Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(379,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.379");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.d (of order \(2\), degree \(1\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 379.9 | ||
Character | \(\chi\) | \(=\) | 380.379 |
Dual form | 380.2.d.b.379.12 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.948256 | − | 1.04920i | −0.670518 | − | 0.741893i | ||||
\(3\) | − | 1.76151i | − | 1.01701i | −0.861060 | − | 0.508503i | \(-0.830199\pi\) | ||
0.861060 | − | 0.508503i | \(-0.169801\pi\) | |||||||
\(4\) | −0.201622 | + | 1.98981i | −0.100811 | + | 0.994906i | ||||
\(5\) | −1.85854 | − | 1.24332i | −0.831163 | − | 0.556028i | ||||
\(6\) | −1.84816 | + | 1.67036i | −0.754510 | + | 0.681921i | ||||
\(7\) | −4.29252 | −1.62242 | −0.811209 | − | 0.584756i | \(-0.801190\pi\) | ||||
−0.811209 | + | 0.584756i | \(0.801190\pi\) | |||||||
\(8\) | 2.27889 | − | 1.67531i | 0.805709 | − | 0.592311i | ||||
\(9\) | −0.102903 | −0.0343009 | ||||||||
\(10\) | 0.457886 | + | 3.12895i | 0.144796 | + | 0.989461i | ||||
\(11\) | − | 0.376641i | − | 0.113562i | −0.998387 | − | 0.0567808i | \(-0.981916\pi\) | ||
0.998387 | − | 0.0567808i | \(-0.0180836\pi\) | |||||||
\(12\) | 3.50506 | + | 0.355158i | 1.01182 | + | 0.102525i | ||||
\(13\) | 0.928582 | 0.257542 | 0.128771 | − | 0.991674i | \(-0.458897\pi\) | ||||
0.128771 | + | 0.991674i | \(0.458897\pi\) | |||||||
\(14\) | 4.07040 | + | 4.50369i | 1.08786 | + | 1.20366i | ||||
\(15\) | −2.19011 | + | 3.27382i | −0.565484 | + | 0.845298i | ||||
\(16\) | −3.91870 | − | 0.802380i | −0.979674 | − | 0.200595i | ||||
\(17\) | 5.96697i | 1.44720i | 0.690219 | + | 0.723601i | \(0.257514\pi\) | ||||
−0.690219 | + | 0.723601i | \(0.742486\pi\) | |||||||
\(18\) | 0.0975780 | + | 0.107965i | 0.0229994 | + | 0.0254476i | ||||
\(19\) | −3.61406 | + | 2.43692i | −0.829122 | + | 0.559068i | ||||
\(20\) | 2.84869 | − | 3.44746i | 0.636986 | − | 0.770875i | ||||
\(21\) | 7.56129i | 1.65001i | ||||||||
\(22\) | −0.395170 | + | 0.357152i | −0.0842505 | + | 0.0761450i | ||||
\(23\) | 0.352652 | 0.0735331 | 0.0367666 | − | 0.999324i | \(-0.488294\pi\) | ||||
0.0367666 | + | 0.999324i | \(0.488294\pi\) | |||||||
\(24\) | −2.95107 | − | 4.01428i | −0.602384 | − | 0.819411i | ||||
\(25\) | 1.90832 | + | 4.62150i | 0.381665 | + | 0.924301i | ||||
\(26\) | −0.880533 | − | 0.974264i | −0.172687 | − | 0.191069i | ||||
\(27\) | − | 5.10325i | − | 0.982122i | ||||||
\(28\) | 0.865466 | − | 8.54130i | 0.163558 | − | 1.61415i | ||||
\(29\) | − | 3.89105i | − | 0.722549i | −0.932459 | − | 0.361275i | \(-0.882342\pi\) | ||
0.932459 | − | 0.361275i | \(-0.117658\pi\) | |||||||
\(30\) | 5.51167 | − | 0.806569i | 1.00629 | − | 0.147259i | ||||
\(31\) | 1.06308 | 0.190934 | 0.0954672 | − | 0.995433i | \(-0.469565\pi\) | ||||
0.0954672 | + | 0.995433i | \(0.469565\pi\) | |||||||
\(32\) | 2.87407 | + | 4.87234i | 0.508069 | + | 0.861316i | ||||
\(33\) | −0.663455 | −0.115493 | ||||||||
\(34\) | 6.26051 | − | 5.65821i | 1.07367 | − | 0.970375i | ||||
\(35\) | 7.97780 | + | 5.33696i | 1.34849 | + | 0.902111i | ||||
\(36\) | 0.0207474 | − | 0.204757i | 0.00345791 | − | 0.0341261i | ||||
\(37\) | −9.60143 | −1.57846 | −0.789232 | − | 0.614095i | \(-0.789521\pi\) | ||||
−0.789232 | + | 0.614095i | \(0.789521\pi\) | |||||||
\(38\) | 5.98386 | + | 1.48103i | 0.970710 | + | 0.240254i | ||||
\(39\) | − | 1.63570i | − | 0.261922i | ||||||
\(40\) | −6.31834 | + | 0.280241i | −0.999018 | + | 0.0443099i | ||||
\(41\) | 6.82129i | 1.06531i | 0.846334 | + | 0.532653i | \(0.178805\pi\) | ||||
−0.846334 | + | 0.532653i | \(0.821195\pi\) | |||||||
\(42\) | 7.93327 | − | 7.17004i | 1.22413 | − | 1.10636i | ||||
\(43\) | −9.45416 | −1.44175 | −0.720873 | − | 0.693067i | \(-0.756259\pi\) | ||||
−0.720873 | + | 0.693067i | \(0.756259\pi\) | |||||||
\(44\) | 0.749444 | + | 0.0759391i | 0.112983 | + | 0.0114483i | ||||
\(45\) | 0.191248 | + | 0.127941i | 0.0285096 | + | 0.0190723i | ||||
\(46\) | −0.334405 | − | 0.370001i | −0.0493053 | − | 0.0545537i | ||||
\(47\) | −2.56158 | −0.373645 | −0.186823 | − | 0.982394i | \(-0.559819\pi\) | ||||
−0.186823 | + | 0.982394i | \(0.559819\pi\) | |||||||
\(48\) | −1.41340 | + | 6.90281i | −0.204006 | + | 0.996334i | ||||
\(49\) | 11.4257 | 1.63224 | ||||||||
\(50\) | 3.03928 | − | 6.38457i | 0.429819 | − | 0.902915i | ||||
\(51\) | 10.5108 | 1.47181 | ||||||||
\(52\) | −0.187223 | + | 1.84770i | −0.0259631 | + | 0.256230i | ||||
\(53\) | 3.18648 | 0.437697 | 0.218848 | − | 0.975759i | \(-0.429770\pi\) | ||||
0.218848 | + | 0.975759i | \(0.429770\pi\) | |||||||
\(54\) | −5.35431 | + | 4.83919i | −0.728629 | + | 0.658530i | ||||
\(55\) | −0.468284 | + | 0.700001i | −0.0631434 | + | 0.0943882i | ||||
\(56\) | −9.78217 | + | 7.19129i | −1.30720 | + | 0.960977i | ||||
\(57\) | 4.29265 | + | 6.36618i | 0.568576 | + | 0.843221i | ||||
\(58\) | −4.08247 | + | 3.68971i | −0.536054 | + | 0.484482i | ||||
\(59\) | 3.98595 | 0.518927 | 0.259463 | − | 0.965753i | \(-0.416454\pi\) | ||||
0.259463 | + | 0.965753i | \(0.416454\pi\) | |||||||
\(60\) | −6.07272 | − | 5.01798i | −0.783985 | − | 0.647819i | ||||
\(61\) | −3.22322 | −0.412691 | −0.206346 | − | 0.978479i | \(-0.566157\pi\) | ||||
−0.206346 | + | 0.978479i | \(0.566157\pi\) | |||||||
\(62\) | −1.00807 | − | 1.11538i | −0.128025 | − | 0.141653i | ||||
\(63\) | 0.441711 | 0.0556504 | ||||||||
\(64\) | 2.38668 | − | 7.63569i | 0.298335 | − | 0.954461i | ||||
\(65\) | −1.72580 | − | 1.15452i | −0.214060 | − | 0.143201i | ||||
\(66\) | 0.629125 | + | 0.696094i | 0.0774400 | + | 0.0856833i | ||||
\(67\) | − | 8.75380i | − | 1.06945i | −0.845027 | − | 0.534723i | \(-0.820416\pi\) | ||
0.845027 | − | 0.534723i | \(-0.179584\pi\) | |||||||
\(68\) | −11.8731 | − | 1.20307i | −1.43983 | − | 0.145894i | ||||
\(69\) | − | 0.621199i | − | 0.0747836i | ||||||
\(70\) | −1.96548 | − | 13.4311i | −0.234920 | − | 1.60532i | ||||
\(71\) | −10.1166 | −1.20062 | −0.600308 | − | 0.799769i | \(-0.704956\pi\) | ||||
−0.600308 | + | 0.799769i | \(0.704956\pi\) | |||||||
\(72\) | −0.234504 | + | 0.172394i | −0.0276365 | + | 0.0203168i | ||||
\(73\) | − | 5.09707i | − | 0.596567i | −0.954477 | − | 0.298283i | \(-0.903586\pi\) | ||
0.954477 | − | 0.298283i | \(-0.0964141\pi\) | |||||||
\(74\) | 9.10461 | + | 10.0738i | 1.05839 | + | 1.17105i | ||||
\(75\) | 8.14081 | − | 3.36152i | 0.940019 | − | 0.388155i | ||||
\(76\) | −4.12034 | − | 7.68263i | −0.472636 | − | 0.881258i | ||||
\(77\) | 1.61674i | 0.184244i | ||||||||
\(78\) | −1.71617 | + | 1.55106i | −0.194318 | + | 0.175623i | ||||
\(79\) | −14.4968 | −1.63102 | −0.815509 | − | 0.578745i | \(-0.803543\pi\) | ||||
−0.815509 | + | 0.578745i | \(0.803543\pi\) | |||||||
\(80\) | 6.28543 | + | 6.36344i | 0.702733 | + | 0.711454i | ||||
\(81\) | −9.29812 | −1.03312 | ||||||||
\(82\) | 7.15687 | − | 6.46833i | 0.790344 | − | 0.714307i | ||||
\(83\) | 3.49815 | 0.383972 | 0.191986 | − | 0.981398i | \(-0.438507\pi\) | ||||
0.191986 | + | 0.981398i | \(0.438507\pi\) | |||||||
\(84\) | −15.0455 | − | 1.52452i | −1.64160 | − | 0.166339i | ||||
\(85\) | 7.41883 | − | 11.0898i | 0.804686 | − | 1.20286i | ||||
\(86\) | 8.96496 | + | 9.91926i | 0.966716 | + | 1.06962i | ||||
\(87\) | −6.85410 | −0.734837 | ||||||||
\(88\) | −0.630990 | − | 0.858323i | −0.0672638 | − | 0.0914976i | ||||
\(89\) | − | 10.4915i | − | 1.11210i | −0.831149 | − | 0.556050i | \(-0.812316\pi\) | ||
0.831149 | − | 0.556050i | \(-0.187684\pi\) | |||||||
\(90\) | −0.0471176 | − | 0.321977i | −0.00496664 | − | 0.0339394i | ||||
\(91\) | −3.98595 | −0.417841 | ||||||||
\(92\) | −0.0711025 | + | 0.701712i | −0.00741295 | + | 0.0731585i | ||||
\(93\) | − | 1.87262i | − | 0.194181i | ||||||
\(94\) | 2.42904 | + | 2.68760i | 0.250536 | + | 0.277205i | ||||
\(95\) | 9.74673 | − | 0.0356921i | 0.999993 | − | 0.00366193i | ||||
\(96\) | 8.58266 | − | 5.06270i | 0.875964 | − | 0.516709i | ||||
\(97\) | −9.74137 | −0.989086 | −0.494543 | − | 0.869153i | \(-0.664665\pi\) | ||||
−0.494543 | + | 0.869153i | \(0.664665\pi\) | |||||||
\(98\) | −10.8345 | − | 11.9878i | −1.09445 | − | 1.21095i | ||||
\(99\) | 0.0387573i | 0.00389526i | ||||||||
\(100\) | −9.58068 | + | 2.86541i | −0.958068 | + | 0.286541i | ||||
\(101\) | −12.8341 | −1.27704 | −0.638519 | − | 0.769606i | \(-0.720452\pi\) | ||||
−0.638519 | + | 0.769606i | \(0.720452\pi\) | |||||||
\(102\) | −9.96697 | − | 11.0279i | −0.986877 | − | 1.09193i | ||||
\(103\) | 2.13005i | 0.209881i | 0.994479 | + | 0.104940i | \(0.0334651\pi\) | ||||
−0.994479 | + | 0.104940i | \(0.966535\pi\) | |||||||
\(104\) | 2.11614 | − | 1.55566i | 0.207504 | − | 0.152545i | ||||
\(105\) | 9.40109 | − | 14.0529i | 0.917452 | − | 1.37143i | ||||
\(106\) | −3.02160 | − | 3.34324i | −0.293484 | − | 0.324724i | ||||
\(107\) | 16.4182i | 1.58721i | 0.608433 | + | 0.793606i | \(0.291799\pi\) | ||||
−0.608433 | + | 0.793606i | \(0.708201\pi\) | |||||||
\(108\) | 10.1545 | + | 1.02893i | 0.977118 | + | 0.0990087i | ||||
\(109\) | − | 17.3936i | − | 1.66600i | −0.553273 | − | 0.833000i | \(-0.686621\pi\) | ||
0.553273 | − | 0.833000i | \(-0.313379\pi\) | |||||||
\(110\) | 1.17849 | − | 0.172459i | 0.112365 | − | 0.0164433i | ||||
\(111\) | 16.9130i | 1.60531i | ||||||||
\(112\) | 16.8211 | + | 3.44423i | 1.58944 | + | 0.325449i | ||||
\(113\) | −12.0642 | −1.13490 | −0.567452 | − | 0.823406i | \(-0.692071\pi\) | ||||
−0.567452 | + | 0.823406i | \(0.692071\pi\) | |||||||
\(114\) | 2.60884 | − | 10.5406i | 0.244340 | − | 0.987218i | ||||
\(115\) | −0.655418 | − | 0.438459i | −0.0611180 | − | 0.0408865i | ||||
\(116\) | 7.74245 | + | 0.784521i | 0.718868 | + | 0.0728409i | ||||
\(117\) | −0.0955535 | −0.00883392 | ||||||||
\(118\) | −3.77970 | − | 4.18204i | −0.347950 | − | 0.384988i | ||||
\(119\) | − | 25.6133i | − | 2.34797i | ||||||
\(120\) | 0.493646 | + | 11.1298i | 0.0450635 | + | 1.01601i | ||||
\(121\) | 10.8581 | 0.987104 | ||||||||
\(122\) | 3.05644 | + | 3.38179i | 0.276717 | + | 0.306173i | ||||
\(123\) | 12.0157 | 1.08342 | ||||||||
\(124\) | −0.214340 | + | 2.11533i | −0.0192483 | + | 0.189962i | ||||
\(125\) | 2.19931 | − | 10.9619i | 0.196712 | − | 0.980461i | ||||
\(126\) | −0.418855 | − | 0.463441i | −0.0373146 | − | 0.0412866i | ||||
\(127\) | 4.18189i | 0.371083i | 0.982636 | + | 0.185541i | \(0.0594039\pi\) | ||||
−0.982636 | + | 0.185541i | \(0.940596\pi\) | |||||||
\(128\) | −10.2745 | + | 4.73649i | −0.908147 | + | 0.418651i | ||||
\(129\) | 16.6536i | 1.46626i | ||||||||
\(130\) | 0.425185 | + | 2.90549i | 0.0372912 | + | 0.254828i | ||||
\(131\) | 0.974860i | 0.0851740i | 0.999093 | + | 0.0425870i | \(0.0135600\pi\) | ||||
−0.999093 | + | 0.0425870i | \(0.986440\pi\) | |||||||
\(132\) | 0.133767 | − | 1.32015i | 0.0116429 | − | 0.114904i | ||||
\(133\) | 15.5134 | − | 10.4605i | 1.34518 | − | 0.907043i | ||||
\(134\) | −9.18445 | + | 8.30084i | −0.793415 | + | 0.717083i | ||||
\(135\) | −6.34496 | + | 9.48459i | −0.546088 | + | 0.816303i | ||||
\(136\) | 9.99651 | + | 13.5981i | 0.857194 | + | 1.16602i | ||||
\(137\) | − | 3.53192i | − | 0.301753i | −0.988553 | − | 0.150876i | \(-0.951790\pi\) | ||
0.988553 | − | 0.150876i | \(-0.0482095\pi\) | |||||||
\(138\) | −0.651759 | + | 0.589056i | −0.0554814 | + | 0.0501438i | ||||
\(139\) | 7.20995i | 0.611540i | 0.952105 | + | 0.305770i | \(0.0989139\pi\) | ||||
−0.952105 | + | 0.305770i | \(0.901086\pi\) | |||||||
\(140\) | −12.2280 | + | 14.7983i | −1.03346 | + | 1.25068i | ||||
\(141\) | 4.51225i | 0.380000i | ||||||||
\(142\) | 9.59310 | + | 10.6143i | 0.805035 | + | 0.890729i | ||||
\(143\) | − | 0.349742i | − | 0.0292469i | ||||||
\(144\) | 0.403244 | + | 0.0825670i | 0.0336037 | + | 0.00688058i | ||||
\(145\) | −4.83781 | + | 7.23166i | −0.401758 | + | 0.600556i | ||||
\(146\) | −5.34782 | + | 4.83333i | −0.442589 | + | 0.400009i | ||||
\(147\) | − | 20.1264i | − | 1.66000i | ||||||
\(148\) | 1.93586 | − | 19.1050i | 0.159127 | − | 1.57042i | ||||
\(149\) | 3.91562 | 0.320780 | 0.160390 | − | 0.987054i | \(-0.448725\pi\) | ||||
0.160390 | + | 0.987054i | \(0.448725\pi\) | |||||||
\(150\) | −11.2465 | − | 5.35371i | −0.918270 | − | 0.437129i | ||||
\(151\) | 7.22811 | 0.588216 | 0.294108 | − | 0.955772i | \(-0.404978\pi\) | ||||
0.294108 | + | 0.955772i | \(0.404978\pi\) | |||||||
\(152\) | −4.15344 | + | 11.6081i | −0.336888 | + | 0.941545i | ||||
\(153\) | − | 0.614016i | − | 0.0496403i | ||||||
\(154\) | 1.69627 | − | 1.53308i | 0.136690 | − | 0.123539i | ||||
\(155\) | −1.97577 | − | 1.32174i | −0.158698 | − | 0.106165i | ||||
\(156\) | 3.25474 | + | 0.329794i | 0.260588 | + | 0.0264046i | ||||
\(157\) | 23.7964i | 1.89916i | 0.313526 | + | 0.949580i | \(0.398490\pi\) | ||||
−0.313526 | + | 0.949580i | \(0.601510\pi\) | |||||||
\(158\) | 13.7467 | + | 15.2100i | 1.09363 | + | 1.21004i | ||||
\(159\) | − | 5.61301i | − | 0.445140i | ||||||
\(160\) | 0.716291 | − | 12.6288i | 0.0566278 | − | 0.998395i | ||||
\(161\) | −1.51377 | −0.119301 | ||||||||
\(162\) | 8.81699 | + | 9.75554i | 0.692729 | + | 0.766468i | ||||
\(163\) | 15.5139 | 1.21514 | 0.607571 | − | 0.794265i | \(-0.292144\pi\) | ||||
0.607571 | + | 0.794265i | \(0.292144\pi\) | |||||||
\(164\) | −13.5731 | − | 1.37532i | −1.05988 | − | 0.107395i | ||||
\(165\) | 1.23306 | + | 0.824885i | 0.0959933 | + | 0.0642172i | ||||
\(166\) | −3.31714 | − | 3.67025i | −0.257460 | − | 0.284866i | ||||
\(167\) | 4.46016i | 0.345138i | 0.984997 | + | 0.172569i | \(0.0552067\pi\) | ||||
−0.984997 | + | 0.172569i | \(0.944793\pi\) | |||||||
\(168\) | 12.6675 | + | 17.2314i | 0.977319 | + | 1.32943i | ||||
\(169\) | −12.1377 | −0.933672 | ||||||||
\(170\) | −18.6704 | + | 2.73219i | −1.43195 | + | 0.209549i | ||||
\(171\) | 0.371896 | − | 0.250766i | 0.0284396 | − | 0.0191765i | ||||
\(172\) | 1.90617 | − | 18.8120i | 0.145344 | − | 1.43440i | ||||
\(173\) | 21.0522 | 1.60057 | 0.800283 | − | 0.599622i | \(-0.204682\pi\) | ||||
0.800283 | + | 0.599622i | \(0.204682\pi\) | |||||||
\(174\) | 6.49944 | + | 7.19129i | 0.492721 | + | 0.545170i | ||||
\(175\) | −8.19151 | − | 19.8379i | −0.619220 | − | 1.49960i | ||||
\(176\) | −0.302209 | + | 1.47594i | −0.0227799 | + | 0.111253i | ||||
\(177\) | − | 7.02128i | − | 0.527752i | ||||||
\(178\) | −11.0077 | + | 9.94866i | −0.825060 | + | 0.745684i | ||||
\(179\) | 19.5988 | 1.46488 | 0.732440 | − | 0.680832i | \(-0.238381\pi\) | ||||
0.732440 | + | 0.680832i | \(0.238381\pi\) | |||||||
\(180\) | −0.293138 | + | 0.354752i | −0.0218492 | + | 0.0264417i | ||||
\(181\) | − | 17.6144i | − | 1.30926i | −0.755947 | − | 0.654632i | \(-0.772823\pi\) | ||
0.755947 | − | 0.654632i | \(-0.227177\pi\) | |||||||
\(182\) | 3.77970 | + | 4.18204i | 0.280170 | + | 0.309994i | ||||
\(183\) | 5.67772i | 0.419709i | ||||||||
\(184\) | 0.803656 | − | 0.590802i | 0.0592463 | − | 0.0435545i | ||||
\(185\) | 17.8446 | + | 11.9376i | 1.31196 | + | 0.877671i | ||||
\(186\) | −1.96474 | + | 1.77572i | −0.144062 | + | 0.130202i | ||||
\(187\) | 2.24740 | 0.164346 | ||||||||
\(188\) | 0.516472 | − | 5.09707i | 0.0376676 | − | 0.371742i | ||||
\(189\) | 21.9058i | 1.59341i | ||||||||
\(190\) | −9.27984 | − | 10.1924i | −0.673230 | − | 0.739433i | ||||
\(191\) | − | 23.4244i | − | 1.69493i | −0.530849 | − | 0.847467i | \(-0.678127\pi\) | ||
0.530849 | − | 0.847467i | \(-0.321873\pi\) | |||||||
\(192\) | −13.4503 | − | 4.20415i | −0.970693 | − | 0.303408i | ||||
\(193\) | −19.0446 | −1.37086 | −0.685431 | − | 0.728137i | \(-0.740386\pi\) | ||||
−0.685431 | + | 0.728137i | \(0.740386\pi\) | |||||||
\(194\) | 9.23731 | + | 10.2206i | 0.663200 | + | 0.733796i | ||||
\(195\) | −2.03370 | + | 3.04001i | −0.145636 | + | 0.217700i | ||||
\(196\) | −2.30367 | + | 22.7350i | −0.164548 | + | 1.62393i | ||||
\(197\) | − | 19.5602i | − | 1.39361i | −0.717262 | − | 0.696803i | \(-0.754605\pi\) | ||
0.717262 | − | 0.696803i | \(-0.245395\pi\) | |||||||
\(198\) | 0.0406640 | − | 0.0367519i | 0.00288987 | − | 0.00261184i | ||||
\(199\) | 20.7395i | 1.47018i | 0.677969 | + | 0.735091i | \(0.262860\pi\) | ||||
−0.677969 | + | 0.735091i | \(0.737140\pi\) | |||||||
\(200\) | 12.0913 | + | 7.33487i | 0.854984 | + | 0.518654i | ||||
\(201\) | −15.4199 | −1.08763 | ||||||||
\(202\) | 12.1700 | + | 13.4654i | 0.856276 | + | 0.947425i | ||||
\(203\) | 16.7024i | 1.17228i | ||||||||
\(204\) | −2.11922 | + | 20.9146i | −0.148375 | + | 1.46431i | ||||
\(205\) | 8.48103 | − | 12.6776i | 0.592341 | − | 0.885444i | ||||
\(206\) | 2.23484 | − | 2.01984i | 0.155709 | − | 0.140729i | ||||
\(207\) | −0.0362888 | −0.00252225 | ||||||||
\(208\) | −3.63883 | − | 0.745075i | −0.252308 | − | 0.0516617i | ||||
\(209\) | 0.917845 | + | 1.36120i | 0.0634887 | + | 0.0941563i | ||||
\(210\) | −23.6589 | + | 3.46221i | −1.63262 | + | 0.238915i | ||||
\(211\) | 0.0749824 | 0.00516200 | 0.00258100 | − | 0.999997i | \(-0.499178\pi\) | ||||
0.00258100 | + | 0.999997i | \(0.499178\pi\) | |||||||
\(212\) | −0.642465 | + | 6.34050i | −0.0441247 | + | 0.435467i | ||||
\(213\) | 17.8204i | 1.22103i | ||||||||
\(214\) | 17.2259 | − | 15.5687i | 1.17754 | − | 1.06425i | ||||
\(215\) | 17.5709 | + | 11.7545i | 1.19833 | + | 0.801651i | ||||
\(216\) | −8.54953 | − | 11.6298i | −0.581722 | − | 0.791305i | ||||
\(217\) | −4.56328 | −0.309776 | ||||||||
\(218\) | −18.2492 | + | 16.4935i | −1.23599 | + | 1.11708i | ||||
\(219\) | −8.97852 | −0.606712 | ||||||||
\(220\) | −1.29845 | − | 1.07293i | −0.0875417 | − | 0.0723371i | ||||
\(221\) | 5.54082i | 0.372716i | ||||||||
\(222\) | 17.7450 | − | 16.0378i | 1.19097 | − | 1.07639i | ||||
\(223\) | 1.00367i | 0.0672104i | 0.999435 | + | 0.0336052i | \(0.0106989\pi\) | ||||
−0.999435 | + | 0.0336052i | \(0.989301\pi\) | |||||||
\(224\) | −12.3370 | − | 20.9146i | −0.824301 | − | 1.39742i | ||||
\(225\) | −0.196371 | − | 0.475565i | −0.0130914 | − | 0.0317043i | ||||
\(226\) | 11.4399 | + | 12.6577i | 0.760974 | + | 0.841978i | ||||
\(227\) | − | 6.78069i | − | 0.450050i | −0.974353 | − | 0.225025i | \(-0.927754\pi\) | ||
0.974353 | − | 0.225025i | \(-0.0722464\pi\) | |||||||
\(228\) | −13.5330 | + | 7.25801i | −0.896244 | + | 0.480673i | ||||
\(229\) | −18.5264 | −1.22426 | −0.612129 | − | 0.790758i | \(-0.709687\pi\) | ||||
−0.612129 | + | 0.790758i | \(0.709687\pi\) | |||||||
\(230\) | 0.161475 | + | 1.10343i | 0.0106473 | + | 0.0727582i | ||||
\(231\) | 2.84789 | 0.187378 | ||||||||
\(232\) | −6.51870 | − | 8.86727i | −0.427974 | − | 0.582165i | ||||
\(233\) | − | 10.1129i | − | 0.662519i | −0.943540 | − | 0.331259i | \(-0.892527\pi\) | ||
0.943540 | − | 0.331259i | \(-0.107473\pi\) | |||||||
\(234\) | 0.0906091 | + | 0.100254i | 0.00592331 | + | 0.00655383i | ||||
\(235\) | 4.76080 | + | 3.18486i | 0.310560 | + | 0.207758i | ||||
\(236\) | −0.803656 | + | 7.93129i | −0.0523136 | + | 0.516283i | ||||
\(237\) | 25.5362i | 1.65875i | ||||||||
\(238\) | −26.8734 | + | 24.2880i | −1.74194 | + | 1.57435i | ||||
\(239\) | 18.2687i | 1.18171i | 0.806780 | + | 0.590853i | \(0.201208\pi\) | ||||
−0.806780 | + | 0.590853i | \(0.798792\pi\) | |||||||
\(240\) | 11.2092 | − | 11.0718i | 0.723553 | − | 0.714683i | ||||
\(241\) | 13.1021i | 0.843981i | 0.906600 | + | 0.421991i | \(0.138668\pi\) | ||||
−0.906600 | + | 0.421991i | \(0.861332\pi\) | |||||||
\(242\) | −10.2963 | − | 11.3923i | −0.661871 | − | 0.732326i | ||||
\(243\) | 1.06893i | 0.0685718i | ||||||||
\(244\) | 0.649873 | − | 6.41360i | 0.0416038 | − | 0.410589i | ||||
\(245\) | −21.2351 | − | 14.2058i | −1.35666 | − | 0.907573i | ||||
\(246\) | −11.3940 | − | 12.6069i | −0.726455 | − | 0.803784i | ||||
\(247\) | −3.35595 | + | 2.26288i | −0.213534 | + | 0.143984i | ||||
\(248\) | 2.42264 | − | 1.78098i | 0.153838 | − | 0.113093i | ||||
\(249\) | − | 6.16202i | − | 0.390502i | ||||||
\(250\) | −13.5867 | + | 8.08717i | −0.859297 | + | 0.511478i | ||||
\(251\) | − | 12.8628i | − | 0.811891i | −0.913897 | − | 0.405946i | \(-0.866942\pi\) | ||
0.913897 | − | 0.405946i | \(-0.133058\pi\) | |||||||
\(252\) | −0.0890587 | + | 0.878922i | −0.00561017 | + | 0.0553669i | ||||
\(253\) | − | 0.132823i | − | 0.00835053i | ||||||
\(254\) | 4.38762 | − | 3.96550i | 0.275304 | − | 0.248818i | ||||
\(255\) | −19.5348 | − | 13.0683i | −1.22332 | − | 0.818370i | ||||
\(256\) | 14.7124 | + | 6.28857i | 0.919523 | + | 0.393035i | ||||
\(257\) | 27.1520 | 1.69369 | 0.846847 | − | 0.531836i | \(-0.178498\pi\) | ||||
0.846847 | + | 0.531836i | \(0.178498\pi\) | |||||||
\(258\) | 17.4728 | − | 15.7918i | 1.08781 | − | 0.983156i | ||||
\(259\) | 41.2143 | 2.56093 | ||||||||
\(260\) | 2.64524 | − | 3.20125i | 0.164051 | − | 0.198533i | ||||
\(261\) | 0.400399i | 0.0247841i | ||||||||
\(262\) | 1.02282 | − | 0.924417i | 0.0631900 | − | 0.0571107i | ||||
\(263\) | 18.6447 | 1.14968 | 0.574841 | − | 0.818265i | \(-0.305064\pi\) | ||||
0.574841 | + | 0.818265i | \(0.305064\pi\) | |||||||
\(264\) | −1.51194 | + | 1.11149i | −0.0930536 | + | 0.0684076i | ||||
\(265\) | −5.92220 | − | 3.96181i | −0.363798 | − | 0.243372i | ||||
\(266\) | −25.6858 | − | 6.35733i | −1.57490 | − | 0.389793i | ||||
\(267\) | −18.4809 | −1.13101 | ||||||||
\(268\) | 17.4184 | + | 1.76496i | 1.06400 | + | 0.107812i | ||||
\(269\) | 4.51225i | 0.275116i | 0.990494 | + | 0.137558i | \(0.0439254\pi\) | ||||
−0.990494 | + | 0.137558i | \(0.956075\pi\) | |||||||
\(270\) | 15.9678 | − | 2.33671i | 0.971772 | − | 0.142208i | ||||
\(271\) | − | 12.8691i | − | 0.781741i | −0.920446 | − | 0.390871i | \(-0.872174\pi\) | ||
0.920446 | − | 0.390871i | \(-0.127826\pi\) | |||||||
\(272\) | 4.78777 | − | 23.3827i | 0.290301 | − | 1.41779i | ||||
\(273\) | 7.02128i | 0.424947i | ||||||||
\(274\) | −3.70568 | + | 3.34917i | −0.223868 | + | 0.202331i | ||||
\(275\) | 1.74065 | − | 0.718753i | 0.104965 | − | 0.0433424i | ||||
\(276\) | 1.23607 | + | 0.125247i | 0.0744026 | + | 0.00753901i | ||||
\(277\) | 4.35925i | 0.261922i | 0.991388 | + | 0.130961i | \(0.0418063\pi\) | ||||
−0.991388 | + | 0.130961i | \(0.958194\pi\) | |||||||
\(278\) | 7.56465 | − | 6.83688i | 0.453697 | − | 0.410049i | ||||
\(279\) | −0.109394 | −0.00654922 | ||||||||
\(280\) | 27.1216 | − | 1.20294i | 1.62083 | − | 0.0718893i | ||||
\(281\) | − | 7.22169i | − | 0.430810i | −0.976525 | − | 0.215405i | \(-0.930893\pi\) | ||
0.976525 | − | 0.215405i | \(-0.0691071\pi\) | |||||||
\(282\) | 4.73423 | − | 4.27876i | 0.281919 | − | 0.254797i | ||||
\(283\) | 4.15031 | 0.246710 | 0.123355 | − | 0.992363i | \(-0.460635\pi\) | ||||
0.123355 | + | 0.992363i | \(0.460635\pi\) | |||||||
\(284\) | 2.03973 | − | 20.1301i | 0.121035 | − | 1.19450i | ||||
\(285\) | −0.0628719 | − | 17.1689i | −0.00372421 | − | 1.01700i | ||||
\(286\) | −0.366948 | + | 0.331645i | −0.0216981 | + | 0.0196106i | ||||
\(287\) | − | 29.2805i | − | 1.72837i | ||||||
\(288\) | −0.295750 | − | 0.501376i | −0.0174272 | − | 0.0295439i | ||||
\(289\) | −18.6047 | −1.09439 | ||||||||
\(290\) | 12.1749 | − | 1.78166i | 0.714935 | − | 0.104622i | ||||
\(291\) | 17.1595i | 1.00591i | ||||||||
\(292\) | 10.1422 | + | 1.02768i | 0.593528 | + | 0.0601405i | ||||
\(293\) | 4.82841 | 0.282079 | 0.141039 | − | 0.990004i | \(-0.454956\pi\) | ||||
0.141039 | + | 0.990004i | \(0.454956\pi\) | |||||||
\(294\) | −21.1166 | + | 19.0850i | −1.23154 | + | 1.11306i | ||||
\(295\) | −7.40804 | − | 4.95580i | −0.431313 | − | 0.288538i | ||||
\(296\) | −21.8806 | + | 16.0854i | −1.27178 | + | 0.934942i | ||||
\(297\) | −1.92209 | −0.111531 | ||||||||
\(298\) | −3.71301 | − | 4.10825i | −0.215089 | − | 0.237985i | ||||
\(299\) | 0.327467 | 0.0189379 | ||||||||
\(300\) | 5.04743 | + | 16.8764i | 0.291413 | + | 0.974361i | ||||
\(301\) | 40.5821 | 2.33911 | ||||||||
\(302\) | −6.85410 | − | 7.58370i | −0.394409 | − | 0.436393i | ||||
\(303\) | 22.6073i | 1.29875i | ||||||||
\(304\) | 16.1177 | − | 6.64972i | 0.924415 | − | 0.381387i | ||||
\(305\) | 5.99048 | + | 4.00749i | 0.343014 | + | 0.229468i | ||||
\(306\) | −0.644223 | + | 0.582245i | −0.0368278 | + | 0.0332847i | ||||
\(307\) | 0.488437i | 0.0278766i | 0.999903 | + | 0.0139383i | \(0.00443684\pi\) | ||||
−0.999903 | + | 0.0139383i | \(0.995563\pi\) | |||||||
\(308\) | −3.21700 | − | 0.325970i | −0.183306 | − | 0.0185739i | ||||
\(309\) | 3.75210 | 0.213450 | ||||||||
\(310\) | 0.486769 | + | 3.32632i | 0.0276466 | + | 0.188922i | ||||
\(311\) | 2.59142i | 0.146946i | 0.997297 | + | 0.0734730i | \(0.0234083\pi\) | ||||
−0.997297 | + | 0.0734730i | \(0.976592\pi\) | |||||||
\(312\) | −2.74031 | − | 3.72759i | −0.155139 | − | 0.211033i | ||||
\(313\) | − | 9.45632i | − | 0.534503i | −0.963627 | − | 0.267251i | \(-0.913885\pi\) | ||
0.963627 | − | 0.267251i | \(-0.0861154\pi\) | |||||||
\(314\) | 24.9671 | − | 22.5651i | 1.40897 | − | 1.27342i | ||||
\(315\) | −0.820937 | − | 0.549187i | −0.0462545 | − | 0.0309432i | ||||
\(316\) | 2.92287 | − | 28.8459i | 0.164425 | − | 1.62271i | ||||
\(317\) | −23.7528 | −1.33409 | −0.667045 | − | 0.745018i | \(-0.732441\pi\) | ||||
−0.667045 | + | 0.745018i | \(0.732441\pi\) | |||||||
\(318\) | −5.88914 | + | 5.32257i | −0.330247 | + | 0.298475i | ||||
\(319\) | −1.46553 | −0.0820538 | ||||||||
\(320\) | −13.9293 | + | 11.2238i | −0.778673 | + | 0.627430i | ||||
\(321\) | 28.9208 | 1.61420 | ||||||||
\(322\) | 1.43544 | + | 1.58824i | 0.0799938 | + | 0.0885090i | ||||
\(323\) | −14.5410 | − | 21.5650i | −0.809085 | − | 1.19991i | ||||
\(324\) | 1.87471 | − | 18.5015i | 0.104150 | − | 1.02786i | ||||
\(325\) | 1.77203 | + | 4.29145i | 0.0982948 | + | 0.238047i | ||||
\(326\) | −14.7111 | − | 16.2771i | −0.814775 | − | 0.901506i | ||||
\(327\) | −30.6388 | −1.69433 | ||||||||
\(328\) | 11.4278 | + | 15.5450i | 0.630993 | + | 0.858327i | ||||
\(329\) | 10.9956 | 0.606209 | ||||||||
\(330\) | −0.303787 | − | 2.07592i | −0.0167229 | − | 0.114276i | ||||
\(331\) | −17.7390 | −0.975021 | −0.487511 | − | 0.873117i | \(-0.662095\pi\) | ||||
−0.487511 | + | 0.873117i | \(0.662095\pi\) | |||||||
\(332\) | −0.705305 | + | 6.96066i | −0.0387086 | + | 0.382016i | ||||
\(333\) | 0.988012 | 0.0541427 | ||||||||
\(334\) | 4.67958 | − | 4.22938i | 0.256055 | − | 0.231421i | ||||
\(335\) | −10.8838 | + | 16.2693i | −0.594643 | + | 0.888885i | ||||
\(336\) | 6.06703 | − | 29.6304i | 0.330983 | − | 1.61647i | ||||
\(337\) | −4.34489 | −0.236681 | −0.118341 | − | 0.992973i | \(-0.537757\pi\) | ||||
−0.118341 | + | 0.992973i | \(0.537757\pi\) | |||||||
\(338\) | 11.5097 | + | 12.7349i | 0.626044 | + | 0.692685i | ||||
\(339\) | 21.2512i | 1.15420i | ||||||||
\(340\) | 20.5709 | + | 16.9980i | 1.11561 | + | 0.921848i | ||||
\(341\) | − | 0.400399i | − | 0.0216828i | ||||||
\(342\) | −0.615755 | − | 0.152401i | −0.0332962 | − | 0.00824093i | ||||
\(343\) | −18.9974 | −1.02576 | ||||||||
\(344\) | −21.5450 | + | 15.8386i | −1.16163 | + | 0.853962i | ||||
\(345\) | −0.772348 | + | 1.15452i | −0.0415818 | + | 0.0621574i | ||||
\(346\) | −19.9628 | − | 22.0878i | −1.07321 | − | 1.18745i | ||||
\(347\) | −23.7679 | −1.27593 | −0.637964 | − | 0.770067i | \(-0.720223\pi\) | ||||
−0.637964 | + | 0.770067i | \(0.720223\pi\) | |||||||
\(348\) | 1.38194 | − | 13.6384i | 0.0740796 | − | 0.731093i | ||||
\(349\) | 14.9933 | 0.802570 | 0.401285 | − | 0.915953i | \(-0.368564\pi\) | ||||
0.401285 | + | 0.915953i | \(0.368564\pi\) | |||||||
\(350\) | −13.0462 | + | 27.4059i | −0.697347 | + | 1.46491i | ||||
\(351\) | − | 4.73879i | − | 0.252938i | ||||||
\(352\) | 1.83512 | − | 1.08249i | 0.0978124 | − | 0.0576971i | ||||
\(353\) | 3.27604i | 0.174366i | 0.996192 | + | 0.0871831i | \(0.0277865\pi\) | ||||
−0.996192 | + | 0.0871831i | \(0.972213\pi\) | |||||||
\(354\) | −7.36669 | + | 6.65797i | −0.391535 | + | 0.353867i | ||||
\(355\) | 18.8020 | + | 12.5781i | 0.997909 | + | 0.667577i | ||||
\(356\) | 20.8762 | + | 2.11533i | 1.10644 | + | 0.112112i | ||||
\(357\) | −45.1180 | −2.38790 | ||||||||
\(358\) | −18.5846 | − | 20.5629i | −0.982228 | − | 1.08678i | ||||
\(359\) | − | 1.83814i | − | 0.0970133i | −0.998823 | − | 0.0485067i | \(-0.984554\pi\) | ||
0.998823 | − | 0.0485067i | \(-0.0154462\pi\) | |||||||
\(360\) | 0.650174 | − | 0.0288375i | 0.0342672 | − | 0.00151987i | ||||
\(361\) | 7.12282 | − | 17.6144i | 0.374885 | − | 0.927071i | ||||
\(362\) | −18.4809 | + | 16.7029i | −0.971335 | + | 0.877886i | ||||
\(363\) | − | 19.1267i | − | 1.00389i | ||||||
\(364\) | 0.803656 | − | 7.93129i | 0.0421230 | − | 0.415713i | ||||
\(365\) | −6.33728 | + | 9.47309i | −0.331708 | + | 0.495844i | ||||
\(366\) | 5.95704 | − | 5.38393i | 0.311380 | − | 0.281423i | ||||
\(367\) | 9.82842 | 0.513040 | 0.256520 | − | 0.966539i | \(-0.417424\pi\) | ||||
0.256520 | + | 0.966539i | \(0.417424\pi\) | |||||||
\(368\) | −1.38194 | − | 0.282961i | −0.0720385 | − | 0.0147504i | ||||
\(369\) | − | 0.701928i | − | 0.0365409i | ||||||
\(370\) | −4.39636 | − | 30.0424i | −0.228556 | − | 1.56183i | ||||
\(371\) | −13.6780 | −0.710128 | ||||||||
\(372\) | 3.72616 | + | 0.377561i | 0.193192 | + | 0.0195756i | ||||
\(373\) | −8.37248 | −0.433510 | −0.216755 | − | 0.976226i | \(-0.569547\pi\) | ||||
−0.216755 | + | 0.976226i | \(0.569547\pi\) | |||||||
\(374\) | −2.13111 | − | 2.35797i | −0.110197 | − | 0.121928i | ||||
\(375\) | −19.3094 | − | 3.87409i | −0.997135 | − | 0.200057i | ||||
\(376\) | −5.83757 | + | 4.29145i | −0.301050 | + | 0.221314i | ||||
\(377\) | − | 3.61316i | − | 0.186087i | ||||||
\(378\) | 22.9835 | − | 20.7723i | 1.18214 | − | 1.06841i | ||||
\(379\) | −32.6382 | −1.67651 | −0.838256 | − | 0.545277i | \(-0.816425\pi\) | ||||
−0.838256 | + | 0.545277i | \(0.816425\pi\) | |||||||
\(380\) | −1.89414 | + | 19.4013i | −0.0971671 | + | 0.995268i | ||||
\(381\) | 7.36642 | 0.377393 | ||||||||
\(382\) | −24.5768 | + | 22.2124i | −1.25746 | + | 1.13648i | ||||
\(383\) | − | 6.10267i | − | 0.311832i | −0.987770 | − | 0.155916i | \(-0.950167\pi\) | ||
0.987770 | − | 0.155916i | \(-0.0498329\pi\) | |||||||
\(384\) | 8.34336 | + | 18.0986i | 0.425770 | + | 0.923591i | ||||
\(385\) | 2.01012 | − | 3.00477i | 0.102445 | − | 0.153137i | ||||
\(386\) | 18.0592 | + | 19.9815i | 0.919188 | + | 1.01703i | ||||
\(387\) | 0.972857 | 0.0494531 | ||||||||
\(388\) | 1.96407 | − | 19.3835i | 0.0997108 | − | 0.984047i | ||||
\(389\) | 3.65867 | 0.185502 | 0.0927510 | − | 0.995689i | \(-0.470434\pi\) | ||||
0.0927510 | + | 0.995689i | \(0.470434\pi\) | |||||||
\(390\) | 5.11803 | − | 0.748965i | 0.259162 | − | 0.0379253i | ||||
\(391\) | 2.10427i | 0.106417i | ||||||||
\(392\) | 26.0379 | − | 19.1416i | 1.31511 | − | 0.966795i | ||||
\(393\) | 1.71722 | 0.0866224 | ||||||||
\(394\) | −20.5225 | + | 18.5481i | −1.03391 | + | 0.934439i | ||||
\(395\) | 26.9428 | + | 18.0241i | 1.35564 | + | 0.906892i | ||||
\(396\) | −0.0771198 | − | 0.00781433i | −0.00387541 | − | 0.000392685i | ||||
\(397\) | 30.1641i | 1.51389i | 0.653478 | + | 0.756946i | \(0.273309\pi\) | ||||
−0.653478 | + | 0.756946i | \(0.726691\pi\) | |||||||
\(398\) | 21.7597 | − | 19.6663i | 1.09072 | − | 0.985783i | ||||
\(399\) | −18.4263 | − | 27.3269i | −0.922468 | − | 1.36806i | ||||
\(400\) | −3.76994 | − | 19.6415i | −0.188497 | − | 0.982074i | ||||
\(401\) | − | 34.6456i | − | 1.73012i | −0.501670 | − | 0.865059i | \(-0.667281\pi\) | ||
0.501670 | − | 0.865059i | \(-0.332719\pi\) | |||||||
\(402\) | 14.6220 | + | 16.1785i | 0.729278 | + | 0.806908i | ||||
\(403\) | 0.987155 | 0.0491737 | ||||||||
\(404\) | 2.58763 | − | 25.5374i | 0.128739 | − | 1.27053i | ||||
\(405\) | 17.2809 | + | 11.5605i | 0.858695 | + | 0.574447i | ||||
\(406\) | 17.5241 | − | 15.8381i | 0.869705 | − | 0.786033i | ||||
\(407\) | 3.61629i | 0.179253i | ||||||||
\(408\) | 23.9531 | − | 17.6089i | 1.18585 | − | 0.871771i | ||||
\(409\) | 30.5268i | 1.50945i | 0.656041 | + | 0.754726i | \(0.272230\pi\) | ||||
−0.656041 | + | 0.754726i | \(0.727770\pi\) | |||||||
\(410\) | −21.3435 | + | 3.12337i | −1.05408 | + | 0.154252i | ||||
\(411\) | −6.22150 | −0.306884 | ||||||||
\(412\) | −4.23841 | − | 0.429466i | −0.208811 | − | 0.0211583i | ||||
\(413\) | −17.1098 | −0.841917 | ||||||||
\(414\) | 0.0344111 | + | 0.0380741i | 0.00169121 | + | 0.00187124i | ||||
\(415\) | −6.50145 | − | 4.34931i | −0.319144 | − | 0.213499i | ||||
\(416\) | 2.66881 | + | 4.52437i | 0.130849 | + | 0.221825i | ||||
\(417\) | 12.7004 | 0.621940 | ||||||||
\(418\) | 0.557815 | − | 2.25377i | 0.0272836 | − | 0.110235i | ||||
\(419\) | 6.46767i | 0.315966i | 0.987442 | + | 0.157983i | \(0.0504992\pi\) | ||||
−0.987442 | + | 0.157983i | \(0.949501\pi\) | |||||||
\(420\) | 26.0672 | + | 21.5398i | 1.27195 | + | 1.05103i | ||||
\(421\) | − | 21.2039i | − | 1.03341i | −0.856162 | − | 0.516707i | \(-0.827158\pi\) | ||
0.856162 | − | 0.516707i | \(-0.172842\pi\) | |||||||
\(422\) | −0.0711025 | − | 0.0786712i | −0.00346122 | − | 0.00382965i | ||||
\(423\) | 0.263594 | 0.0128164 | ||||||||
\(424\) | 7.26164 | − | 5.33834i | 0.352656 | − | 0.259253i | ||||
\(425\) | −27.5764 | + | 11.3869i | −1.33765 | + | 0.552346i | ||||
\(426\) | 18.6971 | − | 16.8983i | 0.905877 | − | 0.818726i | ||||
\(427\) | 13.8357 | 0.669558 | ||||||||
\(428\) | −32.6692 | − | 3.31028i | −1.57913 | − | 0.160008i | ||||
\(429\) | −0.616072 | −0.0297443 | ||||||||
\(430\) | −4.32893 | − | 29.5816i | −0.208759 | − | 1.42655i | ||||
\(431\) | −7.73794 | −0.372723 | −0.186362 | − | 0.982481i | \(-0.559670\pi\) | ||||
−0.186362 | + | 0.982481i | \(0.559670\pi\) | |||||||
\(432\) | −4.09475 | + | 19.9981i | −0.197009 | + | 0.962159i | ||||
\(433\) | −23.8336 | −1.14537 | −0.572684 | − | 0.819776i | \(-0.694098\pi\) | ||||
−0.572684 | + | 0.819776i | \(0.694098\pi\) | |||||||
\(434\) | 4.32716 | + | 4.78777i | 0.207710 | + | 0.229820i | ||||
\(435\) | 12.7386 | + | 8.52182i | 0.610769 | + | 0.408590i | ||||
\(436\) | 34.6099 | + | 3.50692i | 1.65751 | + | 0.167951i | ||||
\(437\) | −1.27451 | + | 0.859387i | −0.0609679 | + | 0.0411100i | ||||
\(438\) | 8.51393 | + | 9.42022i | 0.406811 | + | 0.450115i | ||||
\(439\) | −10.4173 | −0.497193 | −0.248596 | − | 0.968607i | \(-0.579969\pi\) | ||||
−0.248596 | + | 0.968607i | \(0.579969\pi\) | |||||||
\(440\) | 0.105550 | + | 2.37975i | 0.00503190 | + | 0.113450i | ||||
\(441\) | −1.17573 | −0.0559873 | ||||||||
\(442\) | 5.81340 | − | 5.25411i | 0.276515 | − | 0.249913i | ||||
\(443\) | 5.03629 | 0.239282 | 0.119641 | − | 0.992817i | \(-0.461826\pi\) | ||||
0.119641 | + | 0.992817i | \(0.461826\pi\) | |||||||
\(444\) | −33.6536 | − | 3.41003i | −1.59713 | − | 0.161833i | ||||
\(445\) | −13.0443 | + | 19.4989i | −0.618360 | + | 0.924337i | ||||
\(446\) | 1.05304 | − | 0.951732i | 0.0498630 | − | 0.0450658i | ||||
\(447\) | − | 6.89739i | − | 0.326235i | ||||||
\(448\) | −10.2449 | + | 32.7763i | −0.484024 | + | 1.54854i | ||||
\(449\) | − | 27.3757i | − | 1.29194i | −0.763363 | − | 0.645970i | \(-0.776453\pi\) | ||
0.763363 | − | 0.645970i | \(-0.223547\pi\) | |||||||
\(450\) | −0.312750 | + | 0.656989i | −0.0147432 | + | 0.0309708i | ||||
\(451\) | 2.56918 | 0.120978 | ||||||||
\(452\) | 2.43241 | − | 24.0055i | 0.114411 | − | 1.12912i | ||||
\(453\) | − | 12.7324i | − | 0.598219i | ||||||
\(454\) | −7.11427 | + | 6.42983i | −0.333889 | + | 0.301767i | ||||
\(455\) | 7.40804 | + | 4.95580i | 0.347294 | + | 0.232332i | ||||
\(456\) | 20.4478 | + | 7.31631i | 0.957556 | + | 0.342618i | ||||
\(457\) | − | 8.86333i | − | 0.414609i | −0.978276 | − | 0.207305i | \(-0.933531\pi\) | ||
0.978276 | − | 0.207305i | \(-0.0664691\pi\) | |||||||
\(458\) | 17.5677 | + | 19.4378i | 0.820887 | + | 0.908268i | ||||
\(459\) | 30.4509 | 1.42133 | ||||||||
\(460\) | 1.00460 | − | 1.21575i | 0.0468396 | − | 0.0566848i | ||||
\(461\) | −6.71485 | −0.312742 | −0.156371 | − | 0.987698i | \(-0.549980\pi\) | ||||
−0.156371 | + | 0.987698i | \(0.549980\pi\) | |||||||
\(462\) | −2.70053 | − | 2.98800i | −0.125640 | − | 0.139014i | ||||
\(463\) | −7.43802 | −0.345674 | −0.172837 | − | 0.984950i | \(-0.555293\pi\) | ||||
−0.172837 | + | 0.984950i | \(0.555293\pi\) | |||||||
\(464\) | −3.12210 | + | 15.2478i | −0.144940 | + | 0.707863i | ||||
\(465\) | −2.32826 | + | 3.48033i | −0.107970 | + | 0.161397i | ||||
\(466\) | −10.6104 | + | 9.58962i | −0.491518 | + | 0.444231i | ||||
\(467\) | 31.0421 | 1.43646 | 0.718228 | − | 0.695808i | \(-0.244953\pi\) | ||||
0.718228 | + | 0.695808i | \(0.244953\pi\) | |||||||
\(468\) | 0.0192657 | − | 0.190133i | 0.000890557 | − | 0.00878892i | ||||
\(469\) | 37.5758i | 1.73509i | ||||||||
\(470\) | −1.17291 | − | 8.01507i | −0.0541025 | − | 0.369708i | ||||
\(471\) | 41.9175 | 1.93146 | ||||||||
\(472\) | 9.08355 | − | 6.67770i | 0.418104 | − | 0.307366i | ||||
\(473\) | 3.56082i | 0.163727i | ||||||||
\(474\) | 26.7925 | − | 24.2148i | 1.23062 | − | 1.11222i | ||||
\(475\) | −18.1590 | − | 12.0519i | −0.833194 | − | 0.552981i | ||||
\(476\) | 50.9656 | + | 5.16421i | 2.33601 | + | 0.236701i | ||||
\(477\) | −0.327897 | −0.0150134 | ||||||||
\(478\) | 19.1675 | − | 17.3234i | 0.876699 | − | 0.792355i | ||||
\(479\) | 21.0127i | 0.960093i | 0.877243 | + | 0.480046i | \(0.159380\pi\) | ||||
−0.877243 | + | 0.480046i | \(0.840620\pi\) | |||||||
\(480\) | −22.2457 | − | 1.26175i | −1.01537 | − | 0.0575908i | ||||
\(481\) | −8.91571 | −0.406521 | ||||||||
\(482\) | 13.7467 | − | 12.4242i | 0.626144 | − | 0.565905i | ||||
\(483\) | 2.66651i | 0.121330i | ||||||||
\(484\) | −2.18924 | + | 21.6057i | −0.0995110 | + | 0.982075i | ||||
\(485\) | 18.1047 | + | 12.1116i | 0.822092 | + | 0.549960i | ||||
\(486\) | 1.12152 | − | 1.01362i | 0.0508730 | − | 0.0459786i | ||||
\(487\) | 23.9504i | 1.08530i | 0.839960 | + | 0.542648i | \(0.182578\pi\) | ||||
−0.839960 | + | 0.542648i | \(0.817422\pi\) | |||||||
\(488\) | −7.34537 | + | 5.39989i | −0.332509 | + | 0.244442i | ||||
\(489\) | − | 27.3278i | − | 1.23581i | ||||||
\(490\) | 5.23167 | + | 35.7505i | 0.236343 | + | 1.61504i | ||||
\(491\) | 31.9941i | 1.44387i | 0.691959 | + | 0.721937i | \(0.256748\pi\) | ||||
−0.691959 | + | 0.721937i | \(0.743252\pi\) | |||||||
\(492\) | −2.42264 | + | 23.9091i | −0.109221 | + | 1.07790i | ||||
\(493\) | 23.2177 | 1.04567 | ||||||||
\(494\) | 5.55650 | + | 1.37525i | 0.249999 | + | 0.0618756i | ||||
\(495\) | 0.0481877 | − | 0.0720320i | 0.00216587 | − | 0.00323760i | ||||
\(496\) | −4.16588 | − | 0.852992i | −0.187054 | − | 0.0383005i | ||||
\(497\) | 43.4256 | 1.94790 | ||||||||
\(498\) | −6.46516 | + | 5.84317i | −0.289711 | + | 0.261839i | ||||
\(499\) | − | 29.7730i | − | 1.33282i | −0.745584 | − | 0.666412i | \(-0.767829\pi\) | ||
0.745584 | − | 0.666412i | \(-0.232171\pi\) | |||||||
\(500\) | 21.3687 | + | 6.58636i | 0.955636 | + | 0.294551i | ||||
\(501\) | 7.85660 | 0.351007 | ||||||||
\(502\) | −13.4956 | + | 12.1972i | −0.602337 | + | 0.544388i | ||||
\(503\) | −24.3841 | −1.08723 | −0.543617 | − | 0.839333i | \(-0.682946\pi\) | ||||
−0.543617 | + | 0.839333i | \(0.682946\pi\) | |||||||
\(504\) | 1.00661 | − | 0.740003i | 0.0448380 | − | 0.0329623i | ||||
\(505\) | 23.8526 | + | 15.9568i | 1.06143 | + | 0.710069i | ||||
\(506\) | −0.139358 | + | 0.125950i | −0.00619520 | + | 0.00559918i | ||||
\(507\) | 21.3807i | 0.949550i | ||||||||
\(508\) | −8.32117 | − | 0.843161i | −0.369192 | − | 0.0374092i | ||||
\(509\) | 28.9266i | 1.28215i | 0.767478 | + | 0.641075i | \(0.221511\pi\) | ||||
−0.767478 | + | 0.641075i | \(0.778489\pi\) | |||||||
\(510\) | 4.81277 | + | 32.8879i | 0.213113 | + | 1.45630i | ||||
\(511\) | 21.8793i | 0.967881i | ||||||||
\(512\) | −7.35316 | − | 21.3993i | −0.324967 | − | 0.945725i | ||||
\(513\) | 12.4362 | + | 18.4434i | 0.549073 | + | 0.814298i | ||||
\(514\) | −25.7470 | − | 28.4877i | −1.13565 | − | 1.25654i | ||||
\(515\) | 2.64833 | − | 3.95879i | 0.116700 | − | 0.174445i | ||||
\(516\) | −33.1374 | − | 3.35772i | −1.45879 | − | 0.147816i | ||||
\(517\) | 0.964797i | 0.0424317i | ||||||||
\(518\) | −39.0817 | − | 43.2418i | −1.71715 | − | 1.89994i | ||||
\(519\) | − | 37.0835i | − | 1.62779i | ||||||
\(520\) | −5.86710 | + | 0.260226i | −0.257289 | + | 0.0114117i | ||||
\(521\) | − | 8.62409i | − | 0.377828i | −0.981994 | − | 0.188914i | \(-0.939503\pi\) | ||
0.981994 | − | 0.188914i | \(-0.0604968\pi\) | |||||||
\(522\) | 0.420097 | − | 0.379680i | 0.0183871 | − | 0.0166182i | ||||
\(523\) | − | 33.0172i | − | 1.44374i | −0.692028 | − | 0.721870i | \(-0.743283\pi\) | ||
0.692028 | − | 0.721870i | \(-0.256717\pi\) | |||||||
\(524\) | −1.93979 | − | 0.196553i | −0.0847400 | − | 0.00858647i | ||||
\(525\) | −34.9445 | + | 14.4294i | −1.52510 | + | 0.629750i | ||||
\(526\) | −17.6800 | − | 19.5620i | −0.770883 | − | 0.852942i | ||||
\(527\) | 6.34335i | 0.276321i | ||||||||
\(528\) | 2.59988 | + | 0.532343i | 0.113145 | + | 0.0231673i | ||||
\(529\) | −22.8756 | −0.994593 | ||||||||
\(530\) | 1.45905 | + | 9.97035i | 0.0633769 | + | 0.433084i | ||||
\(531\) | −0.410165 | −0.0177996 | ||||||||
\(532\) | 17.6866 | + | 32.9778i | 0.766813 | + | 1.42977i | ||||
\(533\) | 6.33413i | 0.274361i | ||||||||
\(534\) | 17.5246 | + | 19.3901i | 0.758364 | + | 0.839091i | ||||
\(535\) | 20.4131 | − | 30.5139i | 0.882535 | − | 1.31923i | ||||
\(536\) | −14.6653 | − | 19.9489i | −0.633445 | − | 0.861663i | ||||
\(537\) | − | 34.5233i | − | 1.48979i | ||||||
\(538\) | 4.73423 | − | 4.27876i | 0.204107 | − | 0.184471i | ||||
\(539\) | − | 4.30338i | − | 0.185360i | ||||||
\(540\) | −17.5933 | − | 14.5376i | −0.757093 | − | 0.625598i | ||||
\(541\) | −31.2615 | −1.34404 | −0.672018 | − | 0.740535i | \(-0.734572\pi\) | ||||
−0.672018 | + | 0.740535i | \(0.734572\pi\) | |||||||
\(542\) | −13.5022 | + | 12.2032i | −0.579969 | + | 0.524172i | ||||
\(543\) | −31.0278 | −1.33153 | ||||||||
\(544\) | −29.0731 | + | 17.1495i | −1.24650 | + | 0.735279i | ||||
\(545\) | −21.6257 | + | 32.3266i | −0.926344 | + | 1.38472i | ||||
\(546\) | 7.36669 | − | 6.65797i | 0.315265 | − | 0.284935i | ||||
\(547\) | − | 21.1292i | − | 0.903419i | −0.892165 | − | 0.451709i | \(-0.850814\pi\) | ||
0.892165 | − | 0.451709i | \(-0.149186\pi\) | |||||||
\(548\) | 7.02786 | + | 0.712114i | 0.300215 | + | 0.0304200i | ||||
\(549\) | 0.331678 | 0.0141557 | ||||||||
\(550\) | −2.40469 | − | 1.14472i | −0.102536 | − | 0.0488109i | ||||
\(551\) | 9.48218 | + | 14.0625i | 0.403954 | + | 0.599081i | ||||
\(552\) | −1.04070 | − | 1.41564i | −0.0442952 | − | 0.0602538i | ||||
\(553\) | 62.2277 | 2.64619 | ||||||||
\(554\) | 4.57371 | − | 4.13369i | 0.194318 | − | 0.175624i | ||||
\(555\) | 21.0282 | − | 31.4334i | 0.892597 | − | 1.33427i | ||||
\(556\) | −14.3464 | − | 1.45369i | −0.608425 | − | 0.0616500i | ||||
\(557\) | − | 8.78169i | − | 0.372092i | −0.982541 | − | 0.186046i | \(-0.940433\pi\) | ||
0.982541 | − | 0.186046i | \(-0.0595674\pi\) | |||||||
\(558\) | 0.103733 | + | 0.114775i | 0.00439137 | + | 0.00485882i | ||||
\(559\) | −8.77896 | −0.371310 | ||||||||
\(560\) | −26.9803 | − | 27.3152i | −1.14013 | − | 1.15428i | ||||
\(561\) | − | 3.95881i | − | 0.167141i | ||||||
\(562\) | −7.57696 | + | 6.84801i | −0.319615 | + | 0.288866i | ||||
\(563\) | − | 17.0044i | − | 0.716649i | −0.933597 | − | 0.358325i | \(-0.883348\pi\) | ||
0.933597 | − | 0.358325i | \(-0.116652\pi\) | |||||||
\(564\) | −8.97852 | − | 0.909768i | −0.378064 | − | 0.0383082i | ||||
\(565\) | 22.4218 | + | 14.9996i | 0.943291 | + | 0.631039i | ||||
\(566\) | −3.93556 | − | 4.35449i | −0.165424 | − | 0.183033i | ||||
\(567\) | 39.9123 | 1.67616 | ||||||||
\(568\) | −23.0546 | + | 16.9484i | −0.967348 | + | 0.711139i | ||||
\(569\) | 15.9943i | 0.670515i | 0.942127 | + | 0.335258i | \(0.108823\pi\) | ||||
−0.942127 | + | 0.335258i | \(0.891177\pi\) | |||||||
\(570\) | −17.9539 | + | 16.3465i | −0.752008 | + | 0.684679i | ||||
\(571\) | − | 40.0149i | − | 1.67457i | −0.546765 | − | 0.837286i | \(-0.684141\pi\) | ||
0.546765 | − | 0.837286i | \(-0.315859\pi\) | |||||||
\(572\) | 0.695920 | + | 0.0705157i | 0.0290979 | + | 0.00294841i | ||||
\(573\) | −41.2623 | −1.72376 | ||||||||
\(574\) | −30.7210 | + | 27.7654i | −1.28227 | + | 1.15891i | ||||
\(575\) | 0.672975 | + | 1.62978i | 0.0280650 | + | 0.0679667i | ||||
\(576\) | −0.245596 | + | 0.785732i | −0.0102331 | + | 0.0327388i | ||||
\(577\) | 14.6674i | 0.610613i | 0.952254 | + | 0.305306i | \(0.0987589\pi\) | ||||
−0.952254 | + | 0.305306i | \(0.901241\pi\) | |||||||
\(578\) | 17.6420 | + | 19.5200i | 0.733811 | + | 0.811923i | ||||
\(579\) | 33.5472i | 1.39418i | ||||||||
\(580\) | −13.4142 | − | 11.0844i | −0.556995 | − | 0.460254i | ||||
\(581\) | −15.0159 | −0.622964 | ||||||||
\(582\) | 18.0036 | − | 16.2716i | 0.746275 | − | 0.674478i | ||||
\(583\) | − | 1.20016i | − | 0.0497055i | ||||||
\(584\) | −8.53917 | − | 11.6157i | −0.353353 | − | 0.480659i | ||||
\(585\) | 0.177590 | + | 0.118803i | 0.00734243 | + | 0.00491191i | ||||
\(586\) | −4.57857 | − | 5.06594i | −0.189139 | − | 0.209272i | ||||
\(587\) | 0.410556 | 0.0169454 | 0.00847272 | − | 0.999964i | \(-0.497303\pi\) | ||||
0.00847272 | + | 0.999964i | \(0.497303\pi\) | |||||||
\(588\) | 40.0478 | + | 4.05793i | 1.65154 | + | 0.167346i | ||||
\(589\) | −3.84203 | + | 2.59064i | −0.158308 | + | 0.106745i | ||||
\(590\) | 1.82511 | + | 12.4719i | 0.0751387 | + | 0.513458i | ||||
\(591\) | −34.4554 | −1.41731 | ||||||||
\(592\) | 37.6251 | + | 7.70399i | 1.54638 | + | 0.316632i | ||||
\(593\) | − | 20.4734i | − | 0.840742i | −0.907352 | − | 0.420371i | \(-0.861900\pi\) | ||
0.907352 | − | 0.420371i | \(-0.138100\pi\) | |||||||
\(594\) | 1.82264 | + | 2.01665i | 0.0747837 | + | 0.0827443i | ||||
\(595\) | −31.8455 | + | 47.6033i | −1.30554 | + | 1.95154i | ||||
\(596\) | −0.789476 | + | 7.79135i | −0.0323382 | + | 0.319146i | ||||
\(597\) | 36.5327 | 1.49518 | ||||||||
\(598\) | −0.310522 | − | 0.343576i | −0.0126982 | − | 0.0140499i | ||||
\(599\) | −35.7972 | −1.46263 | −0.731317 | − | 0.682038i | \(-0.761094\pi\) | ||||
−0.731317 | + | 0.682038i | \(0.761094\pi\) | |||||||
\(600\) | 12.9204 | − | 21.2989i | 0.527474 | − | 0.869524i | ||||
\(601\) | 36.5899i | 1.49253i | 0.665647 | + | 0.746267i | \(0.268156\pi\) | ||||
−0.665647 | + | 0.746267i | \(0.731844\pi\) | |||||||
\(602\) | −38.4822 | − | 42.5786i | −1.56842 | − | 1.73537i | ||||
\(603\) | 0.900789i | 0.0366830i | ||||||||
\(604\) | −1.45735 | + | 14.3826i | −0.0592986 | + | 0.585219i | ||||
\(605\) | −20.1803 | − | 13.5001i | −0.820444 | − | 0.548858i | ||||
\(606\) | 23.7195 | − | 21.4375i | 0.963537 | − | 0.870838i | ||||
\(607\) | 24.9730i | 1.01362i | 0.862057 | + | 0.506812i | \(0.169176\pi\) | ||||
−0.862057 | + | 0.506812i | \(0.830824\pi\) | |||||||
\(608\) | −22.2606 | − | 10.6050i | −0.902786 | − | 0.430090i | ||||
\(609\) | 29.4213 | 1.19221 | ||||||||
\(610\) | −1.47587 | − | 10.0853i | −0.0597561 | − | 0.408342i | ||||
\(611\) | −2.37864 | −0.0962295 | ||||||||
\(612\) | 1.22178 | + | 0.123799i | 0.0493874 | + | 0.00500429i | ||||
\(613\) | 19.7446i | 0.797478i | 0.917065 | + | 0.398739i | \(0.130552\pi\) | ||||
−0.917065 | + | 0.398739i | \(0.869448\pi\) | |||||||
\(614\) | 0.512466 | − | 0.463163i | 0.0206814 | − | 0.0186917i | ||||
\(615\) | −22.3317 | − | 14.9394i | −0.900501 | − | 0.602414i | ||||
\(616\) | 2.70853 | + | 3.68437i | 0.109130 | + | 0.148447i | ||||
\(617\) | − | 32.3305i | − | 1.30158i | −0.759259 | − | 0.650788i | \(-0.774439\pi\) | ||
0.759259 | − | 0.650788i | \(-0.225561\pi\) | |||||||
\(618\) | −3.55795 | − | 3.93669i | −0.143122 | − | 0.158357i | ||||
\(619\) | 7.95921i | 0.319908i | 0.987124 | + | 0.159954i | \(0.0511345\pi\) | ||||
−0.987124 | + | 0.159954i | \(0.948865\pi\) | |||||||
\(620\) | 3.02838 | − | 3.66492i | 0.121623 | − | 0.147187i | ||||
\(621\) | − | 1.79967i | − | 0.0722185i | ||||||
\(622\) | 2.71891 | − | 2.45733i | 0.109018 | − | 0.0985300i | ||||
\(623\) | 45.0351i | 1.80429i | ||||||||
\(624\) | −1.31245 | + | 6.40982i | −0.0525402 | + | 0.256598i | ||||
\(625\) | −17.7166 | + | 17.6386i | −0.708664 | + | 0.705546i | ||||
\(626\) | −9.92153 | + | 8.96701i | −0.396544 | + | 0.358394i | ||||
\(627\) | 2.39776 | − | 1.61679i | 0.0957575 | − | 0.0645683i | ||||
\(628\) | −47.3503 | − | 4.79788i | −1.88948 | − | 0.191456i | ||||
\(629\) | − | 57.2914i | − | 2.28436i | ||||||
\(630\) | 0.202253 | + | 1.38209i | 0.00805796 | + | 0.0550639i | ||||
\(631\) | 37.9642i | 1.51133i | 0.654957 | + | 0.755666i | \(0.272687\pi\) | ||||
−0.654957 | + | 0.755666i | \(0.727313\pi\) | |||||||
\(632\) | −33.0366 | + | 24.2866i | −1.31413 | + | 0.966070i | ||||
\(633\) | − | 0.132082i | − | 0.00524979i | ||||||
\(634\) | 22.5237 | + | 24.9213i | 0.894531 | + | 0.989752i | ||||
\(635\) | 5.19942 | − | 7.77220i | 0.206333 | − | 0.308430i | ||||
\(636\) | 11.1688 | + | 1.13171i | 0.442873 | + | 0.0448751i | ||||
\(637\) | 10.6097 | 0.420371 | ||||||||
\(638\) | 1.38969 | + | 1.53762i | 0.0550185 | + | 0.0608751i | ||||
\(639\) | 1.04102 | 0.0411822 | ||||||||
\(640\) | 24.9845 | + | 3.97153i | 0.987600 | + | 0.156989i | ||||
\(641\) | 22.7859i | 0.899988i | 0.893032 | + | 0.449994i | \(0.148574\pi\) | ||||
−0.893032 | + | 0.449994i | \(0.851426\pi\) | |||||||
\(642\) | −27.4243 | − | 30.3436i | −1.08235 | − | 1.19757i | ||||
\(643\) | −17.9394 | −0.707461 | −0.353731 | − | 0.935347i | \(-0.615087\pi\) | ||||
−0.353731 | + | 0.935347i | \(0.615087\pi\) | |||||||
\(644\) | 0.305209 | − | 3.01211i | 0.0120269 | − | 0.118694i | ||||
\(645\) | 20.7057 | − | 30.9513i | 0.815284 | − | 1.21870i | ||||
\(646\) | −8.83723 | + | 35.7055i | −0.347696 | + | 1.40481i | ||||
\(647\) | 21.4626 | 0.843781 | 0.421891 | − | 0.906647i | \(-0.361367\pi\) | ||||
0.421891 | + | 0.906647i | \(0.361367\pi\) | |||||||
\(648\) | −21.1894 | + | 15.5772i | −0.832398 | + | 0.611931i | ||||
\(649\) | − | 1.50127i | − | 0.0589301i | ||||||
\(650\) | 2.82222 | − | 5.92860i | 0.110697 | − | 0.232539i | ||||
\(651\) | 8.03825i | 0.315044i | ||||||||
\(652\) | −3.12794 | + | 30.8697i | −0.122500 | + | 1.20895i | ||||
\(653\) | − | 11.7812i | − | 0.461035i | −0.973068 | − | 0.230518i | \(-0.925958\pi\) | ||
0.973068 | − | 0.230518i | \(-0.0740420\pi\) | |||||||
\(654\) | 29.0535 | + | 32.1461i | 1.13608 | + | 1.25701i | ||||
\(655\) | 1.21206 | − | 1.81181i | 0.0473591 | − | 0.0707935i | ||||
\(656\) | 5.47326 | − | 26.7306i | 0.213695 | − | 1.04365i | ||||
\(657\) | 0.524502i | 0.0204628i | ||||||||
\(658\) | −10.4267 | − | 11.5366i | −0.406474 | − | 0.449743i | ||||
\(659\) | 24.3327 | 0.947866 | 0.473933 | − | 0.880561i | \(-0.342834\pi\) | ||||
0.473933 | + | 0.880561i | \(0.342834\pi\) | |||||||
\(660\) | −1.88998 | + | 2.28723i | −0.0735673 | + | 0.0890305i | ||||
\(661\) | 7.73106i | 0.300703i | 0.988633 | + | 0.150352i | \(0.0480406\pi\) | ||||
−0.988633 | + | 0.150352i | \(0.951959\pi\) | |||||||
\(662\) | 16.8211 | + | 18.6116i | 0.653769 | + | 0.723362i | ||||
\(663\) | 9.76018 | 0.379054 | ||||||||
\(664\) | 7.97191 | − | 5.86049i | 0.309370 | − | 0.227431i | ||||
\(665\) | −41.8380 | + | 0.153209i | −1.62241 | + | 0.00594119i | ||||
\(666\) | −0.936888 | − | 1.03662i | −0.0363037 | − | 0.0401681i | ||||
\(667\) | − | 1.37219i | − | 0.0531313i | ||||||
\(668\) | −8.87488 | − | 0.899267i | −0.343380 | − | 0.0347937i | ||||
\(669\) | 1.76796 | 0.0683534 | ||||||||
\(670\) | 27.3902 | − | 4.00824i | 1.05818 | − | 0.154852i | ||||
\(671\) | 1.21400i | 0.0468658i | ||||||||
\(672\) | −36.8412 | + | 21.7317i | −1.42118 | + | 0.838319i | ||||
\(673\) | 4.63946 | 0.178838 | 0.0894190 | − | 0.995994i | \(-0.471499\pi\) | ||||
0.0894190 | + | 0.995994i | \(0.471499\pi\) | |||||||
\(674\) | 4.12007 | + | 4.55864i | 0.158699 | + | 0.175592i | ||||
\(675\) | 23.5847 | − | 9.73866i | 0.907776 | − | 0.374841i | ||||
\(676\) | 2.44724 | − | 24.1518i | 0.0941244 | − | 0.928915i | ||||
\(677\) | −3.39362 | −0.130427 | −0.0652137 | − | 0.997871i | \(-0.520773\pi\) | ||||
−0.0652137 | + | 0.997871i | \(0.520773\pi\) | |||||||
\(678\) | 22.2966 | − | 20.1515i | 0.856296 | − | 0.773915i | ||||
\(679\) | 41.8150 | 1.60471 | ||||||||
\(680\) | −1.67219 | − | 37.7013i | −0.0641254 | − | 1.44578i | ||||
\(681\) | −11.9442 | −0.457704 | ||||||||
\(682\) | −0.420097 | + | 0.379680i | −0.0160863 | + | 0.0145387i | ||||
\(683\) | 9.59176i | 0.367018i | 0.983018 | + | 0.183509i | \(0.0587457\pi\) | ||||
−0.983018 | + | 0.183509i | \(0.941254\pi\) | |||||||
\(684\) | 0.423994 | + | 0.790562i | 0.0162118 | + | 0.0302279i | ||||
\(685\) | −4.39130 | + | 6.56421i | −0.167783 | + | 0.250806i | ||||
\(686\) | 18.0144 | + | 19.9320i | 0.687792 | + | 0.761006i | ||||
\(687\) | 32.6343i | 1.24508i | ||||||||
\(688\) | 37.0480 | + | 7.58582i | 1.41244 | + | 0.289207i | ||||
\(689\) | 2.95891 | 0.112725 | ||||||||
\(690\) | 1.94370 | − | 0.284438i | 0.0739955 | − | 0.0108284i | ||||
\(691\) | − | 21.3675i | − | 0.812856i | −0.913683 | − | 0.406428i | \(-0.866774\pi\) | ||
0.913683 | − | 0.406428i | \(-0.133226\pi\) | |||||||
\(692\) | −4.24458 | + | 41.8898i | −0.161355 | + | 1.59241i | ||||
\(693\) | − | 0.166366i | − | 0.00631974i | ||||||
\(694\) | 22.5380 | + | 24.9372i | 0.855532 | + | 0.946602i | ||||
\(695\) | 8.96426 | − | 13.4000i | 0.340034 | − | 0.508290i | ||||
\(696\) | −15.6197 | + | 11.4827i | −0.592065 | + | 0.435252i | ||||
\(697\) | −40.7024 | −1.54171 | ||||||||
\(698\) | −14.2174 | − | 15.7308i | −0.538138 | − | 0.595421i | ||||
\(699\) | −17.8139 | −0.673785 | ||||||||
\(700\) | 41.1252 | − | 12.2998i | 1.55439 | − | 0.464889i | ||||
\(701\) | 17.7323 | 0.669739 | 0.334869 | − | 0.942265i | \(-0.391308\pi\) | ||||
0.334869 | + | 0.942265i | \(0.391308\pi\) | |||||||
\(702\) | −4.97192 | + | 4.49358i | −0.187653 | + | 0.169599i | ||||
\(703\) | 34.7001 | − | 23.3979i | 1.30874 | − | 0.882470i | ||||
\(704\) | −2.87591 | − | 0.898921i | −0.108390 | − | 0.0338794i | ||||
\(705\) | 5.61015 | − | 8.38618i | 0.211291 | − | 0.315842i | ||||
\(706\) | 3.43721 | − | 3.10653i | 0.129361 | − | 0.116916i | ||||
\(707\) | 55.0904 | 2.07189 | ||||||||
\(708\) | 13.9710 | + | 1.41564i | 0.525063 | + | 0.0532032i | ||||
\(709\) | 1.60751 | 0.0603715 | 0.0301857 | − | 0.999544i | \(-0.490390\pi\) | ||||
0.0301857 | + | 0.999544i | \(0.490390\pi\) | |||||||
\(710\) | −4.63224 | − | 31.6543i | −0.173845 | − | 1.18796i | ||||
\(711\) | 1.49176 | 0.0559453 | ||||||||
\(712\) | −17.5766 | − | 23.9091i | −0.658710 | − | 0.896030i | ||||
\(713\) | 0.374897 | 0.0140400 | ||||||||
\(714\) | 42.7834 | + | 47.3376i | 1.60113 | + | 1.77156i | ||||
\(715\) | −0.434840 | + | 0.650009i | −0.0162621 | + | 0.0243089i | ||||
\(716\) | −3.95154 | + | 38.9978i | −0.147676 | + | 1.45742i | ||||
\(717\) | 32.1804 | 1.20180 | ||||||||
\(718\) | −1.92857 | + | 1.74303i | −0.0719735 | + | 0.0650492i | ||||
\(719\) | − | 37.3717i | − | 1.39373i | −0.717203 | − | 0.696864i | \(-0.754578\pi\) | ||
0.717203 | − | 0.696864i | \(-0.245422\pi\) | |||||||
\(720\) | −0.646787 | − | 0.654814i | −0.0241043 | − | 0.0244035i | ||||
\(721\) | − | 9.14329i | − | 0.340514i | ||||||
\(722\) | −25.2352 | + | 9.22969i | −0.939155 | + | 0.343493i | ||||
\(723\) | 23.0794 | 0.858334 | ||||||||
\(724\) | 35.0492 | + | 3.55144i | 1.30259 | + | 0.131988i | ||||
\(725\) | 17.9825 | − | 7.42537i | 0.667853 | − | 0.275771i | ||||
\(726\) | −20.0676 | + | 18.1370i | −0.744779 | + | 0.673127i | ||||
\(727\) | 10.1249 | 0.375514 | 0.187757 | − | 0.982216i | \(-0.439878\pi\) | ||||
0.187757 | + | 0.982216i | \(0.439878\pi\) | |||||||
\(728\) | −9.08355 | + | 6.67770i | −0.336659 | + | 0.247492i | ||||
\(729\) | −26.0114 | −0.963386 | ||||||||
\(730\) | 15.9485 | − | 2.33388i | 0.590280 | − | 0.0863806i | ||||
\(731\) | − | 56.4126i | − | 2.08650i | ||||||
\(732\) | −11.2976 | − | 1.14475i | −0.417571 | − | 0.0423113i | ||||
\(733\) | − | 26.6032i | − | 0.982613i | −0.870987 | − | 0.491307i | \(-0.836519\pi\) | ||
0.870987 | − | 0.491307i | \(-0.163481\pi\) | |||||||
\(734\) | −9.31986 | − | 10.3119i | −0.344002 | − | 0.380621i | ||||
\(735\) | −25.0235 | + | 37.4057i | −0.923007 | + | 1.37973i | ||||
\(736\) | 1.01355 | + | 1.71824i | 0.0373599 | + | 0.0633353i | ||||
\(737\) | −3.29704 | −0.121448 | ||||||||
\(738\) | −0.736460 | + | 0.665608i | −0.0271095 | + | 0.0245014i | ||||
\(739\) | 15.5478i | 0.571934i | 0.958239 | + | 0.285967i | \(0.0923147\pi\) | ||||
−0.958239 | + | 0.285967i | \(0.907685\pi\) | |||||||
\(740\) | −27.3515 | + | 33.1005i | −1.00546 | + | 1.21680i | ||||
\(741\) | 3.98608 | + | 5.91152i | 0.146432 | + | 0.217165i | ||||
\(742\) | 12.9703 | + | 14.3509i | 0.476153 | + | 0.526839i | ||||
\(743\) | − | 37.6670i | − | 1.38187i | −0.722918 | − | 0.690934i | \(-0.757199\pi\) | ||
0.722918 | − | 0.690934i | \(-0.242801\pi\) | |||||||
\(744\) | −3.13721 | − | 4.26749i | −0.115016 | − | 0.156454i | ||||
\(745\) | −7.27733 | − | 4.86836i | −0.266621 | − | 0.178363i | ||||
\(746\) | 7.93925 | + | 8.78436i | 0.290677 | + | 0.321618i | ||||
\(747\) | −0.359969 | −0.0131706 | ||||||||
\(748\) | −0.453126 | + | 4.47191i | −0.0165679 | + | 0.163509i | ||||
\(749\) | − | 70.4756i | − | 2.57512i | ||||||
\(750\) | 14.2456 | + | 23.9330i | 0.520176 | + | 0.873910i | ||||
\(751\) | 4.74210 | 0.173042 | 0.0865208 | − | 0.996250i | \(-0.472425\pi\) | ||||
0.0865208 | + | 0.996250i | \(0.472425\pi\) | |||||||
\(752\) | 10.0381 | + | 2.05536i | 0.366051 | + | 0.0749514i | ||||
\(753\) | −22.6579 | −0.825698 | ||||||||
\(754\) | −3.79091 | + | 3.42620i | −0.138057 | + | 0.124775i | ||||
\(755\) | −13.4337 | − | 8.98684i | −0.488903 | − | 0.327065i | ||||
\(756\) | −43.5884 | − | 4.41669i | −1.58529 | − | 0.160634i | ||||
\(757\) | − | 15.0862i | − | 0.548316i | −0.961685 | − | 0.274158i | \(-0.911601\pi\) | ||
0.961685 | − | 0.274158i | \(-0.0883992\pi\) | |||||||
\(758\) | 30.9494 | + | 34.2439i | 1.12413 | + | 1.24379i | ||||
\(759\) | −0.233969 | −0.00849254 | ||||||||
\(760\) | 22.1519 | − | 16.4101i | 0.803535 | − | 0.595258i | ||||
\(761\) | −24.9280 | −0.903638 | −0.451819 | − | 0.892110i | \(-0.649225\pi\) | ||||
−0.451819 | + | 0.892110i | \(0.649225\pi\) | |||||||
\(762\) | −6.98525 | − | 7.72882i | −0.253049 | − | 0.279986i | ||||
\(763\) | 74.6621i | 2.70295i | ||||||||
\(764\) | 46.6102 | + | 4.72288i | 1.68630 | + | 0.170868i | ||||
\(765\) | −0.763417 | + | 1.14117i | −0.0276014 | + | 0.0412592i | ||||
\(766\) | −6.40289 | + | 5.78689i | −0.231346 | + | 0.209089i | ||||
\(767\) | 3.70128 | 0.133646 | ||||||||
\(768\) | 11.0773 | − | 25.9159i | 0.399719 | − | 0.935161i | ||||
\(769\) | 27.1950 | 0.980678 | 0.490339 | − | 0.871532i | \(-0.336873\pi\) | ||||
0.490339 | + | 0.871532i | \(0.336873\pi\) | |||||||
\(770\) | −5.05869 | + | 0.740281i | −0.182303 | + | 0.0266779i | ||||
\(771\) | − | 47.8284i | − | 1.72250i | ||||||
\(772\) | 3.83982 | − | 37.8952i | 0.138198 | − | 1.36388i | ||||
\(773\) | −11.1297 | −0.400308 | −0.200154 | − | 0.979764i | \(-0.564144\pi\) | ||||
−0.200154 | + | 0.979764i | \(0.564144\pi\) | |||||||
\(774\) | −0.922518 | − | 1.02072i | −0.0331592 | − | 0.0366889i | ||||
\(775\) | 2.02870 | + | 4.91302i | 0.0728730 | + | 0.176481i | ||||
\(776\) | −22.1995 | + | 16.3198i | −0.796916 | + | 0.585847i | ||||
\(777\) | − | 72.5992i | − | 2.60448i | ||||||
\(778\) | −3.46936 | − | 3.83866i | −0.124382 | − | 0.137623i | ||||
\(779\) | −16.6230 | − | 24.6525i | −0.595579 | − | 0.883269i | ||||
\(780\) | −5.63902 | − | 4.65961i | −0.201909 | − | 0.166841i | ||||
\(781\) | 3.81032i | 0.136344i | ||||||||
\(782\) | 2.20779 | − | 1.99538i | 0.0789502 | − | 0.0713547i | ||||
\(783\) | −19.8570 | −0.709631 | ||||||||
\(784\) | −44.7738 | − | 9.16775i | −1.59907 | − | 0.327420i | ||||
\(785\) | 29.5865 | − | 44.2265i | 1.05599 | − | 1.57851i | ||||
\(786\) | −1.62837 | − | 1.80170i | −0.0580819 | − | 0.0642646i | ||||
\(787\) | 13.2771i | 0.473278i | 0.971598 | + | 0.236639i | \(0.0760459\pi\) | ||||
−0.971598 | + | 0.236639i | \(0.923954\pi\) | |||||||
\(788\) | 38.9211 | + | 3.94377i | 1.38651 | + | 0.140491i | ||||
\(789\) | − | 32.8428i | − | 1.16923i | ||||||
\(790\) | −6.63788 | − | 45.3598i | −0.236165 | − | 1.61383i | ||||
\(791\) | 51.7858 | 1.84129 | ||||||||
\(792\) | 0.0649305 | + | 0.0883237i | 0.00230721 | + | 0.00313845i | ||||
\(793\) | −2.99303 | −0.106285 | ||||||||
\(794\) | 31.6480 | − | 28.6033i | 1.12315 | − | 1.01509i | ||||
\(795\) | −6.97875 | + | 10.4320i | −0.247511 | + | 0.369984i | ||||
\(796\) | −41.2676 | − | 4.18153i | −1.46269 | − | 0.148210i | ||||
\(797\) | −19.5604 | −0.692866 | −0.346433 | − | 0.938075i | \(-0.612607\pi\) | ||||
−0.346433 | + | 0.938075i | \(0.612607\pi\) | |||||||
\(798\) | −11.1985 | + | 45.2457i | −0.396422 | + | 1.60168i | ||||
\(799\) | − | 15.2849i | − | 0.540740i | ||||||
\(800\) | −17.0329 | + | 22.5805i | −0.602203 | + | 0.798343i | ||||
\(801\) | 1.07961i | 0.0381460i | ||||||||
\(802\) | −36.3500 | + | 32.8529i | −1.28356 | + | 1.16008i | ||||
\(803\) | −1.91976 | −0.0677470 | ||||||||
\(804\) | 3.10899 | − | 30.6826i | 0.109645 | − | 1.08209i | ||||
\(805\) | 2.81339 | + | 1.88209i | 0.0991590 | + | 0.0663350i | ||||
\(806\) | −0.936076 | − | 1.03572i | −0.0329719 | − | 0.0364816i | ||||
\(807\) | 7.94835 | 0.279795 | ||||||||
\(808\) | −29.2474 | + | 21.5010i | −1.02892 | + | 0.756403i | ||||
\(809\) | 6.76217 | 0.237745 | 0.118873 | − | 0.992910i | \(-0.462072\pi\) | ||||
0.118873 | + | 0.992910i | \(0.462072\pi\) | |||||||
\(810\) | −4.25748 | − | 29.0934i | −0.149593 | − | 1.02224i | ||||
\(811\) | −6.17322 | −0.216771 | −0.108385 | − | 0.994109i | \(-0.534568\pi\) | ||||
−0.108385 | + | 0.994109i | \(0.534568\pi\) | |||||||
\(812\) | −33.2346 | − | 3.36757i | −1.16631 | − | 0.118178i | ||||
\(813\) | −22.6690 | −0.795035 | ||||||||
\(814\) | 3.79419 | − | 3.42917i | 0.132986 | − | 0.120192i | ||||
\(815\) | −28.8332 | − | 19.2887i | −1.00998 | − | 0.675654i | ||||
\(816\) | −41.1888 | − | 8.43369i | −1.44190 | − | 0.295238i | ||||
\(817\) | 34.1679 | − | 23.0390i | 1.19538 | − | 0.806034i | ||||
\(818\) | 32.0285 | − | 28.9472i | 1.11985 | − | 1.01211i | ||||
\(819\) | 0.410165 | 0.0143323 | ||||||||
\(820\) | 23.5161 | + | 19.4317i | 0.821218 | + | 0.678586i | ||||
\(821\) | 50.4086 | 1.75927 | 0.879636 | − | 0.475647i | \(-0.157786\pi\) | ||||
0.879636 | + | 0.475647i | \(0.157786\pi\) | |||||||
\(822\) | 5.89958 | + | 6.52757i | 0.205771 | + | 0.227675i | ||||
\(823\) | 42.0362 | 1.46529 | 0.732644 | − | 0.680612i | \(-0.238286\pi\) | ||||
0.732644 | + | 0.680612i | \(0.238286\pi\) | |||||||
\(824\) | 3.56850 | + | 4.85416i | 0.124315 | + | 0.169103i | ||||
\(825\) | −1.26609 | − | 3.06616i | −0.0440795 | − | 0.106750i | ||||
\(826\) | 16.2244 | + | 17.9515i | 0.564520 | + | 0.624612i | ||||
\(827\) | 36.2488i | 1.26050i | 0.776394 | + | 0.630248i | \(0.217047\pi\) | ||||
−0.776394 | + | 0.630248i | \(0.782953\pi\) | |||||||
\(828\) | 0.00731663 | − | 0.0722080i | 0.000254271 | − | 0.00250940i | ||||
\(829\) | 30.0656i | 1.04422i | 0.852878 | + | 0.522110i | \(0.174855\pi\) | ||||
−0.852878 | + | 0.522110i | \(0.825145\pi\) | |||||||
\(830\) | 1.60175 | + | 10.9456i | 0.0555977 | + | 0.379926i | ||||
\(831\) | 7.67885 | 0.266376 | ||||||||
\(832\) | 2.21623 | − | 7.09036i | 0.0768339 | − | 0.245814i | ||||
\(833\) | 68.1767i | 2.36218i | ||||||||
\(834\) | −12.0432 | − | 13.3252i | −0.417022 | − | 0.461413i | ||||
\(835\) | 5.54540 | − | 8.28938i | 0.191906 | − | 0.286866i | ||||
\(836\) | −2.89359 | + | 1.55189i | −0.100077 | + | 0.0536732i | ||||
\(837\) | − | 5.42516i | − | 0.187521i | ||||||
\(838\) | 6.78585 | − | 6.13300i | 0.234413 | − | 0.211861i | ||||
\(839\) | −20.6881 | −0.714231 | −0.357116 | − | 0.934060i | \(-0.616240\pi\) | ||||
−0.357116 | + | 0.934060i | \(0.616240\pi\) | |||||||
\(840\) | −2.11898 | − | 47.7748i | −0.0731118 | − | 1.64839i | ||||
\(841\) | 13.8598 | 0.477923 | ||||||||
\(842\) | −22.2470 | + | 20.1067i | −0.766682 | + | 0.692922i | ||||
\(843\) | −12.7210 | −0.438136 | ||||||||
\(844\) | −0.0151181 | + | 0.149201i | −0.000520387 | + | 0.00513570i | ||||
\(845\) | 22.5584 | + | 15.0911i | 0.776034 | + | 0.519148i | ||||
\(846\) | −0.249954 | − | 0.276561i | −0.00859360 | − | 0.00950837i | ||||
\(847\) | −46.6087 | −1.60150 | ||||||||
\(848\) | −12.4869 | − | 2.55677i | −0.428800 | − | 0.0877998i | ||||
\(849\) | − | 7.31080i | − | 0.250906i | ||||||
\(850\) | 38.0965 | + | 18.1353i | 1.30670 | + | 0.622036i | ||||
\(851\) | −3.38597 | −0.116069 | ||||||||
\(852\) | −35.4593 | − | 3.59299i | −1.21481 | − | 0.123094i | ||||
\(853\) | − | 10.3551i | − | 0.354553i | −0.984161 | − | 0.177276i | \(-0.943271\pi\) | ||
0.984161 | − | 0.177276i | \(-0.0567286\pi\) | |||||||
\(854\) | −13.1198 | − | 14.5164i | −0.448951 | − | 0.496741i | ||||
\(855\) | −1.00296 | + | 0.00367281i | −0.0343006 | + | 0.000125608i | ||||
\(856\) | 27.5056 | + | 37.4154i | 0.940123 | + | 1.27883i | ||||
\(857\) | −8.93791 | −0.305313 | −0.152657 | − | 0.988279i | \(-0.548783\pi\) | ||||
−0.152657 | + | 0.988279i | \(0.548783\pi\) | |||||||
\(858\) | 0.584194 | + | 0.646380i | 0.0199441 | + | 0.0220671i | ||||
\(859\) | 18.8257i | 0.642325i | 0.947024 | + | 0.321162i | \(0.104073\pi\) | ||||
−0.947024 | + | 0.321162i | \(0.895927\pi\) | |||||||
\(860\) | −26.9320 | + | 32.5928i | −0.918372 | + | 1.11141i | ||||
\(861\) | −51.5778 | −1.75777 | ||||||||
\(862\) | 7.33754 | + | 8.11861i | 0.249918 | + | 0.276521i | ||||
\(863\) | 14.2058i | 0.483573i | 0.970330 | + | 0.241786i | \(0.0777333\pi\) | ||||
−0.970330 | + | 0.241786i | \(0.922267\pi\) | |||||||
\(864\) | 24.8648 | − | 14.6671i | 0.845917 | − | 0.498986i | ||||
\(865\) | −39.1262 | − | 26.1745i | −1.33033 | − | 0.889961i | ||||
\(866\) | 22.6003 | + | 25.0061i | 0.767990 | + | 0.849741i | ||||
\(867\) | 32.7723i | 1.11300i | ||||||||
\(868\) | 0.920058 | − | 9.08007i | 0.0312288 | − | 0.308198i | ||||
\(869\) | 5.46009i | 0.185221i | ||||||||
\(870\) | −3.13840 | − | 21.4462i | −0.106402 | − | 0.727093i | ||||
\(871\) | − | 8.12862i | − | 0.275428i | ||||||
\(872\) | −29.1396 | − | 39.6380i | −0.986791 | − | 1.34231i | ||||
\(873\) | 1.00241 | 0.0339265 | ||||||||
\(874\) | 2.11022 | + | 0.522287i | 0.0713793 | + | 0.0176666i | ||||
\(875\) | −9.44056 | + | 47.0541i | −0.319149 | + | 1.59072i | ||||
\(876\) | 1.81027 | − | 17.8656i | 0.0611633 | − | 0.603621i | ||||
\(877\) | 52.5843 | 1.77565 | 0.887824 | − | 0.460184i | \(-0.152217\pi\) | ||||
0.887824 | + | 0.460184i | \(0.152217\pi\) | |||||||
\(878\) | 9.87831 | + | 10.9298i | 0.333377 | + | 0.368864i | ||||
\(879\) | − | 8.50527i | − | 0.286876i | ||||||
\(880\) | 2.39673 | − | 2.36735i | 0.0807938 | − | 0.0798034i | ||||
\(881\) | 7.17014 | 0.241568 | 0.120784 | − | 0.992679i | \(-0.461459\pi\) | ||||
0.120784 | + | 0.992679i | \(0.461459\pi\) | |||||||
\(882\) | 1.11490 | + | 1.23357i | 0.0375405 | + | 0.0415366i | ||||
\(883\) | 23.0586 | 0.775985 | 0.387992 | − | 0.921663i | \(-0.373169\pi\) | ||||
0.387992 | + | 0.921663i | \(0.373169\pi\) | |||||||
\(884\) | −11.0252 | − | 1.11715i | −0.370817 | − | 0.0375739i | ||||
\(885\) | −8.72968 | + | 13.0493i | −0.293445 | + | 0.438648i | ||||
\(886\) | −4.77569 | − | 5.28406i | −0.160443 | − | 0.177521i | ||||
\(887\) | − | 34.1642i | − | 1.14712i | −0.819163 | − | 0.573560i | \(-0.805562\pi\) | ||
0.819163 | − | 0.573560i | \(-0.194438\pi\) | |||||||
\(888\) | 28.3344 | + | 38.5428i | 0.950842 | + | 1.29341i | ||||
\(889\) | − | 17.9508i | − | 0.602052i | ||||||
\(890\) | 32.8275 | − | 4.80393i | 1.10038 | − | 0.161028i | ||||
\(891\) | 3.50205i | 0.117323i | ||||||||
\(892\) | −1.99711 | − | 0.202361i | −0.0668680 | − | 0.00677555i | ||||
\(893\) | 9.25771 | − | 6.24238i | 0.309798 | − | 0.208893i | ||||
\(894\) | −7.23671 | + | 6.54049i | −0.242032 | + | 0.218747i | ||||
\(895\) | −36.4250 | − | 24.3675i | −1.21755 | − | 0.814515i | ||||
\(896\) | 44.1035 | − | 20.3315i | 1.47340 | − | 0.679227i | ||||
\(897\) | − | 0.576834i | − | 0.0192599i | ||||||
\(898\) | −28.7225 | + | 25.9592i | −0.958482 | + | 0.866269i | ||||
\(899\) | − | 4.13649i | − | 0.137960i | ||||||
\(900\) | 0.985877 | − | 0.294858i | 0.0328626 | − | 0.00982859i | ||||
\(901\) | 19.0136i | 0.633436i | ||||||||
\(902\) | −2.43624 | − | 2.69557i | −0.0811178 | − | 0.0897526i | ||||
\(903\) | − | 71.4856i | − | 2.37889i | ||||||
\(904\) | −27.4930 | + | 20.2113i | −0.914403 | + | 0.672216i | ||||
\(905\) | −21.9002 | + | 32.7369i | −0.727988 | + | 1.08821i | ||||
\(906\) | −13.3587 | + | 12.0735i | −0.443814 | + | 0.401116i | ||||
\(907\) | − | 40.1696i | − | 1.33381i | −0.745142 | − | 0.666906i | \(-0.767618\pi\) | ||
0.745142 | − | 0.666906i | \(-0.232382\pi\) | |||||||
\(908\) | 13.4923 | + | 1.36714i | 0.447757 | + | 0.0453700i | ||||
\(909\) | 1.32066 | 0.0438035 | ||||||||
\(910\) | −1.82511 | − | 12.4719i | −0.0605019 | − | 0.413438i | ||||
\(911\) | 53.5926 | 1.77560 | 0.887802 | − | 0.460226i | \(-0.152232\pi\) | ||||
0.887802 | + | 0.460226i | \(0.152232\pi\) | |||||||
\(912\) | −11.7135 | − | 28.3915i | −0.387873 | − | 0.940136i | ||||
\(913\) | − | 1.31755i | − | 0.0436045i | ||||||
\(914\) | −9.29936 | + | 8.40470i | −0.307596 | + | 0.278003i | ||||
\(915\) | 7.05921 | − | 10.5523i | 0.233370 | − | 0.348847i | ||||
\(916\) | 3.73533 | − | 36.8640i | 0.123419 | − | 1.21802i | ||||
\(917\) | − | 4.18460i | − | 0.138188i | ||||||
\(918\) | −28.8753 | − | 31.9490i | −0.953026 | − | 1.05447i | ||||
\(919\) | 36.0060i | 1.18773i | 0.804566 | + | 0.593864i | \(0.202398\pi\) | ||||
−0.804566 | + | 0.593864i | \(0.797602\pi\) | |||||||
\(920\) | −2.22818 | + | 0.0988276i | −0.0734609 | + | 0.00325825i | ||||
\(921\) | 0.860384 | 0.0283506 | ||||||||
\(922\) | 6.36740 | + | 7.04519i | 0.209699 | + | 0.232021i | ||||
\(923\) | −9.39407 | −0.309210 | ||||||||
\(924\) | −0.574198 | + | 5.66677i | −0.0188897 | + | 0.186423i | ||||
\(925\) | −18.3226 | − | 44.3730i | −0.602444 | − | 1.45898i | ||||
\(926\) | 7.05314 | + | 7.80393i | 0.231781 | + | 0.256453i | ||||
\(927\) | − | 0.219188i | − | 0.00719908i | ||||||
\(928\) | 18.9585 | − | 11.1832i | 0.622343 | − | 0.367105i | ||||
\(929\) | 13.0488 | 0.428118 | 0.214059 | − | 0.976821i | \(-0.431331\pi\) | ||||
0.214059 | + | 0.976821i | \(0.431331\pi\) | |||||||
\(930\) | 5.85933 | − | 0.857446i | 0.192135 | − | 0.0281167i | ||||
\(931\) | −41.2931 | + | 27.8435i | −1.35333 | + | 0.912535i | ||||
\(932\) | 20.1228 | + | 2.03899i | 0.659143 | + | 0.0667892i | ||||
\(933\) | 4.56481 | 0.149445 | ||||||||
\(934\) | −29.4358 | − | 32.5692i | −0.963170 | − | 1.06570i | ||||
\(935\) | −4.17688 | − | 2.79424i | −0.136599 | − | 0.0913813i | ||||
\(936\) | −0.217756 | + | 0.160082i | −0.00711757 | + | 0.00523243i | ||||
\(937\) | 22.0684i | 0.720943i | 0.932770 | + | 0.360471i | \(0.117384\pi\) | ||||
−0.932770 | + | 0.360471i | \(0.882616\pi\) | |||||||
\(938\) | 39.4244 | − | 35.6315i | 1.28725 | − | 1.16341i | ||||
\(939\) | −16.6574 | −0.543593 | ||||||||
\(940\) | −7.29716 | + | 8.83096i | −0.238007 | + | 0.288034i | ||||
\(941\) | 32.6150i | 1.06322i | 0.846990 | + | 0.531609i | \(0.178413\pi\) | ||||
−0.846990 | + | 0.531609i | \(0.821587\pi\) | |||||||
\(942\) | −39.7485 | − | 43.9796i | −1.29508 | − | 1.43293i | ||||
\(943\) | 2.40554i | 0.0783353i | ||||||||
\(944\) | −15.6197 | − | 3.19825i | −0.508379 | − | 0.104094i | ||||
\(945\) | 27.2359 | − | 40.7128i | 0.885983 | − | 1.32439i | ||||
\(946\) | 3.73600 | − | 3.37657i | 0.121468 | − | 0.109782i | ||||
\(947\) | −51.3144 | −1.66749 | −0.833747 | − | 0.552147i | \(-0.813809\pi\) | ||||
−0.833747 | + | 0.552147i | \(0.813809\pi\) | |||||||
\(948\) | −50.8122 | − | 5.14866i | −1.65030 | − | 0.167221i | ||||
\(949\) | − | 4.73305i | − | 0.153641i | ||||||
\(950\) | 4.57457 | + | 30.4807i | 0.148419 | + | 0.988925i | ||||
\(951\) | 41.8407i | 1.35678i | ||||||||
\(952\) | −42.9102 | − | 58.3699i | −1.39073 | − | 1.89178i | ||||
\(953\) | −34.2291 | −1.10879 | −0.554394 | − | 0.832254i | \(-0.687050\pi\) | ||||
−0.554394 | + | 0.832254i | \(0.687050\pi\) | |||||||
\(954\) | 0.310930 | + | 0.344028i | 0.0100667 | + | 0.0111383i | ||||
\(955\) | −29.1240 | + | 43.5352i | −0.942431 | + | 1.40877i | ||||
\(956\) | −36.3513 | − | 3.68338i | −1.17568 | − | 0.119129i | ||||
\(957\) | 2.58153i | 0.0834492i | ||||||||
\(958\) | 22.0464 | − | 19.9254i | 0.712286 | − | 0.643760i | ||||
\(959\) | 15.1608i | 0.489569i | ||||||||
\(960\) | 19.7708 | + | 24.5366i | 0.638100 | + | 0.791915i | ||||
\(961\) | −29.8699 | −0.963544 | ||||||||
\(962\) | 8.45437 | + | 9.35432i | 0.272580 | + | 0.301595i | ||||
\(963\) | − | 1.68948i | − | 0.0544427i | ||||||
\(964\) | −26.0707 | − | 2.64167i | −0.839681 | − | 0.0850826i | ||||
\(965\) | 35.3952 | + | 23.6785i | 1.13941 | + | 0.762239i | ||||
\(966\) | 2.79769 | − | 2.52853i | 0.0900141 | − | 0.0813542i | ||||
\(967\) | 41.3727 | 1.33046 | 0.665229 | − | 0.746640i | \(-0.268334\pi\) | ||||
0.665229 | + | 0.746640i | \(0.268334\pi\) | |||||||
\(968\) | 24.7445 | − | 18.1907i | 0.795319 | − | 0.584673i | ||||
\(969\) | −37.9868 | + | 25.6141i | −1.22031 | + | 0.822844i | ||||
\(970\) | −4.46043 | − | 30.4803i | −0.143216 | − | 0.978662i | ||||
\(971\) | −30.6284 | −0.982914 | −0.491457 | − | 0.870902i | \(-0.663535\pi\) | ||||
−0.491457 | + | 0.870902i | \(0.663535\pi\) | |||||||
\(972\) | −2.12697 | − | 0.215520i | −0.0682225 | − | 0.00691279i | ||||
\(973\) | − | 30.9488i | − | 0.992174i | ||||||
\(974\) | 25.1287 | − | 22.7111i | 0.805174 | − | 0.727711i | ||||
\(975\) | 7.55941 | − | 3.12145i | 0.242095 | − | 0.0999664i | ||||
\(976\) | 12.6308 | + | 2.58625i | 0.404303 | + | 0.0827838i | ||||
\(977\) | 31.8746 | 1.01976 | 0.509879 | − | 0.860246i | \(-0.329690\pi\) | ||||
0.509879 | + | 0.860246i | \(0.329690\pi\) | |||||||
\(978\) | −28.6722 | + | 25.9138i | −0.916836 | + | 0.828631i | ||||
\(979\) | −3.95154 | −0.126292 | ||||||||
\(980\) | 32.5483 | − | 39.3896i | 1.03972 | − | 1.25826i | ||||
\(981\) | 1.78984i | 0.0571453i | ||||||||
\(982\) | 33.5681 | − | 30.3386i | 1.07120 | − | 0.968143i | ||||
\(983\) | 11.0853i | 0.353566i | 0.984250 | + | 0.176783i | \(0.0565690\pi\) | ||||
−0.984250 | + | 0.176783i | \(0.943431\pi\) | |||||||
\(984\) | 27.3826 | − | 20.1301i | 0.872924 | − | 0.641723i | ||||
\(985\) | −24.3195 | + | 36.3534i | −0.774885 | + | 1.15831i | ||||
\(986\) | −22.0164 | − | 24.3600i | −0.701144 | − | 0.775779i | ||||
\(987\) | − | 19.3689i | − | 0.616518i | ||||||
\(988\) | −3.82608 | − | 7.13395i | −0.121724 | − | 0.226961i | ||||
\(989\) | −3.33403 | −0.106016 | ||||||||
\(990\) | −0.121270 | + | 0.0177464i | −0.00385421 | + | 0.000564019i | ||||
\(991\) | 17.2353 | 0.547497 | 0.273749 | − | 0.961801i | \(-0.411736\pi\) | ||||
0.273749 | + | 0.961801i | \(0.411736\pi\) | |||||||
\(992\) | 3.05537 | + | 5.17968i | 0.0970080 | + | 0.164455i | ||||
\(993\) | 31.2473i | 0.991602i | ||||||||
\(994\) | −41.1785 | − | 45.5619i | −1.30610 | − | 1.44514i | ||||
\(995\) | 25.7857 | − | 38.5451i | 0.817463 | − | 1.22196i | ||||
\(996\) | 12.2612 | + | 1.24240i | 0.388513 | + | 0.0393669i | ||||
\(997\) | − | 11.4664i | − | 0.363145i | −0.983378 | − | 0.181572i | \(-0.941881\pi\) | ||
0.983378 | − | 0.181572i | \(-0.0581187\pi\) | |||||||
\(998\) | −31.2377 | + | 28.2324i | −0.988812 | + | 0.893682i | ||||
\(999\) | 48.9985i | 1.55024i |
(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 | 380.2.d.b.379.9 | ✓ | 40 | |
4.3 | odd | 2 | inner | 380.2.d.b.379.11 | yes | 40 | |
5.4 | even | 2 | inner | 380.2.d.b.379.32 | yes | 40 | |
19.18 | odd | 2 | inner | 380.2.d.b.379.31 | yes | 40 | |
20.19 | odd | 2 | inner | 380.2.d.b.379.30 | yes | 40 | |
76.75 | even | 2 | inner | 380.2.d.b.379.29 | yes | 40 | |
95.94 | odd | 2 | inner | 380.2.d.b.379.10 | yes | 40 | |
380.379 | even | 2 | inner | 380.2.d.b.379.12 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.d.b.379.9 | ✓ | 40 | 1.1 | even | 1 | trivial | |
380.2.d.b.379.10 | yes | 40 | 95.94 | odd | 2 | inner | |
380.2.d.b.379.11 | yes | 40 | 4.3 | odd | 2 | inner | |
380.2.d.b.379.12 | yes | 40 | 380.379 | even | 2 | inner | |
380.2.d.b.379.29 | yes | 40 | 76.75 | even | 2 | inner | |
380.2.d.b.379.30 | yes | 40 | 20.19 | odd | 2 | inner | |
380.2.d.b.379.31 | yes | 40 | 19.18 | odd | 2 | inner | |
380.2.d.b.379.32 | yes | 40 | 5.4 | even | 2 | inner |