Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [668,2,Mod(667,668)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(668, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("668.667");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 668 = 2^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 668.b (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: | \(5.33400685502\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 667.12 | ||
Character | \(\chi\) | \(=\) | 668.667 |
Dual form | 668.2.b.b.667.9 |
$q$-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 \(\left(\mathbb{Z}/668\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(335\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30799 | + | 0.537726i | −0.924892 | + | 0.380230i | ||||
\(3\) | 2.06566i | 1.19261i | 0.802758 | + | 0.596305i | \(0.203365\pi\) | ||||
−0.802758 | + | 0.596305i | \(0.796635\pi\) | |||||||
\(4\) | 1.42170 | − | 1.40669i | 0.710851 | − | 0.703343i | ||||
\(5\) | 1.78350i | 0.797605i | 0.917037 | + | 0.398803i | \(0.130574\pi\) | ||||
−0.917037 | + | 0.398803i | \(0.869426\pi\) | |||||||
\(6\) | −1.11076 | − | 2.70187i | −0.453466 | − | 1.10304i | ||||
\(7\) | 0.540270i | 0.204203i | 0.994774 | + | 0.102102i | \(0.0325567\pi\) | ||||
−0.994774 | + | 0.102102i | \(0.967443\pi\) | |||||||
\(8\) | −1.10317 | + | 2.60442i | −0.390029 | + | 0.920803i | ||||
\(9\) | −1.26695 | −0.422318 | ||||||||
\(10\) | −0.959034 | − | 2.33281i | −0.303273 | − | 0.737699i | ||||
\(11\) | − | 0.518196i | − | 0.156242i | −0.996944 | − | 0.0781210i | \(-0.975108\pi\) | ||
0.996944 | − | 0.0781210i | \(-0.0248921\pi\) | |||||||
\(12\) | 2.90574 | + | 2.93675i | 0.838813 | + | 0.847768i | ||||
\(13\) | 4.59318i | 1.27392i | 0.770897 | + | 0.636960i | \(0.219808\pi\) | ||||
−0.770897 | + | 0.636960i | \(0.780192\pi\) | |||||||
\(14\) | −0.290517 | − | 0.706671i | −0.0776440 | − | 0.188866i | ||||
\(15\) | −3.68410 | −0.951232 | ||||||||
\(16\) | 0.0424712 | − | 3.99977i | 0.0106178 | − | 0.999944i | ||||
\(17\) | − | 4.49305i | − | 1.08972i | −0.838526 | − | 0.544862i | \(-0.816582\pi\) | ||
0.838526 | − | 0.544862i | \(-0.183418\pi\) | |||||||
\(18\) | 1.65717 | − | 0.681274i | 0.390599 | − | 0.160578i | ||||
\(19\) | 7.50492i | 1.72175i | 0.508819 | + | 0.860874i | \(0.330082\pi\) | ||||
−0.508819 | + | 0.860874i | \(0.669918\pi\) | |||||||
\(20\) | 2.50882 | + | 2.53560i | 0.560990 | + | 0.566978i | ||||
\(21\) | −1.11602 | −0.243534 | ||||||||
\(22\) | 0.278648 | + | 0.677798i | 0.0594079 | + | 0.144507i | ||||
\(23\) | −8.08382 | −1.68559 | −0.842796 | − | 0.538233i | \(-0.819092\pi\) | ||||
−0.842796 | + | 0.538233i | \(0.819092\pi\) | |||||||
\(24\) | −5.37986 | − | 2.27877i | −1.09816 | − | 0.465152i | ||||
\(25\) | 1.81913 | 0.363826 | ||||||||
\(26\) | −2.46987 | − | 6.00786i | −0.484382 | − | 1.17824i | ||||
\(27\) | 3.57988i | 0.688949i | ||||||||
\(28\) | 0.759991 | + | 0.768103i | 0.143625 | + | 0.145158i | ||||
\(29\) | 2.47382 | 0.459376 | 0.229688 | − | 0.973264i | \(-0.426229\pi\) | ||||
0.229688 | + | 0.973264i | \(0.426229\pi\) | |||||||
\(30\) | 4.81879 | − | 1.98104i | 0.879787 | − | 0.361686i | ||||
\(31\) | − | 3.56761i | − | 0.640762i | −0.947289 | − | 0.320381i | \(-0.896189\pi\) | ||
0.947289 | − | 0.320381i | \(-0.103811\pi\) | |||||||
\(32\) | 2.09523 | + | 5.25452i | 0.370388 | + | 0.928877i | ||||
\(33\) | 1.07042 | 0.186336 | ||||||||
\(34\) | 2.41603 | + | 5.87688i | 0.414345 | + | 1.00788i | ||||
\(35\) | −0.963572 | −0.162873 | ||||||||
\(36\) | −1.80123 | + | 1.78221i | −0.300205 | + | 0.297034i | ||||
\(37\) | 8.52951i | 1.40224i | 0.713042 | + | 0.701121i | \(0.247317\pi\) | ||||
−0.713042 | + | 0.701121i | \(0.752683\pi\) | |||||||
\(38\) | −4.03559 | − | 9.81640i | −0.654659 | − | 1.59243i | ||||
\(39\) | −9.48796 | −1.51929 | ||||||||
\(40\) | −4.64499 | − | 1.96750i | −0.734437 | − | 0.311089i | ||||
\(41\) | − | 10.7353i | − | 1.67658i | −0.545227 | − | 0.838288i | \(-0.683557\pi\) | ||
0.545227 | − | 0.838288i | \(-0.316443\pi\) | |||||||
\(42\) | 1.45974 | − | 0.600110i | 0.225243 | − | 0.0925990i | ||||
\(43\) | −5.36699 | −0.818459 | −0.409229 | − | 0.912432i | \(-0.634202\pi\) | ||||
−0.409229 | + | 0.912432i | \(0.634202\pi\) | |||||||
\(44\) | −0.728939 | − | 0.736721i | −0.109892 | − | 0.111065i | ||||
\(45\) | − | 2.25961i | − | 0.336843i | ||||||
\(46\) | 10.5736 | − | 4.34688i | 1.55899 | − | 0.640912i | ||||
\(47\) | 3.27968i | 0.478390i | 0.970972 | + | 0.239195i | \(0.0768835\pi\) | ||||
−0.970972 | + | 0.239195i | \(0.923117\pi\) | |||||||
\(48\) | 8.26218 | + | 0.0877311i | 1.19254 | + | 0.0126629i | ||||
\(49\) | 6.70811 | 0.958301 | ||||||||
\(50\) | −2.37941 | + | 0.978194i | −0.336500 | + | 0.138337i | ||||
\(51\) | 9.28111 | 1.29962 | ||||||||
\(52\) | 6.46116 | + | 6.53014i | 0.896002 | + | 0.905567i | ||||
\(53\) | − | 9.17750i | − | 1.26063i | −0.776341 | − | 0.630314i | \(-0.782926\pi\) | ||
0.776341 | − | 0.630314i | \(-0.217074\pi\) | |||||||
\(54\) | −1.92500 | − | 4.68247i | −0.261959 | − | 0.637204i | ||||
\(55\) | 0.924203 | 0.124619 | ||||||||
\(56\) | −1.40709 | − | 0.596009i | −0.188031 | − | 0.0796450i | ||||
\(57\) | −15.5026 | −2.05337 | ||||||||
\(58\) | −3.23574 | + | 1.33024i | −0.424874 | + | 0.174669i | ||||
\(59\) | 6.36471 | 0.828615 | 0.414308 | − | 0.910137i | \(-0.364024\pi\) | ||||
0.414308 | + | 0.910137i | \(0.364024\pi\) | |||||||
\(60\) | −5.23770 | + | 5.18238i | −0.676184 | + | 0.669042i | ||||
\(61\) | −12.5812 | −1.61086 | −0.805428 | − | 0.592693i | \(-0.798065\pi\) | ||||
−0.805428 | + | 0.592693i | \(0.798065\pi\) | |||||||
\(62\) | 1.91840 | + | 4.66642i | 0.243637 | + | 0.592636i | ||||
\(63\) | − | 0.684498i | − | 0.0862386i | ||||||
\(64\) | −5.56604 | − | 5.74623i | −0.695755 | − | 0.718279i | ||||
\(65\) | −8.19194 | −1.01608 | ||||||||
\(66\) | −1.40010 | + | 0.575591i | −0.172341 | + | 0.0708504i | ||||
\(67\) | −14.5036 | −1.77189 | −0.885945 | − | 0.463790i | \(-0.846489\pi\) | ||||
−0.885945 | + | 0.463790i | \(0.846489\pi\) | |||||||
\(68\) | −6.32030 | − | 6.38777i | −0.766450 | − | 0.774631i | ||||
\(69\) | − | 16.6984i | − | 2.01025i | ||||||
\(70\) | 1.26035 | − | 0.518138i | 0.150640 | − | 0.0619293i | ||||
\(71\) | 3.96731 | 0.470833 | 0.235417 | − | 0.971895i | \(-0.424355\pi\) | ||||
0.235417 | + | 0.971895i | \(0.424355\pi\) | |||||||
\(72\) | 1.39766 | − | 3.29969i | 0.164716 | − | 0.388872i | ||||
\(73\) | − | 3.38016i | − | 0.395617i | −0.980241 | − | 0.197809i | \(-0.936618\pi\) | ||
0.980241 | − | 0.197809i | \(-0.0633825\pi\) | |||||||
\(74\) | −4.58654 | − | 11.1566i | −0.533174 | − | 1.29692i | ||||
\(75\) | 3.75771i | 0.433903i | ||||||||
\(76\) | 10.5571 | + | 10.6698i | 1.21098 | + | 1.22391i | ||||
\(77\) | 0.279966 | 0.0319051 | ||||||||
\(78\) | 12.4102 | − | 5.10192i | 1.40518 | − | 0.577679i | ||||
\(79\) | 9.68909 | 1.09011 | 0.545054 | − | 0.838401i | \(-0.316509\pi\) | ||||
0.545054 | + | 0.838401i | \(0.316509\pi\) | |||||||
\(80\) | 7.13359 | + | 0.0757474i | 0.797560 | + | 0.00846882i | ||||
\(81\) | −11.1957 | −1.24397 | ||||||||
\(82\) | 5.77267 | + | 14.0418i | 0.637484 | + | 1.55065i | ||||
\(83\) | −6.57031 | −0.721185 | −0.360593 | − | 0.932723i | \(-0.617426\pi\) | ||||
−0.360593 | + | 0.932723i | \(0.617426\pi\) | |||||||
\(84\) | −1.58664 | + | 1.56988i | −0.173117 | + | 0.171288i | ||||
\(85\) | 8.01335 | 0.869169 | ||||||||
\(86\) | 7.02000 | − | 2.88597i | 0.756986 | − | 0.311202i | ||||
\(87\) | 5.11007i | 0.547857i | ||||||||
\(88\) | 1.34960 | + | 0.571657i | 0.143868 | + | 0.0609389i | ||||
\(89\) | −9.71328 | −1.02961 | −0.514803 | − | 0.857309i | \(-0.672135\pi\) | ||||
−0.514803 | + | 0.857309i | \(0.672135\pi\) | |||||||
\(90\) | 1.21505 | + | 2.95556i | 0.128078 | + | 0.311543i | ||||
\(91\) | −2.48156 | −0.260138 | ||||||||
\(92\) | −11.4928 | + | 11.3714i | −1.19820 | + | 1.18555i | ||||
\(93\) | 7.36948 | 0.764179 | ||||||||
\(94\) | −1.76357 | − | 4.28980i | −0.181898 | − | 0.442459i | ||||
\(95\) | −13.3850 | −1.37327 | ||||||||
\(96\) | −10.8541 | + | 4.32803i | −1.10779 | + | 0.441728i | ||||
\(97\) | 15.8410 | 1.60841 | 0.804203 | − | 0.594354i | \(-0.202592\pi\) | ||||
0.804203 | + | 0.594354i | \(0.202592\pi\) | |||||||
\(98\) | −8.77417 | + | 3.60712i | −0.886325 | + | 0.364375i | ||||
\(99\) | 0.656531i | 0.0659838i | ||||||||
\(100\) | 2.58626 | − | 2.55895i | 0.258626 | − | 0.255895i | ||||
\(101\) | − | 5.83864i | − | 0.580966i | −0.956880 | − | 0.290483i | \(-0.906184\pi\) | ||
0.956880 | − | 0.290483i | \(-0.0938160\pi\) | |||||||
\(102\) | −12.1396 | + | 4.99069i | −1.20200 | + | 0.494152i | ||||
\(103\) | 4.34158 | 0.427788 | 0.213894 | − | 0.976857i | \(-0.431385\pi\) | ||||
0.213894 | + | 0.976857i | \(0.431385\pi\) | |||||||
\(104\) | −11.9626 | − | 5.06705i | −1.17303 | − | 0.496865i | ||||
\(105\) | − | 1.99041i | − | 0.194244i | ||||||
\(106\) | 4.93498 | + | 12.0041i | 0.479328 | + | 1.16594i | ||||
\(107\) | − | 2.50390i | − | 0.242062i | −0.992649 | − | 0.121031i | \(-0.961380\pi\) | ||
0.992649 | − | 0.121031i | \(-0.0386200\pi\) | |||||||
\(108\) | 5.03577 | + | 5.08953i | 0.484567 | + | 0.489740i | ||||
\(109\) | 9.09798i | 0.871429i | 0.900085 | + | 0.435714i | \(0.143504\pi\) | ||||
−0.900085 | + | 0.435714i | \(0.856496\pi\) | |||||||
\(110\) | −1.20885 | + | 0.496968i | −0.115260 | + | 0.0473840i | ||||
\(111\) | −17.6191 | −1.67233 | ||||||||
\(112\) | 2.16096 | + | 0.0229459i | 0.204191 | + | 0.00216819i | ||||
\(113\) | 15.7044i | 1.47735i | 0.674063 | + | 0.738674i | \(0.264548\pi\) | ||||
−0.674063 | + | 0.738674i | \(0.735452\pi\) | |||||||
\(114\) | 20.2774 | − | 8.33616i | 1.89915 | − | 0.780753i | ||||
\(115\) | − | 14.4175i | − | 1.34444i | ||||||
\(116\) | 3.51703 | − | 3.47988i | 0.326548 | − | 0.323099i | ||||
\(117\) | − | 5.81935i | − | 0.537999i | ||||||
\(118\) | −8.32501 | + | 3.42247i | −0.766380 | + | 0.315064i | ||||
\(119\) | 2.42746 | 0.222525 | ||||||||
\(120\) | 4.06418 | − | 9.59497i | 0.371007 | − | 0.875897i | ||||
\(121\) | 10.7315 | 0.975588 | ||||||||
\(122\) | 16.4561 | − | 6.76523i | 1.48987 | − | 0.612495i | ||||
\(123\) | 22.1755 | 1.99950 | ||||||||
\(124\) | −5.01851 | − | 5.07208i | −0.450676 | − | 0.455486i | ||||
\(125\) | 12.1619i | 1.08779i | ||||||||
\(126\) | 0.368072 | + | 0.895320i | 0.0327905 | + | 0.0797614i | ||||
\(127\) | 6.26428i | 0.555865i | 0.960601 | + | 0.277932i | \(0.0896491\pi\) | ||||
−0.960601 | + | 0.277932i | \(0.910351\pi\) | |||||||
\(128\) | 10.3703 | + | 4.52303i | 0.916610 | + | 0.399783i | ||||
\(129\) | − | 11.0864i | − | 0.976102i | ||||||
\(130\) | 10.7150 | − | 4.40502i | 0.939769 | − | 0.386346i | ||||
\(131\) | −0.822813 | −0.0718895 | −0.0359447 | − | 0.999354i | \(-0.511444\pi\) | ||||
−0.0359447 | + | 0.999354i | \(0.511444\pi\) | |||||||
\(132\) | 1.52181 | − | 1.50574i | 0.132457 | − | 0.131058i | ||||
\(133\) | −4.05469 | −0.351586 | ||||||||
\(134\) | 18.9706 | − | 7.79894i | 1.63881 | − | 0.673725i | ||||
\(135\) | −6.38472 | −0.549509 | ||||||||
\(136\) | 11.7018 | + | 4.95658i | 1.00342 | + | 0.425023i | ||||
\(137\) | 6.55510 | 0.560040 | 0.280020 | − | 0.959994i | \(-0.409659\pi\) | ||||
0.280020 | + | 0.959994i | \(0.409659\pi\) | |||||||
\(138\) | 8.97918 | + | 21.8415i | 0.764358 | + | 1.85927i | ||||
\(139\) | 6.87407 | 0.583051 | 0.291525 | − | 0.956563i | \(-0.405837\pi\) | ||||
0.291525 | + | 0.956563i | \(0.405837\pi\) | |||||||
\(140\) | −1.36991 | + | 1.35544i | −0.115779 | + | 0.114556i | ||||
\(141\) | −6.77470 | −0.570532 | ||||||||
\(142\) | −5.18922 | + | 2.13333i | −0.435470 | + | 0.179025i | ||||
\(143\) | 2.38017 | 0.199040 | ||||||||
\(144\) | −0.0538091 | + | 5.06753i | −0.00448409 | + | 0.422294i | ||||
\(145\) | 4.41205i | 0.366401i | ||||||||
\(146\) | 1.81760 | + | 4.42123i | 0.150425 | + | 0.365903i | ||||
\(147\) | 13.8567i | 1.14288i | ||||||||
\(148\) | 11.9983 | + | 12.1264i | 0.986257 | + | 0.996785i | ||||
\(149\) | 18.8252i | 1.54222i | 0.636702 | + | 0.771110i | \(0.280298\pi\) | ||||
−0.636702 | + | 0.771110i | \(0.719702\pi\) | |||||||
\(150\) | −2.02062 | − | 4.91506i | −0.164983 | − | 0.401313i | ||||
\(151\) | −6.55785 | −0.533670 | −0.266835 | − | 0.963742i | \(-0.585978\pi\) | ||||
−0.266835 | + | 0.963742i | \(0.585978\pi\) | |||||||
\(152\) | −19.5460 | − | 8.27919i | −1.58539 | − | 0.671531i | ||||
\(153\) | 5.69248i | 0.460210i | ||||||||
\(154\) | −0.366194 | + | 0.150545i | −0.0295088 | + | 0.0121313i | ||||
\(155\) | 6.36284 | 0.511075 | ||||||||
\(156\) | −13.4890 | + | 13.3466i | −1.07999 | + | 1.06858i | ||||
\(157\) | 10.3627 | 0.827033 | 0.413517 | − | 0.910497i | \(-0.364300\pi\) | ||||
0.413517 | + | 0.910497i | \(0.364300\pi\) | |||||||
\(158\) | −12.6733 | + | 5.21008i | −1.00823 | + | 0.414491i | ||||
\(159\) | 18.9576 | 1.50344 | ||||||||
\(160\) | −9.37144 | + | 3.73684i | −0.740877 | + | 0.295423i | ||||
\(161\) | − | 4.36745i | − | 0.344203i | ||||||
\(162\) | 14.6439 | − | 6.02021i | 1.15053 | − | 0.472993i | ||||
\(163\) | 15.3264 | 1.20045 | 0.600227 | − | 0.799830i | \(-0.295077\pi\) | ||||
0.600227 | + | 0.799830i | \(0.295077\pi\) | |||||||
\(164\) | −15.1012 | − | 15.2624i | −1.17921 | − | 1.19180i | ||||
\(165\) | 1.90909i | 0.148622i | ||||||||
\(166\) | 8.59393 | − | 3.53303i | 0.667019 | − | 0.274216i | ||||
\(167\) | 10.3001 | + | 7.80437i | 0.797045 | + | 0.603920i | ||||
\(168\) | 1.23115 | − | 2.90658i | 0.0949854 | − | 0.224247i | ||||
\(169\) | −8.09733 | −0.622871 | ||||||||
\(170\) | −10.4814 | + | 4.30898i | −0.803888 | + | 0.330484i | ||||
\(171\) | − | 9.50839i | − | 0.727125i | ||||||
\(172\) | −7.63026 | + | 7.54967i | −0.581802 | + | 0.575657i | ||||
\(173\) | 22.7705 | 1.73121 | 0.865605 | − | 0.500727i | \(-0.166934\pi\) | ||||
0.865605 | + | 0.500727i | \(0.166934\pi\) | |||||||
\(174\) | −2.74782 | − | 6.68394i | −0.208311 | − | 0.506708i | ||||
\(175\) | 0.982822i | 0.0742944i | ||||||||
\(176\) | −2.07267 | − | 0.0220084i | −0.156233 | − | 0.00165895i | ||||
\(177\) | 13.1473i | 0.988215i | ||||||||
\(178\) | 12.7049 | − | 5.22308i | 0.952274 | − | 0.391487i | ||||
\(179\) | − | 3.47751i | − | 0.259922i | −0.991519 | − | 0.129961i | \(-0.958515\pi\) | ||
0.991519 | − | 0.129961i | \(-0.0414851\pi\) | |||||||
\(180\) | −3.17856 | − | 3.21249i | −0.236916 | − | 0.239445i | ||||
\(181\) | −3.14064 | −0.233442 | −0.116721 | − | 0.993165i | \(-0.537238\pi\) | ||||
−0.116721 | + | 0.993165i | \(0.537238\pi\) | |||||||
\(182\) | 3.24587 | − | 1.33440i | 0.240600 | − | 0.0989123i | ||||
\(183\) | − | 25.9885i | − | 1.92112i | ||||||
\(184\) | 8.91780 | − | 21.0537i | 0.657429 | − | 1.55210i | ||||
\(185\) | −15.2124 | −1.11844 | ||||||||
\(186\) | −9.63924 | + | 3.96276i | −0.706784 | + | 0.290564i | ||||
\(187\) | −2.32828 | −0.170261 | ||||||||
\(188\) | 4.61347 | + | 4.66272i | 0.336472 | + | 0.340064i | ||||
\(189\) | −1.93411 | −0.140685 | ||||||||
\(190\) | 17.5075 | − | 7.19747i | 1.27013 | − | 0.522160i | ||||
\(191\) | 19.5557i | 1.41500i | 0.706712 | + | 0.707501i | \(0.250177\pi\) | ||||
−0.706712 | + | 0.707501i | \(0.749823\pi\) | |||||||
\(192\) | 11.8698 | − | 11.4976i | 0.856626 | − | 0.829765i | ||||
\(193\) | 16.7512i | 1.20578i | 0.797826 | + | 0.602888i | \(0.205983\pi\) | ||||
−0.797826 | + | 0.602888i | \(0.794017\pi\) | |||||||
\(194\) | −20.7199 | + | 8.51810i | −1.48760 | + | 0.611564i | ||||
\(195\) | − | 16.9218i | − | 1.21179i | ||||||
\(196\) | 9.53693 | − | 9.43620i | 0.681209 | − | 0.674014i | ||||
\(197\) | 11.4841i | 0.818211i | 0.912487 | + | 0.409106i | \(0.134159\pi\) | ||||
−0.912487 | + | 0.409106i | \(0.865841\pi\) | |||||||
\(198\) | −0.353034 | − | 0.858739i | −0.0250890 | − | 0.0610279i | ||||
\(199\) | 1.93300i | 0.137027i | 0.997650 | + | 0.0685133i | \(0.0218255\pi\) | ||||
−0.997650 | + | 0.0685133i | \(0.978174\pi\) | |||||||
\(200\) | −2.00681 | + | 4.73779i | −0.141903 | + | 0.335012i | ||||
\(201\) | − | 29.9594i | − | 2.11317i | ||||||
\(202\) | 3.13959 | + | 7.63691i | 0.220900 | + | 0.537331i | ||||
\(203\) | 1.33653i | 0.0938060i | ||||||||
\(204\) | 13.1950 | − | 13.0556i | 0.923833 | − | 0.914075i | ||||
\(205\) | 19.1465 | 1.33725 | ||||||||
\(206\) | −5.67876 | + | 2.33458i | −0.395658 | + | 0.162658i | ||||
\(207\) | 10.2418 | 0.711856 | ||||||||
\(208\) | 18.3717 | + | 0.195078i | 1.27385 | + | 0.0135262i | ||||
\(209\) | 3.88902 | 0.269009 | ||||||||
\(210\) | 1.07030 | + | 2.60345i | 0.0738575 | + | 0.179655i | ||||
\(211\) | − | 18.7643i | − | 1.29179i | −0.763428 | − | 0.645894i | \(-0.776485\pi\) | ||
0.763428 | − | 0.645894i | \(-0.223515\pi\) | |||||||
\(212\) | −12.9099 | − | 13.0477i | −0.886653 | − | 0.896118i | ||||
\(213\) | 8.19512i | 0.561520i | ||||||||
\(214\) | 1.34641 | + | 3.27509i | 0.0920390 | + | 0.223881i | ||||
\(215\) | − | 9.57202i | − | 0.652807i | ||||||
\(216\) | −9.32354 | − | 3.94921i | −0.634386 | − | 0.268710i | ||||
\(217\) | 1.92748 | 0.130846 | ||||||||
\(218\) | −4.89222 | − | 11.9001i | −0.331343 | − | 0.805978i | ||||
\(219\) | 6.98226 | 0.471817 | ||||||||
\(220\) | 1.31394 | − | 1.30006i | 0.0885859 | − | 0.0876502i | ||||
\(221\) | 20.6374 | 1.38822 | ||||||||
\(222\) | 23.0456 | − | 9.47423i | 1.54672 | − | 0.635869i | ||||
\(223\) | − | 24.5870i | − | 1.64647i | −0.567704 | − | 0.823233i | \(-0.692168\pi\) | ||
0.567704 | − | 0.823233i | \(-0.307832\pi\) | |||||||
\(224\) | −2.83886 | + | 1.13199i | −0.189680 | + | 0.0756343i | ||||
\(225\) | −2.30476 | −0.153650 | ||||||||
\(226\) | −8.44468 | − | 20.5413i | −0.561732 | − | 1.36639i | ||||
\(227\) | 10.6020 | 0.703681 | 0.351841 | − | 0.936060i | \(-0.385556\pi\) | ||||
0.351841 | + | 0.936060i | \(0.385556\pi\) | |||||||
\(228\) | −22.0401 | + | 21.8073i | −1.45964 | + | 1.44422i | ||||
\(229\) | −3.28643 | −0.217174 | −0.108587 | − | 0.994087i | \(-0.534633\pi\) | ||||
−0.108587 | + | 0.994087i | \(0.534633\pi\) | |||||||
\(230\) | 7.75265 | + | 18.8580i | 0.511195 | + | 1.24346i | ||||
\(231\) | 0.578315i | 0.0380503i | ||||||||
\(232\) | −2.72903 | + | 6.44287i | −0.179170 | + | 0.422995i | ||||
\(233\) | −10.5506 | −0.691191 | −0.345596 | − | 0.938384i | \(-0.612323\pi\) | ||||
−0.345596 | + | 0.938384i | \(0.612323\pi\) | |||||||
\(234\) | 3.12922 | + | 7.61168i | 0.204563 | + | 0.497591i | ||||
\(235\) | −5.84930 | −0.381566 | ||||||||
\(236\) | 9.04872 | − | 8.95315i | 0.589022 | − | 0.582801i | ||||
\(237\) | 20.0144i | 1.30007i | ||||||||
\(238\) | −3.17511 | + | 1.30531i | −0.205812 | + | 0.0846106i | ||||
\(239\) | 17.0884i | 1.10536i | 0.833394 | + | 0.552679i | \(0.186395\pi\) | ||||
−0.833394 | + | 0.552679i | \(0.813605\pi\) | |||||||
\(240\) | −0.156468 | + | 14.7356i | −0.0101000 | + | 0.951178i | ||||
\(241\) | 7.23561i | 0.466087i | 0.972466 | + | 0.233043i | \(0.0748684\pi\) | ||||
−0.972466 | + | 0.233043i | \(0.925132\pi\) | |||||||
\(242\) | −14.0367 | + | 5.77059i | −0.902314 | + | 0.370948i | ||||
\(243\) | − | 12.3868i | − | 0.794616i | ||||||
\(244\) | −17.8867 | + | 17.6978i | −1.14508 | + | 1.13298i | ||||
\(245\) | 11.9639i | 0.764346i | ||||||||
\(246\) | −29.0055 | + | 11.9244i | −1.84932 | + | 0.760270i | ||||
\(247\) | −34.4715 | −2.19337 | ||||||||
\(248\) | 9.29158 | + | 3.93567i | 0.590016 | + | 0.249916i | ||||
\(249\) | − | 13.5720i | − | 0.860093i | ||||||
\(250\) | −6.53978 | − | 15.9077i | −0.413612 | − | 1.00609i | ||||
\(251\) | − | 5.10600i | − | 0.322288i | −0.986931 | − | 0.161144i | \(-0.948482\pi\) | ||
0.986931 | − | 0.161144i | \(-0.0515184\pi\) | |||||||
\(252\) | −0.962873 | − | 0.973152i | −0.0606553 | − | 0.0613028i | ||||
\(253\) | 4.18900i | 0.263360i | ||||||||
\(254\) | −3.36847 | − | 8.19365i | −0.211356 | − | 0.514115i | ||||
\(255\) | 16.5529i | 1.03658i | ||||||||
\(256\) | −15.9964 | − | 0.339751i | −0.999775 | − | 0.0212344i | ||||
\(257\) | − | 11.5441i | − | 0.720102i | −0.932933 | − | 0.360051i | \(-0.882759\pi\) | ||
0.932933 | − | 0.360051i | \(-0.117241\pi\) | |||||||
\(258\) | 5.96144 | + | 14.5009i | 0.371143 | + | 0.902789i | ||||
\(259\) | −4.60824 | −0.286342 | ||||||||
\(260\) | −11.6465 | + | 11.5235i | −0.722285 | + | 0.714656i | ||||
\(261\) | −3.13421 | −0.194003 | ||||||||
\(262\) | 1.07623 | − | 0.442448i | 0.0664900 | − | 0.0273345i | ||||
\(263\) | 27.4874i | 1.69494i | 0.530840 | + | 0.847472i | \(0.321877\pi\) | ||||
−0.530840 | + | 0.847472i | \(0.678123\pi\) | |||||||
\(264\) | −1.18085 | + | 2.78782i | −0.0726763 | + | 0.171579i | ||||
\(265\) | 16.3681 | 1.00548 | ||||||||
\(266\) | 5.30351 | − | 2.18031i | 0.325179 | − | 0.133683i | ||||
\(267\) | − | 20.0643i | − | 1.22792i | ||||||
\(268\) | −20.6197 | + | 20.4019i | −1.25955 | + | 1.24625i | ||||
\(269\) | 7.39493i | 0.450877i | 0.974257 | + | 0.225439i | \(0.0723815\pi\) | ||||
−0.974257 | + | 0.225439i | \(0.927619\pi\) | |||||||
\(270\) | 8.35118 | − | 3.43323i | 0.508237 | − | 0.208940i | ||||
\(271\) | −5.97777 | −0.363124 | −0.181562 | − | 0.983380i | \(-0.558115\pi\) | ||||
−0.181562 | + | 0.983380i | \(0.558115\pi\) | |||||||
\(272\) | −17.9712 | − | 0.190825i | −1.08966 | − | 0.0115705i | ||||
\(273\) | − | 5.12606i | − | 0.310243i | ||||||
\(274\) | −8.57404 | + | 3.52485i | −0.517977 | + | 0.212944i | ||||
\(275\) | − | 0.942667i | − | 0.0568450i | ||||||
\(276\) | −23.4894 | − | 23.7402i | −1.41390 | − | 1.42899i | ||||
\(277\) | − | 5.16217i | − | 0.310165i | −0.987902 | − | 0.155082i | \(-0.950436\pi\) | ||
0.987902 | − | 0.155082i | \(-0.0495643\pi\) | |||||||
\(278\) | −8.99124 | + | 3.69636i | −0.539259 | + | 0.221693i | ||||
\(279\) | 4.52000i | 0.270605i | ||||||||
\(280\) | 1.06298 | − | 2.50955i | 0.0635253 | − | 0.149974i | ||||
\(281\) | 7.39152 | 0.440941 | 0.220470 | − | 0.975394i | \(-0.429241\pi\) | ||||
0.220470 | + | 0.975394i | \(0.429241\pi\) | |||||||
\(282\) | 8.86127 | − | 3.64293i | 0.527681 | − | 0.216933i | ||||
\(283\) | 0.300267i | 0.0178490i | 0.999960 | + | 0.00892451i | \(0.00284080\pi\) | ||||
−0.999960 | + | 0.00892451i | \(0.997159\pi\) | |||||||
\(284\) | 5.64033 | − | 5.58076i | 0.334692 | − | 0.331157i | ||||
\(285\) | − | 27.6489i | − | 1.63778i | ||||||
\(286\) | −3.11325 | + | 1.27988i | −0.184090 | + | 0.0756808i | ||||
\(287\) | 5.79998 | 0.342362 | ||||||||
\(288\) | −2.65456 | − | 6.65724i | −0.156421 | − | 0.392282i | ||||
\(289\) | −3.18747 | −0.187498 | ||||||||
\(290\) | −2.37247 | − | 5.77094i | −0.139317 | − | 0.338881i | ||||
\(291\) | 32.7221i | 1.91820i | ||||||||
\(292\) | −4.75482 | − | 4.80557i | −0.278255 | − | 0.281225i | ||||
\(293\) | −19.2052 | −1.12198 | −0.560991 | − | 0.827822i | \(-0.689580\pi\) | ||||
−0.560991 | + | 0.827822i | \(0.689580\pi\) | |||||||
\(294\) | −7.45109 | − | 18.1245i | −0.434557 | − | 1.05704i | ||||
\(295\) | 11.3515i | 0.660908i | ||||||||
\(296\) | −22.2144 | − | 9.40947i | −1.29119 | − | 0.546914i | ||||
\(297\) | 1.85508 | 0.107643 | ||||||||
\(298\) | −10.1228 | − | 24.6233i | −0.586398 | − | 1.42639i | ||||
\(299\) | − | 37.1305i | − | 2.14731i | ||||||
\(300\) | 5.28591 | + | 5.34234i | 0.305182 | + | 0.308440i | ||||
\(301\) | − | 2.89963i | − | 0.167132i | ||||||
\(302\) | 8.57763 | − | 3.52633i | 0.493587 | − | 0.202917i | ||||
\(303\) | 12.0606 | 0.692866 | ||||||||
\(304\) | 30.0180 | + | 0.318743i | 1.72165 | + | 0.0182812i | ||||
\(305\) | − | 22.4385i | − | 1.28483i | ||||||
\(306\) | −3.06100 | − | 7.44574i | −0.174986 | − | 0.425645i | ||||
\(307\) | 1.74301 | 0.0994789 | 0.0497394 | − | 0.998762i | \(-0.484161\pi\) | ||||
0.0497394 | + | 0.998762i | \(0.484161\pi\) | |||||||
\(308\) | 0.398028 | − | 0.393824i | 0.0226798 | − | 0.0224402i | ||||
\(309\) | 8.96822i | 0.510184i | ||||||||
\(310\) | −8.32256 | + | 3.42146i | −0.472690 | + | 0.194326i | ||||
\(311\) | − | 0.874002i | − | 0.0495601i | −0.999693 | − | 0.0247801i | \(-0.992111\pi\) | ||
0.999693 | − | 0.0247801i | \(-0.00788855\pi\) | |||||||
\(312\) | 10.4668 | − | 24.7107i | 0.592566 | − | 1.39897i | ||||
\(313\) | − | 10.2101i | − | 0.577110i | −0.957463 | − | 0.288555i | \(-0.906825\pi\) | ||
0.957463 | − | 0.288555i | \(-0.0931748\pi\) | |||||||
\(314\) | −13.5544 | + | 5.57229i | −0.764916 | + | 0.314463i | ||||
\(315\) | 1.22080 | 0.0687844 | ||||||||
\(316\) | 13.7750 | − | 13.6295i | 0.774904 | − | 0.766720i | ||||
\(317\) | −14.3483 | −0.805882 | −0.402941 | − | 0.915226i | \(-0.632012\pi\) | ||||
−0.402941 | + | 0.915226i | \(0.632012\pi\) | |||||||
\(318\) | −24.7965 | + | 10.1940i | −1.39052 | + | 0.571651i | ||||
\(319\) | − | 1.28192i | − | 0.0717739i | ||||||
\(320\) | 10.2484 | − | 9.92703i | 0.572903 | − | 0.554938i | ||||
\(321\) | 5.17222 | 0.288685 | ||||||||
\(322\) | 2.34849 | + | 5.71260i | 0.130876 | + | 0.318351i | ||||
\(323\) | 33.7200 | 1.87623 | ||||||||
\(324\) | −15.9169 | + | 15.7488i | −0.884274 | + | 0.874934i | ||||
\(325\) | 8.35560i | 0.463485i | ||||||||
\(326\) | −20.0468 | + | 8.24138i | −1.11029 | + | 0.456448i | ||||
\(327\) | −18.7933 | −1.03927 | ||||||||
\(328\) | 27.9593 | + | 11.8429i | 1.54380 | + | 0.653913i | ||||
\(329\) | −1.77191 | −0.0976886 | ||||||||
\(330\) | −1.02657 | − | 2.49708i | −0.0565106 | − | 0.137460i | ||||
\(331\) | 33.1302 | 1.82100 | 0.910499 | − | 0.413510i | \(-0.135697\pi\) | ||||
0.910499 | + | 0.413510i | \(0.135697\pi\) | |||||||
\(332\) | −9.34102 | + | 9.24236i | −0.512655 | + | 0.507240i | ||||
\(333\) | − | 10.8065i | − | 0.592192i | ||||||
\(334\) | −17.6691 | − | 4.66945i | −0.966809 | − | 0.255501i | ||||
\(335\) | − | 25.8671i | − | 1.41327i | ||||||
\(336\) | −0.0473985 | + | 4.46381i | −0.00258580 | + | 0.243521i | ||||
\(337\) | −12.9380 | −0.704780 | −0.352390 | − | 0.935853i | \(-0.614631\pi\) | ||||
−0.352390 | + | 0.935853i | \(0.614631\pi\) | |||||||
\(338\) | 10.5913 | − | 4.35414i | 0.576089 | − | 0.236834i | ||||
\(339\) | −32.4400 | −1.76190 | ||||||||
\(340\) | 11.3926 | − | 11.2723i | 0.617850 | − | 0.611324i | ||||
\(341\) | −1.84872 | −0.100114 | ||||||||
\(342\) | 5.11291 | + | 12.4369i | 0.276474 | + | 0.672512i | ||||
\(343\) | 7.40608i | 0.399891i | ||||||||
\(344\) | 5.92069 | − | 13.9779i | 0.319222 | − | 0.753639i | ||||
\(345\) | 29.7816 | 1.60339 | ||||||||
\(346\) | −29.7837 | + | 12.2443i | −1.60118 | + | 0.658258i | ||||
\(347\) | −15.1845 | −0.815145 | −0.407573 | − | 0.913173i | \(-0.633625\pi\) | ||||
−0.407573 | + | 0.913173i | \(0.633625\pi\) | |||||||
\(348\) | 7.18826 | + | 7.26499i | 0.385331 | + | 0.389444i | ||||
\(349\) | 33.3252i | 1.78386i | 0.452176 | + | 0.891929i | \(0.350648\pi\) | ||||
−0.452176 | + | 0.891929i | \(0.649352\pi\) | |||||||
\(350\) | −0.528489 | − | 1.28553i | −0.0282489 | − | 0.0687143i | ||||
\(351\) | −16.4431 | −0.877666 | ||||||||
\(352\) | 2.72287 | − | 1.08574i | 0.145130 | − | 0.0578702i | ||||
\(353\) | −2.39365 | −0.127401 | −0.0637005 | − | 0.997969i | \(-0.520290\pi\) | ||||
−0.0637005 | + | 0.997969i | \(0.520290\pi\) | |||||||
\(354\) | −7.06967 | − | 17.1967i | −0.375748 | − | 0.913992i | ||||
\(355\) | 7.07570i | 0.375539i | ||||||||
\(356\) | −13.8094 | + | 13.6635i | −0.731896 | + | 0.724166i | ||||
\(357\) | 5.01431i | 0.265385i | ||||||||
\(358\) | 1.86995 | + | 4.54857i | 0.0988299 | + | 0.240399i | ||||
\(359\) | − | 7.96139i | − | 0.420186i | −0.977681 | − | 0.210093i | \(-0.932623\pi\) | ||
0.977681 | − | 0.210093i | \(-0.0673767\pi\) | |||||||
\(360\) | 5.88499 | + | 2.49273i | 0.310166 | + | 0.131378i | ||||
\(361\) | −37.3239 | −1.96441 | ||||||||
\(362\) | 4.10794 | − | 1.68880i | 0.215909 | − | 0.0887616i | ||||
\(363\) | 22.1676i | 1.16350i | ||||||||
\(364\) | −3.52804 | + | 3.49078i | −0.184919 | + | 0.182966i | ||||
\(365\) | 6.02851 | 0.315546 | ||||||||
\(366\) | 13.9747 | + | 33.9928i | 0.730468 | + | 1.77683i | ||||
\(367\) | 13.5783i | 0.708779i | 0.935098 | + | 0.354390i | \(0.115311\pi\) | ||||
−0.935098 | + | 0.354390i | \(0.884689\pi\) | |||||||
\(368\) | −0.343330 | + | 32.3334i | −0.0178973 | + | 1.68550i | ||||
\(369\) | 13.6012i | 0.708049i | ||||||||
\(370\) | 19.8977 | − | 8.18008i | 1.03443 | − | 0.425262i | ||||
\(371\) | 4.95833 | 0.257424 | ||||||||
\(372\) | 10.4772 | − | 10.3665i | 0.543218 | − | 0.537480i | ||||
\(373\) | − | 21.6358i | − | 1.12026i | −0.828405 | − | 0.560129i | \(-0.810752\pi\) | ||
0.828405 | − | 0.560129i | \(-0.189248\pi\) | |||||||
\(374\) | 3.04538 | − | 1.25198i | 0.157473 | − | 0.0647382i | ||||
\(375\) | −25.1224 | −1.29731 | ||||||||
\(376\) | −8.54166 | − | 3.61803i | −0.440503 | − | 0.186586i | ||||
\(377\) | 11.3627i | 0.585209i | ||||||||
\(378\) | 2.52980 | − | 1.04002i | 0.130119 | − | 0.0534928i | ||||
\(379\) | 31.2090 | 1.60310 | 0.801550 | − | 0.597927i | \(-0.204009\pi\) | ||||
0.801550 | + | 0.597927i | \(0.204009\pi\) | |||||||
\(380\) | −19.0295 | + | 18.8285i | −0.976193 | + | 0.965883i | ||||
\(381\) | −12.9399 | −0.662930 | ||||||||
\(382\) | −10.5156 | − | 25.5788i | −0.538026 | − | 1.30872i | ||||
\(383\) | − | 31.0107i | − | 1.58457i | −0.610148 | − | 0.792287i | \(-0.708890\pi\) | ||
0.610148 | − | 0.792287i | \(-0.291110\pi\) | |||||||
\(384\) | −9.34305 | + | 21.4214i | −0.476786 | + | 1.09316i | ||||
\(385\) | 0.499319i | 0.0254477i | ||||||||
\(386\) | −9.00754 | − | 21.9105i | −0.458472 | − | 1.11521i | ||||
\(387\) | 6.79973 | 0.345650 | ||||||||
\(388\) | 22.5211 | − | 22.2833i | 1.14334 | − | 1.13126i | ||||
\(389\) | 1.35231i | 0.0685646i | 0.999412 | + | 0.0342823i | \(0.0109145\pi\) | ||||
−0.999412 | + | 0.0342823i | \(0.989085\pi\) | |||||||
\(390\) | 9.09927 | + | 22.1336i | 0.460759 | + | 1.12078i | ||||
\(391\) | 36.3210i | 1.83683i | ||||||||
\(392\) | −7.40017 | + | 17.4708i | −0.373765 | + | 0.882406i | ||||
\(393\) | − | 1.69965i | − | 0.0857361i | ||||||
\(394\) | −6.17532 | − | 15.0212i | −0.311108 | − | 0.756757i | ||||
\(395\) | 17.2805i | 0.869476i | ||||||||
\(396\) | 0.923533 | + | 0.933391i | 0.0464093 | + | 0.0469047i | ||||
\(397\) | 9.86238 | 0.494979 | 0.247489 | − | 0.968891i | \(-0.420394\pi\) | ||||
0.247489 | + | 0.968891i | \(0.420394\pi\) | |||||||
\(398\) | −1.03942 | − | 2.52835i | −0.0521015 | − | 0.126735i | ||||
\(399\) | − | 8.37561i | − | 0.419305i | ||||||
\(400\) | 0.0772607 | − | 7.27611i | 0.00386304 | − | 0.363806i | ||||
\(401\) | − | 1.50263i | − | 0.0750379i | −0.999296 | − | 0.0375189i | \(-0.988055\pi\) | ||
0.999296 | − | 0.0375189i | \(-0.0119455\pi\) | |||||||
\(402\) | 16.1100 | + | 39.1868i | 0.803491 | + | 1.95446i | ||||
\(403\) | 16.3867 | 0.816280 | ||||||||
\(404\) | −8.21312 | − | 8.30080i | −0.408618 | − | 0.412980i | ||||
\(405\) | − | 19.9675i | − | 0.992193i | ||||||
\(406\) | −0.718687 | − | 1.74818i | −0.0356678 | − | 0.0867605i | ||||
\(407\) | 4.41996 | 0.219089 | ||||||||
\(408\) | −10.2386 | + | 24.1719i | −0.506887 | + | 1.19669i | ||||
\(409\) | −20.9361 | −1.03523 | −0.517613 | − | 0.855615i | \(-0.673179\pi\) | ||||
−0.517613 | + | 0.855615i | \(0.673179\pi\) | |||||||
\(410\) | −25.0435 | + | 10.2955i | −1.23681 | + | 0.508461i | ||||
\(411\) | 13.5406i | 0.667910i | ||||||||
\(412\) | 6.17243 | − | 6.10723i | 0.304094 | − | 0.300882i | ||||
\(413\) | 3.43867i | 0.169206i | ||||||||
\(414\) | −13.3963 | + | 5.50730i | −0.658390 | + | 0.270669i | ||||
\(415\) | − | 11.7181i | − | 0.575221i | ||||||
\(416\) | −24.1350 | + | 9.62378i | −1.18331 | + | 0.471844i | ||||
\(417\) | 14.1995i | 0.695352i | ||||||||
\(418\) | −5.08682 | + | 2.09123i | −0.248805 | + | 0.102285i | ||||
\(419\) | − | 32.8545i | − | 1.60505i | −0.596620 | − | 0.802524i | \(-0.703490\pi\) | ||
0.596620 | − | 0.802524i | \(-0.296510\pi\) | |||||||
\(420\) | −2.79988 | − | 2.82977i | −0.136620 | − | 0.138079i | ||||
\(421\) | −12.8524 | −0.626387 | −0.313193 | − | 0.949689i | \(-0.601399\pi\) | ||||
−0.313193 | + | 0.949689i | \(0.601399\pi\) | |||||||
\(422\) | 10.0900 | + | 24.5436i | 0.491176 | + | 1.19476i | ||||
\(423\) | − | 4.15520i | − | 0.202033i | ||||||
\(424\) | 23.9021 | + | 10.1243i | 1.16079 | + | 0.491681i | ||||
\(425\) | − | 8.17344i | − | 0.396470i | ||||||
\(426\) | −4.40673 | − | 10.7192i | −0.213507 | − | 0.519346i | ||||
\(427\) | − | 6.79724i | − | 0.328942i | ||||||
\(428\) | −3.52221 | − | 3.55980i | −0.170252 | − | 0.172070i | ||||
\(429\) | 4.91662i | 0.237377i | ||||||||
\(430\) | 5.14713 | + | 12.5202i | 0.248216 | + | 0.603776i | ||||
\(431\) | 0.316808i | 0.0152601i | 0.999971 | + | 0.00763005i | \(0.00242874\pi\) | ||||
−0.999971 | + | 0.00763005i | \(0.997571\pi\) | |||||||
\(432\) | 14.3187 | + | 0.152042i | 0.688910 | + | 0.00731513i | ||||
\(433\) | 10.5211 | 0.505612 | 0.252806 | − | 0.967517i | \(-0.418647\pi\) | ||||
0.252806 | + | 0.967517i | \(0.418647\pi\) | |||||||
\(434\) | −2.52113 | + | 1.03645i | −0.121018 | + | 0.0497514i | ||||
\(435\) | −9.11380 | −0.436973 | ||||||||
\(436\) | 12.7980 | + | 12.9346i | 0.612913 | + | 0.619456i | ||||
\(437\) | − | 60.6684i | − | 2.90216i | ||||||
\(438\) | −9.13276 | + | 3.75454i | −0.436380 | + | 0.179399i | ||||
\(439\) | 1.49302 | 0.0712578 | 0.0356289 | − | 0.999365i | \(-0.488657\pi\) | ||||
0.0356289 | + | 0.999365i | \(0.488657\pi\) | |||||||
\(440\) | −1.01955 | + | 2.40702i | −0.0486051 | + | 0.114750i | ||||
\(441\) | −8.49886 | −0.404708 | ||||||||
\(442\) | −26.9936 | + | 11.0973i | −1.28395 | + | 0.527843i | ||||
\(443\) | 15.3224 | 0.727990 | 0.363995 | − | 0.931401i | \(-0.381412\pi\) | ||||
0.363995 | + | 0.931401i | \(0.381412\pi\) | |||||||
\(444\) | −25.0491 | + | 24.7845i | −1.18878 | + | 1.17622i | ||||
\(445\) | − | 17.3236i | − | 0.821219i | ||||||
\(446\) | 13.2211 | + | 32.1596i | 0.626035 | + | 1.52280i | ||||
\(447\) | −38.8865 | −1.83927 | ||||||||
\(448\) | 3.10452 | − | 3.00717i | 0.146675 | − | 0.142075i | ||||
\(449\) | 35.9267 | 1.69549 | 0.847744 | − | 0.530406i | \(-0.177961\pi\) | ||||
0.847744 | + | 0.530406i | \(0.177961\pi\) | |||||||
\(450\) | 3.01461 | − | 1.23933i | 0.142110 | − | 0.0584224i | ||||
\(451\) | −5.56301 | −0.261952 | ||||||||
\(452\) | 22.0912 | + | 22.3270i | 1.03908 | + | 1.05017i | ||||
\(453\) | − | 13.5463i | − | 0.636460i | ||||||
\(454\) | −13.8674 | + | 5.70098i | −0.650829 | + | 0.267560i | ||||
\(455\) | − | 4.42586i | − | 0.207488i | ||||||
\(456\) | 17.1020 | − | 40.3754i | 0.800874 | − | 1.89075i | ||||
\(457\) | − | 33.6351i | − | 1.57338i | −0.617345 | − | 0.786692i | \(-0.711792\pi\) | ||
0.617345 | − | 0.786692i | \(-0.288208\pi\) | |||||||
\(458\) | 4.29864 | − | 1.76720i | 0.200862 | − | 0.0825758i | ||||
\(459\) | 16.0846 | 0.750764 | ||||||||
\(460\) | −20.2809 | − | 20.4974i | −0.945600 | − | 0.955694i | ||||
\(461\) | 3.45927 | 0.161114 | 0.0805572 | − | 0.996750i | \(-0.474330\pi\) | ||||
0.0805572 | + | 0.996750i | \(0.474330\pi\) | |||||||
\(462\) | −0.310975 | − | 0.756433i | −0.0144679 | − | 0.0351925i | ||||
\(463\) | 32.0716 | 1.49050 | 0.745248 | − | 0.666787i | \(-0.232331\pi\) | ||||
0.745248 | + | 0.666787i | \(0.232331\pi\) | |||||||
\(464\) | 0.105066 | − | 9.89471i | 0.00487757 | − | 0.459351i | ||||
\(465\) | 13.1435i | 0.609513i | ||||||||
\(466\) | 13.8001 | − | 5.67332i | 0.639277 | − | 0.262811i | ||||
\(467\) | 7.44867i | 0.344683i | 0.985037 | + | 0.172342i | \(0.0551333\pi\) | ||||
−0.985037 | + | 0.172342i | \(0.944867\pi\) | |||||||
\(468\) | −8.18600 | − | 8.27338i | −0.378398 | − | 0.382437i | ||||
\(469\) | − | 7.83584i | − | 0.361825i | ||||||
\(470\) | 7.65085 | − | 3.14532i | 0.352908 | − | 0.145083i | ||||
\(471\) | 21.4058i | 0.986328i | ||||||||
\(472\) | −7.02134 | + | 16.5764i | −0.323184 | + | 0.762991i | ||||
\(473\) | 2.78116i | 0.127878i | ||||||||
\(474\) | −10.7623 | − | 26.1787i | −0.494327 | − | 1.20243i | ||||
\(475\) | 13.6524i | 0.626417i | ||||||||
\(476\) | 3.45112 | − | 3.41467i | 0.158182 | − | 0.156511i | ||||
\(477\) | 11.6275i | 0.532386i | ||||||||
\(478\) | −9.18889 | − | 22.3516i | −0.420290 | − | 1.02234i | ||||
\(479\) | 23.6642 | 1.08124 | 0.540622 | − | 0.841266i | \(-0.318189\pi\) | ||||
0.540622 | + | 0.841266i | \(0.318189\pi\) | |||||||
\(480\) | −7.71905 | − | 19.3582i | −0.352325 | − | 0.883577i | ||||
\(481\) | −39.1776 | −1.78634 | ||||||||
\(482\) | −3.89078 | − | 9.46414i | −0.177220 | − | 0.431080i | ||||
\(483\) | 9.02166 | 0.410500 | ||||||||
\(484\) | 15.2570 | − | 15.0958i | 0.693498 | − | 0.686173i | ||||
\(485\) | 28.2524i | 1.28287i | ||||||||
\(486\) | 6.66073 | + | 16.2019i | 0.302137 | + | 0.734934i | ||||
\(487\) | 13.8961 | 0.629691 | 0.314846 | − | 0.949143i | \(-0.398047\pi\) | ||||
0.314846 | + | 0.949143i | \(0.398047\pi\) | |||||||
\(488\) | 13.8792 | − | 32.7667i | 0.628280 | − | 1.48328i | ||||
\(489\) | 31.6591i | 1.43167i | ||||||||
\(490\) | −6.43330 | − | 15.6487i | −0.290627 | − | 0.706937i | ||||
\(491\) | − | 37.1343i | − | 1.67585i | −0.545789 | − | 0.837923i | \(-0.683770\pi\) | ||
0.545789 | − | 0.837923i | \(-0.316230\pi\) | |||||||
\(492\) | 31.5270 | − | 31.1940i | 1.42135 | − | 1.40634i | ||||
\(493\) | − | 11.1150i | − | 0.500594i | ||||||
\(494\) | 45.0885 | − | 18.5362i | 2.02863 | − | 0.833983i | ||||
\(495\) | −1.17092 | −0.0526290 | ||||||||
\(496\) | −14.2697 | − | 0.151521i | −0.640726 | − | 0.00680349i | ||||
\(497\) | 2.14342i | 0.0961456i | ||||||||
\(498\) | 7.29803 | + | 17.7522i | 0.327033 | + | 0.795493i | ||||
\(499\) | −7.40457 | −0.331474 | −0.165737 | − | 0.986170i | \(-0.553000\pi\) | ||||
−0.165737 | + | 0.986170i | \(0.553000\pi\) | |||||||
\(500\) | 17.1080 | + | 17.2906i | 0.765093 | + | 0.773260i | ||||
\(501\) | −16.1212 | + | 21.2765i | −0.720241 | + | 0.950564i | ||||
\(502\) | 2.74563 | + | 6.67862i | 0.122543 | + | 0.298082i | ||||
\(503\) | − | 12.1896i | − | 0.543506i | −0.962367 | − | 0.271753i | \(-0.912397\pi\) | ||
0.962367 | − | 0.271753i | \(-0.0876034\pi\) | |||||||
\(504\) | 1.78272 | + | 0.755116i | 0.0794088 | + | 0.0336355i | ||||
\(505\) | 10.4132 | 0.463381 | ||||||||
\(506\) | −2.25254 | − | 5.47920i | −0.100137 | − | 0.243580i | ||||
\(507\) | − | 16.7263i | − | 0.742842i | ||||||
\(508\) | 8.81187 | + | 8.90594i | 0.390964 | + | 0.395137i | ||||
\(509\) | −17.5006 | −0.775701 | −0.387850 | − | 0.921722i | \(-0.626782\pi\) | ||||
−0.387850 | + | 0.921722i | \(0.626782\pi\) | |||||||
\(510\) | −8.90090 | − | 21.6510i | −0.394138 | − | 0.958725i | ||||
\(511\) | 1.82620 | 0.0807863 | ||||||||
\(512\) | 21.1059 | − | 8.15728i | 0.932758 | − | 0.360504i | ||||
\(513\) | −26.8668 | −1.18620 | ||||||||
\(514\) | 6.20757 | + | 15.0996i | 0.273804 | + | 0.666017i | ||||
\(515\) | 7.74320i | 0.341206i | ||||||||
\(516\) | −15.5951 | − | 15.7615i | −0.686534 | − | 0.693863i | ||||
\(517\) | 1.69952 | 0.0747446 | ||||||||
\(518\) | 6.02755 | − | 2.47797i | 0.264836 | − | 0.108876i | ||||
\(519\) | 47.0362i | 2.06466i | ||||||||
\(520\) | 9.03708 | − | 21.3353i | 0.396302 | − | 0.935614i | ||||
\(521\) | 4.99086i | 0.218653i | 0.994006 | + | 0.109327i | \(0.0348695\pi\) | ||||
−0.994006 | + | 0.109327i | \(0.965131\pi\) | |||||||
\(522\) | 4.09954 | − | 1.68535i | 0.179432 | − | 0.0737657i | ||||
\(523\) | − | 2.24632i | − | 0.0982245i | −0.998793 | − | 0.0491123i | \(-0.984361\pi\) | ||
0.998793 | − | 0.0491123i | \(-0.0156392\pi\) | |||||||
\(524\) | −1.16979 | + | 1.15744i | −0.0511027 | + | 0.0505629i | ||||
\(525\) | −2.03018 | −0.0886042 | ||||||||
\(526\) | −14.7807 | − | 35.9534i | −0.644468 | − | 1.56764i | ||||
\(527\) | −16.0295 | −0.698254 | ||||||||
\(528\) | 0.0454620 | − | 4.28143i | 0.00197848 | − | 0.186325i | ||||
\(529\) | 42.3481 | 1.84122 | ||||||||
\(530\) | −21.4094 | + | 8.80154i | −0.929963 | + | 0.382314i | ||||
\(531\) | −8.06380 | −0.349939 | ||||||||
\(532\) | −5.76456 | + | 5.70367i | −0.249925 | + | 0.247285i | ||||
\(533\) | 49.3093 | 2.13582 | ||||||||
\(534\) | 10.7891 | + | 26.2441i | 0.466891 | + | 1.13569i | ||||
\(535\) | 4.46571 | 0.193069 | ||||||||
\(536\) | 15.9998 | − | 37.7734i | 0.691088 | − | 1.63156i | ||||
\(537\) | 7.18336 | 0.309985 | ||||||||
\(538\) | −3.97645 | − | 9.67254i | −0.171437 | − | 0.417013i | ||||
\(539\) | − | 3.47612i | − | 0.149727i | ||||||
\(540\) | −9.07717 | + | 8.98130i | −0.390619 | + | 0.386493i | ||||
\(541\) | − | 21.4088i | − | 0.920437i | −0.887806 | − | 0.460219i | \(-0.847771\pi\) | ||
0.887806 | − | 0.460219i | \(-0.152229\pi\) | |||||||
\(542\) | 7.81890 | − | 3.21440i | 0.335850 | − | 0.138070i | ||||
\(543\) | − | 6.48750i | − | 0.278405i | ||||||
\(544\) | 23.6088 | − | 9.41397i | 1.01222 | − | 0.403621i | ||||
\(545\) | −16.2262 | −0.695056 | ||||||||
\(546\) | 2.75642 | + | 6.70486i | 0.117964 | + | 0.286942i | ||||
\(547\) | 13.1954 | 0.564193 | 0.282096 | − | 0.959386i | \(-0.408970\pi\) | ||||
0.282096 | + | 0.959386i | \(0.408970\pi\) | |||||||
\(548\) | 9.31940 | − | 9.22097i | 0.398105 | − | 0.393900i | ||||
\(549\) | 15.9398 | 0.680294 | ||||||||
\(550\) | 0.506896 | + | 1.23300i | 0.0216141 | + | 0.0525754i | ||||
\(551\) | 18.5658i | 0.790930i | ||||||||
\(552\) | 43.4898 | + | 18.4212i | 1.85105 | + | 0.784056i | ||||
\(553\) | 5.23473i | 0.222603i | ||||||||
\(554\) | 2.77583 | + | 6.75209i | 0.117934 | + | 0.286869i | ||||
\(555\) | − | 31.4236i | − | 1.33386i | ||||||
\(556\) | 9.77287 | − | 9.66965i | 0.414462 | − | 0.410084i | ||||
\(557\) | −10.0693 | −0.426652 | −0.213326 | − | 0.976981i | \(-0.568430\pi\) | ||||
−0.213326 | + | 0.976981i | \(0.568430\pi\) | |||||||
\(558\) | −2.43052 | − | 5.91214i | −0.102892 | − | 0.250281i | ||||
\(559\) | − | 24.6516i | − | 1.04265i | ||||||
\(560\) | −0.0409241 | + | 3.85407i | −0.00172936 | + | 0.162864i | ||||
\(561\) | − | 4.80944i | − | 0.203055i | ||||||
\(562\) | −9.66807 | + | 3.97461i | −0.407823 | + | 0.167659i | ||||
\(563\) | − | 28.5277i | − | 1.20230i | −0.799136 | − | 0.601150i | \(-0.794709\pi\) | ||
0.799136 | − | 0.601150i | \(-0.205291\pi\) | |||||||
\(564\) | −9.63160 | + | 9.52987i | −0.405563 | + | 0.401280i | ||||
\(565\) | −28.0088 | −1.17834 | ||||||||
\(566\) | −0.161461 | − | 0.392748i | −0.00678673 | − | 0.0165084i | ||||
\(567\) | − | 6.04870i | − | 0.254021i | ||||||
\(568\) | −4.37661 | + | 10.3326i | −0.183638 | + | 0.433545i | ||||
\(569\) | 24.3518i | 1.02088i | 0.859913 | + | 0.510441i | \(0.170518\pi\) | ||||
−0.859913 | + | 0.510441i | \(0.829482\pi\) | |||||||
\(570\) | 14.8675 | + | 36.1646i | 0.622733 | + | 1.51477i | ||||
\(571\) | −45.4580 | −1.90236 | −0.951179 | − | 0.308640i | \(-0.900126\pi\) | ||||
−0.951179 | + | 0.308640i | \(0.900126\pi\) | |||||||
\(572\) | 3.38389 | − | 3.34815i | 0.141488 | − | 0.139993i | ||||
\(573\) | −40.3955 | −1.68754 | ||||||||
\(574\) | −7.58635 | + | 3.11880i | −0.316648 | + | 0.130176i | ||||
\(575\) | −14.7055 | −0.613263 | ||||||||
\(576\) | 7.05192 | + | 7.28021i | 0.293830 | + | 0.303342i | ||||
\(577\) | 29.7141 | 1.23702 | 0.618508 | − | 0.785779i | \(-0.287737\pi\) | ||||
0.618508 | + | 0.785779i | \(0.287737\pi\) | |||||||
\(578\) | 4.16920 | − | 1.71399i | 0.173416 | − | 0.0712925i | ||||
\(579\) | −34.6022 | −1.43802 | ||||||||
\(580\) | 6.20637 | + | 6.27262i | 0.257705 | + | 0.260456i | ||||
\(581\) | − | 3.54974i | − | 0.147268i | ||||||
\(582\) | −17.5955 | − | 42.8003i | −0.729357 | − | 1.77413i | ||||
\(583\) | −4.75575 | −0.196963 | ||||||||
\(584\) | 8.80336 | + | 3.72888i | 0.364286 | + | 0.154302i | ||||
\(585\) | 10.3788 | 0.429111 | ||||||||
\(586\) | 25.1204 | − | 10.3272i | 1.03771 | − | 0.426611i | ||||
\(587\) | 27.3517 | 1.12893 | 0.564463 | − | 0.825458i | \(-0.309083\pi\) | ||||
0.564463 | + | 0.825458i | \(0.309083\pi\) | |||||||
\(588\) | 19.4920 | + | 19.7001i | 0.803836 | + | 0.812417i | ||||
\(589\) | 26.7747 | 1.10323 | ||||||||
\(590\) | −6.10398 | − | 14.8477i | −0.251297 | − | 0.611268i | ||||
\(591\) | −23.7223 | −0.975807 | ||||||||
\(592\) | 34.1161 | + | 0.362259i | 1.40216 | + | 0.0148887i | ||||
\(593\) | 4.66771i | 0.191680i | 0.995397 | + | 0.0958399i | \(0.0305537\pi\) | ||||
−0.995397 | + | 0.0958399i | \(0.969446\pi\) | |||||||
\(594\) | −2.42644 | + | 0.997526i | −0.0995580 | + | 0.0409290i | ||||
\(595\) | 4.32937i | 0.177487i | ||||||||
\(596\) | 26.4811 | + | 26.7638i | 1.08471 | + | 1.09629i | ||||
\(597\) | −3.99292 | −0.163419 | ||||||||
\(598\) | 19.9660 | + | 48.5664i | 0.816471 | + | 1.98603i | ||||
\(599\) | − | 5.99780i | − | 0.245064i | −0.992465 | − | 0.122532i | \(-0.960899\pi\) | ||
0.992465 | − | 0.122532i | \(-0.0391013\pi\) | |||||||
\(600\) | −9.78666 | − | 4.14538i | −0.399539 | − | 0.169234i | ||||
\(601\) | 30.3224 | 1.23688 | 0.618438 | − | 0.785834i | \(-0.287766\pi\) | ||||
0.618438 | + | 0.785834i | \(0.287766\pi\) | |||||||
\(602\) | 1.55920 | + | 3.79270i | 0.0635484 | + | 0.154579i | ||||
\(603\) | 18.3753 | 0.748301 | ||||||||
\(604\) | −9.32330 | + | 9.22483i | −0.379360 | + | 0.375353i | ||||
\(605\) | 19.1396i | 0.778134i | ||||||||
\(606\) | −15.7753 | + | 6.48532i | −0.640826 | + | 0.263448i | ||||
\(607\) | 3.36426 | 0.136551 | 0.0682755 | − | 0.997667i | \(-0.478250\pi\) | ||||
0.0682755 | + | 0.997667i | \(0.478250\pi\) | |||||||
\(608\) | −39.4348 | + | 15.7245i | −1.59929 | + | 0.637714i | ||||
\(609\) | −2.76082 | −0.111874 | ||||||||
\(610\) | 12.0658 | + | 29.3495i | 0.488529 | + | 1.18833i | ||||
\(611\) | −15.0641 | −0.609430 | ||||||||
\(612\) | 8.00754 | + | 8.09301i | 0.323685 | + | 0.327141i | ||||
\(613\) | −27.9675 | −1.12960 | −0.564798 | − | 0.825229i | \(-0.691046\pi\) | ||||
−0.564798 | + | 0.825229i | \(0.691046\pi\) | |||||||
\(614\) | −2.27985 | + | 0.937262i | −0.0920072 | + | 0.0378248i | ||||
\(615\) | 39.5501i | 1.59481i | ||||||||
\(616\) | −0.308849 | + | 0.729150i | −0.0124439 | + | 0.0293783i | ||||
\(617\) | 11.3852 | 0.458352 | 0.229176 | − | 0.973385i | \(-0.426397\pi\) | ||||
0.229176 | + | 0.973385i | \(0.426397\pi\) | |||||||
\(618\) | −4.82245 | − | 11.7304i | −0.193987 | − | 0.471866i | ||||
\(619\) | 3.17429 | 0.127586 | 0.0637928 | − | 0.997963i | \(-0.479680\pi\) | ||||
0.0637928 | + | 0.997963i | \(0.479680\pi\) | |||||||
\(620\) | 9.04605 | − | 8.95051i | 0.363298 | − | 0.359461i | ||||
\(621\) | − | 28.9391i | − | 1.16129i | ||||||
\(622\) | 0.469974 | + | 1.14319i | 0.0188442 | + | 0.0458378i | ||||
\(623\) | − | 5.24780i | − | 0.210249i | ||||||
\(624\) | −0.402965 | + | 37.9497i | −0.0161315 | + | 1.51920i | ||||
\(625\) | −12.5951 | −0.503804 | ||||||||
\(626\) | 5.49025 | + | 13.3548i | 0.219434 | + | 0.533765i | ||||
\(627\) | 8.03340i | 0.320823i | ||||||||
\(628\) | 14.7327 | − | 14.5771i | 0.587897 | − | 0.581688i | ||||
\(629\) | 38.3235 | 1.52806 | ||||||||
\(630\) | −1.59680 | + | 0.656456i | −0.0636181 | + | 0.0261539i | ||||
\(631\) | 34.1130i | 1.35802i | 0.734130 | + | 0.679009i | \(0.237590\pi\) | ||||
−0.734130 | + | 0.679009i | \(0.762410\pi\) | |||||||
\(632\) | −10.6887 | + | 25.2345i | −0.425173 | + | 1.00377i | ||||
\(633\) | 38.7607 | 1.54060 | ||||||||
\(634\) | 18.7675 | − | 7.71547i | 0.745354 | − | 0.306420i | ||||
\(635\) | −11.1723 | −0.443361 | ||||||||
\(636\) | 26.9521 | − | 26.6674i | 1.06872 | − | 1.05743i | ||||
\(637\) | 30.8116i | 1.22080i | ||||||||
\(638\) | 0.689323 | + | 1.67675i | 0.0272906 | + | 0.0663831i | ||||
\(639\) | −5.02640 | −0.198841 | ||||||||
\(640\) | −8.06683 | + | 18.4953i | −0.318869 | + | 0.731092i | ||||
\(641\) | 32.5524i | 1.28574i | 0.765974 | + | 0.642871i | \(0.222257\pi\) | ||||
−0.765974 | + | 0.642871i | \(0.777743\pi\) | |||||||
\(642\) | −6.76523 | + | 2.78123i | −0.267002 | + | 0.109767i | ||||
\(643\) | −48.8264 | −1.92552 | −0.962762 | − | 0.270349i | \(-0.912861\pi\) | ||||
−0.962762 | + | 0.270349i | \(0.912861\pi\) | |||||||
\(644\) | −6.14363 | − | 6.20921i | −0.242093 | − | 0.244677i | ||||
\(645\) | 19.7726 | 0.778544 | ||||||||
\(646\) | −44.1056 | + | 18.1321i | −1.73531 | + | 0.713398i | ||||
\(647\) | 40.4496 | 1.59024 | 0.795120 | − | 0.606453i | \(-0.207408\pi\) | ||||
0.795120 | + | 0.606453i | \(0.207408\pi\) | |||||||
\(648\) | 12.3507 | − | 29.1583i | 0.485182 | − | 1.14545i | ||||
\(649\) | − | 3.29817i | − | 0.129465i | ||||||
\(650\) | −4.49302 | − | 10.9291i | −0.176231 | − | 0.428674i | ||||
\(651\) | 3.98151i | 0.156048i | ||||||||
\(652\) | 21.7895 | − | 21.5594i | 0.853343 | − | 0.844330i | ||||
\(653\) | −15.3926 | −0.602358 | −0.301179 | − | 0.953568i | \(-0.597380\pi\) | ||||
−0.301179 | + | 0.953568i | \(0.597380\pi\) | |||||||
\(654\) | 24.5816 | − | 10.1057i | 0.961217 | − | 0.395163i | ||||
\(655\) | − | 1.46749i | − | 0.0573394i | ||||||
\(656\) | −42.9389 | − | 0.455943i | −1.67648 | − | 0.0178016i | ||||
\(657\) | 4.28250i | 0.167076i | ||||||||
\(658\) | 2.31765 | − | 0.952803i | 0.0903515 | − | 0.0371441i | ||||
\(659\) | −27.8761 | −1.08590 | −0.542949 | − | 0.839765i | \(-0.682692\pi\) | ||||
−0.542949 | + | 0.839765i | \(0.682692\pi\) | |||||||
\(660\) | 2.68549 | + | 2.71416i | 0.104532 | + | 0.105648i | ||||
\(661\) | − | 15.8624i | − | 0.616975i | −0.951228 | − | 0.308488i | \(-0.900177\pi\) | ||
0.951228 | − | 0.308488i | \(-0.0998228\pi\) | |||||||
\(662\) | −43.3341 | + | 17.8150i | −1.68423 | + | 0.692398i | ||||
\(663\) | 42.6298i | 1.65561i | ||||||||
\(664\) | 7.24815 | − | 17.1119i | 0.281283 | − | 0.664069i | ||||
\(665\) | − | 7.23153i | − | 0.280427i | ||||||
\(666\) | 5.81093 | + | 14.1348i | 0.225169 | + | 0.547714i | ||||
\(667\) | −19.9979 | −0.774322 | ||||||||
\(668\) | 25.6219 | − | 3.39351i | 0.991343 | − | 0.131299i | ||||
\(669\) | 50.7884 | 1.96359 | ||||||||
\(670\) | 13.9094 | + | 33.8340i | 0.537367 | + | 1.30712i | ||||
\(671\) | 6.51953i | 0.251684i | ||||||||
\(672\) | −2.33831 | − | 5.86413i | −0.0902022 | − | 0.226214i | ||||
\(673\) | 32.9504i | 1.27014i | 0.772453 | + | 0.635072i | \(0.219030\pi\) | ||||
−0.772453 | + | 0.635072i | \(0.780970\pi\) | |||||||
\(674\) | 16.9229 | − | 6.95712i | 0.651846 | − | 0.267978i | ||||
\(675\) | 6.51228i | 0.250658i | ||||||||
\(676\) | −11.5120 | + | 11.3904i | −0.442769 | + | 0.438092i | ||||
\(677\) | −25.6134 | −0.984403 | −0.492201 | − | 0.870481i | \(-0.663808\pi\) | ||||
−0.492201 | + | 0.870481i | \(0.663808\pi\) | |||||||
\(678\) | 42.4314 | − | 17.4438i | 1.62957 | − | 0.669927i | ||||
\(679\) | 8.55841i | 0.328442i | ||||||||
\(680\) | −8.84006 | + | 20.8701i | −0.339001 | + | 0.800334i | ||||
\(681\) | 21.9002i | 0.839217i | ||||||||
\(682\) | 2.41812 | − | 0.994107i | 0.0925947 | − | 0.0380663i | ||||
\(683\) | 28.8668 | 1.10456 | 0.552279 | − | 0.833659i | \(-0.313758\pi\) | ||||
0.552279 | + | 0.833659i | \(0.313758\pi\) | |||||||
\(684\) | −13.3753 | − | 13.5181i | −0.511418 | − | 0.516877i | ||||
\(685\) | 11.6910i | 0.446691i | ||||||||
\(686\) | −3.98244 | − | 9.68712i | −0.152050 | − | 0.369856i | ||||
\(687\) | − | 6.78865i | − | 0.259003i | ||||||
\(688\) | −0.227943 | + | 21.4668i | −0.00869023 | + | 0.818412i | ||||
\(689\) | 42.1540 | 1.60594 | ||||||||
\(690\) | −38.9542 | + | 16.0144i | −1.48296 | + | 0.609656i | ||||
\(691\) | 25.9720 | 0.988022 | 0.494011 | − | 0.869456i | \(-0.335530\pi\) | ||||
0.494011 | + | 0.869456i | \(0.335530\pi\) | |||||||
\(692\) | 32.3729 | − | 32.0310i | 1.23063 | − | 1.21763i | ||||
\(693\) | −0.354704 | −0.0134741 | ||||||||
\(694\) | 19.8612 | − | 8.16508i | 0.753921 | − | 0.309942i | ||||
\(695\) | 12.2599i | 0.465044i | ||||||||
\(696\) | −13.3088 | − | 5.63726i | −0.504468 | − | 0.213680i | ||||
\(697\) | −48.2343 | −1.82701 | ||||||||
\(698\) | −17.9198 | − | 43.5892i | −0.678275 | − | 1.64988i | ||||
\(699\) | − | 21.7939i | − | 0.824321i | ||||||
\(700\) | 1.38252 | + | 1.39728i | 0.0522544 | + | 0.0528122i | ||||
\(701\) | −7.67525 | −0.289890 | −0.144945 | − | 0.989440i | \(-0.546301\pi\) | ||||
−0.144945 | + | 0.989440i | \(0.546301\pi\) | |||||||
\(702\) | 21.5074 | − | 8.84186i | 0.811746 | − | 0.333715i | ||||
\(703\) | −64.0133 | −2.41431 | ||||||||
\(704\) | −2.97768 | + | 2.88430i | −0.112225 | + | 0.108706i | ||||
\(705\) | − | 12.0827i | − | 0.455060i | ||||||
\(706\) | 3.13088 | − | 1.28713i | 0.117832 | − | 0.0484416i | ||||
\(707\) | 3.15444 | 0.118635 | ||||||||
\(708\) | 18.4942 | + | 18.6916i | 0.695054 | + | 0.702473i | ||||
\(709\) | 23.7497i | 0.891940i | 0.895048 | + | 0.445970i | \(0.147141\pi\) | ||||
−0.895048 | + | 0.445970i | \(0.852859\pi\) | |||||||
\(710\) | −3.80479 | − | 9.25498i | −0.142791 | − | 0.347333i | ||||
\(711\) | −12.2756 | −0.460372 | ||||||||
\(712\) | 10.7154 | − | 25.2975i | 0.401576 | − | 0.948064i | ||||
\(713\) | 28.8399i | 1.08006i | ||||||||
\(714\) | −2.69632 | − | 6.55869i | −0.100907 | − | 0.245453i | ||||
\(715\) | 4.24503i | 0.158755i | ||||||||
\(716\) | −4.89177 | − | 4.94399i | −0.182814 | − | 0.184765i | ||||
\(717\) | −35.2989 | −1.31826 | ||||||||
\(718\) | 4.28105 | + | 10.4135i | 0.159767 | + | 0.388627i | ||||
\(719\) | −9.19104 | −0.342768 | −0.171384 | − | 0.985204i | \(-0.554824\pi\) | ||||
−0.171384 | + | 0.985204i | \(0.554824\pi\) | |||||||
\(720\) | −9.03794 | − | 0.0959685i | −0.336824 | − | 0.00357653i | ||||
\(721\) | 2.34563i | 0.0873556i | ||||||||
\(722\) | 48.8194 | − | 20.0700i | 1.81687 | − | 0.746928i | ||||
\(723\) | −14.9463 | −0.555860 | ||||||||
\(724\) | −4.46506 | + | 4.41790i | −0.165942 | + | 0.164190i | ||||
\(725\) | 4.50020 | 0.167133 | ||||||||
\(726\) | −11.9201 | − | 28.9951i | −0.442396 | − | 1.07611i | ||||
\(727\) | 10.8951 | 0.404078 | 0.202039 | − | 0.979377i | \(-0.435243\pi\) | ||||
0.202039 | + | 0.979377i | \(0.435243\pi\) | |||||||
\(728\) | 2.73758 | − | 6.46303i | 0.101461 | − | 0.239536i | ||||
\(729\) | −8.00006 | −0.296298 | ||||||||
\(730\) | −7.88526 | + | 3.24168i | −0.291846 | + | 0.119980i | ||||
\(731\) | 24.1141i | 0.891894i | ||||||||
\(732\) | −36.5576 | − | 36.9479i | −1.35121 | − | 1.36563i | ||||
\(733\) | −11.2934 | −0.417132 | −0.208566 | − | 0.978008i | \(-0.566880\pi\) | ||||
−0.208566 | + | 0.978008i | \(0.566880\pi\) | |||||||
\(734\) | −7.30138 | − | 17.7603i | −0.269499 | − | 0.655544i | ||||
\(735\) | −24.7134 | −0.911566 | ||||||||
\(736\) | −16.9375 | − | 42.4766i | −0.624323 | − | 1.56571i | ||||
\(737\) | 7.51569i | 0.276844i | ||||||||
\(738\) | −7.31370 | − | 17.7903i | −0.269221 | − | 0.654869i | ||||
\(739\) | −20.9399 | −0.770288 | −0.385144 | − | 0.922856i | \(-0.625848\pi\) | ||||
−0.385144 | + | 0.922856i | \(0.625848\pi\) | |||||||
\(740\) | −21.6274 | + | 21.3990i | −0.795041 | + | 0.786643i | ||||
\(741\) | − | 71.2064i | − | 2.61583i | ||||||
\(742\) | −6.48548 | + | 2.66622i | −0.238089 | + | 0.0978802i | ||||
\(743\) | 13.2550i | 0.486281i | 0.969991 | + | 0.243140i | \(0.0781775\pi\) | ||||
−0.969991 | + | 0.243140i | \(0.921822\pi\) | |||||||
\(744\) | −8.12977 | + | 19.1932i | −0.298052 | + | 0.703659i | ||||
\(745\) | −33.5747 | −1.23008 | ||||||||
\(746\) | 11.6341 | + | 28.2995i | 0.425955 | + | 1.03612i | ||||
\(747\) | 8.32428 | 0.304570 | ||||||||
\(748\) | −3.31012 | + | 3.27516i | −0.121030 | + | 0.119752i | ||||
\(749\) | 1.35278 | 0.0494297 | ||||||||
\(750\) | 32.8600 | − | 13.5090i | 1.19988 | − | 0.493277i | ||||
\(751\) | 11.2524 | 0.410607 | 0.205304 | − | 0.978698i | \(-0.434182\pi\) | ||||
0.205304 | + | 0.978698i | \(0.434182\pi\) | |||||||
\(752\) | 13.1180 | + | 0.139292i | 0.478363 | + | 0.00507945i | ||||
\(753\) | 10.5473 | 0.384364 | ||||||||
\(754\) | −6.11002 | − | 14.8624i | −0.222514 | − | 0.541255i | ||||
\(755\) | − | 11.6959i | − | 0.425658i | ||||||
\(756\) | −2.74972 | + | 2.72068i | −0.100006 | + | 0.0989501i | ||||
\(757\) | 22.1035 | 0.803365 | 0.401682 | − | 0.915779i | \(-0.368426\pi\) | ||||
0.401682 | + | 0.915779i | \(0.368426\pi\) | |||||||
\(758\) | −40.8213 | + | 16.7819i | −1.48270 | + | 0.609546i | ||||
\(759\) | −8.65306 | −0.314086 | ||||||||
\(760\) | 14.7659 | − | 34.8603i | 0.535616 | − | 1.26451i | ||||
\(761\) | 15.1012 | 0.547416 | 0.273708 | − | 0.961813i | \(-0.411750\pi\) | ||||
0.273708 | + | 0.961813i | \(0.411750\pi\) | |||||||
\(762\) | 16.9253 | − | 6.95811i | 0.613139 | − | 0.252066i | ||||
\(763\) | −4.91537 | −0.177948 | ||||||||
\(764\) | 27.5087 | + | 27.8024i | 0.995231 | + | 1.00586i | ||||
\(765\) | −10.1525 | −0.367066 | ||||||||
\(766\) | 16.6753 | + | 40.5619i | 0.602502 | + | 1.46556i | ||||
\(767\) | 29.2343i | 1.05559i | ||||||||
\(768\) | 0.701810 | − | 33.0431i | 0.0253244 | − | 1.19234i | ||||
\(769\) | 1.26472i | 0.0456069i | 0.999740 | + | 0.0228034i | \(0.00725919\pi\) | ||||
−0.999740 | + | 0.0228034i | \(0.992741\pi\) | |||||||
\(770\) | −0.268497 | − | 0.653107i | −0.00967596 | − | 0.0235363i | ||||
\(771\) | 23.8462 | 0.858801 | ||||||||
\(772\) | 23.5636 | + | 23.8152i | 0.848074 | + | 0.857127i | ||||
\(773\) | 10.4883i | 0.377237i | 0.982050 | + | 0.188619i | \(0.0604010\pi\) | ||||
−0.982050 | + | 0.188619i | \(0.939599\pi\) | |||||||
\(774\) | −8.89401 | + | 3.65639i | −0.319689 | + | 0.131426i | ||||
\(775\) | − | 6.48996i | − | 0.233126i | ||||||
\(776\) | −17.4752 | + | 41.2566i | −0.627325 | + | 1.48103i | ||||
\(777\) | − | 9.51906i | − | 0.341494i | ||||||
\(778\) | −0.727170 | − | 1.76881i | −0.0260703 | − | 0.0634149i | ||||
\(779\) | 80.5678 | 2.88664 | ||||||||
\(780\) | −23.8036 | − | 24.0577i | −0.852306 | − | 0.861404i | ||||
\(781\) | − | 2.05585i | − | 0.0735640i | ||||||
\(782\) | −19.5307 | − | 47.5077i | −0.698417 | − | 1.69887i | ||||
\(783\) | 8.85598i | 0.316487i | ||||||||
\(784\) | 0.284902 | − | 26.8309i | 0.0101751 | − | 0.958247i | ||||
\(785\) | 18.4819i | 0.659646i | ||||||||
\(786\) | 0.913947 | + | 2.22314i | 0.0325994 | + | 0.0792966i | ||||
\(787\) | 9.95211 | 0.354754 | 0.177377 | − | 0.984143i | \(-0.443239\pi\) | ||||
0.177377 | + | 0.984143i | \(0.443239\pi\) | |||||||
\(788\) | 16.1546 | + | 16.3270i | 0.575483 | + | 0.581626i | ||||
\(789\) | −56.7796 | −2.02141 | ||||||||
\(790\) | −9.29217 | − | 22.6028i | −0.330601 | − | 0.804171i | ||||
\(791\) | −8.48464 | −0.301679 | ||||||||
\(792\) | −1.70988 | − | 0.724263i | −0.0607581 | − | 0.0257356i | ||||
\(793\) | − | 57.7877i | − | 2.05210i | ||||||
\(794\) | −12.8999 | + | 5.30326i | −0.457802 | + | 0.188206i | ||||
\(795\) | 33.8109i | 1.19915i | ||||||||
\(796\) | 2.71912 | + | 2.74814i | 0.0963766 | + | 0.0974054i | ||||
\(797\) | 35.5770i | 1.26020i | 0.776514 | + | 0.630100i | \(0.216986\pi\) | ||||
−0.776514 | + | 0.630100i | \(0.783014\pi\) | |||||||
\(798\) | 4.50378 | + | 10.9553i | 0.159432 | + | 0.387812i | ||||
\(799\) | 14.7357 | 0.521313 | ||||||||
\(800\) | 3.81150 | + | 9.55866i | 0.134757 | + | 0.337950i | ||||
\(801\) | 12.3063 | 0.434821 | ||||||||
\(802\) | 0.808004 | + | 1.96544i | 0.0285316 | + | 0.0694019i | ||||
\(803\) | −1.75158 | −0.0618121 | ||||||||
\(804\) | −42.1435 | − | 42.5933i | −1.48629 | − | 1.50215i | ||||
\(805\) | 7.78934 | 0.274538 | ||||||||
\(806\) | −21.4337 | + | 8.81155i | −0.754971 | + | 0.310374i | ||||
\(807\) | −15.2754 | −0.537720 | ||||||||
\(808\) | 15.2063 | + | 6.44099i | 0.534955 | + | 0.226593i | ||||
\(809\) | −18.5473 | −0.652087 | −0.326043 | − | 0.945355i | \(-0.605716\pi\) | ||||
−0.326043 | + | 0.945355i | \(0.605716\pi\) | |||||||
\(810\) | 10.7370 | + | 26.1174i | 0.377261 | + | 0.917672i | ||||
\(811\) | 9.80190 | 0.344191 | 0.172096 | − | 0.985080i | \(-0.444946\pi\) | ||||
0.172096 | + | 0.985080i | \(0.444946\pi\) | |||||||
\(812\) | 1.88008 | + | 1.90015i | 0.0659778 | + | 0.0666821i | ||||
\(813\) | − | 12.3481i | − | 0.433065i | ||||||
\(814\) | −5.78128 | + | 2.37673i | −0.202634 | + | 0.0833042i | ||||
\(815\) | 27.3346i | 0.957488i | ||||||||
\(816\) | 0.394180 | − | 37.1224i | 0.0137991 | − | 1.29954i | ||||
\(817\) | − | 40.2789i | − | 1.40918i | ||||||
\(818\) | 27.3844 | − | 11.2579i | 0.957472 | − | 0.393623i | ||||
\(819\) | 3.14402 | 0.109861 | ||||||||
\(820\) | 27.2205 | − | 26.9330i | 0.950583 | − | 0.940543i | ||||
\(821\) | − | 40.0684i | − | 1.39840i | −0.714928 | − | 0.699198i | \(-0.753541\pi\) | ||
0.714928 | − | 0.699198i | \(-0.246459\pi\) | |||||||
\(822\) | −7.28114 | − | 17.7111i | −0.253959 | − | 0.617744i | ||||
\(823\) | −31.7996 | −1.10846 | −0.554232 | − | 0.832362i | \(-0.686988\pi\) | ||||
−0.554232 | + | 0.832362i | \(0.686988\pi\) | |||||||
\(824\) | −4.78949 | + | 11.3073i | −0.166850 | + | 0.393909i | ||||
\(825\) | 1.94723 | 0.0677938 | ||||||||
\(826\) | −1.84906 | − | 4.49776i | −0.0643370 | − | 0.156497i | ||||
\(827\) | −30.3420 | −1.05509 | −0.527547 | − | 0.849526i | \(-0.676888\pi\) | ||||
−0.527547 | + | 0.849526i | \(0.676888\pi\) | |||||||
\(828\) | 14.5608 | − | 14.4070i | 0.506024 | − | 0.500679i | ||||
\(829\) | − | 44.3374i | − | 1.53990i | −0.638103 | − | 0.769951i | \(-0.720281\pi\) | ||
0.638103 | − | 0.769951i | \(-0.279719\pi\) | |||||||
\(830\) | 6.30115 | + | 15.3273i | 0.218716 | + | 0.532017i | ||||
\(831\) | 10.6633 | 0.369905 | ||||||||
\(832\) | 26.3935 | − | 25.5659i | 0.915029 | − | 0.886337i | ||||
\(833\) | − | 30.1398i | − | 1.04428i | ||||||
\(834\) | −7.63543 | − | 18.5729i | −0.264393 | − | 0.643125i | ||||
\(835\) | −13.9191 | + | 18.3702i | −0.481690 | + | 0.635727i | ||||
\(836\) | 5.52903 | − | 5.47063i | 0.191226 | − | 0.189206i | ||||
\(837\) | 12.7716 | 0.441453 | ||||||||
\(838\) | 17.6667 | + | 42.9735i | 0.610287 | + | 1.48450i | ||||
\(839\) | − | 9.67347i | − | 0.333965i | −0.985960 | − | 0.166983i | \(-0.946598\pi\) | ||
0.985960 | − | 0.166983i | \(-0.0534024\pi\) | |||||||
\(840\) | 5.18388 | + | 2.19576i | 0.178861 | + | 0.0757608i | ||||
\(841\) | −22.8802 | −0.788973 | ||||||||
\(842\) | 16.8109 | − | 6.91106i | 0.579340 | − | 0.238171i | ||||
\(843\) | 15.2684i | 0.525870i | ||||||||
\(844\) | −26.3955 | − | 26.6772i | −0.908569 | − | 0.918268i | ||||
\(845\) | − | 14.4416i | − | 0.496805i | ||||||
\(846\) | 2.23436 | + | 5.43498i | 0.0768188 | + | 0.186858i | ||||
\(847\) | 5.79790i | 0.199218i | ||||||||
\(848\) | −36.7080 | − | 0.389780i | −1.26056 | − | 0.0133851i | ||||
\(849\) | −0.620250 | −0.0212869 | ||||||||
\(850\) | 4.39507 | + | 10.6908i | 0.150750 | + | 0.366692i | ||||
\(851\) | − | 68.9510i | − | 2.36361i | ||||||
\(852\) | 11.5280 | + | 11.6510i | 0.394941 | + | 0.399157i | ||||
\(853\) | 30.3335 | 1.03860 | 0.519300 | − | 0.854592i | \(-0.326193\pi\) | ||||
0.519300 | + | 0.854592i | \(0.326193\pi\) | |||||||
\(854\) | 3.65505 | + | 8.89076i | 0.125073 | + | 0.304236i | ||||
\(855\) | 16.9582 | 0.579959 | ||||||||
\(856\) | 6.52123 | + | 2.76222i | 0.222891 | + | 0.0944109i | ||||
\(857\) | −53.7671 | −1.83665 | −0.918325 | − | 0.395828i | \(-0.870458\pi\) | ||||
−0.918325 | + | 0.395828i | \(0.870458\pi\) | |||||||
\(858\) | −2.64380 | − | 6.43092i | −0.0902577 | − | 0.219548i | ||||
\(859\) | − | 7.22281i | − | 0.246439i | −0.992379 | − | 0.123220i | \(-0.960678\pi\) | ||
0.992379 | − | 0.123220i | \(-0.0393219\pi\) | |||||||
\(860\) | −13.4648 | − | 13.6086i | −0.459147 | − | 0.464048i | ||||
\(861\) | 11.9808i | 0.408304i | ||||||||
\(862\) | −0.170356 | − | 0.414383i | −0.00580234 | − | 0.0141139i | ||||
\(863\) | − | 53.3262i | − | 1.81524i | −0.419789 | − | 0.907622i | \(-0.637896\pi\) | ||
0.419789 | − | 0.907622i | \(-0.362104\pi\) | |||||||
\(864\) | −18.8106 | + | 7.50068i | −0.639949 | + | 0.255178i | ||||
\(865\) | 40.6112i | 1.38082i | ||||||||
\(866\) | −13.7615 | + | 5.65747i | −0.467636 | + | 0.192249i | ||||
\(867\) | − | 6.58424i | − | 0.223612i | ||||||
\(868\) | 2.74030 | − | 2.71135i | 0.0930117 | − | 0.0920293i | ||||
\(869\) | − | 5.02085i | − | 0.170321i | ||||||
\(870\) | 11.9208 | − | 4.90073i | 0.404153 | − | 0.166150i | ||||
\(871\) | − | 66.6175i | − | 2.25725i | ||||||
\(872\) | −23.6950 | − | 10.0366i | −0.802414 | − | 0.339882i | ||||
\(873\) | −20.0698 | −0.679259 | ||||||||
\(874\) | 32.6230 | + | 79.3540i | 1.10349 | + | 2.68419i | ||||
\(875\) | −6.57072 | −0.222131 | ||||||||
\(876\) | 9.92669 | − | 9.82184i | 0.335392 | − | 0.331849i | ||||
\(877\) | −29.9090 | −1.00996 | −0.504978 | − | 0.863132i | \(-0.668499\pi\) | ||||
−0.504978 | + | 0.863132i | \(0.668499\pi\) | |||||||
\(878\) | −1.95286 | + | 0.802834i | −0.0659058 | + | 0.0270943i | ||||
\(879\) | − | 39.6715i | − | 1.33809i | ||||||
\(880\) | 0.0392520 | − | 3.69660i | 0.00132319 | − | 0.124612i | ||||
\(881\) | − | 52.0568i | − | 1.75384i | −0.480639 | − | 0.876919i | \(-0.659595\pi\) | ||
0.480639 | − | 0.876919i | \(-0.340405\pi\) | |||||||
\(882\) | 11.1165 | − | 4.57006i | 0.374311 | − | 0.153882i | ||||
\(883\) | − | 9.28366i | − | 0.312420i | −0.987724 | − | 0.156210i | \(-0.950072\pi\) | ||
0.987724 | − | 0.156210i | \(-0.0499277\pi\) | |||||||
\(884\) | 29.3402 | − | 29.0303i | 0.986818 | − | 0.976395i | ||||
\(885\) | −23.4483 | −0.788205 | ||||||||
\(886\) | −20.0417 | + | 8.23927i | −0.673313 | + | 0.276804i | ||||
\(887\) | −18.5360 | −0.622377 | −0.311189 | − | 0.950348i | \(-0.600727\pi\) | ||||
−0.311189 | + | 0.950348i | \(0.600727\pi\) | |||||||
\(888\) | 19.4368 | − | 45.8875i | 0.652255 | − | 1.53988i | ||||
\(889\) | −3.38440 | −0.113509 | ||||||||
\(890\) | 9.31536 | + | 22.6592i | 0.312252 | + | 0.759539i | ||||
\(891\) | 5.80157i | 0.194360i | ||||||||
\(892\) | −34.5861 | − | 34.9553i | −1.15803 | − | 1.17039i | ||||
\(893\) | −24.6137 | −0.823666 | ||||||||
\(894\) | 50.8633 | − | 20.9103i | 1.70112 | − | 0.699343i | ||||
\(895\) | 6.20214 | 0.207315 | ||||||||
\(896\) | −2.44366 | + | 5.60274i | −0.0816370 | + | 0.187174i | ||||
\(897\) | 76.6989 | 2.56090 | ||||||||
\(898\) | −46.9920 | + | 19.3187i | −1.56814 | + | 0.644675i | ||||
\(899\) | − | 8.82563i | − | 0.294351i | ||||||
\(900\) | −3.27667 | + | 3.24207i | −0.109222 | + | 0.108069i | ||||
\(901\) | −41.2350 | −1.37374 | ||||||||
\(902\) | 7.27639 | − | 2.99137i | 0.242277 | − | 0.0996019i | ||||
\(903\) | 5.98964 | 0.199323 | ||||||||
\(904\) | −40.9010 | − | 17.3246i | −1.36035 | − | 0.576208i | ||||
\(905\) | − | 5.60133i | − | 0.186195i | ||||||
\(906\) | 7.28419 | + | 17.7185i | 0.242001 | + | 0.588657i | ||||
\(907\) | 43.9327i | 1.45876i | 0.684108 | + | 0.729381i | \(0.260192\pi\) | ||||
−0.684108 | + | 0.729381i | \(0.739808\pi\) | |||||||
\(908\) | 15.0729 | − | 14.9137i | 0.500212 | − | 0.494929i | ||||
\(909\) | 7.39728i | 0.245352i | ||||||||
\(910\) | 2.37990 | + | 5.78900i | 0.0788929 | + | 0.191904i | ||||
\(911\) | 0.963872i | 0.0319345i | 0.999873 | + | 0.0159672i | \(0.00508275\pi\) | ||||
−0.999873 | + | 0.0159672i | \(0.994917\pi\) | |||||||
\(912\) | −0.658415 | + | 62.0070i | −0.0218023 | + | 2.05326i | ||||
\(913\) | 3.40471i | 0.112679i | ||||||||
\(914\) | 18.0865 | + | 43.9946i | 0.598248 | + | 1.45521i | ||||
\(915\) | 46.3504 | 1.53230 | ||||||||
\(916\) | −4.67233 | + | 4.62298i | −0.154378 | + | 0.152747i | ||||
\(917\) | − | 0.444541i | − | 0.0146800i | ||||||
\(918\) | −21.0386 | + | 8.64910i | −0.694376 | + | 0.285463i | ||||
\(919\) | 13.1544i | 0.433924i | 0.976180 | + | 0.216962i | \(0.0696147\pi\) | ||||
−0.976180 | + | 0.216962i | \(0.930385\pi\) | |||||||
\(920\) | 37.5492 | + | 15.9049i | 1.23796 | + | 0.524369i | ||||
\(921\) | 3.60047i | 0.118640i | ||||||||
\(922\) | −4.52471 | + | 1.86014i | −0.149013 | + | 0.0612605i | ||||
\(923\) | 18.2226i | 0.599804i | ||||||||
\(924\) | 0.813507 | + | 0.822191i | 0.0267624 | + | 0.0270481i | ||||
\(925\) | 15.5163i | 0.510172i | ||||||||
\(926\) | −41.9496 | + | 17.2458i | −1.37855 | + | 0.566731i | ||||
\(927\) | −5.50058 | −0.180663 | ||||||||
\(928\) | 5.18322 | + | 12.9987i | 0.170147 | + | 0.426704i | ||||
\(929\) | 29.8819 | 0.980392 | 0.490196 | − | 0.871612i | \(-0.336925\pi\) | ||||
0.490196 | + | 0.871612i | \(0.336925\pi\) | |||||||
\(930\) | −7.06758 | − | 17.1916i | −0.231755 | − | 0.563734i | ||||
\(931\) | 50.3438i | 1.64995i | ||||||||
\(932\) | −14.9998 | + | 14.8413i | −0.491334 | + | 0.486144i | ||||
\(933\) | 1.80539 | 0.0591059 | ||||||||
\(934\) | −4.00534 | − | 9.74282i | −0.131059 | − | 0.318795i | ||||
\(935\) | − | 4.15249i | − | 0.135801i | ||||||
\(936\) | 15.1561 | + | 6.41972i | 0.495391 | + | 0.209835i | ||||
\(937\) | − | 15.5508i | − | 0.508021i | −0.967201 | − | 0.254010i | \(-0.918250\pi\) | ||
0.967201 | − | 0.254010i | \(-0.0817498\pi\) | |||||||
\(938\) | 4.21353 | + | 10.2492i | 0.137577 | + | 0.334649i | ||||
\(939\) | 21.0906 | 0.688267 | ||||||||
\(940\) | −8.31596 | + | 8.22812i | −0.271237 | + | 0.268372i | ||||
\(941\) | − | 44.2590i | − | 1.44280i | −0.692517 | − | 0.721402i | \(-0.743498\pi\) | ||
0.692517 | − | 0.721402i | \(-0.256502\pi\) | |||||||
\(942\) | −11.5105 | − | 27.9987i | −0.375031 | − | 0.912247i | ||||
\(943\) | 86.7825i | 2.82603i | ||||||||
\(944\) | 0.270317 | − | 25.4574i | 0.00879808 | − | 0.828569i | ||||
\(945\) | − | 3.44948i | − | 0.112211i | ||||||
\(946\) | −1.49550 | − | 3.63774i | −0.0486229 | − | 0.118273i | ||||
\(947\) | 22.8331i | 0.741976i | 0.928638 | + | 0.370988i | \(0.120981\pi\) | ||||
−0.928638 | + | 0.370988i | \(0.879019\pi\) | |||||||
\(948\) | 28.1539 | + | 28.4545i | 0.914398 | + | 0.924159i | ||||
\(949\) | 15.5257 | 0.503985 | ||||||||
\(950\) | −7.34127 | − | 17.8573i | −0.238182 | − | 0.579368i | ||||
\(951\) | − | 29.6388i | − | 0.961103i | ||||||
\(952\) | −2.67789 | + | 6.32213i | −0.0867911 | + | 0.204902i | ||||
\(953\) | 27.2403i | 0.882398i | 0.897409 | + | 0.441199i | \(0.145447\pi\) | ||||
−0.897409 | + | 0.441199i | \(0.854553\pi\) | |||||||
\(954\) | −6.25240 | − | 15.2087i | −0.202429 | − | 0.492399i | ||||
\(955\) | −34.8776 | −1.12861 | ||||||||
\(956\) | 24.0381 | + | 24.2947i | 0.777446 | + | 0.785745i | ||||
\(957\) | 2.64802 | 0.0855983 | ||||||||
\(958\) | −30.9526 | + | 12.7248i | −1.00003 | + | 0.411121i | ||||
\(959\) | 3.54153i | 0.114362i | ||||||||
\(960\) | 20.5059 | + | 21.1697i | 0.661825 | + | 0.683249i | ||||
\(961\) | 18.2721 | 0.589424 | ||||||||
\(962\) | 51.2441 | − | 21.0668i | 1.65218 | − | 0.679221i | ||||
\(963\) | 3.17233i | 0.102227i | ||||||||
\(964\) | 10.1782 | + | 10.2869i | 0.327819 | + | 0.331318i | ||||
\(965\) | −29.8757 | −0.961733 | ||||||||
\(966\) | −11.8003 | + | 4.85118i | −0.379668 | + | 0.156084i | ||||
\(967\) | − | 46.0430i | − | 1.48064i | −0.672252 | − | 0.740322i | \(-0.734673\pi\) | ||
0.672252 | − | 0.740322i | \(-0.265327\pi\) | |||||||
\(968\) | −11.8386 | + | 27.9493i | −0.380507 | + | 0.898325i | ||||
\(969\) | 69.6540i | 2.23761i | ||||||||
\(970\) | −15.1920 | − | 36.9539i | −0.487787 | − | 1.18652i | ||||
\(971\) | −37.9258 | −1.21710 | −0.608548 | − | 0.793517i | \(-0.708248\pi\) | ||||
−0.608548 | + | 0.793517i | \(0.708248\pi\) | |||||||
\(972\) | −17.4244 | − | 17.6104i | −0.558888 | − | 0.564854i | ||||
\(973\) | 3.71385i | 0.119061i | ||||||||
\(974\) | −18.1760 | + | 7.47228i | −0.582397 | + | 0.239427i | ||||
\(975\) | −17.2598 | −0.552757 | ||||||||
\(976\) | −0.534339 | + | 50.3219i | −0.0171038 | + | 1.61077i | ||||
\(977\) | − | 59.3446i | − | 1.89860i | −0.314370 | − | 0.949301i | \(-0.601793\pi\) | ||
0.314370 | − | 0.949301i | \(-0.398207\pi\) | |||||||
\(978\) | −17.0239 | − | 41.4099i | −0.544364 | − | 1.32414i | ||||
\(979\) | 5.03339i | 0.160868i | ||||||||
\(980\) | 16.8295 | + | 17.0091i | 0.537597 | + | 0.543336i | ||||
\(981\) | − | 11.5267i | − | 0.368020i | ||||||
\(982\) | 19.9681 | + | 48.5714i | 0.637206 | + | 1.54998i | ||||
\(983\) | 25.7569 | 0.821517 | 0.410758 | − | 0.911744i | \(-0.365264\pi\) | ||||
0.410758 | + | 0.911744i | \(0.365264\pi\) | |||||||
\(984\) | −24.4633 | + | 57.7545i | −0.779863 | + | 1.84115i | ||||
\(985\) | −20.4820 | −0.652609 | ||||||||
\(986\) | 5.97681 | + | 14.5383i | 0.190341 | + | 0.462995i | ||||
\(987\) | − | 3.66017i | − | 0.116504i | ||||||
\(988\) | −49.0082 | + | 48.4905i | −1.55916 | + | 1.54269i | ||||
\(989\) | 43.3858 | 1.37959 | ||||||||
\(990\) | 1.53156 | − | 0.629635i | 0.0486762 | − | 0.0200111i | ||||
\(991\) | −46.6075 | −1.48054 | −0.740268 | − | 0.672311i | \(-0.765302\pi\) | ||||
−0.740268 | + | 0.672311i | \(0.765302\pi\) | |||||||
\(992\) | 18.7461 | − | 7.47497i | 0.595190 | − | 0.237331i | ||||
\(993\) | 68.4357i | 2.17174i | ||||||||
\(994\) | −1.15257 | − | 2.80358i | −0.0365574 | − | 0.0889243i | ||||
\(995\) | −3.44750 | −0.109293 | ||||||||
\(996\) | −19.0916 | − | 19.2954i | −0.604940 | − | 0.611398i | ||||
\(997\) | 10.4926 | 0.332305 | 0.166153 | − | 0.986100i | \(-0.446866\pi\) | ||||
0.166153 | + | 0.986100i | \(0.446866\pi\) | |||||||
\(998\) | 9.68514 | − | 3.98163i | 0.306578 | − | 0.126036i | ||||
\(999\) | −30.5346 | −0.966074 |
(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 | 668.2.b.b.667.12 | yes | 60 | |
4.3 | odd | 2 | inner | 668.2.b.b.667.10 | yes | 60 | |
167.166 | odd | 2 | inner | 668.2.b.b.667.11 | yes | 60 | |
668.667 | even | 2 | inner | 668.2.b.b.667.9 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
668.2.b.b.667.9 | ✓ | 60 | 668.667 | even | 2 | inner | |
668.2.b.b.667.10 | yes | 60 | 4.3 | odd | 2 | inner | |
668.2.b.b.667.11 | yes | 60 | 167.166 | odd | 2 | inner | |
668.2.b.b.667.12 | yes | 60 | 1.1 | even | 1 | trivial |