Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), degree \(6\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 188.3 | ||
Character | \(\chi\) | \(=\) | 441.188 |
Dual form | 441.2.w.a.251.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.64686 | + | 1.31333i | −1.16450 | + | 0.928661i | −0.998349 | − | 0.0574383i | \(-0.981707\pi\) |
−0.166155 | + | 0.986100i | \(0.553135\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.542276 | − | 2.37587i | 0.271138 | − | 1.18793i | ||||
\(5\) | 0.0408049 | − | 0.0196506i | 0.0182485 | − | 0.00878802i | −0.424737 | − | 0.905317i | \(-0.639634\pi\) |
0.442986 | + | 0.896529i | \(0.353919\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.337158 | − | 2.62418i | 0.127434 | − | 0.991847i | ||||
\(8\) | 0.399358 | + | 0.829276i | 0.141195 | + | 0.293193i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0413923 | + | 0.0859519i | −0.0130894 | + | 0.0271804i | ||||
\(11\) | −3.28716 | + | 2.62143i | −0.991117 | + | 0.790390i | −0.977804 | − | 0.209522i | \(-0.932809\pi\) |
−0.0133135 | + | 0.999911i | \(0.504238\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.87621 | + | 1.49623i | −0.520366 | + | 0.414978i | −0.848135 | − | 0.529780i | \(-0.822275\pi\) |
0.327769 | + | 0.944758i | \(0.393703\pi\) | |||||||
\(14\) | 2.89115 | + | 4.76445i | 0.772693 | + | 1.27335i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.64446 | + | 1.27351i | 0.661116 | + | 0.318377i | ||||
\(17\) | 1.21091 | + | 5.30534i | 0.293688 | + | 1.28673i | 0.879349 | + | 0.476177i | \(0.157978\pi\) |
−0.585661 | + | 0.810556i | \(0.699165\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.24209i | 0.743786i | 0.928276 | + | 0.371893i | \(0.121291\pi\) | ||||
−0.928276 | + | 0.371893i | \(0.878709\pi\) | |||||||
\(20\) | −0.0245597 | − | 0.107603i | −0.00549171 | − | 0.0240608i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.97071 | − | 8.63423i | 0.420156 | − | 1.84082i | ||||
\(23\) | 3.85813 | + | 0.880593i | 0.804476 | + | 0.183616i | 0.604937 | − | 0.796273i | \(-0.293198\pi\) |
0.199539 | + | 0.979890i | \(0.436055\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.11617 | + | 3.90755i | −0.623234 | + | 0.781511i | ||||
\(26\) | 1.12482 | − | 4.92814i | 0.220595 | − | 0.966488i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.05187 | − | 2.22407i | −1.14370 | − | 0.420310i | ||||
\(29\) | −4.40425 | + | 1.00524i | −0.817849 | + | 0.186669i | −0.610925 | − | 0.791688i | \(-0.709202\pi\) |
−0.206924 | + | 0.978357i | \(0.566345\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.18247i | 0.930799i | 0.885101 | + | 0.465399i | \(0.154089\pi\) | ||||
−0.885101 | + | 0.465399i | \(0.845911\pi\) | |||||||
\(32\) | −7.82228 | + | 1.78538i | −1.38280 | + | 0.315614i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −8.96183 | − | 7.14682i | −1.53694 | − | 1.22567i | ||||
\(35\) | −0.0378091 | − | 0.113705i | −0.00639090 | − | 0.0192196i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.882518 | + | 3.86656i | 0.145085 | + | 0.635659i | 0.994209 | + | 0.107465i | \(0.0342734\pi\) |
−0.849124 | + | 0.528194i | \(0.822869\pi\) | |||||||
\(38\) | −4.25792 | − | 5.33926i | −0.690725 | − | 0.866142i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.0325916 | + | 0.0259909i | 0.00515318 | + | 0.00410952i | ||||
\(41\) | 4.08180 | − | 1.96569i | 0.637470 | − | 0.306989i | −0.0870907 | − | 0.996200i | \(-0.527757\pi\) |
0.724561 | + | 0.689211i | \(0.242043\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.96346 | + | 2.39028i | 0.756920 | + | 0.364514i | 0.772208 | − | 0.635370i | \(-0.219152\pi\) |
−0.0152880 | + | 0.999883i | \(0.504867\pi\) | |||||||
\(44\) | 4.44561 | + | 9.23140i | 0.670200 | + | 1.39169i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.51030 | + | 3.61677i | −1.10733 | + | 0.533264i | ||||
\(47\) | −5.79967 | − | 7.27256i | −0.845969 | − | 1.06081i | −0.997380 | − | 0.0723410i | \(-0.976953\pi\) |
0.151411 | − | 0.988471i | \(-0.451618\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.77265 | − | 1.76953i | −0.967521 | − | 0.252790i | ||||
\(50\) | − | 10.5277i | − | 1.48885i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.53741 | + | 5.26898i | 0.351875 | + | 0.730677i | ||||
\(53\) | −5.38661 | − | 1.22946i | −0.739908 | − | 0.168879i | −0.164077 | − | 0.986448i | \(-0.552464\pi\) |
−0.575831 | + | 0.817568i | \(0.695322\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0826199 | + | 0.171562i | −0.0111405 | + | 0.0231334i | ||||
\(56\) | 2.31082 | − | 0.768392i | 0.308796 | − | 0.102681i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.93297 | − | 7.43971i | 0.779037 | − | 0.976881i | ||||
\(59\) | 3.45794 | + | 1.66525i | 0.450185 | + | 0.216798i | 0.645217 | − | 0.763999i | \(-0.276767\pi\) |
−0.195032 | + | 0.980797i | \(0.562481\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −12.2316 | + | 2.79179i | −1.56610 | + | 0.357452i | −0.915612 | − | 0.402064i | \(-0.868293\pi\) |
−0.650489 | + | 0.759516i | \(0.725436\pi\) | |||||||
\(62\) | −6.80627 | − | 8.53479i | −0.864397 | − | 1.08392i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.87735 | − | 8.62392i | 0.859668 | − | 1.07799i | ||||
\(65\) | −0.0471568 | + | 0.0979220i | −0.00584907 | + | 0.0121457i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.28996 | 0.401933 | 0.200966 | − | 0.979598i | \(-0.435592\pi\) | ||||
0.200966 | + | 0.979598i | \(0.435592\pi\) | |||||||
\(68\) | 13.2614 | 1.60818 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.211598 | + | 0.137600i | 0.0252908 | + | 0.0164464i | ||||
\(71\) | 1.72277 | + | 0.393212i | 0.204456 | + | 0.0466657i | 0.323522 | − | 0.946221i | \(-0.395133\pi\) |
−0.119066 | + | 0.992886i | \(0.537990\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.05062 | + | 6.42016i | 0.942254 | + | 0.751422i | 0.968702 | − | 0.248228i | \(-0.0798481\pi\) |
−0.0264478 | + | 0.999650i | \(0.508420\pi\) | |||||||
\(74\) | −6.53144 | − | 5.20865i | −0.759264 | − | 0.605493i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.70277 | + | 1.75811i | 0.883568 | + | 0.201669i | ||||
\(77\) | 5.77080 | + | 9.50995i | 0.657644 | + | 1.08376i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.50139 | −0.731464 | −0.365732 | − | 0.930720i | \(-0.619181\pi\) | ||||
−0.365732 | + | 0.930720i | \(0.619181\pi\) | |||||||
\(80\) | 0.132932 | 0.0148623 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.14055 | + | 8.59794i | −0.457247 | + | 0.949484i | ||||
\(83\) | 2.63094 | − | 3.29909i | 0.288783 | − | 0.362122i | −0.616186 | − | 0.787601i | \(-0.711323\pi\) |
0.904968 | + | 0.425479i | \(0.139894\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.153664 | + | 0.192689i | 0.0166672 | + | 0.0209000i | ||||
\(86\) | −11.3133 | + | 2.58219i | −1.21995 | + | 0.278445i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.48664 | − | 1.67908i | −0.371678 | − | 0.178990i | ||||
\(89\) | 6.50763 | − | 8.16031i | 0.689808 | − | 0.864991i | −0.306409 | − | 0.951900i | \(-0.599127\pi\) |
0.996216 | + | 0.0869087i | \(0.0276988\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.29379 | + | 5.42797i | 0.345283 | + | 0.569006i | ||||
\(92\) | 4.18434 | − | 8.68888i | 0.436248 | − | 0.905878i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 19.1025 | + | 4.36002i | 1.97027 | + | 0.449701i | ||||
\(95\) | 0.0637090 | + | 0.132293i | 0.00653641 | + | 0.0135730i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 18.6558i | − | 1.89420i | −0.320932 | − | 0.947102i | \(-0.603996\pi\) | ||
0.320932 | − | 0.947102i | \(-0.396004\pi\) | |||||||
\(98\) | 13.4776 | − | 5.98053i | 1.36144 | − | 0.604125i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 7.59400 | + | 9.52257i | 0.759400 | + | 0.952257i | ||||
\(101\) | −12.5759 | + | 6.05621i | −1.25134 | + | 0.602616i | −0.937872 | − | 0.346981i | \(-0.887207\pi\) |
−0.313473 | + | 0.949597i | \(0.601492\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.90418 | + | 8.10711i | 0.384690 | + | 0.798817i | 0.999945 | + | 0.0104889i | \(0.00333878\pi\) |
−0.615255 | + | 0.788328i | \(0.710947\pi\) | |||||||
\(104\) | −1.99006 | − | 0.958364i | −0.195142 | − | 0.0939754i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.4857 | − | 5.04963i | 1.01846 | − | 0.490463i | ||||
\(107\) | 12.4400 | + | 9.92059i | 1.20262 | + | 0.959060i | 0.999797 | − | 0.0201548i | \(-0.00641589\pi\) |
0.202826 | + | 0.979215i | \(0.434987\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.72830 | + | 2.16722i | 0.165541 | + | 0.207582i | 0.857682 | − | 0.514180i | \(-0.171904\pi\) |
−0.692141 | + | 0.721762i | \(0.743332\pi\) | |||||||
\(110\) | −0.0892534 | − | 0.391045i | −0.00850998 | − | 0.0372847i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.23351 | − | 6.51017i | 0.400029 | − | 0.615154i | ||||
\(113\) | 11.3723 | + | 9.06907i | 1.06981 | + | 0.853147i | 0.989631 | − | 0.143634i | \(-0.0458787\pi\) |
0.0801810 | + | 0.996780i | \(0.474450\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.174735 | − | 0.0398821i | 0.0162941 | − | 0.00371903i | ||||
\(116\) | 11.0090i | 1.02216i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −7.88175 | + | 1.79896i | −0.725574 | + | 0.165608i | ||||
\(119\) | 14.3304 | − | 1.38891i | 1.31367 | − | 0.127321i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.48585 | − | 6.50991i | 0.135077 | − | 0.591810i | ||||
\(122\) | 16.4772 | − | 20.6618i | 1.49178 | − | 1.87063i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 12.3128 | + | 2.81033i | 1.10573 | + | 0.252375i | ||||
\(125\) | −0.100759 | + | 0.441455i | −0.00901217 | + | 0.0394849i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.625644 | − | 2.74112i | −0.0555169 | − | 0.243235i | 0.939554 | − | 0.342400i | \(-0.111240\pi\) |
−0.995071 | + | 0.0991651i | \(0.968383\pi\) | |||||||
\(128\) | 7.18767i | 0.635307i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0509430 | − | 0.223196i | −0.00446800 | − | 0.0195756i | ||||
\(131\) | −1.56990 | − | 0.756022i | −0.137162 | − | 0.0660539i | 0.364044 | − | 0.931382i | \(-0.381396\pi\) |
−0.501206 | + | 0.865328i | \(0.667110\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.50783 | + | 1.09310i | 0.737722 | + | 0.0947835i | ||||
\(134\) | −5.41810 | + | 4.32079i | −0.468053 | + | 0.373260i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.91600 | + | 3.12291i | −0.335795 | + | 0.267787i | ||||
\(137\) | −5.99435 | + | 12.4474i | −0.512132 | + | 1.06345i | 0.471266 | + | 0.881991i | \(0.343797\pi\) |
−0.983398 | + | 0.181462i | \(0.941917\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.69915 | + | 3.52832i | 0.144120 | + | 0.299268i | 0.960516 | − | 0.278224i | \(-0.0897457\pi\) |
−0.816396 | + | 0.577492i | \(0.804031\pi\) | |||||||
\(140\) | −0.290650 | + | 0.0281698i | −0.0245644 | + | 0.00238079i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.35358 | + | 1.61500i | −0.281426 | + | 0.135528i | ||||
\(143\) | 2.24516 | − | 9.83668i | 0.187750 | − | 0.822585i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.159961 | + | 0.127565i | −0.0132841 | + | 0.0105937i | ||||
\(146\) | −21.6900 | −1.79508 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.66500 | 0.794458 | ||||||||
\(149\) | −15.1661 | + | 12.0945i | −1.24245 | + | 0.990824i | −0.242668 | + | 0.970109i | \(0.578023\pi\) |
−0.999785 | + | 0.0207145i | \(0.993406\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.50637 | + | 6.59983i | −0.122586 | + | 0.537086i | 0.875920 | + | 0.482456i | \(0.160255\pi\) |
−0.998507 | + | 0.0546302i | \(0.982602\pi\) | |||||||
\(152\) | −2.68859 | + | 1.29476i | −0.218073 | + | 0.105019i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −21.9934 | − | 8.08259i | −1.77227 | − | 0.651314i | ||||
\(155\) | 0.101839 | + | 0.211470i | 0.00817988 | + | 0.0169857i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.03101 | − | 16.6766i | 0.640944 | − | 1.33093i | −0.286898 | − | 0.957961i | \(-0.592624\pi\) |
0.927842 | − | 0.372973i | \(-0.121662\pi\) | |||||||
\(158\) | 10.7069 | − | 8.53844i | 0.851793 | − | 0.679282i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.284104 | + | 0.226565i | −0.0224604 | + | 0.0179115i | ||||
\(161\) | 3.61164 | − | 9.82754i | 0.284637 | − | 0.774518i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.2137 | − | 8.28967i | −1.34828 | − | 0.649297i | −0.386288 | − | 0.922378i | \(-0.626243\pi\) |
−0.961991 | + | 0.273081i | \(0.911957\pi\) | |||||||
\(164\) | −2.45676 | − | 10.7638i | −0.191840 | − | 0.840508i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.88841i | 0.689874i | ||||||||
\(167\) | −2.33206 | − | 10.2174i | −0.180460 | − | 0.790648i | −0.981411 | − | 0.191918i | \(-0.938529\pi\) |
0.800951 | − | 0.598730i | \(-0.204328\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.61131 | + | 7.05960i | −0.123947 | + | 0.543046i | ||||
\(170\) | −0.506126 | − | 0.115520i | −0.0388181 | − | 0.00885998i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.37053 | − | 10.4963i | 0.638247 | − | 0.800337i | ||||
\(173\) | −1.49929 | + | 6.56881i | −0.113989 | + | 0.499418i | 0.885412 | + | 0.464807i | \(0.153876\pi\) |
−0.999401 | + | 0.0346106i | \(0.988981\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.20349 | + | 9.49486i | 0.695718 | + | 0.717744i | ||||
\(176\) | −12.0312 | + | 2.74604i | −0.906885 | + | 0.206991i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 21.9855i | 1.64788i | ||||||||
\(179\) | 4.03099 | − | 0.920048i | 0.301291 | − | 0.0687676i | −0.0692031 | − | 0.997603i | \(-0.522046\pi\) |
0.370494 | + | 0.928835i | \(0.379189\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −20.0232 | − | 15.9680i | −1.48831 | − | 1.18689i | −0.935371 | − | 0.353668i | \(-0.884934\pi\) |
−0.552941 | − | 0.833221i | \(-0.686494\pi\) | |||||||
\(182\) | −12.5531 | − | 4.61328i | −0.930497 | − | 0.341959i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.810522 | + | 3.55113i | 0.0597525 | + | 0.261793i | ||||
\(185\) | 0.111991 | + | 0.140433i | 0.00823377 | + | 0.0103248i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −17.8880 | − | 14.2652i | −1.30810 | − | 1.04318i | ||||
\(188\) | −20.4236 | + | 9.83551i | −1.48955 | + | 0.717328i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.278664 | − | 0.134197i | −0.0202164 | − | 0.00973570i | ||||
\(191\) | −2.54518 | − | 5.28512i | −0.184163 | − | 0.382418i | 0.788364 | − | 0.615209i | \(-0.210928\pi\) |
−0.972527 | + | 0.232791i | \(0.925214\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.72926 | − | 2.27749i | 0.340420 | − | 0.163938i | −0.255861 | − | 0.966714i | \(-0.582359\pi\) |
0.596281 | + | 0.802776i | \(0.296645\pi\) | |||||||
\(194\) | 24.5011 | + | 30.7234i | 1.75907 | + | 2.20581i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −7.87680 | + | 15.1313i | −0.562629 | + | 1.08081i | ||||
\(197\) | − | 16.8005i | − | 1.19699i | −0.801127 | − | 0.598494i | \(-0.795766\pi\) | ||
0.801127 | − | 0.598494i | \(-0.204234\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.2654 | − | 21.3164i | −0.727696 | − | 1.51108i | −0.854671 | − | 0.519171i | \(-0.826241\pi\) |
0.126974 | − | 0.991906i | \(-0.459473\pi\) | |||||||
\(200\) | −4.48491 | − | 1.02365i | −0.317131 | − | 0.0723831i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.7569 | − | 26.4899i | 0.897571 | − | 1.86382i | ||||
\(203\) | 1.15301 | + | 11.8965i | 0.0809252 | + | 0.834969i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.127930 | − | 0.160420i | 0.00893505 | − | 0.0112042i | ||||
\(206\) | −17.0769 | − | 8.22380i | −1.18980 | − | 0.572979i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.86701 | + | 1.56735i | −0.476142 | + | 0.108676i | ||||
\(209\) | −8.49890 | − | 10.6573i | −0.587881 | − | 0.737180i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.0402 | + | 20.1138i | −1.10425 | + | 1.38469i | −0.188919 | + | 0.981993i | \(0.560498\pi\) |
−0.915334 | + | 0.402696i | \(0.868073\pi\) | |||||||
\(212\) | −5.84206 | + | 12.1312i | −0.401234 | + | 0.833171i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −33.5159 | −2.29110 | ||||||||
\(215\) | 0.249504 | 0.0170160 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 13.5997 | + | 1.74731i | 0.923210 | + | 0.118615i | ||||
\(218\) | −5.69254 | − | 1.29928i | −0.385547 | − | 0.0879986i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.362805 | + | 0.289327i | 0.0244603 | + | 0.0195065i | ||||
\(221\) | −10.2099 | − | 8.14212i | −0.686792 | − | 0.547698i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 25.6677 | + | 5.85848i | 1.71883 | + | 0.392313i | 0.964480 | − | 0.264156i | \(-0.0850933\pi\) |
0.754354 | + | 0.656468i | \(0.227950\pi\) | |||||||
\(224\) | 2.04783 | + | 21.1290i | 0.136826 | + | 1.41174i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −30.6391 | −2.03808 | ||||||||
\(227\) | 29.1528 | 1.93494 | 0.967468 | − | 0.252993i | \(-0.0814150\pi\) | ||||
0.967468 | + | 0.252993i | \(0.0814150\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.965738 | + | 2.00537i | −0.0638177 | + | 0.132519i | −0.930438 | − | 0.366449i | \(-0.880573\pi\) |
0.866620 | + | 0.498968i | \(0.166288\pi\) | |||||||
\(230\) | −0.235385 | + | 0.295164i | −0.0155209 | + | 0.0194625i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.59250 | − | 3.25089i | −0.170206 | − | 0.213431i | ||||
\(233\) | 0.564422 | − | 0.128826i | 0.0369765 | − | 0.00843965i | −0.203993 | − | 0.978972i | \(-0.565392\pi\) |
0.240969 | + | 0.970533i | \(0.422535\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.379565 | − | 0.182789i | −0.0247601 | − | 0.0119238i | ||||
\(236\) | 5.83158 | − | 7.31256i | 0.379603 | − | 0.476007i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −21.7761 | + | 21.1078i | −1.41153 | + | 1.36822i | ||||
\(239\) | 9.11840 | − | 18.9346i | 0.589821 | − | 1.22478i | −0.365943 | − | 0.930637i | \(-0.619253\pi\) |
0.955763 | − | 0.294138i | \(-0.0950324\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.0890 | − | 2.98747i | −0.843134 | − | 0.192440i | −0.220925 | − | 0.975291i | \(-0.570908\pi\) |
−0.622209 | + | 0.782851i | \(0.713765\pi\) | |||||||
\(242\) | 6.10266 | + | 12.6723i | 0.392294 | + | 0.814607i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 30.5746i | 1.95734i | ||||||||
\(245\) | −0.311130 | + | 0.0608813i | −0.0198773 | + | 0.00388956i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.85090 | − | 6.08283i | −0.308655 | − | 0.387041i | ||||
\(248\) | −4.29770 | + | 2.06966i | −0.272904 | + | 0.131424i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.413838 | − | 0.859343i | −0.0261734 | − | 0.0543496i | ||||
\(251\) | 22.5427 | + | 10.8560i | 1.42288 | + | 0.685223i | 0.977659 | − | 0.210197i | \(-0.0674106\pi\) |
0.445222 | + | 0.895420i | \(0.353125\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −14.9907 | + | 7.21915i | −0.942459 | + | 0.453864i | ||||
\(254\) | 4.63033 | + | 3.69257i | 0.290533 | + | 0.231692i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.31494 | + | 5.41076i | 0.269684 | + | 0.338173i | ||||
\(257\) | 0.0311024 | + | 0.136268i | 0.00194011 | + | 0.00850019i | 0.975889 | − | 0.218269i | \(-0.0700409\pi\) |
−0.973949 | + | 0.226769i | \(0.927184\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.4441 | − | 1.01224i | 0.648965 | − | 0.0628977i | ||||
\(260\) | 0.207078 | + | 0.165139i | 0.0128424 | + | 0.0102415i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.57830 | − | 0.816723i | 0.221068 | − | 0.0504573i | ||||
\(263\) | 22.2556i | 1.37234i | 0.727441 | + | 0.686170i | \(0.240709\pi\) | ||||
−0.727441 | + | 0.686170i | \(0.759291\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.243960 | + | 0.0556822i | −0.0149863 | + | 0.00342053i | ||||
\(266\) | −15.4468 | + | 9.37337i | −0.947103 | + | 0.574718i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.78407 | − | 7.81651i | 0.108979 | − | 0.477469i | ||||
\(269\) | −4.33764 | + | 5.43923i | −0.264471 | + | 0.331636i | −0.896281 | − | 0.443488i | \(-0.853741\pi\) |
0.631810 | + | 0.775124i | \(0.282312\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 22.9710 | + | 5.24299i | 1.39539 | + | 0.318489i | 0.853120 | − | 0.521714i | \(-0.174707\pi\) |
0.542272 | + | 0.840203i | \(0.317564\pi\) | |||||||
\(272\) | −3.55418 | + | 15.5719i | −0.215504 | + | 0.944183i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.47564 | − | 28.3716i | −0.391208 | − | 1.71399i | ||||
\(275\) | − | 21.0136i | − | 1.26717i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.46454 | − | 6.41658i | −0.0879958 | − | 0.385535i | 0.911683 | − | 0.410895i | \(-0.134784\pi\) |
−0.999678 | + | 0.0253604i | \(0.991927\pi\) | |||||||
\(278\) | −7.43209 | − | 3.57910i | −0.445747 | − | 0.214660i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.0791934 | − | 0.0767631i | 0.00473271 | − | 0.00458748i | ||||
\(281\) | −13.7575 | + | 10.9713i | −0.820706 | + | 0.654491i | −0.941060 | − | 0.338240i | \(-0.890168\pi\) |
0.120354 | + | 0.992731i | \(0.461597\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.2993 | − | 11.4033i | 0.850006 | − | 0.677857i | −0.0983203 | − | 0.995155i | \(-0.531347\pi\) |
0.948326 | + | 0.317298i | \(0.102776\pi\) | |||||||
\(284\) | 1.86844 | − | 3.87985i | 0.110871 | − | 0.230227i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.22131 | + | 19.1482i | 0.545267 | + | 1.13226i | ||||
\(287\) | −3.78212 | − | 11.3741i | −0.223251 | − | 0.671394i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.3638 | + | 5.47253i | −0.668460 | + | 0.321914i | ||||
\(290\) | 0.0958995 | − | 0.420163i | 0.00563141 | − | 0.0246728i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 19.6191 | − | 15.6457i | 1.14812 | − | 0.915595i | ||||
\(293\) | −14.1666 | −0.827620 | −0.413810 | − | 0.910363i | \(-0.635802\pi\) | ||||
−0.413810 | + | 0.910363i | \(0.635802\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.173824 | 0.0101204 | ||||||||
\(296\) | −2.85401 | + | 2.27600i | −0.165886 | + | 0.132290i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.09231 | − | 39.8360i | 0.526703 | − | 2.30764i | ||||
\(299\) | −8.55622 | + | 4.12046i | −0.494819 | + | 0.238292i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.94598 | − | 12.2191i | 0.457999 | − | 0.704298i | ||||
\(302\) | −6.18695 | − | 12.8473i | −0.356019 | − | 0.739281i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −4.12882 | + | 8.57358i | −0.236804 | + | 0.491729i | ||||
\(305\) | −0.444250 | + | 0.354278i | −0.0254377 | + | 0.0202859i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 6.80391 | − | 5.42594i | 0.388320 | − | 0.309675i | −0.409798 | − | 0.912176i | \(-0.634401\pi\) |
0.798118 | + | 0.602502i | \(0.205829\pi\) | |||||||
\(308\) | 25.7237 | − | 8.55363i | 1.46575 | − | 0.487389i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.445443 | − | 0.214514i | −0.0252995 | − | 0.0121836i | ||||
\(311\) | 3.26111 | + | 14.2879i | 0.184921 | + | 0.810191i | 0.979242 | + | 0.202693i | \(0.0649695\pi\) |
−0.794321 | + | 0.607498i | \(0.792173\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 23.9510i | − | 1.35379i | −0.736078 | − | 0.676896i | \(-0.763324\pi\) | ||
0.736078 | − | 0.676896i | \(-0.236676\pi\) | |||||||
\(314\) | 8.67582 | + | 38.0113i | 0.489605 | + | 2.14510i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.52555 | + | 15.4464i | −0.198327 | + | 0.868929i | ||||
\(317\) | 20.5063 | + | 4.68044i | 1.15175 | + | 0.262880i | 0.755428 | − | 0.655231i | \(-0.227429\pi\) |
0.396323 | + | 0.918111i | \(0.370286\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.8423 | − | 14.8498i | 0.663043 | − | 0.831430i | ||||
\(320\) | 0.111164 | − | 0.487042i | 0.00621427 | − | 0.0272265i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.95890 | + | 20.9278i | 0.387804 | + | 1.16626i | ||||
\(323\) | −17.2004 | + | 3.92587i | −0.957054 | + | 0.218441i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 11.9939i | − | 0.665301i | ||||||
\(326\) | 39.2355 | − | 8.95525i | 2.17305 | − | 0.495985i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.26020 | + | 2.59992i | 0.180015 | + | 0.143557i | ||||
\(329\) | −21.0399 | + | 12.7674i | −1.15997 | + | 0.703889i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.22958 | + | 22.9123i | 0.287444 | + | 1.25937i | 0.888020 | + | 0.459805i | \(0.152081\pi\) |
−0.600576 | + | 0.799568i | \(0.705062\pi\) | |||||||
\(332\) | −6.41150 | − | 8.03977i | −0.351877 | − | 0.441239i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 17.2594 | + | 13.7639i | 0.944391 | + | 0.753127i | ||||
\(335\) | 0.134247 | − | 0.0646498i | 0.00733468 | − | 0.00353219i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.6874 | + | 9.48093i | 1.07244 | + | 0.516459i | 0.884892 | − | 0.465796i | \(-0.154232\pi\) |
0.187547 | + | 0.982256i | \(0.439946\pi\) | |||||||
\(338\) | −6.61796 | − | 13.7423i | −0.359970 | − | 0.747484i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.541131 | − | 0.260595i | 0.0293469 | − | 0.0141327i | ||||
\(341\) | −13.5855 | − | 17.0356i | −0.735694 | − | 0.922531i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.92701 | + | 17.1760i | −0.374024 | + | 0.927419i | ||||
\(344\) | 5.07066i | 0.273391i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −6.15787 | − | 12.7870i | −0.331049 | − | 0.687431i | ||||
\(347\) | −34.5057 | − | 7.87571i | −1.85237 | − | 0.422790i | −0.856701 | − | 0.515813i | \(-0.827490\pi\) |
−0.995664 | + | 0.0930223i | \(0.970347\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 10.4131 | − | 21.6229i | 0.557398 | − | 1.15745i | −0.411824 | − | 0.911263i | \(-0.635108\pi\) |
0.969222 | − | 0.246186i | \(-0.0791775\pi\) | |||||||
\(350\) | −27.6267 | − | 3.54951i | −1.47671 | − | 0.189729i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 21.0329 | − | 26.3744i | 1.12106 | − | 1.40576i | ||||
\(353\) | −0.186806 | − | 0.0899609i | −0.00994267 | − | 0.00478814i | 0.428906 | − | 0.903349i | \(-0.358899\pi\) |
−0.438848 | + | 0.898561i | \(0.644614\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.0780245 | − | 0.0178086i | 0.00414111 | − | 0.000945181i | ||||
\(356\) | −15.8589 | − | 19.8864i | −0.840518 | − | 1.05398i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.43015 | + | 6.80919i | −0.286992 | + | 0.359877i | ||||
\(359\) | 11.6787 | − | 24.2511i | 0.616380 | − | 1.27993i | −0.325996 | − | 0.945371i | \(-0.605700\pi\) |
0.942376 | − | 0.334555i | \(-0.108586\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.48886 | 0.446782 | ||||||||
\(362\) | 53.9465 | 2.83536 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 14.6823 | − | 4.88214i | 0.769560 | − | 0.255894i | ||||
\(365\) | 0.454665 | + | 0.103774i | 0.0237983 | + | 0.00543180i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.40395 | + | 6.70192i | 0.438682 | + | 0.349838i | 0.817792 | − | 0.575514i | \(-0.195198\pi\) |
−0.379109 | + | 0.925352i | \(0.623770\pi\) | |||||||
\(368\) | 9.08124 | + | 7.24205i | 0.473393 | + | 0.377518i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.368868 | − | 0.0841917i | −0.0191765 | − | 0.00437692i | ||||
\(371\) | −5.04246 | + | 13.7209i | −0.261792 | + | 0.712355i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −30.6084 | −1.58484 | −0.792421 | − | 0.609974i | \(-0.791180\pi\) | ||||
−0.792421 | + | 0.609974i | \(0.791180\pi\) | |||||||
\(374\) | 48.1939 | 2.49205 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.71481 | − | 7.71389i | 0.191577 | − | 0.397814i | ||||
\(377\) | 6.75922 | − | 8.47580i | 0.348118 | − | 0.436526i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.81241 | + | 7.28853i | 0.298563 | + | 0.374387i | 0.908373 | − | 0.418162i | \(-0.137325\pi\) |
−0.609809 | + | 0.792548i | \(0.708754\pi\) | |||||||
\(380\) | 0.348859 | − | 0.0796247i | 0.0178961 | − | 0.00408466i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 11.1326 | + | 5.36119i | 0.569595 | + | 0.274302i | ||||
\(383\) | −0.204649 | + | 0.256621i | −0.0104571 | + | 0.0131127i | −0.787033 | − | 0.616912i | \(-0.788384\pi\) |
0.776575 | + | 0.630024i | \(0.216955\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.422353 | + | 0.274653i | 0.0215251 | + | 0.0139976i | ||||
\(386\) | −4.79734 | + | 9.96177i | −0.244178 | + | 0.507041i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −44.3235 | − | 10.1166i | −2.25019 | − | 0.513591i | ||||
\(389\) | 1.98108 | + | 4.11376i | 0.100445 | + | 0.208576i | 0.945135 | − | 0.326679i | \(-0.105930\pi\) |
−0.844690 | + | 0.535255i | \(0.820215\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21.5350i | 1.08907i | ||||||||
\(392\) | −1.23729 | − | 6.32307i | −0.0624925 | − | 0.319363i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 22.0646 | + | 27.6681i | 1.11160 | + | 1.39390i | ||||
\(395\) | −0.265289 | + | 0.127756i | −0.0133481 | + | 0.00642812i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.27747 | + | 17.1884i | 0.415434 | + | 0.862659i | 0.998729 | + | 0.0503980i | \(0.0160490\pi\) |
−0.583295 | + | 0.812261i | \(0.698237\pi\) | |||||||
\(398\) | 44.9010 | + | 21.6232i | 2.25068 | + | 1.08387i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −13.2169 | + | 6.36492i | −0.660844 | + | 0.318246i | ||||
\(401\) | 5.90604 | + | 4.70991i | 0.294934 | + | 0.235202i | 0.759765 | − | 0.650197i | \(-0.225314\pi\) |
−0.464832 | + | 0.885399i | \(0.653885\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.75414 | − | 9.72338i | −0.386261 | − | 0.484356i | ||||
\(404\) | 7.56917 | + | 33.1627i | 0.376580 | + | 1.64991i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −17.5228 | − | 18.0775i | −0.869641 | − | 0.897173i | ||||
\(407\) | −13.0369 | − | 10.3966i | −0.646215 | − | 0.515339i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.6929 | + | 4.26654i | −0.924307 | + | 0.210967i | −0.658084 | − | 0.752945i | \(-0.728633\pi\) |
−0.266223 | + | 0.963912i | \(0.585776\pi\) | |||||||
\(410\) | 0.432203i | 0.0213450i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 21.3785 | − | 4.87951i | 1.05324 | − | 0.240396i | ||||
\(413\) | 5.53580 | − | 8.51280i | 0.272399 | − | 0.418887i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.0425260 | − | 0.186319i | 0.00208752 | − | 0.00914602i | ||||
\(416\) | 12.0049 | − | 15.0537i | 0.588588 | − | 0.738066i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 27.9930 | + | 6.38921i | 1.36918 | + | 0.312506i | ||||
\(419\) | 4.45134 | − | 19.5026i | 0.217462 | − | 0.952763i | −0.741883 | − | 0.670529i | \(-0.766067\pi\) |
0.959345 | − | 0.282234i | \(-0.0910756\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.64719 | + | 15.9794i | 0.177753 | + | 0.778788i | 0.982664 | + | 0.185393i | \(0.0593557\pi\) |
−0.804911 | + | 0.593395i | \(0.797787\pi\) | |||||||
\(422\) | − | 54.1905i | − | 2.63795i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.13163 | − | 4.95798i | −0.0549567 | − | 0.240781i | ||||
\(425\) | −24.5043 | − | 11.8006i | −1.18863 | − | 0.572415i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.20217 | + | 33.0393i | 0.154964 | + | 1.59888i | ||||
\(428\) | 30.3159 | − | 24.1761i | 1.46538 | − | 1.16860i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.410897 | + | 0.327680i | −0.0198152 | + | 0.0158021i | ||||
\(431\) | 4.12622 | − | 8.56819i | 0.198753 | − | 0.412715i | −0.777642 | − | 0.628707i | \(-0.783584\pi\) |
0.976395 | + | 0.215992i | \(0.0692986\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.1776 | + | 25.2870i | 0.585218 | + | 1.21522i | 0.957858 | + | 0.287242i | \(0.0927383\pi\) |
−0.372640 | + | 0.927976i | \(0.621547\pi\) | |||||||
\(434\) | −24.6916 | + | 14.9833i | −1.18524 | + | 0.719221i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.08624 | − | 2.93098i | 0.291478 | − | 0.140369i | ||||
\(437\) | −2.85496 | + | 12.5084i | −0.136571 | + | 0.598358i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 22.4497 | − | 17.9030i | 1.07146 | − | 0.854464i | 0.0816258 | − | 0.996663i | \(-0.473989\pi\) |
0.989838 | + | 0.142199i | \(0.0454173\pi\) | |||||||
\(440\) | −0.175267 | −0.00835553 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 27.5075 | 1.30840 | ||||||||
\(443\) | 1.55249 | − | 1.23807i | 0.0737612 | − | 0.0588226i | −0.585915 | − | 0.810372i | \(-0.699265\pi\) |
0.659676 | + | 0.751550i | \(0.270693\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.105188 | − | 0.460860i | 0.00498640 | − | 0.0218469i | ||||
\(446\) | −49.9651 | + | 24.0619i | −2.36592 | + | 1.13936i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.3120 | − | 20.9550i | −0.959651 | − | 0.990032i | ||||
\(449\) | 0.740682 | + | 1.53804i | 0.0349550 | + | 0.0725847i | 0.917715 | − | 0.397239i | \(-0.130032\pi\) |
−0.882760 | + | 0.469824i | \(0.844317\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.26463 | + | 17.1617i | −0.389166 | + | 0.808112i | ||||
\(452\) | 27.7138 | − | 22.1010i | 1.30355 | − | 1.03954i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −48.0104 | + | 38.2871i | −2.25324 | + | 1.79690i | ||||
\(455\) | 0.241066 | + | 0.156763i | 0.0113013 | + | 0.00734916i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −33.5854 | − | 16.1739i | −1.57106 | − | 0.756582i | −0.573041 | − | 0.819527i | \(-0.694236\pi\) |
−0.998017 | + | 0.0629452i | \(0.979951\pi\) | |||||||
\(458\) | −1.04328 | − | 4.57089i | −0.0487491 | − | 0.213584i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 0.436774i | − | 0.0203647i | ||||||
\(461\) | 2.50035 | + | 10.9548i | 0.116453 | + | 0.510214i | 0.999186 | + | 0.0403389i | \(0.0128438\pi\) |
−0.882733 | + | 0.469875i | \(0.844299\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.757284 | − | 3.31788i | 0.0351940 | − | 0.154195i | −0.954278 | − | 0.298922i | \(-0.903373\pi\) |
0.989472 | + | 0.144727i | \(0.0462303\pi\) | |||||||
\(464\) | −12.9271 | − | 2.95052i | −0.600124 | − | 0.136974i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.760333 | + | 0.953427i | −0.0352217 | + | 0.0441667i | ||||
\(467\) | 7.33920 | − | 32.1551i | 0.339618 | − | 1.48796i | −0.460252 | − | 0.887789i | \(-0.652241\pi\) |
0.799869 | − | 0.600174i | \(-0.204902\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.10924 | − | 8.63346i | 0.0512198 | − | 0.398656i | ||||
\(470\) | 0.865152 | − | 0.197465i | 0.0399065 | − | 0.00910839i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.53262i | 0.162602i | ||||||||
\(473\) | −22.5816 | + | 5.15411i | −1.03830 | + | 0.236986i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −12.6686 | − | 10.1029i | −0.581277 | − | 0.463553i | ||||
\(476\) | 4.47119 | − | 34.8003i | 0.204937 | − | 1.59507i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.85052 | + | 43.1580i | 0.450553 | + | 1.97400i | ||||
\(479\) | 7.54322 | + | 9.45890i | 0.344658 | + | 0.432188i | 0.923704 | − | 0.383107i | \(-0.125146\pi\) |
−0.579045 | + | 0.815295i | \(0.696575\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.44104 | − | 5.93403i | −0.339282 | − | 0.270568i | ||||
\(482\) | 25.4792 | − | 12.2701i | 1.16055 | − | 0.558889i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −14.6609 | − | 7.06034i | −0.666406 | − | 0.320924i | ||||
\(485\) | −0.366597 | − | 0.761246i | −0.0166463 | − | 0.0345664i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.67643 | − | 2.73363i | 0.257224 | − | 0.123872i | −0.300828 | − | 0.953678i | \(-0.597263\pi\) |
0.558052 | + | 0.829806i | \(0.311549\pi\) | |||||||
\(488\) | −7.19997 | − | 9.02848i | −0.325927 | − | 0.408700i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.432429 | − | 0.508877i | 0.0195352 | − | 0.0229887i | ||||
\(491\) | − | 0.00191807i | − | 8.65614e-5i | −1.00000 | 4.32807e-5i | \(-0.999986\pi\) | |||
1.00000 | 4.32807e-5i | \(-1.37767e-5\pi\) | ||||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.6663 | − | 22.1488i | −0.480386 | − | 0.997531i | ||||
\(494\) | 15.9775 | + | 3.64675i | 0.718861 | + | 0.164075i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.59990 | + | 13.7048i | −0.296344 | + | 0.615365i | ||||
\(497\) | 1.61271 | − | 4.38829i | 0.0723397 | − | 0.196842i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.62945 | − | 5.80515i | 0.207243 | − | 0.259874i | −0.667337 | − | 0.744756i | \(-0.732566\pi\) |
0.874580 | + | 0.484882i | \(0.161137\pi\) | |||||||
\(500\) | 0.994198 | + | 0.478780i | 0.0444619 | + | 0.0214117i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −51.3820 | + | 11.7276i | −2.29329 | + | 0.523429i | ||||
\(503\) | −7.91497 | − | 9.92506i | −0.352911 | − | 0.442536i | 0.573412 | − | 0.819267i | \(-0.305620\pi\) |
−0.926323 | + | 0.376731i | \(0.877048\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.394149 | + | 0.494247i | −0.0175394 | + | 0.0219937i | ||||
\(506\) | 15.2065 | − | 31.5766i | 0.676011 | − | 1.40375i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −6.85181 | −0.304000 | ||||||||
\(509\) | 22.8097 | 1.01102 | 0.505511 | − | 0.862820i | \(-0.331304\pi\) | ||||
0.505511 | + | 0.862820i | \(0.331304\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 19.5620 | − | 18.9617i | 0.865371 | − | 0.838815i | ||||
\(512\) | −28.2271 | − | 6.44265i | −1.24747 | − | 0.284728i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.230186 | − | 0.183567i | −0.0101531 | − | 0.00809680i | ||||
\(515\) | 0.318619 | + | 0.254090i | 0.0140400 | + | 0.0111966i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 38.1290 | + | 8.70269i | 1.67691 | + | 0.382744i | ||||
\(518\) | −15.8706 | + | 15.3835i | −0.697312 | + | 0.675914i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.100037 | −0.00438691 | ||||||||
\(521\) | −30.8180 | −1.35016 | −0.675082 | − | 0.737743i | \(-0.735892\pi\) | ||||
−0.675082 | + | 0.737743i | \(0.735892\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.96954 | + | 6.16631i | −0.129849 | + | 0.269634i | −0.955750 | − | 0.294182i | \(-0.904953\pi\) |
0.825901 | + | 0.563816i | \(0.190667\pi\) | |||||||
\(524\) | −2.64752 | + | 3.31989i | −0.115658 | + | 0.145030i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −29.2289 | − | 36.6518i | −1.27444 | − | 1.59810i | ||||
\(527\) | −27.4947 | + | 6.27549i | −1.19769 | + | 0.273365i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.61255 | − | 3.18443i | −0.287502 | − | 0.138454i | ||||
\(530\) | 0.328638 | − | 0.412099i | 0.0142751 | − | 0.0179005i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 7.21064 | − | 19.6207i | 0.312621 | − | 0.850665i | ||||
\(533\) | −4.71719 | + | 9.79534i | −0.204324 | + | 0.424283i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.702560 | + | 0.160355i | 0.0303743 | + | 0.00693274i | ||||
\(536\) | 1.31387 | + | 2.72829i | 0.0567507 | + | 0.117844i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 14.6544i | − | 0.631795i | ||||||
\(539\) | 26.9015 | − | 11.9373i | 1.15873 | − | 0.514175i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 21.5628 | + | 27.0389i | 0.927058 | + | 1.16249i | 0.986417 | + | 0.164258i | \(0.0525229\pi\) |
−0.0593590 | + | 0.998237i | \(0.518906\pi\) | |||||||
\(542\) | −44.7158 | + | 21.5340i | −1.92071 | + | 0.924965i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −18.9441 | − | 39.3379i | −0.812223 | − | 1.68660i | ||||
\(545\) | 0.113110 | + | 0.0544711i | 0.00484512 | + | 0.00233329i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −25.1721 | + | 12.1223i | −1.07628 | + | 0.518311i | −0.886127 | − | 0.463443i | \(-0.846614\pi\) |
−0.190156 | + | 0.981754i | \(0.560899\pi\) | |||||||
\(548\) | 26.3228 | + | 20.9917i | 1.12445 | + | 0.896721i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 27.5977 | + | 34.6064i | 1.17677 | + | 1.47562i | ||||
\(551\) | −3.25908 | − | 14.2790i | −0.138842 | − | 0.608305i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.19200 | + | 17.0608i | −0.0932132 | + | 0.725500i | ||||
\(554\) | 10.8390 | + | 8.64378i | 0.460503 | + | 0.367239i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 9.30422 | − | 2.12363i | 0.394587 | − | 0.0900618i | ||||
\(557\) | − | 5.23531i | − | 0.221827i | −0.993830 | − | 0.110914i | \(-0.964622\pi\) | ||
0.993830 | − | 0.110914i | \(-0.0353777\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.8889 | + | 2.94180i | −0.545141 | + | 0.124425i | ||||
\(560\) | 0.0448192 | − | 0.348838i | 0.00189396 | − | 0.0147411i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.24786 | − | 36.1362i | 0.347915 | − | 1.52432i | ||||
\(563\) | −16.2541 | + | 20.3820i | −0.685030 | + | 0.859000i | −0.995807 | − | 0.0914829i | \(-0.970839\pi\) |
0.310777 | + | 0.950483i | \(0.399411\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.642257 | + | 0.146591i | 0.0270199 | + | 0.00616713i | ||||
\(566\) | −8.57266 | + | 37.5593i | −0.360336 | + | 1.57873i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.361923 | + | 1.58569i | 0.0151859 | + | 0.0665340i | ||||
\(569\) | 1.66695i | 0.0698821i | 0.999389 | + | 0.0349410i | \(0.0111243\pi\) | ||||
−0.999389 | + | 0.0349410i | \(0.988876\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.29827 | + | 23.2132i | 0.221726 | + | 0.971444i | 0.956179 | + | 0.292784i | \(0.0945817\pi\) |
−0.734453 | + | 0.678660i | \(0.762561\pi\) | |||||||
\(572\) | −22.1531 | − | 10.6684i | −0.926269 | − | 0.446068i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 21.1665 | + | 13.7644i | 0.883474 | + | 0.574516i | ||||
\(575\) | −15.4636 | + | 12.3318i | −0.644875 | + | 0.514271i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.70970 | − | 7.74322i | 0.404220 | − | 0.322355i | −0.400187 | − | 0.916434i | \(-0.631055\pi\) |
0.804407 | + | 0.594079i | \(0.202483\pi\) | |||||||
\(578\) | 11.5274 | − | 23.9369i | 0.479476 | − | 0.995643i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.216334 | + | 0.449222i | 0.00898278 | + | 0.0186529i | ||||
\(581\) | −7.77037 | − | 8.01637i | −0.322369 | − | 0.332575i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 20.9296 | − | 10.0792i | 0.866816 | − | 0.417437i | ||||
\(584\) | −2.10900 | + | 9.24013i | −0.0872711 | + | 0.382359i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 23.3303 | − | 18.6053i | 0.963767 | − | 0.768579i | ||||
\(587\) | 21.4652 | 0.885965 | 0.442983 | − | 0.896530i | \(-0.353920\pi\) | ||||
0.442983 | + | 0.896530i | \(0.353920\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.8020 | −0.692315 | ||||||||
\(590\) | −0.286264 | + | 0.228288i | −0.0117853 | + | 0.00939845i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.59031 | + | 11.3489i | −0.106461 | + | 0.466436i | ||||
\(593\) | −33.8713 | + | 16.3116i | −1.39093 | + | 0.669835i | −0.971299 | − | 0.237861i | \(-0.923554\pi\) |
−0.419628 | + | 0.907696i | \(0.637839\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.557459 | − | 0.338276i | 0.0228536 | − | 0.0138680i | ||||
\(596\) | 20.5108 | + | 42.5911i | 0.840156 | + | 1.74460i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.67938 | − | 18.0229i | 0.354926 | − | 0.737012i | ||||
\(599\) | 7.75286 | − | 6.18270i | 0.316773 | − | 0.252618i | −0.452175 | − | 0.891929i | \(-0.649352\pi\) |
0.768948 | + | 0.639311i | \(0.220780\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.01715 | + | 6.39346i | −0.327026 | + | 0.260795i | −0.773215 | − | 0.634144i | \(-0.781353\pi\) |
0.446188 | + | 0.894939i | \(0.352781\pi\) | |||||||
\(602\) | 2.96176 | + | 30.5588i | 0.120712 | + | 1.24548i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 14.8634 | + | 7.15785i | 0.604784 | + | 0.291249i | ||||
\(605\) | −0.0672940 | − | 0.294834i | −0.00273589 | − | 0.0119867i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.9849i | 0.689396i | 0.938714 | + | 0.344698i | \(0.112019\pi\) | ||||
−0.938714 | + | 0.344698i | \(0.887981\pi\) | |||||||
\(608\) | −5.78838 | − | 25.3605i | −0.234750 | − | 1.02851i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.266335 | − | 1.16689i | 0.0107836 | − | 0.0472460i | ||||
\(611\) | 21.7628 | + | 4.96721i | 0.880428 | + | 0.200952i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.39283 | − | 6.76240i | 0.217814 | − | 0.273131i | −0.660905 | − | 0.750470i | \(-0.729827\pi\) |
0.878719 | + | 0.477339i | \(0.158399\pi\) | |||||||
\(614\) | −4.07905 | + | 17.8715i | −0.164617 | + | 0.721235i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.58176 | + | 8.58347i | −0.224895 | + | 0.345838i | ||||
\(617\) | 43.4997 | − | 9.92853i | 1.75123 | − | 0.399707i | 0.777769 | − | 0.628550i | \(-0.216351\pi\) |
0.973463 | + | 0.228843i | \(0.0734941\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.47735i | 0.220153i | 0.993923 | + | 0.110077i | \(0.0351096\pi\) | ||||
−0.993923 | + | 0.110077i | \(0.964890\pi\) | |||||||
\(620\) | 0.557649 | − | 0.127280i | 0.0223957 | − | 0.00511168i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −24.1352 | − | 19.2472i | −0.967734 | − | 0.771742i | ||||
\(623\) | −19.2200 | − | 19.8285i | −0.770034 | − | 0.794413i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.55618 | − | 24.3432i | −0.222247 | − | 0.973728i | ||||
\(626\) | 31.4555 | + | 39.4440i | 1.25722 | + | 1.57650i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −35.2662 | − | 28.1239i | −1.40728 | − | 1.12227i | ||||
\(629\) | −19.4448 | + | 9.36411i | −0.775314 | + | 0.373371i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1.28289 | − | 0.617808i | −0.0510711 | − | 0.0245946i | 0.408174 | − | 0.912904i | \(-0.366166\pi\) |
−0.459245 | + | 0.888310i | \(0.651880\pi\) | |||||||
\(632\) | −2.59639 | − | 5.39145i | −0.103279 | − | 0.214460i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −39.9180 | + | 19.2235i | −1.58535 | + | 0.763462i | ||||
\(635\) | −0.0793941 | − | 0.0995571i | −0.00315066 | − | 0.00395080i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.3545 | − | 6.81341i | 0.608368 | − | 0.269957i | ||||
\(638\) | 40.0084i | 1.58395i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.141242 | + | 0.293292i | 0.00558309 | + | 0.0115934i | ||||
\(641\) | 3.57882 | + | 0.816841i | 0.141355 | + | 0.0322633i | 0.292613 | − | 0.956231i | \(-0.405475\pi\) |
−0.151258 | + | 0.988494i | \(0.548332\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.1942 | − | 33.6276i | 0.638636 | − | 1.32614i | −0.290667 | − | 0.956824i | \(-0.593877\pi\) |
0.929303 | − | 0.369317i | \(-0.120408\pi\) | |||||||
\(644\) | −21.3904 | − | 13.9100i | −0.842900 | − | 0.548131i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 23.1706 | − | 29.0550i | 0.911636 | − | 1.14316i | ||||
\(647\) | −13.8884 | − | 6.68832i | −0.546011 | − | 0.262945i | 0.140480 | − | 0.990084i | \(-0.455135\pi\) |
−0.686491 | + | 0.727139i | \(0.740850\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −15.7321 | + | 3.59076i | −0.617541 | + | 0.140950i | ||||
\(650\) | 15.7519 | + | 19.7522i | 0.617839 | + | 0.774745i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −29.0297 | + | 36.4021i | −1.13689 | + | 1.42562i | ||||
\(653\) | −20.8604 | + | 43.3171i | −0.816331 | + | 1.69513i | −0.102586 | + | 0.994724i | \(0.532712\pi\) |
−0.713745 | + | 0.700405i | \(0.753003\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.0789157 | −0.00308349 | ||||||||
\(656\) | 13.2975 | 0.519180 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 17.8820 | − | 48.6583i | 0.697114 | − | 1.89690i | ||||
\(659\) | 40.3489 | + | 9.20937i | 1.57177 | + | 0.358746i | 0.917569 | − | 0.397576i | \(-0.130149\pi\) |
0.654200 | + | 0.756322i | \(0.273006\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.63413 | + | 7.68296i | 0.374724 | + | 0.298832i | 0.792684 | − | 0.609633i | \(-0.208683\pi\) |
−0.417960 | + | 0.908466i | \(0.637255\pi\) | |||||||
\(662\) | −38.7037 | − | 30.8651i | −1.50426 | − | 1.19961i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.78654 | + | 0.864254i | 0.146946 | + | 0.0335396i | ||||
\(665\) | 0.368641 | − | 0.122580i | 0.0142953 | − | 0.00475346i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −17.8774 | −0.692215 | ||||||||
\(668\) | −25.5398 | −0.988166 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.136179 | + | 0.282779i | −0.00526105 | + | 0.0109247i | ||||
\(671\) | 32.8889 | − | 41.2414i | 1.26966 | − | 1.59211i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.0699 | + | 15.1352i | 0.465262 | + | 0.583420i | 0.958004 | − | 0.286756i | \(-0.0925768\pi\) |
−0.492742 | + | 0.870175i | \(0.664005\pi\) | |||||||
\(674\) | −44.8738 | + | 10.2422i | −1.72848 | + | 0.394513i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 15.8989 | + | 7.65650i | 0.611496 | + | 0.294481i | ||||
\(677\) | −9.63191 | + | 12.0780i | −0.370184 | + | 0.464196i | −0.931678 | − | 0.363284i | \(-0.881655\pi\) |
0.561494 | + | 0.827481i | \(0.310227\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −48.9561 | − | 6.28994i | −1.87876 | − | 0.241386i | ||||
\(680\) | −0.0984251 | + | 0.204382i | −0.00377443 | + | 0.00783769i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 44.7466 | + | 10.2131i | 1.71344 | + | 0.391081i | ||||
\(683\) | 11.6908 | + | 24.2761i | 0.447335 | + | 0.928901i | 0.995698 | + | 0.0926603i | \(0.0295371\pi\) |
−0.548363 | + | 0.836241i | \(0.684749\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.625708i | 0.0239071i | ||||||||
\(686\) | −11.1499 | − | 37.3839i | −0.425706 | − | 1.42732i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 10.0816 | + | 12.6420i | 0.384359 | + | 0.481971i | ||||
\(689\) | 11.9459 | − | 5.75287i | 0.455104 | − | 0.219167i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.65967 | − | 17.9820i | −0.329429 | − | 0.684067i | 0.668807 | − | 0.743436i | \(-0.266805\pi\) |
−0.998236 | + | 0.0593693i | \(0.981091\pi\) | |||||||
\(692\) | 14.7936 | + | 7.12421i | 0.562368 | + | 0.270822i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 67.1694 | − | 32.3471i | 2.54972 | − | 1.22788i | ||||
\(695\) | 0.138667 | + | 0.110583i | 0.00525995 | + | 0.00419467i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.3713 | + | 19.2750i | 0.582231 | + | 0.730094i | ||||
\(698\) | 11.2491 | + | 49.2857i | 0.425786 | + | 1.86549i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 27.5493 | − | 16.7174i | 1.04127 | − | 0.631859i | ||||
\(701\) | 28.7869 | + | 22.9568i | 1.08727 | + | 0.867067i | 0.991728 | − | 0.128359i | \(-0.0409708\pi\) |
0.0955398 | + | 0.995426i | \(0.469542\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12.5357 | + | 2.86120i | −0.472794 | + | 0.107912i | ||||
\(704\) | 46.3767i | 1.74789i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.425790 | − | 0.0971839i | 0.0160248 | − | 0.00365756i | ||||
\(707\) | 11.6525 | + | 35.0432i | 0.438239 | + | 1.31794i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.10242 | − | 9.21128i | 0.0789579 | − | 0.345937i | −0.919983 | − | 0.391959i | \(-0.871797\pi\) |
0.998940 | + | 0.0460223i | \(0.0146545\pi\) | |||||||
\(710\) | −0.105107 | + | 0.131800i | −0.00394459 | + | 0.00494636i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.36603 | + | 2.13774i | 0.351007 | + | 0.0801150i | ||||
\(713\) | −4.56365 | + | 19.9946i | −0.170910 | + | 0.748805i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.101683 | − | 0.445504i | −0.00380274 | − | 0.0166609i | ||||
\(716\) | − | 10.0760i | − | 0.376558i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.6164 | + | 55.2762i | 0.470841 | + | 2.06289i | ||||
\(719\) | −12.2377 | − | 5.89337i | −0.456390 | − | 0.219786i | 0.191541 | − | 0.981485i | \(-0.438651\pi\) |
−0.647931 | + | 0.761699i | \(0.724366\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 22.5908 | − | 7.51189i | 0.841327 | − | 0.279757i | ||||
\(722\) | −13.9799 | + | 11.1486i | −0.520280 | + | 0.414909i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −48.7958 | + | 38.9133i | −1.81348 | + | 1.44620i | ||||
\(725\) | 9.79636 | − | 20.3424i | 0.363828 | − | 0.755496i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.29005 | − | 19.2910i | −0.344549 | − | 0.715463i | 0.654631 | − | 0.755948i | \(-0.272824\pi\) |
−0.999180 | + | 0.0404853i | \(0.987110\pi\) | |||||||
\(728\) | −3.18589 | + | 4.89917i | −0.118077 | + | 0.181575i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.885058 | + | 0.426221i | −0.0327575 | + | 0.0157752i | ||||
\(731\) | −6.67092 | + | 29.2272i | −0.246733 | + | 1.08101i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.8010 | + | 10.2085i | −0.472817 | + | 0.377059i | −0.830711 | − | 0.556703i | \(-0.812066\pi\) |
0.357895 | + | 0.933762i | \(0.383495\pi\) | |||||||
\(734\) | −22.6419 | −0.835728 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −31.7516 | −1.17038 | ||||||||
\(737\) | −10.8146 | + | 8.62440i | −0.398363 | + | 0.317684i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.58037 | − | 6.92405i | 0.0581349 | − | 0.254705i | −0.937507 | − | 0.347967i | \(-0.886872\pi\) |
0.995642 | + | 0.0932615i | \(0.0297293\pi\) | |||||||
\(740\) | 0.394379 | − | 0.189923i | 0.0144977 | − | 0.00698171i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −9.71581 | − | 29.2188i | −0.356679 | − | 1.07266i | ||||
\(743\) | 9.88884 | + | 20.5344i | 0.362787 | + | 0.753334i | 0.999847 | − | 0.0174797i | \(-0.00556424\pi\) |
−0.637061 | + | 0.770814i | \(0.719850\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.381185 | + | 0.791540i | −0.0139656 | + | 0.0289998i | ||||
\(746\) | 50.4077 | − | 40.1988i | 1.84556 | − | 1.47178i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −43.5924 | + | 34.7638i | −1.59390 | + | 1.27109i | ||||
\(749\) | 30.2277 | − | 29.3001i | 1.10450 | − | 1.07060i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 44.7217 | + | 21.5368i | 1.63192 | + | 0.785890i | 0.999941 | + | 0.0109022i | \(0.00347033\pi\) |
0.631976 | + | 0.774988i | \(0.282244\pi\) | |||||||
\(752\) | −6.07537 | − | 26.6179i | −0.221546 | − | 0.970656i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 22.8355i | 0.831619i | ||||||||
\(755\) | 0.0682234 | + | 0.298906i | 0.00248290 | + | 0.0108783i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.89429 | − | 12.6807i | 0.105195 | − | 0.460888i | −0.894704 | − | 0.446659i | \(-0.852614\pi\) |
0.999899 | − | 0.0142286i | \(-0.00452926\pi\) | |||||||
\(758\) | −19.1444 | − | 4.36959i | −0.695357 | − | 0.158711i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.0842649 | + | 0.105665i | −0.00305661 | + | 0.00383287i | ||||
\(761\) | −2.16066 | + | 9.46649i | −0.0783240 | + | 0.343160i | −0.998873 | − | 0.0474677i | \(-0.984885\pi\) |
0.920549 | + | 0.390628i | \(0.127742\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.26989 | − | 3.80468i | 0.226985 | − | 0.137739i | ||||
\(764\) | −13.9369 | + | 3.18101i | −0.504220 | + | 0.115085i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 0.691389i | − | 0.0249809i | ||||||
\(767\) | −8.97940 | + | 2.04949i | −0.324227 | + | 0.0740028i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −35.1612 | − | 28.0401i | −1.26795 | − | 1.01115i | −0.998845 | − | 0.0480409i | \(-0.984702\pi\) |
−0.269100 | − | 0.963112i | \(-0.586726\pi\) | |||||||
\(770\) | −1.05626 | + | 0.102373i | −0.0380651 | + | 0.00368927i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.84645 | − | 12.4711i | −0.102446 | − | 0.448845i | ||||
\(773\) | 6.28500 | + | 7.88115i | 0.226056 | + | 0.283465i | 0.881905 | − | 0.471427i | \(-0.156261\pi\) |
−0.655849 | + | 0.754892i | \(0.727689\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −20.2508 | − | 16.1494i | −0.727429 | − | 0.580105i | ||||
\(776\) | 15.4708 | − | 7.45033i | 0.555368 | − | 0.267451i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −8.66527 | − | 4.17298i | −0.310665 | − | 0.149608i | ||||
\(779\) | 6.37294 | + | 13.2336i | 0.228334 | + | 0.474141i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.69382 | + | 3.22357i | −0.239524 | + | 0.115348i | ||||
\(782\) | −28.2825 | − | 35.4651i | −1.01138 | − | 1.26823i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −15.6565 | − | 13.3045i | −0.559161 | − | 0.475159i | ||||
\(785\) | − | 0.838300i | − | 0.0299202i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.29386 | + | 13.0693i | 0.224352 | + | 0.465872i | 0.982513 | − | 0.186196i | \(-0.0596160\pi\) |
−0.758161 | + | 0.652068i | \(0.773902\pi\) | |||||||
\(788\) | −39.9158 | − | 9.11052i | −1.42194 | − | 0.324549i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.269107 | − | 0.558807i | 0.00957440 | − | 0.0198815i | ||||
\(791\) | 27.6331 | − | 26.7851i | 0.982521 | − | 0.952370i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.7719 | − | 23.5393i | 0.666611 | − | 0.835904i | ||||
\(794\) | −36.2057 | − | 17.4358i | −1.28489 | − | 0.618772i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −56.2115 | + | 12.8299i | −1.99236 | + | 0.454744i | ||||
\(797\) | −5.19665 | − | 6.51640i | −0.184075 | − | 0.230823i | 0.681229 | − | 0.732071i | \(-0.261446\pi\) |
−0.865304 | + | 0.501248i | \(0.832874\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 31.5605 | − | 39.5756i | 1.11653 | − | 1.40008i | ||||
\(800\) | 17.3991 | − | 36.1296i | 0.615150 | − | 1.27737i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −15.9121 | −0.561875 | ||||||||
\(803\) | −43.2937 | −1.52780 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.0457446 | − | 0.471983i | −0.00161228 | − | 0.0166352i | ||||
\(806\) | 25.5399 | + | 5.82932i | 0.899606 | + | 0.205329i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −10.0446 | − | 8.01026i | −0.353366 | − | 0.281800i | ||||
\(809\) | −0.771178 | − | 0.614994i | −0.0271132 | − | 0.0216220i | 0.609839 | − | 0.792525i | \(-0.291234\pi\) |
−0.636953 | + | 0.770903i | \(0.719805\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.45346 | + | 0.331743i | 0.0510379 | + | 0.0116491i | 0.247964 | − | 0.968769i | \(-0.420239\pi\) |
−0.196926 | + | 0.980418i | \(0.563096\pi\) | |||||||
\(812\) | 28.8897 | + | 3.71178i | 1.01383 | + | 0.130258i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 35.1240 | 1.23110 | ||||||||
\(815\) | −0.865300 | −0.0303101 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.74949 | + | 16.0920i | −0.271120 | + | 0.562987i | ||||
\(818\) | 25.1813 | − | 31.5763i | 0.880442 | − | 1.10404i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.311762 | − | 0.390937i | −0.0108872 | − | 0.0136521i | ||||
\(821\) | 44.4855 | − | 10.1535i | 1.55256 | − | 0.354361i | 0.641657 | − | 0.766992i | \(-0.278247\pi\) |
0.910898 | + | 0.412631i | \(0.135390\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.8710 | − | 11.9773i | −0.866949 | − | 0.417501i | −0.0531086 | − | 0.998589i | \(-0.516913\pi\) |
−0.813841 | + | 0.581088i | \(0.802627\pi\) | |||||||
\(824\) | −5.16387 | + | 6.47528i | −0.179892 | + | 0.225577i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.06340 | + | 21.2897i | 0.0717947 | + | 0.740763i | ||||
\(827\) | −16.4862 | + | 34.2340i | −0.573283 | + | 1.19043i | 0.389718 | + | 0.920934i | \(0.372573\pi\) |
−0.963001 | + | 0.269499i | \(0.913142\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −24.4801 | − | 5.58742i | −0.850228 | − | 0.194059i | −0.224862 | − | 0.974391i | \(-0.572193\pi\) |
−0.625366 | + | 0.780332i | \(0.715050\pi\) | |||||||
\(830\) | 0.174663 | + | 0.362691i | 0.00606263 | + | 0.0125892i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 26.4703i | 0.917694i | ||||||||
\(833\) | 1.18688 | − | 38.0739i | 0.0411230 | − | 1.31918i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.295938 | − | 0.371095i | −0.0102414 | − | 0.0128423i | ||||
\(836\) | −29.9290 | + | 14.4131i | −1.03512 | + | 0.498486i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 18.2825 | + | 37.9640i | 0.631559 | + | 1.31145i | ||||
\(839\) | −45.6772 | − | 21.9970i | −1.57695 | − | 0.759419i | −0.578533 | − | 0.815659i | \(-0.696375\pi\) |
−0.998417 | + | 0.0562396i | \(0.982089\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.74118 | + | 3.72796i | −0.266937 | + | 0.128550i | ||||
\(842\) | −26.9926 | − | 21.5258i | −0.930225 | − | 0.741830i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 39.0894 | + | 49.0165i | 1.34551 | + | 1.68722i | ||||
\(845\) | 0.0729762 | + | 0.319730i | 0.00251046 | + | 0.0109990i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −16.5822 | − | 6.09400i | −0.569772 | − | 0.209392i | ||||
\(848\) | −12.6790 | − | 10.1111i | −0.435398 | − | 0.347218i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 55.8532 | − | 12.7481i | 1.91575 | − | 0.437257i | ||||
\(851\) | 15.6948i | 0.538012i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −11.5084 | + | 2.62671i | −0.394040 | + | 0.0899370i | −0.414950 | − | 0.909844i | \(-0.636201\pi\) |
0.0209100 | + | 0.999781i | \(0.493344\pi\) | |||||||
\(854\) | −48.6649 | − | 50.2055i | −1.66528 | − | 1.71800i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.25888 | + | 14.2781i | −0.111386 | + | 0.488015i | ||||
\(857\) | −0.143121 | + | 0.179468i | −0.00488892 | + | 0.00613051i | −0.784270 | − | 0.620420i | \(-0.786962\pi\) |
0.779381 | + | 0.626550i | \(0.215534\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.2180 | − | 3.47341i | −0.519231 | − | 0.118511i | −0.0451292 | − | 0.998981i | \(-0.514370\pi\) |
−0.474102 | + | 0.880470i | \(0.657227\pi\) | |||||||
\(860\) | 0.135300 | − | 0.592788i | 0.00461369 | − | 0.0202139i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.45752 | + | 19.5297i | 0.151824 | + | 0.665183i | ||||
\(863\) | 6.78962i | 0.231121i | 0.993300 | + | 0.115561i | \(0.0368665\pi\) | ||||
−0.993300 | + | 0.115561i | \(0.963134\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.0679028 | + | 0.297502i | 0.00230877 | + | 0.0101154i | ||||
\(866\) | −53.2649 | − | 25.6510i | −1.81001 | − | 0.871657i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 11.5262 | − | 31.3636i | 0.391224 | − | 1.06455i | ||||
\(869\) | 21.3711 | − | 17.0429i | 0.724966 | − | 0.578141i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.17265 | + | 4.92253i | −0.209152 | + | 0.166793i | ||||
\(872\) | −1.10701 | + | 2.29874i | −0.0374882 | + | 0.0778451i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −11.7259 | − | 24.3491i | −0.396634 | − | 0.823619i | ||||
\(875\) | 1.12449 | + | 0.413250i | 0.0380145 | + | 0.0139704i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −32.0655 | + | 15.4419i | −1.08277 | + | 0.521436i | −0.888203 | − | 0.459452i | \(-0.848046\pi\) |
−0.194571 | + | 0.980888i | \(0.562332\pi\) | |||||||
\(878\) | −13.4589 | + | 58.9674i | −0.454217 | + | 1.99005i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.436970 | + | 0.348472i | −0.0147303 | + | 0.0117470i | ||||
\(881\) | 45.8866 | 1.54596 | 0.772979 | − | 0.634432i | \(-0.218766\pi\) | ||||
0.772979 | + | 0.634432i | \(0.218766\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.9038 | −0.366941 | −0.183470 | − | 0.983025i | \(-0.558733\pi\) | ||||
−0.183470 | + | 0.983025i | \(0.558733\pi\) | |||||||
\(884\) | −24.8812 | + | 19.8421i | −0.836844 | + | 0.667361i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.930745 | + | 4.07786i | −0.0312690 | + | 0.136998i | ||||
\(887\) | 11.0313 | − | 5.31239i | 0.370395 | − | 0.178373i | −0.239421 | − | 0.970916i | \(-0.576958\pi\) |
0.609816 | + | 0.792543i | \(0.291243\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.40415 | + | 0.717610i | −0.248327 | + | 0.0240679i | ||||
\(890\) | 0.432029 | + | 0.897117i | 0.0144816 | + | 0.0300714i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 27.8379 | − | 57.8060i | 0.932082 | − | 1.93549i | ||||
\(893\) | 23.5783 | − | 18.8031i | 0.789017 | − | 0.629220i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.146405 | − | 0.116754i | 0.00489377 | − | 0.00390265i | ||||
\(896\) | 18.8618 | + | 2.42338i | 0.630127 | + | 0.0809595i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.23975 | − | 1.56018i | −0.108112 | − | 0.0520639i | ||||
\(899\) | −5.20963 | − | 22.8249i | −0.173751 | − | 0.761253i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 30.0665i | − | 1.00166i | ||||||
\(902\) | −8.92820 | − | 39.1170i | −0.297277 | − | 1.30245i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.97916 | + | 13.0526i | −0.0990854 | + | 0.434122i | ||||
\(905\) | −1.13082 | − | 0.258103i | −0.0375899 | − | 0.00857964i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.9653 | + | 20.0198i | −0.530118 | + | 0.664748i | −0.972723 | − | 0.231969i | \(-0.925483\pi\) |
0.442605 | + | 0.896717i | \(0.354055\pi\) | |||||||
\(908\) | 15.8088 | − | 69.2630i | 0.524634 | − | 2.29857i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.602882 | + | 0.0584313i | −0.0199853 | + | 0.00193698i | ||||
\(911\) | 23.6692 | − | 5.40234i | 0.784195 | − | 0.178987i | 0.188366 | − | 0.982099i | \(-0.439681\pi\) |
0.595829 | + | 0.803112i | \(0.296824\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 17.7415i | 0.587157i | ||||||||
\(914\) | 76.5519 | − | 17.4725i | 2.53211 | − | 0.577938i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.24080 | + | 3.38193i | 0.140120 | + | 0.111742i | ||||
\(917\) | −2.51324 | + | 3.86479i | −0.0829945 | + | 0.127627i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.0616 | + | 52.8454i | 0.397876 | + | 1.74321i | 0.635732 | + | 0.771910i | \(0.280698\pi\) |
−0.237856 | + | 0.971301i | \(0.576444\pi\) | |||||||
\(920\) | 0.102855 | + | 0.128976i | 0.00339104 | + | 0.00425222i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −18.5049 | − | 14.7571i | −0.609426 | − | 0.486001i | ||||
\(923\) | −3.82061 | + | 1.83991i | −0.125757 | + | 0.0605614i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −17.8589 | − | 8.60038i | −0.587196 | − | 0.282779i | ||||
\(926\) | 3.11031 | + | 6.45864i | 0.102211 | + | 0.212244i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 32.6566 | − | 15.7266i | 1.07200 | − | 0.516250i | ||||
\(929\) | 25.7657 | + | 32.3091i | 0.845345 | + | 1.06003i | 0.997429 | + | 0.0716612i | \(0.0228300\pi\) |
−0.152084 | + | 0.988368i | \(0.548599\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.73697 | − | 21.9575i | 0.188021 | − | 0.719629i | ||||
\(932\) | − | 1.41085i | − | 0.0462139i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 30.1435 | + | 62.5937i | 0.986327 | + | 2.04813i | ||||
\(935\) | −1.01024 | − | 0.230580i | −0.0330383 | − | 0.00754078i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.25761 | + | 12.9941i | −0.204427 | + | 0.424497i | −0.977825 | − | 0.209424i | \(-0.932841\pi\) |
0.773398 | + | 0.633921i | \(0.218556\pi\) | |||||||
\(938\) | 9.51178 | + | 15.6749i | 0.310571 | + | 0.511803i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.640111 | + | 0.802674i | −0.0208781 | + | 0.0261803i | ||||
\(941\) | −37.2078 | − | 17.9183i | −1.21294 | − | 0.584120i | −0.285602 | − | 0.958348i | \(-0.592193\pi\) |
−0.927337 | + | 0.374228i | \(0.877908\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 17.4791 | − | 3.98949i | 0.569198 | − | 0.129916i | ||||
\(944\) | 7.02367 | + | 8.80741i | 0.228601 | + | 0.286657i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 30.4197 | − | 38.1451i | 0.989030 | − | 1.24020i | ||||
\(947\) | 1.38334 | − | 2.87254i | 0.0449525 | − | 0.0933449i | −0.877283 | − | 0.479974i | \(-0.840646\pi\) |
0.922235 | + | 0.386629i | \(0.126361\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −24.7106 | −0.802141 | ||||||||
\(950\) | 34.1318 | 1.10738 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.87476 | + | 11.3292i | 0.222812 | + | 0.367182i | ||||
\(953\) | 39.8186 | + | 9.08833i | 1.28985 | + | 0.294400i | 0.811802 | − | 0.583933i | \(-0.198487\pi\) |
0.478049 | + | 0.878333i | \(0.341344\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.207712 | − | 0.165644i | −0.00672139 | − | 0.00536013i | ||||
\(956\) | −40.0413 | − | 31.9319i | −1.29503 | − | 1.03275i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −24.8452 | − | 5.67076i | −0.802713 | − | 0.183214i | ||||
\(959\) | 30.6432 | + | 19.9270i | 0.989520 | + | 0.643477i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.14204 | 0.133614 | ||||||||
\(962\) | 20.0476 | 0.646362 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.1957 | + | 29.4776i | −0.457211 | + | 0.949409i | ||||
\(965\) | 0.148223 | − | 0.185866i | 0.00477147 | − | 0.00598323i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.8538 | + | 32.4196i | 0.831401 | + | 1.04254i | 0.998398 | + | 0.0565869i | \(0.0180218\pi\) |
−0.166996 | + | 0.985958i | \(0.553407\pi\) | |||||||
\(968\) | 5.99190 | − | 1.36761i | 0.192587 | − | 0.0439567i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.60350 | + | 0.772204i | 0.0514852 | + | 0.0247940i | ||||
\(971\) | 8.63760 | − | 10.8312i | 0.277194 | − | 0.347590i | −0.623673 | − | 0.781685i | \(-0.714360\pi\) |
0.900867 | + | 0.434095i | \(0.142932\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 9.83183 | − | 3.26927i | 0.315194 | − | 0.104808i | ||||
\(974\) | −5.75814 | + | 11.9569i | −0.184503 | + | 0.383124i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −35.9015 | − | 8.19427i | −1.14918 | − | 0.262292i | ||||
\(977\) | −15.3577 | − | 31.8906i | −0.491336 | − | 1.02027i | −0.988303 | − | 0.152500i | \(-0.951268\pi\) |
0.496968 | − | 0.867769i | \(-0.334447\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 43.8836i | 1.40253i | ||||||||
\(980\) | −0.0240724 | + | 0.772217i | −0.000768963 | + | 0.0246676i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.00251905 | + | 0.00315879i | 8.03862e−5 | + | 0.000100801i | ||||
\(983\) | 14.0392 | − | 6.76090i | 0.447780 | − | 0.215639i | −0.196384 | − | 0.980527i | \(-0.562920\pi\) |
0.644164 | + | 0.764888i | \(0.277206\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.330141 | − | 0.685544i | −0.0105192 | − | 0.0218432i | ||||
\(986\) | 46.6544 | + | 22.4676i | 1.48578 | + | 0.715514i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −17.0825 | + | 8.22650i | −0.543467 | + | 0.261720i | ||||
\(989\) | 17.0448 | + | 13.5928i | 0.541994 | + | 0.432225i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −11.1124 | − | 13.9345i | −0.352997 | − | 0.442644i | 0.573353 | − | 0.819309i | \(-0.305642\pi\) |
−0.926350 | + | 0.376664i | \(0.877071\pi\) | |||||||
\(992\) | −9.25270 | − | 40.5387i | −0.293773 | − | 1.28711i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.10736 | + | 9.34491i | 0.0985595 | + | 0.296402i | ||||
\(995\) | −0.837759 | − | 0.668091i | −0.0265587 | − | 0.0211799i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 39.3968 | − | 8.99207i | 1.24771 | − | 0.284782i | 0.452857 | − | 0.891583i | \(-0.350405\pi\) |
0.794853 | + | 0.606802i | \(0.207548\pi\) | |||||||
\(998\) | 15.6402i | 0.495083i | ||||||||
\(999\) | 0 | 0 |
(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 | 441.2.w.a.188.3 | ✓ | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.188.18 | yes | 120 | |
49.6 | odd | 14 | inner | 441.2.w.a.251.18 | yes | 120 | |
147.104 | even | 14 | inner | 441.2.w.a.251.3 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.188.3 | ✓ | 120 | 1.1 | even | 1 | trivial | |
441.2.w.a.188.18 | yes | 120 | 3.2 | odd | 2 | inner | |
441.2.w.a.251.3 | yes | 120 | 147.104 | even | 14 | inner | |
441.2.w.a.251.18 | yes | 120 | 49.6 | odd | 14 | inner |