Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [387,2,Mod(208,387)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(387, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("387.208");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 387 = 3^{2} \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 387.h (of order \(3\), degree \(2\), 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: | \(3.09021055822\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 11x^{10} + 89x^{8} + 314x^{6} + 815x^{4} + 608x^{2} + 361 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 208.2 | ||
Root | \(0.953356 - 1.65126i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 387.208 |
Dual form | 387.2.h.g.307.2 |
$q$-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 \(\left(\mathbb{Z}/387\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(173\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.90671 | −1.34825 | −0.674125 | − | 0.738618i | \(-0.735479\pi\) | ||||
−0.674125 | + | 0.738618i | \(0.735479\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.63555 | 0.817776 | ||||||||
\(5\) | 0.795331 | + | 1.37755i | 0.355683 | + | 0.616061i | 0.987235 | − | 0.159273i | \(-0.0509150\pi\) |
−0.631552 | + | 0.775334i | \(0.717582\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.01647 | − | 3.49262i | 0.762153 | − | 1.32009i | −0.179586 | − | 0.983742i | \(-0.557476\pi\) |
0.941739 | − | 0.336345i | \(-0.109191\pi\) | |||||||
\(8\) | 0.694898 | 0.245683 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.51647 | − | 2.62660i | −0.479549 | − | 0.830603i | ||||
\(11\) | −4.19227 | −1.26402 | −0.632009 | − | 0.774961i | \(-0.717769\pi\) | ||||
−0.632009 | + | 0.774961i | \(0.717769\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.417122 | − | 0.722476i | 0.115689 | − | 0.200379i | −0.802366 | − | 0.596832i | \(-0.796426\pi\) |
0.918055 | + | 0.396453i | \(0.129759\pi\) | |||||||
\(14\) | −3.84482 | + | 6.65943i | −1.02757 | + | 1.77981i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.59607 | −1.14902 | ||||||||
\(17\) | 2.09614 | − | 3.63061i | 0.508388 | − | 0.880553i | −0.491565 | − | 0.870841i | \(-0.663575\pi\) |
0.999953 | − | 0.00971242i | \(-0.00309161\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.38092 | + | 5.85592i | 0.775635 | + | 1.34344i | 0.934437 | + | 0.356129i | \(0.115904\pi\) |
−0.158802 | + | 0.987311i | \(0.550763\pi\) | |||||||
\(20\) | 1.30080 | + | 2.25306i | 0.290869 | + | 0.503800i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 7.99346 | 1.70421 | ||||||||
\(23\) | 0.158025 | + | 0.273708i | 0.0329505 | + | 0.0570720i | 0.882030 | − | 0.471192i | \(-0.156176\pi\) |
−0.849080 | + | 0.528265i | \(0.822843\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.23490 | − | 2.13891i | 0.246980 | − | 0.427781i | ||||
\(26\) | −0.795331 | + | 1.37755i | −0.155977 | + | 0.270160i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.29804 | − | 5.71237i | 0.623270 | − | 1.07954i | ||||
\(29\) | 5.24606 | − | 9.08644i | 0.974169 | − | 1.68731i | 0.291519 | − | 0.956565i | \(-0.405839\pi\) |
0.682650 | − | 0.730745i | \(-0.260827\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.61581 | − | 4.53072i | −0.469814 | − | 0.813741i | 0.529590 | − | 0.848253i | \(-0.322346\pi\) |
−0.999404 | + | 0.0345120i | \(0.989012\pi\) | |||||||
\(32\) | 7.37360 | 1.30348 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.99673 | + | 6.92254i | −0.685433 | + | 1.18721i | ||||
\(35\) | 6.41503 | 1.08434 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.298037 | − | 0.516215i | −0.0489970 | − | 0.0848652i | 0.840487 | − | 0.541832i | \(-0.182269\pi\) |
−0.889484 | + | 0.456967i | \(0.848936\pi\) | |||||||
\(38\) | −6.44643 | − | 11.1655i | −1.04575 | − | 1.81129i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.552674 | + | 0.957259i | 0.0873854 | + | 0.151356i | ||||
\(41\) | 2.48643 | 0.388314 | 0.194157 | − | 0.980970i | \(-0.437803\pi\) | ||||
0.194157 | + | 0.980970i | \(0.437803\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.06914 | + | 2.48305i | 0.925535 | + | 0.378661i | ||||
\(44\) | −6.85668 | −1.03368 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.301309 | − | 0.521882i | −0.0444256 | − | 0.0769473i | ||||
\(47\) | 3.11853 | 0.454884 | 0.227442 | − | 0.973792i | \(-0.426964\pi\) | ||||
0.227442 | + | 0.973792i | \(0.426964\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.63228 | − | 8.02334i | −0.661754 | − | 1.14619i | ||||
\(50\) | −2.35459 | + | 4.07828i | −0.332990 | + | 0.576755i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.682224 | − | 1.18165i | 0.0946075 | − | 0.163865i | ||||
\(53\) | −2.54402 | − | 4.40637i | −0.349448 | − | 0.605261i | 0.636704 | − | 0.771109i | \(-0.280297\pi\) |
−0.986151 | + | 0.165847i | \(0.946964\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.33424 | − | 5.77508i | −0.449589 | − | 0.778711i | ||||
\(56\) | 1.40124 | − | 2.42702i | 0.187248 | − | 0.324324i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −10.0027 | + | 17.3252i | −1.31342 | + | 2.27491i | ||||
\(59\) | 10.6073 | 1.38095 | 0.690477 | − | 0.723355i | \(-0.257401\pi\) | ||||
0.690477 | + | 0.723355i | \(0.257401\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.56914 | − | 7.91398i | 0.585019 | − | 1.01328i | −0.409855 | − | 0.912151i | \(-0.634421\pi\) |
0.994873 | − | 0.101131i | \(-0.0322461\pi\) | |||||||
\(62\) | 4.98760 | + | 8.63878i | 0.633426 | + | 1.09713i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.86718 | −0.608397 | ||||||||
\(65\) | 1.32700 | 0.164594 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.68495 | + | 9.84663i | 0.694528 | + | 1.20296i | 0.970340 | + | 0.241746i | \(0.0777199\pi\) |
−0.275812 | + | 0.961212i | \(0.588947\pi\) | |||||||
\(68\) | 3.42834 | − | 5.93806i | 0.415747 | − | 0.720095i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −12.2316 | −1.46196 | ||||||||
\(71\) | −4.50832 | + | 7.80864i | −0.535039 | + | 0.926715i | 0.464122 | + | 0.885771i | \(0.346370\pi\) |
−0.999161 | + | 0.0409442i | \(0.986963\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.61581 | + | 4.53072i | −0.306158 | + | 0.530281i | −0.977518 | − | 0.210850i | \(-0.932377\pi\) |
0.671361 | + | 0.741131i | \(0.265710\pi\) | |||||||
\(74\) | 0.568271 | + | 0.984273i | 0.0660601 | + | 0.114419i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.52966 | + | 9.57766i | 0.634296 | + | 1.09863i | ||||
\(77\) | −8.45358 | + | 14.6420i | −0.963375 | + | 1.66861i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.18823 | + | 3.79012i | −0.246195 | + | 0.426422i | −0.962467 | − | 0.271399i | \(-0.912514\pi\) |
0.716272 | + | 0.697821i | \(0.245847\pi\) | |||||||
\(80\) | −3.65540 | − | 6.33134i | −0.408686 | − | 0.707865i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.74090 | −0.523545 | ||||||||
\(83\) | −1.69110 | − | 2.92906i | −0.185622 | − | 0.321506i | 0.758164 | − | 0.652064i | \(-0.226097\pi\) |
−0.943786 | + | 0.330557i | \(0.892763\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.66849 | 0.723299 | ||||||||
\(86\) | −11.5721 | − | 4.73446i | −1.24785 | − | 0.510530i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.91320 | −0.310548 | ||||||||
\(89\) | −5.20322 | − | 9.01224i | −0.551540 | − | 0.955296i | −0.998164 | − | 0.0605737i | \(-0.980707\pi\) |
0.446624 | − | 0.894722i | \(-0.352626\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.68222 | − | 2.91370i | −0.176345 | − | 0.305438i | ||||
\(92\) | 0.258459 | + | 0.447663i | 0.0269462 | + | 0.0466721i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.94613 | −0.613297 | ||||||||
\(95\) | −5.37789 | + | 9.31478i | −0.551760 | + | 0.955677i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.563139 | 0.0571781 | 0.0285891 | − | 0.999591i | \(-0.490899\pi\) | ||||
0.0285891 | + | 0.999591i | \(0.490899\pi\) | |||||||
\(98\) | 8.83243 | + | 15.2982i | 0.892210 | + | 1.54535i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.01974 | − | 3.49829i | 0.201974 | − | 0.349829i | ||||
\(101\) | −5.11943 | + | 8.86712i | −0.509403 | + | 0.882311i | 0.490538 | + | 0.871420i | \(0.336800\pi\) |
−0.999941 | + | 0.0108916i | \(0.996533\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.27830 | + | 12.6064i | −0.717152 | + | 1.24214i | 0.244972 | + | 0.969530i | \(0.421221\pi\) |
−0.962124 | + | 0.272613i | \(0.912112\pi\) | |||||||
\(104\) | 0.289857 | − | 0.502047i | 0.0284228 | − | 0.0492297i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.85071 | + | 8.40168i | 0.471143 | + | 0.816043i | ||||
\(107\) | −7.36319 | −0.711826 | −0.355913 | − | 0.934519i | \(-0.615830\pi\) | ||||
−0.355913 | + | 0.934519i | \(0.615830\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.28103 | − | 14.3432i | −0.793179 | − | 1.37383i | −0.923989 | − | 0.382418i | \(-0.875091\pi\) |
0.130811 | − | 0.991407i | \(-0.458242\pi\) | |||||||
\(110\) | 6.35744 | + | 11.0114i | 0.606158 | + | 1.04990i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.26783 | + | 16.0524i | −0.875728 | + | 1.51681i | ||||
\(113\) | −7.74203 | −0.728309 | −0.364155 | − | 0.931339i | \(-0.618642\pi\) | ||||
−0.364155 | + | 0.931339i | \(0.618642\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.251365 | + | 0.435377i | −0.0234399 | + | 0.0405991i | ||||
\(116\) | 8.58021 | − | 14.8614i | 0.796652 | − | 1.37984i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −20.2251 | −1.86187 | ||||||||
\(119\) | −8.45358 | − | 14.6420i | −0.774938 | − | 1.34223i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.57514 | 0.597740 | ||||||||
\(122\) | −8.71204 | + | 15.0897i | −0.788751 | + | 1.36616i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.27830 | − | 7.41023i | −0.384202 | − | 0.665458i | ||||
\(125\) | 11.8819 | 1.06275 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.927587 | 0.0823101 | 0.0411550 | − | 0.999153i | \(-0.486896\pi\) | ||||
0.0411550 | + | 0.999153i | \(0.486896\pi\) | |||||||
\(128\) | −5.46688 | −0.483209 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.53020 | −0.221914 | ||||||||
\(131\) | 12.2608 | 1.07123 | 0.535614 | − | 0.844463i | \(-0.320080\pi\) | ||||
0.535614 | + | 0.844463i | \(0.320080\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 27.2700 | 2.36461 | ||||||||
\(134\) | −10.8396 | − | 18.7747i | −0.936396 | − | 1.62189i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.45660 | − | 2.52290i | 0.124902 | − | 0.216337i | ||||
\(137\) | −11.4403 | −0.977409 | −0.488704 | − | 0.872449i | \(-0.662530\pi\) | ||||
−0.488704 | + | 0.872449i | \(0.662530\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.08888 | − | 1.88600i | −0.0923576 | − | 0.159968i | 0.816145 | − | 0.577847i | \(-0.196107\pi\) |
−0.908503 | + | 0.417879i | \(0.862774\pi\) | |||||||
\(140\) | 10.4921 | 0.886746 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.59607 | − | 14.8888i | 0.721366 | − | 1.24944i | ||||
\(143\) | −1.74869 | + | 3.02881i | −0.146233 | + | 0.253282i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 16.6894 | 1.38598 | ||||||||
\(146\) | 4.98760 | − | 8.63878i | 0.412777 | − | 0.714951i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.487455 | − | 0.844296i | −0.0400685 | − | 0.0694007i | ||||
\(149\) | 4.37649 | + | 7.58030i | 0.358536 | + | 0.621003i | 0.987717 | − | 0.156257i | \(-0.0499427\pi\) |
−0.629180 | + | 0.777259i | \(0.716609\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −20.4633 | −1.66528 | −0.832638 | − | 0.553818i | \(-0.813170\pi\) | ||||
−0.832638 | + | 0.553818i | \(0.813170\pi\) | |||||||
\(152\) | 2.34939 | + | 4.06926i | 0.190561 | + | 0.330061i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 16.1185 | − | 27.9181i | 1.29887 | − | 2.24971i | ||||
\(155\) | 4.16087 | − | 7.20684i | 0.334209 | − | 0.578868i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.29804 | + | 2.24827i | −0.103595 | + | 0.179431i | −0.913163 | − | 0.407594i | \(-0.866368\pi\) |
0.809569 | + | 0.587025i | \(0.199701\pi\) | |||||||
\(158\) | 4.17232 | − | 7.22666i | 0.331932 | − | 0.574923i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.86445 | + | 10.1575i | 0.463625 | + | 0.803023i | ||||
\(161\) | 1.27461 | 0.100453 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.84744 | − | 17.0563i | 0.771311 | − | 1.33595i | −0.165534 | − | 0.986204i | \(-0.552935\pi\) |
0.936845 | − | 0.349746i | \(-0.113732\pi\) | |||||||
\(164\) | 4.06668 | 0.317554 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.22443 | + | 5.58488i | 0.250264 | + | 0.433471i | ||||
\(167\) | 7.97950 | + | 13.8209i | 0.617472 | + | 1.06949i | 0.989945 | + | 0.141451i | \(0.0451766\pi\) |
−0.372473 | + | 0.928043i | \(0.621490\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.15202 | + | 10.6556i | 0.473232 | + | 0.819662i | ||||
\(170\) | −12.7149 | −0.975187 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.92639 | + | 4.06116i | 0.756881 | + | 0.309660i | ||||
\(173\) | 18.5502 | 1.41035 | 0.705173 | − | 0.709035i | \(-0.250869\pi\) | ||||
0.705173 | + | 0.709035i | \(0.250869\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.98026 | − | 8.62606i | −0.376472 | − | 0.652069i | ||||
\(176\) | 19.2680 | 1.45238 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.92104 | + | 17.1838i | 0.743614 | + | 1.28798i | ||||
\(179\) | −0.953356 | + | 1.65126i | −0.0712572 | + | 0.123421i | −0.899453 | − | 0.437018i | \(-0.856034\pi\) |
0.828195 | + | 0.560440i | \(0.189368\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.37491 | + | 2.38142i | −0.102197 | + | 0.177010i | −0.912589 | − | 0.408877i | \(-0.865920\pi\) |
0.810393 | + | 0.585887i | \(0.199254\pi\) | |||||||
\(182\) | 3.20752 | + | 5.55558i | 0.237757 | + | 0.411807i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.109811 | + | 0.190199i | 0.00809540 | + | 0.0140216i | ||||
\(185\) | 0.474076 | − | 0.821123i | 0.0348547 | − | 0.0603702i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.78757 | + | 15.2205i | −0.642611 | + | 1.11303i | ||||
\(188\) | 5.10051 | 0.371993 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 10.2541 | − | 17.7606i | 0.743910 | − | 1.28849i | ||||
\(191\) | −4.67155 | − | 8.09137i | −0.338022 | − | 0.585471i | 0.646039 | − | 0.763304i | \(-0.276424\pi\) |
−0.984061 | + | 0.177834i | \(0.943091\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.46325 | 0.681180 | 0.340590 | − | 0.940212i | \(-0.389373\pi\) | ||||
0.340590 | + | 0.940212i | \(0.389373\pi\) | |||||||
\(194\) | −1.07374 | −0.0770904 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −7.57633 | − | 13.1226i | −0.541167 | − | 0.937328i | ||||
\(197\) | −10.2285 | + | 17.7162i | −0.728748 | + | 1.26223i | 0.228665 | + | 0.973505i | \(0.426564\pi\) |
−0.957413 | + | 0.288723i | \(0.906769\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.9330 | −0.845911 | −0.422956 | − | 0.906150i | \(-0.639007\pi\) | ||||
−0.422956 | + | 0.906150i | \(0.639007\pi\) | |||||||
\(200\) | 0.858127 | − | 1.48632i | 0.0606788 | − | 0.105099i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 9.76129 | − | 16.9070i | 0.686802 | − | 1.18958i | ||||
\(203\) | −21.1570 | − | 36.6450i | −1.48493 | − | 2.57198i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.97753 | + | 3.42518i | 0.138117 | + | 0.239225i | ||||
\(206\) | 13.8776 | − | 24.0367i | 0.966900 | − | 1.67472i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.91712 | + | 3.32055i | −0.132928 | + | 0.230239i | ||||
\(209\) | −14.1737 | − | 24.5496i | −0.980416 | − | 1.69813i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −16.1712 | −1.11327 | −0.556636 | − | 0.830756i | \(-0.687908\pi\) | ||||
−0.556636 | + | 0.830756i | \(0.687908\pi\) | |||||||
\(212\) | −4.16087 | − | 7.20684i | −0.285770 | − | 0.494968i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 14.0395 | 0.959719 | ||||||||
\(215\) | 1.40644 | + | 10.3354i | 0.0959186 | + | 0.704869i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −21.0988 | −1.43228 | ||||||||
\(218\) | 15.7895 | + | 27.3483i | 1.06940 | + | 1.85226i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.45333 | − | 9.44544i | −0.367663 | − | 0.636812i | ||||
\(221\) | −1.74869 | − | 3.02881i | −0.117629 | − | 0.203740i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.1658 | −1.35040 | −0.675199 | − | 0.737635i | \(-0.735942\pi\) | ||||
−0.675199 | + | 0.737635i | \(0.735942\pi\) | |||||||
\(224\) | 14.8686 | − | 25.7532i | 0.993451 | − | 1.72071i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 14.7618 | 0.981942 | ||||||||
\(227\) | 12.3988 | + | 21.4754i | 0.822940 | + | 1.42537i | 0.903484 | + | 0.428622i | \(0.141001\pi\) |
−0.0805443 | + | 0.996751i | \(0.525666\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.5027 | − | 19.9233i | 0.760122 | − | 1.31657i | −0.182666 | − | 0.983175i | \(-0.558473\pi\) |
0.942787 | − | 0.333394i | \(-0.108194\pi\) | |||||||
\(230\) | 0.479280 | − | 0.830138i | 0.0316028 | − | 0.0547377i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.64548 | − | 6.31415i | 0.239337 | − | 0.414544i | ||||
\(233\) | −12.9933 | + | 22.5051i | −0.851219 | + | 1.47436i | 0.0288892 | + | 0.999583i | \(0.490803\pi\) |
−0.880109 | + | 0.474772i | \(0.842530\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.48026 | + | 4.29594i | 0.161794 | + | 0.280236i | ||||
\(236\) | 17.3488 | 1.12931 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 16.1185 | + | 27.9181i | 1.04481 | + | 1.80966i | ||||
\(239\) | 1.77488 | + | 3.07418i | 0.114807 | + | 0.198852i | 0.917703 | − | 0.397268i | \(-0.130042\pi\) |
−0.802895 | + | 0.596120i | \(0.796708\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.48026 | − | 6.02799i | 0.224183 | − | 0.388297i | −0.731891 | − | 0.681422i | \(-0.761362\pi\) |
0.956074 | + | 0.293125i | \(0.0946952\pi\) | |||||||
\(242\) | −12.5369 | −0.805903 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.47307 | − | 12.9437i | 0.478414 | − | 0.828638i | ||||
\(245\) | 7.36839 | − | 12.7624i | 0.470749 | − | 0.815362i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.64101 | 0.358929 | ||||||||
\(248\) | −1.81772 | − | 3.14839i | −0.115425 | − | 0.199923i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −22.6554 | −1.43285 | ||||||||
\(251\) | −15.6064 | + | 27.0310i | −0.985064 | + | 1.70618i | −0.343413 | + | 0.939184i | \(0.611583\pi\) |
−0.641651 | + | 0.766997i | \(0.721750\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.662485 | − | 1.14746i | −0.0416501 | − | 0.0721400i | ||||
\(254\) | −1.76864 | −0.110974 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 20.1581 | 1.25988 | ||||||||
\(257\) | 27.8409 | 1.73667 | 0.868335 | − | 0.495979i | \(-0.165191\pi\) | ||||
0.868335 | + | 0.495979i | \(0.165191\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.40393 | −0.149373 | ||||||||
\(260\) | 2.17038 | 0.134601 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −23.3778 | −1.44428 | ||||||||
\(263\) | −11.4979 | − | 19.9149i | −0.708989 | − | 1.22800i | −0.965233 | − | 0.261392i | \(-0.915818\pi\) |
0.256244 | − | 0.966612i | \(-0.417515\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.04667 | − | 7.00904i | 0.248585 | − | 0.430562i | ||||
\(266\) | −51.9961 | −3.18808 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.29804 | + | 16.1047i | 0.567968 | + | 0.983749i | ||||
\(269\) | −18.3826 | −1.12081 | −0.560405 | − | 0.828219i | \(-0.689354\pi\) | ||||
−0.560405 | + | 0.828219i | \(0.689354\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.82051 | + | 3.15321i | −0.110588 | + | 0.191544i | −0.916007 | − | 0.401161i | \(-0.868607\pi\) |
0.805420 | + | 0.592705i | \(0.201940\pi\) | |||||||
\(272\) | −9.63399 | + | 16.6866i | −0.584147 | + | 1.01177i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 21.8133 | 1.31779 | ||||||||
\(275\) | −5.17703 | + | 8.96687i | −0.312186 | + | 0.540723i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.96379 | + | 12.0616i | 0.418414 | + | 0.724714i | 0.995780 | − | 0.0917713i | \(-0.0292529\pi\) |
−0.577366 | + | 0.816485i | \(0.695920\pi\) | |||||||
\(278\) | 2.07618 | + | 3.59605i | 0.124521 | + | 0.215677i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.45779 | 0.266404 | ||||||||
\(281\) | 13.4360 | + | 23.2718i | 0.801523 | + | 1.38828i | 0.918613 | + | 0.395158i | \(0.129310\pi\) |
−0.117090 | + | 0.993121i | \(0.537357\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.43959 | + | 2.49344i | −0.0855748 | + | 0.148220i | −0.905636 | − | 0.424056i | \(-0.860606\pi\) |
0.820061 | + | 0.572276i | \(0.193939\pi\) | |||||||
\(284\) | −7.37360 | + | 12.7714i | −0.437542 | + | 0.757846i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.33424 | − | 5.77508i | 0.197158 | − | 0.341488i | ||||
\(287\) | 5.01380 | − | 8.68415i | 0.295955 | − | 0.512609i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.287571 | − | 0.498088i | −0.0169159 | − | 0.0292993i | ||||
\(290\) | −31.8219 | −1.86865 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.27830 | + | 7.41023i | −0.250368 | + | 0.433651i | ||||
\(293\) | −19.5820 | −1.14399 | −0.571996 | − | 0.820257i | \(-0.693831\pi\) | ||||
−0.571996 | + | 0.820257i | \(0.693831\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 8.43632 | + | 14.6121i | 0.491181 | + | 0.850751i | ||||
\(296\) | −0.207105 | − | 0.358717i | −0.0120377 | − | 0.0208500i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8.34471 | − | 14.4535i | −0.483396 | − | 0.837266i | ||||
\(299\) | 0.263663 | 0.0152480 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 20.9106 | − | 16.1902i | 1.20527 | − | 0.933190i | ||||
\(302\) | 39.0175 | 2.24521 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −15.5389 | − | 26.9142i | −0.891219 | − | 1.54364i | ||||
\(305\) | 14.5359 | 0.832324 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.24809 | + | 7.35791i | 0.242451 | + | 0.419938i | 0.961412 | − | 0.275113i | \(-0.0887151\pi\) |
−0.718961 | + | 0.695051i | \(0.755382\pi\) | |||||||
\(308\) | −13.8263 | + | 23.9478i | −0.787825 | + | 1.36455i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.93359 | + | 13.7414i | −0.450598 | + | 0.780458i | ||||
\(311\) | −5.72014 | − | 9.90757i | −0.324359 | − | 0.561807i | 0.657023 | − | 0.753870i | \(-0.271815\pi\) |
−0.981382 | + | 0.192064i | \(0.938482\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.11308 | − | 7.12407i | −0.232485 | − | 0.402676i | 0.726054 | − | 0.687638i | \(-0.241352\pi\) |
−0.958539 | + | 0.284962i | \(0.908019\pi\) | |||||||
\(314\) | 2.47498 | − | 4.28680i | 0.139671 | − | 0.241918i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.57896 | + | 6.19893i | −0.201332 | + | 0.348717i | ||||
\(317\) | 15.4945 | 0.870256 | 0.435128 | − | 0.900368i | \(-0.356703\pi\) | ||||
0.435128 | + | 0.900368i | \(0.356703\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −21.9929 | + | 38.0928i | −1.23137 | + | 2.13279i | ||||
\(320\) | −3.87102 | − | 6.70480i | −0.216396 | − | 0.374810i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.43032 | −0.135436 | ||||||||
\(323\) | 28.3474 | 1.57729 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.03020 | − | 1.78437i | −0.0571455 | − | 0.0989789i | ||||
\(326\) | −18.7762 | + | 32.5214i | −1.03992 | + | 1.80119i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.72781 | 0.0954024 | ||||||||
\(329\) | 6.28841 | − | 10.8918i | 0.346691 | − | 0.600487i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.8002 | + | 27.3668i | −0.868459 | + | 1.50421i | −0.00488760 | + | 0.999988i | \(0.501556\pi\) |
−0.863571 | + | 0.504227i | \(0.831778\pi\) | |||||||
\(332\) | −2.76587 | − | 4.79063i | −0.151797 | − | 0.262920i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −15.2146 | − | 26.3525i | −0.832507 | − | 1.44194i | ||||
\(335\) | −9.04284 | + | 15.6627i | −0.494063 | + | 0.855742i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.41385 | + | 5.91296i | −0.185964 | + | 0.322100i | −0.943901 | − | 0.330228i | \(-0.892874\pi\) |
0.757937 | + | 0.652328i | \(0.226208\pi\) | |||||||
\(338\) | −11.7301 | − | 20.3172i | −0.638035 | − | 1.10511i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 10.9067 | 0.591496 | ||||||||
\(341\) | 10.9662 | + | 18.9940i | 0.593853 | + | 1.02858i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.13282 | −0.493126 | ||||||||
\(344\) | 4.21743 | + | 1.72546i | 0.227389 | + | 0.0930308i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −35.3699 | −1.90150 | ||||||||
\(347\) | −9.41214 | − | 16.3023i | −0.505270 | − | 0.875153i | −0.999981 | − | 0.00609612i | \(-0.998060\pi\) |
0.494711 | − | 0.869057i | \(-0.335274\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.14275 | − | 8.90750i | −0.275285 | − | 0.476807i | 0.694922 | − | 0.719085i | \(-0.255439\pi\) |
−0.970207 | + | 0.242278i | \(0.922106\pi\) | |||||||
\(350\) | 9.49592 | + | 16.4474i | 0.507579 | + | 0.879152i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −30.9121 | −1.64762 | ||||||||
\(353\) | 4.94145 | − | 8.55885i | 0.263007 | − | 0.455542i | −0.704033 | − | 0.710168i | \(-0.748619\pi\) |
0.967040 | + | 0.254626i | \(0.0819524\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −14.3424 | −0.761217 | ||||||||
\(356\) | −8.51014 | − | 14.7400i | −0.451036 | − | 0.781218i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.81778 | − | 3.14848i | 0.0960724 | − | 0.166402i | ||||
\(359\) | 7.84247 | − | 13.5836i | 0.413910 | − | 0.716912i | −0.581404 | − | 0.813615i | \(-0.697496\pi\) |
0.995313 | + | 0.0967028i | \(0.0308296\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.3612 | + | 23.1422i | −0.703220 | + | 1.21801i | ||||
\(362\) | 2.62157 | − | 4.54068i | 0.137786 | − | 0.238653i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.75136 | − | 4.76550i | −0.144211 | − | 0.249780i | ||||
\(365\) | −8.32175 | −0.435580 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.1619 | + | 19.3331i | 0.582649 | + | 1.00918i | 0.995164 | + | 0.0982265i | \(0.0313170\pi\) |
−0.412515 | + | 0.910951i | \(0.635350\pi\) | |||||||
\(368\) | −0.726296 | − | 1.25798i | −0.0378608 | − | 0.0655768i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.903926 | + | 1.56565i | −0.0469929 | + | 0.0813941i | ||||
\(371\) | −20.5197 | −1.06533 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.82224 | − | 6.62031i | 0.197908 | − | 0.342787i | −0.749942 | − | 0.661504i | \(-0.769919\pi\) |
0.947850 | + | 0.318717i | \(0.103252\pi\) | |||||||
\(374\) | 16.7554 | − | 29.0212i | 0.866400 | − | 1.50065i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.16706 | 0.111757 | ||||||||
\(377\) | −4.37649 | − | 7.58030i | −0.225401 | − | 0.390406i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.4896 | 0.898383 | 0.449191 | − | 0.893436i | \(-0.351712\pi\) | ||||
0.449191 | + | 0.893436i | \(0.351712\pi\) | |||||||
\(380\) | −8.79582 | + | 15.2348i | −0.451216 | + | 0.781529i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.90731 | + | 15.4279i | 0.455737 | + | 0.789360i | ||||
\(383\) | 37.1108 | 1.89627 | 0.948137 | − | 0.317861i | \(-0.102965\pi\) | ||||
0.948137 | + | 0.317861i | \(0.102965\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −26.8936 | −1.37062 | ||||||||
\(386\) | −18.0437 | −0.918400 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.921044 | 0.0467589 | ||||||||
\(389\) | −13.9666 | −0.708135 | −0.354068 | − | 0.935220i | \(-0.615202\pi\) | ||||
−0.354068 | + | 0.935220i | \(0.615202\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.32497 | 0.0670066 | ||||||||
\(392\) | −3.21896 | − | 5.57540i | −0.162582 | − | 0.281600i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 19.5027 | − | 33.7797i | 0.982533 | − | 1.70180i | ||||
\(395\) | −6.96145 | −0.350269 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.38419 | + | 2.39748i | 0.0694704 | + | 0.120326i | 0.898668 | − | 0.438629i | \(-0.144536\pi\) |
−0.829198 | + | 0.558955i | \(0.811202\pi\) | |||||||
\(398\) | 22.7529 | 1.14050 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.67568 | + | 9.83057i | −0.283784 | + | 0.491528i | ||||
\(401\) | 11.2760 | − | 19.5306i | 0.563097 | − | 0.975313i | −0.434127 | − | 0.900852i | \(-0.642943\pi\) |
0.997224 | − | 0.0744610i | \(-0.0237236\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.36445 | −0.217409 | ||||||||
\(404\) | −8.37310 | + | 14.5026i | −0.416577 | + | 0.721533i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 40.3404 | + | 69.8715i | 2.00206 | + | 3.46767i | ||||
\(407\) | 1.24945 | + | 2.16411i | 0.0619330 | + | 0.107271i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.8517 | −0.932157 | −0.466078 | − | 0.884743i | \(-0.654334\pi\) | ||||
−0.466078 | + | 0.884743i | \(0.654334\pi\) | |||||||
\(410\) | −3.77058 | − | 6.53084i | −0.186216 | − | 0.322535i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.9040 | + | 20.6184i | −0.586470 | + | 1.01580i | ||||
\(413\) | 21.3893 | − | 37.0473i | 1.05250 | − | 1.82298i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.68996 | − | 4.65915i | 0.132045 | − | 0.228709i | ||||
\(416\) | 3.07569 | − | 5.32724i | 0.150798 | − | 0.261190i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 27.0252 | + | 46.8090i | 1.32185 | + | 2.28950i | ||||
\(419\) | 19.1823 | 0.937117 | 0.468559 | − | 0.883432i | \(-0.344774\pi\) | ||||
0.468559 | + | 0.883432i | \(0.344774\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.80850 | + | 13.5247i | −0.380563 | + | 0.659155i | −0.991143 | − | 0.132800i | \(-0.957603\pi\) |
0.610580 | + | 0.791955i | \(0.290936\pi\) | |||||||
\(422\) | 30.8339 | 1.50097 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.76783 | − | 3.06197i | −0.0858535 | − | 0.148703i | ||||
\(425\) | −5.17703 | − | 8.96687i | −0.251123 | − | 0.434957i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.4270 | − | 31.9166i | −0.891747 | − | 1.54455i | ||||
\(428\) | −12.0429 | −0.582114 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.68168 | − | 19.7067i | −0.129322 | − | 0.950339i | ||||
\(431\) | 12.9453 | 0.623551 | 0.311775 | − | 0.950156i | \(-0.399076\pi\) | ||||
0.311775 | + | 0.950156i | \(0.399076\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.1679 | + | 17.6114i | 0.488640 | + | 0.846350i | 0.999915 | − | 0.0130679i | \(-0.00415975\pi\) |
−0.511274 | + | 0.859418i | \(0.670826\pi\) | |||||||
\(434\) | 40.2293 | 1.93107 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.5441 | − | 23.4590i | −0.648642 | − | 1.12348i | ||||
\(437\) | −1.06854 | + | 1.85077i | −0.0511152 | + | 0.0885341i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.32497 | − | 16.1513i | 0.445057 | − | 0.770861i | −0.553000 | − | 0.833181i | \(-0.686517\pi\) |
0.998056 | + | 0.0623210i | \(0.0198502\pi\) | |||||||
\(440\) | −2.31696 | − | 4.01309i | −0.110457 | − | 0.191316i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.33424 | + | 5.77508i | 0.158594 | + | 0.274692i | ||||
\(443\) | 5.18326 | − | 8.97768i | 0.246264 | − | 0.426542i | −0.716222 | − | 0.697873i | \(-0.754130\pi\) |
0.962486 | + | 0.271330i | \(0.0874635\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.27656 | − | 14.3354i | 0.392347 | − | 0.679564i | ||||
\(446\) | 38.4503 | 1.82067 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −9.81450 | + | 16.9992i | −0.463692 | + | 0.803138i | ||||
\(449\) | 8.58021 | + | 14.8614i | 0.404925 | + | 0.701351i | 0.994313 | − | 0.106500i | \(-0.0339643\pi\) |
−0.589388 | + | 0.807850i | \(0.700631\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.4238 | −0.490836 | ||||||||
\(452\) | −12.6625 | −0.595594 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −23.6410 | − | 40.9474i | −1.10953 | − | 1.92176i | ||||
\(455\) | 2.67585 | − | 4.63471i | 0.125446 | − | 0.217278i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.3788 | −1.14039 | −0.570197 | − | 0.821508i | \(-0.693133\pi\) | ||||
−0.570197 | + | 0.821508i | \(0.693133\pi\) | |||||||
\(458\) | −21.9324 | + | 37.9880i | −1.02483 | + | 1.77506i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.411120 | + | 0.712081i | −0.0191686 | + | 0.0332009i | ||||
\(461\) | −7.52642 | − | 13.0361i | −0.350540 | − | 0.607153i | 0.635804 | − | 0.771851i | \(-0.280669\pi\) |
−0.986344 | + | 0.164697i | \(0.947335\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.38692 | − | 2.40221i | −0.0644555 | − | 0.111640i | 0.831997 | − | 0.554780i | \(-0.187198\pi\) |
−0.896452 | + | 0.443140i | \(0.853864\pi\) | |||||||
\(464\) | −24.1113 | + | 41.7620i | −1.11934 | + | 1.93875i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 24.7745 | − | 42.9107i | 1.14766 | − | 1.98780i | ||||
\(467\) | −0.126627 | − | 0.219324i | −0.00585960 | − | 0.0101491i | 0.863081 | − | 0.505066i | \(-0.168532\pi\) |
−0.868940 | + | 0.494917i | \(0.835199\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 45.8541 | 2.11735 | ||||||||
\(470\) | −4.72914 | − | 8.19112i | −0.218139 | − | 0.377828i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 7.37099 | 0.339277 | ||||||||
\(473\) | −25.4435 | − | 10.4096i | −1.16989 | − | 0.478635i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.7003 | 0.766264 | ||||||||
\(476\) | −13.8263 | − | 23.9478i | −0.633726 | − | 1.09765i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.38419 | − | 5.86158i | −0.154789 | − | 0.268103i | ||||
\(479\) | −4.14612 | − | 7.18130i | −0.189441 | − | 0.328122i | 0.755623 | − | 0.655007i | \(-0.227334\pi\) |
−0.945064 | + | 0.326885i | \(0.894001\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.497270 | −0.0226736 | ||||||||
\(482\) | −6.63586 | + | 11.4936i | −0.302255 | + | 0.523521i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.7540 | 0.488818 | ||||||||
\(485\) | 0.447882 | + | 0.775755i | 0.0203373 | + | 0.0352252i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.65921 | − | 13.2661i | 0.347072 | − | 0.601146i | −0.638656 | − | 0.769492i | \(-0.720509\pi\) |
0.985728 | + | 0.168346i | \(0.0538426\pi\) | |||||||
\(488\) | 3.17508 | − | 5.49941i | 0.143729 | − | 0.248947i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.0494 | + | 24.3343i | −0.634687 | + | 1.09931i | ||||
\(491\) | 3.30171 | − | 5.71873i | 0.149004 | − | 0.258083i | −0.781855 | − | 0.623460i | \(-0.785727\pi\) |
0.930860 | + | 0.365377i | \(0.119060\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −21.9929 | − | 38.0928i | −0.990511 | − | 1.71562i | ||||
\(494\) | −10.7558 | −0.483926 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.0225 | + | 20.8235i | 0.539825 | + | 0.935004i | ||||
\(497\) | 18.1818 | + | 31.4917i | 0.815564 | + | 1.41260i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.271104 | − | 0.469566i | 0.0121363 | − | 0.0210206i | −0.859893 | − | 0.510474i | \(-0.829470\pi\) |
0.872030 | + | 0.489453i | \(0.162803\pi\) | |||||||
\(500\) | 19.4335 | 0.869092 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 29.7568 | − | 51.5403i | 1.32811 | − | 2.30036i | ||||
\(503\) | 11.8819 | − | 20.5801i | 0.529789 | − | 0.917621i | −0.469608 | − | 0.882875i | \(-0.655605\pi\) |
0.999396 | − | 0.0347454i | \(-0.0110620\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.2866 | −0.724743 | ||||||||
\(506\) | 1.26317 | + | 2.18787i | 0.0561547 | + | 0.0972628i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.51712 | 0.0673112 | ||||||||
\(509\) | −19.2451 | + | 33.3335i | −0.853024 | + | 1.47748i | 0.0254417 | + | 0.999676i | \(0.491901\pi\) |
−0.878466 | + | 0.477805i | \(0.841433\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.5494 | + | 18.2721i | 0.466678 | + | 0.808310i | ||||
\(512\) | −27.5020 | −1.21543 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −53.0846 | −2.34146 | ||||||||
\(515\) | −23.1546 | −1.02031 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −13.0737 | −0.574981 | ||||||||
\(518\) | 4.58360 | 0.201392 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.922128 | 0.0404380 | ||||||||
\(521\) | −0.859161 | − | 1.48811i | −0.0376405 | − | 0.0651953i | 0.846591 | − | 0.532243i | \(-0.178651\pi\) |
−0.884232 | + | 0.467048i | \(0.845318\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.3502 | + | 28.3193i | −0.714943 | + | 1.23832i | 0.248039 | + | 0.968750i | \(0.420214\pi\) |
−0.962982 | + | 0.269567i | \(0.913119\pi\) | |||||||
\(524\) | 20.0531 | 0.876024 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 21.9231 | + | 37.9720i | 0.955894 | + | 1.65566i | ||||
\(527\) | −21.9324 | −0.955390 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4501 | − | 19.8321i | 0.497829 | − | 0.862264i | ||||
\(530\) | −7.71584 | + | 13.3642i | −0.335155 | + | 0.580505i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 44.6015 | 1.93372 | ||||||||
\(533\) | 1.03714 | − | 1.79638i | 0.0449236 | − | 0.0778100i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.85617 | − | 10.1432i | −0.253184 | − | 0.438528i | ||||
\(536\) | 3.95046 | + | 6.84240i | 0.170634 | + | 0.295547i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 35.0504 | 1.51113 | ||||||||
\(539\) | 19.4198 | + | 33.6360i | 0.836469 | + | 1.44881i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.0132 | + | 19.0754i | −0.473494 | + | 0.820116i | −0.999540 | − | 0.0303404i | \(-0.990341\pi\) |
0.526045 | + | 0.850457i | \(0.323674\pi\) | |||||||
\(542\) | 3.47118 | − | 6.01226i | 0.149100 | − | 0.258249i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 15.4561 | − | 26.7707i | 0.662673 | − | 1.14778i | ||||
\(545\) | 13.1723 | − | 22.8151i | 0.564240 | − | 0.977292i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.5566 | + | 25.2128i | 0.622395 | + | 1.07802i | 0.989038 | + | 0.147658i | \(0.0471736\pi\) |
−0.366643 | + | 0.930362i | \(0.619493\pi\) | |||||||
\(548\) | −18.7112 | −0.799301 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 9.87110 | − | 17.0972i | 0.420905 | − | 0.729029i | ||||
\(551\) | 70.9460 | 3.02240 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.82497 | + | 15.2853i | 0.375276 | + | 0.649997i | ||||
\(554\) | −13.2780 | − | 22.9981i | −0.564126 | − | 0.977095i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.78092 | − | 3.08464i | −0.0755278 | − | 0.130818i | ||||
\(557\) | −11.4403 | −0.484740 | −0.242370 | − | 0.970184i | \(-0.577925\pi\) | ||||
−0.242370 | + | 0.970184i | \(0.577925\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.32551 | − | 3.34907i | 0.182950 | − | 0.141651i | ||||
\(560\) | −29.4840 | −1.24593 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −25.6185 | − | 44.3726i | −1.08065 | − | 1.87175i | ||||
\(563\) | −40.0094 | −1.68619 | −0.843097 | − | 0.537761i | \(-0.819270\pi\) | ||||
−0.843097 | + | 0.537761i | \(0.819270\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.15748 | − | 10.6651i | −0.259047 | − | 0.448683i | ||||
\(566\) | 2.74488 | − | 4.75428i | 0.115376 | − | 0.199837i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.13282 | + | 5.42621i | −0.131450 | + | 0.227679i | ||||
\(569\) | −3.82818 | − | 6.63059i | −0.160485 | − | 0.277969i | 0.774557 | − | 0.632504i | \(-0.217973\pi\) |
−0.935043 | + | 0.354535i | \(0.884639\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.63228 | − | 4.55924i | −0.110157 | − | 0.190798i | 0.805676 | − | 0.592356i | \(-0.201802\pi\) |
−0.915834 | + | 0.401558i | \(0.868469\pi\) | |||||||
\(572\) | −2.86007 | + | 4.95378i | −0.119585 | + | 0.207128i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −9.55987 | + | 16.5582i | −0.399021 | + | 0.691125i | ||||
\(575\) | 0.780580 | 0.0325524 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.454520 | − | 0.787252i | 0.0189219 | − | 0.0327737i | −0.856409 | − | 0.516297i | \(-0.827310\pi\) |
0.875331 | + | 0.483524i | \(0.160643\pi\) | |||||||
\(578\) | 0.548315 | + | 0.949710i | 0.0228069 | + | 0.0395027i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 27.2964 | 1.13342 | ||||||||
\(581\) | −13.6402 | −0.565889 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.6652 | + | 18.4727i | 0.441708 | + | 0.765061i | ||||
\(584\) | −1.81772 | + | 3.14839i | −0.0752179 | + | 0.130281i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 37.3372 | 1.54239 | ||||||||
\(587\) | −4.19748 | + | 7.27024i | −0.173248 | + | 0.300075i | −0.939554 | − | 0.342402i | \(-0.888760\pi\) |
0.766305 | + | 0.642477i | \(0.222093\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 17.6877 | − | 30.6360i | 0.728808 | − | 1.26233i | ||||
\(590\) | −16.0856 | − | 27.8611i | −0.662235 | − | 1.14702i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.36980 | + | 2.37256i | 0.0562984 | + | 0.0975117i | ||||
\(593\) | −13.6682 | + | 23.6741i | −0.561287 | + | 0.972178i | 0.436097 | + | 0.899900i | \(0.356360\pi\) |
−0.997384 | + | 0.0722787i | \(0.976973\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 13.4468 | − | 23.2905i | 0.551264 | − | 0.954818i | ||||
\(596\) | 7.15798 | + | 12.3980i | 0.293202 | + | 0.507841i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.502730 | −0.0205581 | ||||||||
\(599\) | 0.553520 | + | 0.958724i | 0.0226162 | + | 0.0391724i | 0.877112 | − | 0.480286i | \(-0.159467\pi\) |
−0.854496 | + | 0.519458i | \(0.826134\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.7433 | 0.601391 | 0.300696 | − | 0.953720i | \(-0.402781\pi\) | ||||
0.300696 | + | 0.953720i | \(0.402781\pi\) | |||||||
\(602\) | −39.8705 | + | 30.8701i | −1.62500 | + | 1.25817i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −33.4687 | −1.36182 | ||||||||
\(605\) | 5.22941 | + | 9.05761i | 0.212606 | + | 0.368244i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.10862 | − | 12.3125i | −0.288530 | − | 0.499749i | 0.684929 | − | 0.728610i | \(-0.259833\pi\) |
−0.973459 | + | 0.228861i | \(0.926500\pi\) | |||||||
\(608\) | 24.9295 | + | 43.1792i | 1.01102 | + | 1.75115i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −27.7158 | −1.12218 | ||||||||
\(611\) | 1.30080 | − | 2.25306i | 0.0526249 | − | 0.0911491i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 45.1756 | 1.82462 | 0.912312 | − | 0.409495i | \(-0.134295\pi\) | ||||
0.912312 | + | 0.409495i | \(0.134295\pi\) | |||||||
\(614\) | −8.09989 | − | 14.0294i | −0.326885 | − | 0.566181i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.87437 | + | 10.1747i | −0.236685 | + | 0.409951i | ||||
\(617\) | −1.51642 | + | 2.62652i | −0.0610489 | + | 0.105740i | −0.894935 | − | 0.446198i | \(-0.852778\pi\) |
0.833886 | + | 0.551937i | \(0.186111\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.99727 | + | 13.8517i | −0.321437 | + | 0.556746i | −0.980785 | − | 0.195092i | \(-0.937499\pi\) |
0.659347 | + | 0.751838i | \(0.270833\pi\) | |||||||
\(620\) | 6.80532 | − | 11.7872i | 0.273308 | − | 0.473384i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.9067 | + | 18.8909i | 0.437317 | + | 0.757455i | ||||
\(623\) | −41.9685 | −1.68143 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.27557 | + | 5.67345i | 0.131023 | + | 0.226938i | ||||
\(626\) | 7.84247 | + | 13.5836i | 0.313448 | + | 0.542908i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.12301 | + | 3.67716i | −0.0847172 | + | 0.146734i | ||||
\(629\) | −2.49890 | −0.0996378 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.3172 | − | 31.7264i | 0.729198 | − | 1.26301i | −0.228025 | − | 0.973655i | \(-0.573227\pi\) |
0.957223 | − | 0.289352i | \(-0.0934398\pi\) | |||||||
\(632\) | −1.52059 | + | 2.63374i | −0.0604859 | + | 0.104765i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −29.5435 | −1.17332 | ||||||||
\(635\) | 0.737739 | + | 1.27780i | 0.0292763 | + | 0.0507080i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.72890 | −0.306230 | ||||||||
\(638\) | 41.9342 | − | 72.6321i | 1.66019 | − | 2.87553i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.34798 | − | 7.53092i | −0.171869 | − | 0.297686i | ||||
\(641\) | −33.4459 | −1.32103 | −0.660516 | − | 0.750812i | \(-0.729663\pi\) | ||||
−0.660516 | + | 0.750812i | \(0.729663\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.3106 | 0.761535 | 0.380768 | − | 0.924671i | \(-0.375660\pi\) | ||||
0.380768 | + | 0.924671i | \(0.375660\pi\) | |||||||
\(644\) | 2.08469 | 0.0821484 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −54.0504 | −2.12658 | ||||||||
\(647\) | −39.9990 | −1.57252 | −0.786261 | − | 0.617894i | \(-0.787986\pi\) | ||||
−0.786261 | + | 0.617894i | \(0.787986\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −44.4687 | −1.74555 | ||||||||
\(650\) | 1.96430 | + | 3.40227i | 0.0770464 | + | 0.133448i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 16.1060 | − | 27.8964i | 0.630760 | − | 1.09251i | ||||
\(653\) | 23.5963 | 0.923393 | 0.461697 | − | 0.887038i | \(-0.347241\pi\) | ||||
0.461697 | + | 0.887038i | \(0.347241\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.75136 | + | 16.8899i | 0.381017 | + | 0.659941i | ||||
\(656\) | −11.4278 | −0.446181 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −11.9902 | + | 20.7676i | −0.467426 | + | 0.809606i | ||||
\(659\) | −14.4669 | + | 25.0574i | −0.563550 | + | 0.976097i | 0.433633 | + | 0.901089i | \(0.357231\pi\) |
−0.997183 | + | 0.0750072i | \(0.976102\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 27.1867 | 1.05744 | 0.528720 | − | 0.848796i | \(-0.322672\pi\) | ||||
0.528720 | + | 0.848796i | \(0.322672\pi\) | |||||||
\(662\) | 30.1265 | − | 52.1806i | 1.17090 | − | 2.02806i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.17514 | − | 2.03540i | −0.0456042 | − | 0.0789888i | ||||
\(665\) | 21.6887 | + | 37.5659i | 0.841051 | + | 1.45674i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.31604 | 0.128398 | ||||||||
\(668\) | 13.0509 | + | 22.6048i | 0.504954 | + | 0.874606i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 17.2421 | − | 29.8642i | 0.666120 | − | 1.15375i | ||||
\(671\) | −19.1551 | + | 33.1776i | −0.739474 | + | 1.28081i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.50273 | + | 6.06691i | −0.135020 | + | 0.233862i | −0.925605 | − | 0.378490i | \(-0.876443\pi\) |
0.790585 | + | 0.612352i | \(0.209777\pi\) | |||||||
\(674\) | 6.50923 | − | 11.2743i | 0.250726 | − | 0.434270i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 10.0619 | + | 17.4278i | 0.386998 | + | 0.670300i | ||||
\(677\) | 14.3475 | 0.551420 | 0.275710 | − | 0.961241i | \(-0.411087\pi\) | ||||
0.275710 | + | 0.961241i | \(0.411087\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.13555 | − | 1.96683i | 0.0435785 | − | 0.0754801i | ||||
\(680\) | 4.63392 | 0.177703 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −20.9094 | − | 36.2161i | −0.800662 | − | 1.38679i | ||||
\(683\) | −3.25556 | − | 5.63880i | −0.124571 | − | 0.215763i | 0.796994 | − | 0.603987i | \(-0.206422\pi\) |
−0.921565 | + | 0.388224i | \(0.873089\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −9.09880 | − | 15.7596i | −0.347647 | − | 0.602143i | ||||
\(686\) | 17.4137 | 0.664857 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −27.8942 | − | 11.4123i | −1.06346 | − | 0.435089i | ||||
\(689\) | −4.24466 | −0.161709 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.12301 | − | 12.3374i | −0.270972 | − | 0.469337i | 0.698139 | − | 0.715962i | \(-0.254012\pi\) |
−0.969111 | + | 0.246625i | \(0.920678\pi\) | |||||||
\(692\) | 30.3398 | 1.15335 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 17.9462 | + | 31.0838i | 0.681230 | + | 1.17993i | ||||
\(695\) | 1.73204 | − | 2.99998i | 0.0657000 | − | 0.113796i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.21189 | − | 9.02725i | 0.197414 | − | 0.341932i | ||||
\(698\) | 9.80574 | + | 16.9840i | 0.371153 | + | 0.642855i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.14548 | − | 14.1084i | −0.307870 | − | 0.533247i | ||||
\(701\) | 20.7667 | − | 35.9690i | 0.784349 | − | 1.35853i | −0.145039 | − | 0.989426i | \(-0.546331\pi\) |
0.929387 | − | 0.369106i | \(-0.120336\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.01527 | − | 3.49056i | 0.0760075 | − | 0.131649i | ||||
\(704\) | 20.4045 | 0.769025 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −9.42193 | + | 16.3193i | −0.354599 | + | 0.614184i | ||||
\(707\) | 20.6463 | + | 35.7605i | 0.776486 | + | 1.34491i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 43.2131 | 1.62290 | 0.811451 | − | 0.584421i | \(-0.198678\pi\) | ||||
0.811451 | + | 0.584421i | \(0.198678\pi\) | |||||||
\(710\) | 27.3469 | 1.02631 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.61571 | − | 6.26258i | −0.135504 | − | 0.234700i | ||||
\(713\) | 0.826729 | − | 1.43194i | 0.0309612 | − | 0.0536265i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.56314 | −0.208050 | ||||||||
\(716\) | −1.55926 | + | 2.70072i | −0.0582724 | + | 0.100931i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −14.9533 | + | 25.8999i | −0.558053 | + | 0.966577i | ||||
\(719\) | −2.99190 | − | 5.18212i | −0.111579 | − | 0.193261i | 0.804828 | − | 0.593508i | \(-0.202257\pi\) |
−0.916407 | + | 0.400247i | \(0.868924\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 29.3529 | + | 50.8407i | 1.09316 | + | 1.89341i | ||||
\(722\) | 25.4759 | − | 44.1256i | 0.948116 | − | 1.64218i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.24874 | + | 3.89494i | −0.0835739 | + | 0.144754i | ||||
\(725\) | −12.9567 | − | 22.4417i | −0.481200 | − | 0.833462i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 46.0164 | 1.70665 | 0.853326 | − | 0.521377i | \(-0.174581\pi\) | ||||
0.853326 | + | 0.521377i | \(0.174581\pi\) | |||||||
\(728\) | −1.16897 | − | 2.02472i | −0.0433250 | − | 0.0750412i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 15.8672 | 0.587271 | ||||||||
\(731\) | 21.7367 | − | 16.8299i | 0.803962 | − | 0.622476i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.75945 | 0.138858 | 0.0694291 | − | 0.997587i | \(-0.477882\pi\) | ||||
0.0694291 | + | 0.997587i | \(0.477882\pi\) | |||||||
\(734\) | −21.2826 | − | 36.8626i | −0.785556 | − | 1.36062i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.16521 | + | 2.01821i | 0.0429504 | + | 0.0743922i | ||||
\(737\) | −23.8329 | − | 41.2797i | −0.877895 | − | 1.52056i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −22.2944 | −0.820114 | −0.410057 | − | 0.912060i | \(-0.634491\pi\) | ||||
−0.410057 | + | 0.912060i | \(0.634491\pi\) | |||||||
\(740\) | 0.775376 | − | 1.34299i | 0.0285034 | − | 0.0493693i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 39.1252 | 1.43633 | ||||||||
\(743\) | 13.7092 | + | 23.7450i | 0.502941 | + | 0.871120i | 0.999994 | + | 0.00339960i | \(0.00108213\pi\) |
−0.497053 | + | 0.867720i | \(0.665585\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.96152 | + | 12.0577i | −0.255050 | + | 0.441760i | ||||
\(746\) | −7.28791 | + | 12.6230i | −0.266829 | + | 0.462162i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −14.3725 | + | 24.8940i | −0.525512 | + | 0.910213i | ||||
\(749\) | −14.8476 | + | 25.7168i | −0.542520 | + | 0.939673i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.93632 | − | 17.2102i | −0.362581 | − | 0.628009i | 0.625803 | − | 0.779981i | \(-0.284771\pi\) |
−0.988385 | + | 0.151971i | \(0.951438\pi\) | |||||||
\(752\) | −14.3330 | −0.522670 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 8.34471 | + | 14.4535i | 0.303896 | + | 0.526364i | ||||
\(755\) | −16.2751 | − | 28.1892i | −0.592310 | − | 1.02591i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.27383 | − | 7.40250i | 0.155335 | − | 0.269048i | −0.777846 | − | 0.628455i | \(-0.783688\pi\) |
0.933181 | + | 0.359407i | \(0.117021\pi\) | |||||||
\(758\) | −33.3477 | −1.21124 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.73708 | + | 6.47282i | −0.135558 | + | 0.234794i | ||||
\(761\) | −2.37558 | + | 4.11463i | −0.0861148 | + | 0.149155i | −0.905866 | − | 0.423565i | \(-0.860779\pi\) |
0.819751 | + | 0.572720i | \(0.194112\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −66.7937 | −2.41809 | ||||||||
\(764\) | −7.64057 | − | 13.2338i | −0.276426 | − | 0.478784i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −70.7597 | −2.55665 | ||||||||
\(767\) | 4.42454 | − | 7.66352i | 0.159761 | − | 0.276714i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −17.6981 | − | 30.6541i | −0.638212 | − | 1.10541i | −0.985825 | − | 0.167777i | \(-0.946341\pi\) |
0.347613 | − | 0.937638i | \(-0.386992\pi\) | |||||||
\(770\) | 51.2783 | 1.84794 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 15.4776 | 0.557052 | ||||||||
\(773\) | 23.9352 | 0.860889 | 0.430445 | − | 0.902617i | \(-0.358357\pi\) | ||||
0.430445 | + | 0.902617i | \(0.358357\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −12.9210 | −0.464138 | ||||||||
\(776\) | 0.391324 | 0.0140477 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 26.6303 | 0.954743 | ||||||||
\(779\) | 8.40640 | + | 14.5603i | 0.301190 | + | 0.521677i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.9001 | − | 32.7360i | 0.676299 | − | 1.17138i | ||||
\(782\) | −2.52634 | −0.0903416 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 21.2903 | + | 36.8759i | 0.760368 | + | 1.31700i | ||||
\(785\) | −4.12948 | −0.147387 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 23.3020 | − | 40.3602i | 0.830625 | − | 1.43868i | −0.0669181 | − | 0.997758i | \(-0.521317\pi\) |
0.897543 | − | 0.440926i | \(-0.145350\pi\) | |||||||
\(788\) | −16.7292 | + | 28.9758i | −0.595952 | + | 1.03222i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 13.2735 | 0.472250 | ||||||||
\(791\) | −15.6116 | + | 27.0400i | −0.555083 | + | 0.961432i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.81177 | − | 6.60219i | −0.135360 | − | 0.234451i | ||||
\(794\) | −2.63925 | − | 4.57131i | −0.0936634 | − | 0.162230i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −19.5171 | −0.691766 | ||||||||
\(797\) | −8.05808 | − | 13.9570i | −0.285432 | − | 0.494383i | 0.687282 | − | 0.726391i | \(-0.258804\pi\) |
−0.972714 | + | 0.232008i | \(0.925470\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.53686 | − | 11.3222i | 0.231257 | − | 0.400549i | ||||
\(800\) | 9.10563 | − | 15.7714i | 0.321933 | − | 0.557604i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −21.5001 | + | 37.2393i | −0.759195 | + | 1.31496i | ||||
\(803\) | 10.9662 | − | 18.9940i | 0.386989 | − | 0.670284i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.01374 | + | 1.75585i | 0.0357296 | + | 0.0618854i | ||||
\(806\) | 8.32175 | 0.293121 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −3.55748 | + | 6.16174i | −0.125152 | + | 0.216769i | ||||
\(809\) | 13.6002 | 0.478159 | 0.239079 | − | 0.971000i | \(-0.423154\pi\) | ||||
0.239079 | + | 0.971000i | \(0.423154\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.84024 | − | 17.0438i | −0.345538 | − | 0.598489i | 0.639914 | − | 0.768447i | \(-0.278970\pi\) |
−0.985451 | + | 0.169958i | \(0.945637\pi\) | |||||||
\(812\) | −34.6034 | − | 59.9349i | −1.21434 | − | 2.10330i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.38234 | − | 4.12634i | −0.0835011 | − | 0.144628i | ||||
\(815\) | 31.3279 | 1.09737 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.97872 | + | 43.9354i | 0.209169 | + | 1.53710i | ||||
\(818\) | 35.9448 | 1.25678 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.23436 | + | 5.60207i | 0.112949 | + | 0.195633i | ||||
\(821\) | 13.5458 | 0.472751 | 0.236376 | − | 0.971662i | \(-0.424040\pi\) | ||||
0.236376 | + | 0.971662i | \(0.424040\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 22.1323 | + | 38.3342i | 0.771483 | + | 1.33625i | 0.936750 | + | 0.349999i | \(0.113818\pi\) |
−0.165267 | + | 0.986249i | \(0.552849\pi\) | |||||||
\(824\) | −5.05767 | + | 8.76014i | −0.176192 | + | 0.305174i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −40.7832 | + | 70.6386i | −1.41903 | + | 2.45783i | ||||
\(827\) | 13.9090 | + | 24.0911i | 0.483664 | + | 0.837731i | 0.999824 | − | 0.0187616i | \(-0.00597236\pi\) |
−0.516160 | + | 0.856492i | \(0.672639\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 15.0955 | + | 26.1462i | 0.524289 | + | 0.908096i | 0.999600 | + | 0.0282780i | \(0.00900235\pi\) |
−0.475311 | + | 0.879818i | \(0.657664\pi\) | |||||||
\(830\) | −5.12898 | + | 8.88365i | −0.178030 | + | 0.308356i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.03020 | + | 3.51642i | −0.0703847 | + | 0.121910i | ||||
\(833\) | −38.8396 | −1.34571 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −12.6927 | + | 21.9844i | −0.439249 | + | 0.760801i | ||||
\(836\) | −23.1818 | − | 40.1521i | −0.801761 | − | 1.38869i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −36.5751 | −1.26347 | ||||||||
\(839\) | 28.5882 | 0.986975 | 0.493487 | − | 0.869753i | \(-0.335722\pi\) | ||||
0.493487 | + | 0.869753i | \(0.335722\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −40.5423 | − | 70.2214i | −1.39801 | − | 2.42143i | ||||
\(842\) | 14.8886 | − | 25.7878i | 0.513094 | − | 0.888705i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −26.4489 | −0.910407 | ||||||||
\(845\) | −9.78578 | + | 16.9495i | −0.336641 | + | 0.583080i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.2586 | − | 22.9645i | 0.455569 | − | 0.789069i | ||||
\(848\) | 11.6925 | + | 20.2520i | 0.401522 | + | 0.695456i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 9.87110 | + | 17.0972i | 0.338576 | + | 0.586431i | ||||
\(851\) | 0.0941947 | − | 0.163150i | 0.00322895 | − | 0.00559271i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −15.4770 | + | 26.8069i | −0.529922 | + | 0.917852i | 0.469469 | + | 0.882949i | \(0.344445\pi\) |
−0.999391 | + | 0.0349027i | \(0.988888\pi\) | |||||||
\(854\) | 35.1351 | + | 60.8557i | 1.20230 | + | 2.08244i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.11666 | −0.174884 | ||||||||
\(857\) | −14.9429 | − | 25.8818i | −0.510438 | − | 0.884105i | −0.999927 | − | 0.0120951i | \(-0.996150\pi\) |
0.489489 | − | 0.872010i | \(-0.337183\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −44.5280 | −1.51928 | −0.759638 | − | 0.650346i | \(-0.774624\pi\) | ||||
−0.759638 | + | 0.650346i | \(0.774624\pi\) | |||||||
\(860\) | 2.30031 | + | 16.9041i | 0.0784399 | + | 0.576425i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −24.6829 | −0.840702 | ||||||||
\(863\) | 10.4345 | + | 18.0731i | 0.355196 | + | 0.615217i | 0.987151 | − | 0.159788i | \(-0.0510809\pi\) |
−0.631956 | + | 0.775004i | \(0.717748\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14.7536 | + | 25.5539i | 0.501636 | + | 0.868859i | ||||
\(866\) | −19.3873 | − | 33.5799i | −0.658809 | − | 1.14109i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −34.5082 | −1.17128 | ||||||||
\(869\) | 9.17364 | − | 15.8892i | 0.311194 | − | 0.539004i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 9.48527 | 0.321396 | ||||||||
\(872\) | −5.75447 | − | 9.96703i | −0.194871 | − | 0.337526i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.03740 | − | 3.52888i | 0.0689160 | − | 0.119366i | ||||
\(875\) | 23.9595 | − | 41.4991i | 0.809979 | − | 1.40292i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.02301 | + | 6.96806i | −0.135847 | + | 0.235295i | −0.925921 | − | 0.377718i | \(-0.876709\pi\) |
0.790073 | + | 0.613012i | \(0.210042\pi\) | |||||||
\(878\) | −17.7800 | + | 30.7959i | −0.600047 | + | 1.03931i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 15.3244 | + | 26.5427i | 0.516586 | + | 0.894754i | ||||
\(881\) | −35.2794 | −1.18859 | −0.594296 | − | 0.804246i | \(-0.702569\pi\) | ||||
−0.594296 | + | 0.804246i | \(0.702569\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.82324 | − | 6.62204i | −0.128662 | − | 0.222849i | 0.794496 | − | 0.607269i | \(-0.207735\pi\) |
−0.923158 | + | 0.384420i | \(0.874402\pi\) | |||||||
\(884\) | −2.86007 | − | 4.95378i | −0.0961945 | − | 0.166614i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −9.88299 | + | 17.1178i | −0.332026 | + | 0.575085i | ||||
\(887\) | −13.0080 | −0.436768 | −0.218384 | − | 0.975863i | \(-0.570078\pi\) | ||||
−0.218384 | + | 0.975863i | \(0.570078\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.87045 | − | 3.23971i | 0.0627329 | − | 0.108657i | ||||
\(890\) | −15.7810 | + | 27.3335i | −0.528981 | + | 0.916222i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −32.9821 | −1.10432 | ||||||||
\(893\) | 10.5435 | + | 18.2618i | 0.352824 | + | 0.611109i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.03293 | −0.101380 | ||||||||
\(896\) | −11.0238 | + | 19.0938i | −0.368279 | + | 0.637878i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −16.3600 | − | 28.3363i | −0.545940 | − | 0.945595i | ||||
\(899\) | −54.8909 | −1.83071 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −21.3304 | −0.710620 | ||||||||
\(902\) | 19.8751 | 0.661770 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −5.37992 | −0.178933 | ||||||||
\(905\) | −4.37405 | −0.145398 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.64101 | 0.220511 | 0.110256 | − | 0.993903i | \(-0.464833\pi\) | ||||
0.110256 | + | 0.993903i | \(0.464833\pi\) | |||||||
\(908\) | 20.2789 | + | 35.1242i | 0.672980 | + | 1.16564i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.10208 | + | 8.83705i | −0.169132 | + | 0.292945i | ||||
\(911\) | −42.3997 | −1.40477 | −0.702383 | − | 0.711799i | \(-0.747880\pi\) | ||||
−0.702383 | + | 0.711799i | \(0.747880\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.08953 | + | 12.2794i | 0.234629 | + | 0.406390i | ||||
\(914\) | 46.4834 | 1.53754 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 18.8133 | − | 32.5856i | 0.621609 | − | 1.07666i | ||||
\(917\) | 24.7234 | − | 42.8222i | 0.816440 | − | 1.41411i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −28.1636 | −0.929031 | −0.464516 | − | 0.885565i | \(-0.653772\pi\) | ||||
−0.464516 | + | 0.885565i | \(0.653772\pi\) | |||||||
\(920\) | −0.174673 | + | 0.302542i | −0.00575879 | + | 0.00997452i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 14.3507 | + | 24.8562i | 0.472615 | + | 0.818594i | ||||
\(923\) | 3.76104 | + | 6.51431i | 0.123796 | + | 0.214421i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.47218 | −0.0484050 | ||||||||
\(926\) | 2.64445 | + | 4.58032i | 0.0869021 | + | 0.150519i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 38.6823 | − | 66.9998i | 1.26981 | − | 2.19938i | ||||
\(929\) | 3.60301 | − | 6.24060i | 0.118211 | − | 0.204747i | −0.800848 | − | 0.598868i | \(-0.795617\pi\) |
0.919059 | + | 0.394121i | \(0.128951\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 31.3227 | − | 54.2525i | 1.02656 | − | 1.77805i | ||||
\(932\) | −21.2512 | + | 36.8082i | −0.696107 | + | 1.20569i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.241441 | + | 0.418189i | 0.00790020 | + | 0.0136836i | ||||
\(935\) | −27.9561 | −0.914262 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.4330 | + | 44.0513i | −0.830861 | + | 1.43909i | 0.0664946 | + | 0.997787i | \(0.478818\pi\) |
−0.897356 | + | 0.441307i | \(0.854515\pi\) | |||||||
\(938\) | −87.4306 | −2.85471 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.05660 | + | 7.02623i | 0.132312 | + | 0.229170i | ||||
\(941\) | 26.8310 | + | 46.4727i | 0.874666 | + | 1.51497i | 0.857118 | + | 0.515120i | \(0.172253\pi\) |
0.0175477 | + | 0.999846i | \(0.494414\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.392918 | + | 0.680554i | 0.0127952 | + | 0.0221619i | ||||
\(944\) | −48.7520 | −1.58674 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 48.5134 | + | 19.8481i | 1.57731 | + | 0.645319i | ||||
\(947\) | 9.79722 | 0.318367 | 0.159184 | − | 0.987249i | \(-0.449114\pi\) | ||||
0.159184 | + | 0.987249i | \(0.449114\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.18222 | + | 3.77972i | 0.0708380 | + | 0.122695i | ||||
\(950\) | −31.8427 | −1.03311 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −5.87437 | − | 10.1747i | −0.190389 | − | 0.329764i | ||||
\(953\) | −8.63676 | + | 14.9593i | −0.279772 | + | 0.484580i | −0.971328 | − | 0.237743i | \(-0.923592\pi\) |
0.691556 | + | 0.722323i | \(0.256926\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.43086 | − | 12.8706i | 0.240457 | − | 0.416484i | ||||
\(956\) | 2.90291 | + | 5.02799i | 0.0938868 | + | 0.162617i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 7.90546 | + | 13.6927i | 0.255414 | + | 0.442390i | ||||
\(959\) | −23.0689 | + | 39.9566i | −0.744935 | + | 1.29026i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.81505 | − | 3.14375i | 0.0585499 | − | 0.101411i | ||||
\(962\) | 0.948152 | 0.0305696 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.69215 | − | 9.85909i | 0.183332 | − | 0.317540i | ||||
\(965\) | 7.52642 | + | 13.0361i | 0.242284 | + | 0.419648i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.94067 | 0.191039 | 0.0955196 | − | 0.995428i | \(-0.469549\pi\) | ||||
0.0955196 | + | 0.995428i | \(0.469549\pi\) | |||||||
\(968\) | 4.56905 | 0.146855 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.853982 | − | 1.47914i | −0.0274197 | − | 0.0474923i | ||||
\(971\) | 2.83198 | − | 4.90513i | 0.0908825 | − | 0.157413i | −0.817000 | − | 0.576637i | \(-0.804365\pi\) |
0.907883 | + | 0.419224i | \(0.137698\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.78276 | −0.281562 | ||||||||
\(974\) | −14.6039 | + | 25.2947i | −0.467940 | + | 0.810495i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −21.0001 | + | 36.3733i | −0.672197 | + | 1.16428i | ||||
\(977\) | 27.5773 | + | 47.7652i | 0.882275 | + | 1.52814i | 0.848806 | + | 0.528705i | \(0.177322\pi\) |
0.0334690 | + | 0.999440i | \(0.489345\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 21.8133 | + | 37.7818i | 0.697156 | + | 1.20751i | ||||
\(980\) | 12.0514 | − | 20.8736i | 0.384967 | − | 0.666783i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −6.29542 | + | 10.9040i | −0.200895 | + | 0.347960i | ||||
\(983\) | −26.1498 | − | 45.2928i | −0.834050 | − | 1.44462i | −0.894802 | − | 0.446464i | \(-0.852683\pi\) |
0.0607516 | − | 0.998153i | \(-0.480650\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −32.5400 | −1.03681 | ||||||||
\(986\) | 41.9342 | + | 72.6321i | 1.33546 | + | 2.31308i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 9.22617 | 0.293523 | ||||||||
\(989\) | 0.279448 | + | 2.05356i | 0.00888592 | + | 0.0652993i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.1557 | 0.481438 | 0.240719 | − | 0.970595i | \(-0.422617\pi\) | ||||
0.240719 | + | 0.970595i | \(0.422617\pi\) | |||||||
\(992\) | −19.2879 | − | 33.4077i | −0.612393 | − | 1.06070i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −34.6674 | − | 60.0457i | −1.09958 | − | 1.90453i | ||||
\(995\) | −9.49072 | − | 16.4384i | −0.300876 | − | 0.521133i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 42.9704 | 1.36088 | 0.680442 | − | 0.732802i | \(-0.261788\pi\) | ||||
0.680442 | + | 0.732802i | \(0.261788\pi\) | |||||||
\(998\) | −0.516917 | + | 0.895327i | −0.0163627 | + | 0.0283411i | ||||
\(999\) | 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 | 387.2.h.g.208.2 | ✓ | 12 | |
3.2 | odd | 2 | inner | 387.2.h.g.208.5 | yes | 12 | |
43.6 | even | 3 | inner | 387.2.h.g.307.2 | yes | 12 | |
129.92 | odd | 6 | inner | 387.2.h.g.307.5 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
387.2.h.g.208.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
387.2.h.g.208.5 | yes | 12 | 3.2 | odd | 2 | inner | |
387.2.h.g.307.2 | yes | 12 | 43.6 | even | 3 | inner | |
387.2.h.g.307.5 | yes | 12 | 129.92 | odd | 6 | inner |