Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(25,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.q (of order \(11\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 193.6 | ||
Character | \(\chi\) | \(=\) | 804.193 |
Dual form | 804.2.q.a.25.6 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.654861 | − | 0.755750i | −0.378084 | − | 0.436332i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.26560 | + | 2.09868i | 1.46042 | + | 0.938556i | 0.998671 | + | 0.0515466i | \(0.0164151\pi\) |
0.461751 | + | 0.887009i | \(0.347221\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.572019 | − | 3.97848i | 0.216203 | − | 1.50372i | −0.535676 | − | 0.844423i | \(-0.679943\pi\) |
0.751879 | − | 0.659301i | \(-0.229148\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.40139 | − | 1.54328i | −0.724046 | − | 0.465316i | 0.125996 | − | 0.992031i | \(-0.459787\pi\) |
−0.850042 | + | 0.526714i | \(0.823424\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.03931 | − | 4.46546i | −0.565602 | − | 1.23850i | −0.949106 | − | 0.314957i | \(-0.898010\pi\) |
0.383504 | − | 0.923539i | \(-0.374717\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.552442 | − | 3.84232i | −0.142640 | − | 0.992082i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.18346 | − | 0.347496i | 0.287032 | − | 0.0842801i | −0.135047 | − | 0.990839i | \(-0.543119\pi\) |
0.422079 | + | 0.906559i | \(0.361300\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.964189 | − | 6.70608i | −0.221200 | − | 1.53848i | −0.733509 | − | 0.679679i | \(-0.762119\pi\) |
0.512309 | − | 0.858801i | \(-0.328790\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.38133 | + | 2.17305i | −0.737866 | + | 0.474198i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.75490 | + | 5.48745i | 0.991466 | + | 1.14421i | 0.989546 | + | 0.144214i | \(0.0460655\pi\) |
0.00191943 | + | 0.999998i | \(0.499389\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.18265 | + | 9.15872i | 0.836529 | + | 1.83174i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.841254 | − | 0.540641i | 0.161899 | − | 0.104046i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.33219 | −0.618772 | −0.309386 | − | 0.950937i | \(-0.600124\pi\) | ||||
−0.309386 | + | 0.950937i | \(0.600124\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.100956 | − | 0.221064i | 0.0181323 | − | 0.0397042i | −0.900349 | − | 0.435168i | \(-0.856689\pi\) |
0.918481 | + | 0.395464i | \(0.129416\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.406243 | + | 2.82548i | 0.0707179 | + | 0.491853i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 10.2175 | − | 11.7917i | 1.72708 | − | 1.99315i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.92010 | 1.13766 | 0.568829 | − | 0.822456i | \(-0.307397\pi\) | ||||
0.568829 | + | 0.822456i | \(0.307397\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.03931 | + | 4.46546i | −0.326551 | + | 0.715046i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.55334 | + | 0.749727i | −0.398764 | + | 0.117088i | −0.474965 | − | 0.880005i | \(-0.657539\pi\) |
0.0762006 | + | 0.997093i | \(0.475721\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.45691 | + | 0.721414i | −0.374675 | + | 0.110015i | −0.463648 | − | 0.886019i | \(-0.653460\pi\) |
0.0889727 | + | 0.996034i | \(0.471642\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.54206 | + | 2.93369i | −0.378948 | + | 0.437329i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.03517 | − | 8.11902i | −1.02619 | − | 1.18428i | −0.982696 | − | 0.185227i | \(-0.940698\pi\) |
−0.0434897 | − | 0.999054i | \(-0.513848\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −8.78465 | − | 2.57941i | −1.25495 | − | 0.368486i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.03762 | − | 0.666839i | −0.145296 | − | 0.0933762i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.83449 | + | 2.30041i | 1.07615 | + | 0.315986i | 0.771337 | − | 0.636426i | \(-0.219588\pi\) |
0.304812 | + | 0.952412i | \(0.401406\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.60314 | − | 10.0795i | −0.620688 | − | 1.35912i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −4.43671 | + | 5.12023i | −0.587656 | + | 0.678192i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.91400 | − | 4.19107i | 0.249181 | − | 0.545631i | −0.743166 | − | 0.669107i | \(-0.766677\pi\) |
0.992348 | + | 0.123476i | \(0.0394041\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 10.5278 | − | 6.76581i | 1.34795 | − | 0.866274i | 0.350424 | − | 0.936591i | \(-0.386038\pi\) |
0.997525 | + | 0.0703174i | \(0.0224012\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 3.85658 | + | 1.13239i | 0.485883 | + | 0.142668i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.71198 | − | 18.8623i | 0.336380 | − | 2.33958i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.55850 | + | 7.37137i | 0.434740 | + | 0.900556i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.03334 | − | 7.18703i | 0.124399 | − | 0.865217i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.5202 | + | 3.67626i | 1.48588 | + | 0.436292i | 0.921222 | − | 0.389036i | \(-0.127192\pi\) |
0.564653 | + | 0.825329i | \(0.309010\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.29165 | + | 2.75807i | −0.502299 | + | 0.322808i | −0.767135 | − | 0.641485i | \(-0.778319\pi\) |
0.264836 | + | 0.964293i | \(0.414682\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.18265 | − | 9.15872i | 0.482970 | − | 1.05756i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.51355 | + | 8.67110i | −0.856248 | + | 0.988163i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.47497 | − | 3.22973i | −0.165947 | − | 0.363373i | 0.808329 | − | 0.588731i | \(-0.200372\pi\) |
−0.974276 | + | 0.225358i | \(0.927645\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.45764 | + | 1.57943i | 0.269761 | + | 0.173365i | 0.668527 | − | 0.743688i | \(-0.266925\pi\) |
−0.398766 | + | 0.917053i | \(0.630561\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.59400 | + | 1.34892i | 0.498289 | + | 0.146311i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.18212 | + | 2.51830i | 0.233948 | + | 0.269990i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.07715 | + | 7.01340i | −0.644176 | + | 0.743419i | −0.980107 | − | 0.198467i | \(-0.936404\pi\) |
0.335931 | + | 0.941887i | \(0.390949\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −18.9323 | + | 5.55901i | −1.98464 | + | 0.582743i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.233181 | + | 0.0684682i | −0.0241798 | + | 0.00709982i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 10.9252 | − | 23.9229i | 1.12090 | − | 2.45444i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −16.7003 | −1.69566 | −0.847829 | − | 0.530270i | \(-0.822091\pi\) | ||||
−0.847829 | + | 0.530270i | \(0.822091\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.86932 | − | 2.15732i | 0.187874 | − | 0.216818i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.53055 | − | 10.6452i | −0.152296 | − | 1.05924i | −0.912359 | − | 0.409390i | \(-0.865741\pi\) |
0.760064 | − | 0.649849i | \(-0.225168\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.86975 | + | 6.28387i | −0.282765 | + | 0.619168i | −0.996712 | − | 0.0810318i | \(-0.974178\pi\) |
0.713947 | + | 0.700200i | \(0.246906\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −15.6026 | −1.52266 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.85437 | + | 3.11971i | −0.469289 | + | 0.301594i | −0.753829 | − | 0.657070i | \(-0.771796\pi\) |
0.284540 | + | 0.958664i | \(0.408159\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.83171 | + | 12.7697i | 0.558576 | + | 1.22311i | 0.952660 | + | 0.304037i | \(0.0983347\pi\) |
−0.394084 | + | 0.919074i | \(0.628938\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.53170 | − | 5.22987i | −0.430130 | − | 0.496397i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 10.8812 | − | 6.99294i | 1.02362 | − | 0.657841i | 0.0827369 | − | 0.996571i | \(-0.473634\pi\) |
0.940883 | + | 0.338731i | \(0.109998\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.01125 | + | 27.8988i | 0.374051 | + | 2.60158i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 4.71023 | − | 1.38305i | 0.435461 | − | 0.127863i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.705542 | − | 4.90715i | −0.0646769 | − | 0.449838i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.18460 | − | 2.59392i | −0.107691 | − | 0.235811i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.23869 | + | 1.43872i | 0.201856 | + | 0.129725i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.80011 | + | 19.4752i | −0.250449 | + | 1.74191i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.22946 | + | 8.55110i | −0.109097 | + | 0.758788i | 0.859676 | + | 0.510840i | \(0.170665\pi\) |
−0.968773 | + | 0.247948i | \(0.920244\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 2.15414 | + | 1.38438i | 0.189662 | + | 0.121888i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.46356 | + | 10.9215i | 0.826835 | + | 0.954219i | 0.999527 | − | 0.0307572i | \(-0.00979187\pi\) |
−0.172692 | + | 0.984976i | \(0.555246\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −27.2315 | −2.36127 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 3.88183 | 0.334095 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.92934 | + | 6.84283i | 0.506578 | + | 0.584622i | 0.950219 | − | 0.311582i | \(-0.100859\pi\) |
−0.443641 | + | 0.896204i | \(0.646314\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.4179 | + | 8.62318i | 1.13809 | + | 0.731409i | 0.967234 | − | 0.253887i | \(-0.0817090\pi\) |
0.170860 | + | 0.985295i | \(0.445345\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.52889 | + | 10.6337i | −0.128756 | + | 0.895515i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.99428 | + | 13.8705i | −0.166770 | + | 1.15991i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −10.8816 | − | 6.99318i | −0.903668 | − | 0.580752i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.80334 | + | 8.32814i | 0.313694 | + | 0.686894i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.822957 | − | 5.72379i | −0.0674193 | − | 0.468911i | −0.995363 | − | 0.0961908i | \(-0.969334\pi\) |
0.927944 | − | 0.372720i | \(-0.121575\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.05395 | − | 0.896720i | 0.248527 | − | 0.0729740i | −0.155096 | − | 0.987899i | \(-0.549569\pi\) |
0.403623 | + | 0.914925i | \(0.367751\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.175535 | + | 1.22087i | 0.0141911 | + | 0.0987014i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.793624 | − | 0.510031i | 0.0637454 | − | 0.0409667i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.0804488 | + | 0.0928429i | 0.00642052 | + | 0.00740967i | 0.758951 | − | 0.651148i | \(-0.225712\pi\) |
−0.752530 | + | 0.658558i | \(0.771167\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −3.39196 | − | 7.42736i | −0.269000 | − | 0.589028i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 24.5516 | − | 15.7784i | 1.93494 | − | 1.24351i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −14.4925 | −1.13514 | −0.567568 | − | 0.823326i | \(-0.692116\pi\) | ||||
−0.567568 | + | 0.823326i | \(0.692116\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −4.60314 | + | 10.0795i | −0.358354 | + | 0.784686i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.54355 | + | 10.7356i | 0.119443 | + | 0.830748i | 0.958171 | + | 0.286196i | \(0.0923909\pi\) |
−0.838728 | + | 0.544551i | \(0.816700\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.26837 | + | 8.38815i | −0.559105 | + | 0.645242i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 6.77504 | 0.518100 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.55438 | + | 3.40361i | −0.118177 | + | 0.258772i | −0.959472 | − | 0.281805i | \(-0.909067\pi\) |
0.841294 | + | 0.540577i | \(0.181794\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 38.8303 | − | 11.4016i | 2.93530 | − | 0.861881i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.42081 | + | 1.29807i | −0.332288 | + | 0.0975686i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −6.74305 | + | 7.78189i | −0.503999 | + | 0.581646i | −0.949552 | − | 0.313610i | \(-0.898462\pi\) |
0.445553 | + | 0.895256i | \(0.353007\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.7672 | + | 17.0423i | 1.09764 | + | 1.26675i | 0.961127 | + | 0.276107i | \(0.0890444\pi\) |
0.136514 | + | 0.990638i | \(0.456410\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −12.0075 | − | 3.52572i | −0.887621 | − | 0.260629i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 22.5983 | + | 14.5231i | 1.66146 | + | 1.06776i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.37824 | − | 0.991940i | −0.247041 | − | 0.0725378i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.66972 | − | 3.65617i | −0.121454 | − | 0.265947i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −13.8442 | + | 15.9771i | −1.00173 | + | 1.15606i | −0.0140001 | + | 0.999902i | \(0.504457\pi\) |
−0.987732 | + | 0.156159i | \(0.950089\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.75518 | + | 16.9815i | −0.558230 | + | 1.22235i | 0.394601 | + | 0.918853i | \(0.370883\pi\) |
−0.952831 | + | 0.303501i | \(0.901844\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −16.0311 | + | 10.3026i | −1.14801 | + | 0.737783i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 10.2519 | + | 3.01023i | 0.730417 | + | 0.214470i | 0.625735 | − | 0.780036i | \(-0.284799\pi\) |
0.104682 | + | 0.994506i | \(0.466617\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.84476 | − | 12.8306i | 0.130771 | − | 0.909534i | −0.813781 | − | 0.581172i | \(-0.802594\pi\) |
0.944552 | − | 0.328362i | \(-0.106497\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.24058 | − | 7.51656i | 0.228573 | − | 0.530177i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.90608 | + | 13.2571i | −0.133780 | + | 0.930463i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.91162 | − | 2.91031i | −0.692257 | − | 0.203265i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.10829 | + | 3.92556i | −0.424556 | + | 0.272845i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −8.03396 | + | 17.5919i | −0.555721 | + | 1.21686i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.5776 | − | 17.9776i | 1.07241 | − | 1.23763i | 0.102352 | − | 0.994748i | \(-0.467363\pi\) |
0.970057 | − | 0.242877i | \(-0.0780913\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.42066 | − | 11.8696i | −0.371417 | − | 0.813290i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −9.53731 | − | 2.80041i | −0.650439 | − | 0.190986i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.821748 | − | 0.528106i | −0.0557839 | − | 0.0358501i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 4.89484 | + | 1.43726i | 0.330763 | + | 0.0971207i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.96517 | − | 4.57605i | −0.266726 | − | 0.307818i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.41180 | + | 6.24555i | −0.362401 | + | 0.418233i | −0.907443 | − | 0.420176i | \(-0.861968\pi\) |
0.545042 | + | 0.838409i | \(0.316514\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −9.66075 | + | 2.83665i | −0.644050 | + | 0.189110i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 16.4969 | − | 4.84391i | 1.09493 | − | 0.321502i | 0.316097 | − | 0.948727i | \(-0.397628\pi\) |
0.778838 | + | 0.627225i | \(0.215809\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.4543 | − | 25.0814i | 0.756921 | − | 1.65743i | 0.00340797 | − | 0.999994i | \(-0.498915\pi\) |
0.753513 | − | 0.657433i | \(-0.228358\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 11.4735 | 0.754901 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 4.40464 | − | 5.08323i | 0.288558 | − | 0.333013i | −0.592900 | − | 0.805276i | \(-0.702017\pi\) |
0.881458 | + | 0.472263i | \(0.156563\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.93489 | − | 41.2780i | −0.387149 | − | 2.69268i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.47497 | + | 3.22973i | −0.0958096 | + | 0.209794i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −16.4076 | −1.06132 | −0.530659 | − | 0.847585i | \(-0.678056\pi\) | ||||
−0.530659 | + | 0.847585i | \(0.678056\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.79764 | + | 4.36858i | −0.437874 | + | 0.281405i | −0.740948 | − | 0.671562i | \(-0.765624\pi\) |
0.303074 | + | 0.952967i | \(0.401987\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.415415 | + | 0.909632i | 0.0266489 | + | 0.0583529i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −23.2738 | − | 26.8594i | −1.48691 | − | 1.71599i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −27.9795 | + | 17.9813i | −1.78029 | + | 1.14412i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.415759 | − | 2.89167i | −0.0263477 | − | 0.183252i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −19.7463 | + | 5.79804i | −1.24638 | + | 0.365969i | −0.837407 | − | 0.546579i | \(-0.815930\pi\) |
−0.408969 | + | 0.912548i | \(0.634111\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.94971 | − | 20.5157i | −0.185446 | − | 1.28981i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.98898 | − | 4.35526i | −0.124555 | − | 0.272737i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.36704 | − | 3.44918i | −0.334787 | − | 0.215154i | 0.362437 | − | 0.932008i | \(-0.381945\pi\) |
−0.697223 | + | 0.716854i | \(0.745581\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.95843 | − | 27.5315i | 0.245965 | − | 1.71072i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.474220 | − | 3.29827i | 0.0293535 | − | 0.204158i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −23.4436 | − | 15.0663i | −1.44560 | − | 0.929028i | −0.999419 | − | 0.0340838i | \(-0.989149\pi\) |
−0.446177 | − | 0.894945i | \(-0.647215\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 20.7565 | + | 23.9543i | 1.27506 | + | 1.47150i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 9.28006 | 0.567930 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −14.5779 | −0.888832 | −0.444416 | − | 0.895821i | \(-0.646589\pi\) | ||||
−0.444416 | + | 0.895821i | \(0.646589\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.41903 | − | 10.8701i | −0.572165 | − | 0.660314i | 0.393736 | − | 0.919223i | \(-0.371182\pi\) |
−0.965902 | + | 0.258910i | \(0.916637\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 16.5992 | + | 10.6677i | 1.00463 | + | 0.645637i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 4.09030 | − | 28.4487i | 0.246654 | − | 1.71552i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.45373 | + | 17.0660i | −0.147430 | + | 1.02540i | 0.772976 | + | 0.634436i | \(0.218767\pi\) |
−0.920406 | + | 0.390964i | \(0.872142\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.204446 | + | 0.131389i | 0.0122399 | + | 0.00786608i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.83781 | + | 6.21393i | 0.169289 | + | 0.370692i | 0.975194 | − | 0.221354i | \(-0.0710476\pi\) |
−0.805904 | + | 0.592046i | \(0.798320\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.72051 | + | 11.9664i | 0.102274 | + | 0.711331i | 0.974852 | + | 0.222855i | \(0.0715378\pi\) |
−0.872578 | + | 0.488476i | \(0.837553\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −25.2342 | + | 7.40944i | −1.49475 | + | 0.438897i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.52222 | + | 10.5873i | 0.0898537 | + | 0.624946i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.0215 | + | 8.36840i | −0.765970 | + | 0.492259i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 10.9364 | + | 12.6212i | 0.641101 | + | 0.739870i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 7.95074 | + | 17.4097i | 0.464487 | + | 1.01709i | 0.986442 | + | 0.164112i | \(0.0524759\pi\) |
−0.521954 | + | 0.852973i | \(0.674797\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 15.0461 | − | 9.66952i | 0.876016 | − | 0.562981i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.85454 | −0.165637 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 14.8073 | − | 32.4234i | 0.856327 | − | 1.87510i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.46473 | + | 10.1874i | 0.0844257 | + | 0.587194i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −7.04282 | + | 8.12785i | −0.404600 | + | 0.466933i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 48.5789 | 2.78162 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.34953 | + | 2.95505i | −0.0770215 | + | 0.168654i | −0.944226 | − | 0.329299i | \(-0.893187\pi\) |
0.867204 | + | 0.497953i | \(0.165915\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 6.62832 | − | 1.94625i | 0.377072 | − | 0.110718i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −14.9114 | + | 4.37837i | −0.845546 | + | 0.248275i | −0.675683 | − | 0.737193i | \(-0.736151\pi\) |
−0.169864 | + | 0.985468i | \(0.554333\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.30613 | − | 7.27766i | 0.356444 | − | 0.411358i | −0.549001 | − | 0.835821i | \(-0.684992\pi\) |
0.905445 | + | 0.424464i | \(0.139537\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 10.2175 | + | 11.7917i | 0.575692 | + | 0.664384i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 23.9623 | + | 7.03598i | 1.34586 | + | 0.395180i | 0.873757 | − | 0.486363i | \(-0.161677\pi\) |
0.472103 | + | 0.881543i | \(0.343495\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.00189 | + | 5.14250i | 0.448020 | + | 0.287925i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.53666 | + | 1.62571i | 0.309026 | + | 0.0907382i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.47141 | − | 7.60134i | −0.193155 | − | 0.422950i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 32.3682 | − | 37.3549i | 1.79546 | − | 2.07208i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.83171 | − | 12.7697i | 0.322494 | − | 0.706164i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −36.3256 | + | 23.3451i | −2.00270 | + | 1.28705i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.1704 | + | 7.68432i | 1.43846 | + | 0.422369i | 0.905707 | − | 0.423905i | \(-0.139341\pi\) |
0.532749 | + | 0.846273i | \(0.321159\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.984833 | + | 6.84967i | −0.0539685 | + | 0.375359i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.84945 | + | 31.5401i | −0.210318 | + | 1.72322i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.25062 | − | 15.6534i | 0.122599 | − | 0.852696i | −0.831994 | − | 0.554784i | \(-0.812801\pi\) |
0.954593 | − | 0.297912i | \(-0.0962901\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −12.4106 | − | 3.64408i | −0.674052 | − | 0.197919i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.583599 | + | 0.375056i | −0.0316036 | + | 0.0203104i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.59909 | + | 7.88090i | −0.194333 | + | 0.425529i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 18.4577 | − | 21.3013i | 0.993730 | − | 1.14683i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.81862 | − | 19.3101i | −0.473409 | − | 1.03662i | −0.984224 | − | 0.176929i | \(-0.943384\pi\) |
0.510815 | − | 0.859691i | \(-0.329344\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 4.60412 | + | 1.35189i | 0.246453 | + | 0.0723651i | 0.402626 | − | 0.915365i | \(-0.368098\pi\) |
−0.156173 | + | 0.987730i | \(0.549916\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.12978 | − | 2.65405i | −0.220432 | − | 0.141663i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −28.0475 | − | 8.23548i | −1.49282 | − | 0.438330i | −0.569377 | − | 0.822077i | \(-0.692816\pi\) |
−0.923439 | + | 0.383746i | \(0.874634\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 33.1707 | + | 38.2811i | 1.76052 | + | 2.03175i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.24655 | + | 3.74671i | −0.171825 | + | 0.198297i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10.6079 | − | 3.11476i | 0.559864 | − | 0.164391i | 0.0104561 | − | 0.999945i | \(-0.496672\pi\) |
0.549408 | + | 0.835555i | \(0.314853\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −25.8115 | + | 7.57893i | −1.35850 | + | 0.398891i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.18460 | + | 2.59392i | −0.0621755 | + | 0.136145i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −19.8031 | −1.03654 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.4872 | − | 13.2569i | 0.599624 | − | 0.692003i | −0.372081 | − | 0.928200i | \(-0.621356\pi\) |
0.971705 | + | 0.236197i | \(0.0759010\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.378718 | − | 2.63404i | −0.0197153 | − | 0.137123i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 13.6336 | − | 29.8535i | 0.707822 | − | 1.54991i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.4107 | −0.849713 | −0.424857 | − | 0.905261i | \(-0.639675\pi\) | ||||
−0.424857 | + | 0.905261i | \(0.639675\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 16.5520 | − | 10.6373i | 0.854743 | − | 0.549310i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 6.79536 | + | 14.8798i | 0.349979 | + | 0.766347i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.3251 | + | 21.1483i | 0.941297 | + | 1.08631i | 0.996136 | + | 0.0878197i | \(0.0279899\pi\) |
−0.0548392 | + | 0.998495i | \(0.517465\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.26762 | − | 4.67062i | 0.372331 | − | 0.239283i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.39118 | + | 9.67588i | 0.0710861 | + | 0.494414i | 0.993998 | + | 0.109402i | \(0.0348937\pi\) |
−0.922911 | + | 0.385012i | \(0.874197\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −42.7341 | + | 12.5479i | −2.17793 | + | 0.639498i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.364416 | − | 2.53457i | −0.0185243 | − | 0.128839i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.40173 | + | 9.63845i | 0.223177 | + | 0.488689i | 0.987788 | − | 0.155803i | \(-0.0497964\pi\) |
−0.764611 | + | 0.644492i | \(0.777069\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.53411 | + | 4.84188i | 0.381016 | + | 0.244864i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.05663 | − | 14.3042i | 0.103743 | − | 0.721550i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.96150 | − | 13.6425i | 0.0986936 | − | 0.686429i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.78273 | + | 5.00165i | 0.390604 | + | 0.251026i | 0.721172 | − | 0.692756i | \(-0.243604\pi\) |
−0.330568 | + | 0.943782i | \(0.607240\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 17.8329 | + | 20.5802i | 0.892760 | + | 1.03030i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 38.6068 | 1.92793 | 0.963966 | − | 0.266027i | \(-0.0857110\pi\) | ||||
0.963966 | + | 0.266027i | \(0.0857110\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.19303 | −0.0594292 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.54206 | − | 2.93369i | −0.126316 | − | 0.145776i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −16.6179 | − | 10.6797i | −0.823717 | − | 0.529371i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.31700 | + | 16.1151i | −0.114568 | + | 0.796838i | 0.848811 | + | 0.528696i | \(0.177319\pi\) |
−0.963379 | + | 0.268142i | \(0.913590\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.28857 | − | 8.96220i | 0.0635604 | − | 0.442072i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −15.5793 | − | 10.0122i | −0.766605 | − | 0.492667i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.71097 | + | 10.3156i | 0.231253 | + | 0.506372i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.26991 | − | 15.7876i | −0.111158 | − | 0.773121i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −15.0679 | + | 4.42432i | −0.736113 | + | 0.216142i | −0.628237 | − | 0.778022i | \(-0.716223\pi\) |
−0.107876 | + | 0.994164i | \(0.534405\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.59136 | − | 18.0233i | −0.126295 | − | 0.878402i | −0.950193 | − | 0.311663i | \(-0.899114\pi\) |
0.823897 | − | 0.566739i | \(-0.191795\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 9.03759 | − | 5.80811i | 0.439423 | − | 0.282400i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 8.13262 | + | 9.38554i | 0.394490 | + | 0.455266i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −20.8955 | − | 45.7549i | −1.01121 | − | 2.21423i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 11.7886 | − | 7.57609i | 0.569160 | − | 0.365777i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 27.9434 | 1.34599 | 0.672993 | − | 0.739649i | \(-0.265009\pi\) | ||||
0.672993 | + | 0.739649i | \(0.265009\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.0141 | − | 26.3073i | 0.577363 | − | 1.26425i | −0.365421 | − | 0.930842i | \(-0.619075\pi\) |
0.942784 | − | 0.333405i | \(-0.108198\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.84084 | + | 12.8033i | 0.0882616 | + | 0.613873i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 32.2147 | − | 37.1777i | 1.54104 | − | 1.77845i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −29.8423 | −1.42429 | −0.712147 | − | 0.702030i | \(-0.752277\pi\) | ||||
−0.712147 | + | 0.702030i | \(0.752277\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.80334 | − | 8.32814i | 0.181111 | − | 0.396578i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −13.4904 | + | 3.96114i | −0.640948 | + | 0.188199i | −0.586027 | − | 0.810291i | \(-0.699309\pi\) |
−0.0549208 | + | 0.998491i | \(0.517491\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −34.5644 | + | 10.1490i | −1.63851 | + | 0.481110i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.78683 | + | 4.37024i | −0.179111 | + | 0.206705i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 2.97405 | + | 3.43223i | 0.140354 | + | 0.161977i | 0.821575 | − | 0.570101i | \(-0.193096\pi\) |
−0.681221 | + | 0.732078i | \(0.738551\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.28860 | + | 2.14013i | 0.343207 | + | 0.100775i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −2.67761 | − | 1.72079i | −0.125805 | − | 0.0808499i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −73.4918 | − | 21.5791i | −3.44535 | − | 1.01165i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.05445 | + | 6.68831i | 0.142881 | + | 0.312866i | 0.967520 | − | 0.252793i | \(-0.0813492\pi\) |
−0.824639 | + | 0.565659i | \(0.808622\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.807721 | − | 0.932160i | 0.0377012 | − | 0.0435095i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −11.8280 | + | 25.8997i | −0.550886 | + | 1.20627i | 0.405482 | + | 0.914103i | \(0.367104\pi\) |
−0.956367 | + | 0.292168i | \(0.905623\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −23.7759 | + | 15.2798i | −1.10496 | + | 0.710113i | −0.960189 | − | 0.279352i | \(-0.909880\pi\) |
−0.144769 | + | 0.989465i | \(0.546244\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.905169 | − | 0.265782i | −0.0419762 | − | 0.0123253i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 3.06667 | − | 21.3292i | 0.141909 | − | 0.986996i | −0.787070 | − | 0.616863i | \(-0.788403\pi\) |
0.928979 | − | 0.370133i | \(-0.120688\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 31.3624 | − | 9.94087i | 1.44818 | − | 0.459027i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.0174832 | − | 0.121598i | 0.000805584 | − | 0.00560296i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 7.01334 | + | 2.05930i | 0.322474 | + | 0.0946869i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 57.3862 | − | 36.8799i | 2.63306 | − | 1.69217i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.39196 | + | 7.42736i | −0.155307 | + | 0.340075i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −14.0074 | + | 16.1654i | −0.640013 | + | 0.738615i | −0.979377 | − | 0.202041i | \(-0.935243\pi\) |
0.339364 | + | 0.940655i | \(0.389788\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.1122 | − | 30.9014i | −0.643462 | − | 1.40898i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −28.0024 | − | 8.22224i | −1.27415 | − | 0.374125i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −54.5365 | − | 35.0485i | −2.47638 | − | 1.59147i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.31122 | − | 0.972262i | −0.150046 | − | 0.0440574i | 0.205847 | − | 0.978584i | \(-0.434005\pi\) |
−0.355893 | + | 0.934527i | \(0.615823\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 9.49054 | + | 10.9527i | 0.429177 | + | 0.495297i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 15.0838 | − | 17.4077i | 0.680724 | − | 0.785598i | −0.305290 | − | 0.952260i | \(-0.598753\pi\) |
0.986014 | + | 0.166662i | \(0.0532988\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.94352 | + | 1.15792i | −0.177607 | + | 0.0521502i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 10.6320 | − | 3.12183i | 0.477872 | − | 0.140316i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 21.7877 | − | 47.7085i | 0.977314 | − | 2.14002i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.6737 | 0.656883 | 0.328442 | − | 0.944524i | \(-0.393477\pi\) | ||||
0.328442 | + | 0.944524i | \(0.393477\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 7.10263 | − | 8.19688i | 0.317322 | − | 0.366209i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 3.44518 | + | 23.9618i | 0.153613 | + | 1.06840i | 0.910099 | + | 0.414392i | \(0.136006\pi\) |
−0.756485 | + | 0.654011i | \(0.773085\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.3427 | − | 37.9752i | 0.771740 | − | 1.68987i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.0991 | 0.492929 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 22.0683 | − | 14.1825i | 0.978162 | − | 0.628627i | 0.0491952 | − | 0.998789i | \(-0.484334\pi\) |
0.928967 | + | 0.370163i | \(0.120698\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.51804 | + | 18.6519i | 0.376816 | + | 0.825112i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.43671 | − | 5.12023i | −0.195885 | − | 0.226064i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −22.5592 | + | 14.4979i | −0.994079 | + | 0.638856i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.36427 | + | 30.3542i | 0.191940 | + | 1.33498i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 3.59018 | − | 1.05417i | 0.157591 | − | 0.0462730i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.997854 | + | 6.94022i | 0.0437168 | + | 0.304057i | 0.999935 | + | 0.0114022i | \(0.00362950\pi\) |
−0.956218 | + | 0.292655i | \(0.905461\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.46062 | − | 20.7159i | −0.413684 | − | 0.905842i | −0.995698 | − | 0.0926628i | \(-0.970462\pi\) |
0.582013 | − | 0.813179i | \(-0.302265\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −34.0452 | − | 21.8795i | −1.48586 | − | 0.954901i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.0426593 | − | 0.296702i | 0.00185827 | − | 0.0129246i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.22977 | + | 29.4187i | −0.183903 | + | 1.27907i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.87602 | + | 2.49097i | 0.168205 | + | 0.108099i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 8.55492 | + | 9.87290i | 0.370555 | + | 0.427643i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −22.3997 | −0.968424 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 10.2969 | 0.444345 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 17.1146 | + | 19.7513i | 0.737179 | + | 0.850750i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −20.9733 | − | 13.4787i | −0.901712 | − | 0.579495i | 0.00558537 | − | 0.999984i | \(-0.498222\pi\) |
−0.907298 | + | 0.420489i | \(0.861858\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 3.20923 | − | 22.3207i | 0.137721 | − | 0.957872i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −7.75533 | + | 53.9395i | −0.332202 | + | 2.31051i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.8073 | + | 6.94544i | 0.462087 | + | 0.296965i | 0.750895 | − | 0.660422i | \(-0.229622\pi\) |
−0.288808 | + | 0.957387i | \(0.593259\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.19868 | + | 11.3835i | 0.221874 | + | 0.485837i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.21286 | + | 22.3459i | 0.136872 | + | 0.951969i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −13.6931 | + | 4.02067i | −0.582292 | + | 0.170976i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.82296 | − | 26.5892i | −0.162275 | − | 1.12865i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −2.14490 | + | 1.37844i | −0.0908822 | + | 0.0584065i | −0.585293 | − | 0.810822i | \(-0.699020\pi\) |
0.494410 | + | 0.869229i | \(0.335384\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.23184 | + | 9.50005i | 0.348170 | + | 0.401809i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.46262 | + | 3.20268i | 0.0617517 | + | 0.135217i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.97158 | − | 1.26706i | 0.0830922 | − | 0.0534001i | −0.498435 | − | 0.866927i | \(-0.666092\pi\) |
0.581527 | + | 0.813527i | \(0.302455\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 50.2097 | 2.11234 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.66972 | + | 3.65617i | −0.0701215 | + | 0.153545i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −0.142489 | − | 0.991032i | −0.00597344 | − | 0.0415462i | 0.986617 | − | 0.163057i | \(-0.0521353\pi\) |
−0.992590 | + | 0.121510i | \(0.961226\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.00068 | + | 6.92515i | −0.251121 | + | 0.289809i | −0.867288 | − | 0.497806i | \(-0.834139\pi\) |
0.616167 | + | 0.787615i | \(0.288684\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 21.1407 | 0.883165 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −30.3699 | + | 66.5009i | −1.26651 | + | 2.77328i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 34.5096 | − | 10.1329i | 1.43665 | − | 0.421839i | 0.531548 | − | 0.847028i | \(-0.321611\pi\) |
0.905104 | + | 0.425189i | \(0.139792\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 17.9123 | − | 5.25953i | 0.744410 | − | 0.218579i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.68955 | − | 8.87422i | 0.319016 | − | 0.368165i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.2635 | − | 17.6150i | −0.632149 | − | 0.729539i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 18.2843 | + | 5.36876i | 0.755963 | + | 0.221971i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −26.9863 | − | 17.3430i | −1.11384 | − | 0.715824i | −0.151716 | − | 0.988424i | \(-0.548480\pi\) |
−0.962127 | + | 0.272600i | \(0.912116\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.57981 | − | 0.463875i | −0.0650950 | − | 0.0191136i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −4.43858 | − | 9.71914i | −0.182579 | − | 0.399792i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −3.86088 | + | 4.45569i | −0.158547 | + | 0.182973i | −0.829465 | − | 0.558558i | \(-0.811355\pi\) |
0.670918 | + | 0.741532i | \(0.265900\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.99450 | − | 17.5055i | 0.327743 | − | 0.717656i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −10.9048 | + | 7.00806i | −0.446302 | + | 0.286821i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 17.6060 | + | 5.16959i | 0.719361 | + | 0.211224i | 0.620869 | − | 0.783914i | \(-0.286780\pi\) |
0.0984923 | + | 0.995138i | \(0.468598\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.22844 | − | 43.3198i | 0.254063 | − | 1.76705i | −0.319208 | − | 0.947685i | \(-0.603417\pi\) |
0.573271 | − | 0.819366i | \(-0.305674\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −7.80277 | + | 2.47323i | −0.317753 | + | 0.100718i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.57535 | − | 10.9568i | 0.0640471 | − | 0.445457i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.1529 | − | 6.21105i | −0.858570 | − | 0.252099i | −0.177323 | − | 0.984153i | \(-0.556744\pi\) |
−0.681247 | + | 0.732054i | \(0.738562\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 11.2672 | − | 7.24101i | 0.456571 | − | 0.293420i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −21.9083 | + | 47.9725i | −0.886315 | + | 1.94076i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.8211 | + | 12.4882i | −0.437059 | + | 0.504393i | −0.930958 | − | 0.365126i | \(-0.881026\pi\) |
0.493899 | + | 0.869519i | \(0.335571\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.29126 | + | 9.39655i | 0.173040 | + | 0.378905i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 41.7400 | + | 12.2560i | 1.68039 | + | 0.493407i | 0.976249 | − | 0.216653i | \(-0.0695139\pi\) |
0.704141 | + | 0.710060i | \(0.251332\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.2544 | − | 9.16076i | −0.572934 | − | 0.368202i | 0.221863 | − | 0.975078i | \(-0.428786\pi\) |
−0.794797 | + | 0.606876i | \(0.792423\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 6.96682 | + | 2.04564i | 0.279569 | + | 0.0820888i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 24.4264 | + | 28.1896i | 0.978624 | + | 1.12939i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −17.0484 | + | 19.6749i | −0.681937 | + | 0.786997i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 18.5562 | − | 5.44860i | 0.741064 | − | 0.217596i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 8.18968 | − | 2.40471i | 0.326544 | − | 0.0958819i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.9183 | − | 26.0975i | 0.474461 | − | 1.03892i | −0.509489 | − | 0.860477i | \(-0.670166\pi\) |
0.983950 | − | 0.178447i | \(-0.0571072\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −23.7877 | −0.945477 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −21.9609 | + | 25.3443i | −0.871493 | + | 1.00576i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.39636 | + | 44.4877i | 0.253433 | + | 1.76267i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.42066 | + | 11.8696i | −0.214438 | + | 0.469553i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 25.3570 | 1.00154 | 0.500771 | − | 0.865580i | \(-0.333050\pi\) | ||||
0.500771 | + | 0.865580i | \(0.333050\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 11.0986 | − | 7.13266i | 0.437687 | − | 0.281284i | −0.303183 | − | 0.952932i | \(-0.598049\pi\) |
0.740871 | + | 0.671648i | \(0.234413\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.12920 | + | 9.04169i | 0.162587 | + | 0.356016i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 13.9380 | + | 16.0853i | 0.547958 | + | 0.632377i | 0.960406 | − | 0.278604i | \(-0.0898718\pi\) |
−0.412448 | + | 0.910981i | \(0.635326\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.0643 | + | 7.11057i | −0.434310 | + | 0.279114i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.139015 | + | 0.966872i | 0.00544843 | + | 0.0378947i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −16.1863 | + | 4.75272i | −0.633418 | + | 0.185988i | −0.582651 | − | 0.812722i | \(-0.697985\pi\) |
−0.0507665 | + | 0.998711i | \(0.516166\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.98348 | + | 55.5263i | 0.311940 | + | 2.16959i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −2.11924 | − | 4.64048i | −0.0826793 | − | 0.181042i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.4380 | − | 8.63605i | −0.523468 | − | 0.336413i | 0.252074 | − | 0.967708i | \(-0.418887\pi\) |
−0.775543 | + | 0.631295i | \(0.782524\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.49668 | − | 10.4096i | 0.0582140 | − | 0.404887i | −0.939791 | − | 0.341750i | \(-0.888980\pi\) |
0.998005 | − | 0.0631373i | \(-0.0201106\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.861714 | + | 5.99335i | −0.0334662 | + | 0.232762i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −88.9274 | − | 57.1502i | −3.44846 | − | 2.21619i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.8442 | − | 18.2852i | −0.613491 | − | 0.708007i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 8.26404 | 0.319506 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −35.7229 | −1.37907 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.9413 | + | 16.0891i | 0.537398 | + | 0.620190i | 0.957900 | − | 0.287101i | \(-0.0926916\pi\) |
−0.420502 | + | 0.907291i | \(0.638146\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 8.47024 | + | 5.44349i | 0.326020 | + | 0.209520i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 0.578717 | − | 4.02506i | 0.0222419 | − | 0.154696i | −0.975674 | − | 0.219228i | \(-0.929646\pi\) |
0.997916 | + | 0.0645318i | \(0.0205554\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −9.55289 | + | 66.4418i | −0.366606 | + | 2.54980i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −14.4639 | − | 9.29540i | −0.554259 | − | 0.356201i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −10.8576 | − | 23.7748i | −0.415454 | − | 0.909717i | −0.995467 | − | 0.0951097i | \(-0.969680\pi\) |
0.580013 | − | 0.814607i | \(-0.303047\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.00201 | + | 34.7897i | 0.191117 | + | 1.32925i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −26.4562 | + | 7.76825i | −1.00937 | + | 0.296377i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.70452 | − | 39.6758i | −0.217325 | − | 1.51153i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.0127 | − | 9.00543i | 0.533069 | − | 0.342583i | −0.246254 | − | 0.969205i | \(-0.579200\pi\) |
0.779323 | + | 0.626623i | \(0.215563\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −7.51355 | − | 8.67110i | −0.285416 | − | 0.329388i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 25.7204 | + | 56.3198i | 0.975629 | + | 2.13633i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.76125 | + | 1.77455i | −0.104590 | + | 0.0672158i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −6.72607 | −0.254404 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 13.6815 | − | 29.9583i | 0.516743 | − | 1.13151i | −0.453915 | − | 0.891045i | \(-0.649973\pi\) |
0.970658 | − | 0.240464i | \(-0.0772997\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.67229 | − | 46.4068i | −0.251650 | − | 1.75026i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −27.3093 | + | 31.5167i | −1.02853 | + | 1.18699i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −43.2273 | −1.62573 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 13.5491 | − | 29.6684i | 0.508847 | − | 1.11422i | −0.464644 | − | 0.885497i | \(-0.653818\pi\) |
0.973492 | − | 0.228723i | \(-0.0734549\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 3.40677 | − | 1.00032i | 0.127764 | − | 0.0375148i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.69311 | − | 0.497143i | 0.0634076 | − | 0.0186182i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −35.6223 | + | 41.1103i | −1.33220 | + | 1.53744i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 10.7447 | + | 12.4000i | 0.401267 | + | 0.463087i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −25.0890 | − | 7.36679i | −0.935661 | − | 0.274735i | −0.221856 | − | 0.975079i | \(-0.571211\pi\) |
−0.713805 | + | 0.700345i | \(0.753030\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23.3587 | + | 15.0117i | 0.869923 | + | 0.559066i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 7.75305 | + | 2.27650i | 0.288339 | + | 0.0846640i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −13.9374 | − | 30.5186i | −0.517621 | − | 1.13343i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.88250 | + | 2.17252i | −0.0698179 | + | 0.0805742i | −0.789584 | − | 0.613643i | \(-0.789704\pi\) |
0.719766 | + | 0.694217i | \(0.244249\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −2.65697 | + | 1.70753i | −0.0982716 | + | 0.0631553i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.19826 | + | 1.81997i | 0.228938 | + | 0.0672223i | 0.394189 | − | 0.919029i | \(-0.371025\pi\) |
−0.165251 | + | 0.986251i | \(0.552844\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −5.05789 | + | 35.1784i | −0.186563 | + | 1.29757i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 2.83073 | − | 23.1933i | 0.104271 | − | 0.854336i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.09698 | + | 7.62965i | −0.0403530 | + | 0.280661i | −1.00000 | 0.000546671i | \(-0.999826\pi\) | |
0.959647 | + | 0.281208i | \(0.0907351\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 31.9120 | + | 9.37021i | 1.17232 | + | 0.344223i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −30.1502 | + | 19.3763i | −1.10610 | + | 0.710849i | −0.960440 | − | 0.278485i | \(-0.910168\pi\) |
−0.145662 | + | 0.989334i | \(0.546531\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.32493 | − | 20.4187i | 0.341639 | − | 0.748085i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.91311 | + | 2.20785i | −0.0699972 | + | 0.0807811i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 9.63492 | + | 21.0975i | 0.352052 | + | 0.770887i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 37.1529 | + | 10.9091i | 1.35573 | + | 0.398078i | 0.877255 | − | 0.480025i | \(-0.159372\pi\) |
0.478473 | + | 0.878102i | \(0.341190\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 17.3129 | + | 11.1264i | 0.630919 | + | 0.405467i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 11.8549 | + | 3.48091i | 0.431444 | + | 0.126683i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.944943 | − | 1.09052i | −0.0343445 | − | 0.0396357i | 0.738317 | − | 0.674453i | \(-0.235621\pi\) |
−0.772662 | + | 0.634818i | \(0.781075\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −13.5731 | + | 15.6641i | −0.492671 | + | 0.568572i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 49.3883 | − | 14.5017i | 1.79033 | − | 0.525687i | 0.793741 | − | 0.608256i | \(-0.208131\pi\) |
0.996585 | + | 0.0825693i | \(0.0263126\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 54.1397 | − | 15.8968i | 1.95999 | − | 0.575504i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.98898 | + | 4.35526i | −0.0719118 | + | 0.157465i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −22.6183 | −0.816700 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −12.4086 | + | 14.3202i | −0.447464 | + | 0.516401i | −0.934007 | − | 0.357256i | \(-0.883712\pi\) |
0.486543 | + | 0.873657i | \(0.338258\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.907941 | + | 6.31487i | 0.0326987 | + | 0.227425i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −12.6693 | + | 27.7419i | −0.455684 | + | 0.997808i | 0.532766 | + | 0.846262i | \(0.321152\pi\) |
−0.988450 | + | 0.151546i | \(0.951575\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.44692 | 0.0878961 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −23.3991 | + | 15.0377i | −0.839439 | + | 0.539475i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 7.48963 | + | 16.4000i | 0.268344 | + | 0.587591i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −24.3924 | − | 28.1503i | −0.872829 | − | 1.00730i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.80322 | + | 1.80152i | −0.100179 | + | 0.0643810i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.0678668 | + | 0.472024i | 0.00242227 | + | 0.0168473i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.6645 | − | 3.71864i | 0.451442 | − | 0.132555i | −0.0481047 | − | 0.998842i | \(-0.515318\pi\) |
0.499547 | + | 0.866287i | \(0.333500\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.96596 | + | 27.5838i | 0.141192 | + | 0.982011i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −21.5970 | − | 47.2909i | −0.767901 | − | 1.68147i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −51.6819 | − | 33.2140i | −1.83528 | − | 1.17946i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 4.51082 | − | 31.3734i | 0.159982 | − | 1.11270i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −3.49390 | + | 24.3006i | −0.123760 | + | 0.860771i | 0.829476 | + | 0.558543i | \(0.188639\pi\) |
−0.953236 | + | 0.302228i | \(0.902270\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −11.1472 | − | 7.16386i | −0.394359 | − | 0.253439i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −6.07715 | − | 7.01340i | −0.214725 | − | 0.247806i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 14.5624 | 0.513896 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 113.289 | 3.99293 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.54651 | + | 11.0173i | 0.336053 | + | 0.387826i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −2.74714 | − | 1.76548i | −0.0965845 | − | 0.0620711i | 0.491457 | − | 0.870902i | \(-0.336464\pi\) |
−0.588042 | + | 0.808831i | \(0.700101\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.59845 | − | 18.0726i | 0.0912438 | − | 0.634614i | −0.891962 | − | 0.452111i | \(-0.850671\pi\) |
0.983205 | − | 0.182503i | \(-0.0584199\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.04695 | + | 14.2369i | −0.0717897 | + | 0.499308i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −47.3266 | − | 30.4149i | −1.65778 | − | 1.06539i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.20678 | + | 15.7807i | 0.252133 | + | 0.552095i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.80809 | − | 19.5307i | −0.0981226 | − | 0.682458i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 23.1605 | − | 6.80055i | 0.808308 | − | 0.237341i | 0.148634 | − | 0.988892i | \(-0.452512\pi\) |
0.659674 | + | 0.751552i | \(0.270694\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.60885 | + | 39.0104i | 0.195512 | + | 1.35982i | 0.817111 | + | 0.576481i | \(0.195575\pi\) |
−0.621598 | + | 0.783336i | \(0.713516\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −24.1786 | + | 15.5387i | −0.841792 | + | 0.540987i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 18.6925 | + | 21.5722i | 0.650000 | + | 0.750140i | 0.981110 | − | 0.193452i | \(-0.0619684\pi\) |
−0.331109 | + | 0.943592i | \(0.607423\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −19.1270 | − | 41.8824i | −0.664309 | − | 1.45463i | −0.878451 | − | 0.477832i | \(-0.841423\pi\) |
0.214142 | − | 0.976802i | \(-0.431304\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 14.5045 | − | 9.32148i | 0.503156 | − | 0.323359i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −11.2926 | −0.391266 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −17.4900 | + | 38.2977i | −0.605265 | + | 1.32535i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.0345861 | − | 0.240552i | −0.00119547 | − | 0.00831468i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −31.4260 | + | 36.2675i | −1.08495 | + | 1.25209i | −0.119126 | + | 0.992879i | \(0.538009\pi\) |
−0.965820 | + | 0.259215i | \(0.916536\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.8965 | −0.617121 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 2.83781 | − | 6.21393i | 0.0977393 | − | 0.214019i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −41.3396 | + | 12.1384i | −1.42213 | + | 0.417574i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −10.9975 | + | 3.22915i | −0.377877 | + | 0.110955i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 7.91694 | − | 9.13663i | 0.271709 | − | 0.313568i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 32.9044 | + | 37.9737i | 1.12795 | + | 1.30172i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −54.3296 | − | 15.9526i | −1.86021 | − | 0.546207i | −0.999298 | − | 0.0374531i | \(-0.988076\pi\) |
−0.860912 | − | 0.508754i | \(-0.830106\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 22.1246 | + | 14.2186i | 0.756645 | + | 0.486266i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 31.8974 | + | 9.36591i | 1.08959 | + | 0.319933i | 0.776710 | − | 0.629858i | \(-0.216887\pi\) |
0.312883 | + | 0.949792i | \(0.398705\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.55623 | + | 9.97675i | 0.155457 | + | 0.340402i | 0.971295 | − | 0.237877i | \(-0.0764516\pi\) |
−0.815839 | + | 0.578280i | \(0.803724\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 7.00447 | − | 8.08359i | 0.238712 | − | 0.275488i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 18.0244 | − | 39.4680i | 0.613558 | − | 1.34350i | −0.306555 | − | 0.951853i | \(-0.599176\pi\) |
0.920113 | − | 0.391652i | \(-0.128096\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.2191 | + | 7.85271i | −0.415460 | + | 0.267000i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 14.8517 | + | 4.36084i | 0.504389 | + | 0.148102i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.44240 | + | 10.0321i | −0.0489302 | + | 0.340317i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 25.6597 | − | 30.9228i | 0.869445 | − | 1.04778i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.37670 | − | 16.5303i | 0.0804391 | − | 0.559466i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 75.8798 | + | 22.2803i | 2.56521 | + | 0.753212i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.20892 | + | 5.91821i | −0.310963 | + | 0.199844i | −0.686808 | − | 0.726839i | \(-0.740989\pi\) |
0.375845 | + | 0.926682i | \(0.377352\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 7.95074 | − | 17.4097i | 0.268172 | − | 0.587215i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 24.2272 | − | 27.9596i | 0.816234 | − | 0.941984i | −0.182920 | − | 0.983128i | \(-0.558555\pi\) |
0.999153 | + | 0.0411442i | \(0.0131003\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.6803 | − | 51.8526i | −0.796906 | − | 1.74498i | −0.655730 | − | 0.754996i | \(-0.727639\pi\) |
−0.141176 | − | 0.989985i | \(-0.545088\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −17.1608 | − | 5.03887i | −0.576854 | − | 0.169380i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 29.9006 | + | 19.2159i | 1.00396 | + | 0.645208i | 0.935824 | − | 0.352468i | \(-0.114657\pi\) |
0.0681392 | + | 0.997676i | \(0.478294\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 33.3171 | + | 9.78279i | 1.11742 | + | 0.328104i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.86932 | + | 2.15732i | 0.0626247 | + | 0.0722728i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −47.6636 | + | 55.0067i | −1.59500 | + | 1.84073i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −38.3518 | + | 11.2611i | −1.28196 | + | 0.376417i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −34.2007 | + | 10.0422i | −1.14193 | + | 0.335300i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.336406 | + | 0.736626i | −0.0112198 | + | 0.0245679i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 10.0712 | 0.335520 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 6.73995 | − | 7.77832i | 0.224292 | − | 0.258846i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 12.4577 | + | 86.6451i | 0.414107 | + | 2.88018i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 4.38828 | − | 9.60898i | 0.145710 | − | 0.319061i | −0.822678 | − | 0.568507i | \(-0.807521\pi\) |
0.968389 | + | 0.249446i | \(0.0802485\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 10.7547 | 0.356710 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.3912 | − | 10.5340i | 0.543064 | − | 0.349006i | −0.240172 | − | 0.970730i | \(-0.577204\pi\) |
0.783236 | + | 0.621724i | \(0.213568\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.46426 | − | 7.58566i | −0.114650 | − | 0.251049i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −31.8124 | − | 36.7135i | −1.05169 | − | 1.21371i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 48.8644 | − | 31.4033i | 1.61365 | − | 1.03703i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.33396 | + | 9.27790i | 0.0440033 | + | 0.306050i | 0.999923 | + | 0.0124210i | \(0.00395381\pi\) |
−0.955920 | + | 0.293629i | \(0.905137\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.11703 | − | 0.915242i | 0.102710 | − | 0.0301583i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −9.11634 | − | 63.4055i | −0.300068 | − | 2.08702i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.9443 | + | 63.3793i | 0.951684 | + | 2.08390i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −5.81150 | − | 3.73482i | −0.190875 | − | 0.122668i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 2.48848 | − | 17.3078i | 0.0816444 | − | 0.567849i | −0.907404 | − | 0.420259i | \(-0.861939\pi\) |
0.989049 | − | 0.147590i | \(-0.0471516\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −8.82764 | + | 61.3976i | −0.289314 | + | 2.01222i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 13.0738 | + | 8.40204i | 0.428018 | + | 0.275070i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −8.95022 | − | 10.3291i | −0.292703 | − | 0.337798i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −27.5893 | −0.901304 | −0.450652 | − | 0.892700i | \(-0.648809\pi\) | ||||
−0.450652 | + | 0.892700i | \(0.648809\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −9.62973 | −0.314254 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −3.07707 | − | 3.55113i | −0.100310 | − | 0.115763i | 0.703375 | − | 0.710819i | \(-0.251675\pi\) |
−0.803685 | + | 0.595056i | \(0.797130\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −16.2550 | − | 10.4464i | −0.529334 | − | 0.340183i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 2.22048 | − | 15.4438i | 0.0722322 | − | 0.502386i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.14064 | + | 21.8436i | −0.102057 | + | 0.709822i | 0.872976 | + | 0.487763i | \(0.162187\pi\) |
−0.975033 | + | 0.222059i | \(0.928722\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 21.0681 | + | 13.5396i | 0.683898 | + | 0.439515i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −10.3746 | − | 22.7171i | −0.336418 | − | 0.736653i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.11412 | − | 14.7040i | −0.0684830 | − | 0.476310i | −0.994985 | − | 0.100021i | \(-0.968109\pi\) |
0.926502 | − | 0.376289i | \(-0.122800\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −78.7404 | + | 23.1203i | −2.54798 | + | 0.748154i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −1.35368 | − | 9.41505i | −0.0437582 | − | 0.304345i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 30.6157 | − | 19.6755i | 0.988634 | − | 0.635356i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 20.2620 | + | 23.3836i | 0.653613 | + | 0.754310i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.39711 | − | 5.24894i | −0.0772458 | − | 0.169145i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −60.9640 | + | 39.1792i | −1.96250 | + | 1.26122i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.32352 | −0.0425614 | −0.0212807 | − | 0.999774i | \(-0.506774\pi\) | ||||
−0.0212807 | + | 0.999774i | \(0.506774\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.47141 | + | 7.60134i | −0.111518 | + | 0.244190i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 5.31372 | + | 36.9577i | 0.170525 | + | 1.18603i | 0.877777 | + | 0.479069i | \(0.159025\pi\) |
−0.707252 | + | 0.706961i | \(0.750065\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 41.9825 | − | 48.4503i | 1.34590 | − | 1.55325i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −49.4276 | −1.58295 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −21.8121 | + | 47.7618i | −0.697831 | + | 1.52804i | 0.144751 | + | 0.989468i | \(0.453762\pi\) |
−0.842582 | + | 0.538568i | \(0.818965\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 25.4172 | − | 7.46318i | 0.812339 | − | 0.238524i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −13.4696 | + | 3.95504i | −0.430052 | + | 0.126275i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 4.81579 | − | 5.55772i | 0.153600 | − | 0.177264i | −0.673734 | − | 0.738974i | \(-0.735311\pi\) |
0.827334 | + | 0.561710i | \(0.189856\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 27.1611 | + | 31.3456i | 0.865425 | + | 0.998753i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 41.4312 | + | 12.1653i | 1.31877 | + | 0.387226i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −15.6411 | − | 10.0519i | −0.497358 | − | 0.319632i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.86337 | − | 1.72164i | −0.186256 | − | 0.0546897i | 0.187274 | − | 0.982308i | \(-0.440035\pi\) |
−0.373530 | + | 0.927618i | \(0.621853\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −11.3305 | − | 24.8104i | −0.359564 | − | 0.787335i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 32.9514 | − | 38.0280i | 1.04463 | − | 1.20557i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.70031 | − | 16.8613i | 0.243871 | − | 0.534004i | −0.747628 | − | 0.664118i | \(-0.768807\pi\) |
0.991499 | + | 0.130114i | \(0.0415344\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 5.82156 | − | 3.74129i | 0.184186 | − | 0.118369i |
(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 | 804.2.q.a.193.6 | yes | 60 | |
67.25 | even | 11 | inner | 804.2.q.a.25.6 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.a.25.6 | ✓ | 60 | 67.25 | even | 11 | inner | |
804.2.q.a.193.6 | yes | 60 | 1.1 | even | 1 | trivial |