Newspace parameters
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 106.2 | ||
Character | \(\chi\) | \(=\) | 225.106 |
Dual form | 225.2.q.a.121.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.47708 | − | 0.526519i | −1.75156 | − | 0.372305i | −0.783181 | − | 0.621794i | \(-0.786404\pi\) |
−0.968378 | + | 0.249489i | \(0.919737\pi\) | |||||||
\(3\) | −1.29428 | + | 1.15102i | −0.747251 | + | 0.664542i | ||||
\(4\) | 4.03160 | + | 1.79498i | 2.01580 | + | 0.897492i | ||||
\(5\) | 1.67112 | − | 1.48572i | 0.747348 | − | 0.664433i | ||||
\(6\) | 3.81206 | − | 2.16971i | 1.55627 | − | 0.885779i | ||||
\(7\) | −1.03406 | + | 1.79105i | −0.390839 | + | 0.676953i | −0.992560 | − | 0.121753i | \(-0.961148\pi\) |
0.601721 | + | 0.798706i | \(0.294482\pi\) | |||||||
\(8\) | −4.94396 | − | 3.59200i | −1.74795 | − | 1.26996i | ||||
\(9\) | 0.350302 | − | 2.97948i | 0.116767 | − | 0.993159i | ||||
\(10\) | −4.92175 | + | 2.80036i | −1.55640 | + | 0.885552i | ||||
\(11\) | −2.39587 | − | 0.509257i | −0.722381 | − | 0.153547i | −0.167973 | − | 0.985792i | \(-0.553722\pi\) |
−0.554408 | + | 0.832245i | \(0.687055\pi\) | |||||||
\(12\) | −7.28407 | + | 2.31725i | −2.10273 | + | 0.668933i | ||||
\(13\) | 1.74601 | − | 0.371125i | 0.484255 | − | 0.102932i | 0.0406862 | − | 0.999172i | \(-0.487046\pi\) |
0.443569 | + | 0.896240i | \(0.353712\pi\) | |||||||
\(14\) | 3.50448 | − | 3.89212i | 0.936611 | − | 1.04021i | ||||
\(15\) | −0.452799 | + | 3.84642i | −0.116912 | + | 0.993142i | ||||
\(16\) | 4.44939 | + | 4.94155i | 1.11235 | + | 1.23539i | ||||
\(17\) | 3.67466 | + | 2.66979i | 0.891235 | + | 0.647520i | 0.936200 | − | 0.351469i | \(-0.114318\pi\) |
−0.0449649 | + | 0.998989i | \(0.514318\pi\) | |||||||
\(18\) | −2.43648 | + | 7.19596i | −0.574283 | + | 1.69610i | ||||
\(19\) | 5.85004 | + | 4.25031i | 1.34209 | + | 0.975087i | 0.999364 | + | 0.0356524i | \(0.0113509\pi\) |
0.342728 | + | 0.939435i | \(0.388649\pi\) | |||||||
\(20\) | 9.40413 | − | 2.99019i | 2.10283 | − | 0.668626i | ||||
\(21\) | −0.723173 | − | 3.50834i | −0.157809 | − | 0.765583i | ||||
\(22\) | 5.66661 | + | 2.52294i | 1.20813 | + | 0.537892i | ||||
\(23\) | 1.58401 | − | 1.75922i | 0.330288 | − | 0.366822i | −0.555012 | − | 0.831842i | \(-0.687286\pi\) |
0.885300 | + | 0.465020i | \(0.153953\pi\) | |||||||
\(24\) | 10.5333 | − | 1.04156i | 2.15010 | − | 0.212608i | ||||
\(25\) | 0.585285 | − | 4.96563i | 0.117057 | − | 0.993125i | ||||
\(26\) | −4.52040 | −0.886523 | ||||||||
\(27\) | 2.97605 | + | 4.25947i | 0.572742 | + | 0.819736i | ||||
\(28\) | −7.38384 | + | 5.36467i | −1.39541 | + | 1.01383i | ||||
\(29\) | 0.855066 | + | 8.13541i | 0.158782 | + | 1.51071i | 0.726318 | + | 0.687359i | \(0.241230\pi\) |
−0.567536 | + | 0.823349i | \(0.692103\pi\) | |||||||
\(30\) | 3.14683 | − | 9.28948i | 0.574531 | − | 1.69602i | ||||
\(31\) | −0.709441 | + | 6.74988i | −0.127419 | + | 1.21231i | 0.724736 | + | 0.689026i | \(0.241962\pi\) |
−0.852156 | + | 0.523288i | \(0.824705\pi\) | |||||||
\(32\) | −2.30859 | − | 3.99860i | −0.408105 | − | 0.706859i | ||||
\(33\) | 3.68708 | − | 2.09857i | 0.641838 | − | 0.365315i | ||||
\(34\) | −7.69671 | − | 8.54806i | −1.31997 | − | 1.46598i | ||||
\(35\) | 0.932951 | + | 4.52939i | 0.157698 | + | 0.765606i | ||||
\(36\) | 6.76040 | − | 11.3833i | 1.12673 | − | 1.89721i | ||||
\(37\) | 1.53985 | − | 4.73917i | 0.253150 | − | 0.779115i | −0.741039 | − | 0.671462i | \(-0.765667\pi\) |
0.994189 | − | 0.107653i | \(-0.0343334\pi\) | |||||||
\(38\) | −12.2531 | − | 13.6085i | −1.98772 | − | 2.20759i | ||||
\(39\) | −1.83264 | + | 2.49003i | −0.293457 | + | 0.398723i | ||||
\(40\) | −13.5986 | + | 1.34267i | −2.15013 | + | 0.212295i | ||||
\(41\) | 4.68289 | − | 0.995378i | 0.731344 | − | 0.155452i | 0.172835 | − | 0.984951i | \(-0.444707\pi\) |
0.558508 | + | 0.829499i | \(0.311374\pi\) | |||||||
\(42\) | −0.0558547 | + | 9.07120i | −0.00861857 | + | 1.39972i | ||||
\(43\) | 4.14034 | − | 7.17127i | 0.631395 | − | 1.09361i | −0.355871 | − | 0.934535i | \(-0.615816\pi\) |
0.987267 | − | 0.159074i | \(-0.0508508\pi\) | |||||||
\(44\) | −8.74507 | − | 6.35367i | −1.31837 | − | 0.957851i | ||||
\(45\) | −3.84127 | − | 5.49952i | −0.572622 | − | 0.819819i | ||||
\(46\) | −4.84997 | + | 3.52371i | −0.715088 | + | 0.519542i | ||||
\(47\) | 1.05889 | + | 10.0746i | 0.154455 | + | 1.46954i | 0.747443 | + | 0.664326i | \(0.231281\pi\) |
−0.592988 | + | 0.805211i | \(0.702052\pi\) | |||||||
\(48\) | −11.4466 | − | 1.27439i | −1.65217 | − | 0.183942i | ||||
\(49\) | 1.36143 | + | 2.35806i | 0.194489 | + | 0.336866i | ||||
\(50\) | −4.06429 | + | 11.9921i | −0.574778 | + | 1.69594i | ||||
\(51\) | −7.82901 | + | 0.774155i | −1.09628 | + | 0.108403i | ||||
\(52\) | 7.70536 | + | 1.63783i | 1.06854 | + | 0.227125i | ||||
\(53\) | −2.52356 | + | 1.83348i | −0.346638 | + | 0.251847i | −0.747457 | − | 0.664310i | \(-0.768726\pi\) |
0.400819 | + | 0.916157i | \(0.368726\pi\) | |||||||
\(54\) | −5.12922 | − | 12.1180i | −0.697999 | − | 1.64905i | ||||
\(55\) | −4.76039 | + | 2.70855i | −0.641891 | + | 0.365221i | ||||
\(56\) | 11.5458 | − | 5.14053i | 1.54287 | − | 0.686932i | ||||
\(57\) | −12.4638 | + | 1.23245i | −1.65087 | + | 0.163242i | ||||
\(58\) | 2.16538 | − | 20.6023i | 0.284329 | − | 2.70521i | ||||
\(59\) | −10.2183 | + | 2.17198i | −1.33032 | + | 0.282767i | −0.817598 | − | 0.575790i | \(-0.804695\pi\) |
−0.512718 | + | 0.858557i | \(0.671361\pi\) | |||||||
\(60\) | −8.72978 | + | 14.6945i | −1.12701 | + | 1.89705i | ||||
\(61\) | 2.57932 | + | 0.548251i | 0.330248 | + | 0.0701964i | 0.370052 | − | 0.929011i | \(-0.379340\pi\) |
−0.0398037 | + | 0.999208i | \(0.512673\pi\) | |||||||
\(62\) | 5.31128 | − | 16.3465i | 0.674534 | − | 2.07600i | ||||
\(63\) | 4.97416 | + | 3.70838i | 0.626685 | + | 0.467212i | ||||
\(64\) | −0.496397 | − | 1.52775i | −0.0620496 | − | 0.190969i | ||||
\(65\) | 2.36640 | − | 3.21427i | 0.293516 | − | 0.398681i | ||||
\(66\) | −10.2381 | + | 3.25701i | −1.26023 | + | 0.400910i | ||||
\(67\) | 0.170417 | − | 1.62141i | 0.0208197 | − | 0.198086i | −0.979168 | − | 0.203052i | \(-0.934914\pi\) |
0.999988 | + | 0.00496571i | \(0.00158064\pi\) | |||||||
\(68\) | 10.0225 | + | 17.3595i | 1.21541 | + | 2.10515i | ||||
\(69\) | −0.0252460 | + | 4.10014i | −0.00303927 | + | 0.493598i | ||||
\(70\) | 0.0738159 | − | 11.7109i | 0.00882269 | − | 1.39972i | ||||
\(71\) | 8.24169 | − | 5.98794i | 0.978109 | − | 0.710638i | 0.0208238 | − | 0.999783i | \(-0.493371\pi\) |
0.957285 | + | 0.289145i | \(0.0933711\pi\) | |||||||
\(72\) | −12.4342 | + | 13.4721i | −1.46538 | + | 1.58771i | ||||
\(73\) | −0.608028 | − | 1.87132i | −0.0711643 | − | 0.219021i | 0.909148 | − | 0.416472i | \(-0.136734\pi\) |
−0.980313 | + | 0.197451i | \(0.936734\pi\) | |||||||
\(74\) | −6.30959 | + | 10.9285i | −0.733475 | + | 1.27042i | ||||
\(75\) | 4.95802 | + | 7.10057i | 0.572503 | + | 0.819903i | ||||
\(76\) | 15.9558 | + | 27.6363i | 1.83026 | + | 3.17010i | ||||
\(77\) | 3.38958 | − | 3.76451i | 0.386279 | − | 0.429006i | ||||
\(78\) | 5.85064 | − | 5.20307i | 0.662455 | − | 0.589132i | ||||
\(79\) | −1.55944 | − | 14.8370i | −0.175450 | − | 1.66930i | −0.628499 | − | 0.777811i | \(-0.716330\pi\) |
0.453048 | − | 0.891486i | \(-0.350336\pi\) | |||||||
\(80\) | 14.7772 | + | 1.64738i | 1.65214 | + | 0.184183i | ||||
\(81\) | −8.75458 | − | 2.08743i | −0.972731 | − | 0.231937i | ||||
\(82\) | −12.1240 | −1.33887 | ||||||||
\(83\) | 3.70931 | − | 1.65149i | 0.407150 | − | 0.181275i | −0.192934 | − | 0.981212i | \(-0.561800\pi\) |
0.600084 | + | 0.799937i | \(0.295134\pi\) | |||||||
\(84\) | 3.38188 | − | 15.4423i | 0.368993 | − | 1.68490i | ||||
\(85\) | 10.1074 | − | 0.997956i | 1.09630 | − | 0.108243i | ||||
\(86\) | −14.0318 | + | 15.5838i | −1.51308 | + | 1.68045i | ||||
\(87\) | −10.4707 | − | 9.54527i | −1.12258 | − | 1.02336i | ||||
\(88\) | 10.0158 | + | 11.1237i | 1.06769 | + | 1.18579i | ||||
\(89\) | 0.105993 | + | 0.326212i | 0.0112352 | + | 0.0345784i | 0.956517 | − | 0.291677i | \(-0.0942131\pi\) |
−0.945282 | + | 0.326255i | \(0.894213\pi\) | |||||||
\(90\) | 6.61952 | + | 15.6452i | 0.697758 | + | 1.64915i | ||||
\(91\) | −1.14078 | + | 3.51095i | −0.119586 | + | 0.368048i | ||||
\(92\) | 9.54385 | − | 4.24919i | 0.995015 | − | 0.443009i | ||||
\(93\) | −6.85104 | − | 9.55279i | −0.710420 | − | 0.990579i | ||||
\(94\) | 2.68154 | − | 25.5132i | 0.276580 | − | 2.63148i | ||||
\(95\) | 16.0909 | − | 1.58874i | 1.65089 | − | 0.163002i | ||||
\(96\) | 7.59043 | + | 2.51805i | 0.774695 | + | 0.256998i | ||||
\(97\) | 1.15152 | + | 10.9560i | 0.116920 | + | 1.11242i | 0.882903 | + | 0.469555i | \(0.155586\pi\) |
−0.765983 | + | 0.642860i | \(0.777748\pi\) | |||||||
\(98\) | −2.13079 | − | 6.55791i | −0.215243 | − | 0.662449i | ||||
\(99\) | −2.35660 | + | 6.96004i | −0.236847 | + | 0.699510i | ||||
\(100\) | 11.2729 | − | 18.9688i | 1.12729 | − | 1.89688i | ||||
\(101\) | 6.38861 | − | 11.0654i | 0.635691 | − | 1.10105i | −0.350677 | − | 0.936496i | \(-0.614049\pi\) |
0.986368 | − | 0.164553i | \(-0.0526180\pi\) | |||||||
\(102\) | 19.8007 | + | 2.20448i | 1.96056 | + | 0.218276i | ||||
\(103\) | −8.38725 | − | 3.73425i | −0.826421 | − | 0.367946i | −0.0504589 | − | 0.998726i | \(-0.516068\pi\) |
−0.775962 | + | 0.630780i | \(0.782735\pi\) | |||||||
\(104\) | −9.96526 | − | 4.43682i | −0.977174 | − | 0.435066i | ||||
\(105\) | −6.42092 | − | 4.78843i | −0.626617 | − | 0.467303i | ||||
\(106\) | 7.21643 | − | 3.21296i | 0.700921 | − | 0.312070i | ||||
\(107\) | 0.980681 | 0.0948061 | 0.0474030 | − | 0.998876i | \(-0.484905\pi\) | ||||
0.0474030 | + | 0.998876i | \(0.484905\pi\) | |||||||
\(108\) | 4.35257 | + | 22.5145i | 0.418827 | + | 2.16646i | ||||
\(109\) | −2.74384 | + | 8.44467i | −0.262812 | + | 0.808853i | 0.729377 | + | 0.684112i | \(0.239810\pi\) |
−0.992189 | + | 0.124741i | \(0.960190\pi\) | |||||||
\(110\) | 13.2180 | − | 4.20286i | 1.26028 | − | 0.400727i | ||||
\(111\) | 3.46189 | + | 7.90619i | 0.328588 | + | 0.750423i | ||||
\(112\) | −13.4515 | + | 2.85921i | −1.27105 | + | 0.270170i | ||||
\(113\) | −6.63465 | + | 1.41024i | −0.624135 | + | 0.132664i | −0.509114 | − | 0.860699i | \(-0.670027\pi\) |
−0.115021 | + | 0.993363i | \(0.536694\pi\) | |||||||
\(114\) | 31.5226 | + | 3.50953i | 2.95236 | + | 0.328698i | ||||
\(115\) | 0.0333644 | − | 5.29325i | 0.00311125 | − | 0.493598i | ||||
\(116\) | −11.1557 | + | 34.3336i | −1.03578 | + | 3.18779i | ||||
\(117\) | −0.494129 | − | 5.33219i | −0.0456823 | − | 0.492961i | ||||
\(118\) | 26.4552 | 2.43540 | ||||||||
\(119\) | −8.58156 | + | 3.82076i | −0.786670 | + | 0.350248i | ||||
\(120\) | 16.0550 | − | 17.3901i | 1.46561 | − | 1.58749i | ||||
\(121\) | −4.56817 | − | 2.03388i | −0.415288 | − | 0.184898i | ||||
\(122\) | −6.10051 | − | 2.71612i | −0.552314 | − | 0.245906i | ||||
\(123\) | −4.91525 | + | 6.67839i | −0.443193 | + | 0.602170i | ||||
\(124\) | −14.9761 | + | 25.9394i | −1.34490 | + | 2.32943i | ||||
\(125\) | −6.39944 | − | 9.16773i | −0.572383 | − | 0.819986i | ||||
\(126\) | −10.3689 | − | 11.8049i | −0.923731 | − | 1.05167i | ||||
\(127\) | 3.08193 | + | 9.48521i | 0.273477 | + | 0.841676i | 0.989618 | + | 0.143721i | \(0.0459067\pi\) |
−0.716141 | + | 0.697955i | \(0.754093\pi\) | |||||||
\(128\) | 1.39048 | + | 13.2295i | 0.122902 | + | 1.16933i | ||||
\(129\) | 2.89555 | + | 14.0472i | 0.254939 | + | 1.23679i | ||||
\(130\) | −7.55412 | + | 6.71603i | −0.662541 | + | 0.589035i | ||||
\(131\) | 1.43811 | − | 13.6827i | 0.125648 | − | 1.19546i | −0.732029 | − | 0.681274i | \(-0.761426\pi\) |
0.857677 | − | 0.514189i | \(-0.171907\pi\) | |||||||
\(132\) | 18.6317 | − | 1.84236i | 1.62168 | − | 0.160357i | ||||
\(133\) | −13.6618 | + | 6.08264i | −1.18463 | + | 0.527432i | ||||
\(134\) | −1.27584 | + | 3.92662i | −0.110215 | + | 0.339208i | ||||
\(135\) | 11.3017 | + | 2.69651i | 0.972697 | + | 0.232079i | ||||
\(136\) | −8.57746 | − | 26.3987i | −0.735511 | − | 2.26367i | ||||
\(137\) | −5.70711 | − | 6.33838i | −0.487591 | − | 0.541525i | 0.448268 | − | 0.893899i | \(-0.352041\pi\) |
−0.935859 | + | 0.352374i | \(0.885374\pi\) | |||||||
\(138\) | 2.22134 | − | 10.1431i | 0.189093 | − | 0.863435i | ||||
\(139\) | −6.24293 | + | 6.93348i | −0.529518 | + | 0.588090i | −0.947256 | − | 0.320478i | \(-0.896157\pi\) |
0.417738 | + | 0.908568i | \(0.362823\pi\) | |||||||
\(140\) | −4.36889 | + | 19.9353i | −0.369239 | + | 1.68484i | ||||
\(141\) | −12.9666 | − | 11.8206i | −1.09199 | − | 0.995471i | ||||
\(142\) | −23.5681 | + | 10.4932i | −1.97779 | + | 0.880569i | ||||
\(143\) | −4.37219 | −0.365621 | ||||||||
\(144\) | 16.2819 | − | 11.5258i | 1.35682 | − | 0.960485i | ||||
\(145\) | 13.5158 | + | 12.3249i | 1.12243 | + | 1.02352i | ||||
\(146\) | 0.520848 | + | 4.95554i | 0.0431057 | + | 0.410123i | ||||
\(147\) | −4.47624 | − | 1.48495i | −0.369194 | − | 0.122477i | ||||
\(148\) | 14.7148 | − | 16.3424i | 1.20955 | − | 1.34334i | ||||
\(149\) | −3.47298 | − | 6.01538i | −0.284518 | − | 0.492799i | 0.687974 | − | 0.725735i | \(-0.258500\pi\) |
−0.972492 | + | 0.232936i | \(0.925167\pi\) | |||||||
\(150\) | −8.54281 | − | 20.1991i | −0.697518 | − | 1.64925i | ||||
\(151\) | 0.394205 | − | 0.682783i | 0.0320800 | − | 0.0555641i | −0.849540 | − | 0.527525i | \(-0.823120\pi\) |
0.881620 | + | 0.471961i | \(0.156454\pi\) | |||||||
\(152\) | −13.6553 | − | 42.0267i | −1.10759 | − | 3.40881i | ||||
\(153\) | 9.24183 | − | 10.0133i | 0.747158 | − | 0.809529i | ||||
\(154\) | −10.3783 | + | 7.54031i | −0.836311 | + | 0.607616i | ||||
\(155\) | 8.84286 | + | 12.3339i | 0.710276 | + | 0.990682i | ||||
\(156\) | −11.8580 | + | 6.74923i | −0.949403 | + | 0.540371i | ||||
\(157\) | −1.94393 | − | 3.36698i | −0.155142 | − | 0.268714i | 0.777969 | − | 0.628303i | \(-0.216250\pi\) |
−0.933111 | + | 0.359589i | \(0.882917\pi\) | |||||||
\(158\) | −3.94914 | + | 37.5736i | −0.314177 | + | 2.98919i | ||||
\(159\) | 1.15582 | − | 5.27770i | 0.0916625 | − | 0.418549i | ||||
\(160\) | −9.79873 | − | 3.25222i | −0.774657 | − | 0.257111i | ||||
\(161\) | 1.51288 | + | 4.65617i | 0.119232 | + | 0.366958i | ||||
\(162\) | 20.5867 | + | 9.78019i | 1.61744 | + | 0.768404i | ||||
\(163\) | 2.59370 | − | 7.98258i | 0.203154 | − | 0.625244i | −0.796630 | − | 0.604467i | \(-0.793386\pi\) |
0.999784 | − | 0.0207767i | \(-0.00661392\pi\) | |||||||
\(164\) | 20.6662 | + | 4.39274i | 1.61376 | + | 0.343015i | ||||
\(165\) | 3.04366 | − | 8.98493i | 0.236949 | − | 0.699475i | ||||
\(166\) | −10.0578 | + | 2.13785i | −0.780637 | + | 0.165929i | ||||
\(167\) | −1.12972 | + | 10.7486i | −0.0874207 | + | 0.831753i | 0.859684 | + | 0.510827i | \(0.170661\pi\) |
−0.947104 | + | 0.320926i | \(0.896006\pi\) | |||||||
\(168\) | −9.02662 | + | 19.9427i | −0.696419 | + | 1.53862i | ||||
\(169\) | −8.96529 | + | 3.99160i | −0.689638 | + | 0.307046i | ||||
\(170\) | −25.5621 | − | 2.84970i | −1.96053 | − | 0.218562i | ||||
\(171\) | 14.7130 | − | 15.9412i | 1.12513 | − | 1.21905i | ||||
\(172\) | 29.5645 | − | 21.4799i | 2.25427 | − | 1.63783i | ||||
\(173\) | 16.1013 | + | 3.42244i | 1.22416 | + | 0.260203i | 0.774255 | − | 0.632874i | \(-0.218125\pi\) |
0.449904 | + | 0.893077i | \(0.351458\pi\) | |||||||
\(174\) | 20.9110 | + | 29.1574i | 1.58526 | + | 2.21042i | ||||
\(175\) | 8.28846 | + | 6.18305i | 0.626549 | + | 0.467394i | ||||
\(176\) | −8.14362 | − | 14.1052i | −0.613849 | − | 1.06322i | ||||
\(177\) | 10.7254 | − | 14.5727i | 0.806168 | − | 1.09535i | ||||
\(178\) | −0.0907954 | − | 0.863860i | −0.00680540 | − | 0.0647491i | ||||
\(179\) | −0.422707 | + | 0.307115i | −0.0315946 | + | 0.0229548i | −0.603471 | − | 0.797385i | \(-0.706216\pi\) |
0.571876 | + | 0.820340i | \(0.306216\pi\) | |||||||
\(180\) | −5.61491 | − | 29.0669i | −0.418511 | − | 2.16652i | ||||
\(181\) | −18.6716 | − | 13.5657i | −1.38785 | − | 1.00833i | −0.996097 | − | 0.0882646i | \(-0.971868\pi\) |
−0.391756 | − | 0.920069i | \(-0.628132\pi\) | |||||||
\(182\) | 4.67438 | − | 8.09626i | 0.346488 | − | 0.600134i | ||||
\(183\) | −3.96940 | + | 2.25926i | −0.293427 | + | 0.167009i | ||||
\(184\) | −14.1504 | + | 3.00775i | −1.04318 | + | 0.221734i | ||||
\(185\) | −4.46780 | − | 10.2075i | −0.328479 | − | 0.750471i | ||||
\(186\) | 11.9408 | + | 27.2702i | 0.875545 | + | 1.99955i | ||||
\(187\) | −7.44437 | − | 8.26781i | −0.544386 | − | 0.604602i | ||||
\(188\) | −13.8148 | + | 42.5176i | −1.00755 | + | 3.10092i | ||||
\(189\) | −10.7064 | + | 0.925697i | −0.778773 | + | 0.0673346i | ||||
\(190\) | −40.6949 | − | 4.53672i | −2.95232 | − | 0.329128i | ||||
\(191\) | −0.671770 | − | 0.746076i | −0.0486076 | − | 0.0539842i | 0.718351 | − | 0.695681i | \(-0.244897\pi\) |
−0.766958 | + | 0.641697i | \(0.778231\pi\) | |||||||
\(192\) | 2.40095 | + | 1.40597i | 0.173274 | + | 0.101467i | ||||
\(193\) | 6.92614 | + | 11.9964i | 0.498554 | + | 0.863521i | 0.999999 | − | 0.00166856i | \(-0.000531120\pi\) |
−0.501444 | + | 0.865190i | \(0.667198\pi\) | |||||||
\(194\) | 2.91614 | − | 27.7452i | 0.209367 | − | 1.99199i | ||||
\(195\) | 0.636914 | + | 6.88392i | 0.0456104 | + | 0.492968i | ||||
\(196\) | 1.25605 | + | 11.9505i | 0.0897177 | + | 0.853607i | ||||
\(197\) | 6.40803 | − | 4.65571i | 0.456553 | − | 0.331705i | −0.335624 | − | 0.941996i | \(-0.608947\pi\) |
0.792178 | + | 0.610291i | \(0.208947\pi\) | |||||||
\(198\) | 9.50207 | − | 15.9998i | 0.675283 | − | 1.13705i | ||||
\(199\) | 14.6161 | 1.03611 | 0.518053 | − | 0.855348i | \(-0.326657\pi\) | ||||
0.518053 | + | 0.855348i | \(0.326657\pi\) | |||||||
\(200\) | −20.7301 | + | 22.4475i | −1.46584 | + | 1.58728i | ||||
\(201\) | 1.64571 | + | 2.29470i | 0.116079 | + | 0.161856i | ||||
\(202\) | −21.6512 | + | 24.0461i | −1.52338 | + | 1.69188i | ||||
\(203\) | −15.4551 | − | 6.88107i | −1.08474 | − | 0.482956i | ||||
\(204\) | −32.9530 | − | 10.9319i | −2.30717 | − | 0.765384i | ||||
\(205\) | 6.34681 | − | 8.62084i | 0.443281 | − | 0.602106i | ||||
\(206\) | 18.8097 | + | 13.6661i | 1.31054 | + | 0.952160i | ||||
\(207\) | −4.68667 | − | 5.33577i | −0.325746 | − | 0.370861i | ||||
\(208\) | 9.60259 | + | 6.97669i | 0.665820 | + | 0.483746i | ||||
\(209\) | −11.8514 | − | 13.1623i | −0.819780 | − | 0.910458i | ||||
\(210\) | 13.3839 | + | 15.2421i | 0.923577 | + | 1.05180i | ||||
\(211\) | 8.91267 | − | 9.89852i | 0.613574 | − | 0.681442i | −0.353647 | − | 0.935379i | \(-0.615059\pi\) |
0.967221 | + | 0.253936i | \(0.0817254\pi\) | |||||||
\(212\) | −13.4651 | + | 2.86209i | −0.924785 | + | 0.196569i | ||||
\(213\) | −3.77478 | + | 17.2364i | −0.258644 | + | 1.18102i | ||||
\(214\) | −2.42922 | − | 0.516348i | −0.166058 | − | 0.0352968i | ||||
\(215\) | −3.73549 | − | 18.1354i | −0.254758 | − | 1.23683i | ||||
\(216\) | 0.586523 | − | 31.7486i | 0.0399079 | − | 2.16022i | ||||
\(217\) | −11.3558 | − | 8.25045i | −0.770880 | − | 0.560077i | ||||
\(218\) | 11.2430 | − | 19.4734i | 0.761471 | − | 1.31891i | ||||
\(219\) | 2.94088 | + | 1.72215i | 0.198726 | + | 0.116372i | ||||
\(220\) | −24.0538 | + | 2.37497i | −1.62171 | + | 0.160120i | ||||
\(221\) | 7.40679 | + | 3.29772i | 0.498235 | + | 0.221828i | ||||
\(222\) | −4.41261 | − | 21.4070i | −0.296155 | − | 1.43674i | ||||
\(223\) | −3.56890 | − | 0.758594i | −0.238991 | − | 0.0507992i | 0.0868587 | − | 0.996221i | \(-0.472317\pi\) |
−0.325850 | + | 0.945421i | \(0.605650\pi\) | |||||||
\(224\) | 9.54893 | 0.638014 | ||||||||
\(225\) | −14.5899 | − | 3.48331i | −0.972663 | − | 0.232221i | ||||
\(226\) | 17.1771 | 1.14260 | ||||||||
\(227\) | −15.3712 | − | 3.26726i | −1.02023 | − | 0.216856i | −0.332713 | − | 0.943028i | \(-0.607964\pi\) |
−0.687513 | + | 0.726172i | \(0.741297\pi\) | |||||||
\(228\) | −52.4612 | − | 17.4035i | −3.47433 | − | 1.15258i | ||||
\(229\) | 5.48833 | + | 2.44356i | 0.362679 | + | 0.161475i | 0.579982 | − | 0.814629i | \(-0.303059\pi\) |
−0.217303 | + | 0.976104i | \(0.569726\pi\) | |||||||
\(230\) | −2.86964 | + | 13.0942i | −0.189219 | + | 0.863407i | ||||
\(231\) | −0.0540235 | + | 8.77380i | −0.00355449 | + | 0.577274i | ||||
\(232\) | 24.9950 | − | 43.2926i | 1.64100 | − | 2.84230i | ||||
\(233\) | −0.484321 | − | 0.351880i | −0.0317289 | − | 0.0230524i | 0.571808 | − | 0.820388i | \(-0.306242\pi\) |
−0.603537 | + | 0.797335i | \(0.706242\pi\) | |||||||
\(234\) | −1.58350 | + | 13.4684i | −0.103517 | + | 0.880458i | ||||
\(235\) | 16.7376 | + | 15.2627i | 1.09184 | + | 0.995630i | ||||
\(236\) | −45.0950 | − | 9.58523i | −2.93543 | − | 0.623945i | ||||
\(237\) | 19.0961 | + | 17.4083i | 1.24042 | + | 1.13079i | ||||
\(238\) | 23.2689 | − | 4.94596i | 1.50830 | − | 0.320599i | ||||
\(239\) | 0.786263 | − | 0.873234i | 0.0508592 | − | 0.0564848i | −0.717178 | − | 0.696890i | \(-0.754567\pi\) |
0.768038 | + | 0.640405i | \(0.221233\pi\) | |||||||
\(240\) | −21.0220 | + | 14.8767i | −1.35696 | + | 0.960287i | ||||
\(241\) | 12.0251 | + | 13.3552i | 0.774604 | + | 0.860284i | 0.993307 | − | 0.115507i | \(-0.0368493\pi\) |
−0.218703 | + | 0.975791i | \(0.570183\pi\) | |||||||
\(242\) | 10.2448 | + | 7.44331i | 0.658563 | + | 0.478474i | ||||
\(243\) | 13.7335 | − | 7.37498i | 0.881006 | − | 0.473105i | ||||
\(244\) | 9.41469 | + | 6.84017i | 0.602714 | + | 0.437897i | ||||
\(245\) | 5.77852 | + | 1.91790i | 0.369176 | + | 0.122530i | ||||
\(246\) | 15.6917 | − | 13.9549i | 1.00047 | − | 0.889734i | ||||
\(247\) | 11.7916 | + | 5.24996i | 0.750282 | + | 0.334047i | ||||
\(248\) | 27.7530 | − | 30.8228i | 1.76232 | − | 1.95725i | ||||
\(249\) | −2.89997 | + | 6.40699i | −0.183778 | + | 0.406026i | ||||
\(250\) | 11.0249 | + | 26.0786i | 0.697277 | + | 1.64936i | ||||
\(251\) | 0.313172 | 0.0197673 | 0.00988364 | − | 0.999951i | \(-0.496854\pi\) | ||||
0.00988364 | + | 0.999951i | \(0.496854\pi\) | |||||||
\(252\) | 13.3974 | + | 23.8792i | 0.843954 | + | 1.50425i | ||||
\(253\) | −4.69096 | + | 3.40818i | −0.294918 | + | 0.214270i | ||||
\(254\) | −2.64004 | − | 25.1183i | −0.165651 | − | 1.57606i | ||||
\(255\) | −11.9330 | + | 12.9254i | −0.747276 | + | 0.809420i | ||||
\(256\) | 3.18545 | − | 30.3075i | 0.199090 | − | 1.89422i | ||||
\(257\) | 1.48530 | + | 2.57262i | 0.0926507 | + | 0.160476i | 0.908626 | − | 0.417611i | \(-0.137133\pi\) |
−0.815975 | + | 0.578087i | \(0.803799\pi\) | |||||||
\(258\) | 0.223639 | − | 36.3206i | 0.0139232 | − | 2.26122i | ||||
\(259\) | 6.89579 | + | 7.65855i | 0.428484 | + | 0.475879i | ||||
\(260\) | 15.3099 | − | 8.71099i | 0.949482 | − | 0.540233i | ||||
\(261\) | 24.5388 | + | 0.302200i | 1.51891 | + | 0.0187057i | ||||
\(262\) | −10.7665 | + | 33.1359i | −0.665158 | + | 2.04714i | ||||
\(263\) | −5.43812 | − | 6.03964i | −0.335329 | − | 0.372420i | 0.551773 | − | 0.833994i | \(-0.313952\pi\) |
−0.887102 | + | 0.461574i | \(0.847285\pi\) | |||||||
\(264\) | −25.7668 | − | 2.86872i | −1.58584 | − | 0.176557i | ||||
\(265\) | −1.49315 | + | 6.81327i | −0.0917235 | + | 0.418536i | ||||
\(266\) | 37.0440 | − | 7.87395i | 2.27132 | − | 0.482783i | ||||
\(267\) | −0.512661 | − | 0.300209i | −0.0313743 | − | 0.0183725i | ||||
\(268\) | 3.59745 | − | 6.23097i | 0.219749 | − | 0.380617i | ||||
\(269\) | 18.6230 | + | 13.5304i | 1.13547 | + | 0.824965i | 0.986481 | − | 0.163874i | \(-0.0523992\pi\) |
0.148986 | + | 0.988839i | \(0.452399\pi\) | |||||||
\(270\) | −26.5755 | − | 12.6300i | −1.61733 | − | 0.768640i | ||||
\(271\) | −18.3049 | + | 13.2993i | −1.11194 | + | 0.807874i | −0.982969 | − | 0.183774i | \(-0.941169\pi\) |
−0.128974 | + | 0.991648i | \(0.541169\pi\) | |||||||
\(272\) | 3.15706 | + | 30.0374i | 0.191425 | + | 1.82129i | ||||
\(273\) | −2.56470 | − | 5.85720i | −0.155222 | − | 0.354494i | ||||
\(274\) | 10.7997 | + | 18.7056i | 0.652432 | + | 1.13005i | ||||
\(275\) | −3.93104 | + | 11.5989i | −0.237051 | + | 0.699441i | ||||
\(276\) | −7.46146 | + | 16.4848i | −0.449127 | + | 0.992268i | ||||
\(277\) | 10.1292 | + | 2.15304i | 0.608607 | + | 0.129363i | 0.501898 | − | 0.864927i | \(-0.332635\pi\) |
0.106709 | + | 0.994290i | \(0.465969\pi\) | |||||||
\(278\) | 19.1148 | − | 13.8877i | 1.14643 | − | 0.832931i | ||||
\(279\) | 19.8626 | + | 4.47826i | 1.18914 | + | 0.268107i | ||||
\(280\) | 11.6571 | − | 25.7443i | 0.696643 | − | 1.53851i | ||||
\(281\) | −23.2406 | + | 10.3474i | −1.38642 | + | 0.617273i | −0.958121 | − | 0.286365i | \(-0.907553\pi\) |
−0.428297 | + | 0.903638i | \(0.640886\pi\) | |||||||
\(282\) | 25.8956 | + | 36.1076i | 1.54206 | + | 2.15018i | ||||
\(283\) | 1.73208 | − | 16.4797i | 0.102962 | − | 0.979614i | −0.814061 | − | 0.580779i | \(-0.802748\pi\) |
0.917023 | − | 0.398835i | \(-0.130585\pi\) | |||||||
\(284\) | 43.9755 | − | 9.34728i | 2.60946 | − | 0.554659i | ||||
\(285\) | −18.9974 | + | 20.5772i | −1.12531 | + | 1.21889i | ||||
\(286\) | 10.8303 | + | 2.30204i | 0.640407 | + | 0.136123i | ||||
\(287\) | −3.05963 | + | 9.41657i | −0.180604 | + | 0.555842i | ||||
\(288\) | −12.7224 | + | 5.47768i | −0.749677 | + | 0.322776i | ||||
\(289\) | 1.12201 | + | 3.45318i | 0.0660004 | + | 0.203128i | ||||
\(290\) | −26.9905 | − | 37.6460i | −1.58494 | − | 2.21065i | ||||
\(291\) | −14.1010 | − | 12.8547i | −0.826615 | − | 0.753555i | ||||
\(292\) | 0.907660 | − | 8.63581i | 0.0531168 | − | 0.505373i | ||||
\(293\) | −6.06420 | − | 10.5035i | −0.354274 | − | 0.613621i | 0.632719 | − | 0.774381i | \(-0.281939\pi\) |
−0.986993 | + | 0.160760i | \(0.948605\pi\) | |||||||
\(294\) | 10.3061 | + | 6.03516i | 0.601066 | + | 0.351978i | ||||
\(295\) | −13.8491 | + | 18.8112i | −0.806328 | + | 1.09523i | ||||
\(296\) | −24.6360 | + | 17.8991i | −1.43194 | + | 1.04037i | ||||
\(297\) | −4.96106 | − | 11.7207i | −0.287870 | − | 0.680104i | ||||
\(298\) | 5.43564 | + | 16.7292i | 0.314878 | + | 0.969095i | ||||
\(299\) | 2.11279 | − | 3.65946i | 0.122186 | − | 0.211632i | ||||
\(300\) | 7.24335 | + | 37.5262i | 0.418195 | + | 2.16658i | ||||
\(301\) | 8.56274 | + | 14.8311i | 0.493548 | + | 0.854851i | ||||
\(302\) | −1.33598 | + | 1.48375i | −0.0768768 | + | 0.0853803i | ||||
\(303\) | 4.46788 | + | 21.6751i | 0.256673 | + | 1.24520i | ||||
\(304\) | 5.02604 | + | 47.8195i | 0.288263 | + | 2.74264i | ||||
\(305\) | 5.12490 | − | 2.91595i | 0.293451 | − | 0.166967i | ||||
\(306\) | −28.1649 | + | 19.9378i | −1.61008 | + | 1.13977i | ||||
\(307\) | −11.7705 | −0.671776 | −0.335888 | − | 0.941902i | \(-0.609036\pi\) | ||||
−0.335888 | + | 0.941902i | \(0.609036\pi\) | |||||||
\(308\) | 20.4227 | − | 9.09277i | 1.16369 | − | 0.518109i | ||||
\(309\) | 15.1536 | − | 4.82076i | 0.862059 | − | 0.274243i | ||||
\(310\) | −15.4104 | − | 35.2080i | −0.875253 | − | 1.99968i | ||||
\(311\) | 6.61932 | − | 7.35150i | 0.375347 | − | 0.416865i | −0.525643 | − | 0.850705i | \(-0.676175\pi\) |
0.900990 | + | 0.433840i | \(0.142842\pi\) | |||||||
\(312\) | 18.0047 | − | 5.72775i | 1.01931 | − | 0.324270i | ||||
\(313\) | −23.0294 | − | 25.5767i | −1.30170 | − | 1.44568i | −0.823376 | − | 0.567497i | \(-0.807912\pi\) |
−0.478322 | − | 0.878185i | \(-0.658755\pi\) | |||||||
\(314\) | 3.04248 | + | 9.36378i | 0.171697 | + | 0.528429i | ||||
\(315\) | 13.8220 | − | 1.19305i | 0.778783 | − | 0.0672210i | ||||
\(316\) | 20.3452 | − | 62.6162i | 1.14451 | − | 3.52243i | ||||
\(317\) | 20.3148 | − | 9.04473i | 1.14099 | − | 0.508003i | 0.252821 | − | 0.967513i | \(-0.418642\pi\) |
0.888172 | + | 0.459510i | \(0.151975\pi\) | |||||||
\(318\) | −5.64187 | + | 12.4647i | −0.316380 | + | 0.698987i | ||||
\(319\) | 2.09439 | − | 19.9268i | 0.117263 | − | 1.11569i | ||||
\(320\) | −3.09935 | − | 1.81555i | −0.173259 | − | 0.101492i | ||||
\(321\) | −1.26927 | + | 1.12878i | −0.0708439 | + | 0.0630026i | ||||
\(322\) | −1.29596 | − | 12.3303i | −0.0722212 | − | 0.687139i | ||||
\(323\) | 10.1495 | + | 31.2368i | 0.564731 | + | 1.73806i | ||||
\(324\) | −31.5481 | − | 24.1300i | −1.75267 | − | 1.34056i | ||||
\(325\) | −0.820957 | − | 8.88722i | −0.0455385 | − | 0.492974i | ||||
\(326\) | −10.6278 | + | 18.4078i | −0.588618 | + | 1.01952i | ||||
\(327\) | −6.16871 | − | 14.0880i | −0.341130 | − | 0.779066i | ||||
\(328\) | −26.7274 | − | 11.8998i | −1.47577 | − | 0.657057i | ||||
\(329\) | −19.1391 | − | 8.52130i | −1.05518 | − | 0.469794i | ||||
\(330\) | −12.2701 | + | 20.6538i | −0.675448 | + | 1.13695i | ||||
\(331\) | −11.9559 | + | 5.32309i | −0.657154 | + | 0.292584i | −0.708094 | − | 0.706118i | \(-0.750445\pi\) |
0.0509405 | + | 0.998702i | \(0.483778\pi\) | |||||||
\(332\) | 17.9189 | 0.983426 | ||||||||
\(333\) | −13.5808 | − | 6.24809i | −0.744225 | − | 0.342393i | ||||
\(334\) | 8.45777 | − | 26.0303i | 0.462788 | − | 1.42432i | ||||
\(335\) | −2.12416 | − | 2.96275i | −0.116056 | − | 0.161873i | ||||
\(336\) | 14.1190 | − | 19.1836i | 0.770253 | − | 1.04655i | ||||
\(337\) | −14.2119 | + | 3.02084i | −0.774174 | + | 0.164556i | −0.578026 | − | 0.816019i | \(-0.696177\pi\) |
−0.196148 | + | 0.980574i | \(0.562843\pi\) | |||||||
\(338\) | 24.3094 | − | 5.16712i | 1.32226 | − | 0.281054i | ||||
\(339\) | 6.96385 | − | 9.46185i | 0.378225 | − | 0.513897i | ||||
\(340\) | 42.5401 | + | 14.1192i | 2.30706 | + | 0.765720i | ||||
\(341\) | 5.13715 | − | 15.8105i | 0.278192 | − | 0.856188i | ||||
\(342\) | −44.8385 | + | 31.7409i | −2.42459 | + | 1.71635i | ||||
\(343\) | −20.1081 | −1.08573 | ||||||||
\(344\) | −46.2289 | + | 20.5824i | −2.49249 | + | 1.10973i | ||||
\(345\) | 6.04945 | + | 6.88933i | 0.325692 | + | 0.370909i | ||||
\(346\) | −38.0822 | − | 16.9553i | −2.04731 | − | 0.911522i | ||||
\(347\) | 10.1994 | + | 4.54109i | 0.547535 | + | 0.243778i | 0.661811 | − | 0.749671i | \(-0.269788\pi\) |
−0.114276 | + | 0.993449i | \(0.536455\pi\) | |||||||
\(348\) | −25.0802 | − | 57.2775i | −1.34444 | − | 3.07040i | ||||
\(349\) | 4.08628 | − | 7.07765i | 0.218734 | − | 0.378858i | −0.735687 | − | 0.677321i | \(-0.763141\pi\) |
0.954421 | + | 0.298463i | \(0.0964740\pi\) | |||||||
\(350\) | −17.2757 | − | 19.6799i | −0.923424 | − | 1.05194i | ||||
\(351\) | 6.77700 | + | 6.33257i | 0.361730 | + | 0.338008i | ||||
\(352\) | 3.49476 | + | 10.7558i | 0.186272 | + | 0.573285i | ||||
\(353\) | 2.35701 | + | 22.4255i | 0.125451 | + | 1.19359i | 0.858283 | + | 0.513177i | \(0.171532\pi\) |
−0.732832 | + | 0.680410i | \(0.761802\pi\) | |||||||
\(354\) | −34.2404 | + | 30.4505i | −1.81986 | + | 1.61843i | ||||
\(355\) | 4.87647 | − | 22.2514i | 0.258816 | − | 1.18098i | ||||
\(356\) | −0.158225 | + | 1.50541i | −0.00838592 | + | 0.0797867i | ||||
\(357\) | 6.70914 | − | 14.8227i | 0.355085 | − | 0.784499i | ||||
\(358\) | 1.20878 | − | 0.538184i | 0.0638861 | − | 0.0284439i | ||||
\(359\) | −7.75846 | + | 23.8781i | −0.409476 | + | 1.26024i | 0.507624 | + | 0.861579i | \(0.330524\pi\) |
−0.917100 | + | 0.398658i | \(0.869476\pi\) | |||||||
\(360\) | −0.763175 | + | 40.9872i | −0.0402229 | + | 2.16022i | ||||
\(361\) | 10.2866 | + | 31.6589i | 0.541400 | + | 1.66626i | ||||
\(362\) | 39.1085 | + | 43.4344i | 2.05550 | + | 2.28286i | ||||
\(363\) | 8.25351 | − | 2.62565i | 0.433197 | − | 0.137811i | ||||
\(364\) | −10.9013 | + | 12.1071i | −0.571381 | + | 0.634583i | ||||
\(365\) | −3.79634 | − | 2.22384i | −0.198709 | − | 0.116401i | ||||
\(366\) | 11.0221 | − | 3.50640i | 0.576132 | − | 0.183283i | ||||
\(367\) | −5.89638 | + | 2.62524i | −0.307788 | + | 0.137036i | −0.554818 | − | 0.831972i | \(-0.687212\pi\) |
0.247030 | + | 0.969008i | \(0.420545\pi\) | |||||||
\(368\) | 15.7411 | 0.820562 | ||||||||
\(369\) | −1.32528 | − | 14.3012i | −0.0689914 | − | 0.744493i | ||||
\(370\) | 5.69263 | + | 27.6372i | 0.295946 | + | 1.43679i | ||||
\(371\) | −0.674324 | − | 6.41576i | −0.0350092 | − | 0.333090i | ||||
\(372\) | −10.4736 | − | 50.8106i | −0.543029 | − | 2.63441i | ||||
\(373\) | −16.1275 | + | 17.9114i | −0.835050 | + | 0.927417i | −0.998248 | − | 0.0591766i | \(-0.981152\pi\) |
0.163198 | + | 0.986593i | \(0.447819\pi\) | |||||||
\(374\) | 14.0871 | + | 24.3996i | 0.728428 | + | 1.26167i | ||||
\(375\) | 18.8349 | + | 4.49968i | 0.972629 | + | 0.232363i | ||||
\(376\) | 30.9530 | − | 53.6121i | 1.59628 | − | 2.76484i | ||||
\(377\) | 4.51220 | + | 13.8871i | 0.232390 | + | 0.715224i | ||||
\(378\) | 27.0079 | + | 3.34408i | 1.38914 | + | 0.172001i | ||||
\(379\) | −0.345496 | + | 0.251018i | −0.0177469 | + | 0.0128939i | −0.596623 | − | 0.802521i | \(-0.703491\pi\) |
0.578876 | + | 0.815415i | \(0.303491\pi\) | |||||||
\(380\) | 67.7238 | + | 22.4777i | 3.47416 | + | 1.15308i | ||||
\(381\) | −14.9065 | − | 8.72911i | −0.763685 | − | 0.447206i | ||||
\(382\) | 1.27120 | + | 2.20179i | 0.0650404 | + | 0.112653i | ||||
\(383\) | −2.38455 | + | 22.6874i | −0.121845 | + | 1.15927i | 0.747220 | + | 0.664576i | \(0.231388\pi\) |
−0.869065 | + | 0.494698i | \(0.835279\pi\) | |||||||
\(384\) | −17.0271 | − | 15.5222i | −0.868911 | − | 0.792112i | ||||
\(385\) | 0.0713958 | − | 11.3269i | 0.00363867 | − | 0.577273i | ||||
\(386\) | −10.8402 | − | 33.3628i | −0.551753 | − | 1.69812i | ||||
\(387\) | −19.9163 | − | 14.8482i | −1.01240 | − | 0.754774i | ||||
\(388\) | −15.0234 | + | 46.2373i | −0.762698 | + | 2.34734i | ||||
\(389\) | −12.1318 | − | 2.57870i | −0.615108 | − | 0.130745i | −0.110187 | − | 0.993911i | \(-0.535145\pi\) |
−0.504921 | + | 0.863166i | \(0.668478\pi\) | |||||||
\(390\) | 2.04683 | − | 17.3874i | 0.103645 | − | 0.880443i | ||||
\(391\) | 10.5174 | − | 2.23555i | 0.531889 | − | 0.113056i | ||||
\(392\) | 1.73931 | − | 16.5484i | 0.0878482 | − | 0.835820i | ||||
\(393\) | 13.8878 | + | 19.3645i | 0.700545 | + | 0.976809i | ||||
\(394\) | −18.3245 | + | 8.15860i | −0.923175 | + | 0.411024i | ||||
\(395\) | −24.6496 | − | 22.4776i | −1.24026 | − | 1.13097i | ||||
\(396\) | −21.9940 | + | 23.8300i | −1.10524 | + | 1.19750i | ||||
\(397\) | −2.26012 | + | 1.64207i | −0.113432 | + | 0.0824133i | −0.643055 | − | 0.765820i | \(-0.722333\pi\) |
0.529623 | + | 0.848233i | \(0.322333\pi\) | |||||||
\(398\) | −36.2052 | − | 7.69565i | −1.81480 | − | 0.385748i | ||||
\(399\) | 10.6809 | − | 23.5977i | 0.534716 | − | 1.18136i | ||||
\(400\) | 27.1420 | − | 19.2018i | 1.35710 | − | 0.960089i | ||||
\(401\) | −18.1027 | − | 31.3549i | −0.904008 | − | 1.56579i | −0.822244 | − | 0.569136i | \(-0.807278\pi\) |
−0.0817642 | − | 0.996652i | \(-0.526055\pi\) | |||||||
\(402\) | −2.86834 | − | 6.55065i | −0.143060 | − | 0.326717i | ||||
\(403\) | 1.26636 | + | 12.0486i | 0.0630820 | + | 0.600185i | ||||
\(404\) | 45.6186 | − | 33.1438i | 2.26961 | − | 1.64897i | ||||
\(405\) | −17.7313 | + | 9.51848i | −0.881075 | + | 0.472977i | ||||
\(406\) | 34.6605 | + | 25.1824i | 1.72017 | + | 1.24978i | ||||
\(407\) | −6.10273 | + | 10.5702i | −0.302501 | + | 0.523947i | ||||
\(408\) | 41.4871 | + | 24.2944i | 2.05392 | + | 1.20275i | ||||
\(409\) | 21.7118 | − | 4.61499i | 1.07358 | − | 0.228196i | 0.362983 | − | 0.931796i | \(-0.381758\pi\) |
0.710597 | + | 0.703599i | \(0.248425\pi\) | |||||||
\(410\) | −20.2606 | + | 18.0128i | −1.00060 | + | 0.889588i | ||||
\(411\) | 14.6822 | + | 1.63462i | 0.724219 | + | 0.0806299i | ||||
\(412\) | −27.1112 | − | 30.1100i | −1.33567 | − | 1.48341i | ||||
\(413\) | 6.67630 | − | 20.5475i | 0.328519 | − | 1.01108i | ||||
\(414\) | 8.79985 | + | 15.6847i | 0.432489 | + | 0.770862i | ||||
\(415\) | 3.74506 | − | 8.27084i | 0.183838 | − | 0.405999i | ||||
\(416\) | −5.51480 | − | 6.12480i | −0.270385 | − | 0.300293i | ||||
\(417\) | 0.0995004 | − | 16.1596i | 0.00487256 | − | 0.791338i | ||||
\(418\) | 22.4267 | + | 38.8441i | 1.09692 | + | 1.89993i | ||||
\(419\) | 3.34167 | − | 31.7939i | 0.163251 | − | 1.55323i | −0.539617 | − | 0.841911i | \(-0.681431\pi\) |
0.702868 | − | 0.711320i | \(-0.251903\pi\) | |||||||
\(420\) | −17.2914 | − | 30.8305i | −0.843734 | − | 1.50437i | ||||
\(421\) | 0.145994 | + | 1.38904i | 0.00711533 | + | 0.0676978i | 0.997503 | − | 0.0706190i | \(-0.0224974\pi\) |
−0.990388 | + | 0.138317i | \(0.955831\pi\) | |||||||
\(422\) | −27.2891 | + | 19.8267i | −1.32841 | + | 0.965150i | ||||
\(423\) | 30.3881 | + | 0.374235i | 1.47752 | + | 0.0181960i | ||||
\(424\) | 19.0622 | 0.925745 | ||||||||
\(425\) | 15.4079 | − | 16.6844i | 0.747394 | − | 0.809311i | ||||
\(426\) | 18.4257 | − | 40.7084i | 0.892730 | − | 1.97233i | ||||
\(427\) | −3.64913 | + | 4.05277i | −0.176594 | + | 0.196127i | ||||
\(428\) | 3.95372 | + | 1.76031i | 0.191110 | + | 0.0850877i | ||||
\(429\) | 5.65883 | − | 5.03249i | 0.273211 | − | 0.242971i | ||||
\(430\) | −0.295555 | + | 46.8897i | −0.0142529 | + | 2.26122i | ||||
\(431\) | −0.506575 | − | 0.368048i | −0.0244009 | − | 0.0177283i | 0.575518 | − | 0.817789i | \(-0.304800\pi\) |
−0.599919 | + | 0.800061i | \(0.704800\pi\) | |||||||
\(432\) | −7.80676 | + | 33.6584i | −0.375603 | + | 1.61939i | ||||
\(433\) | −4.64257 | − | 3.37302i | −0.223108 | − | 0.162097i | 0.470617 | − | 0.882338i | \(-0.344031\pi\) |
−0.693724 | + | 0.720241i | \(0.744031\pi\) | |||||||
\(434\) | 23.7851 | + | 26.4160i | 1.14172 | + | 1.26801i | ||||
\(435\) | −31.6794 | − | 0.394759i | −1.51891 | − | 0.0189272i | ||||
\(436\) | −26.2201 | + | 29.1204i | −1.25572 | + | 1.39461i | ||||
\(437\) | 16.7437 | − | 3.55899i | 0.800960 | − | 0.170249i | ||||
\(438\) | −6.37805 | − | 5.81433i | −0.304755 | − | 0.277819i | ||||
\(439\) | 22.6653 | + | 4.81766i | 1.08176 | + | 0.229934i | 0.714111 | − | 0.700032i | \(-0.246831\pi\) |
0.367644 | + | 0.929966i | \(0.380164\pi\) | |||||||
\(440\) | 33.2643 | + | 3.70835i | 1.58581 | + | 0.176789i | ||||
\(441\) | 7.50269 | − | 3.23031i | 0.357271 | − | 0.153824i | ||||
\(442\) | −16.6109 | − | 12.0685i | −0.790100 | − | 0.574041i | ||||
\(443\) | 10.9667 | − | 18.9950i | 0.521046 | − | 0.902477i | −0.478655 | − | 0.878003i | \(-0.658875\pi\) |
0.999700 | − | 0.0244742i | \(-0.00779117\pi\) | |||||||
\(444\) | −0.234526 | + | 38.0887i | −0.0111301 | + | 1.80761i | ||||
\(445\) | 0.661786 | + | 0.387664i | 0.0313717 | + | 0.0183771i | ||||
\(446\) | 8.44104 | + | 3.75819i | 0.399695 | + | 0.177956i | ||||
\(447\) | 11.4188 | + | 3.78809i | 0.540092 | + | 0.179171i | ||||
\(448\) | 3.24959 | + | 0.690721i | 0.153529 | + | 0.0326335i | ||||
\(449\) | −12.6712 | −0.597990 | −0.298995 | − | 0.954255i | \(-0.596651\pi\) | ||||
−0.298995 | + | 0.954255i | \(0.596651\pi\) | |||||||
\(450\) | 34.3064 | + | 16.3103i | 1.61722 | + | 0.768876i | ||||
\(451\) | −11.7265 | −0.552178 | ||||||||
\(452\) | −29.2796 | − | 6.22357i | −1.37720 | − | 0.292732i | ||||
\(453\) | 0.275688 | + | 1.33745i | 0.0129529 | + | 0.0628388i | ||||
\(454\) | 36.3555 | + | 16.1865i | 1.70625 | + | 0.759671i | ||||
\(455\) | 3.30991 | + | 7.56209i | 0.155171 | + | 0.354516i | ||||
\(456\) | 66.0473 | + | 38.6766i | 3.09295 | + | 1.81120i | ||||
\(457\) | 0.0638731 | − | 0.110631i | 0.00298786 | − | 0.00517512i | −0.864528 | − | 0.502585i | \(-0.832382\pi\) |
0.867515 | + | 0.497410i | \(0.165716\pi\) | |||||||
\(458\) | −12.3084 | − | 8.94261i | −0.575136 | − | 0.417861i | ||||
\(459\) | −0.435940 | + | 23.5975i | −0.0203479 | + | 1.10144i | ||||
\(460\) | 9.63581 | − | 21.2804i | 0.449272 | − | 0.992203i | ||||
\(461\) | 7.08732 | + | 1.50646i | 0.330090 | + | 0.0701627i | 0.369975 | − | 0.929042i | \(-0.379366\pi\) |
−0.0398858 | + | 0.999204i | \(0.512699\pi\) | |||||||
\(462\) | 4.75339 | − | 21.7049i | 0.221148 | − | 1.00981i | ||||
\(463\) | −22.2769 | + | 4.73511i | −1.03530 | + | 0.220059i | −0.694059 | − | 0.719918i | \(-0.744179\pi\) |
−0.341238 | + | 0.939977i | \(0.610846\pi\) | |||||||
\(464\) | −36.3970 | + | 40.4230i | −1.68969 | + | 1.87659i | ||||
\(465\) | −25.6417 | − | 5.78515i | −1.18910 | − | 0.268280i | ||||
\(466\) | 1.01443 | + | 1.12664i | 0.0469925 | + | 0.0521905i | ||||
\(467\) | −7.87672 | − | 5.72277i | −0.364491 | − | 0.264818i | 0.390432 | − | 0.920632i | \(-0.372326\pi\) |
−0.754923 | + | 0.655814i | \(0.772326\pi\) | |||||||
\(468\) | 7.57907 | − | 22.3842i | 0.350343 | − | 1.03471i | ||||
\(469\) | 2.72780 | + | 1.98186i | 0.125958 | + | 0.0915138i | ||||
\(470\) | −33.4242 | − | 46.6196i | −1.54174 | − | 2.15040i | ||||
\(471\) | 6.39144 | + | 2.12030i | 0.294502 | + | 0.0976983i | ||||
\(472\) | 58.3208 | + | 25.9661i | 2.68443 | + | 1.19519i | ||||
\(473\) | −13.5717 | + | 15.0729i | −0.624028 | + | 0.693053i | ||||
\(474\) | −38.1367 | − | 53.1761i | −1.75168 | − | 2.44246i | ||||
\(475\) | 24.5294 | − | 26.5615i | 1.12548 | − | 1.21872i | ||||
\(476\) | −41.4556 | −1.90012 | ||||||||
\(477\) | 4.57879 | + | 8.16118i | 0.209649 | + | 0.373675i | ||||
\(478\) | −2.40741 | + | 1.74909i | −0.110112 | + | 0.0800013i | ||||
\(479\) | 1.17638 | + | 11.1925i | 0.0537503 | + | 0.511400i | 0.987964 | + | 0.154686i | \(0.0494365\pi\) |
−0.934213 | + | 0.356715i | \(0.883897\pi\) | |||||||
\(480\) | 16.4256 | − | 7.06926i | 0.749724 | − | 0.322666i | ||||
\(481\) | 0.929762 | − | 8.84609i | 0.0423935 | − | 0.403347i | ||||
\(482\) | −22.7553 | − | 39.4133i | −1.03648 | − | 1.79523i | ||||
\(483\) | −7.31744 | − | 4.28502i | −0.332955 | − | 0.194975i | ||||
\(484\) | −14.7662 | − | 16.3996i | −0.671193 | − | 0.745436i | ||||
\(485\) | 18.2019 | + | 16.5980i | 0.826506 | + | 0.753676i | ||||
\(486\) | −37.9021 | + | 11.0374i | −1.71927 | + | 0.500669i | ||||
\(487\) | −2.45081 | + | 7.54283i | −0.111057 | + | 0.341798i | −0.991104 | − | 0.133088i | \(-0.957511\pi\) |
0.880047 | + | 0.474886i | \(0.157511\pi\) | |||||||
\(488\) | −10.7827 | − | 11.9754i | −0.488112 | − | 0.542103i | ||||
\(489\) | 5.83115 | + | 13.3171i | 0.263694 | + | 0.602218i | ||||
\(490\) | −13.3040 | − | 7.79330i | −0.601014 | − | 0.352065i | ||||
\(491\) | −14.3906 | + | 3.05881i | −0.649438 | + | 0.138042i | −0.520840 | − | 0.853654i | \(-0.674381\pi\) |
−0.128598 | + | 0.991697i | \(0.541048\pi\) | |||||||
\(492\) | −31.8039 | + | 18.1018i | −1.43383 | + | 0.816093i | ||||
\(493\) | −18.5778 | + | 32.1777i | −0.836702 | + | 1.44921i | ||||
\(494\) | −26.4445 | − | 19.2131i | −1.18980 | − | 0.864437i | ||||
\(495\) | 6.40249 | + | 15.1323i | 0.287771 | + | 0.680146i | ||||
\(496\) | −36.5114 | + | 26.5271i | −1.63941 | + | 1.19110i | ||||
\(497\) | 2.20227 | + | 20.9532i | 0.0987853 | + | 0.939879i | ||||
\(498\) | 10.5569 | − | 14.3437i | 0.473064 | − | 0.642757i | ||||
\(499\) | −11.7212 | − | 20.3017i | −0.524714 | − | 0.908831i | −0.999586 | − | 0.0287762i | \(-0.990839\pi\) |
0.474872 | − | 0.880055i | \(-0.342494\pi\) | |||||||
\(500\) | −9.34406 | − | 48.4475i | −0.417879 | − | 2.16664i | ||||
\(501\) | −10.9097 | − | 15.2120i | −0.487410 | − | 0.679623i | ||||
\(502\) | −0.775753 | − | 0.164891i | −0.0346235 | − | 0.00735946i | ||||
\(503\) | −11.6643 | + | 8.47463i | −0.520087 | + | 0.377865i | −0.816637 | − | 0.577152i | \(-0.804164\pi\) |
0.296550 | + | 0.955017i | \(0.404164\pi\) | |||||||
\(504\) | −11.2716 | − | 36.2012i | −0.502076 | − | 1.61253i | ||||
\(505\) | −5.76393 | − | 27.9833i | −0.256491 | − | 1.24524i | ||||
\(506\) | 13.4143 | − | 5.97245i | 0.596340 | − | 0.265508i | ||||
\(507\) | 7.00914 | − | 15.4855i | 0.311287 | − | 0.687734i | ||||
\(508\) | −4.60069 | + | 43.7726i | −0.204122 | + | 1.94209i | ||||
\(509\) | −0.377856 | + | 0.0803159i | −0.0167482 | + | 0.00355994i | −0.216278 | − | 0.976332i | \(-0.569392\pi\) |
0.199530 | + | 0.979892i | \(0.436058\pi\) | |||||||
\(510\) | 36.3645 | − | 25.7343i | 1.61025 | − | 1.13953i | ||||
\(511\) | 3.98037 | + | 0.846053i | 0.176081 | + | 0.0374272i | ||||
\(512\) | −15.6267 | + | 48.0942i | −0.690611 | + | 2.12548i | ||||
\(513\) | −0.694016 | + | 37.5672i | −0.0306416 | + | 1.65863i | ||||
\(514\) | −2.32468 | − | 7.15462i | −0.102537 | − | 0.315577i | ||||
\(515\) | −19.5641 | + | 6.22072i | −0.862099 | + | 0.274118i | ||||
\(516\) | −13.5409 | + | 61.8303i | −0.596103 | + | 2.72193i | ||||
\(517\) | 2.59363 | − | 24.6767i | 0.114068 | − | 1.08528i | ||||
\(518\) | −13.0490 | − | 22.6016i | −0.573342 | − | 0.993057i | ||||
\(519\) | −24.7788 | + | 14.1034i | −1.08767 | + | 0.619068i | ||||
\(520\) | −23.2450 | + | 7.39111i | −1.01936 | + | 0.324121i | ||||
\(521\) | 35.3256 | − | 25.6656i | 1.54764 | − | 1.12443i | 0.602340 | − | 0.798240i | \(-0.294235\pi\) |
0.945304 | − | 0.326190i | \(-0.105765\pi\) | |||||||
\(522\) | −60.6254 | − | 13.6687i | −2.65350 | − | 0.598264i | ||||
\(523\) | −6.03504 | − | 18.5739i | −0.263894 | − | 0.812182i | −0.991946 | − | 0.126660i | \(-0.959574\pi\) |
0.728052 | − | 0.685522i | \(-0.240426\pi\) | |||||||
\(524\) | 30.3581 | − | 52.5818i | 1.32620 | − | 2.29705i | ||||
\(525\) | −17.8444 | + | 1.53762i | −0.778793 | + | 0.0671074i | ||||
\(526\) | 10.2907 | + | 17.8239i | 0.448694 | + | 0.777161i | ||||
\(527\) | −20.6277 | + | 22.9094i | −0.898559 | + | 0.997950i | ||||
\(528\) | 26.7754 | + | 8.88251i | 1.16525 | + | 0.386561i | ||||
\(529\) | 1.81839 | + | 17.3008i | 0.0790603 | + | 0.752208i | ||||
\(530\) | 7.28596 | − | 16.0908i | 0.316482 | − | 0.698940i | ||||
\(531\) | 2.89185 | + | 31.2062i | 0.125496 | + | 1.35423i | ||||
\(532\) | −65.9973 | −2.86135 | ||||||||
\(533\) | 7.80693 | − | 3.47587i | 0.338156 | − | 0.150557i | ||||
\(534\) | 1.11184 | + | 1.01357i | 0.0481138 | + | 0.0438613i | ||||
\(535\) | 1.63884 | − | 1.45702i | 0.0708531 | − | 0.0629923i | ||||
\(536\) | −6.66662 | + | 7.40403i | −0.287954 | + | 0.319805i | ||||
\(537\) | 0.193605 | − | 0.884037i | 0.00835465 | − | 0.0381490i | ||||
\(538\) | −39.0067 | − | 43.3213i | −1.68170 | − | 1.86771i | ||||
\(539\) | −2.06094 | − | 6.34291i | −0.0887708 | − | 0.273208i | ||||
\(540\) | 40.7238 | + | 31.1577i | 1.75247 | + | 1.34081i | ||||
\(541\) | −5.67479 | + | 17.4652i | −0.243978 | + | 0.750888i | 0.751824 | + | 0.659363i | \(0.229174\pi\) |
−0.995803 | + | 0.0915249i | \(0.970826\pi\) | |||||||
\(542\) | 52.3450 | − | 23.3055i | 2.24841 | − | 1.00106i | ||||
\(543\) | 39.7807 | − | 3.93363i | 1.70715 | − | 0.168808i | ||||
\(544\) | 2.19215 | − | 20.8569i | 0.0939878 | − | 0.894234i | ||||
\(545\) | 7.96111 | + | 18.1886i | 0.341017 | + | 0.779115i | ||||
\(546\) | 3.26903 | + | 15.8591i | 0.139901 | + | 0.678707i | ||||
\(547\) | −4.02229 | − | 38.2695i | −0.171981 | − | 1.63629i | −0.651425 | − | 0.758713i | \(-0.725828\pi\) |
0.479444 | − | 0.877572i | \(-0.340838\pi\) | |||||||
\(548\) | −11.6315 | − | 35.7980i | −0.496872 | − | 1.52922i | ||||
\(549\) | 2.53704 | − | 7.49297i | 0.108278 | − | 0.319792i | ||||
\(550\) | 15.8446 | − | 26.6616i | 0.675614 | − | 1.13686i | ||||
\(551\) | −29.5758 | + | 51.2268i | −1.25997 | + | 2.18234i | ||||
\(552\) | 14.8525 | − | 20.1802i | 0.632164 | − | 0.858927i | ||||
\(553\) | 28.1864 | + | 12.5494i | 1.19861 | + | 0.533655i | ||||
\(554\) | −23.9573 | − | 10.6665i | −1.01785 | − | 0.453175i | ||||
\(555\) | 17.5316 | + | 8.06881i | 0.744176 | + | 0.342502i | ||||
\(556\) | −37.6145 | + | 16.7471i | −1.59521 | + | 0.710233i | ||||
\(557\) | 34.0992 | 1.44483 | 0.722414 | − | 0.691461i | \(-0.243032\pi\) | ||||
0.722414 | + | 0.691461i | \(0.243032\pi\) | |||||||
\(558\) | −46.8433 | − | 21.5510i | −1.98304 | − | 0.912329i | ||||
\(559\) | 4.56761 | − | 14.0577i | 0.193189 | − | 0.594576i | ||||
\(560\) | −18.2311 | + | 24.7632i | −0.770405 | + | 1.04644i | ||||
\(561\) | 19.1515 | + | 2.13221i | 0.808577 | + | 0.0900218i | ||||
\(562\) | 63.0169 | − | 13.3946i | 2.65821 | − | 0.565019i | ||||
\(563\) | 24.2833 | − | 5.16157i | 1.02342 | − | 0.217534i | 0.334518 | − | 0.942390i | \(-0.391427\pi\) |
0.688901 | + | 0.724855i | \(0.258093\pi\) | |||||||
\(564\) | −31.0585 | − | 70.9307i | −1.30780 | − | 2.98672i | ||||
\(565\) | −8.99208 | + | 12.2139i | −0.378300 | + | 0.513842i | ||||
\(566\) | −12.9674 | + | 39.9094i | −0.545058 | + | 1.67752i | ||||
\(567\) | 12.7915 | − | 13.5213i | 0.537192 | − | 0.567843i | ||||
\(568\) | −62.2553 | −2.61217 | ||||||||
\(569\) | −25.8779 | + | 11.5216i | −1.08486 | + | 0.483011i | −0.869706 | − | 0.493570i | \(-0.835692\pi\) |
−0.215153 | + | 0.976580i | \(0.569025\pi\) | |||||||
\(570\) | 57.8923 | − | 40.9689i | 2.42484 | − | 1.71600i | ||||
\(571\) | 29.1809 | + | 12.9922i | 1.22118 | + | 0.543706i | 0.913132 | − | 0.407663i | \(-0.133656\pi\) |
0.308052 | + | 0.951370i | \(0.400323\pi\) | |||||||
\(572\) | −17.6269 | − | 7.84802i | −0.737020 | − | 0.328142i | ||||
\(573\) | 1.72821 | + | 0.192407i | 0.0721968 | + | 0.00803794i | ||||
\(574\) | 12.5369 | − | 21.7146i | 0.523282 | − | 0.906351i | ||||
\(575\) | −7.80852 | − | 8.89522i | −0.325638 | − | 0.370956i | ||||
\(576\) | −4.72579 | + | 0.943829i | −0.196908 | + | 0.0393262i | ||||
\(577\) | −4.21265 | − | 12.9652i | −0.175375 | − | 0.539748i | 0.824276 | − | 0.566189i | \(-0.191583\pi\) |
−0.999650 | + | 0.0264408i | \(0.991583\pi\) | |||||||
\(578\) | −0.961131 | − | 9.14455i | −0.0399778 | − | 0.380363i | ||||
\(579\) | −22.7725 | − | 7.55456i | −0.946391 | − | 0.313957i | ||||
\(580\) | 32.3676 | + | 73.9497i | 1.34399 | + | 3.07059i | ||||
\(581\) | −0.877759 | + | 8.35132i | −0.0364156 | + | 0.346471i | ||||
\(582\) | 28.1610 | + | 39.2665i | 1.16731 | + | 1.62765i | ||||
\(583\) | 6.97983 | − | 3.10762i | 0.289075 | − | 0.128705i | ||||
\(584\) | −3.71570 | + | 11.4358i | −0.153757 | + | 0.473215i | ||||
\(585\) | −8.74788 | − | 8.17659i | −0.361680 | − | 0.338061i | ||||
\(586\) | 9.49120 | + | 29.2109i | 0.392078 | + | 1.20669i | ||||
\(587\) | −26.5805 | − | 29.5207i | −1.09710 | − | 1.21845i | −0.974118 | − | 0.226039i | \(-0.927422\pi\) |
−0.122978 | − | 0.992409i | \(-0.539244\pi\) | |||||||
\(588\) | −15.3809 | − | 14.0215i | −0.634299 | − | 0.578237i | ||||
\(589\) | −32.8393 | + | 36.4718i | −1.35312 | + | 1.50279i | ||||
\(590\) | 44.2099 | − | 39.3050i | 1.82009 | − | 1.61816i | ||||
\(591\) | −2.93495 | + | 13.4015i | −0.120728 | + | 0.551266i | ||||
\(592\) | 30.2702 | − | 13.4772i | 1.24410 | − | 0.553908i | ||||
\(593\) | 16.9892 | 0.697663 | 0.348832 | − | 0.937185i | \(-0.386579\pi\) | ||||
0.348832 | + | 0.937185i | \(0.386579\pi\) | |||||||
\(594\) | 6.11776 | + | 31.6452i | 0.251015 | + | 1.29842i | ||||
\(595\) | −8.66425 | + | 19.1347i | −0.355200 | + | 0.784447i | ||||
\(596\) | −3.20416 | − | 30.4856i | −0.131248 | − | 1.24874i | ||||
\(597\) | −18.9173 | + | 16.8234i | −0.774232 | + | 0.688537i | ||||
\(598\) | −7.16033 | + | 7.95235i | −0.292808 | + | 0.325196i | ||||
\(599\) | −7.81800 | − | 13.5412i | −0.319435 | − | 0.553277i | 0.660935 | − | 0.750443i | \(-0.270160\pi\) |
−0.980370 | + | 0.197166i | \(0.936826\pi\) | |||||||
\(600\) | 0.992972 | − | 52.9141i | 0.0405379 | − | 2.16021i | ||||
\(601\) | −0.702116 | + | 1.21610i | −0.0286399 | + | 0.0496058i | −0.879990 | − | 0.474992i | \(-0.842451\pi\) |
0.851350 | + | 0.524598i | \(0.175784\pi\) | |||||||
\(602\) | −13.4017 | − | 41.2462i | −0.546213 | − | 1.68107i | ||||
\(603\) | −4.77124 | − | 1.07573i | −0.194300 | − | 0.0438073i | ||||
\(604\) | 2.81486 | − | 2.04512i | 0.114535 | − | 0.0832147i | ||||
\(605\) | −10.6557 | + | 3.38815i | −0.433217 | + | 0.137748i | ||||
\(606\) | 0.345080 | − | 56.0434i | 0.0140179 | − | 2.27661i | ||||
\(607\) | −3.79337 | − | 6.57031i | −0.153968 | − | 0.266681i | 0.778715 | − | 0.627378i | \(-0.215872\pi\) |
−0.932683 | + | 0.360698i | \(0.882539\pi\) | |||||||
\(608\) | 3.48990 | − | 33.2042i | 0.141534 | − | 1.34661i | ||||
\(609\) | 27.9235 | − | 8.88317i | 1.13152 | − | 0.359964i | ||||
\(610\) | −14.2301 | + | 4.52467i | −0.576159 | + | 0.183199i | ||||
\(611\) | 5.58777 | + | 17.1974i | 0.226057 | + | 0.695732i | ||||
\(612\) | 55.2331 | − | 23.7808i | 2.23267 | − | 0.961281i | ||||
\(613\) | 9.44377 | − | 29.0649i | 0.381430 | − | 1.17392i | −0.557607 | − | 0.830105i | \(-0.688280\pi\) |
0.939037 | − | 0.343816i | \(-0.111720\pi\) | |||||||
\(614\) | 29.1564 | + | 6.19737i | 1.17665 | + | 0.250106i | ||||
\(615\) | 1.70824 | + | 18.4631i | 0.0688829 | + | 0.744503i | ||||
\(616\) | −30.2801 | + | 6.43623i | −1.22002 | + | 0.259323i | ||||
\(617\) | −0.105946 | + | 1.00801i | −0.00426524 | + | 0.0405811i | −0.996448 | − | 0.0842162i | \(-0.973161\pi\) |
0.992182 | + | 0.124797i | \(0.0398280\pi\) | |||||||
\(618\) | −40.0749 | + | 3.96272i | −1.61205 | + | 0.159404i | ||||
\(619\) | 42.0648 | − | 18.7285i | 1.69073 | − | 0.752761i | 0.691181 | − | 0.722681i | \(-0.257091\pi\) |
0.999548 | − | 0.0300796i | \(-0.00957609\pi\) | |||||||
\(620\) | 13.5117 | + | 65.5981i | 0.542644 | + | 2.63448i | ||||
\(621\) | 12.2074 | + | 1.51151i | 0.489867 | + | 0.0606546i | ||||
\(622\) | −20.2673 | + | 14.7250i | −0.812644 | + | 0.590420i | ||||
\(623\) | −0.693866 | − | 0.147486i | −0.0277991 | − | 0.00590889i | ||||
\(624\) | −20.4587 | + | 2.02302i | −0.819004 | + | 0.0809855i | ||||
\(625\) | −24.3149 | − | 5.81261i | −0.972595 | − | 0.232505i | ||||
\(626\) | 43.5789 | + | 75.4809i | 1.74176 | + | 3.01682i | ||||
\(627\) | 30.4891 | + | 3.39447i | 1.21762 | + | 0.135562i | ||||
\(628\) | −1.79346 | − | 17.0636i | −0.0715668 | − | 0.680913i | ||||
\(629\) | 18.3110 | − | 13.3037i | 0.730108 | − | 0.530455i | ||||
\(630\) | −34.8664 | − | 4.32227i | −1.38911 | − | 0.172203i | ||||
\(631\) | −6.24556 | − | 4.53767i | −0.248632 | − | 0.180642i | 0.456488 | − | 0.889729i | \(-0.349107\pi\) |
−0.705120 | + | 0.709088i | \(0.749107\pi\) | |||||||
\(632\) | −45.5848 | + | 78.9552i | −1.81327 | + | 3.14067i | ||||
\(633\) | −0.142051 | + | 23.0701i | −0.00564602 | + | 0.916954i | ||||
\(634\) | −55.0836 | + | 11.7084i | −2.18765 | + | 0.464999i | ||||
\(635\) | 19.2426 | + | 11.2720i | 0.763620 | + | 0.447317i | ||||
\(636\) | 14.1332 | − | 19.2029i | 0.560418 | − | 0.761445i | ||||
\(637\) | 3.25219 | + | 3.61192i | 0.128857 | + | 0.143110i | ||||
\(638\) | −15.6798 | + | 48.2575i | −0.620770 | + | 1.91053i | ||||
\(639\) | −14.9539 | − | 26.6535i | −0.591565 | − | 1.05440i | ||||
\(640\) | 21.9790 | + | 20.0422i | 0.868795 | + | 0.792239i | ||||
\(641\) | 18.6755 | + | 20.7412i | 0.737637 | + | 0.819229i | 0.988883 | − | 0.148694i | \(-0.0475070\pi\) |
−0.251246 | + | 0.967923i | \(0.580840\pi\) | |||||||
\(642\) | 3.73841 | − | 2.12779i | 0.147543 | − | 0.0839772i | ||||
\(643\) | −3.87285 | − | 6.70797i | −0.152730 | − | 0.264537i | 0.779500 | − | 0.626402i | \(-0.215473\pi\) |
−0.932230 | + | 0.361866i | \(0.882140\pi\) | |||||||
\(644\) | −2.25842 | + | 21.4874i | −0.0889943 | + | 0.846724i | ||||
\(645\) | 25.7090 | + | 19.1726i | 1.01229 | + | 0.754922i | ||||
\(646\) | −8.69421 | − | 82.7199i | −0.342069 | − | 3.25457i | ||||
\(647\) | −27.8778 | + | 20.2544i | −1.09599 | + | 0.796283i | −0.980401 | − | 0.197015i | \(-0.936875\pi\) |
−0.115588 | + | 0.993297i | \(0.536875\pi\) | |||||||
\(648\) | 35.7842 | + | 41.7666i | 1.40574 | + | 1.64075i | ||||
\(649\) | 25.5879 | 1.00441 | ||||||||
\(650\) | −2.64572 | + | 22.4466i | −0.103774 | + | 0.880428i | ||||
\(651\) | 24.1939 | − | 2.39237i | 0.948236 | − | 0.0937643i | ||||
\(652\) | 24.7854 | − | 27.5269i | 0.970670 | − | 1.07804i | ||||
\(653\) | −10.9336 | − | 4.86796i | −0.427866 | − | 0.190498i | 0.181494 | − | 0.983392i | \(-0.441907\pi\) |
−0.609360 | + | 0.792894i | \(0.708573\pi\) | |||||||
\(654\) | 7.86279 | + | 38.1449i | 0.307459 | + | 1.49158i | ||||
\(655\) | −17.9254 | − | 25.0021i | −0.700403 | − | 0.976911i | ||||
\(656\) | 25.7547 | + | 18.7119i | 1.00555 | + | 0.730576i | ||||
\(657\) | −5.78855 | + | 1.15608i | −0.225833 | + | 0.0451030i | ||||
\(658\) | 42.9225 | + | 31.1850i | 1.67329 | + | 1.21572i | ||||
\(659\) | 6.24538 | + | 6.93619i | 0.243285 | + | 0.270196i | 0.852404 | − | 0.522883i | \(-0.175144\pi\) |
−0.609119 | + | 0.793079i | \(0.708477\pi\) | |||||||
\(660\) | 28.3986 | − | 30.7603i | 1.10542 | − | 1.19734i | ||||
\(661\) | 3.22292 | − | 3.57941i | 0.125357 | − | 0.139223i | −0.677199 | − | 0.735800i | \(-0.736806\pi\) |
0.802556 | + | 0.596577i | \(0.203473\pi\) | |||||||
\(662\) | 32.4183 | − | 6.89073i | 1.25997 | − | 0.267816i | ||||
\(663\) | −13.3822 | + | 4.25722i | −0.519721 | + | 0.165337i | ||||
\(664\) | −24.2709 | − | 5.15893i | −0.941892 | − | 0.200205i | ||||
\(665\) | −13.7935 | + | 30.4624i | −0.534888 | + | 1.18128i | ||||
\(666\) | 30.3511 | + | 22.6276i | 1.17608 | + | 0.876801i | ||||
\(667\) | 15.6664 | + | 11.3823i | 0.606605 | + | 0.440724i | ||||
\(668\) | −23.8482 | + | 41.3063i | −0.922714 | + | 1.59819i | ||||
\(669\) | 5.49230 | − | 3.12605i | 0.212345 | − | 0.120860i | ||||
\(670\) | 3.70177 | + | 8.45739i | 0.143012 | + | 0.326737i | ||||
\(671\) | −5.90050 | − | 2.62707i | −0.227786 | − | 0.101417i | ||||
\(672\) | −12.3589 | + | 10.9910i | −0.476757 | + | 0.423987i | ||||
\(673\) | 17.4410 | + | 3.70720i | 0.672301 | + | 0.142902i | 0.531399 | − | 0.847122i | \(-0.321666\pi\) |
0.140902 | + | 0.990024i | \(0.455000\pi\) | |||||||
\(674\) | 36.7946 | 1.41728 | ||||||||
\(675\) | 22.8928 | − | 12.2850i | 0.881144 | − | 0.472848i | ||||
\(676\) | −43.3093 | −1.66574 | ||||||||
\(677\) | −14.9861 | − | 3.18540i | −0.575963 | − | 0.122425i | −0.0892851 | − | 0.996006i | \(-0.528458\pi\) |
−0.486678 | + | 0.873581i | \(0.661792\pi\) | |||||||
\(678\) | −22.2319 | + | 19.7711i | −0.853809 | + | 0.759306i | ||||
\(679\) | −20.8135 | − | 9.26678i | −0.798750 | − | 0.355627i | ||||
\(680\) | −53.5550 | − | 31.3717i | −2.05374 | − | 1.20305i | ||||
\(681\) | 23.6553 | − | 13.4639i | 0.906474 | − | 0.515937i | ||||
\(682\) | −21.0497 | + | 36.4591i | −0.806034 | + | 1.39609i | ||||
\(683\) | −22.9889 | − | 16.7024i | −0.879645 | − | 0.639100i | 0.0535124 | − | 0.998567i | \(-0.482958\pi\) |
−0.933158 | + | 0.359468i | \(0.882958\pi\) | |||||||
\(684\) | 87.9310 | − | 37.8590i | 3.36213 | − | 1.44757i | ||||
\(685\) | −18.9543 | − | 2.11305i | −0.724207 | − | 0.0807355i | ||||
\(686\) | 49.8093 | + | 10.5873i | 1.90173 | + | 0.404225i | ||||
\(687\) | −9.91601 | + | 3.15454i | −0.378319 | + | 0.120353i | ||||
\(688\) | 53.8592 | − | 11.4481i | 2.05336 | − | 0.436455i | ||||
\(689\) | −3.72571 | + | 4.13782i | −0.141938 | + | 0.157638i | ||||
\(690\) | −11.3576 | − | 20.2506i | −0.432377 | − | 0.770925i | ||||
\(691\) | 14.7072 | + | 16.3340i | 0.559488 | + | 0.621374i | 0.954827 | − | 0.297161i | \(-0.0960397\pi\) |
−0.395340 | + | 0.918535i | \(0.629373\pi\) | |||||||
\(692\) | 58.7708 | + | 42.6995i | 2.23413 | + | 1.62319i | ||||
\(693\) | −10.0289 | − | 11.4179i | −0.380967 | − | 0.433730i | ||||
\(694\) | −22.8739 | − | 16.6188i | −0.868280 | − | 0.630842i | ||||
\(695\) | −0.131497 | + | 20.8619i | −0.00498796 | + | 0.791337i | ||||
\(696\) | 17.4802 | + | 84.8022i | 0.662587 | + | 3.21442i | ||||
\(697\) | 19.8654 | + | 8.84466i | 0.752457 | + | 0.335016i | ||||
\(698\) | −13.8486 | + | 15.3804i | −0.524176 | + | 0.582156i | ||||
\(699\) | 1.03187 | − | 0.102034i | 0.0390287 | − | 0.00385928i | ||||
\(700\) | 22.3173 | + | 39.8052i | 0.843515 | + | 1.50450i | ||||
\(701\) | 6.44692 | 0.243497 | 0.121748 | − | 0.992561i | \(-0.461150\pi\) | ||||
0.121748 | + | 0.992561i | \(0.461150\pi\) | |||||||
\(702\) | −13.4529 | − | 19.2545i | −0.507749 | − | 0.726714i | ||||
\(703\) | 29.1511 | − | 21.1795i | 1.09946 | − | 0.798801i | ||||
\(704\) | 0.411282 | + | 3.91309i | 0.0155008 | + | 0.147480i | ||||
\(705\) | −39.2308 | − | 0.488857i | −1.47752 | − | 0.0184114i | ||||
\(706\) | 5.96893 | − | 56.7906i | 0.224644 | − | 2.13734i | ||||
\(707\) | 13.2125 | + | 22.8847i | 0.496906 | + | 0.860666i | ||||
\(708\) | 69.3981 | − | 39.4993i | 2.60814 | − | 1.48447i | ||||
\(709\) | −3.28572 | − | 3.64916i | −0.123398 | − | 0.137047i | 0.678280 | − | 0.734804i | \(-0.262726\pi\) |
−0.801678 | + | 0.597756i | \(0.796059\pi\) | |||||||
\(710\) | −23.7952 | + | 52.5509i | −0.893017 | + | 1.97220i | ||||
\(711\) | −44.7529 | − | 0.551141i | −1.67836 | − | 0.0206694i | ||||
\(712\) | 0.647729 | − | 1.99351i | 0.0242747 | − | 0.0747098i | ||||
\(713\) | 10.7507 | + | 11.9399i | 0.402619 | + | 0.447153i | ||||
\(714\) | −24.4235 | + | 33.1844i | −0.914026 | + | 1.24190i | ||||
\(715\) | −7.30646 | + | 6.49585i | −0.273246 | + | 0.242931i | ||||
\(716\) | −2.25545 | + | 0.479412i | −0.0842903 | + | 0.0179165i | ||||
\(717\) | −0.0125315 | + | 2.03521i | −0.000467999 | + | 0.0760064i | ||||
\(718\) | 31.7906 | − | 55.0629i | 1.18641 | − | 2.05493i | ||||
\(719\) | 38.7957 | + | 28.1867i | 1.44683 | + | 1.05119i | 0.986558 | + | 0.163412i | \(0.0522498\pi\) |
0.460277 | + | 0.887775i | \(0.347750\pi\) | |||||||
\(720\) | 10.0848 | − | 43.4513i | 0.375839 | − | 1.61933i | ||||
\(721\) | 15.3612 | − | 11.1605i | 0.572080 | − | 0.415640i | ||||
\(722\) | −8.81169 | − | 83.8376i | −0.327937 | − | 3.12011i | ||||
\(723\) | −30.9359 | − | 3.44421i | −1.15052 | − | 0.128091i | ||||
\(724\) | −50.9263 | − | 88.2070i | −1.89266 | − | 3.27819i | ||||
\(725\) | 40.8979 | + | 0.515595i | 1.51891 | + | 0.0191487i | ||||
\(726\) | −21.8270 | + | 2.15832i | −0.810077 | + | 0.0801028i | ||||
\(727\) | −10.1485 | − | 2.15714i | −0.376389 | − | 0.0800039i | 0.0158329 | − | 0.999875i | \(-0.494960\pi\) |
−0.392222 | + | 0.919871i | \(0.628293\pi\) | |||||||
\(728\) | 18.2513 | − | 13.2603i | 0.676437 | − | 0.491461i | ||||
\(729\) | −9.28621 | + | 25.3528i | −0.343934 | + | 0.938994i | ||||
\(730\) | 8.23293 | + | 7.50747i | 0.304715 | + | 0.277864i | ||||
\(731\) | 34.3601 | − | 15.2981i | 1.27086 | − | 0.565821i | ||||
\(732\) | −20.0584 | + | 1.98343i | −0.741379 | + | 0.0733097i | ||||
\(733\) | 1.00624 | − | 9.57373i | 0.0371663 | − | 0.353614i | −0.960096 | − | 0.279670i | \(-0.909775\pi\) |
0.997262 | − | 0.0739435i | \(-0.0235584\pi\) | |||||||
\(734\) | 15.9880 | − | 3.39836i | 0.590129 | − | 0.125436i | ||||
\(735\) | −9.68654 | + | 4.16889i | −0.357294 | + | 0.153772i | ||||
\(736\) | −10.6912 | − | 2.27249i | −0.394084 | − | 0.0837651i | ||||
\(737\) | −1.23401 | + | 3.79789i | −0.0454553 | + | 0.139897i | ||||
\(738\) | −4.24705 | + | 36.1231i | −0.156336 | + | 1.32971i | ||||
\(739\) | −10.9628 | − | 33.7400i | −0.403273 | − | 1.24115i | −0.922329 | − | 0.386406i | \(-0.873716\pi\) |
0.519056 | − | 0.854740i | \(-0.326284\pi\) | |||||||
\(740\) | 0.309942 | − | 49.1722i | 0.0113937 | − | 1.80761i | ||||
\(741\) | −21.3044 | + | 6.77748i | −0.782637 | + | 0.248977i | ||||
\(742\) | −1.70767 | + | 16.2474i | −0.0626905 | + | 0.596460i | ||||
\(743\) | 1.41943 | + | 2.45852i | 0.0520738 | + | 0.0901944i | 0.890887 | − | 0.454224i | \(-0.150084\pi\) |
−0.838814 | + | 0.544419i | \(0.816750\pi\) | |||||||
\(744\) | −0.442330 | + | 71.8376i | −0.0162166 | + | 2.63369i | ||||
\(745\) | −14.7409 | − | 4.89255i | −0.540066 | − | 0.179249i | ||||
\(746\) | 49.3797 | − | 35.8765i | 1.80792 | − | 1.31353i | ||||
\(747\) | −3.62121 | − | 11.6303i | −0.132493 | − | 0.425532i | ||||
\(748\) | −15.1721 | − | 46.6951i | −0.554749 | − | 1.70734i | ||||
\(749\) | −1.01409 | + | 1.75645i | −0.0370539 | + | 0.0641793i | ||||
\(750\) | −44.2863 | − | 21.0630i | −1.61711 | − | 0.769112i | ||||
\(751\) | −19.4018 | − | 33.6049i | −0.707983 | − | 1.22626i | −0.965604 | − | 0.260016i | \(-0.916272\pi\) |
0.257622 | − | 0.966246i | \(-0.417061\pi\) | |||||||
\(752\) | −45.0729 | + | 50.0585i | −1.64364 | + | 1.82545i | ||||
\(753\) | −0.405332 | + | 0.360468i | −0.0147711 | + | 0.0131362i | ||||
\(754\) | −3.86524 | − | 36.7753i | −0.140764 | − | 1.33928i | ||||
\(755\) | −0.355659 | − | 1.72669i | −0.0129438 | − | 0.0628407i | ||||
\(756\) | −44.8254 | − | 15.4857i | −1.63028 | − | 0.563210i | ||||
\(757\) | 32.7437 | 1.19009 | 0.595046 | − | 0.803692i | \(-0.297134\pi\) | ||||
0.595046 | + | 0.803692i | \(0.297134\pi\) | |||||||
\(758\) | 0.987987 | − | 0.439880i | 0.0358853 | − | 0.0159772i | ||||
\(759\) | 2.14851 | − | 9.81052i | 0.0779859 | − | 0.356099i | ||||
\(760\) | −85.2594 | − | 49.9437i | −3.09269 | − | 1.81165i | ||||
\(761\) | −0.299221 | + | 0.332319i | −0.0108468 | + | 0.0120465i | −0.748544 | − | 0.663085i | \(-0.769247\pi\) |
0.737697 | + | 0.675132i | \(0.235913\pi\) | |||||||
\(762\) | 32.3286 | + | 29.4713i | 1.17114 | + | 1.06763i | ||||
\(763\) | −12.2875 | − | 13.6467i | −0.444838 | − | 0.494043i | ||||
\(764\) | −1.36911 | − | 4.21370i | −0.0495328 | − | 0.152446i | ||||
\(765\) | 0.567239 | − | 30.4642i | 0.0205086 | − | 1.10144i | ||||
\(766\) | 17.8521 | − | 54.9431i | 0.645022 | − | 1.98517i | ||||
\(767\) | −17.0352 | + | 7.58457i | −0.615106 | + | 0.273863i | ||||
\(768\) | 30.7617 | + | 42.8928i | 1.11002 | + | 1.54776i | ||||
\(769\) | 0.783090 | − | 7.45061i | 0.0282390 | − | 0.268676i | −0.971288 | − | 0.237908i | \(-0.923538\pi\) |
0.999527 | − | 0.0307674i | \(-0.00979512\pi\) | |||||||
\(770\) | −6.14069 | + | 28.0201i | −0.221295 | + | 1.00977i | ||||
\(771\) | −4.88353 | − | 1.62007i |