Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,2,Mod(11,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.p (of order \(54\), degree \(18\), 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: | \(2.58715302549\) |
Analytic rank: | \(0\) |
Dimension: | \(936\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 83.25 | ||
Character | \(\chi\) | \(=\) | 324.83 |
Dual form | 324.2.p.a.203.25 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.168574 | + | 1.40413i | −0.119200 | + | 0.992870i | ||||
\(3\) | 1.51971 | − | 0.830960i | 0.877403 | − | 0.479755i | ||||
\(4\) | −1.94317 | − | 0.473400i | −0.971583 | − | 0.236700i | ||||
\(5\) | −0.117936 | − | 0.497610i | −0.0527425 | − | 0.222538i | 0.940291 | − | 0.340372i | \(-0.110553\pi\) |
−0.993033 | + | 0.117834i | \(0.962405\pi\) | |||||||
\(6\) | 0.910593 | + | 2.27394i | 0.371748 | + | 0.928334i | ||||
\(7\) | 0.633075 | − | 0.471307i | 0.239280 | − | 0.178137i | −0.470839 | − | 0.882219i | \(-0.656049\pi\) |
0.710119 | + | 0.704082i | \(0.248641\pi\) | |||||||
\(8\) | 0.992283 | − | 2.64866i | 0.350825 | − | 0.936441i | ||||
\(9\) | 1.61901 | − | 2.52563i | 0.539671 | − | 0.841876i | ||||
\(10\) | 0.718590 | − | 0.0817130i | 0.227238 | − | 0.0258399i | ||||
\(11\) | 2.23279 | − | 2.36662i | 0.673211 | − | 0.713562i | −0.297256 | − | 0.954798i | \(-0.596071\pi\) |
0.970466 | + | 0.241236i | \(0.0775528\pi\) | |||||||
\(12\) | −3.34642 | + | 0.895264i | −0.966027 | + | 0.258440i | ||||
\(13\) | 4.23911 | + | 2.12896i | 1.17572 | + | 0.590468i | 0.925879 | − | 0.377820i | \(-0.123326\pi\) |
0.249839 | + | 0.968287i | \(0.419622\pi\) | |||||||
\(14\) | 0.555056 | + | 0.968370i | 0.148345 | + | 0.258808i | ||||
\(15\) | −0.592722 | − | 0.658221i | −0.153040 | − | 0.169952i | ||||
\(16\) | 3.55178 | + | 1.83979i | 0.887946 | + | 0.459947i | ||||
\(17\) | −2.31643 | + | 6.36435i | −0.561818 | + | 1.54358i | 0.255152 | + | 0.966901i | \(0.417874\pi\) |
−0.816970 | + | 0.576680i | \(0.804348\pi\) | |||||||
\(18\) | 3.27339 | + | 2.69906i | 0.771545 | + | 0.636174i | ||||
\(19\) | −2.18291 | − | 5.99751i | −0.500795 | − | 1.37592i | −0.890500 | − | 0.454983i | \(-0.849645\pi\) |
0.389705 | − | 0.920940i | \(-0.372577\pi\) | |||||||
\(20\) | −0.00639995 | + | 1.02277i | −0.00143107 | + | 0.228698i | ||||
\(21\) | 0.570450 | − | 1.24231i | 0.124482 | − | 0.271094i | ||||
\(22\) | 2.94665 | + | 3.53408i | 0.628228 | + | 0.753467i | ||||
\(23\) | −3.12479 | + | 4.19732i | −0.651564 | + | 0.875202i | −0.998022 | − | 0.0628630i | \(-0.979977\pi\) |
0.346458 | + | 0.938065i | \(0.387384\pi\) | |||||||
\(24\) | −0.692948 | − | 4.84972i | −0.141447 | − | 0.989946i | ||||
\(25\) | 4.23446 | − | 2.12662i | 0.846891 | − | 0.425325i | ||||
\(26\) | −3.70394 | + | 5.59338i | −0.726403 | + | 1.09695i | ||||
\(27\) | 0.361725 | − | 5.18355i | 0.0696140 | − | 0.997574i | ||||
\(28\) | −1.45329 | + | 0.616129i | −0.274645 | + | 0.116437i | ||||
\(29\) | 0.742973 | − | 1.12964i | 0.137967 | − | 0.209768i | −0.759895 | − | 0.650046i | \(-0.774750\pi\) |
0.897862 | + | 0.440278i | \(0.145120\pi\) | |||||||
\(30\) | 1.02415 | − | 0.721299i | 0.186983 | − | 0.131691i | ||||
\(31\) | 6.37616 | − | 2.75041i | 1.14519 | − | 0.493987i | 0.262962 | − | 0.964806i | \(-0.415301\pi\) |
0.882230 | + | 0.470819i | \(0.156041\pi\) | |||||||
\(32\) | −3.18204 | + | 4.67703i | −0.562511 | + | 0.826790i | ||||
\(33\) | 1.42662 | − | 5.45192i | 0.248342 | − | 0.949057i | ||||
\(34\) | −8.54588 | − | 4.32544i | −1.46561 | − | 0.741807i | ||||
\(35\) | −0.309189 | − | 0.259440i | −0.0522625 | − | 0.0438534i | ||||
\(36\) | −4.34164 | + | 4.14127i | −0.723607 | + | 0.690212i | ||||
\(37\) | −6.15927 | + | 5.16824i | −1.01258 | + | 0.849653i | −0.988677 | − | 0.150061i | \(-0.952053\pi\) |
−0.0239006 | + | 0.999714i | \(0.507609\pi\) | |||||||
\(38\) | 8.78927 | − | 2.05407i | 1.42581 | − | 0.333215i | ||||
\(39\) | 8.21128 | − | 0.287136i | 1.31486 | − | 0.0459785i | ||||
\(40\) | −1.43502 | − | 0.181399i | −0.226897 | − | 0.0286817i | ||||
\(41\) | −8.56378 | + | 0.498783i | −1.33744 | + | 0.0778969i | −0.711891 | − | 0.702290i | \(-0.752161\pi\) |
−0.625547 | + | 0.780187i | \(0.715124\pi\) | |||||||
\(42\) | 1.64820 | + | 1.01041i | 0.254322 | + | 0.155909i | ||||
\(43\) | −5.08905 | + | 1.52356i | −0.776074 | + | 0.232341i | −0.650259 | − | 0.759713i | \(-0.725340\pi\) |
−0.125815 | + | 0.992054i | \(0.540154\pi\) | |||||||
\(44\) | −5.45903 | + | 3.54173i | −0.822980 | + | 0.533935i | ||||
\(45\) | −1.44772 | − | 0.507774i | −0.215813 | − | 0.0756945i | ||||
\(46\) | −5.36683 | − | 5.09518i | −0.791296 | − | 0.751243i | ||||
\(47\) | −0.840252 | + | 1.94792i | −0.122563 | + | 0.284134i | −0.968441 | − | 0.249243i | \(-0.919818\pi\) |
0.845878 | + | 0.533377i | \(0.179077\pi\) | |||||||
\(48\) | 6.92646 | − | 0.155452i | 0.999748 | − | 0.0224375i | ||||
\(49\) | −1.82897 | + | 6.10918i | −0.261281 | + | 0.872740i | ||||
\(50\) | 2.27224 | + | 6.30422i | 0.321343 | + | 0.891552i | ||||
\(51\) | 1.76822 | + | 11.5968i | 0.247600 | + | 1.62388i | ||||
\(52\) | −7.22944 | − | 6.14372i | −1.00254 | − | 0.851981i | ||||
\(53\) | −3.73273 | + | 2.15509i | −0.512730 | + | 0.296025i | −0.733955 | − | 0.679198i | \(-0.762328\pi\) |
0.221225 | + | 0.975223i | \(0.428994\pi\) | |||||||
\(54\) | 7.21740 | + | 1.38172i | 0.982164 | + | 0.188028i | ||||
\(55\) | −1.44098 | − | 0.831949i | −0.194301 | − | 0.112180i | ||||
\(56\) | −0.620140 | − | 2.14447i | −0.0828696 | − | 0.286566i | ||||
\(57\) | −8.30108 | − | 7.30053i | −1.09950 | − | 0.966979i | ||||
\(58\) | 1.46091 | + | 1.23366i | 0.191827 | + | 0.161987i | ||||
\(59\) | 1.53333 | + | 1.62523i | 0.199623 | + | 0.211588i | 0.819450 | − | 0.573150i | \(-0.194279\pi\) |
−0.619828 | + | 0.784738i | \(0.712797\pi\) | |||||||
\(60\) | 0.840154 | + | 1.55963i | 0.108463 | + | 0.201347i | ||||
\(61\) | 7.35825 | − | 0.860056i | 0.942128 | − | 0.110119i | 0.368858 | − | 0.929486i | \(-0.379749\pi\) |
0.573270 | + | 0.819367i | \(0.305675\pi\) | |||||||
\(62\) | 2.78707 | + | 9.41660i | 0.353959 | + | 1.19591i | ||||
\(63\) | −0.165390 | − | 2.36196i | −0.0208372 | − | 0.297579i | ||||
\(64\) | −6.03075 | − | 5.25643i | −0.753844 | − | 0.657054i | ||||
\(65\) | 0.559450 | − | 2.36050i | 0.0693912 | − | 0.292785i | ||||
\(66\) | 7.41471 | + | 2.92221i | 0.912688 | + | 0.359699i | ||||
\(67\) | −5.37330 | − | 8.16971i | −0.656454 | − | 0.998089i | −0.998297 | − | 0.0583323i | \(-0.981422\pi\) |
0.341844 | − | 0.939757i | \(-0.388949\pi\) | |||||||
\(68\) | 7.51410 | − | 11.2704i | 0.911218 | − | 1.36673i | ||||
\(69\) | −1.26096 | + | 8.97527i | −0.151801 | + | 1.08050i | ||||
\(70\) | 0.416409 | − | 0.390407i | 0.0497704 | − | 0.0466625i | ||||
\(71\) | −0.383173 | − | 2.17308i | −0.0454742 | − | 0.257897i | 0.953592 | − | 0.301102i | \(-0.0973544\pi\) |
−0.999066 | + | 0.0432046i | \(0.986243\pi\) | |||||||
\(72\) | −5.08300 | − | 6.79434i | −0.599038 | − | 0.800721i | ||||
\(73\) | 0.885226 | − | 5.02037i | 0.103608 | − | 0.587589i | −0.888159 | − | 0.459536i | \(-0.848016\pi\) |
0.991767 | − | 0.128054i | \(-0.0408730\pi\) | |||||||
\(74\) | −6.21859 | − | 9.51965i | −0.722896 | − | 1.10664i | ||||
\(75\) | 4.66799 | − | 6.75051i | 0.539013 | − | 0.779481i | ||||
\(76\) | 1.40254 | + | 12.6875i | 0.160883 | + | 1.45536i | ||||
\(77\) | 0.298119 | − | 2.55057i | 0.0339738 | − | 0.290665i | ||||
\(78\) | −0.981034 | + | 11.5781i | −0.111080 | + | 1.31096i | ||||
\(79\) | 0.707970 | + | 0.0412346i | 0.0796529 | + | 0.00463925i | 0.0979250 | − | 0.995194i | \(-0.468779\pi\) |
−0.0182721 | + | 0.999833i | \(0.505817\pi\) | |||||||
\(80\) | 0.496615 | − | 1.98438i | 0.0555233 | − | 0.221860i | ||||
\(81\) | −3.75760 | − | 8.17804i | −0.417511 | − | 0.908672i | ||||
\(82\) | 0.743275 | − | 12.1087i | 0.0820809 | − | 1.33719i | ||||
\(83\) | −0.517425 | + | 8.88385i | −0.0567948 | + | 0.975129i | 0.842751 | + | 0.538303i | \(0.180934\pi\) |
−0.899546 | + | 0.436826i | \(0.856103\pi\) | |||||||
\(84\) | −1.69659 | + | 2.14396i | −0.185113 | + | 0.233925i | ||||
\(85\) | 3.44015 | + | 0.402096i | 0.373137 | + | 0.0436135i | ||||
\(86\) | −1.28140 | − | 7.40253i | −0.138177 | − | 0.798235i | ||||
\(87\) | 0.190419 | − | 2.33409i | 0.0204150 | − | 0.250241i | ||||
\(88\) | −4.05279 | − | 8.26224i | −0.432029 | − | 0.880758i | ||||
\(89\) | −5.10885 | − | 0.900828i | −0.541537 | − | 0.0954875i | −0.103813 | − | 0.994597i | \(-0.533104\pi\) |
−0.437724 | + | 0.899109i | \(0.644215\pi\) | |||||||
\(90\) | 0.957029 | − | 1.94719i | 0.100880 | − | 0.205252i | ||||
\(91\) | 3.68707 | − | 0.650129i | 0.386510 | − | 0.0681521i | ||||
\(92\) | 8.05900 | − | 6.67682i | 0.840209 | − | 0.696106i | ||||
\(93\) | 7.40441 | − | 9.47814i | 0.767801 | − | 0.982837i | ||||
\(94\) | −2.59349 | − | 1.50819i | −0.267498 | − | 0.155558i | ||||
\(95\) | −2.72698 | + | 1.79356i | −0.279782 | + | 0.184015i | ||||
\(96\) | −0.949347 | + | 9.75186i | −0.0968923 | + | 0.995295i | ||||
\(97\) | −3.30644 | − | 0.783640i | −0.335718 | − | 0.0795666i | 0.0592994 | − | 0.998240i | \(-0.481113\pi\) |
−0.395017 | + | 0.918674i | \(0.629261\pi\) | |||||||
\(98\) | −8.26977 | − | 3.59796i | −0.835373 | − | 0.363449i | ||||
\(99\) | −2.36229 | − | 9.47077i | −0.237419 | − | 0.951849i | ||||
\(100\) | −9.23499 | + | 2.12779i | −0.923499 | + | 0.212779i | ||||
\(101\) | 1.60989 | + | 13.7735i | 0.160190 | + | 1.37052i | 0.799083 | + | 0.601220i | \(0.205319\pi\) |
−0.638893 | + | 0.769296i | \(0.720607\pi\) | |||||||
\(102\) | −16.5815 | + | 0.527892i | −1.64181 | + | 0.0522691i | ||||
\(103\) | −1.92819 | + | 1.81915i | −0.189990 | + | 0.179246i | −0.775359 | − | 0.631521i | \(-0.782431\pi\) |
0.585369 | + | 0.810767i | \(0.300950\pi\) | |||||||
\(104\) | 9.84528 | − | 9.11541i | 0.965409 | − | 0.893840i | ||||
\(105\) | −0.685461 | − | 0.137349i | −0.0668941 | − | 0.0134039i | ||||
\(106\) | −2.39679 | − | 5.60453i | −0.232797 | − | 0.544360i | ||||
\(107\) | 0.186255 | − | 0.322603i | 0.0180059 | − | 0.0311872i | −0.856882 | − | 0.515513i | \(-0.827602\pi\) |
0.874888 | + | 0.484325i | \(0.160935\pi\) | |||||||
\(108\) | −3.15678 | + | 9.90125i | −0.303762 | + | 0.952748i | ||||
\(109\) | 3.87310 | + | 6.70840i | 0.370976 | + | 0.642548i | 0.989716 | − | 0.143047i | \(-0.0456900\pi\) |
−0.618740 | + | 0.785596i | \(0.712357\pi\) | |||||||
\(110\) | 1.41108 | − | 1.88308i | 0.134541 | − | 0.179544i | ||||
\(111\) | −5.06568 | + | 12.9723i | −0.480813 | + | 1.23128i | ||||
\(112\) | 3.11565 | − | 0.509256i | 0.294401 | − | 0.0481201i | ||||
\(113\) | 1.03525 | + | 0.309933i | 0.0973880 | + | 0.0291561i | 0.335127 | − | 0.942173i | \(-0.391221\pi\) |
−0.237738 | + | 0.971329i | \(0.576406\pi\) | |||||||
\(114\) | 11.6502 | − | 10.4251i | 1.09115 | − | 0.976401i | ||||
\(115\) | 2.45715 | + | 1.05991i | 0.229131 | + | 0.0988374i | ||||
\(116\) | −1.97849 | + | 1.84334i | −0.183698 | + | 0.171150i | ||||
\(117\) | 12.2401 | − | 7.25961i | 1.13160 | − | 0.671151i | ||||
\(118\) | −2.54052 | + | 1.87902i | −0.233874 | + | 0.172978i | ||||
\(119\) | 1.53308 | + | 5.12086i | 0.140538 | + | 0.469428i | ||||
\(120\) | −2.33155 | + | 0.916774i | −0.212840 | + | 0.0836896i | ||||
\(121\) | 0.0240594 | + | 0.413084i | 0.00218722 | + | 0.0375531i | ||||
\(122\) | −0.0327792 | + | 10.4769i | −0.00296769 | + | 0.948537i | ||||
\(123\) | −12.6000 | + | 7.87416i | −1.13610 | + | 0.709989i | ||||
\(124\) | −13.6920 | + | 2.32602i | −1.22958 | + | 0.208883i | ||||
\(125\) | −3.20121 | − | 3.81506i | −0.286325 | − | 0.341229i | ||||
\(126\) | 3.34438 | + | 0.165936i | 0.297941 | + | 0.0147827i | ||||
\(127\) | −13.4041 | + | 15.9744i | −1.18942 | + | 1.41750i | −0.304028 | + | 0.952663i | \(0.598332\pi\) |
−0.885396 | + | 0.464838i | \(0.846113\pi\) | |||||||
\(128\) | 8.39734 | − | 7.58186i | 0.742227 | − | 0.670148i | ||||
\(129\) | −6.46785 | + | 6.54417i | −0.569462 | + | 0.576182i | ||||
\(130\) | 3.22015 | + | 1.18346i | 0.282426 | + | 0.103796i | ||||
\(131\) | −6.39720 | − | 14.8304i | −0.558926 | − | 1.29574i | −0.930145 | − | 0.367192i | \(-0.880319\pi\) |
0.371219 | − | 0.928545i | \(-0.378940\pi\) | |||||||
\(132\) | −5.35309 | + | 9.91862i | −0.465927 | + | 0.863305i | ||||
\(133\) | −4.20861 | − | 2.76805i | −0.364933 | − | 0.240020i | ||||
\(134\) | 12.3771 | − | 6.16762i | 1.06922 | − | 0.532801i | ||||
\(135\) | −2.62205 | + | 0.431327i | −0.225670 | + | 0.0371227i | ||||
\(136\) | 14.5584 | + | 12.4507i | 1.24837 | + | 1.06764i | ||||
\(137\) | −3.57303 | − | 7.11450i | −0.305265 | − | 0.607832i | 0.687733 | − | 0.725964i | \(-0.258606\pi\) |
−0.992998 | + | 0.118131i | \(0.962310\pi\) | |||||||
\(138\) | −12.3899 | − | 3.28355i | −1.05470 | − | 0.279514i | ||||
\(139\) | 5.47454 | + | 4.07564i | 0.464344 | + | 0.345691i | 0.803769 | − | 0.594942i | \(-0.202825\pi\) |
−0.339425 | + | 0.940633i | \(0.610232\pi\) | |||||||
\(140\) | 0.477986 | + | 0.650506i | 0.0403972 | + | 0.0549778i | ||||
\(141\) | 0.341710 | + | 3.65849i | 0.0287772 | + | 0.308100i | ||||
\(142\) | 3.11588 | − | 0.171699i | 0.261479 | − | 0.0144087i | ||||
\(143\) | 14.5035 | − | 5.27883i | 1.21284 | − | 0.441438i | ||||
\(144\) | 10.3970 | − | 5.99185i | 0.866417 | − | 0.499321i | ||||
\(145\) | −0.649741 | − | 0.236486i | −0.0539580 | − | 0.0196391i | ||||
\(146\) | 6.90002 | + | 2.08928i | 0.571050 | + | 0.172910i | ||||
\(147\) | 2.29699 | + | 10.8040i | 0.189453 | + | 0.891096i | ||||
\(148\) | 14.4151 | − | 7.12695i | 1.18492 | − | 0.585831i | ||||
\(149\) | 8.02032 | − | 15.9698i | 0.657050 | − | 1.30829i | −0.280303 | − | 0.959912i | \(-0.590435\pi\) |
0.937353 | − | 0.348382i | \(-0.113269\pi\) | |||||||
\(150\) | 8.69169 | + | 7.69243i | 0.709673 | + | 0.628084i | ||||
\(151\) | 11.3478 | + | 10.7061i | 0.923474 | + | 0.871253i | 0.991980 | − | 0.126398i | \(-0.0403415\pi\) |
−0.0685053 | + | 0.997651i | \(0.521823\pi\) | |||||||
\(152\) | −18.0514 | − | 0.169437i | −1.46416 | − | 0.0137432i | ||||
\(153\) | 12.3236 | + | 16.1544i | 0.996308 | + | 1.30601i | ||||
\(154\) | 3.53108 | + | 0.848559i | 0.284543 | + | 0.0683788i | ||||
\(155\) | −2.12061 | − | 2.84847i | −0.170331 | − | 0.228794i | ||||
\(156\) | −16.0918 | − | 3.32927i | −1.28838 | − | 0.266555i | ||||
\(157\) | 19.3887 | − | 4.59521i | 1.54739 | − | 0.366738i | 0.633839 | − | 0.773465i | \(-0.281478\pi\) |
0.913549 | + | 0.406728i | \(0.133330\pi\) | |||||||
\(158\) | −0.177244 | + | 0.987132i | −0.0141008 | + | 0.0785320i | ||||
\(159\) | −3.88186 | + | 6.37685i | −0.307851 | + | 0.505717i | ||||
\(160\) | 2.70261 | + | 1.03183i | 0.213660 | + | 0.0815732i | ||||
\(161\) | 4.12995i | 0.325486i | ||||||||
\(162\) | 12.1165 | − | 3.89756i | 0.951960 | − | 0.306221i | ||||
\(163\) | 11.7602i | 0.921130i | 0.887626 | + | 0.460565i | \(0.152353\pi\) | ||||
−0.887626 | + | 0.460565i | \(0.847647\pi\) | |||||||
\(164\) | 16.8770 | + | 3.08488i | 1.31787 | + | 0.240888i | ||||
\(165\) | −2.88118 | − | 0.0669230i | −0.224299 | − | 0.00520995i | ||||
\(166\) | −12.3869 | − | 2.22412i | −0.961407 | − | 0.172625i | ||||
\(167\) | −20.7323 | + | 4.91365i | −1.60431 | + | 0.380229i | −0.932695 | − | 0.360667i | \(-0.882549\pi\) |
−0.671619 | + | 0.740897i | \(0.734401\pi\) | |||||||
\(168\) | −2.72439 | − | 2.74365i | −0.210192 | − | 0.211677i | ||||
\(169\) | 5.67452 | + | 7.62221i | 0.436502 | + | 0.586324i | ||||
\(170\) | −1.14452 | + | 4.76264i | −0.0877804 | + | 0.365278i | ||||
\(171\) | −18.6816 | − | 4.19680i | −1.42862 | − | 0.320938i | ||||
\(172\) | 10.6101 | − | 0.551376i | 0.809015 | − | 0.0420420i | ||||
\(173\) | 17.2116 | + | 16.2383i | 1.30857 | + | 1.23457i | 0.954094 | + | 0.299507i | \(0.0968222\pi\) |
0.354476 | + | 0.935065i | \(0.384659\pi\) | |||||||
\(174\) | 3.24527 | + | 0.660840i | 0.246023 | + | 0.0500982i | ||||
\(175\) | 1.67843 | − | 3.34204i | 0.126878 | − | 0.252634i | ||||
\(176\) | 12.2845 | − | 4.29785i | 0.925976 | − | 0.323963i | ||||
\(177\) | 3.68071 | + | 1.19574i | 0.276659 | + | 0.0898775i | ||||
\(178\) | 2.12610 | − | 7.02163i | 0.159358 | − | 0.526294i | ||||
\(179\) | 1.35453 | + | 0.493008i | 0.101242 | + | 0.0368491i | 0.392145 | − | 0.919904i | \(-0.371733\pi\) |
−0.290902 | + | 0.956753i | \(0.593956\pi\) | |||||||
\(180\) | 2.57277 | + | 1.67204i | 0.191763 | + | 0.124626i | ||||
\(181\) | −7.20879 | + | 2.62378i | −0.535825 | + | 0.195024i | −0.595737 | − | 0.803179i | \(-0.703140\pi\) |
0.0599123 | + | 0.998204i | \(0.480918\pi\) | |||||||
\(182\) | 0.291323 | + | 5.28672i | 0.0215943 | + | 0.391878i | ||||
\(183\) | 10.4677 | − | 7.42144i | 0.773795 | − | 0.548609i | ||||
\(184\) | 8.01659 | + | 12.4414i | 0.590991 | + | 0.917194i | ||||
\(185\) | 3.29817 | + | 2.45539i | 0.242486 | + | 0.180524i | ||||
\(186\) | 12.0604 | + | 11.9945i | 0.884308 | + | 0.879481i | ||||
\(187\) | 9.88987 | + | 19.6923i | 0.723219 | + | 1.44005i | ||||
\(188\) | 2.55490 | − | 3.38736i | 0.186335 | − | 0.247049i | ||||
\(189\) | −2.21404 | − | 3.45206i | −0.161048 | − | 0.251100i | ||||
\(190\) | −2.05870 | − | 4.13138i | −0.149353 | − | 0.299722i | ||||
\(191\) | 5.74127 | + | 3.77609i | 0.415424 | + | 0.273229i | 0.739968 | − | 0.672642i | \(-0.234841\pi\) |
−0.324544 | + | 0.945871i | \(0.605211\pi\) | |||||||
\(192\) | −13.5328 | − | 2.97692i | −0.976649 | − | 0.214841i | ||||
\(193\) | 2.76966 | + | 6.42080i | 0.199365 | + | 0.462179i | 0.988343 | − | 0.152241i | \(-0.0486491\pi\) |
−0.788979 | + | 0.614420i | \(0.789390\pi\) | |||||||
\(194\) | 1.65771 | − | 4.51057i | 0.119017 | − | 0.323840i | ||||
\(195\) | −1.11129 | − | 4.05215i | −0.0795808 | − | 0.290181i | ||||
\(196\) | 6.44608 | − | 11.0053i | 0.460434 | − | 0.786094i | ||||
\(197\) | −6.86927 | + | 8.18648i | −0.489415 | + | 0.583262i | −0.953069 | − | 0.302754i | \(-0.902094\pi\) |
0.463653 | + | 0.886017i | \(0.346538\pi\) | |||||||
\(198\) | 13.6964 | − | 1.72043i | 0.973362 | − | 0.122266i | ||||
\(199\) | −16.0576 | − | 19.1367i | −1.13830 | − | 1.35657i | −0.925174 | − | 0.379542i | \(-0.876081\pi\) |
−0.213122 | − | 0.977026i | \(-0.568363\pi\) | |||||||
\(200\) | −1.43091 | − | 13.3258i | −0.101181 | − | 0.942278i | ||||
\(201\) | −14.9545 | − | 7.95056i | −1.05481 | − | 0.560789i | ||||
\(202\) | −19.6112 | − | 0.0613577i | −1.37984 | − | 0.00431711i | ||||
\(203\) | −0.0620473 | − | 1.06531i | −0.00435487 | − | 0.0747702i | ||||
\(204\) | 2.05398 | − | 23.3716i | 0.143807 | − | 1.63634i | ||||
\(205\) | 1.25818 | + | 4.20260i | 0.0878748 | + | 0.293522i | ||||
\(206\) | −2.22928 | − | 3.01409i | −0.155321 | − | 0.210001i | ||||
\(207\) | 5.54181 | + | 14.6876i | 0.385182 | + | 1.02086i | ||||
\(208\) | 11.1396 | + | 15.3607i | 0.772390 | + | 1.06507i | ||||
\(209\) | −19.0678 | − | 8.22504i | −1.31895 | − | 0.568938i | ||||
\(210\) | 0.308407 | − | 0.939323i | 0.0212821 | − | 0.0648194i | ||||
\(211\) | 8.26734 | + | 2.47508i | 0.569147 | + | 0.170391i | 0.558431 | − | 0.829551i | \(-0.311404\pi\) |
0.0107163 | + | 0.999943i | \(0.496589\pi\) | |||||||
\(212\) | 8.27353 | − | 2.42063i | 0.568228 | − | 0.166249i | ||||
\(213\) | −2.38805 | − | 2.98404i | −0.163627 | − | 0.204463i | ||||
\(214\) | 0.421579 | + | 0.315909i | 0.0288186 | + | 0.0215951i | ||||
\(215\) | 1.35832 | + | 2.35268i | 0.0926368 | + | 0.160452i | ||||
\(216\) | −13.3705 | − | 6.10163i | −0.909747 | − | 0.415163i | ||||
\(217\) | 2.74030 | − | 4.74634i | 0.186024 | − | 0.322202i | ||||
\(218\) | −10.0724 | + | 4.30747i | −0.682188 | + | 0.291739i | ||||
\(219\) | −2.82644 | − | 8.36507i | −0.190993 | − | 0.565259i | ||||
\(220\) | 2.40621 | + | 2.29877i | 0.162227 | + | 0.154983i | ||||
\(221\) | −23.3691 | + | 22.0476i | −1.57197 | + | 1.48308i | ||||
\(222\) | −17.3609 | − | 9.29966i | −1.16519 | − | 0.624153i | ||||
\(223\) | −0.780398 | − | 6.67673i | −0.0522593 | − | 0.447107i | −0.993883 | − | 0.110439i | \(-0.964774\pi\) |
0.941624 | − | 0.336668i | \(-0.109300\pi\) | |||||||
\(224\) | 0.189844 | + | 4.46063i | 0.0126845 | + | 0.298038i | ||||
\(225\) | 1.48457 | − | 14.1377i | 0.0989714 | − | 0.942513i | ||||
\(226\) | −0.609703 | + | 1.40138i | −0.0405568 | + | 0.0932183i | ||||
\(227\) | 20.5470 | + | 4.86972i | 1.36375 | + | 0.323215i | 0.846395 | − | 0.532556i | \(-0.178768\pi\) |
0.517355 | + | 0.855771i | \(0.326917\pi\) | |||||||
\(228\) | 12.6743 | + | 18.1159i | 0.839375 | + | 1.19975i | ||||
\(229\) | −11.2329 | + | 7.38801i | −0.742293 | + | 0.488214i | −0.863459 | − | 0.504419i | \(-0.831707\pi\) |
0.121166 | + | 0.992632i | \(0.461337\pi\) | |||||||
\(230\) | −1.90247 | + | 3.27149i | −0.125445 | + | 0.215716i | ||||
\(231\) | −1.66637 | − | 4.12385i | −0.109639 | − | 0.271329i | ||||
\(232\) | −2.25477 | − | 3.08880i | −0.148033 | − | 0.202789i | ||||
\(233\) | −2.11577 | + | 0.373067i | −0.138608 | + | 0.0244404i | −0.242522 | − | 0.970146i | \(-0.577975\pi\) |
0.103913 | + | 0.994586i | \(0.466864\pi\) | |||||||
\(234\) | 8.13007 | + | 18.4105i | 0.531479 | + | 1.20353i | ||||
\(235\) | 1.06840 | + | 0.188388i | 0.0696948 | + | 0.0122891i | ||||
\(236\) | −2.21013 | − | 3.88398i | −0.143867 | − | 0.252825i | ||||
\(237\) | 1.11017 | − | 0.525631i | 0.0721134 | − | 0.0341434i | ||||
\(238\) | −7.44879 | + | 1.28941i | −0.482833 | + | 0.0835798i | ||||
\(239\) | 6.75834 | + | 0.789937i | 0.437161 | + | 0.0510968i | 0.331827 | − | 0.943340i | \(-0.392335\pi\) |
0.105334 | + | 0.994437i | \(0.466409\pi\) | |||||||
\(240\) | −0.894231 | − | 3.42834i | −0.0577224 | − | 0.221299i | ||||
\(241\) | 1.61607 | − | 27.7468i | 0.104100 | − | 1.78733i | −0.392901 | − | 0.919581i | \(-0.628528\pi\) |
0.497001 | − | 0.867750i | \(-0.334435\pi\) | |||||||
\(242\) | −0.584080 | − | 0.0358528i | −0.0375461 | − | 0.00230470i | ||||
\(243\) | −12.5061 | − | 9.30581i | −0.802265 | − | 0.596968i | ||||
\(244\) | −14.7055 | − | 1.81217i | −0.941420 | − | 0.116012i | ||||
\(245\) | 3.25569 | + | 0.189622i | 0.207998 | + | 0.0121145i | ||||
\(246\) | −8.93233 | − | 19.0194i | −0.569504 | − | 1.21263i | ||||
\(247\) | 3.51485 | − | 30.0714i | 0.223644 | − | 1.91340i | ||||
\(248\) | −0.957925 | − | 19.6174i | −0.0608283 | − | 1.24571i | ||||
\(249\) | 6.59579 | + | 13.9308i | 0.417991 | + | 0.882828i | ||||
\(250\) | 5.89648 | − | 3.85180i | 0.372926 | − | 0.243609i | ||||
\(251\) | 4.60325 | − | 26.1063i | 0.290555 | − | 1.64782i | −0.394186 | − | 0.919031i | \(-0.628973\pi\) |
0.684741 | − | 0.728787i | \(-0.259916\pi\) | |||||||
\(252\) | −0.796772 | + | 4.66798i | −0.0501919 | + | 0.294055i | ||||
\(253\) | 2.95646 | + | 16.7669i | 0.185871 | + | 1.05413i | ||||
\(254\) | −20.1706 | − | 21.5140i | −1.26562 | − | 1.34991i | ||||
\(255\) | 5.56215 | − | 2.24756i | 0.348315 | − | 0.140748i | ||||
\(256\) | 9.23035 | + | 13.0691i | 0.576897 | + | 0.816817i | ||||
\(257\) | −8.98702 | − | 13.6641i | −0.560595 | − | 0.852343i | 0.438324 | − | 0.898817i | \(-0.355572\pi\) |
−0.998920 | + | 0.0464734i | \(0.985202\pi\) | |||||||
\(258\) | −8.09855 | − | 10.1849i | −0.504194 | − | 0.634083i | ||||
\(259\) | −1.46345 | + | 6.17478i | −0.0909344 | + | 0.383682i | ||||
\(260\) | −2.20457 | + | 4.32201i | −0.136721 | + | 0.268040i | ||||
\(261\) | −1.65016 | − | 3.70537i | −0.102142 | − | 0.229356i | ||||
\(262\) | 21.9022 | − | 6.48249i | 1.35312 | − | 0.400490i | ||||
\(263\) | −7.99794 | + | 0.934825i | −0.493174 | + | 0.0576438i | −0.359045 | − | 0.933320i | \(-0.616898\pi\) |
−0.134129 | + | 0.990964i | \(0.542824\pi\) | |||||||
\(264\) | −13.0246 | − | 9.18846i | −0.801611 | − | 0.565511i | ||||
\(265\) | 1.51262 | + | 1.60328i | 0.0929194 | + | 0.0984888i | ||||
\(266\) | 4.59616 | − | 5.44282i | 0.281809 | − | 0.333721i | ||||
\(267\) | −8.51250 | + | 2.87625i | −0.520956 | + | 0.176024i | ||||
\(268\) | 6.57368 | + | 18.4188i | 0.401551 | + | 1.12511i | ||||
\(269\) | 6.09025 | + | 3.51621i | 0.371329 | + | 0.214387i | 0.674039 | − | 0.738696i | \(-0.264558\pi\) |
−0.302710 | + | 0.953083i | \(0.597891\pi\) | |||||||
\(270\) | −0.163631 | − | 3.75440i | −0.00995827 | − | 0.228486i | ||||
\(271\) | 1.38821 | − | 0.801481i | 0.0843275 | − | 0.0486865i | −0.457243 | − | 0.889342i | \(-0.651163\pi\) |
0.541571 | + | 0.840655i | \(0.317830\pi\) | |||||||
\(272\) | −19.9365 | + | 18.3430i | −1.20883 | + | 1.11221i | ||||
\(273\) | 5.06303 | − | 4.05181i | 0.306428 | − | 0.245227i | ||||
\(274\) | 10.5920 | − | 3.81769i | 0.639886 | − | 0.230635i | ||||
\(275\) | 4.42174 | − | 14.7696i | 0.266641 | − | 0.890642i | ||||
\(276\) | 6.69914 | − | 16.8435i | 0.403241 | − | 1.01386i | ||||
\(277\) | 3.28450 | − | 7.61433i | 0.197347 | − | 0.457501i | −0.790593 | − | 0.612342i | \(-0.790227\pi\) |
0.987939 | + | 0.154842i | \(0.0494867\pi\) | |||||||
\(278\) | −6.64560 | + | 6.99992i | −0.398576 | + | 0.419827i | ||||
\(279\) | 3.37657 | − | 20.5567i | 0.202150 | − | 1.23070i | ||||
\(280\) | −0.993971 | + | 0.561497i | −0.0594011 | + | 0.0335559i | ||||
\(281\) | 16.9639 | − | 5.07866i | 1.01198 | − | 0.302967i | 0.262457 | − | 0.964944i | \(-0.415467\pi\) |
0.749525 | + | 0.661976i | \(0.230282\pi\) | |||||||
\(282\) | −5.19460 | − | 0.136920i | −0.309334 | − | 0.00815350i | ||||
\(283\) | −1.71381 | + | 0.0998182i | −0.101876 | + | 0.00593357i | −0.109007 | − | 0.994041i | \(-0.534767\pi\) |
0.00713132 | + | 0.999975i | \(0.497730\pi\) | |||||||
\(284\) | −0.284168 | + | 4.40405i | −0.0168623 | + | 0.261332i | ||||
\(285\) | −2.65382 | + | 4.99169i | −0.157199 | + | 0.295682i | ||||
\(286\) | 4.96726 | + | 21.2546i | 0.293720 | + | 1.25681i | ||||
\(287\) | −5.18643 | + | 4.35193i | −0.306145 | + | 0.256887i | ||||
\(288\) | 6.66067 | + | 15.6088i | 0.392484 | + | 0.919759i | ||||
\(289\) | −22.1163 | − | 18.5578i | −1.30096 | − | 1.09163i | ||||
\(290\) | 0.441587 | − | 0.872456i | 0.0259309 | − | 0.0512324i | ||||
\(291\) | −5.67599 | + | 1.55662i | −0.332732 | + | 0.0912504i | ||||
\(292\) | −4.09678 | + | 9.33634i | −0.239746 | + | 0.546368i | ||||
\(293\) | 13.0886 | − | 5.64589i | 0.764647 | − | 0.329836i | 0.0222106 | − | 0.999753i | \(-0.492930\pi\) |
0.742436 | + | 0.669917i | \(0.233670\pi\) | |||||||
\(294\) | −15.5574 | + | 1.40401i | −0.907325 | + | 0.0818833i | ||||
\(295\) | 0.627899 | − | 0.954673i | 0.0365577 | − | 0.0555832i | ||||
\(296\) | 7.57715 | + | 21.4421i | 0.440413 | + | 1.24630i | ||||
\(297\) | −11.4598 | − | 12.4298i | −0.664966 | − | 0.721252i | ||||
\(298\) | 21.0716 | + | 13.9537i | 1.22065 | + | 0.808314i | ||||
\(299\) | −22.1823 | + | 11.1404i | −1.28283 | + | 0.644264i | ||||
\(300\) | −12.2664 | + | 10.9075i | −0.708199 | + | 0.629746i | ||||
\(301\) | −2.50369 | + | 3.36303i | −0.144310 | + | 0.193842i | ||||
\(302\) | −16.9458 | + | 14.1291i | −0.975119 | + | 0.813037i | ||||
\(303\) | 13.8918 | + | 19.5939i | 0.798063 | + | 1.12564i | ||||
\(304\) | 3.28091 | − | 25.3180i | 0.188173 | − | 1.45208i | ||||
\(305\) | −1.29577 | − | 3.56011i | −0.0741958 | − | 0.203851i | ||||
\(306\) | −24.7603 | + | 14.5808i | −1.41545 | + | 0.833529i | ||||
\(307\) | −10.4930 | + | 28.8292i | −0.598865 | + | 1.64537i | 0.154676 | + | 0.987965i | \(0.450567\pi\) |
−0.753540 | + | 0.657402i | \(0.771655\pi\) | |||||||
\(308\) | −1.78674 | + | 4.81506i | −0.101809 | + | 0.274363i | ||||
\(309\) | −1.41864 | + | 4.36682i | −0.0807034 | + | 0.248420i | ||||
\(310\) | 4.35710 | − | 2.49743i | 0.247467 | − | 0.141845i | ||||
\(311\) | −4.26205 | − | 2.14048i | −0.241679 | − | 0.121376i | 0.323838 | − | 0.946113i | \(-0.395027\pi\) |
−0.565516 | + | 0.824737i | \(0.691323\pi\) | |||||||
\(312\) | 7.38739 | − | 22.0338i | 0.418229 | − | 1.24742i | ||||
\(313\) | −4.71653 | + | 4.99923i | −0.266594 | + | 0.282573i | −0.846817 | − | 0.531885i | \(-0.821484\pi\) |
0.580223 | + | 0.814458i | \(0.302965\pi\) | |||||||
\(314\) | 3.18384 | + | 27.9989i | 0.179674 | + | 1.58007i | ||||
\(315\) | −1.15583 | + | 0.360860i | −0.0651237 | + | 0.0203321i | ||||
\(316\) | −1.35618 | − | 0.415279i | −0.0762913 | − | 0.0233613i | ||||
\(317\) | 4.90906 | − | 3.65466i | 0.275720 | − | 0.205266i | −0.450413 | − | 0.892820i | \(-0.648723\pi\) |
0.726133 | + | 0.687554i | \(0.241316\pi\) | |||||||
\(318\) | −8.29956 | − | 6.52560i | −0.465416 | − | 0.365938i | ||||
\(319\) | −1.01451 | − | 4.28057i | −0.0568018 | − | 0.239666i | ||||
\(320\) | −1.90441 | + | 3.62088i | −0.106460 | + | 0.202413i | ||||
\(321\) | 0.0149826 | − | 0.645032i | 0.000836246 | − | 0.0360022i | ||||
\(322\) | −5.79899 | − | 0.696203i | −0.323165 | − | 0.0387979i | ||||
\(323\) | 43.2268 | 2.40520 | ||||||||
\(324\) | 3.43016 | + | 17.6701i | 0.190564 | + | 0.981675i | ||||
\(325\) | 22.4778 | 1.24685 | ||||||||
\(326\) | −16.5129 | − | 1.98247i | −0.914563 | − | 0.109799i | ||||
\(327\) | 11.4604 | + | 6.97641i | 0.633761 | + | 0.385796i | ||||
\(328\) | −7.17659 | + | 23.1774i | −0.396261 | + | 1.27976i | ||||
\(329\) | 0.386127 | + | 1.62920i | 0.0212879 | + | 0.0898205i | ||||
\(330\) | 0.579661 | − | 4.03427i | 0.0319093 | − | 0.222079i | ||||
\(331\) | 20.4247 | − | 15.2056i | 1.12264 | − | 0.835777i | 0.134745 | − | 0.990880i | \(-0.456979\pi\) |
0.987898 | + | 0.155104i | \(0.0495712\pi\) | |||||||
\(332\) | 5.21106 | − | 17.0178i | 0.285994 | − | 0.933975i | ||||
\(333\) | 3.08113 | + | 23.9235i | 0.168845 | + | 1.31100i | ||||
\(334\) | −3.40447 | − | 29.9392i | −0.186284 | − | 1.63820i | ||||
\(335\) | −3.43163 | + | 3.63731i | −0.187490 | + | 0.198728i | ||||
\(336\) | 4.31170 | − | 3.36290i | 0.235223 | − | 0.183461i | ||||
\(337\) | −18.7692 | − | 9.42624i | −1.02242 | − | 0.513480i | −0.143101 | − | 0.989708i | \(-0.545707\pi\) |
−0.879322 | + | 0.476228i | \(0.842004\pi\) | |||||||
\(338\) | −11.6592 | + | 6.68286i | −0.634174 | + | 0.363500i | ||||
\(339\) | 1.83082 | − | 0.389243i | 0.0994363 | − | 0.0211408i | ||||
\(340\) | −6.49444 | − | 2.40991i | −0.352210 | − | 0.130696i | ||||
\(341\) | 7.72745 | − | 21.2310i | 0.418465 | − | 1.14972i | ||||
\(342\) | 9.04210 | − | 25.5240i | 0.488941 | − | 1.38018i | ||||
\(343\) | 3.61100 | + | 9.92113i | 0.194975 | + | 0.535691i | ||||
\(344\) | −1.01439 | + | 14.9910i | −0.0546922 | + | 0.808258i | ||||
\(345\) | 4.61490 | − | 0.431041i | 0.248458 | − | 0.0232065i | ||||
\(346\) | −25.7021 | + | 21.4299i | −1.38175 | + | 1.15208i | ||||
\(347\) | 15.0098 | − | 20.1616i | 0.805766 | − | 1.08233i | −0.189183 | − | 0.981942i | \(-0.560584\pi\) |
0.994948 | − | 0.100389i | \(-0.0320088\pi\) | |||||||
\(348\) | −1.47497 | + | 4.44539i | −0.0790670 | + | 0.238298i | ||||
\(349\) | −7.91695 | + | 3.97604i | −0.423785 | + | 0.212833i | −0.647893 | − | 0.761732i | \(-0.724349\pi\) |
0.224108 | + | 0.974564i | \(0.428053\pi\) | |||||||
\(350\) | 4.40972 | + | 2.92012i | 0.235709 | + | 0.156087i | ||||
\(351\) | 12.5690 | − | 21.2035i | 0.670882 | − | 1.13176i | ||||
\(352\) | 3.96391 | + | 17.9735i | 0.211277 | + | 0.957990i | ||||
\(353\) | 13.3753 | − | 20.3361i | 0.711894 | − | 1.08238i | −0.280569 | − | 0.959834i | \(-0.590523\pi\) |
0.992463 | − | 0.122548i | \(-0.0391066\pi\) | |||||||
\(354\) | −2.29945 | + | 4.96663i | −0.122215 | + | 0.263974i | ||||
\(355\) | −1.03616 | + | 0.446954i | −0.0549935 | + | 0.0237219i | ||||
\(356\) | 9.50088 | + | 4.16899i | 0.503546 | + | 0.220956i | ||||
\(357\) | 6.58506 | + | 6.50827i | 0.348519 | + | 0.344454i | ||||
\(358\) | −0.920586 | + | 1.81883i | −0.0486545 | + | 0.0961279i | ||||
\(359\) | −3.73157 | − | 3.13116i | −0.196945 | − | 0.165256i | 0.538982 | − | 0.842317i | \(-0.318809\pi\) |
−0.735927 | + | 0.677061i | \(0.763253\pi\) | |||||||
\(360\) | −2.78146 | + | 3.33065i | −0.146596 | + | 0.175541i | ||||
\(361\) | −16.6501 | + | 13.9711i | −0.876323 | + | 0.735322i | ||||
\(362\) | −2.46892 | − | 10.5644i | −0.129764 | − | 0.555252i | ||||
\(363\) | 0.379820 | + | 0.607774i | 0.0199354 | + | 0.0318999i | ||||
\(364\) | −7.47235 | − | 0.482149i | −0.391658 | − | 0.0252715i | ||||
\(365\) | −2.60258 | + | 0.151583i | −0.136226 | + | 0.00793423i | ||||
\(366\) | 8.65609 | + | 15.9491i | 0.452461 | + | 0.833672i | ||||
\(367\) | −3.52672 | + | 1.05583i | −0.184093 | + | 0.0551140i | −0.377523 | − | 0.926000i | \(-0.623224\pi\) |
0.193430 | + | 0.981114i | \(0.438039\pi\) | |||||||
\(368\) | −18.8208 | + | 9.15903i | −0.981101 | + | 0.477447i | ||||
\(369\) | −12.6051 | + | 22.4365i | −0.656196 | + | 1.16800i | ||||
\(370\) | −4.00368 | + | 4.21714i | −0.208141 | + | 0.219239i | ||||
\(371\) | −1.34739 | + | 3.12359i | −0.0699528 | + | 0.162169i | ||||
\(372\) | −18.8749 | + | 14.9123i | −0.978620 | + | 0.773169i | ||||
\(373\) | 5.61961 | − | 18.7708i | 0.290973 | − | 0.971916i | −0.680098 | − | 0.733122i | \(-0.738063\pi\) |
0.971070 | − | 0.238794i | \(-0.0767522\pi\) | |||||||
\(374\) | −29.3178 | + | 10.5670i | −1.51599 | + | 0.546409i | ||||
\(375\) | −8.03506 | − | 3.13769i | −0.414929 | − | 0.162029i | ||||
\(376\) | 4.32561 | + | 4.15843i | 0.223076 | + | 0.214455i | ||||
\(377\) | 5.55449 | − | 3.20689i | 0.286071 | − | 0.165163i | ||||
\(378\) | 5.22037 | − | 2.52688i | 0.268507 | − | 0.129968i | ||||
\(379\) | 5.98874 | + | 3.45760i | 0.307621 | + | 0.177605i | 0.645861 | − | 0.763455i | \(-0.276498\pi\) |
−0.338240 | + | 0.941060i | \(0.609832\pi\) | |||||||
\(380\) | 6.14804 | − | 2.19423i | 0.315388 | − | 0.112562i | ||||
\(381\) | −7.09623 | + | 35.4147i | −0.363551 | + | 1.81435i | ||||
\(382\) | −6.26996 | + | 7.42495i | −0.320799 | + | 0.379893i | ||||
\(383\) | −24.6211 | − | 26.0969i | −1.25808 | − | 1.33349i | −0.919772 | − | 0.392454i | \(-0.871626\pi\) |
−0.338310 | − | 0.941035i | \(-0.609855\pi\) | |||||||
\(384\) | 6.46127 | − | 18.5001i | 0.329725 | − | 0.944077i | ||||
\(385\) | −1.30435 | + | 0.152457i | −0.0664758 | + | 0.00776991i | ||||
\(386\) | −9.48253 | + | 2.80659i | −0.482648 | + | 0.142851i | ||||
\(387\) | −4.39128 | + | 15.3197i | −0.223221 | + | 0.778746i | ||||
\(388\) | 6.05398 | + | 3.08801i | 0.307344 | + | 0.156770i | ||||
\(389\) | −0.390323 | + | 1.64690i | −0.0197901 | + | 0.0835012i | −0.982044 | − | 0.188653i | \(-0.939588\pi\) |
0.962254 | + | 0.272154i | \(0.0877360\pi\) | |||||||
\(390\) | 5.87709 | − | 0.877302i | 0.297598 | − | 0.0444239i | ||||
\(391\) | −19.4749 | − | 29.6101i | −0.984886 | − | 1.49745i | ||||
\(392\) | 14.3663 | + | 10.9063i | 0.725606 | + | 0.550854i | ||||
\(393\) | −22.0453 | − | 17.2220i | −1.11204 | − | 0.868735i | ||||
\(394\) | −10.3369 | − | 11.0254i | −0.520766 | − | 0.555451i | ||||
\(395\) | −0.0629763 | − | 0.357156i | −0.00316868 | − | 0.0179705i | ||||
\(396\) | 0.106849 | + | 19.5216i | 0.00536937 | + | 0.980997i | ||||
\(397\) | 2.93504 | − | 16.6454i | 0.147306 | − | 0.835411i | −0.818182 | − | 0.574960i | \(-0.805018\pi\) |
0.965487 | − | 0.260451i | \(-0.0838713\pi\) | |||||||
\(398\) | 29.5774 | − | 19.3211i | 1.48258 | − | 0.968477i | ||||
\(399\) | −8.69599 | − | 0.709431i | −0.435344 | − | 0.0355160i | ||||
\(400\) | 18.9524 | + | 0.237198i | 0.947621 | + | 0.0118599i | ||||
\(401\) | 2.56868 | − | 21.9765i | 0.128274 | − | 1.09745i | −0.763766 | − | 0.645494i | \(-0.776652\pi\) |
0.892039 | − | 0.451958i | \(-0.149274\pi\) | |||||||
\(402\) | 13.6846 | − | 19.6579i | 0.682524 | − | 0.980446i | ||||
\(403\) | 32.8847 | + | 1.91532i | 1.63811 | + | 0.0954088i | ||||
\(404\) | 3.39209 | − | 27.5263i | 0.168763 | − | 1.36949i | ||||
\(405\) | −3.62632 | + | 2.83430i | −0.180193 | + | 0.140838i | ||||
\(406\) | 1.50630 | + | 0.0924613i | 0.0747562 | + | 0.00458878i | ||||
\(407\) | −1.52110 | + | 26.1162i | −0.0753979 | + | 1.29453i | ||||
\(408\) | 32.4705 | + | 6.82390i | 1.60753 | + | 0.337833i | ||||
\(409\) | −8.57593 | − | 1.00238i | −0.424052 | − | 0.0495646i | −0.0986093 | − | 0.995126i | \(-0.531439\pi\) |
−0.325443 | + | 0.945562i | \(0.605513\pi\) | |||||||
\(410\) | −6.11309 | + | 1.05819i | −0.301904 | + | 0.0522605i | ||||
\(411\) | −11.3418 | − | 7.84289i | −0.559451 | − | 0.386861i | ||||
\(412\) | 4.60797 | − | 2.62211i | 0.227018 | − | 0.129182i | ||||
\(413\) | 1.73670 | + | 0.306226i | 0.0854572 | + | 0.0150684i | ||||
\(414\) | −21.5575 | + | 5.30548i | −1.05949 | + | 0.260750i | ||||
\(415\) | 4.48172 | − | 0.790247i | 0.219999 | − | 0.0387917i | ||||
\(416\) | −23.4463 | + | 13.0520i | −1.14955 | + | 0.639927i | ||||
\(417\) | 11.7064 | + | 1.64466i | 0.573264 | + | 0.0805391i | ||||
\(418\) | 14.7634 | − | 25.3871i | 0.722100 | − | 1.24173i | ||||
\(419\) | −19.8815 | + | 13.0763i | −0.971274 | + | 0.638817i | −0.932782 | − | 0.360442i | \(-0.882626\pi\) |
−0.0384921 | + | 0.999259i | \(0.512255\pi\) | |||||||
\(420\) | 1.26694 | + | 0.591390i | 0.0618205 | + | 0.0288569i | ||||
\(421\) | −29.4141 | − | 6.97127i | −1.43355 | − | 0.339759i | −0.560814 | − | 0.827942i | \(-0.689512\pi\) |
−0.872741 | + | 0.488183i | \(0.837660\pi\) | |||||||
\(422\) | −4.86899 | + | 11.1912i | −0.237019 | + | 0.544779i | ||||
\(423\) | 3.55935 | + | 5.27587i | 0.173062 | + | 0.256522i | ||||
\(424\) | 2.00417 | + | 12.0252i | 0.0973312 | + | 0.583994i | ||||
\(425\) | 3.72574 | + | 31.8757i | 0.180725 | + | 1.54620i | ||||
\(426\) | 4.59255 | − | 2.85011i | 0.222510 | − | 0.138088i | ||||
\(427\) | 4.25297 | − | 4.01247i | 0.205816 | − | 0.194177i | ||||
\(428\) | −0.514645 | + | 0.538698i | −0.0248763 | + | 0.0260390i | ||||
\(429\) | 17.6545 | − | 20.0741i | 0.852368 | − | 0.969185i | ||||
\(430\) | −3.53245 | + | 1.51066i | −0.170350 | + | 0.0728505i | ||||
\(431\) | 4.67777 | − | 8.10214i | 0.225320 | − | 0.390266i | −0.731095 | − | 0.682275i | \(-0.760990\pi\) |
0.956415 | + | 0.292009i | \(0.0943238\pi\) | |||||||
\(432\) | 10.8214 | − | 17.7453i | 0.520645 | − | 0.853773i | ||||
\(433\) | −5.79428 | − | 10.0360i | −0.278456 | − | 0.482299i | 0.692546 | − | 0.721374i | \(-0.256489\pi\) |
−0.971001 | + | 0.239075i | \(0.923156\pi\) | |||||||
\(434\) | 6.20253 | + | 4.64785i | 0.297731 | + | 0.223104i | ||||
\(435\) | −1.18393 | + | 0.180519i | −0.0567649 | + | 0.00865522i | ||||
\(436\) | −4.35031 | − | 14.8691i | −0.208342 | − | 0.712099i | ||||
\(437\) | 31.9946 | + | 9.57856i | 1.53051 | + | 0.458205i | ||||
\(438\) | 12.2221 | − | 2.55856i | 0.583995 | − | 0.122253i | ||||
\(439\) | 1.97438 | + | 0.851662i | 0.0942318 | + | 0.0406476i | 0.442674 | − | 0.896683i | \(-0.354030\pi\) |
−0.348442 | + | 0.937330i | \(0.613289\pi\) | |||||||
\(440\) | −3.63340 | + | 2.99112i | −0.173216 | + | 0.142596i | ||||
\(441\) | 12.4684 | + | 14.5101i | 0.593734 | + | 0.690959i | ||||
\(442\) | −27.0183 | − | 36.5299i | −1.28513 | − | 1.73755i | ||||
\(443\) | 1.52629 | + | 5.09815i | 0.0725160 | + | 0.242220i | 0.986561 | − | 0.163392i | \(-0.0522435\pi\) |
−0.914045 | + | 0.405612i | \(0.867058\pi\) | |||||||
\(444\) | 15.9845 | − | 22.8092i | 0.758593 | − | 1.08248i | ||||
\(445\) | 0.154255 | + | 2.64845i | 0.00731238 | + | 0.125549i | ||||
\(446\) | 9.50655 | + | 0.0297432i | 0.450148 | + | 0.00140838i | ||||
\(447\) | −1.08171 | − | 30.9339i | −0.0511631 | − | 1.46312i | ||||
\(448\) | −6.29530 | − | 0.485381i | −0.297425 | − | 0.0229321i | ||||
\(449\) | 19.6165 | + | 23.3780i | 0.925759 | + | 1.10328i | 0.994405 | + | 0.105635i | \(0.0336876\pi\) |
−0.0686463 | + | 0.997641i | \(0.521868\pi\) | |||||||
\(450\) | 19.6009 | + | 4.46778i | 0.923996 | + | 0.210613i | ||||
\(451\) | −17.9407 | + | 21.3809i | −0.844793 | + | 1.00679i | ||||
\(452\) | −1.86494 | − | 1.09234i | −0.0877193 | − | 0.0513793i | ||||
\(453\) | 26.1418 | + | 6.84058i | 1.22825 | + | 0.321398i | ||||
\(454\) | −10.3014 | + | 28.0297i | −0.483469 | + | 1.31550i | ||||
\(455\) | −0.758348 | − | 1.75805i | −0.0355519 | − | 0.0824186i | ||||
\(456\) | −27.5736 | + | 14.7425i | −1.29125 | + | 0.690380i | ||||
\(457\) | 15.1074 | + | 9.93627i | 0.706692 | + | 0.464799i | 0.851293 | − | 0.524691i | \(-0.175819\pi\) |
−0.144600 | + | 0.989490i | \(0.546190\pi\) | |||||||
\(458\) | −8.48016 | − | 17.0179i | −0.396252 | − | 0.795196i | ||||
\(459\) | 32.1520 | + | 14.3095i | 1.50073 | + | 0.667909i | ||||
\(460\) | −4.27290 | − | 3.22280i | −0.199225 | − | 0.150264i | ||||
\(461\) | −15.6763 | − | 31.2140i | −0.730117 | − | 1.45378i | −0.884875 | − | 0.465829i | \(-0.845756\pi\) |
0.154758 | − | 0.987952i | \(-0.450540\pi\) | |||||||
\(462\) | 6.07132 | − | 1.64463i | 0.282464 | − | 0.0765150i | ||||
\(463\) | −2.34497 | − | 1.74576i | −0.108980 | − | 0.0811325i | 0.541289 | − | 0.840836i | \(-0.317936\pi\) |
−0.650269 | + | 0.759704i | \(0.725344\pi\) | |||||||
\(464\) | 4.71717 | − | 2.64531i | 0.218989 | − | 0.122805i | ||||
\(465\) | −5.58966 | − | 2.56670i | −0.259214 | − | 0.119028i | ||||
\(466\) | −0.167171 | − | 3.03370i | −0.00774404 | − | 0.140533i | ||||
\(467\) | −1.20039 | + | 0.436907i | −0.0555476 | + | 0.0202177i | −0.369644 | − | 0.929173i | \(-0.620521\pi\) |
0.314097 | + | 0.949391i | \(0.398298\pi\) | |||||||
\(468\) | −27.2213 | + | 8.31214i | −1.25831 | + | 0.384229i | ||||
\(469\) | −7.25214 | − | 2.63956i | −0.334873 | − | 0.121884i | ||||
\(470\) | −0.444626 | + | 1.46842i | −0.0205091 | + | 0.0677331i | ||||
\(471\) | 25.6467 | − | 23.0946i | 1.18174 | − | 1.06414i | ||||
\(472\) | 5.82618 | − | 2.44857i | 0.268172 | − | 0.112705i | ||||
\(473\) | −7.75709 | + | 15.4456i | −0.356671 | + | 0.710191i | ||||
\(474\) | 0.550908 | + | 1.64743i | 0.0253040 | + | 0.0756691i | ||||
\(475\) | −21.9979 | − | 20.7539i | −1.00933 | − | 0.952256i | ||||
\(476\) | −0.554822 | − | 10.6764i | −0.0254302 | − | 0.489354i | ||||
\(477\) | −0.600369 | + | 12.9166i | −0.0274890 | + | 0.591411i | ||||
\(478\) | −2.24846 | + | 9.35643i | −0.102842 | + | 0.427953i | ||||
\(479\) | −0.984389 | − | 1.32226i | −0.0449779 | − | 0.0604158i | 0.779065 | − | 0.626943i | \(-0.215694\pi\) |
−0.824043 | + | 0.566527i | \(0.808287\pi\) | |||||||
\(480\) | 4.96458 | − | 0.677688i | 0.226601 | − | 0.0309321i | ||||
\(481\) | −37.1128 | + | 8.79589i | −1.69220 | + | 0.401058i | ||||
\(482\) | 38.6878 | + | 6.94657i | 1.76218 | + | 0.316408i | ||||
\(483\) | 3.43183 | + | 6.27631i | 0.156153 | + | 0.285582i | ||||
\(484\) | 0.148803 | − | 0.814081i | 0.00676376 | − | 0.0370037i | ||||
\(485\) | 1.73774i | 0.0789066i | ||||||||
\(486\) | 15.1748 | − | 15.9914i | 0.688341 | − | 0.725387i | ||||
\(487\) | − | 34.1862i | − | 1.54913i | −0.632497 | − | 0.774563i | \(-0.717970\pi\) | ||
0.632497 | − | 0.774563i | \(-0.282030\pi\) | |||||||
\(488\) | 5.02347 | − | 20.3429i | 0.227402 | − | 0.920879i | ||||
\(489\) | 9.77226 | + | 17.8720i | 0.441917 | + | 0.808202i | ||||
\(490\) | −0.815080 | + | 4.53945i | −0.0368216 | + | 0.205071i | ||||
\(491\) | −2.97643 | + | 0.705427i | −0.134324 | + | 0.0318355i | −0.297228 | − | 0.954807i | \(-0.596062\pi\) |
0.162904 | + | 0.986642i | \(0.447914\pi\) | |||||||
\(492\) | 28.2114 | − | 9.33598i | 1.27187 | − | 0.420898i | ||||
\(493\) | 5.46834 | + | 7.34526i | 0.246282 | + | 0.330814i | ||||
\(494\) | 41.6317 | + | 10.0046i | 1.87310 | + | 0.450127i | ||||
\(495\) | −4.43415 | + | 2.29244i | −0.199300 | + | 0.103038i | ||||
\(496\) | 27.7069 | + | 1.96194i | 1.24408 | + | 0.0880936i | ||||
\(497\) | −1.26676 | − | 1.19513i | −0.0568221 | − | 0.0536089i | ||||
\(498\) | −20.6725 | + | 6.91298i | −0.926358 | + | 0.309778i | ||||
\(499\) | −13.5834 | + | 27.0468i | −0.608077 | + | 1.21078i | 0.353290 | + | 0.935514i | \(0.385063\pi\) |
−0.961368 | + | 0.275268i | \(0.911234\pi\) | |||||||
\(500\) | 4.41444 | + | 8.92875i | 0.197420 | + | 0.399306i | ||||
\(501\) | −27.4240 | + | 24.6950i | −1.22521 | + | 1.10329i | ||||
\(502\) | 35.8807 | + | 10.8644i | 1.60144 | + | 0.484903i | ||||
\(503\) | −7.60532 | − | 2.76811i | −0.339105 | − | 0.123424i | 0.166854 | − | 0.985982i | \(-0.446639\pi\) |
−0.505959 | + | 0.862558i | \(0.668861\pi\) | |||||||
\(504\) | −6.42014 | − | 1.90567i | −0.285976 | − | 0.0848854i | ||||
\(505\) | 6.66398 | − | 2.42549i | 0.296543 | − | 0.107933i | ||||
\(506\) | −24.0413 | + | 1.32479i | −1.06877 | + | 0.0588940i | ||||
\(507\) | 14.9574 | + | 6.86821i | 0.664279 | + | 0.305028i | ||||
\(508\) | 33.6087 | − | 24.6954i | 1.49115 | − | 1.09568i | ||||
\(509\) | 25.9160 | + | 19.2937i | 1.14871 | + | 0.855179i | 0.991204 | − | 0.132340i | \(-0.0422489\pi\) |
0.157501 | + | 0.987519i | \(0.449656\pi\) | |||||||
\(510\) | 2.21824 | + | 8.18886i | 0.0982251 | + | 0.362609i | ||||
\(511\) | −1.80572 | − | 3.59548i | −0.0798803 | − | 0.159055i | ||||
\(512\) | −19.9067 | + | 10.7575i | −0.879759 | + | 0.475419i | ||||
\(513\) | −31.8780 | + | 9.14579i | −1.40745 | + | 0.403796i | ||||
\(514\) | 20.7012 | − | 10.3155i | 0.913089 | − | 0.454999i | ||||
\(515\) | 1.13263 | + | 0.744942i | 0.0499096 | + | 0.0328261i | ||||
\(516\) | 15.6661 | − | 9.65452i | 0.689662 | − | 0.425017i | ||||
\(517\) | 2.73388 | + | 6.33785i | 0.120236 | + | 0.278738i | ||||
\(518\) | −8.42350 | − | 3.09578i | −0.370108 | − | 0.136021i | ||||
\(519\) | 39.6498 | + | 10.3753i | 1.74043 | + | 0.455424i | ||||
\(520\) | −5.69703 | − | 3.82408i | −0.249831 | − | 0.167697i | ||||
\(521\) | 23.1665 | − | 27.6088i | 1.01494 | − | 1.20956i | 0.0372972 | − | 0.999304i | \(-0.488125\pi\) |
0.977646 | − | 0.210258i | \(-0.0674304\pi\) | |||||||
\(522\) | 5.48099 | − | 1.69241i | 0.239896 | − | 0.0740747i | ||||
\(523\) | −25.4367 | − | 30.3142i | −1.11227 | − | 1.32555i | −0.940261 | − | 0.340453i | \(-0.889419\pi\) |
−0.172007 | − | 0.985096i | \(-0.555025\pi\) | |||||||
\(524\) | 5.41012 | + | 31.8463i | 0.236342 | + | 1.39121i | ||||
\(525\) | −0.226373 | − | 6.47363i | −0.00987971 | − | 0.282532i | ||||
\(526\) | 0.0356289 | − | 11.3877i | 0.00155349 | − | 0.496529i | ||||
\(527\) | 2.73460 | + | 46.9512i | 0.119121 | + | 2.04523i | ||||
\(528\) | 15.0974 | − | 16.7394i | 0.657031 | − | 0.728487i | ||||
\(529\) | −1.25673 | − | 4.19776i | −0.0546403 | − | 0.182511i | ||||
\(530\) | −2.50620 | + | 1.85364i | −0.108863 | + | 0.0805170i | ||||
\(531\) | 6.58722 | − | 1.24135i | 0.285861 | − | 0.0538699i | ||||
\(532\) | 6.86764 | + | 7.37113i | 0.297750 | + | 0.319579i | ||||
\(533\) | −37.3647 | − | 16.1176i | −1.61845 | − | 0.698129i | ||||
\(534\) | −2.60365 | − | 12.4375i | −0.112671 | − | 0.538224i | ||||
\(535\) | −0.182497 | − | 0.0546359i | −0.00789002 | − | 0.00236212i | ||||
\(536\) | −26.9706 | + | 6.12536i | −1.16495 | + | 0.264575i | ||||
\(537\) | 2.46815 | − | 0.376331i | 0.106509 | − | 0.0162399i | ||||
\(538\) | −5.96387 | + | 7.95876i | −0.257121 | + | 0.343127i | ||||
\(539\) | 10.3744 | + | 17.9690i | 0.446857 | + | 0.773979i | ||||
\(540\) | 5.29926 | + | 0.403136i | 0.228044 | + | 0.0173482i | ||||
\(541\) | 13.1361 | − | 22.7523i | 0.564764 | − | 0.978199i | −0.432308 | − | 0.901726i | \(-0.642301\pi\) |
0.997072 | − | 0.0764733i | \(-0.0243660\pi\) | |||||||
\(542\) | 0.891368 | + | 2.08433i | 0.0382875 | + | 0.0895297i | ||||
\(543\) | −8.77498 | + | 9.97760i | −0.376570 | + | 0.428180i | ||||
\(544\) | −22.3952 | − | 31.0857i | −0.960188 | − | 1.33279i | ||||
\(545\) | 2.88139 | − | 2.71845i | 0.123425 | − | 0.116446i | ||||
\(546\) | 4.83578 | + | 7.79218i | 0.206952 | + | 0.333475i | ||||
\(547\) | 1.68059 | + | 14.3784i | 0.0718570 | + | 0.614776i | 0.980405 | + | 0.196994i | \(0.0631181\pi\) |
−0.908548 | + | 0.417781i | \(0.862808\pi\) | |||||||
\(548\) | 3.57499 | + | 15.5161i | 0.152716 | + | 0.662816i | ||||
\(549\) | 9.74091 | − | 19.9767i | 0.415732 | − | 0.852583i | ||||
\(550\) | 19.9931 | + | 8.69848i | 0.852509 | + | 0.370904i | ||||
\(551\) | −8.39684 | − | 1.99009i | −0.357717 | − | 0.0847806i | ||||
\(552\) | 22.5212 | + | 12.2458i | 0.958565 | + | 0.521218i | ||||
\(553\) | 0.467632 | − | 0.307567i | 0.0198857 | − | 0.0130791i | ||||
\(554\) | 10.1378 | + | 5.89545i | 0.430715 | + | 0.250474i | ||||
\(555\) | 7.05257 | + | 0.990832i | 0.299365 | + | 0.0420585i | ||||
\(556\) | −8.70852 | − | 10.5113i | −0.369324 | − | 0.445778i | ||||
\(557\) | 34.7479 | − | 6.12700i | 1.47232 | − | 0.259609i | 0.620814 | − | 0.783958i | \(-0.286802\pi\) |
0.851504 | + | 0.524349i | \(0.175691\pi\) | |||||||
\(558\) | 28.2952 | + | 8.20648i | 1.19783 | + | 0.347408i | ||||
\(559\) | −24.8167 | − | 4.37585i | −1.04963 | − | 0.185079i | ||||
\(560\) | −0.620857 | − | 1.49032i | −0.0262360 | − | 0.0629775i | ||||
\(561\) | 31.3932 | + | 21.7085i | 1.32542 | + | 0.916533i | ||||
\(562\) | 4.27143 | + | 24.6757i | 0.180179 | + | 1.04088i | ||||
\(563\) | −17.4589 | − | 2.04065i | −0.735803 | − | 0.0860031i | −0.260066 | − | 0.965591i | \(-0.583744\pi\) |
−0.475737 | + | 0.879588i | \(0.657819\pi\) | |||||||
\(564\) | 1.06793 | − | 7.27081i | 0.0449679 | − | 0.306156i | ||||
\(565\) | 0.0321330 | − | 0.551703i | 0.00135185 | − | 0.0232103i | ||||
\(566\) | 0.148747 | − | 2.42324i | 0.00625228 | − | 0.101856i | ||||
\(567\) | −6.23321 | − | 3.40633i | −0.261770 | − | 0.143052i | ||||
\(568\) | −6.13596 | − | 1.14142i | −0.257459 | − | 0.0478928i | ||||
\(569\) | 23.2721 | + | 1.35545i | 0.975618 | + | 0.0568233i | 0.538540 | − | 0.842600i | \(-0.318976\pi\) |
0.437079 | + | 0.899423i | \(0.356013\pi\) | |||||||
\(570\) | −6.56162 | − | 4.56779i | −0.274836 | − | 0.191324i | ||||
\(571\) | 0.273121 | − | 2.33670i | 0.0114298 | − | 0.0977879i | −0.986319 | − | 0.164846i | \(-0.947287\pi\) |
0.997749 | + | 0.0670582i | \(0.0213613\pi\) | |||||||
\(572\) | −30.6816 | + | 3.39170i | −1.28286 | + | 0.141814i | ||||
\(573\) | 11.8628 | + | 0.967786i | 0.495577 | + | 0.0404298i | ||||
\(574\) | −5.23639 | − | 8.01605i | −0.218563 | − | 0.334584i | ||||
\(575\) | −4.30566 | + | 24.4186i | −0.179559 | + | 1.01833i | ||||
\(576\) | −23.0396 | + | 6.72121i | −0.959985 | + | 0.280051i | ||||
\(577\) | 1.70380 | + | 9.66272i | 0.0709300 | + | 0.402264i | 0.999515 | + | 0.0311441i | \(0.00991508\pi\) |
−0.928585 | + | 0.371120i | \(0.878974\pi\) | |||||||
\(578\) | 29.7858 | − | 27.9258i | 1.23893 | − | 1.16156i | ||||
\(579\) | 9.54449 | + | 7.45624i | 0.396656 | + | 0.309871i | ||||
\(580\) | 1.15060 | + | 0.767119i | 0.0477761 | + | 0.0318529i | ||||
\(581\) | 3.85945 | + | 5.86801i | 0.160117 | + | 0.243446i | ||||
\(582\) | −1.22887 | − | 8.23223i | −0.0509381 | − | 0.341237i | ||||
\(583\) | −3.23411 | + | 13.6458i | −0.133943 | + | 0.565151i | ||||
\(584\) | −12.4188 | − | 7.32628i | −0.513895 | − | 0.303164i | ||||
\(585\) | −5.05600 | − | 5.23465i | −0.209040 | − | 0.216426i | ||||
\(586\) | 5.72116 | + | 19.3299i | 0.236339 | + | 0.798511i | ||||
\(587\) | 19.9888 | − | 2.33636i | 0.825027 | − | 0.0964318i | 0.306907 | − | 0.951740i | \(-0.400706\pi\) |
0.518120 | + | 0.855308i | \(0.326632\pi\) | |||||||
\(588\) | 0.651164 | − | 22.0813i | 0.0268535 | − | 0.910617i | ||||
\(589\) | −30.4142 | − | 32.2371i | −1.25319 | − | 1.32831i | ||||
\(590\) | 1.23464 | + | 1.04258i | 0.0508293 | + | 0.0429225i | ||||
\(591\) | −3.63664 | + | 18.1491i | −0.149591 | + | 0.746555i | ||||
\(592\) | −31.3849 | + | 7.02472i | −1.28991 | + | 0.288714i | ||||
\(593\) | −12.8881 | − | 7.44096i | −0.529251 | − | 0.305563i | 0.211460 | − | 0.977387i | \(-0.432178\pi\) |
−0.740712 | + | 0.671823i | \(0.765511\pi\) | |||||||
\(594\) | 19.3849 | − | 13.9957i | 0.795373 | − | 0.574252i | ||||
\(595\) | 2.36738 | − | 1.36681i | 0.0970533 | − | 0.0560338i | ||||
\(596\) | −23.1449 | + | 27.2351i | −0.948052 | + | 1.11559i | ||||
\(597\) | −40.3048 | − | 15.7390i | −1.64956 | − | 0.644153i | ||||
\(598\) | −11.9032 | − | 33.0248i | −0.486756 | − | 1.35048i | ||||
\(599\) | −8.66774 | + | 28.9523i | −0.354154 | + | 1.18296i | 0.576512 | + | 0.817089i | \(0.304413\pi\) |
−0.930666 | + | 0.365869i | \(0.880772\pi\) | |||||||
\(600\) | −13.2478 | − | 19.0623i | −0.540839 | − | 0.778215i | ||||
\(601\) | −16.3208 | + | 37.8360i | −0.665741 | + | 1.54336i | 0.164754 | + | 0.986335i | \(0.447317\pi\) |
−0.830495 | + | 0.557026i | \(0.811942\pi\) | |||||||
\(602\) | −4.30008 | − | 4.08242i | −0.175258 | − | 0.166387i | ||||
\(603\) | −29.3331 | + | 0.344114i | −1.19454 | + | 0.0140134i | ||||
\(604\) | −16.9825 | − | 26.1759i | −0.691006 | − | 1.06508i | ||||
\(605\) | 0.202717 | − | 0.0606896i | 0.00824164 | − | 0.00246738i | ||||
\(606\) | −29.8542 | + | 16.2029i | −1.21275 | + | 0.658197i | ||||
\(607\) | 32.9772 | − | 1.92070i | 1.33850 | − | 0.0779589i | 0.626107 | − | 0.779737i | \(-0.284647\pi\) |
0.712395 | + | 0.701779i | \(0.247610\pi\) | |||||||
\(608\) | 34.9966 | + | 8.87478i | 1.41930 | + | 0.359920i | ||||
\(609\) | −0.979525 | − | 1.56740i | −0.0396923 | − | 0.0635143i | ||||
\(610\) | 5.21729 | − | 1.21929i | 0.211242 | − | 0.0493677i | ||||
\(611\) | −7.70897 | + | 6.46860i | −0.311872 | + | 0.261691i | ||||
\(612\) | −16.2994 | − | 37.2247i | −0.658864 | − | 1.50472i | ||||
\(613\) | 15.5650 | + | 13.0606i | 0.628665 | + | 0.527512i | 0.900514 | − | 0.434828i | \(-0.143191\pi\) |
−0.271849 | + | 0.962340i | \(0.587635\pi\) | |||||||
\(614\) | −38.7111 | − | 19.5933i | −1.56225 | − | 0.790722i | ||||
\(615\) | 5.40425 | + | 5.34122i | 0.217920 | + | 0.215379i | ||||
\(616\) | −6.45977 | − | 3.32050i | −0.260272 | − | 0.133787i | ||||
\(617\) | 2.78185 | − | 1.19997i | 0.111993 | − | 0.0483091i | −0.339346 | − | 0.940662i | \(-0.610206\pi\) |
0.451339 | + | 0.892353i | \(0.350946\pi\) | |||||||
\(618\) | −5.89244 | − | 2.72808i | −0.237029 | − | 0.109740i | ||||
\(619\) | −18.6347 | + | 28.3327i | −0.748991 | + | 1.13879i | 0.236922 | + | 0.971529i | \(0.423861\pi\) |
−0.985913 | + | 0.167257i | \(0.946509\pi\) | |||||||
\(620\) | 2.77222 | + | 6.53894i | 0.111335 | + | 0.262610i | ||||
\(621\) | 20.6267 | + | 17.7158i | 0.827721 | + | 0.710910i | ||||
\(622\) | 3.72399 | − | 5.62364i | 0.149318 | − | 0.225488i | ||||
\(623\) | −3.65885 | + | 1.83754i | −0.146589 | + | 0.0736196i | ||||
\(624\) | 29.6930 | + | 14.0872i | 1.18867 | + | 0.563939i | ||||
\(625\) | 12.6272 | − | 16.9613i | 0.505089 | − | 0.678453i | ||||
\(626\) | −6.22448 | − | 7.46536i | −0.248780 | − | 0.298376i | ||||
\(627\) | −35.8121 | + | 3.34492i | −1.43020 | + | 0.133583i | ||||
\(628\) | −39.8509 | − | 0.249366i | −1.59022 | − | 0.00995077i | ||||
\(629\) | −18.6249 | − | 51.1716i | −0.742625 | − | 2.04035i | ||||
\(630\) | −0.311851 | − | 1.68377i | −0.0124244 | − | 0.0670830i | ||||
\(631\) | 4.44545 | − | 12.2138i | 0.176970 | − | 0.486222i | −0.819215 | − | 0.573487i | \(-0.805590\pi\) |
0.996185 | + | 0.0872647i | \(0.0278126\pi\) | |||||||
\(632\) | 0.811723 | − | 1.83425i | 0.0322886 | − | 0.0729627i | ||||
\(633\) | 14.6206 | − | 3.10843i | 0.581117 | − | 0.123549i | ||||
\(634\) | 4.30408 | + | 7.50904i | 0.170937 | + | 0.298222i | ||||
\(635\) | 9.52986 | + | 4.78607i | 0.378181 | + | 0.189930i | ||||
\(636\) | 10.5619 | − | 10.5536i | 0.418806 | − | 0.418478i | ||||
\(637\) | −20.7594 | + | 22.0037i | −0.822518 | + | 0.871818i | ||||
\(638\) | 6.18150 | − | 0.702916i | 0.244728 | − | 0.0278287i | ||||
\(639\) | −6.10876 | − | 2.55049i | −0.241659 | − | 0.100896i | ||||
\(640\) | −4.76316 | − | 3.28443i | −0.188280 | − | 0.129828i | ||||
\(641\) | 0.888014 | − | 0.661102i | 0.0350744 | − | 0.0261120i | −0.579479 | − | 0.814987i | \(-0.696744\pi\) |
0.614553 | + | 0.788875i | \(0.289336\pi\) | |||||||
\(642\) | 0.903184 | + | 0.129773i | 0.0356458 | + | 0.00512174i | ||||
\(643\) | 0.684309 | + | 2.88733i | 0.0269865 | + | 0.113865i | 0.984871 | − | 0.173288i | \(-0.0554392\pi\) |
−0.957885 | + | 0.287153i | \(0.907291\pi\) | |||||||
\(644\) | 1.95512 | − | 8.02518i | 0.0770425 | − | 0.316237i | ||||
\(645\) | 4.01923 | + | 2.44667i | 0.158257 | + | 0.0963377i | ||||
\(646\) | −7.28692 | + | 60.6961i | −0.286700 | + | 2.38805i | ||||
\(647\) | −36.4179 | −1.43174 | −0.715868 | − | 0.698236i | \(-0.753969\pi\) | ||||
−0.715868 | + | 0.698236i | \(0.753969\pi\) | |||||||
\(648\) | −25.3894 | + | 1.83766i | −0.997391 | + | 0.0721901i | ||||
\(649\) | 7.26991 | 0.285369 | ||||||||
\(650\) | −3.78918 | + | 31.5618i | −0.148624 | + | 1.23796i | ||||
\(651\) | 0.220433 | − | 9.49011i | 0.00863945 | − | 0.371947i | ||||
\(652\) | 5.56728 | − | 22.8520i | 0.218032 | − | 0.894954i | ||||
\(653\) | 4.85572 | + | 20.4879i | 0.190019 | + | 0.801754i | 0.981640 | + | 0.190742i | \(0.0610892\pi\) |
−0.791621 | + | 0.611012i | \(0.790763\pi\) | |||||||
\(654\) | −11.7277 | + | 14.9158i | −0.458590 | + | 0.583255i | ||||
\(655\) | −6.62529 | + | 4.93235i | −0.258872 | + | 0.192723i | ||||
\(656\) | −31.3344 | − | 13.9840i | −1.22340 | − | 0.545983i | ||||
\(657\) | −11.2464 | − | 10.3638i | −0.438764 | − | 0.404330i | ||||
\(658\) | −2.35270 | + | 0.267532i | −0.0917176 | + | 0.0104295i | ||||
\(659\) | 10.6224 | − | 11.2591i | 0.413789 | − | 0.438591i | −0.486634 | − | 0.873606i | \(-0.661775\pi\) |
0.900423 | + | 0.435015i | \(0.143257\pi\) | |||||||
\(660\) | 5.56692 | + | 1.49399i | 0.216692 | + | 0.0581536i | ||||
\(661\) | −11.3709 | − | 5.71066i | −0.442275 | − | 0.222119i | 0.213703 | − | 0.976899i | \(-0.431447\pi\) |
−0.655978 | + | 0.754780i | \(0.727744\pi\) | |||||||
\(662\) | 17.9076 | + | 31.2422i | 0.695999 | + | 1.21426i | ||||
\(663\) | −17.1935 | + | 52.9246i | −0.667739 | + | 2.05542i | ||||
\(664\) | 23.0168 | + | 10.1858i | 0.893226 | + | 0.395285i | ||||
\(665\) | −0.881063 | + | 2.42070i | −0.0341661 | + | 0.0938707i | ||||
\(666\) | −34.1111 | + | 0.293431i | −1.32178 | + | 0.0113702i | ||||
\(667\) | 2.41981 | + | 6.64837i | 0.0936954 | + | 0.257426i | ||||
\(668\) | 42.6124 | + | 0.266646i | 1.64872 | + | 0.0103168i | ||||
\(669\) | −6.73407 | − | 9.49818i | −0.260354 | − | 0.367221i | ||||
\(670\) | −4.52878 | − | 5.43161i | −0.174962 | − | 0.209841i | ||||
\(671\) | 14.3940 | − | 19.3345i | 0.555674 | − | 0.746399i | ||||
\(672\) | 3.99511 | + | 6.62109i | 0.154115 | + | 0.255414i | ||||
\(673\) | 39.8641 | − | 20.0205i | 1.53665 | − | 0.771733i | 0.539134 | − | 0.842220i | \(-0.318751\pi\) |
0.997513 | + | 0.0704865i | \(0.0224552\pi\) | |||||||
\(674\) | 16.3997 | − | 24.7654i | 0.631692 | − | 0.953926i | ||||
\(675\) | −9.49174 | − | 22.7188i | −0.365337 | − | 0.874445i | ||||
\(676\) | −7.41818 | − | 17.4975i | −0.285315 | − | 0.672982i | ||||
\(677\) | −21.7824 | + | 33.1186i | −0.837167 | + | 1.27285i | 0.122714 | + | 0.992442i | \(0.460840\pi\) |
−0.959881 | + | 0.280409i | \(0.909530\pi\) | |||||||
\(678\) | 0.237920 | + | 2.63632i | 0.00913726 | + | 0.101247i | ||||
\(679\) | −2.46256 | + | 1.06224i | −0.0945043 | + | 0.0407652i | ||||
\(680\) | 4.47862 | − | 8.71279i | 0.171747 | − | 0.334120i | ||||
\(681\) | 35.2719 | − | 9.67316i | 1.35162 | − | 0.370676i | ||||
\(682\) | 28.5084 | + | 14.4293i | 1.09164 | + | 0.552528i | ||||
\(683\) | −30.3713 | − | 25.4845i | −1.16213 | − | 0.975139i | −0.162193 | − | 0.986759i | \(-0.551857\pi\) |
−0.999932 | + | 0.0116198i | \(0.996301\pi\) | |||||||
\(684\) | 34.3148 | + | 16.9990i | 1.31206 | + | 0.649972i | ||||
\(685\) | −3.11886 | + | 2.61703i | −0.119165 | + | 0.0999916i | ||||
\(686\) | −14.5393 | + | 3.39786i | −0.555112 | + | 0.129731i | ||||
\(687\) | −10.9316 | + | 20.5617i | −0.417067 | + | 0.784479i | ||||
\(688\) | −20.8783 | − | 3.95142i | −0.795976 | − | 0.150647i | ||||
\(689\) | −20.4116 | + | 1.18884i | −0.777619 | + | 0.0452911i | ||||
\(690\) | −0.172715 | + | 6.55258i | −0.00657513 | + | 0.249453i | ||||
\(691\) | −0.950536 | + | 0.284572i | −0.0361601 | + | 0.0108256i | −0.304832 | − | 0.952406i | \(-0.598600\pi\) |
0.268672 | + | 0.963232i | \(0.413415\pi\) | |||||||
\(692\) | −25.7577 | − | 39.7016i | −0.979161 | − | 1.50923i | ||||
\(693\) | −5.95914 | − | 4.88234i | −0.226369 | − | 0.185465i | ||||
\(694\) | 25.7793 | + | 24.4744i | 0.978567 | + | 0.929035i | ||||
\(695\) | 1.38244 | − | 3.20485i | 0.0524388 | − | 0.121567i | ||||
\(696\) | −5.99326 | − | 2.82043i | −0.227174 | − | 0.106908i | ||||
\(697\) | 16.6630 | − | 55.6583i | 0.631156 | − | 2.10821i | ||||
\(698\) | −4.24829 | − | 11.7867i | −0.160800 | − | 0.446133i | ||||
\(699\) | −2.90534 | + | 2.32507i | −0.109890 | + | 0.0879422i | ||||
\(700\) | −4.84360 | + | 5.69956i | −0.183071 | + | 0.215423i | ||||
\(701\) | −25.8240 | + | 14.9095i | −0.975358 | + | 0.563123i | −0.900866 | − | 0.434098i | \(-0.857067\pi\) |
−0.0744926 | + | 0.997222i | \(0.523734\pi\) | |||||||
\(702\) | 27.6537 | + | 21.2228i | 1.04372 | + | 0.801004i | ||||
\(703\) | 44.4417 | + | 25.6584i | 1.67615 | + | 0.967726i | ||||
\(704\) | −25.9053 | + | 2.53598i | −0.976344 | + | 0.0955783i | ||||
\(705\) | 1.78020 | − | 0.601504i | 0.0670462 | − | 0.0226540i | ||||
\(706\) | 26.2998 | + | 22.2088i | 0.989807 | + | 0.835838i | ||||
\(707\) | 7.51073 | + | 7.96091i | 0.282470 | + | 0.299401i | ||||
\(708\) | −6.58617 | − | 4.06598i | −0.247524 | − | 0.152809i | ||||
\(709\) | −17.8786 | + | 2.08971i | −0.671445 | + | 0.0784807i | −0.444983 | − | 0.895539i | \(-0.646790\pi\) |
−0.226463 | + | 0.974020i | \(0.572716\pi\) | |||||||
\(710\) | −0.452913 | − | 1.53024i | −0.0169975 | − | 0.0574291i | ||||
\(711\) | 1.25036 | − | 1.72131i | 0.0468920 | − | 0.0645542i | ||||
\(712\) | −7.45540 | + | 12.6377i | −0.279403 | + | 0.473618i | ||||
\(713\) | −8.37982 | + | 35.3572i | −0.313827 | + | 1.32414i | ||||
\(714\) | −10.2485 | + | 8.14916i | −0.383541 | + | 0.304975i | ||||
\(715\) | −4.33728 | − | 6.59451i | −0.162205 | − | 0.246621i | ||||
\(716\) | −2.39868 | − | 1.59923i | −0.0896430 | − | 0.0597660i | ||||
\(717\) | 10.9271 | − | 4.41544i | 0.408080 | − | 0.164898i | ||||
\(718\) | 5.02560 | − | 4.71178i | 0.187554 | − | 0.175842i | ||||
\(719\) | 0.974396 | + | 5.52607i | 0.0363388 | + | 0.206088i | 0.997571 | − | 0.0696511i | \(-0.0221886\pi\) |
−0.961233 | + | 0.275739i | \(0.911078\pi\) | |||||||
\(720\) | −4.20778 | − | 4.46700i | −0.156815 | − | 0.166475i | ||||
\(721\) | −0.363309 | + | 2.06043i | −0.0135303 | + | 0.0767342i | ||||
\(722\) | −16.8105 | − | 25.7341i | −0.625622 | − | 0.957725i | ||||
\(723\) | −20.6006 | − | 43.5099i | −0.766143 | − | 1.61815i | ||||
\(724\) | 15.2500 | − | 1.68581i | 0.566761 | − | 0.0626525i | ||||
\(725\) | 0.743776 | − | 6.36341i | 0.0276232 | − | 0.236331i | ||||
\(726\) | −0.917422 | + | 0.430862i | −0.0340487 | + | 0.0159908i | ||||
\(727\) | −24.4236 | − | 1.42251i | −0.905822 | − | 0.0527581i | −0.401094 | − | 0.916037i | \(-0.631370\pi\) |
−0.504728 | + | 0.863279i | \(0.668407\pi\) | |||||||
\(728\) | 1.93665 | − | 10.4109i | 0.0717768 | − | 0.385853i | ||||
\(729\) | −26.7383 | − | 3.75004i | −0.990308 | − | 0.138890i | ||||
\(730\) | 0.225886 | − | 3.67992i | 0.00836040 | − | 0.136200i | ||||
\(731\) | 2.09197 | − | 35.9177i | 0.0773743 | − | 1.32847i | ||||
\(732\) | −23.8538 | + | 9.46568i | −0.881662 | + | 0.349862i | ||||
\(733\) | 46.6367 | + | 5.45105i | 1.72257 | + | 0.201339i | 0.919103 | − | 0.394017i | \(-0.128915\pi\) |
0.803462 | + | 0.595356i | \(0.202989\pi\) | |||||||
\(734\) | −0.888011 | − | 5.12997i | −0.0327771 | − | 0.189350i | ||||
\(735\) | 5.10526 | − | 2.41718i | 0.188310 | − | 0.0891590i | ||||
\(736\) | −9.68778 | − | 27.9708i | −0.357096 | − | 1.03102i | ||||
\(737\) | −31.3320 | − | 5.52468i | −1.15413 | − | 0.203504i | ||||
\(738\) | −29.3788 | − | 21.4814i | −1.08145 | − | 0.790743i | ||||
\(739\) | 28.4429 | − | 5.01525i | 1.04629 | − | 0.184489i | 0.376023 | − | 0.926610i | \(-0.377291\pi\) |
0.670265 | + | 0.742121i | \(0.266180\pi\) | |||||||
\(740\) | −5.24650 | − | 6.33259i | −0.192865 | − | 0.232791i | ||||
\(741\) | −19.6466 | − | 48.6204i | −0.721737 | − | 1.78612i | ||||
\(742\) | −4.15880 | − | 2.41846i | −0.152674 | − | 0.0887846i | ||||
\(743\) | 36.8705 | − | 24.2501i | 1.35265 | − | 0.889651i | 0.353693 | − | 0.935361i | \(-0.384926\pi\) |
0.998955 | + | 0.0457108i | \(0.0145553\pi\) | |||||||
\(744\) | −17.7571 | − | 29.0167i | −0.651005 | − | 1.06380i | ||||
\(745\) | −8.89260 | − | 2.10758i | −0.325799 | − | 0.0772159i | ||||
\(746\) | 25.4094 | + | 11.0549i | 0.930303 | + | 0.404750i | ||||
\(747\) | 21.5996 | + | 15.6899i | 0.790288 | + | 0.574063i | ||||
\(748\) | −9.89529 | − | 42.9474i | −0.361808 | − | 1.57031i | ||||
\(749\) | −0.0341317 | − | 0.292015i | −0.00124714 | − | 0.0106700i | ||||
\(750\) | 5.76022 | − | 10.7533i | 0.210334 | − | 0.392657i | ||||
\(751\) | −33.4303 | + | 31.5399i | −1.21989 | + | 1.15091i | −0.236071 | + | 0.971736i | \(0.575860\pi\) |
−0.983818 | + | 0.179170i | \(0.942659\pi\) | |||||||
\(752\) | −6.56816 | + | 5.37272i | −0.239516 | + | 0.195923i | ||||
\(753\) | −14.6977 | − | 43.4991i | −0.535615 | − | 1.58519i | ||||
\(754\) | 3.56655 | + | 8.33983i | 0.129886 | + | 0.303719i | ||||
\(755\) | 3.98916 | − | 6.90944i | 0.145181 | − | 0.251460i | ||||
\(756\) | 2.66804 | + | 7.75604i | 0.0970358 | + | 0.282085i | ||||
\(757\) | 17.0037 | + | 29.4512i | 0.618008 | + | 1.07042i | 0.989849 | + | 0.142125i | \(0.0453936\pi\) |
−0.371840 | + | 0.928297i | \(0.621273\pi\) | |||||||
\(758\) | −5.86447 | + | 7.82611i | −0.213007 | + | 0.284257i | ||||
\(759\) | 18.4256 | + | 23.0241i | 0.668806 | + | 0.835721i | ||||
\(760\) | 2.04459 | + | 9.00254i | 0.0741651 | + | 0.326556i | ||||
\(761\) | 0.410936 | + | 0.123026i | 0.0148964 | + | 0.00445969i | 0.294243 | − | 0.955731i | \(-0.404933\pi\) |
−0.279346 | + | 0.960190i | \(0.590118\pi\) | |||||||
\(762\) | −48.5306 | − | 15.9340i | −1.75808 | − | 0.577229i | ||||
\(763\) | 5.61368 | + | 2.42150i | 0.203229 | + | 0.0876643i | ||||
\(764\) | −9.36864 | − | 10.0555i | −0.338946 | − | 0.363795i | ||||
\(765\) | 6.58519 | − | 8.03755i | 0.238088 | − | 0.290598i | ||||
\(766\) | 40.7939 | − | 30.1720i | 1.47394 | − | 1.09016i | ||||
\(767\) | 3.03989 | + | 10.1539i | 0.109764 | + | 0.366638i | ||||
\(768\) | 24.8873 | + | 12.1911i | 0.898043 | + | 0.439908i | ||||
\(769\) | 2.00737 | + | 34.4652i | 0.0723876 | + | 1.24285i | 0.817508 | + | 0.575917i | \(0.195355\pi\) |
−0.745121 | + | 0.666930i | \(0.767608\pi\) | |||||||
\(770\) | 0.00581056 | − | 1.85718i | 0.000209398 | − | 0.0669280i | ||||
\(771\) | −25.0120 | − | 13.2976i | −0.900784 | − | 0.478900i | ||||
\(772\) | −2.34230 | − | 13.7878i | −0.0843014 | − | 0.496235i | ||||
\(773\) | 11.5682 | + | 13.7864i | 0.416078 | + | 0.495862i | 0.932852 | − | 0.360260i | \(-0.117312\pi\) |
−0.516775 | + | 0.856122i | \(0.672867\pi\) | |||||||
\(774\) | −20.7706 | − | 8.74845i | −0.746585 | − | 0.314456i | ||||
\(775\) | 21.1505 | − | 25.2062i | 0.759748 | − | 0.905432i | ||||
\(776\) | −5.35652 | + | 7.98002i | −0.192288 | + | 0.286466i | ||||
\(777\) | 2.90698 | + | 10.5999i | 0.104287 | + | 0.380270i | ||||
\(778\) | −2.24666 | − | 0.825689i | −0.0805468 | − | 0.0296024i | ||||
\(779\) | 21.6855 | + | 50.2725i | 0.776962 | + | 1.80120i | ||||
\(780\) | 0.241122 | + | 8.40009i | 0.00863354 | + | 0.300771i | ||||
\(781\) | −5.99839 | − | 3.94520i | −0.214639 | − | 0.141171i | ||||
\(782\) | 44.8594 | − | 22.3537i | 1.60417 | − | 0.799368i | ||||
\(783\) | −5.58676 | − | 4.25985i | −0.199655 | − | 0.152235i | ||||
\(784\) | −17.7357 | + | 18.3336i | −0.633418 | + | 0.654771i | ||||
\(785\) | −4.57325 | − | 9.10608i | −0.163226 | − | 0.325010i | ||||
\(786\) | 27.8982 | − | 28.0513i | 0.995096 | − | 1.00056i | ||||
\(787\) | 21.5483 | + | 16.0421i | 0.768114 | + | 0.571840i | 0.908317 | − | 0.418283i | \(-0.137368\pi\) |
−0.140202 | + | 0.990123i | \(0.544775\pi\) | |||||||
\(788\) | 17.2236 | − | 12.6558i | 0.613566 | − | 0.450843i | ||||
\(789\) | −11.3777 | + | 8.06663i | −0.405057 | + | 0.287180i | ||||
\(790\) | 0.512110 | − | 0.0282196i | 0.0182201 | − | 0.00100401i | ||||
\(791\) | 0.801463 | − | 0.291709i | 0.0284968 | − | 0.0103720i | ||||
\(792\) | −27.4289 | − | 3.14080i | −0.974642 | − | 0.111604i | ||||
\(793\) | 33.0235 | + | 12.0196i | 1.17270 | + | 0.426827i | ||||
\(794\) | 22.8776 | + | 6.92717i | 0.811896 | + | 0.245836i | ||||
\(795\) | 3.63100 | + | 1.17959i | 0.128778 | + | 0.0418358i | ||||
\(796\) | 22.1433 | + | 44.7876i | 0.784849 | + | 1.58745i | ||||
\(797\) | −10.8582 | + | 21.6204i | −0.384616 | + | 0.765833i | −0.999745 | − | 0.0225933i | \(-0.992808\pi\) |
0.615129 | + | 0.788427i | \(0.289104\pi\) | |||||||
\(798\) | 2.46205 | − | 12.0907i | 0.0871557 | − | 0.428007i | ||||
\(799\) | −10.4509 | − | 9.85989i | −0.369725 | − | 0.348818i | ||||
\(800\) | −3.52794 | + | 26.5717i | −0.124732 | + | 0.939451i | ||||
\(801\) | −10.5464 | + | 11.4446i | −0.372640 | + | 0.404375i | ||||
\(802\) | 30.4248 | + | 7.31142i | 1.07434 | + | 0.258175i | ||||
\(803\) | −9.90476 | − | 13.3044i | −0.349531 | − | 0.469502i | ||||
\(804\) | 25.2954 | + | 22.5287i | 0.892099 | + | 0.794527i | ||||
\(805\) | 2.05511 | − | 0.487069i | 0.0724330 | − | 0.0171669i | ||||
\(806\) | −8.23287 | + | 45.8516i | −0.289991 | + | 1.61505i | ||||
\(807\) | 12.1772 | + | 0.282848i | 0.428658 | + | 0.00995671i | ||||
\(808\) | 38.0788 | + | 9.40317i | 1.33961 | + | 0.330802i | ||||
\(809\) | 42.6298i | 1.49878i | 0.662127 | + | 0.749391i | \(0.269654\pi\) | ||||
−0.662127 | + | 0.749391i | \(0.730346\pi\) | |||||||
\(810\) | −3.36843 | − | 5.56962i | −0.118355 | − | 0.195696i | ||||
\(811\) | − | 13.4082i | − | 0.470824i | −0.971896 | − | 0.235412i | \(-0.924356\pi\) | ||
0.971896 | − | 0.235412i | \(-0.0756439\pi\) | |||||||
\(812\) | −0.383750 | + | 2.09945i | −0.0134670 | + | 0.0736762i | ||||
\(813\) | 1.44367 | − | 2.37156i | 0.0506316 | − | 0.0831742i | ||||
\(814\) | −36.4141 | − | 6.53833i | −1.27632 | − | 0.229168i | ||||
\(815\) | 5.85200 | − | 1.38695i | 0.204986 | − | 0.0485827i | ||||
\(816\) | −15.0553 | + | 44.4425i | −0.527042 | + | 1.55580i | ||||
\(817\) | 20.2465 | + | 27.1958i | 0.708337 | + | 0.951462i | ||||
\(818\) | 2.85316 | − | 11.8727i | 0.0997582 | − | 0.415121i | ||||
\(819\) | 4.32742 | − | 10.3647i | 0.151212 | − | 0.362173i | ||||
\(820\) | −0.455333 | − | 8.76197i | −0.0159009 | − | 0.305981i | ||||
\(821\) | −28.5894 | − | 26.9727i | −0.997776 | − | 0.941353i | 0.000502791 | − | 1.00000i | \(-0.499840\pi\) |
−0.998279 | + | 0.0586468i | \(0.981321\pi\) | |||||||
\(822\) | 12.9244 | − | 14.6033i | 0.450790 | − | 0.509348i | ||||
\(823\) | −9.01662 | + | 17.9536i | −0.314300 | + | 0.625822i | −0.994208 | − | 0.107475i | \(-0.965723\pi\) |
0.679908 | + | 0.733297i | \(0.262020\pi\) | |||||||
\(824\) | 2.90500 | + | 6.91221i | 0.101200 | + | 0.240798i | ||||
\(825\) | −5.55323 | − | 26.1198i | −0.193339 | − | 0.909374i | ||||
\(826\) | −0.722744 | + | 2.38693i | −0.0251475 | + | 0.0830518i | ||||
\(827\) | −6.22934 | − | 2.26730i | −0.216615 | − | 0.0788416i | 0.231433 | − | 0.972851i | \(-0.425659\pi\) |
−0.448048 | + | 0.894009i | \(0.647881\pi\) | |||||||
\(828\) | −3.81555 | − | 31.1639i | −0.132599 | − | 1.08302i | ||||
\(829\) | −7.96959 | + | 2.90069i | −0.276795 | + | 0.100745i | −0.476688 | − | 0.879073i | \(-0.658163\pi\) |
0.199893 | + | 0.979818i | \(0.435941\pi\) | |||||||
\(830\) | 0.354109 | + | 6.42613i | 0.0122913 | + | 0.223054i | ||||
\(831\) | −1.33573 | − | 14.3008i | −0.0463358 | − | 0.496090i | ||||
\(832\) | −14.3743 | − | 35.1218i | −0.498338 | − | 1.21763i | ||||
\(833\) | −34.6443 | − | 25.7917i | −1.20035 | − | 0.893630i | ||||
\(834\) | −4.28270 | + | 16.1600i | −0.148298 | + | 0.559576i | ||||
\(835\) | 4.89016 | + | 9.73711i | 0.169231 | + | 0.336966i | ||||
\(836\) | 33.1581 | + | 25.0093i | 1.14680 | + | 0.864965i | ||||
\(837\) | −11.9504 | − | 34.0460i | −0.413068 | − | 1.17680i | ||||
\(838\) | −15.0093 | − | 30.1205i | −0.518486 | − | 1.04050i | ||||
\(839\) | −1.25270 | − | 0.823916i | −0.0432481 | − | 0.0284448i | 0.527701 | − | 0.849430i | \(-0.323054\pi\) |
−0.570949 | + | 0.820986i | \(0.693425\pi\) | |||||||
\(840\) | −1.04396 | + | 1.67926i | −0.0360201 | + | 0.0579400i | ||||
\(841\) | 10.7622 | + | 24.9497i | 0.371112 | + | 0.860334i | ||||
\(842\) | 14.7470 | − | 40.1260i | 0.508216 | − | 1.38283i | ||||
\(843\) | 21.5600 | − | 21.8144i | 0.742565 | − | 0.751328i | ||||
\(844\) | −14.8931 | − | 8.72325i | −0.512642 | − | 0.300267i | ||||
\(845\) | 3.12366 | − | 3.72263i | 0.107457 | − | 0.128062i | ||||
\(846\) | −8.00803 | + | 4.10842i | −0.275322 | + | 0.141250i | ||||
\(847\) | 0.209921 | + | 0.250174i | 0.00721297 | + | 0.00859608i | ||||
\(848\) | −17.2228 | + | 0.786988i | −0.591432 | + | 0.0270253i | ||||
\(849\) | −2.52155 | + | 1.57580i | −0.0865392 | + | 0.0540814i | ||||
\(850\) | −45.3858 | − | 0.141999i | −1.55672 | − | 0.00487052i | ||||
\(851\) | −2.44634 | − | 42.0021i | −0.0838596 | − | 1.43981i | ||||
\(852\) | 3.22774 | + | 6.92899i | 0.110580 | + | 0.237383i | ||||
\(853\) | −8.03871 | − | 26.8512i | −0.275240 | − | 0.919366i | −0.978117 | − | 0.208055i | \(-0.933287\pi\) |
0.702877 | − | 0.711311i | \(-0.251898\pi\) | |||||||
\(854\) | 4.91709 | + | 6.64813i | 0.168260 | + | 0.227494i | ||||
\(855\) | 0.114862 | + | 9.79113i | 0.00392820 | + | 0.334849i | ||||
\(856\) | −0.669647 | − | 0.813439i | −0.0228881 | − | 0.0278028i | ||||
\(857\) | −38.8129 | − | 16.7423i | −1.32582 | − | 0.571905i | −0.388850 | − | 0.921301i | \(-0.627127\pi\) |
−0.936975 | + | 0.349396i | \(0.886387\pi\) | |||||||
\(858\) | 25.2105 | + | 28.1732i | 0.860673 | + | 0.961818i | ||||
\(859\) | 20.5026 | + | 6.13808i | 0.699541 | + | 0.209429i | 0.616774 | − | 0.787140i | \(-0.288439\pi\) |
0.0827666 | + | 0.996569i | \(0.473624\pi\) | |||||||
\(860\) | −1.52568 | − | 5.21468i | −0.0520254 | − | 0.177819i | ||||
\(861\) | −4.26557 | + | 10.9234i | −0.145370 | + | 0.372268i | ||||
\(862\) | 10.5879 | + | 7.93401i | 0.360626 | + | 0.270233i | ||||
\(863\) | 0.128176 | + | 0.222008i | 0.00436317 | + | 0.00755723i | 0.868199 | − | 0.496217i | \(-0.165278\pi\) |
−0.863836 | + | 0.503774i | \(0.831944\pi\) | |||||||
\(864\) | 23.0926 | + | 18.1861i | 0.785625 | + | 0.618703i | ||||
\(865\) | 6.05046 | − | 10.4797i | 0.205722 | − | 0.356321i | ||||
\(866\) | 15.0686 | − | 6.44412i | 0.512052 | − | 0.218980i | ||||
\(867\) | −49.0310 | − | 9.82461i | −1.66518 | − | 0.333661i | ||||
\(868\) | −7.57177 | + | 7.92566i | −0.257003 | + | 0.269014i | ||||
\(869\) | 1.67833 | − | 1.58343i | 0.0569336 | − | 0.0537141i | ||||
\(870\) | −0.0538929 | − | 1.69282i | −0.00182714 | − | 0.0573919i | ||||
\(871\) | −5.38503 | − | 46.0719i | −0.182465 | − | 1.56109i | ||||
\(872\) | 21.6115 | − | 3.60187i | 0.731856 | − | 0.121975i | ||||
\(873\) | −7.33235 | + | 7.08212i | −0.248162 | + | 0.239693i | ||||
\(874\) | −18.8430 | + | 43.3099i | −0.637375 | + | 1.46498i | ||||
\(875\) | −3.82467 | − | 0.906463i | −0.129297 | − | 0.0306441i | ||||
\(876\) | 1.53222 | + | 17.5927i | 0.0517688 | + | 0.594404i | ||||
\(877\) | −39.0910 | + | 25.7106i | −1.32001 | + | 0.868185i | −0.996939 | − | 0.0781894i | \(-0.975086\pi\) |
−0.323072 | + | 0.946374i | \(0.604716\pi\) | |||||||
\(878\) | −1.52867 | + | 2.62871i | −0.0515902 | + | 0.0887147i | ||||
\(879\) | 15.1994 | − | 19.4562i | 0.512662 | − | 0.656242i | ||||
\(880\) | −3.58743 | − | 5.60600i | −0.120932 | − | 0.188978i | ||||
\(881\) | 39.5807 | − | 6.97914i | 1.33351 | − | 0.235133i | 0.538957 | − | 0.842333i | \(-0.318818\pi\) |
0.794549 | + | 0.607200i | \(0.207707\pi\) | |||||||
\(882\) | −22.4760 | + | 15.0612i | −0.756805 | + | 0.507138i | ||||
\(883\) | 23.1609 | + | 4.08389i | 0.779426 | + | 0.137434i | 0.549186 | − | 0.835700i | \(-0.314938\pi\) |
0.230240 | + | 0.973134i | \(0.426049\pi\) | |||||||
\(884\) | 55.8473 | − | 31.7792i | 1.87835 | − | 1.06885i | ||||
\(885\) | 0.160926 | − | 1.97258i | 0.00540946 | − | 0.0663076i | ||||
\(886\) | −7.41576 | + | 1.28369i | −0.249137 | + | 0.0431264i | ||||
\(887\) | 1.25716 | + | 0.146941i | 0.0422113 | + | 0.00493380i | 0.137172 | − | 0.990547i | \(-0.456199\pi\) |
−0.0949610 | + | 0.995481i | \(0.530273\pi\) | |||||||
\(888\) | 29.3326 | + | 26.2894i | 0.984337 | + | 0.882215i | ||||
\(889\) | −0.956965 | + | 16.4305i | −0.0320956 | + | 0.551060i | ||||
\(890\) | −3.74478 | − | 0.229867i | −0.125525 | − | 0.00770515i | ||||
\(891\) | −27.7442 | − | 9.36703i | −0.929467 | − | 0.313807i | ||||
\(892\) | −1.64432 | + | 13.3434i | −0.0550560 | + | 0.446771i | ||||
\(893\) | 13.5169 | + | 0.787269i | 0.452325 | + | 0.0263449i | ||||
\(894\) | 43.6176 | + | 3.69579i | 1.45879 | + | 0.123606i | ||||
\(895\) | 0.0855784 | − | 0.732170i | 0.00286057 | − | 0.0244737i | ||||
\(896\) | 1.74276 | − | 8.75761i | 0.0582216 | − | 0.292571i | ||||
\(897\) | −24.4533 | + | 35.3626i | −0.816473 | + | 1.18072i | ||||
\(898\) | −36.1326 | + | 23.6032i | −1.20576 | + | 0.787648i | ||||
\(899\) | 1.63036 | − | 9.24621i | 0.0543754 | − | 0.308378i | ||||
\(900\) | −9.57755 | + | 26.7691i | −0.319252 | + | 0.892303i | ||||
\(901\) | −5.06914 | − | 28.7485i | −0.168877 | − | 0.957752i | ||||
\(902\) | −26.9972 | − | 28.7953i | −0.898908 | − | 0.958779i | ||||
\(903\) | −1.01032 | + | 7.19128i | −0.0336213 | + | 0.239311i | ||||
\(904\) | 1.84817 | − | 2.43448i | 0.0614691 | − | 0.0809695i | ||||
\(905\) | 2.15580 | + | 3.27773i | 0.0716611 | + | 0.108955i | ||||
\(906\) | −14.0119 | + | 35.5533i | −0.465514 | + | 1.18118i | ||||
\(907\) | −2.12883 | + | 8.98222i | −0.0706865 | + | 0.298250i | −0.996893 | − | 0.0787666i | \(-0.974902\pi\) |
0.926207 | + | 0.377016i | \(0.123050\pi\) | |||||||
\(908\) | −37.6208 | − | 19.1896i | −1.24849 | − | 0.636829i | ||||
\(909\) | 37.3932 | + | 18.2335i | 1.24025 | + | 0.604767i | ||||
\(910\) | 2.59637 | − | 0.768458i | 0.0860687 | − | 0.0254741i | ||||
\(911\) | −16.6024 | + | 1.94054i | −0.550062 | + | 0.0642930i | −0.386584 | − | 0.922254i | \(-0.626345\pi\) |
−0.163478 | + | 0.986547i | \(0.552271\pi\) | |||||||
\(912\) | −16.0522 | − | 41.2022i | −0.531541 | − | 1.36434i | ||||
\(913\) | 19.8694 | + | 21.0603i | 0.657580 | + | 0.696994i | ||||
\(914\) | −16.4985 | + | 19.5377i | −0.545723 | + | 0.646250i | ||||
\(915\) | −4.92750 | − | 4.33358i | −0.162898 | − | 0.143264i | ||||
\(916\) | 25.3249 | − | 9.03846i | 0.836759 | − | 0.298639i | ||||
\(917\) | −11.0396 | − | 6.37370i | −0.364559 | − | 0.210478i | ||||
\(918\) | −25.5124 | + | 42.7334i | −0.842034 | + | 1.41041i | ||||
\(919\) | −43.4037 | + | 25.0592i | −1.43176 | + | 0.826625i | −0.997255 | − | 0.0740451i | \(-0.976409\pi\) |
−0.434502 | + | 0.900671i | \(0.643076\pi\) | |||||||
\(920\) | 5.24554 | − | 5.45642i | 0.172940 | − | 0.179893i | ||||
\(921\) | 8.00967 | + | 52.5311i | 0.263927 | + | 1.73096i | ||||
\(922\) | 46.4712 | − | 16.7497i | 1.53045 | − | 0.551621i | ||||
\(923\) | 3.00209 | − | 10.0277i | 0.0988151 | − | 0.330065i | ||||
\(924\) | 1.28580 | + | 8.80217i | 0.0422998 | + | 0.289570i | ||||
\(925\) | −15.0902 | + | 34.9831i | −0.496164 | + | 1.15024i | ||||
\(926\) | 2.84658 | − | 2.99835i | 0.0935444 | − | 0.0985319i | ||||
\(927\) | 1.47274 | + | 7.81511i | 0.0483712 | + | 0.256682i | ||||
\(928\) | 2.91916 | + | 7.06945i | 0.0958263 | + | 0.232066i | ||||
\(929\) | 32.0457 | − | 9.59385i | 1.05138 | − | 0.314764i | 0.285928 | − | 0.958251i | \(-0.407698\pi\) |
0.765457 | + | 0.643487i | \(0.222513\pi\) | |||||||
\(930\) | 4.54625 | − | 7.41594i | 0.149077 | − | 0.243178i | ||||
\(931\) | 40.6323 | − | 2.36656i | 1.33167 | − | 0.0775610i | ||||
\(932\) | 4.28789 | + | 0.276674i | 0.140455 | + | 0.00906274i | ||||
\(933\) | −8.25571 | + | 0.288689i | −0.270280 | + | 0.00945126i | ||||
\(934\) | −0.411120 | − | 1.75916i | −0.0134522 | − | 0.0575615i | ||||
\(935\) | 8.63274 | − | 7.24373i | 0.282321 | − | 0.236895i | ||||
\(936\) | −7.08252 | − | 39.6235i | −0.231499 | − | 1.29513i | ||||
\(937\) | −15.5727 | − | 13.0670i | −0.508738 | − | 0.426882i | 0.351947 | − | 0.936020i | \(-0.385520\pi\) |
−0.860685 | + | 0.509138i | \(0.829964\pi\) | |||||||
\(938\) | 4.92882 | − | 9.73799i | 0.160932 | − | 0.317957i | ||||
\(939\) | −3.01358 | + | 11.5166i | −0.0983443 | + | 0.375830i | ||||
\(940\) | −1.98690 | − | 0.871851i | −0.0648055 | − | 0.0284366i | ||||
\(941\) | 29.3417 | − | 12.6568i | 0.956513 | − | 0.412599i | 0.140145 | − | 0.990131i | \(-0.455243\pi\) |
0.816368 | + | 0.577532i | \(0.195984\pi\) | |||||||
\(942\) | 28.1045 | + | 39.9045i | 0.915693 | + | 1.30016i | ||||
\(943\) | 24.6665 | − | 37.5036i | 0.803251 | − | 1.22128i | ||||
\(944\) | 2.45597 | + | 8.59349i | 0.0799349 | + | 0.279694i | ||||
\(945\) | −1.45666 | + | 1.50885i | −0.0473852 | + | 0.0490829i | ||||
\(946\) | −20.3800 | − | 13.4957i | −0.662612 | − | 0.438783i | ||||
\(947\) | 49.7874 | − | 25.0042i | 1.61787 | − | 0.812527i | 0.618225 | − | 0.786001i | \(-0.287852\pi\) |
0.999648 | − | 0.0265255i | \(-0.00844432\pi\) | |||||||
\(948\) | −2.40608 | + | 0.495832i | −0.0781458 | + | 0.0161039i | ||||
\(949\) | 14.4407 | − | 19.3973i | 0.468766 | − | 0.629662i | ||||
\(950\) | 32.8495 | − | 27.3893i | 1.06578 | − | 0.888628i | ||||
\(951\) | 4.42345 | − | 9.63324i | 0.143440 | − | 0.312379i | ||||
\(952\) | 15.0846 | + | 1.02073i | 0.488896 | + | 0.0330820i | ||||
\(953\) | 10.0675 | + | 27.6602i | 0.326118 | + | 0.896001i | 0.989084 | + | 0.147352i | \(0.0470750\pi\) |
−0.662966 | + | 0.748649i | \(0.730703\pi\) | |||||||
\(954\) | −18.0354 | − | 3.02040i | −0.583918 | − | 0.0977891i | ||||
\(955\) | 1.20192 | − | 3.30225i | 0.0388933 | − | 0.106858i | ||||
\(956\) | −12.7586 | − | 4.73438i | −0.412643 | − | 0.153121i | ||||
\(957\) | −5.09874 | − | 5.66218i | −0.164819 | − | 0.183032i | ||||
\(958\) | 2.02257 | − | 1.15931i | 0.0653464 | − | 0.0374557i | ||||
\(959\) | −5.61511 | − | 2.82001i | −0.181321 | − | 0.0910630i | ||||
\(960\) | 0.114662 | + | 7.08517i | 0.00370071 | + | 0.228673i | ||||
\(961\) | 11.8172 | − | 12.5255i | 0.381199 | − | 0.404047i | ||||
\(962\) | −6.09433 | − | 53.5940i | −0.196489 | − | 1.72794i | ||||
\(963\) | −0.513227 | − | 0.992709i | −0.0165385 | − | 0.0319896i | ||||
\(964\) | −16.2756 | + | 53.1517i | −0.524203 | + | 1.71190i | ||||
\(965\) | 2.86841 | − | 2.13545i | 0.0923374 | − | 0.0687426i | ||||
\(966\) | −9.39128 | + | 3.76071i | −0.302160 | + | 0.120999i | ||||
\(967\) | 3.94720 | + | 16.6545i | 0.126933 | + | 0.535574i | 0.998938 | + | 0.0460760i | \(0.0146716\pi\) |
−0.872005 | + | 0.489498i | \(0.837180\pi\) | |||||||
\(968\) | 1.11799 | + | 0.346172i | 0.0359336 | + | 0.0111264i | ||||
\(969\) | 65.6920 | − | 35.9197i | 2.11033 | − | 1.15391i | ||||
\(970\) | −2.44001 | − | 0.292937i | −0.0783440 | − | 0.00940565i | ||||
\(971\) | −4.15438 | −0.133321 | −0.0666603 | − | 0.997776i | \(-0.521234\pi\) | ||||
−0.0666603 | + | 0.997776i | \(0.521234\pi\) | |||||||
\(972\) | 19.8960 | + | 24.0031i | 0.638165 | + | 0.769900i | ||||
\(973\) | 5.38667 | 0.172689 | ||||||||
\(974\) | 48.0019 | + | 5.76291i | 1.53808 | + | 0.184656i | ||||
\(975\) | 34.1597 | − | 18.6782i | 1.09399 | − | 0.598180i | ||||
\(976\) | 27.7172 | + | 10.4829i | 0.887207 | + | 0.335549i | ||||
\(977\) | 12.3873 | + | 52.2661i | 0.396305 | + | 1.67214i | 0.695950 | + | 0.718091i | \(0.254984\pi\) |
−0.299645 | + | 0.954051i | \(0.596868\pi\) | |||||||
\(978\) | −26.7420 | + | 10.7088i | −0.855116 | + | 0.342428i | ||||
\(979\) | −13.5389 | + | 10.0793i | −0.432705 | + | 0.322137i | ||||
\(980\) | −6.23658 | − | 1.90971i | −0.199220 | − | 0.0610035i | ||||
\(981\) | 23.2135 | + | 1.07897i | 0.741151 | + | 0.0344490i | ||||
\(982\) | −0.488763 | − | 4.29821i | −0.0155970 | − | 0.137162i | ||||
\(983\) | 7.88632 | − | 8.35901i | 0.251534 | − | 0.266611i | −0.589287 | − | 0.807924i | \(-0.700591\pi\) |
0.840821 | + | 0.541313i | \(0.182073\pi\) | |||||||
\(984\) | 8.35322 | + | 41.1863i | 0.266291 | + | 1.31297i | ||||
\(985\) | 4.88381 | + | 2.45274i | 0.155611 | + | 0.0781508i | ||||
\(986\) | −11.2355 | + | 6.44005i | −0.357812 | + | 0.205093i | ||||
\(987\) | 1.94060 | + | 2.15504i | 0.0617699 | + | 0.0685958i | ||||
\(988\) | −21.0658 | + | 56.7699i | −0.670191 | + | 1.80609i | ||||
\(989\) | 9.50735 | − | 26.1212i | 0.302316 | − | 0.830607i | ||||
\(990\) | −2.47140 | − | 6.61258i | −0.0785463 | − | 0.210161i | ||||
\(991\) | −6.38042 | − | 17.5301i | −0.202681 | − | 0.556861i | 0.796155 | − | 0.605092i | \(-0.206864\pi\) |
−0.998836 | + | 0.0482313i | \(0.984642\pi\) | |||||||
\(992\) | −7.42548 | + | 38.5734i | −0.235759 | + | 1.22471i | ||||
\(993\) | 18.4043 | − | 40.0802i | 0.584042 | − | 1.27191i | ||||
\(994\) | 1.89166 | − | 1.57723i | 0.0599999 | − | 0.0500268i | ||||
\(995\) | −7.62887 | + | 10.2473i | −0.241851 | + | 0.324863i | ||||
\(996\) | −6.22187 | − | 30.1923i | −0.197147 | − | 0.956679i | ||||
\(997\) | 19.8092 | − | 9.94856i | 0.627364 | − | 0.315074i | −0.106559 | − | 0.994306i | \(-0.533983\pi\) |
0.733923 | + | 0.679232i | \(0.237687\pi\) | |||||||
\(998\) | −35.6874 | − | 23.6323i | −1.12967 | − | 0.748067i | ||||
\(999\) | 24.5618 | + | 33.7963i | 0.777102 | + | 1.06927i |
(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 | 324.2.p.a.83.25 | ✓ | 936 | |
3.2 | odd | 2 | 972.2.p.a.251.28 | 936 | |||
4.3 | odd | 2 | inner | 324.2.p.a.83.26 | yes | 936 | |
12.11 | even | 2 | 972.2.p.a.251.27 | 936 | |||
81.40 | even | 27 | 972.2.p.a.395.27 | 936 | |||
81.41 | odd | 54 | inner | 324.2.p.a.203.26 | yes | 936 | |
324.203 | even | 54 | inner | 324.2.p.a.203.25 | yes | 936 | |
324.283 | odd | 54 | 972.2.p.a.395.28 | 936 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
324.2.p.a.83.25 | ✓ | 936 | 1.1 | even | 1 | trivial | |
324.2.p.a.83.26 | yes | 936 | 4.3 | odd | 2 | inner | |
324.2.p.a.203.25 | yes | 936 | 324.203 | even | 54 | inner | |
324.2.p.a.203.26 | yes | 936 | 81.41 | odd | 54 | inner | |
972.2.p.a.251.27 | 936 | 12.11 | even | 2 | |||
972.2.p.a.251.28 | 936 | 3.2 | odd | 2 | |||
972.2.p.a.395.27 | 936 | 81.40 | even | 27 | |||
972.2.p.a.395.28 | 936 | 324.283 | odd | 54 |