Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(191,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.191");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(70\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 191.14 | ||
Character | \(\chi\) | \(=\) | 403.191 |
Dual form | 403.2.e.a.211.14 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.356919 | + | 0.618202i | −0.252380 | + | 0.437135i | −0.964181 | − | 0.265247i | \(-0.914547\pi\) |
0.711801 | + | 0.702382i | \(0.247880\pi\) | |||||||
\(3\) | −0.621239 | − | 1.07602i | −0.358672 | − | 0.621239i | 0.629067 | − | 0.777351i | \(-0.283437\pi\) |
−0.987739 | + | 0.156112i | \(0.950104\pi\) | |||||||
\(4\) | 0.745217 | + | 1.29075i | 0.372609 | + | 0.645377i | ||||
\(5\) | −0.797665 | − | 1.38160i | −0.356727 | − | 0.617869i | 0.630685 | − | 0.776039i | \(-0.282774\pi\) |
−0.987412 | + | 0.158170i | \(0.949441\pi\) | |||||||
\(6\) | 0.886928 | 0.362087 | ||||||||
\(7\) | −1.56596 | −0.591875 | −0.295938 | − | 0.955207i | \(-0.595632\pi\) | ||||
−0.295938 | + | 0.955207i | \(0.595632\pi\) | |||||||
\(8\) | −2.49161 | −0.880916 | ||||||||
\(9\) | 0.728125 | − | 1.26115i | 0.242708 | − | 0.420383i | ||||
\(10\) | 1.13881 | 0.360123 | ||||||||
\(11\) | −3.65486 | −1.10198 | −0.550991 | − | 0.834511i | \(-0.685750\pi\) | ||||
−0.550991 | + | 0.834511i | \(0.685750\pi\) | |||||||
\(12\) | 0.925916 | − | 1.60373i | 0.267289 | − | 0.462958i | ||||
\(13\) | −3.60365 | − | 0.117122i | −0.999472 | − | 0.0324839i | ||||
\(14\) | 0.558920 | − | 0.968077i | 0.149378 | − | 0.258730i | ||||
\(15\) | −0.991081 | + | 1.71660i | −0.255896 | + | 0.443225i | ||||
\(16\) | −0.601132 | + | 1.04119i | −0.150283 | + | 0.260298i | ||||
\(17\) | 5.00804 | 1.21463 | 0.607314 | − | 0.794462i | \(-0.292247\pi\) | ||||
0.607314 | + | 0.794462i | \(0.292247\pi\) | |||||||
\(18\) | 0.519764 | + | 0.900257i | 0.122509 | + | 0.212193i | ||||
\(19\) | −7.66971 | −1.75955 | −0.879776 | − | 0.475388i | \(-0.842308\pi\) | ||||
−0.879776 | + | 0.475388i | \(0.842308\pi\) | |||||||
\(20\) | 1.18887 | − | 2.05918i | 0.265839 | − | 0.460447i | ||||
\(21\) | 0.972832 | + | 1.68499i | 0.212289 | + | 0.367696i | ||||
\(22\) | 1.30449 | − | 2.25945i | 0.278119 | − | 0.481715i | ||||
\(23\) | 1.58610 | − | 2.74721i | 0.330725 | − | 0.572833i | −0.651929 | − | 0.758280i | \(-0.726040\pi\) |
0.982654 | + | 0.185447i | \(0.0593733\pi\) | |||||||
\(24\) | 1.54788 | + | 2.68101i | 0.315960 | + | 0.547259i | ||||
\(25\) | 1.22746 | − | 2.12602i | 0.245492 | − | 0.425205i | ||||
\(26\) | 1.35862 | − | 2.18598i | 0.266447 | − | 0.428706i | ||||
\(27\) | −5.53679 | −1.06556 | ||||||||
\(28\) | −1.16698 | − | 2.02126i | −0.220538 | − | 0.381983i | ||||
\(29\) | −0.219667 | + | 0.380475i | −0.0407912 | + | 0.0706524i | −0.885700 | − | 0.464258i | \(-0.846321\pi\) |
0.844909 | + | 0.534910i | \(0.179654\pi\) | |||||||
\(30\) | −0.707472 | − | 1.22538i | −0.129166 | − | 0.223722i | ||||
\(31\) | −5.20665 | + | 1.97251i | −0.935142 | + | 0.354273i | ||||
\(32\) | −2.92072 | − | 5.05883i | −0.516315 | − | 0.894284i | ||||
\(33\) | 2.27054 | + | 3.93270i | 0.395251 | + | 0.684594i | ||||
\(34\) | −1.78747 | + | 3.09598i | −0.306548 | + | 0.530957i | ||||
\(35\) | 1.24911 | + | 2.16352i | 0.211138 | + | 0.365701i | ||||
\(36\) | 2.17044 | 0.361741 | ||||||||
\(37\) | −2.72042 | − | 4.71190i | −0.447234 | − | 0.774632i | 0.550971 | − | 0.834524i | \(-0.314257\pi\) |
−0.998205 | + | 0.0598926i | \(0.980924\pi\) | |||||||
\(38\) | 2.73747 | − | 4.74143i | 0.444076 | − | 0.769162i | ||||
\(39\) | 2.11270 | + | 3.95035i | 0.338303 | + | 0.632562i | ||||
\(40\) | 1.98747 | + | 3.44240i | 0.314246 | + | 0.544291i | ||||
\(41\) | 0.242638 | 0.0378937 | 0.0189468 | − | 0.999820i | \(-0.493969\pi\) | ||||
0.0189468 | + | 0.999820i | \(0.493969\pi\) | |||||||
\(42\) | −1.38889 | −0.214310 | ||||||||
\(43\) | −4.04007 | −0.616105 | −0.308052 | − | 0.951369i | \(-0.599677\pi\) | ||||
−0.308052 | + | 0.951369i | \(0.599677\pi\) | |||||||
\(44\) | −2.72367 | − | 4.71753i | −0.410608 | − | 0.711194i | ||||
\(45\) | −2.32320 | −0.346322 | ||||||||
\(46\) | 1.13222 | + | 1.96107i | 0.166937 | + | 0.289143i | ||||
\(47\) | 11.9925 | 1.74929 | 0.874646 | − | 0.484762i | \(-0.161094\pi\) | ||||
0.874646 | + | 0.484762i | \(0.161094\pi\) | |||||||
\(48\) | 1.49379 | 0.215609 | ||||||||
\(49\) | −4.54778 | −0.649684 | ||||||||
\(50\) | 0.876208 | + | 1.51764i | 0.123915 | + | 0.214626i | ||||
\(51\) | −3.11119 | − | 5.38874i | −0.435653 | − | 0.754574i | ||||
\(52\) | −2.53432 | − | 4.73871i | −0.351448 | − | 0.657140i | ||||
\(53\) | −1.90660 | − | 3.30232i | −0.261891 | − | 0.453609i | 0.704853 | − | 0.709353i | \(-0.251013\pi\) |
−0.966745 | + | 0.255744i | \(0.917680\pi\) | |||||||
\(54\) | 1.97619 | − | 3.42286i | 0.268925 | − | 0.465792i | ||||
\(55\) | 2.91536 | + | 5.04955i | 0.393107 | + | 0.680881i | ||||
\(56\) | 3.90174 | 0.521393 | ||||||||
\(57\) | 4.76472 | + | 8.25274i | 0.631103 | + | 1.09310i | ||||
\(58\) | −0.156807 | − | 0.271597i | −0.0205898 | − | 0.0356625i | ||||
\(59\) | −2.45827 | −0.320040 | −0.160020 | − | 0.987114i | \(-0.551156\pi\) | ||||
−0.160020 | + | 0.987114i | \(0.551156\pi\) | |||||||
\(60\) | −2.95428 | −0.381396 | ||||||||
\(61\) | 0.0980818 | + | 0.169883i | 0.0125581 | + | 0.0217512i | 0.872236 | − | 0.489085i | \(-0.162669\pi\) |
−0.859678 | + | 0.510836i | \(0.829336\pi\) | |||||||
\(62\) | 0.638944 | − | 3.92279i | 0.0811460 | − | 0.498195i | ||||
\(63\) | −1.14021 | + | 1.97490i | −0.143653 | + | 0.248814i | ||||
\(64\) | 1.76532 | 0.220665 | ||||||||
\(65\) | 2.71269 | + | 5.07221i | 0.336468 | + | 0.629131i | ||||
\(66\) | −3.24160 | −0.399014 | ||||||||
\(67\) | 14.4107 | 1.76055 | 0.880275 | − | 0.474464i | \(-0.157358\pi\) | ||||
0.880275 | + | 0.474464i | \(0.157358\pi\) | |||||||
\(68\) | 3.73208 | + | 6.46415i | 0.452581 | + | 0.783893i | ||||
\(69\) | −3.94139 | −0.474488 | ||||||||
\(70\) | −1.78332 | −0.213148 | ||||||||
\(71\) | 0.489127 | − | 0.847193i | 0.0580487 | − | 0.100543i | −0.835541 | − | 0.549429i | \(-0.814845\pi\) |
0.893589 | + | 0.448885i | \(0.148179\pi\) | |||||||
\(72\) | −1.81420 | + | 3.14229i | −0.213806 | + | 0.370322i | ||||
\(73\) | 5.90111 | + | 10.2210i | 0.690673 | + | 1.19628i | 0.971618 | + | 0.236556i | \(0.0760188\pi\) |
−0.280945 | + | 0.959724i | \(0.590648\pi\) | |||||||
\(74\) | 3.88388 | 0.451492 | ||||||||
\(75\) | −3.05018 | −0.352205 | ||||||||
\(76\) | −5.71560 | − | 9.89971i | −0.655624 | − | 1.13557i | ||||
\(77\) | 5.72335 | 0.652236 | ||||||||
\(78\) | −3.19618 | − | 0.103879i | −0.361896 | − | 0.0117620i | ||||
\(79\) | −1.38093 | + | 2.39183i | −0.155366 | + | 0.269102i | −0.933192 | − | 0.359377i | \(-0.882989\pi\) |
0.777826 | + | 0.628480i | \(0.216322\pi\) | |||||||
\(80\) | 1.91801 | 0.214440 | ||||||||
\(81\) | 1.25529 | + | 2.17423i | 0.139477 | + | 0.241581i | ||||
\(82\) | −0.0866022 | + | 0.149999i | −0.00956361 | + | 0.0165647i | ||||
\(83\) | 3.01958 | + | 5.23007i | 0.331442 | + | 0.574075i | 0.982795 | − | 0.184701i | \(-0.0591315\pi\) |
−0.651353 | + | 0.758775i | \(0.725798\pi\) | |||||||
\(84\) | −1.44994 | + | 2.51137i | −0.158202 | + | 0.274013i | ||||
\(85\) | −3.99474 | − | 6.91909i | −0.433290 | − | 0.750481i | ||||
\(86\) | 1.44198 | − | 2.49758i | 0.155493 | − | 0.269321i | ||||
\(87\) | 0.545863 | 0.0585226 | ||||||||
\(88\) | 9.10648 | 0.970754 | ||||||||
\(89\) | −1.28984 | + | 2.23407i | −0.136723 | + | 0.236811i | −0.926254 | − | 0.376899i | \(-0.876990\pi\) |
0.789532 | + | 0.613710i | \(0.210324\pi\) | |||||||
\(90\) | 0.829195 | − | 1.43621i | 0.0874048 | − | 0.151390i | ||||
\(91\) | 5.64315 | + | 0.183409i | 0.591563 | + | 0.0192264i | ||||
\(92\) | 4.72797 | 0.492924 | ||||||||
\(93\) | 5.35703 | + | 4.37705i | 0.555498 | + | 0.453878i | ||||
\(94\) | −4.28037 | + | 7.41382i | −0.441487 | + | 0.764677i | ||||
\(95\) | 6.11786 | + | 10.5964i | 0.627679 | + | 1.08717i | ||||
\(96\) | −3.62893 | + | 6.28549i | −0.370376 | + | 0.641510i | ||||
\(97\) | 0.0643701 | + | 0.111492i | 0.00653580 | + | 0.0113203i | 0.869275 | − | 0.494329i | \(-0.164586\pi\) |
−0.862739 | + | 0.505649i | \(0.831253\pi\) | |||||||
\(98\) | 1.62319 | − | 2.81145i | 0.163967 | − | 0.283999i | ||||
\(99\) | −2.66120 | + | 4.60933i | −0.267460 | + | 0.463255i | ||||
\(100\) | 3.65890 | 0.365890 | ||||||||
\(101\) | 0.127849 | − | 0.221440i | 0.0127214 | − | 0.0220342i | −0.859595 | − | 0.510977i | \(-0.829284\pi\) |
0.872316 | + | 0.488942i | \(0.162617\pi\) | |||||||
\(102\) | 4.44177 | 0.439801 | ||||||||
\(103\) | 1.12881 | + | 1.95515i | 0.111225 | + | 0.192647i | 0.916264 | − | 0.400574i | \(-0.131189\pi\) |
−0.805040 | + | 0.593221i | \(0.797856\pi\) | |||||||
\(104\) | 8.97888 | + | 0.291823i | 0.880451 | + | 0.0286156i | ||||
\(105\) | 1.55199 | − | 2.68812i | 0.151459 | − | 0.262334i | ||||
\(106\) | 2.72201 | 0.264385 | ||||||||
\(107\) | −4.50776 | − | 7.80766i | −0.435781 | − | 0.754795i | 0.561578 | − | 0.827424i | \(-0.310195\pi\) |
−0.997359 | + | 0.0726287i | \(0.976861\pi\) | |||||||
\(108\) | −4.12611 | − | 7.14663i | −0.397035 | − | 0.687685i | ||||
\(109\) | 14.0280 | 1.34364 | 0.671819 | − | 0.740715i | \(-0.265513\pi\) | ||||
0.671819 | + | 0.740715i | \(0.265513\pi\) | |||||||
\(110\) | −4.16219 | −0.396849 | ||||||||
\(111\) | −3.38006 | + | 5.85443i | −0.320821 | + | 0.555678i | ||||
\(112\) | 0.941345 | − | 1.63046i | 0.0889488 | − | 0.154064i | ||||
\(113\) | −4.08609 | + | 7.07732i | −0.384387 | + | 0.665778i | −0.991684 | − | 0.128697i | \(-0.958921\pi\) |
0.607297 | + | 0.794475i | \(0.292254\pi\) | |||||||
\(114\) | −6.80249 | −0.637111 | ||||||||
\(115\) | −5.06072 | −0.471914 | ||||||||
\(116\) | −0.654799 | −0.0607965 | ||||||||
\(117\) | −2.77161 | + | 4.45946i | −0.256236 | + | 0.412277i | ||||
\(118\) | 0.877405 | − | 1.51971i | 0.0807717 | − | 0.139901i | ||||
\(119\) | −7.84237 | −0.718908 | ||||||||
\(120\) | 2.46939 | − | 4.27710i | 0.225423 | − | 0.390444i | ||||
\(121\) | 2.35803 | 0.214366 | ||||||||
\(122\) | −0.140029 | −0.0126776 | ||||||||
\(123\) | −0.150736 | − | 0.261083i | −0.0135914 | − | 0.0235410i | ||||
\(124\) | −6.42611 | − | 5.25056i | −0.577082 | − | 0.471514i | ||||
\(125\) | −11.8931 | −1.06375 | ||||||||
\(126\) | −0.813927 | − | 1.40976i | −0.0725103 | − | 0.125592i | ||||
\(127\) | −8.09680 | − | 14.0241i | −0.718475 | − | 1.24444i | −0.961604 | − | 0.274441i | \(-0.911507\pi\) |
0.243129 | − | 0.969994i | \(-0.421826\pi\) | |||||||
\(128\) | 5.21136 | − | 9.02634i | 0.460624 | − | 0.797823i | ||||
\(129\) | 2.50985 | + | 4.34718i | 0.220980 | + | 0.382748i | ||||
\(130\) | −4.10387 | − | 0.133380i | −0.359933 | − | 0.0116982i | ||||
\(131\) | −10.0679 | + | 17.4381i | −0.879634 | + | 1.52357i | −0.0278918 | + | 0.999611i | \(0.508879\pi\) |
−0.851743 | + | 0.523961i | \(0.824454\pi\) | |||||||
\(132\) | −3.38409 | + | 5.86142i | −0.294548 | + | 0.510172i | ||||
\(133\) | 12.0104 | 1.04144 | ||||||||
\(134\) | −5.14347 | + | 8.90874i | −0.444328 | + | 0.769598i | ||||
\(135\) | 4.41651 | + | 7.64961i | 0.380112 | + | 0.658374i | ||||
\(136\) | −12.4781 | −1.06999 | ||||||||
\(137\) | 10.1461 | − | 17.5736i | 0.866843 | − | 1.50142i | 0.00163788 | − | 0.999999i | \(-0.499479\pi\) |
0.865205 | − | 0.501418i | \(-0.167188\pi\) | |||||||
\(138\) | 1.40676 | − | 2.43658i | 0.119751 | − | 0.207415i | ||||
\(139\) | 5.50170 | + | 9.52923i | 0.466648 | + | 0.808259i | 0.999274 | − | 0.0380920i | \(-0.0121280\pi\) |
−0.532626 | + | 0.846351i | \(0.678795\pi\) | |||||||
\(140\) | −1.86171 | + | 3.22458i | −0.157344 | + | 0.272527i | ||||
\(141\) | −7.45023 | − | 12.9042i | −0.627423 | − | 1.08673i | ||||
\(142\) | 0.349158 | + | 0.604759i | 0.0293007 | + | 0.0507503i | ||||
\(143\) | 13.1708 | + | 0.428067i | 1.10140 | + | 0.0357967i | ||||
\(144\) | 0.875398 | + | 1.51623i | 0.0729498 | + | 0.126353i | ||||
\(145\) | 0.700883 | 0.0582052 | ||||||||
\(146\) | −8.42488 | −0.697248 | ||||||||
\(147\) | 2.82526 | + | 4.89349i | 0.233024 | + | 0.403609i | ||||
\(148\) | 4.05460 | − | 7.02278i | 0.333286 | − | 0.577269i | ||||
\(149\) | 9.72953 | 0.797074 | 0.398537 | − | 0.917152i | \(-0.369518\pi\) | ||||
0.398537 | + | 0.917152i | \(0.369518\pi\) | |||||||
\(150\) | 1.08867 | − | 1.88563i | 0.0888895 | − | 0.153961i | ||||
\(151\) | −19.4285 | −1.58107 | −0.790534 | − | 0.612418i | \(-0.790197\pi\) | ||||
−0.790534 | + | 0.612418i | \(0.790197\pi\) | |||||||
\(152\) | 19.1099 | 1.55002 | ||||||||
\(153\) | 3.64648 | − | 6.31588i | 0.294800 | − | 0.510609i | ||||
\(154\) | −2.04277 | + | 3.53819i | −0.164611 | + | 0.285115i | ||||
\(155\) | 6.87838 | + | 5.62009i | 0.552485 | + | 0.451416i | ||||
\(156\) | −3.52451 | + | 5.67084i | −0.282186 | + | 0.454031i | ||||
\(157\) | −15.4971 | −1.23681 | −0.618403 | − | 0.785861i | \(-0.712220\pi\) | ||||
−0.618403 | + | 0.785861i | \(0.712220\pi\) | |||||||
\(158\) | −0.985758 | − | 1.70738i | −0.0784227 | − | 0.135832i | ||||
\(159\) | −2.36891 | + | 4.10306i | −0.187866 | + | 0.325394i | ||||
\(160\) | −4.65951 | + | 8.07051i | −0.368367 | + | 0.638030i | ||||
\(161\) | −2.48377 | + | 4.30201i | −0.195748 | + | 0.339046i | ||||
\(162\) | −1.79215 | −0.140805 | ||||||||
\(163\) | 0.916014 | + | 1.58658i | 0.0717477 | + | 0.124271i | 0.899667 | − | 0.436576i | \(-0.143809\pi\) |
−0.827920 | + | 0.560847i | \(0.810476\pi\) | |||||||
\(164\) | 0.180818 | + | 0.313186i | 0.0141195 | + | 0.0244557i | ||||
\(165\) | 3.62227 | − | 6.27395i | 0.281993 | − | 0.488426i | ||||
\(166\) | −4.31099 | −0.334598 | ||||||||
\(167\) | −3.23179 | − | 5.59763i | −0.250083 | − | 0.433157i | 0.713465 | − | 0.700691i | \(-0.247125\pi\) |
−0.963549 | + | 0.267534i | \(0.913791\pi\) | |||||||
\(168\) | −2.42392 | − | 4.19834i | −0.187009 | − | 0.323909i | ||||
\(169\) | 12.9726 | + | 0.844136i | 0.997890 | + | 0.0649336i | ||||
\(170\) | 5.70320 | 0.437415 | ||||||||
\(171\) | −5.58451 | + | 9.67265i | −0.427058 | + | 0.739686i | ||||
\(172\) | −3.01073 | − | 5.21473i | −0.229566 | − | 0.397620i | ||||
\(173\) | 6.99361 | − | 12.1133i | 0.531715 | − | 0.920957i | −0.467600 | − | 0.883940i | \(-0.654881\pi\) |
0.999315 | − | 0.0370165i | \(-0.0117854\pi\) | |||||||
\(174\) | −0.194829 | + | 0.337454i | −0.0147700 | + | 0.0255823i | ||||
\(175\) | −1.92215 | + | 3.32926i | −0.145301 | + | 0.251668i | ||||
\(176\) | 2.19705 | − | 3.80541i | 0.165609 | − | 0.286844i | ||||
\(177\) | 1.52717 | + | 2.64514i | 0.114789 | + | 0.198821i | ||||
\(178\) | −0.920737 | − | 1.59476i | −0.0690121 | − | 0.119533i | ||||
\(179\) | −10.6721 | − | 18.4846i | −0.797670 | − | 1.38160i | −0.921130 | − | 0.389255i | \(-0.872733\pi\) |
0.123460 | − | 0.992349i | \(-0.460601\pi\) | |||||||
\(180\) | −1.73129 | − | 2.99868i | −0.129043 | − | 0.223508i | ||||
\(181\) | −8.27077 | − | 14.3254i | −0.614762 | − | 1.06480i | −0.990426 | − | 0.138043i | \(-0.955919\pi\) |
0.375664 | − | 0.926756i | \(-0.377415\pi\) | |||||||
\(182\) | −2.12753 | + | 3.42315i | −0.157703 | + | 0.253741i | ||||
\(183\) | 0.121864 | − | 0.211075i | 0.00900848 | − | 0.0156031i | ||||
\(184\) | −3.95195 | + | 6.84497i | −0.291341 | + | 0.504618i | ||||
\(185\) | −4.33997 | + | 7.51704i | −0.319081 | + | 0.552664i | ||||
\(186\) | −4.61793 | + | 1.74947i | −0.338603 | + | 0.128278i | ||||
\(187\) | −18.3037 | −1.33850 | ||||||||
\(188\) | 8.93705 | + | 15.4794i | 0.651801 | + | 1.12895i | ||||
\(189\) | 8.67036 | 0.630676 | ||||||||
\(190\) | −8.73433 | −0.633655 | ||||||||
\(191\) | 11.9452 | − | 20.6897i | 0.864326 | − | 1.49706i | −0.00338827 | − | 0.999994i | \(-0.501079\pi\) |
0.867715 | − | 0.497063i | \(-0.165588\pi\) | |||||||
\(192\) | −1.09668 | − | 1.89951i | −0.0791463 | − | 0.137085i | ||||
\(193\) | −12.2150 | − | 21.1571i | −0.879258 | − | 1.52292i | −0.852156 | − | 0.523287i | \(-0.824705\pi\) |
−0.0271020 | − | 0.999633i | \(-0.508628\pi\) | |||||||
\(194\) | −0.0918998 | −0.00659802 | ||||||||
\(195\) | 3.77256 | − | 6.06996i | 0.270159 | − | 0.434679i | ||||
\(196\) | −3.38909 | − | 5.87007i | −0.242078 | − | 0.419291i | ||||
\(197\) | −8.86551 | −0.631642 | −0.315821 | − | 0.948819i | \(-0.602280\pi\) | ||||
−0.315821 | + | 0.948819i | \(0.602280\pi\) | |||||||
\(198\) | −1.89967 | − | 3.29032i | −0.135003 | − | 0.233833i | ||||
\(199\) | −0.0108343 | + | 0.0187656i | −0.000768026 | + | 0.00133026i | −0.866409 | − | 0.499335i | \(-0.833578\pi\) |
0.865641 | + | 0.500665i | \(0.166911\pi\) | |||||||
\(200\) | −3.05835 | + | 5.29721i | −0.216258 | + | 0.374570i | ||||
\(201\) | −8.95250 | − | 15.5062i | −0.631461 | − | 1.09372i | ||||
\(202\) | 0.0912634 | + | 0.158073i | 0.00642127 | + | 0.0111220i | ||||
\(203\) | 0.343989 | − | 0.595806i | 0.0241433 | − | 0.0418174i | ||||
\(204\) | 4.63702 | − | 8.03156i | 0.324656 | − | 0.562321i | ||||
\(205\) | −0.193544 | − | 0.335228i | −0.0135177 | − | 0.0234133i | ||||
\(206\) | −1.61157 | −0.112284 | ||||||||
\(207\) | −2.30976 | − | 4.00063i | −0.160540 | − | 0.278063i | ||||
\(208\) | 2.28821 | − | 3.68168i | 0.158659 | − | 0.255278i | ||||
\(209\) | 28.0317 | 1.93900 | ||||||||
\(210\) | 1.10787 | + | 1.91889i | 0.0764503 | + | 0.132416i | ||||
\(211\) | 10.7378 | + | 18.5985i | 0.739223 | + | 1.28037i | 0.952846 | + | 0.303456i | \(0.0981404\pi\) |
−0.213623 | + | 0.976916i | \(0.568526\pi\) | |||||||
\(212\) | 2.84166 | − | 4.92190i | 0.195166 | − | 0.338037i | ||||
\(213\) | −1.21546 | −0.0832819 | ||||||||
\(214\) | 6.43562 | 0.439930 | ||||||||
\(215\) | 3.22262 | + | 5.58174i | 0.219781 | + | 0.380672i | ||||
\(216\) | 13.7955 | 0.938665 | ||||||||
\(217\) | 8.15338 | − | 3.08886i | 0.553488 | − | 0.209686i | ||||
\(218\) | −5.00686 | + | 8.67214i | −0.339108 | + | 0.587352i | ||||
\(219\) | 7.33200 | − | 12.6994i | 0.495450 | − | 0.858145i | ||||
\(220\) | −4.34515 | + | 7.52602i | −0.292950 | + | 0.507404i | ||||
\(221\) | −18.0472 | − | 0.586554i | −1.21399 | − | 0.0394559i | ||||
\(222\) | −2.41282 | − | 4.17912i | −0.161938 | − | 0.280484i | ||||
\(223\) | −11.9539 | − | 20.7048i | −0.800495 | − | 1.38650i | −0.919291 | − | 0.393579i | \(-0.871237\pi\) |
0.118796 | − | 0.992919i | \(-0.462096\pi\) | |||||||
\(224\) | 4.57371 | + | 7.92190i | 0.305594 | + | 0.529304i | ||||
\(225\) | −1.78749 | − | 3.09602i | −0.119166 | − | 0.206401i | ||||
\(226\) | −2.91681 | − | 5.05206i | −0.194023 | − | 0.336058i | ||||
\(227\) | 5.56674 | − | 9.64188i | 0.369477 | − | 0.639954i | −0.620006 | − | 0.784597i | \(-0.712870\pi\) |
0.989484 | + | 0.144643i | \(0.0462034\pi\) | |||||||
\(228\) | −7.10150 | + | 12.3002i | −0.470309 | + | 0.814598i | ||||
\(229\) | −9.66242 | + | 16.7358i | −0.638511 | + | 1.10593i | 0.347249 | + | 0.937773i | \(0.387116\pi\) |
−0.985760 | + | 0.168160i | \(0.946217\pi\) | |||||||
\(230\) | 1.80627 | − | 3.12855i | 0.119102 | − | 0.206290i | ||||
\(231\) | −3.55557 | − | 6.15842i | −0.233939 | − | 0.405195i | ||||
\(232\) | 0.547324 | − | 0.947993i | 0.0359336 | − | 0.0622388i | ||||
\(233\) | 15.8822 | 1.04047 | 0.520237 | − | 0.854022i | \(-0.325844\pi\) | ||||
0.520237 | + | 0.854022i | \(0.325844\pi\) | |||||||
\(234\) | −1.76761 | − | 3.30509i | −0.115552 | − | 0.216060i | ||||
\(235\) | −9.56604 | − | 16.5689i | −0.624019 | − | 1.08083i | ||||
\(236\) | −1.83195 | − | 3.17303i | −0.119250 | − | 0.206546i | ||||
\(237\) | 3.43154 | 0.222902 | ||||||||
\(238\) | 2.79909 | − | 4.84817i | 0.181438 | − | 0.314260i | ||||
\(239\) | −12.3475 | − | 21.3865i | −0.798692 | − | 1.38338i | −0.920468 | − | 0.390818i | \(-0.872192\pi\) |
0.121776 | − | 0.992558i | \(-0.461141\pi\) | |||||||
\(240\) | −1.19154 | − | 2.06381i | −0.0769136 | − | 0.133218i | ||||
\(241\) | −0.108553 | −0.00699254 | −0.00349627 | − | 0.999994i | \(-0.501113\pi\) | ||||
−0.00349627 | + | 0.999994i | \(0.501113\pi\) | |||||||
\(242\) | −0.841625 | + | 1.45774i | −0.0541017 | + | 0.0937069i | ||||
\(243\) | −6.74551 | + | 11.6836i | −0.432725 | + | 0.749501i | ||||
\(244\) | −0.146184 | + | 0.253199i | −0.00935850 | + | 0.0162094i | ||||
\(245\) | 3.62761 | + | 6.28321i | 0.231760 | + | 0.401419i | ||||
\(246\) | 0.215203 | 0.0137208 | ||||||||
\(247\) | 27.6389 | + | 0.898296i | 1.75862 | + | 0.0571572i | ||||
\(248\) | 12.9729 | − | 4.91472i | 0.823782 | − | 0.312085i | ||||
\(249\) | 3.75176 | − | 6.49824i | 0.237758 | − | 0.411809i | ||||
\(250\) | 4.24486 | − | 7.35232i | 0.268469 | − | 0.465002i | ||||
\(251\) | −10.9896 | −0.693656 | −0.346828 | − | 0.937929i | \(-0.612741\pi\) | ||||
−0.346828 | + | 0.937929i | \(0.612741\pi\) | |||||||
\(252\) | −3.39882 | −0.214105 | ||||||||
\(253\) | −5.79699 | + | 10.0407i | −0.364454 | + | 0.631252i | ||||
\(254\) | 11.5596 | 0.725315 | ||||||||
\(255\) | −4.96337 | + | 8.59682i | −0.310819 | + | 0.538354i | ||||
\(256\) | 5.48539 | + | 9.50097i | 0.342837 | + | 0.593811i | ||||
\(257\) | 6.37217 | 0.397485 | 0.198742 | − | 0.980052i | \(-0.436314\pi\) | ||||
0.198742 | + | 0.980052i | \(0.436314\pi\) | |||||||
\(258\) | −3.58325 | −0.223083 | ||||||||
\(259\) | 4.26005 | + | 7.37863i | 0.264707 | + | 0.458485i | ||||
\(260\) | −4.52544 | + | 7.28132i | −0.280656 | + | 0.451568i | ||||
\(261\) | 0.319890 | + | 0.554066i | 0.0198007 | + | 0.0342958i | ||||
\(262\) | −7.18684 | − | 12.4480i | −0.444004 | − | 0.769038i | ||||
\(263\) | −11.2345 | + | 19.4588i | −0.692752 | + | 1.19988i | 0.278181 | + | 0.960529i | \(0.410268\pi\) |
−0.970933 | + | 0.239352i | \(0.923065\pi\) | |||||||
\(264\) | −5.65730 | − | 9.79873i | −0.348183 | − | 0.603070i | ||||
\(265\) | −3.04165 | + | 5.26830i | −0.186847 | + | 0.323629i | ||||
\(266\) | −4.28675 | + | 7.42487i | −0.262838 | + | 0.455248i | ||||
\(267\) | 3.20519 | 0.196154 | ||||||||
\(268\) | 10.7391 | + | 18.6007i | 0.655996 | + | 1.13622i | ||||
\(269\) | 3.26244 | − | 5.65071i | 0.198914 | − | 0.344530i | −0.749262 | − | 0.662273i | \(-0.769592\pi\) |
0.948177 | + | 0.317743i | \(0.102925\pi\) | |||||||
\(270\) | −6.30534 | −0.383731 | ||||||||
\(271\) | −2.63065 | + | 4.55641i | −0.159800 | + | 0.276782i | −0.934797 | − | 0.355184i | \(-0.884418\pi\) |
0.774996 | + | 0.631966i | \(0.217752\pi\) | |||||||
\(272\) | −3.01049 | + | 5.21432i | −0.182538 | + | 0.316165i | ||||
\(273\) | −3.30839 | − | 6.18607i | −0.200233 | − | 0.374398i | ||||
\(274\) | 7.24271 | + | 12.5447i | 0.437548 | + | 0.757855i | ||||
\(275\) | −4.48620 | + | 7.77032i | −0.270528 | + | 0.468568i | ||||
\(276\) | −2.93720 | − | 5.08737i | −0.176798 | − | 0.306224i | ||||
\(277\) | −4.36514 | − | 7.56064i | −0.262276 | − | 0.454275i | 0.704571 | − | 0.709634i | \(-0.251140\pi\) |
−0.966846 | + | 0.255359i | \(0.917806\pi\) | |||||||
\(278\) | −7.85466 | −0.471091 | ||||||||
\(279\) | −1.30346 | + | 8.00260i | −0.0780363 | + | 0.479103i | ||||
\(280\) | −3.11229 | − | 5.39064i | −0.185995 | − | 0.322152i | ||||
\(281\) | −14.0402 | −0.837570 | −0.418785 | − | 0.908085i | \(-0.637544\pi\) | ||||
−0.418785 | + | 0.908085i | \(0.637544\pi\) | |||||||
\(282\) | 10.6365 | 0.633396 | ||||||||
\(283\) | −12.2606 | + | 21.2359i | −0.728815 | + | 1.26234i | 0.228570 | + | 0.973528i | \(0.426595\pi\) |
−0.957384 | + | 0.288817i | \(0.906738\pi\) | |||||||
\(284\) | 1.45802 | 0.0865178 | ||||||||
\(285\) | 7.60131 | − | 13.1658i | 0.450263 | − | 0.779878i | ||||
\(286\) | −4.96556 | + | 7.98946i | −0.293620 | + | 0.472427i | ||||
\(287\) | −0.379960 | −0.0224283 | ||||||||
\(288\) | −8.50659 | −0.501256 | ||||||||
\(289\) | 8.08046 | 0.475321 | ||||||||
\(290\) | −0.250159 | + | 0.433288i | −0.0146898 | + | 0.0254435i | ||||
\(291\) | 0.0799784 | − | 0.138527i | 0.00468842 | − | 0.00812058i | ||||
\(292\) | −8.79522 | + | 15.2338i | −0.514701 | + | 0.891489i | ||||
\(293\) | 2.81629 | 0.164529 | 0.0822646 | − | 0.996611i | \(-0.473785\pi\) | ||||
0.0822646 | + | 0.996611i | \(0.473785\pi\) | |||||||
\(294\) | −4.03356 | −0.235242 | ||||||||
\(295\) | 1.96088 | + | 3.39634i | 0.114167 | + | 0.197743i | ||||
\(296\) | 6.77821 | + | 11.7402i | 0.393976 | + | 0.682386i | ||||
\(297\) | 20.2362 | 1.17422 | ||||||||
\(298\) | −3.47266 | + | 6.01482i | −0.201166 | + | 0.348429i | ||||
\(299\) | −6.03752 | + | 9.71422i | −0.349159 | + | 0.561788i | ||||
\(300\) | −2.27305 | − | 3.93704i | −0.131235 | − | 0.227305i | ||||
\(301\) | 6.32656 | 0.364657 | ||||||||
\(302\) | 6.93440 | − | 12.0107i | 0.399030 | − | 0.691140i | ||||
\(303\) | −0.317698 | −0.0182513 | ||||||||
\(304\) | 4.61051 | − | 7.98563i | 0.264431 | − | 0.458007i | ||||
\(305\) | 0.156473 | − | 0.271019i | 0.00895961 | − | 0.0155185i | ||||
\(306\) | 2.60300 | + | 4.50852i | 0.148803 | + | 0.257735i | ||||
\(307\) | 8.38436 | − | 14.5221i | 0.478521 | − | 0.828822i | −0.521176 | − | 0.853449i | \(-0.674507\pi\) |
0.999697 | + | 0.0246272i | \(0.00783988\pi\) | |||||||
\(308\) | 4.26514 | + | 7.38744i | 0.243029 | + | 0.420938i | ||||
\(309\) | 1.40252 | − | 2.42923i | 0.0797865 | − | 0.138194i | ||||
\(310\) | −5.92938 | + | 2.24631i | −0.336766 | + | 0.127582i | ||||
\(311\) | −17.9951 | −1.02041 | −0.510206 | − | 0.860052i | \(-0.670431\pi\) | ||||
−0.510206 | + | 0.860052i | \(0.670431\pi\) | |||||||
\(312\) | −5.26402 | − | 9.84272i | −0.298016 | − | 0.557234i | ||||
\(313\) | −10.9672 | + | 18.9957i | −0.619900 | + | 1.07370i | 0.369603 | + | 0.929190i | \(0.379494\pi\) |
−0.989503 | + | 0.144509i | \(0.953840\pi\) | |||||||
\(314\) | 5.53123 | − | 9.58036i | 0.312145 | − | 0.540651i | ||||
\(315\) | 3.63803 | 0.204980 | ||||||||
\(316\) | −4.11636 | −0.231563 | ||||||||
\(317\) | −10.3786 | + | 17.9763i | −0.582922 | + | 1.00965i | 0.412209 | + | 0.911089i | \(0.364757\pi\) |
−0.995131 | + | 0.0985608i | \(0.968576\pi\) | |||||||
\(318\) | −1.69102 | − | 2.92893i | −0.0948275 | − | 0.164246i | ||||
\(319\) | 0.802853 | − | 1.39058i | 0.0449512 | − | 0.0778577i | ||||
\(320\) | −1.40813 | − | 2.43896i | −0.0787170 | − | 0.136342i | ||||
\(321\) | −5.60079 | + | 9.70084i | −0.312605 | + | 0.541448i | ||||
\(322\) | −1.77301 | − | 3.07094i | −0.0988059 | − | 0.171137i | ||||
\(323\) | −38.4102 | −2.13720 | ||||||||
\(324\) | −1.87093 | + | 3.24055i | −0.103941 | + | 0.180031i | ||||
\(325\) | −4.67234 | + | 7.51768i | −0.259175 | + | 0.417006i | ||||
\(326\) | −1.30777 | −0.0724308 | ||||||||
\(327\) | −8.71474 | − | 15.0944i | −0.481926 | − | 0.834720i | ||||
\(328\) | −0.604558 | −0.0333812 | ||||||||
\(329\) | −18.7798 | −1.03536 | ||||||||
\(330\) | 2.58571 | + | 4.47859i | 0.142339 | + | 0.246538i | ||||
\(331\) | 7.36011 | − | 12.7481i | 0.404548 | − | 0.700698i | −0.589721 | − | 0.807607i | \(-0.700762\pi\) |
0.994269 | + | 0.106909i | \(0.0340955\pi\) | |||||||
\(332\) | −4.50049 | + | 7.79507i | −0.246996 | + | 0.427810i | ||||
\(333\) | −7.92321 | −0.434189 | ||||||||
\(334\) | 4.61395 | 0.252464 | ||||||||
\(335\) | −11.4949 | − | 19.9098i | −0.628035 | − | 1.08779i | ||||
\(336\) | −2.33920 | −0.127614 | ||||||||
\(337\) | 7.00984 | 0.381850 | 0.190925 | − | 0.981605i | \(-0.438851\pi\) | ||||
0.190925 | + | 0.981605i | \(0.438851\pi\) | |||||||
\(338\) | −5.15201 | + | 7.71838i | −0.280232 | + | 0.419825i | ||||
\(339\) | 10.1538 | 0.551476 | ||||||||
\(340\) | 5.95390 | − | 10.3125i | 0.322895 | − | 0.559271i | ||||
\(341\) | 19.0296 | − | 7.20925i | 1.03051 | − | 0.390403i | ||||
\(342\) | −3.98644 | − | 6.90471i | −0.215562 | − | 0.373364i | ||||
\(343\) | 18.0833 | 0.976407 | ||||||||
\(344\) | 10.0663 | 0.542736 | ||||||||
\(345\) | 3.14391 | + | 5.44542i | 0.169263 | + | 0.293172i | ||||
\(346\) | 4.99231 | + | 8.64694i | 0.268388 | + | 0.464862i | ||||
\(347\) | 0.230959 | 0.0123985 | 0.00619925 | − | 0.999981i | \(-0.498027\pi\) | ||||
0.00619925 | + | 0.999981i | \(0.498027\pi\) | |||||||
\(348\) | 0.406786 | + | 0.704575i | 0.0218060 | + | 0.0377692i | ||||
\(349\) | 4.37225 | − | 7.57296i | 0.234041 | − | 0.405371i | −0.724952 | − | 0.688799i | \(-0.758138\pi\) |
0.958994 | + | 0.283428i | \(0.0914716\pi\) | |||||||
\(350\) | −1.37210 | − | 2.37655i | −0.0733420 | − | 0.127032i | ||||
\(351\) | 19.9526 | + | 0.648483i | 1.06499 | + | 0.0346134i | ||||
\(352\) | 10.6748 | + | 18.4893i | 0.568970 | + | 0.985485i | ||||
\(353\) | −7.51965 | − | 13.0244i | −0.400230 | − | 0.693219i | 0.593523 | − | 0.804817i | \(-0.297737\pi\) |
−0.993753 | + | 0.111598i | \(0.964403\pi\) | |||||||
\(354\) | −2.18031 | −0.115882 | ||||||||
\(355\) | −1.56064 | −0.0828302 | ||||||||
\(356\) | −3.84484 | −0.203776 | ||||||||
\(357\) | 4.87198 | + | 8.43852i | 0.257853 | + | 0.446614i | ||||
\(358\) | 15.2363 | 0.805264 | ||||||||
\(359\) | 11.7636 | + | 20.3752i | 0.620859 | + | 1.07536i | 0.989326 | + | 0.145719i | \(0.0465494\pi\) |
−0.368467 | + | 0.929641i | \(0.620117\pi\) | |||||||
\(360\) | 5.78850 | 0.305081 | ||||||||
\(361\) | 39.8245 | 2.09602 | ||||||||
\(362\) | 11.8080 | 0.620615 | ||||||||
\(363\) | −1.46490 | − | 2.53728i | −0.0768872 | − | 0.133172i | ||||
\(364\) | 3.96864 | + | 7.42060i | 0.208013 | + | 0.388945i | ||||
\(365\) | 9.41422 | − | 16.3059i | 0.492763 | − | 0.853490i | ||||
\(366\) | 0.0869915 | + | 0.150674i | 0.00454712 | + | 0.00787584i | ||||
\(367\) | −8.44865 | −0.441016 | −0.220508 | − | 0.975385i | \(-0.570771\pi\) | ||||
−0.220508 | + | 0.975385i | \(0.570771\pi\) | |||||||
\(368\) | 1.90691 | + | 3.30287i | 0.0994047 | + | 0.172174i | ||||
\(369\) | 0.176671 | − | 0.306003i | 0.00919711 | − | 0.0159299i | ||||
\(370\) | −3.09804 | − | 5.36595i | −0.161059 | − | 0.278963i | ||||
\(371\) | 2.98565 | + | 5.17129i | 0.155007 | + | 0.268480i | ||||
\(372\) | −1.65754 | + | 10.1765i | −0.0859395 | + | 0.527625i | ||||
\(373\) | 5.00135 | + | 8.66259i | 0.258960 | + | 0.448532i | 0.965964 | − | 0.258678i | \(-0.0832869\pi\) |
−0.707004 | + | 0.707210i | \(0.749954\pi\) | |||||||
\(374\) | 6.53294 | − | 11.3154i | 0.337811 | − | 0.585105i | ||||
\(375\) | 7.38843 | + | 12.7971i | 0.381537 | + | 0.660841i | ||||
\(376\) | −29.8807 | −1.54098 | ||||||||
\(377\) | 0.836165 | − | 1.34537i | 0.0430647 | − | 0.0692900i | ||||
\(378\) | −3.09462 | + | 5.36004i | −0.159170 | + | 0.275691i | ||||
\(379\) | 14.1026 | + | 24.4264i | 0.724400 | + | 1.25470i | 0.959220 | + | 0.282659i | \(0.0912164\pi\) |
−0.234820 | + | 0.972039i | \(0.575450\pi\) | |||||||
\(380\) | −9.11827 | + | 15.7933i | −0.467758 | + | 0.810180i | ||||
\(381\) | −10.0601 | + | 17.4246i | −0.515394 | + | 0.892689i | ||||
\(382\) | 8.52697 | + | 14.7691i | 0.436277 | + | 0.755655i | ||||
\(383\) | 3.54657 | − | 6.14284i | 0.181221 | − | 0.313885i | −0.761075 | − | 0.648663i | \(-0.775328\pi\) |
0.942297 | + | 0.334779i | \(0.108662\pi\) | |||||||
\(384\) | −12.9500 | −0.660852 | ||||||||
\(385\) | −4.56532 | − | 7.90737i | −0.232670 | − | 0.402997i | ||||
\(386\) | 17.4391 | 0.887629 | ||||||||
\(387\) | −2.94167 | + | 5.09513i | −0.149534 | + | 0.259000i | ||||
\(388\) | −0.0959394 | + | 0.166172i | −0.00487059 | + | 0.00843610i | ||||
\(389\) | 13.6034 | − | 23.5618i | 0.689719 | − | 1.19463i | −0.282209 | − | 0.959353i | \(-0.591067\pi\) |
0.971929 | − | 0.235276i | \(-0.0755994\pi\) | |||||||
\(390\) | 2.40596 | + | 4.49869i | 0.121831 | + | 0.227800i | ||||
\(391\) | 7.94327 | − | 13.7581i | 0.401708 | − | 0.695779i | ||||
\(392\) | 11.3313 | 0.572317 | ||||||||
\(393\) | 25.0182 | 1.26200 | ||||||||
\(394\) | 3.16427 | − | 5.48068i | 0.159414 | − | 0.276113i | ||||
\(395\) | 4.40607 | 0.221693 | ||||||||
\(396\) | −7.93268 | −0.398632 | ||||||||
\(397\) | 32.8860 | 1.65050 | 0.825251 | − | 0.564766i | \(-0.191034\pi\) | ||||
0.825251 | + | 0.564766i | \(0.191034\pi\) | |||||||
\(398\) | −0.00773397 | − | 0.0133956i | −0.000387669 | − | 0.000671462i | ||||
\(399\) | −7.46134 | − | 12.9234i | −0.373534 | − | 0.646980i | ||||
\(400\) | 1.47573 | + | 2.55604i | 0.0737865 | + | 0.127802i | ||||
\(401\) | 3.64493 | − | 6.31320i | 0.182019 | − | 0.315266i | −0.760549 | − | 0.649281i | \(-0.775070\pi\) |
0.942568 | + | 0.334015i | \(0.108403\pi\) | |||||||
\(402\) | 12.7813 | 0.637472 | ||||||||
\(403\) | 18.9940 | − | 6.49841i | 0.946157 | − | 0.323709i | ||||
\(404\) | 0.381100 | 0.0189604 | ||||||||
\(405\) | 2.00261 | − | 3.46862i | 0.0995105 | − | 0.172357i | ||||
\(406\) | 0.245553 | + | 0.425309i | 0.0121866 | + | 0.0211078i | ||||
\(407\) | 9.94275 | + | 17.2214i | 0.492844 | + | 0.853631i | ||||
\(408\) | 7.75186 | + | 13.4266i | 0.383774 | + | 0.664716i | ||||
\(409\) | −4.82651 | −0.238655 | −0.119328 | − | 0.992855i | \(-0.538074\pi\) | ||||
−0.119328 | + | 0.992855i | \(0.538074\pi\) | |||||||
\(410\) | 0.276318 | 0.0136464 | ||||||||
\(411\) | −25.2127 | −1.24365 | ||||||||
\(412\) | −1.68241 | + | 2.91403i | −0.0828866 | + | 0.143564i | ||||
\(413\) | 3.84955 | 0.189424 | ||||||||
\(414\) | 3.29759 | 0.162068 | ||||||||
\(415\) | 4.81723 | − | 8.34369i | 0.236469 | − | 0.409576i | ||||
\(416\) | 9.93274 | + | 18.5723i | 0.486993 | + | 0.910584i | ||||
\(417\) | 6.83574 | − | 11.8399i | 0.334748 | − | 0.579800i | ||||
\(418\) | −10.0051 | + | 17.3293i | −0.489364 | + | 0.847603i | ||||
\(419\) | 14.9130 | − | 25.8301i | 0.728548 | − | 1.26188i | −0.228948 | − | 0.973439i | \(-0.573529\pi\) |
0.957497 | − | 0.288444i | \(-0.0931379\pi\) | |||||||
\(420\) | 4.62627 | 0.225739 | ||||||||
\(421\) | −4.75749 | − | 8.24021i | −0.231866 | − | 0.401603i | 0.726491 | − | 0.687176i | \(-0.241150\pi\) |
−0.958357 | + | 0.285572i | \(0.907816\pi\) | |||||||
\(422\) | −15.3302 | −0.746261 | ||||||||
\(423\) | 8.73207 | − | 15.1244i | 0.424568 | − | 0.735373i | ||||
\(424\) | 4.75049 | + | 8.22809i | 0.230704 | + | 0.399592i | ||||
\(425\) | 6.14717 | − | 10.6472i | 0.298181 | − | 0.516465i | ||||
\(426\) | 0.433821 | − | 0.751400i | 0.0210187 | − | 0.0364055i | ||||
\(427\) | −0.153592 | − | 0.266029i | −0.00743282 | − | 0.0128740i | ||||
\(428\) | 6.71851 | − | 11.6368i | 0.324752 | − | 0.562486i | ||||
\(429\) | −7.72163 | − | 14.4380i | −0.372804 | − | 0.697072i | ||||
\(430\) | −4.60086 | −0.221873 | ||||||||
\(431\) | 2.15920 | + | 3.73984i | 0.104005 | + | 0.180142i | 0.913331 | − | 0.407217i | \(-0.133501\pi\) |
−0.809326 | + | 0.587359i | \(0.800168\pi\) | |||||||
\(432\) | 3.32834 | − | 5.76485i | 0.160135 | − | 0.277362i | ||||
\(433\) | −14.1832 | − | 24.5660i | −0.681601 | − | 1.18057i | −0.974492 | − | 0.224422i | \(-0.927951\pi\) |
0.292891 | − | 0.956146i | \(-0.405383\pi\) | |||||||
\(434\) | −1.00056 | + | 6.14291i | −0.0480283 | + | 0.294869i | ||||
\(435\) | −0.435416 | − | 0.754163i | −0.0208766 | − | 0.0361593i | ||||
\(436\) | 10.4539 | + | 18.1067i | 0.500651 | + | 0.867153i | ||||
\(437\) | −12.1650 | + | 21.0703i | −0.581929 | + | 1.00793i | ||||
\(438\) | 5.23386 | + | 9.06532i | 0.250084 | + | 0.433158i | ||||
\(439\) | −22.0253 | −1.05121 | −0.525606 | − | 0.850728i | \(-0.676161\pi\) | ||||
−0.525606 | + | 0.850728i | \(0.676161\pi\) | |||||||
\(440\) | −7.26393 | − | 12.5815i | −0.346294 | − | 0.599799i | ||||
\(441\) | −3.31135 | + | 5.73543i | −0.157684 | + | 0.273116i | ||||
\(442\) | 6.80401 | − | 10.9475i | 0.323634 | − | 0.520718i | ||||
\(443\) | −0.430461 | − | 0.745581i | −0.0204518 | − | 0.0354236i | 0.855618 | − | 0.517607i | \(-0.173177\pi\) |
−0.876070 | + | 0.482184i | \(0.839844\pi\) | |||||||
\(444\) | −10.0755 | −0.478162 | ||||||||
\(445\) | 4.11544 | 0.195090 | ||||||||
\(446\) | 17.0664 | 0.808115 | ||||||||
\(447\) | −6.04436 | − | 10.4691i | −0.285889 | − | 0.495174i | ||||
\(448\) | −2.76441 | −0.130606 | ||||||||
\(449\) | −8.30003 | − | 14.3761i | −0.391702 | − | 0.678449i | 0.600972 | − | 0.799270i | \(-0.294780\pi\) |
−0.992674 | + | 0.120822i | \(0.961447\pi\) | |||||||
\(450\) | 2.55196 | 0.120300 | ||||||||
\(451\) | −0.886809 | −0.0417582 | ||||||||
\(452\) | −12.1801 | −0.572904 | ||||||||
\(453\) | 12.0697 | + | 20.9054i | 0.567085 | + | 0.982221i | ||||
\(454\) | 3.97375 | + | 6.88274i | 0.186498 | + | 0.323023i | ||||
\(455\) | −4.24795 | − | 7.94286i | −0.199147 | − | 0.372367i | ||||
\(456\) | −11.8718 | − | 20.5626i | −0.555949 | − | 0.962931i | ||||
\(457\) | −12.7603 | + | 22.1015i | −0.596903 | + | 1.03387i | 0.396372 | + | 0.918090i | \(0.370269\pi\) |
−0.993275 | + | 0.115776i | \(0.963064\pi\) | |||||||
\(458\) | −6.89741 | − | 11.9467i | −0.322295 | − | 0.558231i | ||||
\(459\) | −27.7285 | −1.29425 | ||||||||
\(460\) | −3.77133 | − | 6.53214i | −0.175839 | − | 0.304563i | ||||
\(461\) | 1.92983 | + | 3.34257i | 0.0898813 | + | 0.155679i | 0.907461 | − | 0.420137i | \(-0.138018\pi\) |
−0.817579 | + | 0.575816i | \(0.804685\pi\) | |||||||
\(462\) | 5.07620 | 0.236166 | ||||||||
\(463\) | −21.1658 | −0.983659 | −0.491829 | − | 0.870692i | \(-0.663672\pi\) | ||||
−0.491829 | + | 0.870692i | \(0.663672\pi\) | |||||||
\(464\) | −0.264098 | − | 0.457431i | −0.0122604 | − | 0.0212357i | ||||
\(465\) | 1.77420 | − | 10.8927i | 0.0822765 | − | 0.505135i | ||||
\(466\) | −5.66865 | + | 9.81838i | −0.262595 | + | 0.454828i | ||||
\(467\) | 24.2839 | 1.12373 | 0.561863 | − | 0.827230i | \(-0.310085\pi\) | ||||
0.561863 | + | 0.827230i | \(0.310085\pi\) | |||||||
\(468\) | −7.82152 | − | 0.254208i | −0.361550 | − | 0.0117508i | ||||
\(469\) | −22.5665 | −1.04203 | ||||||||
\(470\) | 13.6572 | 0.629960 | ||||||||
\(471\) | 9.62742 | + | 16.6752i | 0.443608 | + | 0.768352i | ||||
\(472\) | 6.12505 | 0.281928 | ||||||||
\(473\) | 14.7659 | 0.678937 | ||||||||
\(474\) | −1.22478 | + | 2.12139i | −0.0562561 | + | 0.0974385i | ||||
\(475\) | −9.41426 | + | 16.3060i | −0.431956 | + | 0.748170i | ||||
\(476\) | −5.84427 | − | 10.1226i | −0.267871 | − | 0.463967i | ||||
\(477\) | −5.55296 | −0.254253 | ||||||||
\(478\) | 17.6282 | 0.806296 | ||||||||
\(479\) | −1.74742 | − | 3.02662i | −0.0798416 | − | 0.138290i | 0.823340 | − | 0.567549i | \(-0.192108\pi\) |
−0.903181 | + | 0.429259i | \(0.858775\pi\) | |||||||
\(480\) | 11.5787 | 0.528492 | ||||||||
\(481\) | 9.25156 | + | 17.2987i | 0.421835 | + | 0.788751i | ||||
\(482\) | 0.0387448 | − | 0.0671080i | 0.00176478 | − | 0.00305668i | ||||
\(483\) | 6.17205 | 0.280838 | ||||||||
\(484\) | 1.75724 | + | 3.04363i | 0.0798746 | + | 0.138347i | ||||
\(485\) | 0.102692 | − | 0.177867i | 0.00466299 | − | 0.00807653i | ||||
\(486\) | −4.81521 | − | 8.34018i | −0.218422 | − | 0.378318i | ||||
\(487\) | 4.68395 | − | 8.11284i | 0.212250 | − | 0.367628i | −0.740168 | − | 0.672422i | \(-0.765254\pi\) |
0.952418 | + | 0.304794i | \(0.0985875\pi\) | |||||||
\(488\) | −0.244381 | − | 0.423281i | −0.0110626 | − | 0.0191610i | ||||
\(489\) | 1.13813 | − | 1.97129i | 0.0514678 | − | 0.0891449i | ||||
\(490\) | −5.17906 | −0.233966 | ||||||||
\(491\) | −6.94887 | −0.313598 | −0.156799 | − | 0.987631i | \(-0.550118\pi\) | ||||
−0.156799 | + | 0.987631i | \(0.550118\pi\) | |||||||
\(492\) | 0.224662 | − | 0.389126i | 0.0101286 | − | 0.0175432i | ||||
\(493\) | −1.10010 | + | 1.90543i | −0.0495461 | + | 0.0858163i | ||||
\(494\) | −10.4202 | + | 16.7658i | −0.468827 | + | 0.754331i | ||||
\(495\) | 8.49098 | 0.381641 | ||||||||
\(496\) | 1.07612 | − | 6.60685i | 0.0483194 | − | 0.296656i | ||||
\(497\) | −0.765952 | + | 1.32667i | −0.0343576 | + | 0.0595091i | ||||
\(498\) | 2.67815 | + | 4.63870i | 0.120011 | + | 0.207865i | ||||
\(499\) | −15.4883 | + | 26.8265i | −0.693350 | + | 1.20092i | 0.277383 | + | 0.960759i | \(0.410533\pi\) |
−0.970734 | + | 0.240159i | \(0.922801\pi\) | |||||||
\(500\) | −8.86291 | − | 15.3510i | −0.396362 | − | 0.686518i | ||||
\(501\) | −4.01543 | + | 6.95492i | −0.179396 | + | 0.310723i | ||||
\(502\) | 3.92240 | − | 6.79379i | 0.175065 | − | 0.303222i | ||||
\(503\) | −40.6947 | −1.81449 | −0.907245 | − | 0.420603i | \(-0.861818\pi\) | ||||
−0.907245 | + | 0.420603i | \(0.861818\pi\) | |||||||
\(504\) | 2.84096 | − | 4.92068i | 0.126546 | − | 0.219185i | ||||
\(505\) | −0.407922 | −0.0181523 | ||||||||
\(506\) | −4.13812 | − | 7.16743i | −0.183962 | − | 0.318631i | ||||
\(507\) | −7.15075 | − | 14.4831i | −0.317576 | − | 0.643218i | ||||
\(508\) | 12.0678 | − | 20.9020i | 0.535420 | − | 0.927375i | ||||
\(509\) | −4.02227 | −0.178284 | −0.0891420 | − | 0.996019i | \(-0.528412\pi\) | ||||
−0.0891420 | + | 0.996019i | \(0.528412\pi\) | |||||||
\(510\) | −3.54305 | − | 6.13674i | −0.156889 | − | 0.271739i | ||||
\(511\) | −9.24087 | − | 16.0057i | −0.408792 | − | 0.708049i | ||||
\(512\) | 13.0141 | 0.575146 | ||||||||
\(513\) | 42.4656 | 1.87490 | ||||||||
\(514\) | −2.27435 | + | 3.93929i | −0.100317 | + | 0.173755i | ||||
\(515\) | 1.80082 | − | 3.11912i | 0.0793537 | − | 0.137445i | ||||
\(516\) | −3.74076 | + | 6.47919i | −0.164678 | + | 0.285230i | ||||
\(517\) | −43.8311 | −1.92769 | ||||||||
\(518\) | −6.08198 | −0.267227 | ||||||||
\(519\) | −17.3788 | −0.762845 | ||||||||
\(520\) | −6.75896 | − | 12.6380i | −0.296400 | − | 0.554211i | ||||
\(521\) | −22.5036 | + | 38.9773i | −0.985900 | + | 1.70763i | −0.348032 | + | 0.937483i | \(0.613150\pi\) |
−0.637867 | + | 0.770146i | \(0.720183\pi\) | |||||||
\(522\) | −0.456700 | −0.0199892 | ||||||||
\(523\) | 7.96934 | − | 13.8033i | 0.348475 | − | 0.603576i | −0.637504 | − | 0.770447i | \(-0.720033\pi\) |
0.985979 | + | 0.166871i | \(0.0533664\pi\) | |||||||
\(524\) | −30.0110 | −1.31104 | ||||||||
\(525\) | 4.77645 | 0.208461 | ||||||||
\(526\) | −8.01965 | − | 13.8904i | −0.349673 | − | 0.605652i | ||||
\(527\) | −26.0751 | + | 9.87840i | −1.13585 | + | 0.430310i | ||||
\(528\) | −5.45958 | −0.237598 | ||||||||
\(529\) | 6.46855 | + | 11.2039i | 0.281241 | + | 0.487125i | ||||
\(530\) | −2.17125 | − | 3.76072i | −0.0943131 | − | 0.163355i | ||||
\(531\) | −1.78993 | + | 3.10025i | −0.0776763 | + | 0.134539i | ||||
\(532\) | 8.95037 | + | 15.5025i | 0.388048 | + | 0.672119i | ||||
\(533\) | −0.874382 | − | 0.0284184i | −0.0378737 | − | 0.00123094i | ||||
\(534\) | −1.14399 | + | 1.98146i | −0.0495055 | + | 0.0857460i | ||||
\(535\) | −7.19136 | + | 12.4558i | −0.310910 | + | 0.538511i | ||||
\(536\) | −35.9059 | −1.55090 | ||||||||
\(537\) | −13.2598 | + | 22.9667i | −0.572204 | + | 0.991087i | ||||
\(538\) | 2.32886 | + | 4.03370i | 0.100404 | + | 0.173905i | ||||
\(539\) | 16.6215 | 0.715940 | ||||||||
\(540\) | −6.58251 | + | 11.4012i | −0.283266 | + | 0.490631i | ||||
\(541\) | 11.8720 | − | 20.5630i | 0.510418 | − | 0.884071i | −0.489509 | − | 0.871998i | \(-0.662824\pi\) |
0.999927 | − | 0.0120722i | \(-0.00384280\pi\) | |||||||
\(542\) | −1.87786 | − | 3.25254i | −0.0806608 | − | 0.139709i | ||||
\(543\) | −10.2763 | + | 17.7990i | −0.440996 | + | 0.763828i | ||||
\(544\) | −14.6271 | − | 25.3348i | −0.627131 | − | 1.08622i | ||||
\(545\) | −11.1896 | − | 19.3810i | −0.479312 | − | 0.830192i | ||||
\(546\) | 5.00507 | + | 0.162670i | 0.214197 | + | 0.00696164i | ||||
\(547\) | 1.36043 | + | 2.35634i | 0.0581680 | + | 0.100750i | 0.893643 | − | 0.448778i | \(-0.148141\pi\) |
−0.835475 | + | 0.549528i | \(0.814807\pi\) | |||||||
\(548\) | 30.2443 | 1.29197 | ||||||||
\(549\) | 0.285663 | 0.0121918 | ||||||||
\(550\) | −3.20242 | − | 5.54676i | −0.136552 | − | 0.236515i | ||||
\(551\) | 1.68478 | − | 2.91813i | 0.0717742 | − | 0.124317i | ||||
\(552\) | 9.82041 | 0.417984 | ||||||||
\(553\) | 2.16247 | − | 3.74550i | 0.0919575 | − | 0.159275i | ||||
\(554\) | 6.23201 | 0.264773 | ||||||||
\(555\) | 10.7846 | 0.457782 | ||||||||
\(556\) | −8.19993 | + | 14.2027i | −0.347754 | + | 0.602328i | ||||
\(557\) | 4.32454 | − | 7.49032i | 0.183237 | − | 0.317375i | −0.759744 | − | 0.650222i | \(-0.774676\pi\) |
0.942981 | + | 0.332847i | \(0.108009\pi\) | |||||||
\(558\) | −4.48199 | − | 3.66208i | −0.189738 | − | 0.155028i | ||||
\(559\) | 14.5590 | + | 0.473183i | 0.615779 | + | 0.0200135i | ||||
\(560\) | −3.00351 | −0.126922 | ||||||||
\(561\) | 11.3710 | + | 19.6951i | 0.480083 | + | 0.831528i | ||||
\(562\) | 5.01123 | − | 8.67970i | 0.211386 | − | 0.366131i | ||||
\(563\) | −2.63030 | + | 4.55581i | −0.110854 | + | 0.192005i | −0.916115 | − | 0.400916i | \(-0.868692\pi\) |
0.805261 | + | 0.592921i | \(0.202025\pi\) | |||||||
\(564\) | 11.1041 | − | 19.2328i | 0.467566 | − | 0.809848i | ||||
\(565\) | 13.0373 | 0.548485 | ||||||||
\(566\) | −8.75206 | − | 15.1590i | −0.367877 | − | 0.637181i | ||||
\(567\) | −1.96573 | − | 3.40475i | −0.0825531 | − | 0.142986i | ||||
\(568\) | −1.21871 | + | 2.11087i | −0.0511361 | + | 0.0885703i | ||||
\(569\) | 40.2048 | 1.68547 | 0.842737 | − | 0.538326i | \(-0.180943\pi\) | ||||
0.842737 | + | 0.538326i | \(0.180943\pi\) | |||||||
\(570\) | 5.42611 | + | 9.39829i | 0.227275 | + | 0.393651i | ||||
\(571\) | −10.3057 | − | 17.8500i | −0.431280 | − | 0.746999i | 0.565704 | − | 0.824609i | \(-0.308605\pi\) |
−0.996984 | + | 0.0776094i | \(0.975271\pi\) | |||||||
\(572\) | 9.26261 | + | 17.3193i | 0.387289 | + | 0.724157i | ||||
\(573\) | −29.6834 | −1.24004 | ||||||||
\(574\) | 0.135615 | − | 0.234892i | 0.00566047 | − | 0.00980421i | ||||
\(575\) | −3.89376 | − | 6.74418i | −0.162381 | − | 0.281252i | ||||
\(576\) | 1.28537 | − | 2.22633i | 0.0535571 | − | 0.0927636i | ||||
\(577\) | −16.1217 | + | 27.9236i | −0.671155 | + | 1.16247i | 0.306422 | + | 0.951896i | \(0.400868\pi\) |
−0.977577 | + | 0.210579i | \(0.932465\pi\) | |||||||
\(578\) | −2.88407 | + | 4.99536i | −0.119962 | + | 0.207780i | ||||
\(579\) | −15.1769 | + | 26.2872i | −0.630731 | + | 1.09246i | ||||
\(580\) | 0.522310 | + | 0.904668i | 0.0216878 | + | 0.0375643i | ||||
\(581\) | −4.72853 | − | 8.19005i | −0.196172 | − | 0.339781i | ||||
\(582\) | 0.0570917 | + | 0.0988857i | 0.00236653 | + | 0.00409894i | ||||
\(583\) | 6.96835 | + | 12.0695i | 0.288600 | + | 0.499869i | ||||
\(584\) | −14.7032 | − | 25.4668i | −0.608425 | − | 1.05382i | ||||
\(585\) | 8.37200 | + | 0.272099i | 0.346139 | + | 0.0112499i | ||||
\(586\) | −1.00519 | + | 1.74103i | −0.0415239 | + | 0.0719215i | ||||
\(587\) | 20.9406 | − | 36.2701i | 0.864310 | − | 1.49703i | −0.00342145 | − | 0.999994i | \(-0.501089\pi\) |
0.867731 | − | 0.497034i | \(-0.165578\pi\) | |||||||
\(588\) | −4.21086 | + | 7.29343i | −0.173653 | + | 0.300776i | ||||
\(589\) | 39.9335 | − | 15.1286i | 1.64543 | − | 0.623362i | ||||
\(590\) | −2.79950 | −0.115254 | ||||||||
\(591\) | 5.50760 | + | 9.53945i | 0.226552 | + | 0.392400i | ||||
\(592\) | 6.54132 | 0.268846 | ||||||||
\(593\) | 7.42200 | 0.304785 | 0.152392 | − | 0.988320i | \(-0.451302\pi\) | ||||
0.152392 | + | 0.988320i | \(0.451302\pi\) | |||||||
\(594\) | −7.22269 | + | 12.5101i | −0.296351 | + | 0.513295i | ||||
\(595\) | 6.25558 | + | 10.8350i | 0.256454 | + | 0.444191i | ||||
\(596\) | 7.25062 | + | 12.5584i | 0.296997 | + | 0.514414i | ||||
\(597\) | 0.0269229 | 0.00110188 | ||||||||
\(598\) | −3.85044 | − | 7.19960i | −0.157456 | − | 0.294414i | ||||
\(599\) | −11.6423 | − | 20.1651i | −0.475693 | − | 0.823924i | 0.523920 | − | 0.851768i | \(-0.324469\pi\) |
−0.999612 | + | 0.0278439i | \(0.991136\pi\) | |||||||
\(600\) | 7.59986 | 0.310263 | ||||||||
\(601\) | −6.61763 | − | 11.4621i | −0.269939 | − | 0.467547i | 0.698907 | − | 0.715212i | \(-0.253670\pi\) |
−0.968846 | + | 0.247665i | \(0.920337\pi\) | |||||||
\(602\) | −2.25807 | + | 3.91110i | −0.0920322 | + | 0.159404i | ||||
\(603\) | 10.4928 | − | 18.1741i | 0.427300 | − | 0.740105i | ||||
\(604\) | −14.4784 | − | 25.0774i | −0.589119 | − | 1.02038i | ||||
\(605\) | −1.88092 | − | 3.25784i | −0.0764701 | − | 0.132450i | ||||
\(606\) | 0.113393 | − | 0.196402i | 0.00460626 | − | 0.00797828i | ||||
\(607\) | 0.808608 | − | 1.40055i | 0.0328204 | − | 0.0568465i | −0.849149 | − | 0.528154i | \(-0.822884\pi\) |
0.881969 | + | 0.471307i | \(0.156218\pi\) | |||||||
\(608\) | 22.4011 | + | 38.7998i | 0.908483 | + | 1.57354i | ||||
\(609\) | −0.854797 | −0.0346381 | ||||||||
\(610\) | 0.111696 | + | 0.193464i | 0.00452246 | + | 0.00783312i | ||||
\(611\) | −43.2169 | − | 1.40460i | −1.74837 | − | 0.0568239i | ||||
\(612\) | 10.8697 | 0.439380 | ||||||||
\(613\) | −15.0212 | − | 26.0175i | −0.606700 | − | 1.05084i | −0.991780 | − | 0.127952i | \(-0.959160\pi\) |
0.385080 | − | 0.922883i | \(-0.374174\pi\) | |||||||
\(614\) | 5.98508 | + | 10.3665i | 0.241538 | + | 0.418356i | ||||
\(615\) | −0.240474 | + | 0.416513i | −0.00969684 | + | 0.0167954i | ||||
\(616\) | −14.2603 | −0.574566 | ||||||||
\(617\) | −13.8589 | −0.557938 | −0.278969 | − | 0.960300i | \(-0.589993\pi\) | ||||
−0.278969 | + | 0.960300i | \(0.589993\pi\) | |||||||
\(618\) | 1.00117 | + | 1.73408i | 0.0402730 | + | 0.0697550i | ||||
\(619\) | 32.8985 | 1.32230 | 0.661151 | − | 0.750253i | \(-0.270068\pi\) | ||||
0.661151 | + | 0.750253i | \(0.270068\pi\) | |||||||
\(620\) | −2.12827 | + | 13.0665i | −0.0854733 | + | 0.524762i | ||||
\(621\) | −8.78192 | + | 15.2107i | −0.352406 | + | 0.610386i | ||||
\(622\) | 6.42282 | − | 11.1246i | 0.257531 | − | 0.446058i | ||||
\(623\) | 2.01983 | − | 3.49845i | 0.0809227 | − | 0.140162i | ||||
\(624\) | −5.38308 | − | 0.174956i | −0.215496 | − | 0.00700384i | ||||
\(625\) | 3.34938 | + | 5.80130i | 0.133975 | + | 0.232052i | ||||
\(626\) | −7.82878 | − | 13.5598i | −0.312901 | − | 0.541961i | ||||
\(627\) | −17.4144 | − | 30.1626i | −0.695464 | − | 1.20458i | ||||
\(628\) | −11.5487 | − | 20.0030i | −0.460844 | − | 0.798206i | ||||
\(629\) | −13.6240 | − | 23.5974i | −0.543223 | − | 0.940889i | ||||
\(630\) | −1.29848 | + | 2.24904i | −0.0517328 | + | 0.0896038i | ||||
\(631\) | −2.24706 | + | 3.89202i | −0.0894540 | + | 0.154939i | −0.907280 | − | 0.420526i | \(-0.861846\pi\) |
0.817826 | + | 0.575465i | \(0.195179\pi\) | |||||||
\(632\) | 3.44072 | − | 5.95951i | 0.136865 | − | 0.237057i | ||||
\(633\) | 13.3415 | − | 23.1082i | 0.530278 | − | 0.918468i | ||||
\(634\) | −7.40866 | − | 12.8322i | −0.294236 | − | 0.509631i | ||||
\(635\) | −12.9171 | + | 22.3730i | −0.512599 | + | 0.887847i | ||||
\(636\) | −7.06139 | −0.280003 | ||||||||
\(637\) | 16.3886 | + | 0.532648i | 0.649341 | + | 0.0211043i | ||||
\(638\) | 0.573108 | + | 0.992652i | 0.0226896 | + | 0.0392995i | ||||
\(639\) | −0.712292 | − | 1.23373i | −0.0281778 | − | 0.0488054i | ||||
\(640\) | −16.6277 | −0.657267 | ||||||||
\(641\) | −13.5772 | + | 23.5163i | −0.536266 | + | 0.928839i | 0.462835 | + | 0.886444i | \(0.346832\pi\) |
−0.999101 | + | 0.0423951i | \(0.986501\pi\) | |||||||
\(642\) | −3.99806 | − | 6.92484i | −0.157791 | − | 0.273302i | ||||
\(643\) | 11.4500 | + | 19.8320i | 0.451545 | + | 0.782099i | 0.998482 | − | 0.0550748i | \(-0.0175397\pi\) |
−0.546937 | + | 0.837174i | \(0.684206\pi\) | |||||||
\(644\) | −7.40378 | −0.291750 | ||||||||
\(645\) | 4.00404 | − | 6.93519i | 0.157659 | − | 0.273073i | ||||
\(646\) | 13.7093 | − | 23.7453i | 0.539387 | − | 0.934246i | ||||
\(647\) | 12.4052 | − | 21.4864i | 0.487697 | − | 0.844716i | −0.512203 | − | 0.858865i | \(-0.671170\pi\) |
0.999900 | + | 0.0141482i | \(0.00450365\pi\) | |||||||
\(648\) | −3.12770 | − | 5.41733i | −0.122868 | − | 0.212813i | ||||
\(649\) | 8.98465 | 0.352679 | ||||||||
\(650\) | −2.97980 | − | 5.57166i | −0.116877 | − | 0.218538i | ||||
\(651\) | −8.38886 | − | 6.85426i | −0.328785 | − | 0.268640i | ||||
\(652\) | −1.36526 | + | 2.36470i | −0.0534676 | + | 0.0926087i | ||||
\(653\) | −11.5117 | + | 19.9388i | −0.450487 | + | 0.780266i | −0.998416 | − | 0.0562585i | \(-0.982083\pi\) |
0.547929 | + | 0.836525i | \(0.315416\pi\) | |||||||
\(654\) | 12.4418 | 0.486514 | ||||||||
\(655\) | 32.1232 | 1.25516 | ||||||||
\(656\) | −0.145857 | + | 0.252632i | −0.00569477 | + | 0.00986364i | ||||
\(657\) | 17.1870 | 0.670528 | ||||||||
\(658\) | 6.70287 | − | 11.6097i | 0.261305 | − | 0.452594i | ||||
\(659\) | −6.75294 | − | 11.6964i | −0.263057 | − | 0.455628i | 0.703996 | − | 0.710204i | \(-0.251397\pi\) |
−0.967053 | + | 0.254576i | \(0.918064\pi\) | |||||||
\(660\) | 10.7975 | 0.420292 | ||||||||
\(661\) | 22.1538 | 0.861683 | 0.430841 | − | 0.902428i | \(-0.358217\pi\) | ||||
0.430841 | + | 0.902428i | \(0.358217\pi\) | |||||||
\(662\) | 5.25393 | + | 9.10007i | 0.204200 | + | 0.353684i | ||||
\(663\) | 10.5805 | + | 19.7835i | 0.410912 | + | 0.768328i | ||||
\(664\) | −7.52361 | − | 13.0313i | −0.291973 | − | 0.505711i | ||||
\(665\) | −9.58030 | − | 16.5936i | −0.371508 | − | 0.643471i | ||||
\(666\) | 2.82795 | − | 4.89815i | 0.109581 | − | 0.189799i | ||||
\(667\) | 0.696829 | + | 1.20694i | 0.0269813 | + | 0.0467331i | ||||
\(668\) | 4.81677 | − | 8.34289i | 0.186366 | − | 0.322796i | ||||
\(669\) | −14.8525 | + | 25.7253i | −0.574231 | + | 0.994596i | ||||
\(670\) | 16.4111 | 0.634014 | ||||||||
\(671\) | −0.358476 | − | 0.620898i | −0.0138388 | − | 0.0239695i | ||||
\(672\) | 5.68274 | − | 9.84279i | 0.219216 | − | 0.379694i | ||||
\(673\) | −17.3770 | −0.669834 | −0.334917 | − | 0.942248i | \(-0.608708\pi\) | ||||
−0.334917 | + | 0.942248i | \(0.608708\pi\) | |||||||
\(674\) | −2.50195 | + | 4.33350i | −0.0963714 | + | 0.166920i | ||||
\(675\) | −6.79619 | + | 11.7713i | −0.261585 | + | 0.453079i | ||||
\(676\) | 8.57781 | + | 17.3735i | 0.329916 | + | 0.668210i | ||||
\(677\) | 16.5061 | + | 28.5895i | 0.634383 | + | 1.09878i | 0.986646 | + | 0.162882i | \(0.0520789\pi\) |
−0.352263 | + | 0.935901i | \(0.614588\pi\) | |||||||
\(678\) | −3.62407 | + | 6.27707i | −0.139182 | + | 0.241070i | ||||
\(679\) | −0.100801 | − | 0.174592i | −0.00386838 | − | 0.00670022i | ||||
\(680\) | 9.95332 | + | 17.2397i | 0.381692 | + | 0.661111i | ||||
\(681\) | −13.8331 | −0.530085 | ||||||||
\(682\) | −2.33525 | + | 14.3373i | −0.0894215 | + | 0.549002i | ||||
\(683\) | −11.9799 | − | 20.7499i | −0.458400 | − | 0.793972i | 0.540477 | − | 0.841359i | \(-0.318244\pi\) |
−0.998877 | + | 0.0473872i | \(0.984911\pi\) | |||||||
\(684\) | −16.6467 | −0.636502 | ||||||||
\(685\) | −32.3729 | −1.23690 | ||||||||
\(686\) | −6.45428 | + | 11.1791i | −0.246426 | + | 0.426822i | ||||
\(687\) | 24.0107 | 0.916065 | ||||||||
\(688\) | 2.42861 | − | 4.20648i | 0.0925900 | − | 0.160371i | ||||
\(689\) | 6.48393 | + | 12.1237i | 0.247018 | + | 0.461877i | ||||
\(690\) | −4.48850 | −0.170874 | ||||||||
\(691\) | 2.11812 | 0.0805771 | 0.0402886 | − | 0.999188i | \(-0.487172\pi\) | ||||
0.0402886 | + | 0.999188i | \(0.487172\pi\) | |||||||
\(692\) | 20.8470 | 0.792486 | ||||||||
\(693\) | 4.16731 | − | 7.21800i | 0.158303 | − | 0.274189i | ||||
\(694\) | −0.0824336 | + | 0.142779i | −0.00312914 | + | 0.00541982i | ||||
\(695\) | 8.77704 | − | 15.2023i | 0.332932 | − | 0.576655i | ||||
\(696\) | −1.36008 | −0.0515535 | ||||||||
\(697\) | 1.21514 | 0.0460267 | ||||||||
\(698\) | 3.12108 | + | 5.40587i | 0.118135 | + | 0.204615i | ||||
\(699\) | −9.86661 | − | 17.0895i | −0.373189 | − | 0.646383i | ||||
\(700\) | −5.72967 | −0.216561 | ||||||||
\(701\) | −2.56037 | + | 4.43469i | −0.0967038 | + | 0.167496i | −0.910318 | − | 0.413909i | \(-0.864163\pi\) |
0.813615 | + | 0.581405i | \(0.197497\pi\) | |||||||
\(702\) | −7.52238 | + | 12.1033i | −0.283914 | + | 0.456810i | ||||
\(703\) | 20.8648 | + | 36.1389i | 0.786931 | + | 1.36301i | ||||
\(704\) | −6.45199 | −0.243169 | ||||||||
\(705\) | −11.8856 | + | 20.5864i | −0.447637 | + | 0.775330i | ||||
\(706\) | 10.7356 | 0.404041 | ||||||||
\(707\) | −0.200205 | + | 0.346766i | −0.00752950 | + | 0.0130415i | ||||
\(708\) | −2.27615 | + | 3.94241i | −0.0855431 | + | 0.148165i | ||||
\(709\) | −5.50158 | − | 9.52901i | −0.206616 | − | 0.357870i | 0.744030 | − | 0.668146i | \(-0.232912\pi\) |
−0.950646 | + | 0.310276i | \(0.899578\pi\) | |||||||
\(710\) | 0.557023 | − | 0.964791i | 0.0209047 | − | 0.0362080i | ||||
\(711\) | 2.01097 | + | 3.48311i | 0.0754174 | + | 0.130627i | ||||
\(712\) | 3.21377 | − | 5.56641i | 0.120441 | − | 0.208610i | ||||
\(713\) | −2.83938 | + | 17.4324i | −0.106336 | + | 0.652847i | ||||
\(714\) | −6.95562 | −0.260307 | ||||||||
\(715\) | −9.91451 | − | 18.5382i | −0.370782 | − | 0.693291i | ||||
\(716\) | 15.9061 | − | 27.5501i | 0.594437 | − | 1.02960i | ||||
\(717\) | −15.3415 | + | 26.5722i | −0.572938 | + | 0.992357i | ||||
\(718\) | −16.7946 | −0.626770 | ||||||||
\(719\) | 34.7759 | 1.29692 | 0.648461 | − | 0.761248i | \(-0.275413\pi\) | ||||
0.648461 | + | 0.761248i | \(0.275413\pi\) | |||||||
\(720\) | 1.39655 | − | 2.41889i | 0.0520463 | − | 0.0901468i | ||||
\(721\) | −1.76766 | − | 3.06168i | −0.0658312 | − | 0.114023i | ||||
\(722\) | −14.2141 | + | 24.6196i | −0.528995 | + | 0.916246i | ||||
\(723\) | 0.0674376 | + | 0.116805i | 0.00250803 | + | 0.00434404i | ||||
\(724\) | 12.3270 | − | 21.3511i | 0.458131 | − | 0.793506i | ||||
\(725\) | 0.539265 | + | 0.934035i | 0.0200278 | + | 0.0346892i | ||||
\(726\) | 2.09140 | 0.0776192 | ||||||||
\(727\) | 18.1970 | − | 31.5181i | 0.674889 | − | 1.16894i | −0.301613 | − | 0.953431i | \(-0.597525\pi\) |
0.976501 | − | 0.215511i | \(-0.0691417\pi\) | |||||||
\(728\) | −14.0605 | − | 0.456982i | −0.521117 | − | 0.0169369i | ||||
\(729\) | 24.2941 | 0.899780 | ||||||||
\(730\) | 6.72024 | + | 11.6398i | 0.248727 | + | 0.430808i | ||||
\(731\) | −20.2328 | −0.748338 | ||||||||
\(732\) | 0.363262 | 0.0134265 | ||||||||
\(733\) | −16.8198 | − | 29.1328i | −0.621254 | − | 1.07604i | −0.989252 | − | 0.146218i | \(-0.953290\pi\) |
0.367998 | − | 0.929827i | \(-0.380043\pi\) | |||||||
\(734\) | 3.01549 | − | 5.22297i | 0.111304 | − | 0.192783i | ||||
\(735\) | 4.50722 | − | 7.80674i | 0.166251 | − | 0.287956i | ||||
\(736\) | −18.5302 | −0.683034 | ||||||||
\(737\) | −52.6692 | −1.94010 | ||||||||
\(738\) | 0.126114 | + | 0.218437i | 0.00464233 | + | 0.00804076i | ||||
\(739\) | −7.96388 | −0.292956 | −0.146478 | − | 0.989214i | \(-0.546794\pi\) | ||||
−0.146478 | + | 0.989214i | \(0.546794\pi\) | |||||||
\(740\) | −12.9369 | −0.475569 | ||||||||
\(741\) | −16.2038 | − | 30.2980i | −0.595261 | − | 1.11303i | ||||
\(742\) | −4.26254 | −0.156483 | ||||||||
\(743\) | −1.24195 | + | 2.15113i | −0.0455629 | + | 0.0789173i | −0.887907 | − | 0.460022i | \(-0.847841\pi\) |
0.842345 | + | 0.538939i | \(0.181175\pi\) | |||||||
\(744\) | −13.3476 | − | 10.9059i | −0.489347 | − | 0.399829i | ||||
\(745\) | −7.76091 | − | 13.4423i | −0.284338 | − | 0.492488i | ||||
\(746\) | −7.14031 | −0.261425 | ||||||||
\(747\) | 8.79453 | 0.321775 | ||||||||
\(748\) | −13.6402 | − | 23.6256i | −0.498736 | − | 0.863837i | ||||
\(749\) | 7.05894 | + | 12.2264i | 0.257928 | + | 0.446745i | ||||
\(750\) | −10.5483 | −0.385169 | ||||||||
\(751\) | 19.8570 | + | 34.3933i | 0.724592 | + | 1.25503i | 0.959142 | + | 0.282925i | \(0.0913049\pi\) |
−0.234550 | + | 0.972104i | \(0.575362\pi\) | |||||||
\(752\) | −7.20910 | + | 12.4865i | −0.262889 | + | 0.455337i | ||||
\(753\) | 6.82716 | + | 11.8250i | 0.248795 | + | 0.430926i | ||||
\(754\) | 0.533267 | + | 0.997108i | 0.0194204 | + | 0.0363125i | ||||
\(755\) | 15.4974 | + | 26.8423i | 0.564009 | + | 0.976893i | ||||
\(756\) | 6.46130 | + | 11.1913i | 0.234995 | + | 0.407024i | ||||
\(757\) | −18.8829 | −0.686311 | −0.343155 | − | 0.939279i | \(-0.611496\pi\) | ||||
−0.343155 | + | 0.939279i | \(0.611496\pi\) | |||||||
\(758\) | −20.1339 | −0.731297 | ||||||||
\(759\) | 14.4053 | 0.522878 | ||||||||
\(760\) | −15.2433 | − | 26.4022i | −0.552933 | − | 0.957708i | ||||
\(761\) | −35.1999 | −1.27600 | −0.637998 | − | 0.770038i | \(-0.720237\pi\) | ||||
−0.637998 | + | 0.770038i | \(0.720237\pi\) | |||||||
\(762\) | −7.18129 | − | 12.4384i | −0.260151 | − | 0.450594i | ||||
\(763\) | −21.9672 | −0.795267 | ||||||||
\(764\) | 35.6072 | 1.28822 | ||||||||
\(765\) | −11.6347 | −0.420653 | ||||||||
\(766\) | 2.53168 | + | 4.38500i | 0.0914733 | + | 0.158436i | ||||
\(767\) | 8.85875 | + | 0.287919i | 0.319871 | + | 0.0103962i | ||||
\(768\) | 6.81547 | − | 11.8047i | 0.245932 | − | 0.425967i | ||||
\(769\) | 0.945291 | + | 1.63729i | 0.0340881 | + | 0.0590422i | 0.882566 | − | 0.470188i | \(-0.155814\pi\) |
−0.848478 | + | 0.529231i | \(0.822481\pi\) | |||||||
\(770\) | 6.51780 | 0.234885 | ||||||||
\(771\) | −3.95864 | − | 6.85656i | −0.142567 | − | 0.246933i | ||||
\(772\) | 18.2057 | − | 31.5332i | 0.655238 | − | 1.13491i | ||||
\(773\) | −5.45444 | − | 9.44737i | −0.196183 | − | 0.339798i | 0.751105 | − | 0.660183i | \(-0.229521\pi\) |
−0.947288 | + | 0.320385i | \(0.896188\pi\) | |||||||
\(774\) | −2.09988 | − | 3.63710i | −0.0754786 | − | 0.130733i | ||||
\(775\) | −2.19735 | + | 13.4906i | −0.0789313 | + | 0.484598i | ||||
\(776\) | −0.160385 | − | 0.277795i | −0.00575749 | − | 0.00997226i | ||||
\(777\) | 5.29302 | − | 9.16778i | 0.189886 | − | 0.328892i | ||||
\(778\) | 9.71062 | + | 16.8193i | 0.348143 | + | 0.603001i | ||||
\(779\) | −1.86096 | −0.0666759 | ||||||||
\(780\) | 10.6462 | + | 0.346013i | 0.381195 | + | 0.0123893i | ||||
\(781\) | −1.78769 | + | 3.09638i | −0.0639687 | + | 0.110797i | ||||
\(782\) | 5.67021 | + | 9.82109i | 0.202766 | + | 0.351202i | ||||
\(783\) | 1.21625 | − | 2.10661i | 0.0434653 | − | 0.0752840i | ||||
\(784\) | 2.73382 | − | 4.73511i | 0.0976363 | − | 0.169111i | ||||
\(785\) | 12.3615 | + | 21.4108i | 0.441202 | + | 0.764184i | ||||
\(786\) | −8.92949 | + | 15.4663i | −0.318504 | + | 0.551665i | ||||
\(787\) | 8.79055 | 0.313349 | 0.156675 | − | 0.987650i | \(-0.449923\pi\) | ||||
0.156675 | + | 0.987650i | \(0.449923\pi\) | |||||||
\(788\) | −6.60673 | − | 11.4432i | −0.235355 | − | 0.407647i | ||||
\(789\) | 27.9173 | 0.993883 | ||||||||
\(790\) | −1.57261 | + | 2.72384i | −0.0559510 | + | 0.0969099i | ||||
\(791\) | 6.39863 | − | 11.0828i | 0.227509 | − | 0.394058i | ||||
\(792\) | 6.63066 | − | 11.4846i | 0.235610 | − | 0.408089i | ||||
\(793\) | −0.333555 | − | 0.623685i | −0.0118449 | − | 0.0221477i | ||||
\(794\) | −11.7377 | + | 20.3302i | −0.416554 | + | 0.721492i | ||||
\(795\) | 7.55837 | 0.268068 | ||||||||
\(796\) | −0.0322958 | −0.00114469 | ||||||||
\(797\) | −21.5903 | + | 37.3955i | −0.764768 | + | 1.32462i | 0.175602 | + | 0.984461i | \(0.443813\pi\) |
−0.940369 | + | 0.340155i | \(0.889520\pi\) | |||||||
\(798\) | 10.6524 | 0.377090 | ||||||||
\(799\) | 60.0591 | 2.12474 | ||||||||
\(800\) | −14.3403 | −0.507005 | ||||||||
\(801\) | 1.87833 | + | 3.25336i | 0.0663674 | + | 0.114952i | ||||
\(802\) | 2.60189 | + | 4.50660i | 0.0918759 | + | 0.159134i | ||||
\(803\) | −21.5677 | − | 37.3564i | −0.761109 | − | 1.31828i | ||||
\(804\) | 13.3431 | − | 23.1110i | 0.470575 | − | 0.815060i | ||||
\(805\) | 7.92486 | 0.279315 | ||||||||
\(806\) | −2.76198 | + | 14.0615i | −0.0972865 | + | 0.495296i | ||||
\(807\) | −8.10702 | −0.285380 | ||||||||
\(808\) | −0.318549 | + | 0.551743i | −0.0112065 | + | 0.0194102i | ||||
\(809\) | 12.4001 | + | 21.4776i | 0.435965 | + | 0.755113i | 0.997374 | − | 0.0724251i | \(-0.0230738\pi\) |
−0.561409 | + | 0.827539i | \(0.689740\pi\) | |||||||
\(810\) | 1.42954 | + | 2.47604i | 0.0502289 | + | 0.0869990i | ||||
\(811\) | −0.832059 | − | 1.44117i | −0.0292175 | − | 0.0506063i | 0.851047 | − | 0.525090i | \(-0.175968\pi\) |
−0.880264 | + | 0.474483i | \(0.842635\pi\) | |||||||
\(812\) | 1.02539 | 0.0359840 | ||||||||
\(813\) | 6.53703 | 0.229264 | ||||||||
\(814\) | −14.1950 | −0.497536 | ||||||||
\(815\) | 1.46134 | − | 2.53112i | 0.0511887 | − | 0.0886614i | ||||
\(816\) | 7.48093 | 0.261885 | ||||||||
\(817\) | 30.9862 | 1.08407 | ||||||||
\(818\) | 1.72267 | − | 2.98376i | 0.0602319 | − | 0.104325i | ||||
\(819\) | 4.34022 | − | 6.98331i | 0.151660 | − | 0.244017i | ||||
\(820\) | 0.288464 | − | 0.499635i | 0.0100736 | − | 0.0174480i | ||||
\(821\) | −13.4692 | + | 23.3294i | −0.470079 | + | 0.814200i | −0.999415 | − | 0.0342121i | \(-0.989108\pi\) |
0.529336 | + | 0.848412i | \(0.322441\pi\) | |||||||
\(822\) | 8.99890 | − | 15.5866i | 0.313873 | − | 0.543643i | ||||
\(823\) | 16.6747 | 0.581242 | 0.290621 | − | 0.956838i | \(-0.406138\pi\) | ||||
0.290621 | + | 0.956838i | \(0.406138\pi\) | |||||||
\(824\) | −2.81255 | − | 4.87147i | −0.0979797 | − | 0.169706i | ||||
\(825\) | 11.1480 | 0.388124 | ||||||||
\(826\) | −1.37398 | + | 2.37980i | −0.0478068 | + | 0.0828038i | ||||
\(827\) | 6.62472 | + | 11.4743i | 0.230364 | + | 0.399002i | 0.957915 | − | 0.287051i | \(-0.0926750\pi\) |
−0.727551 | + | 0.686053i | \(0.759342\pi\) | |||||||
\(828\) | 3.44255 | − | 5.96267i | 0.119637 | − | 0.207217i | ||||
\(829\) | 22.3780 | − | 38.7599i | 0.777221 | − | 1.34619i | −0.156317 | − | 0.987707i | \(-0.549962\pi\) |
0.933538 | − | 0.358479i | \(-0.116704\pi\) | |||||||
\(830\) | 3.43873 | + | 5.95605i | 0.119360 | + | 0.206737i | ||||
\(831\) | −5.42359 | + | 9.39393i | −0.188142 | + | 0.325872i | ||||
\(832\) | −6.36158 | − | 0.206758i | −0.220548 | − | 0.00716805i | ||||
\(833\) | −22.7755 | −0.789124 | ||||||||
\(834\) | 4.87962 | + | 8.45175i | 0.168967 | + | 0.292660i | ||||
\(835\) | −5.15577 | + | 8.93006i | −0.178423 | + | 0.309038i | ||||
\(836\) | 20.8897 | + | 36.1821i | 0.722487 | + | 1.25138i | ||||
\(837\) | 28.8281 | − | 10.9214i | 0.996446 | − | 0.377498i | ||||
\(838\) | 10.6455 | + | 18.4385i | 0.367742 | + | 0.636948i | ||||
\(839\) | −17.5512 | − | 30.3995i | −0.605934 | − | 1.04951i | −0.991903 | − | 0.126996i | \(-0.959466\pi\) |
0.385970 | − | 0.922512i | \(-0.373867\pi\) | |||||||
\(840\) | −3.86695 | + | 6.69775i | −0.133422 | + | 0.231094i | ||||
\(841\) | 14.4035 | + | 24.9476i | 0.496672 | + | 0.860261i | ||||
\(842\) | 6.79216 | 0.234073 | ||||||||
\(843\) | 8.72233 | + | 15.1075i | 0.300413 | + | 0.520331i | ||||
\(844\) | −16.0040 | + | 27.7198i | −0.550882 | + | 0.954155i | ||||
\(845\) | −9.18151 | − | 18.5962i | −0.315854 | − | 0.639729i | ||||
\(846\) | 6.23329 | + | 10.7964i | 0.214305 | + | 0.371187i | ||||
\(847\) | −3.69256 | −0.126878 | ||||||||
\(848\) | 4.58447 | 0.157431 | ||||||||
\(849\) | 30.4670 | 1.04562 | ||||||||
\(850\) | 4.38809 | + | 7.60039i | 0.150510 | + | 0.260691i | ||||
\(851\) | −17.2594 | −0.591646 | ||||||||
\(852\) | −0.905781 | − | 1.56886i | −0.0310316 | − | 0.0537482i | ||||
\(853\) | 22.6874 | 0.776803 | 0.388402 | − | 0.921490i | \(-0.373027\pi\) | ||||
0.388402 | + | 0.921490i | \(0.373027\pi\) | |||||||
\(854\) | 0.219279 | 0.00750359 | ||||||||
\(855\) | 17.8183 | 0.609372 | ||||||||
\(856\) | 11.2316 | + | 19.4536i | 0.383887 | + | 0.664911i | ||||
\(857\) | 22.4760 | + | 38.9296i | 0.767767 | + | 1.32981i | 0.938771 | + | 0.344541i | \(0.111965\pi\) |
−0.171005 | + | 0.985270i | \(0.554701\pi\) | |||||||
\(858\) | 11.6816 | + | 0.379664i | 0.398803 | + | 0.0129615i | ||||
\(859\) | 8.30329 | + | 14.3817i | 0.283305 | + | 0.490698i | 0.972197 | − | 0.234166i | \(-0.0752359\pi\) |
−0.688892 | + | 0.724864i | \(0.741903\pi\) | |||||||
\(860\) | −4.80311 | + | 8.31922i | −0.163785 | + | 0.283683i | ||||
\(861\) | 0.236046 | + | 0.408844i | 0.00804443 | + | 0.0139334i | ||||
\(862\) | −3.08264 | −0.104995 | ||||||||
\(863\) | 9.24711 | + | 16.0165i | 0.314775 | + | 0.545207i | 0.979390 | − | 0.201980i | \(-0.0647375\pi\) |
−0.664614 | + | 0.747187i | \(0.731404\pi\) | |||||||
\(864\) | 16.1714 | + | 28.0097i | 0.550162 | + | 0.952909i | ||||
\(865\) | −22.3143 | −0.758707 | ||||||||
\(866\) | 20.2490 | 0.688090 | ||||||||
\(867\) | −5.01989 | − | 8.69471i | −0.170485 | − | 0.295288i | ||||
\(868\) | 10.0630 | + | 8.22214i | 0.341560 | + | 0.279077i | ||||
\(869\) | 5.04709 | − | 8.74182i | 0.171211 | − | 0.296546i | ||||
\(870\) | 0.621633 | 0.0210753 | ||||||||
\(871\) | −51.9312 | − | 1.68782i | −1.75962 | − | 0.0571896i | ||||
\(872\) | −34.9523 | −1.18363 | ||||||||
\(873\) | 0.187478 | 0.00634517 | ||||||||
\(874\) | −8.68381 | − | 15.0408i | −0.293734 | − | 0.508763i | ||||
\(875\) | 18.6240 | 0.629606 | ||||||||
\(876\) | 21.8557 | 0.738436 | ||||||||
\(877\) | −1.41176 | + | 2.44525i | −0.0476719 | + | 0.0825701i | −0.888877 | − | 0.458146i | \(-0.848514\pi\) |
0.841205 | + | 0.540717i | \(0.181847\pi\) | |||||||
\(878\) | 7.86127 | − | 13.6161i | 0.265305 | − | 0.459522i | ||||
\(879\) | −1.74959 | − | 3.03037i | −0.0590121 | − | 0.102212i | ||||
\(880\) | −7.01006 | −0.236309 | ||||||||
\(881\) | −7.49892 | −0.252645 | −0.126322 | − | 0.991989i | \(-0.540317\pi\) | ||||
−0.126322 | + | 0.991989i | \(0.540317\pi\) | |||||||
\(882\) | −2.36377 | − | 4.09418i | −0.0795924 | − | 0.137858i | ||||
\(883\) | 12.9689 | 0.436437 | 0.218218 | − | 0.975900i | \(-0.429975\pi\) | ||||
0.218218 | + | 0.975900i | \(0.429975\pi\) | |||||||
\(884\) | −12.6920 | − | 23.7316i | −0.426878 | − | 0.798181i | ||||
\(885\) | 2.43635 | − | 4.21988i | 0.0818970 | − | 0.141850i | ||||
\(886\) | 0.614560 | 0.0206465 | ||||||||
\(887\) | 12.9789 | + | 22.4801i | 0.435789 | + | 0.754809i | 0.997360 | − | 0.0726196i | \(-0.0231359\pi\) |
−0.561570 | + | 0.827429i | \(0.689803\pi\) | |||||||
\(888\) | 8.42177 | − | 14.5869i | 0.282616 | − | 0.489506i | ||||
\(889\) | 12.6792 | + | 21.9611i | 0.425248 | + | 0.736551i | ||||
\(890\) | −1.46888 | + | 2.54417i | −0.0492369 | + | 0.0852809i | ||||
\(891\) | −4.58793 | − | 7.94653i | −0.153701 | − | 0.266219i | ||||
\(892\) | 17.8166 | − | 30.8592i | 0.596542 | − | 1.03324i | ||||
\(893\) | −91.9793 | −3.07797 | ||||||||
\(894\) | 8.62940 | 0.288610 | ||||||||
\(895\) | −17.0255 | + | 29.4891i | −0.569100 | + | 0.985711i | ||||
\(896\) | −8.16076 | + | 14.1348i | −0.272632 | + | 0.472212i | ||||
\(897\) | 14.2034 | + | 0.461626i | 0.474238 | + | 0.0154132i | ||||
\(898\) | 11.8498 | 0.395432 | ||||||||
\(899\) | 0.393240 | − | 2.41429i | 0.0131153 | − | 0.0805212i | ||||
\(900\) | 2.66413 | − | 4.61441i | 0.0888045 | − | 0.153814i | ||||
\(901\) | −9.54832 | − | 16.5382i | −0.318101 | − | 0.550966i | ||||
\(902\) | 0.316519 | − | 0.548227i | 0.0105389 | − | 0.0182540i | ||||
\(903\) | −3.93031 | − | 6.80749i | −0.130792 | − | 0.226539i | ||||
\(904\) | 10.1809 | − | 17.6339i | 0.338613 | − | 0.586495i | ||||
\(905\) | −13.1946 | + | 22.8538i | −0.438604 | + | 0.759684i | ||||
\(906\) | −17.2317 | −0.572484 | ||||||||
\(907\) | −1.85369 | + | 3.21068i | −0.0615507 | + | 0.106609i | −0.895159 | − | 0.445747i | \(-0.852938\pi\) |
0.833608 | + | 0.552356i | \(0.186271\pi\) | |||||||
\(908\) | 16.5937 | 0.550682 | ||||||||
\(909\) | −0.186180 | − | 0.322473i | −0.00617519 | − | 0.0106957i | ||||
\(910\) | 6.42647 | + | 0.208867i | 0.213035 | + | 0.00692388i | ||||
\(911\) | 9.51054 | − | 16.4727i | 0.315098 | − | 0.545766i | −0.664360 | − | 0.747413i | \(-0.731296\pi\) |
0.979458 | + | 0.201647i | \(0.0646292\pi\) | |||||||
\(912\) | −11.4569 | −0.379376 | ||||||||
\(913\) | −11.0362 | − | 19.1152i | −0.365243 | − | 0.632620i | ||||
\(914\) | −9.10881 | − | 15.7769i | −0.301293 | − | 0.521854i | ||||
\(915\) | −0.388828 | −0.0128543 | ||||||||
\(916\) | −28.8024 | −0.951658 | ||||||||
\(917\) | 15.7658 | − | 27.3072i | 0.520634 | − | 0.901764i | ||||
\(918\) | 9.89682 | − | 17.1418i | 0.326644 | − | 0.565764i | ||||
\(919\) | −13.3338 | + | 23.0949i | −0.439843 | + | 0.761831i | −0.997677 | − | 0.0681220i | \(-0.978299\pi\) |
0.557834 | + | 0.829953i | \(0.311633\pi\) | |||||||
\(920\) | 12.6093 | 0.415717 | ||||||||
\(921\) | −20.8348 | −0.686528 | ||||||||
\(922\) | −2.75518 | −0.0907370 | ||||||||
\(923\) | −1.86187 | + | 2.99570i | −0.0612841 | + | 0.0986047i | ||||
\(924\) | 5.29934 | − | 9.17873i | 0.174336 | − | 0.301958i | ||||
\(925\) | −13.3568 | −0.439169 | ||||||||
\(926\) | 7.55449 | − | 13.0848i | 0.248256 | − | 0.429992i | ||||
\(927\) | 3.28765 | 0.107981 | ||||||||
\(928\) | 2.56634 | 0.0842443 | ||||||||
\(929\) | −11.4190 | − | 19.7782i | −0.374644 | − | 0.648903i | 0.615629 | − | 0.788036i | \(-0.288902\pi\) |
−0.990274 | + | 0.139133i | \(0.955568\pi\) | |||||||
\(930\) | 6.10063 | + | 4.98462i | 0.200048 | + | 0.163452i | ||||
\(931\) | 34.8802 | 1.14315 | ||||||||
\(932\) | 11.8357 | + | 20.5000i | 0.387690 | + | 0.671498i | ||||
\(933\) | 11.1793 | + | 19.3631i | 0.365993 | + | 0.633919i | ||||
\(934\) | −8.66740 | + | 15.0124i | −0.283606 | + | 0.491220i | ||||
\(935\) | 14.6002 | + | 25.2883i | 0.477478 | + | 0.827017i | ||||
\(936\) | 6.90577 | − | 11.1112i | 0.225722 | − | 0.363182i | ||||
\(937\) | 12.8570 | − | 22.2689i | 0.420019 | − | 0.727494i | −0.575922 | − | 0.817505i | \(-0.695357\pi\) |
0.995941 | + | 0.0900110i | \(0.0286902\pi\) | |||||||
\(938\) | 8.05444 | − | 13.9507i | 0.262987 | − | 0.455506i | ||||
\(939\) | 27.2529 | 0.889365 | ||||||||
\(940\) | 14.2575 | − | 24.6948i | 0.465030 | − | 0.805456i | ||||
\(941\) | −10.6799 | − | 18.4980i | −0.348153 | − | 0.603019i | 0.637768 | − | 0.770228i | \(-0.279858\pi\) |
−0.985921 | + | 0.167209i | \(0.946524\pi\) | |||||||
\(942\) | −13.7448 | −0.447831 | ||||||||
\(943\) | 0.384849 | − | 0.666578i | 0.0125324 | − | 0.0217068i | ||||
\(944\) | 1.47775 | − | 2.55953i | 0.0480965 | − | 0.0833056i | ||||
\(945\) | −6.91605 | − | 11.9789i | −0.224979 | − | 0.389675i | ||||
\(946\) | −5.27023 | + | 9.12831i | −0.171350 | + | 0.296787i | ||||
\(947\) | 25.3860 | + | 43.9698i | 0.824933 | + | 1.42883i | 0.901971 | + | 0.431797i | \(0.142120\pi\) |
−0.0770382 | + | 0.997028i | \(0.524546\pi\) | |||||||
\(948\) | 2.55724 | + | 4.42927i | 0.0830553 | + | 0.143856i | ||||
\(949\) | −20.0684 | − | 37.5241i | −0.651448 | − | 1.21808i | ||||
\(950\) | −6.72026 | − | 11.6398i | −0.218034 | − | 0.377646i | ||||
\(951\) | 25.7904 | 0.836312 | ||||||||
\(952\) | 19.5401 | 0.633298 | ||||||||
\(953\) | 19.6022 | + | 33.9521i | 0.634979 | + | 1.09982i | 0.986520 | + | 0.163643i | \(0.0523245\pi\) |
−0.351541 | + | 0.936173i | \(0.614342\pi\) | |||||||
\(954\) | 1.98196 | − | 3.43286i | 0.0641683 | − | 0.111143i | ||||
\(955\) | −38.1132 | −1.23331 | ||||||||
\(956\) | 18.4031 | − | 31.8751i | 0.595199 | − | 1.03092i | ||||
\(957\) | −1.99505 | −0.0644910 | ||||||||
\(958\) | 2.49475 | 0.0806017 | ||||||||
\(959\) | −15.8884 | + | 27.5195i | −0.513063 | + | 0.888651i | ||||
\(960\) | −1.74957 | + | 3.03035i | −0.0564672 | + | 0.0978040i | ||||
\(961\) | 23.2184 | − | 20.5403i | 0.748981 | − | 0.662591i | ||||
\(962\) | −13.9961 | − | 0.454889i | −0.451253 | − | 0.0146662i | ||||
\(963\) | −13.1288 | −0.423071 | ||||||||
\(964\) | −0.0808959 | − | 0.140116i | −0.00260548 | − | 0.00451282i | ||||
\(965\) | −19.4870 | + | 33.7525i | −0.627310 | + | 1.08653i | ||||
\(966\) | −2.20292 | + | 3.81557i | −0.0708779 | + | 0.122764i | ||||
\(967\) | −20.3071 | + | 35.1729i | −0.653032 | + | 1.13108i | 0.329352 | + | 0.944207i | \(0.393170\pi\) |
−0.982383 | + | 0.186877i | \(0.940164\pi\) | |||||||
\(968\) | −5.87527 | −0.188838 | ||||||||
\(969\) | 23.8619 | + | 41.3300i | 0.766555 | + | 1.32771i | ||||
\(970\) | 0.0733053 | + | 0.126968i | 0.00235369 | + | 0.00407671i | ||||
\(971\) | 3.95562 | − | 6.85134i | 0.126942 | − | 0.219870i | −0.795548 | − | 0.605890i | \(-0.792817\pi\) |
0.922490 | + | 0.386020i | \(0.126150\pi\) | |||||||
\(972\) | −20.1075 | −0.644948 | ||||||||
\(973\) | −8.61542 | − | 14.9223i | −0.276198 | − | 0.478389i | ||||
\(974\) | 3.34359 | + | 5.79126i | 0.107135 | + | 0.185564i | ||||
\(975\) | 10.9918 | + | 0.357245i | 0.352019 | + | 0.0114410i | ||||
\(976\) | −0.235840 | −0.00754906 | ||||||||
\(977\) | −2.81457 | + | 4.87498i | −0.0900461 | + | 0.155964i | −0.907530 | − | 0.419987i | \(-0.862035\pi\) |
0.817484 | + | 0.575951i | \(0.195368\pi\) | |||||||
\(978\) | 0.812438 | + | 1.40718i | 0.0259789 | + | 0.0449968i | ||||
\(979\) | 4.71418 | − | 8.16521i | 0.150666 | − | 0.260961i | ||||
\(980\) | −5.40671 | + | 9.36470i | −0.172711 | + | 0.299145i | ||||
\(981\) | 10.2141 | − | 17.6914i | 0.326112 | − | 0.564843i | ||||
\(982\) | 2.48019 | − | 4.29581i | 0.0791459 | − | 0.137085i | ||||
\(983\) | −6.70728 | − | 11.6173i | −0.213929 | − | 0.370536i | 0.739012 | − | 0.673693i | \(-0.235293\pi\) |
−0.952941 | + | 0.303157i | \(0.901959\pi\) | |||||||
\(984\) | 0.375575 | + | 0.650515i | 0.0119729 | + | 0.0207377i | ||||
\(985\) | 7.07171 | + | 12.2486i | 0.225324 | + | 0.390272i | ||||
\(986\) | −0.785295 | − | 1.36017i | −0.0250089 | − | 0.0433167i | ||||
\(987\) | 11.6667 | + | 20.2074i | 0.371356 | + | 0.643208i | ||||
\(988\) | 19.4375 | + | 36.3445i | 0.618390 | + | 1.15627i | ||||
\(989\) | −6.40796 | + | 11.0989i | −0.203761 | + | 0.352925i | ||||
\(990\) | −3.03059 | + | 5.24914i | −0.0963186 | + | 0.166829i | ||||
\(991\) | 2.24466 | − | 3.88787i | 0.0713040 | − | 0.123502i | −0.828169 | − | 0.560478i | \(-0.810617\pi\) |
0.899473 | + | 0.436976i | \(0.143951\pi\) | |||||||
\(992\) | 25.1858 | + | 20.5784i | 0.799648 | + | 0.653366i | ||||
\(993\) | −18.2895 | −0.580401 | ||||||||
\(994\) | −0.546766 | − | 0.947026i | −0.0173424 | − | 0.0300378i | ||||
\(995\) | 0.0345687 | 0.00109590 | ||||||||
\(996\) | 11.1835 | 0.354363 | ||||||||
\(997\) | −6.57944 | + | 11.3959i | −0.208373 | + | 0.360913i | −0.951202 | − | 0.308568i | \(-0.900150\pi\) |
0.742829 | + | 0.669481i | \(0.233483\pi\) | |||||||
\(998\) | −11.0561 | − | 19.1498i | −0.349976 | − | 0.606176i | ||||
\(999\) | 15.0624 | + | 26.0888i | 0.476553 | + | 0.825413i |
(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 | 403.2.e.a.191.14 | ✓ | 70 | |
13.3 | even | 3 | 403.2.g.a.315.14 | yes | 70 | ||
31.25 | even | 3 | 403.2.g.a.87.14 | yes | 70 | ||
403.211 | even | 3 | inner | 403.2.e.a.211.14 | yes | 70 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.e.a.191.14 | ✓ | 70 | 1.1 | even | 1 | trivial | |
403.2.e.a.211.14 | yes | 70 | 403.211 | even | 3 | inner | |
403.2.g.a.87.14 | yes | 70 | 31.25 | even | 3 | ||
403.2.g.a.315.14 | yes | 70 | 13.3 | even | 3 |