Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(11,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 0, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.br (of order \(30\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 930.11 |
Dual form | 930.2.br.b.761.9 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | + | 0.309017i | −0.672499 | + | 0.218508i | ||||
\(3\) | 1.38456 | − | 1.04067i | 0.799378 | − | 0.600829i | ||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | −0.866025 | + | 0.500000i | −0.387298 | + | 0.223607i | ||||
\(6\) | −0.995214 | + | 1.41759i | −0.406294 | + | 0.578727i | ||||
\(7\) | −0.249897 | − | 2.37761i | −0.0944523 | − | 0.898654i | −0.934457 | − | 0.356075i | \(-0.884115\pi\) |
0.840005 | − | 0.542579i | \(-0.182552\pi\) | |||||||
\(8\) | −0.587785 | + | 0.809017i | −0.207813 | + | 0.286031i | ||||
\(9\) | 0.834029 | − | 2.88173i | 0.278010 | − | 0.960578i | ||||
\(10\) | 0.669131 | − | 0.743145i | 0.211598 | − | 0.235003i | ||||
\(11\) | −1.10532 | − | 0.492120i | −0.333266 | − | 0.148380i | 0.233280 | − | 0.972410i | \(-0.425054\pi\) |
−0.566546 | + | 0.824030i | \(0.691721\pi\) | |||||||
\(12\) | 0.508447 | − | 1.65574i | 0.146776 | − | 0.477972i | ||||
\(13\) | 0.245675 | + | 1.15581i | 0.0681379 | + | 0.320563i | 0.998995 | − | 0.0448197i | \(-0.0142713\pi\) |
−0.930857 | + | 0.365383i | \(0.880938\pi\) | |||||||
\(14\) | 0.972390 | + | 2.18402i | 0.259882 | + | 0.583705i | ||||
\(15\) | −0.678734 | + | 1.59352i | −0.175248 | + | 0.411446i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 3.53967 | − | 1.57596i | 0.858496 | − | 0.382227i | 0.0702070 | − | 0.997532i | \(-0.477634\pi\) |
0.788289 | + | 0.615306i | \(0.210967\pi\) | |||||||
\(18\) | 0.0972966 | + | 2.99842i | 0.0229330 | + | 0.706735i | ||||
\(19\) | 0.0990872 | + | 0.0210616i | 0.0227322 | + | 0.00483187i | 0.219264 | − | 0.975666i | \(-0.429634\pi\) |
−0.196532 | + | 0.980497i | \(0.562968\pi\) | |||||||
\(20\) | −0.406737 | + | 0.913545i | −0.0909491 | + | 0.204275i | ||||
\(21\) | −2.82030 | − | 3.03190i | −0.615440 | − | 0.661614i | ||||
\(22\) | 1.20329 | + | 0.126471i | 0.256543 | + | 0.0269638i | ||||
\(23\) | −3.15414 | − | 2.29162i | −0.657684 | − | 0.477836i | 0.208196 | − | 0.978087i | \(-0.433241\pi\) |
−0.865880 | + | 0.500251i | \(0.833241\pi\) | |||||||
\(24\) | 0.0280908 | + | 1.73182i | 0.00573401 | + | 0.353507i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −0.590815 | − | 1.02332i | −0.115868 | − | 0.200690i | ||||
\(27\) | −1.84416 | − | 4.85789i | −0.354908 | − | 0.934901i | ||||
\(28\) | −1.59970 | − | 1.77664i | −0.302315 | − | 0.335754i | ||||
\(29\) | −1.74063 | − | 5.35710i | −0.323227 | − | 0.994789i | −0.972235 | − | 0.234008i | \(-0.924816\pi\) |
0.649008 | − | 0.760781i | \(-0.275184\pi\) | |||||||
\(30\) | 0.153088 | − | 1.72527i | 0.0279499 | − | 0.314990i | ||||
\(31\) | −5.34746 | − | 1.55069i | −0.960433 | − | 0.278512i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −2.04252 | + | 0.468897i | −0.355556 | + | 0.0816245i | ||||
\(34\) | −2.87943 | + | 2.59265i | −0.493817 | + | 0.444635i | ||||
\(35\) | 1.40522 | + | 1.93413i | 0.237526 | + | 0.326927i | ||||
\(36\) | −1.01910 | − | 2.82160i | −0.169850 | − | 0.470267i | ||||
\(37\) | 1.25459 | + | 0.724340i | 0.206254 | + | 0.119081i | 0.599569 | − | 0.800323i | \(-0.295339\pi\) |
−0.393315 | + | 0.919404i | \(0.628672\pi\) | |||||||
\(38\) | −0.100746 | + | 0.0105888i | −0.0163432 | + | 0.00171773i | ||||
\(39\) | 1.54296 | + | 1.34462i | 0.247072 | + | 0.215312i | ||||
\(40\) | 0.104528 | − | 0.994522i | 0.0165274 | − | 0.157248i | ||||
\(41\) | −2.78603 | − | 2.50855i | −0.435104 | − | 0.391770i | 0.422264 | − | 0.906473i | \(-0.361235\pi\) |
−0.857368 | + | 0.514703i | \(0.827902\pi\) | |||||||
\(42\) | 3.61917 | + | 2.01198i | 0.558451 | + | 0.310456i | ||||
\(43\) | 0.549332 | − | 2.58440i | 0.0837724 | − | 0.394118i | −0.916206 | − | 0.400708i | \(-0.868764\pi\) |
0.999978 | + | 0.00658976i | \(0.00209760\pi\) | |||||||
\(44\) | −1.18348 | + | 0.251557i | −0.178417 | + | 0.0379236i | ||||
\(45\) | 0.718577 | + | 2.91267i | 0.107119 | + | 0.434195i | ||||
\(46\) | 3.70792 | + | 1.20478i | 0.546703 | + | 0.177634i | ||||
\(47\) | 2.54004 | + | 0.825307i | 0.370502 | + | 0.120383i | 0.488349 | − | 0.872648i | \(-0.337599\pi\) |
−0.117847 | + | 0.993032i | \(0.537599\pi\) | |||||||
\(48\) | −0.561879 | − | 1.63838i | −0.0811002 | − | 0.236480i | ||||
\(49\) | 1.25643 | − | 0.267062i | 0.179490 | − | 0.0381518i | ||||
\(50\) | −0.207912 | + | 0.978148i | −0.0294032 | + | 0.138331i | ||||
\(51\) | 3.26084 | − | 5.86563i | 0.456609 | − | 0.821353i | ||||
\(52\) | 0.878122 | + | 0.790664i | 0.121774 | + | 0.109645i | ||||
\(53\) | 0.599254 | − | 5.70152i | 0.0823139 | − | 0.783164i | −0.873030 | − | 0.487667i | \(-0.837848\pi\) |
0.955344 | − | 0.295497i | \(-0.0954853\pi\) | |||||||
\(54\) | 3.25507 | + | 4.05025i | 0.442959 | + | 0.551169i | ||||
\(55\) | 1.20329 | − | 0.126471i | 0.162252 | − | 0.0170534i | ||||
\(56\) | 2.07042 | + | 1.19536i | 0.276671 | + | 0.159736i | ||||
\(57\) | 0.159111 | − | 0.0739555i | 0.0210747 | − | 0.00979565i | ||||
\(58\) | 3.31087 | + | 4.55702i | 0.434739 | + | 0.598367i | ||||
\(59\) | −7.17722 | + | 6.46239i | −0.934394 | + | 0.841332i | −0.987558 | − | 0.157254i | \(-0.949736\pi\) |
0.0531642 | + | 0.998586i | \(0.483069\pi\) | |||||||
\(60\) | 0.387543 | + | 1.68814i | 0.0500316 | + | 0.217938i | ||||
\(61\) | − | 11.3964i | − | 1.45915i | −0.683899 | − | 0.729577i | \(-0.739717\pi\) | ||
0.683899 | − | 0.729577i | \(-0.260283\pi\) | |||||||
\(62\) | 5.56493 | − | 0.177661i | 0.706747 | − | 0.0225630i | ||||
\(63\) | −7.06008 | − | 1.26286i | −0.889486 | − | 0.159106i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | −0.790664 | − | 0.878122i | −0.0980699 | − | 0.108918i | ||||
\(66\) | 1.79765 | − | 1.07712i | 0.221275 | − | 0.132584i | ||||
\(67\) | 4.00396 | + | 6.93507i | 0.489162 | + | 0.847253i | 0.999922 | − | 0.0124699i | \(-0.00396940\pi\) |
−0.510760 | + | 0.859723i | \(0.670636\pi\) | |||||||
\(68\) | 1.93732 | − | 3.35555i | 0.234935 | − | 0.406920i | ||||
\(69\) | −6.75192 | + | 0.109519i | −0.812836 | + | 0.0131845i | ||||
\(70\) | −1.93413 | − | 1.40522i | −0.231172 | − | 0.167956i | ||||
\(71\) | −10.6927 | − | 1.12385i | −1.26899 | − | 0.133376i | −0.554004 | − | 0.832514i | \(-0.686901\pi\) |
−0.714987 | + | 0.699138i | \(0.753567\pi\) | |||||||
\(72\) | 1.84114 | + | 2.36858i | 0.216981 | + | 0.279140i | ||||
\(73\) | −2.36384 | + | 5.30927i | −0.276666 | + | 0.621403i | −0.997420 | − | 0.0717888i | \(-0.977129\pi\) |
0.720754 | + | 0.693191i | \(0.243796\pi\) | |||||||
\(74\) | −1.41702 | − | 0.301198i | −0.164726 | − | 0.0350135i | ||||
\(75\) | −0.208962 | − | 1.71940i | −0.0241288 | − | 0.198539i | ||||
\(76\) | 0.0925430 | − | 0.0412028i | 0.0106154 | − | 0.00472628i | ||||
\(77\) | −0.893855 | + | 2.75100i | −0.101864 | + | 0.313506i | ||||
\(78\) | −1.88296 | − | 0.802012i | −0.213203 | − | 0.0908099i | ||||
\(79\) | 4.22491 | + | 9.48930i | 0.475340 | + | 1.06763i | 0.979024 | + | 0.203743i | \(0.0653106\pi\) |
−0.503685 | + | 0.863887i | \(0.668023\pi\) | |||||||
\(80\) | 0.207912 | + | 0.978148i | 0.0232452 | + | 0.109360i | ||||
\(81\) | −7.60879 | − | 4.80690i | −0.845421 | − | 0.534100i | ||||
\(82\) | 3.42485 | + | 1.52484i | 0.378212 | + | 0.168391i | ||||
\(83\) | 4.71135 | − | 5.23248i | 0.517138 | − | 0.574340i | −0.426849 | − | 0.904323i | \(-0.640376\pi\) |
0.943987 | + | 0.329983i | \(0.107043\pi\) | |||||||
\(84\) | −4.06378 | − | 0.795125i | −0.443394 | − | 0.0867553i | ||||
\(85\) | −2.27746 | + | 3.13466i | −0.247025 | + | 0.340001i | ||||
\(86\) | 0.276179 | + | 2.62767i | 0.0297811 | + | 0.283349i | ||||
\(87\) | −7.98496 | − | 5.60583i | −0.856078 | − | 0.601008i | ||||
\(88\) | 1.04782 | − | 0.604961i | 0.111698 | − | 0.0644891i | ||||
\(89\) | 4.63131 | − | 3.36485i | 0.490918 | − | 0.356673i | −0.314619 | − | 0.949218i | \(-0.601877\pi\) |
0.805537 | + | 0.592545i | \(0.201877\pi\) | |||||||
\(90\) | −1.58347 | − | 2.54806i | −0.166913 | − | 0.268589i | ||||
\(91\) | 2.68667 | − | 0.872953i | 0.281640 | − | 0.0915103i | ||||
\(92\) | −3.89874 | −0.406471 | ||||||||
\(93\) | −9.01765 | + | 3.41789i | −0.935087 | + | 0.354419i | ||||
\(94\) | −2.67075 | −0.275467 | ||||||||
\(95\) | −0.0963429 | + | 0.0313037i | −0.00988457 | + | 0.00321169i | ||||
\(96\) | 1.04067 | + | 1.38456i | 0.106213 | + | 0.141311i | ||||
\(97\) | 2.86853 | − | 2.08411i | 0.291255 | − | 0.211610i | −0.432556 | − | 0.901607i | \(-0.642388\pi\) |
0.723812 | + | 0.689997i | \(0.242388\pi\) | |||||||
\(98\) | −1.11241 | + | 0.642250i | −0.112370 | + | 0.0648770i | ||||
\(99\) | −2.34003 | + | 2.77479i | −0.235181 | + | 0.278877i | ||||
\(100\) | −0.104528 | − | 0.994522i | −0.0104528 | − | 0.0994522i | ||||
\(101\) | 4.17324 | − | 5.74397i | 0.415253 | − | 0.571547i | −0.549237 | − | 0.835667i | \(-0.685081\pi\) |
0.964490 | + | 0.264120i | \(0.0850815\pi\) | |||||||
\(102\) | −1.28867 | + | 6.58620i | −0.127597 | + | 0.652131i | ||||
\(103\) | 5.54621 | − | 6.15969i | 0.546484 | − | 0.606933i | −0.405118 | − | 0.914264i | \(-0.632770\pi\) |
0.951602 | + | 0.307332i | \(0.0994362\pi\) | |||||||
\(104\) | −1.07947 | − | 0.480612i | −0.105851 | − | 0.0471279i | ||||
\(105\) | 3.95840 | + | 1.21555i | 0.386300 | + | 0.118625i | ||||
\(106\) | 1.19194 | + | 5.60765i | 0.115772 | + | 0.544663i | ||||
\(107\) | 6.45963 | + | 14.5086i | 0.624476 | + | 1.40260i | 0.897684 | + | 0.440640i | \(0.145249\pi\) |
−0.273208 | + | 0.961955i | \(0.588085\pi\) | |||||||
\(108\) | −4.34735 | − | 2.84615i | −0.418324 | − | 0.273870i | ||||
\(109\) | 1.60032 | − | 4.92527i | 0.153282 | − | 0.471755i | −0.844700 | − | 0.535239i | \(-0.820221\pi\) |
0.997983 | + | 0.0634846i | \(0.0202214\pi\) | |||||||
\(110\) | −1.10532 | + | 0.492120i | −0.105388 | + | 0.0469218i | ||||
\(111\) | 2.49086 | − | 0.302719i | 0.236422 | − | 0.0287328i | ||||
\(112\) | −2.33847 | − | 0.497057i | −0.220965 | − | 0.0469675i | ||||
\(113\) | 4.98372 | − | 11.1936i | 0.468829 | − | 1.05301i | −0.512150 | − | 0.858896i | \(-0.671151\pi\) |
0.980979 | − | 0.194112i | \(-0.0621825\pi\) | |||||||
\(114\) | −0.128470 | + | 0.119504i | −0.0120323 | + | 0.0111926i | ||||
\(115\) | 3.87738 | + | 0.407529i | 0.361567 | + | 0.0380023i | ||||
\(116\) | −4.55702 | − | 3.31087i | −0.423109 | − | 0.307407i | ||||
\(117\) | 3.53563 | + | 0.256008i | 0.326869 | + | 0.0236680i | ||||
\(118\) | 4.82895 | − | 8.36398i | 0.444541 | − | 0.769967i | ||||
\(119\) | −4.63158 | − | 8.02214i | −0.424577 | − | 0.735388i | ||||
\(120\) | −0.890239 | − | 1.48576i | −0.0812673 | − | 0.135630i | ||||
\(121\) | −6.38089 | − | 7.08670i | −0.580081 | − | 0.644245i | ||||
\(122\) | 3.52167 | + | 10.8386i | 0.318837 | + | 0.981279i | ||||
\(123\) | −6.46799 | − | 0.573922i | −0.583199 | − | 0.0517488i | ||||
\(124\) | −5.23766 | + | 1.88862i | −0.470356 | + | 0.169603i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 7.10478 | − | 0.980632i | 0.632944 | − | 0.0873616i | ||||
\(127\) | −10.1235 | + | 9.11522i | −0.898314 | + | 0.808845i | −0.982240 | − | 0.187627i | \(-0.939920\pi\) |
0.0839268 | + | 0.996472i | \(0.473254\pi\) | |||||||
\(128\) | 0.587785 | + | 0.809017i | 0.0519534 | + | 0.0715077i | ||||
\(129\) | −1.92892 | − | 4.14994i | −0.169832 | − | 0.365382i | ||||
\(130\) | 1.02332 | + | 0.590815i | 0.0897512 | + | 0.0518179i | ||||
\(131\) | 1.28517 | − | 0.135076i | 0.112286 | − | 0.0118017i | −0.0482190 | − | 0.998837i | \(-0.515355\pi\) |
0.160505 | + | 0.987035i | \(0.448688\pi\) | |||||||
\(132\) | −1.37682 | + | 1.57991i | −0.119837 | + | 0.137513i | ||||
\(133\) | 0.0253148 | − | 0.240854i | 0.00219507 | − | 0.0208847i | ||||
\(134\) | −5.95105 | − | 5.35835i | −0.514092 | − | 0.462891i | ||||
\(135\) | 4.02603 | + | 3.28498i | 0.346506 | + | 0.282726i | ||||
\(136\) | −0.805585 | + | 3.78998i | −0.0690783 | + | 0.324988i | ||||
\(137\) | 9.30604 | − | 1.97806i | 0.795069 | − | 0.168997i | 0.207568 | − | 0.978221i | \(-0.433445\pi\) |
0.587501 | + | 0.809224i | \(0.300112\pi\) | |||||||
\(138\) | 6.38761 | − | 2.19062i | 0.543750 | − | 0.186478i | ||||
\(139\) | 13.9471 | + | 4.53168i | 1.18298 | + | 0.384372i | 0.833471 | − | 0.552563i | \(-0.186350\pi\) |
0.349504 | + | 0.936935i | \(0.386350\pi\) | |||||||
\(140\) | 2.27370 | + | 0.738770i | 0.192163 | + | 0.0624375i | ||||
\(141\) | 4.37571 | − | 1.50064i | 0.368501 | − | 0.126377i | ||||
\(142\) | 10.5167 | − | 2.23538i | 0.882538 | − | 0.187589i | ||||
\(143\) | 0.297247 | − | 1.39844i | 0.0248570 | − | 0.116943i | ||||
\(144\) | −2.48296 | − | 1.68371i | −0.206914 | − | 0.140309i | ||||
\(145\) | 4.18598 | + | 3.76907i | 0.347627 | + | 0.313004i | ||||
\(146\) | 0.607490 | − | 5.77988i | 0.0502762 | − | 0.478346i | ||||
\(147\) | 1.46168 | − | 1.67729i | 0.120558 | − | 0.138340i | ||||
\(148\) | 1.44074 | − | 0.151428i | 0.118428 | − | 0.0124473i | ||||
\(149\) | −1.63220 | − | 0.942354i | −0.133715 | − | 0.0772006i | 0.431650 | − | 0.902041i | \(-0.357932\pi\) |
−0.565365 | + | 0.824841i | \(0.691265\pi\) | |||||||
\(150\) | 0.730058 | + | 1.57067i | 0.0596090 | + | 0.128245i | ||||
\(151\) | −5.49870 | − | 7.56831i | −0.447478 | − | 0.615901i | 0.524375 | − | 0.851487i | \(-0.324299\pi\) |
−0.971853 | + | 0.235587i | \(0.924299\pi\) | |||||||
\(152\) | −0.0752812 | + | 0.0677835i | −0.00610611 | + | 0.00549797i | ||||
\(153\) | −1.58932 | − | 11.5148i | −0.128489 | − | 0.930915i | ||||
\(154\) | − | 2.89257i | − | 0.233090i | ||||||
\(155\) | 5.40638 | − | 1.33079i | 0.434251 | − | 0.106892i | ||||
\(156\) | 2.03863 | + | 0.180893i | 0.163221 | + | 0.0144830i | ||||
\(157\) | 3.22348 | + | 9.92085i | 0.257262 | + | 0.791770i | 0.993376 | + | 0.114912i | \(0.0366587\pi\) |
−0.736114 | + | 0.676857i | \(0.763341\pi\) | |||||||
\(158\) | −6.95049 | − | 7.71930i | −0.552951 | − | 0.614114i | ||||
\(159\) | −5.10367 | − | 8.51774i | −0.404748 | − | 0.675500i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −4.66038 | + | 8.07201i | −0.367289 | + | 0.636163i | ||||
\(162\) | 8.72180 | + | 2.22039i | 0.685250 | + | 0.174450i | ||||
\(163\) | 13.3181 | + | 9.67618i | 1.04316 | + | 0.757897i | 0.970899 | − | 0.239489i | \(-0.0769800\pi\) |
0.0722564 | + | 0.997386i | \(0.476980\pi\) | |||||||
\(164\) | −3.72843 | − | 0.391874i | −0.291142 | − | 0.0306002i | ||||
\(165\) | 1.53442 | − | 1.42733i | 0.119455 | − | 0.111118i | ||||
\(166\) | −2.86383 | + | 6.43227i | −0.222277 | + | 0.499241i | ||||
\(167\) | −2.65771 | − | 0.564914i | −0.205660 | − | 0.0437144i | 0.103930 | − | 0.994585i | \(-0.466858\pi\) |
−0.309590 | + | 0.950870i | \(0.600192\pi\) | |||||||
\(168\) | 4.11059 | − | 0.499567i | 0.317139 | − | 0.0385424i | ||||
\(169\) | 10.6006 | − | 4.71967i | 0.815427 | − | 0.363052i | ||||
\(170\) | 1.19733 | − | 3.68501i | 0.0918312 | − | 0.282627i | ||||
\(171\) | 0.143336 | − | 0.267977i | 0.0109612 | − | 0.0204927i | ||||
\(172\) | −1.07466 | − | 2.41372i | −0.0819417 | − | 0.184044i | ||||
\(173\) | 0.596310 | + | 2.80542i | 0.0453366 | + | 0.213292i | 0.994985 | − | 0.100026i | \(-0.0318927\pi\) |
−0.949648 | + | 0.313318i | \(0.898559\pi\) | |||||||
\(174\) | 9.32645 | + | 2.86397i | 0.707036 | + | 0.217117i | ||||
\(175\) | −2.18402 | − | 0.972390i | −0.165097 | − | 0.0735058i | ||||
\(176\) | −0.809596 | + | 0.899147i | −0.0610256 | + | 0.0677758i | ||||
\(177\) | −3.21211 | + | 16.4167i | −0.241437 | + | 1.23395i | ||||
\(178\) | −3.36485 | + | 4.63131i | −0.252206 | + | 0.347132i | ||||
\(179\) | −0.861720 | − | 8.19872i | −0.0644080 | − | 0.612801i | −0.978350 | − | 0.206957i | \(-0.933644\pi\) |
0.913942 | − | 0.405845i | \(-0.133023\pi\) | |||||||
\(180\) | 2.29337 | + | 1.93403i | 0.170937 | + | 0.144154i | ||||
\(181\) | 6.24798 | − | 3.60727i | 0.464408 | − | 0.268126i | −0.249488 | − | 0.968378i | \(-0.580262\pi\) |
0.713896 | + | 0.700252i | \(0.246929\pi\) | |||||||
\(182\) | −2.28542 | + | 1.66046i | −0.169407 | + | 0.123081i | ||||
\(183\) | −11.8598 | − | 15.7790i | −0.876701 | − | 1.16641i | ||||
\(184\) | 3.70792 | − | 1.20478i | 0.273351 | − | 0.0888172i | ||||
\(185\) | −1.44868 | −0.106509 | ||||||||
\(186\) | 7.52011 | − | 6.03722i | 0.551401 | − | 0.442670i | ||||
\(187\) | −4.68802 | −0.342822 | ||||||||
\(188\) | 2.54004 | − | 0.825307i | 0.185251 | − | 0.0601917i | ||||
\(189\) | −11.0893 | + | 5.59867i | −0.806631 | + | 0.407243i | ||||
\(190\) | 0.0819541 | − | 0.0595432i | 0.00594558 | − | 0.00431972i | ||||
\(191\) | −6.63369 | + | 3.82996i | −0.479997 | + | 0.277126i | −0.720415 | − | 0.693543i | \(-0.756049\pi\) |
0.240418 | + | 0.970669i | \(0.422715\pi\) | |||||||
\(192\) | −1.41759 | − | 0.995214i | −0.102305 | − | 0.0718234i | ||||
\(193\) | 2.28405 | + | 21.7313i | 0.164409 | + | 1.56425i | 0.696496 | + | 0.717560i | \(0.254741\pi\) |
−0.532087 | + | 0.846690i | \(0.678592\pi\) | |||||||
\(194\) | −2.08411 | + | 2.86853i | −0.149631 | + | 0.205949i | ||||
\(195\) | −2.00856 | − | 0.392997i | −0.143836 | − | 0.0281431i | ||||
\(196\) | 0.859498 | − | 0.954569i | 0.0613927 | − | 0.0681835i | ||||
\(197\) | 13.7483 | + | 6.12112i | 0.979524 | + | 0.436112i | 0.833108 | − | 0.553111i | \(-0.186559\pi\) |
0.146416 | + | 0.989223i | \(0.453226\pi\) | |||||||
\(198\) | 1.36804 | − | 3.36209i | 0.0972222 | − | 0.238934i | ||||
\(199\) | 4.10633 | + | 19.3188i | 0.291090 | + | 1.36947i | 0.844051 | + | 0.536264i | \(0.180165\pi\) |
−0.552961 | + | 0.833207i | \(0.686502\pi\) | |||||||
\(200\) | 0.406737 | + | 0.913545i | 0.0287606 | + | 0.0645974i | ||||
\(201\) | 12.7608 | + | 5.43525i | 0.900079 | + | 0.383373i | ||||
\(202\) | −2.19400 | + | 6.75245i | −0.154370 | + | 0.475100i | ||||
\(203\) | −12.3021 | + | 5.47727i | −0.863442 | + | 0.384429i | ||||
\(204\) | −0.809653 | − | 6.66207i | −0.0566871 | − | 0.466438i | ||||
\(205\) | 3.66705 | + | 0.779455i | 0.256118 | + | 0.0544395i | ||||
\(206\) | −3.37131 | + | 7.57209i | −0.234890 | + | 0.527572i | ||||
\(207\) | −9.23449 | + | 7.17813i | −0.641841 | + | 0.498914i | ||||
\(208\) | 1.17516 | + | 0.123514i | 0.0814824 | + | 0.00856415i | ||||
\(209\) | −0.0991581 | − | 0.0720426i | −0.00685891 | − | 0.00498329i | ||||
\(210\) | −4.14029 | + | 0.0671570i | −0.285707 | + | 0.00463427i | ||||
\(211\) | −1.01522 | + | 1.75841i | −0.0698904 | + | 0.121054i | −0.898853 | − | 0.438250i | \(-0.855598\pi\) |
0.828962 | + | 0.559304i | \(0.188932\pi\) | |||||||
\(212\) | −2.86646 | − | 4.96486i | −0.196869 | − | 0.340988i | ||||
\(213\) | −15.9743 | + | 9.57150i | −1.09454 | + | 0.655828i | ||||
\(214\) | −10.6269 | − | 11.8023i | −0.726437 | − | 0.806790i | ||||
\(215\) | 0.816467 | + | 2.51283i | 0.0556826 | + | 0.171373i | ||||
\(216\) | 5.01408 | + | 1.36344i | 0.341165 | + | 0.0927703i | ||||
\(217\) | −2.35063 | + | 13.1017i | −0.159571 | + | 0.889403i | ||||
\(218\) | 5.17873i | 0.350748i | ||||||||
\(219\) | 2.25229 | + | 9.81098i | 0.152196 | + | 0.662964i | ||||
\(220\) | 0.899147 | − | 0.809596i | 0.0606205 | − | 0.0545829i | ||||
\(221\) | 2.69112 | + | 3.70400i | 0.181024 | + | 0.249158i | ||||
\(222\) | −2.27540 | + | 1.05762i | −0.152715 | + | 0.0709829i | ||||
\(223\) | 7.44401 | + | 4.29780i | 0.498488 | + | 0.287802i | 0.728089 | − | 0.685483i | \(-0.240409\pi\) |
−0.229601 | + | 0.973285i | \(0.573742\pi\) | |||||||
\(224\) | 2.37761 | − | 0.249897i | 0.158861 | − | 0.0166970i | ||||
\(225\) | −2.07864 | − | 2.16316i | −0.138576 | − | 0.144211i | ||||
\(226\) | −1.28078 | + | 12.1858i | −0.0851963 | + | 0.810589i | ||||
\(227\) | 16.4788 | + | 14.8376i | 1.09374 | + | 0.984805i | 0.999942 | − | 0.0107864i | \(-0.00343347\pi\) |
0.0937951 | + | 0.995592i | \(0.470100\pi\) | |||||||
\(228\) | 0.0852532 | − | 0.153354i | 0.00564603 | − | 0.0101561i | ||||
\(229\) | −2.31325 | + | 10.8830i | −0.152864 | + | 0.719167i | 0.833223 | + | 0.552937i | \(0.186493\pi\) |
−0.986087 | + | 0.166231i | \(0.946840\pi\) | |||||||
\(230\) | −3.81354 | + | 0.810593i | −0.251457 | + | 0.0534489i | ||||
\(231\) | 1.62528 | + | 4.73914i | 0.106935 | + | 0.311812i | ||||
\(232\) | 5.35710 | + | 1.74063i | 0.351711 | + | 0.114278i | ||||
\(233\) | 3.65792 | + | 1.18853i | 0.239638 | + | 0.0778631i | 0.426374 | − | 0.904547i | \(-0.359791\pi\) |
−0.186736 | + | 0.982410i | \(0.559791\pi\) | |||||||
\(234\) | −3.44170 | + | 0.849092i | −0.224991 | + | 0.0555069i | ||||
\(235\) | −2.61239 | + | 0.555280i | −0.170413 | + | 0.0362225i | ||||
\(236\) | −2.00799 | + | 9.44685i | −0.130709 | + | 0.614938i | ||||
\(237\) | 15.7249 | + | 8.74182i | 1.02144 | + | 0.567842i | ||||
\(238\) | 6.88388 | + | 6.19827i | 0.446215 | + | 0.401774i | ||||
\(239\) | 0.622640 | − | 5.92403i | 0.0402753 | − | 0.383194i | −0.955754 | − | 0.294167i | \(-0.904958\pi\) |
0.996029 | − | 0.0890264i | \(-0.0283756\pi\) | |||||||
\(240\) | 1.30579 | + | 1.13794i | 0.0842885 | + | 0.0734537i | ||||
\(241\) | −20.7000 | + | 2.17565i | −1.33340 | + | 0.140146i | −0.744264 | − | 0.667886i | \(-0.767199\pi\) |
−0.589138 | + | 0.808032i | \(0.700533\pi\) | |||||||
\(242\) | 8.25850 | + | 4.76804i | 0.530876 | + | 0.306502i | ||||
\(243\) | −15.5372 | + | 1.26276i | −0.996714 | + | 0.0810059i | ||||
\(244\) | −6.69861 | − | 9.21984i | −0.428834 | − | 0.590240i | ||||
\(245\) | −0.954569 | + | 0.859498i | −0.0609852 | + | 0.0549113i | ||||
\(246\) | 6.32878 | − | 1.45289i | 0.403508 | − | 0.0926327i | ||||
\(247\) | 0.119700i | 0.00761634i | ||||||||
\(248\) | 4.39770 | − | 3.41471i | 0.279254 | − | 0.216835i | ||||
\(249\) | 1.07789 | − | 12.1476i | 0.0683086 | − | 0.769826i | ||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | 2.07968 | + | 2.30971i | 0.131268 | + | 0.145788i | 0.805195 | − | 0.593010i | \(-0.202061\pi\) |
−0.673927 | + | 0.738798i | \(0.735394\pi\) | |||||||
\(252\) | −6.45401 | + | 3.12813i | −0.406565 | + | 0.197054i | ||||
\(253\) | 2.35858 | + | 4.08519i | 0.148283 | + | 0.256833i | ||||
\(254\) | 6.81124 | − | 11.7974i | 0.427375 | − | 0.740236i | ||||
\(255\) | 0.108842 | + | 6.71021i | 0.00681595 | + | 0.420209i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 28.3682 | + | 2.98162i | 1.76956 | + | 0.185988i | 0.932512 | − | 0.361139i | \(-0.117612\pi\) |
0.837050 | + | 0.547127i | \(0.184279\pi\) | |||||||
\(258\) | 3.11691 | + | 3.35076i | 0.194050 | + | 0.208609i | ||||
\(259\) | 1.40868 | − | 3.16395i | 0.0875312 | − | 0.196598i | ||||
\(260\) | −1.15581 | − | 0.245675i | −0.0716802 | − | 0.0152361i | ||||
\(261\) | −16.8895 | + | 0.548051i | −1.04543 | + | 0.0339235i | ||||
\(262\) | −1.18053 | + | 0.525604i | −0.0729331 | + | 0.0324719i | ||||
\(263\) | −5.09252 | + | 15.6732i | −0.314018 | + | 0.966449i | 0.662138 | + | 0.749382i | \(0.269649\pi\) |
−0.976157 | + | 0.217068i | \(0.930351\pi\) | |||||||
\(264\) | 0.821215 | − | 1.92804i | 0.0505423 | − | 0.118663i | ||||
\(265\) | 2.33179 | + | 5.23729i | 0.143241 | + | 0.321724i | ||||
\(266\) | 0.0503523 | + | 0.236889i | 0.00308730 | + | 0.0145246i | ||||
\(267\) | 2.91066 | − | 9.47849i | 0.178130 | − | 0.580074i | ||||
\(268\) | 7.31560 | + | 3.25712i | 0.446872 | + | 0.198960i | ||||
\(269\) | −5.37081 | + | 5.96489i | −0.327464 | + | 0.363686i | −0.884286 | − | 0.466946i | \(-0.845354\pi\) |
0.556821 | + | 0.830632i | \(0.312021\pi\) | |||||||
\(270\) | −4.84410 | − | 1.88009i | −0.294802 | − | 0.114418i | ||||
\(271\) | 3.77590 | − | 5.19708i | 0.229369 | − | 0.315700i | −0.678784 | − | 0.734338i | \(-0.737493\pi\) |
0.908153 | + | 0.418638i | \(0.137493\pi\) | |||||||
\(272\) | −0.405011 | − | 3.85342i | −0.0245574 | − | 0.233648i | ||||
\(273\) | 2.81142 | − | 4.00459i | 0.170155 | − | 0.242369i | ||||
\(274\) | −8.23932 | + | 4.75697i | −0.497755 | + | 0.287379i | ||||
\(275\) | −0.978847 | + | 0.711174i | −0.0590267 | + | 0.0428854i | ||||
\(276\) | −5.39805 | + | 4.05728i | −0.324924 | + | 0.244220i | ||||
\(277\) | 3.61479 | − | 1.17452i | 0.217192 | − | 0.0705698i | −0.198400 | − | 0.980121i | \(-0.563575\pi\) |
0.415592 | + | 0.909551i | \(0.363575\pi\) | |||||||
\(278\) | −14.6648 | −0.879538 | ||||||||
\(279\) | −8.92862 | + | 14.1166i | −0.534543 | + | 0.845142i | ||||
\(280\) | −2.39071 | −0.142872 | ||||||||
\(281\) | 1.64265 | − | 0.533730i | 0.0979925 | − | 0.0318397i | −0.259610 | − | 0.965713i | \(-0.583594\pi\) |
0.357603 | + | 0.933874i | \(0.383594\pi\) | |||||||
\(282\) | −3.69782 | + | 2.77936i | −0.220202 | + | 0.165508i | ||||
\(283\) | −10.5851 | + | 7.69052i | −0.629219 | + | 0.457154i | −0.856129 | − | 0.516761i | \(-0.827137\pi\) |
0.226911 | + | 0.973916i | \(0.427137\pi\) | |||||||
\(284\) | −9.31116 | + | 5.37580i | −0.552516 | + | 0.318995i | ||||
\(285\) | −0.100816 | + | 0.143603i | −0.00597183 | + | 0.00850629i | ||||
\(286\) | 0.149442 | + | 1.42185i | 0.00883670 | + | 0.0840756i | ||||
\(287\) | −5.26815 | + | 7.25098i | −0.310969 | + | 0.428012i | ||||
\(288\) | 2.88173 | + | 0.834029i | 0.169808 | + | 0.0491456i | ||||
\(289\) | −1.32962 | + | 1.47670i | −0.0782131 | + | 0.0868645i | ||||
\(290\) | −5.14581 | − | 2.29106i | −0.302172 | − | 0.134536i | ||||
\(291\) | 1.80280 | − | 5.87077i | 0.105682 | − | 0.344151i | ||||
\(292\) | 1.20832 | + | 5.68471i | 0.0707118 | + | 0.332673i | ||||
\(293\) | 5.83737 | + | 13.1109i | 0.341023 | + | 0.765950i | 0.999906 | + | 0.0137045i | \(0.00436242\pi\) |
−0.658883 | + | 0.752245i | \(0.728971\pi\) | |||||||
\(294\) | −0.871833 | + | 2.04688i | −0.0508463 | + | 0.119377i | ||||
\(295\) | 2.98445 | − | 9.18521i | 0.173762 | − | 0.534783i | ||||
\(296\) | −1.32344 | + | 0.589231i | −0.0769231 | + | 0.0342484i | ||||
\(297\) | −0.352280 | + | 6.27706i | −0.0204413 | + | 0.364232i | ||||
\(298\) | 1.84352 | + | 0.391853i | 0.106792 | + | 0.0226994i | ||||
\(299\) | 1.87378 | − | 4.20858i | 0.108363 | − | 0.243388i | ||||
\(300\) | −1.17969 | − | 1.26820i | −0.0681095 | − | 0.0732195i | ||||
\(301\) | −6.28200 | − | 0.660264i | −0.362088 | − | 0.0380570i | ||||
\(302\) | 7.56831 | + | 5.49870i | 0.435508 | + | 0.316415i | ||||
\(303\) | −0.199443 | − | 12.2958i | −0.0114577 | − | 0.706378i | ||||
\(304\) | 0.0506504 | − | 0.0877291i | 0.00290500 | − | 0.00503161i | ||||
\(305\) | 5.69818 | + | 9.86953i | 0.326277 | + | 0.565128i | ||||
\(306\) | 5.06980 | + | 10.4601i | 0.289821 | + | 0.597963i | ||||
\(307\) | −18.1743 | − | 20.1847i | −1.03726 | − | 1.15200i | −0.988195 | − | 0.153204i | \(-0.951041\pi\) |
−0.0490698 | − | 0.998795i | \(-0.515626\pi\) | |||||||
\(308\) | 0.893855 | + | 2.75100i | 0.0509321 | + | 0.156753i | ||||
\(309\) | 1.26890 | − | 14.3002i | 0.0721850 | − | 0.813512i | ||||
\(310\) | −4.73054 | + | 2.93632i | −0.268677 | + | 0.166772i | ||||
\(311\) | − | 12.2264i | − | 0.693293i | −0.937996 | − | 0.346647i | \(-0.887320\pi\) | ||
0.937996 | − | 0.346647i | \(-0.112680\pi\) | |||||||
\(312\) | −1.99475 | + | 0.457932i | −0.112931 | + | 0.0259253i | ||||
\(313\) | −6.40966 | + | 5.77128i | −0.362295 | + | 0.326212i | −0.830095 | − | 0.557623i | \(-0.811714\pi\) |
0.467799 | + | 0.883835i | \(0.345047\pi\) | |||||||
\(314\) | −6.13142 | − | 8.43917i | −0.346016 | − | 0.476250i | ||||
\(315\) | 6.74564 | − | 2.43637i | 0.380074 | − | 0.137274i | ||||
\(316\) | 8.99570 | + | 5.19367i | 0.506048 | + | 0.292167i | ||||
\(317\) | 18.7212 | − | 1.96767i | 1.05148 | − | 0.110515i | 0.437014 | − | 0.899455i | \(-0.356036\pi\) |
0.614471 | + | 0.788939i | \(0.289369\pi\) | |||||||
\(318\) | 7.48601 | + | 6.52373i | 0.419794 | + | 0.365832i | ||||
\(319\) | −0.712386 | + | 6.77790i | −0.0398860 | + | 0.379490i | ||||
\(320\) | 0.743145 | + | 0.669131i | 0.0415431 | + | 0.0374055i | ||||
\(321\) | 24.0423 | + | 13.3657i | 1.34191 | + | 0.746000i | ||||
\(322\) | 1.93789 | − | 9.11707i | 0.107995 | − | 0.508075i | ||||
\(323\) | 0.383928 | − | 0.0816065i | 0.0213623 | − | 0.00454071i | ||||
\(324\) | −8.98107 | + | 0.583472i | −0.498948 | + | 0.0324151i | ||||
\(325\) | 1.12380 | + | 0.365144i | 0.0623370 | + | 0.0202545i | ||||
\(326\) | −15.6564 | − | 5.08707i | −0.867127 | − | 0.281747i | ||||
\(327\) | −2.90982 | − | 8.48473i | −0.160913 | − | 0.469207i | ||||
\(328\) | 3.66705 | − | 0.779455i | 0.202479 | − | 0.0430382i | ||||
\(329\) | 1.32752 | − | 6.24547i | 0.0731883 | − | 0.344324i | ||||
\(330\) | −1.01825 | + | 1.83164i | −0.0560529 | + | 0.100828i | ||||
\(331\) | 23.5319 | + | 21.1882i | 1.29343 | + | 1.16461i | 0.976347 | + | 0.216211i | \(0.0693700\pi\) |
0.317083 | + | 0.948398i | \(0.397297\pi\) | |||||||
\(332\) | 0.735985 | − | 7.00243i | 0.0403924 | − | 0.384308i | ||||
\(333\) | 3.13372 | − | 3.01129i | 0.171727 | − | 0.165017i | ||||
\(334\) | 2.70220 | − | 0.284013i | 0.147858 | − | 0.0155405i | ||||
\(335\) | −6.93507 | − | 4.00396i | −0.378903 | − | 0.218760i | ||||
\(336\) | −3.75503 | + | 1.74536i | −0.204854 | + | 0.0952171i | ||||
\(337\) | −2.84275 | − | 3.91270i | −0.154854 | − | 0.213139i | 0.724540 | − | 0.689233i | \(-0.242052\pi\) |
−0.879394 | + | 0.476094i | \(0.842052\pi\) | |||||||
\(338\) | −8.62327 | + | 7.76443i | −0.469044 | + | 0.422329i | ||||
\(339\) | −4.74855 | − | 20.6847i | −0.257906 | − | 1.12344i | ||||
\(340\) | 3.87465i | 0.210132i | ||||||||
\(341\) | 5.14752 | + | 4.34560i | 0.278754 | + | 0.235327i | ||||
\(342\) | −0.0535108 | + | 0.299155i | −0.00289353 | + | 0.0161764i | ||||
\(343\) | −6.12034 | − | 18.8365i | −0.330467 | − | 1.01707i | ||||
\(344\) | 1.76794 | + | 1.96349i | 0.0953208 | + | 0.105865i | ||||
\(345\) | 5.79258 | − | 3.47081i | 0.311862 | − | 0.186862i | ||||
\(346\) | −1.43405 | − | 2.48384i | −0.0770948 | − | 0.133532i | ||||
\(347\) | −9.62366 | + | 16.6687i | −0.516625 | + | 0.894821i | 0.483188 | + | 0.875516i | \(0.339479\pi\) |
−0.999814 | + | 0.0193048i | \(0.993855\pi\) | |||||||
\(348\) | −9.75500 | + | 0.158230i | −0.522923 | + | 0.00848200i | ||||
\(349\) | 7.89177 | + | 5.73371i | 0.422437 | + | 0.306918i | 0.778618 | − | 0.627499i | \(-0.215921\pi\) |
−0.356181 | + | 0.934417i | \(0.615921\pi\) | |||||||
\(350\) | 2.37761 | + | 0.249897i | 0.127089 | + | 0.0133576i | ||||
\(351\) | 5.16172 | − | 3.32495i | 0.275512 | − | 0.177473i | ||||
\(352\) | 0.492120 | − | 1.10532i | 0.0262301 | − | 0.0589137i | ||||
\(353\) | 25.7648 | + | 5.47648i | 1.37132 | + | 0.291484i | 0.833940 | − | 0.551855i | \(-0.186080\pi\) |
0.537382 | + | 0.843339i | \(0.319413\pi\) | |||||||
\(354\) | −2.01813 | − | 16.6058i | −0.107262 | − | 0.882588i | ||||
\(355\) | 9.82208 | − | 4.37307i | 0.521302 | − | 0.232099i | ||||
\(356\) | 1.76900 | − | 5.44444i | 0.0937571 | − | 0.288555i | ||||
\(357\) | −14.7611 | − | 6.28722i | −0.781240 | − | 0.332755i | ||||
\(358\) | 3.35309 | + | 7.53116i | 0.177216 | + | 0.398034i | ||||
\(359\) | −6.70560 | − | 31.5474i | −0.353908 | − | 1.66501i | −0.690482 | − | 0.723349i | \(-0.742602\pi\) |
0.336574 | − | 0.941657i | \(-0.390732\pi\) | |||||||
\(360\) | −2.77877 | − | 1.13068i | −0.146454 | − | 0.0595922i | ||||
\(361\) | −17.3480 | − | 7.72382i | −0.913052 | − | 0.406517i | ||||
\(362\) | −4.82747 | + | 5.36145i | −0.253726 | + | 0.281792i | ||||
\(363\) | −16.2096 | − | 3.17160i | −0.850785 | − | 0.166466i | ||||
\(364\) | 1.66046 | − | 2.28542i | 0.0870315 | − | 0.119789i | ||||
\(365\) | −0.607490 | − | 5.77988i | −0.0317975 | − | 0.302533i | ||||
\(366\) | 16.1553 | + | 11.3418i | 0.844451 | + | 0.592846i | ||||
\(367\) | 20.0262 | − | 11.5621i | 1.04536 | − | 0.603537i | 0.124011 | − | 0.992281i | \(-0.460424\pi\) |
0.921346 | + | 0.388743i | \(0.127091\pi\) | |||||||
\(368\) | −3.15414 | + | 2.29162i | −0.164421 | + | 0.119459i | ||||
\(369\) | −9.55260 | + | 5.93639i | −0.497289 | + | 0.309036i | ||||
\(370\) | 1.37778 | − | 0.447667i | 0.0716272 | − | 0.0232731i | ||||
\(371\) | −13.7058 | −0.711568 | ||||||||
\(372\) | −5.28645 | + | 8.06557i | −0.274089 | + | 0.418181i | ||||
\(373\) | −9.82687 | −0.508816 | −0.254408 | − | 0.967097i | \(-0.581881\pi\) | ||||
−0.254408 | + | 0.967097i | \(0.581881\pi\) | |||||||
\(374\) | 4.45858 | − | 1.44868i | 0.230547 | − | 0.0749094i | ||||
\(375\) | 1.04067 | + | 1.38456i | 0.0537398 | + | 0.0714985i | ||||
\(376\) | −2.16068 | + | 1.56983i | −0.111429 | + | 0.0809577i | ||||
\(377\) | 5.76415 | − | 3.32794i | 0.296869 | − | 0.171397i | ||||
\(378\) | 8.81650 | − | 8.75145i | 0.453472 | − | 0.450126i | ||||
\(379\) | −1.98672 | − | 18.9024i | −0.102051 | − | 0.970949i | −0.919005 | − | 0.394246i | \(-0.871006\pi\) |
0.816954 | − | 0.576703i | \(-0.195661\pi\) | |||||||
\(380\) | −0.0595432 | + | 0.0819541i | −0.00305450 | + | 0.00420416i | ||||
\(381\) | −4.53069 | + | 23.1558i | −0.232114 | + | 1.18631i | ||||
\(382\) | 5.12549 | − | 5.69243i | 0.262243 | − | 0.291250i | ||||
\(383\) | −12.8005 | − | 5.69917i | −0.654077 | − | 0.291214i | 0.0527421 | − | 0.998608i | \(-0.483204\pi\) |
−0.706819 | + | 0.707394i | \(0.749871\pi\) | |||||||
\(384\) | 1.65574 | + | 0.508447i | 0.0844942 | + | 0.0259466i | ||||
\(385\) | −0.601400 | − | 2.82936i | −0.0306502 | − | 0.144198i | ||||
\(386\) | −8.88758 | − | 19.9618i | −0.452366 | − | 1.01603i | ||||
\(387\) | −6.98941 | − | 3.73850i | −0.355292 | − | 0.190039i | ||||
\(388\) | 1.09568 | − | 3.37216i | 0.0556249 | − | 0.171196i | ||||
\(389\) | 24.7962 | − | 11.0400i | 1.25722 | − | 0.559750i | 0.333474 | − | 0.942759i | \(-0.391779\pi\) |
0.923744 | + | 0.383010i | \(0.125112\pi\) | |||||||
\(390\) | 2.03169 | − | 0.246915i | 0.102879 | − | 0.0125030i | ||||
\(391\) | −14.7761 | − | 3.14076i | −0.747261 | − | 0.158835i | ||||
\(392\) | −0.522453 | + | 1.17345i | −0.0263879 | + | 0.0592681i | ||||
\(393\) | 1.63882 | − | 1.52445i | 0.0826678 | − | 0.0768984i | ||||
\(394\) | −14.9669 | − | 1.57309i | −0.754022 | − | 0.0792509i | ||||
\(395\) | −8.40353 | − | 6.10552i | −0.422828 | − | 0.307202i | ||||
\(396\) | −0.262138 | + | 3.62029i | −0.0131729 | + | 0.181926i | ||||
\(397\) | 17.8009 | − | 30.8321i | 0.893401 | − | 1.54742i | 0.0576304 | − | 0.998338i | \(-0.481646\pi\) |
0.835771 | − | 0.549078i | \(-0.185021\pi\) | |||||||
\(398\) | −9.87518 | − | 17.1043i | −0.494998 | − | 0.857362i | ||||
\(399\) | −0.215599 | − | 0.359822i | −0.0107935 | − | 0.0180137i | ||||
\(400\) | −0.669131 | − | 0.743145i | −0.0334565 | − | 0.0371572i | ||||
\(401\) | 6.80493 | + | 20.9434i | 0.339822 | + | 1.04586i | 0.964298 | + | 0.264820i | \(0.0853126\pi\) |
−0.624476 | + | 0.781044i | \(0.714687\pi\) | |||||||
\(402\) | −13.8159 | − | 1.22592i | −0.689072 | − | 0.0611431i | ||||
\(403\) | 0.478567 | − | 6.56161i | 0.0238391 | − | 0.326857i | ||||
\(404\) | − | 7.09994i | − | 0.353235i | ||||||
\(405\) | 8.99286 | + | 0.358501i | 0.446859 | + | 0.0178141i | ||||
\(406\) | 10.0075 | − | 9.01077i | 0.496662 | − | 0.447197i | ||||
\(407\) | −1.03026 | − | 1.41804i | −0.0510683 | − | 0.0702895i | ||||
\(408\) | 2.82872 | + | 6.08581i | 0.140042 | + | 0.301292i | ||||
\(409\) | −5.53408 | − | 3.19510i | −0.273643 | − | 0.157988i | 0.356899 | − | 0.934143i | \(-0.383834\pi\) |
−0.630542 | + | 0.776155i | \(0.717167\pi\) | |||||||
\(410\) | −3.72843 | + | 0.391874i | −0.184134 | + | 0.0193533i | ||||
\(411\) | 10.8263 | − | 12.4232i | 0.534022 | − | 0.612793i | ||||
\(412\) | 0.866403 | − | 8.24328i | 0.0426846 | − | 0.406117i | ||||
\(413\) | 17.1587 | + | 15.4497i | 0.844322 | + | 0.760231i | ||||
\(414\) | 6.56435 | − | 9.68042i | 0.322620 | − | 0.475767i | ||||
\(415\) | −1.46391 | + | 6.88714i | −0.0718603 | + | 0.338076i | ||||
\(416\) | −1.15581 | + | 0.245675i | −0.0566682 | + | 0.0120452i | ||||
\(417\) | 24.0266 | − | 8.23985i | 1.17659 | − | 0.403507i | ||||
\(418\) | 0.116567 | + | 0.0378750i | 0.00570150 | + | 0.00185253i | ||||
\(419\) | 20.0618 | + | 6.51848i | 0.980084 | + | 0.318449i | 0.754880 | − | 0.655863i | \(-0.227695\pi\) |
0.225204 | + | 0.974312i | \(0.427695\pi\) | |||||||
\(420\) | 3.91690 | − | 1.34329i | 0.191125 | − | 0.0655458i | ||||
\(421\) | 5.89085 | − | 1.25214i | 0.287102 | − | 0.0610255i | −0.0621093 | − | 0.998069i | \(-0.519783\pi\) |
0.349212 | + | 0.937044i | \(0.386449\pi\) | |||||||
\(422\) | 0.422151 | − | 1.98606i | 0.0205500 | − | 0.0966801i | ||||
\(423\) | 4.49678 | − | 6.63138i | 0.218641 | − | 0.322429i | ||||
\(424\) | 4.26039 | + | 3.83608i | 0.206903 | + | 0.186296i | ||||
\(425\) | 0.405011 | − | 3.85342i | 0.0196459 | − | 0.186919i | ||||
\(426\) | 12.2347 | − | 14.0394i | 0.592772 | − | 0.680209i | ||||
\(427\) | −27.0961 | + | 2.84792i | −1.31127 | + | 0.137820i | ||||
\(428\) | 13.7539 | + | 7.94080i | 0.664818 | + | 0.383833i | ||||
\(429\) | −1.04375 | − | 2.24556i | −0.0503927 | − | 0.108417i | ||||
\(430\) | −1.55301 | − | 2.13754i | −0.0748929 | − | 0.103081i | ||||
\(431\) | −20.2822 | + | 18.2622i | −0.976958 | + | 0.879657i | −0.992747 | − | 0.120218i | \(-0.961641\pi\) |
0.0157892 | + | 0.999875i | \(0.494974\pi\) | |||||||
\(432\) | −5.19000 | + | 0.252729i | −0.249704 | + | 0.0121594i | ||||
\(433\) | − | 37.0346i | − | 1.77977i | −0.456184 | − | 0.889886i | \(-0.650784\pi\) | ||
0.456184 | − | 0.889886i | \(-0.349216\pi\) | |||||||
\(434\) | −1.81307 | − | 13.1869i | −0.0870302 | − | 0.632990i | ||||
\(435\) | 9.71810 | + | 0.862312i | 0.465947 | + | 0.0413447i | ||||
\(436\) | −1.60032 | − | 4.92527i | −0.0766412 | − | 0.235877i | ||||
\(437\) | −0.264270 | − | 0.293502i | −0.0126418 | − | 0.0140401i | ||||
\(438\) | −5.17381 | − | 8.63480i | −0.247214 | − | 0.412587i | ||||
\(439\) | 4.78973 | + | 8.29605i | 0.228601 | + | 0.395949i | 0.957394 | − | 0.288786i | \(-0.0932515\pi\) |
−0.728793 | + | 0.684735i | \(0.759918\pi\) | |||||||
\(440\) | −0.604961 | + | 1.04782i | −0.0288404 | + | 0.0499530i | ||||
\(441\) | 0.278296 | − | 3.84344i | 0.0132522 | − | 0.183021i | ||||
\(442\) | −3.70400 | − | 2.69112i | −0.176181 | − | 0.128003i | ||||
\(443\) | 4.45924 | + | 0.468685i | 0.211865 | + | 0.0222679i | 0.209866 | − | 0.977730i | \(-0.432697\pi\) |
0.00199861 | + | 0.999998i | \(0.499364\pi\) | |||||||
\(444\) | 1.83721 | − | 1.70900i | 0.0871904 | − | 0.0811053i | ||||
\(445\) | −2.32841 | + | 5.22970i | −0.110377 | + | 0.247912i | ||||
\(446\) | −8.40777 | − | 1.78713i | −0.398120 | − | 0.0846229i | ||||
\(447\) | −3.24056 | + | 0.393832i | −0.153273 | + | 0.0186276i | ||||
\(448\) | −2.18402 | + | 0.972390i | −0.103185 | + | 0.0459411i | ||||
\(449\) | −7.55873 | + | 23.2634i | −0.356718 | + | 1.09787i | 0.598288 | + | 0.801281i | \(0.295848\pi\) |
−0.955006 | + | 0.296585i | \(0.904152\pi\) | |||||||
\(450\) | 2.64536 | + | 1.41495i | 0.124703 | + | 0.0667014i | ||||
\(451\) | 1.84494 | + | 4.14381i | 0.0868749 | + | 0.195124i | ||||
\(452\) | −2.54753 | − | 11.9852i | −0.119826 | − | 0.563736i | ||||
\(453\) | −15.4894 | − | 4.75649i | −0.727755 | − | 0.223480i | ||||
\(454\) | −20.2573 | − | 9.01915i | −0.950724 | − | 0.423290i | ||||
\(455\) | −1.89025 | + | 2.09934i | −0.0886163 | + | 0.0984184i | ||||
\(456\) | −0.0336916 | + | 0.172193i | −0.00157775 | + | 0.00806368i | ||||
\(457\) | 9.71077 | − | 13.3657i | 0.454251 | − | 0.625223i | −0.519053 | − | 0.854742i | \(-0.673715\pi\) |
0.973304 | + | 0.229519i | \(0.0737154\pi\) | |||||||
\(458\) | −1.16300 | − | 11.0652i | −0.0543432 | − | 0.517041i | ||||
\(459\) | −14.1836 | − | 14.2890i | −0.662032 | − | 0.666953i | ||||
\(460\) | 3.37640 | − | 1.94937i | 0.157426 | − | 0.0908898i | ||||
\(461\) | −6.00865 | + | 4.36554i | −0.279851 | + | 0.203323i | −0.718852 | − | 0.695163i | \(-0.755332\pi\) |
0.439002 | + | 0.898486i | \(0.355332\pi\) | |||||||
\(462\) | −3.01020 | − | 4.00495i | −0.140047 | − | 0.186327i | ||||
\(463\) | 13.0676 | − | 4.24593i | 0.607304 | − | 0.197325i | 0.0108089 | − | 0.999942i | \(-0.496559\pi\) |
0.596495 | + | 0.802616i | \(0.296559\pi\) | |||||||
\(464\) | −5.63279 | −0.261496 | ||||||||
\(465\) | 6.10057 | − | 7.46881i | 0.282907 | − | 0.346358i | ||||
\(466\) | −3.84616 | −0.178170 | ||||||||
\(467\) | 31.9309 | − | 10.3750i | 1.47758 | − | 0.480096i | 0.544194 | − | 0.838959i | \(-0.316835\pi\) |
0.933390 | + | 0.358863i | \(0.116835\pi\) | |||||||
\(468\) | 3.01086 | − | 1.87108i | 0.139177 | − | 0.0864906i | ||||
\(469\) | 15.4883 | − | 11.2529i | 0.715185 | − | 0.519612i | ||||
\(470\) | 2.31294 | − | 1.33538i | 0.106688 | − | 0.0615963i | ||||
\(471\) | 14.7874 | + | 10.3815i | 0.681367 | + | 0.478353i | ||||
\(472\) | −1.00953 | − | 9.60499i | −0.0464672 | − | 0.442106i | ||||
\(473\) | −1.87902 | + | 2.58625i | −0.0863976 | + | 0.118916i | ||||
\(474\) | −17.6566 | − | 3.45472i | −0.810994 | − | 0.158680i | ||||
\(475\) | 0.0677835 | − | 0.0752812i | 0.00311012 | − | 0.00345414i | ||||
\(476\) | −8.46233 | − | 3.76767i | −0.387870 | − | 0.172691i | ||||
\(477\) | −15.9305 | − | 6.48212i | −0.729406 | − | 0.296796i | ||||
\(478\) | 1.23846 | + | 5.82649i | 0.0566458 | + | 0.266498i | ||||
\(479\) | 0.359545 | + | 0.807552i | 0.0164280 | + | 0.0368980i | 0.921573 | − | 0.388205i | \(-0.126905\pi\) |
−0.905145 | + | 0.425103i | \(0.860238\pi\) | |||||||
\(480\) | −1.59352 | − | 0.678734i | −0.0727341 | − | 0.0309798i | ||||
\(481\) | −0.528976 | + | 1.62802i | −0.0241192 | + | 0.0742314i | ||||
\(482\) | 19.0145 | − | 8.46581i | 0.866088 | − | 0.385607i | ||||
\(483\) | 1.94768 | + | 16.0261i | 0.0886225 | + | 0.729213i | ||||
\(484\) | −9.32770 | − | 1.98266i | −0.423986 | − | 0.0901211i | ||||
\(485\) | −1.44217 | + | 3.23916i | −0.0654854 | + | 0.147083i | ||||
\(486\) | 14.3866 | − | 6.00222i | 0.652588 | − | 0.272266i | ||||
\(487\) | −23.4787 | − | 2.46771i | −1.06392 | − | 0.111823i | −0.443643 | − | 0.896203i | \(-0.646314\pi\) |
−0.620280 | + | 0.784381i | \(0.712981\pi\) | |||||||
\(488\) | 9.21984 | + | 6.69861i | 0.417363 | + | 0.303232i | ||||
\(489\) | 28.5094 | − | 0.462433i | 1.28924 | − | 0.0209120i | ||||
\(490\) | 0.642250 | − | 1.11241i | 0.0290139 | − | 0.0502535i | ||||
\(491\) | −18.1512 | − | 31.4388i | −0.819151 | − | 1.41881i | −0.906309 | − | 0.422617i | \(-0.861112\pi\) |
0.0871575 | − | 0.996195i | \(-0.472222\pi\) | |||||||
\(492\) | −5.57006 | + | 3.33748i | −0.251118 | + | 0.150465i | ||||
\(493\) | −14.6038 | − | 16.2192i | −0.657724 | − | 0.730476i | ||||
\(494\) | −0.0369894 | − | 0.113842i | −0.00166423 | − | 0.00512197i | ||||
\(495\) | 0.639125 | − | 3.57305i | 0.0287265 | − | 0.160597i | ||||
\(496\) | −3.12725 | + | 4.60655i | −0.140418 | + | 0.206840i | ||||
\(497\) | 25.7040i | 1.15298i | ||||||||
\(498\) | 2.72869 | + | 11.8862i | 0.122276 | + | 0.532633i | ||||
\(499\) | −2.45437 | + | 2.20993i | −0.109873 | + | 0.0989299i | −0.722236 | − | 0.691647i | \(-0.756886\pi\) |
0.612363 | + | 0.790576i | \(0.290219\pi\) | |||||||
\(500\) | 0.587785 | + | 0.809017i | 0.0262866 | + | 0.0361803i | ||||
\(501\) | −4.26766 | + | 1.98363i | −0.190665 | + | 0.0886221i | ||||
\(502\) | −2.69163 | − | 1.55401i | −0.120133 | − | 0.0693590i | ||||
\(503\) | −35.8585 | + | 3.76888i | −1.59885 | + | 0.168046i | −0.861606 | − | 0.507578i | \(-0.830541\pi\) |
−0.737246 | + | 0.675624i | \(0.763874\pi\) | |||||||
\(504\) | 5.17149 | − | 4.96943i | 0.230356 | − | 0.221356i | ||||
\(505\) | −0.742146 | + | 7.06105i | −0.0330251 | + | 0.314213i | ||||
\(506\) | −3.50554 | − | 3.15640i | −0.155840 | − | 0.140319i | ||||
\(507\) | 9.76553 | − | 17.5663i | 0.433703 | − | 0.780148i | ||||
\(508\) | −2.83227 | + | 13.3248i | −0.125662 | + | 0.591192i | ||||
\(509\) | −15.0848 | + | 3.20636i | −0.668620 | + | 0.142120i | −0.529701 | − | 0.848184i | \(-0.677696\pi\) |
−0.138919 | + | 0.990304i | \(0.544363\pi\) | |||||||
\(510\) | −2.17708 | − | 6.34815i | −0.0964029 | − | 0.281101i | ||||
\(511\) | 13.2141 | + | 4.29352i | 0.584558 | + | 0.189934i | ||||
\(512\) | 0.951057 | + | 0.309017i | 0.0420312 | + | 0.0136568i | ||||
\(513\) | −0.0804174 | − | 0.520196i | −0.00355052 | − | 0.0229672i | ||||
\(514\) | −27.9012 | + | 5.93058i | −1.23067 | + | 0.261586i | ||||
\(515\) | −1.72331 | + | 8.10756i | −0.0759383 | + | 0.357262i | ||||
\(516\) | −3.99980 | − | 2.22358i | −0.176081 | − | 0.0978879i | ||||
\(517\) | −2.40140 | − | 2.16223i | −0.105613 | − | 0.0950947i | ||||
\(518\) | −0.362021 | + | 3.44440i | −0.0159063 | + | 0.151338i | ||||
\(519\) | 3.74513 | + | 3.26372i | 0.164393 | + | 0.143261i | ||||
\(520\) | 1.17516 | − | 0.123514i | 0.0515340 | − | 0.00541644i | ||||
\(521\) | 7.30055 | + | 4.21497i | 0.319843 | + | 0.184661i | 0.651323 | − | 0.758801i | \(-0.274214\pi\) |
−0.331480 | + | 0.943462i | \(0.607548\pi\) | |||||||
\(522\) | 15.8935 | − | 5.74037i | 0.695639 | − | 0.251249i | ||||
\(523\) | −12.7735 | − | 17.5813i | −0.558548 | − | 0.768775i | 0.432593 | − | 0.901589i | \(-0.357599\pi\) |
−0.991141 | + | 0.132814i | \(0.957599\pi\) | |||||||
\(524\) | 0.960326 | − | 0.864681i | 0.0419520 | − | 0.0377738i | ||||
\(525\) | −4.03585 | + | 0.926504i | −0.176139 | + | 0.0404359i | ||||
\(526\) | − | 16.4798i | − | 0.718551i | ||||||
\(527\) | −21.3721 | + | 2.93846i | −0.930982 | + | 0.128001i | ||||
\(528\) | −0.185224 | + | 2.08744i | −0.00806086 | + | 0.0908444i | ||||
\(529\) | −2.41029 | − | 7.41811i | −0.104795 | − | 0.322526i | ||||
\(530\) | −3.83608 | − | 4.26039i | −0.166628 | − | 0.185060i | ||||
\(531\) | 12.6369 | + | 26.0727i | 0.548395 | + | 1.13146i | ||||
\(532\) | −0.121091 | − | 0.209735i | −0.00524994 | − | 0.00909317i | ||||
\(533\) | 2.21495 | − | 3.83640i | 0.0959400 | − | 0.166173i | ||||
\(534\) | 0.160809 | + | 9.91403i | 0.00695889 | + | 0.429022i | ||||
\(535\) | −12.8485 | − | 9.33497i | −0.555488 | − | 0.403586i | ||||
\(536\) | −7.96406 | − | 0.837056i | −0.343995 | − | 0.0361553i | ||||
\(537\) | −9.72524 | − | 10.4549i | −0.419675 | − | 0.451161i | ||||
\(538\) | 3.26469 | − | 7.33262i | 0.140751 | − | 0.316132i | ||||
\(539\) | −1.52018 | − | 0.323125i | −0.0654789 | − | 0.0139180i | ||||
\(540\) | 5.18799 | + | 0.291159i | 0.223255 | + | 0.0125295i | ||||
\(541\) | −17.4557 | + | 7.77177i | −0.750478 | + | 0.334135i | −0.746080 | − | 0.665856i | \(-0.768067\pi\) |
−0.00439797 | + | 0.999990i | \(0.501400\pi\) | |||||||
\(542\) | −1.98511 | + | 6.10953i | −0.0852677 | + | 0.262427i | ||||
\(543\) | 4.89675 | − | 11.4966i | 0.210140 | − | 0.493364i | ||||
\(544\) | 1.57596 | + | 3.53967i | 0.0675688 | + | 0.151762i | ||||
\(545\) | 1.07672 | + | 5.06556i | 0.0461216 | + | 0.216985i | ||||
\(546\) | −1.43633 | + | 4.67736i | −0.0614692 | + | 0.200173i | ||||
\(547\) | −39.7825 | − | 17.7123i | −1.70098 | − | 0.757324i | −0.998980 | − | 0.0451451i | \(-0.985625\pi\) |
−0.701998 | − | 0.712179i | \(-0.747708\pi\) | |||||||
\(548\) | 6.36607 | − | 7.07024i | 0.271945 | − | 0.302026i | ||||
\(549\) | −32.8413 | − | 9.50489i | −1.40163 | − | 0.405659i | ||||
\(550\) | 0.711174 | − | 0.978847i | 0.0303246 | − | 0.0417382i | ||||
\(551\) | −0.0596446 | − | 0.567481i | −0.00254095 | − | 0.0241755i | ||||
\(552\) | 3.88008 | − | 5.52679i | 0.165147 | − | 0.235236i | ||||
\(553\) | 21.5061 | − | 12.4166i | 0.914533 | − | 0.528006i | ||||
\(554\) | −3.07492 | + | 2.23406i | −0.130641 | + | 0.0949162i | ||||
\(555\) | −2.00579 | + | 1.50759i | −0.0851410 | + | 0.0639937i | ||||
\(556\) | 13.9471 | − | 4.53168i | 0.591488 | − | 0.192186i | ||||
\(557\) | 17.2905 | 0.732622 | 0.366311 | − | 0.930493i | \(-0.380621\pi\) | ||||
0.366311 | + | 0.930493i | \(0.380621\pi\) | |||||||
\(558\) | 4.12934 | − | 16.1848i | 0.174809 | − | 0.685158i | ||||
\(559\) | 3.12203 | 0.132048 | ||||||||
\(560\) | 2.27370 | − | 0.738770i | 0.0960814 | − | 0.0312187i | ||||
\(561\) | −6.49086 | + | 4.87867i | −0.274044 | + | 0.205977i | ||||
\(562\) | −1.39732 | + | 1.01522i | −0.0589426 | + | 0.0428243i | ||||
\(563\) | 17.2892 | − | 9.98194i | 0.728654 | − | 0.420689i | −0.0892754 | − | 0.996007i | \(-0.528455\pi\) |
0.817930 | + | 0.575318i | \(0.195122\pi\) | |||||||
\(564\) | 2.65797 | − | 3.78602i | 0.111921 | − | 0.159420i | ||||
\(565\) | 1.28078 | + | 12.1858i | 0.0538829 | + | 0.512662i | ||||
\(566\) | 7.69052 | − | 10.5851i | 0.323257 | − | 0.444925i | ||||
\(567\) | −9.52754 | + | 19.2920i | −0.400119 | + | 0.810188i | ||||
\(568\) | 7.19423 | − | 7.99000i | 0.301863 | − | 0.335253i | ||||
\(569\) | 28.9104 | + | 12.8718i | 1.21199 | + | 0.539612i | 0.910361 | − | 0.413814i | \(-0.135804\pi\) |
0.301627 | + | 0.953426i | \(0.402470\pi\) | |||||||
\(570\) | 0.0515061 | − | 0.167728i | 0.00215735 | − | 0.00702536i | ||||
\(571\) | 0.981866 | + | 4.61931i | 0.0410898 | + | 0.193312i | 0.993905 | − | 0.110238i | \(-0.0351613\pi\) |
−0.952815 | + | 0.303550i | \(0.901828\pi\) | |||||||
\(572\) | −0.581503 | − | 1.30608i | −0.0243139 | − | 0.0546098i | ||||
\(573\) | −5.19905 | + | 12.2063i | −0.217193 | + | 0.509925i | ||||
\(574\) | 2.76963 | − | 8.52404i | 0.115602 | − | 0.355787i | ||||
\(575\) | −3.56167 | + | 1.58576i | −0.148532 | + | 0.0661307i | ||||
\(576\) | −2.99842 | + | 0.0972966i | −0.124934 | + | 0.00405402i | ||||
\(577\) | 6.21112 | + | 1.32021i | 0.258572 | + | 0.0549612i | 0.335374 | − | 0.942085i | \(-0.391137\pi\) |
−0.0768015 | + | 0.997046i | \(0.524471\pi\) | |||||||
\(578\) | 0.808222 | − | 1.81530i | 0.0336176 | − | 0.0755064i | ||||
\(579\) | 25.7774 | + | 27.7114i | 1.07127 | + | 1.15164i | ||||
\(580\) | 5.60193 | + | 0.588787i | 0.232608 | + | 0.0244480i | ||||
\(581\) | −13.6182 | − | 9.89419i | −0.564977 | − | 0.410480i | ||||
\(582\) | 0.0996016 | + | 6.14053i | 0.00412862 | + | 0.254533i | ||||
\(583\) | −3.46820 | + | 6.00709i | −0.143638 | + | 0.248788i | ||||
\(584\) | −2.90586 | − | 5.03309i | −0.120245 | − | 0.208271i | ||||
\(585\) | −3.18995 | + | 1.54611i | −0.131888 | + | 0.0639236i | ||||
\(586\) | −9.60317 | − | 10.6654i | −0.396703 | − | 0.440584i | ||||
\(587\) | −11.4050 | − | 35.1008i | −0.470733 | − | 1.44877i | −0.851627 | − | 0.524148i | \(-0.824384\pi\) |
0.380894 | − | 0.924619i | \(-0.375616\pi\) | |||||||
\(588\) | 0.196641 | − | 2.21611i | 0.00810935 | − | 0.0913909i | ||||
\(589\) | −0.497205 | − | 0.266280i | −0.0204870 | − | 0.0109719i | ||||
\(590\) | 9.65790i | 0.397609i | ||||||||
\(591\) | 25.4054 | − | 5.83228i | 1.04504 | − | 0.239908i | ||||
\(592\) | 1.07658 | − | 0.969356i | 0.0442471 | − | 0.0398403i | ||||
\(593\) | 17.7308 | + | 24.4044i | 0.728119 | + | 1.00217i | 0.999215 | + | 0.0396171i | \(0.0126138\pi\) |
−0.271096 | + | 0.962552i | \(0.587386\pi\) | |||||||
\(594\) | −1.60468 | − | 6.07870i | −0.0658408 | − | 0.249412i | ||||
\(595\) | 8.02214 | + | 4.63158i | 0.328876 | + | 0.189876i | ||||
\(596\) | −1.87438 | + | 0.197006i | −0.0767777 | + | 0.00806966i | ||||
\(597\) | 25.7899 | + | 22.4747i | 1.05551 | + | 0.919829i | ||||
\(598\) | −0.481548 | + | 4.58162i | −0.0196920 | + | 0.187357i | ||||
\(599\) | 16.8780 | + | 15.1970i | 0.689616 | + | 0.620933i | 0.937553 | − | 0.347843i | \(-0.113086\pi\) |
−0.247936 | + | 0.968776i | \(0.579752\pi\) | |||||||
\(600\) | 1.51385 | + | 0.841584i | 0.0618026 | + | 0.0343575i | ||||
\(601\) | 0.472492 | − | 2.22290i | 0.0192734 | − | 0.0906741i | −0.967460 | − | 0.253025i | \(-0.918574\pi\) |
0.986733 | + | 0.162351i | \(0.0519078\pi\) | |||||||
\(602\) | 6.17857 | − | 1.31329i | 0.251820 | − | 0.0535259i | ||||
\(603\) | 23.3244 | − | 5.75431i | 0.949845 | − | 0.234334i | ||||
\(604\) | −8.89709 | − | 2.89084i | −0.362017 | − | 0.117627i | ||||
\(605\) | 9.06936 | + | 2.94681i | 0.368722 | + | 0.119805i | ||||
\(606\) | 3.98931 | + | 11.6324i | 0.162054 | + | 0.472534i | ||||
\(607\) | −41.0463 | + | 8.72466i | −1.66602 | + | 0.354123i | −0.941988 | − | 0.335647i | \(-0.891045\pi\) |
−0.724029 | + | 0.689769i | \(0.757712\pi\) | |||||||
\(608\) | −0.0210616 | + | 0.0990872i | −0.000854162 | + | 0.00401852i | ||||
\(609\) | −11.3331 | + | 20.3860i | −0.459240 | + | 0.826084i | ||||
\(610\) | −8.46914 | − | 7.62565i | −0.342906 | − | 0.308754i | ||||
\(611\) | −0.329875 | + | 3.13855i | −0.0133453 | + | 0.126972i | ||||
\(612\) | −8.05401 | − | 8.38148i | −0.325564 | − | 0.338801i | ||||
\(613\) | 2.40884 | − | 0.253180i | 0.0972923 | − | 0.0102258i | −0.0557572 | − | 0.998444i | \(-0.517757\pi\) |
0.153050 | + | 0.988219i | \(0.451091\pi\) | |||||||
\(614\) | 23.5222 | + | 13.5806i | 0.949280 | + | 0.548067i | ||||
\(615\) | 5.88841 | − | 2.73697i | 0.237444 | − | 0.110365i | ||||
\(616\) | −1.70021 | − | 2.34014i | −0.0685035 | − | 0.0942870i | ||||
\(617\) | −7.08510 | + | 6.37945i | −0.285235 | + | 0.256827i | −0.799311 | − | 0.600918i | \(-0.794802\pi\) |
0.514075 | + | 0.857745i | \(0.328135\pi\) | |||||||
\(618\) | 3.21222 | + | 13.9924i | 0.129215 | + | 0.562859i | ||||
\(619\) | − | 14.0896i | − | 0.566311i | −0.959074 | − | 0.283155i | \(-0.908619\pi\) | ||
0.959074 | − | 0.283155i | \(-0.0913812\pi\) | |||||||
\(620\) | 3.59164 | − | 4.25443i | 0.144244 | − | 0.170862i | ||||
\(621\) | −5.31569 | + | 19.5486i | −0.213311 | + | 0.784458i | ||||
\(622\) | 3.77815 | + | 11.6280i | 0.151490 | + | 0.466239i | ||||
\(623\) | −9.15766 | − | 10.1706i | −0.366894 | − | 0.407477i | ||||
\(624\) | 1.75561 | − | 1.05193i | 0.0702808 | − | 0.0421110i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 4.31252 | − | 7.46951i | 0.172363 | − | 0.298542i | ||||
\(627\) | −0.212263 | + | 0.00344298i | −0.00847696 | + | 0.000137499i | ||||
\(628\) | 8.43917 | + | 6.13142i | 0.336760 | + | 0.244670i | ||||
\(629\) | 5.58238 | + | 0.586732i | 0.222584 | + | 0.0233945i | ||||
\(630\) | −5.66260 | + | 4.40164i | −0.225603 | + | 0.175366i | ||||
\(631\) | 5.29306 | − | 11.8884i | 0.210713 | − | 0.473270i | −0.777009 | − | 0.629489i | \(-0.783264\pi\) |
0.987722 | + | 0.156220i | \(0.0499308\pi\) | |||||||
\(632\) | −10.1603 | − | 2.15965i | −0.404157 | − | 0.0859062i | ||||
\(633\) | 0.424283 | + | 3.49113i | 0.0168637 | + | 0.138760i | ||||
\(634\) | −17.1968 | + | 7.65652i | −0.682973 | + | 0.304079i | ||||
\(635\) | 4.20958 | − | 12.9558i | 0.167052 | − | 0.514133i | ||||
\(636\) | −9.13556 | − | 3.89113i | −0.362248 | − | 0.154293i | ||||
\(637\) | 0.617346 | + | 1.38658i | 0.0244601 | + | 0.0549383i | ||||
\(638\) | −1.41697 | − | 6.66631i | −0.0560983 | − | 0.263922i | ||||
\(639\) | −12.1567 | + | 29.8762i | −0.480910 | + | 1.18189i | ||||
\(640\) | −0.913545 | − | 0.406737i | −0.0361111 | − | 0.0160777i | ||||
\(641\) | 19.2340 | − | 21.3615i | 0.759696 | − | 0.843728i | −0.231948 | − | 0.972728i | \(-0.574510\pi\) |
0.991645 | + | 0.129000i | \(0.0411767\pi\) | |||||||
\(642\) | −26.9958 | − | 5.28205i | −1.06544 | − | 0.208466i | ||||
\(643\) | 5.26128 | − | 7.24153i | 0.207485 | − | 0.285578i | −0.692574 | − | 0.721347i | \(-0.743523\pi\) |
0.900059 | + | 0.435769i | \(0.143523\pi\) | |||||||
\(644\) | 0.974284 | + | 9.26969i | 0.0383922 | + | 0.365277i | ||||
\(645\) | 3.74546 | + | 2.62950i | 0.147477 | + | 0.103536i | ||||
\(646\) | −0.339920 | + | 0.196253i | −0.0133740 | + | 0.00772146i | ||||
\(647\) | −17.5864 | + | 12.7773i | −0.691394 | + | 0.502327i | −0.877118 | − | 0.480275i | \(-0.840537\pi\) |
0.185724 | + | 0.982602i | \(0.440537\pi\) | |||||||
\(648\) | 8.36120 | − | 3.33022i | 0.328459 | − | 0.130823i | ||||
\(649\) | 11.1134 | − | 3.61096i | 0.436238 | − | 0.141742i | ||||
\(650\) | −1.18163 | −0.0463473 | ||||||||
\(651\) | 10.3799 | + | 20.5864i | 0.406821 | + | 0.806844i | ||||
\(652\) | 16.4621 | 0.644705 | ||||||||
\(653\) | −39.0457 | + | 12.6867i | −1.52798 | + | 0.496469i | −0.948029 | − | 0.318185i | \(-0.896927\pi\) |
−0.579947 | + | 0.814654i | \(0.696927\pi\) | |||||||
\(654\) | 5.38933 | + | 7.17028i | 0.210739 | + | 0.280380i | ||||
\(655\) | −1.04545 | + | 0.759563i | −0.0408491 | + | 0.0296786i | ||||
\(656\) | −3.24670 | + | 1.87448i | −0.126762 | + | 0.0731863i | ||||
\(657\) | 13.3284 | + | 11.2400i | 0.519990 | + | 0.438515i | ||||
\(658\) | 0.667414 | + | 6.35002i | 0.0260185 | + | 0.247549i | ||||
\(659\) | −3.20807 | + | 4.41553i | −0.124969 | + | 0.172005i | −0.866917 | − | 0.498452i | \(-0.833902\pi\) |
0.741948 | + | 0.670457i | \(0.233902\pi\) | |||||||
\(660\) | 0.402407 | − | 2.05665i | 0.0156637 | − | 0.0800549i | ||||
\(661\) | −20.5855 | + | 22.8626i | −0.800685 | + | 0.889250i | −0.995802 | − | 0.0915295i | \(-0.970824\pi\) |
0.195118 | + | 0.980780i | \(0.437491\pi\) | |||||||
\(662\) | −28.9277 | − | 12.8794i | −1.12431 | − | 0.500573i | ||||
\(663\) | 7.58065 | + | 2.32787i | 0.294408 | + | 0.0904071i | ||||
\(664\) | 1.46391 | + | 6.88714i | 0.0568106 | + | 0.267273i | ||||
\(665\) | 0.0985040 | + | 0.221244i | 0.00381982 | + | 0.00857946i | ||||
\(666\) | −2.04981 | + | 3.83228i | −0.0794285 | + | 0.148498i | ||||
\(667\) | −6.78625 | + | 20.8859i | −0.262765 | + | 0.808706i | ||||
\(668\) | −2.48218 | + | 1.10514i | −0.0960386 | + | 0.0427591i | ||||
\(669\) | 14.7793 | − | 1.79615i | 0.571400 | − | 0.0694433i | ||||
\(670\) | 7.83293 | + | 1.66494i | 0.302613 | + | 0.0643223i | ||||
\(671\) | −5.60837 | + | 12.5966i | −0.216509 | + | 0.486286i | ||||
\(672\) | 3.03190 | − | 2.82030i | 0.116958 | − | 0.108795i | ||||
\(673\) | −26.1640 | − | 2.74995i | −1.00855 | − | 0.106003i | −0.414179 | − | 0.910195i | \(-0.635931\pi\) |
−0.594369 | + | 0.804193i | \(0.702598\pi\) | |||||||
\(674\) | 3.91270 | + | 2.84275i | 0.150712 | + | 0.109498i | ||||
\(675\) | −5.12913 | − | 0.831856i | −0.197420 | − | 0.0320182i | ||||
\(676\) | 5.80188 | − | 10.0491i | 0.223149 | − | 0.386506i | ||||
\(677\) | −3.20458 | − | 5.55050i | −0.123162 | − | 0.213323i | 0.797851 | − | 0.602855i | \(-0.205970\pi\) |
−0.921013 | + | 0.389532i | \(0.872637\pi\) | |||||||
\(678\) | 10.9081 | + | 18.2049i | 0.418921 | + | 0.699155i | ||||
\(679\) | −5.67205 | − | 6.29945i | −0.217673 | − | 0.241751i | ||||
\(680\) | −1.19733 | − | 3.68501i | −0.0459156 | − | 0.141314i | ||||
\(681\) | 38.2569 | + | 3.39464i | 1.46601 | + | 0.130083i | ||||
\(682\) | −6.23845 | − | 2.54224i | −0.238883 | − | 0.0973473i | ||||
\(683\) | − | 12.0123i | − | 0.459638i | −0.973233 | − | 0.229819i | \(-0.926187\pi\) | ||
0.973233 | − | 0.229819i | \(-0.0738134\pi\) | |||||||
\(684\) | −0.0415520 | − | 0.301049i | −0.00158878 | − | 0.0115109i | ||||
\(685\) | −7.07024 | + | 6.36607i | −0.270140 | + | 0.243235i | ||||
\(686\) | 11.6416 | + | 16.0233i | 0.444478 | + | 0.611771i | ||||
\(687\) | 8.12271 | + | 17.4755i | 0.309901 | + | 0.666731i | ||||
\(688\) | −2.28816 | − | 1.32107i | −0.0872354 | − | 0.0503654i | ||||
\(689\) | 6.73708 | − | 0.708096i | 0.256662 | − | 0.0269763i | ||||
\(690\) | −4.43653 | + | 5.09094i | −0.168896 | + | 0.193809i | ||||
\(691\) | 2.98513 | − | 28.4016i | 0.113560 | − | 1.08045i | −0.778224 | − | 0.627986i | \(-0.783879\pi\) |
0.891784 | − | 0.452461i | \(-0.149454\pi\) | |||||||
\(692\) | 2.13141 | + | 1.91913i | 0.0810239 | + | 0.0729543i | ||||
\(693\) | 7.18216 | + | 4.87027i | 0.272828 | + | 0.185006i | ||||
\(694\) | 4.00174 | − | 18.8267i | 0.151904 | − | 0.714653i | ||||
\(695\) | −14.3444 | + | 3.04899i | −0.544113 | + | 0.115655i | ||||
\(696\) | 9.22866 | − | 3.16495i | 0.349811 | − | 0.119967i | ||||
\(697\) | −13.8150 | − | 4.48876i | −0.523280 | − | 0.170024i | ||||
\(698\) | −9.27733 | − | 3.01439i | −0.351152 | − | 0.114096i | ||||
\(699\) | 6.30148 | − | 2.16108i | 0.238344 | − | 0.0817394i | ||||
\(700\) | −2.33847 | + | 0.497057i | −0.0883858 | + | 0.0187870i | ||||
\(701\) | 9.39731 | − | 44.2109i | 0.354931 | − | 1.66982i | −0.332139 | − | 0.943230i | \(-0.607770\pi\) |
0.687071 | − | 0.726591i | \(-0.258896\pi\) | |||||||
\(702\) | −3.88162 | + | 4.75728i | −0.146502 | + | 0.179552i | ||||
\(703\) | 0.109058 | + | 0.0981967i | 0.00411322 | + | 0.00370356i | ||||
\(704\) | −0.126471 | + | 1.20329i | −0.00476657 | + | 0.0453508i | ||||
\(705\) | −3.03916 | + | 3.48744i | −0.114461 | + | 0.131345i | ||||
\(706\) | −26.1961 | + | 2.75332i | −0.985904 | + | 0.103623i | ||||
\(707\) | −14.6998 | − | 8.48696i | −0.552844 | − | 0.319185i | ||||
\(708\) | 7.05083 | + | 15.1694i | 0.264986 | + | 0.570101i | ||||
\(709\) | 8.43616 | + | 11.6114i | 0.316826 | + | 0.436074i | 0.937495 | − | 0.347999i | \(-0.113139\pi\) |
−0.620668 | + | 0.784073i | \(0.713139\pi\) | |||||||
\(710\) | −7.99000 | + | 7.19423i | −0.299859 | + | 0.269995i | ||||
\(711\) | 30.8694 | − | 4.26072i | 1.15769 | − | 0.159789i | ||||
\(712\) | 5.72462i | 0.214539i | ||||||||
\(713\) | 13.3131 | + | 17.1455i | 0.498578 | + | 0.642102i | ||||
\(714\) | 15.9815 | + | 1.41808i | 0.598092 | + | 0.0530703i | ||||
\(715\) | 0.441795 | + | 1.35971i | 0.0165222 | + | 0.0508501i | ||||
\(716\) | −5.51623 | − | 6.12640i | −0.206151 | − | 0.228954i | ||||
\(717\) | −5.30285 | − | 8.85015i | −0.198039 | − | 0.330515i | ||||
\(718\) | 16.1261 | + | 27.9312i | 0.601820 | + | 1.04238i | ||||
\(719\) | −26.4095 | + | 45.7426i | −0.984909 | + | 1.70591i | −0.342570 | + | 0.939492i | \(0.611297\pi\) |
−0.642339 | + | 0.766421i | \(0.722036\pi\) | |||||||
\(720\) | 2.99217 | + | 0.216657i | 0.111511 | + | 0.00807432i | ||||
\(721\) | −16.0314 | − | 11.6475i | −0.597039 | − | 0.433774i | ||||
\(722\) | 18.8857 | + | 1.98497i | 0.702853 | + | 0.0738729i | ||||
\(723\) | −26.3963 | + | 24.5541i | −0.981688 | + | 0.913176i | ||||
\(724\) | 2.93442 | − | 6.59081i | 0.109057 | − | 0.244946i | ||||
\(725\) | −5.50970 | − | 1.17112i | −0.204625 | − | 0.0434944i | ||||
\(726\) | 16.3963 | − | 1.99268i | 0.608526 | − | 0.0739552i | ||||
\(727\) | 11.9850 | − | 5.33605i | 0.444498 | − | 0.197903i | −0.172268 | − | 0.985050i | \(-0.555109\pi\) |
0.616765 | + | 0.787147i | \(0.288443\pi\) | |||||||
\(728\) | −0.872953 | + | 2.68667i | −0.0323538 | + | 0.0995747i | ||||
\(729\) | −20.1982 | + | 17.9174i | −0.748080 | + | 0.663609i | ||||
\(730\) | 2.36384 | + | 5.30927i | 0.0874895 | + | 0.196505i | ||||
\(731\) | −2.12847 | − | 10.0137i | −0.0787243 | − | 0.370369i | ||||
\(732\) | −18.8694 | − | 5.79444i | −0.697434 | − | 0.214169i | ||||
\(733\) | −35.3453 | − | 15.7367i | −1.30551 | − | 0.581249i | −0.368197 | − | 0.929748i | \(-0.620025\pi\) |
−0.937309 | + | 0.348499i | \(0.886692\pi\) | |||||||
\(734\) | −15.4731 | + | 17.1846i | −0.571124 | + | 0.634297i | ||||
\(735\) | −0.427211 | + | 2.18342i | −0.0157579 | + | 0.0805365i | ||||
\(736\) | 2.29162 | − | 3.15414i | 0.0844702 | − | 0.116263i | ||||
\(737\) | −1.01277 | − | 9.63589i | −0.0373060 | − | 0.354942i | ||||
\(738\) | 7.25062 | − | 8.59776i | 0.266899 | − | 0.316488i | ||||
\(739\) | 27.8291 | − | 16.0671i | 1.02371 | − | 0.591039i | 0.108534 | − | 0.994093i | \(-0.465385\pi\) |
0.915176 | + | 0.403054i | \(0.132051\pi\) | |||||||
\(740\) | −1.17201 | + | 0.851513i | −0.0430838 | + | 0.0313022i | ||||
\(741\) | 0.124568 | + | 0.165732i | 0.00457611 | + | 0.00608833i | ||||
\(742\) | 13.0350 | − | 4.23532i | 0.478529 | − | 0.155483i | ||||
\(743\) | 2.39114 | 0.0877225 | 0.0438613 | − | 0.999038i | \(-0.486034\pi\) | ||||
0.0438613 | + | 0.999038i | \(0.486034\pi\) | |||||||
\(744\) | 2.53531 | − | 9.30442i | 0.0929490 | − | 0.341117i | ||||
\(745\) | 1.88471 | 0.0690503 | ||||||||
\(746\) | 9.34591 | − | 3.03667i | 0.342178 | − | 0.111180i | ||||
\(747\) | −11.1492 | − | 17.9409i | −0.407929 | − | 0.656423i | ||||
\(748\) | −3.79269 | + | 2.75555i | −0.138674 | + | 0.100753i | ||||
\(749\) | 32.8815 | − | 18.9842i | 1.20146 | − | 0.693666i | ||||
\(750\) | −1.41759 | − | 0.995214i | −0.0517629 | − | 0.0363401i | ||||
\(751\) | 4.20594 | + | 40.0168i | 0.153477 | + | 1.46023i | 0.752018 | + | 0.659143i | \(0.229081\pi\) |
−0.598541 | + | 0.801092i | \(0.704253\pi\) | |||||||
\(752\) | 1.56983 | − | 2.16068i | 0.0572457 | − | 0.0787920i | ||||
\(753\) | 5.28308 | + | 1.03370i | 0.192526 | + | 0.0376700i | ||||
\(754\) | −4.45365 | + | 4.94628i | −0.162192 | + | 0.180133i | ||||
\(755\) | 8.54617 | + | 3.80500i | 0.311027 | + | 0.138478i | ||||
\(756\) | −5.68065 | + | 11.0476i | −0.206603 | + | 0.401796i | ||||
\(757\) | 1.68390 | + | 7.92213i | 0.0612024 | + | 0.287935i | 0.998096 | − | 0.0616801i | \(-0.0196459\pi\) |
−0.936894 | + | 0.349615i | \(0.886313\pi\) | |||||||
\(758\) | 7.73063 | + | 17.3633i | 0.280789 | + | 0.630663i | ||||
\(759\) | 7.51692 | + | 3.20170i | 0.272847 | + | 0.116214i | ||||
\(760\) | 0.0313037 | − | 0.0963429i | 0.00113550 | − | 0.00349472i | ||||
\(761\) | −19.8233 | + | 8.82588i | −0.718593 | + | 0.319938i | −0.733254 | − | 0.679954i | \(-0.762000\pi\) |
0.0146617 | + | 0.999893i | \(0.495333\pi\) | |||||||
\(762\) | −2.84658 | − | 23.4225i | −0.103121 | − | 0.848508i | ||||
\(763\) | −12.1103 | − | 2.57412i | −0.438422 | − | 0.0931895i | ||||
\(764\) | −3.11557 | + | 6.99769i | −0.112717 | + | 0.253168i | ||||
\(765\) | 7.13378 | + | 9.17744i | 0.257922 | + | 0.331811i | ||||
\(766\) | 13.9352 | + | 1.46465i | 0.503498 | + | 0.0529198i | ||||
\(767\) | −9.23255 | − | 6.70784i | −0.333368 | − | 0.242206i | ||||
\(768\) | −1.73182 | + | 0.0280908i | −0.0624918 | + | 0.00101364i | ||||
\(769\) | −0.776312 | + | 1.34461i | −0.0279945 | + | 0.0484879i | −0.879683 | − | 0.475560i | \(-0.842245\pi\) |
0.851689 | + | 0.524048i | \(0.175579\pi\) | |||||||
\(770\) | 1.44629 | + | 2.50504i | 0.0521206 | + | 0.0902755i | ||||
\(771\) | 42.3805 | − | 25.3936i | 1.52630 | − | 0.914529i | ||||
\(772\) | 14.6211 | + | 16.2384i | 0.526226 | + | 0.584434i | ||||
\(773\) | −14.1794 | − | 43.6399i | −0.509999 | − | 1.56962i | −0.792200 | − | 0.610261i | \(-0.791065\pi\) |
0.282201 | − | 0.959355i | \(-0.408935\pi\) | |||||||
\(774\) | 7.80258 | + | 1.39568i | 0.280458 | + | 0.0501665i | ||||
\(775\) | −4.01667 | + | 3.85569i | −0.144283 | + | 0.138501i | ||||
\(776\) | 3.54570i | 0.127283i | ||||||||
\(777\) | −1.34221 | − | 5.84666i | −0.0481514 | − | 0.209748i | ||||
\(778\) | −20.1711 | + | 18.1621i | −0.723168 | + | 0.651143i | ||||
\(779\) | −0.223226 | − | 0.307244i | −0.00799788 | − | 0.0110081i | ||||
\(780\) | −1.85595 | + | 0.862658i | −0.0664538 | + | 0.0308881i | ||||
\(781\) | 11.2658 | + | 6.50430i | 0.403121 | + | 0.232742i | ||||
\(782\) | 15.0235 | − | 1.57903i | 0.537239 | − | 0.0564661i | ||||
\(783\) | −22.8142 | + | 18.3351i | −0.815313 | + | 0.655244i | ||||
\(784\) | 0.134267 | − | 1.27746i | 0.00479524 | − | 0.0456237i | ||||
\(785\) | −7.75204 | − | 6.97996i | −0.276682 | − | 0.249126i | ||||
\(786\) | −1.08753 | + | 1.95626i | −0.0387910 | + | 0.0697776i | ||||
\(787\) | −1.04614 | + | 4.92170i | −0.0372909 | + | 0.175440i | −0.992852 | − | 0.119354i | \(-0.961918\pi\) |
0.955561 | + | 0.294794i | \(0.0952510\pi\) | |||||||
\(788\) | 14.7205 | − | 3.12894i | 0.524396 | − | 0.111464i | ||||
\(789\) | 9.25962 | + | 27.0001i | 0.329651 | + | 0.961230i | ||||
\(790\) | 9.87894 | + | 3.20986i | 0.351477 | + | 0.114202i | ||||
\(791\) | −27.8595 | − | 9.05212i | −0.990572 | − | 0.321856i | ||||
\(792\) | −0.869422 | − | 3.52410i | −0.0308936 | − | 0.125224i | ||||
\(793\) | 13.1720 | − | 2.79979i | 0.467751 | − | 0.0994236i | ||||
\(794\) | −7.40203 | + | 34.8238i | −0.262688 | + | 1.23585i | ||||
\(795\) | 8.67878 | + | 4.82474i | 0.307805 | + | 0.171116i | ||||
\(796\) | 14.6774 | + | 13.2156i | 0.520226 | + | 0.468413i | ||||
\(797\) | −0.179628 | + | 1.70905i | −0.00636276 | + | 0.0605376i | −0.997243 | − | 0.0742112i | \(-0.976356\pi\) |
0.990880 | + | 0.134749i | \(0.0430228\pi\) | |||||||
\(798\) | 0.316238 | + | 0.275588i | 0.0111947 | + | 0.00975570i | ||||
\(799\) | 10.2915 | − | 1.08168i | 0.364088 | − | 0.0382672i | ||||
\(800\) | 0.866025 | + | 0.500000i | 0.0306186 | + | 0.0176777i | ||||
\(801\) | −5.83395 | − | 16.1526i | −0.206132 | − | 0.570724i | ||||
\(802\) | −12.9437 | − | 17.8155i | −0.457059 | − | 0.629088i | ||||
\(803\) | 5.22559 | − | 4.70514i | 0.184407 | − | 0.166041i | ||||
\(804\) | 13.5185 | − | 3.10342i | 0.476760 | − | 0.109449i | ||||
\(805\) | − | 9.32075i | − | 0.328513i | ||||||
\(806\) | 1.57250 | + | 6.38834i | 0.0553891 | + | 0.225020i | ||||
\(807\) | −1.22877 | + | 13.8480i | −0.0432547 | + | 0.487472i | ||||
\(808\) | 2.19400 | + | 6.75245i | 0.0771848 | + | 0.237550i | ||||
\(809\) | 16.6357 | + | 18.4759i | 0.584882 | + | 0.649577i | 0.960854 | − | 0.277054i | \(-0.0893580\pi\) |
−0.375973 | + | 0.926631i | \(0.622691\pi\) | |||||||
\(810\) | −8.66350 | + | 2.43799i | −0.304404 | + | 0.0856623i | ||||
\(811\) | 14.4885 | + | 25.0949i | 0.508761 | + | 0.881201i | 0.999949 | + | 0.0101465i | \(0.00322980\pi\) |
−0.491187 | + | 0.871054i | \(0.663437\pi\) | |||||||
\(812\) | −6.73319 | + | 11.6622i | −0.236289 | + | 0.409264i | ||||
\(813\) | −0.180454 | − | 11.1251i | −0.00632879 | − | 0.390175i | ||||
\(814\) | 1.41804 | + | 1.03026i | 0.0497022 | + | 0.0361107i | ||||
\(815\) | −16.3719 | − | 1.72076i | −0.573483 | − | 0.0602755i | ||||
\(816\) | −4.57089 | − | 4.91383i | −0.160013 | − | 0.172018i | ||||
\(817\) | 0.108864 | − | 0.244512i | 0.00380865 | − | 0.00855438i | ||||
\(818\) | 6.25057 | + | 1.32860i | 0.218546 | + | 0.0464534i | ||||
\(819\) | −0.274857 | − | 8.47035i | −0.00960426 | − | 0.295978i | ||||
\(820\) | 3.42485 | − | 1.52484i | 0.119601 | − | 0.0532498i | ||||
\(821\) | 5.88112 | − | 18.1002i | 0.205252 | − | 0.631702i | −0.794451 | − | 0.607329i | \(-0.792241\pi\) |
0.999703 | − | 0.0243730i | \(-0.00775893\pi\) | |||||||
\(822\) | −6.45743 | + | 15.1607i | −0.225229 | + | 0.528790i | ||||
\(823\) | 7.40845 | + | 16.6396i | 0.258242 | + | 0.580021i | 0.995412 | − | 0.0956866i | \(-0.0305047\pi\) |
−0.737169 | + | 0.675708i | \(0.763838\pi\) | |||||||
\(824\) | 1.72331 | + | 8.10756i | 0.0600345 | + | 0.282440i | ||||
\(825\) | −0.615181 | + | 2.00332i | −0.0214178 | + | 0.0697466i | ||||
\(826\) | −21.0931 | − | 9.39124i | −0.733922 | − | 0.326763i | ||||
\(827\) | 7.02059 | − | 7.79715i | 0.244130 | − | 0.271134i | −0.608610 | − | 0.793469i | \(-0.708273\pi\) |
0.852740 | + | 0.522336i | \(0.174939\pi\) | |||||||
\(828\) | −3.25166 | + | 11.2351i | −0.113003 | + | 0.390448i | ||||
\(829\) | 26.4399 | − | 36.3914i | 0.918296 | − | 1.26393i | −0.0459570 | − | 0.998943i | \(-0.514634\pi\) |
0.964253 | − | 0.264983i | \(-0.0853663\pi\) | |||||||
\(830\) | −0.735985 | − | 7.00243i | −0.0255464 | − | 0.243058i | ||||
\(831\) | 3.78262 | − | 5.38798i | 0.131218 | − | 0.186907i | ||||
\(832\) | 1.02332 | − | 0.590815i | 0.0354773 | − | 0.0204828i | ||||
\(833\) | 4.02646 | − | 2.92540i | 0.139509 | − | 0.101359i | ||||
\(834\) | −20.3044 | + | 15.2612i | −0.703083 | + | 0.528452i | ||||
\(835\) | 2.58410 | − | 0.839626i | 0.0894266 | − | 0.0290565i | ||||
\(836\) | −0.122566 | −0.00423904 | ||||||||
\(837\) | 2.32848 | + | 28.8371i | 0.0804840 | + | 0.996756i | ||||
\(838\) | −21.0943 | −0.728689 | ||||||||
\(839\) | −11.4351 | + | 3.71549i | −0.394783 | + | 0.128273i | −0.499680 | − | 0.866210i | \(-0.666549\pi\) |
0.104896 | + | 0.994483i | \(0.466549\pi\) | |||||||
\(840\) | −3.31009 | + | 2.48793i | −0.114209 | + | 0.0858418i | ||||
\(841\) | −2.20727 | + | 1.60367i | −0.0761127 | + | 0.0552991i | ||||
\(842\) | −5.21560 | + | 3.01123i | −0.179741 | + | 0.103774i | ||||
\(843\) | 1.71892 | − | 2.44844i | 0.0592028 | − | 0.0843286i | ||||
\(844\) | 0.212238 | + | 2.01931i | 0.00730554 | + | 0.0695075i | ||||
\(845\) | −6.82051 | + | 9.38763i | −0.234633 | + | 0.322944i | ||||
\(846\) | −2.22748 | + | 7.69640i | −0.0765824 | + | 0.264608i | ||||
\(847\) | −15.2549 | + | 16.9422i | −0.524163 | + | 0.582142i | ||||
\(848\) | −5.23729 | − | 2.33179i | −0.179849 | − | 0.0800740i | ||||
\(849\) | −6.65247 | + | 21.6636i | −0.228312 | + | 0.743492i | ||||
\(850\) | 0.805585 | + | 3.78998i | 0.0276313 | + | 0.129995i | ||||
\(851\) | −2.29726 | − | 5.15972i | −0.0787490 | − | 0.176873i | ||||
\(852\) | −7.29748 | + | 17.1329i | −0.250007 | + | 0.586965i | ||||
\(853\) | −3.57940 | + | 11.0163i | −0.122556 | + | 0.377189i | −0.993448 | − | 0.114286i | \(-0.963542\pi\) |
0.870892 | + | 0.491475i | \(0.163542\pi\) | |||||||
\(854\) | 24.8899 | − | 11.0817i | 0.851715 | − | 0.379208i | ||||
\(855\) | 0.00985623 | + | 0.303743i | 0.000337076 | + | 0.0103878i | ||||
\(856\) | −15.5345 | − | 3.30197i | −0.530960 | − | 0.112859i | ||||
\(857\) | 18.3768 | − | 41.2750i | 0.627740 | − | 1.40993i | −0.267157 | − | 0.963653i | \(-0.586084\pi\) |
0.894897 | − | 0.446274i | \(-0.147249\pi\) | |||||||
\(858\) | 1.68658 | + | 1.81312i | 0.0575789 | + | 0.0618988i | ||||
\(859\) | −33.6759 | − | 3.53948i | −1.14901 | − | 0.120766i | −0.489180 | − | 0.872183i | \(-0.662704\pi\) |
−0.659828 | + | 0.751417i | \(0.729371\pi\) | |||||||
\(860\) | 2.13754 | + | 1.55301i | 0.0728894 | + | 0.0529573i | ||||
\(861\) | 0.251770 | + | 15.5218i | 0.00858028 | + | 0.528982i | ||||
\(862\) | 13.6462 | − | 23.6359i | 0.464791 | − | 0.805041i | ||||
\(863\) | 3.18409 | + | 5.51500i | 0.108388 | + | 0.187733i | 0.915117 | − | 0.403188i | \(-0.132098\pi\) |
−0.806730 | + | 0.590921i | \(0.798765\pi\) | |||||||
\(864\) | 4.85789 | − | 1.84416i | 0.165269 | − | 0.0627395i | ||||
\(865\) | −1.91913 | − | 2.13141i | −0.0652523 | − | 0.0724700i | ||||
\(866\) | 11.4443 | + | 35.2220i | 0.388894 | + | 1.19689i | ||||
\(867\) | −0.304199 | + | 3.42827i | −0.0103312 | + | 0.116430i | ||||
\(868\) | 5.79930 | + | 11.9812i | 0.196841 | + | 0.406668i | ||||
\(869\) | − | 12.5679i | − | 0.426336i | ||||||
\(870\) | −9.50893 | + | 2.18295i | −0.322383 | + | 0.0740089i | ||||
\(871\) | −7.03193 | + | 6.33158i | −0.238268 | + | 0.214537i | ||||
\(872\) | 3.04398 | + | 4.18968i | 0.103082 | + | 0.141881i | ||||
\(873\) | −3.61342 | − | 10.0046i | −0.122296 | − | 0.338603i | ||||
\(874\) | 0.342033 | + | 0.197473i | 0.0115694 | + | 0.00667961i | ||||
\(875\) | 2.37761 | − | 0.249897i | 0.0803781 | − | 0.00844807i | ||||
\(876\) | 7.58889 | + | 6.61338i | 0.256405 | + | 0.223446i | ||||
\(877\) | −4.45735 | + | 42.4089i | −0.150514 | + | 1.43205i | 0.614949 | + | 0.788567i | \(0.289177\pi\) |
−0.765463 | + | 0.643480i | \(0.777490\pi\) | |||||||
\(878\) | −7.11892 | − | 6.40991i | −0.240252 | − | 0.216324i | ||||
\(879\) | 21.7263 | + | 12.0782i | 0.732811 | + | 0.407387i | ||||
\(880\) | 0.251557 | − | 1.18348i | 0.00847998 | − | 0.0398952i | ||||
\(881\) | −48.7672 | + | 10.3658i | −1.64301 | + | 0.349232i | −0.934361 | − | 0.356329i | \(-0.884028\pi\) |
−0.708649 | + | 0.705561i | \(0.750695\pi\) | |||||||
\(882\) | 0.923012 | + | 3.74132i | 0.0310794 | + | 0.125977i | ||||
\(883\) | 43.6376 | + | 14.1787i | 1.46852 | + | 0.477152i | 0.930662 | − | 0.365881i | \(-0.119232\pi\) |
0.537862 | + | 0.843033i | \(0.319232\pi\) | |||||||
\(884\) | 4.35432 | + | 1.41480i | 0.146452 | + | 0.0475850i | ||||
\(885\) | −5.42657 | − | 15.8233i | −0.182412 | − | 0.531895i | ||||
\(886\) | −4.38582 | + | 0.932235i | −0.147344 | + | 0.0313190i | ||||
\(887\) | 6.89352 | − | 32.4314i | 0.231462 | − | 1.08894i | −0.696873 | − | 0.717195i | \(-0.745426\pi\) |
0.928334 | − | 0.371746i | \(-0.121241\pi\) | |||||||
\(888\) | −1.21919 | + | 2.19308i | −0.0409132 | + | 0.0735950i | ||||
\(889\) | 24.2023 | + | 21.7919i | 0.811720 | + | 0.730876i | ||||
\(890\) | 0.598386 | − | 5.69326i | 0.0200579 | − | 0.190839i | ||||
\(891\) | 6.04457 | + | 9.05759i | 0.202501 | + | 0.303441i | ||||
\(892\) | 8.54852 | − | 0.898486i | 0.286226 | − | 0.0300835i | ||||
\(893\) | 0.234303 | + | 0.135275i | 0.00784064 | + | 0.00452680i | ||||
\(894\) | 2.96026 | − | 1.37595i | 0.0990059 | − | 0.0460185i | ||||
\(895\) | 4.84563 | + | 6.66944i | 0.161972 | + | 0.222935i | ||||
\(896\) | 1.77664 | − | 1.59970i | 0.0593535 | − | 0.0534422i | ||||
\(897\) | −1.78536 | − | 7.77702i | −0.0596114 | − | 0.259667i | ||||
\(898\) | − | 24.4606i | − | 0.816259i | ||||||
\(899\) | 1.00073 | + | 31.3461i | 0.0333762 | + | 1.04545i | ||||
\(900\) | −2.95313 | − | 0.528237i | −0.0984376 | − | 0.0176079i | ||||
\(901\) | −6.86422 | − | 21.1259i | −0.228680 | − | 0.703806i | ||||
\(902\) | −3.03515 | − | 3.37088i | −0.101059 | − | 0.112238i | ||||
\(903\) | −9.38493 | + | 5.62328i | −0.312311 | + | 0.187131i | ||||
\(904\) | 6.12647 | + | 10.6114i | 0.203764 | + | 0.352929i | ||||
\(905\) | −3.60727 | + | 6.24798i | −0.119910 | + | 0.207690i | ||||
\(906\) | 16.2011 | − | 0.262788i | 0.538246 | − | 0.00873055i | ||||
\(907\) | −22.4220 | − | 16.2905i | −0.744510 | − | 0.540918i | 0.149610 | − | 0.988745i | \(-0.452198\pi\) |
−0.894120 | + | 0.447827i | \(0.852198\pi\) | |||||||
\(908\) | 22.0530 | + | 2.31786i | 0.731853 | + | 0.0769208i | ||||
\(909\) | −13.0720 | − | 16.8168i | −0.433571 | − | 0.557779i | ||||
\(910\) | 1.14900 | − | 2.58071i | 0.0380891 | − | 0.0855496i | ||||
\(911\) | −48.5643 | − | 10.3227i | −1.60901 | − | 0.342005i | −0.686245 | − | 0.727371i | \(-0.740742\pi\) |
−0.922764 | + | 0.385365i | \(0.874075\pi\) | |||||||
\(912\) | −0.0211680 | − | 0.174177i | −0.000700943 | − | 0.00576757i | ||||
\(913\) | −7.78255 | + | 3.46501i | −0.257565 | + | 0.114675i | ||||
\(914\) | −5.10526 | + | 15.7124i | −0.168867 | + | 0.519719i | ||||
\(915\) | 18.1604 | + | 7.73509i | 0.600363 | + | 0.255714i | ||||
\(916\) | 4.52540 | + | 10.1642i | 0.149523 | + | 0.335835i | ||||
\(917\) | −0.642319 | − | 3.02188i | −0.0212113 | − | 0.0997911i | ||||
\(918\) | 17.9049 | + | 9.20668i | 0.590950 | + | 0.303866i | ||||
\(919\) | 0.372712 | + | 0.165942i | 0.0122946 | + | 0.00547392i | 0.412875 | − | 0.910788i | \(-0.364525\pi\) |
−0.400580 | + | 0.916262i | \(0.631191\pi\) | |||||||
\(920\) | −2.60876 | + | 2.89733i | −0.0860084 | + | 0.0955220i | ||||
\(921\) | −46.1690 | − | 9.03350i | −1.52132 | − | 0.297664i | ||||
\(922\) | 4.36554 | − | 6.00865i | 0.143771 | − | 0.197884i | ||||
\(923\) | −1.32797 | − | 12.6348i | −0.0437108 | − | 0.415880i | ||||
\(924\) | 4.10047 | + | 2.87873i | 0.134896 | + | 0.0947033i | ||||
\(925\) | 1.25459 | − | 0.724340i | 0.0412508 | − | 0.0238162i | ||||
\(926\) | −11.1160 | + | 8.07624i | −0.365294 | + | 0.265402i | ||||
\(927\) | −13.1249 | − | 21.1201i | −0.431078 | − | 0.693674i | ||||
\(928\) | 5.35710 | − | 1.74063i | 0.175856 | − | 0.0571389i | ||||
\(929\) | 15.4813 | 0.507925 | 0.253962 | − | 0.967214i | \(-0.418266\pi\) | ||||
0.253962 | + | 0.967214i | \(0.418266\pi\) | |||||||
\(930\) | −3.49400 | + | 8.98844i | −0.114573 | + | 0.294742i | ||||
\(931\) | 0.130121 | 0.00426454 | ||||||||
\(932\) | 3.65792 | − | 1.18853i | 0.119819 | − | 0.0389316i | ||||
\(933\) | −12.7236 | − | 16.9282i | −0.416551 | − | 0.554203i | ||||
\(934\) | −27.1620 | + | 19.7344i | −0.888769 | + | 0.645728i | ||||
\(935\) | 4.05995 | − | 2.34401i | 0.132774 | − | 0.0766574i | ||||
\(936\) | −2.28531 | + | 2.70991i | −0.0746976 | + | 0.0885761i | ||||
\(937\) | −0.468153 | − | 4.45418i | −0.0152939 | − | 0.145512i | 0.984210 | − | 0.177004i | \(-0.0566406\pi\) |
−0.999504 | + | 0.0314926i | \(0.989974\pi\) | |||||||
\(938\) | −11.2529 | + | 15.4883i | −0.367421 | + | 0.505712i | ||||
\(939\) | −2.86860 | + | 14.6610i | −0.0936132 | + | 0.478444i | ||||
\(940\) | −1.78708 | + | 1.98475i | −0.0582882 | + | 0.0647356i | ||||
\(941\) | 14.6554 | + | 6.52501i | 0.477753 | + | 0.212709i | 0.631462 | − | 0.775407i | \(-0.282455\pi\) |
−0.153709 | + | 0.988116i | \(0.549122\pi\) | |||||||
\(942\) | −17.2717 | − | 5.30381i | −0.562742 | − | 0.172807i | ||||
\(943\) | 3.03889 | + | 14.2968i | 0.0989598 | + | 0.465569i | ||||
\(944\) | 3.92822 | + | 8.82293i | 0.127853 | + | 0.287162i | ||||
\(945\) | 6.80431 | − | 10.3933i | 0.221344 | − | 0.338093i | ||||
\(946\) | 0.987861 | − | 3.04032i | 0.0321181 | − | 0.0988494i | ||||
\(947\) | 42.4357 | − | 18.8936i | 1.37897 | − | 0.613959i | 0.422657 | − | 0.906290i | \(-0.361097\pi\) |
0.956317 | + | 0.292331i | \(0.0944308\pi\) | |||||||
\(948\) | 17.8600 | − | 2.17056i | 0.580065 | − | 0.0704964i | ||||
\(949\) | −6.71723 | − | 1.42779i | −0.218050 | − | 0.0463480i | ||||
\(950\) | −0.0412028 | + | 0.0925430i | −0.00133679 | + | 0.00300249i | ||||
\(951\) | 23.8729 | − | 22.2068i | 0.774133 | − | 0.720106i | ||||
\(952\) | 9.21242 | + | 0.968265i | 0.298576 | + | 0.0313816i | ||||
\(953\) | −36.3641 | − | 26.4201i | −1.17795 | − | 0.855831i | −0.186011 | − | 0.982548i | \(-0.559556\pi\) |
−0.991939 | + | 0.126717i | \(0.959556\pi\) | |||||||
\(954\) | 17.1539 | + | 1.24208i | 0.555377 | + | 0.0402137i | ||||
\(955\) | 3.82996 | − | 6.63369i | 0.123935 | − | 0.214661i | ||||
\(956\) | −2.97833 | − | 5.15862i | −0.0963261 | − | 0.166842i | ||||
\(957\) | 6.06719 | + | 10.1258i | 0.196124 | + | 0.327320i | ||||
\(958\) | −0.591495 | − | 0.656922i | −0.0191103 | − | 0.0212242i | ||||
\(959\) | −7.02862 | − | 21.6319i | −0.226966 | − | 0.698529i | ||||
\(960\) | 1.72527 | + | 0.153088i | 0.0556829 | + | 0.00494089i | ||||
\(961\) | 26.1907 | + | 16.5845i | 0.844862 | + | 0.534985i | ||||
\(962\) | − | 1.71180i | − | 0.0551908i | ||||||
\(963\) | 47.1973 | − | 6.51438i | 1.52091 | − | 0.209923i | ||||
\(964\) | −15.4678 | + | 13.9273i | −0.498184 | + | 0.448567i | ||||
\(965\) | −12.8437 | − | 17.6778i | −0.413452 | − | 0.569068i | ||||
\(966\) | −6.80469 | − | 14.6399i | −0.218937 | − | 0.471030i | ||||
\(967\) | 23.7376 | + | 13.7049i | 0.763350 | + | 0.440720i | 0.830497 | − | 0.557023i | \(-0.188056\pi\) |
−0.0671475 | + | 0.997743i | \(0.521390\pi\) | |||||||
\(968\) | 9.48385 | − | 0.996793i | 0.304822 | − | 0.0320381i | ||||
\(969\) | 0.446648 | − | 0.512530i | 0.0143484 | − | 0.0164648i | ||||
\(970\) | 0.370627 | − | 3.52628i | 0.0119001 | − | 0.113222i | ||||
\(971\) | 20.5955 | + | 18.5442i | 0.660940 | + | 0.595113i | 0.929800 | − | 0.368066i | \(-0.119980\pi\) |
−0.268859 | + | 0.963179i | \(0.586647\pi\) | |||||||
\(972\) | −11.8277 | + | 10.1541i | −0.379372 | + | 0.325694i | ||||
\(973\) | 7.28925 | − | 34.2932i | 0.233683 | − | 1.09939i | ||||
\(974\) | 23.0922 | − | 4.90839i | 0.739921 | − | 0.157275i | ||||
\(975\) | 1.93596 | − | 0.663932i | 0.0620003 | − | 0.0212629i | ||||
\(976\) | −10.8386 | − | 3.52167i | −0.346934 | − | 0.112726i | ||||
\(977\) | −27.7450 | − | 9.01491i | −0.887642 | − | 0.288412i | −0.170515 | − | 0.985355i | \(-0.554543\pi\) |
−0.717127 | + | 0.696943i | \(0.754543\pi\) | |||||||
\(978\) | −26.9712 | + | 9.24970i | −0.862443 | + | 0.295773i | ||||
\(979\) | −6.77499 | + | 1.44007i | −0.216529 | + | 0.0460248i | ||||
\(980\) | −0.267062 | + | 1.25643i | −0.00853100 | + | 0.0401352i | ||||
\(981\) | −12.8586 | − | 8.71950i | −0.410544 | − | 0.278392i | ||||
\(982\) | 26.9779 | + | 24.2910i | 0.860899 | + | 0.775157i | ||||
\(983\) | 4.30510 | − | 40.9603i | 0.137311 | − | 1.30643i | −0.681267 | − | 0.732035i | \(-0.738571\pi\) |
0.818578 | − | 0.574395i | \(-0.194763\pi\) | |||||||
\(984\) | 4.26610 | − | 4.89537i | 0.135998 | − | 0.156059i | ||||
\(985\) | −14.9669 | + | 1.57309i | −0.476886 | + | 0.0501227i | ||||
\(986\) | 18.9011 | + | 10.9125i | 0.601933 | + | 0.347526i | ||||
\(987\) | −4.66142 | − | 10.0287i | −0.148375 | − | 0.319218i | ||||
\(988\) | 0.0703580 | + | 0.0968394i | 0.00223838 | + | 0.00308087i | ||||
\(989\) | −7.65514 | + | 6.89272i | −0.243419 | + | 0.219176i | ||||
\(990\) | 0.496291 | + | 3.59568i | 0.0157732 | + | 0.114278i | ||||
\(991\) | − | 43.6106i | − | 1.38534i | −0.721256 | − | 0.692669i | \(-0.756435\pi\) | ||
0.721256 | − | 0.692669i | \(-0.243565\pi\) | |||||||
\(992\) | 1.55069 | − | 5.34746i | 0.0492345 | − | 0.169782i | ||||
\(993\) | 54.6312 | + | 4.84757i | 1.73367 | + | 0.153833i | ||||
\(994\) | −7.94297 | − | 24.4459i | −0.251936 | − | 0.775378i | ||||
\(995\) | −13.2156 | − | 14.6774i | −0.418962 | − | 0.465304i | ||||
\(996\) | −6.26817 | − | 10.4612i | −0.198615 | − | 0.331476i | ||||
\(997\) | 28.5401 | + | 49.4330i | 0.903875 | + | 1.56556i | 0.822420 | + | 0.568881i | \(0.192624\pi\) |
0.0814555 | + | 0.996677i | \(0.474043\pi\) | |||||||
\(998\) | 1.65134 | − | 2.86021i | 0.0522723 | − | 0.0905383i | ||||
\(999\) | 1.20509 | − | 7.43048i | 0.0381275 | − | 0.235090i |
(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 | 930.2.br.b.11.9 | ✓ | 176 | |
3.2 | odd | 2 | inner | 930.2.br.b.11.20 | yes | 176 | |
31.17 | odd | 30 | inner | 930.2.br.b.761.20 | yes | 176 | |
93.17 | even | 30 | inner | 930.2.br.b.761.9 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.br.b.11.9 | ✓ | 176 | 1.1 | even | 1 | trivial | |
930.2.br.b.11.20 | yes | 176 | 3.2 | odd | 2 | inner | |
930.2.br.b.761.9 | yes | 176 | 93.17 | even | 30 | inner | |
930.2.br.b.761.20 | yes | 176 | 31.17 | odd | 30 | inner |