Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(481,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.481");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.n (of order \(5\), degree \(4\), 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: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{11} + 16 x^{10} - 6 x^{9} + 161 x^{8} - 180 x^{7} + 1725 x^{6} - 2255 x^{5} + 17635 x^{4} - 18375 x^{3} + 60975 x^{2} + 2000 x + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 721.1 | ||
Root | \(1.05776 + 3.25545i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.721 |
Dual form | 930.2.n.e.841.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | ||||
\(3\) | 0.309017 | + | 0.951057i | 0.178411 | + | 0.549093i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | −1.96024 | − | 1.42420i | −0.740900 | − | 0.538295i | 0.152093 | − | 0.988366i | \(-0.451399\pi\) |
−0.892993 | + | 0.450071i | \(0.851399\pi\) | |||||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | −0.309017 | + | 0.951057i | −0.0977198 | + | 0.300750i | ||||
\(11\) | −1.46024 | − | 1.06092i | −0.440278 | − | 0.319881i | 0.345467 | − | 0.938431i | \(-0.387720\pi\) |
−0.785745 | + | 0.618550i | \(0.787720\pi\) | |||||||
\(12\) | 0.309017 | − | 0.951057i | 0.0892055 | − | 0.274546i | ||||
\(13\) | −1.45758 | − | 4.48597i | −0.404260 | − | 1.24419i | −0.921511 | − | 0.388351i | \(-0.873045\pi\) |
0.517251 | − | 0.855834i | \(-0.326955\pi\) | |||||||
\(14\) | 1.96024 | − | 1.42420i | 0.523895 | − | 0.380632i | ||||
\(15\) | 0.309017 | + | 0.951057i | 0.0797878 | + | 0.245562i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 4.05638 | − | 2.94713i | 0.983816 | − | 0.714784i | 0.0252579 | − | 0.999681i | \(-0.491959\pi\) |
0.958558 | + | 0.284897i | \(0.0919593\pi\) | |||||||
\(18\) | −0.309017 | − | 0.951057i | −0.0728360 | − | 0.224166i | ||||
\(19\) | −0.100180 | + | 0.308322i | −0.0229828 | + | 0.0707339i | −0.961890 | − | 0.273436i | \(-0.911840\pi\) |
0.938907 | + | 0.344170i | \(0.111840\pi\) | |||||||
\(20\) | −0.809017 | − | 0.587785i | −0.180902 | − | 0.131433i | ||||
\(21\) | 0.748744 | − | 2.30440i | 0.163389 | − | 0.502861i | ||||
\(22\) | 1.46024 | − | 1.06092i | 0.311323 | − | 0.226190i | ||||
\(23\) | −0.902476 | + | 0.655687i | −0.188179 | + | 0.136720i | −0.677886 | − | 0.735167i | \(-0.737104\pi\) |
0.489707 | + | 0.871887i | \(0.337104\pi\) | |||||||
\(24\) | 0.809017 | + | 0.587785i | 0.165140 | + | 0.119981i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 4.71683 | 0.925047 | ||||||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | 0.748744 | + | 2.30440i | 0.141499 | + | 0.435490i | ||||
\(29\) | 2.50698 | − | 7.71569i | 0.465534 | − | 1.43277i | −0.392775 | − | 0.919635i | \(-0.628485\pi\) |
0.858309 | − | 0.513133i | \(-0.171515\pi\) | |||||||
\(30\) | −1.00000 | −0.182574 | ||||||||
\(31\) | −3.74736 | − | 4.11792i | −0.673046 | − | 0.739601i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.557761 | − | 1.71661i | 0.0970937 | − | 0.298824i | ||||
\(34\) | 1.54940 | + | 4.76856i | 0.265720 | + | 0.817801i | ||||
\(35\) | −1.96024 | − | 1.42420i | −0.331340 | − | 0.240733i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | 8.55247 | 1.40602 | 0.703008 | − | 0.711182i | \(-0.251840\pi\) | ||||
0.703008 | + | 0.711182i | \(0.251840\pi\) | |||||||
\(38\) | −0.262274 | − | 0.190553i | −0.0425465 | − | 0.0309118i | ||||
\(39\) | 3.81600 | − | 2.77248i | 0.611048 | − | 0.443953i | ||||
\(40\) | 0.809017 | − | 0.587785i | 0.127917 | − | 0.0929370i | ||||
\(41\) | −0.649419 | + | 1.99870i | −0.101422 | + | 0.312145i | −0.988874 | − | 0.148755i | \(-0.952473\pi\) |
0.887452 | + | 0.460900i | \(0.152473\pi\) | |||||||
\(42\) | 1.96024 | + | 1.42420i | 0.302471 | + | 0.219758i | ||||
\(43\) | −1.66907 | + | 5.13688i | −0.254531 | + | 0.783367i | 0.739390 | + | 0.673277i | \(0.235114\pi\) |
−0.993922 | + | 0.110090i | \(0.964886\pi\) | |||||||
\(44\) | 0.557761 | + | 1.71661i | 0.0840856 | + | 0.258789i | ||||
\(45\) | −0.809017 | + | 0.587785i | −0.120601 | + | 0.0876219i | ||||
\(46\) | −0.344715 | − | 1.06092i | −0.0508255 | − | 0.156425i | ||||
\(47\) | −1.86006 | − | 5.72467i | −0.271317 | − | 0.835028i | −0.990170 | − | 0.139866i | \(-0.955333\pi\) |
0.718853 | − | 0.695162i | \(-0.244667\pi\) | |||||||
\(48\) | −0.809017 | + | 0.587785i | −0.116772 | + | 0.0848395i | ||||
\(49\) | −0.348924 | − | 1.07388i | −0.0498462 | − | 0.153411i | ||||
\(50\) | −0.309017 | + | 0.951057i | −0.0437016 | + | 0.134500i | ||||
\(51\) | 4.05638 | + | 2.94713i | 0.568007 | + | 0.412681i | ||||
\(52\) | −1.45758 | + | 4.48597i | −0.202130 | + | 0.622093i | ||||
\(53\) | −1.13590 | + | 0.825283i | −0.156029 | + | 0.113361i | −0.663060 | − | 0.748566i | \(-0.730743\pi\) |
0.507032 | + | 0.861927i | \(0.330743\pi\) | |||||||
\(54\) | 0.809017 | − | 0.587785i | 0.110093 | − | 0.0799874i | ||||
\(55\) | −1.46024 | − | 1.06092i | −0.196898 | − | 0.143055i | ||||
\(56\) | −2.42299 | −0.323785 | ||||||||
\(57\) | −0.324189 | −0.0429398 | ||||||||
\(58\) | 6.56336 | + | 4.76856i | 0.861811 | + | 0.626142i | ||||
\(59\) | −2.07310 | − | 6.38035i | −0.269895 | − | 0.830651i | −0.990525 | − | 0.137332i | \(-0.956147\pi\) |
0.720630 | − | 0.693320i | \(-0.243853\pi\) | |||||||
\(60\) | 0.309017 | − | 0.951057i | 0.0398939 | − | 0.122781i | ||||
\(61\) | −15.5525 | −1.99129 | −0.995645 | − | 0.0932298i | \(-0.970281\pi\) | ||||
−0.995645 | + | 0.0932298i | \(0.970281\pi\) | |||||||
\(62\) | 5.07438 | − | 2.29144i | 0.644446 | − | 0.291014i | ||||
\(63\) | 2.42299 | 0.305268 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −1.45758 | − | 4.48597i | −0.180791 | − | 0.556416i | ||||
\(66\) | 1.46024 | + | 1.06092i | 0.179743 | + | 0.130591i | ||||
\(67\) | 16.3524 | 1.99776 | 0.998881 | − | 0.0472865i | \(-0.0150574\pi\) | ||||
0.998881 | + | 0.0472865i | \(0.0150574\pi\) | |||||||
\(68\) | −5.01396 | −0.608032 | ||||||||
\(69\) | −0.902476 | − | 0.655687i | −0.108645 | − | 0.0789354i | ||||
\(70\) | 1.96024 | − | 1.42420i | 0.234293 | − | 0.170224i | ||||
\(71\) | 8.91048 | − | 6.47384i | 1.05748 | − | 0.768304i | 0.0838590 | − | 0.996478i | \(-0.473275\pi\) |
0.973620 | + | 0.228174i | \(0.0732755\pi\) | |||||||
\(72\) | −0.309017 | + | 0.951057i | −0.0364180 | + | 0.112083i | ||||
\(73\) | 4.87235 | + | 3.53997i | 0.570265 | + | 0.414322i | 0.835202 | − | 0.549944i | \(-0.185351\pi\) |
−0.264936 | + | 0.964266i | \(0.585351\pi\) | |||||||
\(74\) | −2.64286 | + | 8.13388i | −0.307226 | + | 0.945544i | ||||
\(75\) | 0.309017 | + | 0.951057i | 0.0356822 | + | 0.109819i | ||||
\(76\) | 0.262274 | − | 0.190553i | 0.0300849 | − | 0.0218580i | ||||
\(77\) | 1.35145 | + | 4.15932i | 0.154012 | + | 0.473999i | ||||
\(78\) | 1.45758 | + | 4.48597i | 0.165039 | + | 0.507936i | ||||
\(79\) | −3.44939 | + | 2.50613i | −0.388087 | + | 0.281961i | −0.764671 | − | 0.644421i | \(-0.777098\pi\) |
0.376584 | + | 0.926382i | \(0.377098\pi\) | |||||||
\(80\) | 0.309017 | + | 0.951057i | 0.0345492 | + | 0.106331i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −1.70020 | − | 1.23527i | −0.187756 | − | 0.136412i | ||||
\(83\) | −2.69898 | + | 8.30660i | −0.296251 | + | 0.911767i | 0.686547 | + | 0.727085i | \(0.259126\pi\) |
−0.982798 | + | 0.184682i | \(0.940874\pi\) | |||||||
\(84\) | −1.96024 | + | 1.42420i | −0.213879 | + | 0.155392i | ||||
\(85\) | 4.05638 | − | 2.94713i | 0.439976 | − | 0.319661i | ||||
\(86\) | −4.36969 | − | 3.17477i | −0.471196 | − | 0.342344i | ||||
\(87\) | 8.11276 | 0.869779 | ||||||||
\(88\) | −1.80495 | −0.192408 | ||||||||
\(89\) | −7.37667 | − | 5.35947i | −0.781926 | − | 0.568102i | 0.123631 | − | 0.992328i | \(-0.460546\pi\) |
−0.905556 | + | 0.424226i | \(0.860546\pi\) | |||||||
\(90\) | −0.309017 | − | 0.951057i | −0.0325733 | − | 0.100250i | ||||
\(91\) | −3.53170 | + | 10.8694i | −0.370223 | + | 1.13943i | ||||
\(92\) | 1.11552 | 0.116301 | ||||||||
\(93\) | 2.75838 | − | 4.83646i | 0.286031 | − | 0.501518i | ||||
\(94\) | 6.01927 | 0.620840 | ||||||||
\(95\) | −0.100180 | + | 0.308322i | −0.0102782 | + | 0.0316331i | ||||
\(96\) | −0.309017 | − | 0.951057i | −0.0315389 | − | 0.0970668i | ||||
\(97\) | 14.2119 | + | 10.3256i | 1.44300 | + | 1.04840i | 0.987404 | + | 0.158219i | \(0.0505751\pi\) |
0.455600 | + | 0.890185i | \(0.349425\pi\) | |||||||
\(98\) | 1.12914 | 0.114060 | ||||||||
\(99\) | 1.80495 | 0.181404 | ||||||||
\(100\) | −0.809017 | − | 0.587785i | −0.0809017 | − | 0.0587785i | ||||
\(101\) | 14.1775 | − | 10.3006i | 1.41071 | − | 1.02494i | 0.417495 | − | 0.908679i | \(-0.362908\pi\) |
0.993218 | − | 0.116264i | \(-0.0370920\pi\) | |||||||
\(102\) | −4.05638 | + | 2.94713i | −0.401641 | + | 0.291809i | ||||
\(103\) | −5.45135 | + | 16.7775i | −0.537137 | + | 1.65314i | 0.201848 | + | 0.979417i | \(0.435305\pi\) |
−0.738986 | + | 0.673721i | \(0.764695\pi\) | |||||||
\(104\) | −3.81600 | − | 2.77248i | −0.374189 | − | 0.271864i | ||||
\(105\) | 0.748744 | − | 2.30440i | 0.0730699 | − | 0.224886i | ||||
\(106\) | −0.433877 | − | 1.33534i | −0.0421419 | − | 0.129699i | ||||
\(107\) | −2.69184 | + | 1.95573i | −0.260230 | + | 0.189068i | −0.710248 | − | 0.703951i | \(-0.751417\pi\) |
0.450019 | + | 0.893019i | \(0.351417\pi\) | |||||||
\(108\) | 0.309017 | + | 0.951057i | 0.0297352 | + | 0.0915155i | ||||
\(109\) | 0.978026 | + | 3.01005i | 0.0936779 | + | 0.288311i | 0.986907 | − | 0.161291i | \(-0.0515658\pi\) |
−0.893229 | + | 0.449602i | \(0.851566\pi\) | |||||||
\(110\) | 1.46024 | − | 1.06092i | 0.139228 | − | 0.101155i | ||||
\(111\) | 2.64286 | + | 8.13388i | 0.250849 | + | 0.772034i | ||||
\(112\) | 0.748744 | − | 2.30440i | 0.0707496 | − | 0.217745i | ||||
\(113\) | −5.51661 | − | 4.00806i | −0.518959 | − | 0.377046i | 0.297252 | − | 0.954799i | \(-0.403930\pi\) |
−0.816212 | + | 0.577753i | \(0.803930\pi\) | |||||||
\(114\) | 0.100180 | − | 0.308322i | 0.00938270 | − | 0.0288770i | ||||
\(115\) | −0.902476 | + | 0.655687i | −0.0841563 | + | 0.0611431i | ||||
\(116\) | −6.56336 | + | 4.76856i | −0.609392 | + | 0.442750i | ||||
\(117\) | 3.81600 | + | 2.77248i | 0.352789 | + | 0.256316i | ||||
\(118\) | 6.70870 | 0.617586 | ||||||||
\(119\) | −12.1488 | −1.11367 | ||||||||
\(120\) | 0.809017 | + | 0.587785i | 0.0738528 | + | 0.0536572i | ||||
\(121\) | −2.39246 | − | 7.36322i | −0.217496 | − | 0.669384i | ||||
\(122\) | 4.80598 | − | 14.7913i | 0.435113 | − | 1.33914i | ||||
\(123\) | −2.10156 | −0.189492 | ||||||||
\(124\) | 0.611225 | + | 5.53411i | 0.0548896 | + | 0.496978i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −0.748744 | + | 2.30440i | −0.0667034 | + | 0.205292i | ||||
\(127\) | −3.62388 | − | 11.1532i | −0.321568 | − | 0.989684i | −0.972966 | − | 0.230948i | \(-0.925817\pi\) |
0.651398 | − | 0.758736i | \(-0.274183\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | −5.40124 | −0.475552 | ||||||||
\(130\) | 4.71683 | 0.413693 | ||||||||
\(131\) | −7.29944 | − | 5.30335i | −0.637755 | − | 0.463356i | 0.221323 | − | 0.975201i | \(-0.428962\pi\) |
−0.859078 | + | 0.511844i | \(0.828962\pi\) | |||||||
\(132\) | −1.46024 | + | 1.06092i | −0.127097 | + | 0.0923416i | ||||
\(133\) | 0.635487 | − | 0.461708i | 0.0551037 | − | 0.0400352i | ||||
\(134\) | −5.05317 | + | 15.5520i | −0.436527 | + | 1.34349i | ||||
\(135\) | −0.809017 | − | 0.587785i | −0.0696291 | − | 0.0505885i | ||||
\(136\) | 1.54940 | − | 4.76856i | 0.132860 | − | 0.408900i | ||||
\(137\) | −1.21313 | − | 3.73364i | −0.103645 | − | 0.318987i | 0.885765 | − | 0.464134i | \(-0.153634\pi\) |
−0.989410 | + | 0.145147i | \(0.953634\pi\) | |||||||
\(138\) | 0.902476 | − | 0.655687i | 0.0768238 | − | 0.0558158i | ||||
\(139\) | 2.18271 | + | 6.71769i | 0.185135 | + | 0.569787i | 0.999951 | − | 0.00993322i | \(-0.00316190\pi\) |
−0.814816 | + | 0.579720i | \(0.803162\pi\) | |||||||
\(140\) | 0.748744 | + | 2.30440i | 0.0632804 | + | 0.194757i | ||||
\(141\) | 4.86969 | − | 3.53804i | 0.410102 | − | 0.297957i | ||||
\(142\) | 3.40350 | + | 10.4749i | 0.285615 | + | 0.879034i | ||||
\(143\) | −2.63086 | + | 8.09696i | −0.220004 | + | 0.677102i | ||||
\(144\) | −0.809017 | − | 0.587785i | −0.0674181 | − | 0.0489821i | ||||
\(145\) | 2.50698 | − | 7.71569i | 0.208193 | − | 0.640753i | ||||
\(146\) | −4.87235 | + | 3.53997i | −0.403238 | + | 0.292970i | ||||
\(147\) | 0.913494 | − | 0.663692i | 0.0753437 | − | 0.0547404i | ||||
\(148\) | −6.91909 | − | 5.02701i | −0.568746 | − | 0.413218i | ||||
\(149\) | −12.0385 | −0.986236 | −0.493118 | − | 0.869963i | \(-0.664143\pi\) | ||||
−0.493118 | + | 0.869963i | \(0.664143\pi\) | |||||||
\(150\) | −1.00000 | −0.0816497 | ||||||||
\(151\) | −3.08961 | − | 2.24473i | −0.251429 | − | 0.182674i | 0.454931 | − | 0.890527i | \(-0.349664\pi\) |
−0.706360 | + | 0.707853i | \(0.749664\pi\) | |||||||
\(152\) | 0.100180 | + | 0.308322i | 0.00812566 | + | 0.0250082i | ||||
\(153\) | −1.54940 | + | 4.76856i | −0.125261 | + | 0.385515i | ||||
\(154\) | −4.37337 | −0.352416 | ||||||||
\(155\) | −3.74736 | − | 4.11792i | −0.300995 | − | 0.330759i | ||||
\(156\) | −4.71683 | −0.377649 | ||||||||
\(157\) | −5.35410 | + | 16.4782i | −0.427304 | + | 1.31511i | 0.473467 | + | 0.880812i | \(0.343002\pi\) |
−0.900771 | + | 0.434295i | \(0.856998\pi\) | |||||||
\(158\) | −1.31755 | − | 4.05500i | −0.104819 | − | 0.322598i | ||||
\(159\) | −1.13590 | − | 0.825283i | −0.0900831 | − | 0.0654492i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 2.70289 | 0.213018 | ||||||||
\(162\) | 0.809017 | + | 0.587785i | 0.0635624 | + | 0.0461808i | ||||
\(163\) | 3.64244 | − | 2.64639i | 0.285298 | − | 0.207281i | −0.435927 | − | 0.899982i | \(-0.643579\pi\) |
0.721225 | + | 0.692701i | \(0.243579\pi\) | |||||||
\(164\) | 1.70020 | − | 1.23527i | 0.132763 | − | 0.0964582i | ||||
\(165\) | 0.557761 | − | 1.71661i | 0.0434216 | − | 0.133638i | ||||
\(166\) | −7.06601 | − | 5.13376i | −0.548429 | − | 0.398457i | ||||
\(167\) | 4.33386 | − | 13.3382i | 0.335364 | − | 1.03214i | −0.631179 | − | 0.775638i | \(-0.717429\pi\) |
0.966543 | − | 0.256506i | \(-0.0825715\pi\) | |||||||
\(168\) | −0.748744 | − | 2.30440i | −0.0577668 | − | 0.177788i | ||||
\(169\) | −7.48219 | + | 5.43613i | −0.575553 | + | 0.418164i | ||||
\(170\) | 1.54940 | + | 4.76856i | 0.118833 | + | 0.365732i | ||||
\(171\) | −0.100180 | − | 0.308322i | −0.00766094 | − | 0.0235780i | ||||
\(172\) | 4.36969 | − | 3.17477i | 0.333186 | − | 0.242074i | ||||
\(173\) | −4.16908 | − | 12.8311i | −0.316970 | − | 0.975532i | −0.974936 | − | 0.222485i | \(-0.928583\pi\) |
0.657967 | − | 0.753047i | \(-0.271417\pi\) | |||||||
\(174\) | −2.50698 | + | 7.71569i | −0.190054 | + | 0.584925i | ||||
\(175\) | −1.96024 | − | 1.42420i | −0.148180 | − | 0.107659i | ||||
\(176\) | 0.557761 | − | 1.71661i | 0.0420428 | − | 0.129394i | ||||
\(177\) | 5.42745 | − | 3.94328i | 0.407952 | − | 0.296395i | ||||
\(178\) | 7.37667 | − | 5.35947i | 0.552905 | − | 0.401709i | ||||
\(179\) | 0.653457 | + | 0.474764i | 0.0488417 | + | 0.0354856i | 0.611938 | − | 0.790906i | \(-0.290390\pi\) |
−0.563097 | + | 0.826391i | \(0.690390\pi\) | |||||||
\(180\) | 1.00000 | 0.0745356 | ||||||||
\(181\) | 13.7986 | 1.02564 | 0.512820 | − | 0.858496i | \(-0.328601\pi\) | ||||
0.512820 | + | 0.858496i | \(0.328601\pi\) | |||||||
\(182\) | −9.24610 | − | 6.71769i | −0.685367 | − | 0.497948i | ||||
\(183\) | −4.80598 | − | 14.7913i | −0.355268 | − | 1.09340i | ||||
\(184\) | −0.344715 | + | 1.06092i | −0.0254127 | + | 0.0782124i | ||||
\(185\) | 8.55247 | 0.628790 | ||||||||
\(186\) | 3.74736 | + | 4.11792i | 0.274770 | + | 0.301941i | ||||
\(187\) | −9.04995 | −0.661798 | ||||||||
\(188\) | −1.86006 | + | 5.72467i | −0.135659 | + | 0.417514i | ||||
\(189\) | 0.748744 | + | 2.30440i | 0.0544631 | + | 0.167620i | ||||
\(190\) | −0.262274 | − | 0.190553i | −0.0190274 | − | 0.0138242i | ||||
\(191\) | 4.61521 | 0.333945 | 0.166973 | − | 0.985962i | \(-0.446601\pi\) | ||||
0.166973 | + | 0.985962i | \(0.446601\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | −14.7913 | − | 10.7465i | −1.06470 | − | 0.773548i | −0.0897459 | − | 0.995965i | \(-0.528605\pi\) |
−0.974952 | + | 0.222417i | \(0.928605\pi\) | |||||||
\(194\) | −14.2119 | + | 10.3256i | −1.02036 | + | 0.741333i | ||||
\(195\) | 3.81600 | − | 2.77248i | 0.273269 | − | 0.198542i | ||||
\(196\) | −0.348924 | + | 1.07388i | −0.0249231 | + | 0.0767055i | ||||
\(197\) | −1.82112 | − | 1.32312i | −0.129750 | − | 0.0942685i | 0.521018 | − | 0.853546i | \(-0.325553\pi\) |
−0.650767 | + | 0.759277i | \(0.725553\pi\) | |||||||
\(198\) | −0.557761 | + | 1.71661i | −0.0396383 | + | 0.121994i | ||||
\(199\) | 2.20376 | + | 6.78247i | 0.156220 | + | 0.480796i | 0.998282 | − | 0.0585839i | \(-0.0186585\pi\) |
−0.842062 | + | 0.539380i | \(0.818659\pi\) | |||||||
\(200\) | 0.809017 | − | 0.587785i | 0.0572061 | − | 0.0415627i | ||||
\(201\) | 5.05317 | + | 15.5520i | 0.356423 | + | 1.09696i | ||||
\(202\) | 5.41532 | + | 16.6666i | 0.381021 | + | 1.17266i | ||||
\(203\) | −15.9029 | + | 11.5541i | −1.11617 | + | 0.810942i | ||||
\(204\) | −1.54940 | − | 4.76856i | −0.108480 | − | 0.333866i | ||||
\(205\) | −0.649419 | + | 1.99870i | −0.0453574 | + | 0.139596i | ||||
\(206\) | −14.2718 | − | 10.3691i | −0.994364 | − | 0.722448i | ||||
\(207\) | 0.344715 | − | 1.06092i | 0.0239594 | − | 0.0737393i | ||||
\(208\) | 3.81600 | − | 2.77248i | 0.264592 | − | 0.192237i | ||||
\(209\) | 0.473392 | − | 0.343940i | 0.0327452 | − | 0.0237908i | ||||
\(210\) | 1.96024 | + | 1.42420i | 0.135269 | + | 0.0982788i | ||||
\(211\) | −25.7779 | −1.77463 | −0.887313 | − | 0.461167i | \(-0.847431\pi\) | ||||
−0.887313 | + | 0.461167i | \(0.847431\pi\) | |||||||
\(212\) | 1.40406 | 0.0964309 | ||||||||
\(213\) | 8.91048 | + | 6.47384i | 0.610536 | + | 0.443580i | ||||
\(214\) | −1.02819 | − | 3.16444i | −0.0702857 | − | 0.216317i | ||||
\(215\) | −1.66907 | + | 5.13688i | −0.113830 | + | 0.350332i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 1.48099 | + | 13.4091i | 0.100536 | + | 0.910267i | ||||
\(218\) | −3.16496 | −0.214358 | ||||||||
\(219\) | −1.86107 | + | 5.72779i | −0.125760 | + | 0.387048i | ||||
\(220\) | 0.557761 | + | 1.71661i | 0.0376042 | + | 0.115734i | ||||
\(221\) | −19.1332 | − | 13.9011i | −1.28704 | − | 0.935090i | ||||
\(222\) | −8.55247 | −0.574004 | ||||||||
\(223\) | −4.09935 | −0.274513 | −0.137256 | − | 0.990536i | \(-0.543828\pi\) | ||||
−0.137256 | + | 0.990536i | \(0.543828\pi\) | |||||||
\(224\) | 1.96024 | + | 1.42420i | 0.130974 | + | 0.0951580i | ||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | 5.51661 | − | 4.00806i | 0.366960 | − | 0.266612i | ||||
\(227\) | −4.57067 | + | 14.0671i | −0.303366 | + | 0.933664i | 0.676916 | + | 0.736060i | \(0.263316\pi\) |
−0.980282 | + | 0.197604i | \(0.936684\pi\) | |||||||
\(228\) | 0.262274 | + | 0.190553i | 0.0173695 | + | 0.0126197i | ||||
\(229\) | −0.501543 | + | 1.54359i | −0.0331429 | + | 0.102003i | −0.966259 | − | 0.257571i | \(-0.917078\pi\) |
0.933117 | + | 0.359574i | \(0.117078\pi\) | |||||||
\(230\) | −0.344715 | − | 1.06092i | −0.0227298 | − | 0.0699553i | ||||
\(231\) | −3.53813 | + | 2.57060i | −0.232792 | + | 0.169133i | ||||
\(232\) | −2.50698 | − | 7.71569i | −0.164591 | − | 0.506560i | ||||
\(233\) | 7.62781 | + | 23.4760i | 0.499715 | + | 1.53796i | 0.809478 | + | 0.587150i | \(0.199750\pi\) |
−0.309764 | + | 0.950814i | \(0.600250\pi\) | |||||||
\(234\) | −3.81600 | + | 2.77248i | −0.249459 | + | 0.181243i | ||||
\(235\) | −1.86006 | − | 5.72467i | −0.121337 | − | 0.373436i | ||||
\(236\) | −2.07310 | + | 6.38035i | −0.134947 | + | 0.415326i | ||||
\(237\) | −3.44939 | − | 2.50613i | −0.224062 | − | 0.162790i | ||||
\(238\) | 3.75417 | − | 11.5541i | 0.243347 | − | 0.748944i | ||||
\(239\) | −4.92480 | + | 3.57807i | −0.318559 | + | 0.231446i | −0.735560 | − | 0.677459i | \(-0.763081\pi\) |
0.417002 | + | 0.908906i | \(0.363081\pi\) | |||||||
\(240\) | −0.809017 | + | 0.587785i | −0.0522218 | + | 0.0379414i | ||||
\(241\) | −4.21977 | − | 3.06584i | −0.271819 | − | 0.197488i | 0.443522 | − | 0.896263i | \(-0.353729\pi\) |
−0.715341 | + | 0.698775i | \(0.753729\pi\) | |||||||
\(242\) | 7.74215 | 0.497684 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | 12.5822 | + | 9.14151i | 0.805493 | + | 0.585225i | ||||
\(245\) | −0.348924 | − | 1.07388i | −0.0222919 | − | 0.0686074i | ||||
\(246\) | 0.649419 | − | 1.99870i | 0.0414054 | − | 0.127433i | ||||
\(247\) | 1.52914 | 0.0972971 | ||||||||
\(248\) | −5.45213 | − | 1.12883i | −0.346211 | − | 0.0716805i | ||||
\(249\) | −8.73407 | −0.553499 | ||||||||
\(250\) | −0.309017 | + | 0.951057i | −0.0195440 | + | 0.0601501i | ||||
\(251\) | −0.776676 | − | 2.39036i | −0.0490233 | − | 0.150878i | 0.923548 | − | 0.383482i | \(-0.125275\pi\) |
−0.972571 | + | 0.232604i | \(0.925275\pi\) | |||||||
\(252\) | −1.96024 | − | 1.42420i | −0.123483 | − | 0.0897159i | ||||
\(253\) | 2.01346 | 0.126585 | ||||||||
\(254\) | 11.7271 | 0.735826 | ||||||||
\(255\) | 4.05638 | + | 2.94713i | 0.254020 | + | 0.184557i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 22.5899 | − | 16.4126i | 1.40912 | − | 1.02379i | 0.415672 | − | 0.909515i | \(-0.363546\pi\) |
0.993449 | − | 0.114272i | \(-0.0364536\pi\) | |||||||
\(258\) | 1.66907 | − | 5.13688i | 0.103912 | − | 0.319808i | ||||
\(259\) | −16.7649 | − | 12.1804i | −1.04172 | − | 0.756852i | ||||
\(260\) | −1.45758 | + | 4.48597i | −0.0903953 | + | 0.278208i | ||||
\(261\) | 2.50698 | + | 7.71569i | 0.155178 | + | 0.477589i | ||||
\(262\) | 7.29944 | − | 5.30335i | 0.450961 | − | 0.327642i | ||||
\(263\) | −0.720991 | − | 2.21898i | −0.0444582 | − | 0.136828i | 0.926364 | − | 0.376631i | \(-0.122917\pi\) |
−0.970822 | + | 0.239802i | \(0.922917\pi\) | |||||||
\(264\) | −0.557761 | − | 1.71661i | −0.0343278 | − | 0.105650i | ||||
\(265\) | −1.13590 | + | 0.825283i | −0.0697781 | + | 0.0506967i | ||||
\(266\) | 0.242734 | + | 0.747059i | 0.0148830 | + | 0.0458051i | ||||
\(267\) | 2.81764 | − | 8.67180i | 0.172437 | − | 0.530705i | ||||
\(268\) | −13.2294 | − | 9.61170i | −0.808112 | − | 0.587128i | ||||
\(269\) | 5.61719 | − | 17.2879i | 0.342486 | − | 1.05406i | −0.620430 | − | 0.784262i | \(-0.713042\pi\) |
0.962916 | − | 0.269802i | \(-0.0869582\pi\) | |||||||
\(270\) | 0.809017 | − | 0.587785i | 0.0492352 | − | 0.0357715i | ||||
\(271\) | −16.1899 | + | 11.7626i | −0.983465 | + | 0.714529i | −0.958480 | − | 0.285159i | \(-0.907954\pi\) |
−0.0249846 | + | 0.999688i | \(0.507954\pi\) | |||||||
\(272\) | 4.05638 | + | 2.94713i | 0.245954 | + | 0.178696i | ||||
\(273\) | −11.4288 | −0.691703 | ||||||||
\(274\) | 3.92578 | 0.237165 | ||||||||
\(275\) | −1.46024 | − | 1.06092i | −0.0880556 | − | 0.0639761i | ||||
\(276\) | 0.344715 | + | 1.06092i | 0.0207494 | + | 0.0638601i | ||||
\(277\) | 8.75742 | − | 26.9526i | 0.526182 | − | 1.61942i | −0.235784 | − | 0.971806i | \(-0.575766\pi\) |
0.761966 | − | 0.647617i | \(-0.224234\pi\) | |||||||
\(278\) | −7.06340 | −0.423634 | ||||||||
\(279\) | 5.45213 | + | 1.12883i | 0.326411 | + | 0.0675810i | ||||
\(280\) | −2.42299 | −0.144801 | ||||||||
\(281\) | −5.80800 | + | 17.8752i | −0.346476 | + | 1.06634i | 0.614312 | + | 0.789063i | \(0.289434\pi\) |
−0.960789 | + | 0.277282i | \(0.910566\pi\) | |||||||
\(282\) | 1.86006 | + | 5.72467i | 0.110765 | + | 0.340899i | ||||
\(283\) | −9.00698 | − | 6.54395i | −0.535409 | − | 0.388998i | 0.286968 | − | 0.957940i | \(-0.407353\pi\) |
−0.822377 | + | 0.568943i | \(0.807353\pi\) | |||||||
\(284\) | −11.0140 | −0.653558 | ||||||||
\(285\) | −0.324189 | −0.0192033 | ||||||||
\(286\) | −6.88769 | − | 5.00420i | −0.407278 | − | 0.295904i | ||||
\(287\) | 4.11956 | − | 2.99304i | 0.243170 | − | 0.176673i | ||||
\(288\) | 0.809017 | − | 0.587785i | 0.0476718 | − | 0.0346356i | ||||
\(289\) | 2.51533 | − | 7.74139i | 0.147961 | − | 0.455376i | ||||
\(290\) | 6.56336 | + | 4.76856i | 0.385414 | + | 0.280019i | ||||
\(291\) | −5.42848 | + | 16.7071i | −0.318223 | + | 0.979390i | ||||
\(292\) | −1.86107 | − | 5.72779i | −0.108911 | − | 0.335193i | ||||
\(293\) | −6.04511 | + | 4.39203i | −0.353159 | + | 0.256585i | −0.750193 | − | 0.661219i | \(-0.770040\pi\) |
0.397034 | + | 0.917804i | \(0.370040\pi\) | |||||||
\(294\) | 0.348924 | + | 1.07388i | 0.0203496 | + | 0.0626297i | ||||
\(295\) | −2.07310 | − | 6.38035i | −0.120701 | − | 0.371479i | ||||
\(296\) | 6.91909 | − | 5.02701i | 0.402164 | − | 0.292189i | ||||
\(297\) | 0.557761 | + | 1.71661i | 0.0323646 | + | 0.0996079i | ||||
\(298\) | 3.72011 | − | 11.4493i | 0.215500 | − | 0.663242i | ||||
\(299\) | 4.25683 | + | 3.09277i | 0.246179 | + | 0.178859i | ||||
\(300\) | 0.309017 | − | 0.951057i | 0.0178411 | − | 0.0549093i | ||||
\(301\) | 10.5877 | − | 7.69241i | 0.610265 | − | 0.443383i | ||||
\(302\) | 3.08961 | − | 2.24473i | 0.177787 | − | 0.129170i | ||||
\(303\) | 14.1775 | + | 10.3006i | 0.814476 | + | 0.591751i | ||||
\(304\) | −0.324189 | −0.0185935 | ||||||||
\(305\) | −15.5525 | −0.890532 | ||||||||
\(306\) | −4.05638 | − | 2.94713i | −0.231888 | − | 0.168476i | ||||
\(307\) | −1.63840 | − | 5.04248i | −0.0935085 | − | 0.287789i | 0.893354 | − | 0.449354i | \(-0.148346\pi\) |
−0.986862 | + | 0.161565i | \(0.948346\pi\) | |||||||
\(308\) | 1.35145 | − | 4.15932i | 0.0770058 | − | 0.236999i | ||||
\(309\) | −17.6409 | −1.00356 | ||||||||
\(310\) | 5.07438 | − | 2.29144i | 0.288205 | − | 0.130145i | ||||
\(311\) | 23.9381 | 1.35740 | 0.678702 | − | 0.734414i | \(-0.262543\pi\) | ||||
0.678702 | + | 0.734414i | \(0.262543\pi\) | |||||||
\(312\) | 1.45758 | − | 4.48597i | 0.0825193 | − | 0.253968i | ||||
\(313\) | 1.06712 | + | 3.28426i | 0.0603172 | + | 0.185637i | 0.976675 | − | 0.214723i | \(-0.0688849\pi\) |
−0.916358 | + | 0.400360i | \(0.868885\pi\) | |||||||
\(314\) | −14.0172 | − | 10.1841i | −0.791038 | − | 0.574722i | ||||
\(315\) | 2.42299 | 0.136520 | ||||||||
\(316\) | 4.26368 | 0.239851 | ||||||||
\(317\) | 11.3941 | + | 8.27831i | 0.639957 | + | 0.464956i | 0.859835 | − | 0.510571i | \(-0.170566\pi\) |
−0.219878 | + | 0.975527i | \(0.570566\pi\) | |||||||
\(318\) | 1.13590 | − | 0.825283i | 0.0636984 | − | 0.0462796i | ||||
\(319\) | −11.8465 | + | 8.60702i | −0.663279 | + | 0.481900i | ||||
\(320\) | 0.309017 | − | 0.951057i | 0.0172746 | − | 0.0531657i | ||||
\(321\) | −2.69184 | − | 1.95573i | −0.150244 | − | 0.109158i | ||||
\(322\) | −0.835240 | + | 2.57060i | −0.0465461 | + | 0.143254i | ||||
\(323\) | 0.502297 | + | 1.54591i | 0.0279486 | + | 0.0860169i | ||||
\(324\) | −0.809017 | + | 0.587785i | −0.0449454 | + | 0.0326547i | ||||
\(325\) | −1.45758 | − | 4.48597i | −0.0808520 | − | 0.248837i | ||||
\(326\) | 1.39129 | + | 4.28194i | 0.0770563 | + | 0.237155i | ||||
\(327\) | −2.56050 | + | 1.86032i | −0.141596 | + | 0.102876i | ||||
\(328\) | 0.649419 | + | 1.99870i | 0.0358581 | + | 0.110360i | ||||
\(329\) | −4.50689 | + | 13.8708i | −0.248473 | + | 0.764721i | ||||
\(330\) | 1.46024 | + | 1.06092i | 0.0803834 | + | 0.0584019i | ||||
\(331\) | −4.50567 | + | 13.8670i | −0.247654 | + | 0.762200i | 0.747535 | + | 0.664223i | \(0.231237\pi\) |
−0.995189 | + | 0.0979777i | \(0.968763\pi\) | |||||||
\(332\) | 7.06601 | − | 5.13376i | 0.387798 | − | 0.281752i | ||||
\(333\) | −6.91909 | + | 5.02701i | −0.379164 | + | 0.275479i | ||||
\(334\) | 11.3462 | + | 8.24349i | 0.620836 | + | 0.451063i | ||||
\(335\) | 16.3524 | 0.893427 | ||||||||
\(336\) | 2.42299 | 0.132185 | ||||||||
\(337\) | 21.3796 | + | 15.5332i | 1.16462 | + | 0.846147i | 0.990355 | − | 0.138552i | \(-0.0442448\pi\) |
0.174266 | + | 0.984699i | \(0.444245\pi\) | |||||||
\(338\) | −2.85794 | − | 8.79584i | −0.155452 | − | 0.478431i | ||||
\(339\) | 2.10716 | − | 6.48517i | 0.114445 | − | 0.352226i | ||||
\(340\) | −5.01396 | −0.271920 | ||||||||
\(341\) | 1.10323 | + | 9.98881i | 0.0597433 | + | 0.540924i | ||||
\(342\) | 0.324189 | 0.0175301 | ||||||||
\(343\) | −6.08664 | + | 18.7328i | −0.328648 | + | 1.01147i | ||||
\(344\) | 1.66907 | + | 5.13688i | 0.0899904 | + | 0.276962i | ||||
\(345\) | −0.902476 | − | 0.655687i | −0.0485877 | − | 0.0353010i | ||||
\(346\) | 13.4914 | 0.725304 | ||||||||
\(347\) | 13.9275 | 0.747668 | 0.373834 | − | 0.927496i | \(-0.378043\pi\) | ||||
0.373834 | + | 0.927496i | \(0.378043\pi\) | |||||||
\(348\) | −6.56336 | − | 4.76856i | −0.351833 | − | 0.255622i | ||||
\(349\) | −10.6818 | + | 7.76080i | −0.571785 | + | 0.415426i | −0.835753 | − | 0.549105i | \(-0.814969\pi\) |
0.263968 | + | 0.964531i | \(0.414969\pi\) | |||||||
\(350\) | 1.96024 | − | 1.42420i | 0.104779 | − | 0.0761264i | ||||
\(351\) | −1.45758 | + | 4.48597i | −0.0777999 | + | 0.239444i | ||||
\(352\) | 1.46024 | + | 1.06092i | 0.0778309 | + | 0.0565474i | ||||
\(353\) | 3.78675 | − | 11.6544i | 0.201549 | − | 0.620303i | −0.798289 | − | 0.602275i | \(-0.794261\pi\) |
0.999837 | − | 0.0180281i | \(-0.00573883\pi\) | |||||||
\(354\) | 2.07310 | + | 6.38035i | 0.110184 | + | 0.339112i | ||||
\(355\) | 8.91048 | − | 6.47384i | 0.472919 | − | 0.343596i | ||||
\(356\) | 2.81764 | + | 8.67180i | 0.149335 | + | 0.459604i | ||||
\(357\) | −3.75417 | − | 11.5541i | −0.198692 | − | 0.611510i | ||||
\(358\) | −0.653457 | + | 0.474764i | −0.0345363 | + | 0.0250921i | ||||
\(359\) | 3.23374 | + | 9.95242i | 0.170670 | + | 0.525268i | 0.999409 | − | 0.0343665i | \(-0.0109414\pi\) |
−0.828739 | + | 0.559635i | \(0.810941\pi\) | |||||||
\(360\) | −0.309017 | + | 0.951057i | −0.0162866 | + | 0.0501251i | ||||
\(361\) | 15.2863 | + | 11.1061i | 0.804542 | + | 0.584534i | ||||
\(362\) | −4.26400 | + | 13.1232i | −0.224111 | + | 0.689742i | ||||
\(363\) | 6.26353 | − | 4.55072i | 0.328750 | − | 0.238851i | ||||
\(364\) | 9.24610 | − | 6.71769i | 0.484628 | − | 0.352103i | ||||
\(365\) | 4.87235 | + | 3.53997i | 0.255030 | + | 0.185290i | ||||
\(366\) | 15.5525 | 0.812940 | ||||||||
\(367\) | −30.1192 | −1.57221 | −0.786104 | − | 0.618094i | \(-0.787905\pi\) | ||||
−0.786104 | + | 0.618094i | \(0.787905\pi\) | |||||||
\(368\) | −0.902476 | − | 0.655687i | −0.0470448 | − | 0.0341801i | ||||
\(369\) | −0.649419 | − | 1.99870i | −0.0338074 | − | 0.104048i | ||||
\(370\) | −2.64286 | + | 8.13388i | −0.137396 | + | 0.422860i | ||||
\(371\) | 3.40201 | 0.176623 | ||||||||
\(372\) | −5.07438 | + | 2.29144i | −0.263094 | + | 0.118806i | ||||
\(373\) | 20.2901 | 1.05058 | 0.525290 | − | 0.850923i | \(-0.323957\pi\) | ||||
0.525290 | + | 0.850923i | \(0.323957\pi\) | |||||||
\(374\) | 2.79659 | − | 8.60702i | 0.144608 | − | 0.445058i | ||||
\(375\) | 0.309017 | + | 0.951057i | 0.0159576 | + | 0.0491123i | ||||
\(376\) | −4.86969 | − | 3.53804i | −0.251135 | − | 0.182460i | ||||
\(377\) | −38.2665 | −1.97082 | ||||||||
\(378\) | −2.42299 | −0.124625 | ||||||||
\(379\) | 13.5373 | + | 9.83542i | 0.695364 | + | 0.505212i | 0.878419 | − | 0.477891i | \(-0.158599\pi\) |
−0.183055 | + | 0.983103i | \(0.558599\pi\) | |||||||
\(380\) | 0.262274 | − | 0.190553i | 0.0134544 | − | 0.00977518i | ||||
\(381\) | 9.48745 | − | 6.89304i | 0.486057 | − | 0.353141i | ||||
\(382\) | −1.42618 | + | 4.38933i | −0.0729697 | + | 0.224578i | ||||
\(383\) | 5.96204 | + | 4.33168i | 0.304646 | + | 0.221338i | 0.729596 | − | 0.683879i | \(-0.239708\pi\) |
−0.424950 | + | 0.905217i | \(0.639708\pi\) | |||||||
\(384\) | −0.309017 | + | 0.951057i | −0.0157695 | + | 0.0485334i | ||||
\(385\) | 1.35145 | + | 4.15932i | 0.0688761 | + | 0.211979i | ||||
\(386\) | 14.7913 | − | 10.7465i | 0.752855 | − | 0.546981i | ||||
\(387\) | −1.66907 | − | 5.13688i | −0.0848438 | − | 0.261122i | ||||
\(388\) | −5.42848 | − | 16.7071i | −0.275589 | − | 0.848176i | ||||
\(389\) | 22.1971 | − | 16.1271i | 1.12544 | − | 0.817677i | 0.140411 | − | 0.990093i | \(-0.455158\pi\) |
0.985024 | + | 0.172417i | \(0.0551576\pi\) | |||||||
\(390\) | 1.45758 | + | 4.48597i | 0.0738075 | + | 0.227156i | ||||
\(391\) | −1.72839 | + | 5.31943i | −0.0874083 | + | 0.269015i | ||||
\(392\) | −0.913494 | − | 0.663692i | −0.0461384 | − | 0.0335215i | ||||
\(393\) | 2.78814 | − | 8.58101i | 0.140643 | − | 0.432855i | ||||
\(394\) | 1.82112 | − | 1.32312i | 0.0917468 | − | 0.0666579i | ||||
\(395\) | −3.44939 | + | 2.50613i | −0.173558 | + | 0.126097i | ||||
\(396\) | −1.46024 | − | 1.06092i | −0.0733796 | − | 0.0533134i | ||||
\(397\) | −9.17272 | −0.460365 | −0.230183 | − | 0.973147i | \(-0.573932\pi\) | ||||
−0.230183 | + | 0.973147i | \(0.573932\pi\) | |||||||
\(398\) | −7.13151 | −0.357470 | ||||||||
\(399\) | 0.635487 | + | 0.461708i | 0.0318141 | + | 0.0231143i | ||||
\(400\) | 0.309017 | + | 0.951057i | 0.0154508 | + | 0.0475528i | ||||
\(401\) | −5.54794 | + | 17.0748i | −0.277051 | + | 0.852676i | 0.711618 | + | 0.702566i | \(0.247963\pi\) |
−0.988669 | + | 0.150109i | \(0.952037\pi\) | |||||||
\(402\) | −16.3524 | −0.815583 | ||||||||
\(403\) | −13.0108 | + | 22.8128i | −0.648114 | + | 1.13638i | ||||
\(404\) | −17.5243 | −0.871869 | ||||||||
\(405\) | 0.309017 | − | 0.951057i | 0.0153552 | − | 0.0472584i | ||||
\(406\) | −6.07438 | − | 18.6950i | −0.301466 | − | 0.927818i | ||||
\(407\) | −12.4886 | − | 9.07352i | −0.619038 | − | 0.449758i | ||||
\(408\) | 5.01396 | 0.248228 | ||||||||
\(409\) | 32.8063 | 1.62217 | 0.811083 | − | 0.584931i | \(-0.198878\pi\) | ||||
0.811083 | + | 0.584931i | \(0.198878\pi\) | |||||||
\(410\) | −1.70020 | − | 1.23527i | −0.0839669 | − | 0.0610055i | ||||
\(411\) | 3.17603 | − | 2.30752i | 0.156662 | − | 0.113821i | ||||
\(412\) | 14.2718 | − | 10.3691i | 0.703122 | − | 0.510848i | ||||
\(413\) | −5.02310 | + | 15.4595i | −0.247170 | + | 0.760712i | ||||
\(414\) | 0.902476 | + | 0.655687i | 0.0443543 | + | 0.0322253i | ||||
\(415\) | −2.69898 | + | 8.30660i | −0.132488 | + | 0.407755i | ||||
\(416\) | 1.45758 | + | 4.48597i | 0.0714638 | + | 0.219943i | ||||
\(417\) | −5.71441 | + | 4.15176i | −0.279836 | + | 0.203313i | ||||
\(418\) | 0.180820 | + | 0.556506i | 0.00884418 | + | 0.0272196i | ||||
\(419\) | 4.58941 | + | 14.1248i | 0.224207 | + | 0.690039i | 0.998371 | + | 0.0570539i | \(0.0181707\pi\) |
−0.774164 | + | 0.632985i | \(0.781829\pi\) | |||||||
\(420\) | −1.96024 | + | 1.42420i | −0.0956498 | + | 0.0694936i | ||||
\(421\) | −2.71404 | − | 8.35295i | −0.132274 | − | 0.407098i | 0.862882 | − | 0.505406i | \(-0.168657\pi\) |
−0.995156 | + | 0.0983076i | \(0.968657\pi\) | |||||||
\(422\) | 7.96582 | − | 24.5163i | 0.387770 | − | 1.19343i | ||||
\(423\) | 4.86969 | + | 3.53804i | 0.236773 | + | 0.172025i | ||||
\(424\) | −0.433877 | + | 1.33534i | −0.0210709 | + | 0.0648497i | ||||
\(425\) | 4.05638 | − | 2.94713i | 0.196763 | − | 0.142957i | ||||
\(426\) | −8.91048 | + | 6.47384i | −0.431714 | + | 0.313659i | ||||
\(427\) | 30.4865 | + | 22.1497i | 1.47535 | + | 1.07190i | ||||
\(428\) | 3.32729 | 0.160831 | ||||||||
\(429\) | −8.51365 | −0.411043 | ||||||||
\(430\) | −4.36969 | − | 3.17477i | −0.210725 | − | 0.153101i | ||||
\(431\) | 7.34746 | + | 22.6132i | 0.353915 | + | 1.08924i | 0.956636 | + | 0.291286i | \(0.0940831\pi\) |
−0.602721 | + | 0.797952i | \(0.705917\pi\) | |||||||
\(432\) | 0.309017 | − | 0.951057i | 0.0148676 | − | 0.0457577i | ||||
\(433\) | 10.1903 | 0.489714 | 0.244857 | − | 0.969559i | \(-0.421259\pi\) | ||||
0.244857 | + | 0.969559i | \(0.421259\pi\) | |||||||
\(434\) | −13.2104 | − | 2.73513i | −0.634121 | − | 0.131290i | ||||
\(435\) | 8.11276 | 0.388977 | ||||||||
\(436\) | 0.978026 | − | 3.01005i | 0.0468389 | − | 0.144155i | ||||
\(437\) | −0.111753 | − | 0.343940i | −0.00534586 | − | 0.0164529i | ||||
\(438\) | −4.87235 | − | 3.53997i | −0.232810 | − | 0.169146i | ||||
\(439\) | 11.7134 | 0.559050 | 0.279525 | − | 0.960138i | \(-0.409823\pi\) | ||||
0.279525 | + | 0.960138i | \(0.409823\pi\) | |||||||
\(440\) | −1.80495 | −0.0860477 | ||||||||
\(441\) | 0.913494 | + | 0.663692i | 0.0434997 | + | 0.0316044i | ||||
\(442\) | 19.1332 | − | 13.9011i | 0.910076 | − | 0.661209i | ||||
\(443\) | 29.9228 | − | 21.7402i | 1.42168 | − | 1.03291i | 0.430185 | − | 0.902741i | \(-0.358448\pi\) |
0.991492 | − | 0.130168i | \(-0.0415516\pi\) | |||||||
\(444\) | 2.64286 | − | 8.13388i | 0.125424 | − | 0.386017i | ||||
\(445\) | −7.37667 | − | 5.35947i | −0.349688 | − | 0.254063i | ||||
\(446\) | 1.26677 | − | 3.89871i | 0.0599832 | − | 0.184609i | ||||
\(447\) | −3.72011 | − | 11.4493i | −0.175955 | − | 0.541535i | ||||
\(448\) | −1.96024 | + | 1.42420i | −0.0926125 | + | 0.0672869i | ||||
\(449\) | 6.03928 | + | 18.5870i | 0.285011 | + | 0.877174i | 0.986395 | + | 0.164391i | \(0.0525658\pi\) |
−0.701384 | + | 0.712784i | \(0.747434\pi\) | |||||||
\(450\) | −0.309017 | − | 0.951057i | −0.0145672 | − | 0.0448332i | ||||
\(451\) | 3.06878 | − | 2.22960i | 0.144503 | − | 0.104988i | ||||
\(452\) | 2.10716 | + | 6.48517i | 0.0991124 | + | 0.305037i | ||||
\(453\) | 1.18012 | − | 3.63205i | 0.0554471 | − | 0.170649i | ||||
\(454\) | −11.9662 | − | 8.69393i | −0.561600 | − | 0.408026i | ||||
\(455\) | −3.53170 | + | 10.8694i | −0.165569 | + | 0.509568i | ||||
\(456\) | −0.262274 | + | 0.190553i | −0.0122821 | + | 0.00892348i | ||||
\(457\) | 26.8230 | − | 19.4881i | 1.25473 | − | 0.911613i | 0.256242 | − | 0.966613i | \(-0.417516\pi\) |
0.998486 | + | 0.0549996i | \(0.0175158\pi\) | |||||||
\(458\) | −1.31306 | − | 0.953991i | −0.0613551 | − | 0.0445771i | ||||
\(459\) | −5.01396 | −0.234032 | ||||||||
\(460\) | 1.11552 | 0.0520115 | ||||||||
\(461\) | 3.43399 | + | 2.49494i | 0.159937 | + | 0.116201i | 0.664875 | − | 0.746955i | \(-0.268485\pi\) |
−0.504938 | + | 0.863155i | \(0.668485\pi\) | |||||||
\(462\) | −1.35145 | − | 4.15932i | −0.0628750 | − | 0.193509i | ||||
\(463\) | −0.925426 | + | 2.84817i | −0.0430082 | + | 0.132366i | −0.970255 | − | 0.242085i | \(-0.922169\pi\) |
0.927247 | + | 0.374451i | \(0.122169\pi\) | |||||||
\(464\) | 8.11276 | 0.376625 | ||||||||
\(465\) | 2.75838 | − | 4.83646i | 0.127917 | − | 0.224285i | ||||
\(466\) | −24.6841 | −1.14347 | ||||||||
\(467\) | −1.42206 | + | 4.37664i | −0.0658049 | + | 0.202527i | −0.978553 | − | 0.205997i | \(-0.933956\pi\) |
0.912748 | + | 0.408524i | \(0.133956\pi\) | |||||||
\(468\) | −1.45758 | − | 4.48597i | −0.0673767 | − | 0.207364i | ||||
\(469\) | −32.0546 | − | 23.2890i | −1.48014 | − | 1.07539i | ||||
\(470\) | 6.01927 | 0.277648 | ||||||||
\(471\) | −17.3262 | −0.798351 | ||||||||
\(472\) | −5.42745 | − | 3.94328i | −0.249819 | − | 0.181504i | ||||
\(473\) | 7.88708 | − | 5.73030i | 0.362648 | − | 0.263480i | ||||
\(474\) | 3.44939 | − | 2.50613i | 0.158436 | − | 0.115110i | ||||
\(475\) | −0.100180 | + | 0.308322i | −0.00459657 | + | 0.0141468i | ||||
\(476\) | 9.82855 | + | 7.14086i | 0.450491 | + | 0.327301i | ||||
\(477\) | 0.433877 | − | 1.33534i | 0.0198659 | − | 0.0611408i | ||||
\(478\) | −1.88111 | − | 5.78945i | −0.0860397 | − | 0.264803i | ||||
\(479\) | 6.58800 | − | 4.78646i | 0.301014 | − | 0.218699i | −0.427017 | − | 0.904243i | \(-0.640436\pi\) |
0.728031 | + | 0.685544i | \(0.240436\pi\) | |||||||
\(480\) | −0.309017 | − | 0.951057i | −0.0141046 | − | 0.0434096i | ||||
\(481\) | −12.4659 | − | 38.3661i | −0.568397 | − | 1.74934i | ||||
\(482\) | 4.21977 | − | 3.06584i | 0.192205 | − | 0.139645i | ||||
\(483\) | 0.835240 | + | 2.57060i | 0.0380047 | + | 0.116967i | ||||
\(484\) | −2.39246 | + | 7.36322i | −0.108748 | + | 0.334692i | ||||
\(485\) | 14.2119 | + | 10.3256i | 0.645331 | + | 0.468860i | ||||
\(486\) | −0.309017 | + | 0.951057i | −0.0140173 | + | 0.0431408i | ||||
\(487\) | 28.0537 | − | 20.3822i | 1.27124 | − | 0.923607i | 0.271984 | − | 0.962302i | \(-0.412320\pi\) |
0.999251 | + | 0.0386950i | \(0.0123201\pi\) | |||||||
\(488\) | −12.5822 | + | 9.14151i | −0.569570 | + | 0.413817i | ||||
\(489\) | 3.64244 | + | 2.64639i | 0.164717 | + | 0.119674i | ||||
\(490\) | 1.12914 | 0.0510094 | ||||||||
\(491\) | 21.1104 | 0.952698 | 0.476349 | − | 0.879256i | \(-0.341960\pi\) | ||||
0.476349 | + | 0.879256i | \(0.341960\pi\) | |||||||
\(492\) | 1.70020 | + | 1.23527i | 0.0766509 | + | 0.0556902i | ||||
\(493\) | −12.5699 | − | 38.6861i | −0.566119 | − | 1.74234i | ||||
\(494\) | −0.472531 | + | 1.45430i | −0.0212602 | + | 0.0654321i | ||||
\(495\) | 1.80495 | 0.0811265 | ||||||||
\(496\) | 2.75838 | − | 4.83646i | 0.123855 | − | 0.217163i | ||||
\(497\) | −26.6867 | −1.19706 | ||||||||
\(498\) | 2.69898 | − | 8.30660i | 0.120944 | − | 0.372227i | ||||
\(499\) | −7.66259 | − | 23.5830i | −0.343024 | − | 1.05572i | −0.962633 | − | 0.270810i | \(-0.912709\pi\) |
0.619608 | − | 0.784911i | \(-0.287291\pi\) | |||||||
\(500\) | −0.809017 | − | 0.587785i | −0.0361803 | − | 0.0262866i | ||||
\(501\) | 14.0247 | 0.626575 | ||||||||
\(502\) | 2.51338 | 0.112177 | ||||||||
\(503\) | 25.1874 | + | 18.2997i | 1.12305 | + | 0.815943i | 0.984669 | − | 0.174436i | \(-0.0558101\pi\) |
0.138381 | + | 0.990379i | \(0.455810\pi\) | |||||||
\(504\) | 1.96024 | − | 1.42420i | 0.0873159 | − | 0.0634387i | ||||
\(505\) | 14.1775 | − | 10.3006i | 0.630890 | − | 0.458369i | ||||
\(506\) | −0.622194 | + | 1.91492i | −0.0276599 | + | 0.0851284i | ||||
\(507\) | −7.48219 | − | 5.43613i | −0.332296 | − | 0.241427i | ||||
\(508\) | −3.62388 | + | 11.1532i | −0.160784 | + | 0.494842i | ||||
\(509\) | −7.38814 | − | 22.7383i | −0.327473 | − | 1.00786i | −0.970312 | − | 0.241858i | \(-0.922243\pi\) |
0.642838 | − | 0.766002i | \(-0.277757\pi\) | |||||||
\(510\) | −4.05638 | + | 2.94713i | −0.179619 | + | 0.130501i | ||||
\(511\) | −4.50935 | − | 13.8783i | −0.199482 | − | 0.613942i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | 0.262274 | − | 0.190553i | 0.0115797 | − | 0.00841313i | ||||
\(514\) | 8.62859 | + | 26.5561i | 0.380591 | + | 1.17134i | ||||
\(515\) | −5.45135 | + | 16.7775i | −0.240215 | + | 0.739306i | ||||
\(516\) | 4.36969 | + | 3.17477i | 0.192365 | + | 0.139761i | ||||
\(517\) | −3.35731 | + | 10.3327i | −0.147654 | + | 0.454434i | ||||
\(518\) | 16.7649 | − | 12.1804i | 0.736606 | − | 0.535175i | ||||
\(519\) | 10.9148 | − | 7.93007i | 0.479107 | − | 0.348091i | ||||
\(520\) | −3.81600 | − | 2.77248i | −0.167343 | − | 0.121581i | ||||
\(521\) | 28.0331 | 1.22815 | 0.614075 | − | 0.789248i | \(-0.289529\pi\) | ||||
0.614075 | + | 0.789248i | \(0.289529\pi\) | |||||||
\(522\) | −8.11276 | −0.355086 | ||||||||
\(523\) | 13.1521 | + | 9.55557i | 0.575102 | + | 0.417836i | 0.836955 | − | 0.547272i | \(-0.184334\pi\) |
−0.261853 | + | 0.965108i | \(0.584334\pi\) | |||||||
\(524\) | 2.78814 | + | 8.58101i | 0.121800 | + | 0.374863i | ||||
\(525\) | 0.748744 | − | 2.30440i | 0.0326779 | − | 0.100572i | ||||
\(526\) | 2.33318 | 0.101731 | ||||||||
\(527\) | −27.3368 | − | 5.65989i | −1.19081 | − | 0.246549i | ||||
\(528\) | 1.80495 | 0.0785504 | ||||||||
\(529\) | −6.72285 | + | 20.6908i | −0.292298 | + | 0.899601i | ||||
\(530\) | −0.433877 | − | 1.33534i | −0.0188464 | − | 0.0580033i | ||||
\(531\) | 5.42745 | + | 3.94328i | 0.235531 | + | 0.171124i | ||||
\(532\) | −0.785505 | −0.0340559 | ||||||||
\(533\) | 9.91272 | 0.429367 | ||||||||
\(534\) | 7.37667 | + | 5.35947i | 0.319220 | + | 0.231927i | ||||
\(535\) | −2.69184 | + | 1.95573i | −0.116378 | + | 0.0845538i | ||||
\(536\) | 13.2294 | − | 9.61170i | 0.571421 | − | 0.415162i | ||||
\(537\) | −0.249598 | + | 0.768185i | −0.0107710 | + | 0.0331496i | ||||
\(538\) | 14.7060 | + | 10.6845i | 0.634020 | + | 0.460643i | ||||
\(539\) | −0.629790 | + | 1.93829i | −0.0271270 | + | 0.0834883i | ||||
\(540\) | 0.309017 | + | 0.951057i | 0.0132980 | + | 0.0409270i | ||||
\(541\) | −4.25960 | + | 3.09478i | −0.183135 | + | 0.133055i | −0.675576 | − | 0.737291i | \(-0.736105\pi\) |
0.492441 | + | 0.870346i | \(0.336105\pi\) | |||||||
\(542\) | −6.18398 | − | 19.0323i | −0.265625 | − | 0.817509i | ||||
\(543\) | 4.26400 | + | 13.1232i | 0.182986 | + | 0.563172i | ||||
\(544\) | −4.05638 | + | 2.94713i | −0.173916 | + | 0.126357i | ||||
\(545\) | 0.978026 | + | 3.01005i | 0.0418940 | + | 0.128937i | ||||
\(546\) | 3.53170 | − | 10.8694i | 0.151143 | − | 0.465169i | ||||
\(547\) | 8.74771 | + | 6.35558i | 0.374025 | + | 0.271745i | 0.758878 | − | 0.651233i | \(-0.225748\pi\) |
−0.384853 | + | 0.922978i | \(0.625748\pi\) | |||||||
\(548\) | −1.21313 | + | 3.73364i | −0.0518225 | + | 0.159493i | ||||
\(549\) | 12.5822 | − | 9.14151i | 0.536996 | − | 0.390150i | ||||
\(550\) | 1.46024 | − | 1.06092i | 0.0622647 | − | 0.0452380i | ||||
\(551\) | 2.12777 | + | 1.54591i | 0.0906459 | + | 0.0658581i | ||||
\(552\) | −1.11552 | −0.0474797 | ||||||||
\(553\) | 10.3308 | 0.439312 | ||||||||
\(554\) | 22.9272 | + | 16.6576i | 0.974084 | + | 0.707714i | ||||
\(555\) | 2.64286 | + | 8.13388i | 0.112183 | + | 0.345264i | ||||
\(556\) | 2.18271 | − | 6.71769i | 0.0925675 | − | 0.284893i | ||||
\(557\) | 15.2354 | 0.645543 | 0.322771 | − | 0.946477i | \(-0.395385\pi\) | ||||
0.322771 | + | 0.946477i | \(0.395385\pi\) | |||||||
\(558\) | −2.75838 | + | 4.83646i | −0.116771 | + | 0.204744i | ||||
\(559\) | 25.4767 | 1.07755 | ||||||||
\(560\) | 0.748744 | − | 2.30440i | 0.0316402 | − | 0.0973785i | ||||
\(561\) | −2.79659 | − | 8.60702i | −0.118072 | − | 0.363389i | ||||
\(562\) | −15.2055 | − | 11.0475i | −0.641407 | − | 0.466010i | ||||
\(563\) | 6.07239 | 0.255921 | 0.127960 | − | 0.991779i | \(-0.459157\pi\) | ||||
0.127960 | + | 0.991779i | \(0.459157\pi\) | |||||||
\(564\) | −6.01927 | −0.253457 | ||||||||
\(565\) | −5.51661 | − | 4.00806i | −0.232086 | − | 0.168620i | ||||
\(566\) | 9.00698 | − | 6.54395i | 0.378592 | − | 0.275063i | ||||
\(567\) | −1.96024 | + | 1.42420i | −0.0823222 | + | 0.0598106i | ||||
\(568\) | 3.40350 | − | 10.4749i | 0.142808 | − | 0.439517i | ||||
\(569\) | −19.7611 | − | 14.3573i | −0.828429 | − | 0.601889i | 0.0906852 | − | 0.995880i | \(-0.471094\pi\) |
−0.919115 | + | 0.393990i | \(0.871094\pi\) | |||||||
\(570\) | 0.100180 | − | 0.308322i | 0.00419607 | − | 0.0129142i | ||||
\(571\) | 5.41561 | + | 16.6675i | 0.226636 | + | 0.697515i | 0.998121 | + | 0.0612673i | \(0.0195142\pi\) |
−0.771485 | + | 0.636247i | \(0.780486\pi\) | |||||||
\(572\) | 6.88769 | − | 5.00420i | 0.287989 | − | 0.209236i | ||||
\(573\) | 1.42618 | + | 4.38933i | 0.0595795 | + | 0.183367i | ||||
\(574\) | 1.57353 | + | 4.84283i | 0.0656780 | + | 0.202136i | ||||
\(575\) | −0.902476 | + | 0.655687i | −0.0376358 | + | 0.0273440i | ||||
\(576\) | 0.309017 | + | 0.951057i | 0.0128757 | + | 0.0396274i | ||||
\(577\) | −10.4038 | + | 32.0197i | −0.433117 | + | 1.33300i | 0.461886 | + | 0.886939i | \(0.347173\pi\) |
−0.895004 | + | 0.446059i | \(0.852827\pi\) | |||||||
\(578\) | 6.58522 | + | 4.78444i | 0.273909 | + | 0.199007i | ||||
\(579\) | 5.64976 | − | 17.3882i | 0.234796 | − | 0.722627i | ||||
\(580\) | −6.56336 | + | 4.76856i | −0.272529 | + | 0.198004i | ||||
\(581\) | 17.1208 | − | 12.4390i | 0.710292 | − | 0.516058i | ||||
\(582\) | −14.2119 | − | 10.3256i | −0.589104 | − | 0.428009i | ||||
\(583\) | 2.53425 | 0.104958 | ||||||||
\(584\) | 6.02255 | 0.249215 | ||||||||
\(585\) | 3.81600 | + | 2.77248i | 0.157772 | + | 0.114628i | ||||
\(586\) | −2.30903 | − | 7.10646i | −0.0953850 | − | 0.293565i | ||||
\(587\) | 2.86701 | − | 8.82375i | 0.118334 | − | 0.364195i | −0.874294 | − | 0.485397i | \(-0.838675\pi\) |
0.992628 | + | 0.121202i | \(0.0386750\pi\) | |||||||
\(588\) | −1.12914 | −0.0465650 | ||||||||
\(589\) | 1.64506 | − | 0.742860i | 0.0677833 | − | 0.0306090i | ||||
\(590\) | 6.70870 | 0.276193 | ||||||||
\(591\) | 0.695606 | − | 2.14086i | 0.0286134 | − | 0.0880631i | ||||
\(592\) | 2.64286 | + | 8.13388i | 0.108621 | + | 0.334300i | ||||
\(593\) | −3.35825 | − | 2.43991i | −0.137907 | − | 0.100195i | 0.516693 | − | 0.856171i | \(-0.327163\pi\) |
−0.654600 | + | 0.755976i | \(0.727163\pi\) | |||||||
\(594\) | −1.80495 | −0.0740581 | ||||||||
\(595\) | −12.1488 | −0.498050 | ||||||||
\(596\) | 9.73938 | + | 7.07608i | 0.398941 | + | 0.289847i | ||||
\(597\) | −5.76951 | + | 4.19180i | −0.236130 | + | 0.171559i | ||||
\(598\) | −4.25683 | + | 3.09277i | −0.174075 | + | 0.126473i | ||||
\(599\) | 8.65424 | − | 26.6350i | 0.353603 | − | 1.08828i | −0.603213 | − | 0.797580i | \(-0.706113\pi\) |
0.956815 | − | 0.290697i | \(-0.0938870\pi\) | |||||||
\(600\) | 0.809017 | + | 0.587785i | 0.0330280 | + | 0.0239962i | ||||
\(601\) | 6.74578 | − | 20.7614i | 0.275166 | − | 0.846874i | −0.714009 | − | 0.700136i | \(-0.753123\pi\) |
0.989175 | − | 0.146738i | \(-0.0468774\pi\) | |||||||
\(602\) | 4.04414 | + | 12.4466i | 0.164827 | + | 0.507285i | ||||
\(603\) | −13.2294 | + | 9.61170i | −0.538741 | + | 0.391418i | ||||
\(604\) | 1.18012 | + | 3.63205i | 0.0480186 | + | 0.147786i | ||||
\(605\) | −2.39246 | − | 7.36322i | −0.0972672 | − | 0.299358i | ||||
\(606\) | −14.1775 | + | 10.3006i | −0.575921 | + | 0.418431i | ||||
\(607\) | 0.844896 | + | 2.60032i | 0.0342933 | + | 0.105544i | 0.966738 | − | 0.255769i | \(-0.0823286\pi\) |
−0.932445 | + | 0.361313i | \(0.882329\pi\) | |||||||
\(608\) | 0.100180 | − | 0.308322i | 0.00406283 | − | 0.0125041i | ||||
\(609\) | −15.9029 | − | 11.5541i | −0.644419 | − | 0.468198i | ||||
\(610\) | 4.80598 | − | 14.7913i | 0.194588 | − | 0.598881i | ||||
\(611\) | −22.9695 | + | 16.6883i | −0.929247 | + | 0.675138i | ||||
\(612\) | 4.05638 | − | 2.94713i | 0.163969 | − | 0.119131i | ||||
\(613\) | −23.5616 | − | 17.1185i | −0.951645 | − | 0.691410i | −0.000449259 | − | 1.00000i | \(-0.500143\pi\) |
−0.951195 | + | 0.308590i | \(0.900143\pi\) | |||||||
\(614\) | 5.30198 | 0.213970 | ||||||||
\(615\) | −2.10156 | −0.0847432 | ||||||||
\(616\) | 3.53813 | + | 2.57060i | 0.142555 | + | 0.103573i | ||||
\(617\) | 2.54647 | + | 7.83723i | 0.102517 | + | 0.315515i | 0.989140 | − | 0.146978i | \(-0.0469548\pi\) |
−0.886623 | + | 0.462494i | \(0.846955\pi\) | |||||||
\(618\) | 5.45135 | − | 16.7775i | 0.219285 | − | 0.674891i | ||||
\(619\) | −41.0774 | −1.65104 | −0.825520 | − | 0.564373i | \(-0.809118\pi\) | ||||
−0.825520 | + | 0.564373i | \(0.809118\pi\) | |||||||
\(620\) | 0.611225 | + | 5.53411i | 0.0245474 | + | 0.222255i | ||||
\(621\) | 1.11552 | 0.0447643 | ||||||||
\(622\) | −7.39728 | + | 22.7665i | −0.296604 | + | 0.912852i | ||||
\(623\) | 6.82710 | + | 21.0116i | 0.273522 | + | 0.841814i | ||||
\(624\) | 3.81600 | + | 2.77248i | 0.152762 | + | 0.110988i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −3.45328 | −0.138021 | ||||||||
\(627\) | 0.473392 | + | 0.343940i | 0.0189055 | + | 0.0137356i | ||||
\(628\) | 14.0172 | − | 10.1841i | 0.559348 | − | 0.406390i | ||||
\(629\) | 34.6920 | − | 25.2052i | 1.38326 | − | 1.00500i | ||||
\(630\) | −0.748744 | + | 2.30440i | −0.0298307 | + | 0.0918093i | ||||
\(631\) | 17.3436 | + | 12.6009i | 0.690438 | + | 0.501633i | 0.876804 | − | 0.480848i | \(-0.159671\pi\) |
−0.186366 | + | 0.982480i | \(0.559671\pi\) | |||||||
\(632\) | −1.31755 | + | 4.05500i | −0.0524093 | + | 0.161299i | ||||
\(633\) | −7.96582 | − | 24.5163i | −0.316613 | − | 0.974435i | ||||
\(634\) | −11.3941 | + | 8.27831i | −0.452518 | + | 0.328774i | ||||
\(635\) | −3.62388 | − | 11.1532i | −0.143809 | − | 0.442600i | ||||
\(636\) | 0.433877 | + | 1.33534i | 0.0172043 | + | 0.0529495i | ||||
\(637\) | −4.30880 | + | 3.13052i | −0.170721 | + | 0.124036i | ||||
\(638\) | −4.52498 | − | 13.9264i | −0.179146 | − | 0.551353i | ||||
\(639\) | −3.40350 | + | 10.4749i | −0.134640 | + | 0.414381i | ||||
\(640\) | 0.809017 | + | 0.587785i | 0.0319792 | + | 0.0232343i | ||||
\(641\) | 7.95563 | − | 24.4849i | 0.314228 | − | 0.967095i | −0.661843 | − | 0.749643i | \(-0.730225\pi\) |
0.976071 | − | 0.217453i | \(-0.0697747\pi\) | |||||||
\(642\) | 2.69184 | − | 1.95573i | 0.106238 | − | 0.0771867i | ||||
\(643\) | −10.3053 | + | 7.48725i | −0.406402 | + | 0.295268i | −0.772144 | − | 0.635448i | \(-0.780815\pi\) |
0.365742 | + | 0.930716i | \(0.380815\pi\) | |||||||
\(644\) | −2.18669 | − | 1.58872i | −0.0861675 | − | 0.0626044i | ||||
\(645\) | −5.40124 | −0.212673 | ||||||||
\(646\) | −1.62547 | −0.0639532 | ||||||||
\(647\) | 36.9577 | + | 26.8513i | 1.45296 | + | 1.05563i | 0.985129 | + | 0.171814i | \(0.0549628\pi\) |
0.467826 | + | 0.883820i | \(0.345037\pi\) | |||||||
\(648\) | −0.309017 | − | 0.951057i | −0.0121393 | − | 0.0373610i | ||||
\(649\) | −3.74185 | + | 11.5162i | −0.146880 | + | 0.452052i | ||||
\(650\) | 4.71683 | 0.185009 | ||||||||
\(651\) | −12.2951 | + | 5.55214i | −0.481884 | + | 0.217605i | ||||
\(652\) | −4.50230 | −0.176324 | ||||||||
\(653\) | −14.9951 | + | 46.1503i | −0.586805 | + | 1.80600i | 0.00509251 | + | 0.999987i | \(0.498379\pi\) |
−0.591898 | + | 0.806013i | \(0.701621\pi\) | |||||||
\(654\) | −0.978026 | − | 3.01005i | −0.0382438 | − | 0.117702i | ||||
\(655\) | −7.29944 | − | 5.30335i | −0.285213 | − | 0.207219i | ||||
\(656\) | −2.10156 | −0.0820522 | ||||||||
\(657\) | −6.02255 | −0.234962 | ||||||||
\(658\) | −11.7992 | − | 8.57262i | −0.459980 | − | 0.334195i | ||||
\(659\) | −2.98330 | + | 2.16749i | −0.116213 | + | 0.0844335i | −0.644374 | − | 0.764711i | \(-0.722882\pi\) |
0.528161 | + | 0.849144i | \(0.322882\pi\) | |||||||
\(660\) | −1.46024 | + | 1.06092i | −0.0568396 | + | 0.0412964i | ||||
\(661\) | −6.82942 | + | 21.0188i | −0.265634 | + | 0.817537i | 0.725913 | + | 0.687787i | \(0.241417\pi\) |
−0.991547 | + | 0.129750i | \(0.958583\pi\) | |||||||
\(662\) | −11.7960 | − | 8.57029i | −0.458464 | − | 0.333094i | ||||
\(663\) | 7.30825 | − | 22.4925i | 0.283829 | − | 0.873536i | ||||
\(664\) | 2.69898 | + | 8.30660i | 0.104741 | + | 0.322358i | ||||
\(665\) | 0.635487 | − | 0.461708i | 0.0246431 | − | 0.0179043i | ||||
\(666\) | −2.64286 | − | 8.13388i | −0.102409 | − | 0.315181i | ||||
\(667\) | 2.79659 | + | 8.60702i | 0.108284 | + | 0.333265i | ||||
\(668\) | −11.3462 | + | 8.24349i | −0.438997 | + | 0.318950i | ||||
\(669\) | −1.26677 | − | 3.89871i | −0.0489761 | − | 0.150733i | ||||
\(670\) | −5.05317 | + | 15.5520i | −0.195221 | + | 0.600828i | ||||
\(671\) | 22.7103 | + | 16.5000i | 0.876721 | + | 0.636975i | ||||
\(672\) | −0.748744 | + | 2.30440i | −0.0288834 | + | 0.0888940i | ||||
\(673\) | −20.2474 | + | 14.7106i | −0.780480 | + | 0.567052i | −0.905123 | − | 0.425149i | \(-0.860222\pi\) |
0.124643 | + | 0.992202i | \(0.460222\pi\) | |||||||
\(674\) | −21.3796 | + | 15.5332i | −0.823512 | + | 0.598316i | ||||
\(675\) | −0.809017 | − | 0.587785i | −0.0311391 | − | 0.0226239i | ||||
\(676\) | 9.24849 | 0.355711 | ||||||||
\(677\) | 8.10371 | 0.311451 | 0.155726 | − | 0.987800i | \(-0.450228\pi\) | ||||
0.155726 | + | 0.987800i | \(0.450228\pi\) | |||||||
\(678\) | 5.51661 | + | 4.00806i | 0.211864 | + | 0.153928i | ||||
\(679\) | −13.1531 | − | 40.4811i | −0.504771 | − | 1.55352i | ||||
\(680\) | 1.54940 | − | 4.76856i | 0.0594167 | − | 0.182866i | ||||
\(681\) | −14.7910 | −0.566792 | ||||||||
\(682\) | −9.84084 | − | 2.03748i | −0.376825 | − | 0.0780190i | ||||
\(683\) | −30.4097 | −1.16359 | −0.581797 | − | 0.813334i | \(-0.697650\pi\) | ||||
−0.581797 | + | 0.813334i | \(0.697650\pi\) | |||||||
\(684\) | −0.100180 | + | 0.308322i | −0.00383047 | + | 0.0117890i | ||||
\(685\) | −1.21313 | − | 3.73364i | −0.0463515 | − | 0.142655i | ||||
\(686\) | −15.9350 | − | 11.5775i | −0.608403 | − | 0.442030i | ||||
\(687\) | −1.62303 | −0.0619223 | ||||||||
\(688\) | −5.40124 | −0.205920 | ||||||||
\(689\) | 5.35787 | + | 3.89272i | 0.204119 | + | 0.148301i | ||||
\(690\) | 0.902476 | − | 0.655687i | 0.0343567 | − | 0.0249616i | ||||
\(691\) | −19.9287 | + | 14.4790i | −0.758122 | + | 0.550808i | −0.898334 | − | 0.439314i | \(-0.855222\pi\) |
0.140212 | + | 0.990122i | \(0.455222\pi\) | |||||||
\(692\) | −4.16908 | + | 12.8311i | −0.158485 | + | 0.487766i | ||||
\(693\) | −3.53813 | − | 2.57060i | −0.134403 | − | 0.0976492i | ||||
\(694\) | −4.30384 | + | 13.2459i | −0.163371 | + | 0.502806i | ||||
\(695\) | 2.18271 | + | 6.71769i | 0.0827949 | + | 0.254816i | ||||
\(696\) | 6.56336 | − | 4.76856i | 0.248783 | − | 0.180752i | ||||
\(697\) | 3.25616 | + | 10.0214i | 0.123336 | + | 0.379588i | ||||
\(698\) | −4.08009 | − | 12.5572i | −0.154434 | − | 0.475298i | ||||
\(699\) | −19.9699 | + | 14.5090i | −0.755330 | + | 0.548779i | ||||
\(700\) | 0.748744 | + | 2.30440i | 0.0282999 | + | 0.0870980i | ||||
\(701\) | 8.26991 | − | 25.4522i | 0.312350 | − | 0.961315i | −0.664481 | − | 0.747305i | \(-0.731347\pi\) |
0.976831 | − | 0.214010i | \(-0.0686526\pi\) | |||||||
\(702\) | −3.81600 | − | 2.77248i | −0.144026 | − | 0.104641i | ||||
\(703\) | −0.856784 | + | 2.63691i | −0.0323142 | + | 0.0994530i | ||||
\(704\) | −1.46024 | + | 1.06092i | −0.0550347 | + | 0.0399851i | ||||
\(705\) | 4.86969 | − | 3.53804i | 0.183403 | − | 0.133250i | ||||
\(706\) | 9.91385 | + | 7.20284i | 0.373113 | + | 0.271082i | ||||
\(707\) | −42.4612 | −1.59692 | ||||||||
\(708\) | −6.70870 | −0.252128 | ||||||||
\(709\) | 23.6152 | + | 17.1574i | 0.886886 | + | 0.644361i | 0.935064 | − | 0.354478i | \(-0.115341\pi\) |
−0.0481779 | + | 0.998839i | \(0.515341\pi\) | |||||||
\(710\) | 3.40350 | + | 10.4749i | 0.127731 | + | 0.393116i | ||||
\(711\) | 1.31755 | − | 4.05500i | 0.0494120 | − | 0.152074i | ||||
\(712\) | −9.11807 | −0.341714 | ||||||||
\(713\) | 6.08197 | + | 1.25923i | 0.227772 | + | 0.0471585i | ||||
\(714\) | 12.1488 | 0.454656 | ||||||||
\(715\) | −2.63086 | + | 8.09696i | −0.0983887 | + | 0.302809i | ||||
\(716\) | −0.249598 | − | 0.768185i | −0.00932793 | − | 0.0287084i | ||||
\(717\) | −4.92480 | − | 3.57807i | −0.183920 | − | 0.133626i | ||||
\(718\) | −10.4646 | −0.390535 | ||||||||
\(719\) | 24.5029 | 0.913804 | 0.456902 | − | 0.889517i | \(-0.348959\pi\) | ||||
0.456902 | + | 0.889517i | \(0.348959\pi\) | |||||||
\(720\) | −0.809017 | − | 0.587785i | −0.0301503 | − | 0.0219055i | ||||
\(721\) | 34.5804 | − | 25.1241i | 1.28784 | − | 0.935671i | ||||
\(722\) | −15.2863 | + | 11.1061i | −0.568897 | + | 0.413328i | ||||
\(723\) | 1.61181 | − | 4.96064i | 0.0599438 | − | 0.184488i | ||||
\(724\) | −11.1633 | − | 8.11060i | −0.414880 | − | 0.301428i | ||||
\(725\) | 2.50698 | − | 7.71569i | 0.0931069 | − | 0.286554i | ||||
\(726\) | 2.39246 | + | 7.36322i | 0.0887924 | + | 0.273275i | ||||
\(727\) | −19.2013 | + | 13.9505i | −0.712136 | + | 0.517397i | −0.883862 | − | 0.467748i | \(-0.845066\pi\) |
0.171726 | + | 0.985145i | \(0.445066\pi\) | |||||||
\(728\) | 3.53170 | + | 10.8694i | 0.130893 | + | 0.402849i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −4.87235 | + | 3.53997i | −0.180334 | + | 0.131020i | ||||
\(731\) | 8.36867 | + | 25.7561i | 0.309526 | + | 0.952624i | ||||
\(732\) | −4.80598 | + | 14.7913i | −0.177634 | + | 0.546701i | ||||
\(733\) | 10.1816 | + | 7.39739i | 0.376067 | + | 0.273229i | 0.759722 | − | 0.650248i | \(-0.225335\pi\) |
−0.383655 | + | 0.923476i | \(0.625335\pi\) | |||||||
\(734\) | 9.30734 | − | 28.6450i | 0.343540 | − | 1.05731i | ||||
\(735\) | 0.913494 | − | 0.663692i | 0.0336947 | − | 0.0244807i | ||||
\(736\) | 0.902476 | − | 0.655687i | 0.0332657 | − | 0.0241689i | ||||
\(737\) | −23.8784 | − | 17.3486i | −0.879571 | − | 0.639046i | ||||
\(738\) | 2.10156 | 0.0773596 | ||||||||
\(739\) | −29.7735 | −1.09524 | −0.547618 | − | 0.836728i | \(-0.684465\pi\) | ||||
−0.547618 | + | 0.836728i | \(0.684465\pi\) | |||||||
\(740\) | −6.91909 | − | 5.02701i | −0.254351 | − | 0.184797i | ||||
\(741\) | 0.472531 | + | 1.45430i | 0.0173589 | + | 0.0534251i | ||||
\(742\) | −1.05128 | + | 3.23550i | −0.0385936 | + | 0.118779i | ||||
\(743\) | 1.68416 | 0.0617859 | 0.0308930 | − | 0.999523i | \(-0.490165\pi\) | ||||
0.0308930 | + | 0.999523i | \(0.490165\pi\) | |||||||
\(744\) | −0.611225 | − | 5.53411i | −0.0224086 | − | 0.202890i | ||||
\(745\) | −12.0385 | −0.441058 | ||||||||
\(746\) | −6.26998 | + | 19.2970i | −0.229560 | + | 0.706514i | ||||
\(747\) | −2.69898 | − | 8.30660i | −0.0987504 | − | 0.303922i | ||||
\(748\) | 7.32157 | + | 5.31943i | 0.267703 | + | 0.194498i | ||||
\(749\) | 8.06199 | 0.294579 | ||||||||
\(750\) | −1.00000 | −0.0365148 | ||||||||
\(751\) | −11.4137 | − | 8.29254i | −0.416492 | − | 0.302599i | 0.359733 | − | 0.933055i | \(-0.382868\pi\) |
−0.776225 | + | 0.630456i | \(0.782868\pi\) | |||||||
\(752\) | 4.86969 | − | 3.53804i | 0.177579 | − | 0.129019i | ||||
\(753\) | 2.03336 | − | 1.47733i | 0.0740999 | − | 0.0538367i | ||||
\(754\) | 11.8250 | − | 36.3936i | 0.430641 | − | 1.32538i | ||||
\(755\) | −3.08961 | − | 2.24473i | −0.112442 | − | 0.0816941i | ||||
\(756\) | 0.748744 | − | 2.30440i | 0.0272315 | − | 0.0838101i | ||||
\(757\) | −0.493620 | − | 1.51921i | −0.0179409 | − | 0.0552165i | 0.941685 | − | 0.336495i | \(-0.109242\pi\) |
−0.959626 | + | 0.281279i | \(0.909242\pi\) | |||||||
\(758\) | −13.5373 | + | 9.83542i | −0.491697 | + | 0.357239i | ||||
\(759\) | 0.622194 | + | 1.91492i | 0.0225842 | + | 0.0695071i | ||||
\(760\) | 0.100180 | + | 0.308322i | 0.00363390 | + | 0.0111840i | ||||
\(761\) | −19.5514 | + | 14.2049i | −0.708738 | + | 0.514928i | −0.882766 | − | 0.469812i | \(-0.844322\pi\) |
0.174028 | + | 0.984741i | \(0.444322\pi\) | |||||||
\(762\) | 3.62388 | + | 11.1532i | 0.131279 | + | 0.404037i | ||||
\(763\) | 2.36974 | − | 7.29332i | 0.0857904 | − | 0.264036i | ||||
\(764\) | −3.73379 | − | 2.71276i | −0.135084 | − | 0.0981440i | ||||
\(765\) | −1.54940 | + | 4.76856i | −0.0560186 | + | 0.172408i | ||||
\(766\) | −5.96204 | + | 4.33168i | −0.215417 | + | 0.156510i | ||||
\(767\) | −25.6004 | + | 18.5998i | −0.924376 | + | 0.671598i | ||||
\(768\) | −0.809017 | − | 0.587785i | −0.0291929 | − | 0.0212099i | ||||
\(769\) | 7.98207 | 0.287841 | 0.143920 | − | 0.989589i | \(-0.454029\pi\) | ||||
0.143920 | + | 0.989589i | \(0.454029\pi\) | |||||||
\(770\) | −4.37337 | −0.157605 | ||||||||
\(771\) | 22.5899 | + | 16.4126i | 0.813557 | + | 0.591084i | ||||
\(772\) | 5.64976 | + | 17.3882i | 0.203339 | + | 0.625814i | ||||
\(773\) | −2.81150 | + | 8.65290i | −0.101123 | + | 0.311223i | −0.988801 | − | 0.149241i | \(-0.952317\pi\) |
0.887678 | + | 0.460464i | \(0.152317\pi\) | |||||||
\(774\) | 5.40124 | 0.194143 | ||||||||
\(775\) | −3.74736 | − | 4.11792i | −0.134609 | − | 0.147920i | ||||
\(776\) | 17.5669 | 0.630616 | ||||||||
\(777\) | 6.40361 | − | 19.7083i | 0.229728 | − | 0.707030i | ||||
\(778\) | 8.47852 | + | 26.0942i | 0.303970 | + | 0.935522i | ||||
\(779\) | −0.551186 | − | 0.400460i | −0.0197483 | − | 0.0143480i | ||||
\(780\) | −4.71683 | −0.168890 | ||||||||
\(781\) | −19.8797 | −0.711350 | ||||||||
\(782\) | −4.52498 | − | 3.28759i | −0.161813 | − | 0.117564i | ||||
\(783\) | −6.56336 | + | 4.76856i | −0.234555 | + | 0.170414i | ||||
\(784\) | 0.913494 | − | 0.663692i | 0.0326248 | − | 0.0237033i | ||||
\(785\) | −5.35410 | + | 16.4782i | −0.191096 | + | 0.588133i | ||||
\(786\) | 7.29944 | + | 5.30335i | 0.260362 | + | 0.189164i | ||||
\(787\) | 4.85077 | − | 14.9291i | 0.172911 | − | 0.532166i | −0.826621 | − | 0.562759i | \(-0.809740\pi\) |
0.999532 | + | 0.0305936i | \(0.00973976\pi\) | |||||||
\(788\) | 0.695606 | + | 2.14086i | 0.0247800 | + | 0.0762648i | ||||
\(789\) | 1.88758 | − | 1.37141i | 0.0671996 | − | 0.0488234i | ||||
\(790\) | −1.31755 | − | 4.05500i | −0.0468763 | − | 0.144270i | ||||
\(791\) | 5.10562 | + | 15.7135i | 0.181535 | + | 0.558707i | ||||
\(792\) | 1.46024 | − | 1.06092i | 0.0518872 | − | 0.0376983i | ||||
\(793\) | 22.6690 | + | 69.7679i | 0.804999 | + | 2.47753i | ||||
\(794\) | 2.83452 | − | 8.72377i | 0.100594 | − | 0.309595i | ||||
\(795\) | −1.13590 | − | 0.825283i | −0.0402864 | − | 0.0292698i | ||||
\(796\) | 2.20376 | − | 6.78247i | 0.0781101 | − | 0.240398i | ||||
\(797\) | −22.3483 | + | 16.2370i | −0.791617 | + | 0.575143i | −0.908443 | − | 0.418009i | \(-0.862728\pi\) |
0.116826 | + | 0.993152i | \(0.462728\pi\) | |||||||
\(798\) | −0.635487 | + | 0.461708i | −0.0224960 | + | 0.0163443i | ||||
\(799\) | −24.4164 | − | 17.7396i | −0.863791 | − | 0.627581i | ||||
\(800\) | −1.00000 | −0.0353553 | ||||||||
\(801\) | 9.11807 | 0.322171 | ||||||||
\(802\) | −14.5247 | − | 10.5528i | −0.512885 | − | 0.372633i | ||||
\(803\) | −3.35914 | − | 10.3384i | −0.118542 | − | 0.364834i | ||||
\(804\) | 5.05317 | − | 15.5520i | 0.178211 | − | 0.548479i | ||||
\(805\) | 2.70289 | 0.0952644 | ||||||||
\(806\) | −17.6757 | − | 19.4235i | −0.622599 | − | 0.684165i | ||||
\(807\) | 18.1776 | 0.639882 | ||||||||
\(808\) | 5.41532 | − | 16.6666i | 0.190510 | − | 0.586331i | ||||
\(809\) | −13.2674 | − | 40.8328i | −0.466456 | − | 1.43560i | −0.857142 | − | 0.515080i | \(-0.827762\pi\) |
0.390686 | − | 0.920524i | \(-0.372238\pi\) | |||||||
\(810\) | 0.809017 | + | 0.587785i | 0.0284260 | + | 0.0206527i | ||||
\(811\) | −53.0390 | −1.86245 | −0.931226 | − | 0.364442i | \(-0.881260\pi\) | ||||
−0.931226 | + | 0.364442i | \(0.881260\pi\) | |||||||
\(812\) | 19.6571 | 0.689829 | ||||||||
\(813\) | −16.1899 | − | 11.7626i | −0.567804 | − | 0.412534i | ||||
\(814\) | 12.4886 | − | 9.07352i | 0.437726 | − | 0.318027i | ||||
\(815\) | 3.64244 | − | 2.64639i | 0.127589 | − | 0.0926989i | ||||
\(816\) | −1.54940 | + | 4.76856i | −0.0542398 | + | 0.166933i | ||||
\(817\) | −1.41660 | − | 1.02922i | −0.0495607 | − | 0.0360080i | ||||
\(818\) | −10.1377 | + | 31.2006i | −0.354456 | + | 1.09090i | ||||
\(819\) | −3.53170 | − | 10.8694i | −0.123408 | − | 0.379809i | ||||
\(820\) | 1.70020 | − | 1.23527i | 0.0593736 | − | 0.0431374i | ||||
\(821\) | 2.39687 | + | 7.37680i | 0.0836513 | + | 0.257452i | 0.984130 | − | 0.177447i | \(-0.0567839\pi\) |
−0.900479 | + | 0.434899i | \(0.856784\pi\) | |||||||
\(822\) | 1.21313 | + | 3.73364i | 0.0423129 | + | 0.130226i | ||||
\(823\) | 42.3576 | − | 30.7746i | 1.47649 | − | 1.07273i | 0.497826 | − | 0.867277i | \(-0.334132\pi\) |
0.978666 | − | 0.205458i | \(-0.0658683\pi\) | |||||||
\(824\) | 5.45135 | + | 16.7775i | 0.189907 | + | 0.584473i | ||||
\(825\) | 0.557761 | − | 1.71661i | 0.0194187 | − | 0.0597647i | ||||
\(826\) | −13.1506 | − | 9.55450i | −0.457569 | − | 0.332444i | ||||
\(827\) | 0.408959 | − | 1.25865i | 0.0142209 | − | 0.0437674i | −0.943694 | − | 0.330819i | \(-0.892675\pi\) |
0.957915 | + | 0.287051i | \(0.0926751\pi\) | |||||||
\(828\) | −0.902476 | + | 0.655687i | −0.0313632 | + | 0.0227867i | ||||
\(829\) | 15.6629 | − | 11.3798i | 0.543996 | − | 0.395236i | −0.281571 | − | 0.959540i | \(-0.590856\pi\) |
0.825567 | + | 0.564304i | \(0.190856\pi\) | |||||||
\(830\) | −7.06601 | − | 5.13376i | −0.245265 | − | 0.178195i | ||||
\(831\) | 28.3396 | 0.983090 | ||||||||
\(832\) | −4.71683 | −0.163527 | ||||||||
\(833\) | −4.58022 | − | 3.32772i | −0.158695 | − | 0.115299i | ||||
\(834\) | −2.18271 | − | 6.71769i | −0.0755810 | − | 0.232615i | ||||
\(835\) | 4.33386 | − | 13.3382i | 0.149979 | − | 0.461589i | ||||
\(836\) | −0.585145 | −0.0202377 | ||||||||
\(837\) | 0.611225 | + | 5.53411i | 0.0211270 | + | 0.191287i | ||||
\(838\) | −14.8516 | −0.513041 | ||||||||
\(839\) | 10.5086 | − | 32.3423i | 0.362799 | − | 1.11658i | −0.588549 | − | 0.808461i | \(-0.700301\pi\) |
0.951348 | − | 0.308118i | \(-0.0996993\pi\) | |||||||
\(840\) | −0.748744 | − | 2.30440i | −0.0258341 | − | 0.0795092i | ||||
\(841\) | −29.7854 | − | 21.6404i | −1.02708 | − | 0.746220i | ||||
\(842\) | 8.78281 | 0.302676 | ||||||||
\(843\) | −18.7951 | −0.647337 | ||||||||
\(844\) | 20.8548 | + | 15.1519i | 0.717852 | + | 0.521550i | ||||
\(845\) | −7.48219 | + | 5.43613i | −0.257395 | + | 0.187009i | ||||
\(846\) | −4.86969 | + | 3.53804i | −0.167423 | + | 0.121640i | ||||
\(847\) | −5.79689 | + | 17.8410i | −0.199183 | + | 0.613023i | ||||
\(848\) | −1.13590 | − | 0.825283i | −0.0390071 | − | 0.0283403i | ||||
\(849\) | 3.44036 | − | 10.5883i | 0.118073 | − | 0.363391i | ||||
\(850\) | 1.54940 | + | 4.76856i | 0.0531439 | + | 0.163560i | ||||
\(851\) | −7.71839 | + | 5.60774i | −0.264583 | + | 0.192231i | ||||
\(852\) | −3.40350 | − | 10.4749i | −0.116602 | − | 0.358864i | ||||
\(853\) | 16.0919 | + | 49.5257i | 0.550975 | + | 1.69573i | 0.706342 | + | 0.707870i | \(0.250344\pi\) |
−0.155367 | + | 0.987857i | \(0.549656\pi\) | |||||||
\(854\) | −30.4865 | + | 22.1497i | −1.04323 | + | 0.757949i | ||||
\(855\) | −0.100180 | − | 0.308322i | −0.00342608 | − | 0.0105444i | ||||
\(856\) | −1.02819 | + | 3.16444i | −0.0351428 | + | 0.108159i | ||||
\(857\) | −43.7750 | − | 31.8044i | −1.49533 | − | 1.08642i | −0.972197 | − | 0.234165i | \(-0.924764\pi\) |
−0.523129 | − | 0.852253i | \(-0.675236\pi\) | |||||||
\(858\) | 2.63086 | − | 8.09696i | 0.0898162 | − | 0.276426i | ||||
\(859\) | 26.1411 | − | 18.9926i | 0.891923 | − | 0.648020i | −0.0444560 | − | 0.999011i | \(-0.514155\pi\) |
0.936379 | + | 0.350992i | \(0.114155\pi\) | |||||||
\(860\) | 4.36969 | − | 3.17477i | 0.149005 | − | 0.108259i | ||||
\(861\) | 4.11956 | + | 2.99304i | 0.140394 | + | 0.102002i | ||||
\(862\) | −23.7769 | −0.809844 | ||||||||
\(863\) | 10.0039 | 0.340538 | 0.170269 | − | 0.985398i | \(-0.445536\pi\) | ||||
0.170269 | + | 0.985398i | \(0.445536\pi\) | |||||||
\(864\) | 0.809017 | + | 0.587785i | 0.0275233 | + | 0.0199969i | ||||
\(865\) | −4.16908 | − | 12.8311i | −0.141753 | − | 0.436271i | ||||
\(866\) | −3.14897 | + | 9.69154i | −0.107006 | + | 0.329332i | ||||
\(867\) | 8.13978 | 0.276442 | ||||||||
\(868\) | 6.68351 | − | 11.7187i | 0.226853 | − | 0.397758i | ||||
\(869\) | 7.69573 | 0.261060 | ||||||||
\(870\) | −2.50698 | + | 7.71569i | −0.0849946 | + | 0.261586i | ||||
\(871\) | −23.8349 | − | 73.3564i | −0.807616 | − | 2.48559i | ||||
\(872\) | 2.56050 | + | 1.86032i | 0.0867096 | + | 0.0629982i | ||||
\(873\) | −17.5669 | −0.594550 | ||||||||
\(874\) | 0.361639 | 0.0122326 | ||||||||
\(875\) | −1.96024 | − | 1.42420i | −0.0662681 | − | 0.0481466i | ||||
\(876\) | 4.87235 | − | 3.53997i | 0.164621 | − | 0.119604i | ||||
\(877\) | −2.74491 | + | 1.99429i | −0.0926890 | + | 0.0673425i | −0.633165 | − | 0.774017i | \(-0.718244\pi\) |
0.540476 | + | 0.841360i | \(0.318244\pi\) | |||||||
\(878\) | −3.61964 | + | 11.1401i | −0.122157 | + | 0.375960i | ||||
\(879\) | −6.04511 | − | 4.39203i | −0.203897 | − | 0.148140i | ||||
\(880\) | 0.557761 | − | 1.71661i | 0.0188021 | − | 0.0578669i | ||||
\(881\) | 10.2312 | + | 31.4885i | 0.344699 | + | 1.06087i | 0.961745 | + | 0.273946i | \(0.0883291\pi\) |
−0.617046 | + | 0.786927i | \(0.711671\pi\) | |||||||
\(882\) | −0.913494 | + | 0.663692i | −0.0307589 | + | 0.0223477i | ||||
\(883\) | −2.99169 | − | 9.20746i | −0.100678 | − | 0.309856i | 0.888014 | − | 0.459817i | \(-0.152085\pi\) |
−0.988692 | + | 0.149961i | \(0.952085\pi\) | |||||||
\(884\) | 7.30825 | + | 22.4925i | 0.245803 | + | 0.756504i | ||||
\(885\) | 5.42745 | − | 3.94328i | 0.182442 | − | 0.132552i | ||||
\(886\) | 11.4295 | + | 35.1764i | 0.383982 | + | 1.18177i | ||||
\(887\) | 11.3960 | − | 35.0732i | 0.382639 | − | 1.17764i | −0.555540 | − | 0.831490i | \(-0.687488\pi\) |
0.938179 | − | 0.346151i | \(-0.112512\pi\) | |||||||
\(888\) | 6.91909 | + | 5.02701i | 0.232189 | + | 0.168696i | ||||
\(889\) | −8.78062 | + | 27.0240i | −0.294492 | + | 0.906355i | ||||
\(890\) | 7.37667 | − | 5.35947i | 0.247267 | − | 0.179650i | ||||
\(891\) | −1.46024 | + | 1.06092i | −0.0489198 | + | 0.0355423i | ||||
\(892\) | 3.31644 | + | 2.40954i | 0.111043 | + | 0.0806772i | ||||
\(893\) | 1.95138 | 0.0653004 | ||||||||
\(894\) | 12.0385 | 0.402629 | ||||||||
\(895\) | 0.653457 | + | 0.474764i | 0.0218427 | + | 0.0158696i | ||||
\(896\) | −0.748744 | − | 2.30440i | −0.0250138 | − | 0.0769845i | ||||
\(897\) | −1.62596 | + | 5.00420i | −0.0542893 | + | 0.167085i | ||||
\(898\) | −19.5435 | −0.652176 | ||||||||
\(899\) | −41.1672 | + | 18.5899i | −1.37300 | + | 0.620009i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −2.17544 | + | 6.69532i | −0.0724745 | + | 0.223053i | ||||
\(902\) | 1.17217 | + | 3.60757i | 0.0390290 | + | 0.120119i | ||||
\(903\) | 10.5877 | + | 7.69241i | 0.352337 | + | 0.255988i | ||||
\(904\) | −6.81891 | −0.226794 | ||||||||
\(905\) | 13.7986 | 0.458680 | ||||||||
\(906\) | 3.08961 | + | 2.24473i | 0.102645 | + | 0.0745762i | ||||
\(907\) | −17.2831 | + | 12.5569i | −0.573875 | + | 0.416945i | −0.836511 | − | 0.547950i | \(-0.815408\pi\) |
0.262636 | + | 0.964895i | \(0.415408\pi\) | |||||||
\(908\) | 11.9662 | − | 8.69393i | 0.397111 | − | 0.288518i | ||||
\(909\) | −5.41532 | + | 16.6666i | −0.179615 | + | 0.552798i | ||||
\(910\) | −9.24610 | − | 6.71769i | −0.306505 | − | 0.222689i | ||||
\(911\) | 7.40895 | − | 22.8024i | 0.245469 | − | 0.755477i | −0.750089 | − | 0.661336i | \(-0.769990\pi\) |
0.995559 | − | 0.0941408i | \(-0.0300104\pi\) | |||||||
\(912\) | −0.100180 | − | 0.308322i | −0.00331729 | − | 0.0102096i | ||||
\(913\) | 12.7538 | − | 9.26619i | 0.422090 | − | 0.306666i | ||||
\(914\) | 10.2455 | + | 31.5324i | 0.338890 | + | 1.04300i | ||||
\(915\) | −4.80598 | − | 14.7913i | −0.158881 | − | 0.488984i | ||||
\(916\) | 1.31306 | − | 0.953991i | 0.0433846 | − | 0.0315207i | ||||
\(917\) | 6.75562 | + | 20.7917i | 0.223090 | + | 0.686601i | ||||
\(918\) | 1.54940 | − | 4.76856i | 0.0511378 | − | 0.157386i | ||||
\(919\) | 30.1080 | + | 21.8747i | 0.993170 | + | 0.721580i | 0.960613 | − | 0.277890i | \(-0.0896349\pi\) |
0.0325570 | + | 0.999470i | \(0.489635\pi\) | |||||||
\(920\) | −0.344715 | + | 1.06092i | −0.0113649 | + | 0.0349776i | ||||
\(921\) | 4.28939 | − | 3.11642i | 0.141340 | − | 0.102690i | ||||
\(922\) | −3.43399 | + | 2.49494i | −0.113092 | + | 0.0821664i | ||||
\(923\) | −42.0292 | − | 30.5360i | −1.38341 | − | 1.00511i | ||||
\(924\) | 4.37337 | 0.143873 | ||||||||
\(925\) | 8.55247 | 0.281203 | ||||||||
\(926\) | −2.42280 | − | 1.76027i | −0.0796181 | − | 0.0578459i | ||||
\(927\) | −5.45135 | − | 16.7775i | −0.179046 | − | 0.551046i | ||||
\(928\) | −2.50698 | + | 7.71569i | −0.0822956 | + | 0.253280i | ||||
\(929\) | 5.38273 | 0.176602 | 0.0883009 | − | 0.996094i | \(-0.471856\pi\) | ||||
0.0883009 | + | 0.996094i | \(0.471856\pi\) | |||||||
\(930\) | 3.74736 | + | 4.11792i | 0.122881 | + | 0.135032i | ||||
\(931\) | 0.366055 | 0.0119970 | ||||||||
\(932\) | 7.62781 | − | 23.4760i | 0.249857 | − | 0.768982i | ||||
\(933\) | 7.39728 | + | 22.7665i | 0.242176 | + | 0.745341i | ||||
\(934\) | −3.72299 | − | 2.70491i | −0.121820 | − | 0.0885074i | ||||
\(935\) | −9.04995 | −0.295965 | ||||||||
\(936\) | 4.71683 | 0.154174 | ||||||||
\(937\) | 16.6234 | + | 12.0776i | 0.543063 | + | 0.394558i | 0.825221 | − | 0.564810i | \(-0.191050\pi\) |
−0.282159 | + | 0.959368i | \(0.591050\pi\) | |||||||
\(938\) | 32.0546 | − | 23.2890i | 1.04662 | − | 0.760413i | ||||
\(939\) | −2.79376 | + | 2.02978i | −0.0911709 | + | 0.0662395i | ||||
\(940\) | −1.86006 | + | 5.72467i | −0.0606684 | + | 0.186718i | ||||
\(941\) | −39.0622 | − | 28.3803i | −1.27339 | − | 0.925172i | −0.274058 | − | 0.961713i | \(-0.588366\pi\) |
−0.999332 | + | 0.0365408i | \(0.988366\pi\) | |||||||
\(942\) | 5.35410 | − | 16.4782i | 0.174446 | − | 0.536890i | ||||
\(943\) | −0.724440 | − | 2.22960i | −0.0235910 | − | 0.0726057i | ||||
\(944\) | 5.42745 | − | 3.94328i | 0.176649 | − | 0.128343i | ||||
\(945\) | 0.748744 | + | 2.30440i | 0.0243566 | + | 0.0749620i | ||||
\(946\) | 3.01260 | + | 9.27182i | 0.0979480 | + | 0.301453i | ||||
\(947\) | −5.63111 | + | 4.09124i | −0.182986 | + | 0.132947i | −0.675508 | − | 0.737353i | \(-0.736075\pi\) |
0.492521 | + | 0.870301i | \(0.336075\pi\) | |||||||
\(948\) | 1.31755 | + | 4.05500i | 0.0427920 | + | 0.131700i | ||||
\(949\) | 8.77836 | − | 27.0170i | 0.284958 | − | 0.877009i | ||||
\(950\) | −0.262274 | − | 0.190553i | −0.00850930 | − | 0.00618237i | ||||
\(951\) | −4.35216 | + | 13.3946i | −0.141129 | + | 0.434349i | ||||
\(952\) | −9.82855 | + | 7.14086i | −0.318545 | + | 0.231436i | ||||
\(953\) | 21.3565 | − | 15.5164i | 0.691806 | − | 0.502627i | −0.185447 | − | 0.982654i | \(-0.559373\pi\) |
0.877253 | + | 0.480028i | \(0.159373\pi\) | |||||||
\(954\) | 1.13590 | + | 0.825283i | 0.0367763 | + | 0.0267195i | ||||
\(955\) | 4.61521 | 0.149345 | ||||||||
\(956\) | 6.08738 | 0.196880 | ||||||||
\(957\) | −11.8465 | − | 8.60702i | −0.382944 | − | 0.278225i | ||||
\(958\) | 2.51639 | + | 7.74466i | 0.0813010 | + | 0.250219i | ||||
\(959\) | −2.93941 | + | 9.04656i | −0.0949184 | + | 0.292129i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | −2.91457 | + | 30.8627i | −0.0940185 | + | 0.995570i | ||||
\(962\) | 40.3405 | 1.30063 | ||||||||
\(963\) | 1.02819 | − | 3.16444i | 0.0331330 | − | 0.101973i | ||||
\(964\) | 1.61181 | + | 4.96064i | 0.0519129 | + | 0.159771i | ||||
\(965\) | −14.7913 | − | 10.7465i | −0.476147 | − | 0.345941i | ||||
\(966\) | −2.70289 | −0.0869641 | ||||||||
\(967\) | 24.0701 | 0.774043 | 0.387021 | − | 0.922071i | \(-0.373504\pi\) | ||||
0.387021 | + | 0.922071i | \(0.373504\pi\) | |||||||
\(968\) | −6.26353 | − | 4.55072i | −0.201317 | − | 0.146266i | ||||
\(969\) | −1.31503 | + | 0.955427i | −0.0422449 | + | 0.0306927i | ||||
\(970\) | −14.2119 | + | 10.3256i | −0.456318 | + | 0.331534i | ||||
\(971\) | −12.9516 | + | 39.8608i | −0.415636 | + | 1.27920i | 0.496045 | + | 0.868297i | \(0.334785\pi\) |
−0.911681 | + | 0.410899i | \(0.865215\pi\) | |||||||
\(972\) | −0.809017 | − | 0.587785i | −0.0259492 | − | 0.0188532i | ||||
\(973\) | 5.28867 | − | 16.2769i | 0.169547 | − | 0.521812i | ||||
\(974\) | 10.7156 | + | 32.9791i | 0.343349 | + | 1.05672i | ||||
\(975\) | 3.81600 | − | 2.77248i | 0.122210 | − | 0.0887905i | ||||
\(976\) | −4.80598 | − | 14.7913i | −0.153836 | − | 0.473457i | ||||
\(977\) | 6.07981 | + | 18.7117i | 0.194510 | + | 0.598641i | 0.999982 | + | 0.00600699i | \(0.00191210\pi\) |
−0.805472 | + | 0.592634i | \(0.798088\pi\) | |||||||
\(978\) | −3.64244 | + | 2.64639i | −0.116472 | + | 0.0846221i | ||||
\(979\) | 5.08570 | + | 15.6522i | 0.162540 | + | 0.500246i | ||||
\(980\) | −0.348924 | + | 1.07388i | −0.0111460 | + | 0.0343037i | ||||
\(981\) | −2.56050 | − | 1.86032i | −0.0817506 | − | 0.0593953i | ||||
\(982\) | −6.52347 | + | 20.0772i | −0.208172 | + | 0.640688i | ||||
\(983\) | 44.3552 | − | 32.2259i | 1.41471 | − | 1.02785i | 0.422094 | − | 0.906552i | \(-0.361295\pi\) |
0.992617 | − | 0.121295i | \(-0.0387046\pi\) | |||||||
\(984\) | −1.70020 | + | 1.23527i | −0.0542004 | + | 0.0393789i | ||||
\(985\) | −1.82112 | − | 1.32312i | −0.0580257 | − | 0.0421582i | ||||
\(986\) | 40.6770 | 1.29542 | ||||||||
\(987\) | −14.5846 | −0.464233 | ||||||||
\(988\) | −1.23710 | − | 0.898808i | −0.0393575 | − | 0.0285949i | ||||
\(989\) | −1.86189 | − | 5.73030i | −0.0592046 | − | 0.182213i | ||||
\(990\) | −0.557761 | + | 1.71661i | −0.0177268 | + | 0.0545575i | ||||
\(991\) | −5.41290 | −0.171947 | −0.0859733 | − | 0.996297i | \(-0.527400\pi\) | ||||
−0.0859733 | + | 0.996297i | \(0.527400\pi\) | |||||||
\(992\) | 3.74736 | + | 4.11792i | 0.118979 | + | 0.130744i | ||||
\(993\) | −14.5806 | −0.462703 | ||||||||
\(994\) | 8.24663 | − | 25.3805i | 0.261567 | − | 0.805021i | ||||
\(995\) | 2.20376 | + | 6.78247i | 0.0698638 | + | 0.215019i | ||||
\(996\) | 7.06601 | + | 5.13376i | 0.223895 | + | 0.162669i | ||||
\(997\) | −31.3340 | −0.992356 | −0.496178 | − | 0.868221i | \(-0.665264\pi\) | ||||
−0.496178 | + | 0.868221i | \(0.665264\pi\) | |||||||
\(998\) | 24.7967 | 0.784924 | ||||||||
\(999\) | −6.91909 | − | 5.02701i | −0.218910 | − | 0.159048i |
(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.n.e.721.1 | ✓ | 12 | |
31.4 | even | 5 | inner | 930.2.n.e.841.1 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.n.e.721.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
930.2.n.e.841.1 | yes | 12 | 31.4 | even | 5 | inner |