Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(11,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.r (of order \(15\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 950.11 |
Dual form | 950.2.r.b.691.16 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.104528 | − | 0.994522i | −0.0739128 | − | 0.703233i | ||||
\(3\) | 0.459328 | + | 0.510136i | 0.265193 | + | 0.294527i | 0.861004 | − | 0.508598i | \(-0.169836\pi\) |
−0.595811 | + | 0.803125i | \(0.703169\pi\) | |||||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | −2.23563 | − | 0.0442828i | −0.999804 | − | 0.0198039i | ||||
\(6\) | 0.459328 | − | 0.510136i | 0.187520 | − | 0.208262i | ||||
\(7\) | 4.99570 | 1.88820 | 0.944099 | − | 0.329661i | \(-0.106934\pi\) | ||||
0.944099 | + | 0.329661i | \(0.106934\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0.264329 | − | 2.51493i | 0.0881098 | − | 0.838309i | ||||
\(10\) | 0.189647 | + | 2.22801i | 0.0599716 | + | 0.704559i | ||||
\(11\) | −1.51517 | + | 1.10083i | −0.456840 | + | 0.331914i | −0.792290 | − | 0.610144i | \(-0.791112\pi\) |
0.335450 | + | 0.942058i | \(0.391112\pi\) | |||||||
\(12\) | −0.555354 | − | 0.403488i | −0.160317 | − | 0.116477i | ||||
\(13\) | −0.629774 | + | 5.99190i | −0.174668 | + | 1.66185i | 0.459140 | + | 0.888364i | \(0.348158\pi\) |
−0.633808 | + | 0.773491i | \(0.718509\pi\) | |||||||
\(14\) | −0.522193 | − | 4.96834i | −0.139562 | − | 1.32784i | ||||
\(15\) | −1.00430 | − | 1.16081i | −0.259308 | − | 0.299721i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | −0.234714 | − | 0.0498900i | −0.0569265 | − | 0.0121001i | 0.179360 | − | 0.983783i | \(-0.442597\pi\) |
−0.236287 | + | 0.971683i | \(0.575931\pi\) | |||||||
\(18\) | −2.52878 | −0.596039 | ||||||||
\(19\) | 4.10575 | − | 1.46383i | 0.941924 | − | 0.335826i | ||||
\(20\) | 2.19598 | − | 0.421498i | 0.491037 | − | 0.0942499i | ||||
\(21\) | 2.29467 | + | 2.54849i | 0.500738 | + | 0.556125i | ||||
\(22\) | 1.25318 | + | 1.39180i | 0.267179 | + | 0.296732i | ||||
\(23\) | 1.49321 | + | 0.664819i | 0.311355 | + | 0.138624i | 0.556465 | − | 0.830871i | \(-0.312157\pi\) |
−0.245110 | + | 0.969495i | \(0.578824\pi\) | |||||||
\(24\) | −0.343228 | + | 0.594488i | −0.0700610 | + | 0.121349i | ||||
\(25\) | 4.99608 | + | 0.198000i | 0.999216 | + | 0.0396000i | ||||
\(26\) | 6.02491 | 1.18158 | ||||||||
\(27\) | 3.07043 | − | 2.23080i | 0.590904 | − | 0.429317i | ||||
\(28\) | −4.88654 | + | 1.03867i | −0.923469 | + | 0.196289i | ||||
\(29\) | −1.21648 | + | 0.258572i | −0.225895 | + | 0.0480156i | −0.319469 | − | 0.947597i | \(-0.603504\pi\) |
0.0935732 | + | 0.995612i | \(0.470171\pi\) | |||||||
\(30\) | −1.04948 | + | 1.12013i | −0.191608 | + | 0.204508i | ||||
\(31\) | −1.44168 | − | 4.43704i | −0.258933 | − | 0.796915i | −0.993029 | − | 0.117869i | \(-0.962394\pi\) |
0.734096 | − | 0.679046i | \(-0.237606\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −1.25753 | − | 0.267297i | −0.218908 | − | 0.0465304i | ||||
\(34\) | −0.0250824 | + | 0.238643i | −0.00430160 | + | 0.0409270i | ||||
\(35\) | −11.1685 | − | 0.221224i | −1.88783 | − | 0.0373936i | ||||
\(36\) | 0.264329 | + | 2.51493i | 0.0440549 | + | 0.419154i | ||||
\(37\) | 9.21730 | + | 6.69676i | 1.51531 | + | 1.10094i | 0.963750 | + | 0.266808i | \(0.0859690\pi\) |
0.551565 | + | 0.834132i | \(0.314031\pi\) | |||||||
\(38\) | −1.88498 | − | 3.93025i | −0.305784 | − | 0.637570i | ||||
\(39\) | −3.34596 | + | 2.43098i | −0.535782 | + | 0.389268i | ||||
\(40\) | −0.648732 | − | 2.13989i | −0.102574 | − | 0.338347i | ||||
\(41\) | 0.739673 | − | 0.329324i | 0.115518 | − | 0.0514317i | −0.348164 | − | 0.937434i | \(-0.613195\pi\) |
0.463682 | + | 0.886002i | \(0.346528\pi\) | |||||||
\(42\) | 2.29467 | − | 2.54849i | 0.354075 | − | 0.393240i | ||||
\(43\) | −0.638878 | + | 1.10657i | −0.0974280 | + | 0.168750i | −0.910619 | − | 0.413246i | \(-0.864395\pi\) |
0.813191 | + | 0.581996i | \(0.197728\pi\) | |||||||
\(44\) | 1.25318 | − | 1.39180i | 0.188924 | − | 0.209821i | ||||
\(45\) | −0.702311 | + | 5.61074i | −0.104694 | + | 0.836399i | ||||
\(46\) | 0.505094 | − | 1.55452i | 0.0744721 | − | 0.229201i | ||||
\(47\) | −8.50472 | + | 1.80773i | −1.24054 | + | 0.263685i | −0.781034 | − | 0.624489i | \(-0.785307\pi\) |
−0.459507 | + | 0.888174i | \(0.651974\pi\) | |||||||
\(48\) | 0.627108 | + | 0.279206i | 0.0905152 | + | 0.0403000i | ||||
\(49\) | 17.9571 | 2.56530 | ||||||||
\(50\) | −0.325317 | − | 4.98941i | −0.0460068 | − | 0.705609i | ||||
\(51\) | −0.0823601 | − | 0.142652i | −0.0115327 | − | 0.0199753i | ||||
\(52\) | −0.629774 | − | 5.99190i | −0.0873340 | − | 0.830927i | ||||
\(53\) | 10.6576 | − | 2.26535i | 1.46394 | − | 0.311169i | 0.594053 | − | 0.804426i | \(-0.297527\pi\) |
0.869884 | + | 0.493256i | \(0.164194\pi\) | |||||||
\(54\) | −2.53952 | − | 2.82043i | −0.345585 | − | 0.383811i | ||||
\(55\) | 3.43610 | − | 2.39396i | 0.463324 | − | 0.322801i | ||||
\(56\) | 1.54376 | + | 4.75120i | 0.206293 | + | 0.634905i | ||||
\(57\) | 2.63264 | + | 1.42211i | 0.348702 | + | 0.188363i | ||||
\(58\) | 0.384313 | + | 1.18279i | 0.0504627 | + | 0.155308i | ||||
\(59\) | 10.1611 | − | 4.52403i | 1.32287 | − | 0.588979i | 0.380880 | − | 0.924625i | \(-0.375621\pi\) |
0.941988 | + | 0.335646i | \(0.108955\pi\) | |||||||
\(60\) | 1.22370 | + | 0.926643i | 0.157979 | + | 0.119629i | ||||
\(61\) | 2.04055 | + | 0.908513i | 0.261266 | + | 0.116323i | 0.533190 | − | 0.845996i | \(-0.320993\pi\) |
−0.271924 | + | 0.962319i | \(0.587660\pi\) | |||||||
\(62\) | −4.26203 | + | 1.89758i | −0.541279 | + | 0.240993i | ||||
\(63\) | 1.32051 | − | 12.5638i | 0.166369 | − | 1.58289i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 1.67328 | − | 13.3678i | 0.207545 | − | 1.65807i | ||||
\(66\) | −0.134385 | + | 1.27858i | −0.0165416 | + | 0.157383i | ||||
\(67\) | 5.56235 | − | 6.17762i | 0.679550 | − | 0.754716i | −0.300432 | − | 0.953803i | \(-0.597131\pi\) |
0.979982 | + | 0.199087i | \(0.0637975\pi\) | |||||||
\(68\) | 0.239958 | 0.0290992 | ||||||||
\(69\) | 0.346724 | + | 1.06711i | 0.0417407 | + | 0.128465i | ||||
\(70\) | 0.947419 | + | 11.1305i | 0.113238 | + | 1.33035i | ||||
\(71\) | 10.6424 | + | 11.8196i | 1.26302 | + | 1.40273i | 0.877181 | + | 0.480161i | \(0.159422\pi\) |
0.385840 | + | 0.922566i | \(0.373912\pi\) | |||||||
\(72\) | 2.47352 | − | 0.525763i | 0.291507 | − | 0.0619617i | ||||
\(73\) | −0.443807 | − | 4.22254i | −0.0519437 | − | 0.494211i | −0.989306 | − | 0.145855i | \(-0.953407\pi\) |
0.937362 | − | 0.348356i | \(-0.113260\pi\) | |||||||
\(74\) | 5.69660 | − | 9.86681i | 0.662217 | − | 1.14699i | ||||
\(75\) | 2.19383 | + | 2.63962i | 0.253322 | + | 0.304798i | ||||
\(76\) | −3.71168 | + | 2.28548i | −0.425759 | + | 0.262162i | ||||
\(77\) | −7.56933 | + | 5.49944i | −0.862605 | + | 0.626719i | ||||
\(78\) | 2.76741 | + | 3.07352i | 0.313347 | + | 0.348008i | ||||
\(79\) | −5.64962 | − | 6.27454i | −0.635632 | − | 0.705941i | 0.336153 | − | 0.941807i | \(-0.390874\pi\) |
−0.971786 | + | 0.235866i | \(0.924207\pi\) | |||||||
\(80\) | −2.06036 | + | 0.868858i | −0.230355 | + | 0.0971413i | ||||
\(81\) | −4.87222 | − | 1.03562i | −0.541357 | − | 0.115069i | ||||
\(82\) | −0.404836 | − | 0.701197i | −0.0447067 | − | 0.0774343i | ||||
\(83\) | −0.0445335 | − | 0.137060i | −0.00488818 | − | 0.0150443i | 0.948583 | − | 0.316529i | \(-0.102518\pi\) |
−0.953471 | + | 0.301485i | \(0.902518\pi\) | |||||||
\(84\) | −2.77438 | − | 2.01571i | −0.302710 | − | 0.219932i | ||||
\(85\) | 0.522524 | + | 0.121929i | 0.0566757 | + | 0.0132251i | ||||
\(86\) | 1.16729 | + | 0.519710i | 0.125872 | + | 0.0560418i | ||||
\(87\) | −0.690672 | − | 0.501803i | −0.0740478 | − | 0.0537989i | ||||
\(88\) | −1.51517 | − | 1.10083i | −0.161517 | − | 0.117349i | ||||
\(89\) | −4.69369 | − | 2.08977i | −0.497530 | − | 0.221515i | 0.142601 | − | 0.989780i | \(-0.454453\pi\) |
−0.640131 | + | 0.768265i | \(0.721120\pi\) | |||||||
\(90\) | 5.65341 | + | 0.111981i | 0.595922 | + | 0.0118039i | ||||
\(91\) | −3.14617 | + | 29.9338i | −0.329808 | + | 3.13791i | ||||
\(92\) | −1.59880 | − | 0.339836i | −0.166687 | − | 0.0354303i | ||||
\(93\) | 1.60129 | − | 2.77351i | 0.166046 | − | 0.287599i | ||||
\(94\) | 2.68682 | + | 8.26917i | 0.277124 | + | 0.852900i | ||||
\(95\) | −9.24376 | + | 3.09077i | −0.948390 | + | 0.317106i | ||||
\(96\) | 0.212126 | − | 0.652858i | 0.0216500 | − | 0.0666320i | ||||
\(97\) | 4.30496 | + | 4.78114i | 0.437102 | + | 0.485451i | 0.920939 | − | 0.389707i | \(-0.127424\pi\) |
−0.483837 | + | 0.875158i | \(0.660757\pi\) | |||||||
\(98\) | −1.87702 | − | 17.8587i | −0.189608 | − | 1.80400i | ||||
\(99\) | 2.36801 | + | 4.10152i | 0.237994 | + | 0.412218i | ||||
\(100\) | −4.92807 | + | 0.845070i | −0.492807 | + | 0.0845070i | ||||
\(101\) | −4.48344 | − | 7.76555i | −0.446119 | − | 0.772701i | 0.552010 | − | 0.833837i | \(-0.313861\pi\) |
−0.998129 | + | 0.0611363i | \(0.980528\pi\) | |||||||
\(102\) | −0.133261 | + | 0.0968201i | −0.0131949 | + | 0.00958662i | ||||
\(103\) | −0.705846 | + | 2.17237i | −0.0695490 | + | 0.214050i | −0.979790 | − | 0.200029i | \(-0.935896\pi\) |
0.910241 | + | 0.414079i | \(0.135896\pi\) | |||||||
\(104\) | −5.89325 | + | 1.25265i | −0.577881 | + | 0.122832i | ||||
\(105\) | −5.01717 | − | 5.79909i | −0.489626 | − | 0.565933i | ||||
\(106\) | −3.36696 | − | 10.3624i | −0.327028 | − | 1.00649i | ||||
\(107\) | 3.78437 | 0.365849 | 0.182925 | − | 0.983127i | \(-0.441444\pi\) | ||||
0.182925 | + | 0.983127i | \(0.441444\pi\) | |||||||
\(108\) | −2.53952 | + | 2.82043i | −0.244366 | + | 0.271396i | ||||
\(109\) | −14.9862 | + | 6.67228i | −1.43542 | + | 0.639089i | −0.969355 | − | 0.245664i | \(-0.920994\pi\) |
−0.466062 | + | 0.884752i | \(0.654327\pi\) | |||||||
\(110\) | −2.74002 | − | 3.16704i | −0.261250 | − | 0.301965i | ||||
\(111\) | 0.817509 | + | 7.77808i | 0.0775945 | + | 0.738263i | ||||
\(112\) | 4.56380 | − | 2.03194i | 0.431239 | − | 0.192000i | ||||
\(113\) | −9.31225 | − | 6.76574i | −0.876023 | − | 0.636468i | 0.0561737 | − | 0.998421i | \(-0.482110\pi\) |
−0.932196 | + | 0.361953i | \(0.882110\pi\) | |||||||
\(114\) | 1.13914 | − | 2.76687i | 0.106690 | − | 0.259141i | ||||
\(115\) | −3.30882 | − | 1.55241i | −0.308549 | − | 0.144763i | ||||
\(116\) | 1.13614 | − | 0.505843i | 0.105488 | − | 0.0469663i | ||||
\(117\) | 14.9027 | + | 3.16767i | 1.37776 | + | 0.292851i | ||||
\(118\) | −5.56138 | − | 9.63259i | −0.511966 | − | 0.886752i | ||||
\(119\) | −1.17256 | − | 0.249236i | −0.107489 | − | 0.0228474i | ||||
\(120\) | 0.793655 | − | 1.31385i | 0.0724505 | − | 0.119938i | ||||
\(121\) | −2.31529 | + | 7.12573i | −0.210481 | + | 0.647794i | ||||
\(122\) | 0.690240 | − | 2.12434i | 0.0624914 | − | 0.192329i | ||||
\(123\) | 0.507752 | + | 0.226066i | 0.0457825 | + | 0.0203837i | ||||
\(124\) | 2.33269 | + | 4.04033i | 0.209482 | + | 0.362833i | ||||
\(125\) | −11.1606 | − | 0.663894i | −0.998235 | − | 0.0593805i | ||||
\(126\) | −12.6330 | −1.12544 | ||||||||
\(127\) | −7.72690 | − | 3.44024i | −0.685652 | − | 0.305272i | 0.0341848 | − | 0.999416i | \(-0.489117\pi\) |
−0.719836 | + | 0.694144i | \(0.755783\pi\) | |||||||
\(128\) | 0.669131 | + | 0.743145i | 0.0591433 | + | 0.0656853i | ||||
\(129\) | −0.857955 | + | 0.182364i | −0.0755387 | + | 0.0160562i | ||||
\(130\) | −13.4695 | − | 0.266800i | −1.18135 | − | 0.0233999i | ||||
\(131\) | −10.1942 | − | 2.16685i | −0.890675 | − | 0.189319i | −0.260224 | − | 0.965548i | \(-0.583796\pi\) |
−0.630451 | + | 0.776229i | \(0.717130\pi\) | |||||||
\(132\) | 1.28563 | 0.111899 | ||||||||
\(133\) | 20.5111 | − | 7.31287i | 1.77854 | − | 0.634106i | ||||
\(134\) | −6.72520 | − | 4.88615i | −0.580969 | − | 0.422099i | ||||
\(135\) | −6.96313 | + | 4.85127i | −0.599291 | + | 0.417531i | ||||
\(136\) | −0.0250824 | − | 0.238643i | −0.00215080 | − | 0.0204635i | ||||
\(137\) | −0.0887258 | + | 0.844170i | −0.00758036 | + | 0.0721223i | −0.997658 | − | 0.0683986i | \(-0.978211\pi\) |
0.990078 | + | 0.140521i | \(0.0448777\pi\) | |||||||
\(138\) | 1.02502 | − | 0.456368i | 0.0872555 | − | 0.0388486i | ||||
\(139\) | −2.99401 | − | 1.33302i | −0.253949 | − | 0.113065i | 0.275814 | − | 0.961211i | \(-0.411053\pi\) |
−0.529763 | + | 0.848146i | \(0.677719\pi\) | |||||||
\(140\) | 10.9705 | − | 2.10568i | 0.927175 | − | 0.177963i | ||||
\(141\) | −4.82865 | − | 3.50822i | −0.406645 | − | 0.295445i | ||||
\(142\) | 10.6424 | − | 11.8196i | 0.893090 | − | 0.991877i | ||||
\(143\) | −5.64187 | − | 9.77201i | −0.471797 | − | 0.817176i | ||||
\(144\) | −0.781436 | − | 2.40501i | −0.0651197 | − | 0.200418i | ||||
\(145\) | 2.73106 | − | 0.524201i | 0.226802 | − | 0.0435325i | ||||
\(146\) | −4.15302 | + | 0.882752i | −0.343706 | + | 0.0730570i | ||||
\(147\) | 8.24819 | + | 9.16054i | 0.680299 | + | 0.755548i | ||||
\(148\) | −10.4082 | − | 4.63403i | −0.855550 | − | 0.380915i | ||||
\(149\) | −9.85076 | + | 17.0620i | −0.807006 | + | 1.39777i | 0.107923 | + | 0.994159i | \(0.465580\pi\) |
−0.914929 | + | 0.403615i | \(0.867753\pi\) | |||||||
\(150\) | 2.39585 | − | 2.45773i | 0.195620 | − | 0.200673i | ||||
\(151\) | −15.9117 | −1.29488 | −0.647438 | − | 0.762118i | \(-0.724160\pi\) | ||||
−0.647438 | + | 0.762118i | \(0.724160\pi\) | |||||||
\(152\) | 2.66093 | + | 3.45245i | 0.215830 | + | 0.280031i | ||||
\(153\) | −0.187512 | + | 0.577101i | −0.0151594 | + | 0.0466559i | ||||
\(154\) | 6.26052 | + | 6.95301i | 0.504487 | + | 0.560290i | ||||
\(155\) | 3.02658 | + | 9.98341i | 0.243101 | + | 0.801887i | ||||
\(156\) | 2.76741 | − | 3.07352i | 0.221570 | − | 0.246079i | ||||
\(157\) | −9.10910 | + | 15.7774i | −0.726986 | + | 1.25918i | 0.231166 | + | 0.972914i | \(0.425746\pi\) |
−0.958151 | + | 0.286262i | \(0.907587\pi\) | |||||||
\(158\) | −5.64962 | + | 6.27454i | −0.449460 | + | 0.499176i | ||||
\(159\) | 6.05098 | + | 4.39629i | 0.479874 | + | 0.348649i | ||||
\(160\) | 1.07946 | + | 1.95825i | 0.0853392 | + | 0.154814i | ||||
\(161\) | 7.45962 | + | 3.32124i | 0.587901 | + | 0.261750i | ||||
\(162\) | −0.520663 | + | 4.95378i | −0.0409071 | + | 0.389205i | ||||
\(163\) | −2.07333 | − | 1.50636i | −0.162396 | − | 0.117987i | 0.503619 | − | 0.863926i | \(-0.332001\pi\) |
−0.666015 | + | 0.745938i | \(0.732001\pi\) | |||||||
\(164\) | −0.655039 | + | 0.475914i | −0.0511500 | + | 0.0371626i | ||||
\(165\) | 2.79954 | + | 0.653264i | 0.217944 | + | 0.0508565i | ||||
\(166\) | −0.131654 | + | 0.0586162i | −0.0102183 | + | 0.00454950i | ||||
\(167\) | 11.2340 | − | 12.4766i | 0.869313 | − | 0.965469i | −0.130349 | − | 0.991468i | \(-0.541610\pi\) |
0.999662 | + | 0.0259988i | \(0.00827660\pi\) | |||||||
\(168\) | −1.71466 | + | 2.96988i | −0.132289 | + | 0.229132i | ||||
\(169\) | −22.7904 | − | 4.84424i | −1.75310 | − | 0.372634i | ||||
\(170\) | 0.0666428 | − | 0.532407i | 0.00511127 | − | 0.0408338i | ||||
\(171\) | −2.59616 | − | 10.7126i | −0.198533 | − | 0.819213i | ||||
\(172\) | 0.394848 | − | 1.21522i | 0.0301069 | − | 0.0926595i | ||||
\(173\) | 0.459003 | + | 4.36713i | 0.0348974 | + | 0.332026i | 0.998017 | + | 0.0629514i | \(0.0200513\pi\) |
−0.963119 | + | 0.269075i | \(0.913282\pi\) | |||||||
\(174\) | −0.426859 | + | 0.739341i | −0.0323601 | + | 0.0560493i | ||||
\(175\) | 24.9589 | + | 0.989149i | 1.88672 | + | 0.0747726i | ||||
\(176\) | −0.936425 | + | 1.62194i | −0.0705857 | + | 0.122258i | ||||
\(177\) | 6.97517 | + | 3.10554i | 0.524286 | + | 0.233427i | ||||
\(178\) | −1.58769 | + | 4.88642i | −0.119003 | + | 0.366253i | ||||
\(179\) | −2.63589 | + | 8.11244i | −0.197016 | + | 0.606353i | 0.802931 | + | 0.596072i | \(0.203273\pi\) |
−0.999947 | + | 0.0102809i | \(0.996727\pi\) | |||||||
\(180\) | −0.479575 | − | 5.63415i | −0.0357454 | − | 0.419945i | ||||
\(181\) | 11.1676 | − | 12.4029i | 0.830083 | − | 0.921901i | −0.167873 | − | 0.985809i | \(-0.553690\pi\) |
0.997956 | + | 0.0639081i | \(0.0203565\pi\) | |||||||
\(182\) | 30.0987 | 2.23106 | ||||||||
\(183\) | 0.473819 | + | 1.45827i | 0.0350257 | + | 0.107798i | ||||
\(184\) | −0.170854 | + | 1.62556i | −0.0125955 | + | 0.119838i | ||||
\(185\) | −20.3099 | − | 15.3796i | −1.49321 | − | 1.13073i | ||||
\(186\) | −2.92569 | − | 1.30260i | −0.214522 | − | 0.0955115i | ||||
\(187\) | 0.410552 | − | 0.182789i | 0.0300225 | − | 0.0133669i | ||||
\(188\) | 7.94302 | − | 3.53646i | 0.579304 | − | 0.257923i | ||||
\(189\) | 15.3390 | − | 11.1444i | 1.11574 | − | 0.810636i | ||||
\(190\) | 4.04007 | + | 8.87005i | 0.293098 | + | 0.643501i | ||||
\(191\) | 19.9737 | + | 14.5117i | 1.44525 | + | 1.05003i | 0.986913 | + | 0.161252i | \(0.0515531\pi\) |
0.458333 | + | 0.888781i | \(0.348447\pi\) | |||||||
\(192\) | −0.671454 | − | 0.142722i | −0.0484580 | − | 0.0103001i | ||||
\(193\) | −0.282929 | + | 0.490048i | −0.0203657 | + | 0.0352744i | −0.876029 | − | 0.482259i | \(-0.839816\pi\) |
0.855663 | + | 0.517534i | \(0.173150\pi\) | |||||||
\(194\) | 4.30496 | − | 4.78114i | 0.309078 | − | 0.343266i | ||||
\(195\) | 7.58797 | − | 5.28660i | 0.543386 | − | 0.378581i | ||||
\(196\) | −17.5647 | + | 3.73348i | −1.25462 | + | 0.266677i | ||||
\(197\) | −3.58694 | + | 11.0395i | −0.255559 | + | 0.786530i | 0.738160 | + | 0.674626i | \(0.235695\pi\) |
−0.993719 | + | 0.111904i | \(0.964305\pi\) | |||||||
\(198\) | 3.83152 | − | 2.78376i | 0.272294 | − | 0.197834i | ||||
\(199\) | −11.5099 | − | 19.9358i | −0.815918 | − | 1.41321i | −0.908667 | − | 0.417522i | \(-0.862899\pi\) |
0.0927489 | − | 0.995690i | \(-0.470435\pi\) | |||||||
\(200\) | 1.35556 | + | 4.81274i | 0.0958529 | + | 0.340312i | ||||
\(201\) | 5.70637 | 0.402496 | ||||||||
\(202\) | −7.25436 | + | 5.27060i | −0.510415 | + | 0.370838i | ||||
\(203\) | −6.07720 | + | 1.29175i | −0.426536 | + | 0.0906629i | ||||
\(204\) | 0.110219 | + | 0.122411i | 0.00771690 | + | 0.00857048i | ||||
\(205\) | −1.66822 | + | 0.703491i | −0.116513 | + | 0.0491339i | ||||
\(206\) | 2.23425 | + | 0.474904i | 0.155668 | + | 0.0330882i | ||||
\(207\) | 2.06667 | − | 3.57958i | 0.143643 | − | 0.248798i | ||||
\(208\) | 1.86180 | + | 5.73003i | 0.129093 | + | 0.397306i | ||||
\(209\) | −4.60947 | + | 6.73770i | −0.318843 | + | 0.466056i | ||||
\(210\) | −5.24288 | + | 5.59586i | −0.361793 | + | 0.386151i | ||||
\(211\) | 2.08419 | + | 19.8298i | 0.143482 | + | 1.36514i | 0.795048 | + | 0.606547i | \(0.207446\pi\) |
−0.651566 | + | 0.758592i | \(0.725888\pi\) | |||||||
\(212\) | −9.95374 | + | 4.43169i | −0.683625 | + | 0.304370i | ||||
\(213\) | −1.14124 | + | 10.8581i | −0.0781962 | + | 0.743987i | ||||
\(214\) | −0.395575 | − | 3.76364i | −0.0270409 | − | 0.257277i | ||||
\(215\) | 1.47730 | − | 2.44559i | 0.100751 | − | 0.166788i | ||||
\(216\) | 3.07043 | + | 2.23080i | 0.208916 | + | 0.151787i | ||||
\(217\) | −7.20221 | − | 22.1661i | −0.488918 | − | 1.50473i | ||||
\(218\) | 8.20221 | + | 14.2067i | 0.555524 | + | 0.962196i | ||||
\(219\) | 1.95022 | − | 2.16593i | 0.131783 | − | 0.146360i | ||||
\(220\) | −2.86328 | + | 3.05605i | −0.193042 | + | 0.206039i | ||||
\(221\) | 0.446753 | − | 1.37496i | 0.0300519 | − | 0.0924901i | ||||
\(222\) | 7.65002 | − | 1.62606i | 0.513436 | − | 0.109134i | ||||
\(223\) | −1.30917 | − | 12.4559i | −0.0876686 | − | 0.834111i | −0.946685 | − | 0.322162i | \(-0.895590\pi\) |
0.859016 | − | 0.511949i | \(-0.171076\pi\) | |||||||
\(224\) | −2.49785 | − | 4.32641i | −0.166895 | − | 0.289070i | ||||
\(225\) | 1.81857 | − | 12.5124i | 0.121238 | − | 0.834162i | ||||
\(226\) | −5.75529 | + | 9.96845i | −0.382836 | + | 0.663091i | ||||
\(227\) | −1.27691 | + | 0.927732i | −0.0847518 | + | 0.0615758i | −0.629354 | − | 0.777119i | \(-0.716681\pi\) |
0.544602 | + | 0.838694i | \(0.316681\pi\) | |||||||
\(228\) | −2.87078 | − | 0.843678i | −0.190122 | − | 0.0558740i | ||||
\(229\) | 1.12903 | − | 3.47480i | 0.0746084 | − | 0.229621i | −0.906797 | − | 0.421568i | \(-0.861480\pi\) |
0.981405 | + | 0.191947i | \(0.0614800\pi\) | |||||||
\(230\) | −1.19804 | + | 3.45296i | −0.0789965 | + | 0.227682i | ||||
\(231\) | −6.28226 | − | 1.33534i | −0.413343 | − | 0.0878587i | ||||
\(232\) | −0.621831 | − | 1.07704i | −0.0408252 | − | 0.0707113i | ||||
\(233\) | 0.418147 | + | 0.0888799i | 0.0273937 | + | 0.00582272i | 0.221588 | − | 0.975140i | \(-0.428876\pi\) |
−0.194194 | + | 0.980963i | \(0.562209\pi\) | |||||||
\(234\) | 1.59256 | − | 15.1522i | 0.104109 | − | 0.990530i | ||||
\(235\) | 19.0935 | − | 3.66481i | 1.24552 | − | 0.239066i | ||||
\(236\) | −8.99850 | + | 6.53779i | −0.585752 | + | 0.425574i | ||||
\(237\) | 0.605836 | − | 5.76415i | 0.0393533 | − | 0.374422i | ||||
\(238\) | −0.125304 | + | 1.19219i | −0.00812227 | + | 0.0772783i | ||||
\(239\) | −21.1449 | + | 15.3626i | −1.36775 | + | 0.993727i | −0.369838 | + | 0.929096i | \(0.620587\pi\) |
−0.997909 | + | 0.0646308i | \(0.979413\pi\) | |||||||
\(240\) | −1.38962 | − | 0.651972i | −0.0896994 | − | 0.0420846i | ||||
\(241\) | 2.21552 | − | 21.0792i | 0.142714 | − | 1.35783i | −0.655380 | − | 0.755299i | \(-0.727492\pi\) |
0.798094 | − | 0.602533i | \(-0.205842\pi\) | |||||||
\(242\) | 7.32871 | + | 1.55776i | 0.471107 | + | 0.100137i | ||||
\(243\) | −7.40253 | − | 12.8216i | −0.474872 | − | 0.822503i | ||||
\(244\) | −2.18485 | − | 0.464405i | −0.139871 | − | 0.0297305i | ||||
\(245\) | −40.1453 | − | 0.795189i | −2.56479 | − | 0.0508028i | ||||
\(246\) | 0.171753 | − | 0.528601i | 0.0109506 | − | 0.0337024i | ||||
\(247\) | 6.18543 | + | 25.5231i | 0.393570 | + | 1.62400i | ||||
\(248\) | 3.77437 | − | 2.74224i | 0.239673 | − | 0.174132i | ||||
\(249\) | 0.0494637 | − | 0.0856736i | 0.00313463 | − | 0.00542934i | ||||
\(250\) | 0.506344 | + | 11.1689i | 0.0320240 | + | 0.706381i | ||||
\(251\) | 13.3728 | + | 23.1624i | 0.844084 | + | 1.46200i | 0.886415 | + | 0.462892i | \(0.153188\pi\) |
−0.0423308 | + | 0.999104i | \(0.513478\pi\) | |||||||
\(252\) | 1.32051 | + | 12.5638i | 0.0831844 | + | 0.791447i | ||||
\(253\) | −2.99431 | + | 0.636461i | −0.188251 | + | 0.0400140i | ||||
\(254\) | −2.61371 | + | 8.04418i | −0.163999 | + | 0.504736i | ||||
\(255\) | 0.177810 | + | 0.322564i | 0.0111349 | + | 0.0201997i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | −12.4474 | − | 21.5595i | −0.776447 | − | 1.34485i | −0.933978 | − | 0.357331i | \(-0.883687\pi\) |
0.157531 | − | 0.987514i | \(-0.449647\pi\) | |||||||
\(258\) | 0.271046 | + | 0.834193i | 0.0168746 | + | 0.0519346i | ||||
\(259\) | 46.0469 | + | 33.4550i | 2.86121 | + | 2.07879i | ||||
\(260\) | 1.14260 | + | 13.4236i | 0.0708613 | + | 0.832494i | ||||
\(261\) | 0.328736 | + | 3.12772i | 0.0203483 | + | 0.193601i | ||||
\(262\) | −1.08939 | + | 10.3649i | −0.0673030 | + | 0.640345i | ||||
\(263\) | 15.7084 | − | 6.99385i | 0.968624 | − | 0.431259i | 0.139437 | − | 0.990231i | \(-0.455471\pi\) |
0.829187 | + | 0.558972i | \(0.188804\pi\) | |||||||
\(264\) | −0.134385 | − | 1.27858i | −0.00827080 | − | 0.0786914i | ||||
\(265\) | −23.9268 | + | 4.59253i | −1.46981 | + | 0.282117i | ||||
\(266\) | −9.41680 | − | 19.6344i | −0.577381 | − | 1.20386i | ||||
\(267\) | −1.08988 | − | 3.35431i | −0.0666996 | − | 0.205280i | ||||
\(268\) | −4.15640 | + | 7.19910i | −0.253893 | + | 0.439755i | ||||
\(269\) | −19.3888 | − | 4.12122i | −1.18216 | − | 0.251275i | −0.425421 | − | 0.904995i | \(-0.639874\pi\) |
−0.756736 | + | 0.653720i | \(0.773207\pi\) | |||||||
\(270\) | 5.55254 | + | 6.41789i | 0.337917 | + | 0.390580i | ||||
\(271\) | 2.15423 | + | 2.39252i | 0.130860 | + | 0.145335i | 0.805014 | − | 0.593256i | \(-0.202158\pi\) |
−0.674153 | + | 0.738592i | \(0.735491\pi\) | |||||||
\(272\) | −0.234714 | + | 0.0498900i | −0.0142316 | + | 0.00302503i | ||||
\(273\) | −16.7154 | + | 12.1445i | −1.01166 | + | 0.735016i | ||||
\(274\) | 0.848820 | 0.0512791 | ||||||||
\(275\) | −7.78786 | + | 5.19985i | −0.469625 | + | 0.313563i | ||||
\(276\) | −0.561012 | − | 0.971701i | −0.0337689 | − | 0.0584895i | ||||
\(277\) | 16.7743 | − | 12.1873i | 1.00787 | − | 0.732262i | 0.0441102 | − | 0.999027i | \(-0.485955\pi\) |
0.963762 | + | 0.266765i | \(0.0859547\pi\) | |||||||
\(278\) | −1.01276 | + | 3.11695i | −0.0607412 | + | 0.186942i | ||||
\(279\) | −11.5399 | + | 2.45288i | −0.690876 | + | 0.146850i | ||||
\(280\) | −3.24087 | − | 10.6903i | −0.193679 | − | 0.638866i | ||||
\(281\) | 4.77154 | − | 5.29933i | 0.284646 | − | 0.316131i | −0.583817 | − | 0.811885i | \(-0.698442\pi\) |
0.868463 | + | 0.495754i | \(0.165108\pi\) | |||||||
\(282\) | −2.98427 | + | 5.16890i | −0.177711 | + | 0.307804i | ||||
\(283\) | −4.08107 | − | 0.867458i | −0.242594 | − | 0.0515650i | 0.0850097 | − | 0.996380i | \(-0.472908\pi\) |
−0.327604 | + | 0.944815i | \(0.606241\pi\) | |||||||
\(284\) | −12.8673 | − | 9.34862i | −0.763532 | − | 0.554738i | ||||
\(285\) | −5.82263 | − | 3.29589i | −0.344903 | − | 0.195232i | ||||
\(286\) | −9.12874 | + | 6.63242i | −0.539794 | + | 0.392183i | ||||
\(287\) | 3.69519 | − | 1.64520i | 0.218120 | − | 0.0971133i | ||||
\(288\) | −2.31015 | + | 1.02855i | −0.136127 | + | 0.0606077i | ||||
\(289\) | −15.4777 | − | 6.89110i | −0.910451 | − | 0.405359i | ||||
\(290\) | −0.806803 | − | 2.66130i | −0.0473771 | − | 0.156277i | ||||
\(291\) | −0.461641 | + | 4.39222i | −0.0270619 | + | 0.257477i | ||||
\(292\) | 1.31202 | + | 4.03800i | 0.0767804 | + | 0.236306i | ||||
\(293\) | −12.6887 | −0.741284 | −0.370642 | − | 0.928776i | \(-0.620862\pi\) | ||||
−0.370642 | + | 0.928776i | \(0.620862\pi\) | |||||||
\(294\) | 8.24819 | − | 9.16054i | 0.481044 | − | 0.534253i | ||||
\(295\) | −22.9169 | + | 9.66409i | −1.33427 | + | 0.562665i | ||||
\(296\) | −3.52069 | + | 10.8356i | −0.204636 | + | 0.629805i | ||||
\(297\) | −2.19648 | + | 6.76006i | −0.127453 | + | 0.392259i | ||||
\(298\) | 17.9982 | + | 8.01333i | 1.04261 | + | 0.464200i | ||||
\(299\) | −4.92391 | + | 8.52847i | −0.284757 | + | 0.493214i | ||||
\(300\) | −2.69470 | − | 2.12582i | −0.155579 | − | 0.122734i | ||||
\(301\) | −3.19165 | + | 5.52809i | −0.183963 | + | 0.318634i | ||||
\(302\) | 1.66323 | + | 15.8245i | 0.0957079 | + | 0.910600i | ||||
\(303\) | 1.90211 | − | 5.85410i | 0.109273 | − | 0.336309i | ||||
\(304\) | 3.15540 | − | 3.00724i | 0.180974 | − | 0.172477i | ||||
\(305\) | −4.52169 | − | 2.12146i | −0.258911 | − | 0.121474i | ||||
\(306\) | 0.593540 | + | 0.126161i | 0.0339304 | + | 0.00721214i | ||||
\(307\) | 3.17602 | − | 5.50103i | 0.181265 | − | 0.313960i | −0.761046 | − | 0.648697i | \(-0.775314\pi\) |
0.942312 | + | 0.334737i | \(0.108647\pi\) | |||||||
\(308\) | 6.26052 | − | 6.95301i | 0.356726 | − | 0.396185i | ||||
\(309\) | −1.43242 | + | 0.637753i | −0.0814874 | + | 0.0362805i | ||||
\(310\) | 9.61236 | − | 4.05355i | 0.545945 | − | 0.230226i | ||||
\(311\) | −5.27395 | + | 3.83175i | −0.299058 | + | 0.217279i | −0.727187 | − | 0.686439i | \(-0.759173\pi\) |
0.428129 | + | 0.903718i | \(0.359173\pi\) | |||||||
\(312\) | −3.34596 | − | 2.43098i | −0.189427 | − | 0.137627i | ||||
\(313\) | −2.30775 | + | 21.9568i | −0.130442 | + | 1.24107i | 0.711959 | + | 0.702221i | \(0.247808\pi\) |
−0.842401 | + | 0.538851i | \(0.818859\pi\) | |||||||
\(314\) | 16.6432 | + | 7.41001i | 0.939228 | + | 0.418171i | ||||
\(315\) | −3.50854 | + | 28.0296i | −0.197684 | + | 1.57929i | ||||
\(316\) | 6.83072 | + | 4.96281i | 0.384258 | + | 0.279180i | ||||
\(317\) | 4.63797 | − | 5.15099i | 0.260494 | − | 0.289308i | −0.598683 | − | 0.800986i | \(-0.704309\pi\) |
0.859178 | + | 0.511678i | \(0.170976\pi\) | |||||||
\(318\) | 3.73971 | − | 6.47737i | 0.209713 | − | 0.363233i | ||||
\(319\) | 1.55853 | − | 1.73093i | 0.0872611 | − | 0.0969132i | ||||
\(320\) | 1.83469 | − | 1.27824i | 0.102562 | − | 0.0714560i | ||||
\(321\) | 1.73827 | + | 1.93054i | 0.0970208 | + | 0.107752i | ||||
\(322\) | 2.52330 | − | 7.76592i | 0.140618 | − | 0.432778i | ||||
\(323\) | −1.03671 | + | 0.138746i | −0.0576840 | + | 0.00772002i | ||||
\(324\) | 4.98106 | 0.276726 | ||||||||
\(325\) | −4.33280 | + | 29.8113i | −0.240340 | + | 1.65363i | ||||
\(326\) | −1.28139 | + | 2.21943i | −0.0709695 | + | 0.122923i | ||||
\(327\) | −10.2873 | − | 4.58022i | −0.568892 | − | 0.253287i | ||||
\(328\) | 0.541777 | + | 0.601704i | 0.0299146 | + | 0.0332236i | ||||
\(329\) | −42.4871 | + | 9.03090i | −2.34239 | + | 0.497890i | ||||
\(330\) | 0.357053 | − | 2.85249i | 0.0196551 | − | 0.157024i | ||||
\(331\) | 2.40304 | + | 7.39580i | 0.132083 | + | 0.406510i | 0.995125 | − | 0.0986225i | \(-0.0314436\pi\) |
−0.863042 | + | 0.505132i | \(0.831444\pi\) | |||||||
\(332\) | 0.0720567 | + | 0.124806i | 0.00395462 | + | 0.00684961i | ||||
\(333\) | 19.2783 | − | 21.4107i | 1.05644 | − | 1.17330i | ||||
\(334\) | −13.5825 | − | 9.86829i | −0.743203 | − | 0.539969i | ||||
\(335\) | −12.7089 | + | 13.5646i | −0.694363 | + | 0.741111i | ||||
\(336\) | 3.13285 | + | 1.39483i | 0.170911 | + | 0.0760944i | ||||
\(337\) | −18.6096 | + | 8.28555i | −1.01373 | + | 0.451343i | −0.845255 | − | 0.534363i | \(-0.820552\pi\) |
−0.168477 | + | 0.985706i | \(0.553885\pi\) | |||||||
\(338\) | −2.43546 | + | 23.1719i | −0.132472 | + | 1.26038i | ||||
\(339\) | −0.825931 | − | 7.85820i | −0.0448584 | − | 0.426799i | ||||
\(340\) | −0.536457 | − | 0.0106260i | −0.0290934 | − | 0.000576276i | ||||
\(341\) | 7.06882 | + | 5.13580i | 0.382798 | + | 0.278119i | ||||
\(342\) | −10.3825 | + | 3.70171i | −0.561424 | + | 0.200165i | ||||
\(343\) | 54.7383 | 2.95559 | ||||||||
\(344\) | −1.24983 | − | 0.265660i | −0.0673865 | − | 0.0143234i | ||||
\(345\) | −0.727893 | − | 2.40101i | −0.0391884 | − | 0.129266i | ||||
\(346\) | 4.29522 | − | 0.912978i | 0.230913 | − | 0.0490820i | ||||
\(347\) | −24.0765 | − | 26.7397i | −1.29249 | − | 1.43546i | −0.838932 | − | 0.544236i | \(-0.816820\pi\) |
−0.453563 | − | 0.891224i | \(-0.649847\pi\) | |||||||
\(348\) | 0.779910 | + | 0.347238i | 0.0418076 | + | 0.0186139i | ||||
\(349\) | 28.6400 | 1.53307 | 0.766533 | − | 0.642205i | \(-0.221980\pi\) | ||||
0.766533 | + | 0.642205i | \(0.221980\pi\) | |||||||
\(350\) | −1.62519 | − | 24.9256i | −0.0868700 | − | 1.33233i | ||||
\(351\) | 11.4330 | + | 19.8026i | 0.610251 | + | 1.05699i | ||||
\(352\) | 1.71093 | + | 0.761756i | 0.0911930 | + | 0.0406018i | ||||
\(353\) | 8.06814 | − | 24.8312i | 0.429424 | − | 1.32163i | −0.469270 | − | 0.883055i | \(-0.655483\pi\) |
0.898694 | − | 0.438576i | \(-0.144517\pi\) | |||||||
\(354\) | 2.35943 | − | 7.26157i | 0.125402 | − | 0.385948i | ||||
\(355\) | −23.2691 | − | 26.8955i | −1.23499 | − | 1.42746i | ||||
\(356\) | 5.02561 | + | 1.06823i | 0.266357 | + | 0.0566159i | ||||
\(357\) | −0.411447 | − | 0.712647i | −0.0217761 | − | 0.0377173i | ||||
\(358\) | 8.34353 | + | 1.77347i | 0.440969 | + | 0.0937309i | ||||
\(359\) | 21.2681 | − | 9.46918i | 1.12249 | − | 0.499764i | 0.240318 | − | 0.970694i | \(-0.422748\pi\) |
0.882170 | + | 0.470930i | \(0.156082\pi\) | |||||||
\(360\) | −5.55316 | + | 1.06588i | −0.292677 | + | 0.0561766i | ||||
\(361\) | 14.7144 | − | 12.0203i | 0.774442 | − | 0.632645i | ||||
\(362\) | −13.5023 | − | 9.80999i | −0.709665 | − | 0.515602i | ||||
\(363\) | −4.69857 | + | 2.09194i | −0.246611 | + | 0.109798i | ||||
\(364\) | −3.14617 | − | 29.9338i | −0.164904 | − | 1.56896i | ||||
\(365\) | 0.805202 | + | 9.45969i | 0.0421462 | + | 0.495143i | ||||
\(366\) | 1.40075 | − | 0.623654i | 0.0732183 | − | 0.0325989i | ||||
\(367\) | −0.677030 | + | 0.751918i | −0.0353407 | + | 0.0392498i | −0.760556 | − | 0.649272i | \(-0.775074\pi\) |
0.725215 | + | 0.688522i | \(0.241740\pi\) | |||||||
\(368\) | 1.63452 | 0.0852052 | ||||||||
\(369\) | −0.632707 | − | 1.94727i | −0.0329374 | − | 0.101371i | ||||
\(370\) | −13.1724 | + | 21.8063i | −0.684802 | + | 1.13365i | ||||
\(371\) | 53.2423 | − | 11.3170i | 2.76420 | − | 0.587550i | ||||
\(372\) | −0.989649 | + | 3.04583i | −0.0513109 | + | 0.157919i | ||||
\(373\) | −0.132681 | + | 0.0963984i | −0.00686996 | + | 0.00499132i | −0.591215 | − | 0.806514i | \(-0.701352\pi\) |
0.584345 | + | 0.811505i | \(0.301352\pi\) | |||||||
\(374\) | −0.224702 | − | 0.389196i | −0.0116191 | − | 0.0201248i | ||||
\(375\) | −4.78771 | − | 5.99837i | −0.247236 | − | 0.309755i | ||||
\(376\) | −4.34736 | − | 7.52985i | −0.224198 | − | 0.388322i | ||||
\(377\) | −0.783226 | − | 7.45190i | −0.0403382 | − | 0.383792i | ||||
\(378\) | −12.6867 | − | 14.0900i | −0.652534 | − | 0.724712i | ||||
\(379\) | −5.43257 | + | 16.7197i | −0.279052 | + | 0.858834i | 0.709066 | + | 0.705142i | \(0.249117\pi\) |
−0.988119 | + | 0.153693i | \(0.950883\pi\) | |||||||
\(380\) | 8.39916 | − | 4.94511i | 0.430868 | − | 0.253679i | ||||
\(381\) | −1.79420 | − | 5.52197i | −0.0919194 | − | 0.282899i | ||||
\(382\) | 12.3444 | − | 21.3812i | 0.631596 | − | 1.09396i | ||||
\(383\) | 1.34440 | + | 0.285761i | 0.0686957 | + | 0.0146017i | 0.242131 | − | 0.970243i | \(-0.422154\pi\) |
−0.173436 | + | 0.984845i | \(0.555487\pi\) | |||||||
\(384\) | −0.0717541 | + | 0.682695i | −0.00366169 | + | 0.0348386i | ||||
\(385\) | 17.1657 | − | 11.9595i | 0.874847 | − | 0.609513i | ||||
\(386\) | 0.516937 | + | 0.230155i | 0.0263114 | + | 0.0117146i | ||||
\(387\) | 2.61407 | + | 1.89923i | 0.132880 | + | 0.0965433i | ||||
\(388\) | −5.20494 | − | 3.78161i | −0.264241 | − | 0.191982i | ||||
\(389\) | −20.3466 | − | 9.05888i | −1.03161 | − | 0.459303i | −0.180106 | − | 0.983647i | \(-0.557644\pi\) |
−0.851507 | + | 0.524344i | \(0.824311\pi\) | |||||||
\(390\) | −6.05080 | − | 6.99380i | −0.306394 | − | 0.354145i | ||||
\(391\) | −0.317309 | − | 0.230538i | −0.0160470 | − | 0.0116588i | ||||
\(392\) | 5.54904 | + | 17.0782i | 0.280269 | + | 0.862579i | ||||
\(393\) | −3.57711 | − | 6.19574i | −0.180441 | − | 0.312534i | ||||
\(394\) | 11.3539 | + | 2.41335i | 0.572003 | + | 0.121583i | ||||
\(395\) | 12.3526 | + | 14.2777i | 0.621527 | + | 0.718391i | ||||
\(396\) | −3.16902 | − | 3.51955i | −0.159249 | − | 0.176864i | ||||
\(397\) | −9.73646 | − | 10.8134i | −0.488659 | − | 0.542710i | 0.447502 | − | 0.894283i | \(-0.352314\pi\) |
−0.936161 | + | 0.351572i | \(0.885647\pi\) | |||||||
\(398\) | −18.6235 | + | 13.5307i | −0.933510 | + | 0.678235i | ||||
\(399\) | 13.1519 | + | 7.10445i | 0.658418 | + | 0.355667i | ||||
\(400\) | 4.64468 | − | 1.85121i | 0.232234 | − | 0.0925603i | ||||
\(401\) | −4.78674 | + | 8.29087i | −0.239038 | + | 0.414026i | −0.960439 | − | 0.278492i | \(-0.910165\pi\) |
0.721400 | + | 0.692518i | \(0.243499\pi\) | |||||||
\(402\) | −0.596478 | − | 5.67511i | −0.0297496 | − | 0.283049i | ||||
\(403\) | 27.4942 | − | 5.84408i | 1.36958 | − | 0.291114i | ||||
\(404\) | 6.00002 | + | 6.66369i | 0.298512 | + | 0.331531i | ||||
\(405\) | 10.8466 | + | 2.53102i | 0.538972 | + | 0.125767i | ||||
\(406\) | 1.91991 | + | 5.90888i | 0.0952836 | + | 0.293253i | ||||
\(407\) | −21.3378 | −1.05767 | ||||||||
\(408\) | 0.110219 | − | 0.122411i | 0.00545667 | − | 0.00606025i | ||||
\(409\) | 1.80164 | − | 17.1415i | 0.0890854 | − | 0.847591i | −0.855164 | − | 0.518358i | \(-0.826543\pi\) |
0.944249 | − | 0.329232i | \(-0.106790\pi\) | |||||||
\(410\) | 0.874013 | + | 1.58554i | 0.0431644 | + | 0.0783045i | ||||
\(411\) | −0.471395 | + | 0.342489i | −0.0232522 | + | 0.0168937i | ||||
\(412\) | 0.238760 | − | 2.27165i | 0.0117629 | − | 0.111916i | ||||
\(413\) | 50.7621 | − | 22.6007i | 2.49784 | − | 1.11211i | ||||
\(414\) | −3.77599 | − | 1.68118i | −0.185580 | − | 0.0826255i | ||||
\(415\) | 0.0934909 | + | 0.308387i | 0.00458929 | + | 0.0151381i | ||||
\(416\) | 5.50403 | − | 2.45055i | 0.269857 | − | 0.120148i | ||||
\(417\) | −0.695214 | − | 2.13965i | −0.0340448 | − | 0.104779i | ||||
\(418\) | 7.18261 | + | 3.87993i | 0.351313 | + | 0.189774i | ||||
\(419\) | −8.74085 | − | 26.9016i | −0.427019 | − | 1.31423i | −0.901048 | − | 0.433719i | \(-0.857201\pi\) |
0.474030 | − | 0.880509i | \(-0.342799\pi\) | |||||||
\(420\) | 6.11323 | + | 4.62923i | 0.298295 | + | 0.225883i | ||||
\(421\) | −6.65752 | − | 7.39392i | −0.324467 | − | 0.360358i | 0.558738 | − | 0.829344i | \(-0.311286\pi\) |
−0.883205 | + | 0.468987i | \(0.844619\pi\) | |||||||
\(422\) | 19.5033 | − | 4.14555i | 0.949406 | − | 0.201802i | ||||
\(423\) | 2.29827 | + | 21.8666i | 0.111746 | + | 1.06319i | ||||
\(424\) | 5.44786 | + | 9.43597i | 0.264571 | + | 0.458251i | ||||
\(425\) | −1.16277 | − | 0.295728i | −0.0564027 | − | 0.0143449i | ||||
\(426\) | 10.9179 | 0.528976 | ||||||||
\(427\) | 10.1940 | + | 4.53866i | 0.493323 | + | 0.219641i | ||||
\(428\) | −3.70168 | + | 0.786816i | −0.178927 | + | 0.0380322i | ||||
\(429\) | 2.39358 | − | 7.36668i | 0.115563 | − | 0.355667i | ||||
\(430\) | −2.58661 | − | 1.21357i | −0.124737 | − | 0.0585235i | ||||
\(431\) | −0.945984 | + | 1.05062i | −0.0455665 | + | 0.0506067i | −0.765497 | − | 0.643439i | \(-0.777507\pi\) |
0.719931 | + | 0.694046i | \(0.244174\pi\) | |||||||
\(432\) | 1.89763 | − | 3.28679i | 0.0912997 | − | 0.158136i | ||||
\(433\) | 7.84784 | − | 8.71591i | 0.377143 | − | 0.418860i | −0.524453 | − | 0.851440i | \(-0.675730\pi\) |
0.901596 | + | 0.432580i | \(0.142397\pi\) | |||||||
\(434\) | −21.2919 | + | 9.47975i | −1.02204 | + | 0.455042i | ||||
\(435\) | 1.52187 | + | 1.15243i | 0.0729679 | + | 0.0552548i | ||||
\(436\) | 13.2715 | − | 9.64228i | 0.635588 | − | 0.461782i | ||||
\(437\) | 7.10392 | + | 0.543778i | 0.339827 | + | 0.0260124i | ||||
\(438\) | −2.35792 | − | 1.71313i | −0.112666 | − | 0.0818565i | ||||
\(439\) | −1.78543 | − | 16.9872i | −0.0852138 | − | 0.810755i | −0.950760 | − | 0.309927i | \(-0.899695\pi\) |
0.865547 | − | 0.500828i | \(-0.166971\pi\) | |||||||
\(440\) | 3.33860 | + | 2.52815i | 0.159162 | + | 0.120525i | ||||
\(441\) | 4.74658 | − | 45.1607i | 0.226028 | − | 2.15051i | ||||
\(442\) | −1.41413 | − | 0.300583i | −0.0672633 | − | 0.0142973i | ||||
\(443\) | 12.0752 | + | 20.9149i | 0.573711 | + | 0.993696i | 0.996180 | + | 0.0873192i | \(0.0278300\pi\) |
−0.422470 | + | 0.906377i | \(0.638837\pi\) | |||||||
\(444\) | −2.41680 | − | 7.43814i | −0.114696 | − | 0.352999i | ||||
\(445\) | 10.4008 | + | 4.87979i | 0.493046 | + | 0.231324i | ||||
\(446\) | −12.2509 | + | 2.60400i | −0.580095 | + | 0.123303i | ||||
\(447\) | −13.2287 | + | 2.81184i | −0.625695 | + | 0.132996i | ||||
\(448\) | −4.04161 | + | 2.93640i | −0.190948 | + | 0.138732i | ||||
\(449\) | −1.51432 | −0.0714650 | −0.0357325 | − | 0.999361i | \(-0.511376\pi\) | ||||
−0.0357325 | + | 0.999361i | \(0.511376\pi\) | |||||||
\(450\) | −12.6340 | − | 0.500698i | −0.595571 | − | 0.0236031i | ||||
\(451\) | −0.758198 | + | 1.31324i | −0.0357021 | + | 0.0618379i | ||||
\(452\) | 10.5154 | + | 4.68177i | 0.494604 | + | 0.220212i | ||||
\(453\) | −7.30869 | − | 8.11713i | −0.343392 | − | 0.381376i | ||||
\(454\) | 1.05612 | + | 1.17294i | 0.0495664 | + | 0.0550490i | ||||
\(455\) | 8.35921 | − | 66.7815i | 0.391886 | − | 3.13077i | ||||
\(456\) | −0.538978 | + | 2.94325i | −0.0252400 | + | 0.137830i | ||||
\(457\) | −6.56852 | −0.307263 | −0.153631 | − | 0.988128i | \(-0.549097\pi\) | ||||
−0.153631 | + | 0.988128i | \(0.549097\pi\) | |||||||
\(458\) | −3.57378 | − | 0.759630i | −0.166992 | − | 0.0354952i | ||||
\(459\) | −0.831967 | + | 0.370416i | −0.0388329 | + | 0.0172895i | ||||
\(460\) | 3.55928 | + | 0.830546i | 0.165952 | + | 0.0387244i | ||||
\(461\) | −1.53571 | − | 14.6113i | −0.0715253 | − | 0.680518i | −0.970267 | − | 0.242038i | \(-0.922184\pi\) |
0.898741 | − | 0.438479i | \(-0.144483\pi\) | |||||||
\(462\) | −0.671346 | + | 6.38743i | −0.0312338 | + | 0.297170i | ||||
\(463\) | −2.73269 | − | 1.98541i | −0.126999 | − | 0.0922700i | 0.522473 | − | 0.852656i | \(-0.325010\pi\) |
−0.649471 | + | 0.760386i | \(0.725010\pi\) | |||||||
\(464\) | −1.00614 | + | 0.731006i | −0.0467090 | + | 0.0339361i | ||||
\(465\) | −3.70270 | + | 6.12963i | −0.171709 | + | 0.284255i | ||||
\(466\) | 0.0446848 | − | 0.425147i | 0.00206998 | − | 0.0196946i | ||||
\(467\) | 6.08505 | + | 18.7278i | 0.281582 | + | 0.866621i | 0.987402 | + | 0.158230i | \(0.0505788\pi\) |
−0.705820 | + | 0.708391i | \(0.749421\pi\) | |||||||
\(468\) | −15.2357 | −0.704269 | ||||||||
\(469\) | 27.7879 | − | 30.8616i | 1.28313 | − | 1.42505i | ||||
\(470\) | −5.64054 | − | 18.6058i | −0.260179 | − | 0.858221i | ||||
\(471\) | −12.2327 | + | 2.60014i | −0.563653 | + | 0.119808i | ||||
\(472\) | 7.44257 | + | 8.26582i | 0.342572 | + | 0.380465i | ||||
\(473\) | −0.250141 | − | 2.37993i | −0.0115015 | − | 0.109430i | ||||
\(474\) | −5.79590 | −0.266214 | ||||||||
\(475\) | 20.8025 | − | 6.50047i | 0.954484 | − | 0.298262i | ||||
\(476\) | 1.19876 | 0.0549450 | ||||||||
\(477\) | −2.88006 | − | 27.4019i | −0.131869 | − | 1.25465i | ||||
\(478\) | 17.4887 | + | 19.4232i | 0.799916 | + | 0.888396i | ||||
\(479\) | 31.8526 | − | 6.77047i | 1.45538 | − | 0.309351i | 0.588756 | − | 0.808311i | \(-0.299618\pi\) |
0.866625 | + | 0.498960i | \(0.166285\pi\) | |||||||
\(480\) | −0.503146 | + | 1.45015i | −0.0229654 | + | 0.0661902i | ||||
\(481\) | −45.9311 | + | 51.0117i | −2.09428 | + | 2.32593i | ||||
\(482\) | −21.1953 | −0.965421 | ||||||||
\(483\) | 1.73213 | + | 5.33096i | 0.0788148 | + | 0.242567i | ||||
\(484\) | 0.783173 | − | 7.45139i | 0.0355988 | − | 0.338700i | ||||
\(485\) | −9.41257 | − | 10.8795i | −0.427403 | − | 0.494012i | ||||
\(486\) | −11.9775 | + | 8.70219i | −0.543312 | + | 0.394739i | ||||
\(487\) | 15.8353 | + | 11.5050i | 0.717565 | + | 0.521342i | 0.885605 | − | 0.464438i | \(-0.153744\pi\) |
−0.168040 | + | 0.985780i | \(0.553744\pi\) | |||||||
\(488\) | −0.233482 | + | 2.22143i | −0.0105692 | + | 0.100559i | ||||
\(489\) | −0.183890 | − | 1.74959i | −0.00831578 | − | 0.0791193i | ||||
\(490\) | 3.40550 | + | 40.0085i | 0.153845 | + | 1.80740i | ||||
\(491\) | 8.85426 | − | 3.94217i | 0.399587 | − | 0.177908i | −0.197097 | − | 0.980384i | \(-0.563151\pi\) |
0.596684 | + | 0.802476i | \(0.296485\pi\) | |||||||
\(492\) | −0.543658 | − | 0.115558i | −0.0245100 | − | 0.00520976i | ||||
\(493\) | 0.298426 | 0.0134404 | ||||||||
\(494\) | 24.7368 | − | 8.81945i | 1.11296 | − | 0.396806i | ||||
\(495\) | −5.11237 | − | 9.27433i | −0.229784 | − | 0.416850i | ||||
\(496\) | −3.12175 | − | 3.46705i | −0.140171 | − | 0.155675i | ||||
\(497\) | 53.1663 | + | 59.0471i | 2.38483 | + | 2.64863i | ||||
\(498\) | −0.0903746 | − | 0.0402374i | −0.00404978 | − | 0.00180308i | ||||
\(499\) | −18.3561 | + | 31.7937i | −0.821732 | + | 1.42328i | 0.0826591 | + | 0.996578i | \(0.473659\pi\) |
−0.904391 | + | 0.426704i | \(0.859675\pi\) | |||||||
\(500\) | 11.0548 | − | 1.67103i | 0.494384 | − | 0.0747309i | ||||
\(501\) | 11.5249 | 0.514892 | ||||||||
\(502\) | 21.6376 | − | 15.7207i | 0.965735 | − | 0.701648i | ||||
\(503\) | −11.4817 | + | 2.44051i | −0.511944 | + | 0.108817i | −0.456638 | − | 0.889652i | \(-0.650947\pi\) |
−0.0553057 | + | 0.998469i | \(0.517613\pi\) | |||||||
\(504\) | 12.3570 | − | 2.62656i | 0.550423 | − | 0.116996i | ||||
\(505\) | 9.67943 | + | 17.5594i | 0.430729 | + | 0.781384i | ||||
\(506\) | 0.945965 | + | 2.91138i | 0.0420533 | + | 0.129427i | ||||
\(507\) | −7.99703 | − | 13.8513i | −0.355161 | − | 0.615156i | ||||
\(508\) | 8.27332 | + | 1.75855i | 0.367069 | + | 0.0780229i | ||||
\(509\) | −2.04461 | + | 19.4532i | −0.0906258 | + | 0.862247i | 0.850905 | + | 0.525320i | \(0.176054\pi\) |
−0.941531 | + | 0.336927i | \(0.890612\pi\) | |||||||
\(510\) | 0.302211 | − | 0.210553i | 0.0133821 | − | 0.00932343i | ||||
\(511\) | −2.21713 | − | 21.0946i | −0.0980800 | − | 0.933169i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 9.34091 | − | 13.6537i | 0.412411 | − | 0.602825i | ||||
\(514\) | −20.1403 | + | 14.6328i | −0.888350 | + | 0.645424i | ||||
\(515\) | 1.67421 | − | 4.82536i | 0.0737744 | − | 0.212631i | ||||
\(516\) | 0.801291 | − | 0.356758i | 0.0352749 | − | 0.0157054i | ||||
\(517\) | 10.8961 | − | 12.1013i | 0.479208 | − | 0.532214i | ||||
\(518\) | 28.4585 | − | 49.2917i | 1.25040 | − | 2.16575i | ||||
\(519\) | −2.01699 | + | 2.24010i | −0.0885362 | + | 0.0983294i | ||||
\(520\) | 13.2306 | − | 2.53949i | 0.580200 | − | 0.111364i | ||||
\(521\) | 2.68444 | − | 8.26184i | 0.117607 | − | 0.361958i | −0.874875 | − | 0.484349i | \(-0.839056\pi\) |
0.992482 | + | 0.122392i | \(0.0390564\pi\) | |||||||
\(522\) | 3.07622 | − | 0.653871i | 0.134643 | − | 0.0286192i | ||||
\(523\) | −36.8587 | − | 16.4105i | −1.61172 | − | 0.717583i | −0.614278 | − | 0.789090i | \(-0.710553\pi\) |
−0.997440 | + | 0.0715066i | \(0.977219\pi\) | |||||||
\(524\) | 10.4220 | 0.455286 | ||||||||
\(525\) | 10.9597 | + | 13.1868i | 0.478322 | + | 0.575518i | ||||
\(526\) | −8.59752 | − | 14.8913i | −0.374870 | − | 0.649293i | ||||
\(527\) | 0.117019 | + | 1.11336i | 0.00509742 | + | 0.0484987i | ||||
\(528\) | −1.25753 | + | 0.267297i | −0.0547271 | + | 0.0116326i | ||||
\(529\) | −13.6023 | − | 15.1069i | −0.591405 | − | 0.656822i | ||||
\(530\) | 7.06840 | + | 23.3157i | 0.307032 | + | 1.01277i | ||||
\(531\) | −8.69172 | − | 26.7504i | −0.377188 | − | 1.16087i | ||||
\(532\) | −18.5425 | + | 11.4176i | −0.803918 | + | 0.495014i | ||||
\(533\) | 1.50745 | + | 4.63945i | 0.0652948 | + | 0.200957i | ||||
\(534\) | −3.22201 | + | 1.43453i | −0.139430 | + | 0.0620782i | ||||
\(535\) | −8.46046 | − | 0.167583i | −0.365778 | − | 0.00724523i | ||||
\(536\) | 7.59413 | + | 3.38112i | 0.328016 | + | 0.146042i | ||||
\(537\) | −5.34919 | + | 2.38161i | −0.230834 | + | 0.102774i | ||||
\(538\) | −2.07196 | + | 19.7134i | −0.0893286 | + | 0.849905i | ||||
\(539\) | −27.2080 | + | 19.7677i | −1.17193 | + | 0.851457i | ||||
\(540\) | 5.80233 | − | 6.19297i | 0.249693 | − | 0.266503i | ||||
\(541\) | −3.40992 | + | 32.4433i | −0.146604 | + | 1.39484i | 0.635694 | + | 0.771941i | \(0.280714\pi\) |
−0.782298 | + | 0.622904i | \(0.785953\pi\) | |||||||
\(542\) | 2.15423 | − | 2.39252i | 0.0925323 | − | 0.102768i | ||||
\(543\) | 11.4568 | 0.491657 | ||||||||
\(544\) | 0.0741510 | + | 0.228213i | 0.00317920 | + | 0.00978457i | ||||
\(545\) | 33.7990 | − | 14.2531i | 1.44779 | − | 0.610537i | ||||
\(546\) | 13.8252 | + | 15.3544i | 0.591662 | + | 0.657108i | ||||
\(547\) | −12.8996 | + | 2.74189i | −0.551546 | + | 0.117235i | −0.475251 | − | 0.879850i | \(-0.657643\pi\) |
−0.0762957 | + | 0.997085i | \(0.524309\pi\) | |||||||
\(548\) | −0.0887258 | − | 0.844170i | −0.00379018 | − | 0.0360611i | ||||
\(549\) | 2.82422 | − | 4.89170i | 0.120535 | − | 0.208773i | ||||
\(550\) | 5.98541 | + | 7.20166i | 0.255219 | + | 0.307080i | ||||
\(551\) | −4.61608 | + | 2.84236i | −0.196652 | + | 0.121089i | ||||
\(552\) | −0.907736 | + | 0.659509i | −0.0386358 | + | 0.0280706i | ||||
\(553\) | −28.2238 | − | 31.3458i | −1.20020 | − | 1.33296i | ||||
\(554\) | −13.8739 | − | 15.4085i | −0.589445 | − | 0.654645i | ||||
\(555\) | −1.48321 | − | 17.4251i | −0.0629589 | − | 0.739655i | ||||
\(556\) | 3.20574 | + | 0.681401i | 0.135954 | + | 0.0288978i | ||||
\(557\) | −12.4093 | − | 21.4935i | −0.525798 | − | 0.910709i | −0.999548 | − | 0.0300496i | \(-0.990433\pi\) |
0.473750 | − | 0.880659i | \(-0.342900\pi\) | |||||||
\(558\) | 3.64569 | + | 11.2203i | 0.154334 | + | 0.474993i | ||||
\(559\) | −6.22810 | − | 4.52498i | −0.263421 | − | 0.191386i | ||||
\(560\) | −10.2930 | + | 4.34056i | −0.434957 | + | 0.183422i | ||||
\(561\) | 0.281825 | + | 0.125477i | 0.0118987 | + | 0.00529763i | ||||
\(562\) | −5.76906 | − | 4.19147i | −0.243353 | − | 0.176806i | ||||
\(563\) | −4.47882 | − | 3.25405i | −0.188760 | − | 0.137142i | 0.489392 | − | 0.872064i | \(-0.337219\pi\) |
−0.678152 | + | 0.734922i | \(0.737219\pi\) | |||||||
\(564\) | 5.45253 | + | 2.42762i | 0.229593 | + | 0.102221i | ||||
\(565\) | 20.5191 | + | 15.5381i | 0.863246 | + | 0.653691i | ||||
\(566\) | −0.436118 | + | 4.14939i | −0.0183314 | + | 0.174412i | ||||
\(567\) | −24.3401 | − | 5.17366i | −1.02219 | − | 0.217273i | ||||
\(568\) | −7.95241 | + | 13.7740i | −0.333676 | + | 0.577943i | ||||
\(569\) | −12.3787 | − | 38.0977i | −0.518942 | − | 1.59714i | −0.775994 | − | 0.630741i | \(-0.782751\pi\) |
0.257052 | − | 0.966398i | \(-0.417249\pi\) | |||||||
\(570\) | −2.66921 | + | 6.13525i | −0.111801 | + | 0.256977i | ||||
\(571\) | −3.59997 | + | 11.0796i | −0.150654 | + | 0.463665i | −0.997695 | − | 0.0678630i | \(-0.978382\pi\) |
0.847041 | + | 0.531528i | \(0.178382\pi\) | |||||||
\(572\) | 7.55030 | + | 8.38546i | 0.315694 | + | 0.350614i | ||||
\(573\) | 1.77153 | + | 16.8549i | 0.0740066 | + | 0.704125i | ||||
\(574\) | −2.02244 | − | 3.50297i | −0.0844151 | − | 0.146211i | ||||
\(575\) | 7.32855 | + | 3.61714i | 0.305622 | + | 0.150845i | ||||
\(576\) | 1.26439 | + | 2.18999i | 0.0526829 | + | 0.0912495i | ||||
\(577\) | −19.9800 | + | 14.5163i | −0.831776 | + | 0.604321i | −0.920061 | − | 0.391774i | \(-0.871861\pi\) |
0.0882851 | + | 0.996095i | \(0.471861\pi\) | |||||||
\(578\) | −5.23550 | + | 16.1132i | −0.217768 | + | 0.670221i | ||||
\(579\) | −0.379948 | + | 0.0807605i | −0.0157901 | + | 0.00335629i | ||||
\(580\) | −2.56239 | + | 1.08057i | −0.106397 | + | 0.0448680i | ||||
\(581\) | −0.222476 | − | 0.684711i | −0.00922986 | − | 0.0284066i | ||||
\(582\) | 4.41642 | 0.183066 | ||||||||
\(583\) | −13.6543 | + | 15.1646i | −0.565504 | + | 0.628055i | ||||
\(584\) | 3.87873 | − | 1.72692i | 0.160503 | − | 0.0714606i | ||||
\(585\) | −33.1767 | − | 7.74168i | −1.37169 | − | 0.320079i | ||||
\(586\) | 1.32633 | + | 12.6192i | 0.0547903 | + | 0.521295i | ||||
\(587\) | −8.08610 | + | 3.60016i | −0.333749 | + | 0.148595i | −0.566768 | − | 0.823878i | \(-0.691806\pi\) |
0.233019 | + | 0.972472i | \(0.425140\pi\) | |||||||
\(588\) | −9.97253 | − | 7.24546i | −0.411260 | − | 0.298798i | ||||
\(589\) | −12.4143 | − | 16.1070i | −0.511520 | − | 0.663677i | ||||
\(590\) | 12.0066 | + | 21.7812i | 0.494305 | + | 0.896717i | ||||
\(591\) | −7.27921 | + | 3.24092i | −0.299427 | + | 0.133313i | ||||
\(592\) | 11.1442 | + | 2.36878i | 0.458025 | + | 0.0973563i | ||||
\(593\) | −11.9349 | − | 20.6718i | −0.490108 | − | 0.848891i | 0.509828 | − | 0.860277i | \(-0.329709\pi\) |
−0.999935 | + | 0.0113854i | \(0.996376\pi\) | |||||||
\(594\) | 6.95262 | + | 1.47783i | 0.285270 | + | 0.0606359i | ||||
\(595\) | 2.61038 | + | 0.609123i | 0.107015 | + | 0.0249716i | ||||
\(596\) | 6.08810 | − | 18.7373i | 0.249378 | − | 0.767508i | ||||
\(597\) | 4.88312 | − | 15.0287i | 0.199853 | − | 0.615084i | ||||
\(598\) | 8.99644 | + | 4.00547i | 0.367892 | + | 0.163796i | ||||
\(599\) | 18.8292 | + | 32.6131i | 0.769339 | + | 1.33254i | 0.937922 | + | 0.346847i | \(0.112748\pi\) |
−0.168582 | + | 0.985688i | \(0.553919\pi\) | |||||||
\(600\) | −1.83250 | + | 2.90215i | −0.0748115 | + | 0.118480i | ||||
\(601\) | 3.88505 | 0.158474 | 0.0792372 | − | 0.996856i | \(-0.474752\pi\) | ||||
0.0792372 | + | 0.996856i | \(0.474752\pi\) | |||||||
\(602\) | 5.83143 | + | 2.59632i | 0.237671 | + | 0.105818i | ||||
\(603\) | −14.0660 | − | 15.6218i | −0.572810 | − | 0.636170i | ||||
\(604\) | 15.5640 | − | 3.30823i | 0.633290 | − | 0.134610i | ||||
\(605\) | 5.49168 | − | 15.8280i | 0.223268 | − | 0.643498i | ||||
\(606\) | −6.02085 | − | 1.27977i | −0.244580 | − | 0.0519872i | ||||
\(607\) | −1.78383 | −0.0724036 | −0.0362018 | − | 0.999345i | \(-0.511526\pi\) | ||||
−0.0362018 | + | 0.999345i | \(0.511526\pi\) | |||||||
\(608\) | −3.32059 | − | 2.82377i | −0.134668 | − | 0.114519i | ||||
\(609\) | −3.45039 | − | 2.50686i | −0.139817 | − | 0.101583i | ||||
\(610\) | −1.63719 | + | 4.71867i | −0.0662880 | + | 0.191054i | ||||
\(611\) | −5.47571 | − | 52.0979i | −0.221524 | − | 2.10766i | ||||
\(612\) | 0.0634279 | − | 0.603476i | 0.00256392 | − | 0.0243941i | ||||
\(613\) | 7.61468 | − | 3.39027i | 0.307554 | − | 0.136932i | −0.247156 | − | 0.968976i | \(-0.579496\pi\) |
0.554710 | + | 0.832044i | \(0.312829\pi\) | |||||||
\(614\) | −5.80288 | − | 2.58361i | −0.234185 | − | 0.104266i | ||||
\(615\) | −1.12514 | − | 0.527884i | −0.0453698 | − | 0.0212863i | ||||
\(616\) | −7.56933 | − | 5.49944i | −0.304977 | − | 0.221579i | ||||
\(617\) | −20.7969 | + | 23.0973i | −0.837253 | + | 0.929863i | −0.998370 | − | 0.0570719i | \(-0.981824\pi\) |
0.161117 | + | 0.986935i | \(0.448490\pi\) | |||||||
\(618\) | 0.783988 | + | 1.35791i | 0.0315366 | + | 0.0546230i | ||||
\(619\) | −2.85906 | − | 8.79927i | −0.114915 | − | 0.353673i | 0.877014 | − | 0.480465i | \(-0.159532\pi\) |
−0.991929 | + | 0.126792i | \(0.959532\pi\) | |||||||
\(620\) | −5.03611 | − | 9.13599i | −0.202255 | − | 0.366910i | ||||
\(621\) | 6.06786 | − | 1.28976i | 0.243495 | − | 0.0517564i | ||||
\(622\) | 4.36204 | + | 4.84453i | 0.174902 | + | 0.194248i | ||||
\(623\) | −23.4483 | − | 10.4399i | −0.939436 | − | 0.418264i | ||||
\(624\) | −2.06791 | + | 3.58173i | −0.0827828 | + | 0.143384i | ||||
\(625\) | 24.9216 | + | 1.97845i | 0.996864 | + | 0.0791378i | ||||
\(626\) | 22.0777 | 0.882404 | ||||||||
\(627\) | −5.55440 | + | 0.743361i | −0.221821 | + | 0.0296870i | ||||
\(628\) | 5.62974 | − | 17.3265i | 0.224651 | − | 0.691404i | ||||
\(629\) | −1.82933 | − | 2.03167i | −0.0729401 | − | 0.0810082i | ||||
\(630\) | 28.2428 | + | 0.559426i | 1.12522 | + | 0.0222881i | ||||
\(631\) | 0.0582766 | − | 0.0647227i | 0.00231995 | − | 0.00257657i | −0.741984 | − | 0.670418i | \(-0.766115\pi\) |
0.744304 | + | 0.667841i | \(0.232782\pi\) | |||||||
\(632\) | 4.22161 | − | 7.31205i | 0.167927 | − | 0.290858i | ||||
\(633\) | −9.15855 | + | 10.1716i | −0.364020 | + | 0.404285i | ||||
\(634\) | −5.60757 | − | 4.07414i | −0.222705 | − | 0.161805i | ||||
\(635\) | 17.1221 | + | 8.03327i | 0.679472 | + | 0.318790i | ||||
\(636\) | −6.83279 | − | 3.04216i | −0.270938 | − | 0.120629i | ||||
\(637\) | −11.3089 | + | 107.597i | −0.448075 | + | 4.26315i | ||||
\(638\) | −1.88435 | − | 1.36906i | −0.0746023 | − | 0.0542018i | ||||
\(639\) | 32.5385 | − | 23.6406i | 1.28720 | − | 0.935207i | ||||
\(640\) | −1.46302 | − | 1.69103i | −0.0578309 | − | 0.0668437i | ||||
\(641\) | 25.4979 | − | 11.3524i | 1.00711 | − | 0.448393i | 0.164186 | − | 0.986429i | \(-0.447500\pi\) |
0.842922 | + | 0.538036i | \(0.180834\pi\) | |||||||
\(642\) | 1.73827 | − | 1.93054i | 0.0686040 | − | 0.0761925i | ||||
\(643\) | −3.28142 | + | 5.68358i | −0.129406 | + | 0.224138i | −0.923447 | − | 0.383727i | \(-0.874641\pi\) |
0.794040 | + | 0.607865i | \(0.207974\pi\) | |||||||
\(644\) | −7.98714 | − | 1.69772i | −0.314737 | − | 0.0668995i | ||||
\(645\) | 1.92614 | − | 0.369705i | 0.0758419 | − | 0.0145571i | ||||
\(646\) | 0.246351 | + | 1.01653i | 0.00969256 | + | 0.0399947i | ||||
\(647\) | 2.87461 | − | 8.84713i | 0.113012 | − | 0.347816i | −0.878515 | − | 0.477715i | \(-0.841465\pi\) |
0.991527 | + | 0.129899i | \(0.0414652\pi\) | |||||||
\(648\) | −0.520663 | − | 4.95378i | −0.0204536 | − | 0.194603i | ||||
\(649\) | −10.4156 | + | 18.0404i | −0.408849 | + | 0.708147i | ||||
\(650\) | 30.1009 | + | 1.19293i | 1.18065 | + | 0.0467906i | ||||
\(651\) | 7.99955 | − | 13.8556i | 0.313527 | − | 0.543045i | ||||
\(652\) | 2.34121 | + | 1.04237i | 0.0916889 | + | 0.0408225i | ||||
\(653\) | 3.20926 | − | 9.87709i | 0.125588 | − | 0.386520i | −0.868420 | − | 0.495830i | \(-0.834864\pi\) |
0.994008 | + | 0.109310i | \(0.0348640\pi\) | |||||||
\(654\) | −3.47981 | + | 10.7098i | −0.136071 | + | 0.418785i | ||||
\(655\) | 22.6946 | + | 5.29571i | 0.886751 | + | 0.206920i | ||||
\(656\) | 0.541777 | − | 0.601704i | 0.0211528 | − | 0.0234926i | ||||
\(657\) | −10.7367 | −0.418878 | ||||||||
\(658\) | 13.4225 | + | 41.3103i | 0.523265 | + | 1.61044i | ||||
\(659\) | −2.42759 | + | 23.0970i | −0.0945655 | + | 0.899731i | 0.839676 | + | 0.543088i | \(0.182745\pi\) |
−0.934241 | + | 0.356642i | \(0.883922\pi\) | |||||||
\(660\) | −2.87419 | − | 0.0569312i | −0.111878 | − | 0.00221604i | ||||
\(661\) | 9.41718 | + | 4.19280i | 0.366286 | + | 0.163081i | 0.581622 | − | 0.813459i | \(-0.302418\pi\) |
−0.215336 | + | 0.976540i | \(0.569085\pi\) | |||||||
\(662\) | 7.10410 | − | 3.16295i | 0.276109 | − | 0.122931i | ||||
\(663\) | 0.906625 | − | 0.403655i | 0.0352104 | − | 0.0156767i | ||||
\(664\) | 0.116590 | − | 0.0847077i | 0.00452457 | − | 0.00328730i | ||||
\(665\) | −46.1791 | + | 15.4406i | −1.79075 | + | 0.598760i | ||||
\(666\) | −23.3085 | − | 16.9346i | −0.903186 | − | 0.656203i | ||||
\(667\) | −1.98837 | − | 0.422640i | −0.0769899 | − | 0.0163647i | ||||
\(668\) | −8.39447 | + | 14.5396i | −0.324792 | + | 0.562556i | ||||
\(669\) | 5.75287 | − | 6.38921i | 0.222419 | − | 0.247021i | ||||
\(670\) | 14.8187 | + | 11.2214i | 0.572496 | + | 0.433521i | ||||
\(671\) | −4.09190 | + | 0.869761i | −0.157966 | + | 0.0335767i | ||||
\(672\) | 1.05972 | − | 3.26148i | 0.0408796 | − | 0.125814i | ||||
\(673\) | 33.7987 | − | 24.5562i | 1.30284 | − | 0.946571i | 0.302864 | − | 0.953034i | \(-0.402057\pi\) |
0.999979 | + | 0.00646274i | \(0.00205717\pi\) | |||||||
\(674\) | 10.1854 | + | 17.6416i | 0.392327 | + | 0.679530i | ||||
\(675\) | 15.7818 | − | 10.5373i | 0.607442 | − | 0.405581i | ||||
\(676\) | 23.2995 | 0.896135 | ||||||||
\(677\) | 19.2910 | − | 14.0157i | 0.741413 | − | 0.538668i | −0.151740 | − | 0.988420i | \(-0.548488\pi\) |
0.893153 | + | 0.449752i | \(0.148488\pi\) | |||||||
\(678\) | −7.72882 | + | 1.64281i | −0.296824 | + | 0.0630918i | ||||
\(679\) | 21.5063 | + | 23.8852i | 0.825336 | + | 0.916628i | ||||
\(680\) | 0.0455072 | + | 0.534629i | 0.00174512 | + | 0.0205021i | ||||
\(681\) | −1.05979 | − | 0.225266i | −0.0406113 | − | 0.00863220i | ||||
\(682\) | 4.36877 | − | 7.56694i | 0.167289 | − | 0.289753i | ||||
\(683\) | −8.48753 | − | 26.1219i | −0.324766 | − | 0.999528i | −0.971546 | − | 0.236851i | \(-0.923885\pi\) |
0.646780 | − | 0.762677i | \(-0.276115\pi\) | |||||||
\(684\) | 4.76670 | + | 9.93873i | 0.182259 | + | 0.380017i | ||||
\(685\) | 0.235740 | − | 1.88332i | 0.00900717 | − | 0.0719580i | ||||
\(686\) | −5.72171 | − | 54.4384i | −0.218456 | − | 2.07847i | ||||
\(687\) | 2.29121 | − | 1.02011i | 0.0874152 | − | 0.0389198i | ||||
\(688\) | −0.133562 | + | 1.27076i | −0.00509200 | + | 0.0484471i | ||||
\(689\) | 6.86184 | + | 65.2861i | 0.261415 | + | 2.48720i | ||||
\(690\) | −2.31177 | + | 0.974879i | −0.0880077 | + | 0.0371130i | ||||
\(691\) | 1.01891 | + | 0.740279i | 0.0387611 | + | 0.0281616i | 0.606997 | − | 0.794704i | \(-0.292374\pi\) |
−0.568236 | + | 0.822866i | \(0.692374\pi\) | |||||||
\(692\) | −1.35695 | − | 4.17626i | −0.0515835 | − | 0.158758i | ||||
\(693\) | 11.8299 | + | 20.4900i | 0.449380 | + | 0.778349i | ||||
\(694\) | −24.0765 | + | 26.7397i | −0.913932 | + | 1.01502i | ||||
\(695\) | 6.63448 | + | 3.11272i | 0.251660 | + | 0.118072i | ||||
\(696\) | 0.263813 | − | 0.811934i | 0.00999982 | − | 0.0307763i | ||||
\(697\) | −0.190042 | + | 0.0403946i | −0.00719834 | + | 0.00153005i | ||||
\(698\) | −2.99370 | − | 28.4831i | −0.113313 | − | 1.07810i | ||||
\(699\) | 0.146726 | + | 0.254137i | 0.00554969 | + | 0.00961234i | ||||
\(700\) | −24.6192 | + | 4.22172i | −0.930517 | + | 0.159566i | ||||
\(701\) | 8.38832 | − | 14.5290i | 0.316822 | − | 0.548752i | −0.663001 | − | 0.748619i | \(-0.730717\pi\) |
0.979823 | + | 0.199866i | \(0.0640508\pi\) | |||||||
\(702\) | 18.4991 | − | 13.4403i | 0.698202 | − | 0.507273i | ||||
\(703\) | 47.6469 | + | 14.0027i | 1.79704 | + | 0.528121i | ||||
\(704\) | 0.578742 | − | 1.78119i | 0.0218122 | − | 0.0671310i | ||||
\(705\) | 10.6397 | + | 8.05690i | 0.400715 | + | 0.303440i | ||||
\(706\) | −25.5385 | − | 5.42838i | −0.961154 | − | 0.204300i | ||||
\(707\) | −22.3979 | − | 38.7944i | −0.842362 | − | 1.45901i | ||||
\(708\) | −7.46842 | − | 1.58746i | −0.280680 | − | 0.0596605i | ||||
\(709\) | −2.04149 | + | 19.4235i | −0.0766699 | + | 0.729465i | 0.886892 | + | 0.461978i | \(0.152860\pi\) |
−0.963561 | + | 0.267487i | \(0.913807\pi\) | |||||||
\(710\) | −24.3159 | + | 25.9529i | −0.912558 | + | 0.973996i | ||||
\(711\) | −17.2734 | + | 12.5498i | −0.647802 | + | 0.470656i | ||||
\(712\) | 0.537055 | − | 5.10974i | 0.0201270 | − | 0.191496i | ||||
\(713\) | 0.797097 | − | 7.58387i | 0.0298515 | − | 0.284018i | ||||
\(714\) | −0.665735 | + | 0.483685i | −0.0249145 | + | 0.0181014i | ||||
\(715\) | 12.1804 | + | 22.0964i | 0.455521 | + | 0.826360i | ||||
\(716\) | 0.891620 | − | 8.48320i | 0.0333214 | − | 0.317032i | ||||
\(717\) | −17.5495 | − | 3.73025i | −0.655397 | − | 0.139309i | ||||
\(718\) | −11.6404 | − | 20.1618i | −0.434417 | − | 0.752432i | ||||
\(719\) | 11.6455 | + | 2.47532i | 0.434303 | + | 0.0923140i | 0.419875 | − | 0.907582i | \(-0.362074\pi\) |
0.0144282 | + | 0.999896i | \(0.495407\pi\) | |||||||
\(720\) | 1.64050 | + | 5.41132i | 0.0611378 | + | 0.201668i | ||||
\(721\) | −3.52620 | + | 10.8525i | −0.131322 | + | 0.404169i | ||||
\(722\) | −13.4925 | − | 13.3773i | −0.502138 | − | 0.497853i | ||||
\(723\) | 11.7709 | − | 8.55207i | 0.437765 | − | 0.318055i | ||||
\(724\) | −8.34488 | + | 14.4537i | −0.310135 | + | 0.537169i | ||||
\(725\) | −6.12885 | + | 1.05098i | −0.227620 | + | 0.0390325i | ||||
\(726\) | 2.57161 | + | 4.45416i | 0.0954414 | + | 0.165309i | ||||
\(727\) | 0.967660 | + | 9.20667i | 0.0358885 | + | 0.341456i | 0.997702 | + | 0.0677515i | \(0.0215825\pi\) |
−0.961814 | + | 0.273705i | \(0.911751\pi\) | |||||||
\(728\) | −29.4409 | + | 6.25786i | −1.09115 | + | 0.231932i | ||||
\(729\) | −1.47716 | + | 4.54623i | −0.0547096 | + | 0.168379i | ||||
\(730\) | 9.32370 | − | 1.78960i | 0.345086 | − | 0.0662360i | ||||
\(731\) | 0.205160 | − | 0.227854i | 0.00758813 | − | 0.00842747i | ||||
\(732\) | −0.766655 | − | 1.32789i | −0.0283364 | − | 0.0490801i | ||||
\(733\) | −1.86730 | − | 5.74696i | −0.0689703 | − | 0.212269i | 0.910631 | − | 0.413221i | \(-0.135596\pi\) |
−0.979601 | + | 0.200952i | \(0.935596\pi\) | |||||||
\(734\) | 0.818567 | + | 0.594724i | 0.0302139 | + | 0.0219517i | ||||
\(735\) | −18.0342 | − | 20.8448i | −0.665203 | − | 0.768873i | ||||
\(736\) | −0.170854 | − | 1.62556i | −0.00629775 | − | 0.0599191i | ||||
\(737\) | −1.62737 | + | 15.4834i | −0.0599448 | + | 0.570337i | ||||
\(738\) | −1.87047 | + | 0.832787i | −0.0688529 | + | 0.0306553i | ||||
\(739\) | −2.04460 | − | 19.4531i | −0.0752119 | − | 0.715593i | −0.965537 | − | 0.260267i | \(-0.916189\pi\) |
0.890325 | − | 0.455326i | \(-0.150477\pi\) | |||||||
\(740\) | 23.0637 | + | 10.8209i | 0.847838 | + | 0.397784i | ||||
\(741\) | −10.1791 | + | 14.8789i | −0.373939 | + | 0.546590i | ||||
\(742\) | −16.8204 | − | 51.7677i | −0.617494 | − | 1.90045i | ||||
\(743\) | −6.43450 | + | 11.1449i | −0.236059 | + | 0.408866i | −0.959580 | − | 0.281437i | \(-0.909189\pi\) |
0.723521 | + | 0.690302i | \(0.242522\pi\) | |||||||
\(744\) | 3.13259 | + | 0.665852i | 0.114846 | + | 0.0244113i | ||||
\(745\) | 22.7782 | − | 37.7081i | 0.834529 | − | 1.38152i | ||||
\(746\) | 0.109739 | + | 0.121878i | 0.00401784 | + | 0.00446226i | ||||
\(747\) | −0.356467 | + | 0.0757694i | −0.0130424 | + | 0.00277226i | ||||
\(748\) | −0.363576 | + | 0.264153i | −0.0132937 | + | 0.00965841i | ||||
\(749\) | 18.9056 | 0.690796 | ||||||||
\(750\) | −5.46506 | + | 5.38848i | −0.199556 | + | 0.196759i | ||||
\(751\) | 25.3130 | + | 43.8434i | 0.923684 | + | 1.59987i | 0.793665 | + | 0.608355i | \(0.208170\pi\) |
0.130019 | + | 0.991512i | \(0.458496\pi\) | |||||||
\(752\) | −7.03418 | + | 5.11063i | −0.256510 | + | 0.186365i | ||||
\(753\) | −5.67345 | + | 17.4611i | −0.206752 | + | 0.636317i | ||||
\(754\) | −7.32921 | + | 1.55787i | −0.266914 | + | 0.0567343i | ||||
\(755\) | 35.5727 | + | 0.704615i | 1.29462 | + | 0.0256436i | ||||
\(756\) | −12.6867 | + | 14.0900i | −0.461411 | + | 0.512449i | ||||
\(757\) | −3.50209 | + | 6.06581i | −0.127286 | + | 0.220465i | −0.922624 | − | 0.385700i | \(-0.873960\pi\) |
0.795338 | + | 0.606166i | \(0.207293\pi\) | |||||||
\(758\) | 17.1960 | + | 3.65512i | 0.624586 | + | 0.132760i | ||||
\(759\) | −1.70005 | − | 1.23516i | −0.0617080 | − | 0.0448335i | ||||
\(760\) | −5.79598 | − | 7.83624i | −0.210242 | − | 0.284250i | ||||
\(761\) | −1.68639 | + | 1.22523i | −0.0611315 | + | 0.0444146i | −0.617931 | − | 0.786232i | \(-0.712029\pi\) |
0.556800 | + | 0.830647i | \(0.312029\pi\) | |||||||
\(762\) | −5.30417 | + | 2.36157i | −0.192150 | + | 0.0855506i | ||||
\(763\) | −74.8666 | + | 33.3328i | −2.71035 | + | 1.20673i | ||||
\(764\) | −22.5544 | − | 10.0419i | −0.815989 | − | 0.363302i | ||||
\(765\) | 0.444762 | − | 1.28188i | 0.0160804 | − | 0.0463465i | ||||
\(766\) | 0.143668 | − | 1.36691i | 0.00519093 | − | 0.0493884i | ||||
\(767\) | 20.7083 | + | 63.7337i | 0.747734 | + | 2.30129i | ||||
\(768\) | 0.686455 | 0.0247703 | ||||||||
\(769\) | −29.3957 | + | 32.6472i | −1.06004 | + | 1.17729i | −0.0764088 | + | 0.997077i | \(0.524345\pi\) |
−0.983628 | + | 0.180213i | \(0.942321\pi\) | |||||||
\(770\) | −13.6883 | − | 15.8216i | −0.493292 | − | 0.570171i | ||||
\(771\) | 5.28084 | − | 16.2527i | 0.190185 | − | 0.585328i | ||||
\(772\) | 0.174860 | − | 0.538163i | 0.00629334 | − | 0.0193689i | ||||
\(773\) | 33.7464 | + | 15.0249i | 1.21377 | + | 0.540407i | 0.910901 | − | 0.412624i | \(-0.135388\pi\) |
0.302872 | + | 0.953031i | \(0.402054\pi\) | |||||||
\(774\) | 1.61558 | − | 2.79827i | 0.0580709 | − | 0.100582i | ||||
\(775\) | −6.32422 | − | 22.4532i | −0.227173 | − | 0.806544i | ||||
\(776\) | −3.21683 | + | 5.57171i | −0.115477 | + | 0.200013i | ||||
\(777\) | 4.08403 | + | 38.8570i | 0.146514 | + | 1.39399i | ||||
\(778\) | −6.88246 | + | 21.1820i | −0.246748 | + | 0.759412i | ||||
\(779\) | 2.55484 | − | 2.43488i | 0.0915366 | − | 0.0872385i | ||||
\(780\) | −6.32301 | + | 6.74870i | −0.226400 | + | 0.241642i | ||||
\(781\) | −29.1364 | − | 6.19313i | −1.04258 | − | 0.221608i | ||||
\(782\) | −0.196108 | + | 0.339669i | −0.00701280 | + | 0.0121465i | ||||
\(783\) | −3.15831 | + | 3.50766i | −0.112869 | + | 0.125353i | ||||
\(784\) | 16.4046 | − | 7.30380i | 0.585878 | − | 0.260850i | ||||
\(785\) | 21.0632 | − | 34.8691i | 0.751780 | − | 1.24453i | ||||
\(786\) | −5.78789 | + | 4.20515i | −0.206447 | + | 0.149993i | ||||
\(787\) | −23.5715 | − | 17.1257i | −0.840232 | − | 0.610465i | 0.0822032 | − | 0.996616i | \(-0.473804\pi\) |
−0.922436 | + | 0.386151i | \(0.873804\pi\) | |||||||
\(788\) | 1.21332 | − | 11.5440i | 0.0432229 | − | 0.411238i | ||||
\(789\) | 10.7831 | + | 4.80096i | 0.383890 | + | 0.170919i | ||||
\(790\) | 12.9083 | − | 13.7774i | 0.459257 | − | 0.490177i | ||||
\(791\) | −46.5212 | − | 33.7997i | −1.65410 | − | 1.20178i | ||||
\(792\) | −3.16902 | + | 3.51955i | −0.112606 | + | 0.125062i | ||||
\(793\) | −6.72881 | + | 11.6546i | −0.238947 | + | 0.413869i | ||||
\(794\) | −9.73646 | + | 10.8134i | −0.345534 | + | 0.383754i | ||||
\(795\) | −13.3331 | − | 10.0964i | −0.472875 | − | 0.358084i | ||||
\(796\) | 15.4033 | + | 17.1071i | 0.545956 | + | 0.606345i | ||||
\(797\) | −3.22650 | + | 9.93015i | −0.114289 | + | 0.351744i | −0.991798 | − | 0.127815i | \(-0.959203\pi\) |
0.877509 | + | 0.479559i | \(0.159203\pi\) | |||||||
\(798\) | 5.69078 | − | 13.8225i | 0.201452 | − | 0.489310i | ||||
\(799\) | 2.08637 | 0.0738103 | ||||||||
\(800\) | −2.32657 | − | 4.42573i | −0.0822565 | − | 0.156473i | ||||
\(801\) | −6.49629 | + | 11.2519i | −0.229535 | + | 0.397566i | ||||
\(802\) | 8.74581 | + | 3.89388i | 0.308825 | + | 0.137498i | ||||
\(803\) | 5.32076 | + | 5.90930i | 0.187765 | + | 0.208535i | ||||
\(804\) | −5.58167 | + | 1.18642i | −0.196850 | + | 0.0418418i | ||||
\(805\) | −16.5299 | − | 7.75539i | −0.582602 | − | 0.273342i | ||||
\(806\) | −8.68599 | − | 26.7327i | −0.305951 | − | 0.941620i | ||||
\(807\) | −6.80345 | − | 11.7839i | −0.239493 | − | 0.414814i | ||||
\(808\) | 6.00002 | − | 6.66369i | 0.211080 | − | 0.234428i | ||||
\(809\) | −17.2575 | − | 12.5383i | −0.606740 | − | 0.440822i | 0.241525 | − | 0.970395i | \(-0.422352\pi\) |
−0.848265 | + | 0.529572i | \(0.822352\pi\) | |||||||
\(810\) | 1.38338 | − | 11.0518i | 0.0486069 | − | 0.388319i | ||||
\(811\) | −33.5504 | − | 14.9376i | −1.17811 | − | 0.524530i | −0.278168 | − | 0.960533i | \(-0.589727\pi\) |
−0.899945 | + | 0.436003i | \(0.856394\pi\) | |||||||
\(812\) | 5.67583 | − | 2.52704i | 0.199182 | − | 0.0886817i | ||||
\(813\) | −0.231009 | + | 2.19790i | −0.00810184 | + | 0.0770838i | ||||
\(814\) | 2.23040 | + | 21.2209i | 0.0781756 | + | 0.743791i | ||||
\(815\) | 4.56849 | + | 3.45948i | 0.160027 | + | 0.121180i | ||||
\(816\) | −0.133261 | − | 0.0968201i | −0.00466508 | − | 0.00338938i | ||||
\(817\) | −1.00324 | + | 5.47851i | −0.0350991 | + | 0.191669i | ||||
\(818\) | −17.2359 | −0.602638 | ||||||||
\(819\) | 74.4496 | + | 15.8248i | 2.60148 | + | 0.552962i | ||||
\(820\) | 1.48550 | − | 1.03496i | 0.0518759 | − | 0.0361424i | ||||
\(821\) | 21.6683 | − | 4.60574i | 0.756228 | − | 0.160741i | 0.186365 | − | 0.982481i | \(-0.440329\pi\) |
0.569864 | + | 0.821739i | \(0.306996\pi\) | |||||||
\(822\) | 0.389887 | + | 0.433013i | 0.0135989 | + | 0.0151031i | ||||
\(823\) | 33.4158 | + | 14.8777i | 1.16480 | + | 0.518602i | 0.895765 | − | 0.444528i | \(-0.146629\pi\) |
0.269035 | + | 0.963130i | \(0.413295\pi\) | |||||||
\(824\) | −2.28416 | −0.0795726 | ||||||||
\(825\) | −6.22981 | − | 1.58443i | −0.216894 | − | 0.0551627i | ||||
\(826\) | −27.7830 | − | 48.1216i | −0.966694 | − | 1.67436i | ||||
\(827\) | 19.4932 | + | 8.67891i | 0.677843 | + | 0.301795i | 0.716631 | − | 0.697452i | \(-0.245683\pi\) |
−0.0387880 | + | 0.999247i | \(0.512350\pi\) | |||||||
\(828\) | −1.27727 | + | 3.93104i | −0.0443883 | + | 0.136613i | ||||
\(829\) | −8.78493 | + | 27.0372i | −0.305113 | + | 0.939042i | 0.674522 | + | 0.738255i | \(0.264350\pi\) |
−0.979635 | + | 0.200787i | \(0.935650\pi\) | |||||||
\(830\) | 0.296925 | − | 0.125214i | 0.0103064 | − | 0.00434624i | ||||
\(831\) | 13.9221 | + | 2.95923i | 0.482952 | + | 0.102655i | ||||
\(832\) | −3.01245 | − | 5.21772i | −0.104438 | − | 0.180892i | ||||
\(833\) | −4.21478 | − | 0.895878i | −0.146033 | − | 0.0310403i | ||||
\(834\) | −2.05526 | + | 0.915059i | −0.0711677 | + | 0.0316859i | ||||
\(835\) | −25.6675 | + | 27.3956i | −0.888262 | + | 0.948064i | ||||
\(836\) | 3.10789 | − | 7.54882i | 0.107489 | − | 0.261082i | ||||
\(837\) | −14.3247 | − | 10.4075i | −0.495134 | − | 0.359736i | ||||
\(838\) | −25.8405 | + | 11.5049i | −0.892647 | + | 0.397432i | ||||
\(839\) | 1.09228 | + | 10.3923i | 0.0377095 | + | 0.358782i | 0.997064 | + | 0.0765772i | \(0.0243992\pi\) |
−0.959354 | + | 0.282205i | \(0.908934\pi\) | |||||||
\(840\) | 3.96487 | − | 6.56363i | 0.136801 | − | 0.226467i | ||||
\(841\) | −25.0798 | + | 11.1663i | −0.864822 | + | 0.385044i | ||||
\(842\) | −6.65752 | + | 7.39392i | −0.229433 | + | 0.254811i | ||||
\(843\) | 4.89508 | 0.168595 | ||||||||
\(844\) | −6.16149 | − | 18.9631i | −0.212087 | − | 0.652738i | ||||
\(845\) | 50.7363 | + | 11.8391i | 1.74538 | + | 0.407279i | ||||
\(846\) | 21.5066 | − | 4.57136i | 0.739411 | − | 0.157167i | ||||
\(847\) | −11.5665 | + | 35.5980i | −0.397430 | + | 1.22316i | ||||
\(848\) | 8.81482 | − | 6.40434i | 0.302702 | − | 0.219926i | ||||
\(849\) | −1.43203 | − | 2.48035i | −0.0491471 | − | 0.0851253i | ||||
\(850\) | −0.172565 | + | 1.18731i | −0.00591893 | + | 0.0407245i | ||||
\(851\) | 9.31121 | + | 16.1275i | 0.319184 | + | 0.552843i | ||||
\(852\) | −1.14124 | − | 10.8581i | −0.0390981 | − | 0.371994i | ||||
\(853\) | 27.7551 | + | 30.8251i | 0.950315 | + | 1.05543i | 0.998398 | + | 0.0565886i | \(0.0180223\pi\) |
−0.0480823 | + | 0.998843i | \(0.515311\pi\) | |||||||
\(854\) | 3.44824 | − | 10.6126i | 0.117996 | − | 0.363155i | ||||
\(855\) | 5.32966 | + | 24.0644i | 0.182270 | + | 0.822984i | ||||
\(856\) | 1.16944 | + | 3.59915i | 0.0399705 | + | 0.123017i | ||||
\(857\) | −5.43215 | + | 9.40877i | −0.185559 | + | 0.321397i | −0.943765 | − | 0.330618i | \(-0.892743\pi\) |
0.758206 | + | 0.652015i | \(0.226076\pi\) | |||||||
\(858\) | −7.57652 | − | 1.61044i | −0.258658 | − | 0.0549795i | ||||
\(859\) | 4.47145 | − | 42.5430i | 0.152564 | − | 1.45155i | −0.603663 | − | 0.797240i | \(-0.706293\pi\) |
0.756227 | − | 0.654310i | \(-0.227041\pi\) | |||||||
\(860\) | −0.936548 | + | 2.69929i | −0.0319360 | + | 0.0920451i | ||||
\(861\) | 2.53658 | + | 1.12936i | 0.0864464 | + | 0.0384884i | ||||
\(862\) | 1.14375 | + | 0.830982i | 0.0389562 | + | 0.0283034i | ||||
\(863\) | −4.26290 | − | 3.09718i | −0.145111 | − | 0.105429i | 0.512861 | − | 0.858472i | \(-0.328586\pi\) |
−0.657972 | + | 0.753042i | \(0.728586\pi\) | |||||||
\(864\) | −3.46714 | − | 1.54367i | −0.117955 | − | 0.0525167i | ||||
\(865\) | −0.832773 | − | 9.78360i | −0.0283151 | − | 0.332652i | ||||
\(866\) | −9.48848 | − | 6.89379i | −0.322432 | − | 0.234260i | ||||
\(867\) | −3.59393 | − | 11.0610i | −0.122056 | − | 0.375651i | ||||
\(868\) | 11.6534 | + | 20.1843i | 0.395543 | + | 0.685100i | ||||
\(869\) | 15.4673 | + | 3.28769i | 0.524694 | + | 0.111527i | ||||
\(870\) | 0.987038 | − | 1.63399i | 0.0334637 | − | 0.0553975i | ||||
\(871\) | 33.5127 | + | 37.2196i | 1.13553 | + | 1.26114i | ||||
\(872\) | −10.9767 | − | 12.1909i | −0.371718 | − | 0.412835i | ||||
\(873\) | 13.1621 | − | 9.56285i | 0.445471 | − | 0.323654i | ||||
\(874\) | −0.201763 | − | 7.12185i | −0.00682473 | − | 0.240900i | ||||
\(875\) | −55.7551 | − | 3.31662i | −1.88487 | − | 0.112122i | ||||
\(876\) | −1.45728 | + | 2.52408i | −0.0492368 | + | 0.0852806i | ||||
\(877\) | −3.78853 | − | 36.0454i | −0.127929 | − | 1.21717i | −0.850539 | − | 0.525911i | \(-0.823724\pi\) |
0.722610 | − | 0.691256i | \(-0.242942\pi\) | |||||||
\(878\) | −16.7075 | + | 3.55129i | −0.563852 | + | 0.119850i | ||||
\(879\) | −5.82829 | − | 6.47297i | −0.196583 | − | 0.218328i | ||||
\(880\) | 2.16532 | − | 3.58458i | 0.0729930 | − | 0.120836i | ||||
\(881\) | 15.8877 | + | 48.8972i | 0.535269 | + | 1.64739i | 0.743067 | + | 0.669217i | \(0.233370\pi\) |
−0.207798 | + | 0.978172i | \(0.566630\pi\) | |||||||
\(882\) | −45.4095 | −1.52902 | ||||||||
\(883\) | −22.4693 | + | 24.9546i | −0.756151 | + | 0.839790i | −0.991225 | − | 0.132187i | \(-0.957800\pi\) |
0.235074 | + | 0.971977i | \(0.424467\pi\) | |||||||
\(884\) | −0.151119 | + | 1.43780i | −0.00508269 | + | 0.0483586i | ||||
\(885\) | −15.4564 | − | 7.25173i | −0.519560 | − | 0.243764i | ||||
\(886\) | 19.5381 | − | 14.1953i | 0.656396 | − | 0.476899i | ||||
\(887\) | 0.975221 | − | 9.27861i | 0.0327447 | − | 0.311545i | −0.965874 | − | 0.259011i | \(-0.916603\pi\) |
0.998619 | − | 0.0525343i | \(-0.0167299\pi\) | |||||||
\(888\) | −7.14477 | + | 3.18106i | −0.239763 | + | 0.106749i | ||||
\(889\) | −38.6013 | − | 17.1864i | −1.29465 | − | 0.576414i | ||||
\(890\) | 3.76588 | − | 10.8539i | 0.126233 | − | 0.363824i | ||||
\(891\) | 8.52227 | − | 3.79436i | 0.285507 | − | 0.127116i | ||||
\(892\) | 3.87030 | + | 11.9115i | 0.129587 | + | 0.398828i | ||||
\(893\) | −32.2721 | + | 19.8716i | −1.07994 | + | 0.664977i | ||||
\(894\) | 4.17921 | + | 12.8623i | 0.139774 | + | 0.430179i | ||||
\(895\) | 6.25212 | − | 18.0197i | 0.208985 | − | 0.602332i | ||||
\(896\) | 3.34278 | + | 3.71253i | 0.111674 | + | 0.124027i | ||||
\(897\) | −6.61237 | + | 1.40550i | −0.220780 | + | 0.0469283i | ||||
\(898\) | 0.158289 | + | 1.50602i | 0.00528218 | + | 0.0502566i | ||||
\(899\) | 2.90107 | + | 5.02481i | 0.0967562 | + | 0.167587i | ||||
\(900\) | 0.822655 | + | 12.6171i | 0.0274218 | + | 0.420570i | ||||
\(901\) | −2.61451 | −0.0871020 | ||||||||
\(902\) | 1.38530 | + | 0.616774i | 0.0461253 | + | 0.0205363i | ||||
\(903\) | −4.28609 | + | 0.911036i | −0.142632 | + | 0.0303174i | ||||
\(904\) | 3.55696 | − | 10.9472i | 0.118303 | − | 0.364099i | ||||
\(905\) | −25.5159 | + | 27.2338i | −0.848177 | + | 0.905281i | ||||
\(906\) | −7.30869 | + | 8.11713i | −0.242815 | + | 0.269673i | ||||
\(907\) | 15.4553 | − | 26.7694i | 0.513186 | − | 0.888865i | −0.486697 | − | 0.873571i | \(-0.661798\pi\) |
0.999883 | − | 0.0152937i | \(-0.00486833\pi\) | |||||||
\(908\) | 1.05612 | − | 1.17294i | 0.0350487 | − | 0.0389255i | ||||
\(909\) | −20.7149 | + | 9.22286i | −0.687069 | + | 0.305903i | ||||
\(910\) | −67.2894 | − | 1.33285i | −2.23062 | − | 0.0441836i | ||||
\(911\) | −7.73119 | + | 5.61704i | −0.256146 | + | 0.186101i | −0.708446 | − | 0.705765i | \(-0.750603\pi\) |
0.452300 | + | 0.891866i | \(0.350603\pi\) | |||||||
\(912\) | 2.98346 | + | 0.228373i | 0.0987923 | + | 0.00756217i | ||||
\(913\) | 0.218356 | + | 0.158645i | 0.00722652 | + | 0.00525037i | ||||
\(914\) | 0.686598 | + | 6.53254i | 0.0227106 | + | 0.216077i | ||||
\(915\) | −0.994708 | − | 3.28112i | −0.0328840 | − | 0.108471i | ||||
\(916\) | −0.381907 | + | 3.63360i | −0.0126186 | + | 0.120058i | ||||
\(917\) | −50.9274 | − | 10.8250i | −1.68177 | − | 0.357471i | ||||
\(918\) | 0.455351 | + | 0.788691i | 0.0150288 | + | 0.0260307i | ||||
\(919\) | −7.84657 | − | 24.1493i | −0.258835 | − | 0.796611i | −0.993050 | − | 0.117694i | \(-0.962450\pi\) |
0.734215 | − | 0.678917i | \(-0.237550\pi\) | |||||||
\(920\) | 0.453950 | − | 3.62659i | 0.0149663 | − | 0.119565i | ||||
\(921\) | 4.26511 | − | 0.906577i | 0.140540 | − | 0.0298727i | ||||
\(922\) | −14.3708 | + | 3.05460i | −0.473276 | + | 0.100598i | ||||
\(923\) | −77.5241 | + | 56.3246i | −2.55174 | + | 1.85395i | ||||
\(924\) | 6.42261 | 0.211288 | ||||||||
\(925\) | 44.7244 | + | 35.2826i | 1.47053 | + | 1.16008i | ||||
\(926\) | −1.68889 | + | 2.92525i | −0.0555005 | + | 0.0961297i | ||||
\(927\) | 5.27677 | + | 2.34937i | 0.173312 | + | 0.0771635i | ||||
\(928\) | 0.832172 | + | 0.924221i | 0.0273174 | + | 0.0303390i | ||||
\(929\) | −11.3310 | − | 12.5843i | −0.371757 | − | 0.412878i | 0.528017 | − | 0.849234i | \(-0.322936\pi\) |
−0.899774 | + | 0.436355i | \(0.856269\pi\) | |||||||
\(930\) | 6.48309 | + | 3.04170i | 0.212589 | + | 0.0997411i | ||||
\(931\) | 73.7273 | − | 26.2861i | 2.41631 | − | 0.861492i | ||||
\(932\) | −0.427489 | −0.0140029 | ||||||||
\(933\) | −4.37718 | − | 0.930399i | −0.143303 | − | 0.0304599i | ||||
\(934\) | 17.9892 | − | 8.00930i | 0.588624 | − | 0.262072i | ||||
\(935\) | −0.925936 | + | 0.390469i | −0.0302813 | + | 0.0127697i | ||||
\(936\) | 1.59256 | + | 15.1522i | 0.0520545 | + | 0.495265i | ||||
\(937\) | 4.68735 | − | 44.5971i | 0.153129 | − | 1.45693i | −0.600500 | − | 0.799625i | \(-0.705032\pi\) |
0.753629 | − | 0.657300i | \(-0.228302\pi\) | |||||||
\(938\) | −33.5971 | − | 24.4097i | −1.09699 | − | 0.797006i | ||||
\(939\) | −12.2610 | + | 8.90811i | −0.400121 | + | 0.290705i | ||||
\(940\) | −17.9143 | + | 7.55448i | −0.584299 | + | 0.246400i | ||||
\(941\) | 0.208291 | − | 1.98175i | 0.00679008 | − | 0.0646033i | −0.990602 | − | 0.136775i | \(-0.956326\pi\) |
0.997392 | + | 0.0721716i | \(0.0229929\pi\) | |||||||
\(942\) | 3.86456 | + | 11.8939i | 0.125914 | + | 0.387524i | ||||
\(943\) | 1.32343 | 0.0430967 | ||||||||
\(944\) | 7.44257 | − | 8.26582i | 0.242235 | − | 0.269029i | ||||
\(945\) | −34.7857 | + | 24.2355i | −1.13158 | + | 0.788381i | ||||
\(946\) | −2.34075 | + | 0.497542i | −0.0761044 | + | 0.0161765i | ||||
\(947\) | −14.6726 | − | 16.2956i | −0.476797 | − | 0.529536i | 0.455981 | − | 0.889990i | \(-0.349289\pi\) |
−0.932777 | + | 0.360453i | \(0.882622\pi\) | |||||||
\(948\) | 0.605836 | + | 5.76415i | 0.0196766 | + | 0.187211i | ||||
\(949\) | 25.5806 | 0.830380 | ||||||||
\(950\) | −8.63932 | − | 20.0091i | −0.280296 | − | 0.649179i | ||||
\(951\) | 4.75805 | 0.154290 | ||||||||
\(952\) | −0.125304 | − | 1.19219i | −0.00406114 | − | 0.0386391i | ||||
\(953\) | 4.96214 | + | 5.51102i | 0.160740 | + | 0.178519i | 0.818135 | − | 0.575027i | \(-0.195008\pi\) |
−0.657395 | + | 0.753546i | \(0.728342\pi\) | |||||||
\(954\) | −26.9508 | + | 5.72856i | −0.872564 | + | 0.185469i | ||||
\(955\) | −44.0112 | − | 33.3274i | −1.42417 | − | 1.07845i | ||||
\(956\) | 17.4887 | − | 19.4232i | 0.565626 | − | 0.628191i | ||||
\(957\) | 1.59888 | 0.0516846 | ||||||||
\(958\) | −10.0629 | − | 30.9704i | −0.325117 | − | 1.00061i | ||||
\(959\) | −0.443248 | + | 4.21722i | −0.0143132 | + | 0.136181i | ||||
\(960\) | 1.49480 | + | 0.348807i | 0.0482446 | + | 0.0112577i | ||||
\(961\) | 7.47068 | − | 5.42777i | 0.240990 | − | 0.175089i | ||||
\(962\) | 55.5334 | + | 40.3474i | 1.79047 | + | 1.30085i | ||||
\(963\) | 1.00032 | − | 9.51742i | 0.0322349 | − | 0.306695i | ||||
\(964\) | 2.21552 | + | 21.0792i | 0.0713570 | + | 0.678916i | ||||
\(965\) | 0.654226 | − | 1.08304i | 0.0210603 | − | 0.0348642i | ||||
\(966\) | 5.12070 | − | 2.27988i | 0.164756 | − | 0.0733540i | ||||
\(967\) | −5.65581 | − | 1.20218i | −0.181879 | − | 0.0386595i | 0.116072 | − | 0.993241i | \(-0.462970\pi\) |
−0.297951 | + | 0.954581i | \(0.596303\pi\) | |||||||
\(968\) | −7.49244 | −0.240816 | ||||||||
\(969\) | −0.546968 | − | 0.465132i | −0.0175712 | − | 0.0149422i | ||||
\(970\) | −9.83601 | + | 10.4982i | −0.315815 | + | 0.337078i | ||||
\(971\) | −33.7385 | − | 37.4704i | −1.08272 | − | 1.20248i | −0.978136 | − | 0.207968i | \(-0.933315\pi\) |
−0.104586 | − | 0.994516i | \(-0.533352\pi\) | |||||||
\(972\) | 9.90651 | + | 11.0023i | 0.317752 | + | 0.352899i | ||||
\(973\) | −14.9572 | − | 6.65938i | −0.479506 | − | 0.213490i | ||||
\(974\) | 9.78675 | − | 16.9511i | 0.313588 | − | 0.543150i | ||||
\(975\) | −17.1980 | + | 11.4829i | −0.550776 | + | 0.367746i | ||||
\(976\) | 2.23366 | 0.0714979 | ||||||||
\(977\) | 32.3696 | − | 23.5179i | 1.03559 | − | 0.752403i | 0.0661737 | − | 0.997808i | \(-0.478921\pi\) |
0.969421 | + | 0.245405i | \(0.0789209\pi\) | |||||||
\(978\) | −1.72079 | + | 0.365765i | −0.0550247 | + | 0.0116959i | ||||
\(979\) | 9.41221 | − | 2.00063i | 0.300816 | − | 0.0639403i | ||||
\(980\) | 39.4334 | − | 7.56887i | 1.25965 | − | 0.241779i | ||||
\(981\) | 12.8190 | + | 39.4528i | 0.409279 | + | 1.25963i | ||||
\(982\) | −4.84609 | − | 8.39368i | −0.154645 | − | 0.267853i | ||||
\(983\) | 17.3614 | + | 3.69028i | 0.553742 | + | 0.117702i | 0.476280 | − | 0.879294i | \(-0.341985\pi\) |
0.0774623 | + | 0.996995i | \(0.475318\pi\) | |||||||
\(984\) | −0.0580973 | + | 0.552759i | −0.00185208 | + | 0.0176213i | ||||
\(985\) | 8.50794 | − | 24.5213i | 0.271085 | − | 0.781315i | ||||
\(986\) | −0.0311940 | − | 0.296791i | −0.000993420 | − | 0.00945176i | ||||
\(987\) | −24.1225 | − | 17.5260i | −0.767827 | − | 0.557859i | ||||
\(988\) | −11.3568 | − | 23.6794i | −0.361309 | − | 0.753342i | ||||
\(989\) | −1.68964 | + | 1.22760i | −0.0537276 | + | 0.0390354i | ||||
\(990\) | −8.68914 | + | 6.05380i | −0.276159 | + | 0.192402i | ||||
\(991\) | 36.5040 | − | 16.2526i | 1.15959 | − | 0.516282i | 0.265473 | − | 0.964118i | \(-0.414472\pi\) |
0.894116 | + | 0.447836i | \(0.147805\pi\) | |||||||
\(992\) | −3.12175 | + | 3.46705i | −0.0991155 | + | 0.110079i | ||||
\(993\) | −2.66908 | + | 4.62298i | −0.0847006 | + | 0.146706i | ||||
\(994\) | 53.1663 | − | 59.0471i | 1.68633 | − | 1.87286i | ||||
\(995\) | 24.8491 | + | 45.0788i | 0.787771 | + | 1.42909i | ||||
\(996\) | −0.0305702 | + | 0.0940855i | −0.000968655 | + | 0.00298121i | ||||
\(997\) | −29.2961 | + | 6.22708i | −0.927816 | + | 0.197213i | −0.646949 | − | 0.762533i | \(-0.723955\pi\) |
−0.280867 | + | 0.959747i | \(0.590622\pi\) | |||||||
\(998\) | 33.5383 | + | 14.9322i | 1.06164 | + | 0.472671i | ||||
\(999\) | 43.2402 | 1.36806 |
(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 | 950.2.r.b.11.16 | ✓ | 200 | |
19.7 | even | 3 | inner | 950.2.r.b.311.10 | yes | 200 | |
25.16 | even | 5 | inner | 950.2.r.b.391.10 | yes | 200 | |
475.216 | even | 15 | inner | 950.2.r.b.691.16 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.r.b.11.16 | ✓ | 200 | 1.1 | even | 1 | trivial | |
950.2.r.b.311.10 | yes | 200 | 19.7 | even | 3 | inner | |
950.2.r.b.391.10 | yes | 200 | 25.16 | even | 5 | inner | |
950.2.r.b.691.16 | yes | 200 | 475.216 | even | 15 | inner |