Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), not 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 595.1 | ||
Root | \(0.939693 + 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.595 |
Dual form | 722.2.e.m.415.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | 1.76604 | + | 0.642788i | 1.01963 | + | 0.371114i | 0.797122 | − | 0.603818i | \(-0.206355\pi\) |
0.222504 | + | 0.974932i | \(0.428577\pi\) | |||||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.347296 | + | 1.96962i | 0.155316 | + | 0.880839i | 0.958497 | + | 0.285104i | \(0.0920281\pi\) |
−0.803181 | + | 0.595735i | \(0.796861\pi\) | |||||||
\(6\) | 1.76604 | − | 0.642788i | 0.720985 | − | 0.262417i | ||||
\(7\) | −2.53209 | + | 4.38571i | −0.957040 | + | 1.65764i | −0.227410 | + | 0.973799i | \(0.573026\pi\) |
−0.729630 | + | 0.683842i | \(0.760308\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 0.407604 | + | 0.342020i | 0.135868 | + | 0.114007i | ||||
\(10\) | 1.53209 | + | 1.28558i | 0.484489 | + | 0.406535i | ||||
\(11\) | 0.705737 | + | 1.22237i | 0.212788 | + | 0.368559i | 0.952586 | − | 0.304270i | \(-0.0984124\pi\) |
−0.739798 | + | 0.672829i | \(0.765079\pi\) | |||||||
\(12\) | 0.939693 | − | 1.62760i | 0.271266 | − | 0.469846i | ||||
\(13\) | 1.22668 | − | 0.446476i | 0.340220 | − | 0.123830i | −0.166259 | − | 0.986082i | \(-0.553169\pi\) |
0.506479 | + | 0.862252i | \(0.330947\pi\) | |||||||
\(14\) | 0.879385 | + | 4.98724i | 0.235026 | + | 1.33290i | ||||
\(15\) | −0.652704 | + | 3.70167i | −0.168527 | + | 0.955766i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 1.83022 | − | 1.53574i | 0.443894 | − | 0.372471i | −0.393270 | − | 0.919423i | \(-0.628656\pi\) |
0.837164 | + | 0.546952i | \(0.184212\pi\) | |||||||
\(18\) | 0.532089 | 0.125415 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 2.00000 | 0.447214 | ||||||||
\(21\) | −7.29086 | + | 6.11776i | −1.59100 | + | 1.33500i | ||||
\(22\) | 1.32635 | + | 0.482753i | 0.282779 | + | 0.102923i | ||||
\(23\) | −0.532089 | + | 3.01763i | −0.110948 | + | 0.629219i | 0.877729 | + | 0.479158i | \(0.159058\pi\) |
−0.988677 | + | 0.150060i | \(0.952053\pi\) | |||||||
\(24\) | −0.326352 | − | 1.85083i | −0.0666163 | − | 0.377800i | ||||
\(25\) | 0.939693 | − | 0.342020i | 0.187939 | − | 0.0684040i | ||||
\(26\) | 0.652704 | − | 1.13052i | 0.128006 | − | 0.221712i | ||||
\(27\) | −2.31908 | − | 4.01676i | −0.446307 | − | 0.773026i | ||||
\(28\) | 3.87939 | + | 3.25519i | 0.733135 | + | 0.615173i | ||||
\(29\) | 6.47565 | + | 5.43372i | 1.20250 | + | 1.00902i | 0.999555 | + | 0.0298254i | \(0.00949514\pi\) |
0.202943 | + | 0.979191i | \(0.434949\pi\) | |||||||
\(30\) | 1.87939 | + | 3.25519i | 0.343127 | + | 0.594314i | ||||
\(31\) | −0.184793 | + | 0.320070i | −0.0331897 | + | 0.0574863i | −0.882143 | − | 0.470981i | \(-0.843900\pi\) |
0.848953 | + | 0.528468i | \(0.177233\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 0.460637 | + | 2.61240i | 0.0801866 | + | 0.454761i | ||||
\(34\) | 0.414878 | − | 2.35289i | 0.0711509 | − | 0.403517i | ||||
\(35\) | −9.51754 | − | 3.46410i | −1.60876 | − | 0.585540i | ||||
\(36\) | 0.407604 | − | 0.342020i | 0.0679340 | − | 0.0570034i | ||||
\(37\) | 4.82295 | 0.792888 | 0.396444 | − | 0.918059i | \(-0.370244\pi\) | ||||
0.396444 | + | 0.918059i | \(0.370244\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.45336 | 0.392853 | ||||||||
\(40\) | 1.53209 | − | 1.28558i | 0.242245 | − | 0.203267i | ||||
\(41\) | 1.43969 | + | 0.524005i | 0.224842 | + | 0.0818359i | 0.451985 | − | 0.892026i | \(-0.350716\pi\) |
−0.227143 | + | 0.973862i | \(0.572938\pi\) | |||||||
\(42\) | −1.65270 | + | 9.37295i | −0.255018 | + | 1.44628i | ||||
\(43\) | −0.131759 | − | 0.747243i | −0.0200931 | − | 0.113953i | 0.973112 | − | 0.230334i | \(-0.0739819\pi\) |
−0.993205 | + | 0.116381i | \(0.962871\pi\) | |||||||
\(44\) | 1.32635 | − | 0.482753i | 0.199955 | − | 0.0727777i | ||||
\(45\) | −0.532089 | + | 0.921605i | −0.0793191 | + | 0.137385i | ||||
\(46\) | 1.53209 | + | 2.65366i | 0.225894 | + | 0.391260i | ||||
\(47\) | −7.82295 | − | 6.56423i | −1.14109 | − | 0.957492i | −0.141620 | − | 0.989921i | \(-0.545231\pi\) |
−0.999474 | + | 0.0324293i | \(0.989676\pi\) | |||||||
\(48\) | −1.43969 | − | 1.20805i | −0.207802 | − | 0.174366i | ||||
\(49\) | −9.32295 | − | 16.1478i | −1.33185 | − | 2.30683i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | 4.21941 | − | 1.53574i | 0.590835 | − | 0.215046i | ||||
\(52\) | −0.226682 | − | 1.28558i | −0.0314351 | − | 0.178277i | ||||
\(53\) | 0.290859 | − | 1.64955i | 0.0399526 | − | 0.226582i | −0.958293 | − | 0.285787i | \(-0.907745\pi\) |
0.998246 | + | 0.0592041i | \(0.0188563\pi\) | |||||||
\(54\) | −4.35844 | − | 1.58634i | −0.593109 | − | 0.215874i | ||||
\(55\) | −2.16250 | + | 1.81456i | −0.291592 | + | 0.244675i | ||||
\(56\) | 5.06418 | 0.676729 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.45336 | 1.10998 | ||||||||
\(59\) | 0.549163 | − | 0.460802i | 0.0714949 | − | 0.0599914i | −0.606340 | − | 0.795206i | \(-0.707363\pi\) |
0.677835 | + | 0.735214i | \(0.262918\pi\) | |||||||
\(60\) | 3.53209 | + | 1.28558i | 0.455991 | + | 0.165967i | ||||
\(61\) | 1.69459 | − | 9.61051i | 0.216970 | − | 1.23050i | −0.660484 | − | 0.750840i | \(-0.729649\pi\) |
0.877454 | − | 0.479660i | \(-0.159240\pi\) | |||||||
\(62\) | 0.0641778 | + | 0.363970i | 0.00815059 | + | 0.0462243i | ||||
\(63\) | −2.53209 | + | 0.921605i | −0.319013 | + | 0.116111i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 1.30541 | + | 2.26103i | 0.161916 | + | 0.280446i | ||||
\(66\) | 2.03209 | + | 1.70513i | 0.250133 | + | 0.209886i | ||||
\(67\) | −1.07532 | − | 0.902302i | −0.131372 | − | 0.110234i | 0.574734 | − | 0.818340i | \(-0.305105\pi\) |
−0.706106 | + | 0.708106i | \(0.749550\pi\) | |||||||
\(68\) | −1.19459 | − | 2.06910i | −0.144866 | − | 0.250915i | ||||
\(69\) | −2.87939 | + | 4.98724i | −0.346637 | + | 0.600393i | ||||
\(70\) | −9.51754 | + | 3.46410i | −1.13756 | + | 0.414039i | ||||
\(71\) | −1.10607 | − | 6.27282i | −0.131266 | − | 0.744446i | −0.977387 | − | 0.211456i | \(-0.932179\pi\) |
0.846121 | − | 0.532990i | \(-0.178932\pi\) | |||||||
\(72\) | 0.0923963 | − | 0.524005i | 0.0108890 | − | 0.0617546i | ||||
\(73\) | 4.28446 | + | 1.55942i | 0.501458 | + | 0.182516i | 0.580350 | − | 0.814367i | \(-0.302916\pi\) |
−0.0788914 | + | 0.996883i | \(0.525138\pi\) | |||||||
\(74\) | 3.69459 | − | 3.10013i | 0.429488 | − | 0.360383i | ||||
\(75\) | 1.87939 | 0.217013 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.14796 | −0.814585 | ||||||||
\(78\) | 1.87939 | − | 1.57699i | 0.212798 | − | 0.178559i | ||||
\(79\) | 2.10607 | + | 0.766546i | 0.236951 | + | 0.0862431i | 0.457766 | − | 0.889073i | \(-0.348650\pi\) |
−0.220815 | + | 0.975316i | \(0.570872\pi\) | |||||||
\(80\) | 0.347296 | − | 1.96962i | 0.0388289 | − | 0.220210i | ||||
\(81\) | −1.79086 | − | 10.1565i | −0.198984 | − | 1.12850i | ||||
\(82\) | 1.43969 | − | 0.524005i | 0.158987 | − | 0.0578667i | ||||
\(83\) | 1.99273 | − | 3.45150i | 0.218730 | − | 0.378852i | −0.735690 | − | 0.677319i | \(-0.763142\pi\) |
0.954420 | + | 0.298467i | \(0.0964752\pi\) | |||||||
\(84\) | 4.75877 | + | 8.24243i | 0.519224 | + | 0.899323i | ||||
\(85\) | 3.66044 | + | 3.07148i | 0.397031 | + | 0.333149i | ||||
\(86\) | −0.581252 | − | 0.487728i | −0.0626780 | − | 0.0525931i | ||||
\(87\) | 7.94356 | + | 13.7587i | 0.851639 | + | 1.47508i | ||||
\(88\) | 0.705737 | − | 1.22237i | 0.0752318 | − | 0.130305i | ||||
\(89\) | 10.0039 | − | 3.64111i | 1.06041 | − | 0.385957i | 0.247827 | − | 0.968804i | \(-0.420284\pi\) |
0.812582 | + | 0.582847i | \(0.198061\pi\) | |||||||
\(90\) | 0.184793 | + | 1.04801i | 0.0194788 | + | 0.110470i | ||||
\(91\) | −1.14796 | + | 6.51038i | −0.120338 | + | 0.682473i | ||||
\(92\) | 2.87939 | + | 1.04801i | 0.300197 | + | 0.109263i | ||||
\(93\) | −0.532089 | + | 0.446476i | −0.0551750 | + | 0.0462974i | ||||
\(94\) | −10.2121 | −1.05330 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.87939 | −0.191814 | ||||||||
\(97\) | −1.17365 | + | 0.984808i | −0.119166 | + | 0.0999921i | −0.700423 | − | 0.713728i | \(-0.747005\pi\) |
0.581257 | + | 0.813720i | \(0.302561\pi\) | |||||||
\(98\) | −17.5214 | − | 6.37727i | −1.76993 | − | 0.644202i | ||||
\(99\) | −0.130415 | + | 0.739620i | −0.0131072 | + | 0.0743346i | ||||
\(100\) | −0.173648 | − | 0.984808i | −0.0173648 | − | 0.0984808i | ||||
\(101\) | −8.29086 | + | 3.01763i | −0.824971 | + | 0.300265i | −0.719793 | − | 0.694188i | \(-0.755763\pi\) |
−0.105178 | + | 0.994453i | \(0.533541\pi\) | |||||||
\(102\) | 2.24510 | − | 3.88863i | 0.222298 | − | 0.385031i | ||||
\(103\) | 3.57398 | + | 6.19031i | 0.352155 | + | 0.609950i | 0.986627 | − | 0.162996i | \(-0.0521158\pi\) |
−0.634472 | + | 0.772946i | \(0.718782\pi\) | |||||||
\(104\) | −1.00000 | − | 0.839100i | −0.0980581 | − | 0.0822805i | ||||
\(105\) | −14.5817 | − | 12.2355i | −1.42303 | − | 1.19406i | ||||
\(106\) | −0.837496 | − | 1.45059i | −0.0813448 | − | 0.140893i | ||||
\(107\) | 4.68479 | − | 8.11430i | 0.452896 | − | 0.784439i | −0.545669 | − | 0.838001i | \(-0.683724\pi\) |
0.998565 | + | 0.0535622i | \(0.0170576\pi\) | |||||||
\(108\) | −4.35844 | + | 1.58634i | −0.419391 | + | 0.152646i | ||||
\(109\) | 1.92127 | + | 10.8961i | 0.184025 | + | 1.04366i | 0.927202 | + | 0.374561i | \(0.122207\pi\) |
−0.743177 | + | 0.669094i | \(0.766682\pi\) | |||||||
\(110\) | −0.490200 | + | 2.78006i | −0.0467387 | + | 0.265068i | ||||
\(111\) | 8.51754 | + | 3.10013i | 0.808449 | + | 0.294251i | ||||
\(112\) | 3.87939 | − | 3.25519i | 0.366567 | − | 0.307587i | ||||
\(113\) | −13.2986 | −1.25103 | −0.625514 | − | 0.780213i | \(-0.715110\pi\) | ||||
−0.625514 | + | 0.780213i | \(0.715110\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.12836 | −0.571472 | ||||||||
\(116\) | 6.47565 | − | 5.43372i | 0.601249 | − | 0.504508i | ||||
\(117\) | 0.652704 | + | 0.237565i | 0.0603425 | + | 0.0219629i | ||||
\(118\) | 0.124485 | − | 0.705990i | 0.0114598 | − | 0.0649917i | ||||
\(119\) | 2.10101 | + | 11.9154i | 0.192600 | + | 1.09229i | ||||
\(120\) | 3.53209 | − | 1.28558i | 0.322434 | − | 0.117356i | ||||
\(121\) | 4.50387 | − | 7.80093i | 0.409443 | − | 0.709176i | ||||
\(122\) | −4.87939 | − | 8.45134i | −0.441759 | − | 0.765149i | ||||
\(123\) | 2.20574 | + | 1.85083i | 0.198885 | + | 0.166884i | ||||
\(124\) | 0.283119 | + | 0.237565i | 0.0254248 | + | 0.0213339i | ||||
\(125\) | 6.00000 | + | 10.3923i | 0.536656 | + | 0.929516i | ||||
\(126\) | −1.34730 | + | 2.33359i | −0.120027 | + | 0.207892i | ||||
\(127\) | 5.36959 | − | 1.95437i | 0.476474 | − | 0.173422i | −0.0926090 | − | 0.995703i | \(-0.529521\pi\) |
0.569083 | + | 0.822280i | \(0.307298\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | 0.247626 | − | 1.40436i | 0.0218023 | − | 0.123647i | ||||
\(130\) | 2.45336 | + | 0.892951i | 0.215174 | + | 0.0783170i | ||||
\(131\) | −7.56805 | + | 6.35035i | −0.661223 | + | 0.554832i | −0.910453 | − | 0.413612i | \(-0.864267\pi\) |
0.249230 | + | 0.968444i | \(0.419823\pi\) | |||||||
\(132\) | 2.65270 | 0.230888 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −1.40373 | −0.121264 | ||||||||
\(135\) | 7.10607 | − | 5.96270i | 0.611593 | − | 0.513187i | ||||
\(136\) | −2.24510 | − | 0.817150i | −0.192516 | − | 0.0700700i | ||||
\(137\) | 0.937166 | − | 5.31493i | 0.0800675 | − | 0.454086i | −0.918245 | − | 0.396013i | \(-0.870393\pi\) |
0.998312 | − | 0.0580724i | \(-0.0184954\pi\) | |||||||
\(138\) | 1.00000 | + | 5.67128i | 0.0851257 | + | 0.482772i | ||||
\(139\) | 2.19846 | − | 0.800175i | 0.186471 | − | 0.0678700i | −0.247097 | − | 0.968991i | \(-0.579477\pi\) |
0.433568 | + | 0.901121i | \(0.357254\pi\) | |||||||
\(140\) | −5.06418 | + | 8.77141i | −0.428001 | + | 0.741320i | ||||
\(141\) | −9.59627 | − | 16.6212i | −0.808151 | − | 1.39976i | ||||
\(142\) | −4.87939 | − | 4.09429i | −0.409469 | − | 0.343585i | ||||
\(143\) | 1.41147 | + | 1.18437i | 0.118033 | + | 0.0990418i | ||||
\(144\) | −0.266044 | − | 0.460802i | −0.0221704 | − | 0.0384002i | ||||
\(145\) | −8.45336 | + | 14.6417i | −0.702014 | + | 1.21592i | ||||
\(146\) | 4.28446 | − | 1.55942i | 0.354585 | − | 0.129058i | ||||
\(147\) | −6.08512 | − | 34.5104i | −0.501892 | − | 2.84637i | ||||
\(148\) | 0.837496 | − | 4.74968i | 0.0688418 | − | 0.390421i | ||||
\(149\) | 13.5030 | + | 4.91469i | 1.10621 | + | 0.402627i | 0.829601 | − | 0.558356i | \(-0.188568\pi\) |
0.276607 | + | 0.960983i | \(0.410790\pi\) | |||||||
\(150\) | 1.43969 | − | 1.20805i | 0.117550 | − | 0.0986365i | ||||
\(151\) | −20.8384 | −1.69581 | −0.847904 | − | 0.530150i | \(-0.822135\pi\) | ||||
−0.847904 | + | 0.530150i | \(0.822135\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.27126 | 0.102775 | ||||||||
\(154\) | −5.47565 | + | 4.59462i | −0.441241 | + | 0.370245i | ||||
\(155\) | −0.694593 | − | 0.252811i | −0.0557910 | − | 0.0203063i | ||||
\(156\) | 0.426022 | − | 2.41609i | 0.0341091 | − | 0.193442i | ||||
\(157\) | 1.10607 | + | 6.27282i | 0.0882737 | + | 0.500625i | 0.996602 | + | 0.0823673i | \(0.0262481\pi\) |
−0.908328 | + | 0.418258i | \(0.862641\pi\) | |||||||
\(158\) | 2.10607 | − | 0.766546i | 0.167550 | − | 0.0609831i | ||||
\(159\) | 1.57398 | − | 2.72621i | 0.124825 | − | 0.216202i | ||||
\(160\) | −1.00000 | − | 1.73205i | −0.0790569 | − | 0.136931i | ||||
\(161\) | −11.8871 | − | 9.97448i | −0.936837 | − | 0.786099i | ||||
\(162\) | −7.90033 | − | 6.62916i | −0.620709 | − | 0.520836i | ||||
\(163\) | −2.36571 | − | 4.09754i | −0.185297 | − | 0.320944i | 0.758380 | − | 0.651813i | \(-0.225991\pi\) |
−0.943677 | + | 0.330869i | \(0.892658\pi\) | |||||||
\(164\) | 0.766044 | − | 1.32683i | 0.0598180 | − | 0.103608i | ||||
\(165\) | −4.98545 | + | 1.81456i | −0.388117 | + | 0.141263i | ||||
\(166\) | −0.692066 | − | 3.92490i | −0.0537148 | − | 0.304632i | ||||
\(167\) | 3.00000 | − | 17.0138i | 0.232147 | − | 1.31657i | −0.616393 | − | 0.787439i | \(-0.711407\pi\) |
0.848540 | − | 0.529132i | \(-0.177482\pi\) | |||||||
\(168\) | 8.94356 | + | 3.25519i | 0.690011 | + | 0.251143i | ||||
\(169\) | −8.65317 | + | 7.26087i | −0.665628 | + | 0.558529i | ||||
\(170\) | 4.77837 | 0.366484 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.758770 | −0.0578557 | ||||||||
\(173\) | 14.4192 | − | 12.0992i | 1.09627 | − | 0.919882i | 0.0991038 | − | 0.995077i | \(-0.468402\pi\) |
0.997169 | + | 0.0751952i | \(0.0239580\pi\) | |||||||
\(174\) | 14.9290 | + | 5.43372i | 1.13177 | + | 0.411929i | ||||
\(175\) | −0.879385 | + | 4.98724i | −0.0664753 | + | 0.377000i | ||||
\(176\) | −0.245100 | − | 1.39003i | −0.0184751 | − | 0.104778i | ||||
\(177\) | 1.26604 | − | 0.460802i | 0.0951617 | − | 0.0346360i | ||||
\(178\) | 5.32295 | − | 9.21962i | 0.398972 | − | 0.691039i | ||||
\(179\) | 6.91400 | + | 11.9754i | 0.516777 | + | 0.895083i | 0.999810 | + | 0.0194816i | \(0.00620157\pi\) |
−0.483034 | + | 0.875602i | \(0.660465\pi\) | |||||||
\(180\) | 0.815207 | + | 0.684040i | 0.0607620 | + | 0.0509854i | ||||
\(181\) | 9.38919 | + | 7.87846i | 0.697893 | + | 0.585601i | 0.921173 | − | 0.389153i | \(-0.127232\pi\) |
−0.223281 | + | 0.974754i | \(0.571677\pi\) | |||||||
\(182\) | 3.30541 | + | 5.72513i | 0.245013 | + | 0.424375i | ||||
\(183\) | 9.17024 | − | 15.8833i | 0.677884 | − | 1.17413i | ||||
\(184\) | 2.87939 | − | 1.04801i | 0.212271 | − | 0.0772604i | ||||
\(185\) | 1.67499 | + | 9.49935i | 0.123148 | + | 0.698406i | ||||
\(186\) | −0.120615 | + | 0.684040i | −0.00884390 | + | 0.0501563i | ||||
\(187\) | 3.16890 | + | 1.15339i | 0.231733 | + | 0.0843439i | ||||
\(188\) | −7.82295 | + | 6.56423i | −0.570547 | + | 0.478746i | ||||
\(189\) | 23.4884 | 1.70853 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.0993 | −1.45433 | −0.727166 | − | 0.686462i | \(-0.759163\pi\) | ||||
−0.727166 | + | 0.686462i | \(0.759163\pi\) | |||||||
\(192\) | −1.43969 | + | 1.20805i | −0.103901 | + | 0.0871832i | ||||
\(193\) | −15.6789 | − | 5.70664i | −1.12859 | − | 0.410773i | −0.290809 | − | 0.956781i | \(-0.593925\pi\) |
−0.837780 | + | 0.546008i | \(0.816147\pi\) | |||||||
\(194\) | −0.266044 | + | 1.50881i | −0.0191009 | + | 0.108326i | ||||
\(195\) | 0.852044 | + | 4.83218i | 0.0610161 | + | 0.346040i | ||||
\(196\) | −17.5214 | + | 6.37727i | −1.25153 | + | 0.455519i | ||||
\(197\) | −6.49525 | + | 11.2501i | −0.462768 | + | 0.801537i | −0.999098 | − | 0.0424714i | \(-0.986477\pi\) |
0.536330 | + | 0.844008i | \(0.319810\pi\) | |||||||
\(198\) | 0.375515 | + | 0.650411i | 0.0266867 | + | 0.0462227i | ||||
\(199\) | 13.1702 | + | 11.0511i | 0.933614 | + | 0.783395i | 0.976463 | − | 0.215687i | \(-0.0691989\pi\) |
−0.0428488 | + | 0.999082i | \(0.513643\pi\) | |||||||
\(200\) | −0.766044 | − | 0.642788i | −0.0541675 | − | 0.0454519i | ||||
\(201\) | −1.31908 | − | 2.28471i | −0.0930406 | − | 0.161151i | ||||
\(202\) | −4.41147 | + | 7.64090i | −0.310390 | + | 0.537612i | ||||
\(203\) | −40.2276 | + | 14.6417i | −2.82343 | + | 1.02764i | ||||
\(204\) | −0.779715 | − | 4.42198i | −0.0545910 | − | 0.309601i | ||||
\(205\) | −0.532089 | + | 3.01763i | −0.0371627 | + | 0.210760i | ||||
\(206\) | 6.71688 | + | 2.44474i | 0.467987 | + | 0.170333i | ||||
\(207\) | −1.24897 | + | 1.04801i | −0.0868094 | + | 0.0728418i | ||||
\(208\) | −1.30541 | −0.0905137 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −19.0351 | −1.31355 | ||||||||
\(211\) | −12.3400 | + | 10.3545i | −0.849522 | + | 0.712834i | −0.959684 | − | 0.281080i | \(-0.909307\pi\) |
0.110162 | + | 0.993914i | \(0.464863\pi\) | |||||||
\(212\) | −1.57398 | − | 0.572881i | −0.108101 | − | 0.0393456i | ||||
\(213\) | 2.07873 | − | 11.7890i | 0.142432 | − | 0.807772i | ||||
\(214\) | −1.62701 | − | 9.22724i | −0.111220 | − | 0.630761i | ||||
\(215\) | 1.42602 | − | 0.519030i | 0.0972539 | − | 0.0353975i | ||||
\(216\) | −2.31908 | + | 4.01676i | −0.157793 | + | 0.273306i | ||||
\(217\) | −0.935822 | − | 1.62089i | −0.0635278 | − | 0.110033i | ||||
\(218\) | 8.47565 | + | 7.11192i | 0.574044 | + | 0.481680i | ||||
\(219\) | 6.56418 | + | 5.50800i | 0.443566 | + | 0.372196i | ||||
\(220\) | 1.41147 | + | 2.44474i | 0.0951616 | + | 0.164825i | ||||
\(221\) | 1.55943 | − | 2.70101i | 0.104899 | − | 0.181690i | ||||
\(222\) | 8.51754 | − | 3.10013i | 0.571660 | − | 0.208067i | ||||
\(223\) | 0.709141 | + | 4.02174i | 0.0474876 | + | 0.269315i | 0.999302 | − | 0.0373595i | \(-0.0118947\pi\) |
−0.951814 | + | 0.306675i | \(0.900784\pi\) | |||||||
\(224\) | 0.879385 | − | 4.98724i | 0.0587564 | − | 0.333224i | ||||
\(225\) | 0.500000 | + | 0.181985i | 0.0333333 | + | 0.0121323i | ||||
\(226\) | −10.1873 | + | 8.54818i | −0.677650 | + | 0.568616i | ||||
\(227\) | 13.6604 | 0.906676 | 0.453338 | − | 0.891339i | \(-0.350233\pi\) | ||||
0.453338 | + | 0.891339i | \(0.350233\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.22163 | −0.345055 | −0.172527 | − | 0.985005i | \(-0.555193\pi\) | ||||
−0.172527 | + | 0.985005i | \(0.555193\pi\) | |||||||
\(230\) | −4.69459 | + | 3.93923i | −0.309552 | + | 0.259745i | ||||
\(231\) | −12.6236 | − | 4.59462i | −0.830572 | − | 0.302304i | ||||
\(232\) | 1.46791 | − | 8.32494i | 0.0963731 | − | 0.546559i | ||||
\(233\) | −4.69594 | − | 26.6320i | −0.307641 | − | 1.74472i | −0.610805 | − | 0.791781i | \(-0.709154\pi\) |
0.303164 | − | 0.952938i | \(-0.401957\pi\) | |||||||
\(234\) | 0.652704 | − | 0.237565i | 0.0426686 | − | 0.0155301i | ||||
\(235\) | 10.2121 | − | 17.6879i | 0.666166 | − | 1.15383i | ||||
\(236\) | −0.358441 | − | 0.620838i | −0.0233325 | − | 0.0404131i | ||||
\(237\) | 3.22668 | + | 2.70751i | 0.209595 | + | 0.175872i | ||||
\(238\) | 9.26857 | + | 7.77725i | 0.600792 | + | 0.504125i | ||||
\(239\) | 0.142903 | + | 0.247516i | 0.00924366 | + | 0.0160105i | 0.870610 | − | 0.491973i | \(-0.163724\pi\) |
−0.861367 | + | 0.507984i | \(0.830391\pi\) | |||||||
\(240\) | 1.87939 | − | 3.25519i | 0.121314 | − | 0.210122i | ||||
\(241\) | −2.91400 | + | 1.06061i | −0.187707 | + | 0.0683199i | −0.434164 | − | 0.900834i | \(-0.642956\pi\) |
0.246456 | + | 0.969154i | \(0.420734\pi\) | |||||||
\(242\) | −1.56418 | − | 8.87089i | −0.100549 | − | 0.570243i | ||||
\(243\) | 0.949493 | − | 5.38484i | 0.0609100 | − | 0.345438i | ||||
\(244\) | −9.17024 | − | 3.33770i | −0.587065 | − | 0.213674i | ||||
\(245\) | 28.5672 | − | 23.9707i | 1.82509 | − | 1.53143i | ||||
\(246\) | 2.87939 | 0.183583 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0.369585 | 0.0234687 | ||||||||
\(249\) | 5.73783 | − | 4.81461i | 0.363620 | − | 0.305113i | ||||
\(250\) | 11.2763 | + | 4.10424i | 0.713177 | + | 0.259575i | ||||
\(251\) | −2.19800 | + | 12.4655i | −0.138736 | + | 0.786813i | 0.833448 | + | 0.552597i | \(0.186363\pi\) |
−0.972185 | + | 0.234215i | \(0.924748\pi\) | |||||||
\(252\) | 0.467911 | + | 2.65366i | 0.0294756 | + | 0.167165i | ||||
\(253\) | −4.06418 | + | 1.47924i | −0.255513 | + | 0.0929990i | ||||
\(254\) | 2.85710 | − | 4.94864i | 0.179270 | − | 0.310505i | ||||
\(255\) | 4.49020 | + | 7.77725i | 0.281187 | + | 0.487031i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −23.2822 | − | 19.5361i | −1.45231 | − | 1.21863i | −0.930876 | − | 0.365336i | \(-0.880954\pi\) |
−0.521431 | − | 0.853294i | \(-0.674601\pi\) | |||||||
\(258\) | −0.713011 | − | 1.23497i | −0.0443901 | − | 0.0768860i | ||||
\(259\) | −12.2121 | + | 21.1520i | −0.758825 | + | 1.31432i | ||||
\(260\) | 2.45336 | − | 0.892951i | 0.152151 | − | 0.0553785i | ||||
\(261\) | 0.781059 | + | 4.42961i | 0.0483464 | + | 0.274186i | ||||
\(262\) | −1.71554 | + | 9.72930i | −0.105986 | + | 0.601078i | ||||
\(263\) | −20.5817 | − | 7.49113i | −1.26912 | − | 0.461923i | −0.382303 | − | 0.924037i | \(-0.624869\pi\) |
−0.886820 | + | 0.462114i | \(0.847091\pi\) | |||||||
\(264\) | 2.03209 | − | 1.70513i | 0.125066 | − | 0.104943i | ||||
\(265\) | 3.34998 | 0.205788 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 20.0077 | 1.22445 | ||||||||
\(268\) | −1.07532 | + | 0.902302i | −0.0656858 | + | 0.0551169i | ||||
\(269\) | 1.34730 | + | 0.490376i | 0.0821461 | + | 0.0298987i | 0.382766 | − | 0.923845i | \(-0.374971\pi\) |
−0.300620 | + | 0.953744i | \(0.597194\pi\) | |||||||
\(270\) | 1.61081 | − | 9.13538i | 0.0980311 | − | 0.555962i | ||||
\(271\) | 2.80840 | + | 15.9272i | 0.170598 | + | 0.967510i | 0.943103 | + | 0.332501i | \(0.107893\pi\) |
−0.772505 | + | 0.635009i | \(0.780996\pi\) | |||||||
\(272\) | −2.24510 | + | 0.817150i | −0.136129 | + | 0.0495470i | ||||
\(273\) | −6.21213 | + | 10.7597i | −0.375975 | + | 0.651209i | ||||
\(274\) | −2.69846 | − | 4.67388i | −0.163020 | − | 0.282359i | ||||
\(275\) | 1.08125 | + | 0.907278i | 0.0652019 | + | 0.0547109i | ||||
\(276\) | 4.41147 | + | 3.70167i | 0.265540 | + | 0.222814i | ||||
\(277\) | −5.55438 | − | 9.62046i | −0.333730 | − | 0.578038i | 0.649510 | − | 0.760353i | \(-0.274974\pi\) |
−0.983240 | + | 0.182315i | \(0.941641\pi\) | |||||||
\(278\) | 1.16978 | − | 2.02611i | 0.0701586 | − | 0.121518i | ||||
\(279\) | −0.184793 | + | 0.0672590i | −0.0110632 | + | 0.00402669i | ||||
\(280\) | 1.75877 | + | 9.97448i | 0.105107 | + | 0.596089i | ||||
\(281\) | 0.737826 | − | 4.18442i | 0.0440150 | − | 0.249622i | −0.954859 | − | 0.297059i | \(-0.903994\pi\) |
0.998874 | + | 0.0474372i | \(0.0151054\pi\) | |||||||
\(282\) | −18.0351 | − | 6.56423i | −1.07397 | − | 0.390894i | ||||
\(283\) | −4.17958 | + | 3.50708i | −0.248450 | + | 0.208474i | −0.758505 | − | 0.651668i | \(-0.774070\pi\) |
0.510054 | + | 0.860142i | \(0.329625\pi\) | |||||||
\(284\) | −6.36959 | −0.377965 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.84255 | 0.108952 | ||||||||
\(287\) | −5.94356 | + | 4.98724i | −0.350837 | + | 0.294388i | ||||
\(288\) | −0.500000 | − | 0.181985i | −0.0294628 | − | 0.0107236i | ||||
\(289\) | −1.96080 | + | 11.1202i | −0.115341 | + | 0.654132i | ||||
\(290\) | 2.93582 | + | 16.6499i | 0.172397 | + | 0.977714i | ||||
\(291\) | −2.70574 | + | 0.984808i | −0.158613 | + | 0.0577305i | ||||
\(292\) | 2.27972 | − | 3.94858i | 0.133410 | − | 0.231073i | ||||
\(293\) | −8.90673 | − | 15.4269i | −0.520337 | − | 0.901249i | −0.999720 | − | 0.0236440i | \(-0.992473\pi\) |
0.479384 | − | 0.877605i | \(-0.340860\pi\) | |||||||
\(294\) | −26.8444 | − | 22.5251i | −1.56559 | − | 1.31369i | ||||
\(295\) | 1.09833 | + | 0.921605i | 0.0639470 | + | 0.0536579i | ||||
\(296\) | −2.41147 | − | 4.17680i | −0.140164 | − | 0.242771i | ||||
\(297\) | 3.27332 | − | 5.66955i | 0.189937 | − | 0.328981i | ||||
\(298\) | 13.5030 | − | 4.91469i | 0.782207 | − | 0.284700i | ||||
\(299\) | 0.694593 | + | 3.93923i | 0.0401693 | + | 0.227812i | ||||
\(300\) | 0.326352 | − | 1.85083i | 0.0188419 | − | 0.106858i | ||||
\(301\) | 3.61081 | + | 1.31423i | 0.208124 | + | 0.0757509i | ||||
\(302\) | −15.9632 | + | 13.3947i | −0.918577 | + | 0.770777i | ||||
\(303\) | −16.5817 | −0.952595 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 19.5175 | 1.11757 | ||||||||
\(306\) | 0.973841 | − | 0.817150i | 0.0556708 | − | 0.0467133i | ||||
\(307\) | 26.9304 | + | 9.80185i | 1.53700 | + | 0.559421i | 0.965323 | − | 0.261060i | \(-0.0840719\pi\) |
0.571674 | + | 0.820481i | \(0.306294\pi\) | |||||||
\(308\) | −1.24123 | + | 7.03936i | −0.0707256 | + | 0.401105i | ||||
\(309\) | 2.33275 | + | 13.2297i | 0.132705 | + | 0.752610i | ||||
\(310\) | −0.694593 | + | 0.252811i | −0.0394502 | + | 0.0143587i | ||||
\(311\) | −7.90673 | + | 13.6949i | −0.448349 | + | 0.776564i | −0.998279 | − | 0.0586473i | \(-0.981321\pi\) |
0.549929 | + | 0.835211i | \(0.314655\pi\) | |||||||
\(312\) | −1.22668 | − | 2.12467i | −0.0694472 | − | 0.120286i | ||||
\(313\) | 10.0660 | + | 8.44637i | 0.568963 | + | 0.477417i | 0.881302 | − | 0.472554i | \(-0.156668\pi\) |
−0.312338 | + | 0.949971i | \(0.601112\pi\) | |||||||
\(314\) | 4.87939 | + | 4.09429i | 0.275360 | + | 0.231054i | ||||
\(315\) | −2.69459 | − | 4.66717i | −0.151823 | − | 0.262965i | ||||
\(316\) | 1.12061 | − | 1.94096i | 0.0630395 | − | 0.109188i | ||||
\(317\) | 20.1138 | − | 7.32083i | 1.12970 | − | 0.411179i | 0.291519 | − | 0.956565i | \(-0.405839\pi\) |
0.838185 | + | 0.545386i | \(0.183617\pi\) | |||||||
\(318\) | −0.546637 | − | 3.10013i | −0.0306539 | − | 0.173847i | ||||
\(319\) | −2.07192 | + | 11.7504i | −0.116005 | + | 0.657898i | ||||
\(320\) | −1.87939 | − | 0.684040i | −0.105061 | − | 0.0382390i | ||||
\(321\) | 13.4893 | − | 11.3189i | 0.752901 | − | 0.631759i | ||||
\(322\) | −15.5175 | −0.864759 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −10.3131 | −0.572953 | ||||||||
\(325\) | 1.00000 | − | 0.839100i | 0.0554700 | − | 0.0465449i | ||||
\(326\) | −4.44609 | − | 1.61824i | −0.246246 | − | 0.0896263i | ||||
\(327\) | −3.61081 | + | 20.4779i | −0.199679 | + | 1.13243i | ||||
\(328\) | −0.266044 | − | 1.50881i | −0.0146898 | − | 0.0833103i | ||||
\(329\) | 48.5972 | − | 17.6879i | 2.67925 | − | 0.975167i | ||||
\(330\) | −2.65270 | + | 4.59462i | −0.146027 | + | 0.252925i | ||||
\(331\) | 12.6989 | + | 21.9952i | 0.697996 | + | 1.20897i | 0.969160 | + | 0.246432i | \(0.0792582\pi\) |
−0.271164 | + | 0.962533i | \(0.587409\pi\) | |||||||
\(332\) | −3.05303 | − | 2.56180i | −0.167557 | − | 0.140597i | ||||
\(333\) | 1.96585 | + | 1.64955i | 0.107728 | + | 0.0903945i | ||||
\(334\) | −8.63816 | − | 14.9617i | −0.472659 | − | 0.818669i | ||||
\(335\) | 1.40373 | − | 2.43134i | 0.0766941 | − | 0.132838i | ||||
\(336\) | 8.94356 | − | 3.25519i | 0.487911 | − | 0.177585i | ||||
\(337\) | 4.58037 | + | 25.9766i | 0.249509 | + | 1.41504i | 0.809784 | + | 0.586729i | \(0.199584\pi\) |
−0.560275 | + | 0.828307i | \(0.689304\pi\) | |||||||
\(338\) | −1.96151 | + | 11.1243i | −0.106692 | + | 0.605082i | ||||
\(339\) | −23.4859 | − | 8.54818i | −1.27558 | − | 0.464273i | ||||
\(340\) | 3.66044 | − | 3.07148i | 0.198515 | − | 0.166574i | ||||
\(341\) | −0.521660 | −0.0282495 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 58.9769 | 3.18445 | ||||||||
\(344\) | −0.581252 | + | 0.487728i | −0.0313390 | + | 0.0262965i | ||||
\(345\) | −10.8229 | − | 3.93923i | −0.582688 | − | 0.212081i | ||||
\(346\) | 3.26857 | − | 18.5370i | 0.175719 | − | 0.996555i | ||||
\(347\) | −4.45084 | − | 25.2420i | −0.238933 | − | 1.35506i | −0.834170 | − | 0.551508i | \(-0.814053\pi\) |
0.595236 | − | 0.803551i | \(-0.297059\pi\) | |||||||
\(348\) | 14.9290 | − | 5.43372i | 0.800279 | − | 0.291278i | ||||
\(349\) | 2.92127 | − | 5.05980i | 0.156372 | − | 0.270845i | −0.777186 | − | 0.629271i | \(-0.783353\pi\) |
0.933558 | + | 0.358427i | \(0.116687\pi\) | |||||||
\(350\) | 2.53209 | + | 4.38571i | 0.135346 | + | 0.234426i | ||||
\(351\) | −4.63816 | − | 3.89187i | −0.247566 | − | 0.207733i | ||||
\(352\) | −1.08125 | − | 0.907278i | −0.0576309 | − | 0.0483581i | ||||
\(353\) | 11.2049 | + | 19.4074i | 0.596375 | + | 1.03295i | 0.993351 | + | 0.115122i | \(0.0367260\pi\) |
−0.396977 | + | 0.917829i | \(0.629941\pi\) | |||||||
\(354\) | 0.673648 | − | 1.16679i | 0.0358040 | − | 0.0620143i | ||||
\(355\) | 11.9709 | − | 4.35705i | 0.635350 | − | 0.231248i | ||||
\(356\) | −1.84864 | − | 10.4842i | −0.0979778 | − | 0.555659i | ||||
\(357\) | −3.94862 | + | 22.3937i | −0.208983 | + | 1.18520i | ||||
\(358\) | 12.9941 | + | 4.72945i | 0.686758 | + | 0.249959i | ||||
\(359\) | 7.36690 | − | 6.18156i | 0.388810 | − | 0.326250i | −0.427339 | − | 0.904091i | \(-0.640549\pi\) |
0.816149 | + | 0.577841i | \(0.196105\pi\) | |||||||
\(360\) | 1.06418 | 0.0560871 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 12.2567 | 0.644198 | ||||||||
\(363\) | 12.9684 | − | 10.8818i | 0.680663 | − | 0.571144i | ||||
\(364\) | 6.21213 | + | 2.26103i | 0.325604 | + | 0.118510i | ||||
\(365\) | −1.58347 | + | 8.98032i | −0.0828828 | + | 0.470052i | ||||
\(366\) | −3.18479 | − | 18.0619i | −0.166472 | − | 0.944108i | ||||
\(367\) | −21.9513 | + | 7.98962i | −1.14585 | + | 0.417055i | −0.844022 | − | 0.536308i | \(-0.819819\pi\) |
−0.301826 | + | 0.953363i | \(0.597596\pi\) | |||||||
\(368\) | 1.53209 | − | 2.65366i | 0.0798657 | − | 0.138331i | ||||
\(369\) | 0.407604 | + | 0.705990i | 0.0212190 | + | 0.0367524i | ||||
\(370\) | 7.38919 | + | 6.20026i | 0.384145 | + | 0.322336i | ||||
\(371\) | 6.49794 | + | 5.45242i | 0.337356 | + | 0.283076i | ||||
\(372\) | 0.347296 | + | 0.601535i | 0.0180065 | + | 0.0311881i | ||||
\(373\) | 12.9709 | − | 22.4663i | 0.671608 | − | 1.16326i | −0.305840 | − | 0.952083i | \(-0.598937\pi\) |
0.977448 | − | 0.211176i | \(-0.0677294\pi\) | |||||||
\(374\) | 3.16890 | − | 1.15339i | 0.163860 | − | 0.0596401i | ||||
\(375\) | 3.91622 | + | 22.2100i | 0.202233 | + | 1.14692i | ||||
\(376\) | −1.77332 | + | 10.0570i | −0.0914519 | + | 0.518650i | ||||
\(377\) | 10.3696 | + | 3.77422i | 0.534061 | + | 0.194382i | ||||
\(378\) | 17.9932 | − | 15.0981i | 0.925470 | − | 0.776562i | ||||
\(379\) | 9.47834 | 0.486870 | 0.243435 | − | 0.969917i | \(-0.421726\pi\) | ||||
0.243435 | + | 0.969917i | \(0.421726\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.7392 | 0.550184 | ||||||||
\(382\) | −15.3969 | + | 12.9196i | −0.787775 | + | 0.661022i | ||||
\(383\) | 12.6750 | + | 4.61332i | 0.647662 | + | 0.235730i | 0.644900 | − | 0.764267i | \(-0.276899\pi\) |
0.00276137 | + | 0.999996i | \(0.499121\pi\) | |||||||
\(384\) | −0.326352 | + | 1.85083i | −0.0166541 | + | 0.0944499i | ||||
\(385\) | −2.48246 | − | 14.0787i | −0.126518 | − | 0.717518i | ||||
\(386\) | −15.6789 | + | 5.70664i | −0.798033 | + | 0.290460i | ||||
\(387\) | 0.201867 | − | 0.349643i | 0.0102615 | − | 0.0177734i | ||||
\(388\) | 0.766044 | + | 1.32683i | 0.0388900 | + | 0.0673595i | ||||
\(389\) | −19.2645 | − | 16.1648i | −0.976746 | − | 0.819588i | 0.00684888 | − | 0.999977i | \(-0.497820\pi\) |
−0.983595 | + | 0.180389i | \(0.942264\pi\) | |||||||
\(390\) | 3.75877 | + | 3.15398i | 0.190333 | + | 0.159708i | ||||
\(391\) | 3.66044 | + | 6.34008i | 0.185117 | + | 0.320631i | ||||
\(392\) | −9.32295 | + | 16.1478i | −0.470880 | + | 0.815588i | ||||
\(393\) | −17.4474 | + | 6.35035i | −0.880107 | + | 0.320333i | ||||
\(394\) | 2.25578 | + | 12.7931i | 0.113644 | + | 0.644510i | ||||
\(395\) | −0.778371 | + | 4.41436i | −0.0391641 | + | 0.222111i | ||||
\(396\) | 0.705737 | + | 0.256867i | 0.0354646 | + | 0.0129081i | ||||
\(397\) | 5.03003 | − | 4.22070i | 0.252450 | − | 0.211831i | −0.507776 | − | 0.861489i | \(-0.669532\pi\) |
0.760226 | + | 0.649658i | \(0.225088\pi\) | |||||||
\(398\) | 17.1925 | 0.861784 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | −22.6065 | + | 18.9691i | −1.12892 | + | 0.947273i | −0.999020 | − | 0.0442543i | \(-0.985909\pi\) |
−0.129896 | + | 0.991528i | \(0.541464\pi\) | |||||||
\(402\) | −2.47906 | − | 0.902302i | −0.123644 | − | 0.0450028i | ||||
\(403\) | −0.0837781 | + | 0.475129i | −0.00417329 | + | 0.0236679i | ||||
\(404\) | 1.53209 | + | 8.68891i | 0.0762243 | + | 0.432289i | ||||
\(405\) | 19.3824 | − | 7.05461i | 0.963118 | − | 0.350546i | ||||
\(406\) | −21.4047 | + | 37.0740i | −1.06230 | + | 1.83995i | ||||
\(407\) | 3.40373 | + | 5.89544i | 0.168717 | + | 0.292226i | ||||
\(408\) | −3.43969 | − | 2.88624i | −0.170290 | − | 0.142890i | ||||
\(409\) | 16.1873 | + | 13.5828i | 0.800411 | + | 0.671625i | 0.948299 | − | 0.317379i | \(-0.102803\pi\) |
−0.147887 | + | 0.989004i | \(0.547247\pi\) | |||||||
\(410\) | 1.53209 | + | 2.65366i | 0.0756645 | + | 0.131055i | ||||
\(411\) | 5.07145 | − | 8.78401i | 0.250156 | − | 0.433283i | ||||
\(412\) | 6.71688 | − | 2.44474i | 0.330917 | − | 0.120444i | ||||
\(413\) | 0.630415 | + | 3.57526i | 0.0310207 | + | 0.175927i | ||||
\(414\) | −0.283119 | + | 1.60565i | −0.0139145 | + | 0.0789132i | ||||
\(415\) | 7.49020 | + | 2.72621i | 0.367679 | + | 0.133824i | ||||
\(416\) | −1.00000 | + | 0.839100i | −0.0490290 | + | 0.0411402i | ||||
\(417\) | 4.39693 | 0.215318 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −27.8830 | −1.36217 | −0.681087 | − | 0.732202i | \(-0.738492\pi\) | ||||
−0.681087 | + | 0.732202i | \(0.738492\pi\) | |||||||
\(420\) | −14.5817 | + | 12.2355i | −0.711515 | + | 0.597032i | ||||
\(421\) | 0.0418891 | + | 0.0152464i | 0.00204155 | + | 0.000743063i | 0.343041 | − | 0.939321i | \(-0.388543\pi\) |
−0.340999 | + | 0.940064i | \(0.610765\pi\) | |||||||
\(422\) | −2.79726 | + | 15.8640i | −0.136168 | + | 0.772249i | ||||
\(423\) | −0.943563 | − | 5.35121i | −0.0458776 | − | 0.260185i | ||||
\(424\) | −1.57398 | + | 0.572881i | −0.0764391 | + | 0.0278216i | ||||
\(425\) | 1.19459 | − | 2.06910i | 0.0579463 | − | 0.100366i | ||||
\(426\) | −5.98545 | − | 10.3671i | −0.289996 | − | 0.502288i | ||||
\(427\) | 37.8580 | + | 31.7667i | 1.83208 | + | 1.53730i | ||||
\(428\) | −7.17752 | − | 6.02265i | −0.346938 | − | 0.291116i | ||||
\(429\) | 1.73143 | + | 2.99892i | 0.0835942 | + | 0.144789i | ||||
\(430\) | 0.758770 | − | 1.31423i | 0.0365912 | − | 0.0633778i | ||||
\(431\) | 11.0770 | − | 4.03169i | 0.533559 | − | 0.194200i | −0.0611678 | − | 0.998127i | \(-0.519482\pi\) |
0.594727 | + | 0.803928i | \(0.297260\pi\) | |||||||
\(432\) | 0.805407 | + | 4.56769i | 0.0387502 | + | 0.219763i | ||||
\(433\) | 4.80066 | − | 27.2259i | 0.230705 | − | 1.30839i | −0.620768 | − | 0.783994i | \(-0.713179\pi\) |
0.851473 | − | 0.524399i | \(-0.175710\pi\) | |||||||
\(434\) | −1.75877 | − | 0.640140i | −0.0844237 | − | 0.0307277i | ||||
\(435\) | −24.3405 | + | 20.4241i | −1.16704 | + | 0.979260i | ||||
\(436\) | 11.0642 | 0.529878 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 8.56893 | 0.409439 | ||||||||
\(439\) | 28.6878 | − | 24.0719i | 1.36919 | − | 1.14889i | 0.396171 | − | 0.918177i | \(-0.370339\pi\) |
0.973022 | − | 0.230713i | \(-0.0741059\pi\) | |||||||
\(440\) | 2.65270 | + | 0.965505i | 0.126463 | + | 0.0460287i | ||||
\(441\) | 1.72281 | − | 9.77055i | 0.0820386 | − | 0.465264i | ||||
\(442\) | −0.541584 | − | 3.07148i | −0.0257605 | − | 0.146095i | ||||
\(443\) | −19.7224 | + | 7.17837i | −0.937040 | + | 0.341054i | −0.764996 | − | 0.644035i | \(-0.777259\pi\) |
−0.172043 | + | 0.985089i | \(0.555037\pi\) | |||||||
\(444\) | 4.53209 | − | 7.84981i | 0.215083 | − | 0.372535i | ||||
\(445\) | 10.6459 | + | 18.4392i | 0.504664 | + | 0.874104i | ||||
\(446\) | 3.12836 | + | 2.62500i | 0.148132 | + | 0.124297i | ||||
\(447\) | 20.6878 | + | 17.3591i | 0.978499 | + | 0.821058i | ||||
\(448\) | −2.53209 | − | 4.38571i | −0.119630 | − | 0.207205i | ||||
\(449\) | 10.9474 | − | 18.9615i | 0.516641 | − | 0.894849i | −0.483172 | − | 0.875525i | \(-0.660515\pi\) |
0.999813 | − | 0.0193235i | \(-0.00615126\pi\) | |||||||
\(450\) | 0.500000 | − | 0.181985i | 0.0235702 | − | 0.00857886i | ||||
\(451\) | 0.375515 | + | 2.12965i | 0.0176823 | + | 0.100281i | ||||
\(452\) | −2.30928 | + | 13.0966i | −0.108619 | + | 0.616011i | ||||
\(453\) | −36.8016 | − | 13.3947i | −1.72909 | − | 0.629337i | ||||
\(454\) | 10.4645 | − | 8.78076i | 0.491124 | − | 0.412102i | ||||
\(455\) | −13.2216 | −0.619840 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.0496 | −0.610436 | −0.305218 | − | 0.952283i | \(-0.598729\pi\) | ||||
−0.305218 | + | 0.952283i | \(0.598729\pi\) | |||||||
\(458\) | −4.00000 | + | 3.35640i | −0.186908 | + | 0.156834i | ||||
\(459\) | −10.4131 | − | 3.79007i | −0.486043 | − | 0.176905i | ||||
\(460\) | −1.06418 | + | 6.03525i | −0.0496175 | + | 0.281395i | ||||
\(461\) | 0.765578 | + | 4.34181i | 0.0356565 | + | 0.202218i | 0.997432 | − | 0.0716215i | \(-0.0228174\pi\) |
−0.961775 | + | 0.273840i | \(0.911706\pi\) | |||||||
\(462\) | −12.6236 | + | 4.59462i | −0.587303 | + | 0.213761i | ||||
\(463\) | −13.3327 | + | 23.0930i | −0.619625 | + | 1.07322i | 0.369929 | + | 0.929060i | \(0.379382\pi\) |
−0.989554 | + | 0.144162i | \(0.953951\pi\) | |||||||
\(464\) | −4.22668 | − | 7.32083i | −0.196219 | − | 0.339861i | ||||
\(465\) | −1.06418 | − | 0.892951i | −0.0493501 | − | 0.0414096i | ||||
\(466\) | −20.7160 | − | 17.3828i | −0.959650 | − | 0.805242i | ||||
\(467\) | −15.0569 | − | 26.0793i | −0.696750 | − | 1.20681i | −0.969587 | − | 0.244747i | \(-0.921295\pi\) |
0.272837 | − | 0.962060i | \(-0.412038\pi\) | |||||||
\(468\) | 0.347296 | − | 0.601535i | 0.0160538 | − | 0.0278060i | ||||
\(469\) | 6.68004 | − | 2.43134i | 0.308456 | − | 0.112269i | ||||
\(470\) | −3.54664 | − | 20.1140i | −0.163594 | − | 0.927789i | ||||
\(471\) | −2.07873 | + | 11.7890i | −0.0957826 | + | 0.543210i | ||||
\(472\) | −0.673648 | − | 0.245188i | −0.0310072 | − | 0.0112857i | ||||
\(473\) | 0.820422 | − | 0.688416i | 0.0377230 | − | 0.0316534i | ||||
\(474\) | 4.21213 | 0.193470 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.0993 | 0.554569 | ||||||||
\(477\) | 0.682733 | − | 0.572881i | 0.0312602 | − | 0.0262304i | ||||
\(478\) | 0.268571 | + | 0.0977517i | 0.0122841 | + | 0.00447106i | ||||
\(479\) | 1.41828 | − | 8.04347i | 0.0648029 | − | 0.367516i | −0.935110 | − | 0.354356i | \(-0.884700\pi\) |
0.999913 | − | 0.0131594i | \(-0.00418888\pi\) | |||||||
\(480\) | −0.652704 | − | 3.70167i | −0.0297917 | − | 0.168957i | ||||
\(481\) | 5.91622 | − | 2.15333i | 0.269756 | − | 0.0981833i | ||||
\(482\) | −1.55051 | + | 2.68556i | −0.0706237 | + | 0.122324i | ||||
\(483\) | −14.5817 | − | 25.2563i | −0.663491 | − | 1.14920i | ||||
\(484\) | −6.90033 | − | 5.79006i | −0.313651 | − | 0.263185i | ||||
\(485\) | −2.34730 | − | 1.96962i | −0.106585 | − | 0.0894356i | ||||
\(486\) | −2.73396 | − | 4.73535i | −0.124015 | − | 0.214800i | ||||
\(487\) | −13.2935 | + | 23.0251i | −0.602388 | + | 1.04337i | 0.390070 | + | 0.920785i | \(0.372451\pi\) |
−0.992458 | + | 0.122582i | \(0.960883\pi\) | |||||||
\(488\) | −9.17024 | + | 3.33770i | −0.415117 | + | 0.151090i | ||||
\(489\) | −1.54411 | − | 8.75709i | −0.0698271 | − | 0.396009i | ||||
\(490\) | 6.47565 | − | 36.7252i | 0.292540 | − | 1.65908i | ||||
\(491\) | −36.4873 | − | 13.2803i | −1.64665 | − | 0.599331i | −0.658465 | − | 0.752612i | \(-0.728794\pi\) |
−0.988183 | + | 0.153281i | \(0.951016\pi\) | |||||||
\(492\) | 2.20574 | − | 1.85083i | 0.0994423 | − | 0.0834420i | ||||
\(493\) | 20.1967 | 0.909611 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.50206 | −0.0675125 | ||||||||
\(496\) | 0.283119 | − | 0.237565i | 0.0127124 | − | 0.0106670i | ||||
\(497\) | 30.3114 | + | 11.0324i | 1.35965 | + | 0.494873i | ||||
\(498\) | 1.30066 | − | 7.37641i | 0.0582839 | − | 0.330545i | ||||
\(499\) | 3.58734 | + | 20.3448i | 0.160592 | + | 0.910760i | 0.953494 | + | 0.301412i | \(0.0974578\pi\) |
−0.792903 | + | 0.609348i | \(0.791431\pi\) | |||||||
\(500\) | 11.2763 | − | 4.10424i | 0.504292 | − | 0.183547i | ||||
\(501\) | 16.2344 | − | 28.1188i | 0.725301 | − | 1.25626i | ||||
\(502\) | 6.32888 | + | 10.9619i | 0.282472 | + | 0.489255i | ||||
\(503\) | 0.0564370 | + | 0.0473563i | 0.00251640 | + | 0.00211151i | 0.644045 | − | 0.764988i | \(-0.277255\pi\) |
−0.641529 | + | 0.767099i | \(0.721699\pi\) | |||||||
\(504\) | 2.06418 | + | 1.73205i | 0.0919458 | + | 0.0771517i | ||||
\(505\) | −8.82295 | − | 15.2818i | −0.392616 | − | 0.680031i | ||||
\(506\) | −2.16250 | + | 3.74557i | −0.0961350 | + | 0.166511i | ||||
\(507\) | −19.9491 | + | 7.26087i | −0.885970 | + | 0.322467i | ||||
\(508\) | −0.992259 | − | 5.62738i | −0.0440244 | − | 0.249675i | ||||
\(509\) | 2.60813 | − | 14.7914i | 0.115603 | − | 0.655618i | −0.870847 | − | 0.491555i | \(-0.836429\pi\) |
0.986450 | − | 0.164063i | \(-0.0524601\pi\) | |||||||
\(510\) | 8.43882 | + | 3.07148i | 0.373677 | + | 0.136007i | ||||
\(511\) | −17.6878 | + | 14.8418i | −0.782462 | + | 0.656563i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −30.3928 | −1.34057 | ||||||||
\(515\) | −10.9513 | + | 9.18923i | −0.482572 | + | 0.404926i | ||||
\(516\) | −1.34002 | − | 0.487728i | −0.0589912 | − | 0.0214710i | ||||
\(517\) | 2.50299 | − | 14.1952i | 0.110082 | − | 0.624303i | ||||
\(518\) | 4.24123 | + | 24.0532i | 0.186349 | + | 1.05684i | ||||
\(519\) | 33.2422 | − | 12.0992i | 1.45917 | − | 0.531094i | ||||
\(520\) | 1.30541 | − | 2.26103i | 0.0572459 | − | 0.0991528i | ||||
\(521\) | −22.5856 | − | 39.1194i | −0.989493 | − | 1.71385i | −0.619959 | − | 0.784634i | \(-0.712851\pi\) |
−0.369533 | − | 0.929217i | \(-0.620482\pi\) | |||||||
\(522\) | 3.44562 | + | 2.89122i | 0.150811 | + | 0.126545i | ||||
\(523\) | 0.128356 | + | 0.107703i | 0.00561260 | + | 0.00470953i | 0.645590 | − | 0.763685i | \(-0.276612\pi\) |
−0.639977 | + | 0.768394i | \(0.721056\pi\) | |||||||
\(524\) | 4.93969 | + | 8.55580i | 0.215791 | + | 0.373762i | ||||
\(525\) | −4.75877 | + | 8.24243i | −0.207690 | + | 0.359729i | ||||
\(526\) | −20.5817 | + | 7.49113i | −0.897406 | + | 0.326629i | ||||
\(527\) | 0.153333 | + | 0.869592i | 0.00667927 | + | 0.0378800i | ||||
\(528\) | 0.460637 | − | 2.61240i | 0.0200467 | − | 0.113690i | ||||
\(529\) | 12.7900 | + | 4.65517i | 0.556086 | + | 0.202399i | ||||
\(530\) | 2.56624 | − | 2.15333i | 0.111470 | − | 0.0935346i | ||||
\(531\) | 0.381445 | 0.0165533 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | 0.0866296 | ||||||||
\(534\) | 15.3268 | − | 12.8607i | 0.663256 | − | 0.556538i | ||||
\(535\) | 17.6091 | + | 6.40917i | 0.761306 | + | 0.277093i | ||||
\(536\) | −0.243756 | + | 1.38241i | −0.0105286 | + | 0.0597109i | ||||
\(537\) | 4.51279 | + | 25.5933i | 0.194741 | + | 1.10443i | ||||
\(538\) | 1.34730 | − | 0.490376i | 0.0580861 | − | 0.0211416i | ||||
\(539\) | 13.1591 | − | 22.7922i | 0.566803 | − | 0.981731i | ||||
\(540\) | −4.63816 | − | 8.03352i | −0.199594 | − | 0.345708i | ||||
\(541\) | −0.751030 | − | 0.630189i | −0.0322893 | − | 0.0270939i | 0.626500 | − | 0.779421i | \(-0.284487\pi\) |
−0.658789 | + | 0.752327i | \(0.728931\pi\) | |||||||
\(542\) | 12.3892 | + | 10.3958i | 0.532161 | + | 0.446536i | ||||
\(543\) | 11.5175 | + | 19.9490i | 0.494265 | + | 0.856092i | ||||
\(544\) | −1.19459 | + | 2.06910i | −0.0512177 | + | 0.0887117i | ||||
\(545\) | −20.7939 | + | 7.56834i | −0.890711 | + | 0.324192i | ||||
\(546\) | 2.15745 | + | 12.2355i | 0.0923304 | + | 0.523632i | ||||
\(547\) | 4.93242 | − | 27.9731i | 0.210895 | − | 1.19604i | −0.676994 | − | 0.735988i | \(-0.736718\pi\) |
0.887889 | − | 0.460057i | \(-0.152171\pi\) | |||||||
\(548\) | −5.07145 | − | 1.84586i | −0.216642 | − | 0.0788511i | ||||
\(549\) | 3.97771 | − | 3.33770i | 0.169765 | − | 0.142449i | ||||
\(550\) | 1.41147 | 0.0601855 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 5.75877 | 0.245110 | ||||||||
\(553\) | −8.69459 | + | 7.29563i | −0.369732 | + | 0.310242i | ||||
\(554\) | −10.4388 | − | 3.79942i | −0.443503 | − | 0.161422i | ||||
\(555\) | −3.14796 | + | 17.8529i | −0.133623 | + | 0.757815i | ||||
\(556\) | −0.406260 | − | 2.30401i | −0.0172292 | − | 0.0977119i | ||||
\(557\) | −33.4834 | + | 12.1870i | −1.41874 | + | 0.516378i | −0.933681 | − | 0.358105i | \(-0.883423\pi\) |
−0.485056 | + | 0.874483i | \(0.661201\pi\) | |||||||
\(558\) | −0.0983261 | + | 0.170306i | −0.00416247 | + | 0.00720962i | ||||
\(559\) | −0.495252 | − | 0.857802i | −0.0209469 | − | 0.0362812i | ||||
\(560\) | 7.75877 | + | 6.51038i | 0.327868 | + | 0.275114i | ||||
\(561\) | 4.85504 | + | 4.07386i | 0.204980 | + | 0.171998i | ||||
\(562\) | −2.12449 | − | 3.67972i | −0.0896160 | − | 0.155219i | ||||
\(563\) | −4.31386 | + | 7.47183i | −0.181808 | + | 0.314900i | −0.942496 | − | 0.334217i | \(-0.891528\pi\) |
0.760688 | + | 0.649117i | \(0.224861\pi\) | |||||||
\(564\) | −18.0351 | + | 6.56423i | −0.759414 | + | 0.276404i | ||||
\(565\) | −4.61856 | − | 26.1931i | −0.194304 | − | 1.10195i | ||||
\(566\) | −0.947433 | + | 5.37316i | −0.0398236 | + | 0.225851i | ||||
\(567\) | 49.0779 | + | 17.8629i | 2.06108 | + | 0.750171i | ||||
\(568\) | −4.87939 | + | 4.09429i | −0.204734 | + | 0.171793i | ||||
\(569\) | 22.3310 | 0.936164 | 0.468082 | − | 0.883685i | \(-0.344945\pi\) | ||||
0.468082 | + | 0.883685i | \(0.344945\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.56448 | −0.400261 | −0.200131 | − | 0.979769i | \(-0.564137\pi\) | ||||
−0.200131 | + | 0.979769i | \(0.564137\pi\) | |||||||
\(572\) | 1.41147 | − | 1.18437i | 0.0590167 | − | 0.0495209i | ||||
\(573\) | −35.4962 | − | 12.9196i | −1.48287 | − | 0.539722i | ||||
\(574\) | −1.34730 | + | 7.64090i | −0.0562351 | + | 0.318925i | ||||
\(575\) | 0.532089 | + | 3.01763i | 0.0221896 | + | 0.125844i | ||||
\(576\) | −0.500000 | + | 0.181985i | −0.0208333 | + | 0.00758271i | ||||
\(577\) | −11.2378 | + | 19.4645i | −0.467837 | + | 0.810317i | −0.999325 | − | 0.0367489i | \(-0.988300\pi\) |
0.531488 | + | 0.847066i | \(0.321633\pi\) | |||||||
\(578\) | 5.64590 | + | 9.77898i | 0.234838 | + | 0.406752i | ||||
\(579\) | −24.0214 | − | 20.1564i | −0.998296 | − | 0.837670i | ||||
\(580\) | 12.9513 | + | 10.8674i | 0.537774 | + | 0.451246i | ||||
\(581\) | 10.0915 | + | 17.4790i | 0.418667 | + | 0.725152i | ||||
\(582\) | −1.43969 | + | 2.49362i | −0.0596772 | + | 0.103364i | ||||
\(583\) | 2.22163 | − | 0.808607i | 0.0920105 | − | 0.0334891i | ||||
\(584\) | −0.791737 | − | 4.49016i | −0.0327623 | − | 0.185804i | ||||
\(585\) | −0.241230 | + | 1.36808i | −0.00997361 | + | 0.0565632i | ||||
\(586\) | −16.7392 | − | 6.09256i | −0.691489 | − | 0.251681i | ||||
\(587\) | 3.17752 | − | 2.66625i | 0.131150 | − | 0.110048i | −0.574853 | − | 0.818257i | \(-0.694941\pi\) |
0.706003 | + | 0.708209i | \(0.250496\pi\) | |||||||
\(588\) | −35.0428 | −1.44514 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.43376 | 0.0590271 | ||||||||
\(591\) | −18.7023 | + | 15.6931i | −0.769311 | + | 0.645529i | ||||
\(592\) | −4.53209 | − | 1.64955i | −0.186268 | − | 0.0677959i | ||||
\(593\) | 1.80897 | − | 10.2592i | 0.0742856 | − | 0.421295i | −0.924873 | − | 0.380277i | \(-0.875829\pi\) |
0.999158 | − | 0.0410180i | \(-0.0130601\pi\) | |||||||
\(594\) | −1.13681 | − | 6.44718i | −0.0466439 | − | 0.264531i | ||||
\(595\) | −22.7392 | + | 8.27638i | −0.932215 | + | 0.339299i | ||||
\(596\) | 7.18479 | − | 12.4444i | 0.294301 | − | 0.509744i | ||||
\(597\) | 16.1557 | + | 27.9825i | 0.661209 | + | 1.14525i | ||||
\(598\) | 3.06418 | + | 2.57115i | 0.125304 | + | 0.105142i | ||||
\(599\) | −30.3783 | − | 25.4904i | −1.24122 | − | 1.04151i | −0.997428 | − | 0.0716820i | \(-0.977163\pi\) |
−0.243794 | − | 0.969827i | \(-0.578392\pi\) | |||||||
\(600\) | −0.939693 | − | 1.62760i | −0.0383628 | − | 0.0664463i | ||||
\(601\) | −11.9324 | + | 20.6676i | −0.486734 | + | 0.843047i | −0.999884 | − | 0.0152517i | \(-0.995145\pi\) |
0.513150 | + | 0.858299i | \(0.328478\pi\) | |||||||
\(602\) | 3.61081 | − | 1.31423i | 0.147166 | − | 0.0535640i | ||||
\(603\) | −0.129700 | − | 0.735564i | −0.00528178 | − | 0.0299545i | ||||
\(604\) | −3.61856 | + | 20.5218i | −0.147237 | + | 0.835022i | ||||
\(605\) | 16.9290 | + | 6.16166i | 0.688262 | + | 0.250507i | ||||
\(606\) | −12.7023 | + | 10.6585i | −0.515997 | + | 0.432973i | ||||
\(607\) | −29.9317 | −1.21489 | −0.607445 | − | 0.794362i | \(-0.707806\pi\) | ||||
−0.607445 | + | 0.794362i | \(0.707806\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −80.4552 | −3.26021 | ||||||||
\(610\) | 14.9513 | − | 12.5456i | 0.605361 | − | 0.507958i | ||||
\(611\) | −12.5270 | − | 4.55947i | −0.506790 | − | 0.184456i | ||||
\(612\) | 0.220752 | − | 1.25195i | 0.00892336 | − | 0.0506069i | ||||
\(613\) | −6.17799 | − | 35.0371i | −0.249526 | − | 1.41513i | −0.809741 | − | 0.586787i | \(-0.800392\pi\) |
0.560215 | − | 0.828348i | \(-0.310719\pi\) | |||||||
\(614\) | 26.9304 | − | 9.80185i | 1.08682 | − | 0.395570i | ||||
\(615\) | −2.87939 | + | 4.98724i | −0.116108 | + | 0.201105i | ||||
\(616\) | 3.57398 | + | 6.19031i | 0.144000 | + | 0.249415i | ||||
\(617\) | 9.21735 | + | 7.73427i | 0.371076 | + | 0.311370i | 0.809187 | − | 0.587551i | \(-0.199908\pi\) |
−0.438111 | + | 0.898921i | \(0.644352\pi\) | |||||||
\(618\) | 10.2909 | + | 8.63506i | 0.413959 | + | 0.347353i | ||||
\(619\) | 8.55644 | + | 14.8202i | 0.343912 | + | 0.595673i | 0.985156 | − | 0.171664i | \(-0.0549144\pi\) |
−0.641243 | + | 0.767338i | \(0.721581\pi\) | |||||||
\(620\) | −0.369585 | + | 0.640140i | −0.0148429 | + | 0.0257086i | ||||
\(621\) | 13.3550 | − | 4.86084i | 0.535919 | − | 0.195059i | ||||
\(622\) | 2.74598 | + | 15.5732i | 0.110104 | + | 0.624429i | ||||
\(623\) | −9.36184 | + | 53.0937i | −0.375074 | + | 2.12715i | ||||
\(624\) | −2.30541 | − | 0.839100i | −0.0922902 | − | 0.0335909i | ||||
\(625\) | −14.5548 | + | 12.2130i | −0.582194 | + | 0.488519i | ||||
\(626\) | 13.1402 | 0.525189 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.36959 | 0.254174 | ||||||||
\(629\) | 8.82707 | − | 7.40679i | 0.351958 | − | 0.295328i | ||||
\(630\) | −5.06418 | − | 1.84321i | −0.201762 | − | 0.0734352i | ||||
\(631\) | 3.18479 | − | 18.0619i | 0.126785 | − | 0.719031i | −0.853447 | − | 0.521179i | \(-0.825492\pi\) |
0.980232 | − | 0.197852i | \(-0.0633965\pi\) | |||||||
\(632\) | −0.389185 | − | 2.20718i | −0.0154810 | − | 0.0877969i | ||||
\(633\) | −28.4488 | + | 10.3545i | −1.13074 | + | 0.411555i | ||||
\(634\) | 10.7023 | − | 18.5370i | 0.425044 | − | 0.736198i | ||||
\(635\) | 5.71419 | + | 9.89727i | 0.226761 | + | 0.392761i | ||||
\(636\) | −2.41147 | − | 2.02347i | −0.0956212 | − | 0.0802357i | ||||
\(637\) | −18.6459 | − | 15.6458i | −0.738777 | − | 0.619908i | ||||
\(638\) | 5.96585 | + | 10.3332i | 0.236190 | + | 0.409094i | ||||
\(639\) | 1.69459 | − | 2.93512i | 0.0670371 | − | 0.116112i | ||||
\(640\) | −1.87939 | + | 0.684040i | −0.0742892 | + | 0.0270391i | ||||
\(641\) | −5.41400 | − | 30.7043i | −0.213840 | − | 1.21275i | −0.882908 | − | 0.469546i | \(-0.844417\pi\) |
0.669068 | − | 0.743201i | \(-0.266694\pi\) | |||||||
\(642\) | 3.05778 | − | 17.3415i | 0.120681 | − | 0.684416i | ||||
\(643\) | 30.0228 | + | 10.9274i | 1.18398 | + | 0.430934i | 0.857607 | − | 0.514306i | \(-0.171950\pi\) |
0.326375 | + | 0.945240i | \(0.394173\pi\) | |||||||
\(644\) | −11.8871 | + | 9.97448i | −0.468418 | + | 0.393050i | ||||
\(645\) | 2.85204 | 0.112299 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.99588 | 0.117780 | 0.0588901 | − | 0.998264i | \(-0.481244\pi\) | ||||
0.0588901 | + | 0.998264i | \(0.481244\pi\) | |||||||
\(648\) | −7.90033 | + | 6.62916i | −0.310354 | + | 0.260418i | ||||
\(649\) | 0.950837 | + | 0.346076i | 0.0373236 | + | 0.0135847i | ||||
\(650\) | 0.226682 | − | 1.28558i | 0.00889118 | − | 0.0504244i | ||||
\(651\) | −0.610815 | − | 3.46410i | −0.0239397 | − | 0.135769i | ||||
\(652\) | −4.44609 | + | 1.61824i | −0.174122 | + | 0.0633753i | ||||
\(653\) | −0.467911 | + | 0.810446i | −0.0183108 | + | 0.0317152i | −0.875036 | − | 0.484059i | \(-0.839162\pi\) |
0.856725 | + | 0.515774i | \(0.172495\pi\) | |||||||
\(654\) | 10.3969 | + | 18.0080i | 0.406552 | + | 0.704169i | ||||
\(655\) | −15.1361 | − | 12.7007i | −0.591416 | − | 0.496257i | ||||
\(656\) | −1.17365 | − | 0.984808i | −0.0458233 | − | 0.0384503i | ||||
\(657\) | 1.21301 | + | 2.10100i | 0.0473241 | + | 0.0819677i | ||||
\(658\) | 25.8580 | − | 44.7874i | 1.00805 | − | 1.74600i | ||||
\(659\) | 11.4991 | − | 4.18534i | 0.447942 | − | 0.163038i | −0.108192 | − | 0.994130i | \(-0.534506\pi\) |
0.556134 | + | 0.831092i | \(0.312284\pi\) | |||||||
\(660\) | 0.921274 | + | 5.22481i | 0.0358606 | + | 0.203375i | ||||
\(661\) | −2.07604 | + | 11.7738i | −0.0807485 | + | 0.457947i | 0.917445 | + | 0.397863i | \(0.130248\pi\) |
−0.998193 | + | 0.0600844i | \(0.980863\pi\) | |||||||
\(662\) | 23.8662 | + | 8.68658i | 0.927585 | + | 0.337614i | ||||
\(663\) | 4.49020 | − | 3.76773i | 0.174385 | − | 0.146326i | ||||
\(664\) | −3.98545 | −0.154666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.56624 | 0.0994397 | ||||||||
\(667\) | −19.8425 | + | 16.6499i | −0.768307 | + | 0.644686i | ||||
\(668\) | −16.2344 | − | 5.90885i | −0.628129 | − | 0.228620i | ||||
\(669\) | −1.33275 | + | 7.55839i | −0.0515270 | + | 0.292224i | ||||
\(670\) | −0.487511 | − | 2.76481i | −0.0188342 | − | 0.106814i | ||||
\(671\) | 12.9436 | − | 4.71107i | 0.499681 | − | 0.181869i | ||||
\(672\) | 4.75877 | − | 8.24243i | 0.183574 | − | 0.317959i | ||||
\(673\) | −22.4317 | − | 38.8529i | −0.864679 | − | 1.49767i | −0.867366 | − | 0.497671i | \(-0.834189\pi\) |
0.00268731 | − | 0.999996i | \(-0.499145\pi\) | |||||||
\(674\) | 20.2062 | + | 16.9550i | 0.778314 | + | 0.653083i | ||||
\(675\) | −3.55303 | − | 2.98135i | −0.136756 | − | 0.114752i | ||||
\(676\) | 5.64796 | + | 9.78255i | 0.217229 | + | 0.376252i | ||||
\(677\) | −0.472964 | + | 0.819197i | −0.0181775 | + | 0.0314843i | −0.874971 | − | 0.484175i | \(-0.839120\pi\) |
0.856794 | + | 0.515660i | \(0.172453\pi\) | |||||||
\(678\) | −23.4859 | + | 8.54818i | −0.901971 | + | 0.328291i | ||||
\(679\) | −1.34730 | − | 7.64090i | −0.0517045 | − | 0.293231i | ||||
\(680\) | 0.829755 | − | 4.70578i | 0.0318197 | − | 0.180458i | ||||
\(681\) | 24.1250 | + | 8.78076i | 0.924470 | + | 0.336480i | ||||
\(682\) | −0.399615 | + | 0.335316i | −0.0153020 | + | 0.0128399i | ||||
\(683\) | −5.92221 | −0.226607 | −0.113303 | − | 0.993560i | \(-0.536143\pi\) | ||||
−0.113303 | + | 0.993560i | \(0.536143\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.7939 | 0.412412 | ||||||||
\(686\) | 45.1789 | − | 37.9096i | 1.72494 | − | 1.44740i | ||||
\(687\) | −9.22163 | − | 3.35640i | −0.351827 | − | 0.128055i | ||||
\(688\) | −0.131759 | + | 0.747243i | −0.00502327 | + | 0.0284884i | ||||
\(689\) | −0.379690 | − | 2.15333i | −0.0144650 | − | 0.0820353i | ||||
\(690\) | −10.8229 | + | 3.93923i | −0.412023 | + | 0.149964i | ||||
\(691\) | −0.103074 | + | 0.178529i | −0.00392111 | + | 0.00679156i | −0.867979 | − | 0.496600i | \(-0.834581\pi\) |
0.864058 | + | 0.503392i | \(0.167915\pi\) | |||||||
\(692\) | −9.41147 | − | 16.3012i | −0.357771 | − | 0.619677i | ||||
\(693\) | −2.91353 | − | 2.44474i | −0.110676 | − | 0.0928682i | ||||
\(694\) | −19.6348 | − | 16.4755i | −0.745325 | − | 0.625402i | ||||
\(695\) | 2.33956 | + | 4.05223i | 0.0887444 | + | 0.153710i | ||||
\(696\) | 7.94356 | − | 13.7587i | 0.301100 | − | 0.521520i | ||||
\(697\) | 3.43969 | − | 1.25195i | 0.130288 | − | 0.0474208i | ||||
\(698\) | −1.01455 | − | 5.75379i | −0.0384012 | − | 0.217784i | ||||
\(699\) | 8.82547 | − | 50.0518i | 0.333810 | − | 1.89313i | ||||
\(700\) | 4.75877 | + | 1.73205i | 0.179865 | + | 0.0654654i | ||||
\(701\) | 3.34730 | − | 2.80872i | 0.126426 | − | 0.106084i | −0.577383 | − | 0.816474i | \(-0.695926\pi\) |
0.703808 | + | 0.710390i | \(0.251481\pi\) | |||||||
\(702\) | −6.05468 | −0.228519 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −1.41147 | −0.0531969 | ||||||||
\(705\) | 29.4047 | − | 24.6734i | 1.10744 | − | 0.929256i | ||||
\(706\) | 21.0582 | + | 7.66458i | 0.792538 | + | 0.288460i | ||||
\(707\) | 7.75877 | − | 44.0022i | 0.291799 | − | 1.65487i | ||||
\(708\) | −0.233956 | − | 1.32683i | −0.00879259 | − | 0.0498652i | ||||
\(709\) | −8.22668 | + | 2.99427i | −0.308960 | + | 0.112452i | −0.491847 | − | 0.870682i | \(-0.663678\pi\) |
0.182887 | + | 0.983134i | \(0.441456\pi\) | |||||||
\(710\) | 6.36959 | − | 11.0324i | 0.239046 | − | 0.414040i | ||||
\(711\) | 0.596267 | + | 1.03276i | 0.0223617 | + | 0.0387317i | ||||
\(712\) | −8.15523 | − | 6.84305i | −0.305630 | − | 0.256454i | ||||
\(713\) | −0.867526 | − | 0.727940i | −0.0324891 | − | 0.0272616i | ||||
\(714\) | 11.3696 | + | 19.6927i | 0.425496 | + | 0.736981i | ||||
\(715\) | −1.84255 | + | 3.19139i | −0.0689074 | + | 0.119351i | ||||
\(716\) | 12.9941 | − | 4.72945i | 0.485611 | − | 0.176748i | ||||
\(717\) | 0.0932736 | + | 0.528981i | 0.00348337 | + | 0.0197552i | ||||
\(718\) | 1.66994 | − | 9.47070i | 0.0623216 | − | 0.353443i | ||||
\(719\) | 25.9418 | + | 9.44205i | 0.967466 | + | 0.352129i | 0.776955 | − | 0.629556i | \(-0.216763\pi\) |
0.190511 | + | 0.981685i | \(0.438985\pi\) | |||||||
\(720\) | 0.815207 | − | 0.684040i | 0.0303810 | − | 0.0254927i | ||||
\(721\) | −36.1985 | −1.34810 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.82800 | −0.216746 | ||||||||
\(724\) | 9.38919 | − | 7.87846i | 0.348946 | − | 0.292801i | ||||
\(725\) | 7.94356 | + | 2.89122i | 0.295017 | + | 0.107377i | ||||
\(726\) | 2.93969 | − | 16.6718i | 0.109102 | − | 0.618749i | ||||
\(727\) | 4.97266 | + | 28.2013i | 0.184426 | + | 1.04593i | 0.926691 | + | 0.375824i | \(0.122640\pi\) |
−0.742265 | + | 0.670106i | \(0.766249\pi\) | |||||||
\(728\) | 6.21213 | − | 2.26103i | 0.230237 | − | 0.0837994i | ||||
\(729\) | −10.3316 | + | 17.8948i | −0.382651 | + | 0.662770i | ||||
\(730\) | 4.55943 | + | 7.89716i | 0.168752 | + | 0.292287i | ||||
\(731\) | −1.38872 | − | 1.16527i | −0.0513636 | − | 0.0430992i | ||||
\(732\) | −14.0496 | − | 11.7890i | −0.519289 | − | 0.435735i | ||||
\(733\) | −18.4807 | − | 32.0095i | −0.682600 | − | 1.18230i | −0.974184 | − | 0.225753i | \(-0.927516\pi\) |
0.291584 | − | 0.956545i | \(-0.405818\pi\) | |||||||
\(734\) | −11.6800 | + | 20.2304i | −0.431118 | + | 0.746719i | ||||
\(735\) | 65.8590 | − | 23.9707i | 2.42924 | − | 0.884173i | ||||
\(736\) | −0.532089 | − | 3.01763i | −0.0196131 | − | 0.111231i | ||||
\(737\) | 0.344055 | − | 1.95123i | 0.0126734 | − | 0.0718746i | ||||
\(738\) | 0.766044 | + | 0.278817i | 0.0281985 | + | 0.0102634i | ||||
\(739\) | 35.2584 | − | 29.5853i | 1.29700 | − | 1.08831i | 0.306345 | − | 0.951921i | \(-0.400894\pi\) |
0.990655 | − | 0.136391i | \(-0.0435505\pi\) | |||||||
\(740\) | 9.64590 | 0.354590 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 8.48246 | 0.311401 | ||||||||
\(743\) | 20.2317 | − | 16.9764i | 0.742230 | − | 0.622805i | −0.191205 | − | 0.981550i | \(-0.561240\pi\) |
0.933436 | + | 0.358745i | \(0.116795\pi\) | |||||||
\(744\) | 0.652704 | + | 0.237565i | 0.0239293 | + | 0.00870954i | ||||
\(745\) | −4.99050 | + | 28.3026i | −0.182838 | + | 1.03693i | ||||
\(746\) | −4.50475 | − | 25.5477i | −0.164931 | − | 0.935368i | ||||
\(747\) | 1.99273 | − | 0.725293i | 0.0729100 | − | 0.0265371i | ||||
\(748\) | 1.68614 | − | 2.92047i | 0.0616513 | − | 0.106783i | ||||
\(749\) | 23.7246 | + | 41.0923i | 0.866879 | + | 1.50148i | ||||
\(750\) | 17.2763 | + | 14.4965i | 0.630842 | + | 0.529339i | ||||
\(751\) | −20.8188 | − | 17.4691i | −0.759690 | − | 0.637455i | 0.178356 | − | 0.983966i | \(-0.442922\pi\) |
−0.938046 | + | 0.346510i | \(0.887367\pi\) | |||||||
\(752\) | 5.10607 | + | 8.84397i | 0.186199 | + | 0.322506i | ||||
\(753\) | −11.8944 | + | 20.6017i | −0.433456 | + | 0.750768i | ||||
\(754\) | 10.3696 | − | 3.77422i | 0.377638 | − | 0.137449i | ||||
\(755\) | −7.23711 | − | 41.0437i | −0.263385 | − | 1.49373i | ||||
\(756\) | 4.07873 | − | 23.1316i | 0.148342 | − | 0.841288i | ||||
\(757\) | −18.2344 | − | 6.63679i | −0.662741 | − | 0.241218i | −0.0113219 | − | 0.999936i | \(-0.503604\pi\) |
−0.651419 | + | 0.758718i | \(0.725826\pi\) | |||||||
\(758\) | 7.26083 | − | 6.09256i | 0.263725 | − | 0.221292i | ||||
\(759\) | −8.12836 | −0.295041 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 40.2645 | 1.45959 | 0.729793 | − | 0.683669i | \(-0.239617\pi\) | ||||
0.729793 | + | 0.683669i | \(0.239617\pi\) | |||||||
\(762\) | 8.22668 | − | 6.90301i | 0.298021 | − | 0.250070i | ||||
\(763\) | −52.6519 | − | 19.1637i | −1.90613 | − | 0.693773i | ||||
\(764\) | −3.49020 | + | 19.7939i | −0.126271 | + | 0.716118i | ||||
\(765\) | 0.441504 | + | 2.50389i | 0.0159626 | + | 0.0905284i | ||||
\(766\) | 12.6750 | − | 4.61332i | 0.457966 | − | 0.166686i | ||||
\(767\) | 0.467911 | − | 0.810446i | 0.0168953 | − | 0.0292635i | ||||
\(768\) | 0.939693 | + | 1.62760i | 0.0339082 | + | 0.0587308i | ||||
\(769\) | −29.8312 | − | 25.0313i | −1.07574 | − | 0.902652i | −0.0801789 | − | 0.996780i | \(-0.525549\pi\) |
−0.995560 | + | 0.0941283i | \(0.969994\pi\) | |||||||
\(770\) | −10.9513 | − | 9.18923i | −0.394658 | − | 0.331157i | ||||
\(771\) | −28.5599 | − | 49.4672i | −1.02856 | − | 1.78152i | ||||
\(772\) | −8.34255 | + | 14.4497i | −0.300255 | + | 0.520057i | ||||
\(773\) | 6.35504 | − | 2.31304i | 0.228575 | − | 0.0831944i | −0.225194 | − | 0.974314i | \(-0.572302\pi\) |
0.453769 | + | 0.891120i | \(0.350079\pi\) | |||||||
\(774\) | −0.0701076 | − | 0.397600i | −0.00251996 | − | 0.0142914i | ||||
\(775\) | −0.0641778 | + | 0.363970i | −0.00230533 | + | 0.0130742i | ||||
\(776\) | 1.43969 | + | 0.524005i | 0.0516820 | + | 0.0188107i | ||||
\(777\) | −35.1634 | + | 29.5056i | −1.26148 | + | 1.05851i | ||||
\(778\) | −25.1480 | −0.901598 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 4.90673 | 0.175689 | ||||||||
\(781\) | 6.88713 | − | 5.77898i | 0.246441 | − | 0.206788i | ||||
\(782\) | 6.87939 | + | 2.50389i | 0.246006 | + | 0.0895390i | ||||
\(783\) | 6.80840 | − | 38.6124i | 0.243312 | − | 1.37989i | ||||
\(784\) | 3.23783 | + | 18.3626i | 0.115637 | + | 0.655808i | ||||
\(785\) | −11.9709 | + | 4.35705i | −0.427260 | + | 0.155510i | ||||
\(786\) | −9.28359 | + | 16.0796i | −0.331135 | + | 0.573542i | ||||
\(787\) | −2.90239 | − | 5.02709i | −0.103459 | − | 0.179196i | 0.809649 | − | 0.586915i | \(-0.199658\pi\) |
−0.913108 | + | 0.407719i | \(0.866324\pi\) | |||||||
\(788\) | 9.95130 | + | 8.35014i | 0.354501 | + | 0.297461i | ||||
\(789\) | −31.5330 | − | 26.4593i | −1.12261 | − | 0.941978i | ||||
\(790\) | 2.24123 | + | 3.88192i | 0.0797394 | + | 0.138113i | ||||
\(791\) | 33.6732 | − | 58.3238i | 1.19728 | − | 2.07375i | ||||
\(792\) | 0.705737 | − | 0.256867i | 0.0250773 | − | 0.00912738i | ||||
\(793\) | −2.21213 | − | 12.5456i | −0.0785552 | − | 0.445509i | ||||
\(794\) | 1.14022 | − | 6.46648i | 0.0404647 | − | 0.229487i | ||||
\(795\) | 5.91622 | + | 2.15333i | 0.209827 | + | 0.0763707i | ||||
\(796\) | 13.1702 | − | 11.0511i | 0.466807 | − | 0.391698i | ||||
\(797\) | −39.2181 | −1.38918 | −0.694589 | − | 0.719407i | \(-0.744414\pi\) | ||||
−0.694589 | + | 0.719407i | \(0.744414\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −24.3987 | −0.863163 | ||||||||
\(800\) | −0.766044 | + | 0.642788i | −0.0270838 | + | 0.0227260i | ||||
\(801\) | 5.32295 | + | 1.93739i | 0.188077 | + | 0.0684545i | ||||
\(802\) | −5.12449 | + | 29.0624i | −0.180952 | + | 1.02623i | ||||
\(803\) | 1.11752 | + | 6.33775i | 0.0394363 | + | 0.223654i | ||||
\(804\) | −2.47906 | + | 0.902302i | −0.0874295 | + | 0.0318218i | ||||
\(805\) | 15.5175 | − | 26.8772i | 0.546921 | − | 0.947296i | ||||
\(806\) | 0.241230 | + | 0.417822i | 0.00849695 | + | 0.0147171i | ||||
\(807\) | 2.06418 | + | 1.73205i | 0.0726625 | + | 0.0609711i | ||||
\(808\) | 6.75877 | + | 5.67128i | 0.237773 | + | 0.199515i | ||||
\(809\) | −3.50134 | − | 6.06451i | −0.123101 | − | 0.213217i | 0.797888 | − | 0.602805i | \(-0.205950\pi\) |
−0.920989 | + | 0.389589i | \(0.872617\pi\) | |||||||
\(810\) | 10.3131 | − | 17.8629i | 0.362367 | − | 0.627638i | ||||
\(811\) | −41.0506 | + | 14.9412i | −1.44148 | + | 0.524656i | −0.940198 | − | 0.340628i | \(-0.889360\pi\) |
−0.501282 | + | 0.865284i | \(0.667138\pi\) | |||||||
\(812\) | 7.43376 | + | 42.1590i | 0.260874 | + | 1.47949i | ||||
\(813\) | −5.27807 | + | 29.9334i | −0.185110 | + | 1.04981i | ||||
\(814\) | 6.39693 | + | 2.32829i | 0.224212 | + | 0.0816065i | ||||
\(815\) | 7.24897 | − | 6.08261i | 0.253920 | − | 0.213064i | ||||
\(816\) | −4.49020 | −0.157188 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 21.1310 | 0.738830 | ||||||||
\(819\) | −2.69459 | + | 2.26103i | −0.0941567 | + | 0.0790068i | ||||
\(820\) | 2.87939 | + | 1.04801i | 0.100552 | + | 0.0365981i | ||||
\(821\) | 2.15064 | − | 12.1969i | 0.0750580 | − | 0.425675i | −0.924004 | − | 0.382382i | \(-0.875104\pi\) |
0.999062 | − | 0.0432933i | \(-0.0137850\pi\) | |||||||
\(822\) | −1.76130 | − | 9.98881i | −0.0614323 | − | 0.348400i | ||||
\(823\) | 12.0547 | − | 4.38755i | 0.420200 | − | 0.152940i | −0.123262 | − | 0.992374i | \(-0.539336\pi\) |
0.543462 | + | 0.839434i | \(0.317113\pi\) | |||||||
\(824\) | 3.57398 | − | 6.19031i | 0.124505 | − | 0.215650i | ||||
\(825\) | 1.32635 | + | 2.29731i | 0.0461776 | + | 0.0799820i | ||||
\(826\) | 2.78106 | + | 2.33359i | 0.0967654 | + | 0.0811958i | ||||
\(827\) | 19.2251 | + | 16.1318i | 0.668522 | + | 0.560956i | 0.912627 | − | 0.408792i | \(-0.134050\pi\) |
−0.244106 | + | 0.969749i | \(0.578494\pi\) | |||||||
\(828\) | 0.815207 | + | 1.41198i | 0.0283304 | + | 0.0490697i | ||||
\(829\) | −14.1634 | + | 24.5318i | −0.491917 | + | 0.852024i | −0.999957 | − | 0.00930899i | \(-0.997037\pi\) |
0.508040 | + | 0.861333i | \(0.330370\pi\) | |||||||
\(830\) | 7.49020 | − | 2.72621i | 0.259989 | − | 0.0946281i | ||||
\(831\) | −3.62536 | − | 20.5605i | −0.125762 | − | 0.713234i | ||||
\(832\) | −0.226682 | + | 1.28558i | −0.00785877 | + | 0.0445693i | ||||
\(833\) | −41.8619 | − | 15.2365i | −1.45043 | − | 0.527913i | ||||
\(834\) | 3.36824 | − | 2.82629i | 0.116633 | − | 0.0978664i | ||||
\(835\) | 34.5526 | 1.19574 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.71419 | 0.0592512 | ||||||||
\(838\) | −21.3596 | + | 17.9229i | −0.737856 | + | 0.619135i | ||||
\(839\) | 28.5012 | + | 10.3736i | 0.983972 | + | 0.358137i | 0.783383 | − | 0.621539i | \(-0.213492\pi\) |
0.200589 | + | 0.979676i | \(0.435714\pi\) | |||||||
\(840\) | −3.30541 | + | 18.7459i | −0.114047 | + | 0.646795i | ||||
\(841\) | 7.37299 | + | 41.8143i | 0.254241 | + | 1.44187i | ||||
\(842\) | 0.0418891 | − | 0.0152464i | 0.00144359 | − | 0.000525425i | ||||
\(843\) | 3.99273 | − | 6.91560i | 0.137517 | − | 0.238186i | ||||
\(844\) | 8.05438 | + | 13.9506i | 0.277243 | + | 0.480199i | ||||
\(845\) | −17.3063 | − | 14.5217i | −0.595356 | − | 0.499563i | ||||
\(846\) | −4.16250 | − | 3.49276i | −0.143110 | − | 0.120083i | ||||
\(847\) | 22.8084 | + | 39.5053i | 0.783706 | + | 1.35742i | ||||
\(848\) | −0.837496 | + | 1.45059i | −0.0287597 | + | 0.0498133i | ||||
\(849\) | −9.63563 | + | 3.50708i | −0.330694 | + | 0.120363i | ||||
\(850\) | −0.414878 | − | 2.35289i | −0.0142302 | − | 0.0807034i | ||||
\(851\) | −2.56624 | + | 14.5539i | −0.0879695 | + | 0.498900i | ||||
\(852\) | −11.2490 | − | 4.09429i | −0.385383 | − | 0.140268i | ||||
\(853\) | −33.4243 | + | 28.0463i | −1.14443 | + | 0.960287i | −0.999575 | − | 0.0291668i | \(-0.990715\pi\) |
−0.144851 | + | 0.989454i | \(0.546270\pi\) | |||||||
\(854\) | 49.4201 | 1.69112 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.36959 | −0.320246 | ||||||||
\(857\) | −24.1379 | + | 20.2541i | −0.824535 | + | 0.691867i | −0.954029 | − | 0.299713i | \(-0.903109\pi\) |
0.129494 | + | 0.991580i | \(0.458665\pi\) | |||||||
\(858\) | 3.25402 | + | 1.18437i | 0.111091 | + | 0.0404336i | ||||
\(859\) | −3.24685 | + | 18.4138i | −0.110781 | + | 0.628272i | 0.877972 | + | 0.478713i | \(0.158896\pi\) |
−0.988753 | + | 0.149559i | \(0.952215\pi\) | |||||||
\(860\) | −0.263518 | − | 1.49449i | −0.00898590 | − | 0.0509616i | ||||
\(861\) | −13.7023 | + | 4.98724i | −0.466974 | + | 0.169965i | ||||
\(862\) | 5.89393 | − | 10.2086i | 0.200748 | − | 0.347706i | ||||
\(863\) | −5.31315 | − | 9.20264i | −0.180862 | − | 0.313262i | 0.761313 | − | 0.648385i | \(-0.224555\pi\) |
−0.942174 | + | 0.335123i | \(0.891222\pi\) | |||||||
\(864\) | 3.55303 | + | 2.98135i | 0.120877 | + | 0.101428i | ||||
\(865\) | 28.8384 | + | 24.1983i | 0.980536 | + | 0.822767i | ||||
\(866\) | −13.8229 | − | 23.9420i | −0.469723 | − | 0.813584i | ||||
\(867\) | −10.6108 | + | 18.3785i | −0.360362 | + | 0.624166i | ||||
\(868\) | −1.75877 | + | 0.640140i | −0.0596966 | + | 0.0217278i | ||||
\(869\) | 0.549325 | + | 3.11538i | 0.0186346 | + | 0.105682i | ||||
\(870\) | −5.51754 | + | 31.2915i | −0.187062 | + | 1.06088i | ||||
\(871\) | −1.72193 | − | 0.626733i | −0.0583455 | − | 0.0212360i | ||||
\(872\) | 8.47565 | − | 7.11192i | 0.287022 | − | 0.240840i | ||||
\(873\) | −0.815207 | −0.0275906 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −60.7701 | −2.05441 | ||||||||
\(876\) | 6.56418 | − | 5.50800i | 0.221783 | − | 0.186098i | ||||
\(877\) | −42.1908 | − | 15.3562i | −1.42468 | − | 0.518542i | −0.489279 | − | 0.872127i | \(-0.662740\pi\) |
−0.935402 | + | 0.353586i | \(0.884962\pi\) | |||||||
\(878\) | 6.50299 | − | 36.8803i | 0.219465 | − | 1.24465i | ||||
\(879\) | −5.81345 | − | 32.9697i | −0.196083 | − | 1.11204i | ||||
\(880\) | 2.65270 | − | 0.965505i | 0.0894226 | − | 0.0325472i | ||||
\(881\) | 9.00821 | − | 15.6027i | 0.303494 | − | 0.525667i | −0.673431 | − | 0.739250i | \(-0.735180\pi\) |
0.976925 | + | 0.213583i | \(0.0685134\pi\) | |||||||
\(882\) | −4.96064 | − | 8.59208i | −0.167033 | − | 0.289310i | ||||
\(883\) | −35.6962 | − | 29.9527i | −1.20127 | − | 1.00799i | −0.999593 | − | 0.0285375i | \(-0.990915\pi\) |
−0.201681 | − | 0.979451i | \(-0.564641\pi\) | |||||||
\(884\) | −2.38919 | − | 2.00476i | −0.0803570 | − | 0.0674275i | ||||
\(885\) | 1.34730 | + | 2.33359i | 0.0452889 | + | 0.0784426i | ||||
\(886\) | −10.4941 | + | 18.1763i | −0.352555 | + | 0.610643i | ||||
\(887\) | −6.65270 | + | 2.42139i | −0.223376 | + | 0.0813022i | −0.451284 | − | 0.892381i | \(-0.649034\pi\) |
0.227908 | + | 0.973683i | \(0.426812\pi\) | |||||||
\(888\) | −1.57398 | − | 8.92647i | −0.0528192 | − | 0.299553i | ||||
\(889\) | −5.02498 | + | 28.4981i | −0.168532 | + | 0.955794i | ||||
\(890\) | 20.0077 | + | 7.28222i | 0.670661 | + | 0.244101i | ||||
\(891\) | 11.1511 | − | 9.35689i | 0.373576 | − | 0.313468i | ||||
\(892\) | 4.08378 | 0.136735 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 27.0060 | 0.903215 | ||||||||
\(895\) | −21.1857 | + | 17.7769i | −0.708161 | + | 0.594217i | ||||
\(896\) | −4.75877 | − | 1.73205i | −0.158979 | − | 0.0578638i | ||||
\(897\) | −1.30541 | + | 7.40333i | −0.0435863 | + | 0.247190i | ||||
\(898\) | −3.80200 | − | 21.5622i | −0.126875 | − | 0.719541i | ||||
\(899\) | −2.93582 | + | 1.06855i | −0.0979152 | + | 0.0356382i | ||||
\(900\) | 0.266044 | − | 0.460802i | 0.00886815 | − | 0.0153601i | ||||
\(901\) | −2.00093 | − | 3.46572i | −0.0666608 | − | 0.115460i | ||||
\(902\) | 1.65657 | + | 1.39003i | 0.0551579 | + | 0.0462830i | ||||
\(903\) | 5.53209 | + | 4.64197i | 0.184096 | + | 0.154475i | ||||
\(904\) | 6.64930 | + | 11.5169i | 0.221152 | + | 0.383047i | ||||
\(905\) | −12.2567 | + | 21.2292i | −0.407427 | + | 0.705684i | ||||
\(906\) | −36.8016 | + | 13.3947i | −1.22265 | + | 0.445009i | ||||
\(907\) | 2.62479 | + | 14.8859i | 0.0871547 | + | 0.494279i | 0.996871 | + | 0.0790481i | \(0.0251881\pi\) |
−0.909716 | + | 0.415231i | \(0.863701\pi\) | |||||||
\(908\) | 2.37211 | − | 13.4529i | 0.0787213 | − | 0.446451i | ||||
\(909\) | −4.41147 | − | 1.60565i | −0.146319 | − | 0.0532559i | ||||
\(910\) | −10.1284 | + | 8.49870i | −0.335752 | + | 0.281729i | ||||
\(911\) | −12.8366 | −0.425294 | −0.212647 | − | 0.977129i | \(-0.568208\pi\) | ||||
−0.212647 | + | 0.977129i | \(0.568208\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.62536 | 0.186172 | ||||||||
\(914\) | −9.99660 | + | 8.38814i | −0.330658 | + | 0.277455i | ||||
\(915\) | 34.4688 | + | 12.5456i | 1.13950 | + | 0.414746i | ||||
\(916\) | −0.906726 | + | 5.14230i | −0.0299591 | + | 0.169906i | ||||
\(917\) | −8.68779 | − | 49.2709i | −0.286896 | − | 1.62707i | ||||
\(918\) | −10.4131 | + | 3.79007i | −0.343684 | + | 0.125091i | ||||
\(919\) | 10.3396 | − | 17.9086i | 0.341070 | − | 0.590751i | −0.643561 | − | 0.765395i | \(-0.722544\pi\) |
0.984632 | + | 0.174643i | \(0.0558772\pi\) | |||||||
\(920\) | 3.06418 | + | 5.30731i | 0.101023 | + | 0.174977i | ||||
\(921\) | 41.2597 | + | 34.6210i | 1.35955 | + | 1.14080i | ||||
\(922\) | 3.37733 | + | 2.83391i | 0.111226 | + | 0.0933300i | ||||
\(923\) | −4.15745 | − | 7.20092i | −0.136844 | − | 0.237021i | ||||
\(924\) | −6.71688 | + | 11.6340i | −0.220969 | + | 0.382730i | ||||
\(925\) | 4.53209 | − | 1.64955i | 0.149014 | − | 0.0542367i | ||||
\(926\) | 4.63041 | + | 26.2604i | 0.152165 | + | 0.862970i | ||||
\(927\) | −0.660444 | + | 3.74557i | −0.0216918 | + | 0.123021i | ||||
\(928\) | −7.94356 | − | 2.89122i | −0.260760 | − | 0.0949090i | ||||
\(929\) | −13.9802 | + | 11.7308i | −0.458677 | + | 0.384875i | −0.842644 | − | 0.538471i | \(-0.819002\pi\) |
0.383967 | + | 0.923347i | \(0.374558\pi\) | |||||||
\(930\) | −1.38919 | −0.0455532 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −27.0428 | −0.885817 | ||||||||
\(933\) | −22.7665 | + | 19.1034i | −0.745342 | + | 0.625416i | ||||
\(934\) | −28.2977 | − | 10.2995i | −0.925930 | − | 0.337011i | ||||
\(935\) | −1.17118 | + | 6.64208i | −0.0383016 | + | 0.217219i | ||||
\(936\) | −0.120615 | − | 0.684040i | −0.00394242 | − | 0.0223586i | ||||
\(937\) | 4.46064 | − | 1.62354i | 0.145723 | − | 0.0530387i | −0.268129 | − | 0.963383i | \(-0.586405\pi\) |
0.413852 | + | 0.910344i | \(0.364183\pi\) | |||||||
\(938\) | 3.55438 | − | 6.15636i | 0.116055 | − | 0.201012i | ||||
\(939\) | 12.3478 | + | 21.3870i | 0.402954 | + | 0.697937i | ||||
\(940\) | −15.6459 | − | 13.1285i | −0.510313 | − | 0.428203i | ||||
\(941\) | 36.0205 | + | 30.2248i | 1.17424 | + | 0.985301i | 1.00000 | 0.000596950i | \(0.000190015\pi\) | |
0.174236 | + | 0.984704i | \(0.444254\pi\) | |||||||
\(942\) | 5.98545 | + | 10.3671i | 0.195017 | + | 0.337779i | ||||
\(943\) | −2.34730 | + | 4.06564i | −0.0764385 | + | 0.132395i | ||||
\(944\) | −0.673648 | + | 0.245188i | −0.0219254 | + | 0.00798019i | ||||
\(945\) | 8.15745 | + | 46.2632i | 0.265362 | + | 1.50494i | ||||
\(946\) | 0.185975 | − | 1.05471i | 0.00604656 | − | 0.0342917i | ||||
\(947\) | −34.7648 | − | 12.6533i | −1.12970 | − | 0.411178i | −0.291518 | − | 0.956565i | \(-0.594160\pi\) |
−0.838184 | + | 0.545387i | \(0.816383\pi\) | |||||||
\(948\) | 3.22668 | − | 2.70751i | 0.104798 | − | 0.0879358i | ||||
\(949\) | 5.95191 | 0.193207 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 40.2276 | 1.30447 | ||||||||
\(952\) | 9.26857 | − | 7.77725i | 0.300396 | − | 0.252062i | ||||
\(953\) | 35.4351 | + | 12.8973i | 1.14786 | + | 0.417785i | 0.844744 | − | 0.535170i | \(-0.179752\pi\) |
0.303111 | + | 0.952955i | \(0.401975\pi\) | |||||||
\(954\) | 0.154763 | − | 0.877705i | 0.00501064 | − | 0.0284167i | ||||
\(955\) | −6.98040 | − | 39.5878i | −0.225880 | − | 1.28103i | ||||
\(956\) | 0.268571 | − | 0.0977517i | 0.00868620 | − | 0.00316152i | ||||
\(957\) | −11.2121 | + | 19.4200i | −0.362437 | + | 0.627759i | ||||
\(958\) | −4.08378 | − | 7.07331i | −0.131941 | − | 0.228528i | ||||
\(959\) | 20.9368 | + | 17.5680i | 0.676083 | + | 0.567301i | ||||
\(960\) | −2.87939 | − | 2.41609i | −0.0929318 | − | 0.0779790i | ||||
\(961\) | 15.4317 | + | 26.7285i | 0.497797 | + | 0.862209i | ||||
\(962\) | 3.14796 | − | 5.45242i | 0.101494 | − | 0.175793i | ||||
\(963\) | 4.68479 | − | 1.70513i | 0.150965 | − | 0.0549469i | ||||
\(964\) | 0.538485 | + | 3.05390i | 0.0173435 | + | 0.0983596i | ||||
\(965\) | 5.79467 | − | 32.8632i | 0.186537 | − | 1.05790i | ||||
\(966\) | −27.4047 | − | 9.97448i | −0.881731 | − | 0.320924i | ||||
\(967\) | 31.0351 | − | 26.0415i | 0.998021 | − | 0.837439i | 0.0113119 | − | 0.999936i | \(-0.496399\pi\) |
0.986709 | + | 0.162497i | \(0.0519548\pi\) | |||||||
\(968\) | −9.00774 | −0.289520 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.06418 | −0.0983848 | ||||||||
\(971\) | −10.7843 | + | 9.04910i | −0.346085 | + | 0.290400i | −0.799216 | − | 0.601044i | \(-0.794751\pi\) |
0.453131 | + | 0.891444i | \(0.350307\pi\) | |||||||
\(972\) | −5.13816 | − | 1.87014i | −0.164806 | − | 0.0599846i | ||||
\(973\) | −2.05737 | + | 11.6679i | −0.0659563 | + | 0.374057i | ||||
\(974\) | 4.61680 | + | 26.1832i | 0.147932 | + | 0.838963i | ||||
\(975\) | 2.30541 | − | 0.839100i | 0.0738321 | − | 0.0268727i | ||||
\(976\) | −4.87939 | + | 8.45134i | −0.156185 | + | 0.270521i | ||||
\(977\) | 17.6028 | + | 30.4890i | 0.563164 | + | 0.975429i | 0.997218 | + | 0.0745421i | \(0.0237495\pi\) |
−0.434054 | + | 0.900887i | \(0.642917\pi\) | |||||||
\(978\) | −6.81180 | − | 5.71578i | −0.217817 | − | 0.182771i | ||||
\(979\) | 11.5109 | + | 9.65879i | 0.367890 | + | 0.308696i | ||||
\(980\) | −18.6459 | − | 32.2956i | −0.595621 | − | 1.03165i | ||||
\(981\) | −2.94356 | + | 5.09840i | −0.0939807 | + | 0.162779i | ||||
\(982\) | −36.4873 | + | 13.2803i | −1.16436 | + | 0.423791i | ||||
\(983\) | 3.89662 | + | 22.0988i | 0.124283 | + | 0.704843i | 0.981731 | + | 0.190273i | \(0.0609374\pi\) |
−0.857448 | + | 0.514570i | \(0.827951\pi\) | |||||||
\(984\) | 0.500000 | − | 2.83564i | 0.0159394 | − | 0.0903969i | ||||
\(985\) | −24.4142 | − | 8.88603i | −0.777900 | − | 0.283132i | ||||
\(986\) | 15.4715 | − | 12.9822i | 0.492714 | − | 0.413436i | ||||
\(987\) | 97.1944 | 3.09373 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.32501 | 0.0739309 | ||||||||
\(990\) | −1.15064 | + | 0.965505i | −0.0365699 | + | 0.0306858i | ||||
\(991\) | −25.4688 | − | 9.26990i | −0.809045 | − | 0.294468i | −0.0958154 | − | 0.995399i | \(-0.530546\pi\) |
−0.713229 | + | 0.700931i | \(0.752768\pi\) | |||||||
\(992\) | 0.0641778 | − | 0.363970i | 0.00203765 | − | 0.0115561i | ||||
\(993\) | 8.28864 | + | 47.0072i | 0.263032 | + | 1.49173i | ||||
\(994\) | 30.3114 | − | 11.0324i | 0.961419 | − | 0.349928i | ||||
\(995\) | −17.1925 | + | 29.7783i | −0.545040 | + | 0.944037i | ||||
\(996\) | −3.74510 | − | 6.48670i | −0.118668 | − | 0.205539i | ||||
\(997\) | 21.4088 | + | 17.9641i | 0.678023 | + | 0.568929i | 0.915428 | − | 0.402482i | \(-0.131852\pi\) |
−0.237405 | + | 0.971411i | \(0.576297\pi\) | |||||||
\(998\) | 15.8255 | + | 13.2791i | 0.500947 | + | 0.420344i | ||||
\(999\) | −11.1848 | − | 19.3726i | −0.353871 | − | 0.612923i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))