Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(155,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 1, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.bs (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 155.6 | ||
Character | \(\chi\) | \(=\) | 672.155 |
Dual form | 672.2.bs.a.659.6 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28283 | − | 0.595271i | −0.907098 | − | 0.420920i | ||||
\(3\) | −1.60604 | + | 0.648559i | −0.927249 | + | 0.374446i | ||||
\(4\) | 1.29131 | + | 1.52726i | 0.645653 | + | 0.763631i | ||||
\(5\) | −0.327082 | + | 0.789647i | −0.146276 | + | 0.353141i | −0.979987 | − | 0.199059i | \(-0.936211\pi\) |
0.833712 | + | 0.552200i | \(0.186211\pi\) | |||||||
\(6\) | 2.44635 | + | 0.124039i | 0.998717 | + | 0.0506386i | ||||
\(7\) | −0.707107 | + | 0.707107i | −0.267261 | + | 0.267261i | ||||
\(8\) | −0.747392 | − | 2.72789i | −0.264243 | − | 0.964456i | ||||
\(9\) | 2.15874 | − | 2.08323i | 0.719581 | − | 0.694409i | ||||
\(10\) | 0.889645 | − | 0.818280i | 0.281330 | − | 0.258763i | ||||
\(11\) | 1.57113 | − | 3.79305i | 0.473714 | − | 1.14365i | −0.488796 | − | 0.872398i | \(-0.662564\pi\) |
0.962509 | − | 0.271248i | \(-0.0874364\pi\) | |||||||
\(12\) | −3.06441 | − | 1.61536i | −0.884619 | − | 0.466314i | ||||
\(13\) | −4.34408 | + | 1.79938i | −1.20483 | + | 0.499057i | −0.892557 | − | 0.450935i | \(-0.851091\pi\) |
−0.312274 | + | 0.949992i | \(0.601091\pi\) | |||||||
\(14\) | 1.32802 | − | 0.486178i | 0.354928 | − | 0.129937i | ||||
\(15\) | 0.0131756 | − | 1.48034i | 0.00340194 | − | 0.382222i | ||||
\(16\) | −0.665059 | + | 3.94432i | −0.166265 | + | 0.986081i | ||||
\(17\) | −4.61062 | −1.11824 | −0.559120 | − | 0.829087i | \(-0.688861\pi\) | ||||
−0.559120 | + | 0.829087i | \(0.688861\pi\) | |||||||
\(18\) | −4.00938 | + | 1.38739i | −0.945021 | + | 0.327011i | ||||
\(19\) | 0.545588 | + | 1.31717i | 0.125167 | + | 0.302179i | 0.974025 | − | 0.226442i | \(-0.0727094\pi\) |
−0.848858 | + | 0.528621i | \(0.822709\pi\) | |||||||
\(20\) | −1.62836 | + | 0.520135i | −0.364113 | + | 0.116306i | ||||
\(21\) | 0.677043 | − | 1.59424i | 0.147743 | − | 0.347892i | ||||
\(22\) | −4.27338 | + | 3.93058i | −0.911088 | + | 0.838004i | ||||
\(23\) | 4.33234 | − | 4.33234i | 0.903356 | − | 0.903356i | −0.0923686 | − | 0.995725i | \(-0.529444\pi\) |
0.995725 | + | 0.0923686i | \(0.0294438\pi\) | |||||||
\(24\) | 2.96954 | + | 3.89639i | 0.606155 | + | 0.795346i | ||||
\(25\) | 3.01897 | + | 3.01897i | 0.603795 | + | 0.603795i | ||||
\(26\) | 6.64383 | + | 0.277609i | 1.30296 | + | 0.0544435i | ||||
\(27\) | −2.11594 | + | 4.74582i | −0.407212 | + | 0.913334i | ||||
\(28\) | −1.99303 | − | 0.166846i | −0.376647 | − | 0.0315310i | ||||
\(29\) | 2.52053 | − | 1.04404i | 0.468051 | − | 0.193873i | −0.136177 | − | 0.990685i | \(-0.543482\pi\) |
0.604228 | + | 0.796811i | \(0.293482\pi\) | |||||||
\(30\) | −0.898104 | + | 1.89118i | −0.163971 | + | 0.345280i | ||||
\(31\) | − | 8.96065i | − | 1.60938i | −0.593695 | − | 0.804690i | \(-0.702332\pi\) | ||
0.593695 | − | 0.804690i | \(-0.297668\pi\) | |||||||
\(32\) | 3.20110 | − | 4.66401i | 0.565880 | − | 0.824488i | ||||
\(33\) | −0.0632888 | + | 7.11076i | −0.0110172 | + | 1.23782i | ||||
\(34\) | 5.91464 | + | 2.74457i | 1.01435 | + | 0.470689i | ||||
\(35\) | −0.327082 | − | 0.789647i | −0.0552870 | − | 0.133475i | ||||
\(36\) | 5.96923 | + | 0.606884i | 0.994871 | + | 0.101147i | ||||
\(37\) | 2.36682 | + | 0.980368i | 0.389103 | + | 0.161172i | 0.568654 | − | 0.822577i | \(-0.307464\pi\) |
−0.179551 | + | 0.983749i | \(0.557464\pi\) | |||||||
\(38\) | 0.0841736 | − | 2.01447i | 0.0136548 | − | 0.326791i | ||||
\(39\) | 5.80977 | − | 5.70727i | 0.930308 | − | 0.913894i | ||||
\(40\) | 2.39853 | + | 0.302071i | 0.379241 | + | 0.0477616i | ||||
\(41\) | 7.23773 | + | 7.23773i | 1.13034 | + | 1.13034i | 0.990120 | + | 0.140223i | \(0.0447820\pi\) |
0.140223 | + | 0.990120i | \(0.455218\pi\) | |||||||
\(42\) | −1.81754 | + | 1.64212i | −0.280452 | + | 0.253385i | ||||
\(43\) | 2.03307 | + | 0.842127i | 0.310041 | + | 0.128423i | 0.532278 | − | 0.846569i | \(-0.321336\pi\) |
−0.222237 | + | 0.974993i | \(0.571336\pi\) | |||||||
\(44\) | 7.82179 | − | 2.49845i | 1.17918 | − | 0.376656i | ||||
\(45\) | 0.938926 | + | 2.38603i | 0.139967 | + | 0.355688i | ||||
\(46\) | −8.13658 | + | 2.97874i | −1.19967 | + | 0.439192i | ||||
\(47\) | − | 12.4290i | − | 1.81296i | −0.422249 | − | 0.906480i | \(-0.638759\pi\) | ||
0.422249 | − | 0.906480i | \(-0.361241\pi\) | |||||||
\(48\) | −1.49001 | − | 6.76608i | −0.215065 | − | 0.976600i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | −2.07572 | − | 5.66994i | −0.293552 | − | 0.801850i | ||||
\(51\) | 7.40485 | − | 2.99026i | 1.03689 | − | 0.418720i | ||||
\(52\) | −8.35766 | − | 4.31100i | −1.15900 | − | 0.597829i | ||||
\(53\) | −3.19259 | − | 1.32241i | −0.438535 | − | 0.181647i | 0.152482 | − | 0.988306i | \(-0.451273\pi\) |
−0.591017 | + | 0.806659i | \(0.701273\pi\) | |||||||
\(54\) | 5.53943 | − | 4.82853i | 0.753822 | − | 0.657079i | ||||
\(55\) | 2.48128 | + | 2.48128i | 0.334575 | + | 0.334575i | ||||
\(56\) | 2.45740 | + | 1.40043i | 0.328384 | + | 0.187140i | ||||
\(57\) | −1.73050 | − | 1.76158i | −0.229210 | − | 0.233327i | ||||
\(58\) | −3.85490 | − | 0.161075i | −0.506173 | − | 0.0211501i | ||||
\(59\) | −1.18761 | − | 0.491922i | −0.154613 | − | 0.0640428i | 0.304035 | − | 0.952661i | \(-0.401666\pi\) |
−0.458648 | + | 0.888618i | \(0.651666\pi\) | |||||||
\(60\) | 2.27788 | − | 1.89145i | 0.294073 | − | 0.244185i | ||||
\(61\) | −0.703592 | − | 1.69862i | −0.0900857 | − | 0.217486i | 0.872415 | − | 0.488766i | \(-0.162553\pi\) |
−0.962500 | + | 0.271280i | \(0.912553\pi\) | |||||||
\(62\) | −5.33401 | + | 11.4950i | −0.677420 | + | 1.45987i | ||||
\(63\) | −0.0533983 | + | 2.99952i | −0.00672756 | + | 0.377905i | ||||
\(64\) | −6.88281 | + | 4.07761i | −0.860351 | + | 0.509701i | ||||
\(65\) | − | 4.01883i | − | 0.498475i | ||||||
\(66\) | 4.31402 | − | 9.08423i | 0.531019 | − | 1.11819i | ||||
\(67\) | 8.83223 | − | 3.65843i | 1.07903 | − | 0.446948i | 0.228860 | − | 0.973459i | \(-0.426500\pi\) |
0.850168 | + | 0.526511i | \(0.176500\pi\) | |||||||
\(68\) | −5.95372 | − | 7.04162i | −0.721995 | − | 0.853922i | ||||
\(69\) | −4.14815 | + | 9.76771i | −0.499378 | + | 1.17589i | ||||
\(70\) | −0.0504624 | + | 1.20769i | −0.00603141 | + | 0.144346i | ||||
\(71\) | 0.710165 | + | 0.710165i | 0.0842811 | + | 0.0842811i | 0.747991 | − | 0.663709i | \(-0.231019\pi\) |
−0.663709 | + | 0.747991i | \(0.731019\pi\) | |||||||
\(72\) | −7.29625 | − | 4.33184i | −0.859871 | − | 0.510512i | ||||
\(73\) | 10.2721 | − | 10.2721i | 1.20226 | − | 1.20226i | 0.228787 | − | 0.973476i | \(-0.426524\pi\) |
0.973476 | − | 0.228787i | \(-0.0734760\pi\) | |||||||
\(74\) | −2.45264 | − | 2.66654i | −0.285114 | − | 0.309979i | ||||
\(75\) | −6.80658 | − | 2.89062i | −0.785957 | − | 0.333780i | ||||
\(76\) | −1.30714 | + | 2.53412i | −0.149939 | + | 0.290684i | ||||
\(77\) | 1.57113 | + | 3.79305i | 0.179047 | + | 0.432258i | ||||
\(78\) | −10.8503 | + | 3.86307i | −1.22856 | + | 0.437406i | ||||
\(79\) | 15.4424 | 1.73741 | 0.868703 | − | 0.495333i | \(-0.164954\pi\) | ||||
0.868703 | + | 0.495333i | \(0.164954\pi\) | |||||||
\(80\) | −2.89709 | − | 1.81528i | −0.323905 | − | 0.202955i | ||||
\(81\) | 0.320339 | − | 8.99430i | 0.0355932 | − | 0.999366i | ||||
\(82\) | −4.97637 | − | 13.5932i | −0.549548 | − | 1.50112i | ||||
\(83\) | 2.74127 | − | 1.13547i | 0.300893 | − | 0.124634i | −0.227129 | − | 0.973865i | \(-0.572934\pi\) |
0.528022 | + | 0.849231i | \(0.322934\pi\) | |||||||
\(84\) | 3.30910 | − | 1.02463i | 0.361052 | − | 0.111797i | ||||
\(85\) | 1.50805 | − | 3.64076i | 0.163571 | − | 0.394896i | ||||
\(86\) | −2.10680 | − | 2.29054i | −0.227182 | − | 0.246995i | ||||
\(87\) | −3.37096 | + | 3.31148i | −0.361405 | + | 0.355028i | ||||
\(88\) | −11.5213 | − | 1.45099i | −1.22817 | − | 0.154676i | ||||
\(89\) | 3.60370 | − | 3.60370i | 0.381991 | − | 0.381991i | −0.489828 | − | 0.871819i | \(-0.662940\pi\) |
0.871819 | + | 0.489828i | \(0.162940\pi\) | |||||||
\(90\) | 0.215852 | − | 3.61979i | 0.0227528 | − | 0.381559i | ||||
\(91\) | 1.79938 | − | 4.34408i | 0.188626 | − | 0.455383i | ||||
\(92\) | 12.2110 | + | 1.02224i | 1.27309 | + | 0.106576i | ||||
\(93\) | 5.81151 | + | 14.3912i | 0.602625 | + | 1.49230i | ||||
\(94\) | −7.39863 | + | 15.9443i | −0.763111 | + | 1.64453i | ||||
\(95\) | −1.21855 | −0.125020 | ||||||||
\(96\) | −2.11621 | + | 9.56669i | −0.215985 | + | 0.976397i | ||||
\(97\) | 14.5603 | 1.47837 | 0.739185 | − | 0.673502i | \(-0.235211\pi\) | ||||
0.739185 | + | 0.673502i | \(0.235211\pi\) | |||||||
\(98\) | −0.595271 | + | 1.28283i | −0.0601314 | + | 0.129585i | ||||
\(99\) | −4.51010 | − | 11.4612i | −0.453283 | − | 1.15190i | ||||
\(100\) | −0.712346 | + | 8.50919i | −0.0712346 | + | 0.850919i | ||||
\(101\) | 2.04890 | − | 4.94648i | 0.203873 | − | 0.492193i | −0.788563 | − | 0.614953i | \(-0.789175\pi\) |
0.992436 | + | 0.122761i | \(0.0391748\pi\) | |||||||
\(102\) | −11.2792 | − | 0.571896i | −1.11680 | − | 0.0566261i | ||||
\(103\) | −0.886730 | + | 0.886730i | −0.0873721 | + | 0.0873721i | −0.749442 | − | 0.662070i | \(-0.769678\pi\) |
0.662070 | + | 0.749442i | \(0.269678\pi\) | |||||||
\(104\) | 8.15524 | + | 10.5054i | 0.799687 | + | 1.03013i | ||||
\(105\) | 1.03744 | + | 1.05607i | 0.101244 | + | 0.103062i | ||||
\(106\) | 3.30835 | + | 3.59688i | 0.321335 | + | 0.349360i | ||||
\(107\) | −7.52882 | + | 18.1762i | −0.727839 | + | 1.75716i | −0.0781710 | + | 0.996940i | \(0.524908\pi\) |
−0.649668 | + | 0.760218i | \(0.725092\pi\) | |||||||
\(108\) | −9.98043 | + | 2.89672i | −0.960368 | + | 0.278737i | ||||
\(109\) | −0.783062 | + | 0.324355i | −0.0750038 | + | 0.0310676i | −0.419870 | − | 0.907584i | \(-0.637924\pi\) |
0.344866 | + | 0.938652i | \(0.387924\pi\) | |||||||
\(110\) | −1.70603 | − | 4.66009i | −0.162663 | − | 0.444322i | ||||
\(111\) | −4.43704 | − | 0.0394915i | −0.421145 | − | 0.00374837i | ||||
\(112\) | −2.31879 | − | 3.25933i | −0.219105 | − | 0.307977i | ||||
\(113\) | −10.1322 | −0.953158 | −0.476579 | − | 0.879132i | \(-0.658123\pi\) | ||||
−0.476579 | + | 0.879132i | \(0.658123\pi\) | |||||||
\(114\) | 1.17132 | + | 3.28992i | 0.109704 | + | 0.308129i | ||||
\(115\) | 2.00399 | + | 4.83805i | 0.186873 | + | 0.451151i | ||||
\(116\) | 4.84930 | + | 2.50134i | 0.450246 | + | 0.232244i | ||||
\(117\) | −5.62924 | + | 12.9341i | −0.520424 | + | 1.19576i | ||||
\(118\) | 1.23067 | + | 1.33800i | 0.113292 | + | 0.123173i | ||||
\(119\) | 3.26020 | − | 3.26020i | 0.298862 | − | 0.298862i | ||||
\(120\) | −4.04805 | + | 1.07045i | −0.369535 | + | 0.0977183i | ||||
\(121\) | −4.14057 | − | 4.14057i | −0.376415 | − | 0.376415i | ||||
\(122\) | −0.108550 | + | 2.59787i | −0.00982770 | + | 0.235200i | ||||
\(123\) | −16.3182 | − | 6.93000i | −1.47136 | − | 0.624857i | ||||
\(124\) | 13.6853 | − | 11.5709i | 1.22897 | − | 1.03910i | ||||
\(125\) | −7.31961 | + | 3.03188i | −0.654686 | + | 0.271180i | ||||
\(126\) | 1.85403 | − | 3.81609i | 0.165170 | − | 0.339965i | ||||
\(127\) | 0.439748i | 0.0390213i | 0.999810 | + | 0.0195107i | \(0.00621083\pi\) | ||||
−0.999810 | + | 0.0195107i | \(0.993789\pi\) | |||||||
\(128\) | 11.2568 | − | 1.13374i | 0.994966 | − | 0.100210i | ||||
\(129\) | −3.81137 | − | 0.0339228i | −0.335573 | − | 0.00298674i | ||||
\(130\) | −2.39229 | + | 5.15548i | −0.209818 | + | 0.452166i | ||||
\(131\) | −5.92811 | − | 14.3117i | −0.517941 | − | 1.25042i | −0.939166 | − | 0.343465i | \(-0.888399\pi\) |
0.421224 | − | 0.906957i | \(-0.361601\pi\) | |||||||
\(132\) | −10.9417 | + | 9.08551i | −0.952355 | + | 0.790792i | ||||
\(133\) | −1.31717 | − | 0.545588i | −0.114213 | − | 0.0473085i | ||||
\(134\) | −13.5080 | − | 0.564424i | −1.16691 | − | 0.0487588i | ||||
\(135\) | −3.05544 | − | 3.22312i | −0.262970 | − | 0.277402i | ||||
\(136\) | 3.44594 | + | 12.5773i | 0.295487 | + | 1.07849i | ||||
\(137\) | 5.20385 | + | 5.20385i | 0.444595 | + | 0.444595i | 0.893553 | − | 0.448958i | \(-0.148205\pi\) |
−0.448958 | + | 0.893553i | \(0.648205\pi\) | |||||||
\(138\) | 11.1358 | − | 10.0610i | 0.947942 | − | 0.856453i | ||||
\(139\) | 7.30702 | + | 3.02667i | 0.619773 | + | 0.256719i | 0.670401 | − | 0.741999i | \(-0.266122\pi\) |
−0.0506276 | + | 0.998718i | \(0.516122\pi\) | |||||||
\(140\) | 0.783634 | − | 1.51922i | 0.0662292 | − | 0.128397i | ||||
\(141\) | 8.06096 | + | 19.9615i | 0.678855 | + | 1.68106i | ||||
\(142\) | −0.488281 | − | 1.33376i | −0.0409756 | − | 0.111927i | ||||
\(143\) | 19.3044i | 1.61431i | ||||||||
\(144\) | 6.78123 | + | 9.90025i | 0.565102 | + | 0.825021i | ||||
\(145\) | 2.33182i | 0.193647i | ||||||||
\(146\) | −19.2921 | + | 7.06271i | −1.59663 | + | 0.584514i | ||||
\(147\) | 0.648559 | + | 1.60604i | 0.0534922 | + | 0.132464i | ||||
\(148\) | 1.55901 | + | 4.88071i | 0.128150 | + | 0.401192i | ||||
\(149\) | −18.8727 | − | 7.81735i | −1.54612 | − | 0.640422i | −0.563507 | − | 0.826111i | \(-0.690548\pi\) |
−0.982608 | + | 0.185690i | \(0.940548\pi\) | |||||||
\(150\) | 7.01099 | + | 7.75993i | 0.572445 | + | 0.633596i | ||||
\(151\) | −13.8539 | − | 13.8539i | −1.12742 | − | 1.12742i | −0.990596 | − | 0.136822i | \(-0.956311\pi\) |
−0.136822 | − | 0.990596i | \(-0.543689\pi\) | |||||||
\(152\) | 3.18532 | − | 2.47275i | 0.258364 | − | 0.200566i | ||||
\(153\) | −9.95314 | + | 9.60496i | −0.804664 | + | 0.776515i | ||||
\(154\) | 0.242395 | − | 5.80108i | 0.0195327 | − | 0.467464i | ||||
\(155\) | 7.07575 | + | 2.93087i | 0.568338 | + | 0.235413i | ||||
\(156\) | 16.2187 | + | 1.50322i | 1.29853 | + | 0.120354i | ||||
\(157\) | −1.97051 | − | 4.75724i | −0.157264 | − | 0.379669i | 0.825534 | − | 0.564352i | \(-0.190874\pi\) |
−0.982798 | + | 0.184683i | \(0.940874\pi\) | |||||||
\(158\) | −19.8100 | − | 9.19241i | −1.57600 | − | 0.731309i | ||||
\(159\) | 5.98509 | + | 0.0532698i | 0.474648 | + | 0.00422457i | ||||
\(160\) | 2.63590 | + | 4.05325i | 0.208386 | + | 0.320438i | ||||
\(161\) | 6.12686i | 0.482864i | ||||||||
\(162\) | −5.76498 | + | 11.3475i | −0.452940 | + | 0.891541i | ||||
\(163\) | −11.3771 | + | 4.71255i | −0.891124 | + | 0.369115i | −0.780801 | − | 0.624780i | \(-0.785189\pi\) |
−0.110323 | + | 0.993896i | \(0.535189\pi\) | |||||||
\(164\) | −1.70779 | + | 20.4000i | −0.133356 | + | 1.59297i | ||||
\(165\) | −5.59429 | − | 2.37578i | −0.435515 | − | 0.184954i | ||||
\(166\) | −4.19249 | − | 0.175181i | −0.325400 | − | 0.0135967i | ||||
\(167\) | −1.97579 | − | 1.97579i | −0.152891 | − | 0.152891i | 0.626517 | − | 0.779408i | \(-0.284480\pi\) |
−0.779408 | + | 0.626517i | \(0.784480\pi\) | |||||||
\(168\) | −4.85494 | − | 0.655377i | −0.374567 | − | 0.0505634i | ||||
\(169\) | 6.44089 | − | 6.44089i | 0.495453 | − | 0.495453i | ||||
\(170\) | −4.10181 | + | 3.77278i | −0.314595 | + | 0.289359i | ||||
\(171\) | 3.92174 | + | 1.70684i | 0.299903 | + | 0.130525i | ||||
\(172\) | 1.33917 | + | 4.19248i | 0.102111 | + | 0.319674i | ||||
\(173\) | 5.32667 | + | 12.8597i | 0.404980 | + | 0.977707i | 0.986438 | + | 0.164131i | \(0.0524821\pi\) |
−0.581459 | + | 0.813576i | \(0.697518\pi\) | |||||||
\(174\) | 6.29560 | − | 2.24144i | 0.477268 | − | 0.169923i | ||||
\(175\) | −4.26948 | −0.322742 | ||||||||
\(176\) | 13.9161 | + | 8.71965i | 1.04897 | + | 0.657268i | ||||
\(177\) | 2.22639 | + | 0.0198158i | 0.167345 | + | 0.00148945i | ||||
\(178\) | −6.76811 | + | 2.47776i | −0.507291 | + | 0.185716i | ||||
\(179\) | 21.6597 | − | 8.97176i | 1.61893 | − | 0.670581i | 0.624999 | − | 0.780626i | \(-0.285099\pi\) |
0.993927 | + | 0.110045i | \(0.0350995\pi\) | |||||||
\(180\) | −2.43165 | + | 4.51508i | −0.181245 | + | 0.336534i | ||||
\(181\) | −6.73608 | + | 16.2623i | −0.500689 | + | 1.20877i | 0.448420 | + | 0.893823i | \(0.351987\pi\) |
−0.949109 | + | 0.314947i | \(0.898013\pi\) | |||||||
\(182\) | −4.89420 | + | 4.50160i | −0.362782 | + | 0.333681i | ||||
\(183\) | 2.23165 | + | 2.27174i | 0.164969 | + | 0.167932i | ||||
\(184\) | −15.0561 | − | 8.58022i | −1.10995 | − | 0.632542i | ||||
\(185\) | −1.54829 | + | 1.54829i | −0.113832 | + | 0.113832i | ||||
\(186\) | 1.11147 | − | 21.9209i | 0.0814968 | − | 1.60732i | ||||
\(187\) | −7.24389 | + | 17.4883i | −0.529726 | + | 1.27887i | ||||
\(188\) | 18.9824 | − | 16.0497i | 1.38443 | − | 1.17054i | ||||
\(189\) | −1.85961 | − | 4.85200i | −0.135267 | − | 0.352931i | ||||
\(190\) | 1.56319 | + | 0.725366i | 0.113406 | + | 0.0526236i | ||||
\(191\) | −2.41495 | −0.174740 | −0.0873698 | − | 0.996176i | \(-0.527846\pi\) | ||||
−0.0873698 | + | 0.996176i | \(0.527846\pi\) | |||||||
\(192\) | 8.40952 | − | 11.0127i | 0.606905 | − | 0.794775i | ||||
\(193\) | 4.24466 | 0.305538 | 0.152769 | − | 0.988262i | \(-0.451181\pi\) | ||||
0.152769 | + | 0.988262i | \(0.451181\pi\) | |||||||
\(194\) | −18.6783 | − | 8.66730i | −1.34103 | − | 0.622276i | ||||
\(195\) | 2.60645 | + | 6.45442i | 0.186652 | + | 0.462210i | ||||
\(196\) | 1.52726 | − | 1.29131i | 0.109090 | − | 0.0922361i | ||||
\(197\) | 3.13406 | − | 7.56629i | 0.223292 | − | 0.539076i | −0.772041 | − | 0.635573i | \(-0.780764\pi\) |
0.995333 | + | 0.0964973i | \(0.0307639\pi\) | |||||||
\(198\) | −1.03684 | + | 17.3875i | −0.0736848 | + | 1.23568i | ||||
\(199\) | 7.39141 | − | 7.39141i | 0.523963 | − | 0.523963i | −0.394803 | − | 0.918766i | \(-0.629187\pi\) |
0.918766 | + | 0.394803i | \(0.129187\pi\) | |||||||
\(200\) | 5.97909 | − | 10.4918i | 0.422785 | − | 0.741882i | ||||
\(201\) | −11.8122 | + | 11.6038i | −0.833170 | + | 0.818470i | ||||
\(202\) | −5.57288 | + | 5.12584i | −0.392106 | + | 0.360653i | ||||
\(203\) | −1.04404 | + | 2.52053i | −0.0732771 | + | 0.176907i | ||||
\(204\) | 14.1288 | + | 7.44781i | 0.989216 | + | 0.521451i | ||||
\(205\) | −8.08258 | + | 3.34791i | −0.564512 | + | 0.233828i | ||||
\(206\) | 1.66537 | − | 0.609679i | 0.116032 | − | 0.0424784i | ||||
\(207\) | 0.327164 | − | 18.3777i | 0.0227395 | − | 1.27734i | ||||
\(208\) | −4.20826 | − | 18.3312i | −0.291790 | − | 1.27104i | ||||
\(209\) | 5.85326 | 0.404879 | ||||||||
\(210\) | −0.702210 | − | 1.97232i | −0.0484571 | − | 0.136103i | ||||
\(211\) | −5.12945 | − | 12.3836i | −0.353126 | − | 0.852522i | −0.996231 | − | 0.0867433i | \(-0.972354\pi\) |
0.643105 | − | 0.765778i | \(-0.277646\pi\) | |||||||
\(212\) | −2.10293 | − | 6.58355i | −0.144430 | − | 0.452160i | ||||
\(213\) | −1.60114 | − | 0.679971i | −0.109708 | − | 0.0465909i | ||||
\(214\) | 20.4779 | − | 18.8353i | 1.39984 | − | 1.28755i | ||||
\(215\) | −1.32997 | + | 1.32997i | −0.0907029 | + | 0.0907029i | ||||
\(216\) | 14.5275 | + | 2.22507i | 0.988473 | + | 0.151397i | ||||
\(217\) | 6.33614 | + | 6.33614i | 0.430125 | + | 0.430125i | ||||
\(218\) | 1.19761 | + | 0.0500416i | 0.0811127 | + | 0.00338925i | ||||
\(219\) | −9.83541 | + | 23.1596i | −0.664615 | + | 1.56498i | ||||
\(220\) | −0.585473 | + | 6.99365i | −0.0394726 | + | 0.471512i | ||||
\(221\) | 20.0289 | − | 8.29624i | 1.34729 | − | 0.558066i | ||||
\(222\) | 5.66846 | + | 2.69190i | 0.380442 | + | 0.180668i | ||||
\(223\) | − | 7.77810i | − | 0.520860i | −0.965493 | − | 0.260430i | \(-0.916136\pi\) | ||
0.965493 | − | 0.260430i | \(-0.0838643\pi\) | |||||||
\(224\) | 1.03443 | + | 5.56147i | 0.0691160 | + | 0.371591i | ||||
\(225\) | 12.8064 | + | 0.227983i | 0.853760 | + | 0.0151989i | ||||
\(226\) | 12.9979 | + | 6.03141i | 0.864608 | + | 0.401203i | ||||
\(227\) | 2.09978 | + | 5.06933i | 0.139368 | + | 0.336463i | 0.978117 | − | 0.208054i | \(-0.0667129\pi\) |
−0.838750 | + | 0.544517i | \(0.816713\pi\) | |||||||
\(228\) | 0.455791 | − | 4.91766i | 0.0301855 | − | 0.325680i | ||||
\(229\) | −15.1333 | − | 6.26843i | −1.00004 | − | 0.414230i | −0.178227 | − | 0.983989i | \(-0.557036\pi\) |
−0.821811 | + | 0.569760i | \(0.807036\pi\) | |||||||
\(230\) | 0.309176 | − | 7.39932i | 0.0203865 | − | 0.487897i | ||||
\(231\) | −4.98332 | − | 5.07282i | −0.327878 | − | 0.333767i | ||||
\(232\) | −4.73185 | − | 6.09544i | −0.310661 | − | 0.400185i | ||||
\(233\) | −9.76684 | − | 9.76684i | −0.639847 | − | 0.639847i | 0.310671 | − | 0.950518i | \(-0.399446\pi\) |
−0.950518 | + | 0.310671i | \(0.899446\pi\) | |||||||
\(234\) | 14.9206 | − | 13.2413i | 0.975393 | − | 0.865612i | ||||
\(235\) | 9.81454 | + | 4.06532i | 0.640230 | + | 0.265192i | ||||
\(236\) | −0.782268 | − | 2.44901i | −0.0509213 | − | 0.159417i | ||||
\(237\) | −24.8012 | + | 10.0153i | −1.61101 | + | 0.650564i | ||||
\(238\) | −6.12298 | + | 2.24158i | −0.396894 | + | 0.145300i | ||||
\(239\) | 19.5456i | 1.26430i | 0.774846 | + | 0.632150i | \(0.217827\pi\) | ||||
−0.774846 | + | 0.632150i | \(0.782173\pi\) | |||||||
\(240\) | 5.83017 | + | 1.03648i | 0.376336 | + | 0.0669046i | ||||
\(241\) | − | 4.39112i | − | 0.282857i | −0.989948 | − | 0.141428i | \(-0.954830\pi\) | ||
0.989948 | − | 0.141428i | \(-0.0451695\pi\) | |||||||
\(242\) | 2.84689 | + | 7.77641i | 0.183005 | + | 0.499886i | ||||
\(243\) | 5.31885 | + | 14.6530i | 0.341205 | + | 0.939989i | ||||
\(244\) | 1.68569 | − | 3.26801i | 0.107915 | − | 0.209213i | ||||
\(245\) | 0.789647 | + | 0.327082i | 0.0504487 | + | 0.0208965i | ||||
\(246\) | 16.8082 | + | 18.6038i | 1.07165 | + | 1.18613i | ||||
\(247\) | −4.74016 | − | 4.74016i | −0.301609 | − | 0.301609i | ||||
\(248\) | −24.4437 | + | 6.69711i | −1.55218 | + | 0.425267i | ||||
\(249\) | −3.66617 | + | 3.60149i | −0.232334 | + | 0.228235i | ||||
\(250\) | 11.1946 | + | 0.467760i | 0.708009 | + | 0.0295837i | ||||
\(251\) | −2.48710 | − | 1.03019i | −0.156984 | − | 0.0650251i | 0.302808 | − | 0.953052i | \(-0.402076\pi\) |
−0.459792 | + | 0.888027i | \(0.652076\pi\) | |||||||
\(252\) | −4.65001 | + | 3.79175i | −0.292923 | + | 0.238858i | ||||
\(253\) | −9.62610 | − | 23.2395i | −0.605188 | − | 1.46105i | ||||
\(254\) | 0.261769 | − | 0.564122i | 0.0164248 | − | 0.0353961i | ||||
\(255\) | −0.0607479 | + | 6.82528i | −0.00380418 | + | 0.427415i | ||||
\(256\) | −15.1154 | − | 5.24642i | −0.944712 | − | 0.327901i | ||||
\(257\) | − | 19.7184i | − | 1.23000i | −0.788526 | − | 0.615001i | \(-0.789155\pi\) | ||
0.788526 | − | 0.615001i | \(-0.210845\pi\) | |||||||
\(258\) | 4.86915 | + | 2.31232i | 0.303140 | + | 0.143958i | ||||
\(259\) | −2.36682 | + | 0.980368i | −0.147067 | + | 0.0609171i | ||||
\(260\) | 6.13781 | − | 5.18954i | 0.380651 | − | 0.321842i | ||||
\(261\) | 3.26621 | − | 7.50465i | 0.202173 | − | 0.464526i | ||||
\(262\) | −0.914591 | + | 21.8883i | −0.0565036 | + | 1.35227i | ||||
\(263\) | −18.5553 | − | 18.5553i | −1.14417 | − | 1.14417i | −0.987679 | − | 0.156493i | \(-0.949981\pi\) |
−0.156493 | − | 0.987679i | \(-0.550019\pi\) | |||||||
\(264\) | 19.4447 | − | 5.14188i | 1.19674 | − | 0.316461i | ||||
\(265\) | 2.08848 | − | 2.08848i | 0.128294 | − | 0.128294i | ||||
\(266\) | 1.36493 | + | 1.48397i | 0.0836891 | + | 0.0909879i | ||||
\(267\) | −3.45048 | + | 8.12491i | −0.211166 | + | 0.497236i | ||||
\(268\) | 16.9925 | + | 8.76498i | 1.03798 | + | 0.535406i | ||||
\(269\) | 2.61089 | + | 6.30325i | 0.159189 | + | 0.384316i | 0.983270 | − | 0.182156i | \(-0.0583077\pi\) |
−0.824081 | + | 0.566473i | \(0.808308\pi\) | |||||||
\(270\) | 2.00098 | + | 5.95352i | 0.121776 | + | 0.362320i | ||||
\(271\) | −23.3120 | −1.41610 | −0.708052 | − | 0.706160i | \(-0.750426\pi\) | ||||
−0.708052 | + | 0.706160i | \(0.750426\pi\) | |||||||
\(272\) | 3.06633 | − | 18.1858i | 0.185924 | − | 1.10267i | ||||
\(273\) | −0.0724831 | + | 8.14378i | −0.00438688 | + | 0.492884i | ||||
\(274\) | −3.57795 | − | 9.77335i | −0.216152 | − | 0.590430i | ||||
\(275\) | 16.1943 | − | 6.70791i | 0.976554 | − | 0.404502i | ||||
\(276\) | −20.2744 | + | 6.27779i | −1.22037 | + | 0.377879i | ||||
\(277\) | −3.09577 | + | 7.47384i | −0.186007 | + | 0.449059i | −0.989184 | − | 0.146680i | \(-0.953141\pi\) |
0.803177 | + | 0.595740i | \(0.203141\pi\) | |||||||
\(278\) | −7.57198 | − | 8.23235i | −0.454137 | − | 0.493744i | ||||
\(279\) | −18.6671 | − | 19.3437i | −1.11757 | − | 1.15808i | ||||
\(280\) | −1.90961 | + | 1.48242i | −0.114121 | + | 0.0885916i | ||||
\(281\) | −5.79112 | + | 5.79112i | −0.345469 | + | 0.345469i | −0.858419 | − | 0.512950i | \(-0.828553\pi\) |
0.512950 | + | 0.858419i | \(0.328553\pi\) | |||||||
\(282\) | 1.54168 | − | 30.4057i | 0.0918058 | − | 1.81063i | ||||
\(283\) | 8.52482 | − | 20.5807i | 0.506748 | − | 1.22340i | −0.438998 | − | 0.898488i | \(-0.644666\pi\) |
0.945745 | − | 0.324909i | \(-0.105334\pi\) | |||||||
\(284\) | −0.167568 | + | 2.00165i | −0.00994333 | + | 0.118776i | ||||
\(285\) | 1.95704 | − | 0.790300i | 0.115925 | − | 0.0468134i | ||||
\(286\) | 11.4913 | − | 24.7642i | 0.679496 | − | 1.46434i | ||||
\(287\) | −10.2357 | −0.604194 | ||||||||
\(288\) | −2.80584 | − | 16.7370i | −0.165335 | − | 0.986237i | ||||
\(289\) | 4.25782 | 0.250460 | ||||||||
\(290\) | 1.38806 | − | 2.99132i | 0.0815098 | − | 0.175657i | ||||
\(291\) | −23.3844 | + | 9.44319i | −1.37082 | + | 0.553570i | ||||
\(292\) | 28.9527 | + | 2.42378i | 1.69433 | + | 0.141841i | ||||
\(293\) | 6.10740 | − | 14.7446i | 0.356798 | − | 0.861388i | −0.638948 | − | 0.769250i | \(-0.720630\pi\) |
0.995746 | − | 0.0921375i | \(-0.0293699\pi\) | |||||||
\(294\) | 0.124039 | − | 2.44635i | 0.00723409 | − | 0.142674i | ||||
\(295\) | 0.776890 | − | 0.776890i | 0.0452323 | − | 0.0452323i | ||||
\(296\) | 0.905401 | − | 7.18915i | 0.0526254 | − | 0.417861i | ||||
\(297\) | 14.6767 | + | 15.4822i | 0.851629 | + | 0.898366i | ||||
\(298\) | 19.5571 | + | 21.2627i | 1.13291 | + | 1.23172i | ||||
\(299\) | −11.0245 | + | 26.6156i | −0.637565 | + | 1.53922i | ||||
\(300\) | −4.37465 | − | 14.1281i | −0.252571 | − | 0.815687i | ||||
\(301\) | −2.03307 | + | 0.842127i | −0.117184 | + | 0.0485394i | ||||
\(302\) | 9.52540 | + | 26.0191i | 0.548125 | + | 1.49723i | ||||
\(303\) | −0.0825343 | + | 9.27308i | −0.00474147 | + | 0.532724i | ||||
\(304\) | −5.55818 | + | 1.27598i | −0.318783 | + | 0.0731827i | ||||
\(305\) | 1.57144 | 0.0899806 | ||||||||
\(306\) | 18.4857 | − | 6.39672i | 1.05676 | − | 0.365676i | ||||
\(307\) | 7.66784 | + | 18.5118i | 0.437627 | + | 1.05652i | 0.976766 | + | 0.214308i | \(0.0687496\pi\) |
−0.539139 | + | 0.842217i | \(0.681250\pi\) | |||||||
\(308\) | −3.76416 | + | 7.29751i | −0.214483 | + | 0.415814i | ||||
\(309\) | 0.849029 | − | 1.99922i | 0.0482996 | − | 0.113732i | ||||
\(310\) | −7.33232 | − | 7.97179i | −0.416448 | − | 0.452767i | ||||
\(311\) | 8.60776 | − | 8.60776i | 0.488101 | − | 0.488101i | −0.419605 | − | 0.907707i | \(-0.637832\pi\) |
0.907707 | + | 0.419605i | \(0.137832\pi\) | |||||||
\(312\) | −19.9110 | − | 11.5829i | −1.12724 | − | 0.655752i | ||||
\(313\) | 3.37970 | + | 3.37970i | 0.191032 | + | 0.191032i | 0.796142 | − | 0.605110i | \(-0.206871\pi\) |
−0.605110 | + | 0.796142i | \(0.706871\pi\) | |||||||
\(314\) | −0.304011 | + | 7.27572i | −0.0171564 | + | 0.410592i | ||||
\(315\) | −2.35110 | − | 1.02326i | −0.132469 | − | 0.0576540i | ||||
\(316\) | 19.9409 | + | 23.5846i | 1.12176 | + | 1.32674i | ||||
\(317\) | 15.4190 | − | 6.38676i | 0.866018 | − | 0.358716i | 0.0949595 | − | 0.995481i | \(-0.469728\pi\) |
0.771058 | + | 0.636765i | \(0.219728\pi\) | |||||||
\(318\) | −7.64614 | − | 3.63108i | −0.428774 | − | 0.203621i | ||||
\(319\) | − | 11.2008i | − | 0.627125i | ||||||
\(320\) | −0.968625 | − | 6.76870i | −0.0541478 | − | 0.378382i | ||||
\(321\) | 0.303278 | − | 34.0746i | 0.0169274 | − | 1.90186i | ||||
\(322\) | 3.64714 | − | 7.85972i | 0.203247 | − | 0.438005i | ||||
\(323\) | −2.51550 | − | 6.07295i | −0.139966 | − | 0.337908i | ||||
\(324\) | 14.1503 | − | 11.1251i | 0.786128 | − | 0.618064i | ||||
\(325\) | −18.5469 | − | 7.68240i | −1.02880 | − | 0.426143i | ||||
\(326\) | 17.4001 | + | 0.727054i | 0.963704 | + | 0.0402678i | ||||
\(327\) | 1.04727 | − | 1.02879i | 0.0579140 | − | 0.0568922i | ||||
\(328\) | 14.3343 | − | 25.1532i | 0.791481 | − | 1.38885i | ||||
\(329\) | 8.78865 | + | 8.78865i | 0.484534 | + | 0.484534i | ||||
\(330\) | 5.76229 | + | 6.37784i | 0.317204 | + | 0.351088i | ||||
\(331\) | −0.928123 | − | 0.384441i | −0.0510142 | − | 0.0211308i | 0.357030 | − | 0.934093i | \(-0.383789\pi\) |
−0.408045 | + | 0.912962i | \(0.633789\pi\) | |||||||
\(332\) | 5.27397 | + | 2.72039i | 0.289447 | + | 0.149301i | ||||
\(333\) | 7.15168 | − | 2.81426i | 0.391910 | − | 0.154220i | ||||
\(334\) | 1.35848 | + | 3.71074i | 0.0743324 | + | 0.203043i | ||||
\(335\) | 8.17095i | 0.446427i | ||||||||
\(336\) | 5.83794 | + | 3.73074i | 0.318486 | + | 0.203529i | ||||
\(337\) | 8.96457i | 0.488331i | 0.969734 | + | 0.244166i | \(0.0785141\pi\) | ||||
−0.969734 | + | 0.244166i | \(0.921486\pi\) | |||||||
\(338\) | −12.0966 | + | 4.42850i | −0.657971 | + | 0.240878i | ||||
\(339\) | 16.2728 | − | 6.57134i | 0.883815 | − | 0.356906i | ||||
\(340\) | 7.50775 | − | 2.39814i | 0.407165 | − | 0.130058i | ||||
\(341\) | −33.9882 | − | 14.0784i | −1.84056 | − | 0.762386i | ||||
\(342\) | −4.01489 | − | 4.52408i | −0.217101 | − | 0.244634i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | 0.777731 | − | 6.17541i | 0.0419324 | − | 0.332956i | ||||
\(345\) | −6.35625 | − | 6.47042i | −0.342209 | − | 0.348355i | ||||
\(346\) | 0.821802 | − | 19.6677i | 0.0441803 | − | 1.05734i | ||||
\(347\) | −16.0478 | − | 6.64723i | −0.861493 | − | 0.356842i | −0.0922017 | − | 0.995740i | \(-0.529390\pi\) |
−0.769291 | + | 0.638898i | \(0.779390\pi\) | |||||||
\(348\) | −9.41044 | − | 0.872202i | −0.504453 | − | 0.0467549i | ||||
\(349\) | 3.78792 | + | 9.14486i | 0.202763 | + | 0.489513i | 0.992250 | − | 0.124254i | \(-0.0396536\pi\) |
−0.789488 | + | 0.613766i | \(0.789654\pi\) | |||||||
\(350\) | 5.47701 | + | 2.54149i | 0.292759 | + | 0.135849i | ||||
\(351\) | 0.652279 | − | 24.4236i | 0.0348161 | − | 1.30364i | ||||
\(352\) | −12.6615 | − | 19.4697i | −0.674858 | − | 1.03774i | ||||
\(353\) | − | 17.1513i | − | 0.912870i | −0.889757 | − | 0.456435i | \(-0.849126\pi\) | ||
0.889757 | − | 0.456435i | \(-0.150874\pi\) | |||||||
\(354\) | −2.84428 | − | 1.35072i | −0.151172 | − | 0.0717901i | ||||
\(355\) | −0.793062 | + | 0.328497i | −0.0420914 | + | 0.0174348i | ||||
\(356\) | 10.1573 | + | 0.850316i | 0.538334 | + | 0.0450666i | ||||
\(357\) | −3.12159 | + | 7.35045i | −0.165212 | + | 0.389027i | ||||
\(358\) | −33.1264 | − | 1.38417i | −1.75078 | − | 0.0731555i | ||||
\(359\) | 25.3034 | + | 25.3034i | 1.33546 | + | 1.33546i | 0.900399 | + | 0.435066i | \(0.143275\pi\) |
0.435066 | + | 0.900399i | \(0.356725\pi\) | |||||||
\(360\) | 5.80709 | − | 4.34459i | 0.306061 | − | 0.228980i | ||||
\(361\) | 11.9978 | − | 11.9978i | 0.631461 | − | 0.631461i | ||||
\(362\) | 18.3217 | − | 16.8520i | 0.962969 | − | 0.885723i | ||||
\(363\) | 9.33533 | + | 3.96453i | 0.489978 | + | 0.208084i | ||||
\(364\) | 8.95810 | − | 2.86142i | 0.469532 | − | 0.149979i | ||||
\(365\) | 4.75153 | + | 11.4712i | 0.248706 | + | 0.600430i | ||||
\(366\) | −1.51054 | − | 4.24269i | −0.0789570 | − | 0.221769i | ||||
\(367\) | −28.5539 | −1.49050 | −0.745250 | − | 0.666785i | \(-0.767670\pi\) | ||||
−0.745250 | + | 0.666785i | \(0.767670\pi\) | |||||||
\(368\) | 14.2069 | + | 19.9694i | 0.740586 | + | 1.04098i | ||||
\(369\) | 30.7022 | + | 0.546569i | 1.59829 | + | 0.0284532i | ||||
\(370\) | 2.90784 | − | 1.06454i | 0.151172 | − | 0.0553428i | ||||
\(371\) | 3.19259 | − | 1.32241i | 0.165751 | − | 0.0686562i | ||||
\(372\) | −14.4747 | + | 27.4591i | −0.750477 | + | 1.42369i | ||||
\(373\) | 12.4715 | − | 30.1090i | 0.645752 | − | 1.55898i | −0.173054 | − | 0.984912i | \(-0.555364\pi\) |
0.818806 | − | 0.574070i | \(-0.194636\pi\) | |||||||
\(374\) | 19.7029 | − | 18.1224i | 1.01881 | − | 0.937089i | ||||
\(375\) | 9.78925 | − | 9.61653i | 0.505515 | − | 0.496595i | ||||
\(376\) | −33.9051 | + | 9.28935i | −1.74852 | + | 0.479062i | ||||
\(377\) | −9.07077 | + | 9.07077i | −0.467169 | + | 0.467169i | ||||
\(378\) | −0.502688 | + | 7.33126i | −0.0258555 | + | 0.377079i | ||||
\(379\) | 5.85723 | − | 14.1406i | 0.300866 | − | 0.726354i | −0.699071 | − | 0.715053i | \(-0.746403\pi\) |
0.999936 | − | 0.0113011i | \(-0.00359733\pi\) | |||||||
\(380\) | −1.57352 | − | 1.86104i | −0.0807198 | − | 0.0954695i | ||||
\(381\) | −0.285202 | − | 0.706254i | −0.0146114 | − | 0.0361825i | ||||
\(382\) | 3.09797 | + | 1.43755i | 0.158506 | + | 0.0735513i | ||||
\(383\) | −2.54545 | −0.130067 | −0.0650333 | − | 0.997883i | \(-0.520715\pi\) | ||||
−0.0650333 | + | 0.997883i | \(0.520715\pi\) | |||||||
\(384\) | −17.3435 | + | 9.12151i | −0.885058 | + | 0.465480i | ||||
\(385\) | −3.50906 | −0.178838 | ||||||||
\(386\) | −5.44518 | − | 2.52672i | −0.277153 | − | 0.128607i | ||||
\(387\) | 6.14323 | − | 2.41742i | 0.312278 | − | 0.122884i | ||||
\(388\) | 18.8018 | + | 22.2373i | 0.954514 | + | 1.12893i | ||||
\(389\) | −10.0399 | + | 24.2384i | −0.509042 | + | 1.22894i | 0.435393 | + | 0.900240i | \(0.356609\pi\) |
−0.944435 | + | 0.328697i | \(0.893391\pi\) | |||||||
\(390\) | 0.498491 | − | 9.83146i | 0.0252421 | − | 0.497835i | ||||
\(391\) | −19.9748 | + | 19.9748i | −1.01017 | + | 1.01017i | ||||
\(392\) | −2.72789 | + | 0.747392i | −0.137779 | + | 0.0377490i | ||||
\(393\) | 18.8028 | + | 19.1405i | 0.948475 | + | 0.965511i | ||||
\(394\) | −8.52446 | + | 7.84065i | −0.429456 | + | 0.395006i | ||||
\(395\) | −5.05094 | + | 12.1940i | −0.254140 | + | 0.613549i | ||||
\(396\) | 11.6804 | − | 21.6881i | 0.586961 | − | 1.08987i | ||||
\(397\) | 12.7125 | − | 5.26571i | 0.638024 | − | 0.264278i | −0.0401340 | − | 0.999194i | \(-0.512778\pi\) |
0.678158 | + | 0.734916i | \(0.262778\pi\) | |||||||
\(398\) | −13.8818 | + | 5.08203i | −0.695832 | + | 0.254739i | ||||
\(399\) | 2.46927 | + | 0.0219776i | 0.123618 | + | 0.00110025i | ||||
\(400\) | −13.9156 | + | 9.90002i | −0.695781 | + | 0.495001i | ||||
\(401\) | −32.5152 | −1.62373 | −0.811867 | − | 0.583842i | \(-0.801549\pi\) | ||||
−0.811867 | + | 0.583842i | \(0.801549\pi\) | |||||||
\(402\) | 22.0605 | − | 7.85425i | 1.10028 | − | 0.391734i | ||||
\(403\) | 16.1236 | + | 38.9258i | 0.803173 | + | 1.93903i | ||||
\(404\) | 10.2003 | − | 3.25821i | 0.507485 | − | 0.162102i | ||||
\(405\) | 6.99754 | + | 3.19483i | 0.347711 | + | 0.158752i | ||||
\(406\) | 2.83972 | − | 2.61193i | 0.140933 | − | 0.129628i | ||||
\(407\) | 7.43716 | − | 7.43716i | 0.368647 | − | 0.368647i | ||||
\(408\) | −13.6914 | − | 17.9648i | −0.677827 | − | 0.889388i | ||||
\(409\) | 22.1803 | + | 22.1803i | 1.09674 | + | 1.09674i | 0.994789 | + | 0.101954i | \(0.0325094\pi\) |
0.101954 | + | 0.994789i | \(0.467491\pi\) | |||||||
\(410\) | 12.3615 | + | 0.516518i | 0.610491 | + | 0.0255090i | ||||
\(411\) | −11.7326 | − | 4.98260i | −0.578727 | − | 0.245773i | ||||
\(412\) | −2.49931 | − | 0.209229i | −0.123132 | − | 0.0103080i | ||||
\(413\) | 1.18761 | − | 0.491922i | 0.0584383 | − | 0.0242059i | ||||
\(414\) | −11.3594 | + | 23.3807i | −0.558283 | + | 1.14910i | ||||
\(415\) | 2.53602i | 0.124489i | ||||||||
\(416\) | −5.51352 | + | 26.0208i | −0.270323 | + | 1.27578i | ||||
\(417\) | −13.6984 | − | 0.121921i | −0.670811 | − | 0.00597051i | ||||
\(418\) | −7.50874 | − | 3.48428i | −0.367265 | − | 0.170421i | ||||
\(419\) | 0.0924059 | + | 0.223088i | 0.00451432 | + | 0.0108985i | 0.926121 | − | 0.377228i | \(-0.123123\pi\) |
−0.921606 | + | 0.388126i | \(0.873123\pi\) | |||||||
\(420\) | −0.273248 | + | 2.94816i | −0.0133332 | + | 0.143855i | ||||
\(421\) | 1.80380 | + | 0.747158i | 0.0879118 | + | 0.0364143i | 0.426206 | − | 0.904626i | \(-0.359850\pi\) |
−0.338294 | + | 0.941040i | \(0.609850\pi\) | |||||||
\(422\) | −0.791374 | + | 18.9395i | −0.0385235 | + | 0.921958i | ||||
\(423\) | −25.8925 | − | 26.8311i | −1.25893 | − | 1.30457i | ||||
\(424\) | −1.22129 | + | 9.69739i | −0.0593110 | + | 0.470947i | ||||
\(425\) | −13.9193 | − | 13.9193i | −0.675187 | − | 0.675187i | ||||
\(426\) | 1.64922 | + | 1.82540i | 0.0799051 | + | 0.0884409i | ||||
\(427\) | 1.69862 | + | 0.703592i | 0.0822021 | + | 0.0340492i | ||||
\(428\) | −37.4818 | + | 11.9725i | −1.81175 | + | 0.578714i | ||||
\(429\) | −12.5200 | − | 31.0036i | −0.604472 | − | 1.49687i | ||||
\(430\) | 2.49781 | − | 0.914430i | 0.120455 | − | 0.0440977i | ||||
\(431\) | 10.6345i | 0.512248i | 0.966644 | + | 0.256124i | \(0.0824455\pi\) | ||||
−0.966644 | + | 0.256124i | \(0.917555\pi\) | |||||||
\(432\) | −17.3118 | − | 11.5022i | −0.832916 | − | 0.553399i | ||||
\(433\) | 24.3357i | 1.16950i | 0.811213 | + | 0.584751i | \(0.198808\pi\) | ||||
−0.811213 | + | 0.584751i | \(0.801192\pi\) | |||||||
\(434\) | −4.35647 | − | 11.8999i | −0.209117 | − | 0.571213i | ||||
\(435\) | −1.51232 | − | 3.74499i | −0.0725102 | − | 0.179559i | ||||
\(436\) | −1.50655 | − | 0.777100i | −0.0721506 | − | 0.0372163i | ||||
\(437\) | 8.07009 | + | 3.34274i | 0.386045 | + | 0.159905i | ||||
\(438\) | 26.4034 | − | 23.8551i | 1.26160 | − | 1.13984i | ||||
\(439\) | 14.8534 | + | 14.8534i | 0.708915 | + | 0.708915i | 0.966307 | − | 0.257392i | \(-0.0828633\pi\) |
−0.257392 | + | 0.966307i | \(0.582863\pi\) | |||||||
\(440\) | 4.91418 | − | 8.62315i | 0.234274 | − | 0.411092i | ||||
\(441\) | −2.08323 | − | 2.15874i | −0.0992012 | − | 0.102797i | ||||
\(442\) | −30.6322 | − | 1.27995i | −1.45702 | − | 0.0608809i | ||||
\(443\) | 14.2315 | + | 5.89490i | 0.676161 | + | 0.280075i | 0.694221 | − | 0.719762i | \(-0.255749\pi\) |
−0.0180602 | + | 0.999837i | \(0.505749\pi\) | |||||||
\(444\) | −5.66926 | − | 6.82751i | −0.269051 | − | 0.324019i | ||||
\(445\) | 1.66694 | + | 4.02436i | 0.0790207 | + | 0.190773i | ||||
\(446\) | −4.63007 | + | 9.97798i | −0.219240 | + | 0.472471i | ||||
\(447\) | 35.3804 | + | 0.314901i | 1.67344 | + | 0.0148943i | ||||
\(448\) | 1.98358 | − | 7.75019i | 0.0937152 | − | 0.366162i | ||||
\(449\) | − | 12.4804i | − | 0.588986i | −0.955654 | − | 0.294493i | \(-0.904849\pi\) | ||
0.955654 | − | 0.294493i | \(-0.0951508\pi\) | |||||||
\(450\) | −16.2927 | − | 7.91573i | −0.768046 | − | 0.373151i | ||||
\(451\) | 38.8245 | − | 16.0816i | 1.82817 | − | 0.757254i | ||||
\(452\) | −13.0838 | − | 15.4745i | −0.615409 | − | 0.727861i | ||||
\(453\) | 31.2351 | + | 13.2649i | 1.46755 | + | 0.623240i | ||||
\(454\) | 0.323956 | − | 7.75303i | 0.0152040 | − | 0.363868i | ||||
\(455\) | 2.84174 | + | 2.84174i | 0.133223 | + | 0.133223i | ||||
\(456\) | −3.51204 | + | 6.03720i | −0.164466 | + | 0.282718i | ||||
\(457\) | −20.9844 | + | 20.9844i | −0.981611 | + | 0.981611i | −0.999834 | − | 0.0182230i | \(-0.994199\pi\) |
0.0182230 | + | 0.999834i | \(0.494199\pi\) | |||||||
\(458\) | 15.6821 | + | 17.0498i | 0.732775 | + | 0.796683i | ||||
\(459\) | 9.75578 | − | 21.8812i | 0.455361 | − | 1.02133i | ||||
\(460\) | −4.80122 | + | 9.30802i | −0.223858 | + | 0.433989i | ||||
\(461\) | −0.727642 | − | 1.75668i | −0.0338897 | − | 0.0818169i | 0.906029 | − | 0.423217i | \(-0.139099\pi\) |
−0.939918 | + | 0.341400i | \(0.889099\pi\) | |||||||
\(462\) | 3.37305 | + | 9.47399i | 0.156928 | + | 0.440770i | ||||
\(463\) | 11.5625 | 0.537357 | 0.268678 | − | 0.963230i | \(-0.413413\pi\) | ||||
0.268678 | + | 0.963230i | \(0.413413\pi\) | |||||||
\(464\) | 2.44172 | + | 10.6361i | 0.113354 | + | 0.493771i | ||||
\(465\) | −13.2648 | − | 0.118062i | −0.615140 | − | 0.00547501i | ||||
\(466\) | 6.71528 | + | 18.3431i | 0.311079 | + | 0.849728i | ||||
\(467\) | 18.5993 | − | 7.70408i | 0.860673 | − | 0.356502i | 0.0917022 | − | 0.995786i | \(-0.470769\pi\) |
0.768971 | + | 0.639284i | \(0.220769\pi\) | |||||||
\(468\) | −27.0228 | + | 8.10454i | −1.24913 | + | 0.374633i | ||||
\(469\) | −3.65843 | + | 8.83223i | −0.168931 | + | 0.407835i | ||||
\(470\) | −10.1704 | − | 11.0574i | −0.469127 | − | 0.510041i | ||||
\(471\) | 6.25007 | + | 6.36233i | 0.287988 | + | 0.293161i | ||||
\(472\) | −0.454306 | + | 3.60732i | −0.0209111 | + | 0.166040i | ||||
\(473\) | 6.38845 | − | 6.38845i | 0.293741 | − | 0.293741i | ||||
\(474\) | 37.7775 | + | 1.91546i | 1.73518 | + | 0.0879799i | ||||
\(475\) | −2.32938 | + | 5.62361i | −0.106879 | + | 0.258029i | ||||
\(476\) | 9.18910 | + | 0.769265i | 0.421182 | + | 0.0352592i | ||||
\(477\) | −9.64685 | + | 3.79613i | −0.441699 | + | 0.173813i | ||||
\(478\) | 11.6349 | − | 25.0737i | 0.532169 | − | 1.14684i | ||||
\(479\) | 8.30224 | 0.379339 | 0.189670 | − | 0.981848i | \(-0.439258\pi\) | ||||
0.189670 | + | 0.981848i | \(0.439258\pi\) | |||||||
\(480\) | −6.86213 | − | 4.80016i | −0.313212 | − | 0.219096i | ||||
\(481\) | −12.0457 | −0.549237 | ||||||||
\(482\) | −2.61390 | + | 5.63306i | −0.119060 | + | 0.256579i | ||||
\(483\) | −3.97363 | − | 9.84000i | −0.180806 | − | 0.447735i | ||||
\(484\) | 0.976994 | − | 11.6705i | 0.0444088 | − | 0.530476i | ||||
\(485\) | −4.76241 | + | 11.4975i | −0.216250 | + | 0.522073i | ||||
\(486\) | 1.89930 | − | 21.9634i | 0.0861541 | − | 0.996282i | ||||
\(487\) | 0.907128 | − | 0.907128i | 0.0411059 | − | 0.0411059i | −0.686255 | − | 0.727361i | \(-0.740747\pi\) |
0.727361 | + | 0.686255i | \(0.240747\pi\) | |||||||
\(488\) | −4.10780 | + | 3.18886i | −0.185951 | + | 0.144353i | ||||
\(489\) | 15.2157 | − | 14.9473i | 0.688080 | − | 0.675939i | ||||
\(490\) | −0.818280 | − | 0.889645i | −0.0369661 | − | 0.0401900i | ||||
\(491\) | 5.93382 | − | 14.3255i | 0.267789 | − | 0.646501i | −0.731589 | − | 0.681746i | \(-0.761221\pi\) |
0.999379 | + | 0.0352448i | \(0.0112211\pi\) | |||||||
\(492\) | −10.4878 | − | 33.8709i | −0.472828 | − | 1.52702i | ||||
\(493\) | −11.6212 | + | 4.81366i | −0.523393 | + | 0.216797i | ||||
\(494\) | 3.25914 | + | 8.90249i | 0.146636 | + | 0.400542i | ||||
\(495\) | 10.5255 | + | 0.187378i | 0.473086 | + | 0.00842200i | ||||
\(496\) | 35.3437 | + | 5.95936i | 1.58698 | + | 0.267583i | ||||
\(497\) | −1.00433 | −0.0450501 | ||||||||
\(498\) | 6.84693 | − | 2.43773i | 0.306818 | − | 0.109237i | ||||
\(499\) | −13.2334 | − | 31.9483i | −0.592409 | − | 1.43020i | −0.881169 | − | 0.472801i | \(-0.843243\pi\) |
0.288760 | − | 0.957402i | \(-0.406757\pi\) | |||||||
\(500\) | −14.0823 | − | 7.26388i | −0.629781 | − | 0.324850i | ||||
\(501\) | 4.45463 | + | 1.89179i | 0.199018 | + | 0.0845189i | ||||
\(502\) | 2.57729 | + | 2.80206i | 0.115030 | + | 0.125062i | ||||
\(503\) | −7.92582 | + | 7.92582i | −0.353395 | + | 0.353395i | −0.861371 | − | 0.507976i | \(-0.830394\pi\) |
0.507976 | + | 0.861371i | \(0.330394\pi\) | |||||||
\(504\) | 8.22230 | − | 2.09615i | 0.366250 | − | 0.0933701i | ||||
\(505\) | 3.23581 | + | 3.23581i | 0.143992 | + | 0.143992i | ||||
\(506\) | −1.48512 | + | 35.5424i | −0.0660216 | + | 1.58005i | ||||
\(507\) | −6.16705 | + | 14.5216i | −0.273888 | + | 0.644929i | ||||
\(508\) | −0.671610 | + | 0.567849i | −0.0297979 | + | 0.0251942i | ||||
\(509\) | 37.0692 | − | 15.3546i | 1.64307 | − | 0.680580i | 0.646463 | − | 0.762945i | \(-0.276247\pi\) |
0.996602 | + | 0.0823650i | \(0.0262473\pi\) | |||||||
\(510\) | 4.14082 | − | 8.71951i | 0.183358 | − | 0.386106i | ||||
\(511\) | 14.5270i | 0.642637i | ||||||||
\(512\) | 16.2674 | + | 15.7280i | 0.718926 | + | 0.695086i | ||||
\(513\) | −7.40546 | − | 0.197777i | −0.326959 | − | 0.00873207i | ||||
\(514\) | −11.7378 | + | 25.2954i | −0.517733 | + | 1.11573i | ||||
\(515\) | −0.410170 | − | 0.990237i | −0.0180742 | − | 0.0436350i | ||||
\(516\) | −4.86984 | − | 5.86477i | −0.214383 | − | 0.258182i | ||||
\(517\) | −47.1439 | − | 19.5276i | −2.07338 | − | 0.858824i | ||||
\(518\) | 3.61981 | + | 0.151252i | 0.159045 | + | 0.00664562i | ||||
\(519\) | −16.8952 | − | 17.1986i | −0.741615 | − | 0.754935i | ||||
\(520\) | −10.9630 | + | 3.00364i | −0.480757 | + | 0.131718i | ||||
\(521\) | 10.9267 | + | 10.9267i | 0.478706 | + | 0.478706i | 0.904718 | − | 0.426012i | \(-0.140082\pi\) |
−0.426012 | + | 0.904718i | \(0.640082\pi\) | |||||||
\(522\) | −8.65729 | + | 7.68291i | −0.378919 | + | 0.336272i | ||||
\(523\) | 3.80919 | + | 1.57782i | 0.166564 | + | 0.0689931i | 0.464408 | − | 0.885622i | \(-0.346267\pi\) |
−0.297843 | + | 0.954615i | \(0.596267\pi\) | |||||||
\(524\) | 14.2028 | − | 27.5346i | 0.620450 | − | 1.20285i | ||||
\(525\) | 6.85696 | − | 2.76901i | 0.299262 | − | 0.120849i | ||||
\(526\) | 12.7579 | + | 34.8488i | 0.556271 | + | 1.51948i | ||||
\(527\) | 41.3141i | 1.79967i | ||||||||
\(528\) | −28.0051 | − | 4.97871i | −1.21876 | − | 0.216670i | ||||
\(529\) | − | 14.5384i | − | 0.632105i | ||||||
\(530\) | −3.92237 | + | 1.43595i | −0.170377 | + | 0.0623738i | ||||
\(531\) | −3.58852 | + | 1.41212i | −0.155729 | + | 0.0612807i | ||||
\(532\) | −0.867608 | − | 2.71618i | −0.0376156 | − | 0.117761i | ||||
\(533\) | −44.4647 | − | 18.4179i | −1.92598 | − | 0.797767i | ||||
\(534\) | 9.26290 | − | 8.36890i | 0.400845 | − | 0.362158i | ||||
\(535\) | −11.8902 | − | 11.8902i | −0.514059 | − | 0.514059i | ||||
\(536\) | −16.5809 | − | 21.3591i | −0.716188 | − | 0.922573i | ||||
\(537\) | −28.9677 | + | 28.4566i | −1.25005 | + | 1.22799i | ||||
\(538\) | 0.402810 | − | 9.64019i | 0.0173664 | − | 0.415618i | ||||
\(539\) | −3.79305 | − | 1.57113i | −0.163378 | − | 0.0676734i | ||||
\(540\) | 0.977042 | − | 8.82848i | 0.0420452 | − | 0.379917i | ||||
\(541\) | −1.50349 | − | 3.62973i | −0.0646399 | − | 0.156054i | 0.888259 | − | 0.459343i | \(-0.151915\pi\) |
−0.952899 | + | 0.303289i | \(0.901915\pi\) | |||||||
\(542\) | 29.9054 | + | 13.8770i | 1.28455 | + | 0.596066i | ||||
\(543\) | 0.271345 | − | 30.4867i | 0.0116445 | − | 1.30831i | ||||
\(544\) | −14.7590 | + | 21.5040i | −0.632789 | + | 0.921975i | ||||
\(545\) | − | 0.724433i | − | 0.0310313i | ||||||
\(546\) | 4.94074 | − | 10.4039i | 0.211444 | − | 0.445247i | ||||
\(547\) | 18.0556 | − | 7.47886i | 0.772000 | − | 0.319773i | 0.0383179 | − | 0.999266i | \(-0.487800\pi\) |
0.733682 | + | 0.679493i | \(0.237800\pi\) | |||||||
\(548\) | −1.22788 | + | 14.6674i | −0.0524525 | + | 0.626560i | ||||
\(549\) | −5.05749 | − | 2.20115i | −0.215848 | − | 0.0939426i | ||||
\(550\) | −24.7676 | − | 1.03490i | −1.05609 | − | 0.0441282i | ||||
\(551\) | 2.75034 | + | 2.75034i | 0.117169 | + | 0.117169i | ||||
\(552\) | 29.7456 | + | 4.01540i | 1.26606 | + | 0.170907i | ||||
\(553\) | −10.9194 | + | 10.9194i | −0.464341 | + | 0.464341i | ||||
\(554\) | 8.42030 | − | 7.74485i | 0.357744 | − | 0.329047i | ||||
\(555\) | 1.48246 | − | 3.49077i | 0.0629270 | − | 0.148175i | ||||
\(556\) | 4.81308 | + | 15.0681i | 0.204120 | + | 0.639029i | ||||
\(557\) | −3.89866 | − | 9.41220i | −0.165191 | − | 0.398808i | 0.819508 | − | 0.573067i | \(-0.194247\pi\) |
−0.984700 | + | 0.174260i | \(0.944247\pi\) | |||||||
\(558\) | 12.4319 | + | 35.9267i | 0.526284 | + | 1.52090i | ||||
\(559\) | −10.3471 | −0.437638 | ||||||||
\(560\) | 3.33215 | − | 0.764957i | 0.140809 | − | 0.0323254i | ||||
\(561\) | 0.291801 | − | 32.7850i | 0.0123198 | − | 1.38418i | ||||
\(562\) | 10.8763 | − | 3.98174i | 0.458789 | − | 0.167959i | ||||
\(563\) | −32.4168 | + | 13.4275i | −1.36621 | + | 0.565901i | −0.940757 | − | 0.339082i | \(-0.889884\pi\) |
−0.425449 | + | 0.904983i | \(0.639884\pi\) | |||||||
\(564\) | −20.0773 | + | 38.0876i | −0.845409 | + | 1.60378i | ||||
\(565\) | 3.31407 | − | 8.00087i | 0.139424 | − | 0.336599i | ||||
\(566\) | −23.1870 | + | 21.3270i | −0.974622 | + | 0.896441i | ||||
\(567\) | 6.13341 | + | 6.58644i | 0.257579 | + | 0.276605i | ||||
\(568\) | 1.40648 | − | 2.46803i | 0.0590148 | − | 0.103556i | ||||
\(569\) | 19.2523 | − | 19.2523i | 0.807097 | − | 0.807097i | −0.177096 | − | 0.984194i | \(-0.556670\pi\) |
0.984194 | + | 0.177096i | \(0.0566704\pi\) | |||||||
\(570\) | −2.98099 | − | 0.151147i | −0.124860 | − | 0.00633086i | ||||
\(571\) | −9.88196 | + | 23.8572i | −0.413547 | + | 0.998391i | 0.570631 | + | 0.821207i | \(0.306699\pi\) |
−0.984178 | + | 0.177184i | \(0.943301\pi\) | |||||||
\(572\) | −29.4828 | + | 24.9278i | −1.23274 | + | 1.04228i | ||||
\(573\) | 3.87851 | − | 1.56624i | 0.162027 | − | 0.0654305i | ||||
\(574\) | 13.1307 | + | 6.09301i | 0.548063 | + | 0.254317i | ||||
\(575\) | 26.1585 | 1.09088 | ||||||||
\(576\) | −6.36364 | + | 23.1410i | −0.265152 | + | 0.964207i | ||||
\(577\) | 22.2764 | 0.927380 | 0.463690 | − | 0.885998i | \(-0.346525\pi\) | ||||
0.463690 | + | 0.885998i | \(0.346525\pi\) | |||||||
\(578\) | −5.46205 | − | 2.53455i | −0.227191 | − | 0.105423i | ||||
\(579\) | −6.81711 | + | 2.75292i | −0.283309 | + | 0.114407i | ||||
\(580\) | −3.56129 | + | 3.01109i | −0.147875 | + | 0.125029i | ||||
\(581\) | −1.13547 | + | 2.74127i | −0.0471072 | + | 0.113727i | ||||
\(582\) | 35.6195 | + | 1.80604i | 1.47647 | + | 0.0748627i | ||||
\(583\) | −10.0319 | + | 10.0319i | −0.415480 | + | 0.415480i | ||||
\(584\) | −35.6986 | − | 20.3440i | −1.47722 | − | 0.841841i | ||||
\(585\) | −8.37214 | − | 8.67563i | −0.346145 | − | 0.358693i | ||||
\(586\) | −16.6118 | + | 15.2792i | −0.686226 | + | 0.631179i | ||||
\(587\) | −13.1122 | + | 31.6557i | −0.541199 | + | 1.30657i | 0.382679 | + | 0.923881i | \(0.375002\pi\) |
−0.923878 | + | 0.382688i | \(0.874998\pi\) | |||||||
\(588\) | −1.61536 | + | 3.06441i | −0.0666163 | + | 0.126374i | ||||
\(589\) | 11.8027 | − | 4.88882i | 0.486320 | − | 0.201440i | ||||
\(590\) | −1.45908 | + | 0.534158i | −0.0600693 | + | 0.0219909i | ||||
\(591\) | −0.126247 | + | 14.1844i | −0.00519312 | + | 0.583468i | ||||
\(592\) | −5.44097 | + | 8.68350i | −0.223622 | + | 0.356890i | ||||
\(593\) | 35.0902 | 1.44098 | 0.720492 | − | 0.693464i | \(-0.243916\pi\) | ||||
0.720492 | + | 0.693464i | \(0.243916\pi\) | |||||||
\(594\) | −9.61164 | − | 28.5976i | −0.394370 | − | 1.17337i | ||||
\(595\) | 1.50805 | + | 3.64076i | 0.0618241 | + | 0.149257i | ||||
\(596\) | −12.4313 | − | 38.9182i | −0.509208 | − | 1.59415i | ||||
\(597\) | −7.07715 | + | 16.6647i | −0.289648 | + | 0.682040i | ||||
\(598\) | 29.9861 | − | 27.5807i | 1.22622 | − | 1.12786i | ||||
\(599\) | −17.2410 | + | 17.2410i | −0.704446 | + | 0.704446i | −0.965362 | − | 0.260915i | \(-0.915976\pi\) |
0.260915 | + | 0.965362i | \(0.415976\pi\) | |||||||
\(600\) | −2.79812 | + | 20.7281i | −0.114233 | + | 0.846220i | ||||
\(601\) | 15.9790 | + | 15.9790i | 0.651796 | + | 0.651796i | 0.953425 | − | 0.301630i | \(-0.0975306\pi\) |
−0.301630 | + | 0.953425i | \(0.597531\pi\) | |||||||
\(602\) | 3.10938 | + | 0.129924i | 0.126729 | + | 0.00529529i | ||||
\(603\) | 11.4452 | − | 26.2971i | 0.466084 | − | 1.07090i | ||||
\(604\) | 3.26892 | − | 39.0483i | 0.133011 | − | 1.58885i | ||||
\(605\) | 4.62389 | − | 1.91528i | 0.187988 | − | 0.0778672i | ||||
\(606\) | 5.62587 | − | 11.8467i | 0.228535 | − | 0.481237i | ||||
\(607\) | 10.0664i | 0.408582i | 0.978910 | + | 0.204291i | \(0.0654889\pi\) | ||||
−0.978910 | + | 0.204291i | \(0.934511\pi\) | |||||||
\(608\) | 7.88976 | + | 1.67175i | 0.319972 | + | 0.0677985i | ||||
\(609\) | 0.0420563 | − | 4.72520i | 0.00170421 | − | 0.191475i | ||||
\(610\) | −2.01590 | − | 0.935434i | −0.0816212 | − | 0.0378746i | ||||
\(611\) | 22.3645 | + | 53.9927i | 0.904771 | + | 2.18431i | ||||
\(612\) | −27.5218 | − | 2.79811i | −1.11250 | − | 0.113107i | ||||
\(613\) | 28.3770 | + | 11.7541i | 1.14614 | + | 0.474746i | 0.873237 | − | 0.487297i | \(-0.162017\pi\) |
0.272901 | + | 0.962042i | \(0.412017\pi\) | |||||||
\(614\) | 1.18300 | − | 28.3119i | 0.0477419 | − | 1.14258i | ||||
\(615\) | 10.8096 | − | 10.6189i | 0.435887 | − | 0.428196i | ||||
\(616\) | 9.17278 | − | 7.12077i | 0.369582 | − | 0.286904i | ||||
\(617\) | −2.05184 | − | 2.05184i | −0.0826041 | − | 0.0826041i | 0.664597 | − | 0.747202i | \(-0.268603\pi\) |
−0.747202 | + | 0.664597i | \(0.768603\pi\) | |||||||
\(618\) | −2.27924 | + | 2.05926i | −0.0916844 | + | 0.0828356i | ||||
\(619\) | 5.60091 | + | 2.31997i | 0.225120 | + | 0.0932476i | 0.492392 | − | 0.870373i | \(-0.336123\pi\) |
−0.267273 | + | 0.963621i | \(0.586123\pi\) | |||||||
\(620\) | 4.66075 | + | 14.5912i | 0.187180 | + | 0.585995i | ||||
\(621\) | 11.3936 | + | 29.7275i | 0.457208 | + | 1.19292i | ||||
\(622\) | −16.1662 | + | 5.91835i | −0.648207 | + | 0.237304i | ||||
\(623\) | 5.09640i | 0.204183i | ||||||||
\(624\) | 18.6475 | + | 26.7113i | 0.746496 | + | 1.06931i | ||||
\(625\) | 14.5758i | 0.583032i | ||||||||
\(626\) | −2.32374 | − | 6.34741i | −0.0928754 | − | 0.253694i | ||||
\(627\) | −9.40059 | + | 3.79619i | −0.375423 | + | 0.151605i | ||||
\(628\) | 4.72101 | − | 9.15254i | 0.188389 | − | 0.365226i | ||||
\(629\) | −10.9125 | − | 4.52011i | −0.435110 | − | 0.180228i | ||||
\(630\) | 2.40695 | + | 2.71221i | 0.0958950 | + | 0.108057i | ||||
\(631\) | −9.05228 | − | 9.05228i | −0.360366 | − | 0.360366i | 0.503582 | − | 0.863948i | \(-0.332015\pi\) |
−0.863948 | + | 0.503582i | \(0.832015\pi\) | |||||||
\(632\) | −11.5415 | − | 42.1253i | −0.459097 | − | 1.67565i | ||||
\(633\) | 16.2696 | + | 16.5618i | 0.646659 | + | 0.658273i | ||||
\(634\) | −23.5818 | − | 0.985352i | −0.936553 | − | 0.0391333i | ||||
\(635\) | −0.347245 | − | 0.143834i | −0.0137800 | − | 0.00570787i | ||||
\(636\) | 7.64722 | + | 9.20959i | 0.303232 | + | 0.365184i | ||||
\(637\) | 1.79938 | + | 4.34408i | 0.0712939 | + | 0.172119i | ||||
\(638\) | −6.66752 | + | 14.3687i | −0.263969 | + | 0.568864i | ||||
\(639\) | 3.01250 | + | 0.0536293i | 0.119173 | + | 0.00212154i | ||||
\(640\) | −2.78663 | + | 9.25969i | −0.110151 | + | 0.366021i | ||||
\(641\) | 16.6514i | 0.657689i | 0.944384 | + | 0.328845i | \(0.106659\pi\) | ||||
−0.944384 | + | 0.328845i | \(0.893341\pi\) | |||||||
\(642\) | −20.6727 | + | 43.5314i | −0.815885 | + | 1.71805i | ||||
\(643\) | 21.1378 | − | 8.75558i | 0.833595 | − | 0.345286i | 0.0752701 | − | 0.997163i | \(-0.476018\pi\) |
0.758325 | + | 0.651877i | \(0.226018\pi\) | |||||||
\(644\) | −9.35732 | + | 7.91165i | −0.368730 | + | 0.311763i | ||||
\(645\) | 1.27342 | − | 2.99854i | 0.0501409 | − | 0.118067i | ||||
\(646\) | −0.388092 | + | 9.28797i | −0.0152693 | + | 0.365430i | ||||
\(647\) | −3.61890 | − | 3.61890i | −0.142274 | − | 0.142274i | 0.632383 | − | 0.774656i | \(-0.282077\pi\) |
−0.774656 | + | 0.632383i | \(0.782077\pi\) | |||||||
\(648\) | −24.7749 | + | 5.84841i | −0.973250 | + | 0.229747i | ||||
\(649\) | −3.73177 | + | 3.73177i | −0.146485 | + | 0.146485i | ||||
\(650\) | 19.2195 | + | 20.8957i | 0.753850 | + | 0.819595i | ||||
\(651\) | −14.2855 | − | 6.06674i | −0.559891 | − | 0.237774i | ||||
\(652\) | −21.8886 | − | 11.2905i | −0.857225 | − | 0.442169i | ||||
\(653\) | −12.4735 | − | 30.1138i | −0.488127 | − | 1.17844i | −0.955661 | − | 0.294468i | \(-0.904857\pi\) |
0.467534 | − | 0.883975i | \(-0.345143\pi\) | |||||||
\(654\) | −1.95587 | + | 0.696355i | −0.0764807 | + | 0.0272296i | ||||
\(655\) | 13.2402 | 0.517337 | ||||||||
\(656\) | −33.3615 | + | 23.7344i | −1.30255 | + | 0.926674i | ||||
\(657\) | 0.775718 | − | 43.5741i | 0.0302636 | − | 1.69999i | ||||
\(658\) | −6.04272 | − | 16.5060i | −0.235570 | − | 0.643470i | ||||
\(659\) | −29.1373 | + | 12.0691i | −1.13503 | + | 0.470144i | −0.869487 | − | 0.493956i | \(-0.835550\pi\) |
−0.265540 | + | 0.964100i | \(0.585550\pi\) | |||||||
\(660\) | −3.59550 | − | 11.6118i | −0.139955 | − | 0.451989i | ||||
\(661\) | 2.59423 | − | 6.26302i | 0.100904 | − | 0.243603i | −0.865363 | − | 0.501145i | \(-0.832912\pi\) |
0.966267 | + | 0.257541i | \(0.0829124\pi\) | |||||||
\(662\) | 0.961777 | + | 1.04566i | 0.0373805 | + | 0.0406406i | ||||
\(663\) | −26.7867 | + | 26.3140i | −1.04031 | + | 1.02195i | ||||
\(664\) | −5.14624 | − | 6.62924i | −0.199713 | − | 0.257265i | ||||
\(665\) | 0.861644 | − | 0.861644i | 0.0334131 | − | 0.0334131i | ||||
\(666\) | −10.8496 | − | 0.646975i | −0.420415 | − | 0.0250698i | ||||
\(667\) | 6.39668 | − | 15.4429i | 0.247680 | − | 0.597953i | ||||
\(668\) | 0.466201 | − | 5.56891i | 0.0180379 | − | 0.215467i | ||||
\(669\) | 5.04456 | + | 12.4920i | 0.195034 | + | 0.482967i | ||||
\(670\) | 4.86393 | − | 10.4819i | 0.187910 | − | 0.404953i | ||||
\(671\) | −7.54839 | −0.291402 | ||||||||
\(672\) | −5.26828 | − | 8.26106i | −0.203228 | − | 0.318677i | ||||
\(673\) | −0.323919 | −0.0124862 | −0.00624309 | − | 0.999981i | \(-0.501987\pi\) | ||||
−0.00624309 | + | 0.999981i | \(0.501987\pi\) | |||||||
\(674\) | 5.33635 | − | 11.5000i | 0.205548 | − | 0.442964i | ||||
\(675\) | −20.7155 | + | 7.93955i | −0.797339 | + | 0.305594i | ||||
\(676\) | 18.1541 | + | 1.51977i | 0.698234 | + | 0.0584527i | ||||
\(677\) | −1.57541 | + | 3.80337i | −0.0605478 | + | 0.146175i | −0.951258 | − | 0.308396i | \(-0.900208\pi\) |
0.890710 | + | 0.454572i | \(0.150208\pi\) | |||||||
\(678\) | −24.7869 | − | 1.25679i | −0.951936 | − | 0.0482666i | ||||
\(679\) | −10.2957 | + | 10.2957i | −0.395111 | + | 0.395111i | ||||
\(680\) | −11.0587 | − | 1.39273i | −0.424082 | − | 0.0534089i | ||||
\(681\) | −6.66010 | − | 6.77972i | −0.255216 | − | 0.259800i | ||||
\(682\) | 35.2206 | + | 38.2923i | 1.34867 | + | 1.46629i | ||||
\(683\) | −19.7967 | + | 47.7935i | −0.757501 | + | 1.82877i | −0.246633 | + | 0.969109i | \(0.579324\pi\) |
−0.510868 | + | 0.859659i | \(0.670676\pi\) | |||||||
\(684\) | 2.45737 | + | 8.19358i | 0.0939600 | + | 0.313289i | ||||
\(685\) | −5.81129 | + | 2.40711i | −0.222038 | + | 0.0919711i | ||||
\(686\) | −0.486178 | − | 1.32802i | −0.0185624 | − | 0.0507040i | ||||
\(687\) | 28.3702 | + | 0.252507i | 1.08239 | + | 0.00963374i | ||||
\(688\) | −4.67374 | + | 7.45904i | −0.178185 | + | 0.284373i | ||||
\(689\) | 16.2484 | 0.619013 | ||||||||
\(690\) | 4.30234 | + | 12.0841i | 0.163787 | + | 0.460035i | ||||
\(691\) | −4.03747 | − | 9.74731i | −0.153593 | − | 0.370805i | 0.828289 | − | 0.560301i | \(-0.189315\pi\) |
−0.981882 | + | 0.189496i | \(0.939315\pi\) | |||||||
\(692\) | −12.7618 | + | 24.7411i | −0.485131 | + | 0.940514i | ||||
\(693\) | 11.2934 | + | 4.91519i | 0.429002 | + | 0.186713i | ||||
\(694\) | 16.6297 | + | 18.0801i | 0.631256 | + | 0.686310i | ||||
\(695\) | −4.77999 | + | 4.77999i | −0.181316 | + | 0.181316i | ||||
\(696\) | 11.5528 | + | 6.72065i | 0.437908 | + | 0.254745i | ||||
\(697\) | −33.3704 | − | 33.3704i | −1.26399 | − | 1.26399i | ||||
\(698\) | 0.584402 | − | 13.9861i | 0.0221200 | − | 0.529383i | ||||
\(699\) | 22.0203 | + | 9.35158i | 0.832885 | + | 0.353709i | ||||
\(700\) | −5.51320 | − | 6.52061i | −0.208379 | − | 0.246456i | ||||
\(701\) | −9.75134 | + | 4.03914i | −0.368303 | + | 0.152556i | −0.559156 | − | 0.829063i | \(-0.688875\pi\) |
0.190853 | + | 0.981619i | \(0.438875\pi\) | |||||||
\(702\) | −15.3754 | + | 30.9430i | −0.580308 | + | 1.16787i | ||||
\(703\) | 3.65237i | 0.137752i | ||||||||
\(704\) | 4.65276 | + | 32.5133i | 0.175358 | + | 1.22539i | ||||
\(705\) | −18.3992 | − | 0.163760i | −0.692952 | − | 0.00616757i | ||||
\(706\) | −10.2096 | + | 22.0022i | −0.384245 | + | 0.828062i | ||||
\(707\) | 2.04890 | + | 4.94648i | 0.0770567 | + | 0.186031i | ||||
\(708\) | 2.84468 | + | 3.42586i | 0.106910 | + | 0.128752i | ||||
\(709\) | 7.64758 | + | 3.16773i | 0.287211 | + | 0.118967i | 0.521638 | − | 0.853167i | \(-0.325321\pi\) |
−0.234427 | + | 0.972134i | \(0.575321\pi\) | |||||||
\(710\) | 1.21291 | + | 0.0506807i | 0.0455197 | + | 0.00190201i | ||||
\(711\) | 33.3362 | − | 32.1700i | 1.25020 | − | 1.20647i | ||||
\(712\) | −12.5239 | − | 7.13714i | −0.469352 | − | 0.267476i | ||||
\(713\) | −38.8206 | − | 38.8206i | −1.45384 | − | 1.45384i | ||||
\(714\) | 8.37997 | − | 7.57119i | 0.313613 | − | 0.283345i | ||||
\(715\) | −15.2436 | − | 6.31411i | −0.570079 | − | 0.236134i | ||||
\(716\) | 41.6716 | + | 21.4948i | 1.55734 | + | 0.803299i | ||||
\(717\) | −12.6765 | − | 31.3911i | −0.473412 | − | 1.17232i | ||||
\(718\) | −17.3976 | − | 47.5224i | −0.649273 | − | 1.77352i | ||||
\(719\) | − | 18.0723i | − | 0.673984i | −0.941508 | − | 0.336992i | \(-0.890590\pi\) | ||
0.941508 | − | 0.336992i | \(-0.109410\pi\) | |||||||
\(720\) | −10.0357 | + | 2.11658i | −0.374009 | + | 0.0788802i | ||||
\(721\) | − | 1.25403i | − | 0.0467023i | ||||||
\(722\) | −22.5330 | + | 8.24918i | −0.838592 | + | 0.307003i | ||||
\(723\) | 2.84790 | + | 7.05232i | 0.105915 | + | 0.262279i | ||||
\(724\) | −33.5352 | + | 10.7119i | −1.24633 | + | 0.398104i | ||||
\(725\) | 10.7613 | + | 4.45750i | 0.399666 | + | 0.165547i | ||||
\(726\) | −9.61568 | − | 10.6429i | −0.356871 | − | 0.394994i | ||||
\(727\) | −2.47204 | − | 2.47204i | −0.0916827 | − | 0.0916827i | 0.659778 | − | 0.751461i | \(-0.270650\pi\) |
−0.751461 | + | 0.659778i | \(0.770650\pi\) | |||||||
\(728\) | −13.1950 | − | 1.66178i | −0.489040 | − | 0.0615897i | ||||
\(729\) | −18.0456 | − | 20.0837i | −0.668356 | − | 0.743841i | ||||
\(730\) | 0.733068 | − | 17.5440i | 0.0271321 | − | 0.649334i | ||||
\(731\) | −9.37373 | − | 3.88273i | −0.346700 | − | 0.143608i | ||||
\(732\) | −0.587789 | + | 6.34183i | −0.0217253 | + | 0.234401i | ||||
\(733\) | 8.48130 | + | 20.4757i | 0.313264 | + | 0.756286i | 0.999580 | + | 0.0289824i | \(0.00922668\pi\) |
−0.686316 | + | 0.727303i | \(0.740773\pi\) | |||||||
\(734\) | 36.6298 | + | 16.9973i | 1.35203 | + | 0.627381i | ||||
\(735\) | −1.48034 | − | 0.0131756i | −0.0546031 | − | 0.000485991i | ||||
\(736\) | −6.33783 | − | 34.0743i | −0.233615 | − | 1.25600i | ||||
\(737\) | − | 39.2489i | − | 1.44575i | ||||||
\(738\) | −39.0604 | − | 18.9773i | −1.43783 | − | 0.698563i | ||||
\(739\) | −24.4495 | + | 10.1273i | −0.899390 | + | 0.372540i | −0.783986 | − | 0.620779i | \(-0.786816\pi\) |
−0.115405 | + | 0.993319i | \(0.536816\pi\) | |||||||
\(740\) | −4.36396 | − | 0.365329i | −0.160422 | − | 0.0134297i | ||||
\(741\) | 10.6872 | + | 4.53862i | 0.392603 | + | 0.166730i | ||||
\(742\) | −4.88274 | − | 0.204022i | −0.179251 | − | 0.00748989i | ||||
\(743\) | −27.9409 | − | 27.9409i | −1.02505 | − | 1.02505i | −0.999678 | − | 0.0253737i | \(-0.991922\pi\) |
−0.0253737 | − | 0.999678i | \(-0.508078\pi\) | |||||||
\(744\) | 34.9141 | − | 26.6090i | 1.28001 | − | 0.975534i | ||||
\(745\) | 12.3459 | − | 12.3459i | 0.452318 | − | 0.452318i | ||||
\(746\) | −33.9218 | + | 31.2007i | −1.24197 | + | 1.14234i | ||||
\(747\) | 3.55225 | − | 8.16187i | 0.129970 | − | 0.298627i | ||||
\(748\) | −36.0633 | + | 11.5194i | −1.31860 | + | 0.421192i | ||||
\(749\) | −7.52882 | − | 18.1762i | −0.275097 | − | 0.664143i | ||||
\(750\) | −18.2824 | + | 6.50912i | −0.667578 | + | 0.237679i | ||||
\(751\) | −34.7248 | −1.26713 | −0.633563 | − | 0.773691i | \(-0.718408\pi\) | ||||
−0.633563 | + | 0.773691i | \(0.718408\pi\) | |||||||
\(752\) | 49.0241 | + | 8.26603i | 1.78773 | + | 0.301431i | ||||
\(753\) | 4.66253 | + | 0.0414985i | 0.169912 | + | 0.00151229i | ||||
\(754\) | 17.0358 | − | 6.23670i | 0.620408 | − | 0.227127i | ||||
\(755\) | 15.4711 | − | 6.40834i | 0.563051 | − | 0.233223i | ||||
\(756\) | 5.00894 | − | 9.10552i | 0.182174 | − | 0.331165i | ||||
\(757\) | 16.8506 | − | 40.6809i | 0.612444 | − | 1.47857i | −0.247863 | − | 0.968795i | \(-0.579728\pi\) |
0.860307 | − | 0.509776i | \(-0.170272\pi\) | |||||||
\(758\) | −15.9313 | + | 14.6534i | −0.578651 | + | 0.532234i | ||||
\(759\) | 30.5321 | + | 31.0805i | 1.10824 | + | 1.12815i | ||||
\(760\) | 0.910733 | + | 3.32407i | 0.0330357 | + | 0.120577i | ||||
\(761\) | −29.8147 | + | 29.8147i | −1.08078 | + | 1.08078i | −0.0843469 | + | 0.996436i | \(0.526880\pi\) |
−0.996436 | + | 0.0843469i | \(0.973120\pi\) | |||||||
\(762\) | −0.0545458 | + | 1.07578i | −0.00197599 | + | 0.0389712i | ||||
\(763\) | 0.324355 | − | 0.783062i | 0.0117424 | − | 0.0283488i | ||||
\(764\) | −3.11844 | − | 3.68826i | −0.112821 | − | 0.133437i | ||||
\(765\) | −4.32903 | − | 11.0011i | −0.156516 | − | 0.397745i | ||||
\(766\) | 3.26538 | + | 1.51523i | 0.117983 | + | 0.0547476i | ||||
\(767\) | 6.04421 | 0.218244 | ||||||||
\(768\) | 27.6786 | − | 1.37726i | 0.998764 | − | 0.0496975i | ||||
\(769\) | 52.1985 | 1.88233 | 0.941163 | − | 0.337953i | \(-0.109734\pi\) | ||||
0.941163 | + | 0.337953i | \(0.109734\pi\) | |||||||
\(770\) | 4.50152 | + | 2.08884i | 0.162224 | + | 0.0752765i | ||||
\(771\) | 12.7886 | + | 31.6686i | 0.460569 | + | 1.14052i | ||||
\(772\) | 5.48116 | + | 6.48272i | 0.197271 | + | 0.233318i | ||||
\(773\) | −2.37779 | + | 5.74048i | −0.0855230 | + | 0.206471i | −0.960855 | − | 0.277051i | \(-0.910643\pi\) |
0.875332 | + | 0.483522i | \(0.160643\pi\) | |||||||
\(774\) | −9.31973 | − | 0.555745i | −0.334991 | − | 0.0199758i | ||||
\(775\) | 27.0520 | − | 27.0520i | 0.971736 | − | 0.971736i | ||||
\(776\) | −10.8822 | − | 39.7189i | −0.390649 | − | 1.42582i | ||||
\(777\) | 3.16538 | − | 3.10953i | 0.113558 | − | 0.111554i | ||||
\(778\) | 27.3079 | − | 25.1173i | 0.979035 | − | 0.900500i | ||||
\(779\) | −5.58447 | + | 13.4821i | −0.200084 | + | 0.483047i | ||||
\(780\) | −6.49186 | + | 12.3154i | −0.232446 | + | 0.440961i | ||||
\(781\) | 3.80945 | − | 1.57793i | 0.136313 | − | 0.0564627i | ||||
\(782\) | 37.5147 | − | 13.7339i | 1.34152 | − | 0.491122i | ||||
\(783\) | −0.378467 | + | 14.1711i | −0.0135253 | + | 0.506434i | ||||
\(784\) | 3.94432 | + | 0.665059i | 0.140869 | + | 0.0237521i | ||||
\(785\) | 4.40106 | 0.157080 | ||||||||
\(786\) | −12.7270 | − | 35.7468i | −0.453957 | − | 1.27504i | ||||
\(787\) | −9.07471 | − | 21.9083i | −0.323478 | − | 0.780946i | −0.999047 | − | 0.0436486i | \(-0.986102\pi\) |
0.675569 | − | 0.737297i | \(-0.263898\pi\) | |||||||
\(788\) | 15.6027 | − | 4.98386i | 0.555824 | − | 0.177543i | ||||
\(789\) | 41.8349 | + | 17.7664i | 1.48936 | + | 0.632502i | ||||
\(790\) | 13.7383 | − | 12.6362i | 0.488785 | − | 0.449576i | ||||
\(791\) | 7.16456 | − | 7.16456i | 0.254742 | − | 0.254742i | ||||
\(792\) | −27.8942 | + | 20.8691i | −0.991178 | + | 0.741552i | ||||
\(793\) | 6.11292 | + | 6.11292i | 0.217076 | + | 0.217076i | ||||
\(794\) | −19.4425 | − | 0.812395i | −0.689990 | − | 0.0288308i | ||||
\(795\) | −1.99968 | + | 4.70868i | −0.0709214 | + | 0.167000i | ||||
\(796\) | 20.8332 | + | 1.74405i | 0.738413 | + | 0.0618162i | ||||
\(797\) | 15.9558 | − | 6.60911i | 0.565183 | − | 0.234107i | −0.0817504 | − | 0.996653i | \(-0.526051\pi\) |
0.646934 | + | 0.762546i | \(0.276051\pi\) | |||||||
\(798\) | −3.15457 | − | 1.49808i | −0.111671 | − | 0.0530314i | ||||
\(799\) | 57.3055i | 2.02732i | ||||||||
\(800\) | 23.7446 | − | 4.41649i | 0.839497 | − | 0.156146i | ||||
\(801\) | 0.272139 | − | 15.2868i | 0.00961557 | − | 0.540132i | ||||
\(802\) | 41.7115 | + | 19.3554i | 1.47289 | + | 0.683462i | ||||
\(803\) | −22.8238 | − | 55.1016i | −0.805436 | − | 1.94449i | ||||
\(804\) | −32.9753 | − | 3.05629i | −1.16295 | − | 0.107787i | ||||
\(805\) | −4.83805 | − | 2.00399i | −0.170519 | − | 0.0706313i | ||||
\(806\) | 2.48755 | − | 59.5331i | 0.0876203 | − | 2.09696i | ||||
\(807\) | −8.28124 | − | 8.42997i | −0.291513 | − | 0.296749i | ||||
\(808\) | −15.0248 | − | 1.89222i | −0.528570 | − | 0.0665681i | ||||
\(809\) | 30.4647 | + | 30.4647i | 1.07108 | + | 1.07108i | 0.997272 | + | 0.0738079i | \(0.0235152\pi\) |
0.0738079 | + | 0.997272i | \(0.476485\pi\) | |||||||
\(810\) | −7.07487 | − | 8.26385i | −0.248585 | − | 0.290362i | ||||
\(811\) | 7.17939 | + | 2.97380i | 0.252103 | + | 0.104424i | 0.505156 | − | 0.863028i | \(-0.331435\pi\) |
−0.253054 | + | 0.967452i | \(0.581435\pi\) | |||||||
\(812\) | −5.19769 | + | 1.66026i | −0.182403 | + | 0.0582636i | ||||
\(813\) | 37.4401 | − | 15.1192i | 1.31308 | − | 0.530254i | ||||
\(814\) | −13.9677 | + | 5.11349i | −0.489569 | + | 0.179228i | ||||
\(815\) | − | 10.5253i | − | 0.368685i | ||||||
\(816\) | 6.86989 | + | 31.1958i | 0.240494 | + | 1.09207i | ||||
\(817\) | 3.13735i | 0.109762i | ||||||||
\(818\) | −15.2502 | − | 41.6567i | −0.533212 | − | 1.45649i | ||||
\(819\) | −5.16531 | − | 13.1263i | −0.180491 | − | 0.458669i | ||||
\(820\) | −15.5502 | − | 8.02104i | −0.543037 | − | 0.280107i | ||||
\(821\) | −39.7843 | − | 16.4792i | −1.38848 | − | 0.575128i | −0.441747 | − | 0.897140i | \(-0.645641\pi\) |
−0.946736 | + | 0.322011i | \(0.895641\pi\) | |||||||
\(822\) | 12.0849 | + | 13.3759i | 0.421511 | + | 0.466538i | ||||
\(823\) | 13.7823 | + | 13.7823i | 0.480422 | + | 0.480422i | 0.905266 | − | 0.424844i | \(-0.139671\pi\) |
−0.424844 | + | 0.905266i | \(0.639671\pi\) | |||||||
\(824\) | 3.08164 | + | 1.75617i | 0.107354 | + | 0.0611791i | ||||
\(825\) | −21.6583 | + | 21.2761i | −0.754045 | + | 0.740740i | ||||
\(826\) | −1.81632 | − | 0.0758940i | −0.0631980 | − | 0.00264069i | ||||
\(827\) | 34.7083 | + | 14.3766i | 1.20693 | + | 0.499925i | 0.893230 | − | 0.449599i | \(-0.148433\pi\) |
0.313695 | + | 0.949524i | \(0.398433\pi\) | |||||||
\(828\) | 28.4900 | − | 23.2315i | 0.990095 | − | 0.807351i | ||||
\(829\) | −14.1867 | − | 34.2496i | −0.492723 | − | 1.18954i | −0.953329 | − | 0.301934i | \(-0.902368\pi\) |
0.460606 | − | 0.887605i | \(-0.347632\pi\) | |||||||
\(830\) | 1.50962 | − | 3.25329i | 0.0523997 | − | 0.112923i | ||||
\(831\) | 0.124705 | − | 14.0111i | 0.00432596 | − | 0.486039i | ||||
\(832\) | 22.5623 | − | 30.0982i | 0.782208 | − | 1.04347i | ||||
\(833\) | 4.61062i | 0.159749i | ||||||||
\(834\) | 17.5001 | + | 8.31063i | 0.605978 | + | 0.287774i | ||||
\(835\) | 2.20643 | − | 0.913931i | 0.0763565 | − | 0.0316279i | ||||
\(836\) | 7.55835 | + | 8.93947i | 0.261411 | + | 0.309178i | ||||
\(837\) | 42.5256 | + | 18.9602i | 1.46990 | + | 0.655359i | ||||
\(838\) | 0.0142564 | − | 0.341190i | 0.000492480 | − | 0.0117862i | ||||
\(839\) | 2.18797 | + | 2.18797i | 0.0755371 | + | 0.0755371i | 0.743866 | − | 0.668329i | \(-0.232990\pi\) |
−0.668329 | + | 0.743866i | \(0.732990\pi\) | |||||||
\(840\) | 2.10548 | − | 3.61933i | 0.0726461 | − | 0.124879i | ||||
\(841\) | −15.2430 | + | 15.2430i | −0.525622 | + | 0.525622i | ||||
\(842\) | −1.86921 | − | 2.03223i | −0.0644171 | − | 0.0700351i | ||||
\(843\) | 5.54490 | − | 13.0567i | 0.190976 | − | 0.449695i | ||||
\(844\) | 12.2893 | − | 23.8250i | 0.423015 | − | 0.820091i | ||||
\(845\) | 2.97933 | + | 7.19273i | 0.102492 | + | 0.247437i | ||||
\(846\) | 17.2439 | + | 49.8327i | 0.592857 | + | 1.71328i | ||||
\(847\) | 5.85565 | 0.201203 | ||||||||
\(848\) | 7.33928 | − | 11.7131i | 0.252032 | − | 0.402230i | ||||
\(849\) | −0.343399 | + | 38.5824i | −0.0117854 | + | 1.32414i | ||||
\(850\) | 9.57038 | + | 26.1419i | 0.328261 | + | 0.896661i | ||||
\(851\) | 14.5012 | − | 6.00658i | 0.497094 | − | 0.205903i | ||||
\(852\) | −1.02907 | − | 3.32341i | −0.0352552 | − | 0.113858i | ||||
\(853\) | −3.86556 | + | 9.33229i | −0.132354 | + | 0.319532i | −0.976138 | − | 0.217152i | \(-0.930323\pi\) |
0.843783 | + | 0.536684i | \(0.180323\pi\) | |||||||
\(854\) | −1.76022 | − | 1.91373i | −0.0602333 | − | 0.0654864i | ||||
\(855\) | −2.63053 | + | 2.53851i | −0.0899623 | + | 0.0868153i | ||||
\(856\) | 55.2097 | + | 6.95310i | 1.88703 | + | 0.237652i | ||||
\(857\) | 9.61025 | − | 9.61025i | 0.328280 | − | 0.328280i | −0.523652 | − | 0.851932i | \(-0.675431\pi\) |
0.851932 | + | 0.523652i | \(0.175431\pi\) | |||||||
\(858\) | −2.39449 | + | 47.2252i | −0.0817465 | + | 1.61224i | ||||
\(859\) | 15.5404 | − | 37.5179i | 0.530232 | − | 1.28009i | −0.401137 | − | 0.916018i | \(-0.631385\pi\) |
0.931369 | − | 0.364076i | \(-0.118615\pi\) | |||||||
\(860\) | −3.74860 | − | 0.313814i | −0.127826 | − | 0.0107010i | ||||
\(861\) | 16.4390 | − | 6.63845i | 0.560238 | − | 0.226238i | ||||
\(862\) | 6.33043 | − | 13.6423i | 0.215615 | − | 0.464659i | ||||
\(863\) | 37.5202 | 1.27720 | 0.638602 | − | 0.769537i | \(-0.279513\pi\) | ||||
0.638602 | + | 0.769537i | \(0.279513\pi\) | |||||||
\(864\) | 15.3612 | + | 25.0606i | 0.522599 | + | 0.852578i | ||||
\(865\) | −11.8969 | −0.404507 | ||||||||
\(866\) | 14.4864 | − | 31.2186i | 0.492266 | − | 1.06085i | ||||
\(867\) | −6.83823 | + | 2.76144i | −0.232238 | + | 0.0937836i | ||||
\(868\) | −1.49505 | + | 17.8588i | −0.0507453 | + | 0.606168i | ||||
\(869\) | 24.2620 | − | 58.5738i | 0.823034 | − | 1.98698i | ||||
\(870\) | −0.289236 | + | 5.70443i | −0.00980601 | + | 0.193398i | ||||
\(871\) | −31.7850 | + | 31.7850i | −1.07699 | + | 1.07699i | ||||
\(872\) | 1.47006 | + | 1.89369i | 0.0497825 | + | 0.0641285i | ||||
\(873\) | 31.4319 | − | 30.3323i | 1.06381 | − | 1.02659i | ||||
\(874\) | −8.36272 | − | 9.09206i | −0.282873 | − | 0.307544i | ||||
\(875\) | 3.03188 | − | 7.31961i | 0.102496 | − | 0.247448i | ||||
\(876\) | −48.0713 | + | 14.8849i | −1.62418 | + | 0.502913i | ||||
\(877\) | 0.133993 | − | 0.0555018i | 0.00452463 | − | 0.00187416i | −0.380420 | − | 0.924814i | \(-0.624221\pi\) |
0.384945 | + | 0.922940i | \(0.374221\pi\) | |||||||
\(878\) | −10.2126 | − | 27.8962i | −0.344659 | − | 0.941451i | ||||
\(879\) | −0.246020 | + | 27.6414i | −0.00829806 | + | 0.932322i | ||||
\(880\) | −11.4372 | + | 8.13677i | −0.385546 | + | 0.274290i | ||||
\(881\) | 22.4256 | 0.755536 | 0.377768 | − | 0.925900i | \(-0.376692\pi\) | ||||
0.377768 | + | 0.925900i | \(0.376692\pi\) | |||||||
\(882\) | 1.38739 | + | 4.00938i | 0.0467158 | + | 0.135003i | ||||
\(883\) | −7.27614 | − | 17.5661i | −0.244861 | − | 0.591148i | 0.752892 | − | 0.658144i | \(-0.228658\pi\) |
−0.997753 | + | 0.0669965i | \(0.978658\pi\) | |||||||
\(884\) | 38.5340 | + | 19.8764i | 1.29604 | + | 0.668516i | ||||
\(885\) | −0.743859 | + | 1.75158i | −0.0250045 | + | 0.0588786i | ||||
\(886\) | −14.7476 | − | 16.0338i | −0.495455 | − | 0.538665i | ||||
\(887\) | −10.8685 | + | 10.8685i | −0.364927 | + | 0.364927i | −0.865623 | − | 0.500696i | \(-0.833078\pi\) |
0.500696 | + | 0.865623i | \(0.333078\pi\) | |||||||
\(888\) | 3.20848 | + | 12.1333i | 0.107669 | + | 0.407166i | ||||
\(889\) | −0.310949 | − | 0.310949i | −0.0104289 | − | 0.0104289i | ||||
\(890\) | 0.257177 | − | 6.15485i | 0.00862058 | − | 0.206311i | ||||
\(891\) | −33.6125 | − | 15.3463i | −1.12606 | − | 0.514120i | ||||
\(892\) | 11.8792 | − | 10.0439i | 0.397745 | − | 0.336295i | ||||
\(893\) | 16.3711 | − | 6.78113i | 0.547838 | − | 0.226922i | ||||
\(894\) | −45.1996 | − | 21.4649i | −1.51170 | − | 0.717893i | ||||
\(895\) | 20.0381i | 0.669798i | ||||||||
\(896\) | −7.15805 | + | 8.76141i | −0.239134 | + | 0.292698i | ||||
\(897\) | 0.444094 | − | 49.8958i | 0.0148279 | − | 1.66597i | ||||
\(898\) | −7.42921 | + | 16.0102i | −0.247916 | + | 0.534268i | ||||
\(899\) | −9.35526 | − | 22.5856i | −0.312015 | − | 0.753272i | ||||
\(900\) | 16.1888 | + | 19.8531i | 0.539626 | + | 0.661771i | ||||
\(901\) | 14.7198 | + | 6.09714i | 0.490387 | + | 0.203125i | ||||
\(902\) | −59.3781 | − | 2.48108i | −1.97707 | − | 0.0826109i | ||||
\(903\) | 2.71903 | − | 2.67106i | 0.0904838 | − | 0.0888873i | ||||
\(904\) | 7.57273 | + | 27.6396i | 0.251865 | + | 0.919280i | ||||
\(905\) | −10.6382 | − | 10.6382i | −0.353627 | − | 0.353627i | ||||
\(906\) | −32.1731 | − | 35.6100i | −1.06888 | − | 1.18306i | ||||
\(907\) | −27.7384 | − | 11.4896i | −0.921037 | − | 0.381506i | −0.128766 | − | 0.991675i | \(-0.541101\pi\) |
−0.792271 | + | 0.610169i | \(0.791101\pi\) | |||||||
\(908\) | −5.03073 | + | 9.75298i | −0.166951 | + | 0.323664i | ||||
\(909\) | −5.88158 | − | 14.9465i | −0.195080 | − | 0.495744i | ||||
\(910\) | −1.95387 | − | 5.33708i | −0.0647701 | − | 0.176923i | ||||
\(911\) | 19.5290i | 0.647024i | 0.946224 | + | 0.323512i | \(0.104864\pi\) | ||||
−0.946224 | + | 0.323512i | \(0.895136\pi\) | |||||||
\(912\) | 8.09912 | − | 5.65409i | 0.268189 | − | 0.187226i | ||||
\(913\) | − | 12.1817i | − | 0.403156i | ||||||
\(914\) | 39.4109 | − | 14.4281i | 1.30360 | − | 0.477238i | ||||
\(915\) | −2.52380 | + | 1.01917i | −0.0834344 | + | 0.0336928i | ||||
\(916\) | −9.96822 | − | 31.2070i | −0.329359 | − | 1.03111i | ||||
\(917\) | 14.3117 | + | 5.92811i | 0.472615 | + | 0.195763i | ||||
\(918\) | −25.5402 | + | 22.2625i | −0.842953 | + | 0.734772i | ||||
\(919\) | 24.4689 | + | 24.4689i | 0.807153 | + | 0.807153i | 0.984202 | − | 0.177049i | \(-0.0566550\pi\) |
−0.177049 | + | 0.984202i | \(0.556655\pi\) | |||||||
\(920\) | 11.6999 | − | 9.08259i | 0.385736 | − | 0.299444i | ||||
\(921\) | −24.3209 | − | 24.7577i | −0.801400 | − | 0.815794i | ||||
\(922\) | −0.112261 | + | 2.68667i | −0.00369712 | + | 0.0884808i | ||||
\(923\) | −4.36287 | − | 1.80716i | −0.143606 | − | 0.0594834i | ||||
\(924\) | 1.31254 | − | 14.1614i | 0.0431794 | − | 0.465876i | ||||
\(925\) | 4.18566 | + | 10.1051i | 0.137624 | + | 0.332253i | ||||
\(926\) | −14.8328 | − | 6.88284i | −0.487435 | − | 0.226184i | ||||
\(927\) | −0.0669628 | + | 3.76148i | −0.00219935 | + | 0.123543i | ||||
\(928\) | 3.19907 | − | 15.0978i | 0.105014 | − | 0.495611i | ||||
\(929\) | 0.278857i | 0.00914899i | 0.999990 | + | 0.00457449i | \(0.00145611\pi\) | ||||
−0.999990 | + | 0.00457449i | \(0.998544\pi\) | |||||||
\(930\) | 16.9462 | + | 8.04759i | 0.555687 | + | 0.263891i | ||||
\(931\) | 1.31717 | − | 0.545588i | 0.0431684 | − | 0.0178809i | ||||
\(932\) | 2.30455 | − | 27.5285i | 0.0754880 | − | 0.901726i | ||||
\(933\) | −8.24179 | + | 19.4071i | −0.269824 | + | 0.635359i | ||||
\(934\) | −28.4457 | − | 1.18859i | −0.930773 | − | 0.0388918i | ||||
\(935\) | −11.4402 | − | 11.4402i | −0.374135 | − | 0.374135i | ||||
\(936\) | 39.4901 | + | 5.68915i | 1.29077 | + | 0.185956i | ||||
\(937\) | −5.03953 | + | 5.03953i | −0.164634 | + | 0.164634i | −0.784616 | − | 0.619982i | \(-0.787140\pi\) |
0.619982 | + | 0.784616i | \(0.287140\pi\) | |||||||
\(938\) | 9.95071 | − | 9.15250i | 0.324902 | − | 0.298840i | ||||
\(939\) | −7.61987 | − | 3.23600i | −0.248665 | − | 0.105603i | ||||
\(940\) | 6.46477 | + | 20.2389i | 0.210858 | + | 0.660121i | ||||
\(941\) | 22.1398 | + | 53.4502i | 0.721736 | + | 1.74243i | 0.668345 | + | 0.743852i | \(0.267003\pi\) |
0.0533915 | + | 0.998574i | \(0.482997\pi\) | |||||||
\(942\) | −4.23047 | − | 11.8823i | −0.137836 | − | 0.387145i | ||||
\(943\) | 62.7127 | 2.04221 | ||||||||
\(944\) | 2.73013 | − | 4.35715i | 0.0888582 | − | 0.141813i | ||||
\(945\) | 4.43961 | + | 0.118568i | 0.144420 | + | 0.00385702i | ||||
\(946\) | −11.9982 | + | 4.39244i | −0.390094 | + | 0.142811i | ||||
\(947\) | 38.2455 | − | 15.8418i | 1.24281 | − | 0.514789i | 0.338218 | − | 0.941068i | \(-0.390176\pi\) |
0.904592 | + | 0.426279i | \(0.140176\pi\) | |||||||
\(948\) | −47.3219 | − | 24.9450i | −1.53694 | − | 0.810177i | ||||
\(949\) | −26.1396 | + | 63.1065i | −0.848526 | + | 2.04852i | ||||
\(950\) | 6.33576 | − | 5.82753i | 0.205559 | − | 0.189070i | ||||
\(951\) | −20.6214 | + | 20.2575i | −0.668694 | + | 0.656896i | ||||
\(952\) | −11.3301 | − | 6.45684i | −0.367212 | − | 0.209267i | ||||
\(953\) | 15.2723 | − | 15.2723i | 0.494718 | − | 0.494718i | −0.415071 | − | 0.909789i | \(-0.636243\pi\) |
0.909789 | + | 0.415071i | \(0.136243\pi\) | |||||||
\(954\) | 14.6350 | + | 0.872700i | 0.473825 | + | 0.0282547i | ||||
\(955\) | 0.789887 | − | 1.90696i | 0.0255601 | − | 0.0617076i | ||||
\(956\) | −29.8513 | + | 25.2394i | −0.965459 | + | 0.816299i | ||||
\(957\) | 7.26439 | + | 17.9890i | 0.234824 | + | 0.581501i | ||||
\(958\) | −10.6504 | − | 4.94208i | −0.344098 | − | 0.159671i | ||||
\(959\) | −7.35935 | −0.237646 | ||||||||
\(960\) | 5.94556 | + | 10.2426i | 0.191892 | + | 0.330579i | ||||
\(961\) | −49.2932 | −1.59010 | ||||||||
\(962\) | 15.4526 | + | 7.17045i | 0.498212 | + | 0.231185i | ||||
\(963\) | 21.6123 | + | 54.9219i | 0.696447 | + | 1.76983i | ||||
\(964\) | 6.70639 | − | 5.67028i | 0.215998 | − | 0.182627i | ||||
\(965\) | −1.38835 | + | 3.35179i | −0.0446927 | + | 0.107898i | ||||
\(966\) | −0.759969 | + | 14.9884i | −0.0244516 | + | 0.482245i | ||||
\(967\) | 13.8644 | − | 13.8644i | 0.445850 | − | 0.445850i | −0.448122 | − | 0.893972i | \(-0.647907\pi\) |
0.893972 | + | 0.448122i | \(0.147907\pi\) | |||||||
\(968\) | −8.20041 | + | 14.3897i | −0.263571 | + | 0.462501i | ||||
\(969\) | 7.97867 | + | 8.12197i | 0.256312 | + | 0.260915i | ||||
\(970\) | 12.9535 | − | 11.9144i | 0.415911 | − | 0.382547i | ||||
\(971\) | 2.44546 | − | 5.90386i | 0.0784785 | − | 0.189464i | −0.879771 | − | 0.475398i | \(-0.842304\pi\) |
0.958249 | + | 0.285934i | \(0.0923040\pi\) | |||||||
\(972\) | −15.5107 | + | 27.0448i | −0.497505 | + | 0.867461i | ||||
\(973\) | −7.30702 | + | 3.02667i | −0.234252 | + | 0.0970305i | ||||
\(974\) | −1.70368 | + | 0.623704i | −0.0545893 | + | 0.0199848i | ||||
\(975\) | 34.7697 | + | 0.309465i | 1.11352 | + | 0.00991080i | ||||
\(976\) | 7.16785 | − | 1.64551i | 0.229437 | − | 0.0526716i | ||||
\(977\) | −28.6329 | −0.916048 | −0.458024 | − | 0.888940i | \(-0.651443\pi\) | ||||
−0.458024 | + | 0.888940i | \(0.651443\pi\) | |||||||
\(978\) | −28.4169 | + | 10.1173i | −0.908672 | + | 0.323517i | ||||
\(979\) | −8.00711 | − | 19.3309i | −0.255908 | − | 0.617818i | ||||
\(980\) | 0.520135 | + | 1.62836i | 0.0166151 | + | 0.0520161i | ||||
\(981\) | −1.01473 | + | 2.33149i | −0.0323977 | + | 0.0744389i | ||||
\(982\) | −16.1396 | + | 14.8450i | −0.515036 | + | 0.473722i | ||||
\(983\) | 25.3238 | − | 25.3238i | 0.807704 | − | 0.807704i | −0.176582 | − | 0.984286i | \(-0.556504\pi\) |
0.984286 | + | 0.176582i | \(0.0565041\pi\) | |||||||
\(984\) | −6.70824 | + | 49.6937i | −0.213851 | + | 1.58418i | ||||
\(985\) | 4.94960 | + | 4.94960i | 0.157707 | + | 0.157707i | ||||
\(986\) | 17.7735 | + | 0.742654i | 0.566023 | + | 0.0236509i | ||||
\(987\) | −19.8149 | − | 8.41498i | −0.630715 | − | 0.267852i | ||||
\(988\) | 1.11847 | − | 13.3605i | 0.0355833 | − | 0.425053i | ||||
\(989\) | 12.4564 | − | 5.15959i | 0.396089 | − | 0.164066i | ||||
\(990\) | −13.3909 | − | 6.50589i | −0.425590 | − | 0.206771i | ||||
\(991\) | − | 21.0760i | − | 0.669503i | −0.942307 | − | 0.334751i | \(-0.891348\pi\) | ||
0.942307 | − | 0.334751i | \(-0.108652\pi\) | |||||||
\(992\) | −41.7925 | − | 28.6839i | −1.32691 | − | 0.910715i | ||||
\(993\) | 1.73994 | + | 0.0154862i | 0.0552152 | + | 0.000491439i | ||||
\(994\) | 1.28838 | + | 0.597845i | 0.0408649 | + | 0.0189625i | ||||
\(995\) | 3.41900 | + | 8.25420i | 0.108390 | + | 0.261676i | ||||
\(996\) | −10.2346 | − | 0.948585i | −0.324294 | − | 0.0300571i | ||||
\(997\) | −12.8035 | − | 5.30339i | −0.405491 | − | 0.167960i | 0.170609 | − | 0.985339i | \(-0.445426\pi\) |
−0.576101 | + | 0.817379i | \(0.695426\pi\) | |||||||
\(998\) | −2.04166 | + | 48.8617i | −0.0646276 | + | 1.54669i | ||||
\(999\) | −9.66069 | + | 9.15810i | −0.305651 | + | 0.289749i |
(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 | 672.2.bs.a.155.6 | ✓ | 192 | |
3.2 | odd | 2 | inner | 672.2.bs.a.155.43 | yes | 192 | |
32.19 | odd | 8 | inner | 672.2.bs.a.659.43 | yes | 192 | |
96.83 | even | 8 | inner | 672.2.bs.a.659.6 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.bs.a.155.6 | ✓ | 192 | 1.1 | even | 1 | trivial | |
672.2.bs.a.155.43 | yes | 192 | 3.2 | odd | 2 | inner | |
672.2.bs.a.659.6 | yes | 192 | 96.83 | even | 8 | inner | |
672.2.bs.a.659.43 | yes | 192 | 32.19 | odd | 8 | inner |