Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(31,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.g (of order \(11\), degree \(10\), 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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 5 x^{19} + 12 x^{18} + 16 x^{17} - 49 x^{16} + 59 x^{15} - 197 x^{14} + 42 x^{13} + 1625 x^{12} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Root | \(-0.905632 + 1.98306i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 230.31 |
Dual form | 230.2.g.b.141.2 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | − | 0.989821i | 0.100632 | − | 0.699909i | ||||
\(3\) | 1.40549 | + | 3.07760i | 0.811461 | + | 1.77685i | 0.600998 | + | 0.799250i | \(0.294770\pi\) |
0.210463 | + | 0.977602i | \(0.432503\pi\) | |||||||
\(4\) | −0.959493 | − | 0.281733i | −0.479746 | − | 0.140866i | ||||
\(5\) | −0.654861 | − | 0.755750i | −0.292863 | − | 0.337981i | ||||
\(6\) | 3.24630 | − | 0.953198i | 1.32529 | − | 0.389142i | ||||
\(7\) | 2.97617 | + | 1.91267i | 1.12489 | + | 0.722922i | 0.964487 | − | 0.264130i | \(-0.0850849\pi\) |
0.160401 | + | 0.987052i | \(0.448721\pi\) | |||||||
\(8\) | −0.415415 | + | 0.909632i | −0.146871 | + | 0.321603i | ||||
\(9\) | −5.53162 | + | 6.38383i | −1.84387 | + | 2.12794i | ||||
\(10\) | −0.841254 | + | 0.540641i | −0.266028 | + | 0.170966i | ||||
\(11\) | −0.474502 | − | 3.30023i | −0.143068 | − | 0.995057i | −0.927228 | − | 0.374498i | \(-0.877815\pi\) |
0.784160 | − | 0.620559i | \(-0.213094\pi\) | |||||||
\(12\) | −0.481500 | − | 3.34891i | −0.138997 | − | 0.966746i | ||||
\(13\) | −2.04439 | + | 1.31385i | −0.567013 | + | 0.364397i | −0.792521 | − | 0.609844i | \(-0.791232\pi\) |
0.225509 | + | 0.974241i | \(0.427596\pi\) | |||||||
\(14\) | 2.31676 | − | 2.67368i | 0.619179 | − | 0.714571i | ||||
\(15\) | 1.40549 | − | 3.07760i | 0.362896 | − | 0.794632i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | 4.17723 | − | 1.22655i | 1.01313 | − | 0.297481i | 0.267295 | − | 0.963615i | \(-0.413870\pi\) |
0.745833 | + | 0.666133i | \(0.232052\pi\) | |||||||
\(18\) | 5.53162 | + | 6.38383i | 1.30382 | + | 1.50468i | ||||
\(19\) | −1.70877 | − | 0.501740i | −0.392019 | − | 0.115107i | 0.0797820 | − | 0.996812i | \(-0.474578\pi\) |
−0.471801 | + | 0.881705i | \(0.656396\pi\) | |||||||
\(20\) | 0.415415 | + | 0.909632i | 0.0928896 | + | 0.203400i | ||||
\(21\) | −1.70344 | + | 11.8477i | −0.371722 | + | 2.58538i | ||||
\(22\) | −3.33417 | −0.710847 | ||||||||
\(23\) | 4.72437 | − | 0.824821i | 0.985099 | − | 0.171987i | ||||
\(24\) | −3.38334 | −0.690622 | ||||||||
\(25\) | −0.142315 | + | 0.989821i | −0.0284630 | + | 0.197964i | ||||
\(26\) | 1.00953 | + | 2.21057i | 0.197985 | + | 0.433528i | ||||
\(27\) | −17.6826 | − | 5.19209i | −3.40302 | − | 0.999218i | ||||
\(28\) | −2.31676 | − | 2.67368i | −0.437826 | − | 0.505278i | ||||
\(29\) | 4.26170 | − | 1.25135i | 0.791378 | − | 0.232370i | 0.139029 | − | 0.990288i | \(-0.455602\pi\) |
0.652349 | + | 0.757919i | \(0.273784\pi\) | |||||||
\(30\) | −2.84625 | − | 1.82917i | −0.519652 | − | 0.333960i | ||||
\(31\) | 0.962566 | − | 2.10773i | 0.172882 | − | 0.378559i | −0.803280 | − | 0.595601i | \(-0.796914\pi\) |
0.976162 | + | 0.217043i | \(0.0696411\pi\) | |||||||
\(32\) | 0.654861 | − | 0.755750i | 0.115764 | − | 0.133599i | ||||
\(33\) | 9.48988 | − | 6.09877i | 1.65198 | − | 1.06166i | ||||
\(34\) | −0.619580 | − | 4.30927i | −0.106257 | − | 0.739034i | ||||
\(35\) | −0.503479 | − | 3.50177i | −0.0851035 | − | 0.591908i | ||||
\(36\) | 7.10608 | − | 4.56680i | 1.18435 | − | 0.761134i | ||||
\(37\) | 2.47799 | − | 2.85975i | 0.407379 | − | 0.470140i | −0.514572 | − | 0.857447i | \(-0.672049\pi\) |
0.921951 | + | 0.387307i | \(0.126595\pi\) | |||||||
\(38\) | −0.739816 | + | 1.61997i | −0.120014 | + | 0.262794i | ||||
\(39\) | −6.91689 | − | 4.44521i | −1.10759 | − | 0.711804i | ||||
\(40\) | 0.959493 | − | 0.281733i | 0.151709 | − | 0.0445458i | ||||
\(41\) | −5.45570 | − | 6.29621i | −0.852036 | − | 0.983303i | 0.147947 | − | 0.988995i | \(-0.452733\pi\) |
−0.999984 | + | 0.00569272i | \(0.998188\pi\) | |||||||
\(42\) | 11.4847 | + | 3.37221i | 1.77213 | + | 0.520343i | ||||
\(43\) | −1.86625 | − | 4.08651i | −0.284600 | − | 0.623187i | 0.712299 | − | 0.701876i | \(-0.247654\pi\) |
−0.996899 | + | 0.0786889i | \(0.974927\pi\) | |||||||
\(44\) | −0.474502 | + | 3.30023i | −0.0715338 | + | 0.497529i | ||||
\(45\) | 8.44702 | 1.25921 | ||||||||
\(46\) | −0.144077 | − | 4.79367i | −0.0212431 | − | 0.706788i | ||||
\(47\) | −6.54226 | −0.954286 | −0.477143 | − | 0.878826i | \(-0.658328\pi\) | ||||
−0.477143 | + | 0.878826i | \(0.658328\pi\) | |||||||
\(48\) | −0.481500 | + | 3.34891i | −0.0694986 | + | 0.483373i | ||||
\(49\) | 2.29140 | + | 5.01746i | 0.327342 | + | 0.716779i | ||||
\(50\) | 0.959493 | + | 0.281733i | 0.135693 | + | 0.0398430i | ||||
\(51\) | 9.64588 | + | 11.1319i | 1.35069 | + | 1.55878i | ||||
\(52\) | 2.33174 | − | 0.684660i | 0.323354 | − | 0.0949452i | ||||
\(53\) | −6.75825 | − | 4.34326i | −0.928317 | − | 0.596593i | −0.0132574 | − | 0.999912i | \(-0.504220\pi\) |
−0.915059 | + | 0.403319i | \(0.867856\pi\) | |||||||
\(54\) | −7.65574 | + | 16.7637i | −1.04181 | + | 2.28126i | ||||
\(55\) | −2.18342 | + | 2.51980i | −0.294412 | + | 0.339769i | ||||
\(56\) | −2.97617 | + | 1.91267i | −0.397708 | + | 0.255591i | ||||
\(57\) | −0.857508 | − | 5.96410i | −0.113580 | − | 0.789964i | ||||
\(58\) | −0.632108 | − | 4.39641i | −0.0829999 | − | 0.577277i | ||||
\(59\) | 11.7107 | − | 7.52602i | 1.52461 | − | 0.979805i | 0.533637 | − | 0.845713i | \(-0.320825\pi\) |
0.990969 | − | 0.134092i | \(-0.0428116\pi\) | |||||||
\(60\) | −2.21562 | + | 2.55696i | −0.286035 | + | 0.330102i | ||||
\(61\) | −4.41893 | + | 9.67611i | −0.565786 | + | 1.23890i | 0.383224 | + | 0.923655i | \(0.374814\pi\) |
−0.949011 | + | 0.315244i | \(0.897914\pi\) | |||||||
\(62\) | −1.94929 | − | 1.25273i | −0.247559 | − | 0.159097i | ||||
\(63\) | −28.6732 | + | 8.41922i | −3.61249 | + | 1.06072i | ||||
\(64\) | −0.654861 | − | 0.755750i | −0.0818576 | − | 0.0944687i | ||||
\(65\) | 2.33174 | + | 0.684660i | 0.289216 | + | 0.0849216i | ||||
\(66\) | −4.68615 | − | 10.2612i | −0.576825 | − | 1.26307i | ||||
\(67\) | 0.522775 | − | 3.63598i | 0.0638671 | − | 0.444205i | −0.932648 | − | 0.360788i | \(-0.882508\pi\) |
0.996515 | − | 0.0834168i | \(-0.0265833\pi\) | |||||||
\(68\) | −4.35358 | −0.527950 | ||||||||
\(69\) | 9.17853 | + | 13.3804i | 1.10497 | + | 1.61081i | ||||
\(70\) | −3.53778 | −0.422846 | ||||||||
\(71\) | −1.28444 | + | 8.93348i | −0.152435 | + | 1.06021i | 0.759687 | + | 0.650289i | \(0.225352\pi\) |
−0.912122 | + | 0.409920i | \(0.865557\pi\) | |||||||
\(72\) | −3.50902 | − | 7.68368i | −0.413542 | − | 0.905530i | ||||
\(73\) | −2.35015 | − | 0.690068i | −0.275065 | − | 0.0807663i | 0.141291 | − | 0.989968i | \(-0.454875\pi\) |
−0.416356 | + | 0.909202i | \(0.636693\pi\) | |||||||
\(74\) | −2.47799 | − | 2.85975i | −0.288060 | − | 0.332439i | ||||
\(75\) | −3.24630 | + | 0.953198i | −0.374850 | + | 0.110066i | ||||
\(76\) | 1.49820 | + | 0.962832i | 0.171855 | + | 0.110444i | ||||
\(77\) | 4.90006 | − | 10.7296i | 0.558413 | − | 1.22275i | ||||
\(78\) | −5.38434 | + | 6.21386i | −0.609657 | + | 0.703582i | ||||
\(79\) | −1.93484 | + | 1.24344i | −0.217686 | + | 0.139898i | −0.644940 | − | 0.764234i | \(-0.723117\pi\) |
0.427254 | + | 0.904132i | \(0.359481\pi\) | |||||||
\(80\) | −0.142315 | − | 0.989821i | −0.0159113 | − | 0.110665i | ||||
\(81\) | −5.26722 | − | 36.6343i | −0.585247 | − | 4.07048i | ||||
\(82\) | −7.00855 | + | 4.50412i | −0.773965 | + | 0.497397i | ||||
\(83\) | 0.921369 | − | 1.06332i | 0.101133 | − | 0.116714i | −0.702926 | − | 0.711263i | \(-0.748124\pi\) |
0.804060 | + | 0.594548i | \(0.202669\pi\) | |||||||
\(84\) | 4.97233 | − | 10.8879i | 0.542525 | − | 1.18796i | ||||
\(85\) | −3.66247 | − | 2.35373i | −0.397250 | − | 0.255297i | ||||
\(86\) | −4.31051 | + | 1.26568i | −0.464814 | + | 0.136482i | ||||
\(87\) | 9.84093 | + | 11.3570i | 1.05506 | + | 1.21760i | ||||
\(88\) | 3.19911 | + | 0.939344i | 0.341026 | + | 0.100134i | ||||
\(89\) | 6.81581 | + | 14.9245i | 0.722474 | + | 1.58200i | 0.810405 | + | 0.585871i | \(0.199247\pi\) |
−0.0879306 | + | 0.996127i | \(0.528025\pi\) | |||||||
\(90\) | 1.20214 | − | 8.36104i | 0.126716 | − | 0.881331i | ||||
\(91\) | −8.59744 | −0.901256 | ||||||||
\(92\) | −4.76538 | − | 0.539599i | −0.496825 | − | 0.0562571i | ||||
\(93\) | 7.83961 | 0.812930 | ||||||||
\(94\) | −0.931060 | + | 6.47567i | −0.0960315 | + | 0.667914i | ||||
\(95\) | 0.739816 | + | 1.61997i | 0.0759035 | + | 0.166206i | ||||
\(96\) | 3.24630 | + | 0.953198i | 0.331324 | + | 0.0972854i | ||||
\(97\) | 7.51574 | + | 8.67363i | 0.763108 | + | 0.880673i | 0.995770 | − | 0.0918844i | \(-0.0292890\pi\) |
−0.232662 | + | 0.972558i | \(0.574744\pi\) | |||||||
\(98\) | 5.29248 | − | 1.55401i | 0.534622 | − | 0.156979i | ||||
\(99\) | 23.6929 | + | 15.2265i | 2.38122 | + | 1.53032i | ||||
\(100\) | 0.415415 | − | 0.909632i | 0.0415415 | − | 0.0909632i | ||||
\(101\) | −4.98657 | + | 5.75481i | −0.496182 | + | 0.572625i | −0.947507 | − | 0.319735i | \(-0.896406\pi\) |
0.451325 | + | 0.892360i | \(0.350952\pi\) | |||||||
\(102\) | 12.3914 | − | 7.96346i | 1.22693 | − | 0.788500i | ||||
\(103\) | 1.45754 | + | 10.1374i | 0.143616 | + | 0.998869i | 0.926391 | + | 0.376564i | \(0.122894\pi\) |
−0.782775 | + | 0.622305i | \(0.786196\pi\) | |||||||
\(104\) | −0.345850 | − | 2.40544i | −0.0339134 | − | 0.235873i | ||||
\(105\) | 10.0694 | − | 6.47122i | 0.982675 | − | 0.631527i | ||||
\(106\) | −5.26085 | + | 6.07135i | −0.510979 | + | 0.589701i | ||||
\(107\) | −0.662403 | + | 1.45046i | −0.0640369 | + | 0.140221i | −0.938944 | − | 0.344069i | \(-0.888195\pi\) |
0.874908 | + | 0.484290i | \(0.160922\pi\) | |||||||
\(108\) | 15.5036 | + | 9.96354i | 1.49183 | + | 0.958742i | ||||
\(109\) | −5.70566 | + | 1.67533i | −0.546503 | + | 0.160468i | −0.543318 | − | 0.839527i | \(-0.682832\pi\) |
−0.00318548 | + | 0.999995i | \(0.501014\pi\) | |||||||
\(110\) | 2.18342 | + | 2.51980i | 0.208181 | + | 0.240253i | ||||
\(111\) | 12.2840 | + | 3.60689i | 1.16594 | + | 0.342351i | ||||
\(112\) | 1.46965 | + | 3.21808i | 0.138869 | + | 0.304080i | ||||
\(113\) | 1.03394 | − | 7.19123i | 0.0972651 | − | 0.676494i | −0.881602 | − | 0.471994i | \(-0.843534\pi\) |
0.978867 | − | 0.204499i | \(-0.0655566\pi\) | |||||||
\(114\) | −6.02543 | −0.564333 | ||||||||
\(115\) | −3.71716 | − | 3.03030i | −0.346627 | − | 0.282577i | ||||
\(116\) | −4.44162 | −0.412394 | ||||||||
\(117\) | 2.92140 | − | 20.3188i | 0.270084 | − | 1.87847i | ||||
\(118\) | −5.78281 | − | 12.6626i | −0.532351 | − | 1.16569i | ||||
\(119\) | 14.7782 | + | 4.33926i | 1.35471 | + | 0.397779i | ||||
\(120\) | 2.21562 | + | 2.55696i | 0.202257 | + | 0.233418i | ||||
\(121\) | −0.111955 | + | 0.0328728i | −0.0101777 | + | 0.00298844i | ||||
\(122\) | 8.94874 | + | 5.75101i | 0.810181 | + | 0.520672i | ||||
\(123\) | 11.7093 | − | 25.6397i | 1.05579 | − | 2.31185i | ||||
\(124\) | −1.51739 | + | 1.75116i | −0.136266 | + | 0.157259i | ||||
\(125\) | 0.841254 | − | 0.540641i | 0.0752440 | − | 0.0483564i | ||||
\(126\) | 4.25290 | + | 29.5796i | 0.378878 | + | 2.63516i | ||||
\(127\) | −0.907193 | − | 6.30967i | −0.0805004 | − | 0.559892i | −0.989659 | − | 0.143442i | \(-0.954183\pi\) |
0.909158 | − | 0.416450i | \(-0.136726\pi\) | |||||||
\(128\) | −0.841254 | + | 0.540641i | −0.0743570 | + | 0.0477863i | ||||
\(129\) | 9.95364 | − | 11.4871i | 0.876369 | − | 1.01138i | ||||
\(130\) | 1.00953 | − | 2.21057i | 0.0885418 | − | 0.193879i | ||||
\(131\) | −8.42656 | − | 5.41542i | −0.736232 | − | 0.473147i | 0.118017 | − | 0.993012i | \(-0.462346\pi\) |
−0.854249 | + | 0.519864i | \(0.825983\pi\) | |||||||
\(132\) | −10.8237 | + | 3.17812i | −0.942082 | + | 0.276620i | ||||
\(133\) | −4.12593 | − | 4.76158i | −0.357764 | − | 0.412881i | ||||
\(134\) | −3.52457 | − | 1.03491i | −0.304476 | − | 0.0894023i | ||||
\(135\) | 7.65574 | + | 16.7637i | 0.658901 | + | 1.44279i | ||||
\(136\) | −0.619580 | + | 4.30927i | −0.0531285 | + | 0.369517i | ||||
\(137\) | 7.61920 | 0.650952 | 0.325476 | − | 0.945550i | \(-0.394475\pi\) | ||||
0.325476 | + | 0.945550i | \(0.394475\pi\) | |||||||
\(138\) | 14.5505 | − | 7.18087i | 1.23862 | − | 0.611276i | ||||
\(139\) | −15.1421 | −1.28434 | −0.642170 | − | 0.766563i | \(-0.721966\pi\) | ||||
−0.642170 | + | 0.766563i | \(0.721966\pi\) | |||||||
\(140\) | −0.503479 | + | 3.50177i | −0.0425518 | + | 0.295954i | ||||
\(141\) | −9.19509 | − | 20.1344i | −0.774366 | − | 1.69563i | ||||
\(142\) | 8.65976 | + | 2.54273i | 0.726711 | + | 0.213382i | ||||
\(143\) | 5.30608 | + | 6.12355i | 0.443717 | + | 0.512077i | ||||
\(144\) | −8.10485 | + | 2.37980i | −0.675405 | + | 0.198317i | ||||
\(145\) | −3.73653 | − | 2.40132i | −0.310302 | − | 0.199419i | ||||
\(146\) | −1.01751 | + | 2.22803i | −0.0842094 | + | 0.184393i | ||||
\(147\) | −12.2212 | + | 14.1040i | −1.00799 | + | 1.16328i | ||||
\(148\) | −3.18330 | + | 2.04578i | −0.261665 | + | 0.168162i | ||||
\(149\) | −0.638482 | − | 4.44074i | −0.0523065 | − | 0.363800i | −0.999117 | − | 0.0420088i | \(-0.986624\pi\) |
0.946811 | − | 0.321791i | \(-0.104285\pi\) | |||||||
\(150\) | 0.481500 | + | 3.34891i | 0.0393143 | + | 0.273437i | ||||
\(151\) | −7.89187 | + | 5.07180i | −0.642231 | + | 0.412737i | −0.820820 | − | 0.571187i | \(-0.806483\pi\) |
0.178589 | + | 0.983924i | \(0.442847\pi\) | |||||||
\(152\) | 1.16625 | − | 1.34592i | 0.0945951 | − | 0.109169i | ||||
\(153\) | −15.2768 | + | 33.4515i | −1.23506 | + | 2.70440i | ||||
\(154\) | −9.92306 | − | 6.37717i | −0.799623 | − | 0.513887i | ||||
\(155\) | −2.22326 | + | 0.652808i | −0.178577 | + | 0.0524348i | ||||
\(156\) | 5.38434 | + | 6.21386i | 0.431093 | + | 0.497507i | ||||
\(157\) | −2.71487 | − | 0.797157i | −0.216670 | − | 0.0636200i | 0.171596 | − | 0.985167i | \(-0.445108\pi\) |
−0.388266 | + | 0.921547i | \(0.626926\pi\) | |||||||
\(158\) | 0.955431 | + | 2.09210i | 0.0760100 | + | 0.166439i | ||||
\(159\) | 3.86815 | − | 26.9036i | 0.306764 | − | 2.13359i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 15.6382 | + | 6.58135i | 1.23246 | + | 0.518683i | ||||
\(162\) | −37.0111 | −2.90786 | ||||||||
\(163\) | −1.01255 | + | 7.04242i | −0.0793088 | + | 0.551605i | 0.910966 | + | 0.412481i | \(0.135338\pi\) |
−0.990275 | + | 0.139124i | \(0.955571\pi\) | |||||||
\(164\) | 3.46085 | + | 7.57821i | 0.270247 | + | 0.591759i | ||||
\(165\) | −10.8237 | − | 3.17812i | −0.842624 | − | 0.247417i | ||||
\(166\) | −0.921369 | − | 1.06332i | −0.0715121 | − | 0.0825294i | ||||
\(167\) | −3.82944 | + | 1.12442i | −0.296331 | + | 0.0870106i | −0.426519 | − | 0.904479i | \(-0.640260\pi\) |
0.130188 | + | 0.991489i | \(0.458442\pi\) | |||||||
\(168\) | −10.0694 | − | 6.47122i | −0.776873 | − | 0.499266i | ||||
\(169\) | −2.94706 | + | 6.45315i | −0.226697 | + | 0.496396i | ||||
\(170\) | −2.85099 | + | 3.29022i | −0.218661 | + | 0.252348i | ||||
\(171\) | 12.6553 | − | 8.13306i | 0.967774 | − | 0.621951i | ||||
\(172\) | 0.639348 | + | 4.44676i | 0.0487498 | + | 0.339062i | ||||
\(173\) | 3.61524 | + | 25.1445i | 0.274861 | + | 1.91170i | 0.394519 | + | 0.918888i | \(0.370911\pi\) |
−0.119658 | + | 0.992815i | \(0.538180\pi\) | |||||||
\(174\) | 12.6420 | − | 8.12449i | 0.958384 | − | 0.615916i | ||||
\(175\) | −2.31676 | + | 2.67368i | −0.175130 | + | 0.202111i | ||||
\(176\) | 1.38506 | − | 3.03287i | 0.104403 | − | 0.228611i | ||||
\(177\) | 39.6214 | + | 25.4631i | 2.97813 | + | 1.91393i | ||||
\(178\) | 15.7426 | − | 4.62245i | 1.17996 | − | 0.346467i | ||||
\(179\) | −12.8875 | − | 14.8730i | −0.963257 | − | 1.11166i | −0.993695 | − | 0.112122i | \(-0.964235\pi\) |
0.0304372 | − | 0.999537i | \(-0.490310\pi\) | |||||||
\(180\) | −8.10485 | − | 2.37980i | −0.604100 | − | 0.177380i | ||||
\(181\) | 3.53497 | + | 7.74051i | 0.262752 | + | 0.575348i | 0.994321 | − | 0.106420i | \(-0.0339388\pi\) |
−0.731569 | + | 0.681768i | \(0.761212\pi\) | |||||||
\(182\) | −1.22354 | + | 8.50993i | −0.0906950 | + | 0.630798i | ||||
\(183\) | −35.9900 | −2.66045 | ||||||||
\(184\) | −1.21229 | + | 4.64008i | −0.0893713 | + | 0.342071i | ||||
\(185\) | −3.78399 | −0.278205 | ||||||||
\(186\) | 1.11569 | − | 7.75982i | 0.0818066 | − | 0.568977i | ||||
\(187\) | −6.02999 | − | 13.2038i | −0.440957 | − | 0.965560i | ||||
\(188\) | 6.27725 | + | 1.84317i | 0.457815 | + | 0.134427i | ||||
\(189\) | −42.6958 | − | 49.2736i | −3.10566 | − | 3.58413i | ||||
\(190\) | 1.70877 | − | 0.501740i | 0.123967 | − | 0.0364000i | ||||
\(191\) | −16.2244 | − | 10.4268i | −1.17396 | − | 0.754457i | −0.199692 | − | 0.979859i | \(-0.563994\pi\) |
−0.974266 | + | 0.225402i | \(0.927631\pi\) | |||||||
\(192\) | 1.40549 | − | 3.07760i | 0.101433 | − | 0.222107i | ||||
\(193\) | 9.11317 | − | 10.5172i | 0.655980 | − | 0.757041i | −0.326135 | − | 0.945323i | \(-0.605746\pi\) |
0.982115 | + | 0.188282i | \(0.0602918\pi\) | |||||||
\(194\) | 9.65494 | − | 6.20485i | 0.693184 | − | 0.445483i | ||||
\(195\) | 1.17013 | + | 8.13843i | 0.0837947 | + | 0.582805i | ||||
\(196\) | −0.784997 | − | 5.45977i | −0.0560712 | − | 0.389984i | ||||
\(197\) | 5.73032 | − | 3.68265i | 0.408269 | − | 0.262378i | −0.320348 | − | 0.947300i | \(-0.603800\pi\) |
0.728617 | + | 0.684922i | \(0.240164\pi\) | |||||||
\(198\) | 18.4434 | − | 21.2848i | 1.31071 | − | 1.51264i | ||||
\(199\) | −9.16447 | + | 20.0674i | −0.649652 | + | 1.42254i | 0.242206 | + | 0.970225i | \(0.422129\pi\) |
−0.891858 | + | 0.452315i | \(0.850598\pi\) | |||||||
\(200\) | −0.841254 | − | 0.540641i | −0.0594856 | − | 0.0382291i | ||||
\(201\) | 11.9248 | − | 3.50145i | 0.841113 | − | 0.246973i | ||||
\(202\) | 4.98657 | + | 5.75481i | 0.350854 | + | 0.404907i | ||||
\(203\) | 15.0770 | + | 4.42700i | 1.05820 | + | 0.310714i | ||||
\(204\) | −6.11893 | − | 13.3986i | −0.428411 | − | 0.938088i | ||||
\(205\) | −1.18564 | + | 8.24628i | −0.0828084 | + | 0.575945i | ||||
\(206\) | 10.2417 | 0.713570 | ||||||||
\(207\) | −20.8679 | + | 34.7222i | −1.45042 | + | 2.41336i | ||||
\(208\) | −2.43018 | −0.168502 | ||||||||
\(209\) | −0.845044 | + | 5.87741i | −0.0584529 | + | 0.406549i | ||||
\(210\) | −4.97233 | − | 10.8879i | −0.343123 | − | 0.751335i | ||||
\(211\) | −2.89011 | − | 0.848613i | −0.198963 | − | 0.0584209i | 0.180732 | − | 0.983532i | \(-0.442153\pi\) |
−0.379696 | + | 0.925111i | \(0.623971\pi\) | |||||||
\(212\) | 5.26085 | + | 6.07135i | 0.361317 | + | 0.416982i | ||||
\(213\) | −29.2989 | + | 8.60294i | −2.00753 | + | 0.589464i | ||||
\(214\) | 1.34143 | + | 0.862082i | 0.0916980 | + | 0.0589307i | ||||
\(215\) | −1.86625 | + | 4.08651i | −0.127277 | + | 0.278698i | ||||
\(216\) | 12.0685 | − | 13.9278i | 0.821159 | − | 0.947668i | ||||
\(217\) | 6.89615 | − | 4.43189i | 0.468141 | − | 0.300856i | ||||
\(218\) | 0.846281 | + | 5.88601i | 0.0573174 | + | 0.398651i | ||||
\(219\) | −1.17937 | − | 8.20272i | −0.0796946 | − | 0.554288i | ||||
\(220\) | 2.80488 | − | 1.80259i | 0.189105 | − | 0.121530i | ||||
\(221\) | −6.92841 | + | 7.99581i | −0.466055 | + | 0.537856i | ||||
\(222\) | 5.31837 | − | 11.6456i | 0.356946 | − | 0.781602i | ||||
\(223\) | −1.69953 | − | 1.09222i | −0.113809 | − | 0.0731407i | 0.482498 | − | 0.875897i | \(-0.339730\pi\) |
−0.596307 | + | 0.802756i | \(0.703366\pi\) | |||||||
\(224\) | 3.39448 | − | 0.996709i | 0.226803 | − | 0.0665954i | ||||
\(225\) | −5.53162 | − | 6.38383i | −0.368775 | − | 0.425589i | ||||
\(226\) | −6.97089 | − | 2.04684i | −0.463696 | − | 0.136154i | ||||
\(227\) | −5.14764 | − | 11.2718i | −0.341661 | − | 0.748132i | 0.658329 | − | 0.752730i | \(-0.271264\pi\) |
−0.999989 | + | 0.00459808i | \(0.998536\pi\) | |||||||
\(228\) | −0.857508 | + | 5.96410i | −0.0567898 | + | 0.394982i | ||||
\(229\) | 26.1155 | 1.72576 | 0.862880 | − | 0.505409i | \(-0.168658\pi\) | ||||
0.862880 | + | 0.505409i | \(0.168658\pi\) | |||||||
\(230\) | −3.52846 | + | 3.24807i | −0.232660 | + | 0.214171i | ||||
\(231\) | 39.9085 | 2.62578 | ||||||||
\(232\) | −0.632108 | + | 4.39641i | −0.0414999 | + | 0.288638i | ||||
\(233\) | 5.86662 | + | 12.8461i | 0.384335 | + | 0.841577i | 0.998621 | + | 0.0524933i | \(0.0167168\pi\) |
−0.614286 | + | 0.789083i | \(0.710556\pi\) | |||||||
\(234\) | −19.6962 | − | 5.78333i | −1.28758 | − | 0.378068i | ||||
\(235\) | 4.28427 | + | 4.94431i | 0.279475 | + | 0.322531i | ||||
\(236\) | −13.3567 | + | 3.92188i | −0.869446 | + | 0.255292i | ||||
\(237\) | −6.54621 | − | 4.20700i | −0.425222 | − | 0.273274i | ||||
\(238\) | 6.39824 | − | 14.0102i | 0.414736 | − | 0.908146i | ||||
\(239\) | −3.26621 | + | 3.76940i | −0.211273 | + | 0.243822i | −0.851489 | − | 0.524373i | \(-0.824300\pi\) |
0.640215 | + | 0.768196i | \(0.278845\pi\) | |||||||
\(240\) | 2.84625 | − | 1.82917i | 0.183725 | − | 0.118073i | ||||
\(241\) | 0.239778 | + | 1.66769i | 0.0154454 | + | 0.107425i | 0.996086 | − | 0.0883925i | \(-0.0281730\pi\) |
−0.980640 | + | 0.195818i | \(0.937264\pi\) | |||||||
\(242\) | 0.0166054 | + | 0.115493i | 0.00106744 | + | 0.00742419i | ||||
\(243\) | 58.8320 | − | 37.8090i | 3.77408 | − | 2.42545i | ||||
\(244\) | 6.96601 | − | 8.03920i | 0.445953 | − | 0.514657i | ||||
\(245\) | 2.29140 | − | 5.01746i | 0.146392 | − | 0.320553i | ||||
\(246\) | −23.7123 | − | 15.2390i | −1.51184 | − | 0.971603i | ||||
\(247\) | 4.15261 | − | 1.21932i | 0.264224 | − | 0.0775832i | ||||
\(248\) | 1.51739 | + | 1.75116i | 0.0963544 | + | 0.111199i | ||||
\(249\) | 4.56744 | + | 1.34112i | 0.289450 | + | 0.0849901i | ||||
\(250\) | −0.415415 | − | 0.909632i | −0.0262732 | − | 0.0575302i | ||||
\(251\) | 3.36584 | − | 23.4099i | 0.212450 | − | 1.47762i | −0.552490 | − | 0.833519i | \(-0.686322\pi\) |
0.764940 | − | 0.644102i | \(-0.222769\pi\) | |||||||
\(252\) | 29.8837 | 1.88250 | ||||||||
\(253\) | −4.96382 | − | 15.2001i | −0.312073 | − | 0.955624i | ||||
\(254\) | −6.37455 | −0.399975 | ||||||||
\(255\) | 2.09625 | − | 14.5797i | 0.131272 | − | 0.913019i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | −15.6685 | − | 4.60068i | −0.977372 | − | 0.286982i | −0.246233 | − | 0.969211i | \(-0.579193\pi\) |
−0.731139 | + | 0.682228i | \(0.761011\pi\) | |||||||
\(258\) | −9.95364 | − | 11.4871i | −0.619687 | − | 0.715157i | ||||
\(259\) | 12.8447 | − | 3.77154i | 0.798130 | − | 0.234352i | ||||
\(260\) | −2.04439 | − | 1.31385i | −0.126788 | − | 0.0814816i | ||||
\(261\) | −15.5857 | + | 34.1280i | −0.964732 | + | 2.11247i | ||||
\(262\) | −6.55952 | + | 7.57009i | −0.405249 | + | 0.467682i | ||||
\(263\) | 1.27661 | − | 0.820427i | 0.0787191 | − | 0.0505897i | −0.500689 | − | 0.865627i | \(-0.666920\pi\) |
0.579408 | + | 0.815037i | \(0.303284\pi\) | |||||||
\(264\) | 1.60540 | + | 11.1658i | 0.0988057 | + | 0.687209i | ||||
\(265\) | 1.14329 | + | 7.95177i | 0.0702319 | + | 0.488474i | ||||
\(266\) | −5.30029 | + | 3.40629i | −0.324982 | + | 0.208853i | ||||
\(267\) | −36.3522 | + | 41.9526i | −2.22472 | + | 2.56746i | ||||
\(268\) | −1.52597 | + | 3.34141i | −0.0932136 | + | 0.204109i | ||||
\(269\) | −17.3777 | − | 11.1680i | −1.05954 | − | 0.680924i | −0.109795 | − | 0.993954i | \(-0.535019\pi\) |
−0.949743 | + | 0.313031i | \(0.898656\pi\) | |||||||
\(270\) | 17.6826 | − | 5.19209i | 1.07613 | − | 0.315980i | ||||
\(271\) | 7.56829 | + | 8.73427i | 0.459741 | + | 0.530569i | 0.937530 | − | 0.347906i | \(-0.113107\pi\) |
−0.477789 | + | 0.878475i | \(0.658562\pi\) | |||||||
\(272\) | 4.17723 | + | 1.22655i | 0.253282 | + | 0.0743703i | ||||
\(273\) | −12.0836 | − | 26.4595i | −0.731334 | − | 1.60140i | ||||
\(274\) | 1.08433 | − | 7.54165i | 0.0655065 | − | 0.455608i | ||||
\(275\) | 3.33417 | 0.201058 | ||||||||
\(276\) | −5.03703 | − | 15.4243i | −0.303194 | − | 0.928435i | ||||
\(277\) | 1.27581 | 0.0766562 | 0.0383281 | − | 0.999265i | \(-0.487797\pi\) | ||||
0.0383281 | + | 0.999265i | \(0.487797\pi\) | |||||||
\(278\) | −2.15495 | + | 14.9880i | −0.129245 | + | 0.898921i | ||||
\(279\) | 8.13082 | + | 17.8040i | 0.486779 | + | 1.06590i | ||||
\(280\) | 3.39448 | + | 0.996709i | 0.202859 | + | 0.0595648i | ||||
\(281\) | −3.58023 | − | 4.13181i | −0.213579 | − | 0.246483i | 0.638844 | − | 0.769336i | \(-0.279413\pi\) |
−0.852423 | + | 0.522853i | \(0.824868\pi\) | |||||||
\(282\) | −21.2381 | + | 6.23607i | −1.26471 | + | 0.371352i | ||||
\(283\) | −0.279134 | − | 0.179389i | −0.0165928 | − | 0.0106635i | 0.532318 | − | 0.846544i | \(-0.321321\pi\) |
−0.548911 | + | 0.835881i | \(0.684957\pi\) | |||||||
\(284\) | 3.74926 | − | 8.20974i | 0.222478 | − | 0.487159i | ||||
\(285\) | −3.94582 | + | 4.55371i | −0.233730 | + | 0.269739i | ||||
\(286\) | 6.81635 | − | 4.38060i | 0.403059 | − | 0.259031i | ||||
\(287\) | −4.19452 | − | 29.1736i | −0.247595 | − | 1.72206i | ||||
\(288\) | 1.20214 | + | 8.36104i | 0.0708365 | + | 0.492679i | ||||
\(289\) | 1.64355 | − | 1.05625i | 0.0966796 | − | 0.0621322i | ||||
\(290\) | −2.90864 | + | 3.35675i | −0.170801 | + | 0.197115i | ||||
\(291\) | −16.1306 | + | 35.3211i | −0.945594 | + | 2.07056i | ||||
\(292\) | 2.06054 | + | 1.32423i | 0.120584 | + | 0.0774947i | ||||
\(293\) | 15.4125 | − | 4.52552i | 0.900409 | − | 0.264384i | 0.201410 | − | 0.979507i | \(-0.435448\pi\) |
0.698999 | + | 0.715123i | \(0.253629\pi\) | |||||||
\(294\) | 12.2212 | + | 14.1040i | 0.712753 | + | 0.822561i | ||||
\(295\) | −13.3567 | − | 3.92188i | −0.777656 | − | 0.228340i | ||||
\(296\) | 1.57193 | + | 3.44204i | 0.0913664 | + | 0.200065i | ||||
\(297\) | −8.74466 | + | 60.8204i | −0.507416 | + | 3.52916i | ||||
\(298\) | −4.48641 | −0.259891 | ||||||||
\(299\) | −8.57478 | + | 7.89338i | −0.495892 | + | 0.456486i | ||||
\(300\) | 3.38334 | 0.195337 | ||||||||
\(301\) | 2.26187 | − | 15.7317i | 0.130372 | − | 0.906759i | ||||
\(302\) | 3.89704 | + | 8.53333i | 0.224250 | + | 0.491038i | ||||
\(303\) | −24.7196 | − | 7.25832i | −1.42010 | − | 0.416980i | ||||
\(304\) | −1.16625 | − | 1.34592i | −0.0668889 | − | 0.0771939i | ||||
\(305\) | 10.2065 | − | 2.99690i | 0.584423 | − | 0.171602i | ||||
\(306\) | 30.9369 | + | 19.8820i | 1.76855 | + | 1.13658i | ||||
\(307\) | 13.5141 | − | 29.5917i | 0.771288 | − | 1.68888i | 0.0474912 | − | 0.998872i | \(-0.484877\pi\) |
0.723797 | − | 0.690013i | \(-0.242395\pi\) | |||||||
\(308\) | −7.72446 | + | 8.91450i | −0.440142 | + | 0.507951i | ||||
\(309\) | −29.1503 | + | 18.7338i | −1.65830 | + | 1.06573i | ||||
\(310\) | 0.329761 | + | 2.29353i | 0.0187291 | + | 0.130264i | ||||
\(311\) | 0.282669 | + | 1.96601i | 0.0160287 | + | 0.111482i | 0.996265 | − | 0.0863480i | \(-0.0275197\pi\) |
−0.980236 | + | 0.197830i | \(0.936611\pi\) | |||||||
\(312\) | 6.91689 | − | 4.44521i | 0.391592 | − | 0.251661i | ||||
\(313\) | 2.53433 | − | 2.92477i | 0.143249 | − | 0.165318i | −0.679591 | − | 0.733591i | \(-0.737843\pi\) |
0.822840 | + | 0.568273i | \(0.192388\pi\) | |||||||
\(314\) | −1.17541 | + | 2.57379i | −0.0663321 | + | 0.145247i | ||||
\(315\) | 25.1398 | + | 16.1564i | 1.41647 | + | 0.910308i | ||||
\(316\) | 2.20678 | − | 0.647969i | 0.124141 | − | 0.0364511i | ||||
\(317\) | 1.36805 | + | 1.57881i | 0.0768373 | + | 0.0886750i | 0.792867 | − | 0.609395i | \(-0.208588\pi\) |
−0.716029 | + | 0.698070i | \(0.754042\pi\) | |||||||
\(318\) | −26.0793 | − | 7.65756i | −1.46245 | − | 0.429415i | ||||
\(319\) | −6.15192 | − | 13.4708i | −0.344442 | − | 0.754222i | ||||
\(320\) | −0.142315 | + | 0.989821i | −0.00795564 | + | 0.0553327i | ||||
\(321\) | −5.39493 | −0.301116 | ||||||||
\(322\) | 8.73991 | − | 14.5424i | 0.487056 | − | 0.810414i | ||||
\(323\) | −7.75334 | −0.431407 | ||||||||
\(324\) | −5.26722 | + | 36.6343i | −0.292624 | + | 2.03524i | ||||
\(325\) | −1.00953 | − | 2.21057i | −0.0559987 | − | 0.122620i | ||||
\(326\) | 6.82664 | + | 2.00448i | 0.378093 | + | 0.111018i | ||||
\(327\) | −13.1753 | − | 15.2051i | −0.728594 | − | 0.840842i | ||||
\(328\) | 7.99361 | − | 2.34714i | 0.441373 | − | 0.129599i | ||||
\(329\) | −19.4709 | − | 12.5132i | −1.07346 | − | 0.689874i | ||||
\(330\) | −4.68615 | + | 10.2612i | −0.257964 | + | 0.564862i | ||||
\(331\) | −8.39176 | + | 9.68461i | −0.461253 | + | 0.532314i | −0.937958 | − | 0.346749i | \(-0.887286\pi\) |
0.476705 | + | 0.879063i | \(0.341831\pi\) | |||||||
\(332\) | −1.18362 | + | 0.760665i | −0.0649595 | + | 0.0417469i | ||||
\(333\) | 4.54887 | + | 31.6381i | 0.249277 | + | 1.73376i | ||||
\(334\) | 0.567993 | + | 3.95048i | 0.0310792 | + | 0.216161i | ||||
\(335\) | −3.09023 | + | 1.98597i | −0.168837 | + | 0.108505i | ||||
\(336\) | −7.83838 | + | 9.04598i | −0.427619 | + | 0.493498i | ||||
\(337\) | 4.78442 | − | 10.4764i | 0.260624 | − | 0.570687i | −0.733406 | − | 0.679791i | \(-0.762071\pi\) |
0.994030 | + | 0.109103i | \(0.0347980\pi\) | |||||||
\(338\) | 5.96806 | + | 3.83544i | 0.324620 | + | 0.208620i | ||||
\(339\) | 23.5849 | − | 6.92515i | 1.28096 | − | 0.376123i | ||||
\(340\) | 2.85099 | + | 3.29022i | 0.154617 | + | 0.178437i | ||||
\(341\) | −7.41272 | − | 2.17657i | −0.401422 | − | 0.117868i | ||||
\(342\) | −6.24924 | − | 13.6839i | −0.337920 | − | 0.739942i | ||||
\(343\) | 0.747204 | − | 5.19692i | 0.0403452 | − | 0.280607i | ||||
\(344\) | 4.49249 | 0.242219 | ||||||||
\(345\) | 4.10160 | − | 15.6990i | 0.220823 | − | 0.845205i | ||||
\(346\) | 25.4031 | 1.36568 | ||||||||
\(347\) | 0.612508 | − | 4.26009i | 0.0328812 | − | 0.228694i | −0.966754 | − | 0.255709i | \(-0.917691\pi\) |
0.999635 | + | 0.0270152i | \(0.00860026\pi\) | |||||||
\(348\) | −6.24266 | − | 13.6695i | −0.334642 | − | 0.732763i | ||||
\(349\) | 9.23442 | + | 2.71147i | 0.494307 | + | 0.145142i | 0.519379 | − | 0.854544i | \(-0.326163\pi\) |
−0.0250720 | + | 0.999686i | \(0.507982\pi\) | |||||||
\(350\) | 2.31676 | + | 2.67368i | 0.123836 | + | 0.142914i | ||||
\(351\) | 42.9719 | − | 12.6177i | 2.29367 | − | 0.673482i | ||||
\(352\) | −2.80488 | − | 1.80259i | −0.149501 | − | 0.0960782i | ||||
\(353\) | −12.0667 | + | 26.4224i | −0.642245 | + | 1.40632i | 0.255935 | + | 0.966694i | \(0.417617\pi\) |
−0.898181 | + | 0.439627i | \(0.855111\pi\) | |||||||
\(354\) | 30.8427 | − | 35.5943i | 1.63927 | − | 1.89182i | ||||
\(355\) | 7.59260 | − | 4.87947i | 0.402974 | − | 0.258975i | ||||
\(356\) | −2.33499 | − | 16.2402i | −0.123754 | − | 0.860730i | ||||
\(357\) | 7.41608 | + | 51.5800i | 0.392501 | + | 2.72990i | ||||
\(358\) | −16.5557 | + | 10.6397i | −0.874994 | + | 0.562325i | ||||
\(359\) | 16.2996 | − | 18.8108i | 0.860262 | − | 0.992796i | −0.139734 | − | 0.990189i | \(-0.544625\pi\) |
0.999997 | − | 0.00260652i | \(-0.000829684\pi\) | |||||||
\(360\) | −3.50902 | + | 7.68368i | −0.184941 | + | 0.404965i | ||||
\(361\) | −13.3157 | − | 8.55746i | −0.700825 | − | 0.450393i | ||||
\(362\) | 8.16480 | − | 2.39740i | 0.429132 | − | 0.126005i | ||||
\(363\) | −0.258521 | − | 0.298349i | −0.0135688 | − | 0.0156592i | ||||
\(364\) | 8.24918 | + | 2.42218i | 0.432375 | + | 0.126957i | ||||
\(365\) | 1.01751 | + | 2.22803i | 0.0532587 | + | 0.116620i | ||||
\(366\) | −5.12191 | + | 35.6236i | −0.267726 | + | 1.86208i | ||||
\(367\) | 32.1217 | 1.67674 | 0.838369 | − | 0.545104i | \(-0.183510\pi\) | ||||
0.838369 | + | 0.545104i | \(0.183510\pi\) | |||||||
\(368\) | 4.42032 | + | 1.86030i | 0.230425 | + | 0.0969750i | ||||
\(369\) | 70.3728 | 3.66346 | ||||||||
\(370\) | −0.538518 | + | 3.74548i | −0.0279962 | + | 0.194718i | ||||
\(371\) | −11.8065 | − | 25.8526i | −0.612962 | − | 1.34220i | ||||
\(372\) | −7.52205 | − | 2.20867i | −0.390000 | − | 0.114514i | ||||
\(373\) | −13.5420 | − | 15.6283i | −0.701180 | − | 0.809205i | 0.287731 | − | 0.957711i | \(-0.407099\pi\) |
−0.988912 | + | 0.148506i | \(0.952554\pi\) | |||||||
\(374\) | −13.9276 | + | 4.08951i | −0.720179 | + | 0.211464i | ||||
\(375\) | 2.84625 | + | 1.82917i | 0.146980 | + | 0.0944581i | ||||
\(376\) | 2.71775 | − | 5.95105i | 0.140157 | − | 0.306902i | ||||
\(377\) | −7.06851 | + | 8.15749i | −0.364047 | + | 0.420132i | ||||
\(378\) | −54.8483 | + | 35.2489i | −2.82109 | + | 1.81301i | ||||
\(379\) | 3.70937 | + | 25.7992i | 0.190537 | + | 1.32522i | 0.830590 | + | 0.556885i | \(0.188004\pi\) |
−0.640052 | + | 0.768331i | \(0.721087\pi\) | |||||||
\(380\) | −0.253450 | − | 1.76278i | −0.0130017 | − | 0.0904288i | ||||
\(381\) | 18.1436 | − | 11.6602i | 0.929523 | − | 0.597368i | ||||
\(382\) | −12.6297 | + | 14.5754i | −0.646189 | + | 0.745742i | ||||
\(383\) | 4.54089 | − | 9.94317i | 0.232029 | − | 0.508072i | −0.757425 | − | 0.652922i | \(-0.773543\pi\) |
0.989454 | + | 0.144850i | \(0.0462700\pi\) | |||||||
\(384\) | −2.84625 | − | 1.82917i | −0.145247 | − | 0.0933446i | ||||
\(385\) | −11.3178 | + | 3.32320i | −0.576807 | + | 0.169366i | ||||
\(386\) | −9.11317 | − | 10.5172i | −0.463848 | − | 0.535309i | ||||
\(387\) | 36.4110 | + | 10.6912i | 1.85087 | + | 0.543465i | ||||
\(388\) | −4.76766 | − | 10.4397i | −0.242041 | − | 0.529996i | ||||
\(389\) | −4.61944 | + | 32.1289i | −0.234215 | + | 1.62900i | 0.445330 | + | 0.895367i | \(0.353086\pi\) |
−0.679545 | + | 0.733634i | \(0.737823\pi\) | |||||||
\(390\) | 8.22212 | 0.416343 | ||||||||
\(391\) | 18.7231 | − | 9.24013i | 0.946869 | − | 0.467293i | ||||
\(392\) | −5.51592 | −0.278596 | ||||||||
\(393\) | 4.82303 | − | 33.5449i | 0.243290 | − | 1.69212i | ||||
\(394\) | −2.82966 | − | 6.19609i | −0.142556 | − | 0.312155i | ||||
\(395\) | 2.20678 | + | 0.647969i | 0.111035 | + | 0.0326029i | ||||
\(396\) | −18.4434 | − | 21.2848i | −0.926814 | − | 1.06960i | ||||
\(397\) | −13.2937 | + | 3.90337i | −0.667189 | + | 0.195904i | −0.597751 | − | 0.801682i | \(-0.703939\pi\) |
−0.0694383 | + | 0.997586i | \(0.522121\pi\) | |||||||
\(398\) | 18.5589 | + | 11.9271i | 0.930273 | + | 0.597850i | ||||
\(399\) | 8.85526 | − | 19.3903i | 0.443318 | − | 0.970730i | ||||
\(400\) | −0.654861 | + | 0.755750i | −0.0327430 | + | 0.0377875i | ||||
\(401\) | −13.9669 | + | 8.97599i | −0.697474 | + | 0.448239i | −0.840736 | − | 0.541445i | \(-0.817877\pi\) |
0.143262 | + | 0.989685i | \(0.454241\pi\) | |||||||
\(402\) | −1.76873 | − | 12.3018i | −0.0882160 | − | 0.613556i | ||||
\(403\) | 0.801376 | + | 5.57369i | 0.0399194 | + | 0.277645i | ||||
\(404\) | 6.40590 | − | 4.11682i | 0.318705 | − | 0.204819i | ||||
\(405\) | −24.2371 | + | 27.9711i | −1.20435 | + | 1.38989i | ||||
\(406\) | 6.52762 | − | 14.2935i | 0.323960 | − | 0.709374i | ||||
\(407\) | −10.6136 | − | 6.82098i | −0.526099 | − | 0.338103i | ||||
\(408\) | −14.1330 | + | 4.14983i | −0.699689 | + | 0.205447i | ||||
\(409\) | 19.9343 | + | 23.0055i | 0.985690 | + | 1.13755i | 0.990494 | + | 0.137558i | \(0.0439255\pi\) |
−0.00480359 | + | 0.999988i | \(0.501529\pi\) | |||||||
\(410\) | 7.99361 | + | 2.34714i | 0.394776 | + | 0.115917i | ||||
\(411\) | 10.7087 | + | 23.4488i | 0.528222 | + | 1.15665i | ||||
\(412\) | 1.45754 | − | 10.1374i | 0.0718078 | − | 0.499434i | ||||
\(413\) | 49.2480 | 2.42333 | ||||||||
\(414\) | 31.3989 | + | 25.5970i | 1.54317 | + | 1.25802i | ||||
\(415\) | −1.40697 | −0.0690654 | ||||||||
\(416\) | −0.345850 | + | 2.40544i | −0.0169567 | + | 0.117936i | ||||
\(417\) | −21.2822 | − | 46.6014i | −1.04219 | − | 2.28208i | ||||
\(418\) | 5.69733 | + | 1.67289i | 0.278665 | + | 0.0818235i | ||||
\(419\) | −12.8289 | − | 14.8054i | −0.626735 | − | 0.723291i | 0.350236 | − | 0.936661i | \(-0.386101\pi\) |
−0.976971 | + | 0.213371i | \(0.931556\pi\) | |||||||
\(420\) | −11.4847 | + | 3.37221i | −0.560396 | + | 0.164547i | ||||
\(421\) | 3.33622 | + | 2.14406i | 0.162597 | + | 0.104495i | 0.619409 | − | 0.785069i | \(-0.287372\pi\) |
−0.456812 | + | 0.889563i | \(0.651009\pi\) | |||||||
\(422\) | −1.25128 | + | 2.73992i | −0.0609114 | + | 0.133377i | ||||
\(423\) | 36.1893 | − | 41.7647i | 1.75958 | − | 2.03067i | ||||
\(424\) | 6.75825 | − | 4.34326i | 0.328210 | − | 0.210927i | ||||
\(425\) | 0.619580 | + | 4.30927i | 0.0300540 | + | 0.209030i | ||||
\(426\) | 4.34571 | + | 30.2250i | 0.210550 | + | 1.46441i | ||||
\(427\) | −31.6587 | + | 20.3458i | −1.53207 | + | 0.984604i | ||||
\(428\) | 1.04421 | − | 1.20509i | 0.0504739 | − | 0.0582500i | ||||
\(429\) | −11.3882 | + | 24.9366i | −0.549826 | + | 1.20395i | ||||
\(430\) | 3.77932 | + | 2.42882i | 0.182255 | + | 0.117128i | ||||
\(431\) | 4.81999 | − | 1.41528i | 0.232171 | − | 0.0681715i | −0.163578 | − | 0.986530i | \(-0.552303\pi\) |
0.395748 | + | 0.918359i | \(0.370485\pi\) | |||||||
\(432\) | −12.0685 | − | 13.9278i | −0.580647 | − | 0.670102i | ||||
\(433\) | −3.65110 | − | 1.07206i | −0.175461 | − | 0.0515199i | 0.192822 | − | 0.981234i | \(-0.438236\pi\) |
−0.368283 | + | 0.929714i | \(0.620054\pi\) | |||||||
\(434\) | −3.40535 | − | 7.45668i | −0.163462 | − | 0.357932i | ||||
\(435\) | 2.13864 | − | 14.8746i | 0.102540 | − | 0.713181i | ||||
\(436\) | 5.94654 | 0.284788 | ||||||||
\(437\) | −8.48670 | − | 0.960976i | −0.405974 | − | 0.0459697i | ||||
\(438\) | −8.28707 | −0.395971 | ||||||||
\(439\) | 3.35462 | − | 23.3319i | 0.160107 | − | 1.11357i | −0.738321 | − | 0.674449i | \(-0.764381\pi\) |
0.898428 | − | 0.439120i | \(-0.144710\pi\) | |||||||
\(440\) | −1.38506 | − | 3.03287i | −0.0660303 | − | 0.144586i | ||||
\(441\) | −44.7057 | − | 13.1268i | −2.12884 | − | 0.625085i | ||||
\(442\) | 6.92841 | + | 7.99581i | 0.329551 | + | 0.380322i | ||||
\(443\) | −2.67495 | + | 0.785437i | −0.127091 | + | 0.0373172i | −0.344659 | − | 0.938728i | \(-0.612006\pi\) |
0.217569 | + | 0.976045i | \(0.430187\pi\) | |||||||
\(444\) | −10.7702 | − | 6.92158i | −0.511131 | − | 0.328484i | ||||
\(445\) | 6.81581 | − | 14.9245i | 0.323100 | − | 0.707491i | ||||
\(446\) | −1.32298 | + | 1.52680i | −0.0626447 | + | 0.0722959i | ||||
\(447\) | 12.7694 | − | 8.20642i | 0.603974 | − | 0.388150i | ||||
\(448\) | −0.503479 | − | 3.50177i | −0.0237872 | − | 0.165443i | ||||
\(449\) | −2.77765 | − | 19.3190i | −0.131086 | − | 0.911720i | −0.944143 | − | 0.329536i | \(-0.893108\pi\) |
0.813057 | − | 0.582184i | \(-0.197802\pi\) | |||||||
\(450\) | −7.10608 | + | 4.56680i | −0.334984 | + | 0.215281i | ||||
\(451\) | −18.1902 | + | 20.9926i | −0.856543 | + | 0.988504i | ||||
\(452\) | −3.01806 | + | 6.60864i | −0.141958 | + | 0.310844i | ||||
\(453\) | −26.7009 | − | 17.1596i | −1.25452 | − | 0.806230i | ||||
\(454\) | −11.8896 | + | 3.49110i | −0.558007 | + | 0.163846i | ||||
\(455\) | 5.63012 | + | 6.49751i | 0.263944 | + | 0.304608i | ||||
\(456\) | 5.78135 | + | 1.69756i | 0.270737 | + | 0.0794955i | ||||
\(457\) | 1.32739 | + | 2.90658i | 0.0620927 | + | 0.135964i | 0.938134 | − | 0.346271i | \(-0.112552\pi\) |
−0.876042 | + | 0.482235i | \(0.839825\pi\) | |||||||
\(458\) | 3.71662 | − | 25.8497i | 0.173666 | − | 1.20788i | ||||
\(459\) | −80.2328 | −3.74495 | ||||||||
\(460\) | 2.71286 | + | 3.95479i | 0.126488 | + | 0.184393i | ||||
\(461\) | −13.2998 | −0.619436 | −0.309718 | − | 0.950829i | \(-0.600235\pi\) | ||||
−0.309718 | + | 0.950829i | \(0.600235\pi\) | |||||||
\(462\) | 5.67957 | − | 39.5023i | 0.264237 | − | 1.83781i | ||||
\(463\) | 8.20700 | + | 17.9708i | 0.381412 | + | 0.835175i | 0.998822 | + | 0.0485337i | \(0.0154548\pi\) |
−0.617410 | + | 0.786642i | \(0.711818\pi\) | |||||||
\(464\) | 4.26170 | + | 1.25135i | 0.197844 | + | 0.0580924i | ||||
\(465\) | −5.13386 | − | 5.92478i | −0.238077 | − | 0.274755i | ||||
\(466\) | 13.5503 | − | 3.97872i | 0.627704 | − | 0.184310i | ||||
\(467\) | −6.84846 | − | 4.40124i | −0.316909 | − | 0.203665i | 0.372509 | − | 0.928028i | \(-0.378497\pi\) |
−0.689418 | + | 0.724363i | \(0.742134\pi\) | |||||||
\(468\) | −8.52753 | + | 18.6727i | −0.394185 | + | 0.863145i | ||||
\(469\) | 8.51029 | − | 9.82140i | 0.392969 | − | 0.453510i | ||||
\(470\) | 5.50370 | − | 3.53701i | 0.253867 | − | 0.163150i | ||||
\(471\) | −1.36239 | − | 9.47566i | −0.0627758 | − | 0.436616i | ||||
\(472\) | 1.98110 | + | 13.7789i | 0.0911876 | + | 0.634224i | ||||
\(473\) | −12.6009 | + | 8.09810i | −0.579390 | + | 0.372351i | ||||
\(474\) | −5.09580 | + | 5.88087i | −0.234058 | + | 0.270117i | ||||
\(475\) | 0.739816 | − | 1.61997i | 0.0339451 | − | 0.0743294i | ||||
\(476\) | −12.9570 | − | 8.32697i | −0.593884 | − | 0.381666i | ||||
\(477\) | 65.1107 | − | 19.1182i | 2.98121 | − | 0.875364i | ||||
\(478\) | 3.26621 | + | 3.76940i | 0.149393 | + | 0.172409i | ||||
\(479\) | −5.28119 | − | 1.55070i | −0.241304 | − | 0.0708532i | 0.158844 | − | 0.987304i | \(-0.449223\pi\) |
−0.400148 | + | 0.916450i | \(0.631041\pi\) | |||||||
\(480\) | −1.40549 | − | 3.07760i | −0.0641516 | − | 0.140472i | ||||
\(481\) | −1.30869 | + | 9.10217i | −0.0596713 | + | 0.415023i | ||||
\(482\) | 1.68484 | 0.0767423 | ||||||||
\(483\) | 1.72454 | + | 57.3780i | 0.0784694 | + | 2.61079i | ||||
\(484\) | 0.116681 | 0.00530368 | ||||||||
\(485\) | 1.63333 | − | 11.3600i | 0.0741655 | − | 0.515833i | ||||
\(486\) | −29.0515 | − | 63.6140i | −1.31780 | − | 2.88559i | ||||
\(487\) | 28.7103 | + | 8.43010i | 1.30099 | + | 0.382004i | 0.857596 | − | 0.514324i | \(-0.171957\pi\) |
0.443391 | + | 0.896328i | \(0.353775\pi\) | |||||||
\(488\) | −6.96601 | − | 8.03920i | −0.315336 | − | 0.363918i | ||||
\(489\) | −23.0969 | + | 6.78185i | −1.04448 | + | 0.306686i | ||||
\(490\) | −4.64029 | − | 2.98213i | −0.209627 | − | 0.134719i | ||||
\(491\) | 12.2961 | − | 26.9247i | 0.554916 | − | 1.21510i | −0.399532 | − | 0.916719i | \(-0.630827\pi\) |
0.954448 | − | 0.298377i | \(-0.0964453\pi\) | |||||||
\(492\) | −18.4585 | + | 21.3022i | −0.832173 | + | 0.960379i | ||||
\(493\) | 16.2673 | − | 10.4543i | 0.732642 | − | 0.470840i | ||||
\(494\) | −0.615927 | − | 4.28387i | −0.0277119 | − | 0.192740i | ||||
\(495\) | −4.00812 | − | 27.8771i | −0.180152 | − | 1.25298i | ||||
\(496\) | 1.94929 | − | 1.25273i | 0.0875255 | − | 0.0562492i | ||||
\(497\) | −20.9095 | + | 24.1309i | −0.937920 | + | 1.08242i | ||||
\(498\) | 1.97748 | − | 4.33009i | 0.0886132 | − | 0.194036i | ||||
\(499\) | −17.1162 | − | 10.9999i | −0.766227 | − | 0.492424i | 0.0982098 | − | 0.995166i | \(-0.468688\pi\) |
−0.864437 | + | 0.502742i | \(0.832325\pi\) | |||||||
\(500\) | −0.959493 | + | 0.281733i | −0.0429098 | + | 0.0125995i | ||||
\(501\) | −8.84277 | − | 10.2051i | −0.395066 | − | 0.455930i | ||||
\(502\) | −22.6926 | − | 6.66316i | −1.01282 | − | 0.297391i | ||||
\(503\) | 2.90113 | + | 6.35260i | 0.129355 | + | 0.283248i | 0.963217 | − | 0.268725i | \(-0.0866023\pi\) |
−0.833862 | + | 0.551973i | \(0.813875\pi\) | |||||||
\(504\) | 4.25290 | − | 29.5796i | 0.189439 | − | 1.31758i | ||||
\(505\) | 7.61470 | 0.338850 | ||||||||
\(506\) | −15.7518 | + | 2.75009i | −0.700255 | + | 0.122257i | ||||
\(507\) | −24.0023 | −1.06598 | ||||||||
\(508\) | −0.907193 | + | 6.30967i | −0.0402502 | + | 0.279946i | ||||
\(509\) | 15.5440 | + | 34.0367i | 0.688978 | + | 1.50865i | 0.852843 | + | 0.522168i | \(0.174877\pi\) |
−0.163865 | + | 0.986483i | \(0.552396\pi\) | |||||||
\(510\) | −14.1330 | − | 4.14983i | −0.625821 | − | 0.183758i | ||||
\(511\) | −5.67460 | − | 6.54883i | −0.251029 | − | 0.289703i | ||||
\(512\) | 0.959493 | − | 0.281733i | 0.0424040 | − | 0.0124509i | ||||
\(513\) | 27.6105 | + | 17.7442i | 1.21903 | + | 0.783424i | ||||
\(514\) | −6.78371 | + | 14.8542i | −0.299216 | + | 0.655193i | ||||
\(515\) | 6.70686 | − | 7.74013i | 0.295539 | − | 0.341071i | ||||
\(516\) | −12.7867 | + | 8.21754i | −0.562905 | + | 0.361757i | ||||
\(517\) | 3.10431 | + | 21.5910i | 0.136527 | + | 0.949569i | ||||
\(518\) | −1.90516 | − | 13.2507i | −0.0837080 | − | 0.582202i | ||||
\(519\) | −72.3036 | + | 46.4667i | −3.17377 | + | 2.03966i | ||||
\(520\) | −1.59143 | + | 1.83660i | −0.0697887 | + | 0.0805404i | ||||
\(521\) | 2.54875 | − | 5.58099i | 0.111663 | − | 0.244507i | −0.845548 | − | 0.533900i | \(-0.820726\pi\) |
0.957211 | + | 0.289392i | \(0.0934532\pi\) | |||||||
\(522\) | 31.5625 | + | 20.2840i | 1.38145 | + | 0.887806i | ||||
\(523\) | 32.7567 | − | 9.61823i | 1.43235 | − | 0.420576i | 0.528686 | − | 0.848818i | \(-0.322685\pi\) |
0.903664 | + | 0.428242i | \(0.140867\pi\) | |||||||
\(524\) | 6.55952 | + | 7.57009i | 0.286554 | + | 0.330701i | ||||
\(525\) | −11.4847 | − | 3.37221i | −0.501233 | − | 0.147175i | ||||
\(526\) | −0.630396 | − | 1.38037i | −0.0274866 | − | 0.0601872i | ||||
\(527\) | 1.43564 | − | 9.98510i | 0.0625375 | − | 0.434958i | ||||
\(528\) | 11.2806 | 0.490927 | ||||||||
\(529\) | 21.6393 | − | 7.79352i | 0.940841 | − | 0.338849i | ||||
\(530\) | 8.03354 | 0.348955 | ||||||||
\(531\) | −16.7344 | + | 116.390i | −0.726212 | + | 5.05091i | ||||
\(532\) | 2.61731 | + | 5.73111i | 0.113475 | + | 0.248475i | ||||
\(533\) | 19.4259 | + | 5.70395i | 0.841428 | + | 0.247066i | ||||
\(534\) | 36.3522 | + | 41.9526i | 1.57311 | + | 1.81547i | ||||
\(535\) | 1.52997 | − | 0.449238i | 0.0661462 | − | 0.0194223i | ||||
\(536\) | 3.09023 | + | 1.98597i | 0.133478 | + | 0.0857809i | ||||
\(537\) | 27.6597 | − | 60.5664i | 1.19361 | − | 2.61363i | ||||
\(538\) | −13.5274 | + | 15.6115i | −0.583208 | + | 0.673058i | ||||
\(539\) | 15.4715 | − | 9.94293i | 0.666404 | − | 0.428272i | ||||
\(540\) | −2.62274 | − | 18.2416i | −0.112865 | − | 0.784992i | ||||
\(541\) | 0.736079 | + | 5.11954i | 0.0316465 | + | 0.220106i | 0.999508 | − | 0.0313794i | \(-0.00999000\pi\) |
−0.967861 | + | 0.251486i | \(0.919081\pi\) | |||||||
\(542\) | 9.72245 | − | 6.24824i | 0.417615 | − | 0.268385i | ||||
\(543\) | −18.8538 | + | 21.7584i | −0.809094 | + | 0.933744i | ||||
\(544\) | 1.80854 | − | 3.96016i | 0.0775407 | − | 0.169790i | ||||
\(545\) | 5.00255 | + | 3.21494i | 0.214286 | + | 0.137713i | ||||
\(546\) | −27.9098 | + | 8.19506i | −1.19443 | + | 0.350716i | ||||
\(547\) | 0.343860 | + | 0.396836i | 0.0147024 | + | 0.0169675i | 0.763053 | − | 0.646336i | \(-0.223699\pi\) |
−0.748351 | + | 0.663303i | \(0.769154\pi\) | |||||||
\(548\) | −7.31057 | − | 2.14658i | −0.312292 | − | 0.0916972i | ||||
\(549\) | −37.3268 | − | 81.7343i | −1.59307 | − | 3.48833i | ||||
\(550\) | 0.474502 | − | 3.30023i | 0.0202328 | − | 0.140722i | ||||
\(551\) | −7.91011 | −0.336982 | ||||||||
\(552\) | −15.9842 | + | 2.79065i | −0.680331 | + | 0.118778i | ||||
\(553\) | −8.13670 | −0.346008 | ||||||||
\(554\) | 0.181567 | − | 1.26283i | 0.00771405 | − | 0.0536524i | ||||
\(555\) | −5.31837 | − | 11.6456i | −0.225752 | − | 0.494329i | ||||
\(556\) | 14.5288 | + | 4.26603i | 0.616157 | + | 0.180920i | ||||
\(557\) | 5.14454 | + | 5.93712i | 0.217981 | + | 0.251564i | 0.854200 | − | 0.519945i | \(-0.174048\pi\) |
−0.636218 | + | 0.771509i | \(0.719502\pi\) | |||||||
\(558\) | 18.7799 | − | 5.51428i | 0.795017 | − | 0.233438i | ||||
\(559\) | 9.18441 | + | 5.90246i | 0.388459 | + | 0.249648i | ||||
\(560\) | 1.46965 | − | 3.21808i | 0.0621040 | − | 0.135989i | ||||
\(561\) | 32.1610 | − | 37.1158i | 1.35784 | − | 1.56703i | ||||
\(562\) | −4.59927 | + | 2.95577i | −0.194009 | + | 0.124682i | ||||
\(563\) | 1.28394 | + | 8.92997i | 0.0541114 | + | 0.376353i | 0.998825 | + | 0.0484572i | \(0.0154305\pi\) |
−0.944714 | + | 0.327896i | \(0.893660\pi\) | |||||||
\(564\) | 3.15010 | + | 21.9094i | 0.132643 | + | 0.922552i | ||||
\(565\) | −6.11185 | + | 3.92785i | −0.257128 | + | 0.165246i | ||||
\(566\) | −0.217288 | + | 0.250763i | −0.00913328 | + | 0.0105404i | ||||
\(567\) | 54.3933 | − | 119.105i | 2.28430 | − | 5.00192i | ||||
\(568\) | −7.59260 | − | 4.87947i | −0.318579 | − | 0.204738i | ||||
\(569\) | −34.9157 | + | 10.2522i | −1.46374 | + | 0.429793i | −0.914059 | − | 0.405581i | \(-0.867069\pi\) |
−0.549682 | + | 0.835374i | \(0.685251\pi\) | |||||||
\(570\) | 3.94582 | + | 4.55371i | 0.165272 | + | 0.190734i | ||||
\(571\) | 23.0743 | + | 6.77521i | 0.965628 | + | 0.283534i | 0.726279 | − | 0.687400i | \(-0.241248\pi\) |
0.239348 | + | 0.970934i | \(0.423066\pi\) | |||||||
\(572\) | −3.36595 | − | 7.37040i | −0.140737 | − | 0.308172i | ||||
\(573\) | 9.28622 | − | 64.5870i | 0.387937 | − | 2.69816i | ||||
\(574\) | −29.4736 | −1.23020 | ||||||||
\(575\) | 0.144077 | + | 4.79367i | 0.00600845 | + | 0.199910i | ||||
\(576\) | 8.44702 | 0.351959 | ||||||||
\(577\) | 1.51041 | − | 10.5051i | 0.0628791 | − | 0.437333i | −0.933926 | − | 0.357465i | \(-0.883641\pi\) |
0.996805 | − | 0.0798681i | \(-0.0254499\pi\) | |||||||
\(578\) | −0.811594 | − | 1.77714i | −0.0337579 | − | 0.0739194i | ||||
\(579\) | 45.1761 | + | 13.2649i | 1.87745 | + | 0.551270i | ||||
\(580\) | 2.90864 | + | 3.35675i | 0.120775 | + | 0.139381i | ||||
\(581\) | 4.77593 | − | 1.40234i | 0.198139 | − | 0.0581788i | ||||
\(582\) | 32.6660 | + | 20.9932i | 1.35405 | + | 0.870194i | ||||
\(583\) | −11.1270 | + | 24.3647i | −0.460832 | + | 1.00908i | ||||
\(584\) | 1.60400 | − | 1.85111i | 0.0663739 | − | 0.0765995i | ||||
\(585\) | −17.2690 | + | 11.0981i | −0.713987 | + | 0.458851i | ||||
\(586\) | −2.28603 | − | 15.8997i | −0.0944350 | − | 0.656810i | ||||
\(587\) | −4.57225 | − | 31.8007i | −0.188717 | − | 1.31256i | −0.835335 | − | 0.549742i | \(-0.814726\pi\) |
0.646617 | − | 0.762814i | \(-0.276183\pi\) | |||||||
\(588\) | 15.6997 | − | 10.0896i | 0.647444 | − | 0.416087i | ||||
\(589\) | −2.70233 | + | 3.11866i | −0.111348 | + | 0.128502i | ||||
\(590\) | −5.78281 | + | 12.6626i | −0.238075 | + | 0.521311i | ||||
\(591\) | 19.3877 | + | 12.4597i | 0.797501 | + | 0.512523i | ||||
\(592\) | 3.63071 | − | 1.06607i | 0.149221 | − | 0.0438154i | ||||
\(593\) | −15.2607 | − | 17.6118i | −0.626682 | − | 0.723229i | 0.350280 | − | 0.936645i | \(-0.386086\pi\) |
−0.976961 | + | 0.213416i | \(0.931541\pi\) | |||||||
\(594\) | 58.9569 | + | 17.3113i | 2.41903 | + | 0.710291i | ||||
\(595\) | −6.39824 | − | 14.0102i | −0.262302 | − | 0.574362i | ||||
\(596\) | −0.638482 | + | 4.44074i | −0.0261533 | + | 0.181900i | ||||
\(597\) | −74.6399 | −3.05481 | ||||||||
\(598\) | 6.59272 | + | 9.61085i | 0.269596 | + | 0.393017i | ||||
\(599\) | 9.23034 | 0.377141 | 0.188571 | − | 0.982060i | \(-0.439615\pi\) | ||||
0.188571 | + | 0.982060i | \(0.439615\pi\) | |||||||
\(600\) | 0.481500 | − | 3.34891i | 0.0196572 | − | 0.136719i | ||||
\(601\) | 16.2641 | + | 35.6133i | 0.663425 | + | 1.45270i | 0.879296 | + | 0.476276i | \(0.158014\pi\) |
−0.215871 | + | 0.976422i | \(0.569259\pi\) | |||||||
\(602\) | −15.2497 | − | 4.47770i | −0.621530 | − | 0.182498i | ||||
\(603\) | 20.3197 | + | 23.4501i | 0.827481 | + | 0.954964i | ||||
\(604\) | 9.00108 | − | 2.64296i | 0.366249 | − | 0.107540i | ||||
\(605\) | 0.0981583 | + | 0.0630825i | 0.00399070 | + | 0.00256467i | ||||
\(606\) | −10.7024 | + | 23.4350i | −0.434756 | + | 0.951982i | ||||
\(607\) | 0.419175 | − | 0.483753i | 0.0170138 | − | 0.0196349i | −0.747179 | − | 0.664623i | \(-0.768592\pi\) |
0.764193 | + | 0.644988i | \(0.223138\pi\) | |||||||
\(608\) | −1.49820 | + | 0.962832i | −0.0607599 | + | 0.0390480i | ||||
\(609\) | 7.56604 | + | 52.6230i | 0.306592 | + | 2.13239i | ||||
\(610\) | −1.51386 | − | 10.5291i | −0.0612943 | − | 0.426312i | ||||
\(611\) | 13.3749 | − | 8.59556i | 0.541092 | − | 0.347739i | ||||
\(612\) | 24.0824 | − | 27.7925i | 0.973472 | − | 1.12345i | ||||
\(613\) | −1.91972 | + | 4.20361i | −0.0775369 | + | 0.169782i | −0.944431 | − | 0.328711i | \(-0.893386\pi\) |
0.866894 | + | 0.498493i | \(0.166113\pi\) | |||||||
\(614\) | −27.3672 | − | 17.5878i | −1.10445 | − | 0.709787i | ||||
\(615\) | −27.0451 | + | 7.94117i | −1.09057 | + | 0.320219i | ||||
\(616\) | 7.72446 | + | 8.91450i | 0.311227 | + | 0.359175i | ||||
\(617\) | 23.3444 | + | 6.85452i | 0.939809 | + | 0.275953i | 0.715538 | − | 0.698574i | \(-0.246182\pi\) |
0.224271 | + | 0.974527i | \(0.428000\pi\) | |||||||
\(618\) | 14.3946 | + | 31.5197i | 0.579034 | + | 1.26791i | ||||
\(619\) | −5.29251 | + | 36.8102i | −0.212724 | + | 1.47953i | 0.551283 | + | 0.834318i | \(0.314138\pi\) |
−0.764007 | + | 0.645208i | \(0.776771\pi\) | |||||||
\(620\) | 2.31712 | 0.0930578 | ||||||||
\(621\) | −87.8218 | − | 9.94434i | −3.52417 | − | 0.399053i | ||||
\(622\) | 1.98622 | 0.0796404 | ||||||||
\(623\) | −8.26069 | + | 57.4544i | −0.330958 | + | 2.30186i | ||||
\(624\) | −3.41559 | − | 7.47910i | −0.136733 | − | 0.299404i | ||||
\(625\) | −0.959493 | − | 0.281733i | −0.0383797 | − | 0.0112693i | ||||
\(626\) | −2.53433 | − | 2.92477i | −0.101292 | − | 0.116897i | ||||
\(627\) | −19.2760 | + | 5.65995i | −0.769810 | + | 0.226037i | ||||
\(628\) | 2.38031 | + | 1.52973i | 0.0949847 | + | 0.0610430i | ||||
\(629\) | 6.84352 | − | 14.9852i | 0.272869 | − | 0.597500i | ||||
\(630\) | 19.5697 | − | 22.5846i | 0.779675 | − | 0.899793i | ||||
\(631\) | 30.7487 | − | 19.7610i | 1.22409 | − | 0.786672i | 0.241126 | − | 0.970494i | \(-0.422483\pi\) |
0.982960 | + | 0.183822i | \(0.0588470\pi\) | |||||||
\(632\) | −0.327316 | − | 2.27653i | −0.0130199 | − | 0.0905556i | ||||
\(633\) | −1.45034 | − | 10.0873i | −0.0576457 | − | 0.400935i | ||||
\(634\) | 1.75744 | − | 1.12944i | 0.0697967 | − | 0.0448556i | ||||
\(635\) | −4.17444 | + | 4.81756i | −0.165658 | + | 0.191179i | ||||
\(636\) | −11.2911 | + | 24.7240i | −0.447721 | + | 0.980371i | ||||
\(637\) | −11.2767 | − | 7.24710i | −0.446799 | − | 0.287141i | ||||
\(638\) | −14.2092 | + | 4.17221i | −0.562549 | + | 0.165179i | ||||
\(639\) | −49.9248 | − | 57.6163i | −1.97499 | − | 2.27926i | ||||
\(640\) | 0.959493 | + | 0.281733i | 0.0379273 | + | 0.0111365i | ||||
\(641\) | 4.62164 | + | 10.1200i | 0.182544 | + | 0.399715i | 0.978677 | − | 0.205407i | \(-0.0658517\pi\) |
−0.796133 | + | 0.605122i | \(0.793124\pi\) | |||||||
\(642\) | −0.767779 | + | 5.34002i | −0.0303018 | + | 0.210754i | ||||
\(643\) | −9.80294 | −0.386590 | −0.193295 | − | 0.981141i | \(-0.561917\pi\) | ||||
−0.193295 | + | 0.981141i | \(0.561917\pi\) | |||||||
\(644\) | −13.1505 | − | 10.7205i | −0.518203 | − | 0.422448i | ||||
\(645\) | −15.1996 | −0.598485 | ||||||||
\(646\) | −1.10341 | + | 7.67442i | −0.0434133 | + | 0.301946i | ||||
\(647\) | 10.5963 | + | 23.2027i | 0.416584 | + | 0.912191i | 0.995316 | + | 0.0966734i | \(0.0308202\pi\) |
−0.578733 | + | 0.815517i | \(0.696452\pi\) | |||||||
\(648\) | 35.5119 | + | 10.4272i | 1.39504 | + | 0.409620i | ||||
\(649\) | −30.3944 | − | 35.0770i | −1.19308 | − | 1.37689i | ||||
\(650\) | −2.33174 | + | 0.684660i | −0.0914582 | + | 0.0268546i | ||||
\(651\) | 23.3321 | + | 14.9946i | 0.914455 | + | 0.587685i | ||||
\(652\) | 2.95561 | − | 6.47189i | 0.115751 | − | 0.253459i | ||||
\(653\) | −27.8364 | + | 32.1249i | −1.08932 | + | 1.25715i | −0.125074 | + | 0.992147i | \(0.539917\pi\) |
−0.964249 | + | 0.264999i | \(0.914629\pi\) | |||||||
\(654\) | −16.9253 | + | 10.8773i | −0.661833 | + | 0.425334i | ||||
\(655\) | 1.42552 | + | 9.91471i | 0.0556997 | + | 0.387400i | ||||
\(656\) | −1.18564 | − | 8.24628i | −0.0462913 | − | 0.321963i | ||||
\(657\) | 17.4054 | − | 11.1858i | 0.679051 | − | 0.436399i | ||||
\(658\) | −15.1568 | + | 17.4919i | −0.590874 | + | 0.681905i | ||||
\(659\) | −13.8736 | + | 30.3789i | −0.540437 | + | 1.18339i | 0.420669 | + | 0.907214i | \(0.361795\pi\) |
−0.961106 | + | 0.276179i | \(0.910932\pi\) | |||||||
\(660\) | 9.48988 | + | 6.09877i | 0.369393 | + | 0.237394i | ||||
\(661\) | 28.1443 | − | 8.26392i | 1.09469 | − | 0.321429i | 0.315947 | − | 0.948777i | \(-0.397678\pi\) |
0.778739 | + | 0.627348i | \(0.215859\pi\) | |||||||
\(662\) | 8.39176 | + | 9.68461i | 0.326155 | + | 0.376403i | ||||
\(663\) | −34.3457 | − | 10.0848i | −1.33388 | − | 0.391662i | ||||
\(664\) | 0.584476 | + | 1.27982i | 0.0226821 | + | 0.0496668i | ||||
\(665\) | −0.896650 | + | 6.23634i | −0.0347706 | + | 0.241835i | ||||
\(666\) | 31.9635 | 1.23856 | ||||||||
\(667\) | 19.1017 | − | 9.42697i | 0.739621 | − | 0.365014i | ||||
\(668\) | 3.99110 | 0.154420 | ||||||||
\(669\) | 0.972746 | − | 6.76560i | 0.0376085 | − | 0.261573i | ||||
\(670\) | 1.52597 | + | 3.34141i | 0.0589534 | + | 0.129090i | ||||
\(671\) | 34.0302 | + | 9.99217i | 1.31372 | + | 0.385743i | ||||
\(672\) | 7.83838 | + | 9.04598i | 0.302372 | + | 0.348956i | ||||
\(673\) | 37.1884 | − | 10.9195i | 1.43351 | − | 0.420916i | 0.529456 | − | 0.848337i | \(-0.322396\pi\) |
0.904053 | + | 0.427421i | \(0.140578\pi\) | |||||||
\(674\) | −9.68889 | − | 6.22667i | −0.373202 | − | 0.239843i | ||||
\(675\) | 7.65574 | − | 16.7637i | 0.294670 | − | 0.645236i | ||||
\(676\) | 4.64574 | − | 5.36147i | 0.178682 | − | 0.206211i | ||||
\(677\) | −5.19887 | + | 3.34111i | −0.199809 | + | 0.128409i | −0.636719 | − | 0.771096i | \(-0.719709\pi\) |
0.436911 | + | 0.899505i | \(0.356073\pi\) | |||||||
\(678\) | −3.49818 | − | 24.3304i | −0.134347 | − | 0.934403i | ||||
\(679\) | 5.77836 | + | 40.1893i | 0.221753 | + | 1.54233i | ||||
\(680\) | 3.66247 | − | 2.35373i | 0.140449 | − | 0.0902612i | ||||
\(681\) | 27.4550 | − | 31.6847i | 1.05208 | − | 1.21416i | ||||
\(682\) | −3.20936 | + | 7.02752i | −0.122893 | + | 0.269097i | ||||
\(683\) | −11.9685 | − | 7.69168i | −0.457961 | − | 0.294314i | 0.291248 | − | 0.956648i | \(-0.405930\pi\) |
−0.749209 | + | 0.662334i | \(0.769566\pi\) | |||||||
\(684\) | −14.4340 | + | 4.23821i | −0.551898 | + | 0.162052i | ||||
\(685\) | −4.98951 | − | 5.75821i | −0.190640 | − | 0.220010i | ||||
\(686\) | −5.03769 | − | 1.47920i | −0.192340 | − | 0.0564760i | ||||
\(687\) | 36.7051 | + | 80.3730i | 1.40039 | + | 3.06642i | ||||
\(688\) | 0.639348 | − | 4.44676i | 0.0243749 | − | 0.169531i | ||||
\(689\) | 19.5229 | 0.743764 | ||||||||
\(690\) | −14.9555 | − | 6.29405i | −0.569345 | − | 0.239610i | ||||
\(691\) | −18.7466 | −0.713153 | −0.356576 | − | 0.934266i | \(-0.616056\pi\) | ||||
−0.356576 | + | 0.934266i | \(0.616056\pi\) | |||||||
\(692\) | 3.61524 | − | 25.1445i | 0.137431 | − | 0.955851i | ||||
\(693\) | 41.3909 | + | 90.6334i | 1.57231 | + | 3.44288i | ||||
\(694\) | −4.12956 | − | 1.21255i | −0.156756 | − | 0.0460277i | ||||
\(695\) | 9.91599 | + | 11.4437i | 0.376135 | + | 0.434083i | ||||
\(696\) | −14.4188 | + | 4.23374i | −0.546543 | + | 0.160480i | ||||
\(697\) | −30.5123 | − | 19.6091i | −1.15574 | − | 0.742746i | ||||
\(698\) | 3.99806 | − | 8.75454i | 0.151329 | − | 0.331364i | ||||
\(699\) | −31.2897 | + | 36.1102i | −1.18348 | + | 1.36581i | ||||
\(700\) | 2.97617 | − | 1.91267i | 0.112489 | − | 0.0722922i | ||||
\(701\) | −6.53534 | − | 45.4543i | −0.246836 | − | 1.71678i | −0.616277 | − | 0.787530i | \(-0.711360\pi\) |
0.369441 | − | 0.929254i | \(-0.379549\pi\) | |||||||
\(702\) | −6.37372 | − | 44.3302i | −0.240560 | − | 1.67313i | ||||
\(703\) | −5.66916 | + | 3.64335i | −0.213816 | + | 0.137411i | ||||
\(704\) | −2.18342 | + | 2.51980i | −0.0822906 | + | 0.0949684i | ||||
\(705\) | −9.19509 | + | 20.1344i | −0.346307 | + | 0.758307i | ||||
\(706\) | 24.4362 | + | 15.7042i | 0.919667 | + | 0.591034i | ||||
\(707\) | −25.8480 | + | 7.58964i | −0.972112 | + | 0.285438i | ||||
\(708\) | −30.8427 | − | 35.5943i | −1.15914 | − | 1.33772i | ||||
\(709\) | 2.24684 | + | 0.659733i | 0.0843820 | + | 0.0247768i | 0.323651 | − | 0.946177i | \(-0.395090\pi\) |
−0.239269 | + | 0.970953i | \(0.576908\pi\) | |||||||
\(710\) | −3.74926 | − | 8.20974i | −0.140707 | − | 0.308106i | ||||
\(711\) | 2.76484 | − | 19.2299i | 0.103690 | − | 0.721178i | ||||
\(712\) | −16.4072 | −0.614887 | ||||||||
\(713\) | 2.80902 | − | 10.7516i | 0.105199 | − | 0.402651i | ||||
\(714\) | 52.1104 | 1.95018 | ||||||||
\(715\) | 1.15312 | − | 8.02014i | 0.0431243 | − | 0.299936i | ||||
\(716\) | 8.17527 | + | 17.9013i | 0.305524 | + | 0.669005i | ||||
\(717\) | −16.1913 | − | 4.75421i | −0.604677 | − | 0.177549i | ||||
\(718\) | −16.2996 | − | 18.8108i | −0.608297 | − | 0.702012i | ||||
\(719\) | −9.05495 | + | 2.65877i | −0.337693 | + | 0.0991555i | −0.446182 | − | 0.894942i | \(-0.647217\pi\) |
0.108490 | + | 0.994098i | \(0.465399\pi\) | |||||||
\(720\) | 7.10608 | + | 4.56680i | 0.264828 | + | 0.170195i | ||||
\(721\) | −15.0516 | + | 32.9585i | −0.560552 | + | 1.22744i | ||||
\(722\) | −10.3654 | + | 11.9623i | −0.385759 | + | 0.445190i | ||||
\(723\) | −4.79547 | + | 3.08186i | −0.178346 | + | 0.114616i | ||||
\(724\) | −1.21103 | − | 8.42288i | −0.0450075 | − | 0.313034i | ||||
\(725\) | 0.632108 | + | 4.39641i | 0.0234759 | + | 0.163278i | ||||
\(726\) | −0.332103 | + | 0.213430i | −0.0123255 | + | 0.00792112i | ||||
\(727\) | 12.8019 | − | 14.7741i | 0.474795 | − | 0.547943i | −0.466944 | − | 0.884287i | \(-0.654645\pi\) |
0.941739 | + | 0.336344i | \(0.109191\pi\) | |||||||
\(728\) | 3.57150 | − | 7.82050i | 0.132369 | − | 0.289847i | ||||
\(729\) | 105.642 | + | 67.8919i | 3.91266 | + | 2.51452i | ||||
\(730\) | 2.35015 | − | 0.690068i | 0.0869831 | − | 0.0255405i | ||||
\(731\) | −12.8080 | − | 14.7813i | −0.473723 | − | 0.546705i | ||||
\(732\) | 34.5321 | + | 10.1395i | 1.27634 | + | 0.374768i | ||||
\(733\) | −1.39238 | − | 3.04890i | −0.0514289 | − | 0.112614i | 0.882173 | − | 0.470925i | \(-0.156080\pi\) |
−0.933602 | + | 0.358312i | \(0.883353\pi\) | |||||||
\(734\) | 4.57139 | − | 31.7947i | 0.168733 | − | 1.17356i | ||||
\(735\) | 18.6622 | 0.688367 | ||||||||
\(736\) | 2.47045 | − | 4.11058i | 0.0910619 | − | 0.151518i | ||||
\(737\) | −12.2476 | −0.451147 | ||||||||
\(738\) | 10.0151 | − | 69.6565i | 0.368660 | − | 2.56409i | ||||
\(739\) | −12.2408 | − | 26.8035i | −0.450284 | − | 0.985984i | −0.989595 | − | 0.143878i | \(-0.954043\pi\) |
0.539312 | − | 0.842106i | \(-0.318684\pi\) | |||||||
\(740\) | 3.63071 | + | 1.06607i | 0.133468 | + | 0.0391897i | ||||
\(741\) | 9.58902 | + | 11.0663i | 0.352262 | + | 0.406532i | ||||
\(742\) | −27.2697 | + | 8.00711i | −1.00110 | + | 0.293950i | ||||
\(743\) | −21.6886 | − | 13.9384i | −0.795677 | − | 0.511350i | 0.0785257 | − | 0.996912i | \(-0.474979\pi\) |
−0.874202 | + | 0.485562i | \(0.838615\pi\) | |||||||
\(744\) | −3.25669 | + | 7.13116i | −0.119396 | + | 0.261441i | ||||
\(745\) | −2.93797 | + | 3.39060i | −0.107639 | + | 0.124222i | ||||
\(746\) | −17.3965 | + | 11.1801i | −0.636931 | + | 0.409331i | ||||
\(747\) | 1.69137 | + | 11.7637i | 0.0618839 | + | 0.430412i | ||||
\(748\) | 2.06578 | + | 14.3678i | 0.0755325 | + | 0.525340i | ||||
\(749\) | −4.74568 | + | 3.04986i | −0.173403 | + | 0.111439i | ||||
\(750\) | 2.21562 | − | 2.55696i | 0.0809030 | − | 0.0933670i | ||||
\(751\) | 1.58875 | − | 3.47887i | 0.0579741 | − | 0.126946i | −0.878428 | − | 0.477875i | \(-0.841407\pi\) |
0.936402 | + | 0.350930i | \(0.114134\pi\) | |||||||
\(752\) | −5.50370 | − | 3.53701i | −0.200699 | − | 0.128982i | ||||
\(753\) | 76.7770 | − | 22.5438i | 2.79791 | − | 0.821540i | ||||
\(754\) | 7.06851 | + | 8.15749i | 0.257420 | + | 0.297078i | ||||
\(755\) | 9.00108 | + | 2.64296i | 0.327583 | + | 0.0961870i | ||||
\(756\) | 27.0844 | + | 59.3065i | 0.985049 | + | 2.15696i | ||||
\(757\) | −4.27139 | + | 29.7081i | −0.155246 | + | 1.07976i | 0.752001 | + | 0.659162i | \(0.229089\pi\) |
−0.907247 | + | 0.420599i | \(0.861820\pi\) | |||||||
\(758\) | 26.0645 | 0.946705 | ||||||||
\(759\) | 39.8033 | − | 36.6403i | 1.44477 | − | 1.32996i | ||||
\(760\) | −1.78091 | −0.0646003 | ||||||||
\(761\) | −6.80297 | + | 47.3157i | −0.246607 | + | 1.71519i | 0.370939 | + | 0.928657i | \(0.379036\pi\) |
−0.617546 | + | 0.786535i | \(0.711873\pi\) | |||||||
\(762\) | −8.95938 | − | 19.6183i | −0.324564 | − | 0.710696i | ||||
\(763\) | −20.1854 | − | 5.92697i | −0.730761 | − | 0.214571i | ||||
\(764\) | 12.6297 | + | 14.5754i | 0.456925 | + | 0.527319i | ||||
\(765\) | 35.2852 | − | 10.3607i | 1.27574 | − | 0.374590i | ||||
\(766\) | −9.19573 | − | 5.90973i | −0.332255 | − | 0.213527i | ||||
\(767\) | −14.0532 | + | 30.7723i | −0.507433 | + | 1.11112i | ||||
\(768\) | −2.21562 | + | 2.55696i | −0.0799493 | + | 0.0922664i | ||||
\(769\) | 29.7917 | − | 19.1460i | 1.07432 | − | 0.690421i | 0.121079 | − | 0.992643i | \(-0.461365\pi\) |
0.953238 | + | 0.302221i | \(0.0977282\pi\) | |||||||
\(770\) | 1.67868 | + | 11.6755i | 0.0604956 | + | 0.420756i | ||||
\(771\) | −7.86287 | − | 54.6875i | −0.283174 | − | 1.96952i | ||||
\(772\) | −11.7070 | + | 7.52366i | −0.421346 | + | 0.270782i | ||||
\(773\) | 9.14989 | − | 10.5595i | 0.329099 | − | 0.379800i | −0.566953 | − | 0.823750i | \(-0.691878\pi\) |
0.896052 | + | 0.443950i | \(0.146423\pi\) | |||||||
\(774\) | 15.7642 | − | 34.5188i | 0.566633 | − | 1.24075i | ||||
\(775\) | 1.94929 | + | 1.25273i | 0.0700204 | + | 0.0449994i | ||||
\(776\) | −11.0120 | + | 3.23340i | −0.395306 | + | 0.116072i | ||||
\(777\) | 29.6604 | + | 34.2299i | 1.06406 | + | 1.22799i | ||||
\(778\) | 31.1445 | + | 9.14484i | 1.11658 | + | 0.327859i | ||||
\(779\) | 6.16347 | + | 13.4961i | 0.220829 | + | 0.483548i | ||||
\(780\) | 1.17013 | − | 8.13843i | 0.0418974 | − | 0.291403i | ||||
\(781\) | 30.0920 | 1.07678 | ||||||||
\(782\) | −6.48150 | − | 19.8475i | −0.231778 | − | 0.709747i | ||||
\(783\) | −81.8552 | −2.92527 | ||||||||
\(784\) | −0.784997 | + | 5.45977i | −0.0280356 | + | 0.194992i | ||||
\(785\) | 1.17541 | + | 2.57379i | 0.0419521 | + | 0.0918623i | ||||
\(786\) | −32.5171 | − | 9.54787i | −1.15985 | − | 0.340561i | ||||
\(787\) | −23.5270 | − | 27.1516i | −0.838647 | − | 0.967850i | 0.161171 | − | 0.986926i | \(-0.448473\pi\) |
−0.999818 | + | 0.0190767i | \(0.993927\pi\) | |||||||
\(788\) | −6.53573 | + | 1.91906i | −0.232826 | + | 0.0683638i | ||||
\(789\) | 4.31921 | + | 2.77579i | 0.153768 | + | 0.0988207i | ||||
\(790\) | 0.955431 | − | 2.09210i | 0.0339927 | − | 0.0744336i | ||||
\(791\) | 16.8316 | − | 19.4247i | 0.598464 | − | 0.690665i | ||||
\(792\) | −23.6929 | + | 15.2265i | −0.841890 | + | 0.541050i | ||||
\(793\) | −3.67894 | − | 25.5876i | −0.130643 | − | 0.908643i | ||||
\(794\) | 1.97175 | + | 13.7139i | 0.0699749 | + | 0.486686i | ||||
\(795\) | −22.8655 | + | 14.6948i | −0.810955 | + | 0.521169i | ||||
\(796\) | 14.4469 | − | 16.6726i | 0.512056 | − | 0.590944i | ||||
\(797\) | −14.6498 | + | 32.0787i | −0.518924 | + | 1.13628i | 0.450922 | + | 0.892563i | \(0.351095\pi\) |
−0.969845 | + | 0.243721i | \(0.921632\pi\) | |||||||
\(798\) | −17.9327 | − | 11.5247i | −0.634811 | − | 0.407968i | ||||
\(799\) | −27.3285 | + | 8.02438i | −0.966814 | + | 0.283882i | ||||
\(800\) | 0.654861 | + | 0.755750i | 0.0231528 | + | 0.0267198i | ||||
\(801\) | −132.978 | − | 39.0459i | −4.69855 | − | 1.37962i | ||||
\(802\) | 6.89693 | + | 15.1022i | 0.243539 | + | 0.533276i | ||||
\(803\) | −1.16223 | + | 8.08349i | −0.0410142 | + | 0.285260i | ||||
\(804\) | −12.4283 | −0.438311 | ||||||||
\(805\) | −5.26696 | − | 16.1284i | −0.185636 | − | 0.568451i | ||||
\(806\) | 5.63101 | 0.198344 | ||||||||
\(807\) | 9.94631 | − | 69.1781i | 0.350127 | − | 2.43518i | ||||
\(808\) | −3.16326 | − | 6.92658i | −0.111283 | − | 0.243676i | ||||
\(809\) | 5.73260 | + | 1.68324i | 0.201548 | + | 0.0591797i | 0.380948 | − | 0.924596i | \(-0.375598\pi\) |
−0.179401 | + | 0.983776i | \(0.557416\pi\) | |||||||
\(810\) | 24.2371 | + | 27.9711i | 0.851605 | + | 0.982804i | ||||
\(811\) | −31.3203 | + | 9.19648i | −1.09981 | + | 0.322932i | −0.780775 | − | 0.624812i | \(-0.785176\pi\) |
−0.319031 | + | 0.947744i | \(0.603357\pi\) | |||||||
\(812\) | −13.2190 | − | 8.49535i | −0.463897 | − | 0.298128i | ||||
\(813\) | −16.2434 | + | 35.5681i | −0.569681 | + | 1.24743i | ||||
\(814\) | −8.26203 | + | 9.53489i | −0.289584 | + | 0.334198i | ||||
\(815\) | 5.98538 | − | 3.84657i | 0.209659 | − | 0.134740i | ||||
\(816\) | 2.09625 | + | 14.5797i | 0.0733835 | + | 0.510393i | ||||
\(817\) | 1.13862 | + | 7.91927i | 0.0398353 | + | 0.277060i | ||||
\(818\) | 25.6083 | − | 16.4574i | 0.895372 | − | 0.575420i | ||||
\(819\) | 47.5578 | − | 54.8846i | 1.66180 | − | 1.91782i | ||||
\(820\) | 3.46085 | − | 7.57821i | 0.120858 | − | 0.264643i | ||||
\(821\) | 5.18848 | + | 3.33443i | 0.181079 | + | 0.116373i | 0.628040 | − | 0.778181i | \(-0.283857\pi\) |
−0.446961 | + | 0.894553i | \(0.647494\pi\) | |||||||
\(822\) | 24.7342 | − | 7.26261i | 0.862703 | − | 0.253313i | ||||
\(823\) | −21.8802 | − | 25.2511i | −0.762697 | − | 0.880200i | 0.233037 | − | 0.972468i | \(-0.425134\pi\) |
−0.995734 | + | 0.0922684i | \(0.970588\pi\) | |||||||
\(824\) | −9.82680 | − | 2.88541i | −0.342333 | − | 0.100518i | ||||
\(825\) | 4.68615 | + | 10.2612i | 0.163151 | + | 0.357250i | ||||
\(826\) | 7.00871 | − | 48.7467i | 0.243864 | − | 1.69611i | ||||
\(827\) | 41.1796 | 1.43196 | 0.715978 | − | 0.698123i | \(-0.245981\pi\) | ||||
0.715978 | + | 0.698123i | \(0.245981\pi\) | |||||||
\(828\) | 29.8050 | − | 27.4365i | 1.03579 | − | 0.953485i | ||||
\(829\) | 1.03538 | 0.0359601 | 0.0179800 | − | 0.999838i | \(-0.494276\pi\) | ||||
0.0179800 | + | 0.999838i | \(0.494276\pi\) | |||||||
\(830\) | −0.200233 | + | 1.39265i | −0.00695018 | + | 0.0483395i | ||||
\(831\) | 1.79315 | + | 3.92644i | 0.0622035 | + | 0.136207i | ||||
\(832\) | 2.33174 | + | 0.684660i | 0.0808384 | + | 0.0237363i | ||||
\(833\) | 15.7258 | + | 18.1486i | 0.544868 | + | 0.628811i | ||||
\(834\) | −49.1558 | + | 14.4335i | −1.70213 | + | 0.499790i | ||||
\(835\) | 3.35753 | + | 2.15775i | 0.116192 | + | 0.0746722i | ||||
\(836\) | 2.46667 | − | 5.40126i | 0.0853116 | − | 0.186806i | ||||
\(837\) | −27.9642 | + | 32.2724i | −0.966584 | + | 1.11550i | ||||
\(838\) | −16.4804 | + | 10.5913i | −0.569307 | + | 0.365872i | ||||
\(839\) | 1.31747 | + | 9.16322i | 0.0454842 | + | 0.316350i | 0.999844 | + | 0.0176888i | \(0.00563083\pi\) |
−0.954359 | + | 0.298661i | \(0.903460\pi\) | |||||||
\(840\) | 1.70344 | + | 11.8477i | 0.0587744 | + | 0.408785i | ||||
\(841\) | −7.80013 | + | 5.01284i | −0.268970 | + | 0.172857i | ||||
\(842\) | 2.59703 | − | 2.99713i | 0.0894994 | − | 0.103288i | ||||
\(843\) | 7.68406 | − | 16.8257i | 0.264653 | − | 0.579509i | ||||
\(844\) | 2.53396 | + | 1.62848i | 0.0872225 | + | 0.0560545i | ||||
\(845\) | 6.80688 | − | 1.99868i | 0.234164 | − | 0.0687567i | ||||
\(846\) | −36.1893 | − | 41.7647i | −1.24421 | − | 1.43590i | ||||
\(847\) | −0.396071 | − | 0.116297i | −0.0136092 | − | 0.00399601i | ||||
\(848\) | −3.33726 | − | 7.30757i | −0.114602 | − | 0.250943i | ||||
\(849\) | 0.159765 | − | 1.11119i | 0.00548313 | − | 0.0381360i | ||||
\(850\) | 4.35358 | 0.149327 | ||||||||
\(851\) | 9.34815 | − | 15.5544i | 0.320450 | − | 0.533199i | ||||
\(852\) | 30.5359 | 1.04614 | ||||||||
\(853\) | −3.30389 | + | 22.9791i | −0.113123 | + | 0.786789i | 0.851727 | + | 0.523986i | \(0.175556\pi\) |
−0.964850 | + | 0.262802i | \(0.915353\pi\) | |||||||
\(854\) | 15.6332 | + | 34.2320i | 0.534958 | + | 1.17139i | ||||
\(855\) | −14.4340 | − | 4.23821i | −0.493633 | − | 0.144944i | ||||
\(856\) | −1.04421 | − | 1.20509i | −0.0356904 | − | 0.0411890i | ||||
\(857\) | −11.7174 | + | 3.44053i | −0.400258 | + | 0.117526i | −0.475665 | − | 0.879626i | \(-0.657793\pi\) |
0.0754071 | + | 0.997153i | \(0.475974\pi\) | |||||||
\(858\) | 23.0621 | + | 14.8211i | 0.787326 | + | 0.505984i | ||||
\(859\) | −17.9109 | + | 39.2194i | −0.611111 | + | 1.33815i | 0.310700 | + | 0.950508i | \(0.399437\pi\) |
−0.921811 | + | 0.387639i | \(0.873291\pi\) | |||||||
\(860\) | 2.94195 | − | 3.39520i | 0.100320 | − | 0.115775i | ||||
\(861\) | 83.8891 | − | 53.9123i | 2.85893 | − | 1.83732i | ||||
\(862\) | −0.714915 | − | 4.97234i | −0.0243501 | − | 0.169359i | ||||
\(863\) | −0.734051 | − | 5.10544i | −0.0249874 | − | 0.173791i | 0.973506 | − | 0.228661i | \(-0.0734347\pi\) |
−0.998494 | + | 0.0548698i | \(0.982526\pi\) | |||||||
\(864\) | −15.5036 | + | 9.96354i | −0.527442 | + | 0.338967i | ||||
\(865\) | 16.6355 | − | 19.1984i | 0.565624 | − | 0.652764i | ||||
\(866\) | −1.58075 | + | 3.46137i | −0.0537162 | + | 0.117622i | ||||
\(867\) | 5.56070 | + | 3.57365i | 0.188851 | + | 0.121367i | ||||
\(868\) | −7.86541 | + | 2.30949i | −0.266970 | + | 0.0783893i | ||||
\(869\) | 5.02173 | + | 5.79539i | 0.170351 | + | 0.196595i | ||||
\(870\) | −14.4188 | − | 4.23374i | −0.488843 | − | 0.143537i | ||||
\(871\) | 3.70838 | + | 8.12022i | 0.125654 | + | 0.275143i | ||||
\(872\) | 0.846281 | − | 5.88601i | 0.0286587 | − | 0.199326i | ||||
\(873\) | −96.9452 | −3.28110 | ||||||||
\(874\) | −2.15898 | + | 8.26356i | −0.0730286 | + | 0.279519i | ||||
\(875\) | 3.53778 | 0.119599 | ||||||||
\(876\) | −1.17937 | + | 8.20272i | −0.0398473 | + | 0.277144i | ||||
\(877\) | 22.1532 | + | 48.5087i | 0.748060 | + | 1.63802i | 0.769821 | + | 0.638260i | \(0.220346\pi\) |
−0.0217607 | + | 0.999763i | \(0.506927\pi\) | |||||||
\(878\) | −22.6170 | − | 6.64094i | −0.763286 | − | 0.224121i | ||||
\(879\) | 35.5899 | + | 41.0730i | 1.20042 | + | 1.38536i | ||||
\(880\) | −3.19911 | + | 0.939344i | −0.107842 | + | 0.0316653i | ||||
\(881\) | 30.9764 | + | 19.9074i | 1.04362 | + | 0.670696i | 0.945880 | − | 0.324516i | \(-0.105201\pi\) |
0.0977428 | + | 0.995212i | \(0.468838\pi\) | |||||||
\(882\) | −19.3555 | + | 42.3825i | −0.651732 | + | 1.42709i | ||||
\(883\) | −11.6056 | + | 13.3936i | −0.390561 | + | 0.450731i | −0.916646 | − | 0.399701i | \(-0.869114\pi\) |
0.526085 | + | 0.850432i | \(0.323659\pi\) | |||||||
\(884\) | 8.90044 | − | 5.71997i | 0.299354 | − | 0.192383i | ||||
\(885\) | −6.70275 | − | 46.6187i | −0.225311 | − | 1.56707i | ||||
\(886\) | 0.396757 | + | 2.75950i | 0.0133293 | + | 0.0927074i | ||||
\(887\) | −17.2351 | + | 11.0763i | −0.578697 | + | 0.371906i | −0.797004 | − | 0.603974i | \(-0.793583\pi\) |
0.218307 | + | 0.975880i | \(0.429947\pi\) | |||||||
\(888\) | −8.38389 | + | 9.67552i | −0.281345 | + | 0.324689i | ||||
\(889\) | 9.36835 | − | 20.5138i | 0.314204 | − | 0.688011i | ||||
\(890\) | −13.8026 | − | 8.87041i | −0.462665 | − | 0.297337i | ||||
\(891\) | −118.403 | + | 34.7661i | −3.96663 | + | 1.16471i | ||||
\(892\) | 1.32298 | + | 1.52680i | 0.0442965 | + | 0.0511209i | ||||
\(893\) | 11.1792 | + | 3.28251i | 0.374098 | + | 0.109845i | ||||
\(894\) | −6.30561 | − | 13.8074i | −0.210891 | − | 0.461787i | ||||
\(895\) | −2.80072 | + | 19.4795i | −0.0936178 | + | 0.651126i | ||||
\(896\) | −3.53778 | −0.118189 | ||||||||
\(897\) | −36.3444 | − | 15.2956i | −1.21351 | − | 0.510707i | ||||
\(898\) | −19.5177 | −0.651313 | ||||||||
\(899\) | 1.46467 | − | 10.1870i | 0.0488495 | − | 0.339756i | ||||
\(900\) | 3.50902 | + | 7.68368i | 0.116967 | + | 0.256123i | ||||
\(901\) | −33.5580 | − | 9.85352i | −1.11798 | − | 0.328268i | ||||
\(902\) | 18.1902 | + | 20.9926i | 0.605668 | + | 0.698978i | ||||
\(903\) | 51.5948 | − | 15.1496i | 1.71697 | − | 0.504147i | ||||
\(904\) | 6.11185 | + | 3.92785i | 0.203277 | + | 0.130638i | ||||
\(905\) | 3.53497 | − | 7.74051i | 0.117506 | − | 0.257303i | ||||
\(906\) | −20.7849 | + | 23.9871i | −0.690532 | + | 0.796917i | ||||
\(907\) | 23.4683 | − | 15.0822i | 0.779253 | − | 0.500796i | −0.0895324 | − | 0.995984i | \(-0.528537\pi\) |
0.868786 | + | 0.495188i | \(0.164901\pi\) | |||||||
\(908\) | 1.76350 | + | 12.2654i | 0.0585239 | + | 0.407042i | ||||
\(909\) | −9.15391 | − | 63.6668i | −0.303616 | − | 2.11170i | ||||
\(910\) | 7.23262 | − | 4.64813i | 0.239759 | − | 0.154084i | ||||
\(911\) | 16.6903 | − | 19.2617i | 0.552976 | − | 0.638168i | −0.408598 | − | 0.912714i | \(-0.633982\pi\) |
0.961574 | + | 0.274546i | \(0.0885277\pi\) | |||||||
\(912\) | 2.50305 | − | 5.48092i | 0.0828844 | − | 0.181491i | ||||
\(913\) | −3.94638 | − | 2.53619i | −0.130606 | − | 0.0839355i | ||||
\(914\) | 3.06590 | − | 0.900231i | 0.101411 | − | 0.0297770i | ||||
\(915\) | 23.5684 | + | 27.1994i | 0.779148 | + | 0.899184i | ||||
\(916\) | −25.0576 | − | 7.35758i | −0.827927 | − | 0.243101i | ||||
\(917\) | −14.7210 | − | 32.2345i | −0.486130 | − | 1.06448i | ||||
\(918\) | −11.4183 | + | 79.4161i | −0.376861 | + | 2.62112i | ||||
\(919\) | −45.4554 | −1.49944 | −0.749718 | − | 0.661758i | \(-0.769811\pi\) | ||||
−0.749718 | + | 0.661758i | \(0.769811\pi\) | |||||||
\(920\) | 4.30062 | − | 2.12242i | 0.141787 | − | 0.0699741i | ||||
\(921\) | 110.065 | 3.62677 | ||||||||
\(922\) | −1.89277 | + | 13.1645i | −0.0623349 | + | 0.433549i | ||||
\(923\) | −9.11137 | − | 19.9511i | −0.299904 | − | 0.656699i | ||||
\(924\) | −38.2919 | − | 11.2435i | −1.25971 | − | 0.369885i | ||||
\(925\) | 2.47799 | + | 2.85975i | 0.0814757 | + | 0.0940280i | ||||
\(926\) | 18.9559 | − | 5.56595i | 0.622929 | − | 0.182909i | ||||
\(927\) | −72.7781 | − | 46.7716i | −2.39035 | − | 1.53618i | ||||
\(928\) | 1.84511 | − | 4.04024i | 0.0605689 | − | 0.132627i | ||||
\(929\) | −14.7633 | + | 17.0377i | −0.484367 | + | 0.558989i | −0.944352 | − | 0.328938i | \(-0.893309\pi\) |
0.459985 | + | 0.887927i | \(0.347855\pi\) | |||||||
\(930\) | −6.59510 | + | 4.23842i | −0.216262 | + | 0.138983i | ||||
\(931\) | −1.39801 | − | 9.72336i | −0.0458179 | − | 0.318670i | ||||
\(932\) | −2.00982 | − | 13.9786i | −0.0658337 | − | 0.457883i | ||||
\(933\) | −5.65329 | + | 3.63315i | −0.185081 | + | 0.118944i | ||||
\(934\) | −5.33108 | + | 6.15239i | −0.174438 | + | 0.201312i | ||||
\(935\) | −6.02999 | + | 13.2038i | −0.197202 | + | 0.431812i | ||||
\(936\) | 17.2690 | + | 11.0981i | 0.564456 | + | 0.362754i | ||||
\(937\) | 18.8432 | − | 5.53285i | 0.615579 | − | 0.180750i | 0.0409458 | − | 0.999161i | \(-0.486963\pi\) |
0.574633 | + | 0.818411i | \(0.305145\pi\) | |||||||
\(938\) | −8.51029 | − | 9.82140i | −0.277871 | − | 0.320680i | ||||
\(939\) | 12.5632 | + | 3.68890i | 0.409986 | + | 0.120383i | ||||
\(940\) | −2.71775 | − | 5.95105i | −0.0886433 | − | 0.194102i | ||||
\(941\) | 0.802738 | − | 5.58316i | 0.0261685 | − | 0.182006i | −0.972545 | − | 0.232715i | \(-0.925239\pi\) |
0.998713 | + | 0.0507091i | \(0.0161481\pi\) | |||||||
\(942\) | −9.57310 | −0.311909 | ||||||||
\(943\) | −30.9680 | − | 25.2456i | −1.00846 | − | 0.822111i | ||||
\(944\) | 13.9206 | 0.453076 | ||||||||
\(945\) | −9.27869 | + | 64.5347i | −0.301836 | + | 2.09931i | ||||
\(946\) | 6.22238 | + | 13.6251i | 0.202307 | + | 0.442991i | ||||
\(947\) | −0.927954 | − | 0.272472i | −0.0301544 | − | 0.00885414i | 0.266621 | − | 0.963802i | \(-0.414093\pi\) |
−0.296775 | + | 0.954947i | \(0.595911\pi\) | |||||||
\(948\) | 5.09580 | + | 5.88087i | 0.165504 | + | 0.191002i | ||||
\(949\) | 5.71129 | − | 1.67699i | 0.185396 | − | 0.0544372i | ||||
\(950\) | −1.49820 | − | 0.962832i | −0.0486079 | − | 0.0312384i | ||||
\(951\) | −2.93617 | + | 6.42931i | −0.0952118 | + | 0.208485i | ||||
\(952\) | −10.0862 | + | 11.6401i | −0.326895 | + | 0.377257i | ||||
\(953\) | −27.4641 | + | 17.6501i | −0.889649 | + | 0.571743i | −0.903704 | − | 0.428158i | \(-0.859163\pi\) |
0.0140544 | + | 0.999901i | \(0.495526\pi\) | |||||||
\(954\) | −9.65741 | − | 67.1688i | −0.312670 | − | 2.17467i | ||||
\(955\) | 2.74469 | + | 19.0897i | 0.0888159 | + | 0.617728i | ||||
\(956\) | 4.19587 | − | 2.69652i | 0.135704 | − | 0.0872117i | ||||
\(957\) | 32.8113 | − | 37.8663i | 1.06064 | − | 1.22404i | ||||
\(958\) | −2.28650 | + | 5.00675i | −0.0738736 | + | 0.161761i | ||||
\(959\) | 22.6761 | + | 14.5730i | 0.732248 | + | 0.470587i | ||||
\(960\) | −3.24630 | + | 0.953198i | −0.104774 | + | 0.0307643i | ||||
\(961\) | 16.7847 | + | 19.3706i | 0.541442 | + | 0.624858i | ||||
\(962\) | 8.82327 | + | 2.59075i | 0.284474 | + | 0.0835290i | ||||
\(963\) | −5.59533 | − | 12.2521i | −0.180307 | − | 0.394817i | ||||
\(964\) | 0.239778 | − | 1.66769i | 0.00772272 | − | 0.0537127i | ||||
\(965\) | −13.9162 | −0.447978 | ||||||||
\(966\) | 57.0394 | + | 6.45875i | 1.83521 | + | 0.207807i | ||||
\(967\) | −40.2297 | −1.29370 | −0.646851 | − | 0.762617i | \(-0.723914\pi\) | ||||
−0.646851 | + | 0.762617i | \(0.723914\pi\) | |||||||
\(968\) | 0.0166054 | − | 0.115493i | 0.000533719 | − | 0.00371210i | ||||
\(969\) | −10.8973 | − | 23.8617i | −0.350070 | − | 0.766547i | ||||
\(970\) | −11.0120 | − | 3.23340i | −0.353573 | − | 0.103818i | ||||
\(971\) | −0.758179 | − | 0.874985i | −0.0243311 | − | 0.0280796i | 0.743454 | − | 0.668788i | \(-0.233186\pi\) |
−0.767785 | + | 0.640708i | \(0.778641\pi\) | |||||||
\(972\) | −67.1009 | + | 19.7026i | −2.15226 | + | 0.631962i | ||||
\(973\) | −45.0656 | − | 28.9619i | −1.44474 | − | 0.928477i | ||||
\(974\) | 12.4302 | − | 27.2183i | 0.398289 | − | 0.872132i | ||||
\(975\) | 5.38434 | − | 6.21386i | 0.172437 | − | 0.199003i | ||||
\(976\) | −8.94874 | + | 5.75101i | −0.286442 | + | 0.184085i | ||||
\(977\) | −7.87917 | − | 54.8009i | −0.252077 | − | 1.75323i | −0.585700 | − | 0.810528i | \(-0.699180\pi\) |
0.333623 | − | 0.942707i | \(-0.391729\pi\) | |||||||
\(978\) | 3.42580 | + | 23.8269i | 0.109545 | + | 0.761901i | ||||
\(979\) | 46.0203 | − | 29.5755i | 1.47082 | − | 0.945236i | ||||
\(980\) | −3.61216 | + | 4.16865i | −0.115386 | + | 0.133163i | ||||
\(981\) | 20.8665 | − | 45.6913i | 0.666217 | − | 1.45881i | ||||
\(982\) | −24.9008 | − | 16.0027i | −0.794615 | − | 0.510668i | ||||
\(983\) | 1.23462 | − | 0.362516i | 0.0393781 | − | 0.0115625i | −0.261984 | − | 0.965072i | \(-0.584377\pi\) |
0.301362 | + | 0.953510i | \(0.402559\pi\) | |||||||
\(984\) | 18.4585 | + | 21.3022i | 0.588435 | + | 0.679091i | ||||
\(985\) | −6.53573 | − | 1.91906i | −0.208246 | − | 0.0611464i | ||||
\(986\) | −8.03286 | − | 17.5895i | −0.255818 | − | 0.560164i | ||||
\(987\) | 11.1444 | − | 77.5108i | 0.354729 | − | 2.46719i | ||||
\(988\) | −4.32792 | −0.137689 | ||||||||
\(989\) | −12.1875 | − | 17.7669i | −0.387539 | − | 0.564954i | ||||
\(990\) | −28.1638 | −0.895104 | ||||||||
\(991\) | 1.55111 | − | 10.7882i | 0.0492725 | − | 0.342698i | −0.950241 | − | 0.311515i | \(-0.899163\pi\) |
0.999514 | − | 0.0311828i | \(-0.00992741\pi\) | |||||||
\(992\) | −0.962566 | − | 2.10773i | −0.0305615 | − | 0.0669204i | ||||
\(993\) | −41.5999 | − | 12.2148i | −1.32013 | − | 0.387626i | ||||
\(994\) | 20.9095 | + | 24.1309i | 0.663210 | + | 0.765385i | ||||
\(995\) | 21.1674 | − | 6.21530i | 0.671051 | − | 0.197038i | ||||
\(996\) | −4.00459 | − | 2.57359i | −0.126890 | − | 0.0815474i | ||||
\(997\) | −2.85596 | + | 6.25368i | −0.0904491 | + | 0.198056i | −0.949450 | − | 0.313918i | \(-0.898358\pi\) |
0.859001 | + | 0.511974i | \(0.171086\pi\) | |||||||
\(998\) | −13.3239 | + | 15.3765i | −0.421759 | + | 0.486736i | ||||
\(999\) | −58.6654 | + | 37.7020i | −1.85609 | + | 1.19284i |
(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 | 230.2.g.b.31.2 | ✓ | 20 | |
23.3 | even | 11 | inner | 230.2.g.b.141.2 | yes | 20 | |
23.7 | odd | 22 | 5290.2.a.bi.1.10 | 10 | |||
23.16 | even | 11 | 5290.2.a.bj.1.10 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.g.b.31.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
230.2.g.b.141.2 | yes | 20 | 23.3 | even | 11 | inner | |
5290.2.a.bi.1.10 | 10 | 23.7 | odd | 22 | |||
5290.2.a.bj.1.10 | 10 | 23.16 | even | 11 |