Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (of order \(36\), degree \(12\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 473.38 | ||
Character | \(\chi\) | \(=\) | 570.473 |
Dual form | 570.2.bi.a.47.38 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.819152 | − | 0.573576i | 0.579228 | − | 0.405580i | ||||
\(3\) | 1.50626 | − | 0.855093i | 0.869639 | − | 0.493688i | ||||
\(4\) | 0.342020 | − | 0.939693i | 0.171010 | − | 0.469846i | ||||
\(5\) | 1.97892 | + | 1.04110i | 0.884999 | + | 0.465594i | ||||
\(6\) | 0.743394 | − | 1.56441i | 0.303489 | − | 0.638666i | ||||
\(7\) | −2.09813 | − | 0.562193i | −0.793020 | − | 0.212489i | −0.160503 | − | 0.987035i | \(-0.551312\pi\) |
−0.632517 | + | 0.774546i | \(0.717978\pi\) | |||||||
\(8\) | −0.258819 | − | 0.965926i | −0.0915064 | − | 0.341506i | ||||
\(9\) | 1.53763 | − | 2.57598i | 0.512544 | − | 0.858661i | ||||
\(10\) | 2.21818 | − | 0.282241i | 0.701451 | − | 0.0892526i | ||||
\(11\) | 2.25218 | + | 1.30030i | 0.679059 | + | 0.392055i | 0.799500 | − | 0.600666i | \(-0.205098\pi\) |
−0.120442 | + | 0.992720i | \(0.538431\pi\) | |||||||
\(12\) | −0.288353 | − | 1.70788i | −0.0832404 | − | 0.493022i | ||||
\(13\) | −2.88829 | − | 0.252692i | −0.801067 | − | 0.0700843i | −0.320733 | − | 0.947170i | \(-0.603929\pi\) |
−0.480334 | + | 0.877085i | \(0.659485\pi\) | |||||||
\(14\) | −2.04115 | + | 0.742919i | −0.545521 | + | 0.198553i | ||||
\(15\) | 3.87100 | − | 0.123992i | 0.999487 | − | 0.0320146i | ||||
\(16\) | −0.766044 | − | 0.642788i | −0.191511 | − | 0.160697i | ||||
\(17\) | 1.92052 | − | 1.34476i | 0.465795 | − | 0.326153i | −0.317008 | − | 0.948423i | \(-0.602678\pi\) |
0.782803 | + | 0.622270i | \(0.213789\pi\) | |||||||
\(18\) | −0.217968 | − | 2.99207i | −0.0513754 | − | 0.705238i | ||||
\(19\) | 3.59309 | − | 2.46774i | 0.824310 | − | 0.566138i | ||||
\(20\) | 1.65514 | − | 1.50350i | 0.370101 | − | 0.336192i | ||||
\(21\) | −3.64106 | + | 0.947290i | −0.794545 | + | 0.206716i | ||||
\(22\) | 2.59070 | − | 0.226657i | 0.552339 | − | 0.0483234i | ||||
\(23\) | −5.73853 | + | 2.67592i | −1.19657 | + | 0.557968i | −0.915733 | − | 0.401788i | \(-0.868389\pi\) |
−0.280834 | + | 0.959756i | \(0.590611\pi\) | |||||||
\(24\) | −1.21580 | − | 1.23362i | −0.248175 | − | 0.251812i | ||||
\(25\) | 2.83222 | + | 4.12050i | 0.566445 | + | 0.824100i | ||||
\(26\) | −2.51089 | + | 1.44966i | −0.492425 | + | 0.284302i | ||||
\(27\) | 0.113370 | − | 5.19492i | 0.0218181 | − | 0.999762i | ||||
\(28\) | −1.24589 | + | 1.77932i | −0.235452 | + | 0.336260i | ||||
\(29\) | −0.986495 | − | 5.59469i | −0.183188 | − | 1.03891i | −0.928262 | − | 0.371927i | \(-0.878697\pi\) |
0.745075 | − | 0.666981i | \(-0.232414\pi\) | |||||||
\(30\) | 3.09982 | − | 2.32188i | 0.565947 | − | 0.423916i | ||||
\(31\) | 4.45573 | + | 7.71755i | 0.800273 | + | 1.38611i | 0.919436 | + | 0.393239i | \(0.128645\pi\) |
−0.119163 | + | 0.992875i | \(0.538021\pi\) | |||||||
\(32\) | −0.996195 | − | 0.0871557i | −0.176104 | − | 0.0154071i | ||||
\(33\) | 4.50425 | + | 0.0327612i | 0.784089 | + | 0.00570299i | ||||
\(34\) | 0.801875 | − | 2.20313i | 0.137520 | − | 0.377834i | ||||
\(35\) | −3.56673 | − | 3.29690i | −0.602888 | − | 0.557278i | ||||
\(36\) | −1.89473 | − | 2.32594i | −0.315788 | − | 0.387657i | ||||
\(37\) | −8.53429 | + | 8.53429i | −1.40303 | + | 1.40303i | −0.612755 | + | 0.790273i | \(0.709939\pi\) |
−0.790273 | + | 0.612755i | \(0.790061\pi\) | |||||||
\(38\) | 1.52785 | − | 4.08236i | 0.247849 | − | 0.662247i | ||||
\(39\) | −4.56659 | + | 2.08913i | −0.731239 | + | 0.334529i | ||||
\(40\) | 0.493443 | − | 2.18094i | 0.0780203 | − | 0.344837i | ||||
\(41\) | −3.23906 | + | 3.86016i | −0.505856 | + | 0.602856i | −0.957176 | − | 0.289507i | \(-0.906509\pi\) |
0.451320 | + | 0.892362i | \(0.350953\pi\) | |||||||
\(42\) | −2.43924 | + | 2.86440i | −0.376383 | + | 0.441987i | ||||
\(43\) | 7.06928 | + | 3.29646i | 1.07806 | + | 0.502705i | 0.878775 | − | 0.477237i | \(-0.158362\pi\) |
0.199281 | + | 0.979942i | \(0.436139\pi\) | |||||||
\(44\) | 1.99217 | − | 1.67163i | 0.300331 | − | 0.252008i | ||||
\(45\) | 5.72470 | − | 3.49683i | 0.853388 | − | 0.521276i | ||||
\(46\) | −3.16588 | + | 5.48347i | −0.466784 | + | 0.808494i | ||||
\(47\) | 1.86125 | − | 2.65814i | 0.271491 | − | 0.387730i | −0.660135 | − | 0.751147i | \(-0.729501\pi\) |
0.931627 | + | 0.363417i | \(0.118390\pi\) | |||||||
\(48\) | −1.70350 | − | 0.313166i | −0.245880 | − | 0.0452016i | ||||
\(49\) | −1.97607 | − | 1.14089i | −0.282296 | − | 0.162984i | ||||
\(50\) | 4.68344 | + | 1.75082i | 0.662339 | + | 0.247603i | ||||
\(51\) | 1.74291 | − | 3.66779i | 0.244056 | − | 0.513593i | ||||
\(52\) | −1.22531 | + | 2.62768i | −0.169919 | + | 0.364393i | ||||
\(53\) | −7.30907 | + | 3.40827i | −1.00398 | + | 0.468162i | −0.853858 | − | 0.520506i | \(-0.825744\pi\) |
−0.150119 | + | 0.988668i | \(0.547966\pi\) | |||||||
\(54\) | −2.88681 | − | 4.32045i | −0.392846 | − | 0.587939i | ||||
\(55\) | 3.10314 | + | 4.91793i | 0.418428 | + | 0.663133i | ||||
\(56\) | 2.17215i | 0.290266i | ||||||||
\(57\) | 3.30197 | − | 6.78948i | 0.437357 | − | 0.899288i | ||||
\(58\) | −4.01707 | − | 4.01707i | −0.527467 | − | 0.527467i | ||||
\(59\) | −0.302793 | + | 1.71723i | −0.0394203 | + | 0.223564i | −0.998153 | − | 0.0607440i | \(-0.980653\pi\) |
0.958733 | + | 0.284308i | \(0.0917638\pi\) | |||||||
\(60\) | 1.20745 | − | 3.67996i | 0.155880 | − | 0.475080i | ||||
\(61\) | −6.68929 | − | 2.43470i | −0.856476 | − | 0.311732i | −0.123798 | − | 0.992307i | \(-0.539508\pi\) |
−0.732678 | + | 0.680576i | \(0.761730\pi\) | |||||||
\(62\) | 8.07653 | + | 3.76615i | 1.02572 | + | 0.478301i | ||||
\(63\) | −4.67436 | + | 4.54031i | −0.588914 | + | 0.572025i | ||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | −5.45260 | − | 3.50705i | −0.676312 | − | 0.434996i | ||||
\(66\) | 3.70845 | − | 2.55669i | 0.456479 | − | 0.314707i | ||||
\(67\) | −1.51120 | − | 1.05816i | −0.184623 | − | 0.129274i | 0.477611 | − | 0.878571i | \(-0.341503\pi\) |
−0.662234 | + | 0.749297i | \(0.730392\pi\) | |||||||
\(68\) | −0.606808 | − | 2.26464i | −0.0735863 | − | 0.274628i | ||||
\(69\) | −6.35555 | + | 8.93761i | −0.765119 | + | 1.07596i | ||||
\(70\) | −4.81272 | − | 0.654868i | −0.575230 | − | 0.0782717i | ||||
\(71\) | −4.61510 | − | 12.6799i | −0.547711 | − | 1.50482i | −0.836792 | − | 0.547520i | \(-0.815572\pi\) |
0.289081 | − | 0.957305i | \(-0.406650\pi\) | |||||||
\(72\) | −2.88618 | − | 0.818526i | −0.340139 | − | 0.0964642i | ||||
\(73\) | 1.25518 | + | 14.3468i | 0.146908 | + | 1.67917i | 0.609647 | + | 0.792673i | \(0.291311\pi\) |
−0.462739 | + | 0.886495i | \(0.653133\pi\) | |||||||
\(74\) | −2.09581 | + | 11.8859i | −0.243633 | + | 1.38171i | ||||
\(75\) | 7.78947 | + | 3.78472i | 0.899451 | + | 0.437022i | ||||
\(76\) | −1.09001 | − | 4.22041i | −0.125033 | − | 0.484115i | ||||
\(77\) | −3.99436 | − | 3.99436i | −0.455200 | − | 0.455200i | ||||
\(78\) | −2.54245 | + | 4.33060i | −0.287876 | + | 0.490344i | ||||
\(79\) | 7.19735 | − | 8.57747i | 0.809765 | − | 0.965040i | −0.190095 | − | 0.981766i | \(-0.560880\pi\) |
0.999860 | + | 0.0167253i | \(0.00532409\pi\) | |||||||
\(80\) | −0.846732 | − | 2.06955i | −0.0946676 | − | 0.231383i | ||||
\(81\) | −4.27137 | − | 7.92183i | −0.474597 | − | 0.880203i | ||||
\(82\) | −0.439185 | + | 5.01990i | −0.0484998 | + | 0.554356i | ||||
\(83\) | 6.93717 | + | 1.85881i | 0.761454 | + | 0.204031i | 0.618593 | − | 0.785712i | \(-0.287703\pi\) |
0.142861 | + | 0.989743i | \(0.454370\pi\) | |||||||
\(84\) | −0.355155 | + | 3.74547i | −0.0387505 | + | 0.408664i | ||||
\(85\) | 5.20059 | − | 0.661722i | 0.564083 | − | 0.0717739i | ||||
\(86\) | 7.68159 | − | 1.35447i | 0.828327 | − | 0.146056i | ||||
\(87\) | −6.26990 | − | 7.58351i | −0.672203 | − | 0.813038i | ||||
\(88\) | 0.673084 | − | 2.51198i | 0.0717510 | − | 0.267778i | ||||
\(89\) | 0.349266 | − | 0.293069i | 0.0370221 | − | 0.0310652i | −0.624089 | − | 0.781353i | \(-0.714530\pi\) |
0.661111 | + | 0.750288i | \(0.270085\pi\) | |||||||
\(90\) | 2.68370 | − | 6.14799i | 0.282887 | − | 0.648055i | ||||
\(91\) | 5.91796 | + | 2.15396i | 0.620370 | + | 0.225796i | ||||
\(92\) | 0.551850 | + | 6.30767i | 0.0575343 | + | 0.657621i | ||||
\(93\) | 13.3107 | + | 7.81457i | 1.38026 | + | 0.810333i | ||||
\(94\) | − | 3.24499i | − | 0.334695i | ||||||
\(95\) | 9.67958 | − | 1.14269i | 0.993104 | − | 0.117238i | ||||
\(96\) | −1.57505 | + | 0.720560i | −0.160753 | + | 0.0735418i | ||||
\(97\) | −1.74306 | − | 2.48935i | −0.176981 | − | 0.252755i | 0.720854 | − | 0.693087i | \(-0.243750\pi\) |
−0.897835 | + | 0.440331i | \(0.854861\pi\) | |||||||
\(98\) | −2.27309 | + | 0.198869i | −0.229617 | + | 0.0200888i | ||||
\(99\) | 6.81258 | − | 3.80220i | 0.684690 | − | 0.382136i | ||||
\(100\) | 4.84068 | − | 1.25213i | 0.484068 | − | 0.125213i | ||||
\(101\) | −1.75004 | − | 2.08562i | −0.174136 | − | 0.207527i | 0.671917 | − | 0.740627i | \(-0.265471\pi\) |
−0.846052 | + | 0.533100i | \(0.821027\pi\) | |||||||
\(102\) | −0.676052 | − | 4.00417i | −0.0669391 | − | 0.396472i | ||||
\(103\) | 0.0720466 | − | 0.0193048i | 0.00709897 | − | 0.00190216i | −0.255268 | − | 0.966870i | \(-0.582164\pi\) |
0.262367 | + | 0.964968i | \(0.415497\pi\) | |||||||
\(104\) | 0.503462 | + | 2.85527i | 0.0493685 | + | 0.279983i | ||||
\(105\) | −8.19158 | − | 1.91610i | −0.799417 | − | 0.186992i | ||||
\(106\) | −4.03233 | + | 6.98420i | −0.391655 | + | 0.678366i | ||||
\(107\) | −3.00016 | + | 11.1967i | −0.290036 | + | 1.08243i | 0.655044 | + | 0.755591i | \(0.272650\pi\) |
−0.945080 | + | 0.326839i | \(0.894016\pi\) | |||||||
\(108\) | −4.84285 | − | 1.88330i | −0.466003 | − | 0.181221i | ||||
\(109\) | 6.96202 | + | 19.1280i | 0.666841 | + | 1.83213i | 0.542819 | + | 0.839850i | \(0.317357\pi\) |
0.124022 | + | 0.992279i | \(0.460421\pi\) | |||||||
\(110\) | 5.36275 | + | 2.24864i | 0.511318 | + | 0.214400i | ||||
\(111\) | −5.55724 | + | 20.1525i | −0.527470 | + | 1.91279i | ||||
\(112\) | 1.24589 | + | 1.77932i | 0.117726 | + | 0.168130i | ||||
\(113\) | −2.83693 | + | 2.83693i | −0.266876 | + | 0.266876i | −0.827840 | − | 0.560964i | \(-0.810430\pi\) |
0.560964 | + | 0.827840i | \(0.310430\pi\) | |||||||
\(114\) | −1.18947 | − | 7.45555i | −0.111404 | − | 0.698276i | ||||
\(115\) | −14.1420 | − | 0.678956i | −1.31875 | − | 0.0633130i | ||||
\(116\) | −5.59469 | − | 0.986495i | −0.519454 | − | 0.0915938i | ||||
\(117\) | −5.09206 | + | 7.05163i | −0.470761 | + | 0.651924i | ||||
\(118\) | 0.736927 | + | 1.58034i | 0.0678396 | + | 0.145482i | ||||
\(119\) | −4.78553 | + | 1.74179i | −0.438689 | + | 0.159670i | ||||
\(120\) | −1.12166 | − | 3.70701i | −0.102393 | − | 0.338402i | ||||
\(121\) | −2.11845 | − | 3.66926i | −0.192586 | − | 0.333569i | ||||
\(122\) | −6.87603 | + | 1.84243i | −0.622527 | + | 0.166806i | ||||
\(123\) | −1.57807 | + | 8.58409i | −0.142289 | + | 0.774002i | ||||
\(124\) | 8.77608 | − | 1.54746i | 0.788115 | − | 0.138966i | ||||
\(125\) | 1.31489 | + | 11.1028i | 0.117607 | + | 0.993060i | ||||
\(126\) | −1.22480 | + | 6.40031i | −0.109114 | + | 0.570185i | ||||
\(127\) | 0.310136 | − | 3.54487i | 0.0275201 | − | 0.314556i | −0.969941 | − | 0.243341i | \(-0.921757\pi\) |
0.997461 | − | 0.0712153i | \(-0.0226877\pi\) | |||||||
\(128\) | −0.422618 | + | 0.906308i | −0.0373545 | + | 0.0801070i | ||||
\(129\) | 13.4669 | − | 1.07957i | 1.18570 | − | 0.0950506i | ||||
\(130\) | −6.47807 | + | 0.254676i | −0.568165 | + | 0.0223366i | ||||
\(131\) | 9.36795 | + | 1.65182i | 0.818482 | + | 0.144320i | 0.567186 | − | 0.823590i | \(-0.308032\pi\) |
0.251296 | + | 0.967910i | \(0.419143\pi\) | |||||||
\(132\) | 1.57133 | − | 4.22140i | 0.136767 | − | 0.367426i | ||||
\(133\) | −8.92612 | + | 3.15764i | −0.773993 | + | 0.273802i | ||||
\(134\) | −1.84484 | −0.159370 | ||||||||
\(135\) | 5.63277 | − | 10.1623i | 0.484792 | − | 0.874630i | ||||
\(136\) | −1.79601 | − | 1.50703i | −0.154007 | − | 0.129227i | ||||
\(137\) | −0.542028 | − | 1.16238i | −0.0463086 | − | 0.0993090i | 0.881792 | − | 0.471638i | \(-0.156337\pi\) |
−0.928101 | + | 0.372329i | \(0.878559\pi\) | |||||||
\(138\) | −0.0797648 | + | 10.9667i | −0.00679003 | + | 0.933544i | ||||
\(139\) | −6.74939 | − | 8.04362i | −0.572476 | − | 0.682251i | 0.399661 | − | 0.916663i | \(-0.369128\pi\) |
−0.972137 | + | 0.234412i | \(0.924683\pi\) | |||||||
\(140\) | −4.31797 | + | 2.22403i | −0.364935 | + | 0.187965i | ||||
\(141\) | 0.530568 | − | 5.59539i | 0.0446819 | − | 0.471217i | ||||
\(142\) | −11.0533 | − | 7.73964i | −0.927576 | − | 0.649496i | ||||
\(143\) | −6.17638 | − | 4.32475i | −0.516495 | − | 0.361653i | ||||
\(144\) | −2.83370 | + | 0.984946i | −0.236142 | + | 0.0820788i | ||||
\(145\) | 3.87244 | − | 12.0985i | 0.321588 | − | 1.00472i | ||||
\(146\) | 9.25718 | + | 11.0323i | 0.766130 | + | 0.913038i | ||||
\(147\) | −3.95204 | − | 0.0287447i | −0.325959 | − | 0.00237083i | ||||
\(148\) | 5.10071 | + | 10.9385i | 0.419276 | + | 0.899139i | ||||
\(149\) | 8.91219 | + | 7.47821i | 0.730115 | + | 0.612639i | 0.930163 | − | 0.367147i | \(-0.119665\pi\) |
−0.200048 | + | 0.979786i | \(0.564110\pi\) | |||||||
\(150\) | 8.55159 | − | 1.36759i | 0.698234 | − | 0.111663i | ||||
\(151\) | 8.65440 | 0.704285 | 0.352143 | − | 0.935946i | \(-0.385453\pi\) | ||||
0.352143 | + | 0.935946i | \(0.385453\pi\) | |||||||
\(152\) | −3.31361 | − | 2.83196i | −0.268769 | − | 0.229702i | ||||
\(153\) | −0.511031 | − | 7.01499i | −0.0413144 | − | 0.567128i | ||||
\(154\) | −5.56306 | − | 0.980918i | −0.448284 | − | 0.0790446i | ||||
\(155\) | 0.782782 | + | 19.9113i | 0.0628746 | + | 1.59931i | ||||
\(156\) | 0.401279 | + | 5.00571i | 0.0321281 | + | 0.400778i | ||||
\(157\) | 4.23003 | − | 9.07132i | 0.337593 | − | 0.723970i | −0.662083 | − | 0.749431i | \(-0.730327\pi\) |
0.999676 | + | 0.0254602i | \(0.00810512\pi\) | |||||||
\(158\) | 0.975890 | − | 11.1545i | 0.0776377 | − | 0.887403i | ||||
\(159\) | −8.09496 | + | 11.3837i | −0.641972 | + | 0.902784i | ||||
\(160\) | −1.88065 | − | 1.20961i | −0.148678 | − | 0.0956282i | ||||
\(161\) | 13.5446 | − | 2.38828i | 1.06746 | − | 0.188223i | ||||
\(162\) | −8.04268 | − | 4.03923i | −0.631892 | − | 0.317352i | ||||
\(163\) | −1.44712 | + | 0.387755i | −0.113347 | + | 0.0303714i | −0.315047 | − | 0.949076i | \(-0.602020\pi\) |
0.201699 | + | 0.979447i | \(0.435354\pi\) | |||||||
\(164\) | 2.51954 | + | 4.36397i | 0.196743 | + | 0.340769i | ||||
\(165\) | 8.87942 | + | 4.75420i | 0.691262 | + | 0.370114i | ||||
\(166\) | 6.74877 | − | 2.45635i | 0.523806 | − | 0.190650i | ||||
\(167\) | −7.77903 | − | 16.6822i | −0.601960 | − | 1.29091i | −0.937206 | − | 0.348776i | \(-0.886597\pi\) |
0.335247 | − | 0.942130i | \(-0.391180\pi\) | |||||||
\(168\) | 1.85739 | + | 3.27182i | 0.143301 | + | 0.252426i | ||||
\(169\) | −4.52414 | − | 0.797729i | −0.348011 | − | 0.0613638i | ||||
\(170\) | 3.88053 | − | 3.52499i | 0.297623 | − | 0.270354i | ||||
\(171\) | −0.832005 | − | 13.0502i | −0.0636250 | − | 0.997974i | ||||
\(172\) | 5.51550 | − | 5.51550i | 0.420553 | − | 0.420553i | ||||
\(173\) | −6.94584 | − | 9.91968i | −0.528082 | − | 0.754179i | 0.463154 | − | 0.886278i | \(-0.346718\pi\) |
−0.991237 | + | 0.132098i | \(0.957829\pi\) | |||||||
\(174\) | −9.48572 | − | 2.61578i | −0.719111 | − | 0.198302i | ||||
\(175\) | −3.62587 | − | 10.2376i | −0.274090 | − | 0.773891i | ||||
\(176\) | −0.889456 | − | 2.44376i | −0.0670453 | − | 0.184205i | ||||
\(177\) | 1.01230 | + | 2.84550i | 0.0760893 | + | 0.213881i | ||||
\(178\) | 0.118004 | − | 0.440398i | 0.00884480 | − | 0.0330093i | ||||
\(179\) | 6.75938 | − | 11.7076i | 0.505220 | − | 0.875066i | −0.494762 | − | 0.869028i | \(-0.664745\pi\) |
0.999982 | − | 0.00603755i | \(-0.00192183\pi\) | |||||||
\(180\) | −1.32798 | − | 6.57544i | −0.0989817 | − | 0.490105i | ||||
\(181\) | 2.66125 | + | 15.0927i | 0.197809 | + | 1.12183i | 0.908362 | + | 0.418186i | \(0.137334\pi\) |
−0.710553 | + | 0.703644i | \(0.751555\pi\) | |||||||
\(182\) | 6.08317 | − | 1.62998i | 0.450914 | − | 0.120822i | ||||
\(183\) | −12.1577 | + | 2.05267i | −0.898723 | + | 0.151738i | ||||
\(184\) | 4.06998 | + | 4.85042i | 0.300043 | + | 0.357577i | ||||
\(185\) | −25.7737 | + | 8.00360i | −1.89492 | + | 0.588437i | ||||
\(186\) | 15.3857 | − | 1.23339i | 1.12814 | − | 0.0904363i | ||||
\(187\) | 6.07396 | − | 0.531403i | 0.444172 | − | 0.0388600i | ||||
\(188\) | −1.86125 | − | 2.65814i | −0.135746 | − | 0.193865i | ||||
\(189\) | −3.15841 | + | 10.8359i | −0.229741 | + | 0.788195i | ||||
\(190\) | 7.27363 | − | 6.48802i | 0.527684 | − | 0.470690i | ||||
\(191\) | 1.19747i | 0.0866457i | 0.999061 | + | 0.0433229i | \(0.0137944\pi\) | ||||
−0.999061 | + | 0.0433229i | \(0.986206\pi\) | |||||||
\(192\) | −0.876912 | + | 1.49366i | −0.0632857 | + | 0.107796i | ||||
\(193\) | 0.572119 | + | 6.53935i | 0.0411821 | + | 0.470713i | 0.988584 | + | 0.150668i | \(0.0481425\pi\) |
−0.947402 | + | 0.320045i | \(0.896302\pi\) | |||||||
\(194\) | −2.85567 | − | 1.03938i | −0.205025 | − | 0.0746230i | ||||
\(195\) | −11.2119 | − | 0.620048i | −0.802900 | − | 0.0444025i | ||||
\(196\) | −1.74794 | + | 1.46669i | −0.124853 | + | 0.104764i | ||||
\(197\) | 5.46802 | − | 20.4069i | 0.389580 | − | 1.45393i | −0.441238 | − | 0.897390i | \(-0.645461\pi\) |
0.830818 | − | 0.556544i | \(-0.187873\pi\) | |||||||
\(198\) | 3.39968 | − | 7.02211i | 0.241605 | − | 0.499040i | ||||
\(199\) | −5.51687 | + | 0.972773i | −0.391080 | + | 0.0689580i | −0.365731 | − | 0.930721i | \(-0.619181\pi\) |
−0.0253495 | + | 0.999679i | \(0.508070\pi\) | |||||||
\(200\) | 3.24706 | − | 3.80218i | 0.229602 | − | 0.268855i | ||||
\(201\) | −3.18108 | − | 0.301638i | −0.224376 | − | 0.0212759i | ||||
\(202\) | −2.62981 | − | 0.704656i | −0.185033 | − | 0.0495794i | ||||
\(203\) | −1.07550 | + | 12.2930i | −0.0754853 | + | 0.862800i | ||||
\(204\) | −2.85049 | − | 2.89225i | −0.199574 | − | 0.202498i | ||||
\(205\) | −10.4286 | + | 4.26675i | −0.728367 | + | 0.298003i | ||||
\(206\) | 0.0479444 | − | 0.0571379i | 0.00334044 | − | 0.00398098i | ||||
\(207\) | −1.93063 | + | 18.8969i | −0.134188 | + | 1.31343i | ||||
\(208\) | 2.05013 | + | 2.05013i | 0.142151 | + | 0.142151i | ||||
\(209\) | 11.3011 | − | 0.885716i | 0.781712 | − | 0.0612662i | ||||
\(210\) | −7.80918 | + | 3.12892i | −0.538885 | + | 0.215916i | ||||
\(211\) | −2.27631 | + | 12.9096i | −0.156707 | + | 0.888732i | 0.800501 | + | 0.599332i | \(0.204567\pi\) |
−0.957208 | + | 0.289400i | \(0.906544\pi\) | |||||||
\(212\) | 0.702882 | + | 8.03397i | 0.0482741 | + | 0.551776i | ||||
\(213\) | −17.7940 | − | 15.1528i | −1.21923 | − | 1.03826i | ||||
\(214\) | 3.96460 | + | 10.8927i | 0.271015 | + | 0.744607i | ||||
\(215\) | 10.5576 | + | 13.8832i | 0.720021 | + | 0.946829i | ||||
\(216\) | −5.04725 | + | 1.23504i | −0.343422 | + | 0.0840336i | ||||
\(217\) | −5.00997 | − | 18.6974i | −0.340099 | − | 1.26927i | ||||
\(218\) | 16.6743 | + | 11.6755i | 1.12933 | + | 0.790764i | ||||
\(219\) | 14.1585 | + | 20.5367i | 0.956742 | + | 1.38774i | ||||
\(220\) | 5.68268 | − | 1.23397i | 0.383126 | − | 0.0831942i | ||||
\(221\) | −5.88684 | + | 3.39877i | −0.395991 | + | 0.228626i | ||||
\(222\) | 7.00675 | + | 19.6954i | 0.470262 | + | 1.32187i | ||||
\(223\) | 6.33554 | + | 2.95431i | 0.424259 | + | 0.197835i | 0.623008 | − | 0.782215i | \(-0.285910\pi\) |
−0.198749 | + | 0.980050i | \(0.563688\pi\) | |||||||
\(224\) | 2.04115 | + | 0.742919i | 0.136380 | + | 0.0496383i | ||||
\(225\) | 14.9693 | − | 0.959945i | 0.997950 | − | 0.0639963i | ||||
\(226\) | −0.696680 | + | 3.95107i | −0.0463425 | + | 0.262821i | ||||
\(227\) | −1.54386 | − | 1.54386i | −0.102470 | − | 0.102470i | 0.654013 | − | 0.756483i | \(-0.273084\pi\) |
−0.756483 | + | 0.654013i | \(0.773084\pi\) | |||||||
\(228\) | −5.25068 | − | 5.42498i | −0.347735 | − | 0.359278i | ||||
\(229\) | − | 13.7017i | − | 0.905435i | −0.891654 | − | 0.452718i | \(-0.850455\pi\) | ||
0.891654 | − | 0.452718i | \(-0.149545\pi\) | |||||||
\(230\) | −11.9739 | + | 7.55534i | −0.789533 | + | 0.498184i | ||||
\(231\) | −9.43210 | − | 2.60099i | −0.620586 | − | 0.171133i | ||||
\(232\) | −5.14873 | + | 2.40089i | −0.338031 | + | 0.157626i | ||||
\(233\) | 9.31497 | − | 19.9760i | 0.610244 | − | 1.30867i | −0.321965 | − | 0.946752i | \(-0.604343\pi\) |
0.932209 | − | 0.361920i | \(-0.117879\pi\) | |||||||
\(234\) | −0.126521 | + | 8.69704i | −0.00827092 | + | 0.568543i | ||||
\(235\) | 6.45065 | − | 3.32249i | 0.420794 | − | 0.216736i | ||||
\(236\) | 1.51010 | + | 0.871859i | 0.0982993 | + | 0.0567532i | ||||
\(237\) | 3.50654 | − | 19.0743i | 0.227774 | − | 1.23901i | ||||
\(238\) | −2.92103 | + | 4.17166i | −0.189342 | + | 0.270409i | ||||
\(239\) | 10.8475 | − | 18.7884i | 0.701667 | − | 1.21532i | −0.266214 | − | 0.963914i | \(-0.585773\pi\) |
0.967881 | − | 0.251409i | \(-0.0808939\pi\) | |||||||
\(240\) | −3.04506 | − | 2.39325i | −0.196558 | − | 0.154483i | ||||
\(241\) | −15.8632 | + | 13.3108i | −1.02184 | + | 0.857422i | −0.989857 | − | 0.142066i | \(-0.954625\pi\) |
−0.0319788 | + | 0.999489i | \(0.510181\pi\) | |||||||
\(242\) | −3.83993 | − | 1.79059i | −0.246840 | − | 0.115104i | ||||
\(243\) | −13.2077 | − | 8.27991i | −0.847274 | − | 0.531157i | ||||
\(244\) | −4.57574 | + | 5.45316i | −0.292932 | + | 0.349103i | ||||
\(245\) | −2.72271 | − | 4.31500i | −0.173947 | − | 0.275675i | ||||
\(246\) | 3.63096 | + | 7.93682i | 0.231501 | + | 0.506033i | ||||
\(247\) | −11.0014 | + | 6.21960i | −0.700005 | + | 0.395743i | ||||
\(248\) | 6.30136 | − | 6.30136i | 0.400136 | − | 0.400136i | ||||
\(249\) | 12.0386 | − | 3.13208i | 0.762918 | − | 0.198487i | ||||
\(250\) | 7.44537 | + | 8.34065i | 0.470886 | + | 0.527509i | ||||
\(251\) | −0.782708 | + | 2.15047i | −0.0494041 | + | 0.135737i | −0.961941 | − | 0.273259i | \(-0.911899\pi\) |
0.912537 | + | 0.408995i | \(0.134121\pi\) | |||||||
\(252\) | 2.66777 | + | 5.94534i | 0.168054 | + | 0.374521i | ||||
\(253\) | −16.4037 | − | 1.43514i | −1.03129 | − | 0.0902264i | ||||
\(254\) | −1.77920 | − | 3.08167i | −0.111637 | − | 0.193361i | ||||
\(255\) | 7.26760 | − | 5.44371i | 0.455115 | − | 0.340898i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 3.28170 | − | 4.68676i | 0.204707 | − | 0.292352i | −0.703651 | − | 0.710546i | \(-0.748448\pi\) |
0.908358 | + | 0.418194i | \(0.137337\pi\) | |||||||
\(258\) | 10.4123 | − | 8.60865i | 0.648239 | − | 0.535951i | ||||
\(259\) | 22.7040 | − | 13.1082i | 1.41076 | − | 0.814501i | ||||
\(260\) | −5.16045 | + | 3.92429i | −0.320038 | + | 0.243374i | ||||
\(261\) | −15.9287 | − | 6.06139i | −0.985961 | − | 0.375190i | ||||
\(262\) | 8.62122 | − | 4.02014i | 0.532621 | − | 0.248365i | ||||
\(263\) | −9.02087 | + | 0.789224i | −0.556250 | + | 0.0486656i | −0.361815 | − | 0.932250i | \(-0.617843\pi\) |
−0.194435 | + | 0.980915i | \(0.562287\pi\) | |||||||
\(264\) | −1.13414 | − | 4.35925i | −0.0698015 | − | 0.268293i | ||||
\(265\) | −18.0124 | − | 0.864774i | −1.10649 | − | 0.0531227i | ||||
\(266\) | −5.50070 | + | 7.70640i | −0.337270 | + | 0.472510i | ||||
\(267\) | 0.275484 | − | 0.740092i | 0.0168593 | − | 0.0452929i | ||||
\(268\) | −1.51120 | + | 1.05816i | −0.0923114 | + | 0.0646371i | ||||
\(269\) | −4.39791 | − | 3.69028i | −0.268145 | − | 0.225001i | 0.498794 | − | 0.866721i | \(-0.333777\pi\) |
−0.766939 | + | 0.641720i | \(0.778221\pi\) | |||||||
\(270\) | −1.21474 | − | 11.5553i | −0.0739270 | − | 0.703232i | ||||
\(271\) | 24.1237 | − | 8.78030i | 1.46541 | − | 0.533365i | 0.518560 | − | 0.855041i | \(-0.326468\pi\) |
0.946850 | + | 0.321676i | \(0.104246\pi\) | |||||||
\(272\) | −2.33560 | − | 0.204339i | −0.141617 | − | 0.0123899i | ||||
\(273\) | 10.7558 | − | 1.81598i | 0.650971 | − | 0.109908i | ||||
\(274\) | −1.11072 | − | 0.641274i | −0.0671010 | − | 0.0387408i | ||||
\(275\) | 1.02081 | + | 12.9629i | 0.0615571 | + | 0.781689i | ||||
\(276\) | 6.22488 | + | 9.02911i | 0.374693 | + | 0.543489i | ||||
\(277\) | 2.21816 | + | 8.27827i | 0.133276 | + | 0.497393i | 0.999999 | − | 0.00139686i | \(-0.000444636\pi\) |
−0.866723 | + | 0.498790i | \(0.833778\pi\) | |||||||
\(278\) | −10.1424 | − | 2.71765i | −0.608301 | − | 0.162994i | ||||
\(279\) | 26.7316 | + | 0.388879i | 1.60038 | + | 0.0232816i | ||||
\(280\) | −2.26142 | + | 4.29850i | −0.135146 | + | 0.256885i | ||||
\(281\) | 3.98212 | − | 10.9408i | 0.237553 | − | 0.652672i | −0.762431 | − | 0.647069i | \(-0.775994\pi\) |
0.999984 | − | 0.00560262i | \(-0.00178338\pi\) | |||||||
\(282\) | −2.77477 | − | 4.88780i | −0.165235 | − | 0.291064i | ||||
\(283\) | 8.51244 | − | 5.96047i | 0.506012 | − | 0.354313i | −0.292526 | − | 0.956257i | \(-0.594496\pi\) |
0.798538 | + | 0.601944i | \(0.205607\pi\) | |||||||
\(284\) | −13.4936 | −0.800701 | ||||||||
\(285\) | 13.6028 | − | 9.99813i | 0.805763 | − | 0.592238i | ||||
\(286\) | −7.53996 | −0.445847 | ||||||||
\(287\) | 8.96613 | − | 6.27815i | 0.529254 | − | 0.370588i | ||||
\(288\) | −1.75629 | + | 2.43217i | −0.103491 | + | 0.143317i | ||||
\(289\) | −3.93433 | + | 10.8095i | −0.231431 | + | 0.635851i | ||||
\(290\) | −3.76728 | − | 12.1316i | −0.221222 | − | 0.712393i | ||||
\(291\) | −4.75413 | − | 2.25913i | −0.278692 | − | 0.132432i | ||||
\(292\) | 13.9109 | + | 3.72741i | 0.814073 | + | 0.218130i | ||||
\(293\) | −5.89850 | − | 22.0135i | −0.344594 | − | 1.28604i | −0.893086 | − | 0.449887i | \(-0.851464\pi\) |
0.548491 | − | 0.836156i | \(-0.315202\pi\) | |||||||
\(294\) | −3.25381 | + | 2.24325i | −0.189766 | + | 0.130829i | ||||
\(295\) | −2.38701 | + | 3.08301i | −0.138977 | + | 0.179500i | ||||
\(296\) | 10.4523 | + | 6.03465i | 0.607529 | + | 0.350757i | ||||
\(297\) | 7.01027 | − | 11.5525i | 0.406777 | − | 0.670343i | ||||
\(298\) | 11.5898 | + | 1.01397i | 0.671377 | + | 0.0587379i | ||||
\(299\) | 17.2507 | − | 6.27875i | 0.997635 | − | 0.363109i | ||||
\(300\) | 6.22063 | − | 6.02526i | 0.359148 | − | 0.347868i | ||||
\(301\) | −12.9791 | − | 10.8907i | −0.748100 | − | 0.627731i | ||||
\(302\) | 7.08927 | − | 4.96396i | 0.407942 | − | 0.285644i | ||||
\(303\) | −4.41941 | − | 1.64503i | −0.253889 | − | 0.0945047i | ||||
\(304\) | −4.33870 | − | 0.419193i | −0.248841 | − | 0.0240424i | ||||
\(305\) | −10.7028 | − | 11.7823i | −0.612839 | − | 0.674652i | ||||
\(306\) | −4.44224 | − | 5.45323i | −0.253946 | − | 0.311740i | ||||
\(307\) | −8.32684 | + | 0.728504i | −0.475238 | + | 0.0415779i | −0.322259 | − | 0.946652i | \(-0.604442\pi\) |
−0.152979 | + | 0.988229i | \(0.548887\pi\) | |||||||
\(308\) | −5.11963 | + | 2.38732i | −0.291718 | + | 0.136030i | ||||
\(309\) | 0.0920135 | − | 0.0906846i | 0.00523446 | − | 0.00515887i | ||||
\(310\) | 12.0618 | + | 15.8614i | 0.685067 | + | 0.900865i | ||||
\(311\) | 23.7604 | − | 13.7181i | 1.34733 | − | 0.777879i | 0.359457 | − | 0.933162i | \(-0.382962\pi\) |
0.987870 | + | 0.155282i | \(0.0496287\pi\) | |||||||
\(312\) | 3.19987 | + | 3.87028i | 0.181157 | + | 0.219111i | ||||
\(313\) | 8.25681 | − | 11.7919i | 0.466702 | − | 0.666520i | −0.514946 | − | 0.857223i | \(-0.672188\pi\) |
0.981648 | + | 0.190703i | \(0.0610768\pi\) | |||||||
\(314\) | −1.73806 | − | 9.85704i | −0.0980845 | − | 0.556265i | ||||
\(315\) | −13.9771 | + | 4.11842i | −0.787520 | + | 0.232047i | ||||
\(316\) | −5.59854 | − | 9.69696i | −0.314943 | − | 0.545497i | ||||
\(317\) | −27.7630 | − | 2.42894i | −1.55932 | − | 0.136423i | −0.725409 | − | 0.688318i | \(-0.758350\pi\) |
−0.833914 | + | 0.551894i | \(0.813905\pi\) | |||||||
\(318\) | −0.101595 | + | 13.9680i | −0.00569717 | + | 0.783288i | ||||
\(319\) | 5.05300 | − | 13.8830i | 0.282914 | − | 0.777299i | ||||
\(320\) | −2.23434 | + | 0.0878399i | −0.124904 | + | 0.00491040i | ||||
\(321\) | 5.05524 | + | 19.4306i | 0.282156 | + | 1.08451i | ||||
\(322\) | 9.72522 | − | 9.72522i | 0.541966 | − | 0.541966i | ||||
\(323\) | 3.58208 | − | 9.57121i | 0.199312 | − | 0.532556i | ||||
\(324\) | −8.90498 | + | 1.30435i | −0.494721 | + | 0.0724638i | ||||
\(325\) | −7.13906 | − | 12.6169i | −0.396004 | − | 0.699858i | ||||
\(326\) | −0.963006 | + | 1.14767i | −0.0533360 | + | 0.0635634i | ||||
\(327\) | 26.8428 | + | 22.8585i | 1.48441 | + | 1.26408i | ||||
\(328\) | 4.56696 | + | 2.12961i | 0.252168 | + | 0.117588i | ||||
\(329\) | −5.39954 | + | 4.53075i | −0.297686 | + | 0.249788i | ||||
\(330\) | 10.0005 | − | 1.19861i | 0.550509 | − | 0.0659816i | ||||
\(331\) | 12.1854 | − | 21.1057i | 0.669769 | − | 1.16007i | −0.308200 | − | 0.951322i | \(-0.599727\pi\) |
0.977969 | − | 0.208752i | \(-0.0669401\pi\) | |||||||
\(332\) | 4.11936 | − | 5.88306i | 0.226079 | − | 0.322875i | ||||
\(333\) | 8.86157 | + | 35.1068i | 0.485611 | + | 1.92384i | ||||
\(334\) | −15.9407 | − | 9.20338i | −0.872237 | − | 0.503586i | ||||
\(335\) | −1.88890 | − | 3.66731i | −0.103202 | − | 0.200367i | ||||
\(336\) | 3.39812 | + | 1.61476i | 0.185383 | + | 0.0880925i | ||||
\(337\) | 7.09199 | − | 15.2088i | 0.386325 | − | 0.828477i | −0.612939 | − | 0.790130i | \(-0.710013\pi\) |
0.999264 | − | 0.0383470i | \(-0.0122092\pi\) | |||||||
\(338\) | −4.16352 | + | 1.94148i | −0.226466 | + | 0.105603i | ||||
\(339\) | −1.84731 | + | 6.69898i | −0.100332 | + | 0.363839i | ||||
\(340\) | 1.15689 | − | 5.11328i | 0.0627412 | − | 0.277306i | ||||
\(341\) | 23.1751i | 1.25500i | ||||||||
\(342\) | −8.16683 | − | 10.2129i | −0.441611 | − | 0.552249i | ||||
\(343\) | 14.2563 | + | 14.2563i | 0.769765 | + | 0.769765i | ||||
\(344\) | 1.35447 | − | 7.68159i | 0.0730282 | − | 0.414163i | ||||
\(345\) | −21.8821 | + | 11.0700i | −1.17809 | + | 0.595990i | ||||
\(346\) | −11.3794 | − | 4.14176i | −0.611760 | − | 0.222662i | ||||
\(347\) | −7.41555 | − | 3.45793i | −0.398087 | − | 0.185631i | 0.213256 | − | 0.976996i | \(-0.431593\pi\) |
−0.611344 | + | 0.791365i | \(0.709371\pi\) | |||||||
\(348\) | −9.27060 | + | 3.29806i | −0.496956 | + | 0.176795i | ||||
\(349\) | −1.24138 | + | 0.716712i | −0.0664496 | + | 0.0383647i | −0.532857 | − | 0.846205i | \(-0.678882\pi\) |
0.466407 | + | 0.884570i | \(0.345548\pi\) | |||||||
\(350\) | −8.84219 | − | 6.30645i | −0.472635 | − | 0.337094i | ||||
\(351\) | −1.64016 | + | 14.9758i | −0.0875453 | + | 0.799347i | ||||
\(352\) | −2.13028 | − | 1.49164i | −0.113545 | − | 0.0795047i | ||||
\(353\) | −1.91569 | − | 7.14944i | −0.101962 | − | 0.380526i | 0.896021 | − | 0.444011i | \(-0.146445\pi\) |
−0.997983 | + | 0.0634854i | \(0.979778\pi\) | |||||||
\(354\) | 2.46134 | + | 1.75027i | 0.130819 | + | 0.0930257i | ||||
\(355\) | 4.06812 | − | 29.8972i | 0.215913 | − | 1.58678i | ||||
\(356\) | −0.155939 | − | 0.428438i | −0.00826473 | − | 0.0227072i | ||||
\(357\) | −5.71886 | + | 6.71566i | −0.302674 | + | 0.355431i | ||||
\(358\) | −1.17824 | − | 13.4673i | −0.0622718 | − | 0.711770i | ||||
\(359\) | 0.704206 | − | 3.99375i | 0.0371666 | − | 0.210782i | −0.960569 | − | 0.278042i | \(-0.910315\pi\) |
0.997735 | + | 0.0672599i | \(0.0214257\pi\) | |||||||
\(360\) | −4.85934 | − | 4.62459i | −0.256110 | − | 0.243737i | ||||
\(361\) | 6.82053 | − | 17.7336i | 0.358975 | − | 0.933347i | ||||
\(362\) | 10.8368 | + | 10.8368i | 0.569568 | + | 0.569568i | ||||
\(363\) | −6.32849 | − | 3.71539i | −0.332160 | − | 0.195007i | ||||
\(364\) | 4.04812 | − | 4.82436i | 0.212179 | − | 0.252865i | ||||
\(365\) | −12.4526 | + | 29.6979i | −0.651797 | + | 1.55446i | ||||
\(366\) | −8.78164 | + | 8.65482i | −0.459024 | + | 0.452395i | ||||
\(367\) | −0.0269063 | + | 0.307540i | −0.00140450 | + | 0.0160535i | −0.996865 | − | 0.0791262i | \(-0.974787\pi\) |
0.995460 | + | 0.0951797i | \(0.0303426\pi\) | |||||||
\(368\) | 6.11602 | + | 1.63878i | 0.318820 | + | 0.0854274i | ||||
\(369\) | 4.96322 | + | 14.2793i | 0.258375 | + | 0.743349i | ||||
\(370\) | −16.5219 | + | 21.3393i | −0.858932 | + | 1.10938i | ||||
\(371\) | 17.2515 | − | 3.04191i | 0.895654 | − | 0.157928i | ||||
\(372\) | 11.8958 | − | 9.83523i | 0.616770 | − | 0.509933i | ||||
\(373\) | 6.84410 | − | 25.5425i | 0.354374 | − | 1.32254i | −0.526896 | − | 0.849930i | \(-0.676644\pi\) |
0.881270 | − | 0.472612i | \(-0.156689\pi\) | |||||||
\(374\) | 4.67070 | − | 3.91918i | 0.241516 | − | 0.202656i | ||||
\(375\) | 11.4744 | + | 15.5993i | 0.592538 | + | 0.805543i | ||||
\(376\) | −3.04929 | − | 1.10985i | −0.157255 | − | 0.0572362i | ||||
\(377\) | 1.43555 | + | 16.4084i | 0.0739344 | + | 0.845074i | ||||
\(378\) | 3.62799 | + | 10.6878i | 0.186604 | + | 0.549723i | ||||
\(379\) | 26.2505i | 1.34840i | 0.738549 | + | 0.674200i | \(0.235511\pi\) | ||||
−0.738549 | + | 0.674200i | \(0.764489\pi\) | |||||||
\(380\) | 2.23683 | − | 9.48665i | 0.114747 | − | 0.486655i | ||||
\(381\) | −2.56404 | − | 5.60468i | −0.131360 | − | 0.287137i | ||||
\(382\) | 0.686839 | + | 0.980908i | 0.0351418 | + | 0.0501876i | ||||
\(383\) | −19.0517 | + | 1.66681i | −0.973497 | + | 0.0851699i | −0.562792 | − | 0.826598i | \(-0.690273\pi\) |
−0.410705 | + | 0.911768i | \(0.634717\pi\) | |||||||
\(384\) | 0.138405 | + | 1.72651i | 0.00706293 | + | 0.0881057i | ||||
\(385\) | −3.74598 | − | 12.0630i | −0.190913 | − | 0.614789i | ||||
\(386\) | 4.21947 | + | 5.02857i | 0.214766 | + | 0.255948i | ||||
\(387\) | 19.3616 | − | 13.1416i | 0.984204 | − | 0.668025i | ||||
\(388\) | −2.93539 | + | 0.786535i | −0.149022 | + | 0.0399303i | ||||
\(389\) | −6.21080 | − | 35.2232i | −0.314900 | − | 1.78589i | −0.572780 | − | 0.819709i | \(-0.694135\pi\) |
0.257880 | − | 0.966177i | \(-0.416976\pi\) | |||||||
\(390\) | −9.53989 | + | 5.92296i | −0.483071 | + | 0.299921i | ||||
\(391\) | −7.42250 | + | 12.8561i | −0.375372 | + | 0.650163i | ||||
\(392\) | −0.590566 | + | 2.20402i | −0.0298281 | + | 0.111320i | ||||
\(393\) | 15.5230 | − | 5.52239i | 0.783033 | − | 0.278568i | ||||
\(394\) | −7.22580 | − | 19.8527i | −0.364030 | − | 1.00017i | ||||
\(395\) | 23.1729 | − | 9.48094i | 1.16596 | − | 0.477038i | ||||
\(396\) | −1.24286 | − | 7.70216i | −0.0624562 | − | 0.387048i | ||||
\(397\) | −6.03261 | − | 8.61546i | −0.302768 | − | 0.432397i | 0.638722 | − | 0.769437i | \(-0.279463\pi\) |
−0.941490 | + | 0.337040i | \(0.890574\pi\) | |||||||
\(398\) | −3.96119 | + | 3.96119i | −0.198557 | + | 0.198557i | ||||
\(399\) | −10.7450 | + | 12.3889i | −0.537922 | + | 0.620220i | ||||
\(400\) | 0.478996 | − | 4.97700i | 0.0239498 | − | 0.248850i | ||||
\(401\) | −22.0628 | − | 3.89027i | −1.10176 | − | 0.194271i | −0.406943 | − | 0.913453i | \(-0.633405\pi\) |
−0.694821 | + | 0.719182i | \(0.744517\pi\) | |||||||
\(402\) | −2.77880 | + | 1.57751i | −0.138594 | + | 0.0786789i | ||||
\(403\) | −10.9193 | − | 23.4164i | −0.543928 | − | 1.16646i | ||||
\(404\) | −2.55839 | + | 0.931178i | −0.127285 | + | 0.0463278i | ||||
\(405\) | −0.205272 | − | 20.1236i | −0.0102001 | − | 0.999948i | ||||
\(406\) | 6.16999 | + | 10.6867i | 0.306211 | + | 0.530373i | ||||
\(407\) | −30.3179 | + | 8.12365i | −1.50280 | + | 0.402675i | ||||
\(408\) | −3.99391 | − | 0.734225i | −0.197728 | − | 0.0363496i | ||||
\(409\) | −4.54384 | + | 0.801202i | −0.224678 | + | 0.0396169i | −0.284854 | − | 0.958571i | \(-0.591945\pi\) |
0.0601755 | + | 0.998188i | \(0.480834\pi\) | |||||||
\(410\) | −6.09533 | + | 9.47674i | −0.301027 | + | 0.468023i | ||||
\(411\) | −1.81038 | − | 1.28737i | −0.0892994 | − | 0.0635010i | ||||
\(412\) | 0.00650079 | − | 0.0743043i | 0.000320271 | − | 0.00366071i | ||||
\(413\) | 1.60071 | − | 3.43274i | 0.0787660 | − | 0.168914i | ||||
\(414\) | 9.25736 | + | 16.5868i | 0.454974 | + | 0.815198i | ||||
\(415\) | 11.7929 | + | 10.9007i | 0.578890 | + | 0.535095i | ||||
\(416\) | 2.85527 | + | 0.503462i | 0.139991 | + | 0.0246842i | ||||
\(417\) | −17.0444 | − | 6.34441i | −0.834667 | − | 0.310687i | ||||
\(418\) | 8.74928 | − | 7.20757i | 0.427941 | − | 0.352534i | ||||
\(419\) | 2.80237 | 0.136905 | 0.0684523 | − | 0.997654i | \(-0.478194\pi\) | ||||
0.0684523 | + | 0.997654i | \(0.478194\pi\) | |||||||
\(420\) | −4.60223 | + | 7.04222i | −0.224566 | + | 0.343625i | ||||
\(421\) | 2.54127 | + | 2.13238i | 0.123854 | + | 0.103926i | 0.702611 | − | 0.711574i | \(-0.252018\pi\) |
−0.578757 | + | 0.815500i | \(0.696462\pi\) | |||||||
\(422\) | 5.53999 | + | 11.8805i | 0.269682 | + | 0.578336i | ||||
\(423\) | −3.98540 | − | 8.88179i | −0.193777 | − | 0.431847i | ||||
\(424\) | 5.18386 | + | 6.17789i | 0.251751 | + | 0.300025i | ||||
\(425\) | 10.9805 | + | 4.10484i | 0.532630 | + | 0.199114i | ||||
\(426\) | −23.2673 | − | 2.20626i | −1.12730 | − | 0.106894i | ||||
\(427\) | 12.6663 | + | 8.86901i | 0.612963 | + | 0.429201i | ||||
\(428\) | 9.49539 | + | 6.64874i | 0.458977 | + | 0.321379i | ||||
\(429\) | −13.0013 | − | 1.23281i | −0.627708 | − | 0.0595208i | ||||
\(430\) | 16.6114 | + | 5.31691i | 0.801071 | + | 0.256404i | ||||
\(431\) | 23.9311 | + | 28.5199i | 1.15272 | + | 1.37376i | 0.915509 | + | 0.402298i | \(0.131788\pi\) |
0.237210 | + | 0.971458i | \(0.423767\pi\) | |||||||
\(432\) | −3.42607 | + | 3.90666i | −0.164837 | + | 0.187959i | ||||
\(433\) | 15.4653 | + | 33.1655i | 0.743215 | + | 1.59383i | 0.803256 | + | 0.595634i | \(0.203099\pi\) |
−0.0600405 | + | 0.998196i | \(0.519123\pi\) | |||||||
\(434\) | −14.8283 | − | 12.4425i | −0.711783 | − | 0.597257i | ||||
\(435\) | −4.51242 | − | 21.5347i | −0.216354 | − | 1.03251i | ||||
\(436\) | 20.3556 | 0.974856 | ||||||||
\(437\) | −14.0156 | + | 23.7760i | −0.670455 | + | 1.13736i | ||||
\(438\) | 23.3773 | + | 8.70172i | 1.11701 | + | 0.415784i | ||||
\(439\) | −35.6338 | − | 6.28320i | −1.70071 | − | 0.299881i | −0.762766 | − | 0.646674i | \(-0.776159\pi\) |
−0.937942 | + | 0.346793i | \(0.887271\pi\) | |||||||
\(440\) | 3.94720 | − | 4.27026i | 0.188175 | − | 0.203577i | ||||
\(441\) | −5.97737 | + | 3.33606i | −0.284637 | + | 0.158860i | ||||
\(442\) | −2.87276 | + | 6.16066i | −0.136643 | + | 0.293033i | ||||
\(443\) | −0.559720 | + | 6.39763i | −0.0265931 | + | 0.303961i | 0.971237 | + | 0.238116i | \(0.0765298\pi\) |
−0.997830 | + | 0.0658447i | \(0.979026\pi\) | |||||||
\(444\) | 17.0364 | + | 12.1146i | 0.808513 | + | 0.574935i | ||||
\(445\) | 0.996282 | − | 0.216338i | 0.0472283 | − | 0.0102554i | ||||
\(446\) | 6.88429 | − | 1.21389i | 0.325981 | − | 0.0574792i | ||||
\(447\) | 19.8186 | + | 3.64338i | 0.937389 | + | 0.172326i | ||||
\(448\) | 2.09813 | − | 0.562193i | 0.0991275 | − | 0.0265611i | ||||
\(449\) | 2.20685 | + | 3.82237i | 0.104148 | + | 0.180389i | 0.913390 | − | 0.407087i | \(-0.133455\pi\) |
−0.809242 | + | 0.587475i | \(0.800122\pi\) | |||||||
\(450\) | 11.7115 | − | 9.37235i | 0.552085 | − | 0.441817i | ||||
\(451\) | −12.3143 | + | 4.48204i | −0.579858 | + | 0.211051i | ||||
\(452\) | 1.69555 | + | 3.63613i | 0.0797521 | + | 0.171029i | ||||
\(453\) | 13.0358 | − | 7.40032i | 0.612474 | − | 0.347697i | ||||
\(454\) | −2.15018 | − | 0.379135i | −0.100913 | − | 0.0177937i | ||||
\(455\) | 9.46866 | + | 10.4237i | 0.443897 | + | 0.488670i | ||||
\(456\) | −7.41274 | − | 1.43221i | −0.347134 | − | 0.0670696i | ||||
\(457\) | −3.51929 | + | 3.51929i | −0.164625 | + | 0.164625i | −0.784612 | − | 0.619987i | \(-0.787138\pi\) |
0.619987 | + | 0.784612i | \(0.287138\pi\) | |||||||
\(458\) | −7.85899 | − | 11.2238i | −0.367226 | − | 0.524454i | ||||
\(459\) | −6.76821 | − | 10.1294i | −0.315913 | − | 0.472800i | ||||
\(460\) | −5.47485 | + | 13.0569i | −0.255266 | + | 0.608781i | ||||
\(461\) | 13.6328 | + | 37.4557i | 0.634941 | + | 1.74449i | 0.667063 | + | 0.745001i | \(0.267551\pi\) |
−0.0321222 | + | 0.999484i | \(0.510227\pi\) | |||||||
\(462\) | −9.21819 | + | 3.27942i | −0.428869 | + | 0.152572i | ||||
\(463\) | −7.49172 | + | 27.9595i | −0.348170 | + | 1.29939i | 0.540695 | + | 0.841219i | \(0.318161\pi\) |
−0.888865 | + | 0.458169i | \(0.848505\pi\) | |||||||
\(464\) | −2.84050 | + | 4.91989i | −0.131867 | + | 0.228400i | ||||
\(465\) | 18.2050 | + | 29.3222i | 0.844239 | + | 1.35978i | ||||
\(466\) | −3.82739 | − | 21.7062i | −0.177301 | − | 1.00552i | ||||
\(467\) | −27.9290 | + | 7.48354i | −1.29240 | + | 0.346297i | −0.838571 | − | 0.544792i | \(-0.816608\pi\) |
−0.453827 | + | 0.891090i | \(0.649942\pi\) | |||||||
\(468\) | 4.88478 | + | 7.19677i | 0.225799 | + | 0.332671i | ||||
\(469\) | 2.57582 | + | 3.06974i | 0.118940 | + | 0.141747i | ||||
\(470\) | 3.37836 | − | 6.42157i | 0.155832 | − | 0.296205i | ||||
\(471\) | −1.38530 | − | 17.2808i | −0.0638315 | − | 0.796259i | ||||
\(472\) | 1.73708 | − | 0.151975i | 0.0799557 | − | 0.00699521i | ||||
\(473\) | 11.6349 | + | 16.6164i | 0.534975 | + | 0.764023i | ||||
\(474\) | −8.06817 | − | 17.6360i | −0.370583 | − | 0.810049i | ||||
\(475\) | 20.3447 | + | 7.81611i | 0.933481 | + | 0.358628i | ||||
\(476\) | 5.09266i | 0.233422i | ||||||||
\(477\) | −2.45901 | + | 24.0687i | −0.112590 | + | 1.10203i | ||||
\(478\) | −1.89085 | − | 21.6125i | −0.0864853 | − | 0.988531i | ||||
\(479\) | −25.9950 | − | 9.46142i | −1.18774 | − | 0.432303i | −0.328813 | − | 0.944395i | \(-0.606648\pi\) |
−0.858931 | + | 0.512092i | \(0.828871\pi\) | |||||||
\(480\) | −3.86707 | − | 0.213860i | −0.176507 | − | 0.00976131i | ||||
\(481\) | 26.8060 | − | 22.4929i | 1.22225 | − | 1.02559i | ||||
\(482\) | −5.35959 | + | 20.0023i | −0.244123 | + | 0.911079i | ||||
\(483\) | 18.3595 | − | 15.1792i | 0.835385 | − | 0.690680i | ||||
\(484\) | −4.17253 | + | 0.735730i | −0.189660 | + | 0.0334423i | ||||
\(485\) | −0.857714 | − | 6.74092i | −0.0389468 | − | 0.306090i | ||||
\(486\) | −15.5683 | + | 0.793112i | −0.706191 | + | 0.0359763i | ||||
\(487\) | −6.06171 | − | 1.62423i | −0.274682 | − | 0.0736009i | 0.118848 | − | 0.992912i | \(-0.462080\pi\) |
−0.393531 | + | 0.919311i | \(0.628746\pi\) | |||||||
\(488\) | −0.620426 | + | 7.09151i | −0.0280854 | + | 0.321017i | ||||
\(489\) | −1.84818 | + | 1.82148i | −0.0835774 | + | 0.0823704i | ||||
\(490\) | −4.70529 | − | 1.97296i | −0.212564 | − | 0.0891294i | ||||
\(491\) | 8.45195 | − | 10.0726i | 0.381431 | − | 0.454572i | −0.540834 | − | 0.841129i | \(-0.681891\pi\) |
0.922265 | + | 0.386557i | \(0.126336\pi\) | |||||||
\(492\) | 7.52668 | + | 4.41883i | 0.339329 | + | 0.199216i | ||||
\(493\) | −9.41813 | − | 9.41813i | −0.424171 | − | 0.424171i | ||||
\(494\) | −5.44444 | + | 11.4050i | −0.244957 | + | 0.513134i | ||||
\(495\) | 17.4400 | − | 0.431672i | 0.783869 | − | 0.0194022i | ||||
\(496\) | 1.54746 | − | 8.77608i | 0.0694830 | − | 0.394058i | ||||
\(497\) | 2.55455 | + | 29.1987i | 0.114587 | + | 1.30974i | ||||
\(498\) | 8.06499 | − | 9.47073i | 0.361401 | − | 0.424393i | ||||
\(499\) | 6.14121 | + | 16.8728i | 0.274918 | + | 0.755331i | 0.997919 | + | 0.0644840i | \(0.0205401\pi\) |
−0.723001 | + | 0.690847i | \(0.757238\pi\) | |||||||
\(500\) | 10.8829 | + | 2.56177i | 0.486698 | + | 0.114566i | ||||
\(501\) | −25.9821 | − | 18.4759i | −1.16079 | − | 0.825442i | ||||
\(502\) | 0.592303 | + | 2.21051i | 0.0264358 | + | 0.0986597i | ||||
\(503\) | 19.1070 | + | 13.3789i | 0.851941 | + | 0.596535i | 0.915895 | − | 0.401417i | \(-0.131482\pi\) |
−0.0639544 | + | 0.997953i | \(0.520371\pi\) | |||||||
\(504\) | 5.59542 | + | 3.33997i | 0.249240 | + | 0.148774i | ||||
\(505\) | −1.29185 | − | 5.94923i | −0.0574866 | − | 0.264737i | ||||
\(506\) | −14.2603 | + | 8.23319i | −0.633948 | + | 0.366010i | ||||
\(507\) | −7.49667 | + | 2.66698i | −0.332939 | + | 0.118445i | ||||
\(508\) | −3.22501 | − | 1.50385i | −0.143087 | − | 0.0667225i | ||||
\(509\) | −0.963495 | − | 0.350684i | −0.0427062 | − | 0.0155438i | 0.320579 | − | 0.947222i | \(-0.396123\pi\) |
−0.363285 | + | 0.931678i | \(0.618345\pi\) | |||||||
\(510\) | 2.83089 | − | 8.62775i | 0.125354 | − | 0.382043i | ||||
\(511\) | 5.43214 | − | 30.8072i | 0.240304 | − | 1.36283i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −12.4123 | − | 18.9455i | −0.548019 | − | 0.836466i | ||||
\(514\) | − | 5.72148i | − | 0.252364i | ||||||
\(515\) | 0.162673 | + | 0.0368050i | 0.00716821 | + | 0.00162182i | ||||
\(516\) | 3.59151 | − | 13.0240i | 0.158107 | − | 0.573351i | ||||
\(517\) | 7.64825 | − | 3.56644i | 0.336370 | − | 0.156852i | ||||
\(518\) | 11.0795 | − | 23.7601i | 0.486805 | − | 1.04396i | ||||
\(519\) | −18.9445 | − | 9.00228i | −0.831570 | − | 0.395156i | ||||
\(520\) | −1.97631 | + | 6.17450i | −0.0866671 | + | 0.270770i | ||||
\(521\) | −3.60995 | − | 2.08420i | −0.158155 | − | 0.0913106i | 0.418834 | − | 0.908063i | \(-0.362439\pi\) |
−0.576989 | + | 0.816752i | \(0.695772\pi\) | |||||||
\(522\) | −16.5247 | + | 4.17112i | −0.723266 | + | 0.182565i | ||||
\(523\) | 5.57787 | − | 7.96602i | 0.243903 | − | 0.348330i | −0.678471 | − | 0.734627i | \(-0.737357\pi\) |
0.922374 | + | 0.386297i | \(0.126246\pi\) | |||||||
\(524\) | 4.75623 | − | 8.23804i | 0.207777 | − | 0.359880i | ||||
\(525\) | −14.2156 | − | 12.3200i | −0.620420 | − | 0.537691i | ||||
\(526\) | −6.93678 | + | 5.82065i | −0.302458 | + | 0.253792i | ||||
\(527\) | 18.9356 | + | 8.82983i | 0.824849 | + | 0.384633i | ||||
\(528\) | −3.42939 | − | 2.92037i | −0.149245 | − | 0.127093i | ||||
\(529\) | 10.9861 | − | 13.0927i | 0.477655 | − | 0.569248i | ||||
\(530\) | −15.2509 | + | 9.62310i | −0.662457 | + | 0.418001i | ||||
\(531\) | 3.95796 | + | 3.42045i | 0.171761 | + | 0.148435i | ||||
\(532\) | −0.0857040 | + | 9.46779i | −0.00371574 | + | 0.410481i | ||||
\(533\) | 10.3308 | − | 10.3308i | 0.447475 | − | 0.447475i | ||||
\(534\) | −0.198836 | − | 0.764259i | −0.00860449 | − | 0.0330727i | ||||
\(535\) | −17.5940 | + | 19.0340i | −0.760655 | + | 0.822910i | ||||
\(536\) | −0.630972 | + | 1.73358i | −0.0272538 | + | 0.0748793i | ||||
\(537\) | 0.170303 | − | 23.4145i | 0.00734913 | − | 1.01041i | ||||
\(538\) | −5.71922 | − | 0.500367i | −0.246573 | − | 0.0215723i | ||||
\(539\) | −2.96698 | − | 5.13896i | −0.127797 | − | 0.221351i | ||||
\(540\) | −7.62289 | − | 8.76878i | −0.328037 | − | 0.377348i | ||||
\(541\) | 4.92882 | + | 27.9527i | 0.211907 | + | 1.20178i | 0.886195 | + | 0.463313i | \(0.153339\pi\) |
−0.674288 | + | 0.738468i | \(0.735549\pi\) | |||||||
\(542\) | 14.7248 | − | 21.0292i | 0.632484 | − | 0.903281i | ||||
\(543\) | 16.9142 | + | 20.4579i | 0.725856 | + | 0.877931i | ||||
\(544\) | −2.03042 | + | 1.17226i | −0.0870535 | + | 0.0502604i | ||||
\(545\) | −6.13688 | + | 45.1009i | −0.262875 | + | 1.93191i | ||||
\(546\) | 7.76904 | − | 7.65684i | 0.332484 | − | 0.327683i | ||||
\(547\) | 4.37290 | − | 2.03912i | 0.186972 | − | 0.0871863i | −0.326878 | − | 0.945067i | \(-0.605997\pi\) |
0.513850 | + | 0.857880i | \(0.328219\pi\) | |||||||
\(548\) | −1.27767 | + | 0.111781i | −0.0545792 | + | 0.00477506i | ||||
\(549\) | −16.5574 | + | 13.4878i | −0.706654 | + | 0.575646i | ||||
\(550\) | 8.27138 | + | 10.0330i | 0.352693 | + | 0.427810i | ||||
\(551\) | −17.3508 | − | 17.6678i | −0.739169 | − | 0.752673i | ||||
\(552\) | 10.2780 | + | 3.82577i | 0.437461 | + | 0.162836i | ||||
\(553\) | −19.9232 | + | 13.9504i | −0.847221 | + | 0.593230i | ||||
\(554\) | 6.56523 | + | 5.50888i | 0.278930 | + | 0.234050i | ||||
\(555\) | −31.9780 | + | 34.0944i | −1.35739 | + | 1.44723i | ||||
\(556\) | −9.86696 | + | 3.59128i | −0.418452 | + | 0.152304i | ||||
\(557\) | 16.2137 | + | 1.41851i | 0.686995 | + | 0.0601043i | 0.425308 | − | 0.905049i | \(-0.360166\pi\) |
0.261687 | + | 0.965153i | \(0.415721\pi\) | |||||||
\(558\) | 22.1203 | − | 15.0140i | 0.936425 | − | 0.635595i | ||||
\(559\) | −19.5851 | − | 11.3075i | −0.828363 | − | 0.478255i | ||||
\(560\) | 0.613070 | + | 4.81822i | 0.0259069 | + | 0.203607i | ||||
\(561\) | 8.69457 | − | 5.99423i | 0.367085 | − | 0.253077i | ||||
\(562\) | −3.01341 | − | 11.2462i | −0.127113 | − | 0.474393i | ||||
\(563\) | 16.3792 | + | 4.38880i | 0.690302 | + | 0.184966i | 0.586882 | − | 0.809672i | \(-0.300355\pi\) |
0.103419 | + | 0.994638i | \(0.467022\pi\) | |||||||
\(564\) | −5.07648 | − | 2.41231i | −0.213758 | − | 0.101576i | ||||
\(565\) | −8.56757 | + | 2.66052i | −0.360440 | + | 0.111929i | ||||
\(566\) | 3.55419 | − | 9.76507i | 0.149394 | − | 0.410456i | ||||
\(567\) | 4.50831 | + | 19.0224i | 0.189331 | + | 0.798866i | ||||
\(568\) | −11.0533 | + | 7.73964i | −0.463788 | + | 0.324748i | ||||
\(569\) | 15.5246 | 0.650824 | 0.325412 | − | 0.945572i | \(-0.394497\pi\) | ||||
0.325412 | + | 0.945572i | \(0.394497\pi\) | |||||||
\(570\) | 5.40811 | − | 15.9923i | 0.226521 | − | 0.669842i | ||||
\(571\) | −34.2466 | −1.43318 | −0.716588 | − | 0.697497i | \(-0.754297\pi\) | ||||
−0.716588 | + | 0.697497i | \(0.754297\pi\) | |||||||
\(572\) | −6.17638 | + | 4.32475i | −0.258247 | + | 0.180827i | ||||
\(573\) | 1.02395 | + | 1.80370i | 0.0427760 | + | 0.0753505i | ||||
\(574\) | 3.74363 | − | 10.2855i | 0.156256 | − | 0.429310i | ||||
\(575\) | −27.2789 | − | 16.0668i | −1.13761 | − | 0.670032i | ||||
\(576\) | −0.0436381 | + | 2.99968i | −0.00181825 | + | 0.124987i | ||||
\(577\) | −2.01953 | − | 0.541132i | −0.0840743 | − | 0.0225276i | 0.216537 | − | 0.976274i | \(-0.430524\pi\) |
−0.300611 | + | 0.953747i | \(0.597191\pi\) | |||||||
\(578\) | 2.97725 | + | 11.1112i | 0.123837 | + | 0.462166i | ||||
\(579\) | 6.45351 | + | 9.36075i | 0.268199 | + | 0.389019i | ||||
\(580\) | −10.0444 | − | 7.77682i | −0.417071 | − | 0.322915i | ||||
\(581\) | −13.5101 | − | 7.80007i | −0.560494 | − | 0.323601i | ||||
\(582\) | −5.19014 | + | 0.876288i | −0.215138 | + | 0.0363233i | ||||
\(583\) | −20.8931 | − | 1.82791i | −0.865305 | − | 0.0757044i | ||||
\(584\) | 13.5331 | − | 4.92564i | 0.560003 | − | 0.203825i | ||||
\(585\) | −17.4182 | + | 8.65325i | −0.720154 | + | 0.357768i | ||||
\(586\) | −17.4582 | − | 14.6492i | −0.721192 | − | 0.605152i | ||||
\(587\) | 9.48906 | − | 6.64431i | 0.391656 | − | 0.274240i | −0.361117 | − | 0.932520i | \(-0.617605\pi\) |
0.752773 | + | 0.658280i | \(0.228716\pi\) | |||||||
\(588\) | −1.37869 | + | 3.70387i | −0.0568561 | + | 0.152745i | ||||
\(589\) | 35.0547 | + | 16.7342i | 1.44440 | + | 0.689523i | ||||
\(590\) | −0.186979 | + | 3.89458i | −0.00769780 | + | 0.160337i | ||||
\(591\) | −9.21356 | − | 35.4138i | −0.378995 | − | 1.45673i | ||||
\(592\) | 12.0234 | − | 1.05191i | 0.494158 | − | 0.0432332i | ||||
\(593\) | −29.0922 | + | 13.5659i | −1.19468 | + | 0.557086i | −0.915174 | − | 0.403059i | \(-0.867947\pi\) |
−0.279501 | + | 0.960145i | \(0.590169\pi\) | |||||||
\(594\) | −0.883756 | − | 13.4842i | −0.0362609 | − | 0.553262i | ||||
\(595\) | −11.2836 | − | 1.53536i | −0.462581 | − | 0.0629434i | ||||
\(596\) | 10.0754 | − | 5.81702i | 0.412703 | − | 0.238274i | ||||
\(597\) | −7.47802 | + | 6.18268i | −0.306055 | + | 0.253040i | ||||
\(598\) | 10.5296 | − | 15.0379i | 0.430588 | − | 0.614944i | ||||
\(599\) | 8.01234 | + | 45.4402i | 0.327375 | + | 1.85664i | 0.492428 | + | 0.870353i | \(0.336110\pi\) |
−0.165052 | + | 0.986285i | \(0.552779\pi\) | |||||||
\(600\) | 1.63970 | − | 8.50361i | 0.0669404 | − | 0.347158i | ||||
\(601\) | −15.6832 | − | 27.1642i | −0.639733 | − | 1.10805i | −0.985491 | − | 0.169726i | \(-0.945712\pi\) |
0.345758 | − | 0.938324i | \(-0.387622\pi\) | |||||||
\(602\) | −16.8785 | − | 1.47668i | −0.687915 | − | 0.0601848i | ||||
\(603\) | −5.04946 | + | 2.26578i | −0.205630 | + | 0.0922696i | ||||
\(604\) | 2.95998 | − | 8.13248i | 0.120440 | − | 0.330906i | ||||
\(605\) | −0.372169 | − | 9.46668i | −0.0151308 | − | 0.384875i | ||||
\(606\) | −4.56372 | + | 1.18734i | −0.185389 | + | 0.0482323i | ||||
\(607\) | −30.2517 | + | 30.2517i | −1.22788 | + | 1.22788i | −0.263112 | + | 0.964765i | \(0.584749\pi\) |
−0.964765 | + | 0.263112i | \(0.915251\pi\) | |||||||
\(608\) | −3.79449 | + | 2.14519i | −0.153887 | + | 0.0869990i | ||||
\(609\) | 8.89169 | + | 19.4361i | 0.360309 | + | 0.787591i | ||||
\(610\) | −15.5252 | − | 3.51262i | −0.628599 | − | 0.142222i | ||||
\(611\) | −6.04752 | + | 7.20715i | −0.244656 | + | 0.291570i | ||||
\(612\) | −6.76672 | − | 1.91906i | −0.273528 | − | 0.0775732i | ||||
\(613\) | 34.5736 | + | 16.1219i | 1.39642 | + | 0.651159i | 0.967659 | − | 0.252261i | \(-0.0811743\pi\) |
0.428756 | + | 0.903420i | \(0.358952\pi\) | |||||||
\(614\) | −6.40309 | + | 5.37283i | −0.258408 | + | 0.216830i | ||||
\(615\) | −12.0598 | + | 15.3443i | −0.486296 | + | 0.618741i | ||||
\(616\) | −2.82444 | + | 4.89208i | −0.113800 | + | 0.197107i | ||||
\(617\) | −8.92594 | + | 12.7476i | −0.359345 | + | 0.513198i | −0.957597 | − | 0.288110i | \(-0.906973\pi\) |
0.598252 | + | 0.801308i | \(0.295862\pi\) | |||||||
\(618\) | 0.0233585 | − | 0.127061i | 0.000939615 | − | 0.00511115i | ||||
\(619\) | −15.2646 | − | 8.81303i | −0.613537 | − | 0.354225i | 0.160812 | − | 0.986985i | \(-0.448589\pi\) |
−0.774348 | + | 0.632760i | \(0.781922\pi\) | |||||||
\(620\) | 18.9782 | + | 6.07448i | 0.762182 | + | 0.243957i | ||||
\(621\) | 13.2506 | + | 30.1146i | 0.531729 | + | 1.20846i | ||||
\(622\) | 11.5950 | − | 24.8656i | 0.464917 | − | 0.997018i | ||||
\(623\) | −0.897568 | + | 0.418543i | −0.0359603 | + | 0.0167686i | ||||
\(624\) | 4.84108 | + | 1.33498i | 0.193798 | + | 0.0534418i | ||||
\(625\) | −8.95701 | + | 23.3403i | −0.358281 | + | 0.933614i | ||||
\(626\) | − | 14.3953i | − | 0.575352i | ||||||
\(627\) | 16.2650 | − | 10.9976i | 0.649561 | − | 0.439201i | ||||
\(628\) | −7.07750 | − | 7.07750i | −0.282423 | − | 0.282423i | ||||
\(629\) | −4.91369 | + | 27.8669i | −0.195922 | + | 1.11113i | ||||
\(630\) | −9.08713 | + | 11.3905i | −0.362040 | + | 0.453810i | ||||
\(631\) | 35.8068 | + | 13.0326i | 1.42544 | + | 0.518819i | 0.935622 | − | 0.353003i | \(-0.114839\pi\) |
0.489822 | + | 0.871822i | \(0.337062\pi\) | |||||||
\(632\) | −10.1480 | − | 4.73209i | −0.403666 | − | 0.188233i | ||||
\(633\) | 7.61017 | + | 21.3916i | 0.302477 | + | 0.850240i | ||||
\(634\) | −24.1353 | + | 13.9345i | −0.958534 | + | 0.553410i | ||||
\(635\) | 4.30429 | − | 6.69211i | 0.170811 | − | 0.265568i | ||||
\(636\) | 7.92851 | + | 11.5002i | 0.314386 | + | 0.456013i | ||||
\(637\) | 5.41917 | + | 3.79454i | 0.214715 | + | 0.150345i | ||||
\(638\) | −3.82379 | − | 14.2706i | −0.151385 | − | 0.564977i | ||||
\(639\) | −39.7595 | − | 7.60859i | −1.57286 | − | 0.300991i | ||||
\(640\) | −1.77988 | + | 1.35352i | −0.0703560 | + | 0.0535026i | ||||
\(641\) | −12.5898 | − | 34.5902i | −0.497268 | − | 1.36623i | −0.893905 | − | 0.448256i | \(-0.852045\pi\) |
0.396637 | − | 0.917975i | \(-0.370177\pi\) | |||||||
\(642\) | 15.2860 | + | 13.0171i | 0.603288 | + | 0.513742i | ||||
\(643\) | −3.28386 | − | 37.5346i | −0.129503 | − | 1.48022i | −0.731564 | − | 0.681772i | \(-0.761209\pi\) |
0.602062 | − | 0.798450i | \(-0.294346\pi\) | |||||||
\(644\) | 2.38828 | − | 13.5446i | 0.0941113 | − | 0.533732i | ||||
\(645\) | 27.7739 | + | 11.8841i | 1.09360 | + | 0.467934i | ||||
\(646\) | −2.55555 | − | 9.89487i | −0.100547 | − | 0.389308i | ||||
\(647\) | 29.7444 | + | 29.7444i | 1.16937 | + | 1.16937i | 0.982357 | + | 0.187015i | \(0.0598814\pi\) |
0.187015 | + | 0.982357i | \(0.440119\pi\) | |||||||
\(648\) | −6.54639 | + | 6.17615i | −0.257166 | + | 0.242622i | ||||
\(649\) | −2.91485 | + | 3.47379i | −0.114418 | + | 0.136358i | ||||
\(650\) | −13.0847 | − | 6.24034i | −0.513225 | − | 0.244766i | ||||
\(651\) | −23.5344 | − | 23.8792i | −0.922384 | − | 0.935900i | ||||
\(652\) | −0.130574 | + | 1.49247i | −0.00511368 | + | 0.0584497i | ||||
\(653\) | 17.9182 | + | 4.80116i | 0.701192 | + | 0.187884i | 0.591764 | − | 0.806111i | \(-0.298432\pi\) |
0.109428 | + | 0.993995i | \(0.465098\pi\) | |||||||
\(654\) | 35.0995 | + | 3.32822i | 1.37250 | + | 0.130144i | ||||
\(655\) | 16.8187 | + | 13.0218i | 0.657161 | + | 0.508803i | ||||
\(656\) | 4.96252 | − | 0.875027i | 0.193754 | − | 0.0341641i | ||||
\(657\) | 38.8872 | + | 18.8268i | 1.51713 | + | 0.734504i | ||||
\(658\) | −1.82431 | + | 6.80843i | −0.0711191 | + | 0.265420i | ||||
\(659\) | −16.7820 | + | 14.0817i | −0.653733 | + | 0.548547i | −0.908201 | − | 0.418534i | \(-0.862544\pi\) |
0.254468 | + | 0.967081i | \(0.418100\pi\) | |||||||
\(660\) | 7.50443 | − | 6.71789i | 0.292109 | − | 0.261494i | ||||
\(661\) | 2.78248 | + | 1.01274i | 0.108226 | + | 0.0393910i | 0.395566 | − | 0.918438i | \(-0.370549\pi\) |
−0.287340 | + | 0.957829i | \(0.592771\pi\) | |||||||
\(662\) | −2.12405 | − | 24.2780i | −0.0825536 | − | 0.943592i | ||||
\(663\) | −5.96084 | + | 10.1532i | −0.231500 | + | 0.394318i | ||||
\(664\) | − | 7.18189i | − | 0.278711i | ||||||
\(665\) | −20.9515 | − | 3.04428i | −0.812463 | − | 0.118052i | ||||
\(666\) | 27.3954 | + | 23.6750i | 1.06155 | + | 0.917387i | ||||
\(667\) | 20.6320 | + | 29.4655i | 0.798874 | + | 1.14091i | ||||
\(668\) | −18.3367 | + | 1.60425i | −0.709469 | + | 0.0620705i | ||||
\(669\) | 12.0692 | − | 0.967516i | 0.466621 | − | 0.0374063i | ||||
\(670\) | −3.65078 | − | 1.92066i | −0.141042 | − | 0.0742016i | ||||
\(671\) | −11.8997 | − | 14.1815i | −0.459381 | − | 0.547469i | ||||
\(672\) | 3.70977 | − | 0.626346i | 0.143107 | − | 0.0241618i | ||||
\(673\) | 24.3814 | − | 6.53299i | 0.939836 | − | 0.251828i | 0.243792 | − | 0.969828i | \(-0.421609\pi\) |
0.696044 | + | 0.717999i | \(0.254942\pi\) | |||||||
\(674\) | −2.91400 | − | 16.5261i | −0.112243 | − | 0.636563i | ||||
\(675\) | 21.7267 | − | 14.2460i | 0.836262 | − | 0.548330i | ||||
\(676\) | −2.29697 | + | 3.97847i | −0.0883449 | + | 0.153018i | ||||
\(677\) | −1.04283 | + | 3.89189i | −0.0400792 | + | 0.149578i | −0.983066 | − | 0.183253i | \(-0.941337\pi\) |
0.942987 | + | 0.332831i | \(0.108004\pi\) | |||||||
\(678\) | 2.32915 | + | 6.54706i | 0.0894504 | + | 0.251438i | ||||
\(679\) | 2.25768 | + | 6.20294i | 0.0866419 | + | 0.238047i | ||||
\(680\) | −1.98519 | − | 4.85212i | −0.0761284 | − | 0.186070i | ||||
\(681\) | −3.64561 | − | 1.00531i | −0.139700 | − | 0.0385237i | ||||
\(682\) | 13.2927 | + | 18.9839i | 0.509004 | + | 0.726933i | ||||
\(683\) | 2.48258 | − | 2.48258i | 0.0949933 | − | 0.0949933i | −0.658013 | − | 0.753006i | \(-0.728603\pi\) |
0.753006 | + | 0.658013i | \(0.228603\pi\) | |||||||
\(684\) | −12.5477 | − | 3.68160i | −0.479775 | − | 0.140770i | ||||
\(685\) | 0.137528 | − | 2.86456i | 0.00525466 | − | 0.109449i | ||||
\(686\) | 19.8551 | + | 3.50099i | 0.758071 | + | 0.133668i | ||||
\(687\) | −11.7162 | − | 20.6383i | −0.447003 | − | 0.787402i | ||||
\(688\) | −3.29646 | − | 7.06928i | −0.125676 | − | 0.269514i | ||||
\(689\) | 21.9719 | − | 7.99713i | 0.837064 | − | 0.304666i | ||||
\(690\) | −11.5752 | + | 21.6191i | −0.440661 | + | 0.823023i | ||||
\(691\) | 6.24786 | + | 10.8216i | 0.237680 | + | 0.411674i | 0.960048 | − | 0.279835i | \(-0.0902797\pi\) |
−0.722368 | + | 0.691509i | \(0.756946\pi\) | |||||||
\(692\) | −11.6971 | + | 3.13422i | −0.444656 | + | 0.119145i | ||||
\(693\) | −16.4313 | + | 4.14754i | −0.624172 | + | 0.157552i | ||||
\(694\) | −8.05785 | + | 1.42082i | −0.305872 | + | 0.0539334i | ||||
\(695\) | −4.98229 | − | 22.9444i | −0.188989 | − | 0.870332i | ||||
\(696\) | −5.70234 | + | 8.01901i | −0.216147 | + | 0.303960i | ||||
\(697\) | −1.02968 | + | 11.7693i | −0.0390019 | + | 0.445794i | ||||
\(698\) | −0.605791 | + | 1.29912i | −0.0229295 | + | 0.0491725i | ||||
\(699\) | −3.05059 | − | 38.0542i | −0.115384 | − | 1.43934i | ||||
\(700\) | −10.8603 | − | 0.0942683i | −0.410482 | − | 0.00356301i | ||||
\(701\) | 47.6373 | + | 8.39974i | 1.79924 | + | 0.317254i | 0.970267 | − | 0.242039i | \(-0.0778161\pi\) |
0.828970 | + | 0.559293i | \(0.188927\pi\) | |||||||
\(702\) | 7.24620 | + | 13.2082i | 0.273490 | + | 0.498511i | ||||
\(703\) | −9.60403 | + | 51.7248i | −0.362223 | + | 1.95084i | ||||
\(704\) | −2.60060 | −0.0980137 | ||||||||
\(705\) | 6.87531 | − | 10.5204i | 0.258939 | − | 0.396223i | ||||
\(706\) | −5.66999 | − | 4.75768i | −0.213393 | − | 0.179058i | ||||
\(707\) | 2.49930 | + | 5.35977i | 0.0939959 | + | 0.201575i | ||||
\(708\) | 3.02013 | + | 0.0219666i | 0.113503 | + | 0.000825555i | ||||
\(709\) | 7.82531 | + | 9.32584i | 0.293886 | + | 0.350239i | 0.892702 | − | 0.450647i | \(-0.148807\pi\) |
−0.598817 | + | 0.800886i | \(0.704362\pi\) | |||||||
\(710\) | −13.8159 | − | 26.8237i | −0.518502 | − | 1.00668i | ||||
\(711\) | −11.0285 | − | 31.7292i | −0.413602 | − | 1.18994i | ||||
\(712\) | −0.373479 | − | 0.261513i | −0.0139967 | − | 0.00980061i | ||||
\(713\) | −46.2209 | − | 32.3642i | −1.73099 | − | 1.21205i | ||||
\(714\) | −0.832669 | + | 8.78135i | −0.0311619 | + | 0.328634i | ||||
\(715\) | −7.72005 | − | 14.9885i | −0.288713 | − | 0.560539i | ||||
\(716\) | −8.68969 | − | 10.3560i | −0.324749 | − | 0.387021i | ||||
\(717\) | 0.273304 | − | 37.5759i | 0.0102067 | − | 1.40330i | ||||
\(718\) | −1.71387 | − | 3.67541i | −0.0639611 | − | 0.137165i | ||||
\(719\) | −11.1167 | − | 9.32805i | −0.414584 | − | 0.347877i | 0.411514 | − | 0.911403i | \(-0.365000\pi\) |
−0.826098 | + | 0.563526i | \(0.809445\pi\) | |||||||
\(720\) | −6.63309 | − | 1.00104i | −0.247201 | − | 0.0373067i | ||||
\(721\) | −0.162017 | −0.00603381 | ||||||||
\(722\) | −4.58452 | − | 18.4386i | −0.170618 | − | 0.686214i | ||||
\(723\) | −12.5121 | + | 33.6139i | −0.465329 | + | 1.25012i | ||||
\(724\) | 15.0927 | + | 2.66125i | 0.560915 | + | 0.0989044i | ||||
\(725\) | 20.2589 | − | 19.9103i | 0.752398 | − | 0.739449i | ||||
\(726\) | −7.31506 | + | 0.586406i | −0.271487 | + | 0.0217636i | ||||
\(727\) | −15.6247 | + | 33.5073i | −0.579488 | + | 1.24272i | 0.370034 | + | 0.929018i | \(0.379346\pi\) |
−0.949523 | + | 0.313699i | \(0.898432\pi\) | |||||||
\(728\) | 0.548886 | − | 6.27379i | 0.0203431 | − | 0.232522i | ||||
\(729\) | −26.9743 | − | 1.17790i | −0.999048 | − | 0.0436258i | ||||
\(730\) | 6.83349 | + | 31.4696i | 0.252919 | + | 1.16474i | ||||
\(731\) | 18.0097 | − | 3.17559i | 0.666112 | − | 0.117454i | ||||
\(732\) | −2.22930 | + | 12.1266i | −0.0823973 | + | 0.448210i | ||||
\(733\) | −20.7244 | + | 5.55307i | −0.765471 | + | 0.205107i | −0.620370 | − | 0.784309i | \(-0.713018\pi\) |
−0.145101 | + | 0.989417i | \(0.546351\pi\) | |||||||
\(734\) | 0.154358 | + | 0.267355i | 0.00569744 | + | 0.00986826i | ||||
\(735\) | −7.79083 | − | 4.17135i | −0.287369 | − | 0.153862i | ||||
\(736\) | 5.94992 | − | 2.16559i | 0.219317 | − | 0.0798248i | ||||
\(737\) | −2.02759 | − | 4.34817i | −0.0746871 | − | 0.160167i | ||||
\(738\) | 12.2559 | + | 8.85010i | 0.451145 | + | 0.325777i | ||||
\(739\) | −3.52287 | − | 0.621178i | −0.129591 | − | 0.0228504i | 0.108476 | − | 0.994099i | \(-0.465403\pi\) |
−0.238067 | + | 0.971249i | \(0.576514\pi\) | |||||||
\(740\) | −1.29419 | + | 26.9567i | −0.0475755 | + | 0.990949i | ||||
\(741\) | −11.2527 | + | 18.7756i | −0.413378 | + | 0.689738i | ||||
\(742\) | 12.3868 | − | 12.3868i | 0.454735 | − | 0.454735i | ||||
\(743\) | 13.8890 | + | 19.8355i | 0.509537 | + | 0.727694i | 0.988679 | − | 0.150043i | \(-0.0479413\pi\) |
−0.479143 | + | 0.877737i | \(0.659052\pi\) | |||||||
\(744\) | 4.10323 | − | 14.8797i | 0.150432 | − | 0.545517i | ||||
\(745\) | 9.85092 | + | 24.0772i | 0.360910 | + | 0.882122i | ||||
\(746\) | −9.04423 | − | 24.8488i | −0.331133 | − | 0.909780i | ||||
\(747\) | 15.4551 | − | 15.0119i | 0.565472 | − | 0.549256i | ||||
\(748\) | 1.57806 | − | 5.88941i | 0.0576997 | − | 0.215338i | ||||
\(749\) | 12.5895 | − | 21.8056i | 0.460009 | − | 0.796760i | ||||
\(750\) | 18.3467 | + | 6.19670i | 0.669926 | + | 0.226272i | ||||
\(751\) | 3.49041 | + | 19.7951i | 0.127367 | + | 0.722334i | 0.979874 | + | 0.199618i | \(0.0639701\pi\) |
−0.852507 | + | 0.522716i | \(0.824919\pi\) | |||||||
\(752\) | −3.13442 | + | 0.839865i | −0.114301 | + | 0.0306267i | ||||
\(753\) | 0.659892 | + | 3.90845i | 0.0240478 | + | 0.142432i | ||||
\(754\) | 10.5874 | + | 12.6175i | 0.385570 | + | 0.459504i | ||||
\(755\) | 17.1263 | + | 9.01009i | 0.623291 | + | 0.327911i | ||||
\(756\) | 9.10217 | + | 6.67403i | 0.331043 | + | 0.242732i | ||||
\(757\) | 24.8122 | − | 2.17079i | 0.901815 | − | 0.0788986i | 0.373191 | − | 0.927755i | \(-0.378264\pi\) |
0.528624 | + | 0.848856i | \(0.322708\pi\) | |||||||
\(758\) | 15.0567 | + | 21.5032i | 0.546884 | + | 0.781031i | ||||
\(759\) | −25.9354 | + | 11.8650i | −0.941396 | + | 0.430672i | ||||
\(760\) | −3.60901 | − | 9.05401i | −0.130913 | − | 0.328423i | ||||
\(761\) | 18.6056i | 0.674454i | 0.941423 | + | 0.337227i | \(0.109489\pi\) | ||||
−0.941423 | + | 0.337227i | \(0.890511\pi\) | |||||||
\(762\) | −5.31506 | − | 3.12041i | −0.192544 | − | 0.113041i | ||||
\(763\) | −3.85362 | − | 44.0471i | −0.139510 | − | 1.59461i | ||||
\(764\) | 1.12525 | + | 0.409558i | 0.0407102 | + | 0.0148173i | ||||
\(765\) | 6.29201 | − | 14.4141i | 0.227488 | − | 0.521143i | ||||
\(766\) | −14.6502 | + | 12.2930i | −0.529333 | + | 0.444163i | ||||
\(767\) | 1.30848 | − | 4.88333i | 0.0472466 | − | 0.176327i | ||||
\(768\) | 1.10366 | + | 1.33489i | 0.0398249 | + | 0.0481687i | ||||
\(769\) | 27.0529 | − | 4.77016i | 0.975554 | − | 0.172016i | 0.336925 | − | 0.941531i | \(-0.390613\pi\) |
0.638629 | + | 0.769515i | \(0.279502\pi\) | |||||||
\(770\) | −9.98761 | − | 7.73286i | −0.359928 | − | 0.278673i | ||||
\(771\) | 0.935483 | − | 9.86564i | 0.0336906 | − | 0.355302i | ||||
\(772\) | 6.34066 | + | 1.69897i | 0.228205 | + | 0.0611474i | ||||
\(773\) | 3.93998 | − | 45.0341i | 0.141711 | − | 1.61977i | −0.509226 | − | 0.860633i | \(-0.670068\pi\) |
0.650937 | − | 0.759132i | \(-0.274376\pi\) | |||||||
\(774\) | 8.32237 | − | 21.8703i | 0.299141 | − | 0.786112i | ||||
\(775\) | −19.1805 | + | 40.2177i | −0.688985 | + | 1.44466i | ||||
\(776\) | −1.95339 | + | 2.32796i | −0.0701227 | + | 0.0835690i | ||||
\(777\) | 22.9894 | − | 39.1583i | 0.824741 | − | 1.40480i | ||||
\(778\) | −25.2908 | − | 25.2908i | −0.906718 | − | 0.906718i | ||||
\(779\) | −2.11235 | + | 21.8630i | −0.0756827 | + | 0.783324i | ||||
\(780\) | −4.41735 | + | 10.3237i | −0.158166 | + | 0.369646i | ||||
\(781\) | 6.09358 | − | 34.5584i | 0.218045 | − | 1.23660i | ||||
\(782\) | 1.29383 | + | 14.7885i | 0.0462671 | + | 0.528836i | ||||
\(783\) | −29.1758 | + | 4.49049i | −1.04266 | + | 0.160477i | ||||
\(784\) | 0.780412 | + | 2.14416i | 0.0278718 | + | 0.0765773i | ||||
\(785\) | 17.8150 | − | 13.5475i | 0.635845 | − | 0.483532i | ||||
\(786\) | 9.54820 | − | 13.4273i | 0.340573 | − | 0.478937i | ||||
\(787\) | −7.64970 | − | 28.5491i | −0.272682 | − | 1.01766i | −0.957379 | − | 0.288836i | \(-0.906732\pi\) |
0.684696 | − | 0.728828i | \(-0.259935\pi\) | |||||||
\(788\) | −17.3061 | − | 12.1178i | −0.616503 | − | 0.431680i | ||||
\(789\) | −12.9129 | + | 8.90245i | −0.459712 | + | 0.316936i | ||||
\(790\) | 13.5441 | − | 21.0578i | 0.481878 | − | 0.749202i | ||||
\(791\) | 7.54716 | − | 4.35735i | 0.268346 | − | 0.154930i | ||||
\(792\) | −5.43587 | − | 5.59636i | −0.193155 | − | 0.198858i | ||||
\(793\) | 18.7054 | + | 8.72246i | 0.664247 | + | 0.309743i | ||||
\(794\) | −9.88325 | − | 3.59721i | −0.350743 | − | 0.127660i | ||||
\(795\) | −27.8708 | + | 14.0997i | −0.988475 | + | 0.500064i | ||||
\(796\) | −0.972773 | + | 5.51687i | −0.0344790 | + | 0.195540i | ||||
\(797\) | −0.838849 | − | 0.838849i | −0.0297135 | − | 0.0297135i | 0.692094 | − | 0.721807i | \(-0.256688\pi\) |
−0.721807 | + | 0.692094i | \(0.756688\pi\) | |||||||
\(798\) | −1.69580 | + | 16.3114i | −0.0600307 | + | 0.577419i | ||||
\(799\) | − | 7.60796i | − | 0.269150i | ||||||
\(800\) | −2.46232 | − | 4.35166i | −0.0870562 | − | 0.153855i | ||||
\(801\) | −0.217897 | − | 1.35033i | −0.00769903 | − | 0.0477117i | ||||
\(802\) | −20.3042 | + | 9.46799i | −0.716965 | + | 0.334326i | ||||
\(803\) | −15.8282 | + | 33.9438i | −0.558566 | + | 1.19785i | ||||
\(804\) | −1.37144 | + | 2.88607i | −0.0483670 | + | 0.101784i | ||||
\(805\) | 29.2901 | + | 9.37507i | 1.03234 | + | 0.330428i | ||||
\(806\) | −22.3757 | − | 12.9186i | −0.788149 | − | 0.455038i | ||||
\(807\) | −9.77993 | − | 1.79790i | −0.344270 | − | 0.0632892i | ||||
\(808\) | −1.56161 | + | 2.23021i | −0.0549372 | + | 0.0784584i | ||||
\(809\) | −2.51647 | + | 4.35865i | −0.0884742 | + | 0.153242i | −0.906866 | − | 0.421418i | \(-0.861532\pi\) |
0.818392 | + | 0.574660i | \(0.194866\pi\) | |||||||
\(810\) | −11.7106 | − | 16.3665i | −0.411467 | − | 0.575061i | ||||
\(811\) | −10.3112 | + | 8.65213i | −0.362076 | + | 0.303817i | −0.805617 | − | 0.592436i | \(-0.798166\pi\) |
0.443542 | + | 0.896254i | \(0.353722\pi\) | |||||||
\(812\) | 11.1838 | + | 5.21510i | 0.392475 | + | 0.183014i | ||||
\(813\) | 28.8285 | − | 33.8534i | 1.01106 | − | 1.18729i | ||||
\(814\) | −20.1754 | + | 24.0441i | −0.707148 | + | 0.842746i | ||||
\(815\) | −3.26743 | − | 0.739263i | −0.114453 | − | 0.0258953i | ||||
\(816\) | −3.69275 | + | 1.68937i | −0.129272 | + | 0.0591398i | ||||
\(817\) | 33.5353 | − | 5.60068i | 1.17325 | − | 0.195943i | ||||
\(818\) | −3.26255 | + | 3.26255i | −0.114072 | + | 0.114072i | ||||
\(819\) | 14.6482 | − | 11.9325i | 0.511850 | − | 0.416957i | ||||
\(820\) | 0.442632 | + | 11.2590i | 0.0154574 | + | 0.393182i | ||||
\(821\) | −6.66053 | + | 18.2997i | −0.232454 | + | 0.638662i | −0.999997 | − | 0.00233490i | \(-0.999257\pi\) |
0.767543 | + | 0.640997i | \(0.221479\pi\) | |||||||
\(822\) | −2.22138 | − | 0.0161570i | −0.0774795 | − | 0.000563539i | ||||
\(823\) | 1.97353 | + | 0.172661i | 0.0687928 | + | 0.00601859i | 0.121500 | − | 0.992591i | \(-0.461229\pi\) |
−0.0527074 | + | 0.998610i | \(0.516785\pi\) | |||||||
\(824\) | −0.0372941 | − | 0.0645953i | −0.00129920 | − | 0.00225028i | ||||
\(825\) | 12.6220 | + | 18.6525i | 0.439443 | + | 0.649398i | ||||
\(826\) | −0.657712 | − | 3.73007i | −0.0228847 | − | 0.129786i | ||||
\(827\) | 20.2475 | − | 28.9164i | 0.704075 | − | 1.00552i | −0.294678 | − | 0.955597i | \(-0.595212\pi\) |
0.998753 | − | 0.0499263i | \(-0.0158987\pi\) | |||||||
\(828\) | 17.0970 | + | 8.27733i | 0.594162 | + | 0.287657i | ||||
\(829\) | −24.3941 | + | 14.0840i | −0.847243 | + | 0.489156i | −0.859720 | − | 0.510766i | \(-0.829362\pi\) |
0.0124764 | + | 0.999922i | \(0.496029\pi\) | |||||||
\(830\) | 15.9126 | + | 2.16523i | 0.552333 | + | 0.0751561i | ||||
\(831\) | 10.4198 | + | 10.5725i | 0.361459 | + | 0.366756i | ||||
\(832\) | 2.62768 | − | 1.22531i | 0.0910983 | − | 0.0424798i | ||||
\(833\) | −5.32931 | + | 0.466255i | −0.184650 | + | 0.0161548i | ||||
\(834\) | −17.6009 | + | 4.57921i | −0.609471 | + | 0.158565i | ||||
\(835\) | 1.97376 | − | 41.1114i | 0.0683047 | − | 1.42272i | ||||
\(836\) | 3.03290 | − | 10.9225i | 0.104895 | − | 0.377762i | ||||
\(837\) | 40.5972 | − | 22.2722i | 1.40324 | − | 0.769840i | ||||
\(838\) | 2.29556 | − | 1.60737i | 0.0792990 | − | 0.0555257i | ||||
\(839\) | −31.8437 | − | 26.7200i | −1.09937 | − | 0.922478i | −0.101984 | − | 0.994786i | \(-0.532519\pi\) |
−0.997382 | + | 0.0723079i | \(0.976964\pi\) | |||||||
\(840\) | 0.269329 | + | 8.40838i | 0.00929273 | + | 0.290117i | ||||
\(841\) | −3.07631 | + | 1.11968i | −0.106080 | + | 0.0386098i | ||||
\(842\) | 3.30477 | + | 0.289130i | 0.113890 | + | 0.00996407i | ||||
\(843\) | −3.35728 | − | 19.8847i | −0.115631 | − | 0.684866i | ||||
\(844\) | 11.3525 | + | 6.55436i | 0.390769 | + | 0.225610i | ||||
\(845\) | −8.12239 | − | 6.28872i | −0.279419 | − | 0.216339i | ||||
\(846\) | −8.35904 | − | 4.98960i | −0.287390 | − | 0.171546i | ||||
\(847\) | 2.38196 | + | 8.88958i | 0.0818450 | + | 0.305450i | ||||
\(848\) | 7.78987 | + | 2.08729i | 0.267505 | + | 0.0716778i | ||||
\(849\) | 7.72518 | − | 16.2569i | 0.265127 | − | 0.557937i | ||||
\(850\) | 11.3491 | − | 2.93564i | 0.389271 | − | 0.100692i | ||||
\(851\) | 26.1372 | − | 71.8113i | 0.895971 | − | 2.46166i | ||||
\(852\) | −20.3249 | + | 11.5383i | −0.696321 | + | 0.395296i | ||||
\(853\) | 1.17065 | − | 0.819696i | 0.0400822 | − | 0.0280659i | −0.553364 | − | 0.832940i | \(-0.686656\pi\) |
0.593446 | + | 0.804874i | \(0.297767\pi\) | |||||||
\(854\) | 15.4626 | 0.529121 | ||||||||
\(855\) | 11.9401 | − | 26.6915i | 0.408342 | − | 0.912829i | ||||
\(856\) | 11.5917 | 0.396197 | ||||||||
\(857\) | −11.8970 | + | 8.33035i | −0.406393 | + | 0.284559i | −0.758846 | − | 0.651270i | \(-0.774236\pi\) |
0.352453 | + | 0.935829i | \(0.385348\pi\) | |||||||
\(858\) | −11.3571 | + | 6.44737i | −0.387726 | + | 0.220110i | ||||
\(859\) | 1.95250 | − | 5.36445i | 0.0666185 | − | 0.183033i | −0.901916 | − | 0.431911i | \(-0.857840\pi\) |
0.968535 | + | 0.248878i | \(0.0800618\pi\) | |||||||
\(860\) | 16.6569 | − | 5.17253i | 0.567995 | − | 0.176382i | ||||
\(861\) | 8.13692 | − | 17.1234i | 0.277305 | − | 0.583564i | ||||
\(862\) | 35.9615 | + | 9.63586i | 1.22485 | + | 0.328199i | ||||
\(863\) | −0.678133 | − | 2.53083i | −0.0230839 | − | 0.0861503i | 0.953423 | − | 0.301637i | \(-0.0975330\pi\) |
−0.976507 | + | 0.215486i | \(0.930866\pi\) | |||||||
\(864\) | −0.565705 | + | 5.16527i | −0.0192457 | + | 0.175726i | ||||
\(865\) | −3.41786 | − | 26.8615i | −0.116211 | − | 0.913320i | ||||
\(866\) | 31.6914 | + | 18.2970i | 1.07692 | + | 0.621758i | ||||
\(867\) | 3.31699 | + | 19.6461i | 0.112651 | + | 0.667216i | ||||
\(868\) | −19.2834 | − | 1.68708i | −0.654520 | − | 0.0572631i | ||||
\(869\) | 27.3630 | − | 9.95932i | 0.928226 | − | 0.337847i | ||||
\(870\) | −16.0482 | − | 15.0520i | −0.544084 | − | 0.510310i | ||||
\(871\) | 4.09740 | + | 3.43813i | 0.138835 | + | 0.116497i | ||||
\(872\) | 16.6743 | − | 11.6755i | 0.564664 | − | 0.395382i | ||||
\(873\) | −9.09272 | + | 0.662390i | −0.307742 | + | 0.0224185i | ||||
\(874\) | 2.15649 | + | 27.5152i | 0.0729442 | + | 0.930714i | ||||
\(875\) | 3.48308 | − | 24.0343i | 0.117750 | − | 0.812507i | ||||
\(876\) | 24.1407 | − | 6.28065i | 0.815638 | − | 0.212204i | ||||
\(877\) | −0.964956 | + | 0.0844227i | −0.0325843 | + | 0.00285075i | −0.103436 | − | 0.994636i | \(-0.532984\pi\) |
0.0708520 | + | 0.997487i | \(0.477428\pi\) | |||||||
\(878\) | −32.7934 | + | 15.2918i | −1.10672 | + | 0.516073i | ||||
\(879\) | −27.7083 | − | 28.1143i | −0.934577 | − | 0.948271i | ||||
\(880\) | 0.784038 | − | 5.76201i | 0.0264299 | − | 0.194237i | ||||
\(881\) | −47.3202 | + | 27.3203i | −1.59426 | + | 0.920445i | −0.601693 | + | 0.798728i | \(0.705507\pi\) |
−0.992565 | + | 0.121717i | \(0.961160\pi\) | |||||||
\(882\) | −2.98289 | + | 6.16122i | −0.100439 | + | 0.207459i | ||||
\(883\) | 29.6339 | − | 42.3215i | 0.997259 | − | 1.42423i | 0.0937841 | − | 0.995593i | \(-0.470104\pi\) |
0.903475 | − | 0.428641i | \(-0.141007\pi\) | |||||||
\(884\) | 1.18038 | + | 6.69426i | 0.0397005 | + | 0.225152i | ||||
\(885\) | −0.959190 | + | 6.68492i | −0.0322428 | + | 0.224711i | ||||
\(886\) | 3.21103 | + | 5.56167i | 0.107877 | + | 0.186848i | ||||
\(887\) | 14.1291 | + | 1.23614i | 0.474409 | + | 0.0415054i | 0.321853 | − | 0.946790i | \(-0.395694\pi\) |
0.152555 | + | 0.988295i | \(0.451250\pi\) | |||||||
\(888\) | 20.9041 | + | 0.152044i | 0.701495 | + | 0.00510225i | ||||
\(889\) | −2.64361 | + | 7.26325i | −0.0886637 | + | 0.243602i | ||||
\(890\) | 0.692020 | − | 0.748658i | 0.0231965 | − | 0.0250951i | ||||
\(891\) | 0.680838 | − | 23.3955i | 0.0228089 | − | 0.783778i | ||||
\(892\) | 4.94303 | − | 4.94303i | 0.165505 | − | 0.165505i | ||||
\(893\) | 0.128034 | − | 14.1440i | 0.00428449 | − | 0.473311i | ||||
\(894\) | 18.3242 | − | 8.38302i | 0.612854 | − | 0.280370i | ||||
\(895\) | 25.5650 | − | 16.1312i | 0.854544 | − | 0.539205i | ||||
\(896\) | 1.39623 | − | 1.66396i | 0.0466448 | − | 0.0555891i | ||||
\(897\) | 20.6151 | − | 24.2084i | 0.688320 | − | 0.808294i | ||||
\(898\) | 4.00016 | + | 1.86531i | 0.133487 | + | 0.0622461i | ||||
\(899\) | 38.7818 | − | 32.5418i | 1.29344 | − | 1.08533i | ||||
\(900\) | 4.21773 | − | 14.3948i | 0.140591 | − | 0.479827i | ||||
\(901\) | −9.45390 | + | 16.3746i | −0.314955 | + | 0.545518i | ||||
\(902\) | −7.51650 | + | 10.7347i | −0.250272 | + | 0.357425i | ||||
\(903\) | −28.8624 | − | 5.30595i | −0.960480 | − | 0.176571i | ||||
\(904\) | 3.47451 | + | 2.00601i | 0.115561 | + | 0.0667189i | ||||
\(905\) | −10.4466 | + | 32.6378i | −0.347256 | + | 1.08492i | ||||
\(906\) | 6.43363 | − | 13.5390i | 0.213743 | − | 0.449803i | ||||
\(907\) | 2.72049 | − | 5.83412i | 0.0903325 | − | 0.193719i | −0.855951 | − | 0.517057i | \(-0.827027\pi\) |
0.946283 | + | 0.323338i | \(0.104805\pi\) | |||||||
\(908\) | −1.97879 | + | 0.922725i | −0.0656685 | + | 0.0306217i | ||||
\(909\) | −8.06344 | + | 1.30116i | −0.267447 | + | 0.0431568i | ||||
\(910\) | 13.7350 | + | 3.10759i | 0.455312 | + | 0.103015i | ||||
\(911\) | − | 31.9485i | − | 1.05850i | −0.848466 | − | 0.529250i | \(-0.822473\pi\) | ||
0.848466 | − | 0.529250i | \(-0.177527\pi\) | |||||||
\(912\) | −6.89365 | + | 3.07857i | −0.228272 | + | 0.101942i | ||||
\(913\) | 13.2068 | + | 13.2068i | 0.437080 | + | 0.437080i | ||||
\(914\) | −0.864251 | + | 4.90141i | −0.0285869 | + | 0.162124i | ||||
\(915\) | −26.1961 | − | 8.59531i | −0.866017 | − | 0.284152i | ||||
\(916\) | −12.8754 | − | 4.68627i | −0.425415 | − | 0.154839i | ||||
\(917\) | −18.7266 | − | 8.73235i | −0.618406 | − | 0.288368i | ||||
\(918\) | −11.3542 | − | 4.41544i | −0.374744 | − | 0.145731i | ||||
\(919\) | −23.4413 | + | 13.5339i | −0.773258 | + | 0.446441i | −0.834036 | − | 0.551710i | \(-0.813975\pi\) |
0.0607774 | + | 0.998151i | \(0.480642\pi\) | |||||||
\(920\) | 3.00439 | + | 13.8358i | 0.0990519 | + | 0.456154i | ||||
\(921\) | −11.9194 | + | 8.21753i | −0.392759 | + | 0.270777i | ||||
\(922\) | 32.6510 | + | 22.8625i | 1.07530 | + | 0.752936i | ||||
\(923\) | 10.1256 | + | 37.7893i | 0.333289 | + | 1.24385i | ||||
\(924\) | −5.67010 | + | 7.97368i | −0.186533 | + | 0.262315i | ||||
\(925\) | −59.3365 | − | 10.9945i | −1.95097 | − | 0.361497i | ||||
\(926\) | 9.90004 | + | 27.2001i | 0.325336 | + | 0.893852i | ||||
\(927\) | 0.0610524 | − | 0.215275i | 0.00200522 | − | 0.00707055i | ||||
\(928\) | 0.495132 | + | 5.65938i | 0.0162535 | + | 0.185778i | ||||
\(929\) | −4.47775 | + | 25.3946i | −0.146910 | + | 0.833170i | 0.818903 | + | 0.573932i | \(0.194582\pi\) |
−0.965813 | + | 0.259238i | \(0.916529\pi\) | |||||||
\(930\) | 31.7312 | + | 13.5773i | 1.04051 | + | 0.445218i | ||||
\(931\) | −9.91560 | + | 0.777129i | −0.324971 | + | 0.0254694i | ||||
\(932\) | −15.5854 | − | 15.5854i | −0.510517 | − | 0.510517i | ||||
\(933\) | 24.0591 | − | 40.9803i | 0.787658 | − | 1.34163i | ||||
\(934\) | −18.5857 | + | 22.1496i | −0.608142 | + | 0.724756i | ||||
\(935\) | 12.5731 | + | 5.27200i | 0.411185 | + | 0.172413i | ||||
\(936\) | 8.12927 | + | 3.09345i | 0.265714 | + | 0.101113i | ||||
\(937\) | −2.48715 | + | 28.4283i | −0.0812517 | + | 0.928712i | 0.840724 | + | 0.541464i | \(0.182130\pi\) |
−0.921976 | + | 0.387248i | \(0.873426\pi\) | |||||||
\(938\) | 3.87072 | + | 1.03716i | 0.126383 | + | 0.0338643i | ||||
\(939\) | 2.35369 | − | 24.8221i | 0.0768097 | − | 0.810037i | ||||
\(940\) | −0.915870 | − | 7.19798i | −0.0298724 | − | 0.234772i | ||||
\(941\) | 24.8784 | − | 4.38673i | 0.811012 | − | 0.143003i | 0.247262 | − | 0.968949i | \(-0.420469\pi\) |
0.563750 | + | 0.825945i | \(0.309358\pi\) | |||||||
\(942\) | −11.0467 | − | 13.3610i | −0.359919 | − | 0.435326i | ||||
\(943\) | 8.25795 | − | 30.8191i | 0.268916 | − | 1.00361i | ||||
\(944\) | 1.33576 | − | 1.12084i | 0.0434754 | − | 0.0364802i | ||||
\(945\) | −17.5315 | + | 18.1551i | −0.570299 | + | 0.590586i | ||||
\(946\) | 19.0616 | + | 6.93784i | 0.619745 | + | 0.225569i | ||||
\(947\) | −2.27490 | − | 26.0022i | −0.0739243 | − | 0.844959i | −0.939135 | − | 0.343549i | \(-0.888371\pi\) |
0.865210 | − | 0.501409i | \(-0.167185\pi\) | |||||||
\(948\) | −16.7247 | − | 9.81886i | −0.543192 | − | 0.318902i | ||||
\(949\) | − | 41.7549i | − | 1.35542i | ||||||
\(950\) | 21.1486 | − | 5.26668i | 0.686150 | − | 0.170874i | ||||
\(951\) | −43.8952 | + | 20.0813i | −1.42340 | + | 0.651180i | ||||
\(952\) | 2.92103 | + | 4.17166i | 0.0946711 | + | 0.135204i | ||||
\(953\) | 48.7398 | − | 4.26418i | 1.57884 | − | 0.138130i | 0.736258 | − | 0.676701i | \(-0.236591\pi\) |
0.842580 | + | 0.538571i | \(0.181036\pi\) | |||||||
\(954\) | 11.7909 | + | 21.1264i | 0.381746 | + | 0.683991i | ||||
\(955\) | −1.24668 | + | 2.36969i | −0.0403417 | + | 0.0766814i | ||||
\(956\) | −13.9453 | − | 16.6193i | −0.451023 | − | 0.537508i | ||||
\(957\) | −4.26013 | − | 25.2322i | −0.137710 | − | 0.815641i | ||||
\(958\) | −26.7207 | + | 7.15980i | −0.863308 | + | 0.231323i | ||||
\(959\) | 0.483763 | + | 2.74356i | 0.0156215 | + | 0.0885941i | ||||
\(960\) | −3.29039 | + | 2.04288i | −0.106197 | + | 0.0659336i | ||||
\(961\) | −24.2071 | + | 41.9279i | −0.780874 | + | 1.35251i | ||||
\(962\) | 9.05680 | − | 33.8004i | 0.292003 | − | 1.08977i | ||||
\(963\) | 24.2295 | + | 24.9448i | 0.780784 | + | 0.803836i | ||||
\(964\) | 7.08251 | + | 19.4590i | 0.228112 | + | 0.626734i | ||||
\(965\) | −5.67594 | + | 13.5365i | −0.182715 | + | 0.435754i | ||||
\(966\) | 6.33274 | − | 22.9647i | 0.203753 | − | 0.738876i | ||||
\(967\) | −1.71151 | − | 2.44428i | −0.0550383 | − | 0.0786029i | 0.790690 | − | 0.612217i | \(-0.209722\pi\) |
−0.845728 | + | 0.533614i | \(0.820833\pi\) | |||||||
\(968\) | −2.99594 | + | 2.99594i | −0.0962931 | + | 0.0962931i | ||||
\(969\) | −2.78873 | − | 17.4797i | −0.0895870 | − | 0.561530i | ||||
\(970\) | −4.56903 | − | 5.02988i | −0.146703 | − | 0.161500i | ||||
\(971\) | 3.21877 | + | 0.567557i | 0.103295 | + | 0.0182138i | 0.225057 | − | 0.974346i | \(-0.427743\pi\) |
−0.121762 | + | 0.992559i | \(0.538854\pi\) | |||||||
\(972\) | −12.2979 | + | 9.57927i | −0.394454 | + | 0.307255i | ||||
\(973\) | 9.63907 | + | 20.6711i | 0.309014 | + | 0.662683i | ||||
\(974\) | −5.89709 | + | 2.14636i | −0.188955 | + | 0.0687739i | ||||
\(975\) | −21.5419 | − | 12.8997i | −0.689892 | − | 0.413122i | ||||
\(976\) | 3.55930 | + | 6.16488i | 0.113930 | + | 0.197333i | ||||
\(977\) | 46.2751 | − | 12.3994i | 1.48047 | − | 0.396691i | 0.573964 | − | 0.818881i | \(-0.305405\pi\) |
0.906508 | + | 0.422190i | \(0.138738\pi\) | |||||||
\(978\) | −0.469176 | + | 2.55214i | −0.0150026 | + | 0.0816085i | ||||
\(979\) | 1.16769 | − | 0.205895i | 0.0373194 | − | 0.00658042i | ||||
\(980\) | −4.98600 | + | 1.08269i | −0.159272 | + | 0.0345852i | ||||
\(981\) | 59.9784 | + | 11.4778i | 1.91496 | + | 0.366458i | ||||
\(982\) | 1.14600 | − | 13.0989i | 0.0365704 | − | 0.418002i | ||||
\(983\) | 25.9425 | − | 55.6339i | 0.827438 | − | 1.77445i | 0.228709 | − | 0.973495i | \(-0.426550\pi\) |
0.598729 | − | 0.800951i | \(-0.295673\pi\) | |||||||
\(984\) | 8.70003 | − | 0.697432i | 0.277347 | − | 0.0222333i | ||||
\(985\) | 32.0664 | − | 34.6909i | 1.02172 | − | 1.10534i | ||||
\(986\) | −13.1169 | − | 2.31286i | −0.417727 | − | 0.0736566i | ||||
\(987\) | −4.25889 | + | 11.4416i | −0.135562 | + | 0.364190i | ||||
\(988\) | 2.08179 | + | 12.4652i | 0.0662306 | + | 0.396571i | ||||
\(989\) | −49.3884 | −1.57046 | ||||||||
\(990\) | 14.0384 | − | 10.3568i | 0.446170 | − | 0.329160i | ||||
\(991\) | 0.247060 | + | 0.207308i | 0.00784813 | + | 0.00658536i | 0.646703 | − | 0.762742i | \(-0.276147\pi\) |
−0.638855 | + | 0.769327i | \(0.720592\pi\) | |||||||
\(992\) | −3.76615 | − | 8.07653i | −0.119575 | − | 0.256430i | ||||
\(993\) | 0.307012 | − | 42.2103i | 0.00974273 | − | 1.33950i | ||||
\(994\) | 18.8402 | + | 22.4529i | 0.597576 | + | 0.712163i | ||||
\(995\) | −11.9302 | − | 3.81857i | −0.378212 | − | 0.121057i | ||||
\(996\) | 1.17427 | − | 12.3839i | 0.0372081 | − | 0.392397i | ||||
\(997\) | 30.0003 | + | 21.0064i | 0.950118 | + | 0.665280i | 0.942328 | − | 0.334690i | \(-0.108631\pi\) |
0.00778985 | + | 0.999970i | \(0.497520\pi\) | |||||||
\(998\) | 14.7084 | + | 10.2990i | 0.465587 | + | 0.326008i | ||||
\(999\) | 43.3674 | + | 45.3024i | 1.37208 | + | 1.43331i |
(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 | 570.2.bi.a.473.38 | yes | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.473.2 | yes | 480 | |
5.2 | odd | 4 | inner | 570.2.bi.a.17.28 | yes | 480 | |
15.2 | even | 4 | inner | 570.2.bi.a.17.9 | ✓ | 480 | |
19.9 | even | 9 | inner | 570.2.bi.a.503.9 | yes | 480 | |
57.47 | odd | 18 | inner | 570.2.bi.a.503.28 | yes | 480 | |
95.47 | odd | 36 | inner | 570.2.bi.a.47.2 | yes | 480 | |
285.47 | even | 36 | inner | 570.2.bi.a.47.38 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.17.9 | ✓ | 480 | 15.2 | even | 4 | inner | |
570.2.bi.a.17.28 | yes | 480 | 5.2 | odd | 4 | inner | |
570.2.bi.a.47.2 | yes | 480 | 95.47 | odd | 36 | inner | |
570.2.bi.a.47.38 | yes | 480 | 285.47 | even | 36 | inner | |
570.2.bi.a.473.2 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.473.38 | yes | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.503.9 | yes | 480 | 19.9 | even | 9 | inner | |
570.2.bi.a.503.28 | yes | 480 | 57.47 | odd | 18 | inner |