Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(95,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bn (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 95.17 | ||
Character | \(\chi\) | \(=\) | 572.95 |
Dual form | 572.2.bn.a.283.17 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17222 | − | 0.791139i | −0.828885 | − | 0.559419i | ||||
\(3\) | −1.67971 | + | 1.51242i | −0.969780 | + | 0.873194i | −0.991959 | − | 0.126560i | \(-0.959606\pi\) |
0.0221792 | + | 0.999754i | \(0.492940\pi\) | |||||||
\(4\) | 0.748199 | + | 1.85478i | 0.374100 | + | 0.927388i | ||||
\(5\) | −0.747543 | − | 1.02890i | −0.334311 | − | 0.460140i | 0.608458 | − | 0.793586i | \(-0.291788\pi\) |
−0.942769 | + | 0.333446i | \(0.891788\pi\) | |||||||
\(6\) | 3.16552 | − | 0.444002i | 1.29232 | − | 0.181263i | ||||
\(7\) | 0.696450 | + | 0.627087i | 0.263233 | + | 0.237016i | 0.790169 | − | 0.612889i | \(-0.209993\pi\) |
−0.526936 | + | 0.849905i | \(0.676659\pi\) | |||||||
\(8\) | 0.590331 | − | 2.76614i | 0.208714 | − | 0.977977i | ||||
\(9\) | 0.220432 | − | 2.09727i | 0.0734772 | − | 0.699089i | ||||
\(10\) | 0.0622786 | + | 1.79751i | 0.0196942 | + | 0.568423i | ||||
\(11\) | −3.23295 | + | 0.740297i | −0.974771 | + | 0.223208i | ||||
\(12\) | −4.06195 | − | 1.98389i | −1.17258 | − | 0.572701i | ||||
\(13\) | −3.42643 | + | 1.12230i | −0.950322 | + | 0.311269i | ||||
\(14\) | −0.320280 | − | 1.28607i | −0.0855985 | − | 0.343717i | ||||
\(15\) | 2.81178 | + | 0.597663i | 0.725999 | + | 0.154316i | ||||
\(16\) | −2.88040 | + | 2.77549i | −0.720099 | + | 0.693872i | ||||
\(17\) | 1.96269 | − | 4.40828i | 0.476023 | − | 1.06917i | −0.502790 | − | 0.864409i | \(-0.667693\pi\) |
0.978813 | − | 0.204757i | \(-0.0656403\pi\) | |||||||
\(18\) | −1.91762 | + | 2.28407i | −0.451988 | + | 0.538359i | ||||
\(19\) | 1.19924 | + | 5.64197i | 0.275124 | + | 1.29436i | 0.871001 | + | 0.491282i | \(0.163471\pi\) |
−0.595877 | + | 0.803076i | \(0.703195\pi\) | |||||||
\(20\) | 1.34908 | − | 2.15635i | 0.301663 | − | 0.482175i | ||||
\(21\) | −2.11825 | −0.462240 | ||||||||
\(22\) | 4.37541 | + | 1.68992i | 0.932840 | + | 0.360292i | ||||
\(23\) | 4.35390 | + | 2.51373i | 0.907852 | + | 0.524149i | 0.879739 | − | 0.475456i | \(-0.157717\pi\) |
0.0281125 | + | 0.999605i | \(0.491050\pi\) | |||||||
\(24\) | 3.19196 | + | 5.53913i | 0.651557 | + | 1.13067i | ||||
\(25\) | 1.04526 | − | 3.21698i | 0.209052 | − | 0.643397i | ||||
\(26\) | 4.90443 | + | 1.39521i | 0.961837 | + | 0.273622i | ||||
\(27\) | −1.18398 | − | 1.62961i | −0.227857 | − | 0.313619i | ||||
\(28\) | −0.642022 | + | 1.76095i | −0.121331 | + | 0.332787i | ||||
\(29\) | 0.772565 | − | 3.63463i | 0.143462 | − | 0.674934i | −0.846359 | − | 0.532613i | \(-0.821210\pi\) |
0.989821 | − | 0.142321i | \(-0.0454566\pi\) | |||||||
\(30\) | −2.82319 | − | 2.92510i | −0.515443 | − | 0.534048i | ||||
\(31\) | −6.92979 | − | 5.03479i | −1.24463 | − | 0.904275i | −0.246730 | − | 0.969084i | \(-0.579356\pi\) |
−0.997898 | + | 0.0648096i | \(0.979356\pi\) | |||||||
\(32\) | 5.57225 | − | 0.974689i | 0.985044 | − | 0.172302i | ||||
\(33\) | 4.31077 | − | 6.13304i | 0.750409 | − | 1.06763i | ||||
\(34\) | −5.78827 | + | 3.61471i | −0.992680 | + | 0.619918i | ||||
\(35\) | 0.124586 | − | 1.18535i | 0.0210588 | − | 0.200361i | ||||
\(36\) | 4.05489 | − | 1.16032i | 0.675815 | − | 0.193387i | ||||
\(37\) | 0.547349 | − | 2.57507i | 0.0899836 | − | 0.423340i | −0.909979 | − | 0.414655i | \(-0.863902\pi\) |
0.999962 | − | 0.00868452i | \(-0.00276440\pi\) | |||||||
\(38\) | 3.05781 | − | 7.56240i | 0.496043 | − | 1.22678i | ||||
\(39\) | 4.05803 | − | 7.06732i | 0.649805 | − | 1.13168i | ||||
\(40\) | −3.28739 | + | 1.46041i | −0.519782 | + | 0.230911i | ||||
\(41\) | −5.27268 | − | 5.85591i | −0.823455 | − | 0.914539i | 0.174079 | − | 0.984732i | \(-0.444305\pi\) |
−0.997533 | + | 0.0701925i | \(0.977639\pi\) | |||||||
\(42\) | 2.48305 | + | 1.67583i | 0.383143 | + | 0.258586i | ||||
\(43\) | 0.975674 | + | 1.68992i | 0.148789 | + | 0.257710i | 0.930780 | − | 0.365580i | \(-0.119129\pi\) |
−0.781991 | + | 0.623289i | \(0.785796\pi\) | |||||||
\(44\) | −3.79198 | − | 5.44251i | −0.571662 | − | 0.820489i | ||||
\(45\) | −2.32267 | + | 1.34099i | −0.346243 | + | 0.199903i | ||||
\(46\) | −3.11503 | − | 6.39118i | −0.459286 | − | 0.942329i | ||||
\(47\) | 3.21620 | − | 9.89845i | 0.469131 | − | 1.44384i | −0.384581 | − | 0.923091i | \(-0.625654\pi\) |
0.853712 | − | 0.520746i | \(-0.174346\pi\) | |||||||
\(48\) | 0.640533 | − | 9.01836i | 0.0924530 | − | 1.30169i | ||||
\(49\) | −0.639894 | − | 6.08818i | −0.0914134 | − | 0.869741i | ||||
\(50\) | −3.77036 | + | 2.94407i | −0.533209 | + | 0.416354i | ||||
\(51\) | 3.37040 | + | 10.3730i | 0.471951 | + | 1.45251i | ||||
\(52\) | −4.64527 | − | 5.51557i | −0.644183 | − | 0.764872i | ||||
\(53\) | 8.09402 | + | 5.88065i | 1.11180 | + | 0.807770i | 0.982946 | − | 0.183894i | \(-0.0588703\pi\) |
0.128853 | + | 0.991664i | \(0.458870\pi\) | |||||||
\(54\) | 0.0986389 | + | 2.84696i | 0.0134231 | + | 0.387422i | ||||
\(55\) | 3.17846 | + | 2.77299i | 0.428584 | + | 0.373910i | ||||
\(56\) | 2.14574 | − | 1.55629i | 0.286737 | − | 0.207968i | ||||
\(57\) | −10.5474 | − | 7.66312i | −1.39703 | − | 1.01500i | ||||
\(58\) | −3.78111 | + | 3.64938i | −0.496485 | + | 0.479188i | ||||
\(59\) | 2.83256 | − | 3.14588i | 0.368768 | − | 0.409558i | −0.529990 | − | 0.848004i | \(-0.677804\pi\) |
0.898758 | + | 0.438446i | \(0.144471\pi\) | |||||||
\(60\) | 0.995243 | + | 5.66240i | 0.128485 | + | 0.731013i | ||||
\(61\) | 0.334477 | − | 0.751248i | 0.0428254 | − | 0.0961875i | −0.890866 | − | 0.454266i | \(-0.849901\pi\) |
0.933691 | + | 0.358079i | \(0.116568\pi\) | |||||||
\(62\) | 4.14003 | + | 11.3843i | 0.525784 | + | 1.44581i | ||||
\(63\) | 1.46869 | − | 1.32241i | 0.185037 | − | 0.166608i | ||||
\(64\) | −7.30302 | − | 3.26587i | −0.912877 | − | 0.408234i | ||||
\(65\) | 3.71614 | + | 2.68651i | 0.460931 | + | 0.333220i | ||||
\(66\) | −9.90526 | + | 3.77886i | −1.21925 | + | 0.465145i | ||||
\(67\) | 6.14277 | − | 10.6396i | 0.750459 | − | 1.29983i | −0.197142 | − | 0.980375i | \(-0.563166\pi\) |
0.947600 | − | 0.319458i | \(-0.103501\pi\) | |||||||
\(68\) | 9.64486 | + | 0.342085i | 1.16961 | + | 0.0414839i | ||||
\(69\) | −11.1151 | + | 2.36259i | −1.33810 | + | 0.284422i | ||||
\(70\) | −1.08382 | + | 1.29093i | −0.129541 | + | 0.154296i | ||||
\(71\) | −9.97149 | − | 4.43959i | −1.18340 | − | 0.526883i | −0.281806 | − | 0.959471i | \(-0.590934\pi\) |
−0.901591 | + | 0.432589i | \(0.857600\pi\) | |||||||
\(72\) | −5.67120 | − | 1.84783i | −0.668357 | − | 0.217768i | ||||
\(73\) | 2.87323 | + | 8.84290i | 0.336286 | + | 1.03498i | 0.966085 | + | 0.258224i | \(0.0831374\pi\) |
−0.629799 | + | 0.776758i | \(0.716863\pi\) | |||||||
\(74\) | −2.67885 | + | 2.58552i | −0.311410 | + | 0.300561i | ||||
\(75\) | 3.10968 | + | 6.98446i | 0.359075 | + | 0.806496i | ||||
\(76\) | −9.56733 | + | 6.44564i | −1.09745 | + | 0.739366i | ||||
\(77\) | −2.71582 | − | 1.51176i | −0.309496 | − | 0.172281i | ||||
\(78\) | −10.3481 | + | 5.07399i | −1.17170 | + | 0.574517i | ||||
\(79\) | −2.68450 | − | 1.95040i | −0.302030 | − | 0.219438i | 0.426439 | − | 0.904516i | \(-0.359768\pi\) |
−0.728469 | + | 0.685079i | \(0.759768\pi\) | |||||||
\(80\) | 5.00893 | + | 0.888856i | 0.560015 | + | 0.0993772i | ||||
\(81\) | 10.6416 | + | 2.26194i | 1.18240 | + | 0.251327i | ||||
\(82\) | 1.54791 | + | 11.0358i | 0.170938 | + | 1.21870i | ||||
\(83\) | −7.45896 | − | 10.2664i | −0.818727 | − | 1.12688i | −0.989918 | − | 0.141643i | \(-0.954762\pi\) |
0.171191 | − | 0.985238i | \(-0.445238\pi\) | |||||||
\(84\) | −1.58487 | − | 3.92888i | −0.172924 | − | 0.428676i | ||||
\(85\) | −6.00290 | + | 1.27595i | −0.651105 | + | 0.138397i | ||||
\(86\) | 0.193254 | − | 2.75285i | 0.0208391 | − | 0.296847i | ||||
\(87\) | 4.19939 | + | 7.27356i | 0.450222 | + | 0.779808i | ||||
\(88\) | 0.139251 | + | 9.37980i | 0.0148442 | + | 0.999890i | ||||
\(89\) | 1.39647 | + | 0.806254i | 0.148026 | + | 0.0854627i | 0.572184 | − | 0.820126i | \(-0.306096\pi\) |
−0.424158 | + | 0.905588i | \(0.639430\pi\) | |||||||
\(90\) | 3.78359 | + | 0.265613i | 0.398825 | + | 0.0279981i | ||||
\(91\) | −3.09012 | − | 1.36705i | −0.323932 | − | 0.143305i | ||||
\(92\) | −1.40482 | + | 9.95629i | −0.146462 | + | 1.03802i | ||||
\(93\) | 19.2547 | − | 2.02375i | 1.99662 | − | 0.209853i | ||||
\(94\) | −11.6011 | + | 9.05870i | −1.19657 | + | 0.934334i | ||||
\(95\) | 4.90857 | − | 5.45152i | 0.503608 | − | 0.559314i | ||||
\(96\) | −7.88562 | + | 10.0648i | −0.804823 | + | 1.02723i | ||||
\(97\) | 11.7420 | + | 1.23414i | 1.19222 | + | 0.125307i | 0.679781 | − | 0.733416i | \(-0.262075\pi\) |
0.512440 | + | 0.858723i | \(0.328742\pi\) | |||||||
\(98\) | −4.06650 | + | 7.64294i | −0.410779 | + | 0.772053i | ||||
\(99\) | 0.839956 | + | 6.94354i | 0.0844187 | + | 0.697852i | ||||
\(100\) | 6.74885 | − | 0.468219i | 0.674885 | − | 0.0468219i | ||||
\(101\) | 1.04520 | + | 2.34757i | 0.104002 | + | 0.233592i | 0.958049 | − | 0.286603i | \(-0.0925261\pi\) |
−0.854048 | + | 0.520195i | \(0.825859\pi\) | |||||||
\(102\) | 4.25565 | − | 14.8259i | 0.421372 | − | 1.46799i | ||||
\(103\) | −4.55836 | + | 1.48110i | −0.449149 | + | 0.145937i | −0.524853 | − | 0.851193i | \(-0.675880\pi\) |
0.0757040 | + | 0.997130i | \(0.475880\pi\) | |||||||
\(104\) | 1.08169 | + | 10.1405i | 0.106069 | + | 0.994359i | ||||
\(105\) | 1.58348 | + | 2.17947i | 0.154532 | + | 0.212695i | ||||
\(106\) | −4.83556 | − | 13.2969i | −0.469672 | − | 1.29151i | ||||
\(107\) | −5.06692 | − | 5.62738i | −0.489837 | − | 0.544019i | 0.446656 | − | 0.894706i | \(-0.352615\pi\) |
−0.936493 | + | 0.350687i | \(0.885948\pi\) | |||||||
\(108\) | 2.13671 | − | 3.41530i | 0.205605 | − | 0.328637i | ||||
\(109\) | −15.5413 | −1.48859 | −0.744294 | − | 0.667852i | \(-0.767214\pi\) | ||||
−0.744294 | + | 0.667852i | \(0.767214\pi\) | |||||||
\(110\) | −1.53204 | − | 5.76516i | −0.146074 | − | 0.549686i | ||||
\(111\) | 2.97520 | + | 5.15319i | 0.282393 | + | 0.489119i | ||||
\(112\) | −3.74652 | + | 0.126731i | −0.354013 | + | 0.0119749i | ||||
\(113\) | −2.87588 | + | 0.611287i | −0.270540 | + | 0.0575050i | −0.341184 | − | 0.939997i | \(-0.610828\pi\) |
0.0706440 | + | 0.997502i | \(0.477495\pi\) | |||||||
\(114\) | 6.30126 | + | 17.3273i | 0.590167 | + | 1.62285i | ||||
\(115\) | −0.668344 | − | 6.35887i | −0.0623234 | − | 0.592968i | ||||
\(116\) | 7.31947 | − | 1.28649i | 0.679595 | − | 0.119448i | ||||
\(117\) | 1.59846 | + | 7.43353i | 0.147778 | + | 0.687230i | ||||
\(118\) | −5.80921 | + | 1.44671i | −0.534781 | + | 0.133181i | ||||
\(119\) | 4.13129 | − | 1.83937i | 0.378715 | − | 0.168615i | ||||
\(120\) | 3.31310 | − | 7.42496i | 0.302443 | − | 0.677803i | ||||
\(121\) | 9.90392 | − | 4.78668i | 0.900356 | − | 0.435153i | ||||
\(122\) | −0.986422 | + | 0.616010i | −0.0893065 | + | 0.0557709i | ||||
\(123\) | 17.7131 | + | 1.86173i | 1.59714 | + | 0.167866i | ||||
\(124\) | 4.15354 | − | 16.6202i | 0.372999 | − | 1.49254i | ||||
\(125\) | −10.1391 | + | 3.29439i | −0.906868 | + | 0.294659i | ||||
\(126\) | −2.76784 | + | 0.388222i | −0.246578 | + | 0.0345856i | ||||
\(127\) | 0.866859 | + | 8.24761i | 0.0769213 | + | 0.731857i | 0.963215 | + | 0.268733i | \(0.0866049\pi\) |
−0.886293 | + | 0.463124i | \(0.846728\pi\) | |||||||
\(128\) | 5.97699 | + | 9.60602i | 0.528296 | + | 0.849060i | ||||
\(129\) | −4.19470 | − | 1.36294i | −0.369323 | − | 0.120000i | ||||
\(130\) | −2.23074 | − | 6.08916i | −0.195648 | − | 0.534055i | ||||
\(131\) | 9.70870 | 0.848253 | 0.424127 | − | 0.905603i | \(-0.360581\pi\) | ||||
0.424127 | + | 0.905603i | \(0.360581\pi\) | |||||||
\(132\) | 14.6007 | + | 3.40678i | 1.27083 | + | 0.296522i | ||||
\(133\) | −2.70280 | + | 4.68138i | −0.234362 | + | 0.405927i | ||||
\(134\) | −15.6181 | + | 7.61216i | −1.34920 | + | 0.657590i | ||||
\(135\) | −0.791637 | + | 2.43641i | −0.0681333 | + | 0.209693i | ||||
\(136\) | −11.0353 | − | 8.03142i | −0.946266 | − | 0.688689i | ||||
\(137\) | −6.59955 | + | 14.8228i | −0.563838 | + | 1.26640i | 0.376582 | + | 0.926383i | \(0.377099\pi\) |
−0.940419 | + | 0.340017i | \(0.889567\pi\) | |||||||
\(138\) | 14.8985 | + | 6.02411i | 1.26824 | + | 0.512806i | ||||
\(139\) | −11.8691 | + | 13.1820i | −1.00672 | + | 1.11808i | −0.0137297 | + | 0.999906i | \(0.504370\pi\) |
−0.992993 | + | 0.118173i | \(0.962296\pi\) | |||||||
\(140\) | 2.29178 | − | 0.655803i | 0.193691 | − | 0.0554254i | ||||
\(141\) | 9.56829 | + | 21.4907i | 0.805795 | + | 1.80985i | ||||
\(142\) | 8.17644 | + | 13.0930i | 0.686152 | + | 1.09874i | ||||
\(143\) | 10.2467 | − | 6.16491i | 0.856868 | − | 0.515535i | ||||
\(144\) | 5.18600 | + | 6.65276i | 0.432167 | + | 0.554397i | ||||
\(145\) | −4.31721 | + | 1.92215i | −0.358525 | + | 0.159626i | ||||
\(146\) | 3.62790 | − | 12.6389i | 0.300247 | − | 1.04601i | ||||
\(147\) | 10.2827 | + | 9.25858i | 0.848103 | + | 0.763635i | ||||
\(148\) | 5.18571 | − | 0.911459i | 0.426263 | − | 0.0749215i | ||||
\(149\) | −6.47003 | − | 2.88064i | −0.530046 | − | 0.235992i | 0.124222 | − | 0.992254i | \(-0.460356\pi\) |
−0.654268 | + | 0.756263i | \(0.727023\pi\) | |||||||
\(150\) | 1.88044 | − | 10.6475i | 0.153538 | − | 0.869366i | ||||
\(151\) | −5.00064 | − | 1.62481i | −0.406946 | − | 0.132225i | 0.0983888 | − | 0.995148i | \(-0.468631\pi\) |
−0.505335 | + | 0.862923i | \(0.668631\pi\) | |||||||
\(152\) | 16.3144 | + | 0.0133765i | 1.32327 | + | 0.00108498i | ||||
\(153\) | −8.81270 | − | 5.08801i | −0.712464 | − | 0.411342i | ||||
\(154\) | 1.98753 | + | 3.92070i | 0.160159 | + | 0.315939i | ||||
\(155\) | 10.8938i | 0.875012i | ||||||||
\(156\) | 16.1445 | + | 2.23897i | 1.29260 | + | 0.179261i | ||||
\(157\) | 7.23929 | − | 22.2802i | 0.577758 | − | 1.77816i | −0.0488318 | − | 0.998807i | \(-0.515550\pi\) |
0.626590 | − | 0.779349i | \(-0.284450\pi\) | |||||||
\(158\) | 1.60379 | + | 4.41012i | 0.127590 | + | 0.350850i | ||||
\(159\) | −22.4896 | + | 2.36375i | −1.78354 | + | 0.187458i | ||||
\(160\) | −5.16836 | − | 5.00469i | −0.408594 | − | 0.395656i | ||||
\(161\) | 1.45595 | + | 4.48096i | 0.114745 | + | 0.353149i | ||||
\(162\) | −10.6848 | − | 11.0705i | −0.839476 | − | 0.869779i | ||||
\(163\) | −2.43315 | + | 23.1499i | −0.190579 | + | 1.81324i | 0.313504 | + | 0.949587i | \(0.398497\pi\) |
−0.504083 | + | 0.863655i | \(0.668170\pi\) | |||||||
\(164\) | 6.91638 | − | 14.1610i | 0.540079 | − | 1.10579i | ||||
\(165\) | −9.53280 | + | 0.149340i | −0.742128 | + | 0.0116261i | ||||
\(166\) | 0.621414 | + | 17.9355i | 0.0482311 | + | 1.39207i | ||||
\(167\) | −5.66789 | − | 12.7303i | −0.438594 | − | 0.985099i | −0.988687 | − | 0.149995i | \(-0.952074\pi\) |
0.550092 | − | 0.835104i | \(-0.314592\pi\) | |||||||
\(168\) | −1.25047 | + | 5.85936i | −0.0964757 | + | 0.452060i | ||||
\(169\) | 10.4809 | − | 7.69095i | 0.806223 | − | 0.591612i | ||||
\(170\) | 8.04617 | + | 3.25342i | 0.617113 | + | 0.249526i | ||||
\(171\) | 12.0971 | − | 1.27145i | 0.925086 | − | 0.0972305i | ||||
\(172\) | −2.40442 | + | 3.07405i | −0.183335 | + | 0.234394i | ||||
\(173\) | −1.18002 | − | 5.55155i | −0.0897151 | − | 0.422076i | −0.999968 | − | 0.00802328i | \(-0.997446\pi\) |
0.910253 | − | 0.414053i | \(-0.135887\pi\) | |||||||
\(174\) | 0.831783 | − | 11.8485i | 0.0630573 | − | 0.898234i | ||||
\(175\) | 2.74530 | − | 1.58500i | 0.207525 | − | 0.119815i | ||||
\(176\) | 7.25749 | − | 11.1054i | 0.547054 | − | 0.837098i | ||||
\(177\) | 9.56817i | 0.719187i | ||||||||
\(178\) | −0.999114 | − | 2.04991i | −0.0748868 | − | 0.153647i | ||||
\(179\) | 9.44858 | − | 8.50754i | 0.706220 | − | 0.635883i | −0.235659 | − | 0.971836i | \(-0.575725\pi\) |
0.941879 | + | 0.335952i | \(0.109058\pi\) | |||||||
\(180\) | −4.22506 | − | 3.30470i | −0.314918 | − | 0.246318i | ||||
\(181\) | −12.3909 | + | 9.00249i | −0.921005 | + | 0.669150i | −0.943774 | − | 0.330591i | \(-0.892752\pi\) |
0.0227687 | + | 0.999741i | \(0.492752\pi\) | |||||||
\(182\) | 2.54077 | + | 4.04719i | 0.188335 | + | 0.299998i | ||||
\(183\) | 0.574375 | + | 1.76775i | 0.0424590 | + | 0.130676i | ||||
\(184\) | 9.52356 | − | 10.5596i | 0.702086 | − | 0.778461i | ||||
\(185\) | −3.05867 | + | 1.36181i | −0.224878 | + | 0.100122i | ||||
\(186\) | −24.1718 | − | 12.8609i | −1.77236 | − | 0.943004i | ||||
\(187\) | −3.08185 | + | 15.7047i | −0.225367 | + | 1.14844i | ||||
\(188\) | 20.7658 | − | 1.44068i | 1.51450 | − | 0.105072i | ||||
\(189\) | 0.197323 | − | 1.87740i | 0.0143531 | − | 0.136561i | ||||
\(190\) | −10.0668 | + | 2.50702i | −0.730324 | + | 0.181878i | ||||
\(191\) | 1.33708 | + | 1.20392i | 0.0967480 | + | 0.0871123i | 0.716085 | − | 0.698013i | \(-0.245932\pi\) |
−0.619338 | + | 0.785125i | \(0.712599\pi\) | |||||||
\(192\) | 17.2063 | − | 5.55949i | 1.24176 | − | 0.401221i | ||||
\(193\) | −0.436753 | − | 4.15543i | −0.0314382 | − | 0.299114i | −0.998931 | − | 0.0462173i | \(-0.985283\pi\) |
0.967493 | − | 0.252897i | \(-0.0813833\pi\) | |||||||
\(194\) | −12.7878 | − | 10.7362i | −0.918114 | − | 0.770817i | ||||
\(195\) | −10.3051 | + | 1.10780i | −0.737967 | + | 0.0793314i | ||||
\(196\) | 10.8135 | − | 5.74204i | 0.772390 | − | 0.410145i | ||||
\(197\) | 6.66397 | − | 11.5423i | 0.474788 | − | 0.822357i | −0.524795 | − | 0.851229i | \(-0.675858\pi\) |
0.999583 | + | 0.0288717i | \(0.00919144\pi\) | |||||||
\(198\) | 4.50869 | − | 8.80388i | 0.320419 | − | 0.625664i | ||||
\(199\) | −3.38630 | + | 1.95508i | −0.240048 | + | 0.138592i | −0.615199 | − | 0.788372i | \(-0.710924\pi\) |
0.375151 | + | 0.926964i | \(0.377591\pi\) | |||||||
\(200\) | −8.28156 | − | 4.79042i | −0.585595 | − | 0.338734i | ||||
\(201\) | 5.77342 | + | 27.1618i | 0.407226 | + | 1.91585i | ||||
\(202\) | 0.632042 | − | 3.57877i | 0.0444703 | − | 0.251801i | ||||
\(203\) | 2.81728 | − | 2.04688i | 0.197734 | − | 0.143663i | ||||
\(204\) | −16.7179 | + | 14.0124i | −1.17049 | + | 0.981067i | ||||
\(205\) | −2.08361 | + | 9.80263i | −0.145526 | + | 0.684645i | ||||
\(206\) | 6.51516 | + | 1.87012i | 0.453933 | + | 0.130297i | ||||
\(207\) | 6.23169 | − | 8.57719i | 0.433133 | − | 0.596156i | ||||
\(208\) | 6.75456 | − | 12.7427i | 0.468345 | − | 0.883546i | ||||
\(209\) | −8.05381 | − | 17.3524i | −0.557094 | − | 1.20029i | ||||
\(210\) | −0.131922 | − | 3.80758i | −0.00910345 | − | 0.262748i | ||||
\(211\) | 7.45608 | − | 3.31966i | 0.513298 | − | 0.228535i | −0.133707 | − | 0.991021i | \(-0.542688\pi\) |
0.647005 | + | 0.762486i | \(0.276021\pi\) | |||||||
\(212\) | −4.85135 | + | 19.4125i | −0.333192 | + | 1.33326i | ||||
\(213\) | 23.4637 | − | 7.62381i | 1.60771 | − | 0.522375i | ||||
\(214\) | 1.48750 | + | 10.6052i | 0.101684 | + | 0.724954i | ||||
\(215\) | 1.00940 | − | 2.26716i | 0.0688408 | − | 0.154619i | ||||
\(216\) | −5.20667 | + | 2.31304i | −0.354269 | + | 0.157383i | ||||
\(217\) | −1.66901 | − | 7.85206i | −0.113300 | − | 0.533032i | ||||
\(218\) | 18.2178 | + | 12.2953i | 1.23387 | + | 0.832745i | ||||
\(219\) | −18.2003 | − | 10.5080i | −1.22986 | − | 0.710062i | ||||
\(220\) | −2.76516 | + | 7.97009i | −0.186427 | + | 0.537343i | ||||
\(221\) | −1.77764 | + | 17.3074i | −0.119577 | + | 1.16422i | ||||
\(222\) | 0.589304 | − | 8.39446i | 0.0395515 | − | 0.563400i | ||||
\(223\) | −5.50619 | − | 6.11524i | −0.368722 | − | 0.409507i | 0.530020 | − | 0.847985i | \(-0.322184\pi\) |
−0.898742 | + | 0.438478i | \(0.855518\pi\) | |||||||
\(224\) | 4.49201 | + | 2.81546i | 0.300135 | + | 0.188116i | ||||
\(225\) | −6.51646 | − | 2.90132i | −0.434431 | − | 0.193421i | ||||
\(226\) | 3.85477 | + | 1.55866i | 0.256416 | + | 0.103680i | ||||
\(227\) | −5.88252 | − | 5.29664i | −0.390436 | − | 0.351551i | 0.450412 | − | 0.892821i | \(-0.351277\pi\) |
−0.840849 | + | 0.541270i | \(0.817944\pi\) | |||||||
\(228\) | 6.32183 | − | 25.2966i | 0.418674 | − | 1.67531i | ||||
\(229\) | −2.37290 | + | 3.26602i | −0.156806 | + | 0.215825i | −0.880191 | − | 0.474621i | \(-0.842585\pi\) |
0.723385 | + | 0.690445i | \(0.242585\pi\) | |||||||
\(230\) | −4.24730 | + | 7.98275i | −0.280059 | + | 0.526367i | ||||
\(231\) | 6.84819 | − | 1.56813i | 0.450578 | − | 0.103176i | ||||
\(232\) | −9.59782 | − | 4.28266i | −0.630128 | − | 0.281170i | ||||
\(233\) | −14.2911 | + | 19.6700i | −0.936239 | + | 1.28862i | 0.0211365 | + | 0.999777i | \(0.493272\pi\) |
−0.957376 | + | 0.288846i | \(0.906728\pi\) | |||||||
\(234\) | 4.00721 | − | 9.97834i | 0.261959 | − | 0.652305i | ||||
\(235\) | −12.5888 | + | 4.09035i | −0.821203 | + | 0.266825i | ||||
\(236\) | 7.95422 | + | 2.90003i | 0.517776 | + | 0.188776i | ||||
\(237\) | 7.45900 | − | 0.783972i | 0.484514 | − | 0.0509245i | ||||
\(238\) | −6.29798 | − | 1.11228i | −0.408237 | − | 0.0720983i | ||||
\(239\) | −13.5743 | − | 4.41055i | −0.878046 | − | 0.285295i | −0.164901 | − | 0.986310i | \(-0.552730\pi\) |
−0.713146 | + | 0.701016i | \(0.752730\pi\) | |||||||
\(240\) | −9.75785 | + | 6.08256i | −0.629867 | + | 0.392628i | ||||
\(241\) | −4.02059 | − | 6.96386i | −0.258989 | − | 0.448582i | 0.706982 | − | 0.707231i | \(-0.250056\pi\) |
−0.965971 | + | 0.258649i | \(0.916723\pi\) | |||||||
\(242\) | −15.3965 | − | 2.22433i | −0.989725 | − | 0.142985i | ||||
\(243\) | −16.0624 | + | 9.27365i | −1.03041 | + | 0.594905i | ||||
\(244\) | 1.64365 | + | 0.0582972i | 0.105224 | + | 0.00373209i | ||||
\(245\) | −5.78581 | + | 5.20957i | −0.369642 | + | 0.332827i | ||||
\(246\) | −19.2908 | − | 16.1959i | −1.22994 | − | 1.03261i | ||||
\(247\) | −10.4411 | − | 17.9859i | −0.664350 | − | 1.14442i | ||||
\(248\) | −18.0178 | + | 16.1966i | −1.14413 | + | 1.02848i | ||||
\(249\) | 28.0559 | + | 5.96346i | 1.77797 | + | 0.377919i | ||||
\(250\) | 14.4916 | + | 4.15968i | 0.916527 | + | 0.263081i | ||||
\(251\) | −15.2312 | − | 1.60086i | −0.961385 | − | 0.101046i | −0.389185 | − | 0.921160i | \(-0.627243\pi\) |
−0.572200 | + | 0.820114i | \(0.693910\pi\) | |||||||
\(252\) | 3.55165 | + | 1.73466i | 0.223733 | + | 0.109273i | ||||
\(253\) | −15.9369 | − | 4.90357i | −1.00194 | − | 0.308285i | ||||
\(254\) | 5.50885 | − | 10.3538i | 0.345656 | − | 0.649656i | ||||
\(255\) | 8.15334 | − | 11.2221i | 0.510582 | − | 0.702755i | ||||
\(256\) | 0.593352 | − | 15.9890i | 0.0370845 | − | 0.999312i | ||||
\(257\) | 4.69799 | + | 0.998589i | 0.293053 | + | 0.0622903i | 0.352092 | − | 0.935965i | \(-0.385470\pi\) |
−0.0590394 | + | 0.998256i | \(0.518804\pi\) | |||||||
\(258\) | 3.83884 | + | 4.91626i | 0.238996 | + | 0.306073i | ||||
\(259\) | 1.99600 | − | 1.45018i | 0.124025 | − | 0.0901095i | ||||
\(260\) | −2.20246 | + | 8.90266i | −0.136591 | + | 0.552119i | ||||
\(261\) | −7.45250 | − | 2.42146i | −0.461298 | − | 0.149885i | ||||
\(262\) | −11.3807 | − | 7.68093i | −0.703104 | − | 0.474529i | ||||
\(263\) | −8.74455 | + | 15.1460i | −0.539212 | + | 0.933943i | 0.459735 | + | 0.888056i | \(0.347945\pi\) |
−0.998947 | + | 0.0458864i | \(0.985389\pi\) | |||||||
\(264\) | −14.4201 | − | 15.5447i | −0.887493 | − | 0.956711i | ||||
\(265\) | − | 12.7240i | − | 0.781630i | ||||||
\(266\) | 6.87189 | − | 3.34932i | 0.421343 | − | 0.205360i | ||||
\(267\) | −3.56506 | + | 0.757776i | −0.218178 | + | 0.0463751i | ||||
\(268\) | 24.3301 | + | 3.43293i | 1.48620 | + | 0.209700i | ||||
\(269\) | −9.77921 | − | 4.35398i | −0.596249 | − | 0.265467i | 0.0863447 | − | 0.996265i | \(-0.472481\pi\) |
−0.682594 | + | 0.730798i | \(0.739148\pi\) | |||||||
\(270\) | 2.85551 | − | 2.22971i | 0.173781 | − | 0.135696i | ||||
\(271\) | −1.48525 | + | 6.98756i | −0.0902226 | + | 0.424464i | 0.909734 | + | 0.415191i | \(0.136285\pi\) |
−0.999957 | + | 0.00927315i | \(0.997048\pi\) | |||||||
\(272\) | 6.58179 | + | 18.1450i | 0.399080 | + | 1.10020i | ||||
\(273\) | 7.25804 | − | 2.37730i | 0.439276 | − | 0.143881i | ||||
\(274\) | 19.4630 | − | 12.1545i | 1.17581 | − | 0.734278i | ||||
\(275\) | −0.997754 | + | 11.1741i | −0.0601668 | + | 0.673826i | ||||
\(276\) | −12.6984 | − | 18.8483i | −0.764352 | − | 1.13454i | ||||
\(277\) | −7.16806 | − | 0.753393i | −0.430687 | − | 0.0452670i | −0.113295 | − | 0.993561i | \(-0.536140\pi\) |
−0.317392 | + | 0.948294i | \(0.602807\pi\) | |||||||
\(278\) | 24.3419 | − | 6.06206i | 1.45993 | − | 0.363578i | ||||
\(279\) | −12.0868 | + | 13.4238i | −0.723620 | + | 0.803661i | ||||
\(280\) | −3.20530 | − | 1.04437i | −0.191554 | − | 0.0624132i | ||||
\(281\) | 8.78893 | − | 6.38553i | 0.524304 | − | 0.380929i | −0.293919 | − | 0.955830i | \(-0.594960\pi\) |
0.818223 | + | 0.574901i | \(0.194960\pi\) | |||||||
\(282\) | 5.78601 | − | 32.7617i | 0.344552 | − | 1.95093i | ||||
\(283\) | −8.47208 | − | 9.40920i | −0.503613 | − | 0.559319i | 0.436710 | − | 0.899602i | \(-0.356144\pi\) |
−0.940323 | + | 0.340283i | \(0.889477\pi\) | |||||||
\(284\) | 0.773792 | − | 21.8166i | 0.0459161 | − | 1.29458i | ||||
\(285\) | 16.5808i | 0.982159i | ||||||||
\(286\) | −16.8886 | − | 0.879896i | −0.998646 | − | 0.0520293i | ||||
\(287\) | − | 7.38478i | − | 0.435910i | ||||||
\(288\) | −0.815882 | − | 11.9013i | −0.0480763 | − | 0.701294i | ||||
\(289\) | −4.20556 | − | 4.67074i | −0.247386 | − | 0.274750i | ||||
\(290\) | 6.58141 | + | 1.16234i | 0.386474 | + | 0.0682547i | ||||
\(291\) | −21.5897 | + | 15.6858i | −1.26561 | + | 0.919519i | ||||
\(292\) | −14.2519 | + | 11.9455i | −0.834027 | + | 0.699055i | ||||
\(293\) | −11.1918 | + | 12.4298i | −0.653834 | + | 0.726157i | −0.975329 | − | 0.220755i | \(-0.929148\pi\) |
0.321495 | + | 0.946911i | \(0.395815\pi\) | |||||||
\(294\) | −4.72876 | − | 18.9881i | −0.275787 | − | 1.10741i | ||||
\(295\) | −5.35427 | − | 0.562756i | −0.311738 | − | 0.0327649i | ||||
\(296\) | −6.79989 | − | 3.03419i | −0.395235 | − | 0.176359i | ||||
\(297\) | 5.03415 | + | 4.39195i | 0.292111 | + | 0.254847i | ||||
\(298\) | 5.30531 | + | 8.49544i | 0.307329 | + | 0.492128i | ||||
\(299\) | −17.7395 | − | 3.72675i | −1.02590 | − | 0.215523i | ||||
\(300\) | −10.6280 | + | 10.9935i | −0.613605 | + | 0.634712i | ||||
\(301\) | −0.380216 | + | 1.78877i | −0.0219153 | + | 0.103103i | ||||
\(302\) | 4.57640 | + | 5.86083i | 0.263342 | + | 0.337253i | ||||
\(303\) | −5.30613 | − | 2.36244i | −0.304829 | − | 0.135719i | ||||
\(304\) | −19.1135 | − | 12.9226i | −1.09623 | − | 0.741164i | ||||
\(305\) | −1.02300 | + | 0.217445i | −0.0585767 | + | 0.0124509i | ||||
\(306\) | 6.30510 | + | 12.9363i | 0.360438 | + | 0.739521i | ||||
\(307\) | − | 15.7278i | − | 0.897633i | −0.893624 | − | 0.448816i | \(-0.851846\pi\) | ||
0.893624 | − | 0.448816i | \(-0.148154\pi\) | |||||||
\(308\) | 0.772002 | − | 6.16833i | 0.0439889 | − | 0.351473i | ||||
\(309\) | 5.41667 | − | 9.38195i | 0.308144 | − | 0.533721i | ||||
\(310\) | 8.61851 | − | 12.7699i | 0.489499 | − | 0.725284i | ||||
\(311\) | 17.9247 | + | 5.82407i | 1.01641 | + | 0.330253i | 0.769406 | − | 0.638761i | \(-0.220553\pi\) |
0.247008 | + | 0.969013i | \(0.420553\pi\) | |||||||
\(312\) | −17.1536 | − | 15.3971i | −0.971131 | − | 0.871690i | ||||
\(313\) | 17.4239 | − | 12.6592i | 0.984855 | − | 0.715539i | 0.0260664 | − | 0.999660i | \(-0.491702\pi\) |
0.958788 | + | 0.284121i | \(0.0917019\pi\) | |||||||
\(314\) | −26.1128 | + | 20.3901i | −1.47363 | + | 1.15068i | ||||
\(315\) | −2.45854 | − | 0.522579i | −0.138523 | − | 0.0294440i | ||||
\(316\) | 1.60902 | − | 6.43844i | 0.0905146 | − | 0.362191i | ||||
\(317\) | 10.6457 | − | 14.6526i | 0.597923 | − | 0.822971i | −0.397593 | − | 0.917562i | \(-0.630154\pi\) |
0.995516 | + | 0.0945912i | \(0.0301544\pi\) | |||||||
\(318\) | 28.2328 | + | 15.0215i | 1.58322 | + | 0.842366i | ||||
\(319\) | 0.193044 | + | 12.3225i | 0.0108084 | + | 0.689928i | ||||
\(320\) | 2.09905 | + | 9.95549i | 0.117340 | + | 0.556529i | ||||
\(321\) | 17.0219 | + | 1.78907i | 0.950068 | + | 0.0998562i | ||||
\(322\) | 1.83836 | − | 6.40453i | 0.102448 | − | 0.356911i | ||||
\(323\) | 27.2251 | + | 5.78688i | 1.51485 | + | 0.321991i | ||||
\(324\) | 3.76664 | + | 21.4302i | 0.209258 | + | 1.19057i | ||||
\(325\) | 0.0288918 | + | 12.1959i | 0.00160263 | + | 0.676505i | ||||
\(326\) | 21.1670 | − | 25.2118i | 1.17233 | − | 1.39635i | ||||
\(327\) | 26.1049 | − | 23.5049i | 1.44360 | − | 1.29982i | ||||
\(328\) | −19.3109 | + | 11.1280i | −1.06626 | + | 0.614443i | ||||
\(329\) | 8.44711 | − | 4.87694i | 0.465704 | − | 0.268874i | ||||
\(330\) | 11.2927 | + | 7.36671i | 0.621642 | + | 0.405524i | ||||
\(331\) | 2.60738 | + | 4.51611i | 0.143314 | + | 0.248228i | 0.928743 | − | 0.370725i | \(-0.120891\pi\) |
−0.785428 | + | 0.618953i | \(0.787557\pi\) | |||||||
\(332\) | 13.4610 | − | 21.5160i | 0.738771 | − | 1.18084i | ||||
\(333\) | −5.27996 | − | 1.71556i | −0.289340 | − | 0.0940123i | ||||
\(334\) | −3.42741 | + | 19.4068i | −0.187539 | + | 1.06189i | ||||
\(335\) | −15.5391 | + | 1.63323i | −0.848992 | + | 0.0892326i | ||||
\(336\) | 6.10139 | − | 5.87917i | 0.332858 | − | 0.320735i | ||||
\(337\) | 16.0385 | − | 5.21122i | 0.873671 | − | 0.283873i | 0.162344 | − | 0.986734i | \(-0.448094\pi\) |
0.711327 | + | 0.702861i | \(0.248094\pi\) | |||||||
\(338\) | −18.3705 | + | 0.723644i | −0.999225 | + | 0.0393611i | ||||
\(339\) | 3.90612 | − | 5.37631i | 0.212151 | − | 0.292001i | ||||
\(340\) | −6.85797 | − | 10.1794i | −0.371926 | − | 0.552054i | ||||
\(341\) | 26.1309 | + | 11.1471i | 1.41507 | + | 0.603650i | ||||
\(342\) | −15.1863 | − | 8.08004i | −0.821182 | − | 0.436918i | ||||
\(343\) | 7.22813 | − | 9.94867i | 0.390282 | − | 0.537178i | ||||
\(344\) | 5.25051 | − | 1.70124i | 0.283089 | − | 0.0917245i | ||||
\(345\) | 10.7399 | + | 9.67023i | 0.578216 | + | 0.520628i | ||||
\(346\) | −3.00880 | + | 7.44119i | −0.161754 | + | 0.400041i | ||||
\(347\) | 4.83435 | + | 2.15239i | 0.259522 | + | 0.115546i | 0.532373 | − | 0.846510i | \(-0.321300\pi\) |
−0.272852 | + | 0.962056i | \(0.587967\pi\) | |||||||
\(348\) | −10.3488 | + | 13.2310i | −0.554757 | + | 0.709257i | ||||
\(349\) | 7.58617 | + | 8.42530i | 0.406079 | + | 0.450996i | 0.911146 | − | 0.412084i | \(-0.135199\pi\) |
−0.505067 | + | 0.863080i | \(0.668532\pi\) | |||||||
\(350\) | −4.47205 | − | 0.313944i | −0.239041 | − | 0.0167810i | ||||
\(351\) | 5.88574 | + | 4.25498i | 0.314158 | + | 0.227114i | ||||
\(352\) | −17.2932 | + | 7.27624i | −0.921733 | + | 0.387825i | ||||
\(353\) | −2.66997 | − | 1.54151i | −0.142108 | − | 0.0820462i | 0.427260 | − | 0.904129i | \(-0.359479\pi\) |
−0.569368 | + | 0.822083i | \(0.692812\pi\) | |||||||
\(354\) | 7.56975 | − | 11.2160i | 0.402327 | − | 0.596123i | ||||
\(355\) | 2.88620 | + | 13.5785i | 0.153183 | + | 0.720671i | ||||
\(356\) | −0.450581 | + | 3.19338i | −0.0238807 | + | 0.169249i | ||||
\(357\) | −4.15747 | + | 9.33783i | −0.220037 | + | 0.494211i | ||||
\(358\) | −17.8065 | + | 2.49757i | −0.941101 | + | 0.132001i | ||||
\(359\) | 4.79962 | − | 1.55949i | 0.253314 | − | 0.0823069i | −0.179607 | − | 0.983738i | \(-0.557483\pi\) |
0.432922 | + | 0.901432i | \(0.357483\pi\) | |||||||
\(360\) | 2.33823 | + | 7.21645i | 0.123235 | + | 0.380340i | ||||
\(361\) | −13.0363 | + | 5.80415i | −0.686123 | + | 0.305481i | ||||
\(362\) | 21.6470 | − | 0.750007i | 1.13774 | − | 0.0394195i | ||||
\(363\) | −9.39624 | + | 23.0191i | −0.493174 | + | 1.20819i | ||||
\(364\) | 0.223542 | − | 6.75430i | 0.0117168 | − | 0.354022i | ||||
\(365\) | 6.95063 | − | 9.56672i | 0.363813 | − | 0.500745i | ||||
\(366\) | 0.725237 | − | 2.52660i | 0.0379088 | − | 0.132067i | ||||
\(367\) | 5.68263 | − | 26.7347i | 0.296631 | − | 1.39554i | −0.537170 | − | 0.843474i | \(-0.680507\pi\) |
0.833801 | − | 0.552065i | \(-0.186160\pi\) | |||||||
\(368\) | −19.5178 | + | 4.84367i | −1.01743 | + | 0.252494i | ||||
\(369\) | −13.4437 | + | 9.76739i | −0.699849 | + | 0.508470i | ||||
\(370\) | 4.66281 | + | 0.823494i | 0.242408 | + | 0.0428114i | ||||
\(371\) | 1.94941 | + | 9.17123i | 0.101208 | + | 0.476147i | ||||
\(372\) | 18.1600 | + | 34.1990i | 0.941551 | + | 1.77314i | ||||
\(373\) | 16.7865 | − | 9.69172i | 0.869174 | − | 0.501818i | 0.00210060 | − | 0.999998i | \(-0.499331\pi\) |
0.867074 | + | 0.498180i | \(0.165998\pi\) | |||||||
\(374\) | 16.0372 | − | 15.9712i | 0.829265 | − | 0.825852i | ||||
\(375\) | 12.0482 | − | 20.8681i | 0.622168 | − | 1.07763i | ||||
\(376\) | −25.4818 | − | 14.7398i | −1.31413 | − | 0.760148i | ||||
\(377\) | 1.43199 | + | 13.3209i | 0.0737515 | + | 0.686060i | ||||
\(378\) | −1.71659 | + | 2.04462i | −0.0882919 | + | 0.105164i | ||||
\(379\) | 2.88728 | + | 27.4706i | 0.148310 | + | 1.41107i | 0.775078 | + | 0.631866i | \(0.217711\pi\) |
−0.626768 | + | 0.779206i | \(0.715623\pi\) | |||||||
\(380\) | 13.7839 | + | 5.02548i | 0.707101 | + | 0.257802i | ||||
\(381\) | −13.9299 | − | 12.5425i | −0.713649 | − | 0.642573i | ||||
\(382\) | −0.614892 | − | 2.46907i | −0.0314606 | − | 0.126329i | ||||
\(383\) | 3.20393 | − | 30.4833i | 0.163713 | − | 1.55763i | −0.536629 | − | 0.843818i | \(-0.680302\pi\) |
0.700342 | − | 0.713808i | \(-0.253031\pi\) | |||||||
\(384\) | −24.5679 | − | 7.09562i | −1.25372 | − | 0.362097i | ||||
\(385\) | 0.474735 | + | 3.92442i | 0.0241947 | + | 0.200007i | ||||
\(386\) | −2.77555 | + | 5.21661i | −0.141272 | + | 0.265518i | ||||
\(387\) | 3.75927 | − | 1.67374i | 0.191095 | − | 0.0850808i | ||||
\(388\) | 6.49632 | + | 22.7022i | 0.329801 | + | 1.15253i | ||||
\(389\) | 2.66196 | + | 8.19268i | 0.134967 | + | 0.415386i | 0.995585 | − | 0.0938656i | \(-0.0299224\pi\) |
−0.860618 | + | 0.509251i | \(0.829922\pi\) | |||||||
\(390\) | 12.9563 | + | 6.85421i | 0.656069 | + | 0.347076i | ||||
\(391\) | 19.6266 | − | 14.2596i | 0.992560 | − | 0.721137i | ||||
\(392\) | −17.2185 | − | 1.82401i | −0.869665 | − | 0.0921265i | ||||
\(393\) | −16.3078 | + | 14.6836i | −0.822619 | + | 0.740689i | ||||
\(394\) | −16.9432 | + | 8.25803i | −0.853587 | + | 0.416033i | ||||
\(395\) | 4.22011i | 0.212337i | ||||||||
\(396\) | −12.2503 | + | 6.75308i | −0.615599 | + | 0.339355i | ||||
\(397\) | 31.9910 | − | 18.4700i | 1.60558 | − | 0.926984i | 0.615241 | − | 0.788339i | \(-0.289059\pi\) |
0.990342 | − | 0.138644i | \(-0.0442745\pi\) | |||||||
\(398\) | 5.51623 | + | 0.387247i | 0.276503 | + | 0.0194109i | ||||
\(399\) | −2.54028 | − | 11.9511i | −0.127173 | − | 0.598303i | ||||
\(400\) | 5.91793 | + | 12.1673i | 0.295896 | + | 0.608365i | ||||
\(401\) | −1.40018 | + | 0.147165i | −0.0699218 | + | 0.00734908i | −0.139425 | − | 0.990233i | \(-0.544525\pi\) |
0.0695029 | + | 0.997582i | \(0.477859\pi\) | |||||||
\(402\) | 14.7210 | − | 36.4072i | 0.734219 | − | 1.81583i | ||||
\(403\) | 29.3950 | + | 9.47409i | 1.46427 | + | 0.471938i | ||||
\(404\) | −3.57219 | + | 3.69507i | −0.177723 | + | 0.183837i | ||||
\(405\) | −5.62773 | − | 12.6401i | −0.279644 | − | 0.628091i | ||||
\(406\) | −4.92184 | + | 0.170528i | −0.244267 | + | 0.00846314i | ||||
\(407\) | 0.136768 | + | 8.73028i | 0.00677934 | + | 0.432744i | ||||
\(408\) | 30.6829 | − | 3.19947i | 1.51903 | − | 0.158397i | ||||
\(409\) | −2.90315 | + | 27.6216i | −0.143552 | + | 1.36580i | 0.651218 | + | 0.758891i | \(0.274258\pi\) |
−0.794770 | + | 0.606911i | \(0.792408\pi\) | |||||||
\(410\) | 10.1977 | − | 9.84241i | 0.503628 | − | 0.486082i | ||||
\(411\) | −11.3330 | − | 34.8793i | −0.559014 | − | 1.72047i | ||||
\(412\) | −6.15768 | − | 7.34658i | −0.303367 | − | 0.361940i | ||||
\(413\) | 3.94548 | − | 0.414686i | 0.194144 | − | 0.0204054i | ||||
\(414\) | −14.0907 | + | 5.12422i | −0.692518 | + | 0.251842i | ||||
\(415\) | −4.98723 | + | 15.3491i | −0.244813 | + | 0.753458i | ||||
\(416\) | −17.9991 | + | 9.59343i | −0.882477 | + | 0.470356i | ||||
\(417\) | − | 40.0928i | − | 1.96335i | ||||||
\(418\) | −4.28733 | + | 26.7125i | −0.209700 | + | 1.30655i | ||||
\(419\) | −20.9890 | − | 12.1180i | −1.02538 | − | 0.592002i | −0.109721 | − | 0.993962i | \(-0.534996\pi\) |
−0.915657 | + | 0.401960i | \(0.868329\pi\) | |||||||
\(420\) | −2.85768 | + | 4.56769i | −0.139440 | + | 0.222880i | ||||
\(421\) | −22.4797 | − | 7.30409i | −1.09559 | − | 0.355980i | −0.295188 | − | 0.955439i | \(-0.595382\pi\) |
−0.800405 | + | 0.599459i | \(0.795382\pi\) | |||||||
\(422\) | −11.3665 | − | 2.00742i | −0.553312 | − | 0.0977197i | ||||
\(423\) | −20.0507 | − | 8.92716i | −0.974900 | − | 0.434053i | ||||
\(424\) | 21.0448 | − | 18.9176i | 1.02203 | − | 0.918722i | ||||
\(425\) | −12.1298 | − | 10.9218i | −0.588384 | − | 0.529783i | ||||
\(426\) | −33.5361 | − | 9.62624i | −1.62483 | − | 0.466393i | ||||
\(427\) | 0.704044 | − | 0.313461i | 0.0340711 | − | 0.0151694i | ||||
\(428\) | 6.64647 | − | 13.6084i | 0.321269 | − | 0.657787i | ||||
\(429\) | −7.88748 | + | 25.8524i | −0.380811 | + | 1.24817i | ||||
\(430\) | −2.97688 | + | 1.85903i | −0.143558 | + | 0.0896504i | ||||
\(431\) | −3.96554 | − | 8.90674i | −0.191013 | − | 0.429023i | 0.792497 | − | 0.609876i | \(-0.208781\pi\) |
−0.983510 | + | 0.180853i | \(0.942114\pi\) | |||||||
\(432\) | 7.93330 | + | 1.40780i | 0.381691 | + | 0.0677328i | ||||
\(433\) | −21.6881 | + | 24.0871i | −1.04227 | + | 1.15755i | −0.0549978 | + | 0.998486i | \(0.517515\pi\) |
−0.987268 | + | 0.159067i | \(0.949151\pi\) | |||||||
\(434\) | −4.25562 | + | 10.5248i | −0.204276 | + | 0.505204i | ||||
\(435\) | 4.34457 | − | 9.75807i | 0.208306 | − | 0.467864i | ||||
\(436\) | −11.6280 | − | 28.8257i | −0.556880 | − | 1.38050i | ||||
\(437\) | −8.96102 | + | 27.5792i | −0.428664 | + | 1.31929i | ||||
\(438\) | 13.0215 | + | 26.7166i | 0.622193 | + | 1.27657i | ||||
\(439\) | −7.95836 | + | 13.7843i | −0.379832 | + | 0.657888i | −0.991038 | − | 0.133584i | \(-0.957352\pi\) |
0.611206 | + | 0.791472i | \(0.290685\pi\) | |||||||
\(440\) | 9.54682 | − | 7.15507i | 0.455127 | − | 0.341105i | ||||
\(441\) | −12.9096 | −0.614743 | ||||||||
\(442\) | 15.7763 | − | 18.8817i | 0.750404 | − | 0.898112i | ||||
\(443\) | 14.7162 | + | 4.78158i | 0.699187 | + | 0.227180i | 0.636976 | − | 0.770883i | \(-0.280185\pi\) |
0.0622108 | + | 0.998063i | \(0.480185\pi\) | |||||||
\(444\) | −7.33198 | + | 9.37394i | −0.347960 | + | 0.444867i | ||||
\(445\) | −0.214365 | − | 2.03955i | −0.0101619 | − | 0.0966837i | ||||
\(446\) | 1.61646 | + | 11.5246i | 0.0765416 | + | 0.545704i | ||||
\(447\) | 15.2245 | − | 4.94674i | 0.720094 | − | 0.233973i | ||||
\(448\) | −3.03820 | − | 6.85414i | −0.143542 | − | 0.323828i | ||||
\(449\) | 4.05612 | + | 0.426316i | 0.191420 | + | 0.0201191i | 0.199753 | − | 0.979846i | \(-0.435986\pi\) |
−0.00833319 | + | 0.999965i | \(0.502653\pi\) | |||||||
\(450\) | 5.34338 | + | 8.55640i | 0.251890 | + | 0.403353i | ||||
\(451\) | 21.3814 | + | 15.0285i | 1.00681 | + | 0.707665i | ||||
\(452\) | −3.28553 | − | 4.87675i | −0.154538 | − | 0.229383i | ||||
\(453\) | 10.8570 | − | 4.83385i | 0.510106 | − | 0.227114i | ||||
\(454\) | 2.70523 | + | 10.8627i | 0.126963 | + | 0.509813i | ||||
\(455\) | 0.903435 | + | 4.20136i | 0.0423537 | + | 0.196963i | ||||
\(456\) | −27.4237 | + | 24.6517i | −1.28423 | + | 1.15442i | ||||
\(457\) | 0.478080 | + | 4.54863i | 0.0223636 | + | 0.212776i | 0.999997 | + | 0.00245927i | \(0.000782811\pi\) |
−0.977633 | + | 0.210317i | \(0.932551\pi\) | |||||||
\(458\) | 5.36543 | − | 1.95120i | 0.250710 | − | 0.0911735i | ||||
\(459\) | −9.50758 | + | 2.02090i | −0.443776 | + | 0.0943274i | ||||
\(460\) | 11.2942 | − | 5.99733i | 0.526596 | − | 0.279627i | ||||
\(461\) | −18.2308 | − | 31.5766i | −0.849091 | − | 1.47067i | −0.882021 | − | 0.471211i | \(-0.843817\pi\) |
0.0329299 | − | 0.999458i | \(-0.489516\pi\) | |||||||
\(462\) | −9.26819 | − | 3.57967i | −0.431195 | − | 0.166541i | ||||
\(463\) | 26.2983 | 1.22219 | 0.611093 | − | 0.791559i | \(-0.290730\pi\) | ||||
0.611093 | + | 0.791559i | \(0.290730\pi\) | |||||||
\(464\) | 7.86258 | + | 12.6134i | 0.365011 | + | 0.585564i | ||||
\(465\) | −16.4760 | − | 18.2984i | −0.764055 | − | 0.848569i | ||||
\(466\) | 32.3140 | − | 11.7513i | 1.49691 | − | 0.544369i | ||||
\(467\) | −22.7938 | − | 31.3729i | −1.05477 | − | 1.45177i | −0.884599 | − | 0.466352i | \(-0.845568\pi\) |
−0.170171 | − | 0.985415i | \(-0.554432\pi\) | |||||||
\(468\) | −12.5916 | + | 8.52655i | −0.582046 | + | 0.394140i | ||||
\(469\) | 10.9501 | − | 3.55790i | 0.505628 | − | 0.164288i | ||||
\(470\) | 17.9929 | + | 5.16470i | 0.829950 | + | 0.238230i | ||||
\(471\) | 21.5371 | + | 48.3731i | 0.992377 | + | 2.22891i | ||||
\(472\) | −7.02978 | − | 9.69236i | −0.323572 | − | 0.446127i | ||||
\(473\) | −4.40534 | − | 4.74113i | −0.202558 | − | 0.217997i | ||||
\(474\) | −9.36382 | − | 4.98211i | −0.430094 | − | 0.228836i | ||||
\(475\) | 19.4037 | + | 2.03941i | 0.890301 | + | 0.0935744i | ||||
\(476\) | 6.50265 | + | 6.28641i | 0.298048 | + | 0.288137i | ||||
\(477\) | 14.1175 | − | 15.6790i | 0.646395 | − | 0.717894i | ||||
\(478\) | 12.4227 | + | 15.9093i | 0.568200 | + | 0.727673i | ||||
\(479\) | 5.09748 | − | 0.535767i | 0.232910 | − | 0.0244798i | 0.0126456 | − | 0.999920i | \(-0.495975\pi\) |
0.220264 | + | 0.975440i | \(0.429308\pi\) | |||||||
\(480\) | 16.2505 | + | 0.589715i | 0.741730 | + | 0.0269167i | ||||
\(481\) | 1.01454 | + | 9.43761i | 0.0462592 | + | 0.430318i | ||||
\(482\) | −0.796367 | + | 11.3440i | −0.0362735 | + | 0.516706i | ||||
\(483\) | −9.22265 | − | 5.32470i | −0.419645 | − | 0.242282i | ||||
\(484\) | 16.2883 | + | 14.7882i | 0.740379 | + | 0.672190i | ||||
\(485\) | −7.50785 | − | 13.0040i | −0.340914 | − | 0.590480i | ||||
\(486\) | 26.1655 | + | 1.83685i | 1.18689 | + | 0.0833214i | ||||
\(487\) | −5.59762 | + | 1.18981i | −0.253652 | + | 0.0539154i | −0.332983 | − | 0.942933i | \(-0.608055\pi\) |
0.0793305 | + | 0.996848i | \(0.474722\pi\) | |||||||
\(488\) | −1.88060 | − | 1.36869i | −0.0851309 | − | 0.0619579i | ||||
\(489\) | −30.9253 | − | 42.5650i | −1.39849 | − | 1.92486i | ||||
\(490\) | 10.9037 | − | 1.52938i | 0.492580 | − | 0.0690904i | ||||
\(491\) | 14.8097 | + | 3.14789i | 0.668351 | + | 0.142062i | 0.529577 | − | 0.848262i | \(-0.322351\pi\) |
0.138774 | + | 0.990324i | \(0.455684\pi\) | |||||||
\(492\) | 9.79987 | + | 34.2469i | 0.441812 | + | 1.54397i | ||||
\(493\) | −14.5062 | − | 10.5394i | −0.653325 | − | 0.474669i | ||||
\(494\) | −1.99013 | + | 29.3438i | −0.0895403 | + | 1.32024i | ||||
\(495\) | 6.51633 | − | 6.05483i | 0.292887 | − | 0.272144i | ||||
\(496\) | 33.9345 | − | 4.73136i | 1.52371 | − | 0.212444i | ||||
\(497\) | −4.16063 | − | 9.34494i | −0.186630 | − | 0.419178i | ||||
\(498\) | −28.1697 | − | 29.1866i | −1.26232 | − | 1.30788i | ||||
\(499\) | 8.66833 | + | 26.6784i | 0.388048 | + | 1.19429i | 0.934245 | + | 0.356632i | \(0.116075\pi\) |
−0.546197 | + | 0.837657i | \(0.683925\pi\) | |||||||
\(500\) | −13.6964 | − | 16.3409i | −0.612523 | − | 0.730787i | ||||
\(501\) | 28.7739 | + | 12.8110i | 1.28552 | + | 0.572351i | ||||
\(502\) | 16.5878 | + | 13.9266i | 0.740350 | + | 0.621573i | ||||
\(503\) | 9.99566 | − | 2.12464i | 0.445685 | − | 0.0947332i | 0.0203980 | − | 0.999792i | \(-0.493507\pi\) |
0.425287 | + | 0.905059i | \(0.360173\pi\) | |||||||
\(504\) | −2.79096 | − | 4.84325i | −0.124319 | − | 0.215735i | ||||
\(505\) | 1.63409 | − | 2.83032i | 0.0727159 | − | 0.125948i | ||||
\(506\) | 14.8021 | + | 18.3563i | 0.658034 | + | 0.816038i | ||||
\(507\) | −5.97293 | + | 28.7700i | −0.265267 | + | 1.27772i | ||||
\(508\) | −14.6489 | + | 7.77869i | −0.649940 | + | 0.345123i | ||||
\(509\) | 6.66586 | − | 6.00197i | 0.295459 | − | 0.266033i | −0.508047 | − | 0.861330i | \(-0.669632\pi\) |
0.803506 | + | 0.595297i | \(0.202966\pi\) | |||||||
\(510\) | −18.4357 | + | 6.70436i | −0.816348 | + | 0.296874i | ||||
\(511\) | −3.54420 | + | 7.96040i | −0.156786 | + | 0.352147i | ||||
\(512\) | −13.3450 | + | 18.2732i | −0.589773 | + | 0.807569i | ||||
\(513\) | 7.77435 | − | 8.63429i | 0.343246 | − | 0.381213i | ||||
\(514\) | −4.71706 | − | 4.88733i | −0.208060 | − | 0.215571i | ||||
\(515\) | 4.93148 | + | 3.58293i | 0.217307 | + | 0.157883i | ||||
\(516\) | −0.610522 | − | 8.79999i | −0.0268767 | − | 0.387398i | ||||
\(517\) | −3.07002 | + | 34.3821i | −0.135019 | + | 1.51212i | ||||
\(518\) | −3.48704 | + | 0.120816i | −0.153212 | + | 0.00530834i | ||||
\(519\) | 10.3783 | + | 7.54030i | 0.455558 | + | 0.330983i | ||||
\(520\) | 9.62500 | − | 8.69342i | 0.422084 | − | 0.381232i | ||||
\(521\) | 2.08577 | + | 6.41934i | 0.0913792 | + | 0.281236i | 0.986293 | − | 0.165003i | \(-0.0527632\pi\) |
−0.894914 | + | 0.446239i | \(0.852763\pi\) | |||||||
\(522\) | 6.82025 | + | 8.73444i | 0.298514 | + | 0.382296i | ||||
\(523\) | −4.00531 | − | 38.1079i | −0.175140 | − | 1.66634i | −0.630615 | − | 0.776095i | \(-0.717197\pi\) |
0.455476 | − | 0.890248i | \(-0.349469\pi\) | |||||||
\(524\) | 7.26404 | + | 18.0075i | 0.317331 | + | 0.786660i | ||||
\(525\) | −2.21412 | + | 6.81437i | −0.0966322 | + | 0.297403i | ||||
\(526\) | 22.2331 | − | 10.8363i | 0.969411 | − | 0.472485i | ||||
\(527\) | −35.7958 | + | 20.6667i | −1.55929 | + | 0.900257i | ||||
\(528\) | 4.60545 | + | 29.6301i | 0.200427 | + | 1.28948i | ||||
\(529\) | 1.13766 | + | 1.97048i | 0.0494634 | + | 0.0856731i | ||||
\(530\) | −10.0665 | + | 14.9153i | −0.437259 | + | 0.647881i | ||||
\(531\) | −5.97336 | − | 6.63409i | −0.259222 | − | 0.287895i | ||||
\(532\) | −10.7051 | − | 1.51048i | −0.464127 | − | 0.0654875i | ||||
\(533\) | 24.6386 | + | 14.1474i | 1.06721 | + | 0.612790i | ||||
\(534\) | 4.77854 | + | 1.93217i | 0.206787 | + | 0.0836133i | ||||
\(535\) | −2.00230 | + | 9.42008i | −0.0865670 | + | 0.407265i | ||||
\(536\) | −25.8043 | − | 23.2726i | −1.11458 | − | 1.00522i | ||||
\(537\) | −3.00392 | + | 28.5804i | −0.129629 | + | 1.23333i | ||||
\(538\) | 8.01878 | + | 12.8405i | 0.345714 | + | 0.553595i | ||||
\(539\) | 6.57581 | + | 19.2091i | 0.283240 | + | 0.827394i | ||||
\(540\) | −5.11130 | + | 0.354609i | −0.219955 | + | 0.0152599i | ||||
\(541\) | −16.8131 | − | 12.2154i | −0.722850 | − | 0.525181i | 0.164444 | − | 0.986387i | \(-0.447417\pi\) |
−0.887293 | + | 0.461205i | \(0.847417\pi\) | |||||||
\(542\) | 7.26917 | − | 7.01591i | 0.312237 | − | 0.301359i | ||||
\(543\) | 7.19752 | − | 33.8617i | 0.308875 | − | 1.45314i | ||||
\(544\) | 6.63992 | − | 26.4771i | 0.284684 | − | 1.13519i | ||||
\(545\) | 11.6178 | + | 15.9905i | 0.497651 | + | 0.684959i | ||||
\(546\) | −10.3888 | − | 2.95539i | −0.444599 | − | 0.126479i | ||||
\(547\) | −4.00959 | + | 12.3402i | −0.171438 | + | 0.527630i | −0.999453 | − | 0.0330750i | \(-0.989470\pi\) |
0.828015 | + | 0.560705i | \(0.189470\pi\) | |||||||
\(548\) | −32.4308 | − | 1.15026i | −1.38538 | − | 0.0491366i | ||||
\(549\) | −1.50184 | − | 0.867086i | −0.0640969 | − | 0.0370063i | ||||
\(550\) | 10.0099 | − | 12.3092i | 0.426823 | − | 0.524866i | ||||
\(551\) | 21.4330 | 0.913076 | ||||||||
\(552\) | −0.0263527 | + | 32.1406i | −0.00112164 | + | 1.36799i | ||||
\(553\) | −0.646549 | − | 3.04177i | −0.0274941 | − | 0.129349i | ||||
\(554\) | 7.80650 | + | 6.55407i | 0.331667 | + | 0.278456i | ||||
\(555\) | 3.07805 | − | 6.91342i | 0.130656 | − | 0.293458i | ||||
\(556\) | −33.3300 | − | 12.1518i | −1.41351 | − | 0.515350i | ||||
\(557\) | −11.0638 | − | 2.35168i | −0.468787 | − | 0.0996438i | −0.0325396 | − | 0.999470i | \(-0.510360\pi\) |
−0.436248 | + | 0.899827i | \(0.643693\pi\) | |||||||
\(558\) | 24.7885 | − | 6.17327i | 1.04938 | − | 0.261336i | ||||
\(559\) | −5.23967 | − | 4.69539i | −0.221614 | − | 0.198594i | ||||
\(560\) | 2.93108 | + | 3.76008i | 0.123861 | + | 0.158892i | ||||
\(561\) | −18.5755 | − | 31.0404i | −0.784257 | − | 1.31053i | ||||
\(562\) | −15.3544 | + | 0.531986i | −0.647686 | + | 0.0224405i | ||||
\(563\) | −2.24480 | + | 21.3578i | −0.0946069 | + | 0.900125i | 0.839555 | + | 0.543275i | \(0.182816\pi\) |
−0.934162 | + | 0.356850i | \(0.883851\pi\) | |||||||
\(564\) | −32.7015 | + | 33.8264i | −1.37698 | + | 1.42435i | ||||
\(565\) | 2.77880 | + | 2.50204i | 0.116905 | + | 0.105262i | ||||
\(566\) | 2.48716 | + | 17.7322i | 0.104543 | + | 0.745342i | ||||
\(567\) | 5.99291 | + | 8.24853i | 0.251679 | + | 0.346406i | ||||
\(568\) | −18.1670 | + | 24.9617i | −0.762270 | + | 1.04737i | ||||
\(569\) | −4.09955 | + | 3.69125i | −0.171862 | + | 0.154745i | −0.750573 | − | 0.660787i | \(-0.770223\pi\) |
0.578711 | + | 0.815533i | \(0.303556\pi\) | |||||||
\(570\) | 13.1177 | − | 19.4363i | 0.549439 | − | 0.814096i | ||||
\(571\) | −39.1349 | −1.63775 | −0.818873 | − | 0.573974i | \(-0.805401\pi\) | ||||
−0.818873 | + | 0.573974i | \(0.805401\pi\) | |||||||
\(572\) | 19.1011 | + | 14.3927i | 0.798656 | + | 0.601788i | ||||
\(573\) | −4.06673 | −0.169890 | ||||||||
\(574\) | −5.84238 | + | 8.65658i | −0.243856 | + | 0.361319i | ||||
\(575\) | 12.6376 | − | 11.3789i | 0.527024 | − | 0.474534i | ||||
\(576\) | −8.45922 | + | 14.5965i | −0.352468 | + | 0.608186i | ||||
\(577\) | 11.1123 | + | 15.2948i | 0.462612 | + | 0.636731i | 0.975048 | − | 0.221995i | \(-0.0712568\pi\) |
−0.512436 | + | 0.858725i | \(0.671257\pi\) | |||||||
\(578\) | 1.23463 | + | 8.80232i | 0.0513539 | + | 0.366128i | ||||
\(579\) | 7.01835 | + | 6.31935i | 0.291673 | + | 0.262623i | ||||
\(580\) | −6.79529 | − | 6.56932i | −0.282159 | − | 0.272776i | ||||
\(581\) | 1.24311 | − | 11.8274i | 0.0515730 | − | 0.490684i | ||||
\(582\) | 37.7175 | − | 1.30680i | 1.56344 | − | 0.0541687i | ||||
\(583\) | −30.5210 | − | 13.0199i | −1.26405 | − | 0.539228i | ||||
\(584\) | 26.1568 | − | 2.72751i | 1.08238 | − | 0.112865i | ||||
\(585\) | 6.45348 | − | 7.20155i | 0.266818 | − | 0.297747i | ||||
\(586\) | 22.9530 | − | 5.71616i | 0.948179 | − | 0.236132i | ||||
\(587\) | −18.3125 | − | 3.89245i | −0.755839 | − | 0.160658i | −0.186152 | − | 0.982521i | \(-0.559602\pi\) |
−0.569686 | + | 0.821862i | \(0.692935\pi\) | |||||||
\(588\) | −9.47910 | + | 25.9994i | −0.390911 | + | 1.07220i | ||||
\(589\) | 20.0957 | − | 45.1356i | 0.828028 | − | 1.85978i | ||||
\(590\) | 5.83116 | + | 4.89564i | 0.240065 | + | 0.201550i | ||||
\(591\) | 6.26328 | + | 29.4664i | 0.257637 | + | 1.21209i | ||||
\(592\) | 5.57050 | + | 8.93639i | 0.228946 | + | 0.367283i | ||||
\(593\) | −38.6362 | −1.58660 | −0.793298 | − | 0.608833i | \(-0.791638\pi\) | ||||
−0.793298 | + | 0.608833i | \(0.791638\pi\) | |||||||
\(594\) | −2.42649 | − | 9.13104i | −0.0995600 | − | 0.374651i | ||||
\(595\) | −4.98085 | − | 2.87570i | −0.204195 | − | 0.117892i | ||||
\(596\) | 0.502077 | − | 14.1558i | 0.0205659 | − | 0.579843i | ||||
\(597\) | 2.73110 | − | 8.40545i | 0.111776 | − | 0.344012i | ||||
\(598\) | 17.8462 | + | 18.4030i | 0.729787 | + | 0.752554i | ||||
\(599\) | −12.0128 | − | 16.5341i | −0.490828 | − | 0.675567i | 0.489713 | − | 0.871884i | \(-0.337102\pi\) |
−0.980540 | + | 0.196317i | \(0.937102\pi\) | |||||||
\(600\) | 21.1557 | − | 4.47866i | 0.863678 | − | 0.182840i | ||||
\(601\) | −4.49663 | + | 21.1550i | −0.183421 | + | 0.862929i | 0.786134 | + | 0.618056i | \(0.212080\pi\) |
−0.969555 | + | 0.244873i | \(0.921254\pi\) | |||||||
\(602\) | 1.86087 | − | 1.79603i | 0.0758432 | − | 0.0732009i | ||||
\(603\) | −20.9600 | − | 15.2283i | −0.853557 | − | 0.620145i | ||||
\(604\) | −0.727823 | − | 10.4908i | −0.0296147 | − | 0.426863i | ||||
\(605\) | −12.3286 | − | 6.61194i | −0.501231 | − | 0.268813i | ||||
\(606\) | 4.35094 | + | 6.96719i | 0.176745 | + | 0.283023i | ||||
\(607\) | −1.05011 | + | 9.99112i | −0.0426226 | + | 0.405527i | 0.952321 | + | 0.305097i | \(0.0986887\pi\) |
−0.994944 | + | 0.100431i | \(0.967978\pi\) | |||||||
\(608\) | 12.1816 | + | 30.2696i | 0.494030 | + | 1.22759i | ||||
\(609\) | −1.63648 | + | 7.69905i | −0.0663137 | + | 0.311981i | ||||
\(610\) | 1.37121 | + | 0.554440i | 0.0555186 | + | 0.0224486i | ||||
\(611\) | 0.0888982 | + | 37.5259i | 0.00359644 | + | 1.51814i | ||||
\(612\) | 2.84347 | − | 20.1524i | 0.114941 | − | 0.814614i | ||||
\(613\) | 26.9474 | + | 29.9281i | 1.08839 | + | 1.20878i | 0.976603 | + | 0.215051i | \(0.0689919\pi\) |
0.111791 | + | 0.993732i | \(0.464341\pi\) | |||||||
\(614\) | −12.4429 | + | 18.4364i | −0.502153 | + | 0.744034i | ||||
\(615\) | −11.3258 | − | 19.6168i | −0.456700 | − | 0.791027i | ||||
\(616\) | −5.78496 | + | 6.61988i | −0.233083 | + | 0.266723i | ||||
\(617\) | 11.0854 | − | 6.40013i | 0.446280 | − | 0.257660i | −0.259978 | − | 0.965615i | \(-0.583715\pi\) |
0.706258 | + | 0.707955i | \(0.250382\pi\) | |||||||
\(618\) | −13.7720 | + | 6.71237i | −0.553989 | + | 0.270011i | ||||
\(619\) | −2.50992 | + | 7.72474i | −0.100882 | + | 0.310484i | −0.988742 | − | 0.149631i | \(-0.952192\pi\) |
0.887860 | + | 0.460114i | \(0.152192\pi\) | |||||||
\(620\) | −20.2056 | + | 8.15074i | −0.811476 | + | 0.327342i | ||||
\(621\) | −1.05854 | − | 10.0714i | −0.0424779 | − | 0.404151i | ||||
\(622\) | −16.4040 | − | 21.0080i | −0.657740 | − | 0.842343i | ||||
\(623\) | 0.466983 | + | 1.43722i | 0.0187093 | + | 0.0575812i | ||||
\(624\) | 7.92653 | + | 31.6197i | 0.317315 | + | 1.26580i | ||||
\(625\) | −2.71363 | − | 1.97157i | −0.108545 | − | 0.0788627i | ||||
\(626\) | −30.4398 | + | 1.05465i | −1.21662 | + | 0.0421523i | ||||
\(627\) | 39.7721 | + | 16.9663i | 1.58835 | + | 0.677568i | ||||
\(628\) | 46.7413 | − | 3.24280i | 1.86518 | − | 0.129402i | ||||
\(629\) | −10.2774 | − | 7.46695i | −0.409786 | − | 0.297727i | ||||
\(630\) | 2.46852 | + | 2.55762i | 0.0983481 | + | 0.101898i | ||||
\(631\) | 17.2567 | − | 19.1655i | 0.686979 | − | 0.762968i | −0.294268 | − | 0.955723i | \(-0.595076\pi\) |
0.981247 | + | 0.192755i | \(0.0617424\pi\) | |||||||
\(632\) | −6.97983 | + | 6.27431i | −0.277643 | + | 0.249579i | ||||
\(633\) | −7.50333 | + | 16.8528i | −0.298231 | + | 0.669837i | ||||
\(634\) | −24.0713 | + | 8.75380i | −0.955995 | + | 0.347658i | ||||
\(635\) | 7.83799 | − | 7.05735i | 0.311041 | − | 0.280063i | ||||
\(636\) | −21.2109 | − | 39.9446i | −0.841068 | − | 1.58391i | ||||
\(637\) | 9.02530 | + | 20.1426i | 0.357596 | + | 0.798079i | ||||
\(638\) | 9.52253 | − | 14.5974i | 0.377000 | − | 0.577917i | ||||
\(639\) | −11.5090 | + | 19.9342i | −0.455290 | + | 0.788586i | ||||
\(640\) | 5.41562 | − | 13.3307i | 0.214071 | − | 0.526940i | ||||
\(641\) | 27.5784 | − | 5.86196i | 1.08928 | − | 0.231534i | 0.371940 | − | 0.928257i | \(-0.378693\pi\) |
0.717340 | + | 0.696723i | \(0.245359\pi\) | |||||||
\(642\) | −18.5380 | − | 15.5638i | −0.731636 | − | 0.614256i | ||||
\(643\) | 14.9634 | + | 6.66214i | 0.590099 | + | 0.262729i | 0.679989 | − | 0.733223i | \(-0.261985\pi\) |
−0.0898894 | + | 0.995952i | \(0.528651\pi\) | |||||||
\(644\) | −7.22184 | + | 6.05312i | −0.284580 | + | 0.238526i | ||||
\(645\) | 1.73338 | + | 5.33480i | 0.0682519 | + | 0.210058i | ||||
\(646\) | −27.3356 | − | 28.3224i | −1.07551 | − | 1.11433i | ||||
\(647\) | −2.32706 | − | 5.22666i | −0.0914861 | − | 0.205481i | 0.862007 | − | 0.506897i | \(-0.169207\pi\) |
−0.953493 | + | 0.301416i | \(0.902541\pi\) | |||||||
\(648\) | 12.5389 | − | 28.1008i | 0.492575 | − | 1.10390i | ||||
\(649\) | −6.82864 | + | 12.2674i | −0.268048 | + | 0.481538i | ||||
\(650\) | 9.61476 | − | 14.3191i | 0.377122 | − | 0.561641i | ||||
\(651\) | 14.6790 | + | 10.6649i | 0.575316 | + | 0.417992i | ||||
\(652\) | −44.7584 | + | 12.8078i | −1.75288 | + | 0.501592i | ||||
\(653\) | −48.0978 | − | 10.2235i | −1.88221 | − | 0.400077i | −0.884432 | − | 0.466668i | \(-0.845454\pi\) |
−0.997780 | + | 0.0665916i | \(0.978788\pi\) | |||||||
\(654\) | −49.1963 | + | 6.90038i | −1.92373 | + | 0.269826i | ||||
\(655\) | −7.25767 | − | 9.98932i | −0.283581 | − | 0.390315i | ||||
\(656\) | 31.4404 | + | 2.23307i | 1.22754 | + | 0.0871867i | ||||
\(657\) | 19.1793 | − | 4.07668i | 0.748254 | − | 0.159046i | ||||
\(658\) | −13.7602 | − | 0.965986i | −0.536429 | − | 0.0376581i | ||||
\(659\) | 9.12703 | + | 15.8085i | 0.355539 | + | 0.615811i | 0.987210 | − | 0.159425i | \(-0.0509641\pi\) |
−0.631671 | + | 0.775236i | \(0.717631\pi\) | |||||||
\(660\) | −7.40943 | − | 17.5695i | −0.288412 | − | 0.683891i | ||||
\(661\) | −10.0177 | − | 5.78371i | −0.389643 | − | 0.224960i | 0.292363 | − | 0.956308i | \(-0.405559\pi\) |
−0.682005 | + | 0.731347i | \(0.738892\pi\) | |||||||
\(662\) | 0.516449 | − | 7.35667i | 0.0200724 | − | 0.285925i | ||||
\(663\) | −23.1901 | − | 31.7599i | −0.900628 | − | 1.23345i | ||||
\(664\) | −32.8014 | + | 14.5719i | −1.27294 | + | 0.565500i | ||||
\(665\) | 6.83715 | − | 0.718613i | 0.265133 | − | 0.0278666i | ||||
\(666\) | 4.83203 | + | 6.18820i | 0.187237 | + | 0.239788i | ||||
\(667\) | 12.5002 | − | 13.8828i | 0.484008 | − | 0.537545i | ||||
\(668\) | 19.3711 | − | 20.0375i | 0.749491 | − | 0.775273i | ||||
\(669\) | 18.4976 | + | 1.94417i | 0.715157 | + | 0.0751661i | ||||
\(670\) | 19.5074 | + | 10.3791i | 0.753635 | + | 0.400979i | ||||
\(671\) | −0.525201 | + | 2.67636i | −0.0202752 | + | 0.103320i | ||||
\(672\) | −11.8034 | + | 2.06463i | −0.455326 | + | 0.0796449i | ||||
\(673\) | −4.15665 | − | 9.33599i | −0.160227 | − | 0.359876i | 0.815536 | − | 0.578707i | \(-0.196442\pi\) |
−0.975763 | + | 0.218831i | \(0.929776\pi\) | |||||||
\(674\) | −22.9234 | − | 6.57996i | −0.882977 | − | 0.253451i | ||||
\(675\) | −6.48000 | + | 2.10548i | −0.249415 | + | 0.0810400i | ||||
\(676\) | 22.1068 | + | 13.6854i | 0.850262 | + | 0.526360i | ||||
\(677\) | −3.67295 | − | 5.05539i | −0.141163 | − | 0.194294i | 0.732582 | − | 0.680679i | \(-0.238315\pi\) |
−0.873745 | + | 0.486385i | \(0.838315\pi\) | |||||||
\(678\) | −8.83223 | + | 3.21194i | −0.339200 | + | 0.123354i | ||||
\(679\) | 7.40382 | + | 8.22277i | 0.284132 | + | 0.315561i | ||||
\(680\) | −0.0142322 | + | 17.3581i | −0.000545780 | + | 0.665651i | ||||
\(681\) | 17.8916 | 0.685609 | ||||||||
\(682\) | −21.8123 | − | 33.7400i | −0.835234 | − | 1.29197i | ||||
\(683\) | −17.2817 | − | 29.9327i | −0.661264 | − | 1.14534i | −0.980284 | − | 0.197595i | \(-0.936687\pi\) |
0.319020 | − | 0.947748i | \(-0.396646\pi\) | |||||||
\(684\) | 11.4093 | + | 21.4861i | 0.436245 | + | 0.821540i | ||||
\(685\) | 20.1847 | − | 4.29040i | 0.771219 | − | 0.163928i | ||||
\(686\) | −16.3437 | + | 5.94358i | −0.624007 | + | 0.226927i | ||||
\(687\) | −0.953796 | − | 9.07477i | −0.0363896 | − | 0.346224i | ||||
\(688\) | −7.50067 | − | 2.15966i | −0.285960 | − | 0.0823362i | ||||
\(689\) | −34.3335 | − | 11.0658i | −1.30800 | − | 0.421572i | ||||
\(690\) | −4.93901 | − | 19.8324i | −0.188025 | − | 0.755005i | ||||
\(691\) | −4.69041 | + | 2.08831i | −0.178432 | + | 0.0794429i | −0.494008 | − | 0.869457i | \(-0.664469\pi\) |
0.315577 | + | 0.948900i | \(0.397802\pi\) | |||||||
\(692\) | 9.41400 | − | 6.34234i | 0.357866 | − | 0.241099i | ||||
\(693\) | −3.76921 | + | 5.36255i | −0.143181 | + | 0.203707i | ||||
\(694\) | −3.96408 | − | 6.34772i | −0.150475 | − | 0.240956i | ||||
\(695\) | 22.4356 | + | 2.35808i | 0.851031 | + | 0.0894470i | ||||
\(696\) | 22.5987 | − | 7.32228i | 0.856601 | − | 0.277550i | ||||
\(697\) | −36.1631 | + | 11.7501i | −1.36978 | + | 0.445067i | ||||
\(698\) | −2.22708 | − | 15.8780i | −0.0842964 | − | 0.600992i | ||||
\(699\) | −5.74435 | − | 54.6538i | −0.217271 | − | 2.06720i | ||||
\(700\) | 4.99385 | + | 3.90602i | 0.188750 | + | 0.147634i | ||||
\(701\) | −21.3217 | − | 6.92783i | −0.805308 | − | 0.261660i | −0.122699 | − | 0.992444i | \(-0.539155\pi\) |
−0.682609 | + | 0.730783i | \(0.739155\pi\) | |||||||
\(702\) | −3.53311 | − | 9.64421i | −0.133349 | − | 0.363997i | ||||
\(703\) | 15.1849 | 0.572709 | ||||||||
\(704\) | 26.0280 | + | 5.15200i | 0.980967 | + | 0.194173i | ||||
\(705\) | 14.9592 | − | 25.9101i | 0.563396 | − | 0.975831i | ||||
\(706\) | 1.91025 | + | 3.91930i | 0.0718931 | + | 0.147505i | ||||
\(707\) | −0.744195 | + | 2.29040i | −0.0279883 | + | 0.0861392i | ||||
\(708\) | −17.7468 | + | 7.15890i | −0.666966 | + | 0.269048i | ||||
\(709\) | 12.8626 | − | 28.8898i | 0.483063 | − | 1.08498i | −0.493500 | − | 0.869746i | \(-0.664283\pi\) |
0.976563 | − | 0.215232i | \(-0.0690508\pi\) | |||||||
\(710\) | 7.35921 | − | 18.2004i | 0.276186 | − | 0.683047i | ||||
\(711\) | −4.68227 | + | 5.20018i | −0.175599 | + | 0.195022i | ||||
\(712\) | 3.05459 | − | 3.38688i | 0.114476 | − | 0.126929i | ||||
\(713\) | −17.5156 | − | 39.3406i | −0.655963 | − | 1.47332i | ||||
\(714\) | 12.2610 | − | 7.65686i | 0.458856 | − | 0.286551i | ||||
\(715\) | −14.0029 | − | 5.93429i | −0.523679 | − | 0.221930i | ||||
\(716\) | 22.8490 | + | 11.1597i | 0.853908 | + | 0.417057i | ||||
\(717\) | 29.4714 | − | 13.1215i | 1.10063 | − | 0.490032i | ||||
\(718\) | −6.85999 | − | 1.96910i | −0.256013 | − | 0.0734861i | ||||
\(719\) | 24.4944 | + | 22.0548i | 0.913486 | + | 0.822506i | 0.984575 | − | 0.174964i | \(-0.0559808\pi\) |
−0.0710890 | + | 0.997470i | \(0.522647\pi\) | |||||||
\(720\) | 2.96829 | − | 10.3091i | 0.110622 | − | 0.384198i | ||||
\(721\) | −4.10345 | − | 1.82697i | −0.152820 | − | 0.0680401i | ||||
\(722\) | 19.8733 | + | 3.50981i | 0.739609 | + | 0.130621i | ||||
\(723\) | 17.2857 | + | 5.61645i | 0.642861 | + | 0.208878i | ||||
\(724\) | −25.9684 | − | 16.2466i | −0.965109 | − | 0.603801i | ||||
\(725\) | −10.8850 | − | 6.28447i | −0.404260 | − | 0.233399i | ||||
\(726\) | 29.2257 | − | 19.5497i | 1.08467 | − | 0.725557i | ||||
\(727\) | 6.95450i | 0.257928i | 0.991649 | + | 0.128964i | \(0.0411652\pi\) | ||||
−0.991649 | + | 0.128964i | \(0.958835\pi\) | |||||||
\(728\) | −5.60563 | + | 7.74068i | −0.207758 | + | 0.286889i | ||||
\(729\) | 2.86888 | − | 8.82951i | 0.106255 | − | 0.327019i | ||||
\(730\) | −15.7163 | + | 5.71539i | −0.581685 | + | 0.211536i | ||||
\(731\) | 9.36458 | − | 0.984257i | 0.346361 | − | 0.0364040i | ||||
\(732\) | −2.84903 | + | 2.38796i | −0.105303 | + | 0.0882617i | ||||
\(733\) | −15.5174 | − | 47.7575i | −0.573147 | − | 1.76396i | −0.642406 | − | 0.766365i | \(-0.722064\pi\) |
0.0692591 | − | 0.997599i | \(-0.477936\pi\) | |||||||
\(734\) | −27.8121 | + | 26.8432i | −1.02656 | + | 0.990800i | ||||
\(735\) | 1.83944 | − | 17.5011i | 0.0678488 | − | 0.645538i | ||||
\(736\) | 26.7112 | + | 9.76342i | 0.984586 | + | 0.359885i | ||||
\(737\) | −11.9828 | + | 38.9447i | −0.441392 | + | 1.43455i | ||||
\(738\) | 23.4863 | − | 0.813733i | 0.864542 | − | 0.0299539i | ||||
\(739\) | 14.7302 | + | 33.0846i | 0.541860 | + | 1.21704i | 0.952304 | + | 0.305151i | \(0.0987070\pi\) |
−0.410444 | + | 0.911886i | \(0.634626\pi\) | |||||||
\(740\) | −4.81435 | − | 4.65425i | −0.176979 | − | 0.171094i | ||||
\(741\) | 44.7402 | + | 14.4199i | 1.64357 | + | 0.529728i | ||||
\(742\) | 4.97058 | − | 12.2930i | 0.182476 | − | 0.451288i | ||||
\(743\) | −19.2016 | + | 2.01817i | −0.704439 | + | 0.0740395i | −0.449973 | − | 0.893042i | \(-0.648566\pi\) |
−0.254466 | + | 0.967082i | \(0.581900\pi\) | |||||||
\(744\) | 5.76869 | − | 54.4559i | 0.211490 | − | 1.99645i | ||||
\(745\) | 1.87272 | + | 8.81045i | 0.0686111 | + | 0.322790i | ||||
\(746\) | −27.3450 | − | 1.91966i | −1.00117 | − | 0.0702837i | ||||
\(747\) | −23.1755 | + | 13.3804i | −0.847947 | + | 0.489563i | ||||
\(748\) | −31.4346 | + | 6.03412i | −1.14936 | + | 0.220629i | ||||
\(749\) | − | 7.09658i | − | 0.259304i | ||||||
\(750\) | −30.6328 | + | 14.9302i | −1.11855 | + | 0.545175i | ||||
\(751\) | 19.7115 | − | 17.7483i | 0.719283 | − | 0.647645i | −0.225914 | − | 0.974147i | \(-0.572537\pi\) |
0.945196 | + | 0.326502i | \(0.105870\pi\) | |||||||
\(752\) | 18.2091 | + | 37.4380i | 0.664017 | + | 1.36522i | ||||
\(753\) | 28.0051 | − | 20.3469i | 1.02056 | − | 0.741483i | ||||
\(754\) | 8.86005 | − | 16.7479i | 0.322664 | − | 0.609923i | ||||
\(755\) | 2.06642 | + | 6.35979i | 0.0752048 | + | 0.231457i | ||||
\(756\) | 3.62980 | − | 1.03868i | 0.132015 | − | 0.0377765i | ||||
\(757\) | 37.7200 | − | 16.7940i | 1.37096 | − | 0.610390i | 0.416609 | − | 0.909086i | \(-0.363218\pi\) |
0.954348 | + | 0.298696i | \(0.0965517\pi\) | |||||||
\(758\) | 18.3486 | − | 34.4859i | 0.666449 | − | 1.25258i | ||||
\(759\) | 34.1855 | − | 15.8666i | 1.24086 | − | 0.575920i | ||||
\(760\) | −12.1820 | − | 16.7960i | −0.441886 | − | 0.609254i | ||||
\(761\) | −1.13295 | + | 10.7793i | −0.0410694 | + | 0.390749i | 0.954608 | + | 0.297866i | \(0.0962749\pi\) |
−0.995677 | + | 0.0928829i | \(0.970392\pi\) | |||||||
\(762\) | 6.40601 | + | 25.7231i | 0.232065 | + | 0.931848i | ||||
\(763\) | −10.8237 | − | 9.74575i | −0.391846 | − | 0.352820i | ||||
\(764\) | −1.23259 | + | 3.38076i | −0.0445935 | + | 0.122312i | ||||
\(765\) | 1.35279 | + | 12.8709i | 0.0489102 | + | 0.465349i | ||||
\(766\) | −27.8723 | + | 33.1984i | −1.00707 | + | 1.19951i | ||||
\(767\) | −6.17498 | + | 13.9581i | −0.222965 | + | 0.503998i | ||||
\(768\) | 23.1853 | + | 27.7542i | 0.836629 | + | 1.00149i | ||||
\(769\) | −15.5613 | + | 26.9529i | −0.561154 | + | 0.971947i | 0.436243 | + | 0.899829i | \(0.356309\pi\) |
−0.997396 | + | 0.0721174i | \(0.977024\pi\) | |||||||
\(770\) | 2.54827 | − | 4.97587i | 0.0918332 | − | 0.179318i | ||||
\(771\) | −9.40153 | + | 5.42798i | −0.338588 | + | 0.195484i | ||||
\(772\) | 7.38061 | − | 3.91917i | 0.265634 | − | 0.141054i | ||||
\(773\) | 9.42507 | + | 44.3415i | 0.338996 | + | 1.59485i | 0.735965 | + | 0.677020i | \(0.236729\pi\) |
−0.396968 | + | 0.917832i | \(0.629938\pi\) | |||||||
\(774\) | −5.73085 | − | 1.01212i | −0.205991 | − | 0.0363799i | ||||
\(775\) | −23.4403 | + | 17.0304i | −0.841999 | + | 0.611748i | ||||
\(776\) | 10.3455 | − | 31.7515i | 0.371380 | − | 1.13981i | ||||
\(777\) | −1.15942 | + | 5.45465i | −0.0415940 | + | 0.195684i | ||||
\(778\) | 3.36114 | − | 11.7096i | 0.120503 | − | 0.419810i | ||||
\(779\) | 26.7157 | − | 36.7710i | 0.957188 | − | 1.31746i | ||||
\(780\) | −9.76503 | − | 18.2849i | −0.349644 | − | 0.654704i | ||||
\(781\) | 35.5239 | + | 6.97111i | 1.27115 | + | 0.249446i | ||||
\(782\) | −34.2880 | + | 1.18798i | −1.22614 | + | 0.0424821i | ||||
\(783\) | −6.83774 | + | 3.04436i | −0.244361 | + | 0.108797i | ||||
\(784\) | 18.7408 | + | 15.7604i | 0.669315 | + | 0.562870i | ||||
\(785\) | −28.3359 | + | 9.20689i | −1.01135 | + | 0.328608i | ||||
\(786\) | 30.7331 | − | 4.31068i | 1.09621 | − | 0.153757i | ||||
\(787\) | 11.0005 | − | 24.7076i | 0.392127 | − | 0.880731i | −0.604339 | − | 0.796728i | \(-0.706563\pi\) |
0.996465 | − | 0.0840037i | \(-0.0267707\pi\) | |||||||
\(788\) | 26.3944 | + | 3.72421i | 0.940262 | + | 0.132669i | ||||
\(789\) | −8.21877 | − | 38.6663i | −0.292596 | − | 1.37656i | ||||
\(790\) | 3.33869 | − | 4.94689i | 0.118785 | − | 0.176003i | ||||
\(791\) | −2.38624 | − | 1.37769i | −0.0848448 | − | 0.0489852i | ||||
\(792\) | 19.7026 | + | 1.77556i | 0.700102 | + | 0.0630917i | ||||
\(793\) | −0.302941 | + | 2.94948i | −0.0107577 | + | 0.104739i | ||||
\(794\) | −52.1128 | − | 3.65840i | −1.84942 | − | 0.129832i | ||||
\(795\) | 19.2440 | + | 21.3726i | 0.682514 | + | 0.758009i | ||||
\(796\) | −6.15986 | − | 4.81804i | −0.218331 | − | 0.170771i | ||||
\(797\) | −30.5903 | − | 13.6197i | −1.08356 | − | 0.482434i | −0.214293 | − | 0.976769i | \(-0.568745\pi\) |
−0.869271 | + | 0.494336i | \(0.835411\pi\) | |||||||
\(798\) | −6.47720 | + | 16.0190i | −0.229291 | + | 0.567068i | ||||
\(799\) | −37.3227 | − | 33.6055i | −1.32038 | − | 1.18888i | ||||
\(800\) | 2.68890 | − | 18.9446i | 0.0950670 | − | 0.669794i | ||||
\(801\) | 1.99876 | − | 2.75105i | 0.0706225 | − | 0.0972036i | ||||
\(802\) | 1.75775 | + | 0.935229i | 0.0620684 | + | 0.0330241i | ||||
\(803\) | −15.8354 | − | 26.4616i | −0.558818 | − | 0.933809i | ||||
\(804\) | −46.0595 | + | 31.0309i | −1.62439 | + | 1.09437i | ||||
\(805\) | 3.52209 | − | 4.84775i | 0.124137 | − | 0.170861i | ||||
\(806\) | −26.9621 | − | 34.3612i | −0.949699 | − | 1.21032i | ||||
\(807\) | 23.0112 | − | 7.47681i | 0.810034 | − | 0.263196i | ||||
\(808\) | 7.11071 | − | 1.50533i | 0.250154 | − | 0.0529575i | ||||
\(809\) | 19.0336 | − | 2.00051i | 0.669186 | − | 0.0703343i | 0.236158 | − | 0.971715i | \(-0.424112\pi\) |
0.433028 | + | 0.901380i | \(0.357445\pi\) | |||||||
\(810\) | −3.40312 | + | 19.2693i | −0.119574 | + | 0.677053i | ||||
\(811\) | 27.1263 | + | 8.81388i | 0.952534 | + | 0.309497i | 0.743745 | − | 0.668464i | \(-0.233048\pi\) |
0.208789 | + | 0.977961i | \(0.433048\pi\) | |||||||
\(812\) | 5.90439 | + | 3.69396i | 0.207203 | + | 0.129633i | ||||
\(813\) | −8.07330 | − | 13.9834i | −0.283143 | − | 0.490418i | ||||
\(814\) | 6.74654 | − | 10.3420i | 0.236466 | − | 0.362487i | ||||
\(815\) | 25.6379 | − | 14.8021i | 0.898058 | − | 0.518494i | ||||
\(816\) | −38.4983 | − | 20.5239i | −1.34771 | − | 0.718481i | ||||
\(817\) | −8.36440 | + | 7.53134i | −0.292633 | + | 0.263488i | ||||
\(818\) | 25.2557 | − | 30.0818i | 0.883044 | − | 1.05179i | ||||
\(819\) | −3.54822 | + | 6.17946i | −0.123985 | + | 0.215928i | ||||
\(820\) | −19.7406 | + | 3.46968i | −0.689373 | + | 0.121167i | ||||
\(821\) | −50.5182 | − | 10.7380i | −1.76310 | − | 0.374758i | −0.791457 | − | 0.611224i | \(-0.790677\pi\) |
−0.971640 | + | 0.236466i | \(0.924011\pi\) | |||||||
\(822\) | −14.3096 | + | 49.8522i | −0.499105 | + | 1.73879i | ||||
\(823\) | 30.0121 | + | 3.15440i | 1.04616 | + | 0.109955i | 0.611980 | − | 0.790873i | \(-0.290373\pi\) |
0.434175 | + | 0.900828i | \(0.357040\pi\) | |||||||
\(824\) | 1.40598 | + | 13.4834i | 0.0489798 | + | 0.469716i | ||||
\(825\) | −15.2240 | − | 20.2783i | −0.530032 | − | 0.706000i | ||||
\(826\) | −4.95304 | − | 2.63531i | −0.172338 | − | 0.0916943i | ||||
\(827\) | 1.55259 | − | 2.13695i | 0.0539887 | − | 0.0743091i | −0.781169 | − | 0.624320i | \(-0.785376\pi\) |
0.835158 | + | 0.550011i | \(0.185376\pi\) | |||||||
\(828\) | 20.5713 | + | 5.14095i | 0.714903 | + | 0.178660i | ||||
\(829\) | 15.6322 | + | 3.32272i | 0.542928 | + | 0.115403i | 0.471209 | − | 0.882022i | \(-0.343818\pi\) |
0.0717198 | + | 0.997425i | \(0.477151\pi\) | |||||||
\(830\) | 17.9894 | − | 14.0469i | 0.624421 | − | 0.487576i | ||||
\(831\) | 13.1797 | − | 9.57560i | 0.457198 | − | 0.332174i | ||||
\(832\) | 28.6886 | + | 2.99414i | 0.994598 | + | 0.103803i | ||||
\(833\) | −28.0943 | − | 9.12841i | −0.973411 | − | 0.316280i | ||||
\(834\) | −31.7190 | + | 46.9976i | −1.09834 | + | 1.62739i | ||||
\(835\) | −8.86125 | + | 15.3481i | −0.306656 | + | 0.531144i | ||||
\(836\) | 26.1590 | − | 27.9211i | 0.904728 | − | 0.965671i | ||||
\(837\) | 17.2540i | 0.596384i | ||||||||
\(838\) | 15.0167 | + | 30.8101i | 0.518743 | + | 1.06432i | ||||
\(839\) | −25.6387 | + | 5.44967i | −0.885145 | + | 0.188143i | −0.627985 | − | 0.778226i | \(-0.716120\pi\) |
−0.257160 | + | 0.966369i | \(0.582787\pi\) | |||||||
\(840\) | 6.96350 | − | 3.09351i | 0.240264 | − | 0.106736i | ||||
\(841\) | 13.8791 | + | 6.17938i | 0.478590 | + | 0.213082i | ||||
\(842\) | 20.5726 | + | 26.3466i | 0.708978 | + | 0.907962i | ||||
\(843\) | −5.10526 | + | 24.0183i | −0.175834 | + | 0.827236i | ||||
\(844\) | 11.7359 | + | 11.3456i | 0.403965 | + | 0.390532i | ||||
\(845\) | −15.7482 | − | 5.03453i | −0.541754 | − | 0.173193i | ||||
\(846\) | 16.4412 | + | 26.3275i | 0.565262 | + | 0.905158i | ||||
\(847\) | 9.89925 | + | 2.87693i | 0.340142 | + | 0.0988524i | ||||
\(848\) | −39.6356 | + | 5.52625i | −1.36109 | + | 0.189772i | ||||
\(849\) | 28.4613 | + | 2.99140i | 0.976788 | + | 0.102665i | ||||
\(850\) | 5.57822 | + | 22.3991i | 0.191331 | + | 0.768282i | ||||
\(851\) | 8.85614 | − | 9.83574i | 0.303585 | − | 0.337165i | ||||
\(852\) | 31.6960 | + | 37.8158i | 1.08589 | + | 1.29555i | ||||
\(853\) | −21.5927 | + | 15.6880i | −0.739319 | + | 0.537147i | −0.892498 | − | 0.451052i | \(-0.851049\pi\) |
0.153179 | + | 0.988198i | \(0.451049\pi\) | |||||||
\(854\) | −1.07329 | − | 0.189552i | −0.0367271 | − | 0.00648632i | ||||
\(855\) | −10.3513 | − | 11.4963i | −0.354006 | − | 0.393164i | ||||
\(856\) | −18.5573 | + | 10.6938i | −0.634274 | + | 0.365505i | ||||
\(857\) | 54.0029i | 1.84470i | 0.386350 | + | 0.922352i | \(0.373736\pi\) | ||||
−0.386350 | + | 0.922352i | \(0.626264\pi\) | |||||||
\(858\) | 29.6987 | − | 24.0647i | 1.01390 | − | 0.821554i | ||||
\(859\) | − | 20.1260i | − | 0.686689i | −0.939210 | − | 0.343344i | \(-0.888440\pi\) | ||
0.939210 | − | 0.343344i | \(-0.111560\pi\) | |||||||
\(860\) | 4.96031 | + | 0.175933i | 0.169145 | + | 0.00599925i | ||||
\(861\) | 11.1689 | + | 12.4043i | 0.380633 | + | 0.422736i | ||||
\(862\) | −2.39798 | + | 13.5779i | −0.0816757 | + | 0.462467i | ||||
\(863\) | −7.77071 | + | 5.64575i | −0.264518 | + | 0.192184i | −0.712137 | − | 0.702041i | \(-0.752272\pi\) |
0.447618 | + | 0.894225i | \(0.352272\pi\) | |||||||
\(864\) | −8.18581 | − | 7.92659i | −0.278487 | − | 0.269668i | ||||
\(865\) | −4.82990 | + | 5.36415i | −0.164221 | + | 0.182386i | ||||
\(866\) | 44.4795 | − | 11.0771i | 1.51148 | − | 0.376415i | ||||
\(867\) | 14.1282 | + | 1.48493i | 0.479819 | + | 0.0504310i | ||||
\(868\) | 13.3151 | − | 8.97054i | 0.451943 | − | 0.304480i | ||||
\(869\) | 10.1227 | + | 4.31823i | 0.343390 | + | 0.146486i | ||||
\(870\) | −12.8128 | + | 8.00145i | −0.434394 | + | 0.271274i | ||||
\(871\) | −9.10702 | + | 43.3499i | −0.308580 | + | 1.46885i | ||||
\(872\) | −9.17452 | + | 42.9894i | −0.310688 | + | 1.45580i | ||||
\(873\) | 5.17662 | − | 24.3541i | 0.175202 | − | 0.824261i | ||||
\(874\) | 32.3232 | − | 25.2395i | 1.09335 | − | 0.853737i | ||||
\(875\) | −9.12724 | − | 4.06371i | −0.308557 | − | 0.137378i | ||||
\(876\) | 5.87245 | − | 41.6196i | 0.198412 | − | 1.40620i | ||||
\(877\) | 19.5986 | − | 4.16581i | 0.661798 | − | 0.140670i | 0.135246 | − | 0.990812i | \(-0.456818\pi\) |
0.526553 | + | 0.850143i | \(0.323484\pi\) | |||||||
\(878\) | 20.2342 | − | 9.86205i | 0.682872 | − | 0.332828i | ||||
\(879\) | − | 37.8051i | − | 1.27514i | ||||||
\(880\) | −16.8516 | + | 0.834466i | −0.568068 | + | 0.0281298i | ||||
\(881\) | 1.33494 | − | 2.31218i | 0.0449752 | − | 0.0778993i | −0.842661 | − | 0.538444i | \(-0.819012\pi\) |
0.887637 | + | 0.460544i | \(0.152346\pi\) | |||||||
\(882\) | 15.1329 | + | 10.2133i | 0.509551 | + | 0.343899i | ||||
\(883\) | −26.3799 | − | 8.57134i | −0.887753 | − | 0.288448i | −0.170580 | − | 0.985344i | \(-0.554564\pi\) |
−0.717173 | + | 0.696895i | \(0.754564\pi\) | |||||||
\(884\) | −33.4314 | + | 9.65227i | −1.12442 | + | 0.324641i | ||||
\(885\) | 9.84473 | − | 7.15261i | 0.330927 | − | 0.240432i | ||||
\(886\) | −13.4677 | − | 17.2476i | −0.452457 | − | 0.579445i | ||||
\(887\) | −31.5830 | − | 6.71317i | −1.06045 | − | 0.225406i | −0.355511 | − | 0.934672i | \(-0.615693\pi\) |
−0.704941 | + | 0.709266i | \(0.749027\pi\) | |||||||
\(888\) | 16.0108 | − | 5.18771i | 0.537286 | − | 0.174088i | ||||
\(889\) | −4.56824 | + | 6.28764i | −0.153214 | + | 0.210881i | ||||
\(890\) | −1.36228 | + | 2.56039i | −0.0456637 | + | 0.0858244i | ||||
\(891\) | −36.0783 | + | 0.565200i | −1.20867 | + | 0.0189349i | ||||
\(892\) | 7.22268 | − | 14.7882i | 0.241833 | − | 0.495144i | ||||
\(893\) | 59.7038 | + | 6.27512i | 1.99791 | + | 0.209989i | ||||
\(894\) | −21.7600 | − | 6.24602i | −0.727764 | − | 0.208898i | ||||
\(895\) | −15.8167 | − | 3.36194i | −0.528693 | − | 0.112377i | ||||
\(896\) | −1.86113 | + | 10.4382i | −0.0621761 | + | 0.348716i | ||||
\(897\) | 35.4336 | − | 20.5697i | 1.18309 | − | 0.686801i | ||||
\(898\) | −4.41739 | − | 3.70869i | −0.147410 | − | 0.123761i | ||||
\(899\) | −23.6533 | + | 21.2975i | −0.788883 | + | 0.710313i | ||||
\(900\) | 0.505680 | − | 14.2573i | 0.0168560 | − | 0.475245i | ||||
\(901\) | 41.8096 | − | 24.1388i | 1.39288 | − | 0.804180i | ||||
\(902\) | −13.1741 | − | 34.5324i | −0.438650 | − | 1.14980i | ||||
\(903\) | −2.06672 | − | 3.57966i | −0.0687761 | − | 0.119124i | ||||
\(904\) | −0.00681839 | + | 8.31593i | −0.000226776 | + | 0.276584i | ||||
\(905\) | 18.5254 | + | 6.01927i | 0.615805 | + | 0.200087i | ||||
\(906\) | −16.5510 | − | 2.92306i | −0.549871 | − | 0.0971121i | ||||
\(907\) | 21.5707 | − | 2.26717i | 0.716244 | − | 0.0752802i | 0.260606 | − | 0.965445i | \(-0.416078\pi\) |
0.455638 | + | 0.890165i | \(0.349411\pi\) | |||||||
\(908\) | 5.42280 | − | 14.8737i | 0.179962 | − | 0.493601i | ||||
\(909\) | 5.15387 | − | 1.67459i | 0.170943 | − | 0.0555428i | ||||
\(910\) | 2.26483 | − | 5.63966i | 0.0750785 | − | 0.186953i | ||||
\(911\) | 2.08514 | − | 2.86995i | 0.0690838 | − | 0.0950856i | −0.773077 | − | 0.634312i | \(-0.781283\pi\) |
0.842161 | + | 0.539227i | \(0.181283\pi\) | |||||||
\(912\) | 51.6495 | − | 7.20129i | 1.71029 | − | 0.238459i | ||||
\(913\) | 31.7146 | + | 27.6688i | 1.04960 | + | 0.915704i | ||||
\(914\) | 3.03818 | − | 5.71022i | 0.100494 | − | 0.188877i | ||||
\(915\) | 1.38947 | − | 1.91244i | 0.0459345 | − | 0.0632234i | ||||
\(916\) | −7.83314 | − | 1.95757i | −0.258814 | − | 0.0646799i | ||||
\(917\) | 6.76163 | + | 6.08819i | 0.223289 | + | 0.201050i | ||||
\(918\) | 12.7438 | + | 5.15287i | 0.420608 | + | 0.170070i | ||||
\(919\) | 20.0884 | + | 8.94392i | 0.662654 | + | 0.295033i | 0.710370 | − | 0.703828i | \(-0.248528\pi\) |
−0.0477161 | + | 0.998861i | \(0.515194\pi\) | |||||||
\(920\) | −17.9840 | − | 1.90511i | −0.592916 | − | 0.0628096i | ||||
\(921\) | 23.7870 | + | 26.4181i | 0.783807 | + | 0.870506i | ||||
\(922\) | −3.61101 | + | 51.4378i | −0.118922 | + | 1.69401i | ||||
\(923\) | 39.1492 | + | 4.02100i | 1.28861 | + | 0.132353i | ||||
\(924\) | 8.03235 | + | 11.5286i | 0.264245 | + | 0.379263i | ||||
\(925\) | −7.71185 | − | 4.45244i | −0.253564 | − | 0.146395i | ||||
\(926\) | −30.8274 | − | 20.8056i | −1.01305 | − | 0.683714i | ||||
\(927\) | 2.10146 | + | 9.88658i | 0.0690209 | + | 0.324718i | ||||
\(928\) | 0.762291 | − | 21.0061i | 0.0250234 | − | 0.689559i | ||||
\(929\) | 18.6877 | − | 41.9732i | 0.613123 | − | 1.37710i | −0.293828 | − | 0.955858i | \(-0.594929\pi\) |
0.906950 | − | 0.421238i | \(-0.138404\pi\) | |||||||
\(930\) | 4.83688 | + | 34.4845i | 0.158607 | + | 1.13079i | ||||
\(931\) | 33.5820 | − | 10.9114i | 1.10061 | − | 0.357608i | ||||
\(932\) | −47.1760 | − | 11.7897i | −1.54530 | − | 0.386184i | ||||
\(933\) | −38.9166 | + | 17.3268i | −1.27407 | + | 0.567253i | ||||
\(934\) | 1.89898 | + | 54.8090i | 0.0621364 | + | 1.79341i | ||||
\(935\) | 18.4625 | − | 8.56902i | 0.603787 | − | 0.280237i | ||||
\(936\) | 21.5058 | − | 0.0333138i | 0.702939 | − | 0.00108889i | ||||
\(937\) | −20.6976 | + | 28.4878i | −0.676161 | + | 0.930656i | −0.999880 | − | 0.0154975i | \(-0.995067\pi\) |
0.323719 | + | 0.946153i | \(0.395067\pi\) | |||||||
\(938\) | −15.6507 | − | 4.49239i | −0.511013 | − | 0.146682i | ||||
\(939\) | −10.1211 | + | 47.6158i | −0.330288 | + | 1.55388i | ||||
\(940\) | −17.0056 | − | 20.2890i | −0.554662 | − | 0.661755i | ||||
\(941\) | 7.06742 | − | 5.13478i | 0.230391 | − | 0.167389i | −0.466600 | − | 0.884468i | \(-0.654521\pi\) |
0.696992 | + | 0.717079i | \(0.254521\pi\) | |||||||
\(942\) | 13.0236 | − | 73.7427i | 0.424332 | − | 2.40267i | ||||
\(943\) | −8.23660 | − | 38.7502i | −0.268221 | − | 1.26188i | ||||
\(944\) | 0.572445 | + | 16.9231i | 0.0186315 | + | 0.550800i | ||||
\(945\) | −2.07917 | + | 1.20041i | −0.0676355 | + | 0.0390494i | ||||
\(946\) | 1.41314 | + | 9.04288i | 0.0459453 | + | 0.294009i | ||||
\(947\) | −17.6977 | + | 30.6533i | −0.575098 | + | 0.996099i | 0.420933 | + | 0.907092i | \(0.361703\pi\) |
−0.996031 | + | 0.0890071i | \(0.971631\pi\) | |||||||
\(948\) | 7.03491 | + | 13.2482i | 0.228483 | + | 0.430282i | ||||
\(949\) | −19.7693 | − | 27.0750i | −0.641738 | − | 0.878891i | ||||
\(950\) | −21.1319 | − | 17.7416i | −0.685609 | − | 0.575614i | ||||
\(951\) | 4.27909 | + | 40.7128i | 0.138759 | + | 1.32020i | ||||
\(952\) | −2.64912 | − | 12.5136i | −0.0858583 | − | 0.405567i | ||||
\(953\) | 30.2429 | + | 27.2308i | 0.979664 | + | 0.882093i | 0.993035 | − | 0.117818i | \(-0.0375898\pi\) |
−0.0133717 | + | 0.999911i | \(0.504256\pi\) | |||||||
\(954\) | −28.9531 | + | 7.21041i | −0.937390 | + | 0.233446i | ||||
\(955\) | 0.239187 | − | 2.27571i | 0.00773990 | − | 0.0736402i | ||||
\(956\) | −1.97568 | − | 28.4772i | −0.0638980 | − | 0.921019i | ||||
\(957\) | −18.9610 | − | 20.4063i | −0.612923 | − | 0.659641i | ||||
\(958\) | −6.39924 | − | 3.40478i | −0.206750 | − | 0.110003i | ||||
\(959\) | −13.8915 | + | 6.18488i | −0.448579 | + | 0.199720i | ||||
\(960\) | −18.5826 | − | 13.5477i | −0.599751 | − | 0.437249i | ||||
\(961\) | 13.0934 | + | 40.2973i | 0.422368 | + | 1.29991i | ||||
\(962\) | 6.27719 | − | 11.8656i | 0.202385 | − | 0.382562i | ||||
\(963\) | −12.9190 | + | 9.38622i | −0.416310 | + | 0.302467i | ||||
\(964\) | 9.90821 | − | 12.6677i | 0.319122 | − | 0.407998i | ||||
\(965\) | −3.94904 | + | 3.55573i | −0.127124 | + | 0.114463i | ||||
\(966\) | 6.59840 | + | 13.5381i | 0.212300 | + | 0.435582i | ||||
\(967\) | 5.95650i | 0.191548i | 0.995403 | + | 0.0957740i | \(0.0305326\pi\) | ||||
−0.995403 | + | 0.0957740i | \(0.969467\pi\) | |||||||
\(968\) | −7.39403 | − | 30.2213i | −0.237653 | − | 0.971350i | ||||
\(969\) | −54.4824 | + | 31.4555i | −1.75023 | + | 1.01049i | ||||
\(970\) | −1.48710 | + | 21.1833i | −0.0477478 | + | 0.680154i | ||||
\(971\) | −0.0384695 | − | 0.180985i | −0.00123454 | − | 0.00580808i | 0.977526 | − | 0.210815i | \(-0.0676117\pi\) |
−0.978761 | + | 0.205007i | \(0.934278\pi\) | |||||||
\(972\) | −29.2185 | − | 22.8537i | −0.937183 | − | 0.733033i | ||||
\(973\) | −16.5325 | + | 1.73763i | −0.530006 | + | 0.0557059i | ||||
\(974\) | 7.50294 | + | 3.03377i | 0.240410 | + | 0.0972083i | ||||
\(975\) | −18.4938 | − | 20.4418i | −0.592274 | − | 0.654662i | ||||
\(976\) | 1.12165 | + | 3.09223i | 0.0359032 | + | 0.0989798i | ||||
\(977\) | −20.8150 | − | 46.7514i | −0.665932 | − | 1.49571i | −0.857637 | − | 0.514256i | \(-0.828068\pi\) |
0.191705 | − | 0.981453i | \(-0.438598\pi\) | |||||||
\(978\) | 2.57642 | + | 74.3618i | 0.0823849 | + | 2.37783i | ||||
\(979\) | −5.11159 | − | 1.57277i | −0.163367 | − | 0.0502660i | ||||
\(980\) | −13.9915 | − | 6.83359i | −0.446943 | − | 0.218291i | ||||
\(981\) | −3.42579 | + | 32.5943i | −0.109377 | + | 1.04065i | ||||
\(982\) | −14.8698 | − | 15.4065i | −0.474513 | − | 0.491642i | ||||
\(983\) | −10.9497 | − | 33.6998i | −0.349242 | − | 1.07486i | −0.959274 | − | 0.282479i | \(-0.908843\pi\) |
0.610032 | − | 0.792377i | \(-0.291157\pi\) | |||||||
\(984\) | 15.6064 | − | 47.8979i | 0.497514 | − | 1.52693i | ||||
\(985\) | −16.8575 | + | 1.77180i | −0.537126 | + | 0.0564542i | ||||
\(986\) | 8.66634 | + | 23.8308i | 0.275992 | + | 0.758928i | ||||
\(987\) | −6.81271 | + | 20.9674i | −0.216851 | + | 0.667399i | ||||
\(988\) | 25.5479 | − | 32.8230i | 0.812787 | − | 1.04424i | ||||
\(989\) | 9.81031i | 0.311950i | ||||||||
\(990\) | −12.4288 | + | 1.94226i | −0.395013 | + | 0.0617292i | ||||
\(991\) | 3.70177 | + | 2.13722i | 0.117591 | + | 0.0678909i | 0.557642 | − | 0.830082i | \(-0.311706\pi\) |
−0.440051 | + | 0.897973i | \(0.645040\pi\) | |||||||
\(992\) | −43.5219 | − | 21.3007i | −1.38182 | − | 0.676298i | ||||
\(993\) | −11.2099 | − | 3.64231i | −0.355734 | − | 0.115585i | ||||
\(994\) | −2.51596 | + | 14.2460i | −0.0798015 | + | 0.451854i | ||||
\(995\) | 4.54299 | + | 2.02267i | 0.144023 | + | 0.0641230i | ||||
\(996\) | 9.93051 | + | 56.4993i | 0.314660 | + | 1.79025i | ||||
\(997\) | −8.37341 | − | 7.53945i | −0.265189 | − | 0.238777i | 0.525799 | − | 0.850609i | \(-0.323766\pi\) |
−0.790988 | + | 0.611832i | \(0.790433\pi\) | |||||||
\(998\) | 10.9451 | − | 38.1308i | 0.346461 | − | 1.20701i | ||||
\(999\) | −4.84442 | + | 2.15688i | −0.153271 | + | 0.0682405i |
(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 | 572.2.bn.a.95.17 | ✓ | 640 | |
4.3 | odd | 2 | inner | 572.2.bn.a.95.38 | yes | 640 | |
11.8 | odd | 10 | inner | 572.2.bn.a.459.63 | yes | 640 | |
13.10 | even | 6 | inner | 572.2.bn.a.491.11 | yes | 640 | |
44.19 | even | 10 | inner | 572.2.bn.a.459.11 | yes | 640 | |
52.23 | odd | 6 | inner | 572.2.bn.a.491.63 | yes | 640 | |
143.140 | odd | 30 | inner | 572.2.bn.a.283.38 | yes | 640 | |
572.283 | even | 30 | inner | 572.2.bn.a.283.17 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bn.a.95.17 | ✓ | 640 | 1.1 | even | 1 | trivial | |
572.2.bn.a.95.38 | yes | 640 | 4.3 | odd | 2 | inner | |
572.2.bn.a.283.17 | yes | 640 | 572.283 | even | 30 | inner | |
572.2.bn.a.283.38 | yes | 640 | 143.140 | odd | 30 | inner | |
572.2.bn.a.459.11 | yes | 640 | 44.19 | even | 10 | inner | |
572.2.bn.a.459.63 | yes | 640 | 11.8 | odd | 10 | inner | |
572.2.bn.a.491.11 | yes | 640 | 13.10 | even | 6 | inner | |
572.2.bn.a.491.63 | yes | 640 | 52.23 | odd | 6 | inner |