Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(11,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.q (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 690.11 |
Dual form | 690.2.q.b.251.16 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.540641 | + | 0.841254i | 0.382291 | + | 0.594856i | ||||
\(3\) | 1.64273 | + | 0.549041i | 0.948429 | + | 0.316989i | ||||
\(4\) | −0.415415 | + | 0.909632i | −0.207708 | + | 0.454816i | ||||
\(5\) | 0.959493 | − | 0.281733i | 0.429098 | − | 0.125995i | ||||
\(6\) | 0.426243 | + | 1.67878i | 0.174013 | + | 0.685361i | ||||
\(7\) | 0.918508 | − | 0.795892i | 0.347163 | − | 0.300819i | −0.463772 | − | 0.885955i | \(-0.653504\pi\) |
0.810935 | + | 0.585136i | \(0.198959\pi\) | |||||||
\(8\) | −0.989821 | + | 0.142315i | −0.349955 | + | 0.0503159i | ||||
\(9\) | 2.39711 | + | 1.80385i | 0.799036 | + | 0.601283i | ||||
\(10\) | 0.755750 | + | 0.654861i | 0.238989 | + | 0.207085i | ||||
\(11\) | 3.79809 | + | 2.44088i | 1.14517 | + | 0.735954i | 0.968671 | − | 0.248347i | \(-0.0798873\pi\) |
0.176496 | + | 0.984301i | \(0.443524\pi\) | |||||||
\(12\) | −1.18184 | + | 1.26620i | −0.341168 | + | 0.365520i | ||||
\(13\) | 0.541306 | − | 0.624700i | 0.150131 | − | 0.173261i | −0.675702 | − | 0.737175i | \(-0.736160\pi\) |
0.825834 | + | 0.563914i | \(0.190705\pi\) | |||||||
\(14\) | 1.16613 | + | 0.342407i | 0.311661 | + | 0.0915120i | ||||
\(15\) | 1.73087 | + | 0.0639912i | 0.446908 | + | 0.0165225i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | −2.35358 | − | 5.15361i | −0.570826 | − | 1.24994i | −0.946356 | − | 0.323125i | \(-0.895267\pi\) |
0.375530 | − | 0.926810i | \(-0.377461\pi\) | |||||||
\(18\) | −0.221521 | + | 2.99181i | −0.0522129 | + | 0.705176i | ||||
\(19\) | −5.34856 | − | 2.44261i | −1.22704 | − | 0.560372i | −0.306822 | − | 0.951767i | \(-0.599266\pi\) |
−0.920223 | + | 0.391395i | \(0.871993\pi\) | |||||||
\(20\) | −0.142315 | + | 0.989821i | −0.0318226 | + | 0.221331i | ||||
\(21\) | 1.94584 | − | 0.803135i | 0.424616 | − | 0.175258i | ||||
\(22\) | 4.51480i | 0.962558i | ||||||||
\(23\) | −4.39922 | + | 1.90967i | −0.917301 | + | 0.398194i | ||||
\(24\) | −1.70414 | − | 0.309668i | −0.347857 | − | 0.0632107i | ||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | 0.818184 | + | 0.117637i | 0.160459 | + | 0.0230705i | ||||
\(27\) | 2.94741 | + | 4.27934i | 0.567229 | + | 0.823560i | ||||
\(28\) | 0.342407 | + | 1.16613i | 0.0647088 | + | 0.220378i | ||||
\(29\) | 6.42428 | − | 2.93387i | 1.19296 | − | 0.544806i | 0.282845 | − | 0.959166i | \(-0.408722\pi\) |
0.910113 | + | 0.414360i | \(0.135995\pi\) | |||||||
\(30\) | 0.881945 | + | 1.49070i | 0.161020 | + | 0.272162i | ||||
\(31\) | 0.809818 | + | 5.63241i | 0.145448 | + | 1.01161i | 0.923551 | + | 0.383475i | \(0.125273\pi\) |
−0.778104 | + | 0.628136i | \(0.783818\pi\) | |||||||
\(32\) | 0.281733 | − | 0.959493i | 0.0498038 | − | 0.169616i | ||||
\(33\) | 4.89908 | + | 6.09502i | 0.852821 | + | 1.06101i | ||||
\(34\) | 3.06306 | − | 4.76621i | 0.525310 | − | 0.817398i | ||||
\(35\) | 0.657074 | − | 1.02243i | 0.111066 | − | 0.172822i | ||||
\(36\) | −2.63663 | + | 1.43114i | −0.439439 | + | 0.238523i | ||||
\(37\) | −2.68722 | + | 9.15183i | −0.441776 | + | 1.50455i | 0.374685 | + | 0.927152i | \(0.377751\pi\) |
−0.816462 | + | 0.577400i | \(0.804067\pi\) | |||||||
\(38\) | −0.836800 | − | 5.82007i | −0.135747 | − | 0.944140i | ||||
\(39\) | 1.23220 | − | 0.729013i | 0.197311 | − | 0.116736i | ||||
\(40\) | −0.909632 | + | 0.415415i | −0.143825 | + | 0.0656829i | ||||
\(41\) | 0.674489 | + | 2.29710i | 0.105337 | + | 0.358746i | 0.995246 | − | 0.0973925i | \(-0.0310502\pi\) |
−0.889909 | + | 0.456139i | \(0.849232\pi\) | |||||||
\(42\) | 1.72764 | + | 1.20273i | 0.266580 | + | 0.185586i | ||||
\(43\) | −1.09713 | − | 0.157743i | −0.167311 | − | 0.0240557i | 0.0581503 | − | 0.998308i | \(-0.481480\pi\) |
−0.225461 | + | 0.974252i | \(0.572389\pi\) | |||||||
\(44\) | −3.79809 | + | 2.44088i | −0.572584 | + | 0.367977i | ||||
\(45\) | 2.80821 | + | 1.05544i | 0.418623 | + | 0.157335i | ||||
\(46\) | −3.98492 | − | 2.66842i | −0.587544 | − | 0.393436i | ||||
\(47\) | − | 10.1087i | − | 1.47450i | −0.675620 | − | 0.737250i | \(-0.736124\pi\) | ||
0.675620 | − | 0.737250i | \(-0.263876\pi\) | |||||||
\(48\) | −0.660820 | − | 1.60104i | −0.0953812 | − | 0.231090i | ||||
\(49\) | −0.785990 | + | 5.46668i | −0.112284 | + | 0.780955i | ||||
\(50\) | 0.909632 | + | 0.415415i | 0.128641 | + | 0.0587486i | ||||
\(51\) | −1.03674 | − | 9.75820i | −0.145173 | − | 1.36642i | ||||
\(52\) | 0.343381 | + | 0.751899i | 0.0476184 | + | 0.104270i | ||||
\(53\) | −4.13803 | − | 4.77554i | −0.568402 | − | 0.655971i | 0.396668 | − | 0.917962i | \(-0.370166\pi\) |
−0.965070 | + | 0.261991i | \(0.915621\pi\) | |||||||
\(54\) | −2.00652 | + | 4.79311i | −0.273053 | + | 0.652259i | ||||
\(55\) | 4.33192 | + | 1.27197i | 0.584116 | + | 0.171512i | ||||
\(56\) | −0.795892 | + | 0.918508i | −0.106356 | + | 0.122741i | ||||
\(57\) | −7.44514 | − | 6.94912i | −0.986133 | − | 0.920433i | ||||
\(58\) | 5.94135 | + | 3.81828i | 0.780138 | + | 0.501364i | ||||
\(59\) | −10.1925 | − | 8.83189i | −1.32696 | − | 1.14981i | −0.977046 | − | 0.213030i | \(-0.931667\pi\) |
−0.349910 | − | 0.936783i | \(-0.613788\pi\) | |||||||
\(60\) | −0.777237 | + | 1.54787i | −0.100341 | + | 0.199829i | ||||
\(61\) | −11.5222 | + | 1.65664i | −1.47526 | + | 0.212111i | −0.832530 | − | 0.553980i | \(-0.813108\pi\) |
−0.642732 | + | 0.766091i | \(0.722199\pi\) | |||||||
\(62\) | −4.30046 | + | 3.72637i | −0.546160 | + | 0.473250i | ||||
\(63\) | 3.63743 | − | 0.250988i | 0.458273 | − | 0.0316215i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | 0.343381 | − | 0.751899i | 0.0425912 | − | 0.0932616i | ||||
\(66\) | −2.47881 | + | 7.41658i | −0.305120 | + | 0.912918i | ||||
\(67\) | 3.39400 | + | 5.28116i | 0.414643 | + | 0.645197i | 0.984263 | − | 0.176712i | \(-0.0565460\pi\) |
−0.569620 | + | 0.821908i | \(0.692910\pi\) | |||||||
\(68\) | 5.66560 | 0.687055 | ||||||||
\(69\) | −8.27521 | + | 0.721716i | −0.996218 | + | 0.0868843i | ||||
\(70\) | 1.21536 | 0.145263 | ||||||||
\(71\) | 5.79095 | + | 9.01089i | 0.687259 | + | 1.06940i | 0.993095 | + | 0.117312i | \(0.0374277\pi\) |
−0.305836 | + | 0.952084i | \(0.598936\pi\) | |||||||
\(72\) | −2.62942 | − | 1.44435i | −0.309881 | − | 0.170218i | ||||
\(73\) | 3.89553 | − | 8.53001i | 0.455937 | − | 0.998362i | −0.532458 | − | 0.846456i | \(-0.678732\pi\) |
0.988395 | − | 0.151906i | \(-0.0485411\pi\) | |||||||
\(74\) | −9.15183 | + | 2.68722i | −1.06388 | + | 0.312383i | ||||
\(75\) | 1.67878 | − | 0.426243i | 0.193849 | − | 0.0492183i | ||||
\(76\) | 4.44375 | − | 3.85053i | 0.509733 | − | 0.441686i | ||||
\(77\) | 5.43126 | − | 0.780897i | 0.618949 | − | 0.0889915i | ||||
\(78\) | 1.27947 | + | 0.642462i | 0.144871 | + | 0.0727445i | ||||
\(79\) | −8.25506 | − | 7.15305i | −0.928767 | − | 0.804781i | 0.0522639 | − | 0.998633i | \(-0.483356\pi\) |
−0.981031 | + | 0.193852i | \(0.937902\pi\) | |||||||
\(80\) | −0.841254 | − | 0.540641i | −0.0940550 | − | 0.0604455i | ||||
\(81\) | 2.49225 | + | 8.64804i | 0.276917 | + | 0.960894i | ||||
\(82\) | −1.56779 | + | 1.80932i | −0.173133 | + | 0.199806i | ||||
\(83\) | 4.95270 | + | 1.45424i | 0.543630 | + | 0.159624i | 0.542006 | − | 0.840375i | \(-0.317665\pi\) |
0.00162375 | + | 0.999999i | \(0.499483\pi\) | |||||||
\(84\) | −0.0777724 | + | 2.10363i | −0.00848566 | + | 0.229525i | ||||
\(85\) | −3.71018 | − | 4.28178i | −0.402426 | − | 0.464424i | ||||
\(86\) | −0.460451 | − | 1.00825i | −0.0496517 | − | 0.108722i | ||||
\(87\) | 12.1641 | − | 1.29236i | 1.30413 | − | 0.138555i | ||||
\(88\) | −4.10681 | − | 1.87552i | −0.437787 | − | 0.199931i | ||||
\(89\) | 2.66990 | − | 18.5696i | 0.283009 | − | 1.96837i | 0.0360269 | − | 0.999351i | \(-0.488530\pi\) |
0.246982 | − | 0.969020i | \(-0.420561\pi\) | |||||||
\(90\) | 0.630343 | + | 2.93303i | 0.0664440 | + | 0.309169i | ||||
\(91\) | − | 1.00461i | − | 0.105312i | ||||||
\(92\) | 0.0904052 | − | 4.79498i | 0.00942539 | − | 0.499911i | ||||
\(93\) | −1.76211 | + | 9.69714i | −0.182723 | + | 1.00555i | ||||
\(94\) | 8.50395 | − | 5.46516i | 0.877115 | − | 0.563688i | ||||
\(95\) | −5.82007 | − | 0.836800i | −0.597127 | − | 0.0858539i | ||||
\(96\) | 0.989611 | − | 1.42150i | 0.101002 | − | 0.145082i | ||||
\(97\) | −2.65640 | − | 9.04686i | −0.269716 | − | 0.918569i | −0.977286 | − | 0.211926i | \(-0.932027\pi\) |
0.707570 | − | 0.706644i | \(-0.249792\pi\) | |||||||
\(98\) | −5.02381 | + | 2.29429i | −0.507481 | + | 0.231759i | ||||
\(99\) | 4.70144 | + | 12.7022i | 0.472513 | + | 1.27662i | ||||
\(100\) | 0.142315 | + | 0.989821i | 0.0142315 | + | 0.0989821i | ||||
\(101\) | −0.720376 | + | 2.45338i | −0.0716801 | + | 0.244120i | −0.987538 | − | 0.157384i | \(-0.949694\pi\) |
0.915857 | + | 0.401504i | \(0.131512\pi\) | |||||||
\(102\) | 7.64861 | − | 6.14784i | 0.757325 | − | 0.608727i | ||||
\(103\) | −2.93126 | + | 4.56113i | −0.288826 | + | 0.449421i | −0.955099 | − | 0.296286i | \(-0.904252\pi\) |
0.666274 | + | 0.745707i | \(0.267888\pi\) | |||||||
\(104\) | −0.446892 | + | 0.695378i | −0.0438214 | + | 0.0681874i | ||||
\(105\) | 1.64075 | − | 1.31881i | 0.160121 | − | 0.128702i | ||||
\(106\) | 1.78025 | − | 6.06298i | 0.172913 | − | 0.588889i | ||||
\(107\) | −0.0750997 | − | 0.522330i | −0.00726016 | − | 0.0504955i | 0.985869 | − | 0.167516i | \(-0.0535747\pi\) |
−0.993129 | + | 0.117021i | \(0.962666\pi\) | |||||||
\(108\) | −5.11703 | + | 0.903352i | −0.492386 | + | 0.0869251i | ||||
\(109\) | 2.22756 | − | 1.01729i | 0.213361 | − | 0.0974387i | −0.305868 | − | 0.952074i | \(-0.598947\pi\) |
0.519229 | + | 0.854635i | \(0.326219\pi\) | |||||||
\(110\) | 1.27197 | + | 4.33192i | 0.121277 | + | 0.413032i | ||||
\(111\) | −9.43910 | + | 13.5586i | −0.895920 | + | 1.28692i | ||||
\(112\) | −1.20299 | − | 0.172964i | −0.113672 | − | 0.0163435i | ||||
\(113\) | 12.0956 | − | 7.77336i | 1.13786 | − | 0.731256i | 0.170672 | − | 0.985328i | \(-0.445406\pi\) |
0.967185 | + | 0.254072i | \(0.0817699\pi\) | |||||||
\(114\) | 1.82082 | − | 10.0202i | 0.170536 | − | 0.938480i | ||||
\(115\) | −3.68301 | + | 3.07172i | −0.343442 | + | 0.286439i | ||||
\(116\) | 7.06250i | 0.655737i | ||||||||
\(117\) | 2.42443 | − | 0.521040i | 0.224139 | − | 0.0481701i | ||||
\(118\) | 1.91935 | − | 13.3494i | 0.176691 | − | 1.22891i | ||||
\(119\) | −6.26350 | − | 2.86044i | −0.574174 | − | 0.262217i | ||||
\(120\) | −1.72236 | + | 0.182988i | −0.157229 | + | 0.0167045i | ||||
\(121\) | 3.89801 | + | 8.53545i | 0.354364 | + | 0.775950i | ||||
\(122\) | −7.62301 | − | 8.79742i | −0.690154 | − | 0.796481i | ||||
\(123\) | −0.153200 | + | 4.14383i | −0.0138136 | + | 0.373636i | ||||
\(124\) | −5.45983 | − | 1.60315i | −0.490307 | − | 0.143967i | ||||
\(125\) | 0.654861 | − | 0.755750i | 0.0585725 | − | 0.0675963i | ||||
\(126\) | 2.17769 | + | 2.92431i | 0.194004 | + | 0.260518i | ||||
\(127\) | −6.55966 | − | 4.21564i | −0.582076 | − | 0.374077i | 0.216218 | − | 0.976345i | \(-0.430628\pi\) |
−0.798294 | + | 0.602268i | \(0.794264\pi\) | |||||||
\(128\) | 0.755750 | + | 0.654861i | 0.0667995 | + | 0.0578821i | ||||
\(129\) | −1.71568 | − | 0.861499i | −0.151057 | − | 0.0758508i | ||||
\(130\) | 0.818184 | − | 0.117637i | 0.0717594 | − | 0.0103174i | ||||
\(131\) | 5.92912 | − | 5.13761i | 0.518030 | − | 0.448875i | −0.356185 | − | 0.934416i | \(-0.615923\pi\) |
0.874214 | + | 0.485540i | \(0.161377\pi\) | |||||||
\(132\) | −7.57937 | + | 1.92440i | −0.659700 | + | 0.167498i | ||||
\(133\) | −6.85675 | + | 2.01332i | −0.594556 | + | 0.174577i | ||||
\(134\) | −2.60786 | + | 5.71042i | −0.225285 | + | 0.493305i | ||||
\(135\) | 4.03365 | + | 3.27562i | 0.347161 | + | 0.281921i | ||||
\(136\) | 3.06306 | + | 4.76621i | 0.262655 | + | 0.408699i | ||||
\(137\) | −5.17810 | −0.442395 | −0.221198 | − | 0.975229i | \(-0.570997\pi\) | ||||
−0.221198 | + | 0.975229i | \(0.570997\pi\) | |||||||
\(138\) | −5.08106 | − | 6.57136i | −0.432529 | − | 0.559391i | ||||
\(139\) | 4.09865 | 0.347643 | 0.173821 | − | 0.984777i | \(-0.444388\pi\) | ||||
0.173821 | + | 0.984777i | \(0.444388\pi\) | |||||||
\(140\) | 0.657074 | + | 1.02243i | 0.0555329 | + | 0.0864108i | ||||
\(141\) | 5.55007 | − | 16.6058i | 0.467400 | − | 1.39846i | ||||
\(142\) | −4.44962 | + | 9.74331i | −0.373404 | + | 0.817640i | ||||
\(143\) | 3.58075 | − | 1.05140i | 0.299437 | − | 0.0879227i | ||||
\(144\) | −0.206513 | − | 2.99288i | −0.0172094 | − | 0.249407i | ||||
\(145\) | 5.33748 | − | 4.62495i | 0.443254 | − | 0.384081i | ||||
\(146\) | 9.28198 | − | 1.33455i | 0.768182 | − | 0.110448i | ||||
\(147\) | −4.29260 | + | 8.54873i | −0.354048 | + | 0.705087i | ||||
\(148\) | −7.20849 | − | 6.24619i | −0.592534 | − | 0.513434i | ||||
\(149\) | −4.17612 | − | 2.68383i | −0.342121 | − | 0.219868i | 0.358285 | − | 0.933612i | \(-0.383361\pi\) |
−0.700406 | + | 0.713744i | \(0.746998\pi\) | |||||||
\(150\) | 1.26620 | + | 1.18184i | 0.103385 | + | 0.0964968i | ||||
\(151\) | −2.90627 | + | 3.35401i | −0.236509 | + | 0.272946i | −0.861580 | − | 0.507622i | \(-0.830525\pi\) |
0.625071 | + | 0.780568i | \(0.285070\pi\) | |||||||
\(152\) | 5.64174 | + | 1.65656i | 0.457606 | + | 0.134365i | ||||
\(153\) | 3.65457 | − | 16.5993i | 0.295454 | − | 1.34197i | ||||
\(154\) | 3.59329 | + | 4.14688i | 0.289556 | + | 0.334165i | ||||
\(155\) | 2.36385 | + | 5.17611i | 0.189869 | + | 0.415755i | ||||
\(156\) | 0.151258 | + | 1.42370i | 0.0121103 | + | 0.113987i | ||||
\(157\) | −7.02196 | − | 3.20682i | −0.560414 | − | 0.255932i | 0.115007 | − | 0.993365i | \(-0.463311\pi\) |
−0.675421 | + | 0.737432i | \(0.736038\pi\) | |||||||
\(158\) | 1.55451 | − | 10.8118i | 0.123670 | − | 0.860143i | ||||
\(159\) | −4.17569 | − | 10.1169i | −0.331154 | − | 0.802319i | ||||
\(160\) | − | 1.00000i | − | 0.0790569i | ||||||
\(161\) | −2.52083 | + | 5.25535i | −0.198669 | + | 0.414180i | ||||
\(162\) | −5.92779 | + | 6.77210i | −0.465731 | + | 0.532067i | ||||
\(163\) | 9.13396 | − | 5.87004i | 0.715427 | − | 0.459777i | −0.131616 | − | 0.991301i | \(-0.542017\pi\) |
0.847043 | + | 0.531524i | \(0.178380\pi\) | |||||||
\(164\) | −2.36971 | − | 0.340712i | −0.185043 | − | 0.0266052i | ||||
\(165\) | 6.41780 | + | 4.46789i | 0.499625 | + | 0.347825i | ||||
\(166\) | 1.45424 | + | 4.95270i | 0.112871 | + | 0.384404i | ||||
\(167\) | 8.04012 | − | 3.67180i | 0.622163 | − | 0.284132i | −0.0792861 | − | 0.996852i | \(-0.525264\pi\) |
0.701449 | + | 0.712720i | \(0.252537\pi\) | |||||||
\(168\) | −1.81173 | + | 1.07188i | −0.139778 | + | 0.0826975i | ||||
\(169\) | 1.75285 | + | 12.1914i | 0.134835 | + | 0.937798i | ||||
\(170\) | 1.59619 | − | 5.43611i | 0.122422 | − | 0.416930i | ||||
\(171\) | −8.41499 | − | 15.5032i | −0.643510 | − | 1.18556i | ||||
\(172\) | 0.599253 | − | 0.932456i | 0.0456926 | − | 0.0710991i | ||||
\(173\) | −5.31578 | + | 8.27151i | −0.404151 | + | 0.628871i | −0.982356 | − | 0.187020i | \(-0.940117\pi\) |
0.578205 | + | 0.815892i | \(0.303753\pi\) | |||||||
\(174\) | 7.66363 | + | 9.53443i | 0.580979 | + | 0.722803i | ||||
\(175\) | 0.342407 | − | 1.16613i | 0.0258835 | − | 0.0881511i | ||||
\(176\) | −0.642523 | − | 4.46884i | −0.0484320 | − | 0.336852i | ||||
\(177\) | −11.8945 | − | 20.1045i | −0.894045 | − | 1.51115i | ||||
\(178\) | 17.0652 | − | 7.79341i | 1.27909 | − | 0.584140i | ||||
\(179\) | 7.40069 | + | 25.2044i | 0.553153 | + | 1.88387i | 0.459299 | + | 0.888282i | \(0.348101\pi\) |
0.0938544 | + | 0.995586i | \(0.470081\pi\) | |||||||
\(180\) | −2.12663 | + | 2.11599i | −0.158510 | + | 0.157717i | ||||
\(181\) | 17.9041 | + | 2.57422i | 1.33080 | + | 0.191340i | 0.770761 | − | 0.637125i | \(-0.219876\pi\) |
0.560041 | + | 0.828465i | \(0.310785\pi\) | |||||||
\(182\) | 0.845135 | − | 0.543135i | 0.0626455 | − | 0.0402598i | ||||
\(183\) | −19.8373 | − | 3.60474i | −1.46642 | − | 0.266470i | ||||
\(184\) | 4.08267 | − | 2.51631i | 0.300978 | − | 0.185505i | ||||
\(185\) | 9.53820i | 0.701262i | ||||||||
\(186\) | −9.11042 | + | 3.76029i | −0.668009 | + | 0.275717i | ||||
\(187\) | 3.64028 | − | 25.3187i | 0.266204 | − | 1.85149i | ||||
\(188\) | 9.19516 | + | 4.19929i | 0.670626 | + | 0.306265i | ||||
\(189\) | 6.11311 | + | 1.58480i | 0.444664 | + | 0.115277i | ||||
\(190\) | −2.44261 | − | 5.34856i | −0.177205 | − | 0.388026i | ||||
\(191\) | 10.4151 | + | 12.0197i | 0.753611 | + | 0.869713i | 0.994913 | − | 0.100737i | \(-0.0321199\pi\) |
−0.241302 | + | 0.970450i | \(0.577574\pi\) | |||||||
\(192\) | 1.73087 | + | 0.0639912i | 0.124915 | + | 0.00461817i | ||||
\(193\) | −13.5764 | − | 3.98640i | −0.977253 | − | 0.286947i | −0.246163 | − | 0.969228i | \(-0.579170\pi\) |
−0.731090 | + | 0.682281i | \(0.760988\pi\) | |||||||
\(194\) | 6.17454 | − | 7.12580i | 0.443306 | − | 0.511603i | ||||
\(195\) | 0.976905 | − | 1.04664i | 0.0699576 | − | 0.0749511i | ||||
\(196\) | −4.64616 | − | 2.98590i | −0.331868 | − | 0.213279i | ||||
\(197\) | −20.2144 | − | 17.5159i | −1.44022 | − | 1.24796i | −0.918839 | − | 0.394632i | \(-0.870872\pi\) |
−0.521380 | − | 0.853325i | \(-0.674582\pi\) | |||||||
\(198\) | −8.14402 | + | 10.8225i | −0.578770 | + | 0.769119i | ||||
\(199\) | −2.29120 | + | 0.329425i | −0.162419 | + | 0.0233523i | −0.223044 | − | 0.974808i | \(-0.571599\pi\) |
0.0606257 | + | 0.998161i | \(0.480690\pi\) | |||||||
\(200\) | −0.755750 | + | 0.654861i | −0.0534396 | + | 0.0463056i | ||||
\(201\) | 2.67584 | + | 10.5390i | 0.188739 | + | 0.743360i | ||||
\(202\) | −2.45338 | + | 0.720376i | −0.172619 | + | 0.0506855i | ||||
\(203\) | 3.56571 | − | 7.80781i | 0.250264 | − | 0.548001i | ||||
\(204\) | 9.30704 | + | 3.11065i | 0.651623 | + | 0.217789i | ||||
\(205\) | 1.29433 | + | 2.01402i | 0.0904002 | + | 0.140666i | ||||
\(206\) | −5.42182 | −0.377756 | ||||||||
\(207\) | −13.9902 | − | 3.35785i | −0.972384 | − | 0.233387i | ||||
\(208\) | −0.826597 | −0.0573142 | ||||||||
\(209\) | −14.3522 | − | 22.3325i | −0.992763 | − | 1.54477i | ||||
\(210\) | 1.99651 | + | 0.667283i | 0.137772 | + | 0.0460469i | ||||
\(211\) | 0.389953 | − | 0.853877i | 0.0268454 | − | 0.0587833i | −0.895734 | − | 0.444590i | \(-0.853349\pi\) |
0.922580 | + | 0.385806i | \(0.126077\pi\) | |||||||
\(212\) | 6.06298 | − | 1.78025i | 0.416407 | − | 0.122268i | ||||
\(213\) | 4.56560 | + | 17.9819i | 0.312830 | + | 1.23210i | ||||
\(214\) | 0.398810 | − | 0.345571i | 0.0272621 | − | 0.0236227i | ||||
\(215\) | −1.09713 | + | 0.157743i | −0.0748236 | + | 0.0107580i | ||||
\(216\) | −3.52642 | − | 3.81633i | −0.239943 | − | 0.259668i | ||||
\(217\) | 5.22661 | + | 4.52889i | 0.354806 | + | 0.307441i | ||||
\(218\) | 2.06011 | + | 1.32395i | 0.139528 | + | 0.0896692i | ||||
\(219\) | 11.0826 | − | 11.8737i | 0.748894 | − | 0.802349i | ||||
\(220\) | −2.95656 | + | 3.41206i | −0.199332 | + | 0.230041i | ||||
\(221\) | −4.49347 | − | 1.31940i | −0.302264 | − | 0.0887526i | ||||
\(222\) | −16.5094 | − | 0.610360i | −1.10804 | − | 0.0409647i | ||||
\(223\) | 12.8486 | + | 14.8281i | 0.860409 | + | 0.992965i | 0.999996 | + | 0.00275528i | \(0.000877034\pi\) |
−0.139587 | + | 0.990210i | \(0.544578\pi\) | |||||||
\(224\) | −0.504879 | − | 1.10553i | −0.0337336 | − | 0.0738664i | ||||
\(225\) | 2.99181 | + | 0.221521i | 0.199454 | + | 0.0147680i | ||||
\(226\) | 13.0787 | + | 5.97286i | 0.869985 | + | 0.397309i | ||||
\(227\) | 0.618974 | − | 4.30506i | 0.0410828 | − | 0.285737i | −0.958915 | − | 0.283693i | \(-0.908440\pi\) |
0.999998 | − | 0.00204388i | \(-0.000650586\pi\) | |||||||
\(228\) | 9.41396 | − | 3.88557i | 0.623455 | − | 0.257328i | ||||
\(229\) | 3.54266i | 0.234105i | 0.993126 | + | 0.117053i | \(0.0373446\pi\) | ||||
−0.993126 | + | 0.117053i | \(0.962655\pi\) | |||||||
\(230\) | −4.57528 | − | 1.43764i | −0.301685 | − | 0.0947955i | ||||
\(231\) | 9.35082 | + | 1.69918i | 0.615239 | + | 0.111798i | ||||
\(232\) | −5.94135 | + | 3.81828i | −0.390069 | + | 0.250682i | ||||
\(233\) | 15.9742 | + | 2.29675i | 1.04651 | + | 0.150465i | 0.644057 | − | 0.764977i | \(-0.277250\pi\) |
0.402450 | + | 0.915442i | \(0.368159\pi\) | |||||||
\(234\) | 1.74907 | + | 1.75787i | 0.114341 | + | 0.114915i | ||||
\(235\) | −2.84794 | − | 9.69919i | −0.185779 | − | 0.632705i | ||||
\(236\) | 12.2679 | − | 5.60256i | 0.798572 | − | 0.364696i | ||||
\(237\) | −9.63350 | − | 16.2829i | −0.625763 | − | 1.05769i | ||||
\(238\) | −0.979945 | − | 6.81566i | −0.0635204 | − | 0.441794i | ||||
\(239\) | −3.19474 | + | 10.8803i | −0.206651 | + | 0.703788i | 0.789310 | + | 0.613995i | \(0.210439\pi\) |
−0.995960 | + | 0.0897928i | \(0.971380\pi\) | |||||||
\(240\) | −1.08512 | − | 1.35001i | −0.0700440 | − | 0.0871427i | ||||
\(241\) | 4.24250 | − | 6.60147i | 0.273284 | − | 0.425238i | −0.677300 | − | 0.735707i | \(-0.736850\pi\) |
0.950583 | + | 0.310470i | \(0.100486\pi\) | |||||||
\(242\) | −5.07305 | + | 7.89382i | −0.326108 | + | 0.507434i | ||||
\(243\) | −0.654041 | + | 15.5747i | −0.0419567 | + | 0.999119i | ||||
\(244\) | 3.27955 | − | 11.1691i | 0.209952 | − | 0.715030i | ||||
\(245\) | 0.785990 | + | 5.46668i | 0.0502151 | + | 0.349254i | ||||
\(246\) | −3.56884 | + | 2.11144i | −0.227541 | + | 0.134621i | ||||
\(247\) | −4.42111 | + | 2.01905i | −0.281308 | + | 0.128469i | ||||
\(248\) | −1.60315 | − | 5.45983i | −0.101800 | − | 0.346700i | ||||
\(249\) | 7.33750 | + | 5.10817i | 0.464995 | + | 0.323717i | ||||
\(250\) | 0.989821 | + | 0.142315i | 0.0626018 | + | 0.00900078i | ||||
\(251\) | −22.5645 | + | 14.5013i | −1.42426 | + | 0.915316i | −0.424307 | + | 0.905518i | \(0.639482\pi\) |
−0.999952 | + | 0.00979751i | \(0.996881\pi\) | |||||||
\(252\) | −1.28274 | + | 3.41299i | −0.0808049 | + | 0.214998i | ||||
\(253\) | −21.3699 | − | 3.48489i | −1.34352 | − | 0.219093i | ||||
\(254\) | − | 7.79748i | − | 0.489258i | ||||||
\(255\) | −3.74395 | − | 9.07084i | −0.234455 | − | 0.568038i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −17.5364 | − | 8.00861i | −1.09389 | − | 0.499563i | −0.215014 | − | 0.976611i | \(-0.568980\pi\) |
−0.878878 | + | 0.477048i | \(0.841707\pi\) | |||||||
\(258\) | −0.202827 | − | 1.90908i | −0.0126274 | − | 0.118854i | ||||
\(259\) | 4.81563 | + | 10.5448i | 0.299229 | + | 0.655220i | ||||
\(260\) | 0.541306 | + | 0.624700i | 0.0335704 | + | 0.0387423i | ||||
\(261\) | 20.6919 | + | 4.55563i | 1.28080 | + | 0.281986i | ||||
\(262\) | 7.52756 | + | 2.21029i | 0.465054 | + | 0.136552i | ||||
\(263\) | −6.40556 | + | 7.39241i | −0.394984 | + | 0.455836i | −0.918055 | − | 0.396453i | \(-0.870241\pi\) |
0.523071 | + | 0.852289i | \(0.324786\pi\) | |||||||
\(264\) | −5.71663 | − | 5.33577i | −0.351834 | − | 0.328394i | ||||
\(265\) | −5.31584 | − | 3.41628i | −0.326549 | − | 0.209860i | ||||
\(266\) | −5.40076 | − | 4.67978i | −0.331142 | − | 0.286936i | ||||
\(267\) | 14.5814 | − | 29.0389i | 0.892366 | − | 1.77715i | ||||
\(268\) | −6.21383 | + | 0.893414i | −0.379570 | + | 0.0545739i | ||||
\(269\) | −5.20011 | + | 4.50592i | −0.317057 | + | 0.274731i | −0.798820 | − | 0.601570i | \(-0.794542\pi\) |
0.481763 | + | 0.876301i | \(0.339997\pi\) | |||||||
\(270\) | −0.574873 | + | 5.16425i | −0.0349856 | + | 0.314287i | ||||
\(271\) | −18.0293 | + | 5.29387i | −1.09520 | + | 0.321580i | −0.778944 | − | 0.627094i | \(-0.784244\pi\) |
−0.316257 | + | 0.948674i | \(0.602426\pi\) | |||||||
\(272\) | −2.35358 | + | 5.15361i | −0.142707 | + | 0.312484i | ||||
\(273\) | 0.551574 | − | 1.65031i | 0.0333828 | − | 0.0998811i | ||||
\(274\) | −2.79949 | − | 4.35610i | −0.169124 | − | 0.263162i | ||||
\(275\) | 4.51480 | 0.272253 | ||||||||
\(276\) | 2.78115 | − | 7.82721i | 0.167406 | − | 0.471143i | ||||
\(277\) | 7.95458 | 0.477944 | 0.238972 | − | 0.971026i | \(-0.423190\pi\) | ||||
0.238972 | + | 0.971026i | \(0.423190\pi\) | |||||||
\(278\) | 2.21590 | + | 3.44800i | 0.132901 | + | 0.206797i | ||||
\(279\) | −8.21880 | + | 14.9623i | −0.492047 | + | 0.895769i | ||||
\(280\) | −0.504879 | + | 1.10553i | −0.0301723 | + | 0.0660681i | ||||
\(281\) | 26.1373 | − | 7.67461i | 1.55922 | − | 0.457829i | 0.615382 | − | 0.788229i | \(-0.289002\pi\) |
0.943841 | + | 0.330400i | \(0.107184\pi\) | |||||||
\(282\) | 16.9703 | − | 4.30875i | 1.01056 | − | 0.256582i | ||||
\(283\) | −4.81602 | + | 4.17311i | −0.286283 | + | 0.248066i | −0.786149 | − | 0.618037i | \(-0.787928\pi\) |
0.499866 | + | 0.866103i | \(0.333383\pi\) | |||||||
\(284\) | −10.6022 | + | 1.52437i | −0.629127 | + | 0.0904548i | ||||
\(285\) | −9.10135 | − | 4.57009i | −0.539118 | − | 0.270709i | ||||
\(286\) | 2.82040 | + | 2.44389i | 0.166774 | + | 0.144510i | ||||
\(287\) | 2.44777 | + | 1.57308i | 0.144487 | + | 0.0928562i | ||||
\(288\) | 2.40612 | − | 1.79180i | 0.141782 | − | 0.105583i | ||||
\(289\) | −9.88779 | + | 11.4111i | −0.581635 | + | 0.671242i | ||||
\(290\) | 6.77642 | + | 1.98974i | 0.397925 | + | 0.116841i | ||||
\(291\) | 0.603360 | − | 16.3200i | 0.0353696 | − | 0.956695i | ||||
\(292\) | 6.14091 | + | 7.08699i | 0.359370 | + | 0.414735i | ||||
\(293\) | −2.93117 | − | 6.41837i | −0.171241 | − | 0.374965i | 0.804481 | − | 0.593978i | \(-0.202444\pi\) |
−0.975722 | + | 0.219013i | \(0.929716\pi\) | |||||||
\(294\) | −9.51241 | + | 1.01063i | −0.554775 | + | 0.0589409i | ||||
\(295\) | −12.2679 | − | 5.60256i | −0.714265 | − | 0.326194i | ||||
\(296\) | 1.35743 | − | 9.44111i | 0.0788988 | − | 0.548753i | ||||
\(297\) | 0.749135 | + | 23.4476i | 0.0434692 | + | 1.36057i | ||||
\(298\) | − | 4.96416i | − | 0.287566i | ||||||
\(299\) | −1.18835 | + | 3.78191i | −0.0687242 | + | 0.218714i | ||||
\(300\) | −0.309668 | + | 1.70414i | −0.0178787 | + | 0.0983888i | ||||
\(301\) | −1.13327 | + | 0.728308i | −0.0653206 | + | 0.0419790i | ||||
\(302\) | −4.39282 | − | 0.631593i | −0.252779 | − | 0.0363441i | ||||
\(303\) | −2.53039 | + | 3.63471i | −0.145367 | + | 0.208809i | ||||
\(304\) | 1.65656 | + | 5.64174i | 0.0950105 | + | 0.323576i | ||||
\(305\) | −10.5887 | + | 4.83570i | −0.606308 | + | 0.276891i | ||||
\(306\) | 15.9400 | − | 5.89982i | 0.911229 | − | 0.337270i | ||||
\(307\) | 2.93857 | + | 20.4382i | 0.167713 | + | 1.16647i | 0.883596 | + | 0.468249i | \(0.155115\pi\) |
−0.715884 | + | 0.698220i | \(0.753976\pi\) | |||||||
\(308\) | −1.54590 | + | 5.26484i | −0.0880857 | + | 0.299992i | ||||
\(309\) | −7.31951 | + | 5.88331i | −0.416392 | + | 0.334690i | ||||
\(310\) | −3.07642 | + | 4.78701i | −0.174729 | + | 0.271884i | ||||
\(311\) | −5.55004 | + | 8.63602i | −0.314714 | + | 0.489704i | −0.962189 | − | 0.272382i | \(-0.912188\pi\) |
0.647475 | + | 0.762086i | \(0.275825\pi\) | |||||||
\(312\) | −1.11591 | + | 0.896954i | −0.0631761 | + | 0.0507800i | ||||
\(313\) | 4.79668 | − | 16.3360i | 0.271124 | − | 0.923365i | −0.705554 | − | 0.708656i | \(-0.749302\pi\) |
0.976678 | − | 0.214708i | \(-0.0688801\pi\) | |||||||
\(314\) | −1.09861 | − | 7.64099i | −0.0619981 | − | 0.431206i | ||||
\(315\) | 3.41938 | − | 1.26560i | 0.192660 | − | 0.0713087i | ||||
\(316\) | 9.93592 | − | 4.53758i | 0.558939 | − | 0.255259i | ||||
\(317\) | −1.15062 | − | 3.91864i | −0.0646251 | − | 0.220093i | 0.920849 | − | 0.389920i | \(-0.127497\pi\) |
−0.985474 | + | 0.169827i | \(0.945679\pi\) | |||||||
\(318\) | 6.25330 | − | 8.98240i | 0.350668 | − | 0.503708i | ||||
\(319\) | 31.5612 | + | 4.53782i | 1.76709 | + | 0.254069i | ||||
\(320\) | 0.841254 | − | 0.540641i | 0.0470275 | − | 0.0302227i | ||||
\(321\) | 0.163412 | − | 0.899279i | 0.00912078 | − | 0.0501928i | ||||
\(322\) | −5.78395 | + | 0.720602i | −0.322327 | + | 0.0401576i | ||||
\(323\) | 33.3133i | 1.85360i | ||||||||
\(324\) | −8.90186 | − | 1.32550i | −0.494548 | − | 0.0736386i | ||||
\(325\) | 0.117637 | − | 0.818184i | 0.00652533 | − | 0.0453847i | ||||
\(326\) | 9.87638 | + | 4.51039i | 0.547002 | + | 0.249808i | ||||
\(327\) | 4.21780 | − | 0.448112i | 0.233245 | − | 0.0247806i | ||||
\(328\) | −0.994535 | − | 2.17773i | −0.0549140 | − | 0.120245i | ||||
\(329\) | −8.04540 | − | 9.28489i | −0.443557 | − | 0.511893i | ||||
\(330\) | −0.288907 | + | 7.81452i | −0.0159038 | + | 0.430175i | ||||
\(331\) | 16.0827 | + | 4.72230i | 0.883984 | + | 0.259561i | 0.692052 | − | 0.721847i | \(-0.256707\pi\) |
0.191931 | + | 0.981408i | \(0.438525\pi\) | |||||||
\(332\) | −3.38026 | + | 3.90102i | −0.185516 | + | 0.214096i | ||||
\(333\) | −22.9501 | + | 17.0906i | −1.25766 | + | 0.936558i | ||||
\(334\) | 7.43573 | + | 4.77865i | 0.406865 | + | 0.261476i | ||||
\(335\) | 4.74439 | + | 4.11104i | 0.259214 | + | 0.224610i | ||||
\(336\) | −1.88122 | − | 0.944623i | −0.102629 | − | 0.0515334i | ||||
\(337\) | 22.0624 | − | 3.17209i | 1.20181 | − | 0.172795i | 0.487818 | − | 0.872945i | \(-0.337793\pi\) |
0.713995 | + | 0.700151i | \(0.246884\pi\) | |||||||
\(338\) | −9.30837 | + | 8.06575i | −0.506309 | + | 0.438719i | ||||
\(339\) | 24.1377 | − | 6.12854i | 1.31098 | − | 0.332857i | ||||
\(340\) | 5.43611 | − | 1.59619i | 0.294814 | − | 0.0865653i | ||||
\(341\) | −10.6723 | + | 23.3691i | −0.577937 | + | 1.26551i | ||||
\(342\) | 8.49263 | − | 15.4608i | 0.459229 | − | 0.836024i | ||||
\(343\) | 8.22847 | + | 12.8037i | 0.444295 | + | 0.691337i | ||||
\(344\) | 1.10841 | 0.0597616 | ||||||||
\(345\) | −7.73668 | + | 3.02388i | −0.416529 | + | 0.162800i | ||||
\(346\) | −9.83236 | −0.528591 | ||||||||
\(347\) | 11.4610 | + | 17.8337i | 0.615261 | + | 0.957364i | 0.999419 | + | 0.0340970i | \(0.0108555\pi\) |
−0.384158 | + | 0.923267i | \(0.625508\pi\) | |||||||
\(348\) | −3.87760 | + | 11.6018i | −0.207861 | + | 0.621920i | ||||
\(349\) | −8.89410 | + | 19.4754i | −0.476090 | + | 1.04249i | 0.507430 | + | 0.861693i | \(0.330596\pi\) |
−0.983520 | + | 0.180799i | \(0.942132\pi\) | |||||||
\(350\) | 1.16613 | − | 0.342407i | 0.0623323 | − | 0.0183024i | ||||
\(351\) | 4.26876 | + | 0.475188i | 0.227849 | + | 0.0253637i | ||||
\(352\) | 3.41206 | − | 2.95656i | 0.181863 | − | 0.157585i | ||||
\(353\) | −7.32358 | + | 1.05297i | −0.389795 | + | 0.0560441i | −0.334426 | − | 0.942422i | \(-0.608543\pi\) |
−0.0553688 | + | 0.998466i | \(0.517633\pi\) | |||||||
\(354\) | 10.4823 | − | 20.8756i | 0.557130 | − | 1.10953i | ||||
\(355\) | 8.09503 | + | 7.01439i | 0.429640 | + | 0.372285i | ||||
\(356\) | 15.7824 | + | 10.1427i | 0.836463 | + | 0.537562i | ||||
\(357\) | −8.71872 | − | 8.13785i | −0.461444 | − | 0.430701i | ||||
\(358\) | −17.2022 | + | 19.8524i | −0.909165 | + | 1.04923i | ||||
\(359\) | 27.6335 | + | 8.11392i | 1.45844 | + | 0.428236i | 0.912322 | − | 0.409473i | \(-0.134288\pi\) |
0.546116 | + | 0.837709i | \(0.316106\pi\) | |||||||
\(360\) | −2.92983 | − | 0.645045i | −0.154416 | − | 0.0339969i | ||||
\(361\) | 10.1984 | + | 11.7696i | 0.536760 | + | 0.619454i | ||||
\(362\) | 7.51412 | + | 16.4536i | 0.394933 | + | 0.864783i | ||||
\(363\) | 1.71705 | + | 16.1616i | 0.0901220 | + | 0.848263i | ||||
\(364\) | 0.913829 | + | 0.417332i | 0.0478976 | + | 0.0218741i | ||||
\(365\) | 1.33455 | − | 9.28198i | 0.0698534 | − | 0.485841i | ||||
\(366\) | −7.69238 | − | 18.6371i | −0.402087 | − | 0.974177i | ||||
\(367\) | 7.95265i | 0.415125i | 0.978222 | + | 0.207563i | \(0.0665531\pi\) | ||||
−0.978222 | + | 0.207563i | \(0.933447\pi\) | |||||||
\(368\) | 4.32411 | + | 2.07414i | 0.225410 | + | 0.108122i | ||||
\(369\) | −2.52680 | + | 6.72307i | −0.131540 | + | 0.349989i | ||||
\(370\) | −8.02404 | + | 5.15674i | −0.417150 | + | 0.268086i | ||||
\(371\) | −7.60163 | − | 1.09295i | −0.394657 | − | 0.0567431i | ||||
\(372\) | −8.08882 | − | 5.63121i | −0.419386 | − | 0.291965i | ||||
\(373\) | −9.46379 | − | 32.2307i | −0.490017 | − | 1.66884i | −0.718683 | − | 0.695338i | \(-0.755255\pi\) |
0.228666 | − | 0.973505i | \(-0.426564\pi\) | |||||||
\(374\) | 23.2675 | − | 10.6259i | 1.20314 | − | 0.549454i | ||||
\(375\) | 1.49070 | − | 0.881945i | 0.0769792 | − | 0.0455435i | ||||
\(376\) | 1.43861 | + | 10.0058i | 0.0741908 | + | 0.516008i | ||||
\(377\) | 1.64471 | − | 5.60137i | 0.0847069 | − | 0.288485i | ||||
\(378\) | 1.97178 | + | 5.99948i | 0.101418 | + | 0.308580i | ||||
\(379\) | −17.7025 | + | 27.5457i | −0.909318 | + | 1.41493i | 0.000536717 | 1.00000i | \(0.499829\pi\) | |
−0.909855 | + | 0.414927i | \(0.863807\pi\) | |||||||
\(380\) | 3.17892 | − | 4.94650i | 0.163075 | − | 0.253750i | ||||
\(381\) | −8.46118 | − | 10.5267i | −0.433479 | − | 0.539298i | ||||
\(382\) | −4.48076 | + | 15.2601i | −0.229256 | + | 0.780774i | ||||
\(383\) | −1.04226 | − | 7.24908i | −0.0532570 | − | 0.370411i | −0.998969 | − | 0.0454039i | \(-0.985543\pi\) |
0.945712 | − | 0.325007i | \(-0.105367\pi\) | |||||||
\(384\) | 0.881945 | + | 1.49070i | 0.0450066 | + | 0.0760717i | ||||
\(385\) | 4.99125 | − | 2.27943i | 0.254378 | − | 0.116170i | ||||
\(386\) | −3.98640 | − | 13.5764i | −0.202902 | − | 0.691022i | ||||
\(387\) | −2.34539 | − | 2.35719i | −0.119223 | − | 0.119822i | ||||
\(388\) | 9.33282 | + | 1.34186i | 0.473802 | + | 0.0681225i | ||||
\(389\) | −17.8160 | + | 11.4496i | −0.903307 | + | 0.580520i | −0.907769 | − | 0.419470i | \(-0.862216\pi\) |
0.00446260 | + | 0.999990i | \(0.498580\pi\) | |||||||
\(390\) | 1.40864 | + | 0.255971i | 0.0713293 | + | 0.0129616i | ||||
\(391\) | 20.1956 | + | 18.1773i | 1.02134 | + | 0.919268i | ||||
\(392\) | − | 5.52290i | − | 0.278949i | ||||||
\(393\) | 12.5607 | − | 5.18437i | 0.633603 | − | 0.261517i | ||||
\(394\) | 3.80657 | − | 26.4753i | 0.191772 | − | 1.33381i | ||||
\(395\) | −9.93592 | − | 4.53758i | −0.499930 | − | 0.228311i | ||||
\(396\) | −13.5074 | − | 1.00012i | −0.678773 | − | 0.0502580i | ||||
\(397\) | 4.88973 | + | 10.7070i | 0.245409 | + | 0.537370i | 0.991749 | − | 0.128195i | \(-0.0409182\pi\) |
−0.746340 | + | 0.665564i | \(0.768191\pi\) | |||||||
\(398\) | −1.51584 | − | 1.74938i | −0.0759824 | − | 0.0876884i | ||||
\(399\) | −12.3692 | − | 0.457295i | −0.619233 | − | 0.0228934i | ||||
\(400\) | −0.959493 | − | 0.281733i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | 15.2324 | − | 17.5791i | 0.760670 | − | 0.877860i | −0.234887 | − | 0.972023i | \(-0.575472\pi\) |
0.995557 | + | 0.0941628i | \(0.0300174\pi\) | |||||||
\(402\) | −7.41926 | + | 7.94885i | −0.370039 | + | 0.396452i | ||||
\(403\) | 3.95693 | + | 2.54296i | 0.197109 | + | 0.126674i | ||||
\(404\) | −1.93241 | − | 1.67445i | −0.0961412 | − | 0.0833068i | ||||
\(405\) | 4.82773 | + | 7.59559i | 0.239892 | + | 0.377428i | ||||
\(406\) | 8.49612 | − | 1.22156i | 0.421655 | − | 0.0606249i | ||||
\(407\) | −32.5449 | + | 28.2003i | −1.61319 | + | 1.39784i | ||||
\(408\) | 2.41492 | + | 9.51133i | 0.119557 | + | 0.470881i | ||||
\(409\) | −23.7035 | + | 6.95998i | −1.17206 | + | 0.344149i | −0.809110 | − | 0.587658i | \(-0.800050\pi\) |
−0.362954 | + | 0.931807i | \(0.618232\pi\) | |||||||
\(410\) | −0.994535 | + | 2.17773i | −0.0491166 | + | 0.107550i | ||||
\(411\) | −8.50622 | − | 2.84299i | −0.419581 | − | 0.140234i | ||||
\(412\) | −2.93126 | − | 4.56113i | −0.144413 | − | 0.224711i | ||||
\(413\) | −16.3912 | −0.806556 | ||||||||
\(414\) | −4.73885 | − | 13.5847i | −0.232902 | − | 0.667650i | ||||
\(415\) | 5.16179 | 0.253382 | ||||||||
\(416\) | −0.446892 | − | 0.695378i | −0.0219107 | − | 0.0340937i | ||||
\(417\) | 6.73296 | + | 2.25033i | 0.329715 | + | 0.110199i | ||||
\(418\) | 11.0279 | − | 24.1477i | 0.539391 | − | 1.18110i | ||||
\(419\) | 26.3646 | − | 7.74134i | 1.28799 | − | 0.378189i | 0.435151 | − | 0.900357i | \(-0.356695\pi\) |
0.852842 | + | 0.522168i | \(0.174877\pi\) | |||||||
\(420\) | 0.518039 | + | 2.04033i | 0.0252777 | + | 0.0995578i | ||||
\(421\) | −7.88516 | + | 6.83253i | −0.384299 | + | 0.332997i | −0.825491 | − | 0.564416i | \(-0.809101\pi\) |
0.441191 | + | 0.897413i | \(0.354556\pi\) | |||||||
\(422\) | 0.929152 | − | 0.133592i | 0.0452304 | − | 0.00650315i | ||||
\(423\) | 18.2345 | − | 24.2316i | 0.886592 | − | 1.17818i | ||||
\(424\) | 4.77554 | + | 4.13803i | 0.231921 | + | 0.200960i | ||||
\(425\) | −4.76621 | − | 3.06306i | −0.231195 | − | 0.148580i | ||||
\(426\) | −12.6590 | + | 13.5626i | −0.613330 | + | 0.657109i | ||||
\(427\) | −9.26470 | + | 10.6920i | −0.448350 | + | 0.517424i | ||||
\(428\) | 0.506326 | + | 0.148671i | 0.0244742 | + | 0.00718627i | ||||
\(429\) | 6.45946 | + | 0.238810i | 0.311866 | + | 0.0115299i | ||||
\(430\) | −0.725856 | − | 0.837682i | −0.0350039 | − | 0.0403966i | ||||
\(431\) | −8.67898 | − | 19.0043i | −0.418052 | − | 0.915406i | −0.995116 | − | 0.0987075i | \(-0.968529\pi\) |
0.577065 | − | 0.816699i | \(-0.304198\pi\) | |||||||
\(432\) | 1.30397 | − | 5.02988i | 0.0627373 | − | 0.242000i | ||||
\(433\) | −20.6247 | − | 9.41898i | −0.991159 | − | 0.452647i | −0.147230 | − | 0.989102i | \(-0.547036\pi\) |
−0.843929 | + | 0.536455i | \(0.819763\pi\) | |||||||
\(434\) | −0.984221 | + | 6.84541i | −0.0472441 | + | 0.328590i | ||||
\(435\) | 11.3073 | − | 4.66704i | 0.542144 | − | 0.223768i | ||||
\(436\) | 2.44885i | 0.117279i | ||||||||
\(437\) | 28.1941 | + | 0.531575i | 1.34871 | + | 0.0254287i | ||||
\(438\) | 15.9805 | + | 2.90389i | 0.763577 | + | 0.138753i | ||||
\(439\) | −10.2276 | + | 6.57288i | −0.488137 | + | 0.313707i | −0.761456 | − | 0.648217i | \(-0.775515\pi\) |
0.273319 | + | 0.961924i | \(0.411879\pi\) | |||||||
\(440\) | −4.46884 | − | 0.642523i | −0.213044 | − | 0.0306311i | ||||
\(441\) | −11.7452 | + | 11.6864i | −0.559294 | + | 0.556496i | ||||
\(442\) | −1.31940 | − | 4.49347i | −0.0627576 | − | 0.213733i | ||||
\(443\) | 33.2316 | − | 15.1764i | 1.57888 | − | 0.721050i | 0.583064 | − | 0.812426i | \(-0.301854\pi\) |
0.995816 | + | 0.0913761i | \(0.0291265\pi\) | |||||||
\(444\) | −8.41217 | − | 14.2185i | −0.399224 | − | 0.674782i | ||||
\(445\) | −2.66990 | − | 18.5696i | −0.126565 | − | 0.880282i | ||||
\(446\) | −5.52771 | + | 18.8257i | −0.261745 | + | 0.891421i | ||||
\(447\) | −5.38669 | − | 6.70166i | −0.254782 | − | 0.316977i | ||||
\(448\) | 0.657074 | − | 1.02243i | 0.0310438 | − | 0.0483051i | ||||
\(449\) | −12.8166 | + | 19.9430i | −0.604851 | + | 0.941167i | 0.394897 | + | 0.918725i | \(0.370780\pi\) |
−0.999748 | + | 0.0224414i | \(0.992856\pi\) | |||||||
\(450\) | 1.43114 | + | 2.63663i | 0.0674646 | + | 0.124292i | ||||
\(451\) | −3.04518 | + | 10.3709i | −0.143392 | + | 0.488348i | ||||
\(452\) | 2.04621 | + | 14.2317i | 0.0962456 | + | 0.669403i | ||||
\(453\) | −6.61570 | + | 3.91407i | −0.310833 | + | 0.183899i | ||||
\(454\) | 3.95629 | − | 1.80678i | 0.185678 | − | 0.0847963i | ||||
\(455\) | −0.283032 | − | 0.963920i | −0.0132688 | − | 0.0451892i | ||||
\(456\) | 8.35832 | + | 5.81883i | 0.391414 | + | 0.272492i | ||||
\(457\) | −18.5992 | − | 2.67415i | −0.870032 | − | 0.125092i | −0.307182 | − | 0.951651i | \(-0.599386\pi\) |
−0.562850 | + | 0.826559i | \(0.690295\pi\) | |||||||
\(458\) | −2.98027 | + | 1.91531i | −0.139259 | + | 0.0894963i | ||||
\(459\) | 15.1171 | − | 25.2616i | 0.705608 | − | 1.17911i | ||||
\(460\) | −1.26416 | − | 4.62622i | −0.0589417 | − | 0.215699i | ||||
\(461\) | 31.8379i | 1.48284i | 0.671043 | + | 0.741418i | \(0.265847\pi\) | ||||
−0.671043 | + | 0.741418i | \(0.734153\pi\) | |||||||
\(462\) | 3.62599 | + | 8.78506i | 0.168696 | + | 0.408718i | ||||
\(463\) | −3.75393 | + | 26.1092i | −0.174460 | + | 1.21340i | 0.694860 | + | 0.719145i | \(0.255466\pi\) |
−0.869320 | + | 0.494250i | \(0.835443\pi\) | |||||||
\(464\) | −6.42428 | − | 2.93387i | −0.298239 | − | 0.136201i | ||||
\(465\) | 1.04126 | + | 9.80078i | 0.0482875 | + | 0.454500i | ||||
\(466\) | 6.70418 | + | 14.6801i | 0.310565 | + | 0.680043i | ||||
\(467\) | 8.91992 | + | 10.2941i | 0.412765 | + | 0.476356i | 0.923619 | − | 0.383311i | \(-0.125216\pi\) |
−0.510855 | + | 0.859667i | \(0.670671\pi\) | |||||||
\(468\) | −0.533192 | + | 2.42179i | −0.0246468 | + | 0.111947i | ||||
\(469\) | 7.32065 | + | 2.14954i | 0.338036 | + | 0.0992563i | ||||
\(470\) | 6.61977 | − | 7.63962i | 0.305347 | − | 0.352389i | ||||
\(471\) | −9.77450 | − | 9.12328i | −0.450385 | − | 0.420379i | ||||
\(472\) | 11.3457 | + | 7.29144i | 0.522228 | + | 0.335616i | ||||
\(473\) | −3.78197 | − | 3.27709i | −0.173895 | − | 0.150681i | ||||
\(474\) | 8.48977 | − | 16.9074i | 0.389948 | − | 0.776583i | ||||
\(475\) | −5.82007 | + | 0.836800i | −0.267043 | + | 0.0383950i | ||||
\(476\) | 5.20390 | − | 4.50921i | 0.238521 | − | 0.206679i | ||||
\(477\) | −1.30495 | − | 18.9119i | −0.0597493 | − | 0.865915i | ||||
\(478\) | −10.8803 | + | 3.19474i | −0.497653 | + | 0.146124i | ||||
\(479\) | −0.334010 | + | 0.731380i | −0.0152613 | + | 0.0334176i | −0.917109 | − | 0.398636i | \(-0.869484\pi\) |
0.901848 | + | 0.432054i | \(0.142211\pi\) | |||||||
\(480\) | 0.549041 | − | 1.64273i | 0.0250602 | − | 0.0749799i | ||||
\(481\) | 4.26254 | + | 6.63265i | 0.194355 | + | 0.302423i | ||||
\(482\) | 7.84718 | 0.357429 | ||||||||
\(483\) | −7.02644 | + | 7.24908i | −0.319714 | + | 0.329844i | ||||
\(484\) | −9.38341 | −0.426518 | ||||||||
\(485\) | −5.09759 | − | 7.93200i | −0.231470 | − | 0.360174i | ||||
\(486\) | −13.4559 | + | 7.87012i | −0.610372 | + | 0.356996i | ||||
\(487\) | 6.33462 | − | 13.8709i | 0.287049 | − | 0.628550i | −0.710092 | − | 0.704109i | \(-0.751347\pi\) |
0.997141 | + | 0.0755587i | \(0.0240740\pi\) | |||||||
\(488\) | 11.1691 | − | 3.27955i | 0.505602 | − | 0.148458i | ||||
\(489\) | 18.2275 | − | 4.62796i | 0.824276 | − | 0.209283i | ||||
\(490\) | −4.17393 | + | 3.61673i | −0.188559 | + | 0.163387i | ||||
\(491\) | 30.6673 | − | 4.40929i | 1.38399 | − | 0.198988i | 0.590240 | − | 0.807228i | \(-0.299033\pi\) |
0.793754 | + | 0.608239i | \(0.208124\pi\) | |||||||
\(492\) | −3.70572 | − | 1.86076i | −0.167067 | − | 0.0838897i | ||||
\(493\) | −30.2401 | − | 26.2032i | −1.36194 | − | 1.18013i | ||||
\(494\) | −4.08877 | − | 2.62769i | −0.183962 | − | 0.118225i | ||||
\(495\) | 8.08964 | + | 10.8632i | 0.363602 | + | 0.488263i | ||||
\(496\) | 3.72637 | − | 4.30046i | 0.167319 | − | 0.193097i | ||||
\(497\) | 12.4907 | + | 3.66761i | 0.560286 | + | 0.164515i | ||||
\(498\) | −0.330309 | + | 8.93438i | −0.0148015 | + | 0.400359i | ||||
\(499\) | −10.7267 | − | 12.3793i | −0.480194 | − | 0.554173i | 0.463025 | − | 0.886345i | \(-0.346764\pi\) |
−0.943219 | + | 0.332172i | \(0.892219\pi\) | |||||||
\(500\) | 0.415415 | + | 0.909632i | 0.0185779 | + | 0.0406800i | ||||
\(501\) | 15.2237 | − | 1.61741i | 0.680144 | − | 0.0722606i | ||||
\(502\) | −24.3986 | − | 11.1425i | −1.08896 | − | 0.497312i | ||||
\(503\) | −0.634724 | + | 4.41460i | −0.0283009 | + | 0.196837i | −0.999067 | − | 0.0431909i | \(-0.986248\pi\) |
0.970766 | + | 0.240028i | \(0.0771567\pi\) | |||||||
\(504\) | −3.56469 | + | 0.766094i | −0.158784 | + | 0.0341245i | ||||
\(505\) | 2.55695i | 0.113783i | ||||||||
\(506\) | −8.62178 | − | 19.8616i | −0.383285 | − | 0.882956i | ||||
\(507\) | −3.81410 | + | 20.9895i | −0.169390 | + | 0.932176i | ||||
\(508\) | 6.55966 | − | 4.21564i | 0.291038 | − | 0.187039i | ||||
\(509\) | −8.96788 | − | 1.28939i | −0.397494 | − | 0.0571511i | −0.0593308 | − | 0.998238i | \(-0.518897\pi\) |
−0.338164 | + | 0.941087i | \(0.609806\pi\) | |||||||
\(510\) | 5.60674 | − | 8.05367i | 0.248271 | − | 0.356623i | ||||
\(511\) | −3.21089 | − | 10.9353i | −0.142042 | − | 0.483749i | ||||
\(512\) | −0.909632 | + | 0.415415i | −0.0402004 | + | 0.0183589i | ||||
\(513\) | −5.31164 | − | 30.0877i | −0.234515 | − | 1.32840i | ||||
\(514\) | −2.74363 | − | 19.0824i | −0.121016 | − | 0.841686i | ||||
\(515\) | −1.52750 | + | 5.20220i | −0.0673099 | + | 0.229236i | ||||
\(516\) | 1.49637 | − | 1.20276i | 0.0658738 | − | 0.0529484i | ||||
\(517\) | 24.6741 | − | 38.3936i | 1.08516 | − | 1.68855i | ||||
\(518\) | −6.26730 | + | 9.75210i | −0.275369 | + | 0.428483i | ||||
\(519\) | −13.2738 | + | 10.6693i | −0.582654 | + | 0.468328i | ||||
\(520\) | −0.232879 | + | 0.793114i | −0.0102124 | + | 0.0347804i | ||||
\(521\) | 0.167605 | + | 1.16572i | 0.00734292 | + | 0.0510711i | 0.993163 | − | 0.116732i | \(-0.0372418\pi\) |
−0.985821 | + | 0.167803i | \(0.946333\pi\) | |||||||
\(522\) | 7.35447 | + | 19.8701i | 0.321896 | + | 0.869692i | ||||
\(523\) | −11.9592 | + | 5.46159i | −0.522940 | + | 0.238819i | −0.659353 | − | 0.751833i | \(-0.729170\pi\) |
0.136413 | + | 0.990652i | \(0.456443\pi\) | |||||||
\(524\) | 2.21029 | + | 7.52756i | 0.0965570 | + | 0.328843i | ||||
\(525\) | 1.20273 | − | 1.72764i | 0.0524916 | − | 0.0754003i | ||||
\(526\) | −9.68200 | − | 1.39206i | −0.422155 | − | 0.0606968i | ||||
\(527\) | 27.1213 | − | 17.4298i | 1.18142 | − | 0.759254i | ||||
\(528\) | 1.39809 | − | 7.69387i | 0.0608440 | − | 0.334833i | ||||
\(529\) | 15.7063 | − | 16.8021i | 0.682883 | − | 0.730528i | ||||
\(530\) | − | 6.31895i | − | 0.274477i | ||||||
\(531\) | −8.50122 | − | 39.5568i | −0.368922 | − | 1.71662i | ||||
\(532\) | 1.01701 | − | 7.07348i | 0.0440931 | − | 0.306674i | ||||
\(533\) | 1.80010 | + | 0.822079i | 0.0779711 | + | 0.0356082i | ||||
\(534\) | 32.3123 | − | 3.43296i | 1.39829 | − | 0.148559i | ||||
\(535\) | −0.219215 | − | 0.480014i | −0.00947749 | − | 0.0207528i | ||||
\(536\) | −4.11104 | − | 4.74439i | −0.177570 | − | 0.204926i | ||||
\(537\) | −1.68095 | + | 45.4673i | −0.0725384 | + | 1.96206i | ||||
\(538\) | −6.60202 | − | 1.93853i | −0.284633 | − | 0.0835759i | ||||
\(539\) | −16.3288 | + | 18.8444i | −0.703331 | + | 0.811688i | ||||
\(540\) | −4.65525 | + | 2.30839i | −0.200330 | + | 0.0993374i | ||||
\(541\) | −6.96297 | − | 4.47483i | −0.299361 | − | 0.192388i | 0.382334 | − | 0.924024i | \(-0.375121\pi\) |
−0.681695 | + | 0.731637i | \(0.738757\pi\) | |||||||
\(542\) | −14.2008 | − | 12.3051i | −0.609979 | − | 0.528550i | ||||
\(543\) | 27.9982 | + | 14.0588i | 1.20152 | + | 0.603322i | ||||
\(544\) | −5.60794 | + | 0.806300i | −0.240438 | + | 0.0345698i | ||||
\(545\) | 1.85072 | − | 1.60366i | 0.0792761 | − | 0.0686931i | ||||
\(546\) | 1.68653 | − | 0.428209i | 0.0721768 | − | 0.0183257i | ||||
\(547\) | 20.4811 | − | 6.01378i | 0.875707 | − | 0.257131i | 0.187166 | − | 0.982328i | \(-0.440070\pi\) |
0.688541 | + | 0.725198i | \(0.258252\pi\) | |||||||
\(548\) | 2.15106 | − | 4.71017i | 0.0918888 | − | 0.201208i | ||||
\(549\) | −30.6082 | − | 16.8131i | −1.30633 | − | 0.717566i | ||||
\(550\) | 2.44088 | + | 3.79809i | 0.104080 | + | 0.161951i | ||||
\(551\) | −41.5269 | −1.76911 | ||||||||
\(552\) | 8.08827 | − | 1.89205i | 0.344260 | − | 0.0805312i | ||||
\(553\) | −13.2754 | −0.564527 | ||||||||
\(554\) | 4.30057 | + | 6.69182i | 0.182714 | + | 0.284308i | ||||
\(555\) | −5.23686 | + | 15.6687i | −0.222292 | + | 0.665097i | ||||
\(556\) | −1.70264 | + | 3.72826i | −0.0722080 | + | 0.158113i | ||||
\(557\) | 34.9105 | − | 10.2507i | 1.47921 | − | 0.434334i | 0.560127 | − | 0.828407i | \(-0.310752\pi\) |
0.919079 | + | 0.394072i | \(0.128934\pi\) | |||||||
\(558\) | −17.0305 | + | 1.17513i | −0.720958 | + | 0.0497471i | ||||
\(559\) | −0.692425 | + | 0.599990i | −0.0292865 | + | 0.0253769i | ||||
\(560\) | −1.20299 | + | 0.172964i | −0.0508356 | + | 0.00730906i | ||||
\(561\) | 19.8810 | − | 39.5931i | 0.839376 | − | 1.67162i | ||||
\(562\) | 20.5872 | + | 17.8389i | 0.868419 | + | 0.752489i | ||||
\(563\) | −7.32923 | − | 4.71021i | −0.308890 | − | 0.198512i | 0.377006 | − | 0.926211i | \(-0.376953\pi\) |
−0.685897 | + | 0.727699i | \(0.740590\pi\) | |||||||
\(564\) | 12.7996 | + | 11.9468i | 0.538959 | + | 0.503052i | ||||
\(565\) | 9.41562 | − | 10.8662i | 0.396118 | − | 0.457145i | ||||
\(566\) | −6.11438 | − | 1.79534i | −0.257007 | − | 0.0754640i | ||||
\(567\) | 9.17206 | + | 5.95974i | 0.385190 | + | 0.250285i | ||||
\(568\) | −7.01439 | − | 8.09503i | −0.294317 | − | 0.339660i | ||||
\(569\) | 11.2547 | + | 24.6443i | 0.471821 | + | 1.03314i | 0.984632 | + | 0.174642i | \(0.0558768\pi\) |
−0.512811 | + | 0.858501i | \(0.671396\pi\) | |||||||
\(570\) | −1.07596 | − | 10.1273i | −0.0450669 | − | 0.424187i | ||||
\(571\) | 18.0331 | + | 8.23544i | 0.754661 | + | 0.344642i | 0.755319 | − | 0.655357i | \(-0.227482\pi\) |
−0.000657473 | 1.00000i | \(0.500209\pi\) | ||||||||
\(572\) | −0.531107 | + | 3.69393i | −0.0222067 | + | 0.154451i | ||||
\(573\) | 10.5099 | + | 25.4634i | 0.439057 | + | 1.06375i | ||||
\(574\) | 2.90966i | 0.121447i | ||||||||
\(575\) | −2.66842 | + | 3.98492i | −0.111281 | + | 0.166183i | ||||
\(576\) | 2.80821 | + | 1.05544i | 0.117009 | + | 0.0439766i | ||||
\(577\) | −8.40219 | + | 5.39976i | −0.349788 | + | 0.224795i | −0.703722 | − | 0.710475i | \(-0.748480\pi\) |
0.353934 | + | 0.935270i | \(0.384844\pi\) | |||||||
\(578\) | −14.9454 | − | 2.14882i | −0.621646 | − | 0.0893792i | ||||
\(579\) | −20.1137 | − | 14.0026i | −0.835896 | − | 0.581928i | ||||
\(580\) | 1.98974 | + | 6.77642i | 0.0826193 | + | 0.281375i | ||||
\(581\) | 5.70652 | − | 2.60608i | 0.236746 | − | 0.108118i | ||||
\(582\) | 14.0555 | − | 8.31568i | 0.582617 | − | 0.344696i | ||||
\(583\) | −4.06007 | − | 28.2384i | −0.168151 | − | 1.16951i | ||||
\(584\) | −2.64193 | + | 8.99758i | −0.109324 | + | 0.372322i | ||||
\(585\) | 2.17943 | − | 1.18298i | 0.0901085 | − | 0.0489100i | ||||
\(586\) | 3.81477 | − | 5.93589i | 0.157587 | − | 0.245209i | ||||
\(587\) | 8.78766 | − | 13.6739i | 0.362706 | − | 0.564381i | −0.611160 | − | 0.791507i | \(-0.709297\pi\) |
0.973865 | + | 0.227126i | \(0.0729331\pi\) | |||||||
\(588\) | −5.99299 | − | 7.45596i | −0.247147 | − | 0.307479i | ||||
\(589\) | 9.42640 | − | 32.1034i | 0.388408 | − | 1.32280i | ||||
\(590\) | −1.91935 | − | 13.3494i | −0.0790185 | − | 0.549586i | ||||
\(591\) | −23.5899 | − | 39.8724i | −0.970357 | − | 1.64013i | ||||
\(592\) | 8.67625 | − | 3.96231i | 0.356592 | − | 0.162850i | ||||
\(593\) | 9.85283 | + | 33.5556i | 0.404607 | + | 1.37797i | 0.870083 | + | 0.492905i | \(0.164065\pi\) |
−0.465476 | + | 0.885060i | \(0.654117\pi\) | |||||||
\(594\) | −19.3204 | + | 13.3070i | −0.792725 | + | 0.545991i | ||||
\(595\) | −6.81566 | − | 0.979945i | −0.279415 | − | 0.0401738i | ||||
\(596\) | 4.17612 | − | 2.68383i | 0.171060 | − | 0.109934i | ||||
\(597\) | −3.94468 | − | 0.716807i | −0.161445 | − | 0.0293370i | ||||
\(598\) | −3.82402 | + | 1.04495i | −0.156376 | + | 0.0427312i | ||||
\(599\) | − | 19.8338i | − | 0.810387i | −0.914231 | − | 0.405194i | \(-0.867204\pi\) | ||
0.914231 | − | 0.405194i | \(-0.132796\pi\) | |||||||
\(600\) | −1.60104 | + | 0.660820i | −0.0653620 | + | 0.0269779i | ||||
\(601\) | 3.02790 | − | 21.0595i | 0.123510 | − | 0.859034i | −0.830019 | − | 0.557735i | \(-0.811671\pi\) |
0.953530 | − | 0.301299i | \(-0.0974203\pi\) | |||||||
\(602\) | −1.22538 | − | 0.559614i | −0.0499429 | − | 0.0228082i | ||||
\(603\) | −1.39065 | + | 18.7818i | −0.0566315 | + | 0.764853i | ||||
\(604\) | −1.84361 | − | 4.03694i | −0.0750154 | − | 0.164261i | ||||
\(605\) | 6.14482 | + | 7.09150i | 0.249823 | + | 0.288311i | ||||
\(606\) | −4.42574 | − | 0.163622i | −0.179784 | − | 0.00664670i | ||||
\(607\) | 27.1785 | + | 7.98032i | 1.10314 | + | 0.323911i | 0.782099 | − | 0.623154i | \(-0.214149\pi\) |
0.321041 | + | 0.947065i | \(0.395967\pi\) | |||||||
\(608\) | −3.85053 | + | 4.44375i | −0.156160 | + | 0.180218i | ||||
\(609\) | 10.1443 | − | 10.8684i | 0.411068 | − | 0.440409i | ||||
\(610\) | −9.79274 | − | 6.29341i | −0.396496 | − | 0.254813i | ||||
\(611\) | −6.31489 | − | 5.47188i | −0.255473 | − | 0.221369i | ||||
\(612\) | 13.5811 | + | 10.2199i | 0.548982 | + | 0.413115i | ||||
\(613\) | −10.1909 | + | 1.46523i | −0.411605 | + | 0.0591799i | −0.345007 | − | 0.938600i | \(-0.612124\pi\) |
−0.0665980 | + | 0.997780i | \(0.521214\pi\) | |||||||
\(614\) | −15.6050 | + | 13.5218i | −0.629766 | + | 0.545695i | ||||
\(615\) | 1.02046 | + | 4.01914i | 0.0411488 | + | 0.162067i | ||||
\(616\) | −5.26484 | + | 1.54590i | −0.212127 | + | 0.0622860i | ||||
\(617\) | −11.0026 | + | 24.0924i | −0.442948 | + | 0.969922i | 0.548099 | + | 0.836413i | \(0.315352\pi\) |
−0.991048 | + | 0.133509i | \(0.957376\pi\) | |||||||
\(618\) | −8.90658 | − | 2.97680i | −0.358275 | − | 0.119745i | ||||
\(619\) | 13.6687 | + | 21.2689i | 0.549390 | + | 0.854868i | 0.999269 | − | 0.0382218i | \(-0.0121693\pi\) |
−0.449879 | + | 0.893089i | \(0.648533\pi\) | |||||||
\(620\) | −5.69033 | −0.228529 | ||||||||
\(621\) | −21.1384 | − | 13.1972i | −0.848256 | − | 0.529586i | ||||
\(622\) | −10.2657 | −0.411615 | ||||||||
\(623\) | −12.3270 | − | 19.1813i | −0.493873 | − | 0.768481i | ||||
\(624\) | −1.35787 | − | 0.453836i | −0.0543585 | − | 0.0181680i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 16.3360 | − | 4.79668i | 0.652918 | − | 0.191714i | ||||
\(627\) | −11.3153 | − | 44.5661i | −0.451890 | − | 1.77980i | ||||
\(628\) | 5.83406 | − | 5.05524i | 0.232804 | − | 0.201726i | ||||
\(629\) | 53.4896 | − | 7.69064i | 2.13277 | − | 0.306646i | ||||
\(630\) | 2.91335 | + | 2.19233i | 0.116071 | + | 0.0873444i | ||||
\(631\) | −15.2886 | − | 13.2477i | −0.608631 | − | 0.527382i | 0.295109 | − | 0.955464i | \(-0.404644\pi\) |
−0.903740 | + | 0.428082i | \(0.859190\pi\) | |||||||
\(632\) | 9.18902 | + | 5.90543i | 0.365520 | + | 0.234905i | ||||
\(633\) | 1.10940 | − | 1.18859i | 0.0440947 | − | 0.0472421i | ||||
\(634\) | 2.67450 | − | 3.08654i | 0.106218 | − | 0.122582i | ||||
\(635\) | −7.48163 | − | 2.19681i | −0.296899 | − | 0.0871775i | ||||
\(636\) | 10.9373 | + | 0.404357i | 0.433691 | + | 0.0160338i | ||||
\(637\) | 2.98958 | + | 3.45016i | 0.118451 | + | 0.136700i | ||||
\(638\) | 13.2458 | + | 29.0043i | 0.524407 | + | 1.14829i | ||||
\(639\) | −2.37277 | + | 32.0461i | −0.0938652 | + | 1.26772i | ||||
\(640\) | 0.909632 | + | 0.415415i | 0.0359564 | + | 0.0164207i | ||||
\(641\) | −4.53648 | + | 31.5519i | −0.179180 | + | 1.24622i | 0.679486 | + | 0.733689i | \(0.262203\pi\) |
−0.858666 | + | 0.512536i | \(0.828706\pi\) | |||||||
\(642\) | 0.844869 | − | 0.348716i | 0.0333443 | − | 0.0137627i | ||||
\(643\) | 2.72511i | 0.107468i | 0.998555 | + | 0.0537339i | \(0.0171123\pi\) | ||||
−0.998555 | + | 0.0537339i | \(0.982888\pi\) | |||||||
\(644\) | −3.73325 | − | 4.47618i | −0.147111 | − | 0.176386i | ||||
\(645\) | −1.88889 | − | 0.343240i | −0.0743751 | − | 0.0135151i | ||||
\(646\) | −28.0249 | + | 18.0105i | −1.10263 | + | 0.708615i | ||||
\(647\) | 3.54478 | + | 0.509662i | 0.139360 | + | 0.0200369i | 0.211642 | − | 0.977347i | \(-0.432119\pi\) |
−0.0722820 | + | 0.997384i | \(0.523028\pi\) | |||||||
\(648\) | −3.69763 | − | 8.20534i | −0.145257 | − | 0.322336i | ||||
\(649\) | −17.1546 | − | 58.4231i | −0.673376 | − | 2.29331i | ||||
\(650\) | 0.751899 | − | 0.343381i | 0.0294919 | − | 0.0134685i | ||||
\(651\) | 6.09936 | + | 10.3094i | 0.239053 | + | 0.404055i | ||||
\(652\) | 1.54519 | + | 10.7470i | 0.0605144 | + | 0.420887i | ||||
\(653\) | 5.31800 | − | 18.1114i | 0.208109 | − | 0.708755i | −0.787597 | − | 0.616190i | \(-0.788675\pi\) |
0.995707 | − | 0.0925650i | \(-0.0295066\pi\) | |||||||
\(654\) | 2.65729 | + | 3.30597i | 0.103908 | + | 0.129274i | ||||
\(655\) | 4.24152 | − | 6.59993i | 0.165730 | − | 0.257881i | ||||
\(656\) | 1.29433 | − | 2.01402i | 0.0505353 | − | 0.0786344i | ||||
\(657\) | 24.7249 | − | 13.4204i | 0.964608 | − | 0.523580i | ||||
\(658\) | 3.46127 | − | 11.7880i | 0.134934 | − | 0.459545i | ||||
\(659\) | −1.29883 | − | 9.03358i | −0.0505954 | − | 0.351899i | −0.999355 | − | 0.0359009i | \(-0.988570\pi\) |
0.948760 | − | 0.315998i | \(-0.102339\pi\) | |||||||
\(660\) | −6.73019 | + | 3.98181i | −0.261972 | + | 0.154992i | ||||
\(661\) | 12.9016 | − | 5.89198i | 0.501815 | − | 0.229171i | −0.148392 | − | 0.988929i | \(-0.547410\pi\) |
0.650207 | + | 0.759757i | \(0.274682\pi\) | |||||||
\(662\) | 4.72230 | + | 16.0827i | 0.183537 | + | 0.625071i | ||||
\(663\) | −6.65714 | − | 4.63452i | −0.258542 | − | 0.179990i | ||||
\(664\) | −5.10925 | − | 0.734600i | −0.198277 | − | 0.0285080i | ||||
\(665\) | −6.01179 | + | 3.86354i | −0.233127 | + | 0.149822i | ||||
\(666\) | −26.7853 | − | 10.0670i | −1.03791 | − | 0.390087i | ||||
\(667\) | −22.6591 | + | 25.1750i | −0.877364 | + | 0.974780i | ||||
\(668\) | 8.83887i | 0.341986i | ||||||||
\(669\) | 12.9656 | + | 31.4130i | 0.501278 | + | 1.21450i | ||||
\(670\) | −0.893414 | + | 6.21383i | −0.0345156 | + | 0.240061i | ||||
\(671\) | −47.8059 | − | 21.8322i | −1.84553 | − | 0.842823i | ||||
\(672\) | −0.222397 | − | 2.09329i | −0.00857915 | − | 0.0807502i | ||||
\(673\) | −6.95234 | − | 15.2235i | −0.267993 | − | 0.586823i | 0.727015 | − | 0.686622i | \(-0.240907\pi\) |
−0.995008 | + | 0.0997991i | \(0.968180\pi\) | |||||||
\(674\) | 14.5963 | + | 16.8451i | 0.562230 | + | 0.648848i | ||||
\(675\) | 4.79311 | + | 2.00652i | 0.184487 | + | 0.0772312i | ||||
\(676\) | −11.8178 | − | 3.47003i | −0.454532 | − | 0.133463i | ||||
\(677\) | −13.9117 | + | 16.0549i | −0.534669 | + | 0.617040i | −0.957242 | − | 0.289288i | \(-0.906581\pi\) |
0.422573 | + | 0.906329i | \(0.361127\pi\) | |||||||
\(678\) | 18.2055 | + | 16.9925i | 0.699176 | + | 0.652595i | ||||
\(679\) | −9.64024 | − | 6.19541i | −0.369959 | − | 0.237758i | ||||
\(680\) | 4.28178 | + | 3.71018i | 0.164199 | + | 0.142279i | ||||
\(681\) | 3.38046 | − | 6.73220i | 0.129540 | − | 0.257978i | ||||
\(682\) | −25.4292 | + | 3.65617i | −0.973734 | + | 0.140002i | ||||
\(683\) | −2.18782 | + | 1.89576i | −0.0837146 | + | 0.0725391i | −0.695713 | − | 0.718320i | \(-0.744911\pi\) |
0.611998 | + | 0.790859i | \(0.290366\pi\) | |||||||
\(684\) | 17.5979 | − | 1.21428i | 0.672873 | − | 0.0464292i | ||||
\(685\) | −4.96836 | + | 1.45884i | −0.189831 | + | 0.0557394i | ||||
\(686\) | −6.32255 | + | 13.8445i | −0.241396 | + | 0.528584i | ||||
\(687\) | −1.94506 | + | 5.81962i | −0.0742088 | + | 0.222032i | ||||
\(688\) | 0.599253 | + | 0.932456i | 0.0228463 | + | 0.0355495i | ||||
\(689\) | −5.22322 | −0.198989 | ||||||||
\(690\) | −6.72661 | − | 4.87367i | −0.256078 | − | 0.185538i | ||||
\(691\) | −5.21430 | −0.198361 | −0.0991807 | − | 0.995069i | \(-0.531622\pi\) | ||||
−0.0991807 | + | 0.995069i | \(0.531622\pi\) | |||||||
\(692\) | −5.31578 | − | 8.27151i | −0.202076 | − | 0.314436i | ||||
\(693\) | 14.4279 | + | 7.92528i | 0.548072 | + | 0.301056i | ||||
\(694\) | −8.80638 | + | 19.2833i | −0.334286 | + | 0.731983i | ||||
\(695\) | 3.93262 | − | 1.15472i | 0.149173 | − | 0.0438011i | ||||
\(696\) | −11.8564 | + | 3.01034i | −0.449416 | + | 0.114107i | ||||
\(697\) | 10.2509 | − | 8.88245i | 0.388280 | − | 0.336447i | ||||
\(698\) | −21.1922 | + | 3.04698i | −0.802138 | + | 0.115330i | ||||
\(699\) | 24.9803 | + | 12.5434i | 0.944842 | + | 0.474437i | ||||
\(700\) | 0.918508 | + | 0.795892i | 0.0347163 | + | 0.0300819i | ||||
\(701\) | −14.7430 | − | 9.47478i | −0.556837 | − | 0.357857i | 0.231755 | − | 0.972774i | \(-0.425553\pi\) |
−0.788592 | + | 0.614917i | \(0.789190\pi\) | |||||||
\(702\) | 1.90811 | + | 3.84801i | 0.0720170 | + | 0.145234i | ||||
\(703\) | 36.7271 | − | 42.3853i | 1.38519 | − | 1.59859i | ||||
\(704\) | 4.33192 | + | 1.27197i | 0.163265 | + | 0.0479390i | ||||
\(705\) | 0.646865 | − | 17.4968i | 0.0243624 | − | 0.658966i | ||||
\(706\) | −4.84525 | − | 5.59171i | −0.182353 | − | 0.210447i | ||||
\(707\) | 1.29095 | + | 2.82679i | 0.0485512 | + | 0.106312i | ||||
\(708\) | 23.2289 | − | 2.46790i | 0.872994 | − | 0.0927495i | ||||
\(709\) | 11.0655 | + | 5.05344i | 0.415573 | + | 0.189786i | 0.612218 | − | 0.790689i | \(-0.290277\pi\) |
−0.196645 | + | 0.980475i | \(0.563005\pi\) | |||||||
\(710\) | −1.52437 | + | 10.6022i | −0.0572087 | + | 0.397895i | ||||
\(711\) | −6.88524 | − | 32.0375i | −0.258217 | − | 1.20150i | ||||
\(712\) | 18.7605i | 0.703081i | ||||||||
\(713\) | −14.3186 | − | 23.2317i | −0.536237 | − | 0.870035i | ||||
\(714\) | 2.13230 | − | 11.7343i | 0.0797992 | − | 0.439146i | ||||
\(715\) | 3.13949 | − | 2.01763i | 0.117410 | − | 0.0754550i | ||||
\(716\) | −26.0011 | − | 3.73840i | −0.971707 | − | 0.139710i | ||||
\(717\) | −11.2218 | + | 16.1193i | −0.419087 | + | 0.601987i | ||||
\(718\) | 8.11392 | + | 27.6335i | 0.302809 | + | 1.03127i | ||||
\(719\) | −10.5859 | + | 4.83442i | −0.394788 | + | 0.180294i | −0.602910 | − | 0.797809i | \(-0.705992\pi\) |
0.208122 | + | 0.978103i | \(0.433265\pi\) | |||||||
\(720\) | −1.04134 | − | 2.81347i | −0.0388085 | − | 0.104852i | ||||
\(721\) | 0.937779 | + | 6.52240i | 0.0349247 | + | 0.242907i | ||||
\(722\) | −4.38755 | + | 14.9426i | −0.163288 | + | 0.556107i | ||||
\(723\) | 10.5938 | − | 8.51510i | 0.393986 | − | 0.316680i | ||||
\(724\) | −9.77923 | + | 15.2168i | −0.363442 | + | 0.565527i | ||||
\(725\) | 3.81828 | − | 5.94135i | 0.141807 | − | 0.220656i | ||||
\(726\) | −12.6677 | + | 10.1821i | −0.470142 | + | 0.377893i | ||||
\(727\) | 9.91381 | − | 33.7633i | 0.367683 | − | 1.25221i | −0.543219 | − | 0.839591i | \(-0.682795\pi\) |
0.910902 | − | 0.412622i | \(-0.135387\pi\) | |||||||
\(728\) | 0.142971 | + | 0.994388i | 0.00529887 | + | 0.0368545i | ||||
\(729\) | −9.62558 | + | 25.2259i | −0.356503 | + | 0.934294i | ||||
\(730\) | 8.53001 | − | 3.89553i | 0.315710 | − | 0.144180i | ||||
\(731\) | 1.76923 | + | 6.02545i | 0.0654374 | + | 0.222859i | ||||
\(732\) | 11.5197 | − | 16.5472i | 0.425781 | − | 0.611603i | ||||
\(733\) | 6.72325 | + | 0.966658i | 0.248329 | + | 0.0357043i | 0.265355 | − | 0.964151i | \(-0.414511\pi\) |
−0.0170262 | + | 0.999855i | \(0.505420\pi\) | |||||||
\(734\) | −6.69020 | + | 4.29953i | −0.246940 | + | 0.158698i | ||||
\(735\) | −1.71027 | + | 9.41181i | −0.0630841 | + | 0.347160i | ||||
\(736\) | 0.592912 | + | 4.75904i | 0.0218550 | + | 0.175421i | ||||
\(737\) | 28.3427i | 1.04402i | ||||||||
\(738\) | −7.02189 | + | 1.50909i | −0.258479 | + | 0.0555503i | ||||
\(739\) | 2.45064 | − | 17.0446i | 0.0901483 | − | 0.626995i | −0.893790 | − | 0.448486i | \(-0.851963\pi\) |
0.983938 | − | 0.178509i | \(-0.0571275\pi\) | |||||||
\(740\) | −8.67625 | − | 3.96231i | −0.318945 | − | 0.145657i | ||||
\(741\) | −8.37122 | + | 0.889383i | −0.307524 | + | 0.0326723i | ||||
\(742\) | −3.19030 | − | 6.98579i | −0.117120 | − | 0.256456i | ||||
\(743\) | 13.5864 | + | 15.6795i | 0.498436 | + | 0.575226i | 0.948100 | − | 0.317972i | \(-0.103002\pi\) |
−0.449664 | + | 0.893198i | \(0.648456\pi\) | |||||||
\(744\) | 0.364131 | − | 9.84921i | 0.0133497 | − | 0.361090i | ||||
\(745\) | −4.76308 | − | 1.39857i | −0.174506 | − | 0.0512395i | ||||
\(746\) | 21.9977 | − | 25.3867i | 0.805393 | − | 0.929473i | ||||
\(747\) | 9.24893 | + | 12.4199i | 0.338400 | + | 0.454421i | ||||
\(748\) | 21.5185 | + | 13.8291i | 0.786793 | + | 0.505641i | ||||
\(749\) | −0.484698 | − | 0.419993i | −0.0177105 | − | 0.0153462i | ||||
\(750\) | 1.54787 | + | 0.777237i | 0.0565202 | + | 0.0283807i | ||||
\(751\) | −52.7729 | + | 7.58760i | −1.92571 | + | 0.276875i | −0.995848 | − | 0.0910312i | \(-0.970984\pi\) |
−0.929863 | + | 0.367907i | \(0.880075\pi\) | |||||||
\(752\) | −7.63962 | + | 6.61977i | −0.278588 | + | 0.241398i | ||||
\(753\) | −45.0292 | + | 11.4329i | −1.64095 | + | 0.416638i | ||||
\(754\) | 5.60137 | − | 1.64471i | 0.203990 | − | 0.0598968i | ||||
\(755\) | −1.84361 | + | 4.03694i | −0.0670959 | + | 0.146919i | ||||
\(756\) | −3.98106 | + | 4.90234i | −0.144790 | + | 0.178296i | ||||
\(757\) | 2.67101 | + | 4.15617i | 0.0970794 | + | 0.151059i | 0.886396 | − | 0.462928i | \(-0.153201\pi\) |
−0.789316 | + | 0.613987i | \(0.789565\pi\) | |||||||
\(758\) | −32.7436 | −1.18930 | ||||||||
\(759\) | −33.1916 | − | 17.4577i | −1.20478 | − | 0.633674i | ||||
\(760\) | 5.87992 | 0.213287 | ||||||||
\(761\) | −20.1417 | − | 31.3410i | −0.730135 | − | 1.13611i | −0.985567 | − | 0.169285i | \(-0.945854\pi\) |
0.255432 | − | 0.966827i | \(-0.417782\pi\) | |||||||
\(762\) | 4.28114 | − | 12.8091i | 0.155089 | − | 0.464026i | ||||
\(763\) | 1.23637 | − | 2.70728i | 0.0447598 | − | 0.0980102i | ||||
\(764\) | −15.2601 | + | 4.48076i | −0.552090 | + | 0.162108i | ||||
\(765\) | −1.17002 | − | 16.9565i | −0.0423022 | − | 0.613063i | ||||
\(766\) | 5.53482 | − | 4.79595i | 0.199981 | − | 0.173285i | ||||
\(767\) | −11.0346 | + | 1.58653i | −0.398435 | + | 0.0572863i | ||||
\(768\) | −0.777237 | + | 1.54787i | −0.0280461 | + | 0.0558540i | ||||
\(769\) | 23.1579 | + | 20.0664i | 0.835095 | + | 0.723614i | 0.963385 | − | 0.268123i | \(-0.0864034\pi\) |
−0.128290 | + | 0.991737i | \(0.540949\pi\) | |||||||
\(770\) | 4.61605 | + | 2.96655i | 0.166351 | + | 0.106907i | ||||
\(771\) | −24.4105 | − | 22.7842i | −0.879122 | − | 0.820552i | ||||
\(772\) | 9.26601 | − | 10.6935i | 0.333491 | − | 0.384869i | ||||
\(773\) | −3.16327 | − | 0.928819i | −0.113775 | − | 0.0334073i | 0.224350 | − | 0.974509i | \(-0.427974\pi\) |
−0.338124 | + | 0.941101i | \(0.609792\pi\) | |||||||
\(774\) | 0.714976 | − | 3.24746i | 0.0256993 | − | 0.116728i | ||||
\(775\) | 3.72637 | + | 4.30046i | 0.133855 | + | 0.154477i | ||||
\(776\) | 3.91686 | + | 8.57673i | 0.140607 | + | 0.307887i | ||||
\(777\) | 2.12126 | + | 19.9662i | 0.0761000 | + | 0.716282i | ||||
\(778\) | −19.2641 | − | 8.79762i | −0.690652 | − | 0.315410i | ||||
\(779\) | 2.00336 | − | 13.9337i | 0.0717779 | − | 0.499226i | ||||
\(780\) | 0.546232 | + | 1.32341i | 0.0195582 | + | 0.0473857i | ||||
\(781\) | 48.3592i | 1.73043i | ||||||||
\(782\) | −4.37318 | + | 26.8170i | −0.156384 | + | 0.958976i | ||||
\(783\) | 31.4900 | + | 18.8444i | 1.12536 | + | 0.673443i | ||||
\(784\) | 4.64616 | − | 2.98590i | 0.165934 | − | 0.106639i | ||||
\(785\) | −7.64099 | − | 1.09861i | −0.272719 | − | 0.0392110i | ||||
\(786\) | 11.1522 | + | 7.76384i | 0.397785 | + | 0.276927i | ||||
\(787\) | 1.34251 | + | 4.57216i | 0.0478552 | + | 0.162980i | 0.979954 | − | 0.199225i | \(-0.0638423\pi\) |
−0.932099 | + | 0.362205i | \(0.882024\pi\) | |||||||
\(788\) | 24.3304 | − | 11.1113i | 0.866735 | − | 0.395825i | ||||
\(789\) | −14.5813 | + | 8.62680i | −0.519109 | + | 0.307122i | ||||
\(790\) | −1.55451 | − | 10.8118i | −0.0553069 | − | 0.384668i | ||||
\(791\) | 4.92314 | − | 16.7667i | 0.175047 | − | 0.596154i | ||||
\(792\) | −6.46131 | − | 11.9039i | −0.229593 | − | 0.422986i | ||||
\(793\) | −5.20212 | + | 8.09465i | −0.184733 | + | 0.287449i | ||||
\(794\) | −6.36373 | + | 9.90215i | −0.225840 | + | 0.351414i | ||||
\(795\) | −6.85679 | − | 8.53063i | −0.243185 | − | 0.302550i | ||||
\(796\) | 0.652143 | − | 2.22099i | 0.0231146 | − | 0.0787211i | ||||
\(797\) | −4.94779 | − | 34.4126i | −0.175260 | − | 1.21896i | −0.867554 | − | 0.497342i | \(-0.834309\pi\) |
0.692295 | − | 0.721615i | \(-0.256600\pi\) | |||||||
\(798\) | −6.30258 | − | 10.6528i | −0.223109 | − | 0.377106i | ||||
\(799\) | −52.0962 | + | 23.7915i | −1.84303 | + | 0.841683i | ||||
\(800\) | −0.281733 | − | 0.959493i | −0.00996075 | − | 0.0339232i | ||||
\(801\) | 39.8968 | − | 39.6972i | 1.40968 | − | 1.40263i | ||||
\(802\) | 23.0238 | + | 3.31032i | 0.812997 | + | 0.116891i | ||||
\(803\) | 35.6163 | − | 22.8892i | 1.25687 | − | 0.807743i | ||||
\(804\) | −10.6982 | − | 1.94401i | −0.377295 | − | 0.0685600i | ||||
\(805\) | −0.938115 | + | 5.75268i | −0.0330642 | + | 0.202755i | ||||
\(806\) | 4.70361i | 0.165678i | ||||||||
\(807\) | −11.0163 | + | 4.54693i | −0.387792 | + | 0.160060i | ||||
\(808\) | 0.363892 | − | 2.53092i | 0.0128017 | − | 0.0890376i | ||||
\(809\) | −10.9037 | − | 4.97954i | −0.383352 | − | 0.175071i | 0.214411 | − | 0.976743i | \(-0.431217\pi\) |
−0.597764 | + | 0.801672i | \(0.703944\pi\) | |||||||
\(810\) | −3.77975 | + | 8.16783i | −0.132807 | + | 0.286988i | ||||
\(811\) | −2.36443 | − | 5.17739i | −0.0830265 | − | 0.181803i | 0.863565 | − | 0.504237i | \(-0.168226\pi\) |
−0.946592 | + | 0.322434i | \(0.895499\pi\) | |||||||
\(812\) | 5.62099 | + | 6.48696i | 0.197258 | + | 0.227648i | ||||
\(813\) | −32.5237 | − | 1.20242i | −1.14066 | − | 0.0421708i | ||||
\(814\) | −41.3187 | − | 12.1323i | −1.44822 | − | 0.425235i | ||||
\(815\) | 7.11019 | − | 8.20560i | 0.249059 | − | 0.287429i | ||||
\(816\) | −6.69583 | + | 7.17377i | −0.234401 | + | 0.251132i | ||||
\(817\) | 5.48276 | + | 3.52356i | 0.191818 | + | 0.123274i | ||||
\(818\) | −18.6702 | − | 16.1778i | −0.652788 | − | 0.565644i | ||||
\(819\) | 1.81217 | − | 2.40817i | 0.0633224 | − | 0.0841482i | ||||
\(820\) | −2.36971 | + | 0.340712i | −0.0827537 | + | 0.0118982i | ||||
\(821\) | 22.8837 | − | 19.8289i | 0.798648 | − | 0.692033i | −0.156657 | − | 0.987653i | \(-0.550072\pi\) |
0.955305 | + | 0.295620i | \(0.0955263\pi\) | |||||||
\(822\) | −2.20713 | − | 8.69292i | −0.0769825 | − | 0.303200i | ||||
\(823\) | 19.6742 | − | 5.77686i | 0.685798 | − | 0.201369i | 0.0797720 | − | 0.996813i | \(-0.474581\pi\) |
0.606026 | + | 0.795445i | \(0.292763\pi\) | |||||||
\(824\) | 2.25231 | − | 4.93186i | 0.0784628 | − | 0.171810i | ||||
\(825\) | 7.41658 | + | 2.47881i | 0.258212 | + | 0.0863011i | ||||
\(826\) | −8.86173 | − | 13.7891i | −0.308339 | − | 0.479785i | ||||
\(827\) | 19.9946 | 0.695281 | 0.347640 | − | 0.937628i | \(-0.386983\pi\) | ||||
0.347640 | + | 0.937628i | \(0.386983\pi\) | |||||||
\(828\) | 8.86613 | − | 11.3310i | 0.308119 | − | 0.393780i | ||||
\(829\) | 40.4650 | 1.40541 | 0.702704 | − | 0.711483i | \(-0.251976\pi\) | ||||
0.702704 | + | 0.711483i | \(0.251976\pi\) | |||||||
\(830\) | 2.79068 | + | 4.34238i | 0.0968658 | + | 0.150726i | ||||
\(831\) | 13.0672 | + | 4.36739i | 0.453296 | + | 0.151503i | ||||
\(832\) | 0.343381 | − | 0.751899i | 0.0119046 | − | 0.0260674i | ||||
\(833\) | 30.0231 | − | 8.81557i | 1.04024 | − | 0.305441i | ||||
\(834\) | 1.74702 | + | 6.88075i | 0.0604943 | + | 0.238261i | ||||
\(835\) | 6.67997 | − | 5.78823i | 0.231170 | − | 0.200310i | ||||
\(836\) | 26.2764 | − | 3.77798i | 0.908790 | − | 0.130664i | ||||
\(837\) | −21.7162 | + | 20.0665i | −0.750620 | + | 0.693600i | ||||
\(838\) | 20.7662 | + | 17.9940i | 0.717356 | + | 0.621593i | ||||
\(839\) | 15.3339 | + | 9.85452i | 0.529386 | + | 0.340216i | 0.777875 | − | 0.628419i | \(-0.216298\pi\) |
−0.248489 | + | 0.968635i | \(0.579934\pi\) | |||||||
\(840\) | −1.43636 | + | 1.53889i | −0.0495591 | + | 0.0530966i | ||||
\(841\) | 13.6728 | − | 15.7792i | 0.471475 | − | 0.544111i | ||||
\(842\) | −10.0109 | − | 2.93947i | −0.344999 | − | 0.101301i | ||||
\(843\) | 47.1502 | + | 1.74317i | 1.62394 | + | 0.0600380i | ||||
\(844\) | 0.614722 | + | 0.709427i | 0.0211596 | + | 0.0244195i | ||||
\(845\) | 5.11656 | + | 11.2037i | 0.176015 | + | 0.385419i | ||||
\(846\) | 30.2432 | + | 2.23928i | 1.03978 | + | 0.0769879i | ||||
\(847\) | 10.3736 | + | 4.73748i | 0.356443 | + | 0.162782i | ||||
\(848\) | −0.899280 | + | 6.25463i | −0.0308814 | + | 0.214785i | ||||
\(849\) | −10.2026 | + | 4.21109i | −0.350153 | + | 0.144524i | ||||
\(850\) | − | 5.66560i | − | 0.194329i | ||||||
\(851\) | −5.65531 | − | 45.3926i | −0.193861 | − | 1.55604i | ||||
\(852\) | −18.2535 | − | 3.31694i | −0.625356 | − | 0.113636i | ||||
\(853\) | 47.8655 | − | 30.7613i | 1.63888 | − | 1.05325i | 0.697128 | − | 0.716946i | \(-0.254461\pi\) |
0.941755 | − | 0.336300i | \(-0.109176\pi\) | |||||||
\(854\) | −14.0036 | − | 2.01341i | −0.479193 | − | 0.0688975i | ||||
\(855\) | −12.4419 | − | 12.5044i | −0.425503 | − | 0.427643i | ||||
\(856\) | 0.148671 | + | 0.506326i | 0.00508146 | + | 0.0173059i | ||||
\(857\) | 32.7379 | − | 14.9509i | 1.11831 | − | 0.510713i | 0.231490 | − | 0.972837i | \(-0.425640\pi\) |
0.886815 | + | 0.462124i | \(0.152913\pi\) | |||||||
\(858\) | 3.29135 | + | 5.56315i | 0.112365 | + | 0.189923i | ||||
\(859\) | −1.58754 | − | 11.0416i | −0.0541661 | − | 0.376734i | −0.998816 | − | 0.0486529i | \(-0.984507\pi\) |
0.944650 | − | 0.328081i | \(-0.106402\pi\) | |||||||
\(860\) | 0.312276 | − | 1.06351i | 0.0106485 | − | 0.0362655i | ||||
\(861\) | 3.15732 | + | 3.92807i | 0.107601 | + | 0.133868i | ||||
\(862\) | 11.2952 | − | 17.5757i | 0.384717 | − | 0.598632i | ||||
\(863\) | −1.19364 | + | 1.85735i | −0.0406321 | + | 0.0632248i | −0.860975 | − | 0.508647i | \(-0.830146\pi\) |
0.820343 | + | 0.571871i | \(0.193782\pi\) | |||||||
\(864\) | 4.93638 | − | 1.62239i | 0.167939 | − | 0.0551947i | ||||
\(865\) | −2.77010 | + | 9.43408i | −0.0941861 | + | 0.320768i | ||||
\(866\) | −3.22680 | − | 22.4429i | −0.109651 | − | 0.762640i | ||||
\(867\) | −22.5081 | + | 13.3166i | −0.764416 | + | 0.452254i | ||||
\(868\) | −6.29084 | + | 2.87293i | −0.213525 | + | 0.0975135i | ||||
\(869\) | −13.8937 | − | 47.3176i | −0.471311 | − | 1.60514i | ||||
\(870\) | 10.0394 | + | 6.98913i | 0.340366 | + | 0.236954i | ||||
\(871\) | 5.13633 | + | 0.738493i | 0.174038 | + | 0.0250229i | ||||
\(872\) | −2.06011 | + | 1.32395i | −0.0697640 | + | 0.0448346i | ||||
\(873\) | 9.95150 | − | 26.4780i | 0.336807 | − | 0.896146i | ||||
\(874\) | 14.7957 | + | 24.0058i | 0.500472 | + | 0.812007i | ||||
\(875\) | − | 1.21536i | − | 0.0410867i | ||||||
\(876\) | 6.19680 | + | 15.0136i | 0.209370 | + | 0.507263i | ||||
\(877\) | −4.52580 | + | 31.4776i | −0.152825 | + | 1.06292i | 0.758629 | + | 0.651523i | \(0.225869\pi\) |
−0.911454 | + | 0.411401i | \(0.865040\pi\) | |||||||
\(878\) | −11.0589 | − | 5.05044i | −0.373221 | − | 0.170444i | ||||
\(879\) | −1.29117 | − | 12.1530i | −0.0435500 | − | 0.409910i | ||||
\(880\) | −1.87552 | − | 4.10681i | −0.0632236 | − | 0.138440i | ||||
\(881\) | 8.94839 | + | 10.3270i | 0.301479 | + | 0.347925i | 0.886195 | − | 0.463313i | \(-0.153339\pi\) |
−0.584716 | + | 0.811238i | \(0.698794\pi\) | |||||||
\(882\) | −16.1812 | − | 3.56252i | −0.544848 | − | 0.119956i | ||||
\(883\) | 0.481261 | + | 0.141311i | 0.0161957 | + | 0.00475549i | 0.289820 | − | 0.957081i | \(-0.406404\pi\) |
−0.273625 | + | 0.961837i | \(0.588223\pi\) | |||||||
\(884\) | 3.06683 | − | 3.53931i | 0.103148 | − | 0.119040i | ||||
\(885\) | −17.0768 | − | 15.9391i | −0.574030 | − | 0.535786i | ||||
\(886\) | 30.7335 | + | 19.7512i | 1.03251 | + | 0.663556i | ||||
\(887\) | −25.8267 | − | 22.3790i | −0.867177 | − | 0.751413i | 0.102777 | − | 0.994704i | \(-0.467227\pi\) |
−0.969953 | + | 0.243292i | \(0.921773\pi\) | |||||||
\(888\) | 7.41344 | − | 14.7639i | 0.248779 | − | 0.495444i | ||||
\(889\) | −9.38029 | + | 1.34868i | −0.314605 | + | 0.0452334i | ||||
\(890\) | 14.1783 | − | 12.2855i | 0.475256 | − | 0.411812i | ||||
\(891\) | −11.6431 | + | 38.9294i | −0.390058 | + | 1.30418i | ||||
\(892\) | −18.8257 | + | 5.52771i | −0.630330 | + | 0.185082i | ||||
\(893\) | −24.6915 | + | 54.0668i | −0.826269 | + | 1.80928i | ||||
\(894\) | 2.72553 | − | 8.15476i | 0.0911553 | − | 0.272736i | ||||
\(895\) | 14.2018 | + | 22.0985i | 0.474714 | + | 0.738670i | ||||
\(896\) | 1.21536 | 0.0406023 | ||||||||
\(897\) | −4.02857 | + | 5.56020i | −0.134510 | + | 0.185650i | ||||
\(898\) | −23.7063 | −0.791088 | ||||||||
\(899\) | 21.7272 | + | 33.8083i | 0.724644 | + | 1.12757i | ||||
\(900\) | −1.44435 | + | 2.62942i | −0.0481448 | + | 0.0876474i | ||||
\(901\) | −14.8721 | + | 32.5654i | −0.495462 | + | 1.08491i | ||||
\(902\) | −10.3709 | + | 3.04518i | −0.345314 | + | 0.101393i | ||||
\(903\) | −2.26152 | + | 0.574200i | −0.0752588 | + | 0.0191082i | ||||
\(904\) | −10.8662 | + | 9.41562i | −0.361405 | + | 0.313159i | ||||
\(905\) | 17.9041 | − | 2.57422i | 0.595153 | − | 0.0855700i | ||||
\(906\) | −6.86944 | − | 3.44938i | −0.228222 | − | 0.114598i | ||||
\(907\) | −16.5833 | − | 14.3695i | −0.550641 | − | 0.477133i | 0.334539 | − | 0.942382i | \(-0.391419\pi\) |
−0.885180 | + | 0.465249i | \(0.845965\pi\) | |||||||
\(908\) | 3.65889 | + | 2.35143i | 0.121425 | + | 0.0780348i | ||||
\(909\) | −6.15234 | + | 4.58156i | −0.204060 | + | 0.151961i | ||||
\(910\) | 0.657882 | − | 0.759236i | 0.0218086 | − | 0.0251684i | ||||
\(911\) | −50.5793 | − | 14.8514i | −1.67577 | − | 0.492049i | −0.700606 | − | 0.713548i | \(-0.747087\pi\) |
−0.975161 | + | 0.221499i | \(0.928905\pi\) | |||||||
\(912\) | −0.376263 | + | 10.1774i | −0.0124593 | + | 0.337006i | ||||
\(913\) | 15.2612 | + | 17.6123i | 0.505071 | + | 0.582883i | ||||
\(914\) | −7.80582 | − | 17.0924i | −0.258194 | − | 0.565365i | ||||
\(915\) | −20.0494 | + | 2.13010i | −0.662811 | + | 0.0704191i | ||||
\(916\) | −3.22251 | − | 1.47167i | −0.106475 | − | 0.0486254i | ||||
\(917\) | 1.35696 | − | 9.43788i | 0.0448108 | − | 0.311666i | ||||
\(918\) | 29.4243 | − | 0.940087i | 0.971148 | − | 0.0310275i | ||||
\(919\) | 29.2165i | 0.963762i | 0.876237 | + | 0.481881i | \(0.160046\pi\) | ||||
−0.876237 | + | 0.481881i | \(0.839954\pi\) | |||||||
\(920\) | 3.20837 | − | 3.56460i | 0.105777 | − | 0.117521i | ||||
\(921\) | −6.39414 | + | 35.1878i | −0.210694 | + | 1.15948i | ||||
\(922\) | −26.7837 | + | 17.2128i | −0.882074 | + | 0.566875i | ||||
\(923\) | 8.76378 | + | 1.26004i | 0.288463 | + | 0.0414748i | ||||
\(924\) | −5.43010 | + | 7.79994i | −0.178637 | + | 0.256599i | ||||
\(925\) | 2.68722 | + | 9.15183i | 0.0883553 | + | 0.300910i | ||||
\(926\) | −23.9939 | + | 10.9577i | −0.788490 | + | 0.360091i | ||||
\(927\) | −15.2541 | + | 5.64597i | −0.501012 | + | 0.185438i | ||||
\(928\) | −1.00510 | − | 6.99061i | −0.0329940 | − | 0.229478i | ||||
\(929\) | −0.417549 | + | 1.42204i | −0.0136993 | + | 0.0466557i | −0.966059 | − | 0.258321i | \(-0.916831\pi\) |
0.952360 | + | 0.304977i | \(0.0986488\pi\) | |||||||
\(930\) | −7.68199 | + | 6.17467i | −0.251902 | + | 0.202475i | ||||
\(931\) | 17.5569 | − | 27.3190i | 0.575403 | − | 0.895345i | ||||
\(932\) | −8.72513 | + | 13.5766i | −0.285801 | + | 0.444715i | ||||
\(933\) | −13.8587 | + | 11.1394i | −0.453714 | + | 0.364689i | ||||
\(934\) | −3.83750 | + | 13.0693i | −0.125567 | + | 0.427642i | ||||
\(935\) | −3.64028 | − | 25.3187i | −0.119050 | − | 0.828010i | ||||
\(936\) | −2.32561 | + | 0.860769i | −0.0760148 | + | 0.0281351i | ||||
\(937\) | −9.83961 | + | 4.49360i | −0.321446 | + | 0.146800i | −0.569602 | − | 0.821921i | \(-0.692903\pi\) |
0.248156 | + | 0.968720i | \(0.420175\pi\) | |||||||
\(938\) | 2.14954 | + | 7.32065i | 0.0701848 | + | 0.239028i | ||||
\(939\) | 16.8488 | − | 24.2020i | 0.549839 | − | 0.789803i | ||||
\(940\) | 10.0058 | + | 1.43861i | 0.326352 | + | 0.0469224i | ||||
\(941\) | 15.5870 | − | 10.0172i | 0.508122 | − | 0.326550i | −0.261335 | − | 0.965248i | \(-0.584163\pi\) |
0.769458 | + | 0.638698i | \(0.220526\pi\) | |||||||
\(942\) | 2.39050 | − | 13.1552i | 0.0778868 | − | 0.428621i | ||||
\(943\) | −7.35393 | − | 8.81739i | −0.239477 | − | 0.287134i | ||||
\(944\) | 13.4867i | 0.438954i | ||||||||
\(945\) | 6.31198 | − | 0.201663i | 0.205329 | − | 0.00656011i | ||||
\(946\) | 0.712180 | − | 4.95332i | 0.0231550 | − | 0.161046i | ||||
\(947\) | 3.66173 | + | 1.67226i | 0.118990 | + | 0.0543411i | 0.474021 | − | 0.880514i | \(-0.342802\pi\) |
−0.355030 | + | 0.934855i | \(0.615529\pi\) | |||||||
\(948\) | 18.8133 | − | 1.99878i | 0.611028 | − | 0.0649175i | ||||
\(949\) | −3.22003 | − | 7.05088i | −0.104527 | − | 0.228881i | ||||
\(950\) | −3.85053 | − | 4.44375i | −0.124928 | − | 0.144174i | ||||
\(951\) | 0.261345 | − | 7.06900i | 0.00847469 | − | 0.229228i | ||||
\(952\) | 6.60683 | + | 1.93994i | 0.214129 | + | 0.0628738i | ||||
\(953\) | 14.5252 | − | 16.7630i | 0.470517 | − | 0.543006i | −0.470038 | − | 0.882646i | \(-0.655760\pi\) |
0.940555 | + | 0.339640i | \(0.110305\pi\) | |||||||
\(954\) | 15.2042 | − | 11.3223i | 0.492253 | − | 0.366574i | ||||
\(955\) | 13.3796 | + | 8.59852i | 0.432952 | + | 0.278242i | ||||
\(956\) | −8.56993 | − | 7.42588i | −0.277171 | − | 0.240170i | ||||
\(957\) | 49.3550 | + | 24.7828i | 1.59542 | + | 0.801114i | ||||
\(958\) | −0.795856 | + | 0.114427i | −0.0257129 | + | 0.00369696i | ||||
\(959\) | −4.75613 | + | 4.12121i | −0.153584 | + | 0.133081i | ||||
\(960\) | 1.67878 | − | 0.426243i | 0.0541825 | − | 0.0137569i | ||||
\(961\) | −1.32396 | + | 0.388750i | −0.0427084 | + | 0.0125403i | ||||
\(962\) | −3.27523 | + | 7.17176i | −0.105598 | + | 0.231227i | ||||
\(963\) | 0.762183 | − | 1.38755i | 0.0245610 | − | 0.0447132i | ||||
\(964\) | 4.24250 | + | 6.60147i | 0.136642 | + | 0.212619i | ||||
\(965\) | −14.1496 | −0.455491 | ||||||||
\(966\) | −9.89709 | − | 1.99187i | −0.318434 | − | 0.0640875i | ||||
\(967\) | −6.64612 | −0.213725 | −0.106862 | − | 0.994274i | \(-0.534080\pi\) | ||||
−0.106862 | + | 0.994274i | \(0.534080\pi\) | |||||||
\(968\) | −5.07305 | − | 7.89382i | −0.163054 | − | 0.253717i | ||||
\(969\) | −18.2904 | + | 54.7247i | −0.587571 | + | 1.75801i | ||||
\(970\) | 3.91686 | − | 8.57673i | 0.125763 | − | 0.275382i | ||||
\(971\) | −3.41705 | + | 1.00334i | −0.109658 | + | 0.0321986i | −0.336101 | − | 0.941826i | \(-0.609108\pi\) |
0.226443 | + | 0.974024i | \(0.427290\pi\) | |||||||
\(972\) | −13.8956 | − | 7.06491i | −0.445701 | − | 0.226607i | ||||
\(973\) | 3.76464 | − | 3.26208i | 0.120689 | − | 0.104578i | ||||
\(974\) | 15.0937 | − | 2.17015i | 0.483633 | − | 0.0695359i | ||||
\(975\) | 0.642462 | − | 1.27947i | 0.0205752 | − | 0.0409757i | ||||
\(976\) | 8.79742 | + | 7.62301i | 0.281598 | + | 0.244006i | ||||
\(977\) | −39.1841 | − | 25.1821i | −1.25361 | − | 0.805647i | −0.266215 | − | 0.963914i | \(-0.585773\pi\) |
−0.987396 | + | 0.158267i | \(0.949409\pi\) | |||||||
\(978\) | 13.7478 | + | 12.8319i | 0.439607 | + | 0.410318i | ||||
\(979\) | 55.4667 | − | 64.0120i | 1.77272 | − | 2.04583i | ||||
\(980\) | −5.29918 | − | 1.55598i | −0.169276 | − | 0.0497040i | ||||
\(981\) | 7.17473 | + | 1.57962i | 0.229071 | + | 0.0504334i | ||||
\(982\) | 20.2893 | + | 23.4151i | 0.647457 | + | 0.747206i | ||||
\(983\) | −21.2803 | − | 46.5973i | −0.678735 | − | 1.48622i | −0.863978 | − | 0.503530i | \(-0.832034\pi\) |
0.185242 | − | 0.982693i | \(-0.440693\pi\) | |||||||
\(984\) | −0.438088 | − | 4.12345i | −0.0139657 | − | 0.131451i | ||||
\(985\) | −24.3304 | − | 11.1113i | −0.775231 | − | 0.354036i | ||||
\(986\) | 5.69449 | − | 39.6060i | 0.181349 | − | 1.26131i | ||||
\(987\) | −8.11862 | − | 19.6698i | −0.258419 | − | 0.626097i | ||||
\(988\) | − | 4.86032i | − | 0.154628i | ||||||
\(989\) | 5.12776 | − | 1.40121i | 0.163053 | − | 0.0445558i | ||||
\(990\) | −4.76509 | + | 12.6785i | −0.151444 | + | 0.402949i | ||||
\(991\) | −34.5184 | + | 22.1836i | −1.09651 | + | 0.704686i | −0.958313 | − | 0.285719i | \(-0.907768\pi\) |
−0.138199 | + | 0.990405i | \(0.544131\pi\) | |||||||
\(992\) | 5.63241 | + | 0.809818i | 0.178829 | + | 0.0257118i | ||||
\(993\) | 23.8267 | + | 16.5875i | 0.756118 | + | 0.526388i | ||||
\(994\) | 3.66761 | + | 12.4907i | 0.116329 | + | 0.396182i | ||||
\(995\) | −2.10558 | + | 0.961586i | −0.0667513 | + | 0.0304843i | ||||
\(996\) | −7.69466 | + | 4.55242i | −0.243815 | + | 0.144249i | ||||
\(997\) | −2.15501 | − | 14.9884i | −0.0682497 | − | 0.474687i | −0.995069 | − | 0.0991806i | \(-0.968378\pi\) |
0.926820 | − | 0.375507i | \(-0.122531\pi\) | |||||||
\(998\) | 4.61482 | − | 15.7166i | 0.146080 | − | 0.497502i | ||||
\(999\) | −47.0842 | + | 15.4746i | −1.48968 | + | 0.489596i |
(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 | 690.2.q.b.11.16 | yes | 160 | |
3.2 | odd | 2 | 690.2.q.a.11.1 | ✓ | 160 | ||
23.21 | odd | 22 | 690.2.q.a.251.1 | yes | 160 | ||
69.44 | even | 22 | inner | 690.2.q.b.251.16 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.q.a.11.1 | ✓ | 160 | 3.2 | odd | 2 | ||
690.2.q.a.251.1 | yes | 160 | 23.21 | odd | 22 | ||
690.2.q.b.11.16 | yes | 160 | 1.1 | even | 1 | trivial | |
690.2.q.b.251.16 | yes | 160 | 69.44 | even | 22 | inner |