Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(15,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.e (of order \(7\), degree \(6\), 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: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} - 1092 x^{9} + 7272 x^{8} - 10168 x^{7} + 25378 x^{6} - 43359 x^{5} + \cdots + 729 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 7 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 15.3 | ||
Root | \(1.35938 - 1.70461i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 98.15 |
Dual form | 98.2.e.a.85.3 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.222521 | + | 0.974928i | −0.157346 | + | 0.689378i | ||||
\(3\) | 1.98287 | − | 2.48644i | 1.14481 | − | 1.43555i | 0.262467 | − | 0.964941i | \(-0.415464\pi\) |
0.882344 | − | 0.470606i | \(-0.155965\pi\) | |||||||
\(4\) | −0.900969 | − | 0.433884i | −0.450484 | − | 0.216942i | ||||
\(5\) | −1.57994 | + | 1.98119i | −0.706572 | + | 0.886013i | −0.997495 | − | 0.0707330i | \(-0.977466\pi\) |
0.290923 | + | 0.956746i | \(0.406038\pi\) | |||||||
\(6\) | 1.98287 | + | 2.48644i | 0.809503 | + | 1.01508i | ||||
\(7\) | 2.54314 | − | 0.729681i | 0.961217 | − | 0.275793i | ||||
\(8\) | 0.623490 | − | 0.781831i | 0.220437 | − | 0.276419i | ||||
\(9\) | −1.58305 | − | 6.93579i | −0.527683 | − | 2.31193i | ||||
\(10\) | −1.57994 | − | 1.98119i | −0.499622 | − | 0.626506i | ||||
\(11\) | −0.406439 | + | 1.78073i | −0.122546 | + | 0.536909i | 0.875966 | + | 0.482373i | \(0.160225\pi\) |
−0.998512 | + | 0.0545358i | \(0.982632\pi\) | |||||||
\(12\) | −2.86533 | + | 1.37987i | −0.827150 | + | 0.398334i | ||||
\(13\) | −0.451778 | + | 1.97937i | −0.125301 | + | 0.548978i | 0.872839 | + | 0.488008i | \(0.162276\pi\) |
−0.998140 | + | 0.0609695i | \(0.980581\pi\) | |||||||
\(14\) | 0.145484 | + | 2.64175i | 0.0388822 | + | 0.706037i | ||||
\(15\) | 1.79328 | + | 7.85687i | 0.463023 | + | 2.02863i | ||||
\(16\) | 0.623490 | + | 0.781831i | 0.155872 | + | 0.195458i | ||||
\(17\) | −6.55291 | + | 3.15572i | −1.58931 | + | 0.765373i | −0.999122 | − | 0.0418895i | \(-0.986662\pi\) |
−0.590192 | + | 0.807263i | \(0.700948\pi\) | |||||||
\(18\) | 7.11416 | 1.67682 | ||||||||
\(19\) | −3.12221 | −0.716284 | −0.358142 | − | 0.933667i | \(-0.616590\pi\) | ||||
−0.358142 | + | 0.933667i | \(0.616590\pi\) | |||||||
\(20\) | 2.28308 | − | 1.09948i | 0.510513 | − | 0.245850i | ||||
\(21\) | 3.22841 | − | 7.77023i | 0.704497 | − | 1.69560i | ||||
\(22\) | −1.64564 | − | 0.792497i | −0.350851 | − | 0.168961i | ||||
\(23\) | 0.839190 | + | 0.404133i | 0.174983 | + | 0.0842675i | 0.519325 | − | 0.854577i | \(-0.326184\pi\) |
−0.344342 | + | 0.938844i | \(0.611898\pi\) | |||||||
\(24\) | −0.707678 | − | 3.10054i | −0.144454 | − | 0.632895i | ||||
\(25\) | −0.316273 | − | 1.38568i | −0.0632547 | − | 0.277137i | ||||
\(26\) | −1.82921 | − | 0.880901i | −0.358738 | − | 0.172759i | ||||
\(27\) | −11.7884 | − | 5.67700i | −2.26868 | − | 1.09254i | ||||
\(28\) | −2.60789 | − | 0.446008i | −0.492844 | − | 0.0842876i | ||||
\(29\) | 2.47457 | − | 1.19169i | 0.459516 | − | 0.221291i | −0.189780 | − | 0.981827i | \(-0.560778\pi\) |
0.649297 | + | 0.760535i | \(0.275063\pi\) | |||||||
\(30\) | −8.05892 | −1.47135 | ||||||||
\(31\) | 2.32310 | 0.417242 | 0.208621 | − | 0.977997i | \(-0.433103\pi\) | ||||
0.208621 | + | 0.977997i | \(0.433103\pi\) | |||||||
\(32\) | −0.900969 | + | 0.433884i | −0.159270 | + | 0.0767005i | ||||
\(33\) | 3.62175 | + | 4.54153i | 0.630466 | + | 0.790579i | ||||
\(34\) | −1.61844 | − | 7.09083i | −0.277559 | − | 1.21607i | ||||
\(35\) | −2.57239 | + | 6.19129i | −0.434812 | + | 1.04652i | ||||
\(36\) | −1.58305 | + | 6.93579i | −0.263841 | + | 1.15597i | ||||
\(37\) | 3.19756 | − | 1.53986i | 0.525676 | − | 0.253152i | −0.152173 | − | 0.988354i | \(-0.548627\pi\) |
0.677848 | + | 0.735202i | \(0.262913\pi\) | |||||||
\(38\) | 0.694757 | − | 3.04393i | 0.112704 | − | 0.493791i | ||||
\(39\) | 4.02576 | + | 5.04815i | 0.644638 | + | 0.808350i | ||||
\(40\) | 0.563875 | + | 2.47050i | 0.0891565 | + | 0.390620i | ||||
\(41\) | 4.24882 | − | 5.32786i | 0.663555 | − | 0.832071i | −0.330170 | − | 0.943921i | \(-0.607106\pi\) |
0.993725 | + | 0.111850i | \(0.0356776\pi\) | |||||||
\(42\) | 6.85703 | + | 4.87651i | 1.05806 | + | 0.752461i | ||||
\(43\) | −4.86049 | − | 6.09486i | −0.741218 | − | 0.929458i | 0.258110 | − | 0.966116i | \(-0.416900\pi\) |
−0.999328 | + | 0.0366578i | \(0.988329\pi\) | |||||||
\(44\) | 1.13882 | − | 1.42803i | 0.171683 | − | 0.215284i | ||||
\(45\) | 16.2422 | + | 7.82184i | 2.42125 | + | 1.16601i | ||||
\(46\) | −0.580738 | + | 0.728222i | −0.0856251 | + | 0.107370i | ||||
\(47\) | 0.469323 | − | 2.05624i | 0.0684578 | − | 0.299933i | −0.929096 | − | 0.369839i | \(-0.879413\pi\) |
0.997554 | + | 0.0699059i | \(0.0222699\pi\) | |||||||
\(48\) | 3.18028 | 0.459033 | ||||||||
\(49\) | 5.93513 | − | 3.71136i | 0.847876 | − | 0.530195i | ||||
\(50\) | 1.42132 | 0.201005 | ||||||||
\(51\) | −5.14707 | + | 22.5508i | −0.720734 | + | 3.15774i | ||||
\(52\) | 1.26585 | − | 1.58733i | 0.175542 | − | 0.220123i | ||||
\(53\) | 3.11830 | + | 1.50169i | 0.428331 | + | 0.206273i | 0.635613 | − | 0.772008i | \(-0.280747\pi\) |
−0.207282 | + | 0.978281i | \(0.566462\pi\) | |||||||
\(54\) | 8.15784 | − | 10.2296i | 1.11014 | − | 1.39207i | ||||
\(55\) | −2.88580 | − | 3.61868i | −0.389121 | − | 0.487942i | ||||
\(56\) | 1.01514 | − | 2.44326i | 0.135653 | − | 0.326494i | ||||
\(57\) | −6.19094 | + | 7.76319i | −0.820009 | + | 1.02826i | ||||
\(58\) | 0.611169 | + | 2.67770i | 0.0802504 | + | 0.351600i | ||||
\(59\) | 1.07192 | + | 1.34415i | 0.139552 | + | 0.174993i | 0.846696 | − | 0.532077i | \(-0.178588\pi\) |
−0.707144 | + | 0.707070i | \(0.750017\pi\) | |||||||
\(60\) | 1.79328 | − | 7.85687i | 0.231511 | − | 1.01432i | ||||
\(61\) | −7.74453 | + | 3.72957i | −0.991585 | + | 0.477522i | −0.858075 | − | 0.513525i | \(-0.828339\pi\) |
−0.133511 | + | 0.991047i | \(0.542625\pi\) | |||||||
\(62\) | −0.516939 | + | 2.26486i | −0.0656514 | + | 0.287637i | ||||
\(63\) | −9.08683 | − | 16.4836i | −1.14483 | − | 2.07673i | ||||
\(64\) | −0.222521 | − | 0.974928i | −0.0278151 | − | 0.121866i | ||||
\(65\) | −3.20771 | − | 4.02234i | −0.397868 | − | 0.498910i | ||||
\(66\) | −5.23358 | + | 2.52036i | −0.644210 | + | 0.310235i | ||||
\(67\) | 8.17902 | 0.999226 | 0.499613 | − | 0.866249i | \(-0.333476\pi\) | ||||
0.499613 | + | 0.866249i | \(0.333476\pi\) | |||||||
\(68\) | 7.27318 | 0.882003 | ||||||||
\(69\) | 2.66886 | − | 1.28525i | 0.321293 | − | 0.154726i | ||||
\(70\) | −5.46365 | − | 3.88558i | −0.653031 | − | 0.464416i | ||||
\(71\) | 2.83187 | + | 1.36376i | 0.336081 | + | 0.161848i | 0.594311 | − | 0.804235i | \(-0.297425\pi\) |
−0.258230 | + | 0.966083i | \(0.583139\pi\) | |||||||
\(72\) | −6.40963 | − | 3.08672i | −0.755383 | − | 0.363773i | ||||
\(73\) | −2.98534 | − | 13.0796i | −0.349408 | − | 1.53086i | −0.778529 | − | 0.627609i | \(-0.784034\pi\) |
0.429121 | − | 0.903247i | \(-0.358824\pi\) | |||||||
\(74\) | 0.789732 | + | 3.46004i | 0.0918045 | + | 0.402222i | ||||
\(75\) | −4.07255 | − | 1.96124i | −0.470258 | − | 0.226464i | ||||
\(76\) | 2.81301 | + | 1.35468i | 0.322675 | + | 0.155392i | ||||
\(77\) | 0.265730 | + | 4.82521i | 0.0302827 | + | 0.549883i | ||||
\(78\) | −5.81739 | + | 2.80151i | −0.658690 | + | 0.317208i | ||||
\(79\) | 1.17532 | 0.132234 | 0.0661172 | − | 0.997812i | \(-0.478939\pi\) | ||||
0.0661172 | + | 0.997812i | \(0.478939\pi\) | |||||||
\(80\) | −2.53403 | −0.283313 | ||||||||
\(81\) | −18.2615 | + | 8.79429i | −2.02906 | + | 0.977143i | ||||
\(82\) | 4.24882 | + | 5.32786i | 0.469204 | + | 0.588363i | ||||
\(83\) | 2.31313 | + | 10.1345i | 0.253900 | + | 1.11241i | 0.927651 | + | 0.373448i | \(0.121825\pi\) |
−0.673751 | + | 0.738958i | \(0.735318\pi\) | |||||||
\(84\) | −6.28007 | + | 5.59998i | −0.685212 | + | 0.611008i | ||||
\(85\) | 4.10117 | − | 17.9684i | 0.444834 | − | 1.94895i | ||||
\(86\) | 7.02361 | − | 3.38239i | 0.757376 | − | 0.364733i | ||||
\(87\) | 1.94368 | − | 8.51584i | 0.208385 | − | 0.912994i | ||||
\(88\) | 1.13882 | + | 1.42803i | 0.121398 | + | 0.152229i | ||||
\(89\) | −2.28789 | − | 10.0239i | −0.242516 | − | 1.06253i | −0.938718 | − | 0.344686i | \(-0.887985\pi\) |
0.696202 | − | 0.717846i | \(-0.254872\pi\) | |||||||
\(90\) | −11.2400 | + | 14.0945i | −1.18480 | + | 1.48569i | ||||
\(91\) | 0.295372 | + | 5.36346i | 0.0309634 | + | 0.562244i | ||||
\(92\) | −0.580738 | − | 0.728222i | −0.0605461 | − | 0.0759224i | ||||
\(93\) | 4.60641 | − | 5.77626i | 0.477663 | − | 0.598970i | ||||
\(94\) | 1.90025 | + | 0.915113i | 0.195996 | + | 0.0943867i | ||||
\(95\) | 4.93291 | − | 6.18568i | 0.506106 | − | 0.634637i | ||||
\(96\) | −0.707678 | + | 3.10054i | −0.0722271 | + | 0.316448i | ||||
\(97\) | 0.616433 | 0.0625893 | 0.0312946 | − | 0.999510i | \(-0.490037\pi\) | ||||
0.0312946 | + | 0.999510i | \(0.490037\pi\) | |||||||
\(98\) | 2.29762 | + | 6.61218i | 0.232095 | + | 0.667931i | ||||
\(99\) | 12.9942 | 1.30596 | ||||||||
\(100\) | −0.316273 | + | 1.38568i | −0.0316273 | + | 0.138568i | ||||
\(101\) | −5.62577 | + | 7.05449i | −0.559785 | + | 0.701948i | −0.978518 | − | 0.206161i | \(-0.933903\pi\) |
0.418733 | + | 0.908109i | \(0.362474\pi\) | |||||||
\(102\) | −20.8401 | − | 10.0360i | −2.06347 | − | 0.993717i | ||||
\(103\) | −6.49351 | + | 8.14260i | −0.639824 | + | 0.802314i | −0.990981 | − | 0.134002i | \(-0.957217\pi\) |
0.351157 | + | 0.936317i | \(0.385788\pi\) | |||||||
\(104\) | 1.26585 | + | 1.58733i | 0.124127 | + | 0.155650i | ||||
\(105\) | 10.2936 | + | 18.6726i | 1.00455 | + | 1.82226i | ||||
\(106\) | −2.15793 | + | 2.70596i | −0.209596 | + | 0.262826i | ||||
\(107\) | −0.231043 | − | 1.01227i | −0.0223358 | − | 0.0978596i | 0.962531 | − | 0.271170i | \(-0.0874107\pi\) |
−0.984867 | + | 0.173311i | \(0.944554\pi\) | |||||||
\(108\) | 8.15784 | + | 10.2296i | 0.784988 | + | 0.984344i | ||||
\(109\) | −4.31436 | + | 18.9025i | −0.413241 | + | 1.81053i | 0.155294 | + | 0.987868i | \(0.450367\pi\) |
−0.568535 | + | 0.822659i | \(0.692490\pi\) | |||||||
\(110\) | 4.17010 | − | 2.00821i | 0.397603 | − | 0.191476i | ||||
\(111\) | 2.51157 | − | 11.0039i | 0.238387 | − | 1.04444i | ||||
\(112\) | 2.15611 | + | 1.53336i | 0.203733 | + | 0.144889i | ||||
\(113\) | −4.37508 | − | 19.1685i | −0.411573 | − | 1.80322i | −0.576710 | − | 0.816949i | \(-0.695664\pi\) |
0.165137 | − | 0.986271i | \(-0.447194\pi\) | |||||||
\(114\) | −6.19094 | − | 7.76319i | −0.579834 | − | 0.727089i | ||||
\(115\) | −2.12653 | + | 1.02409i | −0.198300 | + | 0.0954964i | ||||
\(116\) | −2.74657 | −0.255012 | ||||||||
\(117\) | 14.4437 | 1.33532 | ||||||||
\(118\) | −1.54897 | + | 0.745945i | −0.142594 | + | 0.0686698i | ||||
\(119\) | −14.3623 | + | 12.8070i | −1.31659 | + | 1.17401i | ||||
\(120\) | 7.26084 | + | 3.49664i | 0.662821 | + | 0.319198i | ||||
\(121\) | 6.90487 | + | 3.32521i | 0.627715 | + | 0.302292i | ||||
\(122\) | −1.91274 | − | 8.38027i | −0.173171 | − | 0.758714i | ||||
\(123\) | −4.82253 | − | 21.1289i | −0.434833 | − | 1.90513i | ||||
\(124\) | −2.09304 | − | 1.00796i | −0.187961 | − | 0.0905172i | ||||
\(125\) | −8.17043 | − | 3.93467i | −0.730785 | − | 0.351928i | ||||
\(126\) | 18.0923 | − | 5.19106i | 1.61179 | − | 0.462457i | ||||
\(127\) | 10.0651 | − | 4.84711i | 0.893135 | − | 0.430111i | 0.0697305 | − | 0.997566i | \(-0.477786\pi\) |
0.823405 | + | 0.567455i | \(0.192072\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −24.7922 | −2.18283 | ||||||||
\(130\) | 4.63528 | − | 2.23223i | 0.406541 | − | 0.195780i | ||||
\(131\) | −0.566194 | − | 0.709984i | −0.0494686 | − | 0.0620316i | 0.756482 | − | 0.654015i | \(-0.226917\pi\) |
−0.805950 | + | 0.591983i | \(0.798345\pi\) | |||||||
\(132\) | −1.29259 | − | 5.66320i | −0.112505 | − | 0.492918i | ||||
\(133\) | −7.94022 | + | 2.27822i | −0.688504 | + | 0.197546i | ||||
\(134\) | −1.82000 | + | 7.97395i | −0.157224 | + | 0.688844i | ||||
\(135\) | 29.8722 | − | 14.3857i | 2.57099 | − | 1.23812i | ||||
\(136\) | −1.61844 | + | 7.09083i | −0.138780 | + | 0.608034i | ||||
\(137\) | −7.03514 | − | 8.82179i | −0.601052 | − | 0.753696i | 0.384489 | − | 0.923130i | \(-0.374378\pi\) |
−0.985542 | + | 0.169434i | \(0.945806\pi\) | |||||||
\(138\) | 0.659153 | + | 2.88794i | 0.0561108 | + | 0.245838i | ||||
\(139\) | −10.3356 | + | 12.9605i | −0.876657 | + | 1.09929i | 0.117684 | + | 0.993051i | \(0.462453\pi\) |
−0.994340 | + | 0.106242i | \(0.966118\pi\) | |||||||
\(140\) | 5.00394 | − | 4.46204i | 0.422910 | − | 0.377112i | ||||
\(141\) | −4.18211 | − | 5.24420i | −0.352197 | − | 0.441641i | ||||
\(142\) | −1.95971 | + | 2.45740i | −0.164455 | + | 0.206221i | ||||
\(143\) | −3.34109 | − | 1.60898i | −0.279396 | − | 0.134550i | ||||
\(144\) | 4.43560 | − | 5.56207i | 0.369634 | − | 0.463506i | ||||
\(145\) | −1.54872 | + | 6.78539i | −0.128614 | + | 0.563496i | ||||
\(146\) | 13.4160 | 1.11032 | ||||||||
\(147\) | 2.54051 | − | 22.1165i | 0.209538 | − | 1.82414i | ||||
\(148\) | −3.54902 | −0.291728 | ||||||||
\(149\) | −0.183437 | + | 0.803689i | −0.0150277 | + | 0.0658408i | −0.981886 | − | 0.189474i | \(-0.939322\pi\) |
0.966858 | + | 0.255314i | \(0.0821790\pi\) | |||||||
\(150\) | 2.81829 | − | 3.53403i | 0.230113 | − | 0.288552i | ||||
\(151\) | 8.57689 | + | 4.13041i | 0.697977 | + | 0.336128i | 0.749001 | − | 0.662569i | \(-0.230534\pi\) |
−0.0510235 | + | 0.998697i | \(0.516248\pi\) | |||||||
\(152\) | −1.94667 | + | 2.44104i | −0.157895 | + | 0.197995i | ||||
\(153\) | 32.2610 | + | 40.4540i | 2.60814 | + | 3.27051i | ||||
\(154\) | −4.76336 | − | 0.814642i | −0.383842 | − | 0.0656458i | ||||
\(155\) | −3.67037 | + | 4.60250i | −0.294811 | + | 0.369682i | ||||
\(156\) | −1.43678 | − | 6.29493i | −0.115034 | − | 0.503998i | ||||
\(157\) | 7.93928 | + | 9.95554i | 0.633623 | + | 0.794539i | 0.990189 | − | 0.139732i | \(-0.0446240\pi\) |
−0.356566 | + | 0.934270i | \(0.616053\pi\) | |||||||
\(158\) | −0.261534 | + | 1.14586i | −0.0208066 | + | 0.0911595i | ||||
\(159\) | 9.91704 | − | 4.77580i | 0.786473 | − | 0.378745i | ||||
\(160\) | 0.563875 | − | 2.47050i | 0.0445783 | − | 0.195310i | ||||
\(161\) | 2.42907 | + | 0.415425i | 0.191437 | + | 0.0327401i | ||||
\(162\) | −4.51022 | − | 19.7606i | −0.354357 | − | 1.55254i | ||||
\(163\) | −0.724133 | − | 0.908034i | −0.0567185 | − | 0.0711227i | 0.752663 | − | 0.658406i | \(-0.228769\pi\) |
−0.809382 | + | 0.587283i | \(0.800198\pi\) | |||||||
\(164\) | −6.13973 | + | 2.95674i | −0.479432 | + | 0.230882i | ||||
\(165\) | −14.7198 | −1.14593 | ||||||||
\(166\) | −10.3951 | −0.806819 | ||||||||
\(167\) | 19.3460 | − | 9.31654i | 1.49704 | − | 0.720936i | 0.507028 | − | 0.861929i | \(-0.330744\pi\) |
0.990010 | + | 0.140994i | \(0.0450297\pi\) | |||||||
\(168\) | −4.06213 | − | 7.36873i | −0.313400 | − | 0.568510i | ||||
\(169\) | 7.99880 | + | 3.85202i | 0.615293 | + | 0.296309i | ||||
\(170\) | 16.6053 | + | 7.99669i | 1.27357 | + | 0.613318i | ||||
\(171\) | 4.94261 | + | 21.6550i | 0.377971 | + | 1.65600i | ||||
\(172\) | 1.73469 | + | 7.60017i | 0.132269 | + | 0.579507i | ||||
\(173\) | −13.5692 | − | 6.53459i | −1.03165 | − | 0.496816i | −0.160087 | − | 0.987103i | \(-0.551178\pi\) |
−0.871561 | + | 0.490287i | \(0.836892\pi\) | |||||||
\(174\) | 7.86982 | + | 3.78991i | 0.596609 | + | 0.287312i | ||||
\(175\) | −1.81544 | − | 3.29321i | −0.137234 | − | 0.248943i | ||||
\(176\) | −1.64564 | + | 0.792497i | −0.124045 | + | 0.0597367i | ||||
\(177\) | 5.46762 | 0.410972 | ||||||||
\(178\) | 10.2817 | 0.770646 | ||||||||
\(179\) | 12.9728 | − | 6.24736i | 0.969630 | − | 0.466949i | 0.119104 | − | 0.992882i | \(-0.461998\pi\) |
0.850526 | + | 0.525933i | \(0.176284\pi\) | |||||||
\(180\) | −11.2400 | − | 14.0945i | −0.837778 | − | 1.05054i | ||||
\(181\) | −2.15294 | − | 9.43266i | −0.160027 | − | 0.701124i | −0.989734 | − | 0.142924i | \(-0.954349\pi\) |
0.829707 | − | 0.558200i | \(-0.188508\pi\) | |||||||
\(182\) | −5.29472 | − | 0.905516i | −0.392470 | − | 0.0671213i | ||||
\(183\) | −6.08304 | + | 26.6516i | −0.449672 | + | 1.97014i | ||||
\(184\) | 0.839190 | − | 0.404133i | 0.0618659 | − | 0.0297931i | ||||
\(185\) | −2.00121 | + | 8.76786i | −0.147132 | + | 0.644626i | ||||
\(186\) | 4.60641 | + | 5.77626i | 0.337759 | + | 0.423536i | ||||
\(187\) | −2.95610 | − | 12.9515i | −0.216172 | − | 0.947111i | ||||
\(188\) | −1.31501 | + | 1.64898i | −0.0959073 | + | 0.120264i | ||||
\(189\) | −34.1220 | − | 5.83564i | −2.48201 | − | 0.424480i | ||||
\(190\) | 4.93291 | + | 6.18568i | 0.357871 | + | 0.448756i | ||||
\(191\) | −10.8702 | + | 13.6308i | −0.786542 | + | 0.986292i | 0.213415 | + | 0.976962i | \(0.431541\pi\) |
−0.999956 | + | 0.00933042i | \(0.997030\pi\) | |||||||
\(192\) | −2.86533 | − | 1.37987i | −0.206787 | − | 0.0995836i | ||||
\(193\) | −4.47250 | + | 5.60834i | −0.321938 | + | 0.403697i | −0.916295 | − | 0.400504i | \(-0.868835\pi\) |
0.594357 | + | 0.804201i | \(0.297407\pi\) | |||||||
\(194\) | −0.137169 | + | 0.600978i | −0.00984818 | + | 0.0431477i | ||||
\(195\) | −16.3618 | −1.17169 | ||||||||
\(196\) | −6.95767 | + | 0.768664i | −0.496976 | + | 0.0549046i | ||||
\(197\) | −19.0127 | −1.35460 | −0.677300 | − | 0.735707i | \(-0.736850\pi\) | ||||
−0.677300 | + | 0.735707i | \(0.736850\pi\) | |||||||
\(198\) | −2.89147 | + | 12.6684i | −0.205488 | + | 0.900301i | ||||
\(199\) | −3.07025 | + | 3.84998i | −0.217644 | + | 0.272918i | −0.878653 | − | 0.477461i | \(-0.841557\pi\) |
0.661009 | + | 0.750378i | \(0.270129\pi\) | |||||||
\(200\) | −1.28057 | − | 0.616688i | −0.0905496 | − | 0.0436064i | ||||
\(201\) | 16.2179 | − | 20.3366i | 1.14392 | − | 1.43444i | ||||
\(202\) | −5.62577 | − | 7.05449i | −0.395828 | − | 0.496352i | ||||
\(203\) | 5.42363 | − | 4.83628i | 0.380664 | − | 0.339441i | ||||
\(204\) | 14.4218 | − | 18.0843i | 1.00973 | − | 1.26616i | ||||
\(205\) | 3.84258 | + | 16.8354i | 0.268377 | + | 1.17584i | ||||
\(206\) | −6.49351 | − | 8.14260i | −0.452424 | − | 0.567322i | ||||
\(207\) | 1.47450 | − | 6.46021i | 0.102485 | − | 0.449016i | ||||
\(208\) | −1.82921 | + | 0.880901i | −0.126833 | + | 0.0610795i | ||||
\(209\) | 1.26899 | − | 5.55980i | 0.0877777 | − | 0.384579i | ||||
\(210\) | −20.4950 | + | 5.88044i | −1.41429 | + | 0.405789i | ||||
\(211\) | 1.09553 | + | 4.79985i | 0.0754197 | + | 0.330435i | 0.998536 | − | 0.0540847i | \(-0.0172241\pi\) |
−0.923117 | + | 0.384520i | \(0.874367\pi\) | |||||||
\(212\) | −2.15793 | − | 2.70596i | −0.148207 | − | 0.185846i | ||||
\(213\) | 9.00612 | − | 4.33712i | 0.617089 | − | 0.297175i | ||||
\(214\) | 1.03830 | 0.0709767 | ||||||||
\(215\) | 19.7544 | 1.34724 | ||||||||
\(216\) | −11.7884 | + | 5.67700i | −0.802100 | + | 0.386271i | ||||
\(217\) | 5.90798 | − | 1.69512i | 0.401060 | − | 0.115073i | ||||
\(218\) | −17.4685 | − | 8.41239i | −1.18312 | − | 0.569759i | ||||
\(219\) | −38.4413 | − | 18.5124i | −2.59762 | − | 1.25095i | ||||
\(220\) | 1.02993 | + | 4.51242i | 0.0694378 | + | 0.304227i | ||||
\(221\) | −3.28586 | − | 14.3963i | −0.221031 | − | 0.968400i | ||||
\(222\) | 10.1691 | + | 4.89719i | 0.682507 | + | 0.328678i | ||||
\(223\) | −17.5896 | − | 8.47072i | −1.17789 | − | 0.567241i | −0.260593 | − | 0.965449i | \(-0.583918\pi\) |
−0.917295 | + | 0.398207i | \(0.869632\pi\) | |||||||
\(224\) | −1.97469 | + | 1.76085i | −0.131940 | + | 0.117652i | ||||
\(225\) | −9.11014 | + | 4.38721i | −0.607343 | + | 0.292481i | ||||
\(226\) | 19.6614 | 1.30786 | ||||||||
\(227\) | 17.6118 | 1.16893 | 0.584467 | − | 0.811418i | \(-0.301304\pi\) | ||||
0.584467 | + | 0.811418i | \(0.301304\pi\) | |||||||
\(228\) | 8.94616 | − | 4.30824i | 0.592474 | − | 0.285320i | ||||
\(229\) | 5.23904 | + | 6.56954i | 0.346205 | + | 0.434128i | 0.924198 | − | 0.381914i | \(-0.124735\pi\) |
−0.577992 | + | 0.816042i | \(0.696164\pi\) | |||||||
\(230\) | −0.525211 | − | 2.30110i | −0.0346314 | − | 0.151730i | ||||
\(231\) | 12.5245 | + | 8.90704i | 0.824051 | + | 0.586040i | ||||
\(232\) | 0.611169 | − | 2.67770i | 0.0401252 | − | 0.175800i | ||||
\(233\) | −11.7027 | + | 5.63572i | −0.766669 | + | 0.369208i | −0.775987 | − | 0.630748i | \(-0.782748\pi\) |
0.00931876 | + | 0.999957i | \(0.497034\pi\) | |||||||
\(234\) | −3.21402 | + | 14.0815i | −0.210107 | + | 0.920538i | ||||
\(235\) | 3.33229 | + | 4.17856i | 0.217375 | + | 0.272579i | ||||
\(236\) | −0.382564 | − | 1.67612i | −0.0249028 | − | 0.109106i | ||||
\(237\) | 2.33052 | − | 2.92237i | 0.151383 | − | 0.189829i | ||||
\(238\) | −9.28995 | − | 16.8520i | −0.602178 | − | 1.09236i | ||||
\(239\) | 6.10413 | + | 7.65433i | 0.394843 | + | 0.495118i | 0.939025 | − | 0.343850i | \(-0.111731\pi\) |
−0.544182 | + | 0.838968i | \(0.683160\pi\) | |||||||
\(240\) | −5.02466 | + | 6.30072i | −0.324340 | + | 0.406710i | ||||
\(241\) | 18.5996 | + | 8.95708i | 1.19810 | + | 0.576976i | 0.923135 | − | 0.384477i | \(-0.125618\pi\) |
0.274969 | + | 0.961453i | \(0.411332\pi\) | |||||||
\(242\) | −4.77832 | + | 5.99182i | −0.307162 | + | 0.385169i | ||||
\(243\) | −5.60926 | + | 24.5758i | −0.359834 | + | 1.57654i | ||||
\(244\) | 8.59578 | 0.550288 | ||||||||
\(245\) | −2.02427 | + | 17.6223i | −0.129326 | + | 1.12585i | ||||
\(246\) | 21.6723 | 1.38177 | ||||||||
\(247\) | 1.41054 | − | 6.18000i | 0.0897508 | − | 0.393224i | ||||
\(248\) | 1.44843 | − | 1.81628i | 0.0919755 | − | 0.115334i | ||||
\(249\) | 29.7855 | + | 14.3439i | 1.88758 | + | 0.909010i | ||||
\(250\) | 5.65411 | − | 7.09003i | 0.357597 | − | 0.448413i | ||||
\(251\) | 5.65748 | + | 7.09426i | 0.357097 | + | 0.447786i | 0.927636 | − | 0.373485i | \(-0.121837\pi\) |
−0.570539 | + | 0.821270i | \(0.693266\pi\) | |||||||
\(252\) | 1.03500 | + | 18.7938i | 0.0651986 | + | 1.18390i | ||||
\(253\) | −1.06073 | + | 1.33011i | −0.0666875 | + | 0.0836234i | ||||
\(254\) | 2.48588 | + | 10.8914i | 0.155978 | + | 0.683384i | ||||
\(255\) | −36.5452 | − | 45.8263i | −2.28855 | − | 2.86975i | ||||
\(256\) | −0.222521 | + | 0.974928i | −0.0139076 | + | 0.0609330i | ||||
\(257\) | 3.44531 | − | 1.65917i | 0.214912 | − | 0.103496i | −0.323331 | − | 0.946286i | \(-0.604803\pi\) |
0.538243 | + | 0.842790i | \(0.319088\pi\) | |||||||
\(258\) | 5.51679 | − | 24.1706i | 0.343460 | − | 1.50480i | ||||
\(259\) | 7.00824 | − | 6.24929i | 0.435471 | − | 0.388312i | ||||
\(260\) | 1.14482 | + | 5.01578i | 0.0709987 | + | 0.311065i | ||||
\(261\) | −12.1827 | − | 15.2766i | −0.754089 | − | 0.945598i | ||||
\(262\) | 0.818173 | − | 0.394012i | 0.0505469 | − | 0.0243421i | ||||
\(263\) | −29.7763 | −1.83609 | −0.918044 | − | 0.396479i | \(-0.870232\pi\) | ||||
−0.918044 | + | 0.396479i | \(0.870232\pi\) | |||||||
\(264\) | 5.80884 | 0.357509 | ||||||||
\(265\) | −7.90186 | + | 3.80534i | −0.485408 | + | 0.233760i | ||||
\(266\) | −0.454232 | − | 8.24809i | −0.0278507 | − | 0.505723i | ||||
\(267\) | −29.4604 | − | 14.1874i | −1.80295 | − | 0.868255i | ||||
\(268\) | −7.36904 | − | 3.54874i | −0.450136 | − | 0.216774i | ||||
\(269\) | 2.65415 | + | 11.6286i | 0.161826 | + | 0.709006i | 0.989105 | + | 0.147214i | \(0.0470307\pi\) |
−0.827279 | + | 0.561792i | \(0.810112\pi\) | |||||||
\(270\) | 7.37783 | + | 32.3244i | 0.449001 | + | 1.96720i | ||||
\(271\) | 9.94786 | + | 4.79064i | 0.604290 | + | 0.291011i | 0.710903 | − | 0.703290i | \(-0.248286\pi\) |
−0.106613 | + | 0.994301i | \(0.534001\pi\) | |||||||
\(272\) | −6.55291 | − | 3.15572i | −0.397329 | − | 0.191343i | ||||
\(273\) | 13.9216 | + | 9.90062i | 0.842574 | + | 0.599213i | ||||
\(274\) | 10.1661 | − | 4.89572i | 0.614155 | − | 0.295761i | ||||
\(275\) | 2.59607 | 0.156549 | ||||||||
\(276\) | −2.96221 | −0.178304 | ||||||||
\(277\) | 19.6155 | − | 9.44632i | 1.17858 | − | 0.567574i | 0.261083 | − | 0.965316i | \(-0.415920\pi\) |
0.917497 | + | 0.397742i | \(0.130206\pi\) | |||||||
\(278\) | −10.3356 | − | 12.9605i | −0.619890 | − | 0.777317i | ||||
\(279\) | −3.67759 | − | 16.1126i | −0.220171 | − | 0.964634i | ||||
\(280\) | 3.23669 | + | 5.87138i | 0.193429 | + | 0.350882i | ||||
\(281\) | −1.81930 | + | 7.97087i | −0.108530 | + | 0.475502i | 0.891229 | + | 0.453554i | \(0.149844\pi\) |
−0.999759 | + | 0.0219482i | \(0.993013\pi\) | |||||||
\(282\) | 6.04332 | − | 2.91031i | 0.359875 | − | 0.173307i | ||||
\(283\) | −3.51601 | + | 15.4047i | −0.209005 | + | 0.915712i | 0.756225 | + | 0.654312i | \(0.227042\pi\) |
−0.965230 | + | 0.261401i | \(0.915816\pi\) | |||||||
\(284\) | −1.95971 | − | 2.45740i | −0.116288 | − | 0.145820i | ||||
\(285\) | −5.59899 | − | 24.5308i | −0.331656 | − | 1.45308i | ||||
\(286\) | 2.31211 | − | 2.89929i | 0.136718 | − | 0.171439i | ||||
\(287\) | 6.91772 | − | 16.6498i | 0.408340 | − | 0.982805i | ||||
\(288\) | 4.43560 | + | 5.56207i | 0.261371 | + | 0.327748i | ||||
\(289\) | 22.3828 | − | 28.0671i | 1.31663 | − | 1.65101i | ||||
\(290\) | −6.27064 | − | 3.01978i | −0.368225 | − | 0.177328i | ||||
\(291\) | 1.22231 | − | 1.53272i | 0.0716529 | − | 0.0898499i | ||||
\(292\) | −2.98534 | + | 13.0796i | −0.174704 | + | 0.765428i | ||||
\(293\) | 21.5665 | 1.25993 | 0.629964 | − | 0.776625i | \(-0.283070\pi\) | ||||
0.629964 | + | 0.776625i | \(0.283070\pi\) | |||||||
\(294\) | 20.9967 | + | 7.39820i | 1.22455 | + | 0.431472i | ||||
\(295\) | −4.35658 | −0.253650 | ||||||||
\(296\) | 0.789732 | − | 3.46004i | 0.0459022 | − | 0.201111i | ||||
\(297\) | 14.9005 | − | 18.6846i | 0.864612 | − | 1.08419i | ||||
\(298\) | −0.742720 | − | 0.357675i | −0.0430246 | − | 0.0207196i | ||||
\(299\) | −1.17905 | + | 1.47849i | −0.0681865 | + | 0.0855031i | ||||
\(300\) | 2.81829 | + | 3.53403i | 0.162714 | + | 0.204037i | ||||
\(301\) | −16.8082 | − | 11.9535i | −0.968809 | − | 0.688988i | ||||
\(302\) | −5.93539 | + | 7.44274i | −0.341543 | + | 0.428282i | ||||
\(303\) | 6.38541 | + | 27.9763i | 0.366832 | + | 1.60720i | ||||
\(304\) | −1.94667 | − | 2.44104i | −0.111649 | − | 0.140003i | ||||
\(305\) | 4.84695 | − | 21.2359i | 0.277535 | − | 1.21596i | ||||
\(306\) | −46.6184 | + | 22.4503i | −2.66500 | + | 1.28340i | ||||
\(307\) | −6.18817 | + | 27.1121i | −0.353177 | + | 1.54737i | 0.416619 | + | 0.909081i | \(0.363215\pi\) |
−0.769796 | + | 0.638290i | \(0.779642\pi\) | |||||||
\(308\) | 1.85416 | − | 4.46266i | 0.105651 | − | 0.254283i | ||||
\(309\) | 7.37031 | + | 32.2914i | 0.419282 | + | 1.83700i | ||||
\(310\) | −3.67037 | − | 4.60250i | −0.208463 | − | 0.261405i | ||||
\(311\) | 27.3746 | − | 13.1829i | 1.55227 | − | 0.747535i | 0.555789 | − | 0.831324i | \(-0.312416\pi\) |
0.996484 | + | 0.0837886i | \(0.0267021\pi\) | |||||||
\(312\) | 6.45682 | 0.365545 | ||||||||
\(313\) | −18.4577 | −1.04329 | −0.521647 | − | 0.853162i | \(-0.674682\pi\) | ||||
−0.521647 | + | 0.853162i | \(0.674682\pi\) | |||||||
\(314\) | −11.4726 | + | 5.52491i | −0.647436 | + | 0.311789i | ||||
\(315\) | 47.0137 | + | 8.04041i | 2.64892 | + | 0.453026i | ||||
\(316\) | −1.05893 | − | 0.509954i | −0.0595695 | − | 0.0286872i | ||||
\(317\) | −8.12773 | − | 3.91411i | −0.456499 | − | 0.219838i | 0.191480 | − | 0.981496i | \(-0.438671\pi\) |
−0.647979 | + | 0.761658i | \(0.724386\pi\) | |||||||
\(318\) | 2.44931 | + | 10.7311i | 0.137350 | + | 0.601771i | ||||
\(319\) | 1.11631 | + | 4.89088i | 0.0625015 | + | 0.273837i | ||||
\(320\) | 2.28308 | + | 1.09948i | 0.127628 | + | 0.0614625i | ||||
\(321\) | −2.97507 | − | 1.43272i | −0.166052 | − | 0.0799666i | ||||
\(322\) | −0.945528 | + | 2.27572i | −0.0526922 | + | 0.126821i | ||||
\(323\) | 20.4596 | − | 9.85281i | 1.13840 | − | 0.548225i | ||||
\(324\) | 20.2688 | 1.12604 | ||||||||
\(325\) | 2.88566 | 0.160068 | ||||||||
\(326\) | 1.04640 | − | 0.503921i | 0.0579549 | − | 0.0279096i | ||||
\(327\) | 38.4450 | + | 48.2085i | 2.12601 | + | 2.66594i | ||||
\(328\) | −1.51639 | − | 6.64373i | −0.0837285 | − | 0.366839i | ||||
\(329\) | −0.306843 | − | 5.57176i | −0.0169168 | − | 0.307181i | ||||
\(330\) | 3.27546 | − | 14.3507i | 0.180308 | − | 0.789982i | ||||
\(331\) | −5.84493 | + | 2.81477i | −0.321266 | + | 0.154714i | −0.587565 | − | 0.809177i | \(-0.699913\pi\) |
0.266299 | + | 0.963890i | \(0.414199\pi\) | |||||||
\(332\) | 2.31313 | − | 10.1345i | 0.126950 | − | 0.556203i | ||||
\(333\) | −15.7421 | − | 19.7399i | −0.862660 | − | 1.08174i | ||||
\(334\) | 4.77807 | + | 20.9341i | 0.261444 | + | 1.14546i | ||||
\(335\) | −12.9224 | + | 16.2042i | −0.706025 | + | 0.885327i | ||||
\(336\) | 8.08789 | − | 2.32059i | 0.441231 | − | 0.126598i | ||||
\(337\) | −8.64107 | − | 10.8356i | −0.470709 | − | 0.590250i | 0.488636 | − | 0.872488i | \(-0.337495\pi\) |
−0.959345 | + | 0.282238i | \(0.908923\pi\) | |||||||
\(338\) | −5.53534 | + | 6.94110i | −0.301083 | + | 0.377546i | ||||
\(339\) | −56.3365 | − | 27.1302i | −3.05978 | − | 1.47351i | ||||
\(340\) | −11.4912 | + | 14.4095i | −0.623199 | + | 0.781466i | ||||
\(341\) | −0.944200 | + | 4.13681i | −0.0511313 | + | 0.224021i | ||||
\(342\) | −22.2119 | −1.20108 | ||||||||
\(343\) | 12.3858 | − | 13.7693i | 0.668769 | − | 0.743471i | ||||
\(344\) | −7.79562 | −0.420312 | ||||||||
\(345\) | −1.67032 | + | 7.31813i | −0.0899267 | + | 0.393995i | ||||
\(346\) | 9.39019 | − | 11.7749i | 0.504820 | − | 0.633024i | ||||
\(347\) | −5.35651 | − | 2.57956i | −0.287552 | − | 0.138478i | 0.284547 | − | 0.958662i | \(-0.408157\pi\) |
−0.572100 | + | 0.820184i | \(0.693871\pi\) | |||||||
\(348\) | −5.44608 | + | 6.82917i | −0.291941 | + | 0.366082i | ||||
\(349\) | −12.4234 | − | 15.5785i | −0.665012 | − | 0.833898i | 0.328867 | − | 0.944376i | \(-0.393333\pi\) |
−0.993879 | + | 0.110478i | \(0.964762\pi\) | |||||||
\(350\) | 3.61462 | − | 1.03711i | 0.193209 | − | 0.0554359i | ||||
\(351\) | 16.5626 | − | 20.7689i | 0.884047 | − | 1.10856i | ||||
\(352\) | −0.406439 | − | 1.78073i | −0.0216633 | − | 0.0949130i | ||||
\(353\) | −2.17739 | − | 2.73036i | −0.115891 | − | 0.145323i | 0.720502 | − | 0.693453i | \(-0.243911\pi\) |
−0.836393 | + | 0.548130i | \(0.815340\pi\) | |||||||
\(354\) | −1.21666 | + | 5.33054i | −0.0646648 | + | 0.283315i | ||||
\(355\) | −7.17604 | + | 3.45580i | −0.380865 | + | 0.183415i | ||||
\(356\) | −2.28789 | + | 10.0239i | −0.121258 | + | 0.531266i | ||||
\(357\) | 3.36515 | + | 61.1056i | 0.178103 | + | 3.23405i | ||||
\(358\) | 3.20401 | + | 14.0377i | 0.169337 | + | 0.741914i | ||||
\(359\) | −14.0863 | − | 17.6636i | −0.743444 | − | 0.932250i | 0.255963 | − | 0.966687i | \(-0.417608\pi\) |
−0.999407 | + | 0.0344371i | \(0.989036\pi\) | |||||||
\(360\) | 16.2422 | − | 7.82184i | 0.856040 | − | 0.412247i | ||||
\(361\) | −9.25181 | −0.486937 | ||||||||
\(362\) | 9.67523 | 0.508519 | ||||||||
\(363\) | 21.9594 | − | 10.5751i | 1.15257 | − | 0.555048i | ||||
\(364\) | 2.06100 | − | 4.96047i | 0.108026 | − | 0.259999i | ||||
\(365\) | 30.6299 | + | 14.7506i | 1.60324 | + | 0.772080i | ||||
\(366\) | −24.6297 | − | 11.8611i | −1.28742 | − | 0.619988i | ||||
\(367\) | −1.58735 | − | 6.95465i | −0.0828591 | − | 0.363030i | 0.916452 | − | 0.400145i | \(-0.131040\pi\) |
−0.999311 | + | 0.0371154i | \(0.988183\pi\) | |||||||
\(368\) | 0.207263 | + | 0.908078i | 0.0108043 | + | 0.0473368i | ||||
\(369\) | −43.6790 | − | 21.0347i | −2.27384 | − | 1.09502i | ||||
\(370\) | −8.10272 | − | 3.90206i | −0.421240 | − | 0.202859i | ||||
\(371\) | 9.02602 | + | 1.54365i | 0.468608 | + | 0.0801425i | ||||
\(372\) | −6.65646 | + | 3.20558i | −0.345121 | + | 0.166202i | ||||
\(373\) | 5.60689 | 0.290314 | 0.145157 | − | 0.989409i | \(-0.453631\pi\) | ||||
0.145157 | + | 0.989409i | \(0.453631\pi\) | |||||||
\(374\) | 13.2846 | 0.686931 | ||||||||
\(375\) | −25.9842 | + | 12.5133i | −1.34182 | + | 0.646186i | ||||
\(376\) | −1.31501 | − | 1.64898i | −0.0678167 | − | 0.0850395i | ||||
\(377\) | 1.24084 | + | 5.43646i | 0.0639064 | + | 0.279992i | ||||
\(378\) | 13.2822 | − | 31.9679i | 0.683162 | − | 1.64425i | ||||
\(379\) | 3.38173 | − | 14.8163i | 0.173708 | − | 0.761064i | −0.810743 | − | 0.585403i | \(-0.800936\pi\) |
0.984451 | − | 0.175661i | \(-0.0562064\pi\) | |||||||
\(380\) | −7.12827 | + | 3.43279i | −0.365672 | + | 0.176099i | ||||
\(381\) | 7.90579 | − | 34.6375i | 0.405026 | − | 1.77453i | ||||
\(382\) | −10.8702 | − | 13.6308i | −0.556169 | − | 0.697414i | ||||
\(383\) | 2.75915 | + | 12.0886i | 0.140986 | + | 0.617699i | 0.995207 | + | 0.0977896i | \(0.0311772\pi\) |
−0.854221 | + | 0.519910i | \(0.825966\pi\) | |||||||
\(384\) | 1.98287 | − | 2.48644i | 0.101188 | − | 0.126886i | ||||
\(385\) | −9.97947 | − | 7.09709i | −0.508601 | − | 0.361701i | ||||
\(386\) | −4.47250 | − | 5.60834i | −0.227644 | − | 0.285457i | ||||
\(387\) | −34.5783 | + | 43.3598i | −1.75771 | + | 2.20410i | ||||
\(388\) | −0.555387 | − | 0.267460i | −0.0281955 | − | 0.0135782i | ||||
\(389\) | −3.04139 | + | 3.81378i | −0.154205 | + | 0.193366i | −0.852933 | − | 0.522021i | \(-0.825178\pi\) |
0.698728 | + | 0.715387i | \(0.253750\pi\) | |||||||
\(390\) | 3.64084 | − | 15.9516i | 0.184361 | − | 0.807739i | ||||
\(391\) | −6.77447 | −0.342599 | ||||||||
\(392\) | 0.798835 | − | 6.95427i | 0.0403472 | − | 0.351244i | ||||
\(393\) | −2.88802 | −0.145681 | ||||||||
\(394\) | 4.23073 | − | 18.5360i | 0.213141 | − | 0.933831i | ||||
\(395\) | −1.85695 | + | 2.32854i | −0.0934331 | + | 0.117161i | ||||
\(396\) | −11.7073 | − | 5.63795i | −0.588315 | − | 0.283318i | ||||
\(397\) | −0.943418 | + | 1.18301i | −0.0473488 | + | 0.0593735i | −0.804942 | − | 0.593353i | \(-0.797804\pi\) |
0.757593 | + | 0.652727i | \(0.226375\pi\) | |||||||
\(398\) | −3.07025 | − | 3.84998i | −0.153898 | − | 0.192982i | ||||
\(399\) | −10.0798 | + | 24.2603i | −0.504620 | + | 1.21453i | ||||
\(400\) | 0.886178 | − | 1.11123i | 0.0443089 | − | 0.0555616i | ||||
\(401\) | 1.90640 | + | 8.35248i | 0.0952010 | + | 0.417103i | 0.999961 | − | 0.00881871i | \(-0.00280712\pi\) |
−0.904760 | + | 0.425921i | \(0.859950\pi\) | |||||||
\(402\) | 16.2179 | + | 20.3366i | 0.808877 | + | 1.01430i | ||||
\(403\) | −1.04953 | + | 4.59828i | −0.0522806 | + | 0.229056i | ||||
\(404\) | 8.12948 | − | 3.91495i | 0.404457 | − | 0.194776i | ||||
\(405\) | 11.4291 | − | 50.0740i | 0.567914 | − | 2.48819i | ||||
\(406\) | 3.50816 | + | 6.36382i | 0.174107 | + | 0.315831i | ||||
\(407\) | 1.44246 | + | 6.31984i | 0.0715002 | + | 0.313263i | ||||
\(408\) | 14.4218 | + | 18.0843i | 0.713984 | + | 0.895308i | ||||
\(409\) | 8.08728 | − | 3.89463i | 0.399890 | − | 0.192577i | −0.223120 | − | 0.974791i | \(-0.571624\pi\) |
0.623010 | + | 0.782214i | \(0.285910\pi\) | |||||||
\(410\) | −17.2684 | −0.852824 | ||||||||
\(411\) | −35.8846 | −1.77006 | ||||||||
\(412\) | 9.38339 | − | 4.51880i | 0.462286 | − | 0.222625i | ||||
\(413\) | 3.70685 | + | 2.63620i | 0.182402 | + | 0.129719i | ||||
\(414\) | 5.97013 | + | 2.87506i | 0.293416 | + | 0.141302i | ||||
\(415\) | −23.7330 | − | 11.4292i | −1.16501 | − | 0.561037i | ||||
\(416\) | −0.451778 | − | 1.97937i | −0.0221502 | − | 0.0970465i | ||||
\(417\) | 11.7312 | + | 51.3979i | 0.574481 | + | 2.51696i | ||||
\(418\) | 5.13803 | + | 2.47434i | 0.251309 | + | 0.121024i | ||||
\(419\) | 9.18611 | + | 4.42380i | 0.448771 | + | 0.216117i | 0.644598 | − | 0.764522i | \(-0.277025\pi\) |
−0.195827 | + | 0.980638i | \(0.562739\pi\) | |||||||
\(420\) | −1.17244 | − | 21.2896i | −0.0572094 | − | 1.03883i | ||||
\(421\) | −32.4239 | + | 15.6146i | −1.58025 | + | 0.761007i | −0.998623 | − | 0.0524518i | \(-0.983296\pi\) |
−0.581623 | + | 0.813458i | \(0.697582\pi\) | |||||||
\(422\) | −4.92329 | −0.239662 | ||||||||
\(423\) | −15.0046 | −0.729549 | ||||||||
\(424\) | 3.11830 | − | 1.50169i | 0.151438 | − | 0.0729286i | ||||
\(425\) | 6.44534 | + | 8.08220i | 0.312645 | + | 0.392044i | ||||
\(426\) | 2.22433 | + | 9.74542i | 0.107769 | + | 0.472167i | ||||
\(427\) | −16.9740 | + | 15.1359i | −0.821431 | + | 0.732475i | ||||
\(428\) | −0.231043 | + | 1.01227i | −0.0111679 | + | 0.0489298i | ||||
\(429\) | −10.6256 | + | 5.11701i | −0.513008 | + | 0.247052i | ||||
\(430\) | −4.39576 | + | 19.2591i | −0.211982 | + | 0.928755i | ||||
\(431\) | 25.5246 | + | 32.0068i | 1.22947 | + | 1.54171i | 0.745278 | + | 0.666754i | \(0.232317\pi\) |
0.484197 | + | 0.874959i | \(0.339112\pi\) | |||||||
\(432\) | −2.91150 | − | 12.7561i | −0.140080 | − | 0.613729i | ||||
\(433\) | −8.37313 | + | 10.4996i | −0.402387 | + | 0.504577i | −0.941201 | − | 0.337848i | \(-0.890301\pi\) |
0.538814 | + | 0.842425i | \(0.318873\pi\) | |||||||
\(434\) | 0.337975 | + | 6.13706i | 0.0162233 | + | 0.294588i | ||||
\(435\) | 13.8006 | + | 17.3053i | 0.661686 | + | 0.829728i | ||||
\(436\) | 12.0886 | − | 15.1586i | 0.578938 | − | 0.725965i | ||||
\(437\) | −2.62013 | − | 1.26179i | −0.125338 | − | 0.0603595i | ||||
\(438\) | 26.6022 | − | 33.3581i | 1.27110 | − | 1.59391i | ||||
\(439\) | 6.34595 | − | 27.8034i | 0.302876 | − | 1.32698i | −0.562889 | − | 0.826533i | \(-0.690310\pi\) |
0.865764 | − | 0.500452i | \(-0.166833\pi\) | |||||||
\(440\) | −4.62846 | −0.220653 | ||||||||
\(441\) | −35.1368 | − | 35.2896i | −1.67318 | − | 1.68046i | ||||
\(442\) | 14.7665 | 0.702372 | ||||||||
\(443\) | 6.23042 | − | 27.2973i | 0.296016 | − | 1.29693i | −0.579986 | − | 0.814626i | \(-0.696942\pi\) |
0.876003 | − | 0.482306i | \(-0.160201\pi\) | |||||||
\(444\) | −7.03725 | + | 8.82444i | −0.333973 | + | 0.418789i | ||||
\(445\) | 23.4740 | + | 11.3045i | 1.11277 | + | 0.535883i | ||||
\(446\) | 12.1724 | − | 15.2637i | 0.576380 | − | 0.722758i | ||||
\(447\) | 1.63459 | + | 2.04972i | 0.0773136 | + | 0.0969482i | ||||
\(448\) | −1.27729 | − | 2.31701i | −0.0603462 | − | 0.109468i | ||||
\(449\) | −15.8533 | + | 19.8794i | −0.748163 | + | 0.938167i | −0.999558 | − | 0.0297176i | \(-0.990539\pi\) |
0.251395 | + | 0.967885i | \(0.419111\pi\) | |||||||
\(450\) | −2.25002 | − | 9.85798i | −0.106067 | − | 0.464710i | ||||
\(451\) | 7.76056 | + | 9.73144i | 0.365431 | + | 0.458236i | ||||
\(452\) | −4.37508 | + | 19.1685i | −0.205787 | + | 0.901610i | ||||
\(453\) | 27.2769 | − | 13.1358i | 1.28158 | − | 0.617176i | ||||
\(454\) | −3.91899 | + | 17.1702i | −0.183927 | + | 0.805837i | ||||
\(455\) | −11.0927 | − | 7.88878i | −0.520033 | − | 0.369832i | ||||
\(456\) | 2.20952 | + | 9.68054i | 0.103470 | + | 0.453333i | ||||
\(457\) | 1.77923 | + | 2.23108i | 0.0832289 | + | 0.104366i | 0.821703 | − | 0.569917i | \(-0.193025\pi\) |
−0.738474 | + | 0.674282i | \(0.764453\pi\) | |||||||
\(458\) | −7.57063 | + | 3.64582i | −0.353752 | + | 0.170358i | ||||
\(459\) | 95.1635 | 4.44185 | ||||||||
\(460\) | 2.36028 | 0.110048 | ||||||||
\(461\) | 9.30084 | − | 4.47905i | 0.433183 | − | 0.208610i | −0.204568 | − | 0.978852i | \(-0.565579\pi\) |
0.637751 | + | 0.770242i | \(0.279865\pi\) | |||||||
\(462\) | −11.4707 | + | 10.2285i | −0.533664 | + | 0.475872i | ||||
\(463\) | 23.8596 | + | 11.4902i | 1.10885 | + | 0.533994i | 0.896430 | − | 0.443184i | \(-0.146151\pi\) |
0.212420 | + | 0.977179i | \(0.431866\pi\) | |||||||
\(464\) | 2.47457 | + | 1.19169i | 0.114879 | + | 0.0553228i | ||||
\(465\) | 4.16597 | + | 18.2523i | 0.193192 | + | 0.846431i | ||||
\(466\) | −2.89033 | − | 12.6633i | −0.133892 | − | 0.586618i | ||||
\(467\) | 3.65054 | + | 1.75801i | 0.168927 | + | 0.0813509i | 0.516436 | − | 0.856326i | \(-0.327258\pi\) |
−0.347510 | + | 0.937676i | \(0.612973\pi\) | |||||||
\(468\) | −13.0133 | − | 6.26687i | −0.601540 | − | 0.289686i | ||||
\(469\) | 20.8004 | − | 5.96807i | 0.960473 | − | 0.275580i | ||||
\(470\) | −4.81530 | + | 2.31893i | −0.222113 | + | 0.106964i | ||||
\(471\) | 40.4964 | 1.86598 | ||||||||
\(472\) | 1.71923 | 0.0791339 | ||||||||
\(473\) | 12.8288 | − | 6.17801i | 0.589867 | − | 0.284065i | ||||
\(474\) | 2.33052 | + | 2.92237i | 0.107044 | + | 0.134229i | ||||
\(475\) | 0.987472 | + | 4.32640i | 0.0453083 | + | 0.198509i | ||||
\(476\) | 18.4967 | − | 5.30710i | 0.847796 | − | 0.243251i | ||||
\(477\) | 5.47901 | − | 24.0051i | 0.250867 | − | 1.09912i | ||||
\(478\) | −8.82072 | + | 4.24783i | −0.403450 | + | 0.194291i | ||||
\(479\) | −1.53247 | + | 6.71420i | −0.0700204 | + | 0.306779i | −0.997796 | − | 0.0663598i | \(-0.978861\pi\) |
0.927775 | + | 0.373139i | \(0.121719\pi\) | |||||||
\(480\) | −5.02466 | − | 6.30072i | −0.229343 | − | 0.287587i | ||||
\(481\) | 1.60337 | + | 7.02482i | 0.0731074 | + | 0.320304i | ||||
\(482\) | −12.8713 | + | 16.1401i | −0.586272 | + | 0.735162i | ||||
\(483\) | 5.84945 | − | 5.21599i | 0.266159 | − | 0.237336i | ||||
\(484\) | −4.77832 | − | 5.99182i | −0.217196 | − | 0.272355i | ||||
\(485\) | −0.973929 | + | 1.22127i | −0.0442238 | + | 0.0554549i | ||||
\(486\) | −22.7114 | − | 10.9373i | −1.03021 | − | 0.496124i | ||||
\(487\) | −19.6445 | + | 24.6334i | −0.890178 | + | 1.11625i | 0.102413 | + | 0.994742i | \(0.467344\pi\) |
−0.992591 | + | 0.121506i | \(0.961228\pi\) | |||||||
\(488\) | −1.91274 | + | 8.38027i | −0.0865857 | + | 0.379357i | ||||
\(489\) | −3.69364 | −0.167032 | ||||||||
\(490\) | −16.7301 | − | 5.89486i | −0.755788 | − | 0.266303i | ||||
\(491\) | −5.61128 | −0.253234 | −0.126617 | − | 0.991952i | \(-0.540412\pi\) | ||||
−0.126617 | + | 0.991952i | \(0.540412\pi\) | |||||||
\(492\) | −4.82253 | + | 21.1289i | −0.217417 | + | 0.952564i | ||||
\(493\) | −12.4550 | + | 15.6181i | −0.560945 | + | 0.703403i | ||||
\(494\) | 5.71118 | + | 2.75036i | 0.256958 | + | 0.123744i | ||||
\(495\) | −20.5300 | + | 25.7438i | −0.922756 | + | 1.15710i | ||||
\(496\) | 1.44843 | + | 1.81628i | 0.0650365 | + | 0.0815532i | ||||
\(497\) | 8.19694 | + | 1.40186i | 0.367683 | + | 0.0628822i | ||||
\(498\) | −20.6122 | + | 25.8469i | −0.923655 | + | 1.15823i | ||||
\(499\) | −6.24844 | − | 27.3762i | −0.279719 | − | 1.22553i | −0.898150 | − | 0.439689i | \(-0.855089\pi\) |
0.618431 | − | 0.785839i | \(-0.287769\pi\) | |||||||
\(500\) | 5.65411 | + | 7.09003i | 0.252860 | + | 0.317076i | ||||
\(501\) | 15.1956 | − | 66.5762i | 0.678888 | − | 2.97440i | ||||
\(502\) | −8.17530 | + | 3.93702i | −0.364882 | + | 0.175718i | ||||
\(503\) | 0.894055 | − | 3.91711i | 0.0398639 | − | 0.174655i | −0.951077 | − | 0.308954i | \(-0.900021\pi\) |
0.990941 | + | 0.134299i | \(0.0428782\pi\) | |||||||
\(504\) | −18.5529 | − | 3.17297i | −0.826413 | − | 0.141335i | ||||
\(505\) | −5.08787 | − | 22.2914i | −0.226407 | − | 0.991954i | ||||
\(506\) | −1.06073 | − | 1.33011i | −0.0471552 | − | 0.0591307i | ||||
\(507\) | 25.4384 | − | 12.2505i | 1.12976 | − | 0.544063i | ||||
\(508\) | −11.1714 | −0.495653 | ||||||||
\(509\) | 11.3267 | 0.502049 | 0.251025 | − | 0.967981i | \(-0.419233\pi\) | ||||
0.251025 | + | 0.967981i | \(0.419233\pi\) | |||||||
\(510\) | 52.8094 | − | 25.4317i | 2.33844 | − | 1.12613i | ||||
\(511\) | −17.1361 | − | 31.0850i | −0.758057 | − | 1.37512i | ||||
\(512\) | −0.900969 | − | 0.433884i | −0.0398176 | − | 0.0191751i | ||||
\(513\) | 36.8059 | + | 17.7248i | 1.62502 | + | 0.782569i | ||||
\(514\) | 0.850920 | + | 3.72813i | 0.0375325 | + | 0.164441i | ||||
\(515\) | −5.87263 | − | 25.7297i | −0.258779 | − | 1.13379i | ||||
\(516\) | 22.3370 | + | 10.7569i | 0.983333 | + | 0.473548i | ||||
\(517\) | 3.47085 | + | 1.67147i | 0.152648 | + | 0.0735113i | ||||
\(518\) | 4.53313 | + | 8.22312i | 0.199174 | + | 0.361303i | ||||
\(519\) | −43.1538 | + | 20.7818i | −1.89424 | + | 0.912220i | ||||
\(520\) | −5.14477 | −0.225613 | ||||||||
\(521\) | −21.1144 | −0.925040 | −0.462520 | − | 0.886609i | \(-0.653055\pi\) | ||||
−0.462520 | + | 0.886609i | \(0.653055\pi\) | |||||||
\(522\) | 17.6045 | − | 8.47787i | 0.770527 | − | 0.371066i | ||||
\(523\) | −27.3377 | − | 34.2804i | −1.19539 | − | 1.49898i | −0.820245 | − | 0.572012i | \(-0.806163\pi\) |
−0.375149 | − | 0.926965i | \(-0.622408\pi\) | |||||||
\(524\) | 0.202072 | + | 0.885336i | 0.00882756 | + | 0.0386761i | ||||
\(525\) | −11.7881 | − | 2.01604i | −0.514477 | − | 0.0879872i | ||||
\(526\) | 6.62586 | − | 29.0298i | 0.288901 | − | 1.26576i | ||||
\(527\) | −15.2231 | + | 7.33106i | −0.663128 | + | 0.319346i | ||||
\(528\) | −1.29259 | + | 5.66320i | −0.0562527 | + | 0.246459i | ||||
\(529\) | −13.7993 | − | 17.3038i | −0.599972 | − | 0.752341i | ||||
\(530\) | −1.95160 | − | 8.55051i | −0.0847720 | − | 0.371411i | ||||
\(531\) | 7.62582 | − | 9.56247i | 0.330932 | − | 0.414976i | ||||
\(532\) | 8.14237 | + | 1.39253i | 0.353017 | + | 0.0603738i | ||||
\(533\) | 8.62626 | + | 10.8170i | 0.373645 | + | 0.468536i | ||||
\(534\) | 20.3873 | − | 25.5648i | 0.882243 | − | 1.10630i | ||||
\(535\) | 2.37053 | + | 1.14159i | 0.102487 | + | 0.0493550i | ||||
\(536\) | 5.09953 | − | 6.39461i | 0.220266 | − | 0.276205i | ||||
\(537\) | 10.1896 | − | 44.6437i | 0.439715 | − | 1.92652i | ||||
\(538\) | −11.9276 | −0.514236 | ||||||||
\(539\) | 4.19665 | + | 12.0773i | 0.180762 | + | 0.520205i | ||||
\(540\) | −33.1557 | −1.42679 | ||||||||
\(541\) | −4.64957 | + | 20.3711i | −0.199901 | + | 0.875822i | 0.771094 | + | 0.636721i | \(0.219710\pi\) |
−0.970995 | + | 0.239101i | \(0.923147\pi\) | |||||||
\(542\) | −6.88414 | + | 8.63243i | −0.295699 | + | 0.370795i | ||||
\(543\) | −27.7227 | − | 13.3506i | −1.18970 | − | 0.572928i | ||||
\(544\) | 4.53475 | − | 5.68640i | 0.194426 | − | 0.243803i | ||||
\(545\) | −30.6328 | − | 38.4124i | −1.31217 | − | 1.64541i | ||||
\(546\) | −12.7502 | + | 11.3695i | −0.545660 | + | 0.486569i | ||||
\(547\) | 7.36518 | − | 9.23564i | 0.314912 | − | 0.394888i | −0.599033 | − | 0.800724i | \(-0.704448\pi\) |
0.913946 | + | 0.405836i | \(0.133020\pi\) | |||||||
\(548\) | 2.51081 | + | 11.0006i | 0.107257 | + | 0.469922i | ||||
\(549\) | 38.1275 | + | 47.8103i | 1.62724 | + | 2.04050i | ||||
\(550\) | −0.577680 | + | 2.53098i | −0.0246324 | + | 0.107921i | ||||
\(551\) | −7.72613 | + | 3.72071i | −0.329144 | + | 0.158507i | ||||
\(552\) | 0.659153 | − | 2.88794i | 0.0280554 | − | 0.122919i | ||||
\(553\) | 2.98902 | − | 0.857612i | 0.127106 | − | 0.0364694i | ||||
\(554\) | 4.84462 | + | 21.2257i | 0.205828 | + | 0.901793i | ||||
\(555\) | 17.8326 | + | 22.3614i | 0.756953 | + | 0.949189i | ||||
\(556\) | 14.9354 | − | 7.19252i | 0.633403 | − | 0.305031i | ||||
\(557\) | −19.8831 | −0.842474 | −0.421237 | − | 0.906951i | \(-0.638404\pi\) | ||||
−0.421237 | + | 0.906951i | \(0.638404\pi\) | |||||||
\(558\) | 16.5269 | 0.699641 | ||||||||
\(559\) | 14.2598 | − | 6.86717i | 0.603127 | − | 0.290450i | ||||
\(560\) | −6.44440 | + | 1.84903i | −0.272326 | + | 0.0781360i | ||||
\(561\) | −38.0648 | − | 18.3310i | −1.60710 | − | 0.773937i | ||||
\(562\) | −7.36619 | − | 3.54737i | −0.310724 | − | 0.149637i | ||||
\(563\) | 1.26960 | + | 5.56246i | 0.0535071 | + | 0.234430i | 0.994609 | − | 0.103692i | \(-0.0330656\pi\) |
−0.941102 | + | 0.338122i | \(0.890208\pi\) | |||||||
\(564\) | 1.49258 | + | 6.53941i | 0.0628489 | + | 0.275359i | ||||
\(565\) | 44.8887 | + | 21.6173i | 1.88848 | + | 0.909446i | ||||
\(566\) | −14.2361 | − | 6.85572i | −0.598386 | − | 0.288167i | ||||
\(567\) | −40.0246 | + | 35.6902i | −1.68088 | + | 1.49885i | ||||
\(568\) | 2.83187 | − | 1.36376i | 0.118823 | − | 0.0572219i | ||||
\(569\) | 11.3810 | 0.477117 | 0.238559 | − | 0.971128i | \(-0.423325\pi\) | ||||
0.238559 | + | 0.971128i | \(0.423325\pi\) | |||||||
\(570\) | 25.1616 | 1.05391 | ||||||||
\(571\) | −27.4670 | + | 13.2274i | −1.14946 | + | 0.553551i | −0.908871 | − | 0.417077i | \(-0.863055\pi\) |
−0.240588 | + | 0.970627i | \(0.577340\pi\) | |||||||
\(572\) | 2.31211 | + | 2.89929i | 0.0966740 | + | 0.121225i | ||||
\(573\) | 12.3380 | + | 54.0563i | 0.515427 | + | 2.25823i | ||||
\(574\) | 14.6930 | + | 10.4492i | 0.613274 | + | 0.436141i | ||||
\(575\) | 0.294587 | − | 1.29067i | 0.0122851 | − | 0.0538246i | ||||
\(576\) | −6.40963 | + | 3.08672i | −0.267068 | + | 0.128613i | ||||
\(577\) | 4.13757 | − | 18.1279i | 0.172249 | − | 0.754673i | −0.812820 | − | 0.582515i | \(-0.802069\pi\) |
0.985069 | − | 0.172158i | \(-0.0550741\pi\) | |||||||
\(578\) | 22.3828 | + | 28.0671i | 0.931001 | + | 1.16744i | ||||
\(579\) | 5.07641 | + | 22.2412i | 0.210969 | + | 0.924314i | ||||
\(580\) | 4.33942 | − | 5.44146i | 0.180185 | − | 0.225944i | ||||
\(581\) | 13.2776 | + | 24.0856i | 0.550847 | + | 0.999240i | ||||
\(582\) | 1.22231 | + | 1.53272i | 0.0506662 | + | 0.0635334i | ||||
\(583\) | −3.94150 | + | 4.94248i | −0.163240 | + | 0.204697i | ||||
\(584\) | −12.0874 | − | 5.82099i | −0.500180 | − | 0.240874i | ||||
\(585\) | −22.8202 | + | 28.6156i | −0.943498 | + | 1.18311i | ||||
\(586\) | −4.79899 | + | 21.0258i | −0.198245 | + | 0.868566i | ||||
\(587\) | 7.81683 | 0.322635 | 0.161318 | − | 0.986903i | \(-0.448426\pi\) | ||||
0.161318 | + | 0.986903i | \(0.448426\pi\) | |||||||
\(588\) | −11.8849 | + | 18.8240i | −0.490126 | + | 0.776288i | ||||
\(589\) | −7.25322 | −0.298864 | ||||||||
\(590\) | 0.969431 | − | 4.24735i | 0.0399108 | − | 0.174861i | ||||
\(591\) | −37.6997 | + | 47.2740i | −1.55076 | + | 1.94459i | ||||
\(592\) | 3.19756 | + | 1.53986i | 0.131419 | + | 0.0632880i | ||||
\(593\) | −4.29670 | + | 5.38790i | −0.176445 | + | 0.221254i | −0.862187 | − | 0.506589i | \(-0.830906\pi\) |
0.685743 | + | 0.727844i | \(0.259477\pi\) | |||||||
\(594\) | 14.9005 | + | 18.6846i | 0.611373 | + | 0.766638i | ||||
\(595\) | −2.68134 | − | 48.6887i | −0.109924 | − | 1.99604i | ||||
\(596\) | 0.513978 | − | 0.644509i | 0.0210534 | − | 0.0264001i | ||||
\(597\) | 3.48482 | + | 15.2680i | 0.142624 | + | 0.624878i | ||||
\(598\) | −1.17905 | − | 1.47849i | −0.0482151 | − | 0.0604598i | ||||
\(599\) | 4.40483 | − | 19.2988i | 0.179977 | − | 0.788529i | −0.801662 | − | 0.597778i | \(-0.796051\pi\) |
0.981638 | − | 0.190751i | \(-0.0610923\pi\) | |||||||
\(600\) | −4.07255 | + | 1.96124i | −0.166261 | + | 0.0800672i | ||||
\(601\) | −2.53015 | + | 11.0853i | −0.103207 | + | 0.452180i | 0.896746 | + | 0.442545i | \(0.145924\pi\) |
−0.999954 | + | 0.00963530i | \(0.996933\pi\) | |||||||
\(602\) | 15.3940 | − | 13.7269i | 0.627411 | − | 0.559467i | ||||
\(603\) | −12.9478 | − | 56.7279i | −0.527274 | − | 2.31014i | ||||
\(604\) | −5.93539 | − | 7.44274i | −0.241508 | − | 0.302841i | ||||
\(605\) | −17.4972 | + | 8.42619i | −0.711361 | + | 0.342573i | ||||
\(606\) | −28.6958 | −1.16569 | ||||||||
\(607\) | −5.40897 | −0.219543 | −0.109772 | − | 0.993957i | \(-0.535012\pi\) | ||||
−0.109772 | + | 0.993957i | \(0.535012\pi\) | |||||||
\(608\) | 2.81301 | − | 1.35468i | 0.114083 | − | 0.0549394i | ||||
\(609\) | −1.27078 | − | 23.0752i | −0.0514946 | − | 0.935056i | ||||
\(610\) | 19.6249 | + | 9.45085i | 0.794589 | + | 0.382654i | ||||
\(611\) | 3.85802 | + | 1.85793i | 0.156079 | + | 0.0751637i | ||||
\(612\) | −11.5138 | − | 50.4453i | −0.465418 | − | 2.03913i | ||||
\(613\) | −7.85550 | − | 34.4172i | −0.317281 | − | 1.39010i | −0.842301 | − | 0.539008i | \(-0.818799\pi\) |
0.525020 | − | 0.851090i | \(-0.324058\pi\) | |||||||
\(614\) | −25.0554 | − | 12.0660i | −1.01115 | − | 0.486946i | ||||
\(615\) | 49.4796 | + | 23.8281i | 1.99521 | + | 0.960843i | ||||
\(616\) | 3.93818 | + | 2.80071i | 0.158674 | + | 0.112844i | ||||
\(617\) | 42.8464 | − | 20.6338i | 1.72493 | − | 0.830684i | 0.736982 | − | 0.675912i | \(-0.236250\pi\) |
0.987950 | − | 0.154772i | \(-0.0494642\pi\) | |||||||
\(618\) | −33.1219 | −1.33236 | ||||||||
\(619\) | 23.7009 | 0.952620 | 0.476310 | − | 0.879277i | \(-0.341974\pi\) | ||||
0.476310 | + | 0.879277i | \(0.341974\pi\) | |||||||
\(620\) | 5.30384 | − | 2.55420i | 0.213007 | − | 0.102579i | ||||
\(621\) | −7.59846 | − | 9.52817i | −0.304916 | − | 0.382352i | ||||
\(622\) | 6.76097 | + | 29.6218i | 0.271090 | + | 1.18772i | ||||
\(623\) | −13.1327 | − | 23.8228i | −0.526150 | − | 0.954440i | ||||
\(624\) | −1.43678 | + | 6.29493i | −0.0575171 | + | 0.251999i | ||||
\(625\) | 27.1070 | − | 13.0540i | 1.08428 | − | 0.522161i | ||||
\(626\) | 4.10723 | − | 17.9950i | 0.164158 | − | 0.719224i | ||||
\(627\) | −11.3079 | − | 14.1796i | −0.451593 | − | 0.566279i | ||||
\(628\) | −2.83350 | − | 12.4144i | −0.113069 | − | 0.495387i | ||||
\(629\) | −16.0940 | + | 20.1812i | −0.641708 | + | 0.804676i | ||||
\(630\) | −18.3004 | + | 44.0458i | −0.729104 | + | 1.75483i | ||||
\(631\) | −2.47518 | − | 3.10378i | −0.0985353 | − | 0.123559i | 0.730119 | − | 0.683320i | \(-0.239465\pi\) |
−0.828654 | + | 0.559761i | \(0.810893\pi\) | |||||||
\(632\) | 0.732803 | − | 0.918906i | 0.0291493 | − | 0.0365521i | ||||
\(633\) | 14.1068 | + | 6.79350i | 0.560697 | + | 0.270017i | ||||
\(634\) | 5.62456 | − | 7.05298i | 0.223380 | − | 0.280110i | ||||
\(635\) | −6.29930 | + | 27.5990i | −0.249980 | + | 1.09523i | ||||
\(636\) | −11.0071 | −0.436459 | ||||||||
\(637\) | 4.66479 | + | 13.4245i | 0.184826 | + | 0.531899i | ||||
\(638\) | −5.01666 | −0.198611 | ||||||||
\(639\) | 4.97574 | − | 21.8001i | 0.196837 | − | 0.862400i | ||||
\(640\) | −1.57994 | + | 1.98119i | −0.0624527 | + | 0.0783133i | ||||
\(641\) | −1.05675 | − | 0.508902i | −0.0417390 | − | 0.0201004i | 0.412898 | − | 0.910777i | \(-0.364517\pi\) |
−0.454637 | + | 0.890677i | \(0.650231\pi\) | |||||||
\(642\) | 2.05881 | − | 2.58167i | 0.0812549 | − | 0.101890i | ||||
\(643\) | −3.81496 | − | 4.78381i | −0.150447 | − | 0.188655i | 0.700897 | − | 0.713263i | \(-0.252783\pi\) |
−0.851344 | + | 0.524608i | \(0.824212\pi\) | |||||||
\(644\) | −2.00827 | − | 1.42822i | −0.0791368 | − | 0.0562797i | ||||
\(645\) | 39.1703 | − | 49.1180i | 1.54233 | − | 1.93402i | ||||
\(646\) | 5.05309 | + | 22.1391i | 0.198811 | + | 0.871049i | ||||
\(647\) | −21.7671 | − | 27.2950i | −0.855751 | − | 1.07308i | −0.996546 | − | 0.0830392i | \(-0.973537\pi\) |
0.140795 | − | 0.990039i | \(-0.455034\pi\) | |||||||
\(648\) | −4.51022 | + | 19.7606i | −0.177178 | + | 0.776269i | ||||
\(649\) | −2.82923 | + | 1.36248i | −0.111057 | + | 0.0534822i | ||||
\(650\) | −0.642121 | + | 2.81331i | −0.0251860 | + | 0.110347i | ||||
\(651\) | 7.49993 | − | 18.0511i | 0.293946 | − | 0.707477i | ||||
\(652\) | 0.258440 | + | 1.13230i | 0.0101213 | + | 0.0443443i | ||||
\(653\) | −25.7103 | − | 32.2397i | −1.00612 | − | 1.26164i | −0.964936 | − | 0.262484i | \(-0.915458\pi\) |
−0.0411845 | − | 0.999152i | \(-0.513113\pi\) | |||||||
\(654\) | −55.5546 | + | 26.7537i | −2.17236 | + | 1.04615i | ||||
\(655\) | 2.30116 | 0.0899139 | ||||||||
\(656\) | 6.81458 | 0.266065 | ||||||||
\(657\) | −85.9917 | + | 41.4114i | −3.35486 | + | 1.61561i | ||||
\(658\) | 5.50035 | + | 0.940684i | 0.214426 | + | 0.0366717i | ||||
\(659\) | 26.0040 | + | 12.5229i | 1.01297 | + | 0.487821i | 0.865321 | − | 0.501219i | \(-0.167115\pi\) |
0.147650 | + | 0.989040i | \(0.452829\pi\) | |||||||
\(660\) | 13.2621 | + | 6.38668i | 0.516225 | + | 0.248601i | ||||
\(661\) | −1.31212 | − | 5.74875i | −0.0510354 | − | 0.223601i | 0.942979 | − | 0.332853i | \(-0.108011\pi\) |
−0.994014 | + | 0.109253i | \(0.965154\pi\) | |||||||
\(662\) | −1.44358 | − | 6.32473i | −0.0561062 | − | 0.245817i | ||||
\(663\) | −42.3110 | − | 20.3759i | −1.64322 | − | 0.791334i | ||||
\(664\) | 9.36569 | + | 4.51028i | 0.363459 | + | 0.175033i | ||||
\(665\) | 8.03153 | − | 19.3305i | 0.311449 | − | 0.749605i | ||||
\(666\) | 22.7479 | − | 10.9548i | 0.881465 | − | 0.424491i | ||||
\(667\) | 2.55824 | 0.0990553 | ||||||||
\(668\) | −21.4724 | −0.830794 | ||||||||
\(669\) | −55.9399 | + | 26.9392i | −2.16276 | + | 1.04153i | ||||
\(670\) | −12.9224 | − | 16.2042i | −0.499235 | − | 0.626021i | ||||
\(671\) | −3.49366 | − | 15.3067i | −0.134871 | − | 0.590910i | ||||
\(672\) | 0.462679 | + | 8.40149i | 0.0178482 | + | 0.324095i | ||||
\(673\) | −9.04709 | + | 39.6379i | −0.348740 | + | 1.52793i | 0.431306 | + | 0.902206i | \(0.358053\pi\) |
−0.780046 | + | 0.625722i | \(0.784804\pi\) | |||||||
\(674\) | 12.4867 | − | 6.01328i | 0.480970 | − | 0.231623i | ||||
\(675\) | −4.13817 | + | 18.1305i | −0.159278 | + | 0.697844i | ||||
\(676\) | −5.53534 | − | 6.94110i | −0.212898 | − | 0.266965i | ||||
\(677\) | −2.08960 | − | 9.15516i | −0.0803100 | − | 0.351861i | 0.918768 | − | 0.394798i | \(-0.129186\pi\) |
−0.999078 | + | 0.0429372i | \(0.986328\pi\) | |||||||
\(678\) | 38.9861 | − | 48.8870i | 1.49725 | − | 1.87749i | ||||
\(679\) | 1.56768 | − | 0.449799i | 0.0601619 | − | 0.0172617i | ||||
\(680\) | −11.4912 | − | 14.4095i | −0.440668 | − | 0.552580i | ||||
\(681\) | 34.9218 | − | 43.7906i | 1.33821 | − | 1.67806i | ||||
\(682\) | −3.82299 | − | 1.84105i | −0.146390 | − | 0.0704976i | ||||
\(683\) | −15.5477 | + | 19.4962i | −0.594916 | + | 0.746001i | −0.984576 | − | 0.174957i | \(-0.944021\pi\) |
0.389660 | + | 0.920959i | \(0.372593\pi\) | |||||||
\(684\) | 4.94261 | − | 21.6550i | 0.188985 | − | 0.827999i | ||||
\(685\) | 28.5927 | 1.09247 | ||||||||
\(686\) | 10.6680 | + | 15.1392i | 0.407304 | + | 0.578017i | ||||
\(687\) | 26.7231 | 1.01955 | ||||||||
\(688\) | 1.73469 | − | 7.60017i | 0.0661344 | − | 0.289754i | ||||
\(689\) | −4.38118 | + | 5.49382i | −0.166910 | + | 0.209298i | ||||
\(690\) | −6.76297 | − | 3.25687i | −0.257462 | − | 0.123987i | ||||
\(691\) | 30.3213 | − | 38.0217i | 1.15348 | − | 1.44641i | 0.279698 | − | 0.960088i | \(-0.409766\pi\) |
0.873778 | − | 0.486325i | \(-0.161663\pi\) | |||||||
\(692\) | 9.39019 | + | 11.7749i | 0.356961 | + | 0.447615i | ||||
\(693\) | 33.0460 | − | 9.48158i | 1.25531 | − | 0.360176i | ||||
\(694\) | 3.70682 | − | 4.64820i | 0.140709 | − | 0.176443i | ||||
\(695\) | −9.34740 | − | 40.9536i | −0.354567 | − | 1.55346i | ||||
\(696\) | −5.44608 | − | 6.82917i | −0.206433 | − | 0.258859i | ||||
\(697\) | −11.0290 | + | 48.3211i | −0.417752 | + | 1.83029i | ||||
\(698\) | 17.9524 | − | 8.64542i | 0.679508 | − | 0.327234i | ||||
\(699\) | −9.19203 | + | 40.2729i | −0.347675 | + | 1.52326i | ||||
\(700\) | 0.206779 | + | 3.75477i | 0.00781552 | + | 0.141917i | ||||
\(701\) | 6.02033 | + | 26.3768i | 0.227385 | + | 0.996237i | 0.951763 | + | 0.306834i | \(0.0992698\pi\) |
−0.724378 | + | 0.689403i | \(0.757873\pi\) | |||||||
\(702\) | 16.5626 | + | 20.7689i | 0.625116 | + | 0.783870i | ||||
\(703\) | −9.98345 | + | 4.80778i | −0.376533 | + | 0.181329i | ||||
\(704\) | 1.82652 | 0.0688396 | ||||||||
\(705\) | 16.9972 | 0.640153 | ||||||||
\(706\) | 3.14642 | − | 1.51524i | 0.118417 | − | 0.0570267i | ||||
\(707\) | −9.15960 | + | 22.0456i | −0.344482 | + | 0.829110i | ||||
\(708\) | −4.92616 | − | 2.37231i | −0.185136 | − | 0.0891570i | ||||
\(709\) | 45.8686 | + | 22.0892i | 1.72263 | + | 0.829576i | 0.988619 | + | 0.150441i | \(0.0480695\pi\) |
0.734014 | + | 0.679135i | \(0.237645\pi\) | |||||||
\(710\) | −1.77234 | − | 7.76511i | −0.0665146 | − | 0.291420i | ||||
\(711\) | −1.86060 | − | 8.15180i | −0.0697778 | − | 0.305717i | ||||
\(712\) | −9.26349 | − | 4.46106i | −0.347164 | − | 0.167185i | ||||
\(713\) | 1.94953 | + | 0.938842i | 0.0730103 | + | 0.0351599i | ||||
\(714\) | −60.3223 | − | 10.3165i | −2.25751 | − | 0.386085i | ||||
\(715\) | 8.46643 | − | 4.07722i | 0.316626 | − | 0.152479i | ||||
\(716\) | −14.3987 | −0.538104 | ||||||||
\(717\) | 31.1357 | 1.16279 | ||||||||
\(718\) | 20.3552 | − | 9.80256i | 0.759650 | − | 0.365828i | ||||
\(719\) | 6.18849 | + | 7.76012i | 0.230792 | + | 0.289404i | 0.883720 | − | 0.468016i | \(-0.155031\pi\) |
−0.652928 | + | 0.757420i | \(0.726460\pi\) | |||||||
\(720\) | 4.01150 | + | 17.5755i | 0.149500 | + | 0.655001i | ||||
\(721\) | −10.5724 | + | 25.4460i | −0.393737 | + | 0.947657i | ||||
\(722\) | 2.05872 | − | 9.01984i | 0.0766176 | − | 0.335684i | ||||
\(723\) | 59.1518 | − | 28.4860i | 2.19988 | − | 1.05941i | ||||
\(724\) | −2.15294 | + | 9.43266i | −0.0800135 | + | 0.350562i | ||||
\(725\) | −2.43395 | − | 3.05207i | −0.0903946 | − | 0.113351i | ||||
\(726\) | 5.42352 | + | 23.7620i | 0.201286 | + | 0.881890i | ||||
\(727\) | 14.0147 | − | 17.5739i | 0.519777 | − | 0.651779i | −0.450785 | − | 0.892633i | \(-0.648856\pi\) |
0.970562 | + | 0.240853i | \(0.0774272\pi\) | |||||||
\(728\) | 4.37749 | + | 3.11313i | 0.162240 | + | 0.115380i | ||||
\(729\) | 12.0717 | + | 15.1374i | 0.447099 | + | 0.560645i | ||||
\(730\) | −21.1965 | + | 26.5796i | −0.784519 | + | 0.983756i | ||||
\(731\) | 51.0840 | + | 24.6008i | 1.88941 | + | 0.909892i | ||||
\(732\) | 17.0443 | − | 21.3729i | 0.629976 | − | 0.789965i | ||||
\(733\) | −9.18642 | + | 40.2484i | −0.339308 | + | 1.48661i | 0.461206 | + | 0.887293i | \(0.347417\pi\) |
−0.800514 | + | 0.599314i | \(0.795440\pi\) | |||||||
\(734\) | 7.13350 | 0.263302 | ||||||||
\(735\) | 39.8030 | + | 39.9760i | 1.46816 | + | 1.47454i | ||||
\(736\) | −0.931431 | −0.0343330 | ||||||||
\(737\) | −3.32427 | + | 14.5646i | −0.122451 | + | 0.536493i | ||||
\(738\) | 30.2268 | − | 37.9032i | 1.11266 | − | 1.39524i | ||||
\(739\) | −31.8368 | − | 15.3318i | −1.17113 | − | 0.563989i | −0.255819 | − | 0.966725i | \(-0.582345\pi\) |
−0.915316 | + | 0.402736i | \(0.868059\pi\) | |||||||
\(740\) | 5.60726 | − | 7.03128i | 0.206127 | − | 0.258475i | ||||
\(741\) | −12.5693 | − | 15.7614i | −0.461744 | − | 0.579008i | ||||
\(742\) | −3.51343 | + | 8.45623i | −0.128982 | + | 0.310438i | ||||
\(743\) | 12.2020 | − | 15.3009i | 0.447649 | − | 0.561334i | −0.505892 | − | 0.862597i | \(-0.668837\pi\) |
0.953541 | + | 0.301263i | \(0.0974081\pi\) | |||||||
\(744\) | −1.64401 | − | 7.20288i | −0.0602723 | − | 0.264070i | ||||
\(745\) | −1.30244 | − | 1.63321i | −0.0477176 | − | 0.0598360i | ||||
\(746\) | −1.24765 | + | 5.46632i | −0.0456797 | + | 0.200136i | ||||
\(747\) | 66.6290 | − | 32.0868i | 2.43783 | − | 1.17400i | ||||
\(748\) | −2.95610 | + | 12.9515i | −0.108086 | + | 0.473555i | ||||
\(749\) | −1.32621 | − | 2.40575i | −0.0484586 | − | 0.0879042i | ||||
\(750\) | −6.41757 | − | 28.1172i | −0.234337 | − | 1.02670i | ||||
\(751\) | 30.0938 | + | 37.7364i | 1.09814 | + | 1.37702i | 0.919492 | + | 0.393108i | \(0.128600\pi\) |
0.178646 | + | 0.983913i | \(0.442828\pi\) | |||||||
\(752\) | 1.90025 | − | 0.915113i | 0.0692950 | − | 0.0333707i | ||||
\(753\) | 28.8575 | 1.05163 | ||||||||
\(754\) | −5.57627 | −0.203076 | ||||||||
\(755\) | −21.7341 | + | 10.4666i | −0.790985 | + | 0.380918i | ||||
\(756\) | 28.2109 | + | 20.0627i | 1.02602 | + | 0.729674i | ||||
\(757\) | −38.4585 | − | 18.5206i | −1.39780 | − | 0.673144i | −0.425084 | − | 0.905154i | \(-0.639756\pi\) |
−0.972713 | + | 0.232010i | \(0.925470\pi\) | |||||||
\(758\) | 13.6924 | + | 6.59389i | 0.497329 | + | 0.239501i | ||||
\(759\) | 1.20396 | + | 5.27488i | 0.0437009 | + | 0.191466i | ||||
\(760\) | −1.76054 | − | 7.71342i | −0.0638614 | − | 0.279795i | ||||
\(761\) | −5.42103 | − | 2.61063i | −0.196512 | − | 0.0946353i | 0.333040 | − | 0.942913i | \(-0.391926\pi\) |
−0.529552 | + | 0.848278i | \(0.677640\pi\) | |||||||
\(762\) | 32.0099 | + | 15.4151i | 1.15960 | + | 0.558432i | ||||
\(763\) | 2.82073 | + | 51.2197i | 0.102117 | + | 1.85428i | ||||
\(764\) | 15.7079 | − | 7.56454i | 0.568293 | − | 0.273675i | ||||
\(765\) | −131.117 | −4.74056 | ||||||||
\(766\) | −12.3995 | −0.448012 | ||||||||
\(767\) | −3.14483 | + | 1.51447i | −0.113553 | + | 0.0546844i | ||||
\(768\) | 1.98287 | + | 2.48644i | 0.0715507 | + | 0.0897217i | ||||
\(769\) | −4.26852 | − | 18.7016i | −0.153927 | − | 0.674397i | −0.991721 | − | 0.128411i | \(-0.959012\pi\) |
0.837794 | − | 0.545986i | \(-0.183845\pi\) | |||||||
\(770\) | 9.13980 | − | 8.15001i | 0.329375 | − | 0.293706i | ||||
\(771\) | 2.70616 | − | 11.8565i | 0.0974600 | − | 0.427000i | ||||
\(772\) | 6.46295 | − | 3.11239i | 0.232607 | − | 0.112018i | ||||
\(773\) | 6.18677 | − | 27.1060i | 0.222523 | − | 0.974935i | −0.733049 | − | 0.680176i | \(-0.761903\pi\) |
0.955572 | − | 0.294759i | \(-0.0952395\pi\) | |||||||
\(774\) | −34.5783 | − | 43.3598i | −1.24289 | − | 1.55854i | ||||
\(775\) | −0.734736 | − | 3.21909i | −0.0263925 | − | 0.115633i | ||||
\(776\) | 0.384340 | − | 0.481947i | 0.0137970 | − | 0.0173009i | ||||
\(777\) | −1.64206 | − | 29.8171i | −0.0589086 | − | 1.06968i | ||||
\(778\) | −3.04139 | − | 3.81378i | −0.109039 | − | 0.136731i | ||||
\(779\) | −13.2657 | + | 16.6347i | −0.475294 | + | 0.596000i | ||||
\(780\) | 14.7415 | + | 7.09912i | 0.527829 | + | 0.254189i | ||||
\(781\) | −3.57946 | + | 4.48850i | −0.128083 | + | 0.160611i | ||||
\(782\) | 1.50746 | − | 6.60462i | 0.0539067 | − | 0.236181i | ||||
\(783\) | −35.9365 | −1.28427 | ||||||||
\(784\) | 6.60215 | + | 2.32628i | 0.235791 | + | 0.0830813i | ||||
\(785\) | −32.2674 | −1.15167 | ||||||||
\(786\) | 0.642645 | − | 2.81561i | 0.0229224 | − | 0.100430i | ||||
\(787\) | 27.2361 | − | 34.1530i | 0.970861 | − | 1.21742i | −0.00521364 | − | 0.999986i | \(-0.501660\pi\) |
0.976075 | − | 0.217435i | \(-0.0697690\pi\) | |||||||
\(788\) | 17.1299 | + | 8.24930i | 0.610226 | + | 0.293869i | ||||
\(789\) | −59.0426 | + | 74.0371i | −2.10197 | + | 2.63579i | ||||
\(790\) | −1.85695 | − | 2.32854i | −0.0660672 | − | 0.0828456i | ||||
\(791\) | −25.1133 | − | 45.5558i | −0.892927 | − | 1.61978i | ||||
\(792\) | 8.10172 | − | 10.1592i | 0.287882 | − | 0.360993i | ||||
\(793\) | −3.88338 | − | 17.0142i | −0.137903 | − | 0.604192i | ||||
\(794\) | −0.943418 | − | 1.18301i | −0.0334807 | − | 0.0419834i | ||||
\(795\) | −6.20662 | + | 27.1930i | −0.220126 | + | 0.964436i | ||||
\(796\) | 4.43664 | − | 2.13658i | 0.157253 | − | 0.0757289i | ||||
\(797\) | 6.75526 | − | 29.5967i | 0.239284 | − | 1.04837i | −0.702377 | − | 0.711805i | \(-0.747878\pi\) |
0.941660 | − | 0.336564i | \(-0.109265\pi\) | |||||||
\(798\) | −21.4091 | − | 15.2255i | −0.757873 | − | 0.538976i | ||||
\(799\) | 3.41347 | + | 14.9554i | 0.120760 | + | 0.529084i | ||||
\(800\) | 0.886178 | + | 1.11123i | 0.0313311 | + | 0.0392880i | ||||
\(801\) | −65.9019 | + | 31.7367i | −2.32853 | + | 1.12136i | ||||
\(802\) | −8.56728 | −0.302521 | ||||||||
\(803\) | 24.5046 | 0.864749 | ||||||||
\(804\) | −23.4356 | + | 11.2860i | −0.826509 | + | 0.398026i | ||||
\(805\) | −4.66082 | + | 4.15608i | −0.164272 | + | 0.146483i | ||||
\(806\) | −4.24945 | − | 2.04643i | −0.149680 | − | 0.0720823i | ||||
\(807\) | 34.1766 | + | 16.4586i | 1.20307 | + | 0.579369i | ||||
\(808\) | 2.00781 | + | 8.79681i | 0.0706347 | + | 0.309471i | ||||
\(809\) | 0.412438 | + | 1.80701i | 0.0145006 | + | 0.0635311i | 0.981661 | − | 0.190637i | \(-0.0610554\pi\) |
−0.967160 | + | 0.254168i | \(0.918198\pi\) | |||||||
\(810\) | 46.2753 | + | 22.2850i | 1.62595 | + | 0.783015i | ||||
\(811\) | −10.9558 | − | 5.27603i | −0.384710 | − | 0.185267i | 0.231525 | − | 0.972829i | \(-0.425628\pi\) |
−0.616235 | + | 0.787562i | \(0.711343\pi\) | |||||||
\(812\) | −6.98491 | + | 2.00412i | −0.245122 | + | 0.0703307i | ||||
\(813\) | 31.6370 | − | 15.2356i | 1.10956 | − | 0.534334i | ||||
\(814\) | −6.48236 | −0.227207 | ||||||||
\(815\) | 2.94307 | 0.103091 | ||||||||
\(816\) | −20.8401 | + | 10.0360i | −0.729548 | + | 0.351332i | ||||
\(817\) | 15.1755 | + | 19.0294i | 0.530922 | + | 0.665756i | ||||
\(818\) | 1.99739 | + | 8.75115i | 0.0698372 | + | 0.305977i | ||||
\(819\) | 36.7323 | − | 10.5393i | 1.28353 | − | 0.368272i | ||||
\(820\) | 3.84258 | − | 16.8354i | 0.134189 | − | 0.587919i | ||||
\(821\) | −29.5042 | + | 14.2085i | −1.02970 | + | 0.495880i | −0.870915 | − | 0.491433i | \(-0.836473\pi\) |
−0.158789 | + | 0.987313i | \(0.550759\pi\) | |||||||
\(822\) | 7.98508 | − | 34.9849i | 0.278512 | − | 1.22024i | ||||
\(823\) | 27.1443 | + | 34.0379i | 0.946191 | + | 1.18649i | 0.982333 | + | 0.187140i | \(0.0599217\pi\) |
−0.0361420 | + | 0.999347i | \(0.511507\pi\) | |||||||
\(824\) | 2.31751 | + | 10.1537i | 0.0807341 | + | 0.353719i | ||||
\(825\) | 5.14767 | − | 6.45497i | 0.179219 | − | 0.224733i | ||||
\(826\) | −3.39495 | + | 3.02730i | −0.118125 | + | 0.105333i | ||||
\(827\) | 3.05486 | + | 3.83067i | 0.106228 | + | 0.133206i | 0.832103 | − | 0.554621i | \(-0.187137\pi\) |
−0.725875 | + | 0.687826i | \(0.758565\pi\) | |||||||
\(828\) | −4.13146 | + | 5.18068i | −0.143578 | + | 0.180041i | ||||
\(829\) | −14.7022 | − | 7.08021i | −0.510629 | − | 0.245906i | 0.160784 | − | 0.986990i | \(-0.448598\pi\) |
−0.671413 | + | 0.741084i | \(0.734312\pi\) | |||||||
\(830\) | 16.4237 | − | 20.5947i | 0.570076 | − | 0.714852i | ||||
\(831\) | 15.4072 | − | 67.5035i | 0.534471 | − | 2.34167i | ||||
\(832\) | 2.03027 | 0.0703870 | ||||||||
\(833\) | −27.1804 | + | 43.0498i | −0.941745 | + | 1.49159i | ||||
\(834\) | −52.7196 | −1.82553 | ||||||||
\(835\) | −12.1078 | + | 53.0476i | −0.419007 | + | 1.83579i | ||||
\(836\) | −3.55562 | + | 4.45861i | −0.122974 | + | 0.154204i | ||||
\(837\) | −27.3857 | − | 13.1883i | −0.946589 | − | 0.455853i | ||||
\(838\) | −6.35699 | + | 7.97141i | −0.219598 | + | 0.275368i | ||||
\(839\) | −8.88819 | − | 11.1454i | −0.306855 | − | 0.384783i | 0.604363 | − | 0.796709i | \(-0.293428\pi\) |
−0.911217 | + | 0.411926i | \(0.864856\pi\) | |||||||
\(840\) | 21.0168 | + | 3.59434i | 0.725147 | + | 0.124017i | ||||
\(841\) | −13.3778 | + | 16.7753i | −0.461304 | + | 0.578458i | ||||
\(842\) | −8.00805 | − | 35.0856i | −0.275976 | − | 1.20913i | ||||
\(843\) | 16.2117 | + | 20.3288i | 0.558359 | + | 0.700160i | ||||
\(844\) | 1.09553 | − | 4.79985i | 0.0377099 | − | 0.165218i | ||||
\(845\) | −20.2692 | + | 9.76115i | −0.697283 | + | 0.335794i | ||||
\(846\) | 3.33884 | − | 14.6284i | 0.114792 | − | 0.502935i | ||||
\(847\) | 19.9864 | + | 3.41813i | 0.686740 | + | 0.117448i | ||||
\(848\) | 0.770156 | + | 3.37427i | 0.0264472 | + | 0.115873i | ||||
\(849\) | 31.3310 | + | 39.2878i | 1.07528 | + | 1.34835i | ||||
\(850\) | −9.31378 | + | 4.48528i | −0.319460 | + | 0.153844i | ||||
\(851\) | 3.30567 | 0.113317 | ||||||||
\(852\) | −9.99604 | −0.342459 | ||||||||
\(853\) | 4.31016 | − | 2.07566i | 0.147577 | − | 0.0710693i | −0.358638 | − | 0.933477i | \(-0.616759\pi\) |
0.506215 | + | 0.862408i | \(0.331044\pi\) | |||||||
\(854\) | −10.9793 | − | 19.9165i | −0.375703 | − | 0.681529i | ||||
\(855\) | −50.7116 | − | 24.4214i | −1.73430 | − | 0.835195i | ||||
\(856\) | −0.935476 | − | 0.450501i | −0.0319739 | − | 0.0153978i | ||||
\(857\) | 0.775468 | + | 3.39755i | 0.0264895 | + | 0.116058i | 0.986444 | − | 0.164097i | \(-0.0524711\pi\) |
−0.959955 | + | 0.280155i | \(0.909614\pi\) | |||||||
\(858\) | −2.62430 | − | 11.4978i | −0.0895922 | − | 0.392529i | ||||
\(859\) | 25.8352 | + | 12.4416i | 0.881487 | + | 0.424502i | 0.819167 | − | 0.573555i | \(-0.194436\pi\) |
0.0623195 | + | 0.998056i | \(0.480150\pi\) | |||||||
\(860\) | −17.7981 | − | 8.57109i | −0.606909 | − | 0.292272i | ||||
\(861\) | −27.6817 | − | 50.2148i | −0.943391 | − | 1.71132i | ||||
\(862\) | −36.8841 | + | 17.7624i | −1.25628 | + | 0.604991i | ||||
\(863\) | 5.04543 | 0.171749 | 0.0858743 | − | 0.996306i | \(-0.472632\pi\) | ||||
0.0858743 | + | 0.996306i | \(0.472632\pi\) | |||||||
\(864\) | 13.0842 | 0.445132 | ||||||||
\(865\) | 34.3848 | − | 16.5589i | 1.16912 | − | 0.563018i | ||||
\(866\) | −8.37313 | − | 10.4996i | −0.284530 | − | 0.356790i | ||||
\(867\) | −25.4051 | − | 111.307i | −0.862801 | − | 3.78018i | ||||
\(868\) | −6.05839 | − | 1.03612i | −0.205635 | − | 0.0351683i | ||||
\(869\) | −0.477698 | + | 2.09293i | −0.0162048 | + | 0.0709978i | ||||
\(870\) | −19.9424 | + | 9.60374i | −0.676110 | + | 0.325597i | ||||
\(871\) | −3.69510 | + | 16.1893i | −0.125204 | + | 0.548553i | ||||
\(872\) | 12.0886 | + | 15.1586i | 0.409371 | + | 0.513335i | ||||
\(873\) | −0.975844 | − | 4.27545i | −0.0330273 | − | 0.144702i | ||||
\(874\) | 1.81318 | − | 2.27366i | 0.0613319 | − | 0.0769077i | ||||
\(875\) | −23.6496 | − | 4.04462i | −0.799503 | − | 0.136733i | ||||
\(876\) | 26.6022 | + | 33.3581i | 0.898805 | + | 1.12707i | ||||
\(877\) | 7.42684 | − | 9.31296i | 0.250787 | − | 0.314476i | −0.640464 | − | 0.767989i | \(-0.721258\pi\) |
0.891250 | + | 0.453512i | \(0.149829\pi\) | |||||||
\(878\) | 25.6942 | + | 12.3737i | 0.867138 | + | 0.417592i | ||||
\(879\) | 42.7635 | − | 53.6238i | 1.44238 | − | 1.80869i | ||||
\(880\) | 1.02993 | − | 4.51242i | 0.0347189 | − | 0.152114i | ||||
\(881\) | 39.5068 | 1.33102 | 0.665508 | − | 0.746390i | \(-0.268215\pi\) | ||||
0.665508 | + | 0.746390i | \(0.268215\pi\) | |||||||
\(882\) | 42.2235 | − | 26.4032i | 1.42174 | − | 0.889042i | ||||
\(883\) | −23.6098 | −0.794532 | −0.397266 | − | 0.917703i | \(-0.630041\pi\) | ||||
−0.397266 | + | 0.917703i | \(0.630041\pi\) | |||||||
\(884\) | −3.28586 | + | 14.3963i | −0.110515 | + | 0.484200i | ||||
\(885\) | −8.63853 | + | 10.8324i | −0.290381 | + | 0.364126i | ||||
\(886\) | 25.2265 | + | 12.1484i | 0.847500 | + | 0.408134i | ||||
\(887\) | −25.3623 | + | 31.8033i | −0.851583 | + | 1.06785i | 0.145333 | + | 0.989383i | \(0.453575\pi\) |
−0.996917 | + | 0.0784689i | \(0.974997\pi\) | |||||||
\(888\) | −7.03725 | − | 8.82444i | −0.236155 | − | 0.296129i | ||||
\(889\) | 22.0602 | − | 19.6712i | 0.739875 | − | 0.659751i | ||||
\(890\) | −16.2445 | + | 20.3700i | −0.544517 | + | 0.682802i | ||||
\(891\) | −8.23802 | − | 36.0931i | −0.275984 | − | 1.20916i | ||||
\(892\) | 12.1724 | + | 15.2637i | 0.407562 | + | 0.511067i | ||||
\(893\) | −1.46533 | + | 6.42001i | −0.0490353 | + | 0.214838i | ||||
\(894\) | −2.36206 | + | 1.13751i | −0.0789990 | + | 0.0380439i | ||||
\(895\) | −8.11906 | + | 35.5719i | −0.271390 | + | 1.18904i | ||||
\(896\) | 2.54314 | − | 0.729681i | 0.0849604 | − | 0.0243769i | ||||
\(897\) | 1.33826 | + | 5.86329i | 0.0446832 | + | 0.195770i | ||||
\(898\) | −15.8533 | − | 19.8794i | −0.529031 | − | 0.663384i | ||||
\(899\) | 5.74869 | − | 2.76842i | 0.191729 | − | 0.0923320i | ||||
\(900\) | 10.1115 | 0.337050 | ||||||||
\(901\) | −25.1728 | −0.838629 | ||||||||
\(902\) | −11.2143 | + | 5.40054i | −0.373397 | + | 0.179818i | ||||
\(903\) | −63.0501 | + | 18.0904i | −2.09818 | + | 0.602011i | ||||
\(904\) | −17.7143 | − | 8.53078i | −0.589170 | − | 0.283730i | ||||
\(905\) | 22.0894 | + | 10.6377i | 0.734276 | + | 0.353608i | ||||
\(906\) | 6.73683 | + | 29.5160i | 0.223816 | + | 0.980603i | ||||
\(907\) | −9.47298 | − | 41.5038i | −0.314545 | − | 1.37811i | −0.846973 | − | 0.531636i | \(-0.821577\pi\) |
0.532428 | − | 0.846476i | \(-0.321280\pi\) | |||||||
\(908\) | −15.8677 | − | 7.64146i | −0.526586 | − | 0.253591i | ||||
\(909\) | 57.8344 | + | 27.8516i | 1.91824 | + | 0.923778i | ||||
\(910\) | 10.1593 | − | 9.05915i | 0.336779 | − | 0.300308i | ||||
\(911\) | −28.4474 | + | 13.6995i | −0.942504 | + | 0.453886i | −0.841052 | − | 0.540954i | \(-0.818063\pi\) |
−0.101452 | + | 0.994840i | \(0.532349\pi\) | |||||||
\(912\) | −9.92949 | −0.328798 | ||||||||
\(913\) | −18.9869 | −0.628375 | ||||||||
\(914\) | −2.57106 | + | 1.23816i | −0.0850432 | + | 0.0409546i | ||||
\(915\) | −43.1908 | − | 54.1596i | −1.42785 | − | 1.79046i | ||||
\(916\) | −1.86979 | − | 8.19209i | −0.0617796 | − | 0.270674i | ||||
\(917\) | −1.95797 | − | 1.39245i | −0.0646579 | − | 0.0459827i | ||||
\(918\) | −21.1759 | + | 92.7775i | −0.698908 | + | 3.06211i | ||||
\(919\) | −20.2761 | + | 9.76446i | −0.668847 | + | 0.322100i | −0.737311 | − | 0.675554i | \(-0.763905\pi\) |
0.0684634 | + | 0.997654i | \(0.478190\pi\) | |||||||
\(920\) | −0.525211 | + | 2.30110i | −0.0173157 | + | 0.0758650i | ||||
\(921\) | 55.1424 | + | 69.1463i | 1.81700 | + | 2.27845i | ||||
\(922\) | 2.29712 | + | 10.0643i | 0.0756515 | + | 0.331451i | ||||
\(923\) | −3.97875 | + | 4.98919i | −0.130962 | + | 0.164221i | ||||
\(924\) | −7.41956 | − | 13.4591i | −0.244086 | − | 0.442773i | ||||
\(925\) | −3.14507 | − | 3.94379i | −0.103409 | − | 0.129671i | ||||
\(926\) | −16.5114 | + | 20.7046i | −0.542597 | + | 0.680395i | ||||
\(927\) | 66.7549 | + | 32.1475i | 2.19252 | + | 1.05586i | ||||
\(928\) | −1.71246 | + | 2.14735i | −0.0562141 | + | 0.0704903i | ||||
\(929\) | −4.31967 | + | 18.9257i | −0.141724 | + | 0.620933i | 0.853311 | + | 0.521403i | \(0.174591\pi\) |
−0.995035 | + | 0.0995299i | \(0.968266\pi\) | |||||||
\(930\) | −18.7217 | −0.613909 | ||||||||
\(931\) | −18.5307 | + | 11.5877i | −0.607320 | + | 0.379770i | ||||
\(932\) | 12.9890 | 0.425469 | ||||||||
\(933\) | 21.5018 | − | 94.2054i | 0.703936 | − | 3.08415i | ||||
\(934\) | −2.52625 | + | 3.16782i | −0.0826615 | + | 0.103654i | ||||
\(935\) | 30.3299 | + | 14.6061i | 0.991894 | + | 0.477671i | ||||
\(936\) | 9.00548 | − | 11.2925i | 0.294353 | − | 0.369107i | ||||
\(937\) | 2.21442 | + | 2.77680i | 0.0723420 | + | 0.0907139i | 0.816686 | − | 0.577083i | \(-0.195809\pi\) |
−0.744344 | + | 0.667797i | \(0.767238\pi\) | |||||||
\(938\) | 1.18992 | + | 21.6069i | 0.0388521 | + | 0.705490i | ||||
\(939\) | −36.5993 | + | 45.8941i | −1.19437 | + | 1.49770i | ||||
\(940\) | −1.18928 | − | 5.21058i | −0.0387901 | − | 0.169950i | ||||
\(941\) | −10.1141 | − | 12.6827i | −0.329710 | − | 0.413443i | 0.589152 | − | 0.808022i | \(-0.299462\pi\) |
−0.918862 | + | 0.394579i | \(0.870890\pi\) | |||||||
\(942\) | −9.01130 | + | 39.4811i | −0.293604 | + | 1.28636i | ||||
\(943\) | 5.71873 | − | 2.75400i | 0.186228 | − | 0.0896825i | ||||
\(944\) | −0.382564 | + | 1.67612i | −0.0124514 | + | 0.0545532i | ||||
\(945\) | 65.4723 | − | 58.3821i | 2.12981 | − | 1.89917i | ||||
\(946\) | 3.16844 | + | 13.8819i | 0.103015 | + | 0.451338i | ||||
\(947\) | 26.8422 | + | 33.6591i | 0.872255 | + | 1.09377i | 0.994854 | + | 0.101317i | \(0.0323056\pi\) |
−0.122599 | + | 0.992456i | \(0.539123\pi\) | |||||||
\(948\) | −3.36769 | + | 1.62180i | −0.109378 | + | 0.0526735i | ||||
\(949\) | 27.2381 | 0.884187 | ||||||||
\(950\) | −4.43766 | −0.143977 | ||||||||
\(951\) | −25.8484 | + | 12.4479i | −0.838193 | + | 0.403652i | ||||
\(952\) | 1.05813 | + | 19.2139i | 0.0342942 | + | 0.622727i | ||||
\(953\) | −1.32580 | − | 0.638470i | −0.0429468 | − | 0.0206821i | 0.412287 | − | 0.911054i | \(-0.364730\pi\) |
−0.455234 | + | 0.890372i | \(0.650444\pi\) | |||||||
\(954\) | 22.1840 | + | 10.6833i | 0.718235 | + | 0.345884i | ||||
\(955\) | −9.83087 | − | 43.0719i | −0.318120 | − | 1.39377i | ||||
\(956\) | −2.17854 | − | 9.54480i | −0.0704589 | − | 0.308701i | ||||
\(957\) | 14.3744 | + | 6.92234i | 0.464658 | + | 0.223767i | ||||
\(958\) | −6.20485 | − | 2.98810i | −0.200470 | − | 0.0965411i | ||||
\(959\) | −24.3284 | − | 17.3016i | −0.785606 | − | 0.558699i | ||||
\(960\) | 7.26084 | − | 3.49664i | 0.234343 | − | 0.112853i | ||||
\(961\) | −25.6032 | −0.825909 | ||||||||
\(962\) | −7.20548 | −0.232314 | ||||||||
\(963\) | −6.65512 | + | 3.20494i | −0.214458 | + | 0.103278i | ||||
\(964\) | −12.8713 | − | 16.1401i | −0.414557 | − | 0.519838i | ||||
\(965\) | −4.04487 | − | 17.7217i | −0.130209 | − | 0.570482i | ||||
\(966\) | 3.78359 | + | 6.86346i | 0.121735 | + | 0.220828i | ||||
\(967\) | −1.80221 | + | 7.89598i | −0.0579550 | + | 0.253918i | −0.995604 | − | 0.0936673i | \(-0.970141\pi\) |
0.937649 | + | 0.347585i | \(0.112998\pi\) | |||||||
\(968\) | 6.90487 | − | 3.32521i | 0.221931 | − | 0.106876i | ||||
\(969\) | 16.0702 | − | 70.4083i | 0.516250 | − | 2.26184i | ||||
\(970\) | −0.973929 | − | 1.22127i | −0.0312710 | − | 0.0392126i | ||||
\(971\) | −2.99818 | − | 13.1359i | −0.0962160 | − | 0.421550i | 0.903763 | − | 0.428033i | \(-0.140793\pi\) |
−0.999979 | + | 0.00648337i | \(0.997936\pi\) | |||||||
\(972\) | 15.7168 | − | 19.7082i | 0.504117 | − | 0.632142i | ||||
\(973\) | −16.8280 | + | 40.5020i | −0.539480 | + | 1.29844i | ||||
\(974\) | −19.6445 | − | 24.6334i | −0.629451 | − | 0.789306i | ||||
\(975\) | 5.72190 | − | 7.17503i | 0.183247 | − | 0.229785i | ||||
\(976\) | −7.74453 | − | 3.72957i | −0.247896 | − | 0.119381i | ||||
\(977\) | 26.8123 | − | 33.6216i | 0.857803 | − | 1.07565i | −0.138553 | − | 0.990355i | \(-0.544245\pi\) |
0.996356 | − | 0.0852959i | \(-0.0271836\pi\) | |||||||
\(978\) | 0.821911 | − | 3.60103i | 0.0262818 | − | 0.115148i | ||||
\(979\) | 18.7797 | 0.600203 | ||||||||
\(980\) | 9.46986 | − | 14.9989i | 0.302503 | − | 0.479122i | ||||
\(981\) | 137.933 | 4.40387 | ||||||||
\(982\) | 1.24863 | − | 5.47060i | 0.0398453 | − | 0.174574i | ||||
\(983\) | 12.7022 | − | 15.9280i | 0.405137 | − | 0.508025i | −0.536849 | − | 0.843678i | \(-0.680386\pi\) |
0.941986 | + | 0.335653i | \(0.108957\pi\) | |||||||
\(984\) | −19.5260 | − | 9.40324i | −0.622467 | − | 0.299764i | ||||
\(985\) | 30.0390 | − | 37.6677i | 0.957122 | − | 1.20019i | ||||
\(986\) | −12.4550 | − | 15.6181i | −0.396648 | − | 0.497381i | ||||
\(987\) | −14.4623 | − | 10.2851i | −0.460340 | − | 0.327379i | ||||
\(988\) | −3.95226 | + | 4.95597i | −0.125738 | + | 0.157671i | ||||
\(989\) | −1.61574 | − | 7.07903i | −0.0513776 | − | 0.225100i | ||||
\(990\) | −20.5300 | − | 25.7438i | −0.652487 | − | 0.818193i | ||||
\(991\) | −0.354559 | + | 1.55343i | −0.0112629 | + | 0.0493462i | −0.980247 | − | 0.197777i | \(-0.936628\pi\) |
0.968984 | + | 0.247123i | \(0.0794851\pi\) | |||||||
\(992\) | −2.09304 | + | 1.00796i | −0.0664542 | + | 0.0320027i | ||||
\(993\) | −4.59098 | + | 20.1144i | −0.145690 | + | 0.638310i | ||||
\(994\) | −3.19071 | + | 7.67949i | −0.101203 | + | 0.243578i | ||||
\(995\) | −2.77669 | − | 12.1655i | −0.0880271 | − | 0.385672i | ||||
\(996\) | −20.6122 | − | 25.8469i | −0.653122 | − | 0.818990i | ||||
\(997\) | −48.3315 | + | 23.2752i | −1.53067 | + | 0.737134i | −0.994277 | − | 0.106832i | \(-0.965929\pi\) |
−0.536397 | + | 0.843966i | \(0.680215\pi\) | |||||||
\(998\) | 28.0803 | 0.888865 | ||||||||
\(999\) | −46.4360 | −1.46917 |
(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 | 98.2.e.a.15.3 | ✓ | 18 | |
3.2 | odd | 2 | 882.2.u.j.505.3 | 18 | |||
4.3 | odd | 2 | 784.2.u.c.113.1 | 18 | |||
7.2 | even | 3 | 686.2.g.i.67.3 | 36 | |||
7.3 | odd | 6 | 686.2.g.j.177.3 | 36 | |||
7.4 | even | 3 | 686.2.g.i.177.1 | 36 | |||
7.5 | odd | 6 | 686.2.g.j.67.1 | 36 | |||
7.6 | odd | 2 | 686.2.e.a.99.1 | 18 | |||
49.2 | even | 21 | 686.2.g.i.655.1 | 36 | |||
49.6 | odd | 14 | 4802.2.a.e.1.1 | 9 | |||
49.11 | even | 21 | 686.2.g.i.471.3 | 36 | |||
49.13 | odd | 14 | 686.2.e.a.589.1 | 18 | |||
49.36 | even | 7 | inner | 98.2.e.a.85.3 | yes | 18 | |
49.38 | odd | 42 | 686.2.g.j.471.1 | 36 | |||
49.43 | even | 7 | 4802.2.a.h.1.9 | 9 | |||
49.47 | odd | 42 | 686.2.g.j.655.3 | 36 | |||
147.134 | odd | 14 | 882.2.u.j.379.3 | 18 | |||
196.183 | odd | 14 | 784.2.u.c.673.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.e.a.15.3 | ✓ | 18 | 1.1 | even | 1 | trivial | |
98.2.e.a.85.3 | yes | 18 | 49.36 | even | 7 | inner | |
686.2.e.a.99.1 | 18 | 7.6 | odd | 2 | |||
686.2.e.a.589.1 | 18 | 49.13 | odd | 14 | |||
686.2.g.i.67.3 | 36 | 7.2 | even | 3 | |||
686.2.g.i.177.1 | 36 | 7.4 | even | 3 | |||
686.2.g.i.471.3 | 36 | 49.11 | even | 21 | |||
686.2.g.i.655.1 | 36 | 49.2 | even | 21 | |||
686.2.g.j.67.1 | 36 | 7.5 | odd | 6 | |||
686.2.g.j.177.3 | 36 | 7.3 | odd | 6 | |||
686.2.g.j.471.1 | 36 | 49.38 | odd | 42 | |||
686.2.g.j.655.3 | 36 | 49.47 | odd | 42 | |||
784.2.u.c.113.1 | 18 | 4.3 | odd | 2 | |||
784.2.u.c.673.1 | 18 | 196.183 | odd | 14 | |||
882.2.u.j.379.3 | 18 | 147.134 | odd | 14 | |||
882.2.u.j.505.3 | 18 | 3.2 | odd | 2 | |||
4802.2.a.e.1.1 | 9 | 49.6 | odd | 14 | |||
4802.2.a.h.1.9 | 9 | 49.43 | even | 7 |