Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(84,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.84");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.n (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 84.7 | ||
Character | \(\chi\) | \(=\) | 185.84 |
Dual form | 185.2.n.a.174.7 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.704704 | − | 0.406861i | −0.498301 | − | 0.287694i | 0.229711 | − | 0.973259i | \(-0.426222\pi\) |
−0.728012 | + | 0.685565i | \(0.759555\pi\) | |||||||
\(3\) | −0.142682 | + | 0.0823772i | −0.0823772 | + | 0.0475605i | −0.540623 | − | 0.841265i | \(-0.681811\pi\) |
0.458246 | + | 0.888826i | \(0.348478\pi\) | |||||||
\(4\) | −0.668928 | − | 1.15862i | −0.334464 | − | 0.579309i | ||||
\(5\) | −1.50396 | − | 1.65472i | −0.672591 | − | 0.740014i | ||||
\(6\) | 0.134064 | 0.0547315 | ||||||||
\(7\) | −2.76887 | + | 1.59861i | −1.04654 | + | 0.604218i | −0.921677 | − | 0.387957i | \(-0.873181\pi\) |
−0.124858 | + | 0.992175i | \(0.539848\pi\) | |||||||
\(8\) | 2.71609i | 0.960282i | ||||||||
\(9\) | −1.48643 | + | 2.57457i | −0.495476 | + | 0.858190i | ||||
\(10\) | 0.386605 | + | 1.77799i | 0.122255 | + | 0.562250i | ||||
\(11\) | 0.642046 | 0.193584 | 0.0967921 | − | 0.995305i | \(-0.469142\pi\) | ||||
0.0967921 | + | 0.995305i | \(0.469142\pi\) | |||||||
\(12\) | 0.190887 | + | 0.110209i | 0.0551044 | + | 0.0318146i | ||||
\(13\) | 0.0879391 | − | 0.0507716i | 0.0243899 | − | 0.0140815i | −0.487755 | − | 0.872980i | \(-0.662184\pi\) |
0.512145 | + | 0.858899i | \(0.328851\pi\) | |||||||
\(14\) | 2.60165 | 0.695320 | ||||||||
\(15\) | 0.350899 | + | 0.112206i | 0.0906017 | + | 0.0289715i | ||||
\(16\) | −0.232786 | + | 0.403197i | −0.0581965 | + | 0.100799i | ||||
\(17\) | −5.39880 | − | 3.11700i | −1.30940 | − | 0.755983i | −0.327404 | − | 0.944884i | \(-0.606174\pi\) |
−0.981996 | + | 0.188902i | \(0.939507\pi\) | |||||||
\(18\) | 2.09498 | − | 1.20954i | 0.493792 | − | 0.285091i | ||||
\(19\) | −1.58053 | − | 2.73756i | −0.362599 | − | 0.628040i | 0.625789 | − | 0.779993i | \(-0.284777\pi\) |
−0.988388 | + | 0.151953i | \(0.951444\pi\) | |||||||
\(20\) | −0.911149 | + | 2.84940i | −0.203739 | + | 0.637146i | ||||
\(21\) | 0.263378 | − | 0.456184i | 0.0574738 | − | 0.0995475i | ||||
\(22\) | −0.452453 | − | 0.261224i | −0.0964632 | − | 0.0556931i | ||||
\(23\) | − | 6.40020i | − | 1.33453i | −0.744818 | − | 0.667267i | \(-0.767464\pi\) | ||
0.744818 | − | 0.667267i | \(-0.232536\pi\) | |||||||
\(24\) | −0.223744 | − | 0.387536i | −0.0456715 | − | 0.0791054i | ||||
\(25\) | −0.476209 | + | 4.97727i | −0.0952418 | + | 0.995454i | ||||
\(26\) | −0.0826280 | −0.0162047 | ||||||||
\(27\) | − | 0.984055i | − | 0.189381i | ||||||
\(28\) | 3.70435 | + | 2.13871i | 0.700057 | + | 0.404178i | ||||
\(29\) | −0.922601 | −0.171323 | −0.0856613 | − | 0.996324i | \(-0.527300\pi\) | ||||
−0.0856613 | + | 0.996324i | \(0.527300\pi\) | |||||||
\(30\) | −0.201627 | − | 0.221839i | −0.0368120 | − | 0.0405021i | ||||
\(31\) | 2.12639 | 0.381911 | 0.190956 | − | 0.981599i | \(-0.438841\pi\) | ||||
0.190956 | + | 0.981599i | \(0.438841\pi\) | |||||||
\(32\) | 5.03249 | − | 2.90551i | 0.889627 | − | 0.513627i | ||||
\(33\) | −0.0916081 | + | 0.0528900i | −0.0159469 | + | 0.00920696i | ||||
\(34\) | 2.53637 | + | 4.39312i | 0.434984 | + | 0.753414i | ||||
\(35\) | 6.80953 | + | 2.17747i | 1.15102 | + | 0.368060i | ||||
\(36\) | 3.97725 | 0.662876 | ||||||||
\(37\) | −5.74093 | + | 2.01041i | −0.943802 | + | 0.330510i | ||||
\(38\) | 2.57223i | 0.417271i | ||||||||
\(39\) | −0.00836485 | + | 0.0144884i | −0.00133945 | + | 0.00231999i | ||||
\(40\) | 4.49437 | − | 4.08489i | 0.710622 | − | 0.645877i | ||||
\(41\) | −3.24434 | − | 5.61936i | −0.506681 | − | 0.877597i | −0.999970 | − | 0.00773187i | \(-0.997539\pi\) |
0.493289 | − | 0.869865i | \(-0.335794\pi\) | |||||||
\(42\) | −0.371207 | + | 0.214317i | −0.0572785 | + | 0.0330698i | ||||
\(43\) | 4.73587i | 0.722214i | 0.932524 | + | 0.361107i | \(0.117601\pi\) | ||||
−0.932524 | + | 0.361107i | \(0.882399\pi\) | |||||||
\(44\) | −0.429483 | − | 0.743886i | −0.0647470 | − | 0.112145i | ||||
\(45\) | 6.49572 | − | 1.41242i | 0.968325 | − | 0.210552i | ||||
\(46\) | −2.60399 | + | 4.51025i | −0.383938 | + | 0.665000i | ||||
\(47\) | − | 11.7571i | − | 1.71495i | −0.514525 | − | 0.857475i | \(-0.672032\pi\) | ||
0.514525 | − | 0.857475i | \(-0.327968\pi\) | |||||||
\(48\) | − | 0.0767051i | − | 0.0110714i | ||||||
\(49\) | 1.61111 | − | 2.79052i | 0.230158 | − | 0.398645i | ||||
\(50\) | 2.36064 | − | 3.31375i | 0.333845 | − | 0.468635i | ||||
\(51\) | 1.02708 | 0.143820 | ||||||||
\(52\) | −0.117650 | − | 0.0679252i | −0.0163151 | − | 0.00941952i | ||||
\(53\) | 4.38308 | + | 2.53057i | 0.602062 | + | 0.347601i | 0.769852 | − | 0.638222i | \(-0.220330\pi\) |
−0.167790 | + | 0.985823i | \(0.553663\pi\) | |||||||
\(54\) | −0.400374 | + | 0.693467i | −0.0544839 | + | 0.0943689i | ||||
\(55\) | −0.965612 | − | 1.06241i | −0.130203 | − | 0.143255i | ||||
\(56\) | −4.34196 | − | 7.52050i | −0.580219 | − | 1.00497i | ||||
\(57\) | 0.451026 | + | 0.260400i | 0.0597398 | + | 0.0344908i | ||||
\(58\) | 0.650160 | + | 0.375370i | 0.0853702 | + | 0.0492885i | ||||
\(59\) | −0.782127 | + | 1.35468i | −0.101824 | + | 0.176365i | −0.912436 | − | 0.409219i | \(-0.865801\pi\) |
0.810612 | + | 0.585584i | \(0.199135\pi\) | |||||||
\(60\) | −0.104722 | − | 0.481615i | −0.0135195 | − | 0.0621763i | ||||
\(61\) | 4.43648 | + | 7.68422i | 0.568034 | + | 0.983863i | 0.996760 | + | 0.0804289i | \(0.0256290\pi\) |
−0.428727 | + | 0.903434i | \(0.641038\pi\) | |||||||
\(62\) | −1.49848 | − | 0.865146i | −0.190307 | − | 0.109874i | ||||
\(63\) | − | 9.50487i | − | 1.19750i | ||||||
\(64\) | −3.79741 | −0.474677 | ||||||||
\(65\) | −0.216270 | − | 0.0691562i | −0.0268250 | − | 0.00857777i | ||||
\(66\) | 0.0860755 | 0.0105952 | ||||||||
\(67\) | −1.52916 | + | 0.882859i | −0.186816 | + | 0.107858i | −0.590491 | − | 0.807044i | \(-0.701066\pi\) |
0.403675 | + | 0.914902i | \(0.367733\pi\) | |||||||
\(68\) | 8.34019i | 1.01140i | ||||||||
\(69\) | 0.527231 | + | 0.913191i | 0.0634712 | + | 0.109935i | ||||
\(70\) | −3.91277 | − | 4.30500i | −0.467666 | − | 0.514546i | ||||
\(71\) | 6.31012 | + | 10.9294i | 0.748873 | + | 1.29709i | 0.948363 | + | 0.317187i | \(0.102738\pi\) |
−0.199490 | + | 0.979900i | \(0.563928\pi\) | |||||||
\(72\) | −6.99275 | − | 4.03727i | −0.824104 | − | 0.475797i | ||||
\(73\) | 5.29003i | 0.619151i | 0.950875 | + | 0.309576i | \(0.100187\pi\) | ||||
−0.950875 | + | 0.309576i | \(0.899813\pi\) | |||||||
\(74\) | 4.86361 | + | 0.919012i | 0.565384 | + | 0.106833i | ||||
\(75\) | −0.342068 | − | 0.749393i | −0.0394986 | − | 0.0865325i | ||||
\(76\) | −2.11453 | + | 3.66247i | −0.242553 | + | 0.420114i | ||||
\(77\) | −1.77774 | + | 1.02638i | −0.202593 | + | 0.116967i | ||||
\(78\) | 0.0117895 | − | 0.00680667i | 0.00133490 | − | 0.000770703i | ||||
\(79\) | −4.11053 | − | 7.11965i | −0.462471 | − | 0.801023i | 0.536612 | − | 0.843829i | \(-0.319704\pi\) |
−0.999083 | + | 0.0428056i | \(0.986370\pi\) | |||||||
\(80\) | 1.01728 | − | 0.221196i | 0.113735 | − | 0.0247305i | ||||
\(81\) | −4.37822 | − | 7.58330i | −0.486469 | − | 0.842589i | ||||
\(82\) | 5.27999i | 0.583077i | ||||||||
\(83\) | −9.85057 | − | 5.68723i | −1.08124 | − | 0.624255i | −0.150010 | − | 0.988685i | \(-0.547931\pi\) |
−0.931231 | + | 0.364430i | \(0.881264\pi\) | |||||||
\(84\) | −0.704724 | −0.0768917 | ||||||||
\(85\) | 2.96181 | + | 13.6213i | 0.321254 | + | 1.47744i | ||||
\(86\) | 1.92684 | − | 3.33739i | 0.207777 | − | 0.359880i | ||||
\(87\) | 0.131638 | − | 0.0760013i | 0.0141131 | − | 0.00814819i | ||||
\(88\) | 1.74385i | 0.185895i | ||||||||
\(89\) | −0.258830 | + | 0.448307i | −0.0274359 | + | 0.0475204i | −0.879417 | − | 0.476052i | \(-0.842068\pi\) |
0.851981 | + | 0.523572i | \(0.175401\pi\) | |||||||
\(90\) | −5.15222 | − | 1.64752i | −0.543092 | − | 0.173663i | ||||
\(91\) | −0.162328 | + | 0.281160i | −0.0170166 | + | 0.0294736i | ||||
\(92\) | −7.41539 | + | 4.28128i | −0.773108 | + | 0.446354i | ||||
\(93\) | −0.303397 | + | 0.175166i | −0.0314608 | + | 0.0181639i | ||||
\(94\) | −4.78351 | + | 8.28528i | −0.493381 | + | 0.854561i | ||||
\(95\) | −2.15285 | + | 6.73253i | −0.220878 | + | 0.690743i | ||||
\(96\) | −0.478696 | + | 0.829126i | −0.0488567 | + | 0.0846223i | ||||
\(97\) | 13.2183i | 1.34212i | 0.741404 | + | 0.671059i | \(0.234160\pi\) | ||||
−0.741404 | + | 0.671059i | \(0.765840\pi\) | |||||||
\(98\) | −2.27070 | + | 1.31099i | −0.229376 | + | 0.132430i | ||||
\(99\) | −0.954355 | + | 1.65299i | −0.0959163 | + | 0.166132i | ||||
\(100\) | 6.08530 | − | 2.77769i | 0.608530 | − | 0.277769i | ||||
\(101\) | −16.0917 | −1.60118 | −0.800592 | − | 0.599210i | \(-0.795482\pi\) | ||||
−0.800592 | + | 0.599210i | \(0.795482\pi\) | |||||||
\(102\) | −0.723786 | − | 0.417878i | −0.0716655 | − | 0.0413761i | ||||
\(103\) | − | 8.94304i | − | 0.881184i | −0.897707 | − | 0.440592i | \(-0.854769\pi\) | ||
0.897707 | − | 0.440592i | \(-0.145231\pi\) | |||||||
\(104\) | 0.137900 | + | 0.238850i | 0.0135222 | + | 0.0234212i | ||||
\(105\) | −1.15097 | + | 0.250265i | −0.112323 | + | 0.0244234i | ||||
\(106\) | −2.05918 | − | 3.56661i | −0.200005 | − | 0.346420i | ||||
\(107\) | 4.95340 | − | 2.85985i | 0.478864 | − | 0.276472i | −0.241079 | − | 0.970505i | \(-0.577501\pi\) |
0.719943 | + | 0.694033i | \(0.244168\pi\) | |||||||
\(108\) | −1.14014 | + | 0.658262i | −0.109710 | + | 0.0633413i | ||||
\(109\) | 7.69422 | − | 13.3268i | 0.736973 | − | 1.27647i | −0.216880 | − | 0.976198i | \(-0.569588\pi\) |
0.953852 | − | 0.300276i | \(-0.0970787\pi\) | |||||||
\(110\) | 0.248218 | + | 1.14155i | 0.0236667 | + | 0.108843i | ||||
\(111\) | 0.653512 | − | 0.759771i | 0.0620286 | − | 0.0721142i | ||||
\(112\) | − | 1.48854i | − | 0.140653i | ||||||
\(113\) | 0.307066 | + | 0.177285i | 0.0288863 | + | 0.0166775i | 0.514374 | − | 0.857566i | \(-0.328024\pi\) |
−0.485487 | + | 0.874244i | \(0.661358\pi\) | |||||||
\(114\) | −0.211893 | − | 0.367010i | −0.0198456 | − | 0.0343736i | ||||
\(115\) | −10.5906 | + | 9.62565i | −0.987574 | + | 0.897596i | ||||
\(116\) | 0.617154 | + | 1.06894i | 0.0573013 | + | 0.0992487i | ||||
\(117\) | 0.301874i | 0.0279082i | ||||||||
\(118\) | 1.10234 | − | 0.636434i | 0.101478 | − | 0.0585885i | ||||
\(119\) | 19.9314 | 1.82711 | ||||||||
\(120\) | −0.304762 | + | 0.953072i | −0.0278208 | + | 0.0870031i | ||||
\(121\) | −10.5878 | −0.962525 | ||||||||
\(122\) | − | 7.22013i | − | 0.653680i | ||||||
\(123\) | 0.925815 | + | 0.534520i | 0.0834780 | + | 0.0481960i | ||||
\(124\) | −1.42240 | − | 2.46368i | −0.127736 | − | 0.221245i | ||||
\(125\) | 8.95220 | − | 6.69762i | 0.800709 | − | 0.599054i | ||||
\(126\) | −3.86716 | + | 6.69812i | −0.344514 | + | 0.596716i | ||||
\(127\) | 4.32337 | + | 2.49610i | 0.383637 | + | 0.221493i | 0.679400 | − | 0.733769i | \(-0.262240\pi\) |
−0.295762 | + | 0.955262i | \(0.595574\pi\) | |||||||
\(128\) | −7.38893 | − | 4.26600i | −0.653096 | − | 0.377065i | ||||
\(129\) | −0.390128 | − | 0.675722i | −0.0343489 | − | 0.0594940i | ||||
\(130\) | 0.124269 | + | 0.136726i | 0.0108991 | + | 0.0119917i | ||||
\(131\) | 1.31234 | − | 2.27304i | 0.114660 | − | 0.198597i | −0.802984 | − | 0.596001i | \(-0.796756\pi\) |
0.917644 | + | 0.397404i | \(0.130089\pi\) | |||||||
\(132\) | 0.122559 | + | 0.0707592i | 0.0106674 | + | 0.00615880i | ||||
\(133\) | 8.75259 | + | 5.05331i | 0.758946 | + | 0.438178i | ||||
\(134\) | 1.43680 | 0.124121 | ||||||||
\(135\) | −1.62834 | + | 1.47998i | −0.140145 | + | 0.127376i | ||||
\(136\) | 8.46604 | − | 14.6636i | 0.725957 | − | 1.25739i | ||||
\(137\) | 14.6240i | 1.24942i | 0.780858 | + | 0.624708i | \(0.214782\pi\) | ||||
−0.780858 | + | 0.624708i | \(0.785218\pi\) | |||||||
\(138\) | − | 0.858039i | − | 0.0730411i | ||||||
\(139\) | −3.79921 | + | 6.58043i | −0.322245 | + | 0.558145i | −0.980951 | − | 0.194256i | \(-0.937771\pi\) |
0.658706 | + | 0.752401i | \(0.271104\pi\) | |||||||
\(140\) | −2.03223 | − | 9.34621i | −0.171755 | − | 0.789899i | ||||
\(141\) | 0.968518 | + | 1.67752i | 0.0815639 | + | 0.141273i | ||||
\(142\) | − | 10.2694i | − | 0.861786i | ||||||
\(143\) | 0.0564609 | − | 0.0325977i | 0.00472150 | − | 0.00272596i | ||||
\(144\) | −0.692039 | − | 1.19865i | −0.0576700 | − | 0.0998873i | ||||
\(145\) | 1.38755 | + | 1.52665i | 0.115230 | + | 0.126781i | ||||
\(146\) | 2.15231 | − | 3.72791i | 0.178126 | − | 0.308524i | ||||
\(147\) | 0.530874i | 0.0437857i | ||||||||
\(148\) | 6.16957 | + | 5.30672i | 0.507135 | + | 0.436209i | ||||
\(149\) | −7.00272 | −0.573685 | −0.286843 | − | 0.957978i | \(-0.592606\pi\) | ||||
−0.286843 | + | 0.957978i | \(0.592606\pi\) | |||||||
\(150\) | −0.0638426 | + | 0.667275i | −0.00521273 | + | 0.0544827i | ||||
\(151\) | −10.7456 | − | 18.6119i | −0.874462 | − | 1.51461i | −0.857335 | − | 0.514759i | \(-0.827881\pi\) |
−0.0171268 | − | 0.999853i | \(-0.505452\pi\) | |||||||
\(152\) | 7.43546 | − | 4.29287i | 0.603096 | − | 0.348197i | ||||
\(153\) | 16.0498 | − | 9.26638i | 1.29755 | − | 0.749143i | ||||
\(154\) | 1.67038 | 0.134603 | ||||||||
\(155\) | −3.19801 | − | 3.51859i | −0.256870 | − | 0.282620i | ||||
\(156\) | 0.0223819 | 0.00179199 | ||||||||
\(157\) | 17.0557 | + | 9.84711i | 1.36119 | + | 0.785885i | 0.989783 | − | 0.142584i | \(-0.0455410\pi\) |
0.371410 | + | 0.928469i | \(0.378874\pi\) | |||||||
\(158\) | 6.68966i | 0.532201i | ||||||||
\(159\) | −0.833846 | −0.0661283 | ||||||||
\(160\) | −12.3765 | − | 3.95760i | −0.978447 | − | 0.312876i | ||||
\(161\) | 10.2314 | + | 17.7213i | 0.806349 | + | 1.39664i | ||||
\(162\) | 7.12531i | 0.559817i | ||||||||
\(163\) | −3.33330 | − | 1.92448i | −0.261085 | − | 0.150737i | 0.363745 | − | 0.931499i | \(-0.381498\pi\) |
−0.624829 | + | 0.780761i | \(0.714831\pi\) | |||||||
\(164\) | −4.34046 | + | 7.51790i | −0.338933 | + | 0.587050i | ||||
\(165\) | 0.225293 | + | 0.0720416i | 0.0175391 | + | 0.00560843i | ||||
\(166\) | 4.62782 | + | 8.01563i | 0.359189 | + | 0.622133i | ||||
\(167\) | 18.1772 | − | 10.4946i | 1.40659 | − | 0.812097i | 0.411536 | − | 0.911393i | \(-0.364992\pi\) |
0.995058 | + | 0.0992960i | \(0.0316591\pi\) | |||||||
\(168\) | 1.23904 | + | 0.715358i | 0.0955937 | + | 0.0551911i | ||||
\(169\) | −6.49484 | + | 11.2494i | −0.499603 | + | 0.865339i | ||||
\(170\) | 3.45479 | − | 10.8041i | 0.264971 | − | 0.828634i | ||||
\(171\) | 9.39739 | 0.718637 | ||||||||
\(172\) | 5.48706 | − | 3.16796i | 0.418385 | − | 0.241555i | ||||
\(173\) | −13.5577 | − | 7.82753i | −1.03077 | − | 0.595116i | −0.113566 | − | 0.993530i | \(-0.536227\pi\) |
−0.917205 | + | 0.398414i | \(0.869561\pi\) | |||||||
\(174\) | −0.123688 | −0.00937675 | ||||||||
\(175\) | −6.63815 | − | 14.5427i | −0.501797 | − | 1.09933i | ||||
\(176\) | −0.149459 | + | 0.258871i | −0.0112659 | + | 0.0195132i | ||||
\(177\) | − | 0.257718i | − | 0.0193712i | ||||||
\(178\) | 0.364797 | − | 0.210616i | 0.0273427 | − | 0.0157863i | ||||
\(179\) | −23.1071 | −1.72710 | −0.863551 | − | 0.504261i | \(-0.831765\pi\) | ||||
−0.863551 | + | 0.504261i | \(0.831765\pi\) | |||||||
\(180\) | −5.98163 | − | 6.58125i | −0.445844 | − | 0.490537i | ||||
\(181\) | 7.52763 | + | 13.0382i | 0.559525 | + | 0.969125i | 0.997536 | + | 0.0701557i | \(0.0223496\pi\) |
−0.438011 | + | 0.898969i | \(0.644317\pi\) | |||||||
\(182\) | 0.228786 | − | 0.132090i | 0.0169588 | − | 0.00979116i | ||||
\(183\) | −1.26601 | − | 0.730931i | −0.0935861 | − | 0.0540319i | ||||
\(184\) | 17.3835 | 1.28153 | ||||||||
\(185\) | 11.9608 | + | 6.47605i | 0.879375 | + | 0.476129i | ||||
\(186\) | 0.285073 | 0.0209026 | ||||||||
\(187\) | −3.46628 | − | 2.00126i | −0.253479 | − | 0.146346i | ||||
\(188\) | −13.6220 | + | 7.86466i | −0.993486 | + | 0.573589i | ||||
\(189\) | 1.57312 | + | 2.72472i | 0.114428 | + | 0.198194i | ||||
\(190\) | 4.25632 | − | 3.86853i | 0.308786 | − | 0.280653i | ||||
\(191\) | 13.0682 | 0.945583 | 0.472792 | − | 0.881174i | \(-0.343246\pi\) | ||||
0.472792 | + | 0.881174i | \(0.343246\pi\) | |||||||
\(192\) | 0.541821 | − | 0.312820i | 0.0391025 | − | 0.0225759i | ||||
\(193\) | − | 14.1005i | − | 1.01498i | −0.861658 | − | 0.507489i | \(-0.830574\pi\) | ||
0.861658 | − | 0.507489i | \(-0.169426\pi\) | |||||||
\(194\) | 5.37802 | − | 9.31501i | 0.386120 | − | 0.668779i | ||||
\(195\) | 0.0365546 | − | 0.00794839i | 0.00261773 | − | 0.000569196i | ||||
\(196\) | −4.31085 | −0.307918 | ||||||||
\(197\) | 10.1389 | + | 5.85367i | 0.722363 | + | 0.417057i | 0.815622 | − | 0.578585i | \(-0.196395\pi\) |
−0.0932585 | + | 0.995642i | \(0.529728\pi\) | |||||||
\(198\) | 1.34508 | − | 0.776580i | 0.0955904 | − | 0.0551891i | ||||
\(199\) | 17.6944 | 1.25432 | 0.627160 | − | 0.778891i | \(-0.284217\pi\) | ||||
0.627160 | + | 0.778891i | \(0.284217\pi\) | |||||||
\(200\) | −13.5187 | − | 1.29342i | −0.955917 | − | 0.0914590i | ||||
\(201\) | 0.145455 | − | 0.251935i | 0.0102596 | − | 0.0177702i | ||||
\(202\) | 11.3399 | + | 6.54709i | 0.797872 | + | 0.460651i | ||||
\(203\) | 2.55456 | − | 1.47488i | 0.179295 | − | 0.103516i | ||||
\(204\) | −0.687042 | − | 1.18999i | −0.0481025 | − | 0.0833160i | ||||
\(205\) | −4.41913 | + | 13.8198i | −0.308645 | + | 0.965215i | ||||
\(206\) | −3.63858 | + | 6.30220i | −0.253512 | + | 0.439095i | ||||
\(207\) | 16.4778 | + | 9.51344i | 1.14528 | + | 0.661230i | ||||
\(208\) | 0.0472757i | 0.00327798i | ||||||||
\(209\) | −1.01478 | − | 1.75764i | −0.0701935 | − | 0.121579i | ||||
\(210\) | 0.912915 | + | 0.291921i | 0.0629971 | + | 0.0201445i | ||||
\(211\) | −16.6347 | −1.14518 | −0.572590 | − | 0.819842i | \(-0.694061\pi\) | ||||
−0.572590 | + | 0.819842i | \(0.694061\pi\) | |||||||
\(212\) | − | 6.77108i | − | 0.465040i | ||||||
\(213\) | −1.80068 | − | 1.03962i | −0.123380 | − | 0.0712336i | ||||
\(214\) | −4.65424 | −0.318158 | ||||||||
\(215\) | 7.83655 | − | 7.12256i | 0.534448 | − | 0.485755i | ||||
\(216\) | 2.67278 | 0.181860 | ||||||||
\(217\) | −5.88771 | + | 3.39927i | −0.399684 | + | 0.230758i | ||||
\(218\) | −10.8443 | + | 6.26096i | −0.734468 | + | 0.424045i | ||||
\(219\) | −0.435778 | − | 0.754790i | −0.0294471 | − | 0.0510040i | ||||
\(220\) | −0.584999 | + | 1.82945i | −0.0394407 | + | 0.123341i | ||||
\(221\) | −0.633020 | −0.0425815 | ||||||||
\(222\) | −0.769654 | + | 0.269525i | −0.0516558 | + | 0.0180893i | ||||
\(223\) | − | 15.2466i | − | 1.02099i | −0.859880 | − | 0.510495i | \(-0.829462\pi\) | ||
0.859880 | − | 0.510495i | \(-0.170538\pi\) | |||||||
\(224\) | −9.28955 | + | 16.0900i | −0.620684 | + | 1.07506i | ||||
\(225\) | −12.1065 | − | 8.62439i | −0.807098 | − | 0.574959i | ||||
\(226\) | −0.144260 | − | 0.249866i | −0.00959606 | − | 0.0166209i | ||||
\(227\) | −2.76353 | + | 1.59553i | −0.183422 | + | 0.105899i | −0.588899 | − | 0.808206i | \(-0.700439\pi\) |
0.405477 | + | 0.914105i | \(0.367105\pi\) | |||||||
\(228\) | − | 0.696755i | − | 0.0461437i | ||||||
\(229\) | −11.0161 | − | 19.0804i | −0.727963 | − | 1.26087i | −0.957743 | − | 0.287626i | \(-0.907134\pi\) |
0.229780 | − | 0.973242i | \(-0.426199\pi\) | |||||||
\(230\) | 11.3795 | − | 2.47435i | 0.750343 | − | 0.163154i | ||||
\(231\) | 0.169101 | − | 0.292891i | 0.0111260 | − | 0.0192708i | ||||
\(232\) | − | 2.50586i | − | 0.164518i | ||||||
\(233\) | 14.8089i | 0.970166i | 0.874468 | + | 0.485083i | \(0.161211\pi\) | ||||
−0.874468 | + | 0.485083i | \(0.838789\pi\) | |||||||
\(234\) | 0.122821 | − | 0.212731i | 0.00802903 | − | 0.0139067i | ||||
\(235\) | −19.4547 | + | 17.6822i | −1.26909 | + | 1.15346i | ||||
\(236\) | 2.09275 | 0.136226 | ||||||||
\(237\) | 1.17299 | + | 0.677228i | 0.0761942 | + | 0.0439907i | ||||
\(238\) | −14.0458 | − | 8.10933i | −0.910452 | − | 0.525650i | ||||
\(239\) | −8.75794 | + | 15.1692i | −0.566504 | + | 0.981213i | 0.430404 | + | 0.902636i | \(0.358371\pi\) |
−0.996908 | + | 0.0785770i | \(0.974962\pi\) | |||||||
\(240\) | −0.126926 | + | 0.115361i | −0.00819301 | + | 0.00744655i | ||||
\(241\) | −2.65023 | − | 4.59033i | −0.170716 | − | 0.295689i | 0.767954 | − | 0.640505i | \(-0.221275\pi\) |
−0.938671 | + | 0.344815i | \(0.887942\pi\) | |||||||
\(242\) | 7.46125 | + | 4.30775i | 0.479627 | + | 0.276913i | ||||
\(243\) | 3.80603 | + | 2.19741i | 0.244157 | + | 0.140964i | ||||
\(244\) | 5.93538 | − | 10.2804i | 0.379974 | − | 0.658134i | ||||
\(245\) | −7.04057 | + | 1.53089i | −0.449805 | + | 0.0978052i | ||||
\(246\) | −0.434951 | − | 0.753356i | −0.0277314 | − | 0.0480323i | ||||
\(247\) | −0.277981 | − | 0.160493i | −0.0176875 | − | 0.0102119i | ||||
\(248\) | 5.77547i | 0.366743i | ||||||||
\(249\) | 1.87399 | 0.118759 | ||||||||
\(250\) | −9.03365 | + | 1.07754i | −0.571338 | + | 0.0681497i | ||||
\(251\) | 22.5226 | 1.42161 | 0.710806 | − | 0.703388i | \(-0.248330\pi\) | ||||
0.710806 | + | 0.703388i | \(0.248330\pi\) | |||||||
\(252\) | −11.0125 | + | 6.35808i | −0.693723 | + | 0.400521i | ||||
\(253\) | − | 4.10923i | − | 0.258345i | ||||||
\(254\) | −2.03113 | − | 3.51802i | −0.127445 | − | 0.220740i | ||||
\(255\) | −1.54468 | − | 1.69953i | −0.0967319 | − | 0.106429i | ||||
\(256\) | 7.26875 | + | 12.5898i | 0.454297 | + | 0.786866i | ||||
\(257\) | −2.94525 | − | 1.70044i | −0.183719 | − | 0.106070i | 0.405320 | − | 0.914175i | \(-0.367160\pi\) |
−0.589039 | + | 0.808105i | \(0.700494\pi\) | |||||||
\(258\) | 0.634912i | 0.0395279i | ||||||||
\(259\) | 12.6820 | − | 14.7441i | 0.788023 | − | 0.916153i | ||||
\(260\) | 0.0645434 | + | 0.296834i | 0.00400281 | + | 0.0184089i | ||||
\(261\) | 1.37138 | − | 2.37530i | 0.0848863 | − | 0.147027i | ||||
\(262\) | −1.84962 | + | 1.06788i | −0.114270 | + | 0.0659739i | ||||
\(263\) | −5.58303 | + | 3.22336i | −0.344264 | + | 0.198761i | −0.662156 | − | 0.749366i | \(-0.730358\pi\) |
0.317892 | + | 0.948127i | \(0.397025\pi\) | |||||||
\(264\) | −0.143654 | − | 0.248816i | −0.00884128 | − | 0.0153135i | ||||
\(265\) | −2.40458 | − | 11.0587i | −0.147712 | − | 0.679328i | ||||
\(266\) | −4.11199 | − | 7.12218i | −0.252122 | − | 0.436689i | ||||
\(267\) | − | 0.0852868i | − | 0.00521947i | ||||||
\(268\) | 2.04579 | + | 1.18114i | 0.124967 | + | 0.0721495i | ||||
\(269\) | −14.5054 | −0.884411 | −0.442206 | − | 0.896914i | \(-0.645804\pi\) | ||||
−0.442206 | + | 0.896914i | \(0.645804\pi\) | |||||||
\(270\) | 1.74964 | − | 0.380440i | 0.106480 | − | 0.0231529i | ||||
\(271\) | 5.34498 | − | 9.25778i | 0.324684 | − | 0.562370i | −0.656764 | − | 0.754096i | \(-0.728075\pi\) |
0.981448 | + | 0.191726i | \(0.0614086\pi\) | |||||||
\(272\) | 2.51353 | − | 1.45119i | 0.152405 | − | 0.0879911i | ||||
\(273\) | − | 0.0534885i | − | 0.00323727i | ||||||
\(274\) | 5.94996 | − | 10.3056i | 0.359450 | − | 0.622586i | ||||
\(275\) | −0.305748 | + | 3.19564i | −0.0184373 | + | 0.192704i | ||||
\(276\) | 0.705359 | − | 1.22172i | 0.0424576 | − | 0.0735388i | ||||
\(277\) | −25.3010 | + | 14.6076i | −1.52019 | + | 0.877684i | −0.520476 | + | 0.853876i | \(0.674245\pi\) |
−0.999717 | + | 0.0238071i | \(0.992421\pi\) | |||||||
\(278\) | 5.35464 | − | 3.09150i | 0.321150 | − | 0.185416i | ||||
\(279\) | −3.16073 | + | 5.47454i | −0.189228 | + | 0.327752i | ||||
\(280\) | −5.91420 | + | 18.4953i | −0.353441 | + | 1.10530i | ||||
\(281\) | 10.5447 | − | 18.2640i | 0.629046 | − | 1.08954i | −0.358698 | − | 0.933454i | \(-0.616779\pi\) |
0.987744 | − | 0.156085i | \(-0.0498875\pi\) | |||||||
\(282\) | − | 1.57621i | − | 0.0938619i | ||||||
\(283\) | −6.33980 | + | 3.66029i | −0.376862 | + | 0.217582i | −0.676452 | − | 0.736487i | \(-0.736483\pi\) |
0.299590 | + | 0.954068i | \(0.403150\pi\) | |||||||
\(284\) | 8.44203 | − | 14.6220i | 0.500943 | − | 0.867658i | ||||
\(285\) | −0.247435 | − | 1.13795i | −0.0146568 | − | 0.0674065i | ||||
\(286\) | −0.0530510 | −0.00313697 | ||||||||
\(287\) | 17.9663 | + | 10.3729i | 1.06052 | + | 0.612291i | ||||
\(288\) | 17.2753i | 1.01796i | ||||||||
\(289\) | 10.9313 | + | 18.9336i | 0.643020 | + | 1.11374i | ||||
\(290\) | −0.356682 | − | 1.64038i | −0.0209451 | − | 0.0963262i | ||||
\(291\) | −1.08889 | − | 1.88601i | −0.0638318 | − | 0.110560i | ||||
\(292\) | 6.12912 | − | 3.53865i | 0.358680 | − | 0.207084i | ||||
\(293\) | −21.1788 | + | 12.2276i | −1.23728 | + | 0.714342i | −0.968537 | − | 0.248871i | \(-0.919941\pi\) |
−0.268740 | + | 0.963213i | \(0.586607\pi\) | |||||||
\(294\) | 0.215992 | − | 0.374109i | 0.0125969 | − | 0.0218185i | ||||
\(295\) | 3.41791 | − | 0.743187i | 0.198998 | − | 0.0432700i | ||||
\(296\) | −5.46046 | − | 15.5929i | −0.317383 | − | 0.906316i | ||||
\(297\) | − | 0.631809i | − | 0.0366612i | ||||||
\(298\) | 4.93484 | + | 2.84913i | 0.285868 | + | 0.165046i | ||||
\(299\) | −0.324949 | − | 0.562828i | −0.0187923 | − | 0.0325492i | ||||
\(300\) | −0.639442 | + | 0.897616i | −0.0369182 | + | 0.0518239i | ||||
\(301\) | −7.57081 | − | 13.1130i | −0.436374 | − | 0.755822i | ||||
\(302\) | 17.4878i | 1.00631i | ||||||||
\(303\) | 2.29599 | − | 1.32559i | 0.131901 | − | 0.0761531i | ||||
\(304\) | 1.47170 | 0.0844080 | ||||||||
\(305\) | 6.04295 | − | 18.8979i | 0.346018 | − | 1.08209i | ||||
\(306\) | −15.0805 | −0.862096 | ||||||||
\(307\) | − | 22.6012i | − | 1.28992i | −0.764217 | − | 0.644960i | \(-0.776874\pi\) | ||
0.764217 | − | 0.644960i | \(-0.223126\pi\) | |||||||
\(308\) | 2.37837 | + | 1.37315i | 0.135520 | + | 0.0782425i | ||||
\(309\) | 0.736703 | + | 1.27601i | 0.0419096 | + | 0.0725895i | ||||
\(310\) | 0.822073 | + | 3.78071i | 0.0466906 | + | 0.214730i | ||||
\(311\) | −13.8547 | + | 23.9970i | −0.785625 | + | 1.36074i | 0.143000 | + | 0.989723i | \(0.454325\pi\) |
−0.928625 | + | 0.371020i | \(0.879008\pi\) | |||||||
\(312\) | −0.0393516 | − | 0.0227197i | −0.00222785 | − | 0.00128625i | ||||
\(313\) | −10.7563 | − | 6.21015i | −0.607982 | − | 0.351019i | 0.164193 | − | 0.986428i | \(-0.447498\pi\) |
−0.772175 | + | 0.635410i | \(0.780831\pi\) | |||||||
\(314\) | −8.01281 | − | 13.8786i | −0.452189 | − | 0.783215i | ||||
\(315\) | −15.7279 | + | 14.2949i | −0.886168 | + | 0.805429i | ||||
\(316\) | −5.49930 | + | 9.52507i | −0.309360 | + | 0.535827i | ||||
\(317\) | −10.6986 | − | 6.17681i | −0.600891 | − | 0.346924i | 0.168501 | − | 0.985701i | \(-0.446107\pi\) |
−0.769392 | + | 0.638777i | \(0.779441\pi\) | |||||||
\(318\) | 0.587615 | + | 0.339259i | 0.0329518 | + | 0.0190247i | ||||
\(319\) | −0.592352 | −0.0331654 | ||||||||
\(320\) | 5.71116 | + | 6.28366i | 0.319263 | + | 0.351267i | ||||
\(321\) | −0.471173 | + | 0.816095i | −0.0262983 | + | 0.0455500i | ||||
\(322\) | − | 16.6511i | − | 0.927928i | ||||||
\(323\) | 19.7061i | 1.09647i | ||||||||
\(324\) | −5.85743 | + | 10.1454i | −0.325413 | + | 0.563631i | ||||
\(325\) | 0.210827 | + | 0.461874i | 0.0116946 | + | 0.0256202i | ||||
\(326\) | 1.56600 | + | 2.71238i | 0.0867325 | + | 0.150225i | ||||
\(327\) | 2.53531i | 0.140203i | ||||||||
\(328\) | 15.2627 | − | 8.81192i | 0.842741 | − | 0.486557i | ||||
\(329\) | 18.7950 | + | 32.5539i | 1.03620 | + | 1.79476i | ||||
\(330\) | −0.129454 | − | 0.142431i | −0.00712621 | − | 0.00784057i | ||||
\(331\) | 3.38954 | − | 5.87086i | 0.186306 | − | 0.322691i | −0.757710 | − | 0.652592i | \(-0.773682\pi\) |
0.944016 | + | 0.329900i | \(0.107015\pi\) | |||||||
\(332\) | 15.2174i | 0.835163i | ||||||||
\(333\) | 3.35752 | − | 17.7687i | 0.183991 | − | 0.973721i | ||||
\(334\) | −17.0794 | −0.934543 | ||||||||
\(335\) | 3.76068 | + | 1.20254i | 0.205468 | + | 0.0657020i | ||||
\(336\) | 0.122621 | + | 0.212387i | 0.00668955 | + | 0.0115866i | ||||
\(337\) | −18.1249 | + | 10.4644i | −0.987327 | + | 0.570034i | −0.904474 | − | 0.426528i | \(-0.859736\pi\) |
−0.0828528 | + | 0.996562i | \(0.526403\pi\) | |||||||
\(338\) | 9.15389 | − | 5.28500i | 0.497906 | − | 0.287466i | ||||
\(339\) | −0.0584169 | −0.00317277 | ||||||||
\(340\) | 13.8007 | − | 12.5433i | 0.748447 | − | 0.680256i | ||||
\(341\) | 1.36524 | 0.0739320 | ||||||||
\(342\) | −6.62238 | − | 3.82343i | −0.358097 | − | 0.206748i | ||||
\(343\) | − | 12.0784i | − | 0.652173i | ||||||
\(344\) | −12.8630 | −0.693529 | ||||||||
\(345\) | 0.718143 | − | 2.24582i | 0.0386635 | − | 0.120911i | ||||
\(346\) | 6.36943 | + | 11.0322i | 0.342423 | + | 0.593094i | ||||
\(347\) | 0.0853562i | 0.00458216i | 0.999997 | + | 0.00229108i | \(0.000729274\pi\) | ||||
−0.999997 | + | 0.00229108i | \(0.999271\pi\) | |||||||
\(348\) | −0.176113 | − | 0.101679i | −0.00944064 | − | 0.00545056i | ||||
\(349\) | 0.338963 | − | 0.587100i | 0.0181443 | − | 0.0314268i | −0.856811 | − | 0.515631i | \(-0.827558\pi\) |
0.874955 | + | 0.484204i | \(0.160891\pi\) | |||||||
\(350\) | −1.23893 | + | 12.9491i | −0.0662235 | + | 0.692159i | ||||
\(351\) | −0.0499621 | − | 0.0865368i | −0.00266678 | − | 0.00461899i | ||||
\(352\) | 3.23109 | − | 1.86547i | 0.172218 | − | 0.0994300i | ||||
\(353\) | −8.64969 | − | 4.99390i | −0.460376 | − | 0.265798i | 0.251826 | − | 0.967773i | \(-0.418969\pi\) |
−0.712203 | + | 0.701974i | \(0.752302\pi\) | |||||||
\(354\) | −0.104855 | + | 0.181615i | −0.00557300 | + | 0.00965271i | ||||
\(355\) | 8.59503 | − | 26.8789i | 0.456177 | − | 1.42659i | ||||
\(356\) | 0.692555 | 0.0367053 | ||||||||
\(357\) | −2.84385 | + | 1.64190i | −0.150512 | + | 0.0868984i | ||||
\(358\) | 16.2836 | + | 9.40136i | 0.860617 | + | 0.496877i | ||||
\(359\) | −11.5714 | −0.610717 | −0.305358 | − | 0.952237i | \(-0.598776\pi\) | ||||
−0.305358 | + | 0.952237i | \(0.598776\pi\) | |||||||
\(360\) | 3.83627 | + | 17.6430i | 0.202189 | + | 0.929865i | ||||
\(361\) | 4.50383 | − | 7.80086i | 0.237044 | − | 0.410572i | ||||
\(362\) | − | 12.2508i | − | 0.643888i | ||||||
\(363\) | 1.51068 | − | 0.872192i | 0.0792902 | − | 0.0457782i | ||||
\(364\) | 0.434343 | 0.0227658 | ||||||||
\(365\) | 8.75353 | − | 7.95599i | 0.458181 | − | 0.416436i | ||||
\(366\) | 0.594774 | + | 1.03018i | 0.0310894 | + | 0.0538483i | ||||
\(367\) | 22.1096 | − | 12.7650i | 1.15411 | − | 0.666327i | 0.204226 | − | 0.978924i | \(-0.434532\pi\) |
0.949886 | + | 0.312597i | \(0.101199\pi\) | |||||||
\(368\) | 2.58054 | + | 1.48988i | 0.134520 | + | 0.0776653i | ||||
\(369\) | 19.2899 | 1.00419 | ||||||||
\(370\) | −5.79397 | − | 9.43008i | −0.301214 | − | 0.490247i | ||||
\(371\) | −16.1816 | −0.840106 | ||||||||
\(372\) | 0.405902 | + | 0.234347i | 0.0210450 | + | 0.0121503i | ||||
\(373\) | 24.9931 | − | 14.4298i | 1.29409 | − | 0.747146i | 0.314717 | − | 0.949186i | \(-0.398090\pi\) |
0.979377 | + | 0.202040i | \(0.0647570\pi\) | |||||||
\(374\) | 1.62847 | + | 2.82059i | 0.0842060 | + | 0.145849i | ||||
\(375\) | −0.725582 | + | 1.69308i | −0.0374689 | + | 0.0874305i | ||||
\(376\) | 31.9333 | 1.64684 | ||||||||
\(377\) | −0.0811326 | + | 0.0468419i | −0.00417854 | + | 0.00241248i | ||||
\(378\) | − | 2.56016i | − | 0.131681i | ||||||
\(379\) | −4.47352 | + | 7.74836i | −0.229789 | + | 0.398006i | −0.957745 | − | 0.287617i | \(-0.907137\pi\) |
0.727956 | + | 0.685623i | \(0.240470\pi\) | |||||||
\(380\) | 9.24053 | − | 2.00925i | 0.474029 | − | 0.103072i | ||||
\(381\) | −0.822487 | −0.0421373 | ||||||||
\(382\) | −9.20923 | − | 5.31695i | −0.471185 | − | 0.272039i | ||||
\(383\) | 6.93924 | − | 4.00637i | 0.354579 | − | 0.204716i | −0.312121 | − | 0.950042i | \(-0.601040\pi\) |
0.666700 | + | 0.745326i | \(0.267706\pi\) | |||||||
\(384\) | 1.40569 | 0.0717336 | ||||||||
\(385\) | 4.37203 | + | 1.39804i | 0.222819 | + | 0.0712505i | ||||
\(386\) | −5.73696 | + | 9.93670i | −0.292003 | + | 0.505765i | ||||
\(387\) | −12.1928 | − | 7.03953i | −0.619796 | − | 0.357840i | ||||
\(388\) | 15.3150 | − | 8.84211i | 0.777501 | − | 0.448890i | ||||
\(389\) | −3.21861 | − | 5.57480i | −0.163190 | − | 0.282653i | 0.772821 | − | 0.634624i | \(-0.218845\pi\) |
−0.936011 | + | 0.351971i | \(0.885512\pi\) | |||||||
\(390\) | −0.0289941 | − | 0.00927138i | −0.00146817 | − | 0.000469474i | ||||
\(391\) | −19.9494 | + | 34.5534i | −1.00889 | + | 1.74744i | ||||
\(392\) | 7.57929 | + | 4.37590i | 0.382812 | + | 0.221016i | ||||
\(393\) | 0.432428i | 0.0218131i | ||||||||
\(394\) | −4.76326 | − | 8.25021i | −0.239970 | − | 0.415640i | ||||
\(395\) | −5.59897 | + | 17.5095i | −0.281715 | + | 0.880996i | ||||
\(396\) | 2.55358 | 0.128322 | ||||||||
\(397\) | − | 21.6277i | − | 1.08546i | −0.839906 | − | 0.542732i | \(-0.817390\pi\) | ||
0.839906 | − | 0.542732i | \(-0.182610\pi\) | |||||||
\(398\) | −12.4693 | − | 7.19914i | −0.625029 | − | 0.360860i | ||||
\(399\) | −1.66511 | −0.0833598 | ||||||||
\(400\) | −1.89597 | − | 1.35065i | −0.0947984 | − | 0.0675323i | ||||
\(401\) | 1.41489 | 0.0706561 | 0.0353281 | − | 0.999376i | \(-0.488752\pi\) | ||||
0.0353281 | + | 0.999376i | \(0.488752\pi\) | |||||||
\(402\) | −0.205005 | + | 0.118360i | −0.0102247 | + | 0.00590326i | ||||
\(403\) | 0.186993 | − | 0.107960i | 0.00931478 | − | 0.00537789i | ||||
\(404\) | 10.7642 | + | 18.6441i | 0.535539 | + | 0.927580i | ||||
\(405\) | −5.96358 | + | 18.6497i | −0.296333 | + | 0.926712i | ||||
\(406\) | −2.40028 | −0.119124 | ||||||||
\(407\) | −3.68594 | + | 1.29078i | −0.182705 | + | 0.0639815i | ||||
\(408\) | 2.78963i | 0.138107i | ||||||||
\(409\) | 6.99949 | − | 12.1235i | 0.346102 | − | 0.599467i | −0.639451 | − | 0.768832i | \(-0.720838\pi\) |
0.985553 | + | 0.169365i | \(0.0541716\pi\) | |||||||
\(410\) | 8.73691 | − | 7.94089i | 0.431485 | − | 0.392172i | ||||
\(411\) | −1.20469 | − | 2.08658i | −0.0594229 | − | 0.102923i | ||||
\(412\) | −10.3616 | + | 5.98225i | −0.510478 | + | 0.294724i | ||||
\(413\) | − | 5.00126i | − | 0.246096i | ||||||
\(414\) | −7.74130 | − | 13.4083i | −0.380464 | − | 0.658983i | ||||
\(415\) | 5.40408 | + | 24.8533i | 0.265276 | + | 1.22000i | ||||
\(416\) | 0.295035 | − | 0.511016i | 0.0144653 | − | 0.0250546i | ||||
\(417\) | − | 1.25187i | − | 0.0613046i | ||||||
\(418\) | 1.65149i | 0.0807770i | ||||||||
\(419\) | 18.8665 | − | 32.6778i | 0.921690 | − | 1.59641i | 0.124891 | − | 0.992170i | \(-0.460142\pi\) |
0.796799 | − | 0.604244i | \(-0.206525\pi\) | |||||||
\(420\) | 1.05988 | + | 1.16612i | 0.0517167 | + | 0.0569009i | ||||
\(421\) | 21.9029 | 1.06748 | 0.533740 | − | 0.845648i | \(-0.320786\pi\) | ||||
0.533740 | + | 0.845648i | \(0.320786\pi\) | |||||||
\(422\) | 11.7225 | + | 6.76801i | 0.570645 | + | 0.329462i | ||||
\(423\) | 30.2695 | + | 17.4761i | 1.47175 | + | 0.849717i | ||||
\(424\) | −6.87326 | + | 11.9048i | −0.333795 | + | 0.578150i | ||||
\(425\) | 18.0851 | − | 25.3869i | 0.877256 | − | 1.23145i | ||||
\(426\) | 0.845962 | + | 1.46525i | 0.0409870 | + | 0.0709916i | ||||
\(427\) | −24.5681 | − | 14.1844i | −1.18893 | − | 0.686432i | ||||
\(428\) | −6.62694 | − | 3.82607i | −0.320325 | − | 0.184940i | ||||
\(429\) | −0.00537062 | + | 0.00930219i | −0.000259296 | + | 0.000449114i | ||||
\(430\) | −8.42034 | + | 1.83091i | −0.406065 | + | 0.0882944i | ||||
\(431\) | −8.34600 | − | 14.4557i | −0.402013 | − | 0.696306i | 0.591956 | − | 0.805970i | \(-0.298356\pi\) |
−0.993969 | + | 0.109664i | \(0.965023\pi\) | |||||||
\(432\) | 0.396768 | + | 0.229074i | 0.0190895 | + | 0.0110213i | ||||
\(433\) | − | 2.95622i | − | 0.142067i | −0.997474 | − | 0.0710334i | \(-0.977370\pi\) | ||
0.997474 | − | 0.0710334i | \(-0.0226297\pi\) | |||||||
\(434\) | 5.53212 | 0.265550 | ||||||||
\(435\) | −0.323739 | − | 0.103522i | −0.0155221 | − | 0.00496348i | ||||
\(436\) | −20.5875 | −0.985963 | ||||||||
\(437\) | −17.5210 | + | 10.1157i | −0.838141 | + | 0.483901i | ||||
\(438\) | 0.709204i | 0.0338871i | ||||||||
\(439\) | 13.0712 | + | 22.6400i | 0.623853 | + | 1.08055i | 0.988761 | + | 0.149502i | \(0.0477671\pi\) |
−0.364908 | + | 0.931044i | \(0.618900\pi\) | |||||||
\(440\) | 2.88559 | − | 2.62269i | 0.137565 | − | 0.125032i | ||||
\(441\) | 4.78958 | + | 8.29580i | 0.228075 | + | 0.395038i | ||||
\(442\) | 0.446092 | + | 0.257551i | 0.0212184 | + | 0.0122505i | ||||
\(443\) | 7.53036i | 0.357778i | 0.983869 | + | 0.178889i | \(0.0572503\pi\) | ||||
−0.983869 | + | 0.178889i | \(0.942750\pi\) | |||||||
\(444\) | −1.31744 | − | 0.248938i | −0.0625227 | − | 0.0118141i | ||||
\(445\) | 1.13109 | − | 0.245944i | 0.0536190 | − | 0.0116589i | ||||
\(446\) | −6.20327 | + | 10.7444i | −0.293733 | + | 0.508761i | ||||
\(447\) | 0.999159 | − | 0.576865i | 0.0472586 | − | 0.0272848i | ||||
\(448\) | 10.5146 | − | 6.07058i | 0.496766 | − | 0.286808i | ||||
\(449\) | −13.2343 | − | 22.9225i | −0.624565 | − | 1.08178i | −0.988625 | − | 0.150402i | \(-0.951943\pi\) |
0.364060 | − | 0.931375i | \(-0.381390\pi\) | |||||||
\(450\) | 5.02256 | + | 11.0033i | 0.236766 | + | 0.518700i | ||||
\(451\) | −2.08302 | − | 3.60789i | −0.0980854 | − | 0.169889i | ||||
\(452\) | − | 0.474363i | − | 0.0223122i | ||||||
\(453\) | 3.06639 | + | 1.77038i | 0.144071 | + | 0.0831797i | ||||
\(454\) | 2.59663 | 0.121866 | ||||||||
\(455\) | 0.709377 | − | 0.154246i | 0.0332561 | − | 0.00723118i | ||||
\(456\) | −0.707269 | + | 1.22503i | −0.0331209 | + | 0.0573671i | ||||
\(457\) | 22.3907 | − | 12.9273i | 1.04739 | − | 0.604713i | 0.125475 | − | 0.992097i | \(-0.459955\pi\) |
0.921918 | + | 0.387384i | \(0.126621\pi\) | |||||||
\(458\) | 17.9280i | 0.837722i | ||||||||
\(459\) | −3.06729 | + | 5.31271i | −0.143169 | + | 0.247976i | ||||
\(460\) | 18.2368 | + | 5.83154i | 0.850294 | + | 0.271897i | ||||
\(461\) | 3.14316 | − | 5.44411i | 0.146392 | − | 0.253558i | −0.783500 | − | 0.621392i | \(-0.786567\pi\) |
0.929891 | + | 0.367835i | \(0.119901\pi\) | |||||||
\(462\) | −0.238332 | + | 0.137601i | −0.0110882 | + | 0.00640178i | ||||
\(463\) | −23.1188 | + | 13.3476i | −1.07442 | + | 0.620317i | −0.929386 | − | 0.369110i | \(-0.879663\pi\) |
−0.145034 | + | 0.989427i | \(0.546329\pi\) | |||||||
\(464\) | 0.214769 | − | 0.371990i | 0.00997038 | − | 0.0172692i | ||||
\(465\) | 0.746148 | + | 0.238594i | 0.0346018 | + | 0.0110646i | ||||
\(466\) | 6.02518 | − | 10.4359i | 0.279111 | − | 0.483435i | ||||
\(467\) | − | 21.9373i | − | 1.01514i | −0.861612 | − | 0.507568i | \(-0.830545\pi\) | ||
0.861612 | − | 0.507568i | \(-0.169455\pi\) | |||||||
\(468\) | 0.349756 | − | 0.201932i | 0.0161675 | − | 0.00933430i | ||||
\(469\) | 2.82269 | − | 4.88905i | 0.130340 | − | 0.225755i | ||||
\(470\) | 20.9040 | − | 4.54535i | 0.964232 | − | 0.209662i | ||||
\(471\) | −3.24471 | −0.149508 | ||||||||
\(472\) | −3.67944 | − | 2.12432i | −0.169360 | − | 0.0977800i | ||||
\(473\) | 3.04065i | 0.139809i | ||||||||
\(474\) | −0.551076 | − | 0.954491i | −0.0253118 | − | 0.0438412i | ||||
\(475\) | 14.3783 | − | 6.56309i | 0.659720 | − | 0.301135i | ||||
\(476\) | −13.3327 | − | 23.0929i | −0.611103 | − | 1.05846i | ||||
\(477\) | −13.0303 | + | 7.52303i | −0.596615 | + | 0.344456i | ||||
\(478\) | 12.3435 | − | 7.12653i | 0.564579 | − | 0.325960i | ||||
\(479\) | 13.2461 | − | 22.9428i | 0.605227 | − | 1.04828i | −0.386788 | − | 0.922169i | \(-0.626415\pi\) |
0.992015 | − | 0.126116i | \(-0.0402512\pi\) | |||||||
\(480\) | 2.09191 | − | 0.454863i | 0.0954823 | − | 0.0207616i | ||||
\(481\) | −0.402780 | + | 0.468270i | −0.0183652 | + | 0.0213513i | ||||
\(482\) | 4.31310i | 0.196456i | ||||||||
\(483\) | −2.91967 | − | 1.68567i | −0.132850 | − | 0.0767008i | ||||
\(484\) | 7.08246 | + | 12.2672i | 0.321930 | + | 0.557599i | ||||
\(485\) | 21.8727 | − | 19.8798i | 0.993186 | − | 0.902697i | ||||
\(486\) | −1.78808 | − | 3.09705i | −0.0811091 | − | 0.140485i | ||||
\(487\) | 6.69402i | 0.303335i | 0.988432 | + | 0.151667i | \(0.0484643\pi\) | ||||
−0.988432 | + | 0.151667i | \(0.951536\pi\) | |||||||
\(488\) | −20.8710 | + | 12.0499i | −0.944786 | + | 0.545472i | ||||
\(489\) | 0.634135 | 0.0286766 | ||||||||
\(490\) | 5.58438 | + | 1.78571i | 0.252276 | + | 0.0806699i | ||||
\(491\) | −19.4141 | −0.876148 | −0.438074 | − | 0.898939i | \(-0.644339\pi\) | ||||
−0.438074 | + | 0.898939i | \(0.644339\pi\) | |||||||
\(492\) | − | 1.43022i | − | 0.0644794i | ||||||
\(493\) | 4.98093 | + | 2.87574i | 0.224330 | + | 0.129517i | ||||
\(494\) | 0.130596 | + | 0.226199i | 0.00587581 | + | 0.0101772i | ||||
\(495\) | 4.17055 | − | 0.906841i | 0.187452 | − | 0.0407595i | ||||
\(496\) | −0.494995 | + | 0.857356i | −0.0222259 | + | 0.0384964i | ||||
\(497\) | −34.9438 | − | 20.1748i | −1.56745 | − | 0.904965i | ||||
\(498\) | −1.32061 | − | 0.762455i | −0.0591780 | − | 0.0341664i | ||||
\(499\) | 10.3922 | + | 17.9999i | 0.465220 | + | 0.805785i | 0.999211 | − | 0.0397052i | \(-0.0126419\pi\) |
−0.533991 | + | 0.845490i | \(0.679309\pi\) | |||||||
\(500\) | −13.7484 | − | 5.89195i | −0.614845 | − | 0.263496i | ||||
\(501\) | −1.72903 | + | 2.99478i | −0.0772475 | + | 0.133797i | ||||
\(502\) | −15.8718 | − | 9.16356i | −0.708391 | − | 0.408990i | ||||
\(503\) | −5.38085 | − | 3.10663i | −0.239920 | − | 0.138518i | 0.375220 | − | 0.926936i | \(-0.377567\pi\) |
−0.615140 | + | 0.788418i | \(0.710901\pi\) | |||||||
\(504\) | 25.8161 | 1.14994 | ||||||||
\(505\) | 24.2013 | + | 26.6273i | 1.07694 | + | 1.18490i | ||||
\(506\) | −1.67188 | + | 2.89579i | −0.0743243 | + | 0.128733i | ||||
\(507\) | − | 2.14011i | − | 0.0950456i | ||||||
\(508\) | − | 6.67884i | − | 0.296326i | ||||||
\(509\) | −10.8310 | + | 18.7598i | −0.480075 | + | 0.831514i | −0.999739 | − | 0.0228568i | \(-0.992724\pi\) |
0.519664 | + | 0.854371i | \(0.326057\pi\) | |||||||
\(510\) | 0.397073 | + | 1.82614i | 0.0175827 | + | 0.0808627i | ||||
\(511\) | −8.45669 | − | 14.6474i | −0.374102 | − | 0.647964i | ||||
\(512\) | 5.23452i | 0.231335i | ||||||||
\(513\) | −2.69391 | + | 1.55533i | −0.118939 | + | 0.0686695i | ||||
\(514\) | 1.38368 | + | 2.39661i | 0.0610317 | + | 0.105710i | ||||
\(515\) | −14.7982 | + | 13.4500i | −0.652089 | + | 0.592677i | ||||
\(516\) | −0.521935 | + | 0.904018i | −0.0229769 | + | 0.0397972i | ||||
\(517\) | − | 7.54861i | − | 0.331987i | ||||||
\(518\) | −14.9359 | + | 5.23039i | −0.656244 | + | 0.229810i | ||||
\(519\) | 2.57924 | 0.113216 | ||||||||
\(520\) | 0.187834 | − | 0.587408i | 0.00823707 | − | 0.0257595i | ||||
\(521\) | −4.89861 | − | 8.48465i | −0.214612 | − | 0.371719i | 0.738540 | − | 0.674209i | \(-0.235515\pi\) |
−0.953153 | + | 0.302490i | \(0.902182\pi\) | |||||||
\(522\) | −1.93283 | + | 1.11592i | −0.0845978 | + | 0.0488426i | ||||
\(523\) | −31.5543 | + | 18.2179i | −1.37977 | + | 0.796613i | −0.992132 | − | 0.125197i | \(-0.960044\pi\) |
−0.387642 | + | 0.921810i | \(0.626710\pi\) | |||||||
\(524\) | −3.51145 | −0.153398 | ||||||||
\(525\) | 2.14513 | + | 1.52814i | 0.0936211 | + | 0.0666936i | ||||
\(526\) | 5.24585 | 0.228730 | ||||||||
\(527\) | −11.4800 | − | 6.62796i | −0.500075 | − | 0.288718i | ||||
\(528\) | − | 0.0492482i | − | 0.00214325i | ||||||
\(529\) | −17.9626 | −0.780983 | ||||||||
\(530\) | −2.80482 | + | 8.77141i | −0.121833 | + | 0.381006i | ||||
\(531\) | −2.32515 | − | 4.02728i | −0.100903 | − | 0.174769i | ||||
\(532\) | − | 13.5212i | − | 0.586219i | ||||||
\(533\) | −0.570609 | − | 0.329441i | −0.0247158 | − | 0.0142697i | ||||
\(534\) | −0.0346999 | + | 0.0601020i | −0.00150161 | + | 0.00260087i | ||||
\(535\) | −12.1820 | − | 3.89541i | −0.526673 | − | 0.168413i | ||||
\(536\) | −2.39792 | − | 4.15332i | −0.103574 | − | 0.179396i | ||||
\(537\) | 3.29695 | − | 1.90349i | 0.142274 | − | 0.0821419i | ||||
\(538\) | 10.2220 | + | 5.90169i | 0.440703 | + | 0.254440i | ||||
\(539\) | 1.03440 | − | 1.79164i | 0.0445549 | − | 0.0771714i | ||||
\(540\) | 2.80397 | + | 0.896620i | 0.120664 | + | 0.0385844i | ||||
\(541\) | −8.93020 | −0.383939 | −0.191970 | − | 0.981401i | \(-0.561488\pi\) | ||||
−0.191970 | + | 0.981401i | \(0.561488\pi\) | |||||||
\(542\) | −7.53326 | + | 4.34933i | −0.323581 | + | 0.186820i | ||||
\(543\) | −2.14811 | − | 1.24021i | −0.0921842 | − | 0.0532226i | ||||
\(544\) | −36.2259 | −1.55317 | ||||||||
\(545\) | −33.6239 | + | 7.31115i | −1.44029 | + | 0.313175i | ||||
\(546\) | −0.0217624 | + | 0.0376936i | −0.000931345 | + | 0.00161314i | ||||
\(547\) | 42.0078i | 1.79612i | 0.439871 | + | 0.898061i | \(0.355024\pi\) | ||||
−0.439871 | + | 0.898061i | \(0.644976\pi\) | |||||||
\(548\) | 16.9437 | − | 9.78244i | 0.723798 | − | 0.417885i | ||||
\(549\) | −26.3781 | −1.12579 | ||||||||
\(550\) | 1.51564 | − | 2.12758i | 0.0646272 | − | 0.0907204i | ||||
\(551\) | 1.45820 | + | 2.52568i | 0.0621214 | + | 0.107597i | ||||
\(552\) | −2.48031 | + | 1.43201i | −0.105569 | + | 0.0609502i | ||||
\(553\) | 22.7631 | + | 13.1423i | 0.967985 | + | 0.558866i | ||||
\(554\) | 23.7730 | 1.01002 | ||||||||
\(555\) | −2.24006 | + | 0.0612842i | −0.0950855 | + | 0.00260137i | ||||
\(556\) | 10.1656 | 0.431118 | ||||||||
\(557\) | −12.9529 | − | 7.47838i | −0.548833 | − | 0.316869i | 0.199818 | − | 0.979833i | \(-0.435965\pi\) |
−0.748651 | + | 0.662964i | \(0.769298\pi\) | |||||||
\(558\) | 4.45476 | − | 2.57196i | 0.188585 | − | 0.108880i | ||||
\(559\) | 0.240448 | + | 0.416468i | 0.0101699 | + | 0.0176147i | ||||
\(560\) | −2.46311 | + | 2.23870i | −0.104086 | + | 0.0946023i | ||||
\(561\) | 0.659432 | 0.0278412 | ||||||||
\(562\) | −14.8618 | + | 8.58048i | −0.626908 | + | 0.361946i | ||||
\(563\) | 37.4006i | 1.57625i | 0.615518 | + | 0.788123i | \(0.288947\pi\) | ||||
−0.615518 | + | 0.788123i | \(0.711053\pi\) | |||||||
\(564\) | 1.29574 | − | 2.24428i | 0.0545604 | − | 0.0945014i | ||||
\(565\) | −0.168458 | − | 0.774738i | −0.00708709 | − | 0.0325935i | ||||
\(566\) | 5.95691 | 0.250388 | ||||||||
\(567\) | 24.2455 | + | 13.9981i | 1.01821 | + | 0.587866i | ||||
\(568\) | −29.6853 | + | 17.1388i | −1.24557 | + | 0.719130i | ||||
\(569\) | 5.95087 | 0.249474 | 0.124737 | − | 0.992190i | \(-0.460191\pi\) | ||||
0.124737 | + | 0.992190i | \(0.460191\pi\) | |||||||
\(570\) | −0.288620 | + | 0.902592i | −0.0120890 | + | 0.0378054i | ||||
\(571\) | −12.0844 | + | 20.9309i | −0.505718 | + | 0.875930i | 0.494260 | + | 0.869314i | \(0.335439\pi\) |
−0.999978 | + | 0.00661544i | \(0.997894\pi\) | |||||||
\(572\) | −0.0755366 | − | 0.0436111i | −0.00315834 | − | 0.00182347i | ||||
\(573\) | −1.86459 | + | 1.07652i | −0.0778945 | + | 0.0449724i | ||||
\(574\) | −8.44063 | − | 14.6196i | −0.352305 | − | 0.610211i | ||||
\(575\) | 31.8555 | + | 3.04783i | 1.32847 | + | 0.127103i | ||||
\(576\) | 5.64458 | − | 9.77670i | 0.235191 | − | 0.407362i | ||||
\(577\) | −27.6461 | − | 15.9615i | −1.15092 | − | 0.664486i | −0.201811 | − | 0.979424i | \(-0.564683\pi\) |
−0.949112 | + | 0.314939i | \(0.898016\pi\) | |||||||
\(578\) | − | 17.7901i | − | 0.739972i | ||||||
\(579\) | 1.16156 | + | 2.01189i | 0.0482729 | + | 0.0836111i | ||||
\(580\) | 0.840626 | − | 2.62886i | 0.0349051 | − | 0.109158i | ||||
\(581\) | 36.3666 | 1.50874 | ||||||||
\(582\) | 1.77211i | 0.0734562i | ||||||||
\(583\) | 2.81414 | + | 1.62474i | 0.116550 | + | 0.0672900i | ||||
\(584\) | −14.3682 | −0.594560 | ||||||||
\(585\) | 0.499517 | − | 0.454006i | 0.0206525 | − | 0.0187708i | ||||
\(586\) | 19.8997 | 0.822048 | ||||||||
\(587\) | −17.8934 | + | 10.3308i | −0.738541 | + | 0.426397i | −0.821539 | − | 0.570153i | \(-0.806884\pi\) |
0.0829976 | + | 0.996550i | \(0.473551\pi\) | |||||||
\(588\) | 0.615079 | − | 0.355116i | 0.0253654 | − | 0.0146447i | ||||
\(589\) | −3.36083 | − | 5.82113i | −0.138481 | − | 0.239856i | ||||
\(590\) | −2.71099 | − | 0.866888i | −0.111610 | − | 0.0356892i | ||||
\(591\) | −1.92884 | −0.0793417 | ||||||||
\(592\) | 0.525814 | − | 2.78272i | 0.0216108 | − | 0.114369i | ||||
\(593\) | 9.71106i | 0.398785i | 0.979920 | + | 0.199393i | \(0.0638969\pi\) | ||||
−0.979920 | + | 0.199393i | \(0.936103\pi\) | |||||||
\(594\) | −0.257058 | + | 0.445238i | −0.0105472 | + | 0.0182683i | ||||
\(595\) | −29.9761 | − | 32.9810i | −1.22890 | − | 1.35209i | ||||
\(596\) | 4.68432 | + | 8.11347i | 0.191877 | + | 0.332341i | ||||
\(597\) | −2.52466 | + | 1.45761i | −0.103327 | + | 0.0596561i | ||||
\(598\) | 0.528836i | 0.0216257i | ||||||||
\(599\) | 4.18532 | + | 7.24919i | 0.171008 | + | 0.296194i | 0.938772 | − | 0.344538i | \(-0.111964\pi\) |
−0.767765 | + | 0.640732i | \(0.778631\pi\) | |||||||
\(600\) | 2.03542 | − | 0.929085i | 0.0830956 | − | 0.0379298i | ||||
\(601\) | −9.18608 | + | 15.9108i | −0.374708 | + | 0.649013i | −0.990283 | − | 0.139065i | \(-0.955590\pi\) |
0.615575 | + | 0.788078i | \(0.288924\pi\) | |||||||
\(602\) | 12.3211i | 0.502169i | ||||||||
\(603\) | − | 5.24923i | − | 0.213765i | ||||||
\(604\) | −14.3760 | + | 24.9000i | −0.584952 | + | 1.01317i | ||||
\(605\) | 15.9236 | + | 17.5198i | 0.647386 | + | 0.712282i | ||||
\(606\) | −2.15732 | −0.0876353 | ||||||||
\(607\) | −9.51599 | − | 5.49406i | −0.386242 | − | 0.222997i | 0.294289 | − | 0.955717i | \(-0.404917\pi\) |
−0.680531 | + | 0.732720i | \(0.738251\pi\) | |||||||
\(608\) | −15.9080 | − | 9.18451i | −0.645156 | − | 0.372481i | ||||
\(609\) | −0.242993 | + | 0.420876i | −0.00984656 | + | 0.0170547i | ||||
\(610\) | −11.9473 | + | 10.8588i | −0.483732 | + | 0.439659i | ||||
\(611\) | −0.596928 | − | 1.03391i | −0.0241491 | − | 0.0418275i | ||||
\(612\) | −21.4724 | − | 12.3971i | −0.867970 | − | 0.501123i | ||||
\(613\) | −0.514132 | − | 0.296834i | −0.0207656 | − | 0.0119890i | 0.489581 | − | 0.871958i | \(-0.337150\pi\) |
−0.510347 | + | 0.859969i | \(0.670483\pi\) | |||||||
\(614\) | −9.19555 | + | 15.9272i | −0.371102 | + | 0.642768i | ||||
\(615\) | −0.507908 | − | 2.33586i | −0.0204808 | − | 0.0941911i | ||||
\(616\) | −2.78774 | − | 4.82851i | −0.112321 | − | 0.194546i | ||||
\(617\) | 28.0011 | + | 16.1664i | 1.12728 | + | 0.650836i | 0.943250 | − | 0.332085i | \(-0.107752\pi\) |
0.184031 | + | 0.982920i | \(0.441085\pi\) | |||||||
\(618\) | − | 1.19894i | − | 0.0482286i | ||||||
\(619\) | 6.26354 | 0.251753 | 0.125876 | − | 0.992046i | \(-0.459826\pi\) | ||||
0.125876 | + | 0.992046i | \(0.459826\pi\) | |||||||
\(620\) | −1.93746 | + | 6.05895i | −0.0778103 | + | 0.243333i | ||||
\(621\) | −6.29815 | −0.252736 | ||||||||
\(622\) | 19.5269 | − | 11.2738i | 0.782956 | − | 0.452040i | ||||
\(623\) | − | 1.65507i | − | 0.0663091i | ||||||
\(624\) | −0.00389444 | − | 0.00674537i | −0.000155902 | − | 0.000270031i | ||||
\(625\) | −24.5465 | − | 4.74044i | −0.981858 | − | 0.189618i | ||||
\(626\) | 5.05334 | + | 8.75264i | 0.201972 | + | 0.349826i | ||||
\(627\) | 0.289579 | + | 0.167189i | 0.0115647 | + | 0.00667688i | ||||
\(628\) | − | 26.3480i | − | 1.05140i | ||||||
\(629\) | 37.2605 | + | 7.04063i | 1.48568 | + | 0.280728i | ||||
\(630\) | 16.8996 | − | 3.67463i | 0.673296 | − | 0.146401i | ||||
\(631\) | 10.3254 | − | 17.8841i | 0.411047 | − | 0.711954i | −0.583958 | − | 0.811784i | \(-0.698497\pi\) |
0.995005 | + | 0.0998299i | \(0.0318299\pi\) | |||||||
\(632\) | 19.3376 | − | 11.1646i | 0.769208 | − | 0.444103i | ||||
\(633\) | 2.37347 | − | 1.37032i | 0.0943368 | − | 0.0544654i | ||||
\(634\) | 5.02621 | + | 8.70565i | 0.199616 | + | 0.345746i | ||||
\(635\) | −2.37183 | − | 10.9080i | −0.0941231 | − | 0.432871i | ||||
\(636\) | 0.557783 | + | 0.966109i | 0.0221175 | + | 0.0383087i | ||||
\(637\) | − | 0.327194i | − | 0.0129639i | ||||||
\(638\) | 0.417433 | + | 0.241005i | 0.0165263 | + | 0.00954148i | ||||
\(639\) | −37.5182 | −1.48420 | ||||||||
\(640\) | 4.05361 | + | 18.6425i | 0.160233 | + | 0.736910i | ||||
\(641\) | −1.93809 | + | 3.35687i | −0.0765500 | + | 0.132588i | −0.901759 | − | 0.432239i | \(-0.857724\pi\) |
0.825209 | + | 0.564827i | \(0.191057\pi\) | |||||||
\(642\) | 0.664075 | − | 0.383404i | 0.0262089 | − | 0.0151317i | ||||
\(643\) | − | 10.4421i | − | 0.411796i | −0.978573 | − | 0.205898i | \(-0.933988\pi\) | ||
0.978573 | − | 0.205898i | \(-0.0660116\pi\) | |||||||
\(644\) | 13.6882 | − | 23.7086i | 0.539390 | − | 0.934250i | ||||
\(645\) | −0.531394 | + | 1.66181i | −0.0209236 | + | 0.0654338i | ||||
\(646\) | 8.01763 | − | 13.8869i | 0.315449 | − | 0.546374i | ||||
\(647\) | 22.6063 | − | 13.0518i | 0.888747 | − | 0.513118i | 0.0152145 | − | 0.999884i | \(-0.495157\pi\) |
0.873532 | + | 0.486766i | \(0.161824\pi\) | |||||||
\(648\) | 20.5969 | − | 11.8916i | 0.809123 | − | 0.467147i | ||||
\(649\) | −0.502161 | + | 0.869769i | −0.0197116 | + | 0.0341414i | ||||
\(650\) | 0.0393482 | − | 0.411262i | 0.00154336 | − | 0.0161310i | ||||
\(651\) | 0.560045 | − | 0.970027i | 0.0219499 | − | 0.0380183i | ||||
\(652\) | 5.14937i | 0.201665i | ||||||||
\(653\) | 13.1774 | − | 7.60795i | 0.515670 | − | 0.297722i | −0.219491 | − | 0.975614i | \(-0.570440\pi\) |
0.735161 | + | 0.677892i | \(0.237106\pi\) | |||||||
\(654\) | 1.03152 | − | 1.78665i | 0.0403356 | − | 0.0698634i | ||||
\(655\) | −5.73496 | + | 1.24700i | −0.224083 | + | 0.0487245i | ||||
\(656\) | 3.02095 | 0.117948 | ||||||||
\(657\) | −13.6195 | − | 7.86325i | −0.531349 | − | 0.306775i | ||||
\(658\) | − | 30.5879i | − | 1.19244i | ||||||
\(659\) | 4.01470 | + | 6.95366i | 0.156390 | + | 0.270876i | 0.933564 | − | 0.358410i | \(-0.116681\pi\) |
−0.777174 | + | 0.629286i | \(0.783348\pi\) | |||||||
\(660\) | −0.0672363 | − | 0.309219i | −0.00261717 | − | 0.0120363i | ||||
\(661\) | 3.64213 | + | 6.30836i | 0.141662 | + | 0.245367i | 0.928123 | − | 0.372274i | \(-0.121422\pi\) |
−0.786460 | + | 0.617641i | \(0.788089\pi\) | |||||||
\(662\) | −4.77725 | + | 2.75814i | −0.185673 | + | 0.107198i | ||||
\(663\) | 0.0903203 | − | 0.0521464i | 0.00350775 | − | 0.00202520i | ||||
\(664\) | 15.4470 | − | 26.7550i | 0.599460 | − | 1.03830i | ||||
\(665\) | −4.80172 | − | 22.0831i | −0.186203 | − | 0.856345i | ||||
\(666\) | −9.59547 | + | 11.1557i | −0.371817 | + | 0.432273i | ||||
\(667\) | 5.90483i | 0.228636i | ||||||||
\(668\) | −24.3185 | − | 14.0403i | −0.940910 | − | 0.543235i | ||||
\(669\) | 1.25598 | + | 2.17541i | 0.0485588 | + | 0.0841064i | ||||
\(670\) | −2.16090 | − | 2.37751i | −0.0834827 | − | 0.0918513i | ||||
\(671\) | 2.84843 | + | 4.93362i | 0.109962 | + | 0.190460i | ||||
\(672\) | − | 3.06099i | − | 0.118080i | ||||||
\(673\) | 35.7905 | − | 20.6637i | 1.37962 | − | 0.796525i | 0.387508 | − | 0.921866i | \(-0.373336\pi\) |
0.992114 | + | 0.125341i | \(0.0400025\pi\) | |||||||
\(674\) | 17.0303 | 0.655981 | ||||||||
\(675\) | 4.89791 | + | 0.468616i | 0.188521 | + | 0.0180370i | ||||
\(676\) | 17.3783 | 0.668398 | ||||||||
\(677\) | − | 9.42462i | − | 0.362218i | −0.983463 | − | 0.181109i | \(-0.942031\pi\) | ||
0.983463 | − | 0.181109i | \(-0.0579686\pi\) | |||||||
\(678\) | 0.0411666 | + | 0.0237676i | 0.00158099 | + | 0.000912787i | ||||
\(679\) | −21.1309 | − | 36.5999i | −0.810931 | − | 1.40457i | ||||
\(680\) | −36.9968 | + | 8.04454i | −1.41876 | + | 0.308494i | ||||
\(681\) | 0.262870 | − | 0.455304i | 0.0100732 | − | 0.0174473i | ||||
\(682\) | −0.962092 | − | 0.555464i | −0.0368404 | − | 0.0212698i | ||||
\(683\) | 40.1311 | + | 23.1697i | 1.53557 | + | 0.886563i | 0.999090 | + | 0.0426515i | \(0.0135805\pi\) |
0.536482 | + | 0.843912i | \(0.319753\pi\) | |||||||
\(684\) | −6.28618 | − | 10.8880i | −0.240358 | − | 0.416313i | ||||
\(685\) | 24.1987 | − | 21.9940i | 0.924586 | − | 0.840347i | ||||
\(686\) | −4.91424 | + | 8.51171i | −0.187627 | + | 0.324979i | ||||
\(687\) | 3.14358 | + | 1.81495i | 0.119935 | + | 0.0692445i | ||||
\(688\) | −1.90949 | − | 1.10245i | −0.0727987 | − | 0.0420303i | ||||
\(689\) | 0.513925 | 0.0195790 | ||||||||
\(690\) | −1.41982 | + | 1.29046i | −0.0540515 | + | 0.0491268i | ||||
\(691\) | −7.44910 | + | 12.9022i | −0.283377 | + | 0.490824i | −0.972214 | − | 0.234092i | \(-0.924788\pi\) |
0.688837 | + | 0.724916i | \(0.258122\pi\) | |||||||
\(692\) | 20.9442i | 0.796180i | ||||||||
\(693\) | − | 6.10257i | − | 0.231817i | ||||||
\(694\) | 0.0347281 | − | 0.0601508i | 0.00131826 | − | 0.00228329i | ||||
\(695\) | 16.6026 | − | 3.61006i | 0.629774 | − | 0.136937i | ||||
\(696\) | 0.206426 | + | 0.357541i | 0.00782456 | + | 0.0135525i | ||||
\(697\) | 40.4504i | 1.53217i | ||||||||
\(698\) | −0.477737 | + | 0.275821i | −0.0180826 | + | 0.0104400i | ||||
\(699\) | −1.21992 | − | 2.11296i | −0.0461416 | − | 0.0799196i | ||||
\(700\) | −12.4090 | + | 17.4191i | −0.469016 | + | 0.658380i | ||||
\(701\) | 1.32078 | − | 2.28767i | 0.0498853 | − | 0.0864040i | −0.840004 | − | 0.542579i | \(-0.817448\pi\) |
0.889890 | + | 0.456175i | \(0.150781\pi\) | |||||||
\(702\) | 0.0813105i | 0.00306887i | ||||||||
\(703\) | 14.5774 | + | 12.5386i | 0.549796 | + | 0.472903i | ||||
\(704\) | −2.43811 | −0.0918899 | ||||||||
\(705\) | 1.31922 | − | 4.12555i | 0.0496847 | − | 0.155377i | ||||
\(706\) | 4.06365 | + | 7.03844i | 0.152937 | + | 0.264895i | ||||
\(707\) | 44.5559 | − | 25.7243i | 1.67570 | − | 0.967464i | ||||
\(708\) | −0.298596 | + | 0.172395i | −0.0112219 | + | 0.00647899i | ||||
\(709\) | −21.9533 | −0.824472 | −0.412236 | − | 0.911077i | \(-0.635252\pi\) | ||||
−0.412236 | + | 0.911077i | \(0.635252\pi\) | |||||||
\(710\) | −16.9929 | + | 15.4447i | −0.637734 | + | 0.579630i | ||||
\(711\) | 24.4400 | 0.916573 | ||||||||
\(712\) | −1.21764 | − | 0.703005i | −0.0456330 | − | 0.0263462i | ||||
\(713\) | − | 13.6093i | − | 0.509674i | ||||||
\(714\) | 2.67210 | 0.100001 | ||||||||
\(715\) | −0.138855 | − | 0.0444015i | −0.00519289 | − | 0.00166052i | ||||
\(716\) | 15.4570 | + | 26.7722i | 0.577654 | + | 1.00053i | ||||
\(717\) | − | 2.88582i | − | 0.107773i | ||||||
\(718\) | 8.15444 | + | 4.70797i | 0.304321 | + | 0.175700i | ||||
\(719\) | 4.01080 | − | 6.94691i | 0.149578 | − | 0.259076i | −0.781494 | − | 0.623913i | \(-0.785542\pi\) |
0.931071 | + | 0.364837i | \(0.118875\pi\) | |||||||
\(720\) | −0.942629 | + | 2.94785i | −0.0351297 | + | 0.109860i | ||||
\(721\) | 14.2964 | + | 24.7621i | 0.532427 | + | 0.922191i | ||||
\(722\) | −6.34773 | + | 3.66487i | −0.236238 | + | 0.136392i | ||||
\(723\) | 0.756278 | + | 0.436637i | 0.0281263 | + | 0.0162387i | ||||
\(724\) | 10.0709 | − | 17.4433i | 0.374282 | − | 0.648275i | ||||
\(725\) | 0.439351 | − | 4.59203i | 0.0163171 | − | 0.170544i | ||||
\(726\) | −1.41944 | −0.0526805 | ||||||||
\(727\) | 28.9129 | − | 16.6929i | 1.07232 | − | 0.619104i | 0.143505 | − | 0.989650i | \(-0.454163\pi\) |
0.928814 | + | 0.370546i | \(0.120829\pi\) | |||||||
\(728\) | −0.763656 | − | 0.440897i | −0.0283030 | − | 0.0163407i | ||||
\(729\) | 25.5453 | 0.946121 | ||||||||
\(730\) | −9.40563 | + | 2.04515i | −0.348118 | + | 0.0756944i | ||||
\(731\) | 14.7617 | − | 25.5680i | 0.545981 | − | 0.945667i | ||||
\(732\) | 1.95576i | 0.0722870i | ||||||||
\(733\) | −25.5044 | + | 14.7250i | −0.942028 | + | 0.543880i | −0.890595 | − | 0.454796i | \(-0.849712\pi\) |
−0.0514325 | + | 0.998676i | \(0.516379\pi\) | |||||||
\(734\) | −20.7743 | −0.766794 | ||||||||
\(735\) | 0.878448 | − | 0.798413i | 0.0324020 | − | 0.0294499i | ||||
\(736\) | −18.5959 | − | 32.2090i | −0.685452 | − | 1.18724i | ||||
\(737\) | −0.981789 | + | 0.566836i | −0.0361647 | + | 0.0208797i | ||||
\(738\) | −13.5937 | − | 7.84832i | −0.500390 | − | 0.288901i | ||||
\(739\) | 30.4500 | 1.12012 | 0.560060 | − | 0.828452i | \(-0.310778\pi\) | ||||
0.560060 | + | 0.828452i | \(0.310778\pi\) | |||||||
\(740\) | −0.497646 | − | 18.1900i | −0.0182938 | − | 0.668678i | ||||
\(741\) | 0.0528837 | 0.00194273 | ||||||||
\(742\) | 11.4032 | + | 6.58366i | 0.418626 | + | 0.241694i | ||||
\(743\) | −17.4853 | + | 10.0951i | −0.641472 | + | 0.370354i | −0.785181 | − | 0.619266i | \(-0.787430\pi\) |
0.143709 | + | 0.989620i | \(0.454097\pi\) | |||||||
\(744\) | −0.475767 | − | 0.824053i | −0.0174425 | − | 0.0302112i | ||||
\(745\) | 10.5318 | + | 11.5876i | 0.385856 | + | 0.424535i | ||||
\(746\) | −23.4837 | −0.859798 | ||||||||
\(747\) | 29.2843 | − | 16.9073i | 1.07146 | − | 0.618606i | ||||
\(748\) | 5.35479i | 0.195790i | ||||||||
\(749\) | −9.14356 | + | 15.8371i | −0.334098 | + | 0.578676i | ||||
\(750\) | 1.20017 | − | 0.897912i | 0.0438240 | − | 0.0327871i | ||||
\(751\) | 45.6119 | 1.66440 | 0.832200 | − | 0.554475i | \(-0.187081\pi\) | ||||
0.832200 | + | 0.554475i | \(0.187081\pi\) | |||||||
\(752\) | 4.74043 | + | 2.73689i | 0.172866 | + | 0.0998041i | ||||
\(753\) | −3.21356 | + | 1.85535i | −0.117109 | + | 0.0676126i | ||||
\(754\) | 0.0762327 | 0.00277623 | ||||||||
\(755\) | −14.6366 | + | 45.7724i | −0.532679 | + | 1.66583i | ||||
\(756\) | 2.10461 | − | 3.64529i | 0.0765438 | − | 0.132578i | ||||
\(757\) | 28.8731 | + | 16.6699i | 1.04941 | + | 0.605878i | 0.922485 | − | 0.386034i | \(-0.126155\pi\) |
0.126927 | + | 0.991912i | \(0.459489\pi\) | |||||||
\(758\) | 6.30501 | − | 3.64020i | 0.229008 | − | 0.132218i | ||||
\(759\) | 0.338507 | + | 0.586311i | 0.0122870 | + | 0.0212817i | ||||
\(760\) | −18.2861 | − | 5.84732i | −0.663308 | − | 0.212105i | ||||
\(761\) | 5.53910 | − | 9.59401i | 0.200792 | − | 0.347783i | −0.747992 | − | 0.663708i | \(-0.768982\pi\) |
0.948784 | + | 0.315926i | \(0.102315\pi\) | |||||||
\(762\) | 0.579610 | + | 0.334638i | 0.0209971 | + | 0.0121227i | ||||
\(763\) | 49.2002i | 1.78117i | ||||||||
\(764\) | −8.74170 | − | 15.1411i | −0.316264 | − | 0.547785i | ||||
\(765\) | −39.4716 | − | 12.6218i | −1.42710 | − | 0.456341i | ||||
\(766\) | −6.52015 | −0.235583 | ||||||||
\(767\) | 0.158839i | 0.00573536i | ||||||||
\(768\) | −2.07423 | − | 1.19756i | −0.0748475 | − | 0.0432132i | ||||
\(769\) | −21.0415 | −0.758777 | −0.379389 | − | 0.925237i | \(-0.623866\pi\) | ||||
−0.379389 | + | 0.925237i | \(0.623866\pi\) | |||||||
\(770\) | −2.51218 | − | 2.76401i | −0.0905327 | − | 0.0996080i | ||||
\(771\) | 0.560310 | 0.0201791 | ||||||||
\(772\) | −16.3371 | + | 9.43224i | −0.587986 | + | 0.339474i | ||||
\(773\) | 28.0993 | − | 16.2231i | 1.01066 | − | 0.583505i | 0.0992752 | − | 0.995060i | \(-0.468348\pi\) |
0.911385 | + | 0.411555i | \(0.135014\pi\) | |||||||
\(774\) | 5.72822 | + | 9.92157i | 0.205897 | + | 0.356624i | ||||
\(775\) | −1.01261 | + | 10.5836i | −0.0363739 | + | 0.380175i | ||||
\(776\) | −35.9021 | −1.28881 | ||||||||
\(777\) | −0.594915 | + | 3.14842i | −0.0213424 | + | 0.112949i | ||||
\(778\) | 5.23811i | 0.187795i | ||||||||
\(779\) | −10.2556 | + | 17.7632i | −0.367444 | + | 0.636432i | ||||
\(780\) | −0.0336615 | − | 0.0370359i | −0.00120528 | − | 0.00132610i | ||||
\(781\) | 4.05139 | + | 7.01721i | 0.144970 | + | 0.251096i | ||||
\(782\) | 28.1169 | − | 16.2333i | 1.00546 | − | 0.580501i | ||||
\(783\) | 0.907889i | 0.0324453i | ||||||||
\(784\) | 0.750086 | + | 1.29919i | 0.0267888 | + | 0.0463995i | ||||
\(785\) | −9.35686 | − | 43.0321i | −0.333961 | − | 1.53588i | ||||
\(786\) | 0.175938 | − | 0.304734i | 0.00627551 | − | 0.0108695i | ||||
\(787\) | 36.9562i | 1.31735i | 0.752430 | + | 0.658673i | \(0.228882\pi\) | ||||
−0.752430 | + | 0.658673i | \(0.771118\pi\) | |||||||
\(788\) | − | 15.6627i | − | 0.557962i | ||||||
\(789\) | 0.531064 | − | 0.919829i | 0.0189064 | − | 0.0327468i | ||||
\(790\) | 11.0695 | − | 10.0610i | 0.393836 | − | 0.357954i | ||||
\(791\) | −1.13364 | −0.0403075 | ||||||||
\(792\) | −4.48967 | − | 2.59211i | −0.159534 | − | 0.0921067i | ||||
\(793\) | 0.780281 | + | 0.450495i | 0.0277086 | + | 0.0159976i | ||||
\(794\) | −8.79948 | + | 15.2411i | −0.312282 | + | 0.540888i | ||||
\(795\) | 1.25407 | + | 1.37978i | 0.0444773 | + | 0.0489359i | ||||
\(796\) | −11.8363 | − | 20.5010i | −0.419525 | − | 0.726638i | ||||
\(797\) | −15.3797 | − | 8.87948i | −0.544777 | − | 0.314527i | 0.202236 | − | 0.979337i | \(-0.435179\pi\) |
−0.747013 | + | 0.664810i | \(0.768513\pi\) | |||||||
\(798\) | 1.17341 | + | 0.677469i | 0.0415383 | + | 0.0239821i | ||||
\(799\) | −36.6469 | + | 63.4742i | −1.29647 | + | 2.24556i | ||||
\(800\) | 12.0650 | + | 26.4317i | 0.426562 | + | 0.934502i | ||||
\(801\) | −0.769465 | − | 1.33275i | −0.0271877 | − | 0.0470905i | ||||
\(802\) | −0.997077 | − | 0.575663i | −0.0352080 | − | 0.0203274i | ||||
\(803\) | 3.39644i | 0.119858i | ||||||||
\(804\) | −0.389196 | −0.0137259 | ||||||||
\(805\) | 13.9362 | − | 43.5824i | 0.491188 | − | 1.53608i | ||||
\(806\) | −0.175700 | −0.00618875 | ||||||||
\(807\) | 2.06966 | − | 1.19492i | 0.0728553 | − | 0.0420631i | ||||
\(808\) | − | 43.7065i | − | 1.53759i | ||||||
\(809\) | 11.4196 | + | 19.7793i | 0.401492 | + | 0.695404i | 0.993906 | − | 0.110229i | \(-0.0351586\pi\) |
−0.592415 | + | 0.805633i | \(0.701825\pi\) | |||||||
\(810\) | 11.7904 | − | 10.7162i | 0.414273 | − | 0.376528i | ||||
\(811\) | −12.1748 | − | 21.0874i | −0.427516 | − | 0.740480i | 0.569136 | − | 0.822244i | \(-0.307278\pi\) |
−0.996652 | + | 0.0817641i | \(0.973945\pi\) | |||||||
\(812\) | −3.41764 | − | 1.97318i | −0.119936 | − | 0.0692449i | ||||
\(813\) | 1.76122i | 0.0617686i | ||||||||
\(814\) | 3.12266 | + | 0.590048i | 0.109449 | + | 0.0206812i | ||||
\(815\) | 1.82867 | + | 8.41004i | 0.0640555 | + | 0.294591i | ||||
\(816\) | −0.239089 | + | 0.414115i | −0.00836981 | + | 0.0144969i | ||||
\(817\) | 12.9648 | − | 7.48520i | 0.453579 | − | 0.261874i | ||||
\(818\) | −9.86514 | + | 5.69564i | −0.344926 | + | 0.199143i | ||||
\(819\) | −0.482578 | − | 0.835850i | −0.0168626 | − | 0.0292069i | ||||
\(820\) | 18.9679 | − | 4.12437i | 0.662389 | − | 0.144029i | ||||
\(821\) | −2.52579 | − | 4.37480i | −0.0881507 | − | 0.152681i | 0.818579 | − | 0.574394i | \(-0.194762\pi\) |
−0.906729 | + | 0.421713i | \(0.861429\pi\) | |||||||
\(822\) | 1.96056i | 0.0683825i | ||||||||
\(823\) | −1.68698 | − | 0.973980i | −0.0588045 | − | 0.0339508i | 0.470309 | − | 0.882502i | \(-0.344142\pi\) |
−0.529114 | + | 0.848551i | \(0.677476\pi\) | |||||||
\(824\) | 24.2901 | 0.846185 | ||||||||
\(825\) | −0.219623 | − | 0.481145i | −0.00764630 | − | 0.0167513i | ||||
\(826\) | −2.03482 | + | 3.52441i | −0.0708004 | + | 0.122630i | ||||
\(827\) | −3.20415 | + | 1.84992i | −0.111419 | + | 0.0643280i | −0.554674 | − | 0.832068i | \(-0.687157\pi\) |
0.443255 | + | 0.896396i | \(0.353824\pi\) | |||||||
\(828\) | − | 25.4552i | − | 0.884631i | ||||||
\(829\) | 17.5333 | − | 30.3685i | 0.608956 | − | 1.05474i | −0.382457 | − | 0.923973i | \(-0.624922\pi\) |
0.991413 | − | 0.130770i | \(-0.0417448\pi\) | |||||||
\(830\) | 6.30357 | − | 19.7129i | 0.218800 | − | 0.684246i | ||||
\(831\) | 2.40666 | − | 4.16846i | 0.0834862 | − | 0.144602i | ||||
\(832\) | −0.333941 | + | 0.192801i | −0.0115773 | + | 0.00668417i | ||||
\(833\) | −17.3961 | + | 10.0436i | −0.602738 | + | 0.347991i | ||||
\(834\) | −0.509339 | + | 0.882201i | −0.0176370 | + | 0.0305481i | ||||
\(835\) | −44.7034 | − | 14.2947i | −1.54703 | − | 0.494690i | ||||
\(836\) | −1.35762 | + | 2.35147i | −0.0469544 | + | 0.0813274i | ||||
\(837\) | − | 2.09249i | − | 0.0723269i | ||||||
\(838\) | −26.5906 | + | 15.3521i | −0.918559 | + | 0.530330i | ||||
\(839\) | 8.00249 | − | 13.8607i | 0.276277 | − | 0.478525i | −0.694180 | − | 0.719802i | \(-0.744233\pi\) |
0.970456 | + | 0.241276i | \(0.0775660\pi\) | |||||||
\(840\) | −0.679742 | − | 3.12613i | −0.0234533 | − | 0.107862i | ||||
\(841\) | −28.1488 | −0.970649 | ||||||||
\(842\) | −15.4350 | − | 8.91143i | −0.531927 | − | 0.307108i | ||||
\(843\) | 3.47458i | 0.119671i | ||||||||
\(844\) | 11.1274 | + | 19.2733i | 0.383022 | + | 0.663413i | ||||
\(845\) | 28.3826 | − | 6.17149i | 0.976392 | − | 0.212306i | ||||
\(846\) | −14.2207 | − | 24.6309i | −0.488917 | − | 0.846829i | ||||
\(847\) | 29.3162 | − | 16.9257i | 1.00732 | − | 0.581575i | ||||
\(848\) | −2.04064 | + | 1.17816i | −0.0700759 | + | 0.0404583i | ||||
\(849\) | 0.603049 | − | 1.04451i | 0.0206966 | − | 0.0358475i | ||||
\(850\) | −23.0736 | + | 10.5322i | −0.791418 | + | 0.361250i | ||||
\(851\) | 12.8671 | + | 36.7431i | 0.441077 | + | 1.25954i | ||||
\(852\) | 2.78173i | 0.0953003i | ||||||||
\(853\) | 39.1189 | + | 22.5853i | 1.33941 | + | 0.773307i | 0.986719 | − | 0.162434i | \(-0.0519345\pi\) |
0.352688 | + | 0.935741i | \(0.385268\pi\) | |||||||
\(854\) | 11.5422 | + | 19.9916i | 0.394965 | + | 0.684099i | ||||
\(855\) | −14.1333 | − | 15.5501i | −0.483349 | − | 0.531801i | ||||
\(856\) | 7.76760 | + | 13.4539i | 0.265491 | + | 0.459844i | ||||
\(857\) | − | 32.3818i | − | 1.10614i | −0.833135 | − | 0.553070i | \(-0.813456\pi\) | ||
0.833135 | − | 0.553070i | \(-0.186544\pi\) | |||||||
\(858\) | 0.00756940 | − | 0.00437019i | 0.000258415 | − | 0.000149196i | ||||
\(859\) | −16.0144 | −0.546403 | −0.273202 | − | 0.961957i | \(-0.588083\pi\) | ||||
−0.273202 | + | 0.961957i | \(0.588083\pi\) | |||||||
\(860\) | −13.4944 | − | 4.31508i | −0.460156 | − | 0.147143i | ||||
\(861\) | −3.41795 | −0.116484 | ||||||||
\(862\) | 13.5827i | 0.462627i | ||||||||
\(863\) | −47.2828 | − | 27.2988i | −1.60953 | − | 0.929260i | −0.989476 | − | 0.144699i | \(-0.953779\pi\) |
−0.620051 | − | 0.784562i | \(-0.712888\pi\) | |||||||
\(864\) | −2.85918 | − | 4.95225i | −0.0972713 | − | 0.168479i | ||||
\(865\) | 7.43782 | + | 34.2065i | 0.252894 | + | 1.16306i | ||||
\(866\) | −1.20277 | + | 2.08326i | −0.0408718 | + | 0.0707920i | ||||
\(867\) | −3.11940 | − | 1.80099i | −0.105940 | − | 0.0611647i | ||||
\(868\) | 7.87691 | + | 4.54774i | 0.267360 | + | 0.154360i | ||||
\(869\) | −2.63915 | − | 4.57114i | −0.0895271 | − | 0.155065i | ||||
\(870\) | 0.186022 | + | 0.204669i | 0.00630672 | + | 0.00693893i | ||||
\(871\) | −0.0896484 | + | 0.155276i | −0.00303762 | + | 0.00526131i | ||||
\(872\) | 36.1967 | + | 20.8982i | 1.22577 | + | 0.707701i | ||||
\(873\) | −34.0315 | − | 19.6481i | −1.15179 | − | 0.664987i | ||||
\(874\) | 16.4628 | 0.556862 | ||||||||
\(875\) | −14.0806 | + | 32.8559i | −0.476012 | + | 1.11073i | ||||
\(876\) | −0.583008 | + | 1.00980i | −0.0196980 | + | 0.0341180i | ||||
\(877\) | 50.0970i | 1.69166i | 0.533456 | + | 0.845828i | \(0.320893\pi\) | ||||
−0.533456 | + | 0.845828i | \(0.679107\pi\) | |||||||
\(878\) | − | 21.2726i | − | 0.717916i | ||||||
\(879\) | 2.01455 | − | 3.48930i | 0.0679490 | − | 0.117691i | ||||
\(880\) | 0.653141 | − | 0.142018i | 0.0220174 | − | 0.00478744i | ||||
\(881\) | −5.58902 | − | 9.68046i | −0.188299 | − | 0.326143i | 0.756384 | − | 0.654127i | \(-0.226964\pi\) |
−0.944683 | + | 0.327984i | \(0.893631\pi\) | |||||||
\(882\) | − | 7.79478i | − | 0.262464i | ||||||
\(883\) | −32.6263 | + | 18.8368i | −1.09796 | + | 0.633908i | −0.935685 | − | 0.352837i | \(-0.885217\pi\) |
−0.162277 | + | 0.986745i | \(0.551884\pi\) | |||||||
\(884\) | 0.423445 | + | 0.733428i | 0.0142420 | + | 0.0246679i | ||||
\(885\) | −0.426451 | + | 0.387597i | −0.0143350 | + | 0.0130289i | ||||
\(886\) | 3.06381 | − | 5.30668i | 0.102931 | − | 0.178281i | ||||
\(887\) | 56.4166i | 1.89428i | 0.320815 | + | 0.947142i | \(0.396043\pi\) | ||||
−0.320815 | + | 0.947142i | \(0.603957\pi\) | |||||||
\(888\) | 2.06360 | + | 1.77500i | 0.0692500 | + | 0.0595649i | ||||
\(889\) | −15.9612 | −0.535320 | ||||||||
\(890\) | −0.897151 | − | 0.286880i | −0.0300726 | − | 0.00961625i | ||||
\(891\) | −2.81102 | − | 4.86883i | −0.0941727 | − | 0.163112i | ||||
\(892\) | −17.6650 | + | 10.1989i | −0.591469 | + | 0.341485i | ||||
\(893\) | −32.1858 | + | 18.5825i | −1.07706 | + | 0.621840i | ||||
\(894\) | −0.938815 | −0.0313987 | ||||||||
\(895\) | 34.7521 | + | 38.2357i | 1.16163 | + | 1.27808i | ||||
\(896\) | 27.2787 | 0.911317 | ||||||||
\(897\) | 0.0927284 | + | 0.0535368i | 0.00309611 | + | 0.00178754i | ||||
\(898\) | 21.5381i | 0.718734i | ||||||||
\(899\) | −1.96181 | −0.0654301 | ||||||||
\(900\) | −1.89400 | + | 19.7959i | −0.0631335 | + | 0.659862i | ||||
\(901\) | −15.7756 | − | 27.3241i | −0.525560 | − | 0.910297i | ||||
\(902\) | 3.38999i | 0.112874i | ||||||||
\(903\) | 2.16043 | + | 1.24732i | 0.0718946 | + | 0.0415084i | ||||
\(904\) | −0.481521 | + | 0.834018i | −0.0160151 | + | 0.0277390i | ||||
\(905\) | 10.2534 | − | 32.0651i | 0.340835 | − | 1.06588i | ||||
\(906\) | −1.44060 | − | 2.49519i | −0.0478606 | − | 0.0828971i | ||||
\(907\) | −11.0280 | + | 6.36704i | −0.366180 | + | 0.211414i | −0.671788 | − | 0.740743i | \(-0.734474\pi\) |
0.305608 | + | 0.952157i | \(0.401140\pi\) | |||||||
\(908\) | 3.69721 | + | 2.13458i | 0.122696 | + | 0.0708386i | ||||
\(909\) | 23.9192 | − | 41.4292i | 0.793348 | − | 1.37412i | ||||
\(910\) | −0.562658 | − | 0.179920i | −0.0186519 | − | 0.00596429i | ||||
\(911\) | −27.7370 | −0.918968 | −0.459484 | − | 0.888186i | \(-0.651966\pi\) | ||||
−0.459484 | + | 0.888186i | \(0.651966\pi\) | |||||||
\(912\) | −0.209985 | + | 0.121235i | −0.00695330 | + | 0.00401449i | ||||
\(913\) | −6.32452 | − | 3.65146i | −0.209311 | − | 0.120846i | ||||
\(914\) | −21.0384 | −0.695889 | ||||||||
\(915\) | 0.694540 | + | 3.19418i | 0.0229608 | + | 0.105596i | ||||
\(916\) | −14.7379 | + | 25.5268i | −0.486955 | + | 0.843430i | ||||
\(917\) | 8.39169i | 0.277118i | ||||||||
\(918\) | 4.32307 | − | 2.49593i | 0.142683 | − | 0.0823778i | ||||
\(919\) | −20.9955 | −0.692579 | −0.346290 | − | 0.938128i | \(-0.612559\pi\) | ||||
−0.346290 | + | 0.938128i | \(0.612559\pi\) | |||||||
\(920\) | −26.1441 | − | 28.7649i | −0.861946 | − | 0.948350i | ||||
\(921\) | 1.86183 | + | 3.22478i | 0.0613492 | + | 0.106260i | ||||
\(922\) | −4.42999 | + | 2.55766i | −0.145894 | + | 0.0842320i | ||||
\(923\) | 1.10981 | + | 0.640750i | 0.0365299 | + | 0.0210906i | ||||
\(924\) | −0.452465 | −0.0148850 | ||||||||
\(925\) | −7.27250 | − | 29.5315i | −0.239118 | − | 0.970990i | ||||
\(926\) | 21.7225 | 0.713846 | ||||||||
\(927\) | 23.0245 | + | 13.2932i | 0.756223 | + | 0.436606i | ||||
\(928\) | −4.64298 | + | 2.68063i | −0.152413 | + | 0.0879959i | ||||
\(929\) | −4.68226 | − | 8.10992i | −0.153620 | − | 0.266078i | 0.778936 | − | 0.627104i | \(-0.215760\pi\) |
−0.932556 | + | 0.361026i | \(0.882427\pi\) | |||||||
\(930\) | −0.428739 | − | 0.471717i | −0.0140589 | − | 0.0154682i | ||||
\(931\) | −10.1856 | −0.333820 | ||||||||
\(932\) | 17.1579 | − | 9.90612i | 0.562026 | − | 0.324486i | ||||
\(933\) | − | 4.56523i | − | 0.149459i | ||||||
\(934\) | −8.92542 | + | 15.4593i | −0.292049 | + | 0.505843i | ||||
\(935\) | 1.90162 | + | 8.74553i | 0.0621896 | + | 0.286009i | ||||
\(936\) | −0.819915 | −0.0267998 | ||||||||
\(937\) | 7.85696 | + | 4.53622i | 0.256676 | + | 0.148192i | 0.622817 | − | 0.782367i | \(-0.285988\pi\) |
−0.366141 | + | 0.930559i | \(0.619321\pi\) | |||||||
\(938\) | −3.97833 | + | 2.29689i | −0.129897 | + | 0.0749961i | ||||
\(939\) | 2.04630 | 0.0667785 | ||||||||
\(940\) | 33.5008 | + | 10.7125i | 1.09267 | + | 0.349402i | ||||
\(941\) | −0.0464006 | + | 0.0803683i | −0.00151262 | + | 0.00261993i | −0.866781 | − | 0.498689i | \(-0.833815\pi\) |
0.865268 | + | 0.501309i | \(0.167148\pi\) | |||||||
\(942\) | 2.28656 | + | 1.32015i | 0.0745002 | + | 0.0430127i | ||||
\(943\) | −35.9651 | + | 20.7644i | −1.17118 | + | 0.676183i | ||||
\(944\) | −0.364136 | − | 0.630703i | −0.0118516 | − | 0.0205276i | ||||
\(945\) | 2.14275 | − | 6.70095i | 0.0697036 | − | 0.217982i | ||||
\(946\) | 1.23712 | − | 2.14276i | 0.0402223 | − | 0.0696670i | ||||
\(947\) | 6.37436 | + | 3.68024i | 0.207139 | + | 0.119592i | 0.599981 | − | 0.800014i | \(-0.295175\pi\) |
−0.392842 | + | 0.919606i | \(0.628508\pi\) | |||||||
\(948\) | − | 1.81207i | − | 0.0588533i | ||||||
\(949\) | 0.268583 | + | 0.465200i | 0.00871859 | + | 0.0151010i | ||||
\(950\) | −12.8027 | − | 1.22492i | −0.415374 | − | 0.0397416i | ||||
\(951\) | 2.03532 | 0.0659996 | ||||||||
\(952\) | 54.1355i | 1.75454i | ||||||||
\(953\) | 17.8638 | + | 10.3137i | 0.578665 | + | 0.334093i | 0.760603 | − | 0.649217i | \(-0.224904\pi\) |
−0.181937 | + | 0.983310i | \(0.558237\pi\) | |||||||
\(954\) | 12.2433 | 0.396392 | ||||||||
\(955\) | −19.6541 | − | 21.6243i | −0.635991 | − | 0.699745i | ||||
\(956\) | 23.4337 | 0.757901 | ||||||||
\(957\) | 0.0845177 | − | 0.0487963i | 0.00273207 | − | 0.00157736i | ||||
\(958\) | −18.6691 | + | 10.7786i | −0.603171 | + | 0.348241i | ||||
\(959\) | −23.3781 | − | 40.4921i | −0.754920 | − | 1.30756i | ||||
\(960\) | −1.33251 | − | 0.426093i | −0.0430065 | − | 0.0137521i | ||||
\(961\) | −26.4785 | −0.854144 | ||||||||
\(962\) | 0.474361 | − | 0.166117i | 0.0152940 | − | 0.00535581i | ||||
\(963\) | 17.0038i | 0.547941i | ||||||||
\(964\) | −3.54563 | + | 6.14121i | −0.114197 | + | 0.197795i | ||||
\(965\) | −23.3325 | + | 21.2066i | −0.751098 | + | 0.682666i | ||||
\(966\) | 1.37167 | + | 2.37580i | 0.0441327 | + | 0.0764401i | ||||
\(967\) | 41.0241 | − | 23.6853i | 1.31925 | − | 0.761667i | 0.335638 | − | 0.941991i | \(-0.391048\pi\) |
0.983607 | + | 0.180324i | \(0.0577147\pi\) | |||||||
\(968\) | − | 28.7573i | − | 0.924296i | ||||||
\(969\) | −1.62333 | − | 2.81169i | −0.0521489 | − | 0.0903246i | ||||
\(970\) | −23.5021 | + | 5.11027i | −0.754606 | + | 0.164081i | ||||
\(971\) | 1.39437 | − | 2.41512i | 0.0447474 | − | 0.0775048i | −0.842784 | − | 0.538252i | \(-0.819085\pi\) |
0.887532 | + | 0.460747i | \(0.152418\pi\) | |||||||
\(972\) | − | 5.87965i | − | 0.188590i | ||||||
\(973\) | − | 24.2938i | − | 0.778825i | ||||||
\(974\) | 2.72354 | − | 4.71730i | 0.0872677 | − | 0.151152i | ||||
\(975\) | −0.0681290 | − | 0.0485336i | −0.00218188 | − | 0.00155432i | ||||
\(976\) | −4.13101 | −0.132230 | ||||||||
\(977\) | −53.0333 | − | 30.6188i | −1.69669 | − | 0.979582i | −0.948866 | − | 0.315679i | \(-0.897768\pi\) |
−0.747819 | − | 0.663902i | \(-0.768899\pi\) | |||||||
\(978\) | −0.446877 | − | 0.258005i | −0.0142896 | − | 0.00825008i | ||||
\(979\) | −0.166181 | + | 0.287834i | −0.00531116 | + | 0.00919921i | ||||
\(980\) | 6.48335 | + | 7.13327i | 0.207103 | + | 0.227864i | ||||
\(981\) | 22.8738 | + | 39.6186i | 0.730304 | + | 1.26492i | ||||
\(982\) | 13.6812 | + | 7.89886i | 0.436585 | + | 0.252063i | ||||
\(983\) | −21.4826 | − | 12.4030i | −0.685188 | − | 0.395594i | 0.116619 | − | 0.993177i | \(-0.462794\pi\) |
−0.801807 | + | 0.597583i | \(0.796128\pi\) | |||||||
\(984\) | −1.45180 | + | 2.51460i | −0.0462818 | + | 0.0801624i | ||||
\(985\) | −5.56223 | − | 25.5807i | −0.177228 | − | 0.815068i | ||||
\(986\) | −2.34006 | − | 4.05310i | −0.0745226 | − | 0.129077i | ||||
\(987\) | −5.36341 | − | 3.09656i | −0.170719 | − | 0.0985647i | ||||
\(988\) | 0.429432i | 0.0136620i | ||||||||
\(989\) | 30.3105 | 0.963819 | ||||||||
\(990\) | −3.30796 | − | 1.05778i | −0.105134 | − | 0.0336185i | ||||
\(991\) | 14.4664 | 0.459539 | 0.229769 | − | 0.973245i | \(-0.426203\pi\) | ||||
0.229769 | + | 0.973245i | \(0.426203\pi\) | |||||||
\(992\) | 10.7011 | − | 6.17826i | 0.339759 | − | 0.196160i | ||||
\(993\) | 1.11688i | 0.0354432i | ||||||||
\(994\) | 16.4167 | + | 28.4346i | 0.520706 | + | 0.901890i | ||||
\(995\) | −26.6116 | − | 29.2792i | −0.843644 | − | 0.928214i | ||||
\(996\) | −1.25357 | − | 2.17124i | −0.0397208 | − | 0.0687984i | ||||
\(997\) | −21.9607 | − | 12.6790i | −0.695503 | − | 0.401549i | 0.110167 | − | 0.993913i | \(-0.464861\pi\) |
−0.805670 | + | 0.592364i | \(0.798195\pi\) | |||||||
\(998\) | − | 16.9128i | − | 0.535364i | ||||||
\(999\) | 1.97836 | + | 5.64939i | 0.0625925 | + | 0.178739i |
(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 | 185.2.n.a.84.7 | ✓ | 36 | |
5.2 | odd | 4 | 925.2.e.f.676.12 | 36 | |||
5.3 | odd | 4 | 925.2.e.f.676.7 | 36 | |||
5.4 | even | 2 | inner | 185.2.n.a.84.12 | yes | 36 | |
37.26 | even | 3 | inner | 185.2.n.a.174.12 | yes | 36 | |
185.63 | odd | 12 | 925.2.e.f.26.7 | 36 | |||
185.137 | odd | 12 | 925.2.e.f.26.12 | 36 | |||
185.174 | even | 6 | inner | 185.2.n.a.174.7 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.n.a.84.7 | ✓ | 36 | 1.1 | even | 1 | trivial | |
185.2.n.a.84.12 | yes | 36 | 5.4 | even | 2 | inner | |
185.2.n.a.174.7 | yes | 36 | 185.174 | even | 6 | inner | |
185.2.n.a.174.12 | yes | 36 | 37.26 | even | 3 | inner | |
925.2.e.f.26.7 | 36 | 185.63 | odd | 12 | |||
925.2.e.f.26.12 | 36 | 185.137 | odd | 12 | |||
925.2.e.f.676.7 | 36 | 5.3 | odd | 4 | |||
925.2.e.f.676.12 | 36 | 5.2 | odd | 4 |