Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(259,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.259");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bu (of order \(12\), degree \(4\), 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 715.50 | ||
Character | \(\chi\) | \(=\) | 912.715 |
Dual form | 912.2.bu.a.787.50 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.520421 | + | 1.31498i | 0.367993 | + | 0.929829i | ||||
\(3\) | 0.965926 | + | 0.258819i | 0.557678 | + | 0.149429i | ||||
\(4\) | −1.45832 | + | 1.36868i | −0.729162 | + | 0.684341i | ||||
\(5\) | 0.825723 | − | 3.08164i | 0.369274 | − | 1.37815i | −0.492259 | − | 0.870449i | \(-0.663829\pi\) |
0.861533 | − | 0.507702i | \(-0.169505\pi\) | |||||||
\(6\) | 0.162347 | + | 1.40486i | 0.0662779 | + | 0.573533i | ||||
\(7\) | −4.77320 | −1.80410 | −0.902051 | − | 0.431630i | \(-0.857939\pi\) | ||||
−0.902051 | + | 0.431630i | \(0.857939\pi\) | |||||||
\(8\) | −2.55873 | − | 1.20537i | −0.904646 | − | 0.426163i | ||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | 4.48200 | − | 0.517943i | 1.41733 | − | 0.163788i | ||||
\(11\) | 0.955847 | − | 0.955847i | 0.288199 | − | 0.288199i | −0.548169 | − | 0.836368i | \(-0.684675\pi\) |
0.836368 | + | 0.548169i | \(0.184675\pi\) | |||||||
\(12\) | −1.76287 | + | 0.944603i | −0.508898 | + | 0.272683i | ||||
\(13\) | −6.88440 | + | 1.84467i | −1.90939 | + | 0.511619i | −0.915339 | + | 0.402684i | \(0.868077\pi\) |
−0.994049 | + | 0.108934i | \(0.965256\pi\) | |||||||
\(14\) | −2.48407 | − | 6.27665i | −0.663897 | − | 1.67751i | ||||
\(15\) | 1.59517 | − | 2.76292i | 0.411872 | − | 0.713383i | ||||
\(16\) | 0.253420 | − | 3.99196i | 0.0633551 | − | 0.997991i | ||||
\(17\) | 0.521470 | + | 0.903213i | 0.126475 | + | 0.219061i | 0.922309 | − | 0.386454i | \(-0.126300\pi\) |
−0.795833 | + | 0.605516i | \(0.792967\pi\) | |||||||
\(18\) | −0.206790 | + | 1.39901i | −0.0487410 | + | 0.329751i | ||||
\(19\) | −3.97104 | − | 1.79745i | −0.911019 | − | 0.412364i | ||||
\(20\) | 3.01361 | + | 5.62418i | 0.673864 | + | 1.25760i | ||||
\(21\) | −4.61056 | − | 1.23540i | −1.00611 | − | 0.269586i | ||||
\(22\) | 1.75436 | + | 0.759474i | 0.374031 | + | 0.161920i | ||||
\(23\) | 0.680206 | − | 1.17815i | 0.141833 | − | 0.245661i | −0.786354 | − | 0.617776i | \(-0.788034\pi\) |
0.928187 | + | 0.372115i | \(0.121367\pi\) | |||||||
\(24\) | −2.15957 | − | 1.82655i | −0.440820 | − | 0.372842i | ||||
\(25\) | −4.48455 | − | 2.58916i | −0.896910 | − | 0.517831i | ||||
\(26\) | −6.00848 | − | 8.09281i | −1.17836 | − | 1.58713i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | 6.96088 | − | 6.53300i | 1.31548 | − | 1.23462i | ||||
\(29\) | 5.35271 | − | 1.43425i | 0.993973 | − | 0.266334i | 0.275054 | − | 0.961429i | \(-0.411304\pi\) |
0.718918 | + | 0.695094i | \(0.244637\pi\) | |||||||
\(30\) | 4.46334 | + | 0.659733i | 0.814890 | + | 0.120450i | ||||
\(31\) | −7.22667 | −1.29795 | −0.648974 | − | 0.760811i | \(-0.724802\pi\) | ||||
−0.648974 | + | 0.760811i | \(0.724802\pi\) | |||||||
\(32\) | 5.38122 | − | 1.74426i | 0.951275 | − | 0.308344i | ||||
\(33\) | 1.17067 | − | 0.675886i | 0.203787 | − | 0.117657i | ||||
\(34\) | −0.916320 | + | 1.15577i | −0.157148 | + | 0.198213i | ||||
\(35\) | −3.94134 | + | 14.7093i | −0.666208 | + | 2.48632i | ||||
\(36\) | −1.94729 | + | 0.456151i | −0.324548 | + | 0.0760252i | ||||
\(37\) | 2.28111 | − | 2.28111i | 0.375012 | − | 0.375012i | −0.494287 | − | 0.869299i | \(-0.664571\pi\) |
0.869299 | + | 0.494287i | \(0.164571\pi\) | |||||||
\(38\) | 0.296999 | − | 6.15726i | 0.0481796 | − | 0.998839i | ||||
\(39\) | −7.12725 | −1.14127 | ||||||||
\(40\) | −5.82732 | + | 6.88977i | −0.921380 | + | 1.08937i | ||||
\(41\) | −1.92169 | − | 3.32846i | −0.300117 | − | 0.519818i | 0.676045 | − | 0.736860i | \(-0.263692\pi\) |
−0.976162 | + | 0.217042i | \(0.930359\pi\) | |||||||
\(42\) | −0.774915 | − | 6.70570i | −0.119572 | − | 1.03471i | ||||
\(43\) | −2.06431 | − | 0.553130i | −0.314804 | − | 0.0843516i | 0.0979574 | − | 0.995191i | \(-0.468769\pi\) |
−0.412762 | + | 0.910839i | \(0.635436\pi\) | |||||||
\(44\) | −0.0856847 | + | 2.70219i | −0.0129175 | + | 0.407370i | ||||
\(45\) | 2.25592 | − | 2.25592i | 0.336292 | − | 0.336292i | ||||
\(46\) | 1.90323 | + | 0.281320i | 0.280616 | + | 0.0414784i | ||||
\(47\) | −11.6255 | − | 6.71197i | −1.69575 | − | 0.979042i | −0.949705 | − | 0.313146i | \(-0.898617\pi\) |
−0.746045 | − | 0.665895i | \(-0.768050\pi\) | |||||||
\(48\) | 1.27798 | − | 3.79035i | 0.184461 | − | 0.547090i | ||||
\(49\) | 15.7835 | 2.25478 | ||||||||
\(50\) | 1.07083 | − | 7.24453i | 0.151438 | − | 1.02453i | ||||
\(51\) | 0.269933 | + | 1.00740i | 0.0377982 | + | 0.141065i | ||||
\(52\) | 7.51492 | − | 12.1127i | 1.04213 | − | 1.67973i | ||||
\(53\) | −1.05986 | − | 3.95546i | −0.145583 | − | 0.543324i | −0.999729 | − | 0.0232899i | \(-0.992586\pi\) |
0.854146 | − | 0.520034i | \(-0.174081\pi\) | |||||||
\(54\) | −0.561835 | + | 1.29782i | −0.0764561 | + | 0.176611i | ||||
\(55\) | −2.15631 | − | 3.73484i | −0.290757 | − | 0.503606i | ||||
\(56\) | 12.2133 | + | 5.75348i | 1.63207 | + | 0.768842i | ||||
\(57\) | −3.37051 | − | 2.76399i | −0.446436 | − | 0.366099i | ||||
\(58\) | 4.67167 | + | 6.29227i | 0.613420 | + | 0.826215i | ||||
\(59\) | −1.14471 | + | 4.27211i | −0.149028 | + | 0.556181i | 0.850515 | + | 0.525951i | \(0.176291\pi\) |
−0.999543 | + | 0.0302298i | \(0.990376\pi\) | |||||||
\(60\) | 1.45528 | + | 6.21252i | 0.187876 | + | 0.802033i | ||||
\(61\) | 2.22000 | + | 8.28516i | 0.284242 | + | 1.06081i | 0.949391 | + | 0.314096i | \(0.101701\pi\) |
−0.665149 | + | 0.746711i | \(0.731632\pi\) | |||||||
\(62\) | −3.76091 | − | 9.50290i | −0.477636 | − | 1.20687i | ||||
\(63\) | −4.13372 | − | 2.38660i | −0.520799 | − | 0.300684i | ||||
\(64\) | 5.09416 | + | 6.16843i | 0.636770 | + | 0.771054i | ||||
\(65\) | 22.7384i | 2.82035i | ||||||||
\(66\) | 1.49801 | + | 1.18766i | 0.184393 | + | 0.146190i | ||||
\(67\) | 0.128871 | + | 0.480953i | 0.0157441 | + | 0.0587578i | 0.973351 | − | 0.229320i | \(-0.0736504\pi\) |
−0.957607 | + | 0.288078i | \(0.906984\pi\) | |||||||
\(68\) | −1.99668 | − | 0.603451i | −0.242134 | − | 0.0731792i | ||||
\(69\) | 0.961956 | − | 0.961956i | 0.115806 | − | 0.115806i | ||||
\(70\) | −21.3935 | + | 2.47225i | −2.55701 | + | 0.295490i | ||||
\(71\) | −6.16894 | + | 3.56164i | −0.732118 | + | 0.422689i | −0.819197 | − | 0.573513i | \(-0.805580\pi\) |
0.0870783 | + | 0.996201i | \(0.472247\pi\) | |||||||
\(72\) | −1.61324 | − | 2.32325i | −0.190122 | − | 0.273797i | ||||
\(73\) | 4.49616 | − | 2.59586i | 0.526236 | − | 0.303823i | −0.213246 | − | 0.976998i | \(-0.568404\pi\) |
0.739482 | + | 0.673176i | \(0.235070\pi\) | |||||||
\(74\) | 4.18674 | + | 1.81247i | 0.486698 | + | 0.210695i | ||||
\(75\) | −3.66162 | − | 3.66162i | −0.422807 | − | 0.422807i | ||||
\(76\) | 8.25121 | − | 2.81382i | 0.946478 | − | 0.322767i | ||||
\(77\) | −4.56246 | + | 4.56246i | −0.519940 | + | 0.519940i | ||||
\(78\) | −3.70917 | − | 9.37216i | −0.419981 | − | 1.06119i | ||||
\(79\) | 5.32795 | + | 9.22827i | 0.599441 | + | 1.03826i | 0.992904 | + | 0.118921i | \(0.0379437\pi\) |
−0.393463 | + | 0.919341i | \(0.628723\pi\) | |||||||
\(80\) | −12.0925 | − | 4.07720i | −1.35199 | − | 0.455845i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 3.37676 | − | 4.25917i | 0.372901 | − | 0.470347i | ||||
\(83\) | 11.0024 | + | 11.0024i | 1.20767 | + | 1.20767i | 0.971781 | + | 0.235886i | \(0.0757993\pi\) |
0.235886 | + | 0.971781i | \(0.424201\pi\) | |||||||
\(84\) | 8.41456 | − | 4.50878i | 0.918104 | − | 0.491949i | ||||
\(85\) | 3.21397 | − | 0.861180i | 0.348604 | − | 0.0934081i | ||||
\(86\) | −0.346957 | − | 3.00238i | −0.0374133 | − | 0.323755i | ||||
\(87\) | 5.54153 | 0.594114 | ||||||||
\(88\) | −3.59790 | + | 1.29360i | −0.383538 | + | 0.137898i | ||||
\(89\) | 6.47336 | − | 11.2122i | 0.686175 | − | 1.18849i | −0.286891 | − | 0.957963i | \(-0.592622\pi\) |
0.973066 | − | 0.230526i | \(-0.0740448\pi\) | |||||||
\(90\) | 4.14050 | + | 1.79245i | 0.436447 | + | 0.188941i | ||||
\(91\) | 32.8606 | − | 8.80498i | 3.44473 | − | 0.923013i | ||||
\(92\) | 0.620553 | + | 2.64911i | 0.0646971 | + | 0.276189i | ||||
\(93\) | −6.98043 | − | 1.87040i | −0.723837 | − | 0.193951i | ||||
\(94\) | 2.77594 | − | 18.7803i | 0.286317 | − | 1.93704i | ||||
\(95\) | −8.81808 | + | 10.7531i | −0.904716 | + | 1.10325i | ||||
\(96\) | 5.64931 | − | 0.292062i | 0.576580 | − | 0.0298085i | ||||
\(97\) | −12.1995 | + | 7.04336i | −1.23867 | + | 0.715145i | −0.968822 | − | 0.247759i | \(-0.920306\pi\) |
−0.269845 | + | 0.962904i | \(0.586972\pi\) | |||||||
\(98\) | 8.21405 | + | 20.7549i | 0.829745 | + | 2.09656i | ||||
\(99\) | 1.30571 | − | 0.349864i | 0.131229 | − | 0.0351627i | ||||
\(100\) | 10.0837 | − | 2.36209i | 1.00837 | − | 0.236209i | ||||
\(101\) | 2.91164 | − | 0.780172i | 0.289719 | − | 0.0776300i | −0.111032 | − | 0.993817i | \(-0.535416\pi\) |
0.400752 | + | 0.916187i | \(0.368749\pi\) | |||||||
\(102\) | −1.18423 | + | 0.879229i | −0.117257 | + | 0.0870567i | ||||
\(103\) | 3.96486i | 0.390669i | 0.980737 | + | 0.195334i | \(0.0625792\pi\) | ||||
−0.980737 | + | 0.195334i | \(0.937421\pi\) | |||||||
\(104\) | 19.8388 | + | 3.57825i | 1.94535 | + | 0.350877i | ||||
\(105\) | −7.61409 | + | 13.1880i | −0.743059 | + | 1.28702i | ||||
\(106\) | 4.64976 | − | 3.45220i | 0.451624 | − | 0.335307i | ||||
\(107\) | −1.08576 | − | 1.08576i | −0.104965 | − | 0.104965i | 0.652674 | − | 0.757639i | \(-0.273647\pi\) |
−0.757639 | + | 0.652674i | \(0.773647\pi\) | |||||||
\(108\) | −1.99900 | − | 0.0633869i | −0.192353 | − | 0.00609941i | ||||
\(109\) | 1.30569 | − | 4.87291i | 0.125063 | − | 0.466740i | −0.874779 | − | 0.484522i | \(-0.838994\pi\) |
0.999842 | + | 0.0177814i | \(0.00566028\pi\) | |||||||
\(110\) | 3.78904 | − | 4.77919i | 0.361271 | − | 0.455678i | ||||
\(111\) | 2.79377 | − | 1.61299i | 0.265173 | − | 0.153098i | ||||
\(112\) | −1.20963 | + | 19.0545i | −0.114299 | + | 1.80048i | ||||
\(113\) | − | 11.3556i | − | 1.06825i | −0.845407 | − | 0.534123i | \(-0.820642\pi\) | ||
0.845407 | − | 0.534123i | \(-0.179358\pi\) | |||||||
\(114\) | 1.88049 | − | 5.87058i | 0.176124 | − | 0.549830i | ||||
\(115\) | −3.06897 | − | 3.06897i | −0.286183 | − | 0.286183i | ||||
\(116\) | −5.84295 | + | 9.41776i | −0.542504 | + | 0.874417i | ||||
\(117\) | −6.88440 | − | 1.84467i | −0.636463 | − | 0.170540i | ||||
\(118\) | −6.21345 | + | 0.718030i | −0.571994 | + | 0.0661000i | ||||
\(119\) | −2.48908 | − | 4.31122i | −0.228174 | − | 0.395209i | ||||
\(120\) | −7.41196 | + | 5.14678i | −0.676616 | + | 0.469835i | ||||
\(121\) | 9.17271i | 0.833883i | ||||||||
\(122\) | −9.73946 | + | 7.23102i | −0.881769 | + | 0.654666i | ||||
\(123\) | −0.994739 | − | 3.71242i | −0.0896926 | − | 0.334737i | ||||
\(124\) | 10.5388 | − | 9.89101i | 0.946415 | − | 0.888239i | ||||
\(125\) | −0.402258 | + | 0.402258i | −0.0359790 | + | 0.0359790i | ||||
\(126\) | 0.987053 | − | 6.67778i | 0.0879337 | − | 0.594904i | ||||
\(127\) | 7.85234 | − | 13.6007i | 0.696782 | − | 1.20686i | −0.272794 | − | 0.962073i | \(-0.587948\pi\) |
0.969576 | − | 0.244790i | \(-0.0787191\pi\) | |||||||
\(128\) | −5.46023 | + | 9.90888i | −0.482621 | + | 0.875829i | ||||
\(129\) | −1.85081 | − | 1.06857i | −0.162955 | − | 0.0940820i | ||||
\(130\) | −29.9005 | + | 11.8335i | −2.62244 | + | 1.03787i | ||||
\(131\) | −2.35142 | + | 8.77563i | −0.205445 | + | 0.766731i | 0.783869 | + | 0.620927i | \(0.213244\pi\) |
−0.989314 | + | 0.145804i | \(0.953423\pi\) | |||||||
\(132\) | −0.782142 | + | 2.58794i | −0.0680768 | + | 0.225251i | ||||
\(133\) | 18.9546 | + | 8.57962i | 1.64357 | + | 0.743947i | ||||
\(134\) | −0.565375 | + | 0.419760i | −0.0488409 | + | 0.0362618i | ||||
\(135\) | 2.76292 | − | 1.59517i | 0.237794 | − | 0.137291i | ||||
\(136\) | −0.245593 | − | 2.93964i | −0.0210594 | − | 0.252072i | ||||
\(137\) | −12.2184 | − | 7.05431i | −1.04389 | − | 0.602691i | −0.122958 | − | 0.992412i | \(-0.539238\pi\) |
−0.920933 | + | 0.389721i | \(0.872571\pi\) | |||||||
\(138\) | 1.76557 | + | 0.764327i | 0.150295 | + | 0.0650639i | ||||
\(139\) | −3.97119 | − | 14.8207i | −0.336832 | − | 1.25707i | −0.901870 | − | 0.432008i | \(-0.857805\pi\) |
0.565038 | − | 0.825065i | \(-0.308861\pi\) | |||||||
\(140\) | −14.3846 | − | 26.8454i | −1.21572 | − | 2.26885i | ||||
\(141\) | −9.49216 | − | 9.49216i | −0.799384 | − | 0.799384i | ||||
\(142\) | −7.89391 | − | 6.25846i | −0.662443 | − | 0.525198i | ||||
\(143\) | −4.81721 | + | 8.34365i | −0.402835 | + | 0.697731i | ||||
\(144\) | 2.21545 | − | 3.33043i | 0.184621 | − | 0.277536i | ||||
\(145\) | − | 17.6794i | − | 1.46819i | ||||||
\(146\) | 5.75339 | + | 4.56141i | 0.476154 | + | 0.377505i | ||||
\(147\) | 15.2457 | + | 4.08507i | 1.25744 | + | 0.336931i | ||||
\(148\) | −0.204484 | + | 6.44870i | −0.0168085 | + | 0.530080i | ||||
\(149\) | 0.382725 | − | 1.42835i | 0.0313540 | − | 0.117015i | −0.948475 | − | 0.316851i | \(-0.897374\pi\) |
0.979829 | + | 0.199836i | \(0.0640411\pi\) | |||||||
\(150\) | 2.90936 | − | 6.72053i | 0.237548 | − | 0.548729i | ||||
\(151\) | 7.62029i | 0.620130i | 0.950715 | + | 0.310065i | \(0.100351\pi\) | ||||
−0.950715 | + | 0.310065i | \(0.899649\pi\) | |||||||
\(152\) | 7.99420 | + | 9.38577i | 0.648415 | + | 0.761287i | ||||
\(153\) | 1.04294i | 0.0843168i | ||||||||
\(154\) | −8.37392 | − | 3.62512i | −0.674789 | − | 0.292121i | ||||
\(155\) | −5.96722 | + | 22.2700i | −0.479299 | + | 1.78877i | ||||
\(156\) | 10.3938 | − | 9.75494i | 0.832174 | − | 0.781020i | ||||
\(157\) | −13.5368 | − | 3.62717i | −1.08035 | − | 0.289480i | −0.325613 | − | 0.945503i | \(-0.605571\pi\) |
−0.754741 | + | 0.656023i | \(0.772237\pi\) | |||||||
\(158\) | −9.36219 | + | 11.8087i | −0.744816 | + | 0.939450i | ||||
\(159\) | − | 4.09499i | − | 0.324754i | ||||||
\(160\) | −0.931780 | − | 18.0233i | −0.0736637 | − | 1.42486i | ||||
\(161\) | −3.24676 | + | 5.62355i | −0.255881 | + | 0.443198i | ||||
\(162\) | −0.878592 | + | 1.10819i | −0.0690287 | + | 0.0870673i | ||||
\(163\) | −14.5582 | − | 14.5582i | −1.14029 | − | 1.14029i | −0.988397 | − | 0.151892i | \(-0.951463\pi\) |
−0.151892 | − | 0.988397i | \(-0.548537\pi\) | |||||||
\(164\) | 7.35805 | + | 2.22380i | 0.574567 | + | 0.173649i | ||||
\(165\) | −1.11619 | − | 4.16567i | −0.0868952 | − | 0.324297i | ||||
\(166\) | −8.74199 | + | 20.1937i | −0.678510 | + | 1.56734i | ||||
\(167\) | 7.40326 | + | 4.27428i | 0.572882 | + | 0.330753i | 0.758299 | − | 0.651906i | \(-0.226031\pi\) |
−0.185418 | + | 0.982660i | \(0.559364\pi\) | |||||||
\(168\) | 10.3081 | + | 8.71848i | 0.795284 | + | 0.672645i | ||||
\(169\) | 32.7338 | − | 18.8989i | 2.51798 | − | 1.45376i | ||||
\(170\) | 2.80505 | + | 3.77811i | 0.215137 | + | 0.289768i | ||||
\(171\) | −2.54029 | − | 3.54216i | −0.194261 | − | 0.270876i | ||||
\(172\) | 3.76749 | − | 2.01874i | 0.287269 | − | 0.153928i | ||||
\(173\) | −4.70336 | + | 17.5532i | −0.357590 | + | 1.33454i | 0.519604 | + | 0.854407i | \(0.326079\pi\) |
−0.877194 | + | 0.480136i | \(0.840587\pi\) | |||||||
\(174\) | 2.88393 | + | 7.28698i | 0.218630 | + | 0.552425i | ||||
\(175\) | 21.4057 | + | 12.3586i | 1.61812 | + | 0.934220i | ||||
\(176\) | −3.57348 | − | 4.05794i | −0.269361 | − | 0.305879i | ||||
\(177\) | −2.21141 | + | 3.83027i | −0.166219 | + | 0.287900i | ||||
\(178\) | 18.1126 | + | 2.67726i | 1.35760 | + | 0.200669i | ||||
\(179\) | −5.13000 | + | 5.13000i | −0.383435 | + | 0.383435i | −0.872338 | − | 0.488903i | \(-0.837397\pi\) |
0.488903 | + | 0.872338i | \(0.337397\pi\) | |||||||
\(180\) | −0.202226 | + | 6.37749i | −0.0150731 | + | 0.475350i | ||||
\(181\) | 3.20825 | + | 11.9733i | 0.238467 | + | 0.889972i | 0.976555 | + | 0.215267i | \(0.0690623\pi\) |
−0.738088 | + | 0.674704i | \(0.764271\pi\) | |||||||
\(182\) | 28.6797 | + | 38.6286i | 2.12588 | + | 2.86335i | ||||
\(183\) | 8.57743i | 0.634062i | ||||||||
\(184\) | −3.16057 | + | 2.19466i | −0.233000 | + | 0.161793i | ||||
\(185\) | −5.14599 | − | 8.91311i | −0.378340 | − | 0.655305i | ||||
\(186\) | −1.17323 | − | 10.1525i | −0.0860253 | − | 0.744417i | ||||
\(187\) | 1.36178 | + | 0.364888i | 0.0995832 | + | 0.0266832i | ||||
\(188\) | 26.1403 | − | 6.12335i | 1.90648 | − | 0.446591i | ||||
\(189\) | −3.37517 | − | 3.37517i | −0.245507 | − | 0.245507i | ||||
\(190\) | −18.7292 | − | 5.99943i | −1.35876 | − | 0.435244i | ||||
\(191\) | − | 21.9270i | − | 1.58658i | −0.608844 | − | 0.793290i | \(-0.708367\pi\) | ||
0.608844 | − | 0.793290i | \(-0.291633\pi\) | |||||||
\(192\) | 3.32407 | + | 7.27671i | 0.239894 | + | 0.525151i | ||||
\(193\) | −10.5038 | + | 6.06436i | −0.756078 | + | 0.436522i | −0.827886 | − | 0.560897i | \(-0.810457\pi\) |
0.0718078 | + | 0.997418i | \(0.477123\pi\) | |||||||
\(194\) | −15.6107 | − | 12.3765i | −1.12078 | − | 0.888579i | ||||
\(195\) | −5.88513 | + | 21.9636i | −0.421443 | + | 1.57285i | ||||
\(196\) | −23.0174 | + | 21.6026i | −1.64410 | + | 1.54304i | ||||
\(197\) | 0.201110 | + | 0.201110i | 0.0143285 | + | 0.0143285i | 0.714235 | − | 0.699906i | \(-0.246775\pi\) |
−0.699906 | + | 0.714235i | \(0.746775\pi\) | |||||||
\(198\) | 1.13958 | + | 1.53490i | 0.0809866 | + | 0.109081i | ||||
\(199\) | −1.66960 | + | 2.89183i | −0.118355 | + | 0.204996i | −0.919116 | − | 0.393987i | \(-0.871095\pi\) |
0.800761 | + | 0.598984i | \(0.204429\pi\) | |||||||
\(200\) | 8.35384 | + | 12.0305i | 0.590706 | + | 0.850684i | ||||
\(201\) | 0.497919i | 0.0351205i | ||||||||
\(202\) | 2.54119 | + | 3.42272i | 0.178797 | + | 0.240822i | ||||
\(203\) | −25.5496 | + | 6.84599i | −1.79323 | + | 0.480494i | ||||
\(204\) | −1.77246 | − | 1.09967i | −0.124097 | − | 0.0769922i | ||||
\(205\) | −11.8439 | + | 3.17356i | −0.827214 | + | 0.221651i | ||||
\(206\) | −5.21369 | + | 2.06339i | −0.363255 | + | 0.143763i | ||||
\(207\) | 1.17815 | − | 0.680206i | 0.0818871 | − | 0.0472776i | ||||
\(208\) | 5.61920 | + | 27.9497i | 0.389622 | + | 1.93797i | ||||
\(209\) | −5.51380 | + | 2.07762i | −0.381398 | + | 0.143712i | ||||
\(210\) | −21.3044 | − | 3.14904i | −1.47014 | − | 0.217305i | ||||
\(211\) | 7.77642 | + | 2.08368i | 0.535351 | + | 0.143447i | 0.516358 | − | 0.856373i | \(-0.327287\pi\) |
0.0189927 | + | 0.999820i | \(0.493954\pi\) | |||||||
\(212\) | 6.95939 | + | 4.31773i | 0.477973 | + | 0.296543i | ||||
\(213\) | −6.88056 | + | 1.84364i | −0.471448 | + | 0.126324i | ||||
\(214\) | 0.862698 | − | 1.99280i | 0.0589728 | − | 0.136225i | ||||
\(215\) | −3.40909 | + | 5.90473i | −0.232498 | + | 0.402699i | ||||
\(216\) | −0.956966 | − | 2.66162i | −0.0651133 | − | 0.181100i | ||||
\(217\) | 34.4944 | 2.34163 | ||||||||
\(218\) | 7.08728 | − | 0.819010i | 0.480011 | − | 0.0554704i | ||||
\(219\) | 5.01482 | − | 1.34372i | 0.338870 | − | 0.0908000i | ||||
\(220\) | 8.25641 | + | 2.49531i | 0.556647 | + | 0.168233i | ||||
\(221\) | −5.25614 | − | 5.25614i | −0.353566 | − | 0.353566i | ||||
\(222\) | 3.57498 | + | 2.83431i | 0.239937 | + | 0.190227i | ||||
\(223\) | −4.56926 | − | 7.91418i | −0.305980 | − | 0.529973i | 0.671499 | − | 0.741005i | \(-0.265651\pi\) |
−0.977479 | + | 0.211032i | \(0.932317\pi\) | |||||||
\(224\) | −25.6857 | + | 8.32571i | −1.71620 | + | 0.556285i | ||||
\(225\) | −2.58916 | − | 4.48455i | −0.172610 | − | 0.298970i | ||||
\(226\) | 14.9324 | − | 5.90970i | 0.993286 | − | 0.393107i | ||||
\(227\) | −15.5483 | + | 15.5483i | −1.03197 | + | 1.03197i | −0.0325031 | + | 0.999472i | \(0.510348\pi\) |
−0.999472 | + | 0.0325031i | \(0.989652\pi\) | |||||||
\(228\) | 8.69832 | − | 0.582369i | 0.576061 | − | 0.0385683i | ||||
\(229\) | −15.2362 | − | 15.2362i | −1.00684 | − | 1.00684i | −0.999976 | − | 0.00686139i | \(-0.997816\pi\) |
−0.00686139 | − | 0.999976i | \(-0.502184\pi\) | |||||||
\(230\) | 2.43847 | − | 5.63278i | 0.160788 | − | 0.371415i | ||||
\(231\) | −5.58784 | + | 3.22614i | −0.367653 | + | 0.212265i | ||||
\(232\) | −15.4249 | − | 2.78214i | −1.01270 | − | 0.182656i | ||||
\(233\) | 22.2418 | − | 12.8413i | 1.45711 | − | 0.841262i | 0.458241 | − | 0.888828i | \(-0.348480\pi\) |
0.998868 | + | 0.0475655i | \(0.0151463\pi\) | |||||||
\(234\) | −1.15709 | − | 10.0128i | −0.0756412 | − | 0.654558i | ||||
\(235\) | −30.2833 | + | 30.2833i | −1.97546 | + | 1.97546i | ||||
\(236\) | −4.17780 | − | 7.79686i | −0.271952 | − | 0.507532i | ||||
\(237\) | 2.75795 | + | 10.2928i | 0.179148 | + | 0.668589i | ||||
\(238\) | 4.37378 | − | 5.51674i | 0.283510 | − | 0.357597i | ||||
\(239\) | − | 15.2632i | − | 0.987297i | −0.869662 | − | 0.493648i | \(-0.835663\pi\) | ||
0.869662 | − | 0.493648i | \(-0.164337\pi\) | |||||||
\(240\) | −10.6252 | − | 7.06806i | −0.685856 | − | 0.456241i | ||||
\(241\) | −5.31233 | − | 3.06708i | −0.342197 | − | 0.197568i | 0.319046 | − | 0.947739i | \(-0.396638\pi\) |
−0.661243 | + | 0.750171i | \(0.729971\pi\) | |||||||
\(242\) | −12.0619 | + | 4.77367i | −0.775368 | + | 0.306863i | ||||
\(243\) | 0.258819 | + | 0.965926i | 0.0166032 | + | 0.0619642i | ||||
\(244\) | −14.5772 | − | 9.04398i | −0.933212 | − | 0.578981i | ||||
\(245\) | 13.0328 | − | 48.6390i | 0.832634 | − | 3.10743i | ||||
\(246\) | 4.36406 | − | 3.24008i | 0.278242 | − | 0.206580i | ||||
\(247\) | 30.6539 | + | 5.04914i | 1.95046 | + | 0.321269i | ||||
\(248\) | 18.4911 | + | 8.71082i | 1.17418 | + | 0.553138i | ||||
\(249\) | 7.77985 | + | 13.4751i | 0.493028 | + | 0.853949i | ||||
\(250\) | −0.738303 | − | 0.319616i | −0.0466944 | − | 0.0202143i | ||||
\(251\) | −0.466454 | − | 1.74083i | −0.0294423 | − | 0.109880i | 0.949641 | − | 0.313340i | \(-0.101448\pi\) |
−0.979083 | + | 0.203460i | \(0.934781\pi\) | |||||||
\(252\) | 9.29480 | − | 2.17730i | 0.585517 | − | 0.137157i | ||||
\(253\) | −0.475960 | − | 1.77631i | −0.0299233 | − | 0.111675i | ||||
\(254\) | 21.9711 | + | 3.24758i | 1.37859 | + | 0.203771i | ||||
\(255\) | 3.32734 | 0.208366 | ||||||||
\(256\) | −15.8716 | − | 2.02329i | −0.991972 | − | 0.126456i | ||||
\(257\) | 5.68681 | + | 3.28328i | 0.354733 | + | 0.204805i | 0.666768 | − | 0.745265i | \(-0.267677\pi\) |
−0.312035 | + | 0.950071i | \(0.601010\pi\) | |||||||
\(258\) | 0.441938 | − | 2.98987i | 0.0275139 | − | 0.186141i | ||||
\(259\) | −10.8882 | + | 10.8882i | −0.676559 | + | 0.676559i | ||||
\(260\) | −31.1216 | − | 33.1600i | −1.93008 | − | 2.05649i | ||||
\(261\) | 5.35271 | + | 1.43425i | 0.331324 | + | 0.0887781i | ||||
\(262\) | −12.7635 | + | 1.47496i | −0.788530 | + | 0.0911231i | ||||
\(263\) | −6.20632 | − | 10.7497i | −0.382698 | − | 0.662852i | 0.608749 | − | 0.793363i | \(-0.291672\pi\) |
−0.991447 | + | 0.130510i | \(0.958338\pi\) | |||||||
\(264\) | −3.81012 | + | 0.318317i | −0.234496 | + | 0.0195910i | ||||
\(265\) | −13.0644 | −0.802542 | ||||||||
\(266\) | −1.41764 | + | 29.3898i | −0.0869208 | + | 1.80201i | ||||
\(267\) | 9.15471 | − | 9.15471i | 0.560259 | − | 0.560259i | ||||
\(268\) | −0.846208 | − | 0.525002i | −0.0516904 | − | 0.0320696i | ||||
\(269\) | 2.66489 | − | 9.94550i | 0.162481 | − | 0.606388i | −0.835867 | − | 0.548932i | \(-0.815035\pi\) |
0.998348 | − | 0.0574557i | \(-0.0182988\pi\) | |||||||
\(270\) | 3.53550 | + | 2.80301i | 0.215163 | + | 0.170586i | ||||
\(271\) | −15.1265 | + | 8.73329i | −0.918870 | + | 0.530510i | −0.883274 | − | 0.468856i | \(-0.844666\pi\) |
−0.0355956 | + | 0.999366i | \(0.511333\pi\) | |||||||
\(272\) | 3.73775 | − | 1.85280i | 0.226634 | − | 0.112342i | ||||
\(273\) | 34.0198 | 2.05897 | ||||||||
\(274\) | 2.91753 | − | 19.7382i | 0.176254 | − | 1.19243i | ||||
\(275\) | −6.76138 | + | 1.81171i | −0.407727 | + | 0.109250i | ||||
\(276\) | −0.0862323 | + | 2.71946i | −0.00519057 | + | 0.163692i | ||||
\(277\) | −16.3659 | − | 16.3659i | −0.983330 | − | 0.983330i | 0.0165333 | − | 0.999863i | \(-0.494737\pi\) |
−0.999863 | + | 0.0165333i | \(0.994737\pi\) | |||||||
\(278\) | 17.4221 | − | 12.9350i | 1.04491 | − | 0.775790i | ||||
\(279\) | −6.25848 | − | 3.61333i | −0.374685 | − | 0.216325i | ||||
\(280\) | 27.8150 | − | 32.8863i | 1.66226 | − | 1.96533i | ||||
\(281\) | 0.304259 | − | 0.526991i | 0.0181505 | − | 0.0314377i | −0.856807 | − | 0.515636i | \(-0.827556\pi\) |
0.874958 | + | 0.484199i | \(0.160889\pi\) | |||||||
\(282\) | 7.54205 | − | 17.4219i | 0.449122 | − | 1.03746i | ||||
\(283\) | −12.4028 | − | 3.32332i | −0.737270 | − | 0.197551i | −0.129406 | − | 0.991592i | \(-0.541307\pi\) |
−0.607865 | + | 0.794041i | \(0.707974\pi\) | |||||||
\(284\) | 4.12156 | − | 13.6373i | 0.244570 | − | 0.809227i | ||||
\(285\) | −11.3007 | + | 8.10442i | −0.669397 | + | 0.480064i | ||||
\(286\) | −13.4787 | − | 1.99231i | −0.797011 | − | 0.117808i | ||||
\(287\) | 9.17261 | + | 15.8874i | 0.541442 | + | 0.937805i | ||||
\(288\) | 5.53241 | + | 1.18004i | 0.326000 | + | 0.0695344i | ||||
\(289\) | 7.95614 | − | 13.7804i | 0.468008 | − | 0.810614i | ||||
\(290\) | 23.2480 | − | 9.20073i | 1.36517 | − | 0.540285i | ||||
\(291\) | −13.6067 | + | 3.64591i | −0.797640 | + | 0.213727i | ||||
\(292\) | −3.00396 | + | 9.93942i | −0.175793 | + | 0.581661i | ||||
\(293\) | −4.13759 | + | 4.13759i | −0.241721 | + | 0.241721i | −0.817562 | − | 0.575841i | \(-0.804675\pi\) |
0.575841 | + | 0.817562i | \(0.304675\pi\) | |||||||
\(294\) | 2.56240 | + | 22.1736i | 0.149442 | + | 1.29319i | ||||
\(295\) | 12.2199 | + | 7.05515i | 0.711469 | + | 0.410767i | ||||
\(296\) | −8.58631 | + | 3.08715i | −0.499069 | + | 0.179437i | ||||
\(297\) | 1.35177 | 0.0784378 | ||||||||
\(298\) | 2.07742 | − | 0.240068i | 0.120342 | − | 0.0139068i | ||||
\(299\) | −2.50951 | + | 9.36561i | −0.145129 | + | 0.541627i | ||||
\(300\) | 10.3514 | + | 0.328237i | 0.597640 | + | 0.0189508i | ||||
\(301\) | 9.85338 | + | 2.64020i | 0.567939 | + | 0.152179i | ||||
\(302\) | −10.0205 | + | 3.96576i | −0.576615 | + | 0.228204i | ||||
\(303\) | 3.01435 | 0.173170 | ||||||||
\(304\) | −8.18172 | + | 15.3967i | −0.469254 | + | 0.883063i | ||||
\(305\) | 27.3650 | 1.56691 | ||||||||
\(306\) | −1.37144 | + | 0.542768i | −0.0784001 | + | 0.0310280i | ||||
\(307\) | −5.66875 | − | 1.51894i | −0.323532 | − | 0.0866902i | 0.0933975 | − | 0.995629i | \(-0.470227\pi\) |
−0.416930 | + | 0.908939i | \(0.636894\pi\) | |||||||
\(308\) | 0.408991 | − | 12.8981i | 0.0233044 | − | 0.734937i | ||||
\(309\) | −1.02618 | + | 3.82976i | −0.0583774 | + | 0.217867i | ||||
\(310\) | −32.3900 | + | 3.74300i | −1.83963 | + | 0.212588i | ||||
\(311\) | 16.3824 | 0.928963 | 0.464482 | − | 0.885583i | \(-0.346241\pi\) | ||||
0.464482 | + | 0.885583i | \(0.346241\pi\) | |||||||
\(312\) | 18.2367 | + | 8.59098i | 1.03245 | + | 0.486369i | ||||
\(313\) | −25.7707 | − | 14.8787i | −1.45664 | − | 0.840994i | −0.457799 | − | 0.889056i | \(-0.651362\pi\) |
−0.998844 | + | 0.0480619i | \(0.984696\pi\) | |||||||
\(314\) | −2.27518 | − | 19.6882i | −0.128396 | − | 1.11107i | ||||
\(315\) | −10.7679 | + | 10.7679i | −0.606705 | + | 0.606705i | ||||
\(316\) | −20.4004 | − | 6.16555i | −1.14761 | − | 0.346840i | ||||
\(317\) | −3.96607 | + | 1.06271i | −0.222757 | + | 0.0596875i | −0.368471 | − | 0.929639i | \(-0.620119\pi\) |
0.145714 | + | 0.989327i | \(0.453452\pi\) | |||||||
\(318\) | 5.38482 | − | 2.13112i | 0.301965 | − | 0.119507i | ||||
\(319\) | 3.74544 | − | 6.48730i | 0.209705 | − | 0.363219i | ||||
\(320\) | 23.2152 | − | 10.6049i | 1.29777 | − | 0.592834i | ||||
\(321\) | −0.767749 | − | 1.32978i | −0.0428516 | − | 0.0742211i | ||||
\(322\) | −9.08452 | − | 1.34280i | −0.506261 | − | 0.0748312i | ||||
\(323\) | −0.447295 | − | 4.52402i | −0.0248881 | − | 0.251723i | ||||
\(324\) | −1.91448 | − | 0.578605i | −0.106360 | − | 0.0321447i | ||||
\(325\) | 35.6496 | + | 9.55227i | 1.97748 | + | 0.529865i | ||||
\(326\) | 11.5673 | − | 26.7201i | 0.640655 | − | 1.47989i | ||||
\(327\) | 2.52241 | − | 4.36893i | 0.139489 | − | 0.241603i | ||||
\(328\) | 0.905042 | + | 10.8330i | 0.0499726 | + | 0.598151i | ||||
\(329\) | 55.4908 | + | 32.0376i | 3.05931 | + | 1.76629i | ||||
\(330\) | 4.89687 | − | 3.63566i | 0.269564 | − | 0.200137i | ||||
\(331\) | 4.30545 | + | 4.30545i | 0.236649 | + | 0.236649i | 0.815461 | − | 0.578812i | \(-0.196484\pi\) |
−0.578812 | + | 0.815461i | \(0.696484\pi\) | |||||||
\(332\) | −31.1038 | − | 0.986282i | −1.70704 | − | 0.0541292i | ||||
\(333\) | 3.11605 | − | 0.834943i | 0.170759 | − | 0.0457546i | ||||
\(334\) | −1.76776 | + | 11.9595i | −0.0967275 | + | 0.654397i | ||||
\(335\) | 1.58854 | 0.0867910 | ||||||||
\(336\) | −6.10007 | + | 18.0921i | −0.332786 | + | 0.987006i | ||||
\(337\) | 1.60332 | − | 0.925676i | 0.0873383 | − | 0.0504248i | −0.455695 | − | 0.890136i | \(-0.650609\pi\) |
0.543033 | + | 0.839711i | \(0.317276\pi\) | |||||||
\(338\) | 41.8869 | + | 33.2088i | 2.27835 | + | 1.80632i | ||||
\(339\) | 2.93905 | − | 10.9687i | 0.159627 | − | 0.595737i | ||||
\(340\) | −3.50832 | + | 5.65478i | −0.190266 | + | 0.306673i | ||||
\(341\) | −6.90759 | + | 6.90759i | −0.374067 | + | 0.374067i | ||||
\(342\) | 3.33584 | − | 5.18384i | 0.180381 | − | 0.280310i | ||||
\(343\) | −41.9254 | −2.26376 | ||||||||
\(344\) | 4.61528 | + | 3.90357i | 0.248839 | + | 0.210466i | ||||
\(345\) | −2.17009 | − | 3.75871i | −0.116834 | − | 0.202362i | ||||
\(346\) | −25.5297 | + | 2.95023i | −1.37249 | + | 0.158605i | ||||
\(347\) | −11.7751 | − | 3.15512i | −0.632119 | − | 0.169376i | −0.0714880 | − | 0.997441i | \(-0.522775\pi\) |
−0.560631 | + | 0.828066i | \(0.689441\pi\) | |||||||
\(348\) | −8.08135 | + | 7.58459i | −0.433206 | + | 0.406577i | ||||
\(349\) | 1.58321 | − | 1.58321i | 0.0847475 | − | 0.0847475i | −0.663462 | − | 0.748210i | \(-0.730914\pi\) |
0.748210 | + | 0.663462i | \(0.230914\pi\) | |||||||
\(350\) | −5.11127 | + | 34.5796i | −0.273209 | + | 1.84836i | ||||
\(351\) | −6.17238 | − | 3.56363i | −0.329457 | − | 0.190212i | ||||
\(352\) | 3.47638 | − | 6.81087i | 0.185292 | − | 0.363021i | ||||
\(353\) | 0.256587 | 0.0136568 | 0.00682838 | − | 0.999977i | \(-0.497826\pi\) | ||||
0.00682838 | + | 0.999977i | \(0.497826\pi\) | |||||||
\(354\) | −6.18757 | − | 0.914595i | −0.328866 | − | 0.0486102i | ||||
\(355\) | 5.88185 | + | 21.9514i | 0.312176 | + | 1.16506i | ||||
\(356\) | 5.90566 | + | 25.2110i | 0.312999 | + | 1.33618i | ||||
\(357\) | −1.28845 | − | 4.80854i | −0.0681917 | − | 0.254495i | ||||
\(358\) | −9.41559 | − | 4.07607i | −0.497630 | − | 0.215427i | ||||
\(359\) | 9.24243 | + | 16.0084i | 0.487797 | + | 0.844889i | 0.999902 | − | 0.0140342i | \(-0.00446737\pi\) |
−0.512105 | + | 0.858923i | \(0.671134\pi\) | |||||||
\(360\) | −8.49149 | + | 3.05305i | −0.447541 | + | 0.160910i | ||||
\(361\) | 12.5383 | + | 14.2755i | 0.659911 | + | 0.751344i | ||||
\(362\) | −14.0750 | + | 10.4499i | −0.739767 | + | 0.549237i | ||||
\(363\) | −2.37407 | + | 8.86016i | −0.124606 | + | 0.465038i | ||||
\(364\) | −35.8702 | + | 57.8163i | −1.88011 | + | 3.03040i | ||||
\(365\) | −4.28692 | − | 15.9990i | −0.224388 | − | 0.837426i | ||||
\(366\) | −11.2791 | + | 4.46387i | −0.589569 | + | 0.233330i | ||||
\(367\) | −3.36152 | − | 1.94078i | −0.175470 | − | 0.101308i | 0.409693 | − | 0.912224i | \(-0.365636\pi\) |
−0.585163 | + | 0.810916i | \(0.698969\pi\) | |||||||
\(368\) | −4.53076 | − | 3.01392i | −0.236182 | − | 0.157112i | ||||
\(369\) | − | 3.84338i | − | 0.200078i | ||||||
\(370\) | 9.04245 | − | 11.4054i | 0.470094 | − | 0.592939i | ||||
\(371\) | 5.05894 | + | 18.8802i | 0.262647 | + | 0.980212i | ||||
\(372\) | 12.7397 | − | 6.82633i | 0.660523 | − | 0.353929i | ||||
\(373\) | −3.02320 | + | 3.02320i | −0.156535 | + | 0.156535i | −0.781030 | − | 0.624494i | \(-0.785305\pi\) |
0.624494 | + | 0.781030i | \(0.285305\pi\) | |||||||
\(374\) | 0.228880 | + | 1.98060i | 0.0118351 | + | 0.102415i | ||||
\(375\) | −0.492663 | + | 0.284439i | −0.0254410 | + | 0.0146884i | ||||
\(376\) | 21.6560 | + | 31.1871i | 1.11682 | + | 1.60835i | ||||
\(377\) | −34.2044 | + | 19.7479i | −1.76162 | + | 1.01707i | ||||
\(378\) | 2.68176 | − | 6.19477i | 0.137935 | − | 0.318624i | ||||
\(379\) | 16.4507 | + | 16.4507i | 0.845017 | + | 0.845017i | 0.989506 | − | 0.144489i | \(-0.0461539\pi\) |
−0.144489 | + | 0.989506i | \(0.546154\pi\) | |||||||
\(380\) | −1.85796 | − | 27.7507i | −0.0953113 | − | 1.42358i | ||||
\(381\) | 11.1049 | − | 11.1049i | 0.568921 | − | 0.568921i | ||||
\(382\) | 28.8334 | − | 11.4112i | 1.47525 | − | 0.583850i | ||||
\(383\) | 2.70745 | + | 4.68944i | 0.138344 | + | 0.239619i | 0.926870 | − | 0.375382i | \(-0.122489\pi\) |
−0.788526 | + | 0.615002i | \(0.789155\pi\) | |||||||
\(384\) | −7.83879 | + | 8.15803i | −0.400021 | + | 0.416313i | ||||
\(385\) | 10.2925 | + | 17.8272i | 0.524555 | + | 0.908556i | ||||
\(386\) | −13.4409 | − | 10.6562i | −0.684122 | − | 0.542386i | ||||
\(387\) | −1.51118 | − | 1.51118i | −0.0768176 | − | 0.0768176i | ||||
\(388\) | 8.15064 | − | 26.9687i | 0.413786 | − | 1.36913i | ||||
\(389\) | 23.4435 | − | 6.28166i | 1.18863 | − | 0.318493i | 0.390286 | − | 0.920694i | \(-0.372376\pi\) |
0.798345 | + | 0.602201i | \(0.205709\pi\) | |||||||
\(390\) | −31.9444 | + | 3.69151i | −1.61757 | + | 0.186927i | ||||
\(391\) | 1.41883 | 0.0717532 | ||||||||
\(392\) | −40.3856 | − | 19.0250i | −2.03978 | − | 0.960905i | ||||
\(393\) | −4.54260 | + | 7.86802i | −0.229144 | + | 0.396889i | ||||
\(394\) | −0.159793 | + | 0.369117i | −0.00805027 | + | 0.0185959i | ||||
\(395\) | 32.8376 | − | 8.79881i | 1.65224 | − | 0.442716i | ||||
\(396\) | −1.42530 | + | 2.29732i | −0.0716239 | + | 0.115445i | ||||
\(397\) | 7.29036 | + | 1.95345i | 0.365893 | + | 0.0980406i | 0.437081 | − | 0.899422i | \(-0.356012\pi\) |
−0.0711882 | + | 0.997463i | \(0.522679\pi\) | |||||||
\(398\) | −4.67158 | − | 0.690514i | −0.234165 | − | 0.0346124i | ||||
\(399\) | 16.0882 | + | 13.1931i | 0.805415 | + | 0.660480i | ||||
\(400\) | −11.4723 | + | 17.2460i | −0.573615 | + | 0.862301i | ||||
\(401\) | −19.5255 | + | 11.2730i | −0.975055 | + | 0.562948i | −0.900774 | − | 0.434289i | \(-0.857000\pi\) |
−0.0742814 | + | 0.997237i | \(0.523666\pi\) | |||||||
\(402\) | −0.654752 | + | 0.259128i | −0.0326561 | + | 0.0129241i | ||||
\(403\) | 49.7513 | − | 13.3308i | 2.47829 | − | 0.664055i | ||||
\(404\) | −3.17831 | + | 5.12285i | −0.158127 | + | 0.254871i | ||||
\(405\) | 3.08164 | − | 0.825723i | 0.153128 | − | 0.0410305i | ||||
\(406\) | −22.2988 | − | 30.0343i | −1.10667 | − | 1.49058i | ||||
\(407\) | − | 4.36078i | − | 0.216156i | ||||||
\(408\) | 0.523611 | − | 2.90304i | 0.0259226 | − | 0.143722i | ||||
\(409\) | 3.96510 | − | 6.86776i | 0.196062 | − | 0.339589i | −0.751186 | − | 0.660090i | \(-0.770518\pi\) |
0.947248 | + | 0.320501i | \(0.103851\pi\) | |||||||
\(410\) | −10.3370 | − | 13.9229i | −0.510506 | − | 0.687601i | ||||
\(411\) | −9.97630 | − | 9.97630i | −0.492095 | − | 0.492095i | ||||
\(412\) | −5.42663 | − | 5.78205i | −0.267351 | − | 0.284861i | ||||
\(413\) | 5.46392 | − | 20.3916i | 0.268862 | − | 1.00341i | ||||
\(414\) | 1.50759 | + | 1.19525i | 0.0740939 | + | 0.0587432i | ||||
\(415\) | 42.9902 | − | 24.8204i | 2.11031 | − | 1.21839i | ||||
\(416\) | −33.8289 | + | 21.9347i | −1.65860 | + | 1.07544i | ||||
\(417\) | − | 15.3435i | − | 0.751374i | ||||||
\(418\) | −5.60151 | − | 6.16928i | −0.273979 | − | 0.301749i | ||||
\(419\) | −15.4451 | − | 15.4451i | −0.754540 | − | 0.754540i | 0.220783 | − | 0.975323i | \(-0.429139\pi\) |
−0.975323 | + | 0.220783i | \(0.929139\pi\) | |||||||
\(420\) | −6.94635 | − | 29.6536i | −0.338947 | − | 1.44695i | ||||
\(421\) | −8.73476 | − | 2.34047i | −0.425706 | − | 0.114068i | 0.0396036 | − | 0.999215i | \(-0.487390\pi\) |
−0.465310 | + | 0.885148i | \(0.654057\pi\) | |||||||
\(422\) | 1.30701 | + | 11.3102i | 0.0636244 | + | 0.550572i | ||||
\(423\) | −6.71197 | − | 11.6255i | −0.326347 | − | 0.565250i | ||||
\(424\) | −2.05590 | + | 11.3985i | −0.0998433 | + | 0.553558i | ||||
\(425\) | − | 5.40067i | − | 0.261971i | ||||||
\(426\) | −6.00513 | − | 8.08830i | −0.290949 | − | 0.391879i | ||||
\(427\) | −10.5965 | − | 39.5468i | −0.512802 | − | 1.91380i | ||||
\(428\) | 3.06945 | + | 0.0973305i | 0.148368 | + | 0.00470465i | ||||
\(429\) | −6.81256 | + | 6.81256i | −0.328914 | + | 0.328914i | ||||
\(430\) | −9.53874 | − | 1.40994i | −0.459999 | − | 0.0679932i | ||||
\(431\) | 16.0681 | − | 27.8307i | 0.773971 | − | 1.34056i | −0.161400 | − | 0.986889i | \(-0.551601\pi\) |
0.935371 | − | 0.353668i | \(-0.115066\pi\) | |||||||
\(432\) | 3.00194 | − | 2.64355i | 0.144431 | − | 0.127188i | ||||
\(433\) | 13.3561 | + | 7.71117i | 0.641855 | + | 0.370575i | 0.785329 | − | 0.619079i | \(-0.212494\pi\) |
−0.143474 | + | 0.989654i | \(0.545827\pi\) | |||||||
\(434\) | 17.9516 | + | 45.3593i | 0.861704 | + | 2.17731i | ||||
\(435\) | 4.57577 | − | 17.0770i | 0.219391 | − | 0.818779i | ||||
\(436\) | 4.76534 | + | 8.89337i | 0.228219 | + | 0.425915i | ||||
\(437\) | −4.81880 | + | 3.45584i | −0.230514 | + | 0.165315i | ||||
\(438\) | 4.37677 | + | 5.89507i | 0.209130 | + | 0.281677i | ||||
\(439\) | 29.9076 | − | 17.2671i | 1.42741 | − | 0.824116i | 0.430494 | − | 0.902593i | \(-0.358339\pi\) |
0.996916 | + | 0.0784776i | \(0.0250059\pi\) | |||||||
\(440\) | 1.01554 | + | 12.1556i | 0.0484140 | + | 0.579495i | ||||
\(441\) | 13.6689 | + | 7.89174i | 0.650900 | + | 0.375797i | ||||
\(442\) | 4.17629 | − | 9.64710i | 0.198646 | − | 0.458866i | ||||
\(443\) | −4.35049 | − | 16.2362i | −0.206698 | − | 0.771407i | −0.988925 | − | 0.148414i | \(-0.952583\pi\) |
0.782227 | − | 0.622993i | \(-0.214084\pi\) | |||||||
\(444\) | −1.86656 | + | 6.17605i | −0.0885832 | + | 0.293102i | ||||
\(445\) | −29.2067 | − | 29.2067i | −1.38453 | − | 1.38453i | ||||
\(446\) | 8.02903 | − | 10.1272i | 0.380185 | − | 0.479535i | ||||
\(447\) | 0.739367 | − | 1.28062i | 0.0349709 | − | 0.0605713i | ||||
\(448\) | −24.3155 | − | 29.4432i | −1.14880 | − | 1.39106i | ||||
\(449\) | − | 14.8326i | − | 0.699993i | −0.936751 | − | 0.349997i | \(-0.886183\pi\) | ||
0.936751 | − | 0.349997i | \(-0.113817\pi\) | |||||||
\(450\) | 4.54963 | − | 5.73853i | 0.214471 | − | 0.270517i | ||||
\(451\) | −5.01834 | − | 1.34466i | −0.236305 | − | 0.0633176i | ||||
\(452\) | 15.5422 | + | 16.5602i | 0.731045 | + | 0.778925i | ||||
\(453\) | −1.97228 | + | 7.36063i | −0.0926656 | + | 0.345833i | ||||
\(454\) | −28.5372 | − | 12.3540i | −1.33932 | − | 0.579800i | ||||
\(455\) | − | 108.535i | − | 5.08820i | ||||||
\(456\) | 5.29259 | + | 11.1350i | 0.247848 | + | 0.521445i | ||||
\(457\) | 6.86036i | 0.320914i | 0.987043 | + | 0.160457i | \(0.0512968\pi\) | ||||
−0.987043 | + | 0.160457i | \(0.948703\pi\) | |||||||
\(458\) | 12.1060 | − | 27.9645i | 0.565677 | − | 1.30670i | ||||
\(459\) | −0.269933 | + | 1.00740i | −0.0125994 | + | 0.0470216i | ||||
\(460\) | 8.67601 | + | 0.275111i | 0.404521 | + | 0.0128271i | ||||
\(461\) | −8.20902 | − | 2.19960i | −0.382332 | − | 0.102446i | 0.0625335 | − | 0.998043i | \(-0.480082\pi\) |
−0.444866 | + | 0.895597i | \(0.646749\pi\) | |||||||
\(462\) | −7.15033 | − | 5.66893i | −0.332664 | − | 0.263742i | ||||
\(463\) | − | 21.6390i | − | 1.00565i | −0.864388 | − | 0.502825i | \(-0.832294\pi\) | ||
0.864388 | − | 0.502825i | \(-0.167706\pi\) | |||||||
\(464\) | −4.36900 | − | 21.7313i | −0.202826 | − | 1.00885i | ||||
\(465\) | −11.5278 | + | 19.9667i | −0.534588 | + | 0.925934i | ||||
\(466\) | 28.4611 | + | 22.5646i | 1.31844 | + | 1.04528i | ||||
\(467\) | 1.73102 | + | 1.73102i | 0.0801022 | + | 0.0801022i | 0.746023 | − | 0.665921i | \(-0.231961\pi\) |
−0.665921 | + | 0.746023i | \(0.731961\pi\) | |||||||
\(468\) | 12.5644 | − | 6.73242i | 0.580792 | − | 0.311206i | ||||
\(469\) | −0.615128 | − | 2.29569i | −0.0284040 | − | 0.106005i | ||||
\(470\) | −55.5819 | − | 24.0617i | −2.56380 | − | 1.10989i | ||||
\(471\) | −12.1368 | − | 7.00716i | −0.559232 | − | 0.322873i | ||||
\(472\) | 8.07847 | − | 9.55136i | 0.371842 | − | 0.439637i | ||||
\(473\) | −2.50187 | + | 1.44446i | −0.115036 | + | 0.0664162i | ||||
\(474\) | −12.0995 | + | 8.98322i | −0.555748 | + | 0.412613i | ||||
\(475\) | 13.1544 | + | 18.3424i | 0.603567 | + | 0.841608i | ||||
\(476\) | 9.53058 | + | 2.88039i | 0.436834 | + | 0.132023i | ||||
\(477\) | 1.05986 | − | 3.95546i | 0.0485277 | − | 0.181108i | ||||
\(478\) | 20.0708 | − | 7.94330i | 0.918017 | − | 0.363318i | ||||
\(479\) | 13.0406 | + | 7.52898i | 0.595839 | + | 0.344008i | 0.767403 | − | 0.641165i | \(-0.221549\pi\) |
−0.171564 | + | 0.985173i | \(0.554882\pi\) | |||||||
\(480\) | 3.76473 | − | 17.6503i | 0.171836 | − | 0.805622i | ||||
\(481\) | −11.4962 | + | 19.9119i | −0.524180 | + | 0.907906i | ||||
\(482\) | 1.26848 | − | 8.58176i | 0.0577779 | − | 0.390889i | ||||
\(483\) | −4.59161 | + | 4.59161i | −0.208926 | + | 0.208926i | ||||
\(484\) | −12.5545 | − | 13.3768i | −0.570660 | − | 0.608036i | ||||
\(485\) | 11.6317 | + | 43.4102i | 0.528169 | + | 1.97115i | ||||
\(486\) | −1.13547 | + | 0.843029i | −0.0515062 | + | 0.0382406i | ||||
\(487\) | − | 28.4705i | − | 1.29012i | −0.764131 | − | 0.645061i | \(-0.776832\pi\) | ||
0.764131 | − | 0.645061i | \(-0.223168\pi\) | |||||||
\(488\) | 4.30632 | − | 23.8754i | 0.194938 | − | 1.08079i | ||||
\(489\) | −10.2942 | − | 17.8301i | −0.465521 | − | 0.806306i | ||||
\(490\) | 70.7416 | − | 8.17495i | 3.19578 | − | 0.369306i | ||||
\(491\) | −10.8331 | − | 2.90273i | −0.488893 | − | 0.130998i | 0.00594768 | − | 0.999982i | \(-0.498107\pi\) |
−0.494840 | + | 0.868984i | \(0.664773\pi\) | |||||||
\(492\) | 6.53177 | + | 4.05243i | 0.294475 | + | 0.182697i | ||||
\(493\) | 4.08672 | + | 4.08672i | 0.184056 | + | 0.184056i | ||||
\(494\) | 9.31344 | + | 42.9368i | 0.419031 | + | 1.93182i | ||||
\(495\) | − | 4.31262i | − | 0.193838i | ||||||
\(496\) | −1.83138 | + | 28.8486i | −0.0822316 | + | 1.29534i | ||||
\(497\) | 29.4456 | − | 17.0004i | 1.32082 | − | 0.762573i | ||||
\(498\) | −13.6706 | + | 17.2430i | −0.612596 | + | 0.772679i | ||||
\(499\) | 4.85370 | − | 18.1143i | 0.217282 | − | 0.810906i | −0.768069 | − | 0.640367i | \(-0.778782\pi\) |
0.985351 | − | 0.170539i | \(-0.0545509\pi\) | |||||||
\(500\) | 0.0360595 | − | 1.13719i | 0.00161263 | − | 0.0508565i | ||||
\(501\) | 6.04474 | + | 6.04474i | 0.270059 | + | 0.270059i | ||||
\(502\) | 2.04640 | − | 1.51934i | 0.0913352 | − | 0.0678115i | ||||
\(503\) | −18.3382 | + | 31.7628i | −0.817662 | + | 1.41623i | 0.0897386 | + | 0.995965i | \(0.471397\pi\) |
−0.907401 | + | 0.420267i | \(0.861936\pi\) | |||||||
\(504\) | 7.70031 | + | 11.0893i | 0.342999 | + | 0.493958i | ||||
\(505\) | − | 9.61683i | − | 0.427943i | ||||||
\(506\) | 2.08810 | − | 1.55030i | 0.0928273 | − | 0.0689193i | ||||
\(507\) | 36.5098 | − | 9.78277i | 1.62146 | − | 0.434468i | ||||
\(508\) | 7.16371 | + | 30.5815i | 0.317838 | + | 1.35684i | ||||
\(509\) | 5.91848 | − | 1.58585i | 0.262332 | − | 0.0702917i | −0.125256 | − | 0.992125i | \(-0.539975\pi\) |
0.387588 | + | 0.921833i | \(0.373308\pi\) | |||||||
\(510\) | 1.73162 | + | 4.37538i | 0.0766773 | + | 0.193745i | ||||
\(511\) | −21.4611 | + | 12.3906i | −0.949384 | + | 0.548127i | ||||
\(512\) | −5.59931 | − | 21.9237i | −0.247457 | − | 0.968899i | ||||
\(513\) | −1.53696 | − | 4.07894i | −0.0678583 | − | 0.180090i | ||||
\(514\) | −1.35790 | + | 9.18671i | −0.0598945 | + | 0.405208i | ||||
\(515\) | 12.2183 | + | 3.27387i | 0.538400 | + | 0.144264i | ||||
\(516\) | 4.16161 | − | 0.974854i | 0.183205 | − | 0.0429156i | ||||
\(517\) | −17.5278 | + | 4.69656i | −0.770872 | + | 0.206555i | ||||
\(518\) | −19.9842 | − | 8.65127i | −0.878053 | − | 0.380115i | ||||
\(519\) | −9.08619 | + | 15.7377i | −0.398840 | + | 0.690810i | ||||
\(520\) | 27.4082 | − | 58.1813i | 1.20193 | − | 2.55142i | ||||
\(521\) | −31.1364 | −1.36411 | −0.682055 | − | 0.731300i | \(-0.738914\pi\) | ||||
−0.682055 | + | 0.731300i | \(0.738914\pi\) | |||||||
\(522\) | 0.899651 | + | 7.78510i | 0.0393766 | + | 0.340744i | ||||
\(523\) | −13.9058 | + | 3.72605i | −0.608058 | + | 0.162929i | −0.549693 | − | 0.835367i | \(-0.685255\pi\) |
−0.0583651 | + | 0.998295i | \(0.518589\pi\) | |||||||
\(524\) | −8.58191 | − | 16.0161i | −0.374902 | − | 0.699665i | ||||
\(525\) | 17.4777 | + | 17.4777i | 0.762788 | + | 0.762788i | ||||
\(526\) | 10.9056 | − | 13.7555i | 0.475509 | − | 0.599769i | ||||
\(527\) | −3.76849 | − | 6.52722i | −0.164158 | − | 0.284330i | ||||
\(528\) | −2.40144 | − | 4.84455i | −0.104509 | − | 0.210832i | ||||
\(529\) | 10.5746 | + | 18.3158i | 0.459767 | + | 0.796340i | ||||
\(530\) | −6.79901 | − | 17.1794i | −0.295330 | − | 0.746227i | ||||
\(531\) | −3.12740 | + | 3.12740i | −0.135718 | + | 0.135718i | ||||
\(532\) | −39.3847 | + | 13.4309i | −1.70754 | + | 0.582304i | ||||
\(533\) | 19.3696 | + | 19.3696i | 0.838989 | + | 0.838989i | ||||
\(534\) | 16.8025 | + | 7.27393i | 0.727117 | + | 0.314774i | ||||
\(535\) | −4.24246 | + | 2.44939i | −0.183418 | + | 0.105896i | ||||
\(536\) | 0.249982 | − | 1.38596i | 0.0107976 | − | 0.0598646i | ||||
\(537\) | −6.28295 | + | 3.62746i | −0.271129 | + | 0.156536i | ||||
\(538\) | 14.4650 | − | 1.67158i | 0.623629 | − | 0.0720669i | ||||
\(539\) | 15.0866 | − | 15.0866i | 0.649826 | − | 0.649826i | ||||
\(540\) | −1.84595 | + | 6.10784i | −0.0794371 | + | 0.262840i | ||||
\(541\) | −1.77913 | − | 6.63981i | −0.0764908 | − | 0.285468i | 0.917076 | − | 0.398711i | \(-0.130543\pi\) |
−0.993567 | + | 0.113244i | \(0.963876\pi\) | |||||||
\(542\) | −19.3562 | − | 15.3460i | −0.831421 | − | 0.659168i | ||||
\(543\) | 12.3957i | 0.531951i | ||||||||
\(544\) | 4.38159 | + | 3.95081i | 0.187859 | + | 0.169390i | ||||
\(545\) | −13.9384 | − | 8.04735i | −0.597056 | − | 0.344711i | ||||
\(546\) | 17.7046 | + | 44.7353i | 0.757688 | + | 1.91449i | ||||
\(547\) | −3.91481 | − | 14.6103i | −0.167385 | − | 0.624689i | −0.997724 | − | 0.0674307i | \(-0.978520\pi\) |
0.830339 | − | 0.557259i | \(-0.188147\pi\) | |||||||
\(548\) | 27.4735 | − | 6.43566i | 1.17361 | − | 0.274918i | ||||
\(549\) | −2.22000 | + | 8.28516i | −0.0947474 | + | 0.353602i | ||||
\(550\) | −5.90112 | − | 7.94821i | −0.251624 | − | 0.338913i | ||||
\(551\) | −23.8338 | − | 3.92577i | −1.01535 | − | 0.167244i | ||||
\(552\) | −3.62090 | + | 1.30187i | −0.154116 | + | 0.0554112i | ||||
\(553\) | −25.4314 | − | 44.0484i | −1.08145 | − | 1.87313i | ||||
\(554\) | 13.0036 | − | 30.0379i | 0.552470 | − | 1.27619i | ||||
\(555\) | −2.66376 | − | 9.94128i | −0.113070 | − | 0.421984i | ||||
\(556\) | 26.0761 | + | 16.1781i | 1.10587 | + | 0.686102i | ||||
\(557\) | 3.25575 | + | 12.1506i | 0.137951 | + | 0.514839i | 0.999968 | + | 0.00796071i | \(0.00253400\pi\) |
−0.862018 | + | 0.506878i | \(0.830799\pi\) | |||||||
\(558\) | 1.49441 | − | 10.1102i | 0.0632633 | − | 0.427999i | ||||
\(559\) | 15.2319 | 0.644239 | ||||||||
\(560\) | 57.7201 | + | 19.4613i | 2.43912 | + | 0.822391i | ||||
\(561\) | 1.22094 | + | 0.704909i | 0.0515481 | + | 0.0297613i | ||||
\(562\) | 0.851323 | + | 0.125836i | 0.0359109 | + | 0.00530805i | ||||
\(563\) | −15.8639 | + | 15.8639i | −0.668584 | + | 0.668584i | −0.957388 | − | 0.288804i | \(-0.906742\pi\) |
0.288804 | + | 0.957388i | \(0.406742\pi\) | |||||||
\(564\) | 26.8344 | + | 0.850903i | 1.12993 | + | 0.0358295i | ||||
\(565\) | −34.9939 | − | 9.37659i | −1.47220 | − | 0.394476i | ||||
\(566\) | −2.08459 | − | 18.0389i | −0.0876218 | − | 0.758232i | ||||
\(567\) | −2.38660 | − | 4.13372i | −0.100228 | − | 0.173600i | ||||
\(568\) | 20.0777 | − | 1.67740i | 0.842443 | − | 0.0703819i | ||||
\(569\) | −27.3301 | −1.14574 | −0.572870 | − | 0.819647i | \(-0.694170\pi\) | ||||
−0.572870 | + | 0.819647i | \(0.694170\pi\) | |||||||
\(570\) | −16.5382 | − | 10.6425i | −0.692711 | − | 0.445764i | ||||
\(571\) | −16.6636 | + | 16.6636i | −0.697351 | + | 0.697351i | −0.963838 | − | 0.266488i | \(-0.914137\pi\) |
0.266488 | + | 0.963838i | \(0.414137\pi\) | |||||||
\(572\) | −4.39475 | − | 18.7610i | −0.183754 | − | 0.784436i | ||||
\(573\) | 5.67512 | − | 21.1798i | 0.237081 | − | 0.884800i | ||||
\(574\) | −16.1180 | + | 20.3299i | −0.672751 | + | 0.848554i | ||||
\(575\) | −6.10083 | + | 3.52232i | −0.254422 | + | 0.146891i | ||||
\(576\) | 1.32746 | + | 7.88910i | 0.0553107 | + | 0.328712i | ||||
\(577\) | 23.7894 | 0.990368 | 0.495184 | − | 0.868788i | \(-0.335101\pi\) | ||||
0.495184 | + | 0.868788i | \(0.335101\pi\) | |||||||
\(578\) | 22.2615 | + | 3.29051i | 0.925956 | + | 0.136867i | ||||
\(579\) | −11.7154 | + | 3.13914i | −0.486877 | + | 0.130458i | ||||
\(580\) | 24.1975 | + | 25.7823i | 1.00475 | + | 1.07055i | ||||
\(581\) | −52.5166 | − | 52.5166i | −2.17875 | − | 2.17875i | ||||
\(582\) | −11.8755 | − | 15.9951i | −0.492255 | − | 0.663018i | ||||
\(583\) | −4.79388 | − | 2.76775i | −0.198542 | − | 0.114628i | ||||
\(584\) | −14.6334 | + | 1.22255i | −0.605536 | + | 0.0505895i | ||||
\(585\) | −11.3692 | + | 19.6920i | −0.470059 | + | 0.814165i | ||||
\(586\) | −7.59412 | − | 3.28754i | −0.313710 | − | 0.135807i | ||||
\(587\) | 10.6469 | + | 2.85282i | 0.439443 | + | 0.117748i | 0.471755 | − | 0.881730i | \(-0.343621\pi\) |
−0.0323127 | + | 0.999478i | \(0.510287\pi\) | |||||||
\(588\) | −27.8243 | + | 14.9091i | −1.14745 | + | 0.614842i | ||||
\(589\) | 28.6974 | + | 12.9896i | 1.18246 | + | 0.535228i | ||||
\(590\) | −2.91788 | + | 19.7405i | −0.120127 | + | 0.812703i | ||||
\(591\) | 0.142207 | + | 0.246309i | 0.00584960 | + | 0.0101318i | ||||
\(592\) | −8.52802 | − | 9.68418i | −0.350499 | − | 0.398017i | ||||
\(593\) | 17.0318 | − | 29.5000i | 0.699414 | − | 1.21142i | −0.269257 | − | 0.963068i | \(-0.586778\pi\) |
0.968670 | − | 0.248351i | \(-0.0798887\pi\) | |||||||
\(594\) | 0.703490 | + | 1.77755i | 0.0288646 | + | 0.0729337i | ||||
\(595\) | −15.3409 | + | 4.11059i | −0.628916 | + | 0.168518i | ||||
\(596\) | 1.39682 | + | 2.60682i | 0.0572158 | + | 0.106780i | ||||
\(597\) | −2.36117 | + | 2.36117i | −0.0966362 | + | 0.0966362i | ||||
\(598\) | −13.6216 | + | 1.57412i | −0.557027 | + | 0.0643704i | ||||
\(599\) | −9.65977 | − | 5.57707i | −0.394688 | − | 0.227873i | 0.289502 | − | 0.957178i | \(-0.406510\pi\) |
−0.684189 | + | 0.729304i | \(0.739844\pi\) | |||||||
\(600\) | 4.95547 | + | 13.7827i | 0.202306 | + | 0.562676i | ||||
\(601\) | 24.2995 | 0.991195 | 0.495598 | − | 0.868552i | \(-0.334949\pi\) | ||||
0.495598 | + | 0.868552i | \(0.334949\pi\) | |||||||
\(602\) | 1.65610 | + | 14.3310i | 0.0674974 | + | 0.584087i | ||||
\(603\) | −0.128871 | + | 0.480953i | −0.00524803 | + | 0.0195859i | ||||
\(604\) | −10.4298 | − | 11.1129i | −0.424381 | − | 0.452176i | ||||
\(605\) | 28.2670 | + | 7.57411i | 1.14922 | + | 0.307932i | ||||
\(606\) | 1.56873 | + | 3.96380i | 0.0637254 | + | 0.161018i | ||||
\(607\) | 39.0235 | 1.58391 | 0.791957 | − | 0.610576i | \(-0.209062\pi\) | ||||
0.791957 | + | 0.610576i | \(0.209062\pi\) | |||||||
\(608\) | −24.5043 | − | 2.74598i | −0.993780 | − | 0.111364i | ||||
\(609\) | −26.4509 | −1.07184 | ||||||||
\(610\) | 14.2413 | + | 35.9843i | 0.576614 | + | 1.45696i | ||||
\(611\) | 92.4157 | + | 24.7627i | 3.73874 | + | 1.00179i | ||||
\(612\) | −1.42745 | − | 1.52095i | −0.0577014 | − | 0.0614806i | ||||
\(613\) | 6.18261 | − | 23.0738i | 0.249713 | − | 0.931943i | −0.721242 | − | 0.692683i | \(-0.756428\pi\) |
0.970955 | − | 0.239260i | \(-0.0769049\pi\) | |||||||
\(614\) | −0.952769 | − | 8.24475i | −0.0384506 | − | 0.332731i | ||||
\(615\) | −12.2617 | −0.494440 | ||||||||
\(616\) | 17.1735 | − | 6.17462i | 0.691941 | − | 0.248783i | ||||
\(617\) | 16.1141 | + | 9.30345i | 0.648727 | + | 0.374543i | 0.787968 | − | 0.615716i | \(-0.211133\pi\) |
−0.139241 | + | 0.990259i | \(0.544466\pi\) | |||||||
\(618\) | −5.57008 | + | 0.643682i | −0.224062 | + | 0.0258927i | ||||
\(619\) | 5.75885 | − | 5.75885i | 0.231468 | − | 0.231468i | −0.581837 | − | 0.813305i | \(-0.697666\pi\) |
0.813305 | + | 0.581837i | \(0.197666\pi\) | |||||||
\(620\) | −21.7784 | − | 40.6441i | −0.874640 | − | 1.63231i | ||||
\(621\) | 1.31406 | − | 0.352100i | 0.0527313 | − | 0.0141293i | ||||
\(622\) | 8.52576 | + | 21.5425i | 0.341852 | + | 0.863776i | ||||
\(623\) | −30.8987 | + | 53.5181i | −1.23793 | + | 2.14416i | ||||
\(624\) | −1.80619 | + | 28.4517i | −0.0723055 | + | 1.13898i | ||||
\(625\) | −12.0383 | − | 20.8510i | −0.481533 | − | 0.834039i | ||||
\(626\) | 6.15354 | − | 41.6310i | 0.245945 | − | 1.66391i | ||||
\(627\) | −5.86365 | + | 0.579746i | −0.234172 | + | 0.0231528i | ||||
\(628\) | 24.7055 | − | 13.2380i | 0.985856 | − | 0.528252i | ||||
\(629\) | 3.24986 | + | 0.870796i | 0.129580 | + | 0.0347209i | ||||
\(630\) | −19.7635 | − | 8.55573i | −0.787395 | − | 0.340868i | ||||
\(631\) | −10.1023 | + | 17.4977i | −0.402166 | + | 0.696572i | −0.993987 | − | 0.109497i | \(-0.965076\pi\) |
0.591821 | + | 0.806069i | \(0.298409\pi\) | |||||||
\(632\) | −2.50926 | − | 30.0348i | −0.0998130 | − | 1.19472i | ||||
\(633\) | 6.97215 | + | 4.02537i | 0.277118 | + | 0.159994i | ||||
\(634\) | −3.46146 | − | 4.66223i | −0.137472 | − | 0.185161i | ||||
\(635\) | −35.4284 | − | 35.4284i | −1.40593 | − | 1.40593i | ||||
\(636\) | 5.60474 | + | 5.97183i | 0.222242 | + | 0.236798i | ||||
\(637\) | −108.660 | + | 29.1153i | −4.30526 | + | 1.15359i | ||||
\(638\) | 10.4799 | + | 1.54904i | 0.414901 | + | 0.0613272i | ||||
\(639\) | −7.12328 | −0.281792 | ||||||||
\(640\) | 26.0269 | + | 25.0084i | 1.02881 | + | 0.988546i | ||||
\(641\) | −8.76659 | + | 5.06139i | −0.346259 | + | 0.199913i | −0.663037 | − | 0.748587i | \(-0.730733\pi\) |
0.316777 | + | 0.948500i | \(0.397399\pi\) | |||||||
\(642\) | 1.34908 | − | 1.70162i | 0.0532438 | − | 0.0671575i | ||||
\(643\) | −6.58426 | + | 24.5728i | −0.259658 | + | 0.969056i | 0.705782 | + | 0.708429i | \(0.250596\pi\) |
−0.965440 | + | 0.260627i | \(0.916071\pi\) | |||||||
\(644\) | −2.96203 | − | 12.6447i | −0.116720 | − | 0.498273i | ||||
\(645\) | −4.82119 | + | 4.82119i | −0.189834 | + | 0.189834i | ||||
\(646\) | 5.71619 | − | 2.94257i | 0.224901 | − | 0.115774i | ||||
\(647\) | 21.9536 | 0.863083 | 0.431542 | − | 0.902093i | \(-0.357970\pi\) | ||||
0.431542 | + | 0.902093i | \(0.357970\pi\) | |||||||
\(648\) | −0.235481 | − | 2.81861i | −0.00925056 | − | 0.110725i | ||||
\(649\) | 2.98932 | + | 5.17765i | 0.117341 | + | 0.203241i | ||||
\(650\) | 5.99176 | + | 51.8495i | 0.235016 | + | 2.03371i | ||||
\(651\) | 33.3190 | + | 8.92780i | 1.30587 | + | 0.349908i | ||||
\(652\) | 41.1562 | + | 1.30504i | 1.61180 | + | 0.0511093i | ||||
\(653\) | −9.69678 | + | 9.69678i | −0.379464 | + | 0.379464i | −0.870909 | − | 0.491445i | \(-0.836469\pi\) |
0.491445 | + | 0.870909i | \(0.336469\pi\) | |||||||
\(654\) | 7.05776 | + | 1.04322i | 0.275980 | + | 0.0407931i | ||||
\(655\) | 25.1017 | + | 14.4925i | 0.980805 | + | 0.566268i | ||||
\(656\) | −13.7741 | + | 6.82781i | −0.537788 | + | 0.266581i | ||||
\(657\) | 5.19172 | 0.202548 | ||||||||
\(658\) | −13.2501 | + | 89.6421i | −0.516544 | + | 3.49461i | ||||
\(659\) | −4.55596 | − | 17.0031i | −0.177475 | − | 0.662345i | −0.996117 | − | 0.0880409i | \(-0.971939\pi\) |
0.818642 | − | 0.574304i | \(-0.194727\pi\) | |||||||
\(660\) | 7.32925 | + | 4.54720i | 0.285291 | + | 0.176999i | ||||
\(661\) | 9.98552 | + | 37.2665i | 0.388392 | + | 1.44950i | 0.832750 | + | 0.553649i | \(0.186765\pi\) |
−0.444359 | + | 0.895849i | \(0.646568\pi\) | |||||||
\(662\) | −3.42091 | + | 7.90220i | −0.132958 | + | 0.307128i | ||||
\(663\) | −3.71665 | − | 6.43743i | −0.144343 | − | 0.250009i | ||||
\(664\) | −14.8901 | − | 41.4140i | −0.577848 | − | 1.60717i | ||||
\(665\) | 42.0905 | − | 51.3268i | 1.63220 | − | 1.99037i | ||||
\(666\) | 2.71959 | + | 3.66301i | 0.105382 | + | 0.141939i | ||||
\(667\) | 1.95117 | − | 7.28188i | 0.0755498 | − | 0.281956i | ||||
\(668\) | −16.6465 | + | 3.89943i | −0.644072 | + | 0.150873i | ||||
\(669\) | −2.36522 | − | 8.82713i | −0.0914447 | − | 0.341276i | ||||
\(670\) | 0.826707 | + | 2.08889i | 0.0319385 | + | 0.0807007i | ||||
\(671\) | 10.0413 | + | 5.79737i | 0.387641 | + | 0.223805i | ||||
\(672\) | −26.9653 | + | 1.39407i | −1.04021 | + | 0.0537775i | ||||
\(673\) | 37.6977i | 1.45314i | 0.687092 | + | 0.726571i | \(0.258887\pi\) | ||||
−0.687092 | + | 0.726571i | \(0.741113\pi\) | |||||||
\(674\) | 2.05164 | + | 1.62658i | 0.0790263 | + | 0.0626537i | ||||
\(675\) | −1.34025 | − | 5.00187i | −0.0515861 | − | 0.192522i | ||||
\(676\) | −21.8699 | + | 72.3628i | −0.841152 | + | 2.78318i | ||||
\(677\) | 15.1970 | − | 15.1970i | 0.584068 | − | 0.584068i | −0.351950 | − | 0.936019i | \(-0.614481\pi\) |
0.936019 | + | 0.351950i | \(0.114481\pi\) | |||||||
\(678\) | 15.9531 | − | 1.84355i | 0.612675 | − | 0.0708011i | ||||
\(679\) | 58.2305 | − | 33.6194i | 2.23468 | − | 1.29019i | ||||
\(680\) | −9.26170 | − | 1.67050i | −0.355170 | − | 0.0640608i | ||||
\(681\) | −19.0427 | + | 10.9943i | −0.729716 | + | 0.421302i | ||||
\(682\) | −12.6782 | − | 5.48847i | −0.485472 | − | 0.210164i | ||||
\(683\) | −27.7335 | − | 27.7335i | −1.06119 | − | 1.06119i | −0.998002 | − | 0.0631899i | \(-0.979873\pi\) |
−0.0631899 | − | 0.998002i | \(-0.520127\pi\) | |||||||
\(684\) | 8.55266 | + | 1.68877i | 0.327019 | + | 0.0645716i | ||||
\(685\) | −31.8279 | + | 31.8279i | −1.21608 | + | 1.21608i | ||||
\(686\) | −21.8188 | − | 55.1308i | −0.833047 | − | 2.10491i | ||||
\(687\) | −10.7736 | − | 18.6605i | −0.411040 | − | 0.711942i | ||||
\(688\) | −2.73121 | + | 8.10048i | −0.104127 | + | 0.308828i | ||||
\(689\) | 14.5930 | + | 25.2758i | 0.555950 | + | 0.962933i | ||||
\(690\) | 3.81325 | − | 4.80973i | 0.145168 | − | 0.183103i | ||||
\(691\) | 3.45798 | + | 3.45798i | 0.131548 | + | 0.131548i | 0.769815 | − | 0.638267i | \(-0.220348\pi\) |
−0.638267 | + | 0.769815i | \(0.720348\pi\) | |||||||
\(692\) | −17.1657 | − | 32.0356i | −0.652542 | − | 1.21781i | ||||
\(693\) | −6.23243 | + | 1.66997i | −0.236750 | + | 0.0634371i | ||||
\(694\) | −1.97908 | − | 17.1259i | −0.0751250 | − | 0.650092i | ||||
\(695\) | −48.9510 | −1.85682 | ||||||||
\(696\) | −14.1793 | − | 6.67960i | −0.537463 | − | 0.253190i | ||||
\(697\) | 2.00421 | − | 3.47139i | 0.0759148 | − | 0.131488i | ||||
\(698\) | 2.90583 | + | 1.25795i | 0.109987 | + | 0.0476142i | ||||
\(699\) | 24.8075 | − | 6.64715i | 0.938306 | − | 0.251418i | ||||
\(700\) | −48.1314 | + | 11.2747i | −1.81919 | + | 0.426145i | ||||
\(701\) | 33.9769 | + | 9.10408i | 1.28329 | + | 0.343856i | 0.835108 | − | 0.550086i | \(-0.185405\pi\) |
0.448181 | + | 0.893943i | \(0.352072\pi\) | |||||||
\(702\) | 1.47385 | − | 9.97112i | 0.0556268 | − | 0.376336i | ||||
\(703\) | −13.1586 | + | 4.95818i | −0.496284 | + | 0.187001i | ||||
\(704\) | 10.7653 | + | 1.02684i | 0.405733 | + | 0.0387005i | ||||
\(705\) | −37.0893 | + | 21.4135i | −1.39686 | + | 0.806480i | ||||
\(706\) | 0.133533 | + | 0.337406i | 0.00502559 | + | 0.0126984i | ||||
\(707\) | −13.8979 | + | 3.72392i | −0.522683 | + | 0.140052i | ||||
\(708\) | −2.01747 | − | 8.61248i | −0.0758212 | − | 0.323677i | ||||
\(709\) | 18.5963 | − | 4.98286i | 0.698398 | − | 0.187135i | 0.107885 | − | 0.994163i | \(-0.465592\pi\) |
0.590513 | + | 0.807028i | \(0.298925\pi\) | |||||||
\(710\) | −25.8045 | + | 19.1584i | −0.968425 | + | 0.719003i | ||||
\(711\) | 10.6559i | 0.399627i | ||||||||
\(712\) | −30.0784 | + | 20.8861i | −1.12724 | + | 0.782740i | ||||
\(713\) | −4.91562 | + | 8.51410i | −0.184091 | + | 0.318856i | ||||
\(714\) | 5.65259 | − | 4.19674i | 0.211543 | − | 0.157059i | ||||
\(715\) | 21.7344 | + | 21.7344i | 0.812822 | + | 0.812822i | ||||
\(716\) | 0.459867 | − | 14.5026i | 0.0171860 | − | 0.541986i | ||||
\(717\) | 3.95042 | − | 14.7432i | 0.147531 | − | 0.550593i | ||||
\(718\) | −16.2407 | + | 20.4847i | −0.606096 | + | 0.764481i | ||||
\(719\) | −25.3098 | + | 14.6126i | −0.943897 | + | 0.544959i | −0.891180 | − | 0.453650i | \(-0.850122\pi\) |
−0.0527175 | + | 0.998609i | \(0.516788\pi\) | |||||||
\(720\) | −8.43384 | − | 9.57723i | −0.314311 | − | 0.356922i | ||||
\(721\) | − | 18.9251i | − | 0.704806i | ||||||
\(722\) | −12.2468 | + | 23.9169i | −0.455778 | + | 0.890093i | ||||
\(723\) | −4.33750 | − | 4.33750i | −0.161313 | − | 0.161313i | ||||
\(724\) | −21.0664 | − | 13.0700i | −0.782925 | − | 0.485741i | ||||
\(725\) | −27.7180 | − | 7.42701i | −1.02942 | − | 0.275832i | ||||
\(726\) | −12.8864 | + | 1.48916i | −0.478260 | + | 0.0552680i | ||||
\(727\) | 11.7663 | + | 20.3799i | 0.436389 | + | 0.755847i | 0.997408 | − | 0.0719555i | \(-0.0229240\pi\) |
−0.561019 | + | 0.827803i | \(0.689591\pi\) | |||||||
\(728\) | −94.6946 | − | 17.0797i | −3.50962 | − | 0.633017i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 18.8073 | − | 13.9634i | 0.696090 | − | 0.516809i | ||||
\(731\) | −0.576882 | − | 2.15295i | −0.0213368 | − | 0.0796299i | ||||
\(732\) | −11.7398 | − | 12.5087i | −0.433915 | − | 0.462334i | ||||
\(733\) | −29.3406 | + | 29.3406i | −1.08372 | + | 1.08372i | −0.0875604 | + | 0.996159i | \(0.527907\pi\) |
−0.996159 | + | 0.0875604i | \(0.972093\pi\) | |||||||
\(734\) | 0.802668 | − | 5.43034i | 0.0296270 | − | 0.200438i | ||||
\(735\) | 25.1774 | − | 43.6085i | 0.928682 | − | 1.60852i | ||||
\(736\) | 1.60534 | − | 7.52635i | 0.0591735 | − | 0.277425i | ||||
\(737\) | 0.582899 | + | 0.336537i | 0.0214714 | + | 0.0123965i | ||||
\(738\) | 5.05395 | − | 2.00017i | 0.186038 | − | 0.0736274i | ||||
\(739\) | −3.01130 | + | 11.2383i | −0.110773 | + | 0.413409i | −0.998936 | − | 0.0461190i | \(-0.985315\pi\) |
0.888163 | + | 0.459528i | \(0.151981\pi\) | |||||||
\(740\) | 19.7037 | + | 5.95499i | 0.724323 | + | 0.218910i | ||||
\(741\) | 28.3026 | + | 12.8109i | 1.03972 | + | 0.470621i | ||||
\(742\) | −22.1942 | + | 16.4780i | −0.814777 | + | 0.604928i | ||||
\(743\) | −20.1955 | + | 11.6599i | −0.740902 | + | 0.427760i | −0.822397 | − | 0.568914i | \(-0.807364\pi\) |
0.0814949 | + | 0.996674i | \(0.474031\pi\) | |||||||
\(744\) | 15.6065 | + | 13.1998i | 0.572161 | + | 0.483930i | ||||
\(745\) | −4.08563 | − | 2.35884i | −0.149686 | − | 0.0864211i | ||||
\(746\) | −5.54877 | − | 2.40210i | −0.203155 | − | 0.0879471i | ||||
\(747\) | 4.02715 | + | 15.0295i | 0.147346 | + | 0.549901i | ||||
\(748\) | −2.48533 | + | 1.33172i | −0.0908728 | + | 0.0486925i | ||||
\(749\) | 5.18256 | + | 5.18256i | 0.189367 | + | 0.189367i | ||||
\(750\) | −0.630423 | − | 0.499812i | −0.0230198 | − | 0.0182506i | ||||
\(751\) | 18.8491 | − | 32.6476i | 0.687814 | − | 1.19133i | −0.284730 | − | 0.958608i | \(-0.591904\pi\) |
0.972544 | − | 0.232721i | \(-0.0747628\pi\) | |||||||
\(752\) | −29.7401 | + | 44.7075i | −1.08451 | + | 1.63032i | ||||
\(753\) | − | 1.80224i | − | 0.0656773i | ||||||
\(754\) | −43.7688 | − | 34.7008i | −1.59396 | − | 1.26373i | ||||
\(755\) | 23.4830 | + | 6.29224i | 0.854633 | + | 0.228998i | ||||
\(756\) | 9.54161 | + | 0.302559i | 0.347025 | + | 0.0110040i | ||||
\(757\) | −2.15575 | + | 8.04536i | −0.0783520 | + | 0.292414i | −0.993972 | − | 0.109630i | \(-0.965033\pi\) |
0.915620 | + | 0.402044i | \(0.131700\pi\) | |||||||
\(758\) | −13.0710 | + | 30.1936i | −0.474761 | + | 1.09668i | ||||
\(759\) | − | 1.83897i | − | 0.0667502i | ||||||
\(760\) | 35.5245 | − | 16.8852i | 1.28861 | − | 0.612490i | ||||
\(761\) | 15.6209i | 0.566257i | 0.959082 | + | 0.283129i | \(0.0913723\pi\) | ||||
−0.959082 | + | 0.283129i | \(0.908628\pi\) | |||||||
\(762\) | 20.3819 | + | 8.82345i | 0.738357 | + | 0.319640i | ||||
\(763\) | −6.23234 | + | 23.2594i | −0.225626 | + | 0.842047i | ||||
\(764\) | 30.0110 | + | 31.9766i | 1.08576 | + | 1.15687i | ||||
\(765\) | 3.21397 | + | 0.861180i | 0.116201 | + | 0.0311360i | ||||
\(766\) | −4.75749 | + | 6.00072i | −0.171895 | + | 0.216815i | ||||
\(767\) | − | 31.5225i | − | 1.13821i | ||||||
\(768\) | −14.8071 | − | 6.06221i | −0.534304 | − | 0.218751i | ||||
\(769\) | 2.80530 | − | 4.85892i | 0.101162 | − | 0.175217i | −0.811002 | − | 0.585044i | \(-0.801077\pi\) |
0.912164 | + | 0.409826i | \(0.134411\pi\) | |||||||
\(770\) | −18.0859 | + | 22.8120i | −0.651769 | + | 0.822089i | ||||
\(771\) | 4.64326 | + | 4.64326i | 0.167223 | + | 0.167223i | ||||
\(772\) | 7.01773 | − | 23.2201i | 0.252574 | − | 0.835710i | ||||
\(773\) | 3.12709 | + | 11.6705i | 0.112474 | + | 0.419757i | 0.999086 | − | 0.0427569i | \(-0.0136141\pi\) |
−0.886612 | + | 0.462514i | \(0.846947\pi\) | |||||||
\(774\) | 1.20072 | − | 2.77362i | 0.0431589 | − | 0.0996955i | ||||
\(775\) | 32.4084 | + | 18.7110i | 1.16414 | + | 0.672118i | ||||
\(776\) | 39.7049 | − | 3.31715i | 1.42532 | − | 0.119079i | ||||
\(777\) | −13.3353 | + | 7.69911i | −0.478400 | + | 0.276204i | ||||
\(778\) | 20.4607 | + | 27.5585i | 0.733551 | + | 0.988020i | ||||
\(779\) | 1.64834 | + | 16.6716i | 0.0590579 | + | 0.597322i | ||||
\(780\) | −21.4788 | − | 40.0849i | −0.769063 | − | 1.43527i | ||||
\(781\) | −2.49218 | + | 9.30095i | −0.0891773 | + | 0.332814i | ||||
\(782\) | 0.738388 | + | 1.86573i | 0.0264047 | + | 0.0667182i | ||||
\(783\) | 4.79911 | + | 2.77077i | 0.171506 | + | 0.0990191i | ||||
\(784\) | 3.99986 | − | 63.0071i | 0.142852 | − | 2.25025i | ||||
\(785\) | −22.3553 | + | 38.7205i | −0.797894 | + | 1.38199i | ||||
\(786\) | −12.7103 | − | 1.87873i | −0.453362 | − | 0.0670122i | ||||
\(787\) | 26.7768 | − | 26.7768i | 0.954490 | − | 0.954490i | −0.0445188 | − | 0.999009i | \(-0.514175\pi\) |
0.999009 | + | 0.0445188i | \(0.0141755\pi\) | |||||||
\(788\) | −0.568540 | − | 0.0180281i | −0.0202534 | − | 0.000642223i | ||||
\(789\) | −3.21263 | − | 11.9897i | −0.114373 | − | 0.426844i | ||||
\(790\) | 28.6596 | + | 38.6016i | 1.01966 | + | 1.37338i | ||||
\(791\) | 54.2027i | 1.92722i | ||||||||
\(792\) | −3.76268 | − | 0.678660i | −0.133701 | − | 0.0241151i | ||||
\(793\) | −30.5668 | − | 52.9432i | −1.08546 | − | 1.88007i | ||||
\(794\) | 1.22532 | + | 10.6033i | 0.0434850 | + | 0.376296i | ||||
\(795\) | −12.6193 | − | 3.38133i | −0.447560 | − | 0.119923i | ||||
\(796\) | −1.52318 | − | 6.50238i | −0.0539876 | − | 0.230471i | ||||
\(797\) | 30.0880 | + | 30.0880i | 1.06577 | + | 1.06577i | 0.997679 | + | 0.0680934i | \(0.0216916\pi\) |
0.0680934 | + | 0.997679i | \(0.478308\pi\) | |||||||
\(798\) | −8.97598 | + | 28.0215i | −0.317746 | + | 0.991950i | ||||
\(799\) | − | 14.0004i | − | 0.495298i | ||||||
\(800\) | −28.6485 | − | 6.11061i | −1.01288 | − | 0.216043i | ||||
\(801\) | 11.2122 | − | 6.47336i | 0.396163 | − | 0.228725i | ||||
\(802\) | −24.9852 | − | 19.8088i | −0.882259 | − | 0.699473i | ||||
\(803\) | 1.81640 | − | 6.77889i | 0.0640993 | − | 0.239222i | ||||
\(804\) | −0.681493 | − | 0.726128i | −0.0240344 | − | 0.0256086i | ||||
\(805\) | 14.6488 | + | 14.6488i | 0.516304 | + | 0.516304i | ||||
\(806\) | 43.4213 | + | 58.4841i | 1.52945 | + | 2.06001i | ||||
\(807\) | 5.14817 | − | 8.91689i | 0.181224 | − | 0.313889i | ||||
\(808\) | −8.39049 | − | 1.51336i | −0.295176 | − | 0.0532399i | ||||
\(809\) | − | 5.09036i | − | 0.178967i | −0.995988 | − | 0.0894837i | \(-0.971478\pi\) | ||
0.995988 | − | 0.0894837i | \(-0.0285217\pi\) | |||||||
\(810\) | 2.68955 | + | 3.62256i | 0.0945013 | + | 0.127284i | ||||
\(811\) | −27.5483 | + | 7.38156i | −0.967353 | + | 0.259202i | −0.707710 | − | 0.706503i | \(-0.750272\pi\) |
−0.259643 | + | 0.965705i | \(0.583605\pi\) | |||||||
\(812\) | 27.8896 | − | 44.9529i | 0.978733 | − | 1.57754i | ||||
\(813\) | −16.8714 | + | 4.52069i | −0.591707 | + | 0.158547i | ||||
\(814\) | 5.73432 | − | 2.26944i | 0.200988 | − | 0.0795439i | ||||
\(815\) | −56.8843 | + | 32.8422i | −1.99257 | + | 1.15041i | ||||
\(816\) | 4.08993 | − | 0.822266i | 0.143176 | − | 0.0287851i | ||||
\(817\) | 7.20323 | + | 5.90701i | 0.252009 | + | 0.206660i | ||||
\(818\) | 11.0945 | + | 1.63989i | 0.387909 | + | 0.0573374i | ||||
\(819\) | 32.8606 | + | 8.80498i | 1.14824 | + | 0.307671i | ||||
\(820\) | 12.9286 | − | 20.8386i | 0.451488 | − | 0.727716i | ||||
\(821\) | −49.5449 | + | 13.2755i | −1.72913 | + | 0.463319i | −0.979982 | − | 0.199084i | \(-0.936203\pi\) |
−0.749148 | + | 0.662403i | \(0.769537\pi\) | |||||||
\(822\) | 7.92673 | − | 18.3105i | 0.276476 | − | 0.638651i | ||||
\(823\) | −2.59457 | + | 4.49392i | −0.0904409 | + | 0.156648i | −0.907697 | − | 0.419627i | \(-0.862161\pi\) |
0.817256 | + | 0.576275i | \(0.195494\pi\) | |||||||
\(824\) | 4.77912 | − | 10.1450i | 0.166489 | − | 0.353417i | ||||
\(825\) | −6.99990 | −0.243705 | ||||||||
\(826\) | 29.6581 | − | 3.42730i | 1.03194 | − | 0.119251i | ||||
\(827\) | 12.7622 | − | 3.41962i | 0.443785 | − | 0.118912i | −0.0300049 | − | 0.999550i | \(-0.509552\pi\) |
0.473790 | + | 0.880638i | \(0.342886\pi\) | |||||||
\(828\) | −0.787141 | + | 2.60447i | −0.0273550 | + | 0.0905117i | ||||
\(829\) | 9.59422 | + | 9.59422i | 0.333221 | + | 0.333221i | 0.853808 | − | 0.520587i | \(-0.174287\pi\) |
−0.520587 | + | 0.853808i | \(0.674287\pi\) | |||||||
\(830\) | 55.0113 | + | 43.6141i | 1.90947 | + | 1.51387i | ||||
\(831\) | −11.5724 | − | 20.0440i | −0.401443 | − | 0.695319i | ||||
\(832\) | −46.4489 | − | 33.0689i | −1.61033 | − | 1.14646i | ||||
\(833\) | 8.23062 | + | 14.2558i | 0.285174 | + | 0.493936i | ||||
\(834\) | 20.1763 | − | 7.98507i | 0.698649 | − | 0.276500i | ||||
\(835\) | 19.2848 | − | 19.2848i | 0.667378 | − | 0.667378i | ||||
\(836\) | 5.19732 | − | 10.5765i | 0.179753 | − | 0.365795i | ||||
\(837\) | −5.11003 | − | 5.11003i | −0.176628 | − | 0.176628i | ||||
\(838\) | 12.2720 | − | 28.3478i | 0.423928 | − | 0.979259i | ||||
\(839\) | −29.9956 | + | 17.3180i | −1.03556 | + | 0.597883i | −0.918574 | − | 0.395250i | \(-0.870658\pi\) |
−0.116991 | + | 0.993133i | \(0.537325\pi\) | |||||||
\(840\) | 35.3788 | − | 24.5666i | 1.22068 | − | 0.847630i | ||||
\(841\) | 1.47966 | − | 0.854281i | 0.0510227 | − | 0.0294580i | ||||
\(842\) | −1.46809 | − | 12.7040i | −0.0505936 | − | 0.437810i | ||||
\(843\) | 0.430287 | − | 0.430287i | 0.0148199 | − | 0.0148199i | ||||
\(844\) | −14.1924 | + | 7.60475i | −0.488524 | + | 0.261766i | ||||
\(845\) | −31.2104 | − | 116.479i | −1.07367 | − | 4.00699i | ||||
\(846\) | 11.7942 | − | 14.8762i | 0.405492 | − | 0.511455i | ||||
\(847\) | − | 43.7832i | − | 1.50441i | ||||||
\(848\) | −16.0586 | + | 3.22854i | −0.551456 | + | 0.110868i | ||||
\(849\) | −11.1201 | − | 6.42016i | −0.381639 | − | 0.220339i | ||||
\(850\) | 7.10176 | − | 2.81062i | 0.243588 | − | 0.0964036i | ||||
\(851\) | −1.13587 | − | 4.23911i | −0.0389370 | − | 0.145315i | ||||
\(852\) | 7.51073 | − | 12.1059i | 0.257313 | − | 0.414742i | ||||
\(853\) | −7.52360 | + | 28.0785i | −0.257603 | + | 0.961388i | 0.709020 | + | 0.705188i | \(0.249137\pi\) |
−0.966624 | + | 0.256201i | \(0.917529\pi\) | |||||||
\(854\) | 46.4884 | − | 34.5151i | 1.59080 | − | 1.18108i | ||||
\(855\) | −13.0132 | + | 4.90342i | −0.445043 | + | 0.167694i | ||||
\(856\) | 1.46942 | + | 4.08691i | 0.0502238 | + | 0.139688i | ||||
\(857\) | −9.87878 | − | 17.1105i | −0.337453 | − | 0.584485i | 0.646500 | − | 0.762914i | \(-0.276232\pi\) |
−0.983953 | + | 0.178429i | \(0.942899\pi\) | |||||||
\(858\) | −12.5038 | − | 5.41296i | −0.426871 | − | 0.184795i | ||||
\(859\) | −2.45046 | − | 9.14524i | −0.0836086 | − | 0.312031i | 0.911438 | − | 0.411436i | \(-0.134973\pi\) |
−0.995047 | + | 0.0994049i | \(0.968306\pi\) | |||||||
\(860\) | −3.11012 | − | 13.2770i | −0.106054 | − | 0.452741i | ||||
\(861\) | 4.74809 | + | 17.7201i | 0.161815 | + | 0.603900i | ||||
\(862\) | 44.9588 | + | 6.64544i | 1.53130 | + | 0.226345i | ||||
\(863\) | 53.5894 | 1.82420 | 0.912102 | − | 0.409964i | \(-0.134459\pi\) | ||||
0.912102 | + | 0.409964i | \(0.134459\pi\) | |||||||
\(864\) | 5.03848 | + | 2.57172i | 0.171412 | + | 0.0874917i | ||||
\(865\) | 50.2089 | + | 28.9881i | 1.70715 | + | 0.985625i | ||||
\(866\) | −3.18919 | + | 21.5760i | −0.108373 | + | 0.733184i | ||||
\(867\) | 11.2517 | − | 11.2517i | 0.382127 | − | 0.382127i | ||||
\(868\) | −50.3040 | + | 47.2118i | −1.70743 | + | 1.60247i | ||||
\(869\) | 13.9135 | + | 3.72812i | 0.471984 | + | 0.126468i | ||||
\(870\) | 24.8372 | − | 2.87020i | 0.842059 | − | 0.0973088i | ||||
\(871\) | −1.77440 | − | 3.07335i | −0.0601232 | − | 0.104136i | ||||
\(872\) | −9.21458 | + | 10.8946i | −0.312045 | + | 0.368938i | ||||
\(873\) | −14.0867 | −0.476763 | ||||||||
\(874\) | −7.05215 | − | 4.53811i | −0.238543 | − | 0.153504i | ||||
\(875\) | 1.92006 | − | 1.92006i | 0.0649099 | − | 0.0649099i | ||||
\(876\) | −5.47411 | + | 8.82327i | −0.184953 | + | 0.298111i | ||||
\(877\) | −5.55299 | + | 20.7240i | −0.187511 | + | 0.699801i | 0.806568 | + | 0.591142i | \(0.201323\pi\) |
−0.994079 | + | 0.108660i | \(0.965344\pi\) | |||||||
\(878\) | 38.2704 | + | 30.3416i | 1.29156 | + | 1.02398i | ||||
\(879\) | −5.06749 | + | 2.92572i | −0.170922 | + | 0.0986820i | ||||
\(880\) | −15.4558 | + | 7.66143i | −0.521015 | + | 0.258267i | ||||
\(881\) | −27.3838 | −0.922584 | −0.461292 | − | 0.887248i | \(-0.652614\pi\) | ||||
−0.461292 | + | 0.887248i | \(0.652614\pi\) | |||||||
\(882\) | −3.26387 | + | 22.0813i | −0.109900 | + | 0.743516i | ||||
\(883\) | −16.4397 | + | 4.40501i | −0.553241 | + | 0.148240i | −0.524599 | − | 0.851349i | \(-0.675785\pi\) |
−0.0286417 | + | 0.999590i | \(0.509118\pi\) | |||||||
\(884\) | 14.8591 | + | 0.471174i | 0.499767 | + | 0.0158473i | ||||
\(885\) | 9.97749 | + | 9.97749i | 0.335390 | + | 0.335390i | ||||
\(886\) | 19.0862 | − | 14.1705i | 0.641213 | − | 0.476066i | ||||
\(887\) | 26.0878 | + | 15.0618i | 0.875943 | + | 0.505726i | 0.869319 | − | 0.494252i | \(-0.164558\pi\) |
0.00662457 | + | 0.999978i | \(0.497891\pi\) | |||||||
\(888\) | −9.09275 | + | 0.759655i | −0.305133 | + | 0.0254923i | ||||
\(889\) | −37.4808 | + | 64.9187i | −1.25707 | + | 2.17730i | ||||
\(890\) | 23.2063 | − | 53.6059i | 0.777879 | − | 1.79687i | ||||
\(891\) | 1.30571 | + | 0.349864i | 0.0437430 | + | 0.0117209i | ||||
\(892\) | 17.4955 | + | 5.28759i | 0.585791 | + | 0.177042i | ||||
\(893\) | 34.1008 | + | 47.5498i | 1.14114 | + | 1.59119i | ||||
\(894\) | 2.06877 | + | 0.305788i | 0.0691900 | + | 0.0102271i | ||||
\(895\) | 11.5729 | + | 20.0448i | 0.386838 | + | 0.670023i | ||||
\(896\) | 26.0628 | − | 47.2971i | 0.870697 | − | 1.58009i | ||||
\(897\) | −4.84800 | + | 8.39698i | −0.161870 | + | 0.280367i | ||||
\(898\) | 19.5045 | − | 7.71919i | 0.650874 | − | 0.257593i | ||||
\(899\) | −38.6822 | + | 10.3649i | −1.29013 | + | 0.345688i | ||||
\(900\) | 9.91375 | + | 2.99620i | 0.330458 | + | 0.0998733i | ||||
\(901\) | 3.01994 | − | 3.01994i | 0.100609 | − | 0.100609i | ||||
\(902\) | −0.843453 | − | 7.29879i | −0.0280839 | − | 0.243023i | ||||
\(903\) | 8.83429 | + | 5.10048i | 0.293987 | + | 0.169733i | ||||
\(904\) | −13.6877 | + | 29.0559i | −0.455247 | + | 0.966385i | ||||
\(905\) | 39.5466 | 1.31457 | ||||||||
\(906\) | −10.7055 | + | 1.23713i | −0.355665 | + | 0.0411009i | ||||
\(907\) | −5.13028 | + | 19.1465i | −0.170348 | + | 0.635748i | 0.826949 | + | 0.562277i | \(0.190074\pi\) |
−0.997297 | + | 0.0734711i | \(0.976592\pi\) | |||||||
\(908\) | 1.39379 | − | 43.9550i | 0.0462545 | − | 1.45870i | ||||
\(909\) | 2.91164 | + | 0.780172i | 0.0965730 | + | 0.0258767i | ||||
\(910\) | 142.721 | − | 56.4839i | 4.73115 | − | 1.87242i | ||||
\(911\) | −8.49085 | −0.281314 | −0.140657 | − | 0.990058i | \(-0.544922\pi\) | ||||
−0.140657 | + | 0.990058i | \(0.544922\pi\) | |||||||
\(912\) | −11.8879 | + | 12.7545i | −0.393648 | + | 0.422344i | ||||
\(913\) | 21.0332 | 0.696096 | ||||||||
\(914\) | −9.02121 | + | 3.57027i | −0.298395 | + | 0.118094i | ||||
\(915\) | 26.4325 | + | 7.08258i | 0.873833 | + | 0.234143i | ||||
\(916\) | 43.0729 | + | 1.36582i | 1.42317 | + | 0.0451278i | ||||
\(917\) | 11.2238 | − | 41.8879i | 0.370643 | − | 1.38326i | ||||
\(918\) | −1.46519 | + | 0.169318i | −0.0483585 | + | 0.00558834i | ||||
\(919\) | 16.3860 | 0.540526 | 0.270263 | − | 0.962787i | \(-0.412889\pi\) | ||||
0.270263 | + | 0.962787i | \(0.412889\pi\) | |||||||
\(920\) | 4.15341 | + | 11.5519i | 0.136934 | + | 0.380855i | ||||
\(921\) | −5.08246 | − | 2.93436i | −0.167473 | − | 0.0966904i | ||||
\(922\) | −1.37972 | − | 11.9394i | −0.0454388 | − | 0.393203i | ||||
\(923\) | 35.8994 | − | 35.8994i | 1.18164 | − | 1.18164i | ||||
\(924\) | 3.73333 | − | 12.3527i | 0.122817 | − | 0.406375i | ||||
\(925\) | −16.1359 | + | 4.32360i | −0.530545 | + | 0.142159i | ||||
\(926\) | 28.4548 | − | 11.2614i | 0.935082 | − | 0.370072i | ||||
\(927\) | −1.98243 | + | 3.43367i | −0.0651115 | + | 0.112776i | ||||
\(928\) | 26.3024 | − | 17.0545i | 0.863419 | − | 0.559843i | ||||
\(929\) | −13.3963 | − | 23.2031i | −0.439518 | − | 0.761268i | 0.558134 | − | 0.829751i | \(-0.311517\pi\) |
−0.997652 | + | 0.0684830i | \(0.978184\pi\) | |||||||
\(930\) | −32.2551 | − | 4.76767i | −1.05769 | − | 0.156338i | ||||
\(931\) | −62.6768 | − | 28.3701i | −2.05415 | − | 0.929792i | ||||
\(932\) | −14.8601 | + | 49.1688i | −0.486759 | + | 1.61058i | ||||
\(933\) | 15.8242 | + | 4.24009i | 0.518062 | + | 0.138814i | ||||
\(934\) | −1.37539 | + | 3.17711i | −0.0450043 | + | 0.103958i | ||||
\(935\) | 2.24891 | − | 3.89522i | 0.0735471 | − | 0.127387i | ||||
\(936\) | 15.3918 | + | 13.0183i | 0.503096 | + | 0.425515i | ||||
\(937\) | −32.1987 | − | 18.5899i | −1.05188 | − | 0.607306i | −0.128708 | − | 0.991682i | \(-0.541083\pi\) |
−0.923176 | + | 0.384377i | \(0.874416\pi\) | |||||||
\(938\) | 2.69865 | − | 2.00360i | 0.0881140 | − | 0.0654199i | ||||
\(939\) | −21.0417 | − | 21.0417i | −0.686668 | − | 0.686668i | ||||
\(940\) | 2.71467 | − | 85.6110i | 0.0885429 | − | 2.79232i | ||||
\(941\) | 14.1639 | − | 3.79521i | 0.461730 | − | 0.123720i | −0.0204526 | − | 0.999791i | \(-0.506511\pi\) |
0.482183 | + | 0.876071i | \(0.339844\pi\) | |||||||
\(942\) | 2.89803 | − | 19.6062i | 0.0944228 | − | 0.638805i | ||||
\(943\) | −5.22857 | −0.170266 | ||||||||
\(944\) | 16.7640 | + | 5.65227i | 0.545622 | + | 0.183966i | ||||
\(945\) | −13.1880 | + | 7.61409i | −0.429005 | + | 0.247686i | ||||
\(946\) | −3.20145 | − | 2.53818i | −0.104088 | − | 0.0825233i | ||||
\(947\) | −7.34054 | + | 27.3953i | −0.238536 | + | 0.890227i | 0.737987 | + | 0.674814i | \(0.235776\pi\) |
−0.976523 | + | 0.215413i | \(0.930890\pi\) | |||||||
\(948\) | −18.1096 | − | 11.2355i | −0.588171 | − | 0.364912i | ||||
\(949\) | −26.1649 | + | 26.1649i | −0.849347 | + | 0.849347i | ||||
\(950\) | −17.2740 | + | 26.8435i | −0.560443 | + | 0.870920i | ||||
\(951\) | −4.10598 | −0.133145 | ||||||||
\(952\) | 1.17226 | + | 14.0315i | 0.0379933 | + | 0.454764i | ||||
\(953\) | 1.83721 | + | 3.18213i | 0.0595129 | + | 0.103079i | 0.894247 | − | 0.447574i | \(-0.147712\pi\) |
−0.834734 | + | 0.550653i | \(0.814379\pi\) | |||||||
\(954\) | 5.75291 | − | 0.664810i | 0.186257 | − | 0.0215240i | ||||
\(955\) | −67.5710 | − | 18.1056i | −2.18655 | − | 0.585883i | ||||
\(956\) | 20.8905 | + | 22.2587i | 0.675647 | + | 0.719899i | ||||
\(957\) | 5.29686 | − | 5.29686i | 0.171223 | − | 0.171223i | ||||
\(958\) | −3.11384 | + | 21.0663i | −0.100604 | + | 0.680621i | ||||
\(959\) | 58.3211 | + | 33.6717i | 1.88329 | + | 1.08732i | ||||
\(960\) | 25.1690 | − | 4.23505i | 0.812325 | − | 0.136686i | ||||
\(961\) | 21.2247 | 0.684669 | ||||||||
\(962\) | −32.1666 | − | 4.75459i | −1.03709 | − | 0.153294i | ||||
\(963\) | −0.397416 | − | 1.48318i | −0.0128066 | − | 0.0477947i | ||||
\(964\) | 11.9450 | − | 2.79810i | 0.384721 | − | 0.0901207i | ||||
\(965\) | 10.0149 | + | 37.3763i | 0.322393 | + | 1.20319i | ||||
\(966\) | −8.42743 | − | 3.64829i | −0.271148 | − | 0.117382i | ||||
\(967\) | −7.14430 | − | 12.3743i | −0.229745 | − | 0.397930i | 0.727987 | − | 0.685590i | \(-0.240456\pi\) |
−0.957732 | + | 0.287660i | \(0.907123\pi\) | |||||||
\(968\) | 11.0565 | − | 23.4705i | 0.355370 | − | 0.754369i | ||||
\(969\) | 0.738848 | − | 4.48563i | 0.0237352 | − | 0.144099i | ||||
\(970\) | −51.0299 | + | 37.8870i | −1.63847 | + | 1.21648i | ||||
\(971\) | −12.9836 | + | 48.4554i | −0.416663 | + | 1.55501i | 0.364818 | + | 0.931079i | \(0.381131\pi\) |
−0.781481 | + | 0.623929i | \(0.785535\pi\) | |||||||
\(972\) | −1.69949 | − | 1.05439i | −0.0545111 | − | 0.0338196i | ||||
\(973\) | 18.9553 | + | 70.7421i | 0.607679 | + | 2.26789i | ||||
\(974\) | 37.4380 | − | 14.8166i | 1.19959 | − | 0.474756i | ||||
\(975\) | 31.9625 | + | 18.4536i | 1.02362 | + | 0.590987i | ||||
\(976\) | 33.6367 | − | 6.76254i | 1.07668 | − | 0.216464i | ||||
\(977\) | − | 8.13639i | − | 0.260306i | −0.991494 | − | 0.130153i | \(-0.958453\pi\) | ||
0.991494 | − | 0.130153i | \(-0.0415469\pi\) | |||||||
\(978\) | 18.0889 | − | 22.8158i | 0.578418 | − | 0.729570i | ||||
\(979\) | −4.52960 | − | 16.9047i | −0.144767 | − | 0.540276i | ||||
\(980\) | 47.5653 | + | 88.7691i | 1.51942 | + | 2.83563i | ||||
\(981\) | 3.56722 | − | 3.56722i | 0.113893 | − | 0.113893i | ||||
\(982\) | −1.82077 | − | 15.7560i | −0.0581031 | − | 0.502793i | ||||
\(983\) | −10.9430 | + | 6.31792i | −0.349026 | + | 0.201510i | −0.664256 | − | 0.747505i | \(-0.731252\pi\) |
0.315230 | + | 0.949015i | \(0.397918\pi\) | |||||||
\(984\) | −1.92958 | + | 10.6981i | −0.0615126 | + | 0.341043i | ||||
\(985\) | 0.785811 | − | 0.453688i | 0.0250380 | − | 0.0144557i | ||||
\(986\) | −3.24712 | + | 7.50075i | −0.103409 | + | 0.238872i | ||||
\(987\) | 45.3080 | + | 45.3080i | 1.44217 | + | 1.44217i | ||||
\(988\) | −51.6140 | + | 34.5922i | −1.64206 | + | 1.10052i | ||||
\(989\) | −2.05583 | + | 2.05583i | −0.0653715 | + | 0.0653715i | ||||
\(990\) | 5.67100 | − | 2.24438i | 0.180236 | − | 0.0713310i | ||||
\(991\) | −16.8831 | − | 29.2425i | −0.536311 | − | 0.928917i | −0.999099 | − | 0.0424483i | \(-0.986484\pi\) |
0.462788 | − | 0.886469i | \(-0.346849\pi\) | |||||||
\(992\) | −38.8883 | + | 12.6052i | −1.23471 | + | 0.400215i | ||||
\(993\) | 3.04441 | + | 5.27307i | 0.0966114 | + | 0.167336i | ||||
\(994\) | 37.6793 | + | 29.8729i | 1.19511 | + | 0.947511i | ||||
\(995\) | 7.53295 | + | 7.53295i | 0.238811 | + | 0.238811i | ||||
\(996\) | −29.7887 | − | 9.00292i | −0.943890 | − | 0.285269i | ||||
\(997\) | −18.8586 | + | 5.05314i | −0.597258 | + | 0.160035i | −0.544768 | − | 0.838587i | \(-0.683382\pi\) |
−0.0524896 | + | 0.998621i | \(0.516716\pi\) | |||||||
\(998\) | 26.3458 | − | 3.04454i | 0.833961 | − | 0.0963731i | ||||
\(999\) | 3.22597 | 0.102065 |
(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 | 912.2.bu.a.715.50 | yes | 320 | |
16.3 | odd | 4 | inner | 912.2.bu.a.259.23 | ✓ | 320 | |
19.8 | odd | 6 | inner | 912.2.bu.a.331.23 | yes | 320 | |
304.179 | even | 12 | inner | 912.2.bu.a.787.50 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
912.2.bu.a.259.23 | ✓ | 320 | 16.3 | odd | 4 | inner | |
912.2.bu.a.331.23 | yes | 320 | 19.8 | odd | 6 | inner | |
912.2.bu.a.715.50 | yes | 320 | 1.1 | even | 1 | trivial | |
912.2.bu.a.787.50 | yes | 320 | 304.179 | even | 12 | inner |