Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.24 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.a.625.24 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.73040 | + | 1.17977i | 1.22358 | + | 0.834223i | 0.990403 | − | 0.138211i | \(-0.0441352\pi\) |
0.233178 | + | 0.972434i | \(0.425088\pi\) | |||||||
\(3\) | −0.623413 | − | 0.578442i | −0.359927 | − | 0.333964i | 0.479394 | − | 0.877600i | \(-0.340857\pi\) |
−0.839321 | + | 0.543636i | \(0.817047\pi\) | |||||||
\(4\) | 0.871761 | + | 2.22121i | 0.435880 | + | 1.11061i | ||||
\(5\) | 3.60339 | − | 1.11150i | 1.61148 | − | 0.497077i | 0.647283 | − | 0.762250i | \(-0.275905\pi\) |
0.964201 | + | 0.265173i | \(0.0854291\pi\) | |||||||
\(6\) | −0.396327 | − | 1.73642i | −0.161800 | − | 0.708891i | ||||
\(7\) | −2.15272 | − | 1.53811i | −0.813653 | − | 0.581351i | ||||
\(8\) | −0.179960 | + | 0.788456i | −0.0636255 | + | 0.278761i | ||||
\(9\) | −0.170143 | − | 2.27039i | −0.0567142 | − | 0.756798i | ||||
\(10\) | 7.54663 | + | 2.32783i | 2.38645 | + | 0.736123i | ||||
\(11\) | −0.324474 | + | 4.32981i | −0.0978327 | + | 1.30549i | 0.704968 | + | 0.709239i | \(0.250961\pi\) |
−0.802801 | + | 0.596248i | \(0.796658\pi\) | |||||||
\(12\) | 0.741375 | − | 1.88899i | 0.214017 | − | 0.545305i | ||||
\(13\) | 0.900969 | − | 0.433884i | 0.249884 | − | 0.120338i | ||||
\(14\) | −1.91046 | − | 5.20127i | −0.510593 | − | 1.39010i | ||||
\(15\) | −2.88933 | − | 1.39143i | −0.746023 | − | 0.359266i | ||||
\(16\) | 2.25675 | − | 2.09396i | 0.564188 | − | 0.523490i | ||||
\(17\) | 4.97454 | − | 0.749792i | 1.20650 | − | 0.181851i | 0.485158 | − | 0.874426i | \(-0.338762\pi\) |
0.721346 | + | 0.692575i | \(0.243524\pi\) | |||||||
\(18\) | 2.38413 | − | 4.12943i | 0.561944 | − | 0.973316i | ||||
\(19\) | −0.0277917 | − | 0.0481367i | −0.00637586 | − | 0.0110433i | 0.862820 | − | 0.505511i | \(-0.168696\pi\) |
−0.869196 | + | 0.494468i | \(0.835363\pi\) | |||||||
\(20\) | 5.61016 | + | 7.03492i | 1.25447 | + | 1.57306i | ||||
\(21\) | 0.452326 | + | 2.20410i | 0.0987056 | + | 0.480975i | ||||
\(22\) | −5.66965 | + | 7.10952i | −1.20877 | + | 1.51575i | ||||
\(23\) | −5.21097 | − | 0.785427i | −1.08656 | − | 0.163773i | −0.418749 | − | 0.908102i | \(-0.637531\pi\) |
−0.667813 | + | 0.744329i | \(0.732769\pi\) | |||||||
\(24\) | 0.568266 | − | 0.387437i | 0.115997 | − | 0.0790853i | ||||
\(25\) | 7.61778 | − | 5.19371i | 1.52356 | − | 1.03874i | ||||
\(26\) | 2.07092 | + | 0.312141i | 0.406142 | + | 0.0612160i | ||||
\(27\) | −2.79794 | + | 3.50850i | −0.538463 | + | 0.675211i | ||||
\(28\) | 1.53981 | − | 6.12251i | 0.290997 | − | 1.15705i | ||||
\(29\) | 0.928954 | + | 1.16487i | 0.172502 | + | 0.216311i | 0.860566 | − | 0.509340i | \(-0.170110\pi\) |
−0.688063 | + | 0.725651i | \(0.741539\pi\) | |||||||
\(30\) | −3.35815 | − | 5.81649i | −0.613111 | − | 1.06194i | ||||
\(31\) | −4.14033 | + | 7.17127i | −0.743626 | + | 1.28800i | 0.207208 | + | 0.978297i | \(0.433562\pi\) |
−0.950834 | + | 0.309701i | \(0.899771\pi\) | |||||||
\(32\) | 7.97488 | − | 1.20202i | 1.40977 | − | 0.212489i | ||||
\(33\) | 2.70683 | − | 2.51157i | 0.471198 | − | 0.437208i | ||||
\(34\) | 9.49256 | + | 4.57137i | 1.62796 | + | 0.783984i | ||||
\(35\) | −9.46670 | − | 3.14966i | −1.60016 | − | 0.532390i | ||||
\(36\) | 4.89470 | − | 2.35716i | 0.815783 | − | 0.392861i | ||||
\(37\) | −2.30100 | + | 5.86286i | −0.378283 | + | 0.963849i | 0.607272 | + | 0.794494i | \(0.292264\pi\) |
−0.985555 | + | 0.169355i | \(0.945832\pi\) | |||||||
\(38\) | 0.00869927 | − | 0.116084i | 0.00141121 | − | 0.0188313i | ||||
\(39\) | −0.812652 | − | 0.250670i | −0.130128 | − | 0.0401393i | ||||
\(40\) | 0.227902 | + | 3.04114i | 0.0360344 | + | 0.480846i | ||||
\(41\) | −0.0523555 | + | 0.229384i | −0.00817655 | + | 0.0358238i | −0.978852 | − | 0.204571i | \(-0.934420\pi\) |
0.970675 | + | 0.240395i | \(0.0772771\pi\) | |||||||
\(42\) | −1.81763 | + | 4.34763i | −0.280466 | + | 0.670854i | ||||
\(43\) | −1.73287 | − | 7.59219i | −0.264260 | − | 1.15780i | −0.916579 | − | 0.399854i | \(-0.869061\pi\) |
0.652319 | − | 0.757945i | \(-0.273796\pi\) | |||||||
\(44\) | −9.90028 | + | 3.05383i | −1.49252 | + | 0.460383i | ||||
\(45\) | −3.13663 | − | 7.99200i | −0.467581 | − | 1.19138i | ||||
\(46\) | −8.09046 | − | 7.50685i | −1.19287 | − | 1.10683i | ||||
\(47\) | 5.90380 | + | 4.02514i | 0.861157 | + | 0.587127i | 0.911359 | − | 0.411612i | \(-0.135034\pi\) |
−0.0502019 | + | 0.998739i | \(0.515986\pi\) | |||||||
\(48\) | −2.61812 | −0.377893 | ||||||||
\(49\) | 2.26843 | + | 6.62225i | 0.324061 | + | 0.946036i | ||||
\(50\) | 19.3092 | 2.73074 | ||||||||
\(51\) | −3.53490 | − | 2.41006i | −0.494986 | − | 0.337476i | ||||
\(52\) | 1.74918 | + | 1.62300i | 0.242567 | + | 0.225069i | ||||
\(53\) | −0.819254 | − | 2.08742i | −0.112533 | − | 0.286730i | 0.863501 | − | 0.504347i | \(-0.168267\pi\) |
−0.976034 | + | 0.217617i | \(0.930172\pi\) | |||||||
\(54\) | −8.98078 | + | 2.77020i | −1.22213 | + | 0.376977i | ||||
\(55\) | 3.64337 | + | 15.9626i | 0.491272 | + | 2.15240i | ||||
\(56\) | 1.60014 | − | 1.42053i | 0.213827 | − | 0.189826i | ||||
\(57\) | −0.0105186 | + | 0.0460849i | −0.00139322 | + | 0.00610409i | ||||
\(58\) | 0.233186 | + | 3.11165i | 0.0306188 | + | 0.408580i | ||||
\(59\) | −2.02006 | − | 0.623105i | −0.262989 | − | 0.0811214i | 0.160457 | − | 0.987043i | \(-0.448703\pi\) |
−0.423446 | + | 0.905922i | \(0.639180\pi\) | |||||||
\(60\) | 0.571850 | − | 7.63081i | 0.0738256 | − | 0.985134i | ||||
\(61\) | −5.27791 | + | 13.4479i | −0.675767 | + | 1.72183i | 0.0161692 | + | 0.999869i | \(0.494853\pi\) |
−0.691937 | + | 0.721958i | \(0.743242\pi\) | |||||||
\(62\) | −15.6249 | + | 7.52455i | −1.98436 | + | 0.955619i | ||||
\(63\) | −3.12585 | + | 5.14923i | −0.393820 | + | 0.648742i | ||||
\(64\) | 9.67049 | + | 4.65706i | 1.20881 | + | 0.582133i | ||||
\(65\) | 2.76428 | − | 2.56488i | 0.342867 | − | 0.318134i | ||||
\(66\) | 7.64698 | − | 1.15260i | 0.941278 | − | 0.141875i | ||||
\(67\) | 1.79800 | − | 3.11423i | 0.219661 | − | 0.380464i | −0.735043 | − | 0.678020i | \(-0.762838\pi\) |
0.954704 | + | 0.297556i | \(0.0961716\pi\) | |||||||
\(68\) | 6.00206 | + | 10.3959i | 0.727856 | + | 1.26068i | ||||
\(69\) | 2.79426 | + | 3.50389i | 0.336389 | + | 0.421819i | ||||
\(70\) | −12.6653 | − | 16.6187i | −1.51380 | − | 1.98632i | ||||
\(71\) | −5.70107 | + | 7.14891i | −0.676592 | + | 0.848420i | −0.995035 | − | 0.0995220i | \(-0.968269\pi\) |
0.318443 | + | 0.947942i | \(0.396840\pi\) | |||||||
\(72\) | 1.82073 | + | 0.274430i | 0.214575 | + | 0.0323419i | ||||
\(73\) | −10.9284 | + | 7.45084i | −1.27907 | + | 0.872055i | −0.996199 | − | 0.0871032i | \(-0.972239\pi\) |
−0.282870 | + | 0.959158i | \(0.591287\pi\) | |||||||
\(74\) | −10.8985 | + | 7.43047i | −1.26692 | + | 0.863774i | ||||
\(75\) | −7.75328 | − | 1.16862i | −0.895272 | − | 0.134941i | ||||
\(76\) | 0.0826939 | − | 0.103695i | 0.00948564 | − | 0.0118946i | ||||
\(77\) | 7.35823 | − | 8.82180i | 0.838548 | − | 1.00534i | ||||
\(78\) | −1.11048 | − | 1.39250i | −0.125738 | − | 0.157670i | ||||
\(79\) | −5.44503 | − | 9.43107i | −0.612614 | − | 1.06108i | −0.990798 | − | 0.135348i | \(-0.956785\pi\) |
0.378184 | − | 0.925730i | \(-0.376549\pi\) | |||||||
\(80\) | 5.80452 | − | 10.0537i | 0.648965 | − | 1.12404i | ||||
\(81\) | −2.98026 | + | 0.449202i | −0.331140 | + | 0.0499114i | ||||
\(82\) | −0.361217 | + | 0.335160i | −0.0398897 | + | 0.0370123i | ||||
\(83\) | 13.0849 | + | 6.30138i | 1.43626 | + | 0.691666i | 0.980150 | − | 0.198258i | \(-0.0635284\pi\) |
0.456109 | + | 0.889924i | \(0.349243\pi\) | |||||||
\(84\) | −4.50146 | + | 2.92616i | −0.491149 | + | 0.319270i | ||||
\(85\) | 17.0918 | − | 8.23098i | 1.85387 | − | 0.892776i | ||||
\(86\) | 5.95848 | − | 15.1819i | 0.642519 | − | 1.63711i | ||||
\(87\) | 0.0946894 | − | 1.26354i | 0.0101518 | − | 0.135466i | ||||
\(88\) | −3.35547 | − | 1.03503i | −0.357695 | − | 0.110334i | ||||
\(89\) | −1.04224 | − | 13.9077i | −0.110477 | − | 1.47422i | −0.726868 | − | 0.686777i | \(-0.759025\pi\) |
0.616391 | − | 0.787440i | \(-0.288594\pi\) | |||||||
\(90\) | 4.00108 | − | 17.5299i | 0.421751 | − | 1.84781i | ||||
\(91\) | −2.60690 | − | 0.451759i | −0.273277 | − | 0.0473572i | ||||
\(92\) | −2.79812 | − | 12.2594i | −0.291724 | − | 1.27813i | ||||
\(93\) | 6.72930 | − | 2.07571i | 0.697796 | − | 0.215242i | ||||
\(94\) | 5.46722 | + | 13.9302i | 0.563900 | + | 1.43679i | ||||
\(95\) | −0.153648 | − | 0.142565i | −0.0157640 | − | 0.0146268i | ||||
\(96\) | −5.66694 | − | 3.86366i | −0.578380 | − | 0.394333i | ||||
\(97\) | −15.3829 | −1.56190 | −0.780950 | − | 0.624594i | \(-0.785265\pi\) | ||||
−0.780950 | + | 0.624594i | \(0.785265\pi\) | |||||||
\(98\) | −3.88744 | + | 14.1354i | −0.392690 | + | 1.42789i | ||||
\(99\) | 9.88559 | 0.993539 | ||||||||
\(100\) | 18.1772 | + | 12.3930i | 1.81772 | + | 1.23930i | ||||
\(101\) | −2.65207 | − | 2.46076i | −0.263891 | − | 0.244855i | 0.537118 | − | 0.843507i | \(-0.319513\pi\) |
−0.801009 | + | 0.598652i | \(0.795703\pi\) | |||||||
\(102\) | −3.27350 | − | 8.34075i | −0.324125 | − | 0.825857i | ||||
\(103\) | 10.0146 | − | 3.08909i | 0.986766 | − | 0.304377i | 0.240956 | − | 0.970536i | \(-0.422539\pi\) |
0.745810 | + | 0.666159i | \(0.232063\pi\) | |||||||
\(104\) | 0.179960 | + | 0.788456i | 0.0176465 | + | 0.0773145i | ||||
\(105\) | 4.07976 | + | 7.43948i | 0.398144 | + | 0.726019i | ||||
\(106\) | 1.04504 | − | 4.57862i | 0.101503 | − | 0.444715i | ||||
\(107\) | −1.53423 | − | 20.4728i | −0.148319 | − | 1.97918i | −0.197138 | − | 0.980376i | \(-0.563165\pi\) |
0.0488188 | − | 0.998808i | \(-0.484454\pi\) | |||||||
\(108\) | −10.2322 | − | 3.15623i | −0.984598 | − | 0.303708i | ||||
\(109\) | −0.321894 | + | 4.29538i | −0.0308319 | + | 0.411423i | 0.960339 | + | 0.278834i | \(0.0899479\pi\) |
−0.991171 | + | 0.132589i | \(0.957671\pi\) | |||||||
\(110\) | −12.5277 | + | 31.9201i | −1.19447 | + | 3.04347i | ||||
\(111\) | 4.82580 | − | 2.32398i | 0.458045 | − | 0.220583i | ||||
\(112\) | −8.07890 | + | 1.03658i | −0.763385 | + | 0.0979475i | ||||
\(113\) | 2.44498 | + | 1.17744i | 0.230004 | + | 0.110764i | 0.545337 | − | 0.838217i | \(-0.316402\pi\) |
−0.315333 | + | 0.948981i | \(0.602116\pi\) | |||||||
\(114\) | −0.0725710 | + | 0.0673360i | −0.00679689 | + | 0.00630660i | ||||
\(115\) | −19.6501 | + | 2.96178i | −1.83239 | + | 0.276188i | ||||
\(116\) | −1.77760 | + | 3.07889i | −0.165046 | + | 0.285868i | ||||
\(117\) | −1.13838 | − | 1.97173i | −0.105243 | − | 0.182287i | ||||
\(118\) | −2.76040 | − | 3.46143i | −0.254115 | − | 0.318650i | ||||
\(119\) | −11.8621 | − | 6.03731i | −1.08739 | − | 0.553439i | ||||
\(120\) | 1.61705 | − | 2.02771i | 0.147615 | − | 0.185104i | ||||
\(121\) | −7.76483 | − | 1.17036i | −0.705894 | − | 0.106396i | ||||
\(122\) | −24.9984 | + | 17.0436i | −2.26324 | + | 1.54305i | ||||
\(123\) | 0.165325 | − | 0.112716i | 0.0149068 | − | 0.0101633i | ||||
\(124\) | −19.5383 | − | 2.94492i | −1.75459 | − | 0.264462i | ||||
\(125\) | 9.92135 | − | 12.4410i | 0.887393 | − | 1.11276i | ||||
\(126\) | −11.4839 | + | 5.22246i | −1.02307 | + | 0.465254i | ||||
\(127\) | 8.46157 | + | 10.6105i | 0.750843 | + | 0.941527i | 0.999635 | − | 0.0270302i | \(-0.00860502\pi\) |
−0.248792 | + | 0.968557i | \(0.580034\pi\) | |||||||
\(128\) | 3.17463 | + | 5.49863i | 0.280601 | + | 0.486015i | ||||
\(129\) | −3.31135 | + | 5.73543i | −0.291548 | + | 0.504977i | ||||
\(130\) | 7.80928 | − | 1.17706i | 0.684919 | − | 0.103235i | ||||
\(131\) | 5.90596 | − | 5.47993i | 0.516006 | − | 0.478783i | −0.378650 | − | 0.925540i | \(-0.623612\pi\) |
0.894655 | + | 0.446757i | \(0.147421\pi\) | |||||||
\(132\) | 7.93843 | + | 3.82294i | 0.690951 | + | 0.332745i | ||||
\(133\) | −0.0142117 | + | 0.146372i | −0.00123231 | + | 0.0126920i | ||||
\(134\) | 6.78534 | − | 3.26765i | 0.586164 | − | 0.282282i | ||||
\(135\) | −6.18235 | + | 15.7524i | −0.532092 | + | 1.35575i | ||||
\(136\) | −0.304041 | + | 4.05714i | −0.0260713 | + | 0.347897i | ||||
\(137\) | −8.98704 | − | 2.77213i | −0.767814 | − | 0.236839i | −0.113986 | − | 0.993482i | \(-0.536362\pi\) |
−0.653828 | + | 0.756643i | \(0.726838\pi\) | |||||||
\(138\) | 0.701415 | + | 9.35973i | 0.0597084 | + | 0.796753i | ||||
\(139\) | −0.521300 | + | 2.28396i | −0.0442161 | + | 0.193723i | −0.992212 | − | 0.124558i | \(-0.960249\pi\) |
0.947996 | + | 0.318282i | \(0.103106\pi\) | |||||||
\(140\) | −1.25663 | − | 23.7733i | −0.106205 | − | 2.00921i | ||||
\(141\) | −1.35219 | − | 5.92433i | −0.113875 | − | 0.498919i | ||||
\(142\) | −18.2992 | + | 5.64456i | −1.53564 | + | 0.473681i | ||||
\(143\) | 1.58629 | + | 4.04181i | 0.132652 | + | 0.337993i | ||||
\(144\) | −5.13809 | − | 4.76745i | −0.428174 | − | 0.397287i | ||||
\(145\) | 4.64213 | + | 3.16495i | 0.385508 | + | 0.262835i | ||||
\(146\) | −27.7008 | −2.29253 | ||||||||
\(147\) | 2.41642 | − | 5.44055i | 0.199303 | − | 0.448729i | ||||
\(148\) | −15.0286 | −1.23534 | ||||||||
\(149\) | −16.0262 | − | 10.9265i | −1.31292 | − | 0.895134i | −0.314388 | − | 0.949295i | \(-0.601799\pi\) |
−0.998532 | + | 0.0541611i | \(0.982752\pi\) | |||||||
\(150\) | −12.0376 | − | 11.1693i | −0.982867 | − | 0.911967i | ||||
\(151\) | −0.441405 | − | 1.12468i | −0.0359210 | − | 0.0915252i | 0.911788 | − | 0.410662i | \(-0.134702\pi\) |
−0.947709 | + | 0.319137i | \(0.896607\pi\) | |||||||
\(152\) | 0.0429551 | − | 0.0132499i | 0.00348411 | − | 0.00107471i | ||||
\(153\) | −2.54871 | − | 11.1666i | −0.206051 | − | 0.902767i | ||||
\(154\) | 23.1404 | − | 6.58426i | 1.86471 | − | 0.530575i | ||||
\(155\) | −6.94838 | + | 30.4428i | −0.558107 | + | 2.44523i | ||||
\(156\) | −0.151647 | − | 2.02360i | −0.0121415 | − | 0.162017i | ||||
\(157\) | 0.966650 | + | 0.298172i | 0.0771470 | + | 0.0237967i | 0.333088 | − | 0.942896i | \(-0.391909\pi\) |
−0.255941 | + | 0.966692i | \(0.582385\pi\) | |||||||
\(158\) | 1.70439 | − | 22.7434i | 0.135594 | − | 1.80937i | ||||
\(159\) | −0.696722 | + | 1.77522i | −0.0552536 | + | 0.140784i | ||||
\(160\) | 27.4006 | − | 13.1954i | 2.16620 | − | 1.04319i | ||||
\(161\) | 10.0097 | + | 9.70586i | 0.788875 | + | 0.764929i | ||||
\(162\) | −5.68701 | − | 2.73872i | −0.446814 | − | 0.215174i | ||||
\(163\) | −10.2429 | + | 9.50407i | −0.802290 | + | 0.744416i | −0.970439 | − | 0.241345i | \(-0.922411\pi\) |
0.168150 | + | 0.985761i | \(0.446221\pi\) | |||||||
\(164\) | −0.555152 | + | 0.0836757i | −0.0433501 | + | 0.00653398i | ||||
\(165\) | 6.96214 | − | 12.0588i | 0.542002 | − | 0.938775i | ||||
\(166\) | 15.2081 | + | 26.3411i | 1.18037 | + | 2.04447i | ||||
\(167\) | 0.00795730 | + | 0.00997814i | 0.000615755 | + | 0.000772132i | 0.782139 | − | 0.623104i | \(-0.214129\pi\) |
−0.781524 | + | 0.623876i | \(0.785557\pi\) | |||||||
\(168\) | −1.81924 | − | 0.0400115i | −0.140357 | − | 0.00308695i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | 39.2864 | + | 5.92148i | 3.01313 | + | 0.454156i | ||||
\(171\) | −0.104561 | + | 0.0712883i | −0.00799596 | + | 0.00545155i | ||||
\(172\) | 15.3532 | − | 10.4676i | 1.17067 | − | 0.798150i | ||||
\(173\) | 20.2196 | + | 3.04762i | 1.53727 | + | 0.231706i | 0.862399 | − | 0.506229i | \(-0.168961\pi\) |
0.674871 | + | 0.737936i | \(0.264199\pi\) | |||||||
\(174\) | 1.65454 | − | 2.07473i | 0.125430 | − | 0.157285i | ||||
\(175\) | −24.3875 | − | 0.536366i | −1.84352 | − | 0.0405455i | ||||
\(176\) | 8.33419 | + | 10.4507i | 0.628213 | + | 0.787755i | ||||
\(177\) | 0.898899 | + | 1.55694i | 0.0675654 | + | 0.117027i | ||||
\(178\) | 14.6044 | − | 25.2956i | 1.09465 | − | 1.89599i | ||||
\(179\) | 13.9892 | − | 2.10853i | 1.04560 | − | 0.157599i | 0.396291 | − | 0.918125i | \(-0.370297\pi\) |
0.649307 | + | 0.760526i | \(0.275059\pi\) | |||||||
\(180\) | 15.0175 | − | 13.9342i | 1.11934 | − | 1.03860i | ||||
\(181\) | 15.8350 | + | 7.62574i | 1.17701 | + | 0.566817i | 0.917038 | − | 0.398800i | \(-0.130573\pi\) |
0.259970 | + | 0.965617i | \(0.416287\pi\) | |||||||
\(182\) | −3.97802 | − | 3.85726i | −0.294870 | − | 0.285919i | ||||
\(183\) | 11.0692 | − | 5.33062i | 0.818255 | − | 0.394051i | ||||
\(184\) | 1.55704 | − | 3.96728i | 0.114787 | − | 0.292472i | ||||
\(185\) | −1.77485 | + | 23.6837i | −0.130490 | + | 1.74126i | ||||
\(186\) | 14.0933 | + | 4.34720i | 1.03337 | + | 0.318752i | ||||
\(187\) | 1.63234 | + | 21.7821i | 0.119369 | + | 1.59287i | ||||
\(188\) | −3.79399 | + | 16.6225i | −0.276705 | + | 1.21232i | ||||
\(189\) | 11.4196 | − | 3.24929i | 0.830657 | − | 0.236351i | ||||
\(190\) | −0.0976799 | − | 0.427964i | −0.00708645 | − | 0.0310478i | ||||
\(191\) | −2.05041 | + | 0.632468i | −0.148363 | + | 0.0457638i | −0.368047 | − | 0.929807i | \(-0.619973\pi\) |
0.219684 | + | 0.975571i | \(0.429497\pi\) | |||||||
\(192\) | −3.33486 | − | 8.49709i | −0.240673 | − | 0.613225i | ||||
\(193\) | −3.04832 | − | 2.82843i | −0.219423 | − | 0.203595i | 0.562800 | − | 0.826593i | \(-0.309724\pi\) |
−0.782223 | + | 0.622998i | \(0.785914\pi\) | |||||||
\(194\) | −26.6187 | − | 18.1483i | −1.91111 | − | 1.30297i | ||||
\(195\) | −3.20692 | −0.229652 | ||||||||
\(196\) | −12.7319 | + | 10.8117i | −0.909421 | + | 0.772263i | ||||
\(197\) | 10.9559 | 0.780576 | 0.390288 | − | 0.920693i | \(-0.372375\pi\) | ||||
0.390288 | + | 0.920693i | \(0.372375\pi\) | |||||||
\(198\) | 17.1061 | + | 11.6627i | 1.21567 | + | 0.828833i | ||||
\(199\) | −4.91444 | − | 4.55994i | −0.348376 | − | 0.323245i | 0.486504 | − | 0.873679i | \(-0.338272\pi\) |
−0.834879 | + | 0.550433i | \(0.814463\pi\) | |||||||
\(200\) | 2.72412 | + | 6.94094i | 0.192624 | + | 0.490799i | ||||
\(201\) | −2.92230 | + | 0.901410i | −0.206123 | + | 0.0635805i | ||||
\(202\) | −1.68602 | − | 7.38695i | −0.118628 | − | 0.519744i | ||||
\(203\) | −0.208078 | − | 3.93648i | −0.0146042 | − | 0.276287i | ||||
\(204\) | 2.27165 | − | 9.95276i | 0.159047 | − | 0.696833i | ||||
\(205\) | 0.0663031 | + | 0.884753i | 0.00463081 | + | 0.0617939i | ||||
\(206\) | 20.9737 | + | 6.46953i | 1.46131 | + | 0.450753i | ||||
\(207\) | −0.896623 | + | 11.9646i | −0.0623196 | + | 0.831597i | ||||
\(208\) | 1.12473 | − | 2.86576i | 0.0779859 | − | 0.198705i | ||||
\(209\) | 0.217440 | − | 0.104714i | 0.0150407 | − | 0.00724320i | ||||
\(210\) | −1.71724 | + | 17.6865i | −0.118501 | + | 1.22048i | ||||
\(211\) | −8.05305 | − | 3.87814i | −0.554395 | − | 0.266982i | 0.135641 | − | 0.990758i | \(-0.456691\pi\) |
−0.690035 | + | 0.723776i | \(0.742405\pi\) | |||||||
\(212\) | 3.92242 | − | 3.63947i | 0.269393 | − | 0.249960i | ||||
\(213\) | 7.68935 | − | 1.15898i | 0.526866 | − | 0.0794122i | ||||
\(214\) | 21.4984 | − | 37.2363i | 1.46960 | − | 2.54542i | ||||
\(215\) | −14.6829 | − | 25.4315i | −1.00137 | − | 1.73442i | ||||
\(216\) | −2.26278 | − | 2.83744i | −0.153963 | − | 0.193063i | ||||
\(217\) | 19.9432 | − | 9.06946i | 1.35383 | − | 0.615675i | ||||
\(218\) | −5.62456 | + | 7.05298i | −0.380944 | + | 0.477688i | ||||
\(219\) | 11.1228 | + | 1.67649i | 0.751607 | + | 0.113287i | ||||
\(220\) | −32.2802 | + | 22.0083i | −2.17633 | + | 1.48380i | ||||
\(221\) | 4.15659 | − | 2.83391i | 0.279602 | − | 0.190630i | ||||
\(222\) | 11.0924 | + | 1.67190i | 0.744470 | + | 0.112211i | ||||
\(223\) | 8.62736 | − | 10.8184i | 0.577731 | − | 0.724452i | −0.403993 | − | 0.914762i | \(-0.632378\pi\) |
0.981724 | + | 0.190310i | \(0.0609494\pi\) | |||||||
\(224\) | −19.0166 | − | 9.67864i | −1.27060 | − | 0.646681i | ||||
\(225\) | −13.0879 | − | 16.4117i | −0.872526 | − | 1.09411i | ||||
\(226\) | 2.84169 | + | 4.92195i | 0.189026 | + | 0.327403i | ||||
\(227\) | −8.03071 | + | 13.9096i | −0.533017 | + | 0.923212i | 0.466240 | + | 0.884658i | \(0.345608\pi\) |
−0.999257 | + | 0.0385536i | \(0.987725\pi\) | |||||||
\(228\) | −0.111534 | + | 0.0168110i | −0.00738652 | + | 0.00111334i | ||||
\(229\) | 7.12490 | − | 6.61094i | 0.470827 | − | 0.436863i | −0.408732 | − | 0.912655i | \(-0.634029\pi\) |
0.879558 | + | 0.475791i | \(0.157838\pi\) | |||||||
\(230\) | −37.4969 | − | 18.0576i | −2.47247 | − | 1.19068i | ||||
\(231\) | −9.69012 | + | 1.24331i | −0.637563 | + | 0.0818037i | ||||
\(232\) | −1.08562 | + | 0.522809i | −0.0712748 | + | 0.0343241i | ||||
\(233\) | −2.69098 | + | 6.85652i | −0.176292 | + | 0.449185i | −0.991520 | − | 0.129955i | \(-0.958517\pi\) |
0.815228 | + | 0.579141i | \(0.196612\pi\) | |||||||
\(234\) | 0.356332 | − | 4.75492i | 0.0232942 | − | 0.310839i | ||||
\(235\) | 25.7476 | + | 7.94208i | 1.67959 | + | 0.518084i | ||||
\(236\) | −0.376959 | − | 5.03017i | −0.0245380 | − | 0.327436i | ||||
\(237\) | −2.06083 | + | 9.02908i | −0.133865 | + | 0.586502i | ||||
\(238\) | −13.4036 | − | 24.4415i | −0.868823 | − | 1.58431i | ||||
\(239\) | 4.22191 | + | 18.4974i | 0.273093 | + | 1.19650i | 0.906341 | + | 0.422548i | \(0.138864\pi\) |
−0.633248 | + | 0.773949i | \(0.718279\pi\) | |||||||
\(240\) | −9.43411 | + | 2.91004i | −0.608969 | + | 0.187842i | ||||
\(241\) | 3.53990 | + | 9.01952i | 0.228025 | + | 0.580998i | 0.998397 | − | 0.0565963i | \(-0.0180248\pi\) |
−0.770372 | + | 0.637595i | \(0.779930\pi\) | |||||||
\(242\) | −12.0555 | − | 11.1859i | −0.774960 | − | 0.719058i | ||||
\(243\) | 13.2411 | + | 9.02763i | 0.849417 | + | 0.579123i | ||||
\(244\) | −34.4717 | −2.20682 | ||||||||
\(245\) | 15.5346 | + | 21.3412i | 0.992472 | + | 1.36344i | ||||
\(246\) | 0.419058 | 0.0267182 | ||||||||
\(247\) | −0.0459252 | − | 0.0313113i | −0.00292215 | − | 0.00199229i | ||||
\(248\) | −4.90914 | − | 4.55501i | −0.311731 | − | 0.289244i | ||||
\(249\) | −4.51233 | − | 11.4972i | −0.285958 | − | 0.728608i | ||||
\(250\) | 31.8454 | − | 9.82302i | 2.01408 | − | 0.621262i | ||||
\(251\) | 4.60919 | + | 20.1942i | 0.290929 | + | 1.27464i | 0.883235 | + | 0.468931i | \(0.155361\pi\) |
−0.592305 | + | 0.805714i | \(0.701782\pi\) | |||||||
\(252\) | −14.1625 | − | 2.45427i | −0.892154 | − | 0.154605i | ||||
\(253\) | 5.09158 | − | 22.3077i | 0.320105 | − | 1.40247i | ||||
\(254\) | 2.12402 | + | 28.3431i | 0.133273 | + | 1.77840i | ||||
\(255\) | −15.4164 | − | 4.75533i | −0.965413 | − | 0.297790i | ||||
\(256\) | 0.610508 | − | 8.14666i | 0.0381567 | − | 0.509166i | ||||
\(257\) | 1.81543 | − | 4.62563i | 0.113243 | − | 0.288539i | −0.863005 | − | 0.505196i | \(-0.831420\pi\) |
0.976248 | + | 0.216657i | \(0.0695154\pi\) | |||||||
\(258\) | −12.4965 | + | 6.01798i | −0.777996 | + | 0.374663i | ||||
\(259\) | 13.9712 | − | 9.08192i | 0.868125 | − | 0.564323i | ||||
\(260\) | 8.10692 | + | 3.90409i | 0.502770 | + | 0.242121i | ||||
\(261\) | 2.48666 | − | 2.30729i | 0.153921 | − | 0.142817i | ||||
\(262\) | 16.6847 | − | 2.51482i | 1.03079 | − | 0.155366i | ||||
\(263\) | −6.22204 | + | 10.7769i | −0.383668 | + | 0.664532i | −0.991583 | − | 0.129470i | \(-0.958672\pi\) |
0.607916 | + | 0.794001i | \(0.292006\pi\) | |||||||
\(264\) | 1.49314 | + | 2.58620i | 0.0918965 | + | 0.159169i | ||||
\(265\) | −5.27226 | − | 6.61120i | −0.323872 | − | 0.406123i | ||||
\(266\) | −0.197277 | + | 0.236516i | −0.0120958 | + | 0.0145017i | ||||
\(267\) | −7.39508 | + | 9.27313i | −0.452571 | + | 0.567507i | ||||
\(268\) | 8.48478 | + | 1.27888i | 0.518291 | + | 0.0781197i | ||||
\(269\) | −11.5345 | + | 7.86406i | −0.703268 | + | 0.479480i | −0.861393 | − | 0.507939i | \(-0.830408\pi\) |
0.158125 | + | 0.987419i | \(0.449455\pi\) | |||||||
\(270\) | −29.2822 | + | 19.9642i | −1.78206 | + | 1.21498i | ||||
\(271\) | −5.87593 | − | 0.885654i | −0.356937 | − | 0.0537996i | −0.0318740 | − | 0.999492i | \(-0.510148\pi\) |
−0.325063 | + | 0.945692i | \(0.605386\pi\) | |||||||
\(272\) | 9.65628 | − | 12.1086i | 0.585498 | − | 0.734191i | ||||
\(273\) | 1.36386 | + | 1.78957i | 0.0825443 | + | 0.108310i | ||||
\(274\) | −12.2807 | − | 15.3995i | −0.741906 | − | 0.930321i | ||||
\(275\) | 20.0160 | + | 34.6688i | 1.20701 | + | 2.09060i | ||||
\(276\) | −5.34695 | + | 9.26119i | −0.321849 | + | 0.557458i | ||||
\(277\) | 4.18617 | − | 0.630964i | 0.251523 | − | 0.0379109i | −0.0220707 | − | 0.999756i | \(-0.507026\pi\) |
0.273593 | + | 0.961845i | \(0.411788\pi\) | |||||||
\(278\) | −3.59661 | + | 3.33717i | −0.215710 | + | 0.200150i | ||||
\(279\) | 16.9861 | + | 8.18006i | 1.01693 | + | 0.489727i | ||||
\(280\) | 4.18700 | − | 6.89726i | 0.250221 | − | 0.412190i | ||||
\(281\) | −18.2641 | + | 8.79551i | −1.08954 | + | 0.524696i | −0.890356 | − | 0.455266i | \(-0.849544\pi\) |
−0.199187 | + | 0.979962i | \(0.563830\pi\) | |||||||
\(282\) | 4.64951 | − | 11.8468i | 0.276874 | − | 0.705464i | ||||
\(283\) | 2.21951 | − | 29.6173i | 0.131936 | − | 1.76056i | −0.402560 | − | 0.915393i | \(-0.631880\pi\) |
0.534496 | − | 0.845171i | \(-0.320501\pi\) | |||||||
\(284\) | −20.8492 | − | 6.43113i | −1.23717 | − | 0.381617i | ||||
\(285\) | 0.0133208 | + | 0.177753i | 0.000789053 | + | 0.0105292i | ||||
\(286\) | −2.02347 | + | 8.86542i | −0.119651 | + | 0.524223i | ||||
\(287\) | 0.465525 | − | 0.413272i | 0.0274791 | − | 0.0243947i | ||||
\(288\) | −4.08593 | − | 17.9016i | −0.240766 | − | 1.05486i | ||||
\(289\) | 7.93916 | − | 2.44891i | 0.467010 | − | 0.144053i | ||||
\(290\) | 4.29885 | + | 10.9533i | 0.252437 | + | 0.643200i | ||||
\(291\) | 9.58991 | + | 8.89813i | 0.562170 | + | 0.521618i | ||||
\(292\) | −26.0768 | − | 17.7789i | −1.52603 | − | 1.04043i | ||||
\(293\) | 20.1850 | 1.17922 | 0.589611 | − | 0.807687i | \(-0.299281\pi\) | ||||
0.589611 | + | 0.807687i | \(0.299281\pi\) | |||||||
\(294\) | 10.6000 | − | 6.56353i | 0.618204 | − | 0.382793i | ||||
\(295\) | −7.97163 | −0.464126 | ||||||||
\(296\) | −4.20852 | − | 2.86932i | −0.244615 | − | 0.166776i | ||||
\(297\) | −14.2833 | − | 13.2529i | −0.828800 | − | 0.769014i | ||||
\(298\) | −14.8411 | − | 37.8145i | −0.859722 | − | 2.19054i | ||||
\(299\) | −5.03571 | + | 1.55331i | −0.291222 | + | 0.0898302i | ||||
\(300\) | −4.16326 | − | 18.2404i | −0.240366 | − | 1.05311i | ||||
\(301\) | −7.94725 | + | 19.0092i | −0.458072 | + | 1.09567i | ||||
\(302\) | 0.563056 | − | 2.46691i | 0.0324002 | − | 0.141955i | ||||
\(303\) | 0.229925 | + | 3.06814i | 0.0132089 | + | 0.176260i | ||||
\(304\) | −0.163515 | − | 0.0504378i | −0.00937824 | − | 0.00289280i | ||||
\(305\) | −4.07105 | + | 54.3244i | −0.233108 | + | 3.11061i | ||||
\(306\) | 8.76374 | − | 22.3296i | 0.500989 | − | 1.27650i | ||||
\(307\) | 1.40354 | − | 0.675907i | 0.0801040 | − | 0.0385761i | −0.393403 | − | 0.919366i | \(-0.628702\pi\) |
0.473507 | + | 0.880790i | \(0.342988\pi\) | |||||||
\(308\) | 26.0097 | + | 8.65368i | 1.48204 | + | 0.493089i | ||||
\(309\) | −8.03008 | − | 3.86708i | −0.456815 | − | 0.219991i | ||||
\(310\) | −47.9390 | + | 44.4809i | −2.72275 | + | 2.52635i | ||||
\(311\) | −7.60127 | + | 1.14571i | −0.431028 | + | 0.0649671i | −0.360973 | − | 0.932576i | \(-0.617556\pi\) |
−0.0700548 | + | 0.997543i | \(0.522317\pi\) | |||||||
\(312\) | 0.343887 | − | 0.595630i | 0.0194688 | − | 0.0337209i | ||||
\(313\) | −2.39985 | − | 4.15667i | −0.135648 | − | 0.234949i | 0.790197 | − | 0.612853i | \(-0.209978\pi\) |
−0.925845 | + | 0.377904i | \(0.876645\pi\) | |||||||
\(314\) | 1.32092 | + | 1.65638i | 0.0745439 | + | 0.0934750i | ||||
\(315\) | −5.54029 | + | 22.0290i | −0.312160 | + | 1.24120i | ||||
\(316\) | 16.2016 | − | 20.3162i | 0.911413 | − | 1.14288i | ||||
\(317\) | −13.1395 | − | 1.98047i | −0.737991 | − | 0.111234i | −0.230719 | − | 0.973020i | \(-0.574108\pi\) |
−0.507272 | + | 0.861786i | \(0.669346\pi\) | |||||||
\(318\) | −3.29996 | + | 2.24987i | −0.185052 | + | 0.126167i | ||||
\(319\) | −5.34509 | + | 3.64422i | −0.299268 | + | 0.204037i | ||||
\(320\) | 40.0228 | + | 6.03247i | 2.23734 | + | 0.337225i | ||||
\(321\) | −10.8859 | + | 13.6505i | −0.607591 | + | 0.761896i | ||||
\(322\) | 5.87015 | + | 28.6042i | 0.327131 | + | 1.59405i | ||||
\(323\) | −0.174344 | − | 0.218620i | −0.00970074 | − | 0.0121643i | ||||
\(324\) | −3.59585 | − | 6.22819i | −0.199769 | − | 0.346011i | ||||
\(325\) | 4.60991 | − | 7.98460i | 0.255712 | − | 0.442906i | ||||
\(326\) | −28.9371 | + | 4.36156i | −1.60268 | + | 0.241564i | ||||
\(327\) | 2.68530 | − | 2.49160i | 0.148498 | − | 0.137786i | ||||
\(328\) | −0.171438 | − | 0.0825600i | −0.00946606 | − | 0.00455861i | ||||
\(329\) | −6.51812 | − | 17.7457i | −0.359356 | − | 0.978353i | ||||
\(330\) | 26.2739 | − | 12.6528i | 1.44633 | − | 0.696516i | ||||
\(331\) | 2.92056 | − | 7.44147i | 0.160529 | − | 0.409020i | −0.827866 | − | 0.560925i | \(-0.810446\pi\) |
0.988395 | + | 0.151905i | \(0.0485407\pi\) | |||||||
\(332\) | −2.58974 | + | 34.5577i | −0.142131 | + | 1.89660i | ||||
\(333\) | 13.7025 | + | 4.22666i | 0.750893 | + | 0.231620i | ||||
\(334\) | 0.00199744 | + | 0.0266540i | 0.000109295 | + | 0.00145844i | ||||
\(335\) | 3.01743 | − | 13.2202i | 0.164860 | − | 0.722299i | ||||
\(336\) | 5.63609 | + | 4.02696i | 0.307474 | + | 0.219689i | ||||
\(337\) | 5.36359 | + | 23.4994i | 0.292173 | + | 1.28010i | 0.881494 | + | 0.472196i | \(0.156538\pi\) |
−0.589320 | + | 0.807899i | \(0.700604\pi\) | |||||||
\(338\) | 2.00127 | − | 0.617310i | 0.108855 | − | 0.0335773i | ||||
\(339\) | −0.843148 | − | 2.14831i | −0.0457935 | − | 0.116680i | ||||
\(340\) | 33.1827 | + | 30.7891i | 1.79959 | + | 1.66977i | ||||
\(341\) | −29.7068 | − | 20.2538i | −1.60871 | − | 1.09680i | ||||
\(342\) | −0.265036 | −0.0143315 | ||||||||
\(343\) | 5.30246 | − | 17.7450i | 0.286306 | − | 0.958138i | ||||
\(344\) | 6.29796 | 0.339563 | ||||||||
\(345\) | 13.9634 | + | 9.52006i | 0.751762 | + | 0.512543i | ||||
\(346\) | 31.3927 | + | 29.1281i | 1.68768 | + | 1.56594i | ||||
\(347\) | −5.58899 | − | 14.2405i | −0.300033 | − | 0.764471i | −0.998793 | − | 0.0491149i | \(-0.984360\pi\) |
0.698761 | − | 0.715356i | \(-0.253735\pi\) | |||||||
\(348\) | 2.88914 | − | 0.891181i | 0.154874 | − | 0.0477723i | ||||
\(349\) | −0.323591 | − | 1.41775i | −0.0173214 | − | 0.0758902i | 0.965528 | − | 0.260297i | \(-0.0838206\pi\) |
−0.982850 | + | 0.184407i | \(0.940963\pi\) | |||||||
\(350\) | −41.5674 | − | 29.6997i | −2.22187 | − | 1.58752i | ||||
\(351\) | −0.998571 | + | 4.37503i | −0.0532998 | + | 0.233522i | ||||
\(352\) | 2.61687 | + | 34.9198i | 0.139480 | + | 1.86123i | ||||
\(353\) | 5.88527 | + | 1.81536i | 0.313241 | + | 0.0966221i | 0.447390 | − | 0.894339i | \(-0.352354\pi\) |
−0.134149 | + | 0.990961i | \(0.542830\pi\) | |||||||
\(354\) | −0.281370 | + | 3.75463i | −0.0149547 | + | 0.199556i | ||||
\(355\) | −12.5972 | + | 32.0970i | −0.668588 | + | 1.70353i | ||||
\(356\) | 29.9834 | − | 14.4393i | 1.58912 | − | 0.765279i | ||||
\(357\) | 3.90273 | + | 10.6253i | 0.206555 | + | 0.562348i | ||||
\(358\) | 26.6945 | + | 12.8554i | 1.41085 | + | 0.679428i | ||||
\(359\) | 17.3898 | − | 16.1354i | 0.917800 | − | 0.851594i | −0.0715069 | − | 0.997440i | \(-0.522781\pi\) |
0.989307 | + | 0.145846i | \(0.0465903\pi\) | |||||||
\(360\) | 6.86581 | − | 1.03485i | 0.361860 | − | 0.0545416i | ||||
\(361\) | 9.49846 | − | 16.4518i | 0.499919 | − | 0.865885i | ||||
\(362\) | 18.4044 | + | 31.8773i | 0.967312 | + | 1.67543i | ||||
\(363\) | 4.16371 | + | 5.22112i | 0.218538 | + | 0.274038i | ||||
\(364\) | −1.26914 | − | 6.18429i | −0.0665210 | − | 0.324145i | ||||
\(365\) | −31.0976 | + | 38.9951i | −1.62772 | + | 2.04110i | ||||
\(366\) | 25.4430 | + | 3.83492i | 1.32993 | + | 0.200454i | ||||
\(367\) | 30.3887 | − | 20.7187i | 1.58628 | − | 1.08151i | 0.635295 | − | 0.772270i | \(-0.280879\pi\) |
0.950985 | − | 0.309238i | \(-0.100074\pi\) | |||||||
\(368\) | −13.4045 | + | 9.13905i | −0.698759 | + | 0.476406i | ||||
\(369\) | 0.529701 | + | 0.0798396i | 0.0275751 | + | 0.00415628i | ||||
\(370\) | −31.0125 | + | 38.8885i | −1.61227 | + | 2.02172i | ||||
\(371\) | −1.44706 | + | 5.75375i | −0.0751279 | + | 0.298720i | ||||
\(372\) | 10.4769 | + | 13.1377i | 0.543204 | + | 0.681156i | ||||
\(373\) | 0.349815 | + | 0.605898i | 0.0181128 | + | 0.0313722i | 0.874940 | − | 0.484232i | \(-0.160901\pi\) |
−0.856827 | + | 0.515604i | \(0.827568\pi\) | |||||||
\(374\) | −22.8733 | + | 39.6177i | −1.18275 | + | 2.04858i | ||||
\(375\) | −13.3815 | + | 2.01693i | −0.691017 | + | 0.104154i | ||||
\(376\) | −4.23609 | + | 3.93052i | −0.218460 | + | 0.202701i | ||||
\(377\) | 1.34238 | + | 0.646455i | 0.0691360 | + | 0.0332941i | ||||
\(378\) | 23.5940 | + | 7.84996i | 1.21355 | + | 0.403758i | ||||
\(379\) | 13.6839 | − | 6.58984i | 0.702897 | − | 0.338497i | −0.0480636 | − | 0.998844i | \(-0.515305\pi\) |
0.750961 | + | 0.660347i | \(0.229591\pi\) | |||||||
\(380\) | 0.182722 | − | 0.465567i | 0.00937342 | − | 0.0238831i | ||||
\(381\) | 0.862497 | − | 11.5092i | 0.0441871 | − | 0.589636i | ||||
\(382\) | −4.29421 | − | 1.32459i | −0.219711 | − | 0.0677718i | ||||
\(383\) | −0.299106 | − | 3.99129i | −0.0152836 | − | 0.203946i | −0.999618 | − | 0.0276344i | \(-0.991203\pi\) |
0.984334 | − | 0.176311i | \(-0.0564165\pi\) | |||||||
\(384\) | 1.20153 | − | 5.26426i | 0.0613154 | − | 0.268640i | ||||
\(385\) | 16.7091 | − | 39.9670i | 0.851577 | − | 2.03691i | ||||
\(386\) | −1.93793 | − | 8.49064i | −0.0986382 | − | 0.432162i | ||||
\(387\) | −16.9424 | + | 5.22605i | −0.861233 | + | 0.265655i | ||||
\(388\) | −13.4102 | − | 34.1687i | −0.680801 | − | 1.73465i | ||||
\(389\) | −25.8478 | − | 23.9832i | −1.31053 | − | 1.21600i | −0.960181 | − | 0.279380i | \(-0.909871\pi\) |
−0.350353 | − | 0.936618i | \(-0.613939\pi\) | |||||||
\(390\) | −5.54927 | − | 3.78343i | −0.280998 | − | 0.191581i | ||||
\(391\) | −26.5111 | −1.34072 | ||||||||
\(392\) | −5.62958 | + | 0.596816i | −0.284337 | + | 0.0301438i | ||||
\(393\) | −6.85167 | −0.345621 | ||||||||
\(394\) | 18.9581 | + | 12.9254i | 0.955098 | + | 0.651175i | ||||
\(395\) | −30.1032 | − | 27.9317i | −1.51465 | − | 1.40539i | ||||
\(396\) | 8.61787 | + | 21.9580i | 0.433064 | + | 1.10343i | ||||
\(397\) | 10.4144 | − | 3.21241i | 0.522683 | − | 0.161226i | −0.0221758 | − | 0.999754i | \(-0.507059\pi\) |
0.544859 | + | 0.838528i | \(0.316583\pi\) | |||||||
\(398\) | −3.12430 | − | 13.6884i | −0.156607 | − | 0.686140i | ||||
\(399\) | 0.0935273 | − | 0.0830293i | 0.00468222 | − | 0.00415666i | ||||
\(400\) | 6.31601 | − | 27.6722i | 0.315800 | − | 1.38361i | ||||
\(401\) | −1.30946 | − | 17.4735i | −0.0653911 | − | 0.872584i | −0.929392 | − | 0.369094i | \(-0.879668\pi\) |
0.864001 | − | 0.503490i | \(-0.167951\pi\) | |||||||
\(402\) | −6.12021 | − | 1.88784i | −0.305249 | − | 0.0941567i | ||||
\(403\) | −0.618815 | + | 8.25751i | −0.0308254 | + | 0.411336i | ||||
\(404\) | 3.15390 | − | 8.03600i | 0.156912 | − | 0.399806i | ||||
\(405\) | −10.2398 | + | 4.93120i | −0.508817 | + | 0.245034i | ||||
\(406\) | 4.28408 | − | 7.05719i | 0.212615 | − | 0.350242i | ||||
\(407\) | −24.6385 | − | 11.8653i | −1.22128 | − | 0.588139i | ||||
\(408\) | 2.53637 | − | 2.35340i | 0.125569 | − | 0.116511i | ||||
\(409\) | 8.79038 | − | 1.32494i | 0.434657 | − | 0.0655139i | 0.0719303 | − | 0.997410i | \(-0.477084\pi\) |
0.362726 | + | 0.931896i | \(0.381846\pi\) | |||||||
\(410\) | −0.929074 | + | 1.60920i | −0.0458837 | + | 0.0794729i | ||||
\(411\) | 3.99911 | + | 6.92667i | 0.197262 | + | 0.341667i | ||||
\(412\) | 15.5918 | + | 19.5515i | 0.768155 | + | 0.963236i | ||||
\(413\) | 3.39022 | + | 4.44845i | 0.166822 | + | 0.218894i | ||||
\(414\) | −15.6670 | + | 19.6458i | −0.769991 | + | 0.965538i | ||||
\(415\) | 54.1541 | + | 8.16241i | 2.65832 | + | 0.400677i | ||||
\(416\) | 6.66359 | − | 4.54316i | 0.326709 | − | 0.222747i | ||||
\(417\) | 1.64613 | − | 1.12231i | 0.0806111 | − | 0.0549597i | ||||
\(418\) | 0.499798 | + | 0.0753324i | 0.0244459 | + | 0.00368463i | ||||
\(419\) | −3.31702 | + | 4.15941i | −0.162047 | + | 0.203201i | −0.856225 | − | 0.516602i | \(-0.827197\pi\) |
0.694178 | + | 0.719803i | \(0.255768\pi\) | |||||||
\(420\) | −12.9681 | + | 15.5475i | −0.632777 | + | 0.758638i | ||||
\(421\) | 5.62453 | + | 7.05294i | 0.274123 | + | 0.343739i | 0.899768 | − | 0.436369i | \(-0.143736\pi\) |
−0.625645 | + | 0.780108i | \(0.715164\pi\) | |||||||
\(422\) | −9.35971 | − | 16.2115i | −0.455624 | − | 0.789163i | ||||
\(423\) | 8.13417 | − | 14.0888i | 0.395497 | − | 0.685021i | ||||
\(424\) | 1.79328 | − | 0.270293i | 0.0870892 | − | 0.0131266i | ||||
\(425\) | 34.0008 | − | 31.5481i | 1.64928 | − | 1.53031i | ||||
\(426\) | 14.6730 | + | 7.06616i | 0.710910 | + | 0.342356i | ||||
\(427\) | 32.0463 | − | 20.8316i | 1.55083 | − | 1.00811i | ||||
\(428\) | 44.1370 | − | 21.2553i | 2.13344 | − | 1.02741i | ||||
\(429\) | 1.34904 | − | 3.43729i | 0.0651322 | − | 0.165954i | ||||
\(430\) | 4.59599 | − | 61.3293i | 0.221638 | − | 2.95756i | ||||
\(431\) | 23.8351 | + | 7.35216i | 1.14810 | + | 0.354141i | 0.809689 | − | 0.586859i | \(-0.199636\pi\) |
0.338408 | + | 0.941000i | \(0.390112\pi\) | |||||||
\(432\) | 1.03241 | + | 13.7766i | 0.0496719 | + | 0.662826i | ||||
\(433\) | −1.35285 | + | 5.92724i | −0.0650140 | + | 0.284845i | −0.996976 | − | 0.0777113i | \(-0.975239\pi\) |
0.931962 | + | 0.362556i | \(0.118096\pi\) | |||||||
\(434\) | 45.2097 | + | 7.83455i | 2.17013 | + | 0.376071i | ||||
\(435\) | −1.06322 | − | 4.65828i | −0.0509776 | − | 0.223347i | ||||
\(436\) | −9.82155 | + | 3.02955i | −0.470367 | + | 0.145089i | ||||
\(437\) | 0.107014 | + | 0.272667i | 0.00511917 | + | 0.0130434i | ||||
\(438\) | 17.2690 | + | 16.0233i | 0.825146 | + | 0.765623i | ||||
\(439\) | −19.1730 | − | 13.0719i | −0.915076 | − | 0.623888i | 0.0115251 | − | 0.999934i | \(-0.496331\pi\) |
−0.926601 | + | 0.376045i | \(0.877284\pi\) | |||||||
\(440\) | −13.2415 | −0.631264 | ||||||||
\(441\) | 14.6492 | − | 6.27696i | 0.697580 | − | 0.298903i | ||||
\(442\) | 10.5359 | 0.501144 | ||||||||
\(443\) | −16.4965 | − | 11.2471i | −0.783773 | − | 0.534367i | 0.104039 | − | 0.994573i | \(-0.466823\pi\) |
−0.887812 | + | 0.460206i | \(0.847776\pi\) | |||||||
\(444\) | 9.36900 | + | 8.69316i | 0.444633 | + | 0.412559i | ||||
\(445\) | −19.2140 | − | 48.9565i | −0.910832 | − | 2.32076i | ||||
\(446\) | 27.6920 | − | 8.54186i | 1.31126 | − | 0.404469i | ||||
\(447\) | 3.67060 | + | 16.0820i | 0.173614 | + | 0.760651i | ||||
\(448\) | −13.6548 | − | 24.8997i | −0.645129 | − | 1.17640i | ||||
\(449\) | 4.53645 | − | 19.8755i | 0.214088 | − | 0.937982i | −0.747668 | − | 0.664073i | \(-0.768826\pi\) |
0.961756 | − | 0.273909i | \(-0.0883166\pi\) | |||||||
\(450\) | −3.28532 | − | 43.8396i | −0.154871 | − | 2.06662i | ||||
\(451\) | −0.976203 | − | 0.301119i | −0.0459676 | − | 0.0141791i | ||||
\(452\) | −0.483904 | + | 6.45725i | −0.0227609 | + | 0.303723i | ||||
\(453\) | −0.375386 | + | 0.956467i | −0.0176372 | + | 0.0449387i | ||||
\(454\) | −30.3065 | + | 14.5948i | −1.42235 | + | 0.684969i | ||||
\(455\) | −9.89579 | + | 1.26970i | −0.463922 | + | 0.0595244i | ||||
\(456\) | −0.0344430 | − | 0.0165869i | −0.00161294 | − | 0.000776752i | ||||
\(457\) | −26.5418 | + | 24.6272i | −1.24157 | + | 1.15201i | −0.259049 | + | 0.965864i | \(0.583409\pi\) |
−0.982522 | + | 0.186146i | \(0.940400\pi\) | |||||||
\(458\) | 20.1283 | − | 3.03386i | 0.940536 | − | 0.141763i | ||||
\(459\) | −11.2878 | + | 19.5511i | −0.526870 | + | 0.912565i | ||||
\(460\) | −23.7090 | − | 41.0651i | −1.10544 | − | 1.91467i | ||||
\(461\) | 10.4250 | + | 13.0725i | 0.485541 | + | 0.608849i | 0.962900 | − | 0.269860i | \(-0.0869773\pi\) |
−0.477359 | + | 0.878708i | \(0.658406\pi\) | |||||||
\(462\) | −18.2346 | − | 9.28068i | −0.848352 | − | 0.431776i | ||||
\(463\) | 3.95161 | − | 4.95516i | 0.183647 | − | 0.230286i | −0.681483 | − | 0.731834i | \(-0.738665\pi\) |
0.865130 | + | 0.501548i | \(0.167236\pi\) | |||||||
\(464\) | 4.53561 | + | 0.683634i | 0.210561 | + | 0.0317369i | ||||
\(465\) | 21.9411 | − | 14.9592i | 1.01750 | − | 0.693717i | ||||
\(466\) | −12.7456 | + | 8.68980i | −0.590429 | + | 0.402547i | ||||
\(467\) | −3.22869 | − | 0.486647i | −0.149406 | − | 0.0225193i | 0.0739133 | − | 0.997265i | \(-0.476451\pi\) |
−0.223319 | + | 0.974745i | \(0.571689\pi\) | |||||||
\(468\) | 3.38724 | − | 4.24746i | 0.156575 | − | 0.196339i | ||||
\(469\) | −8.66063 | + | 3.93855i | −0.399911 | + | 0.181865i | ||||
\(470\) | 35.1839 | + | 44.1193i | 1.62291 | + | 2.03507i | ||||
\(471\) | −0.430146 | − | 0.745035i | −0.0198201 | − | 0.0343294i | ||||
\(472\) | 0.854821 | − | 1.48059i | 0.0393463 | − | 0.0681498i | ||||
\(473\) | 33.4350 | − | 5.03952i | 1.53734 | − | 0.231717i | ||||
\(474\) | −14.2183 | + | 13.1927i | −0.653069 | + | 0.605959i | ||||
\(475\) | −0.461719 | − | 0.222352i | −0.0211851 | − | 0.0102022i | ||||
\(476\) | 3.06924 | − | 31.6113i | 0.140678 | − | 1.44890i | ||||
\(477\) | −4.59989 | + | 2.21519i | −0.210614 | + | 0.101427i | ||||
\(478\) | −14.5171 | + | 36.9888i | −0.663994 | + | 1.69183i | ||||
\(479\) | 0.297506 | − | 3.96994i | 0.0135934 | − | 0.181391i | −0.986274 | − | 0.165116i | \(-0.947200\pi\) |
0.999868 | − | 0.0162752i | \(-0.00518078\pi\) | |||||||
\(480\) | −24.7146 | − | 7.62345i | −1.12806 | − | 0.347962i | ||||
\(481\) | 0.470668 | + | 6.28062i | 0.0214606 | + | 0.286372i | ||||
\(482\) | −4.51550 | + | 19.7837i | −0.205675 | + | 0.901122i | ||||
\(483\) | −0.625892 | − | 11.8408i | −0.0284791 | − | 0.538775i | ||||
\(484\) | −4.16946 | − | 18.2676i | −0.189521 | − | 0.830345i | ||||
\(485\) | −55.4306 | + | 17.0981i | −2.51698 | + | 0.776384i | ||||
\(486\) | 12.2619 | + | 31.2429i | 0.556213 | + | 1.41721i | ||||
\(487\) | −14.0589 | − | 13.0447i | −0.637068 | − | 0.591113i | 0.294068 | − | 0.955784i | \(-0.404991\pi\) |
−0.931136 | + | 0.364672i | \(0.881181\pi\) | |||||||
\(488\) | −9.65327 | − | 6.58149i | −0.436983 | − | 0.297930i | ||||
\(489\) | 11.8831 | 0.537374 | ||||||||
\(490\) | 1.70353 | + | 55.2562i | 0.0769576 | + | 2.49622i | ||||
\(491\) | −36.8111 | −1.66126 | −0.830631 | − | 0.556823i | \(-0.812020\pi\) | ||||
−0.830631 | + | 0.556823i | \(0.812020\pi\) | |||||||
\(492\) | 0.394490 | + | 0.268959i | 0.0177850 | + | 0.0121256i | ||||
\(493\) | 5.49453 | + | 5.09818i | 0.247461 | + | 0.229611i | ||||
\(494\) | −0.0425291 | − | 0.108362i | −0.00191347 | − | 0.00487545i | ||||
\(495\) | 35.6216 | − | 10.9878i | 1.60107 | − | 0.493865i | ||||
\(496\) | 5.67264 | + | 24.8535i | 0.254709 | + | 1.11595i | ||||
\(497\) | 23.2686 | − | 6.62075i | 1.04374 | − | 0.296981i | ||||
\(498\) | 5.75593 | − | 25.2184i | 0.257930 | − | 1.13006i | ||||
\(499\) | −2.88774 | − | 38.5341i | −0.129273 | − | 1.72503i | −0.565123 | − | 0.825006i | \(-0.691171\pi\) |
0.435851 | − | 0.900019i | \(-0.356448\pi\) | |||||||
\(500\) | 36.2831 | + | 11.1918i | 1.62263 | + | 0.500515i | ||||
\(501\) | 0.000811097 | − | 0.0108233i | 3.62371e−5 | − | 0.000483551i | ||||
\(502\) | −15.8487 | + | 40.3819i | −0.707363 | + | 1.80233i | ||||
\(503\) | −14.3053 | + | 6.88909i | −0.637844 | + | 0.307169i | −0.724714 | − | 0.689050i | \(-0.758028\pi\) |
0.0868697 | + | 0.996220i | \(0.472314\pi\) | |||||||
\(504\) | −3.49741 | − | 3.39125i | −0.155787 | − | 0.151058i | ||||
\(505\) | −12.2916 | − | 5.91931i | −0.546968 | − | 0.263406i | ||||
\(506\) | 35.1284 | − | 32.5944i | 1.56165 | − | 1.44900i | ||||
\(507\) | −0.840936 | + | 0.126751i | −0.0373473 | + | 0.00562920i | ||||
\(508\) | −16.1916 | + | 28.0447i | −0.718387 | + | 1.24428i | ||||
\(509\) | −11.2460 | − | 19.4787i | −0.498471 | − | 0.863376i | 0.501528 | − | 0.865141i | \(-0.332771\pi\) |
−0.999998 | + | 0.00176515i | \(0.999438\pi\) | |||||||
\(510\) | −21.0664 | − | 26.4165i | −0.932837 | − | 1.16974i | ||||
\(511\) | 34.9860 | + | 0.769465i | 1.54769 | + | 0.0340391i | ||||
\(512\) | 18.5850 | − | 23.3049i | 0.821349 | − | 1.02994i | ||||
\(513\) | 0.246647 | + | 0.0371760i | 0.0108897 | + | 0.00164136i | ||||
\(514\) | 8.59860 | − | 5.86243i | 0.379268 | − | 0.258581i | ||||
\(515\) | 32.6529 | − | 22.2624i | 1.43886 | − | 0.980997i | ||||
\(516\) | −15.6263 | − | 2.35529i | −0.687910 | − | 0.103686i | ||||
\(517\) | −19.3437 | + | 24.2563i | −0.850736 | + | 1.06679i | ||||
\(518\) | 34.8903 | + | 0.767361i | 1.53299 | + | 0.0337159i | ||||
\(519\) | −10.8423 | − | 13.5958i | −0.475924 | − | 0.596790i | ||||
\(520\) | 1.52483 | + | 2.64109i | 0.0668683 | + | 0.115819i | ||||
\(521\) | 3.30181 | − | 5.71890i | 0.144655 | − | 0.250549i | −0.784589 | − | 0.620016i | \(-0.787126\pi\) |
0.929244 | + | 0.369466i | \(0.120460\pi\) | |||||||
\(522\) | 7.02500 | − | 1.05885i | 0.307476 | − | 0.0463445i | ||||
\(523\) | 5.36709 | − | 4.97993i | 0.234686 | − | 0.217757i | −0.554059 | − | 0.832478i | \(-0.686922\pi\) |
0.788745 | + | 0.614720i | \(0.210731\pi\) | |||||||
\(524\) | 17.3206 | + | 8.34118i | 0.756656 | + | 0.364386i | ||||
\(525\) | 14.8932 | + | 14.4411i | 0.649992 | + | 0.630262i | ||||
\(526\) | −23.4809 | + | 11.3078i | −1.02382 | + | 0.493044i | ||||
\(527\) | −15.2193 | + | 38.7782i | −0.662964 | + | 1.68920i | ||||
\(528\) | 0.849514 | − | 11.3360i | 0.0369703 | − | 0.493335i | ||||
\(529\) | 4.55915 | + | 1.40631i | 0.198224 | + | 0.0611439i | ||||
\(530\) | −1.32344 | − | 17.6601i | −0.0574866 | − | 0.767106i | ||||
\(531\) | −1.07100 | + | 4.69234i | −0.0464773 | + | 0.203630i | ||||
\(532\) | −0.337511 | + | 0.0960339i | −0.0146330 | + | 0.00416360i | ||||
\(533\) | 0.0523555 | + | 0.229384i | 0.00226777 | + | 0.00993574i | ||||
\(534\) | −23.7366 | + | 7.32178i | −1.02718 | + | 0.316845i | ||||
\(535\) | −28.2839 | − | 72.0662i | −1.22282 | − | 3.11570i | ||||
\(536\) | 2.13187 | + | 1.97808i | 0.0920825 | + | 0.0854401i | ||||
\(537\) | −9.94067 | − | 6.77744i | −0.428972 | − | 0.292468i | ||||
\(538\) | −29.2371 | −1.26050 | ||||||||
\(539\) | −29.4091 | + | 7.67311i | −1.26674 | + | 0.330504i | ||||
\(540\) | −40.3789 | −1.73763 | ||||||||
\(541\) | −29.4316 | − | 20.0661i | −1.26536 | − | 0.862709i | −0.270379 | − | 0.962754i | \(-0.587149\pi\) |
−0.994983 | + | 0.100045i | \(0.968101\pi\) | |||||||
\(542\) | −9.12287 | − | 8.46478i | −0.391861 | − | 0.363594i | ||||
\(543\) | −5.46070 | − | 13.9136i | −0.234341 | − | 0.597091i | ||||
\(544\) | 38.7702 | − | 11.9590i | 1.66226 | − | 0.512738i | ||||
\(545\) | 3.61439 | + | 15.8357i | 0.154824 | + | 0.678327i | ||||
\(546\) | 0.248740 | + | 4.70572i | 0.0106451 | + | 0.201386i | ||||
\(547\) | 6.75815 | − | 29.6094i | 0.288957 | − | 1.26601i | −0.597001 | − | 0.802241i | \(-0.703641\pi\) |
0.885958 | − | 0.463765i | \(-0.153502\pi\) | |||||||
\(548\) | −1.67705 | − | 22.3787i | −0.0716402 | − | 0.955972i | ||||
\(549\) | 31.4300 | + | 9.69489i | 1.34140 | + | 0.413768i | ||||
\(550\) | −6.26535 | + | 83.6053i | −0.267155 | + | 3.56494i | ||||
\(551\) | 0.0302558 | − | 0.0770905i | 0.00128894 | − | 0.00328417i | ||||
\(552\) | −3.26552 | + | 1.57259i | −0.138990 | + | 0.0669339i | ||||
\(553\) | −2.78439 | + | 28.6775i | −0.118404 | + | 1.21949i | ||||
\(554\) | 7.98816 | + | 3.84690i | 0.339384 | + | 0.163439i | ||||
\(555\) | 14.8061 | − | 13.7381i | 0.628485 | − | 0.583149i | ||||
\(556\) | −5.52761 | + | 0.833153i | −0.234423 | + | 0.0353336i | ||||
\(557\) | −17.8032 | + | 30.8360i | −0.754344 | + | 1.30656i | 0.191356 | + | 0.981521i | \(0.438711\pi\) |
−0.945700 | + | 0.325041i | \(0.894622\pi\) | |||||||
\(558\) | 19.7422 | + | 34.1944i | 0.835753 | + | 1.44757i | ||||
\(559\) | −4.85539 | − | 6.08847i | −0.205361 | − | 0.257515i | ||||
\(560\) | −27.9593 | + | 12.7149i | −1.18149 | + | 0.537302i | ||||
\(561\) | 11.5821 | − | 14.5235i | 0.488996 | − | 0.613181i | ||||
\(562\) | −41.9809 | − | 6.32760i | −1.77086 | − | 0.266914i | ||||
\(563\) | 9.64898 | − | 6.57857i | 0.406656 | − | 0.277253i | −0.342668 | − | 0.939456i | \(-0.611331\pi\) |
0.749325 | + | 0.662203i | \(0.230378\pi\) | |||||||
\(564\) | 11.9804 | − | 8.16810i | 0.504466 | − | 0.343939i | ||||
\(565\) | 10.1189 | + | 1.52518i | 0.425706 | + | 0.0641648i | ||||
\(566\) | 38.7822 | − | 48.6314i | 1.63014 | − | 2.04413i | ||||
\(567\) | 7.10660 | + | 3.61697i | 0.298449 | + | 0.151898i | ||||
\(568\) | −4.61064 | − | 5.78156i | −0.193458 | − | 0.242589i | ||||
\(569\) | 17.9110 | + | 31.0228i | 0.750870 | + | 1.30054i | 0.947402 | + | 0.320047i | \(0.103699\pi\) |
−0.196532 | + | 0.980497i | \(0.562968\pi\) | |||||||
\(570\) | −0.186657 | + | 0.323300i | −0.00781822 | + | 0.0135416i | ||||
\(571\) | −17.2763 | + | 2.60399i | −0.722991 | + | 0.108973i | −0.500221 | − | 0.865898i | \(-0.666748\pi\) |
−0.222770 | + | 0.974871i | \(0.571510\pi\) | |||||||
\(572\) | −7.59484 | + | 7.04698i | −0.317556 | + | 0.294649i | ||||
\(573\) | 1.64410 | + | 0.791756i | 0.0686832 | + | 0.0330761i | ||||
\(574\) | 1.29311 | − | 0.165915i | 0.0539735 | − | 0.00692517i | ||||
\(575\) | −43.7753 | + | 21.0811i | −1.82556 | + | 0.879141i | ||||
\(576\) | 8.92801 | − | 22.7482i | 0.372000 | − | 0.947842i | ||||
\(577\) | −1.49494 | + | 19.9486i | −0.0622351 | + | 0.830470i | 0.875522 | + | 0.483178i | \(0.160518\pi\) |
−0.937757 | + | 0.347292i | \(0.887101\pi\) | |||||||
\(578\) | 16.6271 | + | 5.12878i | 0.691597 | + | 0.213329i | ||||
\(579\) | 0.264279 | + | 3.52656i | 0.0109831 | + | 0.146559i | ||||
\(580\) | −2.98320 | + | 13.0702i | −0.123870 | + | 0.542712i | ||||
\(581\) | −18.4760 | − | 33.6912i | −0.766515 | − | 1.39775i | ||||
\(582\) | 6.09667 | + | 26.7113i | 0.252715 | + | 1.10722i | ||||
\(583\) | 9.30398 | − | 2.86990i | 0.385331 | − | 0.118859i | ||||
\(584\) | −3.90799 | − | 9.95740i | −0.161714 | − | 0.412040i | ||||
\(585\) | −6.29360 | − | 5.83961i | −0.260208 | − | 0.241438i | ||||
\(586\) | 34.9283 | + | 23.8137i | 1.44287 | + | 0.983735i | ||||
\(587\) | −21.8460 | −0.901682 | −0.450841 | − | 0.892604i | \(-0.648876\pi\) | ||||
−0.450841 | + | 0.892604i | \(0.648876\pi\) | |||||||
\(588\) | 14.1912 | + | 0.624529i | 0.585233 | + | 0.0257551i | ||||
\(589\) | 0.460268 | 0.0189650 | ||||||||
\(590\) | −13.7941 | − | 9.40469i | −0.567896 | − | 0.387185i | ||||
\(591\) | −6.83005 | − | 6.33736i | −0.280951 | − | 0.260684i | ||||
\(592\) | 7.08380 | + | 18.0492i | 0.291143 | + | 0.741819i | ||||
\(593\) | −2.13500 | + | 0.658559i | −0.0876738 | + | 0.0270438i | −0.338282 | − | 0.941045i | \(-0.609846\pi\) |
0.250608 | + | 0.968089i | \(0.419369\pi\) | |||||||
\(594\) | −9.08042 | − | 39.7839i | −0.372574 | − | 1.63235i | ||||
\(595\) | −49.4541 | − | 8.57009i | −2.02742 | − | 0.351339i | ||||
\(596\) | 10.2990 | − | 45.1229i | 0.421864 | − | 1.84831i | ||||
\(597\) | 0.426065 | + | 5.68544i | 0.0174377 | + | 0.232690i | ||||
\(598\) | −10.5464 | − | 3.25312i | −0.431273 | − | 0.133030i | ||||
\(599\) | 1.13321 | − | 15.1216i | 0.0463016 | − | 0.617852i | −0.924995 | − | 0.379980i | \(-0.875931\pi\) |
0.971296 | − | 0.237873i | \(-0.0764500\pi\) | |||||||
\(600\) | 2.31669 | − | 5.90282i | 0.0945783 | − | 0.240982i | ||||
\(601\) | 14.8006 | − | 7.12759i | 0.603729 | − | 0.290740i | −0.106942 | − | 0.994265i | \(-0.534106\pi\) |
0.710671 | + | 0.703525i | \(0.248392\pi\) | |||||||
\(602\) | −36.1785 | + | 23.5177i | −1.47452 | + | 0.958511i | ||||
\(603\) | −7.37645 | − | 3.55231i | −0.300392 | − | 0.144661i | ||||
\(604\) | 2.11335 | − | 1.96090i | 0.0859911 | − | 0.0797881i | ||||
\(605\) | −29.2805 | + | 4.41333i | −1.19042 | + | 0.179427i | ||||
\(606\) | −3.22184 | + | 5.58038i | −0.130878 | + | 0.226688i | ||||
\(607\) | 2.80968 | + | 4.86651i | 0.114041 | + | 0.197526i | 0.917396 | − | 0.397975i | \(-0.130287\pi\) |
−0.803355 | + | 0.595501i | \(0.796954\pi\) | |||||||
\(608\) | −0.279497 | − | 0.350478i | −0.0113351 | − | 0.0142138i | ||||
\(609\) | −2.14731 | + | 2.57441i | −0.0870133 | + | 0.104320i | ||||
\(610\) | −71.1348 | + | 89.2003i | −2.88017 | + | 3.61161i | ||||
\(611\) | 7.06558 | + | 1.06496i | 0.285843 | + | 0.0430839i | ||||
\(612\) | 22.5815 | − | 15.3958i | 0.912804 | − | 0.622339i | ||||
\(613\) | 22.4551 | − | 15.3096i | 0.906952 | − | 0.618350i | −0.0174171 | − | 0.999848i | \(-0.505544\pi\) |
0.924369 | + | 0.381499i | \(0.124592\pi\) | |||||||
\(614\) | 3.22610 | + | 0.486256i | 0.130195 | + | 0.0196237i | ||||
\(615\) | 0.470445 | − | 0.589919i | 0.0189702 | − | 0.0237878i | ||||
\(616\) | 5.63142 | + | 7.38922i | 0.226896 | + | 0.297720i | ||||
\(617\) | −6.07927 | − | 7.62317i | −0.244742 | − | 0.306897i | 0.644254 | − | 0.764812i | \(-0.277168\pi\) |
−0.888996 | + | 0.457915i | \(0.848597\pi\) | |||||||
\(618\) | −9.33302 | − | 16.1653i | −0.375429 | − | 0.650262i | ||||
\(619\) | −3.87274 | + | 6.70778i | −0.155658 | + | 0.269608i | −0.933299 | − | 0.359101i | \(-0.883083\pi\) |
0.777640 | + | 0.628710i | \(0.216417\pi\) | |||||||
\(620\) | −73.6772 | + | 11.1051i | −2.95895 | + | 0.445990i | ||||
\(621\) | 17.3356 | − | 16.0851i | 0.695655 | − | 0.645473i | ||||
\(622\) | −14.5049 | − | 6.98521i | −0.581595 | − | 0.280081i | ||||
\(623\) | −19.1480 | + | 31.5426i | −0.767148 | + | 1.26373i | ||||
\(624\) | −2.35885 | + | 1.13596i | −0.0944295 | + | 0.0454748i | ||||
\(625\) | 5.08045 | − | 12.9448i | 0.203218 | − | 0.517791i | ||||
\(626\) | 0.751194 | − | 10.0240i | 0.0300238 | − | 0.400639i | ||||
\(627\) | −0.196126 | − | 0.0604968i | −0.00783251 | − | 0.00241601i | ||||
\(628\) | 0.180385 | + | 2.40707i | 0.00719813 | + | 0.0960524i | ||||
\(629\) | −7.05052 | + | 30.8903i | −0.281123 | + | 1.23168i | ||||
\(630\) | −35.5761 | + | 31.5829i | −1.41739 | + | 1.25829i | ||||
\(631\) | −4.53368 | − | 19.8634i | −0.180483 | − | 0.790748i | −0.981400 | − | 0.191973i | \(-0.938512\pi\) |
0.800917 | − | 0.598775i | \(-0.204346\pi\) | |||||||
\(632\) | 8.41587 | − | 2.59595i | 0.334766 | − | 0.103261i | ||||
\(633\) | 2.77709 | + | 7.07591i | 0.110379 | + | 0.281242i | ||||
\(634\) | −20.4002 | − | 18.9287i | −0.810197 | − | 0.751753i | ||||
\(635\) | 42.2838 | + | 28.8286i | 1.67798 | + | 1.14403i | ||||
\(636\) | −4.55051 | −0.180439 | ||||||||
\(637\) | 4.91707 | + | 4.98221i | 0.194821 | + | 0.197402i | ||||
\(638\) | −13.5485 | −0.536391 | ||||||||
\(639\) | 17.2009 | + | 11.7273i | 0.680455 | + | 0.463927i | ||||
\(640\) | 17.5511 | + | 16.2851i | 0.693770 | + | 0.643724i | ||||
\(641\) | −0.0182246 | − | 0.0464354i | −0.000719827 | − | 0.00183409i | 0.930513 | − | 0.366258i | \(-0.119361\pi\) |
−0.931233 | + | 0.364424i | \(0.881266\pi\) | |||||||
\(642\) | −34.9414 | + | 10.7780i | −1.37903 | + | 0.425374i | ||||
\(643\) | −1.93995 | − | 8.49949i | −0.0765043 | − | 0.335187i | 0.922163 | − | 0.386802i | \(-0.126420\pi\) |
−0.998667 | + | 0.0516148i | \(0.983563\pi\) | |||||||
\(644\) | −12.8327 | + | 30.6948i | −0.505679 | + | 1.20955i | ||||
\(645\) | −5.55717 | + | 24.3475i | −0.218813 | + | 0.958684i | ||||
\(646\) | −0.0437637 | − | 0.583986i | −0.00172186 | − | 0.0229766i | ||||
\(647\) | 21.0038 | + | 6.47881i | 0.825744 | + | 0.254708i | 0.678694 | − | 0.734421i | \(-0.262546\pi\) |
0.147050 | + | 0.989129i | \(0.453022\pi\) | |||||||
\(648\) | 0.182152 | − | 2.43065i | 0.00715559 | − | 0.0954848i | ||||
\(649\) | 3.35338 | − | 8.54428i | 0.131632 | − | 0.335392i | ||||
\(650\) | 17.3970 | − | 8.37796i | 0.682367 | − | 0.328610i | ||||
\(651\) | −17.6790 | − | 5.88198i | −0.692895 | − | 0.230533i | ||||
\(652\) | −30.0399 | − | 14.4665i | −1.17645 | − | 0.566551i | ||||
\(653\) | 35.8720 | − | 33.2843i | 1.40378 | − | 1.30252i | 0.505682 | − | 0.862720i | \(-0.331241\pi\) |
0.898097 | − | 0.439797i | \(-0.144950\pi\) | |||||||
\(654\) | 7.58617 | − | 1.14343i | 0.296643 | − | 0.0447117i | ||||
\(655\) | 15.1905 | − | 26.3107i | 0.593543 | − | 1.02805i | ||||
\(656\) | 0.362168 | + | 0.627294i | 0.0141403 | + | 0.0244917i | ||||
\(657\) | 18.7757 | + | 23.5440i | 0.732511 | + | 0.918540i | ||||
\(658\) | 9.65686 | − | 38.3971i | 0.376464 | − | 1.49688i | ||||
\(659\) | −11.0098 | + | 13.8058i | −0.428880 | + | 0.537799i | −0.948575 | − | 0.316553i | \(-0.897474\pi\) |
0.519695 | + | 0.854352i | \(0.326046\pi\) | |||||||
\(660\) | 32.8544 | + | 4.95201i | 1.27886 | + | 0.192757i | ||||
\(661\) | 26.2514 | − | 17.8979i | 1.02106 | − | 0.696148i | 0.0676152 | − | 0.997711i | \(-0.478461\pi\) |
0.953446 | + | 0.301564i | \(0.0975086\pi\) | |||||||
\(662\) | 13.8330 | − | 9.43117i | 0.537634 | − | 0.366553i | ||||
\(663\) | −4.23052 | − | 0.637649i | −0.164300 | − | 0.0247642i | ||||
\(664\) | −7.32313 | + | 9.18291i | −0.284192 | + | 0.356366i | ||||
\(665\) | 0.111482 | + | 0.543230i | 0.00432307 | + | 0.0210656i | ||||
\(666\) | 18.7244 | + | 23.4796i | 0.725556 | + | 0.909818i | ||||
\(667\) | −3.92583 | − | 6.79974i | −0.152009 | − | 0.263287i | ||||
\(668\) | −0.0152267 | + | 0.0263734i | −0.000589138 | + | 0.00102042i | ||||
\(669\) | −11.6362 | + | 1.75388i | −0.449882 | + | 0.0678088i | ||||
\(670\) | 20.8182 | − | 19.3165i | 0.804278 | − | 0.746261i | ||||
\(671\) | −56.5143 | − | 27.2159i | −2.18171 | − | 1.05066i | ||||
\(672\) | 6.25662 | + | 17.0338i | 0.241354 | + | 0.657092i | ||||
\(673\) | −25.8981 | + | 12.4719i | −0.998300 | + | 0.480756i | −0.860361 | − | 0.509685i | \(-0.829762\pi\) |
−0.137939 | + | 0.990441i | \(0.544048\pi\) | |||||||
\(674\) | −18.4427 | + | 46.9913i | −0.710387 | + | 1.81004i | ||||
\(675\) | −3.09191 | + | 41.2586i | −0.119008 | + | 1.58805i | ||||
\(676\) | 2.28015 | + | 0.703332i | 0.0876979 | + | 0.0270512i | ||||
\(677\) | −1.12600 | − | 15.0255i | −0.0432758 | − | 0.577475i | −0.976125 | − | 0.217209i | \(-0.930305\pi\) |
0.932849 | − | 0.360266i | \(-0.117314\pi\) | |||||||
\(678\) | 1.07552 | − | 4.71216i | 0.0413051 | − | 0.180969i | ||||
\(679\) | 33.1152 | + | 23.6606i | 1.27084 | + | 0.908012i | ||||
\(680\) | 3.41393 | + | 14.9574i | 0.130918 | + | 0.573590i | ||||
\(681\) | 13.0523 | − | 4.02611i | 0.500167 | − | 0.154281i | ||||
\(682\) | −27.5100 | − | 70.0944i | −1.05341 | − | 2.68405i | ||||
\(683\) | 29.8659 | + | 27.7115i | 1.14279 | + | 1.06035i | 0.997479 | + | 0.0709657i | \(0.0226081\pi\) |
0.145309 | + | 0.989386i | \(0.453582\pi\) | |||||||
\(684\) | −0.249498 | − | 0.170105i | −0.00953980 | − | 0.00650412i | ||||
\(685\) | −35.4650 | −1.35505 | ||||||||
\(686\) | 30.1104 | − | 24.4503i | 1.14962 | − | 0.933516i | ||||
\(687\) | −8.26580 | −0.315360 | ||||||||
\(688\) | −19.8084 | − | 13.5051i | −0.755188 | − | 0.514879i | ||||
\(689\) | −1.64382 | − | 1.52524i | −0.0626246 | − | 0.0581072i | ||||
\(690\) | 12.9308 | + | 32.9471i | 0.492267 | + | 1.25428i | ||||
\(691\) | 8.79342 | − | 2.71241i | 0.334517 | − | 0.103185i | −0.122946 | − | 0.992413i | \(-0.539234\pi\) |
0.457464 | + | 0.889228i | \(0.348758\pi\) | |||||||
\(692\) | 10.8573 | + | 47.5688i | 0.412732 | + | 1.80830i | ||||
\(693\) | −21.2809 | − | 15.2051i | −0.808395 | − | 0.577595i | ||||
\(694\) | 7.12931 | − | 31.2356i | 0.270625 | − | 1.18569i | ||||
\(695\) | 0.660175 | + | 8.80943i | 0.0250419 | + | 0.334161i | ||||
\(696\) | 0.979207 | + | 0.302045i | 0.0371168 | + | 0.0114490i | ||||
\(697\) | −0.0884541 | + | 1.18034i | −0.00335044 | + | 0.0447085i | ||||
\(698\) | 1.11267 | − | 2.83504i | 0.0421152 | − | 0.107308i | ||||
\(699\) | 5.64369 | − | 2.71786i | 0.213464 | − | 0.102799i | ||||
\(700\) | −20.0687 | − | 54.6373i | −0.758524 | − | 2.06509i | ||||
\(701\) | −9.52112 | − | 4.58513i | −0.359608 | − | 0.173178i | 0.245352 | − | 0.969434i | \(-0.421097\pi\) |
−0.604960 | + | 0.796256i | \(0.706811\pi\) | |||||||
\(702\) | −6.88946 | + | 6.39248i | −0.260026 | + | 0.241269i | ||||
\(703\) | 0.346167 | − | 0.0521763i | 0.0130560 | − | 0.00196787i | ||||
\(704\) | −23.3020 | + | 40.3603i | −0.878228 | + | 1.52114i | ||||
\(705\) | −11.4573 | − | 19.8447i | −0.431508 | − | 0.747395i | ||||
\(706\) | 8.04218 | + | 10.0846i | 0.302671 | + | 0.379538i | ||||
\(707\) | 1.92425 | + | 9.37652i | 0.0723688 | + | 0.352640i | ||||
\(708\) | −2.67466 | + | 3.35392i | −0.100520 | + | 0.126048i | ||||
\(709\) | 29.1701 | + | 4.39668i | 1.09551 | + | 0.165121i | 0.671839 | − | 0.740697i | \(-0.265505\pi\) |
0.423666 | + | 0.905818i | \(0.360743\pi\) | |||||||
\(710\) | −59.6653 | + | 40.6791i | −2.23920 | + | 1.52666i | ||||
\(711\) | −20.4858 | + | 13.9670i | −0.768278 | + | 0.523803i | ||||
\(712\) | 11.1532 | + | 1.68107i | 0.417984 | + | 0.0630009i | ||||
\(713\) | 27.2077 | − | 34.1173i | 1.01894 | − | 1.27770i | ||||
\(714\) | −5.78205 | + | 22.9903i | −0.216388 | + | 0.860391i | ||||
\(715\) | 10.2085 | + | 12.8010i | 0.381776 | + | 0.478732i | ||||
\(716\) | 16.8787 | + | 29.2347i | 0.630786 | + | 1.09255i | ||||
\(717\) | 8.06768 | − | 13.9736i | 0.301293 | − | 0.521855i | ||||
\(718\) | 49.1275 | − | 7.40478i | 1.83342 | − | 0.276344i | ||||
\(719\) | −1.60331 | + | 1.48766i | −0.0597934 | + | 0.0554802i | −0.709504 | − | 0.704702i | \(-0.751081\pi\) |
0.649710 | + | 0.760182i | \(0.274890\pi\) | |||||||
\(720\) | −23.8135 | − | 11.4680i | −0.887477 | − | 0.427387i | ||||
\(721\) | −26.3100 | − | 8.75359i | −0.979835 | − | 0.326001i | ||||
\(722\) | 35.8455 | − | 17.2623i | 1.33403 | − | 0.642436i | ||||
\(723\) | 3.01045 | − | 7.67051i | 0.111960 | − | 0.285269i | ||||
\(724\) | −3.13403 | + | 41.8207i | −0.116475 | + | 1.55425i | ||||
\(725\) | 13.1266 | + | 4.04901i | 0.487509 | + | 0.150376i | ||||
\(726\) | 1.04517 | + | 13.9469i | 0.0387900 | + | 0.517617i | ||||
\(727\) | 7.72050 | − | 33.8257i | 0.286338 | − | 1.25453i | −0.603172 | − | 0.797611i | \(-0.706097\pi\) |
0.889510 | − | 0.456916i | \(-0.151046\pi\) | |||||||
\(728\) | 0.825329 | − | 1.97413i | 0.0305887 | − | 0.0731660i | ||||
\(729\) | −1.02072 | − | 4.47208i | −0.0378045 | − | 0.165632i | ||||
\(730\) | −99.8167 | + | 30.7894i | −3.69438 | + | 1.13957i | ||||
\(731\) | −14.3128 | − | 36.4684i | −0.529378 | − | 1.34883i | ||||
\(732\) | 21.4901 | + | 19.9399i | 0.794297 | + | 0.736999i | ||||
\(733\) | −12.4058 | − | 8.45814i | −0.458219 | − | 0.312408i | 0.312120 | − | 0.950043i | \(-0.398961\pi\) |
−0.770339 | + | 0.637634i | \(0.779913\pi\) | |||||||
\(734\) | 77.0281 | 2.84316 | ||||||||
\(735\) | 2.66015 | − | 22.2903i | 0.0981213 | − | 0.822189i | ||||
\(736\) | −42.5010 | −1.56661 | ||||||||
\(737\) | 12.9006 | + | 8.79549i | 0.475200 | + | 0.323986i | ||||
\(738\) | 0.822405 | + | 0.763080i | 0.0302731 | + | 0.0280894i | ||||
\(739\) | 14.1409 | + | 36.0305i | 0.520182 | + | 1.32540i | 0.913813 | + | 0.406134i | \(0.133123\pi\) |
−0.393631 | + | 0.919268i | \(0.628781\pi\) | |||||||
\(740\) | −54.1538 | + | 16.7042i | −1.99073 | + | 0.614060i | ||||
\(741\) | 0.0105186 | + | 0.0460849i | 0.000386410 | + | 0.00169297i | ||||
\(742\) | −9.29211 | + | 8.24911i | −0.341124 | + | 0.302834i | ||||
\(743\) | −7.84831 | + | 34.3857i | −0.287927 | + | 1.26149i | 0.599438 | + | 0.800421i | \(0.295391\pi\) |
−0.887365 | + | 0.461068i | \(0.847466\pi\) | |||||||
\(744\) | 0.425605 | + | 5.67931i | 0.0156034 | + | 0.208213i | ||||
\(745\) | −69.8935 | − | 21.5593i | −2.56070 | − | 0.789871i | ||||
\(746\) | −0.109498 | + | 1.46115i | −0.00400901 | + | 0.0534965i | ||||
\(747\) | 12.0803 | − | 30.7801i | 0.441995 | − | 1.12619i | ||||
\(748\) | −46.9597 | + | 22.6146i | −1.71701 | + | 0.826871i | ||||
\(749\) | −28.1867 | + | 46.4321i | −1.02992 | + | 1.69659i | ||||
\(750\) | −25.5349 | − | 12.2970i | −0.932403 | − | 0.449022i | ||||
\(751\) | 4.68843 | − | 4.35022i | 0.171083 | − | 0.158742i | −0.589984 | − | 0.807415i | \(-0.700866\pi\) |
0.761067 | + | 0.648673i | \(0.224676\pi\) | |||||||
\(752\) | 21.7519 | − | 3.27857i | 0.793210 | − | 0.119557i | ||||
\(753\) | 8.80774 | − | 15.2554i | 0.320972 | − | 0.555939i | ||||
\(754\) | 1.56019 | + | 2.70232i | 0.0568187 | + | 0.0984129i | ||||
\(755\) | −2.84063 | − | 3.56204i | −0.103381 | − | 0.129636i | ||||
\(756\) | 17.1726 | + | 22.5328i | 0.624560 | + | 0.819511i | ||||
\(757\) | 3.50529 | − | 4.39549i | 0.127402 | − | 0.159757i | −0.714039 | − | 0.700106i | \(-0.753136\pi\) |
0.841441 | + | 0.540349i | \(0.181708\pi\) | |||||||
\(758\) | 31.4533 | + | 4.74082i | 1.14243 | + | 0.172194i | ||||
\(759\) | −16.0779 | + | 10.9617i | −0.583589 | + | 0.397884i | ||||
\(760\) | 0.140056 | − | 0.0954889i | 0.00508038 | − | 0.00346375i | ||||
\(761\) | −47.7370 | − | 7.19520i | −1.73047 | − | 0.260826i | −0.793080 | − | 0.609118i | \(-0.791524\pi\) |
−0.937386 | + | 0.348292i | \(0.886762\pi\) | |||||||
\(762\) | 15.0707 | − | 18.8981i | 0.545954 | − | 0.684605i | ||||
\(763\) | 7.29972 | − | 8.75165i | 0.264268 | − | 0.316831i | ||||
\(764\) | −3.19231 | − | 4.00303i | −0.115494 | − | 0.144825i | ||||
\(765\) | −21.5956 | − | 37.4047i | −0.780792 | − | 1.35237i | ||||
\(766\) | 4.19123 | − | 7.25943i | 0.151435 | − | 0.262294i | ||||
\(767\) | −2.09036 | + | 0.315072i | −0.0754787 | + | 0.0113766i | ||||
\(768\) | −5.09297 | + | 4.72559i | −0.183777 | + | 0.170520i | ||||
\(769\) | −34.1787 | − | 16.4596i | −1.23251 | − | 0.593548i | −0.299744 | − | 0.954020i | \(-0.596901\pi\) |
−0.932770 | + | 0.360472i | \(0.882616\pi\) | |||||||
\(770\) | 76.0655 | − | 49.4462i | 2.74121 | − | 1.78192i | ||||
\(771\) | −3.80742 | + | 1.83356i | −0.137121 | + | 0.0660339i | ||||
\(772\) | 3.62513 | − | 9.23667i | 0.130471 | − | 0.332435i | ||||
\(773\) | −3.06980 | + | 40.9637i | −0.110413 | + | 1.47336i | 0.616892 | + | 0.787048i | \(0.288391\pi\) |
−0.727305 | + | 0.686314i | \(0.759228\pi\) | |||||||
\(774\) | −35.4828 | − | 10.9450i | −1.27540 | − | 0.393410i | ||||
\(775\) | 5.70537 | + | 76.1328i | 0.204943 | + | 2.73477i | ||||
\(776\) | 2.76831 | − | 12.1288i | 0.0993766 | − | 0.435397i | ||||
\(777\) | −13.9632 | − | 2.41973i | −0.500926 | − | 0.0868072i | ||||
\(778\) | −16.4324 | − | 71.9951i | −0.589130 | − | 2.58115i | ||||
\(779\) | 0.0124968 | − | 0.00385477i | 0.000447746 | − | 0.000138111i | ||||
\(780\) | −2.79567 | − | 7.12324i | −0.100101 | − | 0.255053i | ||||
\(781\) | −29.1036 | − | 27.0042i | −1.04141 | − | 0.966286i | ||||
\(782\) | −45.8749 | − | 31.2770i | −1.64048 | − | 1.11846i | ||||
\(783\) | −6.68610 | −0.238942 | ||||||||
\(784\) | 18.9860 | + | 10.1948i | 0.678072 | + | 0.364099i | ||||
\(785\) | 3.81463 | 0.136150 | ||||||||
\(786\) | −11.8562 | − | 8.08339i | −0.422895 | − | 0.288325i | ||||
\(787\) | −8.17233 | − | 7.58281i | −0.291312 | − | 0.270298i | 0.520955 | − | 0.853584i | \(-0.325576\pi\) |
−0.812267 | + | 0.583286i | \(0.801767\pi\) | |||||||
\(788\) | 9.55093 | + | 24.3354i | 0.340238 | + | 0.866912i | ||||
\(789\) | 10.1127 | − | 3.11936i | 0.360022 | − | 0.111052i | ||||
\(790\) | −19.1377 | − | 83.8479i | −0.680890 | − | 2.98317i | ||||
\(791\) | −3.45232 | − | 6.29534i | −0.122750 | − | 0.223837i | ||||
\(792\) | −1.77901 | + | 7.79435i | −0.0632144 | + | 0.276960i | ||||
\(793\) | 1.07959 | + | 14.4061i | 0.0383374 | + | 0.511577i | ||||
\(794\) | 21.8110 | + | 6.72781i | 0.774044 | + | 0.238761i | ||||
\(795\) | −0.537407 | + | 7.17120i | −0.0190599 | + | 0.254336i | ||||
\(796\) | 5.84436 | − | 14.8912i | 0.207148 | − | 0.527804i | ||||
\(797\) | 11.2029 | − | 5.39502i | 0.396826 | − | 0.191102i | −0.224819 | − | 0.974401i | \(-0.572179\pi\) |
0.621645 | + | 0.783299i | \(0.286465\pi\) | |||||||
\(798\) | 0.259795 | − | 0.0333335i | 0.00919666 | − | 0.00117999i | ||||
\(799\) | 32.3867 | + | 15.5966i | 1.14576 | + | 0.551769i | ||||
\(800\) | 54.5079 | − | 50.5760i | 1.92715 | − | 1.78813i | ||||
\(801\) | −31.3987 | + | 4.73260i | −1.10942 | + | 0.167218i | ||||
\(802\) | 18.3488 | − | 31.7810i | 0.647918 | − | 1.12223i | ||||
\(803\) | −28.7147 | − | 49.7354i | −1.01332 | − | 1.75512i | ||||
\(804\) | −4.54977 | − | 5.70522i | −0.160458 | − | 0.201208i | ||||
\(805\) | 46.8569 | + | 23.8482i | 1.65149 | + | 0.840539i | ||||
\(806\) | −10.8128 | + | 13.5588i | −0.380863 | + | 0.477588i | ||||
\(807\) | 11.7396 | + | 1.76946i | 0.413255 | + | 0.0622881i | ||||
\(808\) | 2.41747 | − | 1.64820i | 0.0850463 | − | 0.0579836i | ||||
\(809\) | 2.32177 | − | 1.58296i | 0.0816291 | − | 0.0556538i | −0.521818 | − | 0.853057i | \(-0.674746\pi\) |
0.603447 | + | 0.797403i | \(0.293794\pi\) | |||||||
\(810\) | −23.5366 | − | 3.54757i | −0.826992 | − | 0.124649i | ||||
\(811\) | −10.5990 | + | 13.2908i | −0.372183 | + | 0.466703i | −0.932287 | − | 0.361720i | \(-0.882190\pi\) |
0.560104 | + | 0.828422i | \(0.310761\pi\) | |||||||
\(812\) | 8.56235 | − | 3.89385i | 0.300480 | − | 0.136647i | ||||
\(813\) | 3.15083 | + | 3.95101i | 0.110504 | + | 0.138568i | ||||
\(814\) | −28.6362 | − | 49.5994i | −1.00370 | − | 1.73846i | ||||
\(815\) | −26.3456 | + | 45.6318i | −0.922845 | + | 1.59841i | ||||
\(816\) | −13.0240 | + | 1.96305i | −0.455930 | + | 0.0687204i | ||||
\(817\) | −0.317303 | + | 0.294415i | −0.0111010 | + | 0.0103003i | ||||
\(818\) | 16.7740 | + | 8.07795i | 0.586491 | + | 0.282439i | ||||
\(819\) | −0.582127 | + | 5.99555i | −0.0203412 | + | 0.209501i | ||||
\(820\) | −1.90742 | + | 0.918567i | −0.0666101 | + | 0.0320777i | ||||
\(821\) | 17.3126 | − | 44.1117i | 0.604213 | − | 1.53951i | −0.221348 | − | 0.975195i | \(-0.571046\pi\) |
0.825560 | − | 0.564314i | \(-0.190859\pi\) | |||||||
\(822\) | −1.25179 | + | 16.7040i | −0.0436612 | + | 0.582618i | ||||
\(823\) | 8.32205 | + | 2.56701i | 0.290088 | + | 0.0894804i | 0.436384 | − | 0.899760i | \(-0.356259\pi\) |
−0.146296 | + | 0.989241i | \(0.546735\pi\) | |||||||
\(824\) | 0.633388 | + | 8.45197i | 0.0220651 | + | 0.294438i | ||||
\(825\) | 7.57564 | − | 33.1910i | 0.263750 | − | 1.15556i | ||||
\(826\) | 0.618307 | + | 11.6973i | 0.0215136 | + | 0.407001i | ||||
\(827\) | 1.53691 | + | 6.73365i | 0.0534437 | + | 0.234152i | 0.994595 | − | 0.103835i | \(-0.0331113\pi\) |
−0.941151 | + | 0.337987i | \(0.890254\pi\) | |||||||
\(828\) | −27.3575 | + | 8.43868i | −0.950740 | + | 0.293264i | ||||
\(829\) | 7.67326 | + | 19.5511i | 0.266503 | + | 0.679039i | 1.00000 | 0.000653823i | \(-0.000208118\pi\) | |
−0.733496 | + | 0.679693i | \(0.762113\pi\) | |||||||
\(830\) | 84.0787 | + | 78.0136i | 2.91841 | + | 2.70789i | ||||
\(831\) | −2.97469 | − | 2.02811i | −0.103191 | − | 0.0703543i | ||||
\(832\) | 10.7334 | 0.372115 | ||||||||
\(833\) | 16.2497 | + | 31.2418i | 0.563019 | + | 1.08247i | ||||
\(834\) | 4.17253 | 0.144483 | ||||||||
\(835\) | 0.0397639 | + | 0.0271106i | 0.00137609 | + | 0.000938200i | ||||
\(836\) | 0.422147 | + | 0.391695i | 0.0146003 | + | 0.0135471i | ||||
\(837\) | −13.5760 | − | 34.5911i | −0.469256 | − | 1.19564i | ||||
\(838\) | −10.6469 | + | 3.28415i | −0.367792 | + | 0.113449i | ||||
\(839\) | 2.46087 | + | 10.7818i | 0.0849586 | + | 0.372228i | 0.999478 | − | 0.0323146i | \(-0.0102878\pi\) |
−0.914519 | + | 0.404543i | \(0.867431\pi\) | |||||||
\(840\) | −6.59990 | + | 1.87790i | −0.227718 | + | 0.0647938i | ||||
\(841\) | 5.95914 | − | 26.1087i | 0.205487 | − | 0.900300i | ||||
\(842\) | 1.41187 | + | 18.8401i | 0.0486562 | + | 0.649272i | ||||
\(843\) | 16.4737 | + | 5.08147i | 0.567386 | + | 0.175015i | ||||
\(844\) | 1.59384 | − | 21.2683i | 0.0548623 | − | 0.732086i | ||||
\(845\) | 1.37767 | − | 3.51025i | 0.0473933 | − | 0.120756i | ||||
\(846\) | 30.6969 | − | 14.7829i | 1.05538 | − | 0.508246i | ||||
\(847\) | 14.9154 | + | 14.4626i | 0.512499 | + | 0.496942i | ||||
\(848\) | −6.21984 | − | 2.99532i | −0.213590 | − | 0.102860i | ||||
\(849\) | −18.5156 | + | 17.1799i | −0.635452 | + | 0.589613i | ||||
\(850\) | 96.0546 | − | 14.4779i | 3.29464 | − | 0.496588i | ||||
\(851\) | 16.5953 | − | 28.7439i | 0.568880 | − | 0.985329i | ||||
\(852\) | 9.27762 | + | 16.0693i | 0.317846 | + | 0.550526i | ||||
\(853\) | 20.8105 | + | 26.0955i | 0.712537 | + | 0.893493i | 0.997890 | − | 0.0649294i | \(-0.0206822\pi\) |
−0.285353 | + | 0.958423i | \(0.592111\pi\) | |||||||
\(854\) | 80.0294 | + | 1.76013i | 2.73855 | + | 0.0602304i | ||||
\(855\) | −0.297536 | + | 0.373098i | −0.0101755 | + | 0.0127597i | ||||
\(856\) | 16.4180 | + | 2.47462i | 0.561157 | + | 0.0845808i | ||||
\(857\) | 34.8638 | − | 23.7698i | 1.19093 | − | 0.811959i | 0.204938 | − | 0.978775i | \(-0.434301\pi\) |
0.985988 | + | 0.166816i | \(0.0533485\pi\) | |||||||
\(858\) | 6.38960 | − | 4.35635i | 0.218137 | − | 0.148723i | ||||
\(859\) | −40.0466 | − | 6.03606i | −1.36637 | − | 0.205948i | −0.575437 | − | 0.817846i | \(-0.695168\pi\) |
−0.790936 | + | 0.611898i | \(0.790406\pi\) | |||||||
\(860\) | 43.6888 | − | 54.7840i | 1.48978 | − | 1.86812i | ||||
\(861\) | −0.529269 | − | 0.0116405i | −0.0180374 | − | 0.000396706i | ||||
\(862\) | 32.5705 | + | 40.8422i | 1.10936 | + | 1.39109i | ||||
\(863\) | −6.97556 | − | 12.0820i | −0.237451 | − | 0.411277i | 0.722531 | − | 0.691338i | \(-0.242979\pi\) |
−0.959982 | + | 0.280061i | \(0.909645\pi\) | |||||||
\(864\) | −18.0959 | + | 31.3431i | −0.615636 | + | 1.06631i | ||||
\(865\) | 76.2466 | − | 11.4923i | 2.59246 | − | 0.390751i | ||||
\(866\) | −9.33376 | + | 8.66046i | −0.317174 | + | 0.294295i | ||||
\(867\) | −6.36593 | − | 3.06567i | −0.216198 | − | 0.104116i | ||||
\(868\) | 37.5309 | + | 36.3916i | 1.27388 | + | 1.23521i | ||||
\(869\) | 42.6015 | − | 20.5158i | 1.44516 | − | 0.695951i | ||||
\(870\) | 3.65589 | − | 9.31506i | 0.123946 | − | 0.315810i | ||||
\(871\) | 0.268730 | − | 3.58595i | 0.00910555 | − | 0.121505i | ||||
\(872\) | −3.32879 | − | 1.02680i | −0.112727 | − | 0.0347717i | ||||
\(873\) | 2.61729 | + | 34.9253i | 0.0885819 | + | 1.18204i | ||||
\(874\) | −0.136507 | + | 0.598076i | −0.00461742 | + | 0.0202302i | ||||
\(875\) | −40.4935 | + | 11.5218i | −1.36893 | + | 0.389509i | ||||
\(876\) | 5.97256 | + | 26.1675i | 0.201794 | + | 0.884118i | ||||
\(877\) | 17.6766 | − | 5.45249i | 0.596895 | − | 0.184118i | 0.0184371 | − | 0.999830i | \(-0.494131\pi\) |
0.578458 | + | 0.815712i | \(0.303655\pi\) | |||||||
\(878\) | −17.7552 | − | 45.2394i | −0.599207 | − | 1.52676i | ||||
\(879\) | −12.5836 | − | 11.6759i | −0.424435 | − | 0.393818i | ||||
\(880\) | 41.6473 | + | 28.3946i | 1.40393 | + | 0.957183i | ||||
\(881\) | 15.1227 | 0.509497 | 0.254749 | − | 0.967007i | \(-0.418007\pi\) | ||||
0.254749 | + | 0.967007i | \(0.418007\pi\) | |||||||
\(882\) | 32.7544 | + | 6.42098i | 1.10290 | + | 0.216206i | ||||
\(883\) | −14.4291 | −0.485578 | −0.242789 | − | 0.970079i | \(-0.578062\pi\) | ||||
−0.242789 | + | 0.970079i | \(0.578062\pi\) | |||||||
\(884\) | 9.91827 | + | 6.76216i | 0.333587 | + | 0.227436i | ||||
\(885\) | 4.96961 | + | 4.61113i | 0.167052 | + | 0.155001i | ||||
\(886\) | −15.2766 | − | 38.9242i | −0.513228 | − | 1.30768i | ||||
\(887\) | −34.7138 | + | 10.7078i | −1.16558 | + | 0.359532i | −0.816379 | − | 0.577517i | \(-0.804022\pi\) |
−0.349197 | + | 0.937049i | \(0.613546\pi\) | |||||||
\(888\) | 0.963908 | + | 4.22316i | 0.0323466 | + | 0.141720i | ||||
\(889\) | −1.89532 | − | 35.8562i | −0.0635671 | − | 1.20258i | ||||
\(890\) | 24.5094 | − | 107.383i | 0.821557 | − | 3.59948i | ||||
\(891\) | −0.977942 | − | 13.0497i | −0.0327623 | − | 0.437182i | ||||
\(892\) | 31.5509 | + | 9.73216i | 1.05640 | + | 0.325857i | ||||
\(893\) | 0.0296802 | − | 0.396055i | 0.000993210 | − | 0.0132535i | ||||
\(894\) | −12.6214 | + | 32.1588i | −0.422122 | + | 1.07555i | ||||
\(895\) | 48.0647 | − | 23.1467i | 1.60663 | − | 0.773710i | ||||
\(896\) | 1.62339 | − | 16.7200i | 0.0542338 | − | 0.558575i | ||||
\(897\) | 4.03782 | + | 1.94451i | 0.134819 | + | 0.0649254i | ||||
\(898\) | 31.2984 | − | 29.0407i | 1.04444 | − | 0.969099i | ||||
\(899\) | −12.1998 | + | 1.83882i | −0.406886 | + | 0.0613281i | ||||
\(900\) | 25.0443 | − | 43.3780i | 0.834810 | − | 1.44593i | ||||
\(901\) | −5.64055 | − | 9.76972i | −0.187914 | − | 0.325476i | ||||
\(902\) | −1.33397 | − | 1.67275i | −0.0444165 | − | 0.0556965i | ||||
\(903\) | 15.9502 | − | 7.25356i | 0.530788 | − | 0.241384i | ||||
\(904\) | −1.36836 | + | 1.71586i | −0.0455109 | + | 0.0570688i | ||||
\(905\) | 65.5357 | + | 9.87792i | 2.17848 | + | 0.328353i | ||||
\(906\) | −1.77798 | + | 1.21221i | −0.0590694 | + | 0.0402729i | ||||
\(907\) | −33.4972 | + | 22.8380i | −1.11226 | + | 0.758323i | −0.972740 | − | 0.231897i | \(-0.925507\pi\) |
−0.139515 | + | 0.990220i | \(0.544554\pi\) | |||||||
\(908\) | −37.8970 | − | 5.71205i | −1.25766 | − | 0.189561i | ||||
\(909\) | −5.13567 | + | 6.43993i | −0.170340 | + | 0.213599i | ||||
\(910\) | −18.6217 | − | 9.47766i | −0.617302 | − | 0.314181i | ||||
\(911\) | 28.2886 | + | 35.4728i | 0.937243 | + | 1.17527i | 0.984323 | + | 0.176374i | \(0.0564370\pi\) |
−0.0470801 | + | 0.998891i | \(0.514992\pi\) | |||||||
\(912\) | 0.0727621 | + | 0.126028i | 0.00240939 | + | 0.00417319i | ||||
\(913\) | −31.5295 | + | 54.6107i | −1.04347 | + | 1.80735i | ||||
\(914\) | −74.9824 | + | 11.3018i | −2.48020 | + | 0.373829i | ||||
\(915\) | 33.9615 | − | 31.5116i | 1.12273 | − | 1.04174i | ||||
\(916\) | 20.8955 | + | 10.0627i | 0.690407 | + | 0.332482i | ||||
\(917\) | −21.1426 | + | 2.71274i | −0.698191 | + | 0.0895827i | ||||
\(918\) | −42.5982 | + | 20.5142i | −1.40595 | + | 0.677070i | ||||
\(919\) | −15.1272 | + | 38.5434i | −0.499000 | + | 1.27143i | 0.430494 | + | 0.902593i | \(0.358339\pi\) |
−0.929494 | + | 0.368838i | \(0.879756\pi\) | |||||||
\(920\) | 1.20100 | − | 16.0263i | 0.0395959 | − | 0.528371i | ||||
\(921\) | −1.26596 | − | 0.390496i | −0.0417147 | − | 0.0128673i | ||||
\(922\) | 2.61688 | + | 34.9199i | 0.0861824 | + | 1.15002i | ||||
\(923\) | −2.03469 | + | 8.91455i | −0.0669726 | + | 0.293426i | ||||
\(924\) | −11.2091 | − | 20.4399i | −0.368753 | − | 0.672424i | ||||
\(925\) | 12.9215 | + | 56.6127i | 0.424856 | + | 1.86141i | ||||
\(926\) | 12.6838 | − | 3.91244i | 0.416816 | − | 0.128571i | ||||
\(927\) | −8.71736 | − | 22.2115i | −0.286316 | − | 0.729521i | ||||
\(928\) | 8.80850 | + | 8.17309i | 0.289153 | + | 0.268295i | ||||
\(929\) | −41.2822 | − | 28.1457i | −1.35442 | − | 0.923431i | −0.354492 | − | 0.935059i | \(-0.615346\pi\) |
−0.999932 | + | 0.0116279i | \(0.996299\pi\) | |||||||
\(930\) | 55.6154 | 1.82370 | ||||||||
\(931\) | 0.255730 | − | 0.293238i | 0.00838120 | − | 0.00961050i | ||||
\(932\) | −17.5757 | −0.575710 | ||||||||
\(933\) | 5.40145 | + | 3.68265i | 0.176836 | + | 0.120564i | ||||
\(934\) | −5.01281 | − | 4.65121i | −0.164024 | − | 0.152192i | ||||
\(935\) | 30.0927 | + | 76.6751i | 0.984138 | + | 2.50754i | ||||
\(936\) | 1.75949 | − | 0.542730i | 0.0575107 | − | 0.0177397i | ||||
\(937\) | 0.772900 | + | 3.38630i | 0.0252495 | + | 0.110625i | 0.985982 | − | 0.166850i | \(-0.0533595\pi\) |
−0.960733 | + | 0.277475i | \(0.910502\pi\) | |||||||
\(938\) | −19.6330 | − | 3.40227i | −0.641039 | − | 0.111088i | ||||
\(939\) | −0.908294 | + | 3.97950i | −0.0296411 | + | 0.129866i | ||||
\(940\) | 4.80471 | + | 64.1144i | 0.156712 | + | 2.09118i | ||||
\(941\) | 3.05565 | + | 0.942544i | 0.0996114 | + | 0.0307260i | 0.344160 | − | 0.938911i | \(-0.388164\pi\) |
−0.244549 | + | 0.969637i | \(0.578640\pi\) | |||||||
\(942\) | 0.134643 | − | 1.79669i | 0.00438691 | − | 0.0585392i | ||||
\(943\) | 0.452988 | − | 1.15419i | 0.0147513 | − | 0.0375857i | ||||
\(944\) | −5.86353 | + | 2.82373i | −0.190842 | + | 0.0919044i | ||||
\(945\) | 37.5378 | − | 24.4014i | 1.22110 | − | 0.793776i | ||||
\(946\) | 63.8016 | + | 30.7252i | 2.07437 | + | 0.998963i | ||||
\(947\) | 25.1086 | − | 23.2973i | 0.815918 | − | 0.757062i | −0.157151 | − | 0.987575i | \(-0.550231\pi\) |
0.973069 | + | 0.230513i | \(0.0740404\pi\) | |||||||
\(948\) | −21.8520 | + | 3.29367i | −0.709721 | + | 0.106973i | ||||
\(949\) | −6.61333 | + | 11.4546i | −0.214678 | + | 0.371833i | ||||
\(950\) | −0.536636 | − | 0.929481i | −0.0174108 | − | 0.0301564i | ||||
\(951\) | 7.04577 | + | 8.83512i | 0.228475 | + | 0.286498i | ||||
\(952\) | 6.89485 | − | 8.26625i | 0.223463 | − | 0.267911i | ||||
\(953\) | 36.9070 | − | 46.2799i | 1.19553 | − | 1.49915i | 0.375514 | − | 0.926817i | \(-0.377466\pi\) |
0.820020 | − | 0.572335i | \(-0.193962\pi\) | |||||||
\(954\) | −10.5731 | − | 1.59364i | −0.342316 | − | 0.0515959i | ||||
\(955\) | −6.68544 | + | 4.55806i | −0.216336 | + | 0.147495i | ||||
\(956\) | −37.4061 | + | 25.5030i | −1.20980 | + | 0.824827i | ||||
\(957\) | 5.44017 | + | 0.819974i | 0.175856 | + | 0.0265060i | ||||
\(958\) | 5.19842 | − | 6.51861i | 0.167953 | − | 0.210607i | ||||
\(959\) | 15.0827 | + | 19.7907i | 0.487047 | + | 0.639075i | ||||
\(960\) | −21.4613 | − | 26.9116i | −0.692660 | − | 0.868569i | ||||
\(961\) | −18.7847 | − | 32.5361i | −0.605959 | − | 1.04955i | ||||
\(962\) | −6.59525 | + | 11.4233i | −0.212639 | + | 0.368302i | ||||
\(963\) | −46.2204 | + | 6.96660i | −1.48943 | + | 0.224496i | ||||
\(964\) | −16.9483 | + | 15.7257i | −0.545868 | + | 0.506491i | ||||
\(965\) | −14.1281 | − | 6.80372i | −0.454799 | − | 0.219020i | ||||
\(966\) | 12.8864 | − | 21.2278i | 0.414612 | − | 0.682992i | ||||
\(967\) | 7.51752 | − | 3.62025i | 0.241747 | − | 0.116419i | −0.309088 | − | 0.951034i | \(-0.600024\pi\) |
0.550835 | + | 0.834614i | \(0.314309\pi\) | |||||||
\(968\) | 2.32014 | − | 5.91161i | 0.0745720 | − | 0.190006i | ||||
\(969\) | −0.0177710 | + | 0.237138i | −0.000570888 | + | 0.00761797i | ||||
\(970\) | −116.089 | − | 35.8088i | −3.72740 | − | 1.14975i | ||||
\(971\) | 2.36814 | + | 31.6006i | 0.0759971 | + | 1.01411i | 0.896666 | + | 0.442707i | \(0.145982\pi\) |
−0.820669 | + | 0.571404i | \(0.806399\pi\) | |||||||
\(972\) | −8.50920 | + | 37.2812i | −0.272933 | + | 1.19580i | ||||
\(973\) | 4.63520 | − | 4.11492i | 0.148598 | − | 0.131918i | ||||
\(974\) | −8.93776 | − | 39.1589i | −0.286384 | − | 1.25473i | ||||
\(975\) | −7.49251 | + | 2.31113i | −0.239952 | + | 0.0740155i | ||||
\(976\) | 16.2484 | + | 41.4003i | 0.520100 | + | 1.32519i | ||||
\(977\) | 31.7485 | + | 29.4583i | 1.01572 | + | 0.942454i | 0.998352 | − | 0.0573953i | \(-0.0182795\pi\) |
0.0173721 | + | 0.999849i | \(0.494470\pi\) | |||||||
\(978\) | 20.5626 | + | 14.0194i | 0.657521 | + | 0.448290i | ||||
\(979\) | 60.5560 | 1.93538 | ||||||||
\(980\) | −33.8608 | + | 53.1101i | −1.08164 | + | 1.69654i | ||||
\(981\) | 9.80697 | 0.313113 | ||||||||
\(982\) | −63.6981 | − | 43.4286i | −2.03269 | − | 1.38586i | ||||
\(983\) | 38.3034 | + | 35.5404i | 1.22169 | + | 1.13356i | 0.986869 | + | 0.161523i | \(0.0516407\pi\) |
0.234821 | + | 0.972039i | \(0.424550\pi\) | |||||||
\(984\) | 0.0591202 | + | 0.150636i | 0.00188468 | + | 0.00480209i | ||||
\(985\) | 39.4784 | − | 12.1775i | 1.25789 | − | 0.388006i | ||||
\(986\) | 3.49308 | + | 15.3042i | 0.111242 | + | 0.487385i | ||||
\(987\) | −6.20139 | + | 14.8333i | −0.197392 | + | 0.472148i | ||||
\(988\) | 0.0295131 | − | 0.129305i | 0.000938937 | − | 0.00411375i | ||||
\(989\) | 3.06681 | + | 40.9237i | 0.0975189 | + | 1.30130i | ||||
\(990\) | 74.6028 | + | 23.0119i | 2.37103 | + | 0.731367i | ||||
\(991\) | 2.11103 | − | 28.1697i | 0.0670590 | − | 0.894840i | −0.857667 | − | 0.514206i | \(-0.828087\pi\) |
0.924726 | − | 0.380634i | \(-0.124294\pi\) | |||||||
\(992\) | −24.3987 | + | 62.1668i | −0.774659 | + | 1.97380i | ||||
\(993\) | −6.12518 | + | 2.94973i | −0.194377 | + | 0.0936069i | ||||
\(994\) | 48.0751 | + | 15.9951i | 1.52485 | + | 0.507333i | ||||
\(995\) | −22.7770 | − | 10.9688i | −0.722079 | − | 0.347735i | ||||
\(996\) | 21.6041 | − | 20.0457i | 0.684552 | − | 0.635172i | ||||
\(997\) | −33.1252 | + | 4.99281i | −1.04908 | + | 0.158124i | −0.650886 | − | 0.759175i | \(-0.725602\pi\) |
−0.398198 | + | 0.917299i | \(0.630364\pi\) | |||||||
\(998\) | 40.4645 | − | 70.0865i | 1.28088 | − | 2.21855i | ||||
\(999\) | −14.1318 | − | 24.4770i | −0.447110 | − | 0.774417i |
(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 | 637.2.bl.a.53.24 | ✓ | 324 | |
49.37 | even | 21 | inner | 637.2.bl.a.625.24 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.53.24 | ✓ | 324 | 1.1 | even | 1 | trivial | |
637.2.bl.a.625.24 | yes | 324 | 49.37 | even | 21 | inner |