Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,4,Mod(5,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 29]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.o (of order \(42\), 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: | \(8.67328077084\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.49 | ||
Character | \(\chi\) | \(=\) | 147.101 |
Dual form | 147.4.o.a.131.49 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.32320 | + | 1.69673i | 1.52848 | + | 0.599884i | 0.972828 | − | 0.231530i | \(-0.0743732\pi\) |
0.555653 | + | 0.831415i | \(0.312468\pi\) | |||||||
\(3\) | 5.19287 | + | 0.184765i | 0.999368 | + | 0.0355581i | ||||
\(4\) | 9.94671 | + | 9.22920i | 1.24334 | + | 1.15365i | ||||
\(5\) | −7.56055 | − | 5.15469i | −0.676236 | − | 0.461050i | 0.175874 | − | 0.984413i | \(-0.443725\pi\) |
−0.852110 | + | 0.523363i | \(0.824677\pi\) | |||||||
\(6\) | 22.1363 | + | 9.60966i | 1.50618 | + | 0.653855i | ||||
\(7\) | 16.1590 | + | 9.04908i | 0.872505 | + | 0.488605i | ||||
\(8\) | 11.2217 | + | 23.3020i | 0.495932 | + | 1.02981i | ||||
\(9\) | 26.9317 | + | 1.91892i | 0.997471 | + | 0.0710712i | ||||
\(10\) | −23.9396 | − | 35.1129i | −0.757037 | − | 1.11037i | ||||
\(11\) | −4.18891 | − | 27.7916i | −0.114818 | − | 0.761771i | −0.969940 | − | 0.243343i | \(-0.921756\pi\) |
0.855122 | − | 0.518427i | \(-0.173482\pi\) | |||||||
\(12\) | 49.9467 | + | 49.7638i | 1.20153 | + | 1.19713i | ||||
\(13\) | −55.3068 | + | 44.1057i | −1.17995 | + | 0.940978i | −0.999095 | − | 0.0425317i | \(-0.986458\pi\) |
−0.180854 | + | 0.983510i | \(0.557886\pi\) | |||||||
\(14\) | 54.5048 | + | 66.5384i | 1.04050 | + | 1.27022i | ||||
\(15\) | −38.3085 | − | 28.1646i | −0.659414 | − | 0.484804i | ||||
\(16\) | 0.864176 | + | 11.5316i | 0.0135028 | + | 0.180182i | ||||
\(17\) | 76.7608 | + | 23.6776i | 1.09513 | + | 0.337803i | 0.789129 | − | 0.614228i | \(-0.210532\pi\) |
0.306002 | + | 0.952031i | \(0.401009\pi\) | |||||||
\(18\) | 113.175 | + | 53.9917i | 1.48198 | + | 0.706998i | ||||
\(19\) | −73.4757 | + | 42.4212i | −0.887183 | + | 0.512215i | −0.873020 | − | 0.487684i | \(-0.837842\pi\) |
−0.0141629 | + | 0.999900i | \(0.504508\pi\) | |||||||
\(20\) | −27.6289 | − | 121.050i | −0.308900 | − | 1.35338i | ||||
\(21\) | 82.2397 | + | 49.9763i | 0.854580 | + | 0.519320i | ||||
\(22\) | 29.0453 | − | 127.256i | 0.281477 | − | 1.23323i | ||||
\(23\) | −41.5542 | − | 134.715i | −0.376724 | − | 1.22131i | −0.923359 | − | 0.383938i | \(-0.874568\pi\) |
0.546635 | − | 0.837371i | \(-0.315909\pi\) | |||||||
\(24\) | 53.9672 | + | 123.078i | 0.459000 | + | 1.04680i | ||||
\(25\) | −15.0766 | − | 38.4146i | −0.120613 | − | 0.307317i | ||||
\(26\) | −313.937 | + | 96.8369i | −2.36801 | + | 0.730434i | ||||
\(27\) | 139.498 | + | 14.9408i | 0.994313 | + | 0.106494i | ||||
\(28\) | 77.2134 | + | 239.143i | 0.521141 | + | 1.61407i | ||||
\(29\) | −275.699 | + | 62.9265i | −1.76538 | + | 0.402936i | −0.977168 | − | 0.212469i | \(-0.931850\pi\) |
−0.788211 | + | 0.615405i | \(0.788993\pi\) | |||||||
\(30\) | −117.827 | − | 186.760i | −0.717075 | − | 1.13659i | ||||
\(31\) | −99.1330 | − | 57.2345i | −0.574349 | − | 0.331601i | 0.184535 | − | 0.982826i | \(-0.440922\pi\) |
−0.758884 | + | 0.651225i | \(0.774255\pi\) | |||||||
\(32\) | 45.1567 | − | 146.394i | 0.249458 | − | 0.808722i | ||||
\(33\) | −16.6175 | − | 145.092i | −0.0876587 | − | 0.765372i | ||||
\(34\) | 291.677 | + | 232.605i | 1.47124 | + | 1.17328i | ||||
\(35\) | −75.5258 | − | 151.711i | −0.364748 | − | 0.732680i | ||||
\(36\) | 250.172 | + | 267.645i | 1.15820 | + | 1.23910i | ||||
\(37\) | 172.357 | − | 159.924i | 0.765821 | − | 0.710578i | −0.197093 | − | 0.980385i | \(-0.563150\pi\) |
0.962915 | + | 0.269806i | \(0.0869597\pi\) | |||||||
\(38\) | −389.627 | + | 58.7268i | −1.66331 | + | 0.250704i | ||||
\(39\) | −295.350 | + | 218.816i | −1.21266 | + | 0.898426i | ||||
\(40\) | 35.2729 | − | 234.020i | 0.139428 | − | 0.925047i | ||||
\(41\) | 205.165 | − | 98.8021i | 0.781496 | − | 0.376349i | −0.000206755 | − | 1.00000i | \(-0.500066\pi\) |
0.781703 | + | 0.623651i | \(0.214352\pi\) | |||||||
\(42\) | 270.742 | + | 355.596i | 0.994676 | + | 1.30642i | ||||
\(43\) | 224.640 | + | 108.181i | 0.796681 | + | 0.383661i | 0.787514 | − | 0.616297i | \(-0.211368\pi\) |
0.00916690 | + | 0.999958i | \(0.497082\pi\) | |||||||
\(44\) | 214.828 | − | 315.095i | 0.736059 | − | 1.07960i | ||||
\(45\) | −193.727 | − | 153.333i | −0.641758 | − | 0.507945i | ||||
\(46\) | 48.9286 | − | 652.907i | 0.156829 | − | 2.09274i | ||||
\(47\) | −145.063 | + | 369.615i | −0.450205 | + | 1.14710i | 0.508086 | + | 0.861307i | \(0.330353\pi\) |
−0.958290 | + | 0.285797i | \(0.907742\pi\) | |||||||
\(48\) | 2.35691 | + | 60.0419i | 0.00708730 | + | 0.180548i | ||||
\(49\) | 179.228 | + | 292.449i | 0.522531 | + | 0.852620i | ||||
\(50\) | − | 191.655i | − | 0.542082i | ||||||
\(51\) | 394.234 | + | 137.137i | 1.08243 | + | 0.376530i | ||||
\(52\) | −957.181 | − | 71.7308i | −2.55264 | − | 0.191294i | ||||
\(53\) | −14.1764 | + | 15.2785i | −0.0367411 | + | 0.0395975i | −0.751155 | − | 0.660126i | \(-0.770503\pi\) |
0.714414 | + | 0.699723i | \(0.246693\pi\) | |||||||
\(54\) | 577.728 | + | 301.283i | 1.45590 | + | 0.759248i | ||||
\(55\) | −111.587 | + | 231.712i | −0.273570 | + | 0.568074i | ||||
\(56\) | −29.5308 | + | 478.084i | −0.0704682 | + | 1.14083i | ||||
\(57\) | −389.387 | + | 206.712i | −0.904835 | + | 0.480345i | ||||
\(58\) | −1298.67 | − | 195.743i | −2.94006 | − | 0.443143i | ||||
\(59\) | −237.570 | + | 161.972i | −0.524219 | + | 0.357407i | −0.796333 | − | 0.604859i | \(-0.793230\pi\) |
0.272114 | + | 0.962265i | \(0.412277\pi\) | |||||||
\(60\) | −121.107 | − | 633.702i | −0.260581 | − | 1.36351i | ||||
\(61\) | −261.381 | − | 281.701i | −0.548629 | − | 0.591282i | 0.396477 | − | 0.918045i | \(-0.370233\pi\) |
−0.945106 | + | 0.326763i | \(0.894042\pi\) | |||||||
\(62\) | −331.460 | − | 415.638i | −0.678959 | − | 0.851388i | ||||
\(63\) | 417.826 | + | 274.715i | 0.835573 | + | 0.549379i | ||||
\(64\) | 501.293 | − | 628.601i | 0.979088 | − | 1.22774i | ||||
\(65\) | 645.501 | − | 48.3736i | 1.23176 | − | 0.0923078i | ||||
\(66\) | 174.341 | − | 655.456i | 0.325150 | − | 1.22244i | ||||
\(67\) | −124.461 | + | 215.573i | −0.226945 | + | 0.393081i | −0.956901 | − | 0.290413i | \(-0.906207\pi\) |
0.729956 | + | 0.683494i | \(0.239540\pi\) | |||||||
\(68\) | 544.992 | + | 943.954i | 0.971912 | + | 1.68340i | ||||
\(69\) | −190.895 | − | 707.237i | −0.333058 | − | 1.23393i | ||||
\(70\) | −69.1007 | − | 784.022i | −0.117987 | − | 1.33869i | ||||
\(71\) | 240.543 | + | 54.9023i | 0.402073 | + | 0.0917705i | 0.418775 | − | 0.908090i | \(-0.362460\pi\) |
−0.0167022 | + | 0.999861i | \(0.505317\pi\) | |||||||
\(72\) | 257.504 | + | 649.097i | 0.421488 | + | 1.06246i | ||||
\(73\) | 560.360 | − | 219.925i | 0.898426 | − | 0.352606i | 0.129227 | − | 0.991615i | \(-0.458750\pi\) |
0.769200 | + | 0.639009i | \(0.220655\pi\) | |||||||
\(74\) | 1016.48 | − | 398.940i | 1.59681 | − | 0.626701i | ||||
\(75\) | −71.1932 | − | 202.268i | −0.109609 | − | 0.311411i | ||||
\(76\) | −1122.36 | − | 256.170i | −1.69399 | − | 0.386641i | ||||
\(77\) | 183.800 | − | 486.991i | 0.272025 | − | 0.720750i | ||||
\(78\) | −1648.13 | + | 444.856i | −2.39248 | + | 0.645770i | ||||
\(79\) | 311.862 | + | 540.161i | 0.444142 | + | 0.769277i | 0.997992 | − | 0.0633396i | \(-0.0201751\pi\) |
−0.553850 | + | 0.832617i | \(0.686842\pi\) | |||||||
\(80\) | 52.9084 | − | 91.6400i | 0.0739417 | − | 0.128071i | ||||
\(81\) | 721.635 | + | 103.360i | 0.989898 | + | 0.141783i | ||||
\(82\) | 1054.61 | − | 79.0319i | 1.42027 | − | 0.106434i | ||||
\(83\) | −220.317 | + | 276.268i | −0.291360 | + | 0.365354i | −0.905871 | − | 0.423555i | \(-0.860782\pi\) |
0.614510 | + | 0.788909i | \(0.289354\pi\) | |||||||
\(84\) | 356.773 | + | 1256.11i | 0.463419 | + | 1.63158i | ||||
\(85\) | −458.303 | − | 574.693i | −0.584822 | − | 0.733344i | ||||
\(86\) | 787.609 | + | 848.841i | 0.987559 | + | 1.06434i | ||||
\(87\) | −1443.29 | + | 275.829i | −1.77859 | + | 0.339908i | ||||
\(88\) | 600.594 | − | 409.478i | 0.727540 | − | 0.496028i | ||||
\(89\) | −397.542 | − | 59.9199i | −0.473476 | − | 0.0713651i | −0.0920304 | − | 0.995756i | \(-0.529336\pi\) |
−0.381446 | + | 0.924391i | \(0.624574\pi\) | |||||||
\(90\) | −577.356 | − | 991.590i | −0.676207 | − | 1.16136i | ||||
\(91\) | −1292.82 | + | 212.229i | −1.48928 | + | 0.244480i | ||||
\(92\) | 829.988 | − | 1723.49i | 0.940568 | − | 1.95311i | ||||
\(93\) | −504.210 | − | 315.527i | −0.562195 | − | 0.351814i | ||||
\(94\) | −1254.27 | + | 1351.78i | −1.37626 | + | 1.48325i | ||||
\(95\) | 774.185 | + | 58.0171i | 0.836102 | + | 0.0626572i | ||||
\(96\) | 261.541 | − | 751.863i | 0.278057 | − | 0.799341i | ||||
\(97\) | 393.436i | 0.411828i | 0.978570 | + | 0.205914i | \(0.0660168\pi\) | ||||
−0.978570 | + | 0.205914i | \(0.933983\pi\) | |||||||
\(98\) | 278.632 | + | 1568.41i | 0.287205 | + | 1.61667i | ||||
\(99\) | −59.4846 | − | 756.513i | −0.0603882 | − | 0.768005i | ||||
\(100\) | 204.573 | − | 521.244i | 0.204573 | − | 0.521244i | ||||
\(101\) | −100.793 | + | 1344.99i | −0.0993000 | + | 1.32507i | 0.695645 | + | 0.718386i | \(0.255119\pi\) |
−0.794945 | + | 0.606681i | \(0.792500\pi\) | |||||||
\(102\) | 1471.66 | + | 1261.78i | 1.42859 | + | 1.22485i | ||||
\(103\) | 726.474 | − | 1065.54i | 0.694967 | − | 1.01933i | −0.302833 | − | 0.953044i | \(-0.597933\pi\) |
0.997801 | − | 0.0662862i | \(-0.0211150\pi\) | |||||||
\(104\) | −1648.39 | − | 793.821i | −1.55421 | − | 0.748467i | ||||
\(105\) | −364.165 | − | 801.769i | −0.338465 | − | 0.745187i | ||||
\(106\) | −87.2109 | + | 41.9985i | −0.0799120 | + | 0.0384836i | ||||
\(107\) | 28.4236 | − | 188.578i | 0.0256805 | − | 0.170379i | −0.972314 | − | 0.233678i | \(-0.924924\pi\) |
0.997995 | + | 0.0632988i | \(0.0201621\pi\) | |||||||
\(108\) | 1249.66 | + | 1436.07i | 1.11341 | + | 1.27950i | ||||
\(109\) | 561.765 | − | 84.6724i | 0.493645 | − | 0.0744050i | 0.102498 | − | 0.994733i | \(-0.467316\pi\) |
0.391147 | + | 0.920328i | \(0.372078\pi\) | |||||||
\(110\) | −875.564 | + | 812.404i | −0.758925 | + | 0.704179i | ||||
\(111\) | 924.578 | − | 798.620i | 0.790604 | − | 0.682898i | ||||
\(112\) | −90.3864 | + | 194.160i | −0.0762564 | + | 0.163807i | ||||
\(113\) | −987.842 | − | 787.777i | −0.822375 | − | 0.655822i | 0.119109 | − | 0.992881i | \(-0.461996\pi\) |
−0.941483 | + | 0.337059i | \(0.890568\pi\) | |||||||
\(114\) | −2034.13 | + | 232.971i | −1.67117 | + | 0.191401i | ||||
\(115\) | −380.244 | + | 1232.72i | −0.308330 | + | 0.999582i | ||||
\(116\) | −3323.06 | − | 1918.57i | −2.65981 | − | 1.53564i | ||||
\(117\) | −1574.14 | + | 1081.71i | −1.24384 | + | 0.854738i | ||||
\(118\) | −1301.88 | + | 297.146i | −1.01566 | + | 0.231818i | ||||
\(119\) | 1026.12 | + | 1077.22i | 0.790455 | + | 0.829821i | ||||
\(120\) | 226.406 | − | 1208.72i | 0.172233 | − | 0.919504i | ||||
\(121\) | 517.042 | − | 159.486i | 0.388461 | − | 0.119824i | ||||
\(122\) | −652.029 | − | 1661.34i | −0.483868 | − | 1.23288i | ||||
\(123\) | 1083.65 | − | 475.159i | 0.794384 | − | 0.348322i | ||||
\(124\) | −457.819 | − | 1484.21i | −0.331560 | − | 1.07489i | ||||
\(125\) | −338.552 | + | 1483.29i | −0.242248 | + | 1.06136i | ||||
\(126\) | 1340.23 | + | 1896.59i | 0.947594 | + | 1.34096i | ||||
\(127\) | 352.039 | + | 1542.38i | 0.245972 | + | 1.07767i | 0.935476 | + | 0.353390i | \(0.114971\pi\) |
−0.689504 | + | 0.724281i | \(0.742172\pi\) | |||||||
\(128\) | 2172.35 | − | 1254.21i | 1.50008 | − | 0.866072i | ||||
\(129\) | 1146.54 | + | 603.275i | 0.782535 | + | 0.411747i | ||||
\(130\) | 2872.70 | + | 886.111i | 1.93810 | + | 0.597824i | ||||
\(131\) | 78.7208 | + | 1050.46i | 0.0525028 | + | 0.700601i | 0.959903 | + | 0.280333i | \(0.0904449\pi\) |
−0.907400 | + | 0.420268i | \(0.861936\pi\) | |||||||
\(132\) | 1173.79 | − | 1596.55i | 0.773982 | − | 1.05274i | ||||
\(133\) | −1571.17 | + | 20.5979i | −1.02434 | + | 0.0134290i | ||||
\(134\) | −903.838 | + | 720.786i | −0.582684 | + | 0.464675i | ||||
\(135\) | −977.668 | − | 832.031i | −0.623291 | − | 0.530443i | ||||
\(136\) | 309.648 | + | 2054.38i | 0.195236 | + | 1.29531i | ||||
\(137\) | 1735.00 | + | 2544.78i | 1.08198 | + | 1.58697i | 0.771316 | + | 0.636452i | \(0.219599\pi\) |
0.310663 | + | 0.950520i | \(0.399449\pi\) | |||||||
\(138\) | 374.714 | − | 3381.42i | 0.231144 | − | 2.08584i | ||||
\(139\) | −368.585 | − | 765.375i | −0.224914 | − | 0.467038i | 0.757723 | − | 0.652576i | \(-0.226312\pi\) |
−0.982637 | + | 0.185538i | \(0.940597\pi\) | |||||||
\(140\) | 648.936 | − | 2206.07i | 0.391751 | − | 1.33176i | ||||
\(141\) | −821.585 | + | 1892.56i | −0.490709 | + | 1.13037i | ||||
\(142\) | 946.759 | + | 645.489i | 0.559509 | + | 0.381467i | ||||
\(143\) | 1457.44 | + | 1352.31i | 0.852290 | + | 0.790809i | ||||
\(144\) | 1.14545 | + | 312.225i | 0.000662878 | + | 0.180686i | ||||
\(145\) | 2408.80 | + | 945.385i | 1.37959 | + | 0.541448i | ||||
\(146\) | 2795.70 | 1.58475 | ||||||||
\(147\) | 876.674 | + | 1551.76i | 0.491883 | + | 0.870661i | ||||
\(148\) | 3190.36 | 1.77193 | ||||||||
\(149\) | 961.615 | + | 377.406i | 0.528715 | + | 0.207505i | 0.614657 | − | 0.788795i | \(-0.289295\pi\) |
−0.0859415 | + | 0.996300i | \(0.527390\pi\) | |||||||
\(150\) | 35.4112 | − | 995.238i | 0.0192754 | − | 0.541739i | ||||
\(151\) | −1250.66 | − | 1160.45i | −0.674024 | − | 0.625403i | 0.267019 | − | 0.963691i | \(-0.413961\pi\) |
−0.941042 | + | 0.338289i | \(0.890152\pi\) | |||||||
\(152\) | −1813.02 | − | 1236.10i | −0.967469 | − | 0.659609i | ||||
\(153\) | 2021.86 | + | 784.975i | 1.06835 | + | 0.414781i | ||||
\(154\) | 1620.89 | − | 1793.50i | 0.848151 | − | 0.938469i | ||||
\(155\) | 454.474 | + | 943.724i | 0.235511 | + | 0.489044i | ||||
\(156\) | −4957.26 | − | 549.342i | −2.54422 | − | 0.281940i | ||||
\(157\) | 218.318 | + | 320.214i | 0.110979 | + | 0.162776i | 0.877710 | − | 0.479192i | \(-0.159070\pi\) |
−0.766731 | + | 0.641969i | \(0.778118\pi\) | |||||||
\(158\) | 431.734 | + | 2864.37i | 0.217386 | + | 1.44226i | ||||
\(159\) | −76.4391 | + | 76.7200i | −0.0381259 | + | 0.0382660i | ||||
\(160\) | −1096.03 | + | 874.053i | −0.541554 | + | 0.431875i | ||||
\(161\) | 547.576 | − | 2552.90i | 0.268043 | − | 1.24967i | ||||
\(162\) | 2944.40 | + | 1671.26i | 1.42799 | + | 0.810537i | ||||
\(163\) | 96.1134 | + | 1282.54i | 0.0461851 | + | 0.616298i | 0.971491 | + | 0.237076i | \(0.0761892\pi\) |
−0.925306 | + | 0.379222i | \(0.876192\pi\) | |||||||
\(164\) | 2952.58 | + | 910.749i | 1.40584 | + | 0.433644i | ||||
\(165\) | −622.267 | + | 1182.63i | −0.293596 | + | 0.557987i | ||||
\(166\) | −1421.22 | + | 820.544i | −0.664509 | + | 0.383654i | ||||
\(167\) | −874.986 | − | 3833.57i | −0.405440 | − | 1.77635i | −0.604753 | − | 0.796413i | \(-0.706728\pi\) |
0.199313 | − | 0.979936i | \(-0.436129\pi\) | |||||||
\(168\) | −241.683 | + | 2477.17i | −0.110989 | + | 1.13761i | ||||
\(169\) | 624.650 | − | 2736.77i | 0.284320 | − | 1.24569i | ||||
\(170\) | −1006.23 | − | 3262.13i | −0.453968 | − | 1.47173i | ||||
\(171\) | −2060.23 | + | 1001.48i | −0.921343 | + | 0.447867i | ||||
\(172\) | 1236.01 | + | 3149.29i | 0.547934 | + | 1.39611i | ||||
\(173\) | 1993.79 | − | 615.004i | 0.876216 | − | 0.270277i | 0.176157 | − | 0.984362i | \(-0.443633\pi\) |
0.700059 | + | 0.714085i | \(0.253157\pi\) | |||||||
\(174\) | −6707.65 | − | 1256.42i | −2.92245 | − | 0.547406i | ||||
\(175\) | 103.993 | − | 757.173i | 0.0449209 | − | 0.327068i | ||||
\(176\) | 316.862 | − | 72.3217i | 0.135707 | − | 0.0309742i | ||||
\(177\) | −1263.59 | + | 797.206i | −0.536596 | + | 0.338540i | ||||
\(178\) | −1616.99 | − | 933.567i | −0.680889 | − | 0.393111i | ||||
\(179\) | −1177.85 | + | 3818.50i | −0.491826 | + | 1.59446i | 0.280911 | + | 0.959734i | \(0.409363\pi\) |
−0.772737 | + | 0.634726i | \(0.781113\pi\) | |||||||
\(180\) | −511.808 | − | 3313.10i | −0.211933 | − | 1.37191i | ||||
\(181\) | 370.151 | + | 295.185i | 0.152006 | + | 0.121221i | 0.696540 | − | 0.717518i | \(-0.254722\pi\) |
−0.544534 | + | 0.838739i | \(0.683293\pi\) | |||||||
\(182\) | −5949.21 | − | 1276.06i | −2.42299 | − | 0.519712i | ||||
\(183\) | −1305.27 | − | 1511.13i | −0.527257 | − | 0.610416i | ||||
\(184\) | 2672.84 | − | 2480.03i | 1.07089 | − | 0.993642i | ||||
\(185\) | −2127.48 | + | 320.666i | −0.845488 | + | 0.127437i | ||||
\(186\) | −1644.43 | − | 2219.59i | −0.648256 | − | 0.874992i | ||||
\(187\) | 336.493 | − | 2232.49i | 0.131587 | − | 0.873024i | ||||
\(188\) | −4854.15 | + | 2337.63i | −1.88311 | + | 0.906859i | ||||
\(189\) | 2118.96 | + | 1503.76i | 0.815510 | + | 0.578743i | ||||
\(190\) | 3248.51 | + | 1564.40i | 1.24038 | + | 0.597334i | ||||
\(191\) | −1295.45 | + | 1900.07i | −0.490761 | + | 0.719815i | −0.989113 | − | 0.147161i | \(-0.952987\pi\) |
0.498351 | + | 0.866975i | \(0.333939\pi\) | |||||||
\(192\) | 2719.29 | − | 3171.62i | 1.02212 | − | 1.19215i | ||||
\(193\) | −104.392 | + | 1393.01i | −0.0389342 | + | 0.519541i | 0.943307 | + | 0.331920i | \(0.107697\pi\) |
−0.982242 | + | 0.187620i | \(0.939923\pi\) | |||||||
\(194\) | −667.554 | + | 1700.90i | −0.247049 | + | 0.629472i | ||||
\(195\) | 3360.94 | − | 131.932i | 1.23427 | − | 0.0484503i | ||||
\(196\) | −916.336 | + | 4563.04i | −0.333942 | + | 1.66291i | ||||
\(197\) | − | 3864.35i | − | 1.39758i | −0.715326 | − | 0.698791i | \(-0.753722\pi\) | ||
0.715326 | − | 0.698791i | \(-0.246278\pi\) | |||||||
\(198\) | 1026.43 | − | 3371.48i | 0.368412 | − | 1.21011i | ||||
\(199\) | −864.870 | − | 64.8131i | −0.308086 | − | 0.0230878i | −0.0802097 | − | 0.996778i | \(-0.525559\pi\) |
−0.227876 | + | 0.973690i | \(0.573178\pi\) | |||||||
\(200\) | 725.954 | − | 782.392i | 0.256663 | − | 0.276617i | ||||
\(201\) | −686.140 | + | 1096.44i | −0.240779 | + | 0.384762i | ||||
\(202\) | −2717.84 | + | 5643.65i | −0.946665 | + | 1.96577i | ||||
\(203\) | −5024.45 | − | 1477.99i | −1.73718 | − | 0.511008i | ||||
\(204\) | 2655.66 | + | 5002.52i | 0.911439 | + | 1.71690i | ||||
\(205\) | −2060.45 | − | 310.563i | −0.701991 | − | 0.105808i | ||||
\(206\) | 4948.63 | − | 3373.92i | 1.67372 | − | 1.14113i | ||||
\(207\) | −860.618 | − | 3707.86i | −0.288971 | − | 1.24500i | ||||
\(208\) | −556.405 | − | 599.662i | −0.185480 | − | 0.199899i | ||||
\(209\) | 1486.74 | + | 1864.31i | 0.492056 | + | 0.617018i | ||||
\(210\) | −213.971 | − | 4084.09i | −0.0703113 | − | 1.34204i | ||||
\(211\) | 2194.50 | − | 2751.82i | 0.716000 | − | 0.897835i | −0.282105 | − | 0.959384i | \(-0.591033\pi\) |
0.998104 | + | 0.0615487i | \(0.0196039\pi\) | |||||||
\(212\) | −282.017 | + | 21.1343i | −0.0913633 | + | 0.00684673i | ||||
\(213\) | 1238.96 | + | 329.544i | 0.398555 | + | 0.106009i | ||||
\(214\) | 442.846 | − | 767.033i | 0.141460 | − | 0.245015i | ||||
\(215\) | −1140.76 | − | 1975.86i | −0.361857 | − | 0.626755i | ||||
\(216\) | 1217.25 | + | 3418.25i | 0.383443 | + | 1.07677i | ||||
\(217\) | −1083.97 | − | 1821.92i | −0.339101 | − | 0.569953i | ||||
\(218\) | 2572.28 | + | 587.107i | 0.799161 | + | 0.182403i | ||||
\(219\) | 2950.51 | − | 1038.51i | 0.910396 | − | 0.320437i | ||||
\(220\) | −3248.44 | + | 1274.92i | −0.995498 | + | 0.390704i | ||||
\(221\) | −5289.71 | + | 2076.06i | −1.61006 | + | 0.631903i | ||||
\(222\) | 5352.17 | − | 1883.83i | 1.61808 | − | 0.569525i | ||||
\(223\) | 3180.44 | + | 725.914i | 0.955058 | + | 0.217986i | 0.671529 | − | 0.740978i | \(-0.265638\pi\) |
0.283528 | + | 0.958964i | \(0.408495\pi\) | |||||||
\(224\) | 2054.42 | − | 1956.96i | 0.612799 | − | 0.583728i | ||||
\(225\) | −332.325 | − | 1063.50i | −0.0984666 | − | 0.315112i | ||||
\(226\) | −2933.99 | − | 5081.82i | −0.863566 | − | 1.49574i | ||||
\(227\) | 911.038 | − | 1577.96i | 0.266378 | − | 0.461379i | −0.701546 | − | 0.712624i | \(-0.747507\pi\) |
0.967924 | + | 0.251245i | \(0.0808399\pi\) | |||||||
\(228\) | −5780.91 | − | 1537.63i | −1.67917 | − | 0.446632i | ||||
\(229\) | −6455.68 | + | 483.786i | −1.86290 | + | 0.139605i | −0.958135 | − | 0.286315i | \(-0.907570\pi\) |
−0.904761 | + | 0.425920i | \(0.859951\pi\) | |||||||
\(230\) | −3735.46 | + | 4684.12i | −1.07091 | + | 1.34288i | ||||
\(231\) | 1044.43 | − | 2494.92i | 0.297481 | − | 0.710621i | ||||
\(232\) | −4560.11 | − | 5718.20i | −1.29046 | − | 1.61818i | ||||
\(233\) | −1947.83 | − | 2099.26i | −0.547667 | − | 0.590245i | 0.397186 | − | 0.917738i | \(-0.369987\pi\) |
−0.944854 | + | 0.327493i | \(0.893796\pi\) | |||||||
\(234\) | −8640.70 | + | 2005.56i | −2.41393 | + | 0.560289i | ||||
\(235\) | 3002.01 | − | 2046.73i | 0.833316 | − | 0.568145i | ||||
\(236\) | −3857.91 | − | 581.486i | −1.06410 | − | 0.160388i | ||||
\(237\) | 1519.66 | + | 2862.61i | 0.416507 | + | 0.784583i | ||||
\(238\) | 2608.36 | + | 6398.08i | 0.710399 | + | 1.74255i | ||||
\(239\) | 1219.75 | − | 2532.83i | 0.330121 | − | 0.685503i | −0.668166 | − | 0.744012i | \(-0.732920\pi\) |
0.998287 | + | 0.0585094i | \(0.0186347\pi\) | |||||||
\(240\) | 291.678 | − | 466.099i | 0.0784489 | − | 0.125361i | ||||
\(241\) | −974.052 | + | 1049.78i | −0.260349 | + | 0.280590i | −0.849676 | − | 0.527305i | \(-0.823203\pi\) |
0.589327 | + | 0.807895i | \(0.299393\pi\) | |||||||
\(242\) | 2505.88 | + | 187.790i | 0.665637 | + | 0.0498826i | ||||
\(243\) | 3728.26 | + | 670.067i | 0.984230 | + | 0.176892i | ||||
\(244\) | − | 5214.34i | − | 1.36809i | ||||||
\(245\) | 152.420 | − | 3134.94i | 0.0397459 | − | 0.817485i | ||||
\(246\) | 5491.04 | − | 215.547i | 1.42315 | − | 0.0558650i | ||||
\(247\) | 2192.69 | − | 5586.88i | 0.564847 | − | 1.43921i | ||||
\(248\) | 221.242 | − | 2952.27i | 0.0566487 | − | 0.755924i | ||||
\(249\) | −1195.12 | + | 1393.92i | −0.304167 | + | 0.354763i | ||||
\(250\) | −3980.37 | + | 5838.13i | −1.00696 | + | 1.47694i | ||||
\(251\) | −1748.87 | − | 842.211i | −0.439791 | − | 0.211792i | 0.200867 | − | 0.979619i | \(-0.435624\pi\) |
−0.640658 | + | 0.767826i | \(0.721338\pi\) | |||||||
\(252\) | 1620.59 | + | 6588.71i | 0.405110 | + | 1.64702i | ||||
\(253\) | −3569.89 | + | 1719.17i | −0.887103 | + | 0.427206i | ||||
\(254\) | −1095.07 | + | 7265.33i | −0.270516 | + | 1.79475i | ||||
\(255\) | −2273.72 | − | 3068.98i | −0.558376 | − | 0.753676i | ||||
\(256\) | 5159.28 | − | 777.637i | 1.25959 | − | 0.189853i | ||||
\(257\) | 3037.09 | − | 2818.01i | 0.737154 | − | 0.683979i | −0.219367 | − | 0.975642i | \(-0.570399\pi\) |
0.956521 | + | 0.291663i | \(0.0942087\pi\) | |||||||
\(258\) | 3933.11 | + | 4553.44i | 0.949089 | + | 1.09878i | ||||
\(259\) | 4232.30 | − | 1024.55i | 1.01538 | − | 0.245800i | ||||
\(260\) | 6867.06 | + | 5476.30i | 1.63799 | + | 1.30625i | ||||
\(261\) | −7545.80 | + | 1165.67i | −1.78955 | + | 0.276450i | ||||
\(262\) | −1442.01 | + | 4674.89i | −0.340030 | + | 1.10235i | ||||
\(263\) | 1976.95 | + | 1141.39i | 0.463513 | + | 0.267609i | 0.713520 | − | 0.700635i | \(-0.247100\pi\) |
−0.250007 | + | 0.968244i | \(0.580433\pi\) | |||||||
\(264\) | 3194.46 | − | 2015.40i | 0.744718 | − | 0.469845i | ||||
\(265\) | 185.937 | − | 42.4390i | 0.0431021 | − | 0.00983776i | ||||
\(266\) | −6827.42 | − | 2576.80i | −1.57374 | − | 0.593961i | ||||
\(267\) | −2053.31 | − | 384.608i | −0.470639 | − | 0.0881559i | ||||
\(268\) | −3227.54 | + | 995.565i | −0.735647 | + | 0.226917i | ||||
\(269\) | 1904.53 | + | 4852.66i | 0.431677 | + | 1.09990i | 0.966893 | + | 0.255181i | \(0.0821350\pi\) |
−0.535216 | + | 0.844715i | \(0.679770\pi\) | |||||||
\(270\) | −2814.92 | − | 5255.87i | −0.634483 | − | 1.18467i | ||||
\(271\) | −2275.26 | − | 7376.22i | −0.510009 | − | 1.65341i | −0.734254 | − | 0.678874i | \(-0.762468\pi\) |
0.224246 | − | 0.974533i | \(-0.428008\pi\) | |||||||
\(272\) | −206.706 | + | 905.638i | −0.0460786 | + | 0.201884i | ||||
\(273\) | −6752.65 | + | 863.210i | −1.49703 | + | 0.191369i | ||||
\(274\) | 3182.95 | + | 13945.4i | 0.701784 | + | 3.07472i | ||||
\(275\) | −1004.45 | + | 579.919i | −0.220256 | + | 0.127165i | ||||
\(276\) | 4628.46 | − | 8796.49i | 1.00942 | − | 1.91843i | ||||
\(277\) | −6032.91 | − | 1860.91i | −1.30860 | − | 0.403650i | −0.439481 | − | 0.898252i | \(-0.644838\pi\) |
−0.869120 | + | 0.494602i | \(0.835314\pi\) | |||||||
\(278\) | −294.832 | − | 3934.26i | −0.0636073 | − | 0.848781i | ||||
\(279\) | −2559.99 | − | 1731.65i | −0.549329 | − | 0.371582i | ||||
\(280\) | 2687.64 | − | 3462.35i | 0.573634 | − | 0.738983i | ||||
\(281\) | 4749.91 | − | 3787.93i | 1.00838 | − | 0.804160i | 0.0276720 | − | 0.999617i | \(-0.491191\pi\) |
0.980712 | + | 0.195457i | \(0.0626192\pi\) | |||||||
\(282\) | −6763.03 | + | 6787.89i | −1.42813 | + | 1.43338i | ||||
\(283\) | −1106.46 | − | 7340.89i | −0.232411 | − | 1.54194i | −0.735389 | − | 0.677645i | \(-0.763000\pi\) |
0.502978 | − | 0.864299i | \(-0.332238\pi\) | |||||||
\(284\) | 1885.91 | + | 2766.12i | 0.394042 | + | 0.577953i | ||||
\(285\) | 4009.52 | + | 444.317i | 0.833345 | + | 0.0923477i | ||||
\(286\) | 4006.30 | + | 8319.18i | 0.828314 | + | 1.72001i | ||||
\(287\) | 4209.33 | + | 260.006i | 0.865745 | + | 0.0534762i | ||||
\(288\) | 1497.07 | − | 3856.00i | 0.306304 | − | 0.788948i | ||||
\(289\) | 1272.28 | + | 867.423i | 0.258961 | + | 0.176557i | ||||
\(290\) | 8809.65 | + | 8174.16i | 1.78386 | + | 1.65518i | ||||
\(291\) | −72.6933 | + | 2043.06i | −0.0146438 | + | 0.411568i | ||||
\(292\) | 7603.47 | + | 2984.14i | 1.52383 | + | 0.598060i | ||||
\(293\) | −791.543 | −0.157824 | −0.0789120 | − | 0.996882i | \(-0.525145\pi\) | ||||
−0.0789120 | + | 0.996882i | \(0.525145\pi\) | |||||||
\(294\) | 1157.11 | + | 8196.05i | 0.229538 | + | 1.62586i | ||||
\(295\) | 2631.07 | 0.519278 | ||||||||
\(296\) | 5660.70 | + | 2221.66i | 1.11156 | + | 0.436255i | ||||
\(297\) | −169.118 | − | 3939.46i | −0.0330412 | − | 0.769666i | ||||
\(298\) | 3516.89 | + | 3263.20i | 0.683651 | + | 0.634336i | ||||
\(299\) | 8239.95 | + | 5617.90i | 1.59374 | + | 1.08659i | ||||
\(300\) | 1158.63 | − | 2668.95i | 0.222978 | − | 0.513641i | ||||
\(301\) | 2651.03 | + | 3780.88i | 0.507650 | + | 0.724009i | ||||
\(302\) | −3437.90 | − | 7138.88i | −0.655063 | − | 1.36025i | ||||
\(303\) | −771.914 | + | 6965.74i | −0.146354 | + | 1.32070i | ||||
\(304\) | −552.681 | − | 810.635i | −0.104271 | − | 0.152938i | ||||
\(305\) | 524.097 | + | 3477.15i | 0.0983924 | + | 0.652791i | ||||
\(306\) | 7409.02 | + | 6824.16i | 1.38414 | + | 1.27487i | ||||
\(307\) | 3915.92 | − | 3122.84i | 0.727990 | − | 0.580553i | −0.187801 | − | 0.982207i | \(-0.560136\pi\) |
0.915791 | + | 0.401654i | \(0.131565\pi\) | |||||||
\(308\) | 6322.74 | − | 3147.63i | 1.16971 | − | 0.582315i | ||||
\(309\) | 3969.36 | − | 5398.99i | 0.730773 | − | 0.993973i | ||||
\(310\) | 363.534 | + | 4851.02i | 0.0666043 | + | 0.888773i | ||||
\(311\) | 3774.38 | + | 1164.24i | 0.688185 | + | 0.212277i | 0.619075 | − | 0.785332i | \(-0.287508\pi\) |
0.0691103 | + | 0.997609i | \(0.477984\pi\) | |||||||
\(312\) | −8413.18 | − | 4426.77i | −1.52661 | − | 0.803258i | ||||
\(313\) | 502.065 | − | 289.867i | 0.0906658 | − | 0.0523459i | −0.453982 | − | 0.891011i | \(-0.649997\pi\) |
0.544647 | + | 0.838665i | \(0.316663\pi\) | |||||||
\(314\) | 400.516 | + | 1754.78i | 0.0719823 | + | 0.315375i | ||||
\(315\) | −1742.92 | − | 4230.76i | −0.311754 | − | 0.756751i | ||||
\(316\) | −1883.25 | + | 8251.07i | −0.335257 | + | 1.46886i | ||||
\(317\) | −2353.70 | − | 7630.52i | −0.417026 | − | 1.35196i | −0.883915 | − | 0.467648i | \(-0.845101\pi\) |
0.466889 | − | 0.884316i | \(-0.345375\pi\) | |||||||
\(318\) | −460.634 | + | 201.979i | −0.0812298 | + | 0.0356177i | ||||
\(319\) | 2903.70 | + | 7398.51i | 0.509643 | + | 1.29855i | ||||
\(320\) | −7030.30 | + | 2168.56i | −1.22814 | + | 0.378832i | ||||
\(321\) | 182.442 | − | 974.009i | 0.0317226 | − | 0.169358i | ||||
\(322\) | 6698.85 | − | 10107.6i | 1.15936 | − | 1.74930i | ||||
\(323\) | −6644.48 | + | 1516.56i | −1.14461 | + | 0.261250i | ||||
\(324\) | 6223.97 | + | 7688.21i | 1.06721 | + | 1.31828i | ||||
\(325\) | 2528.14 | + | 1459.62i | 0.431496 | + | 0.249124i | ||||
\(326\) | −1760.61 | + | 5707.76i | −0.299114 | + | 0.969705i | ||||
\(327\) | 2932.81 | − | 335.898i | 0.495979 | − | 0.0568049i | ||||
\(328\) | 4604.58 | + | 3672.03i | 0.775138 | + | 0.618152i | ||||
\(329\) | −5688.75 | + | 4659.93i | −0.953286 | + | 0.780882i | ||||
\(330\) | −4696.79 | + | 4056.93i | −0.783484 | + | 0.676748i | ||||
\(331\) | −1194.66 | + | 1108.48i | −0.198382 | + | 0.184072i | −0.773108 | − | 0.634274i | \(-0.781299\pi\) |
0.574726 | + | 0.818346i | \(0.305109\pi\) | |||||||
\(332\) | −4741.16 | + | 714.615i | −0.783750 | + | 0.118131i | ||||
\(333\) | 4948.77 | − | 3976.30i | 0.814387 | − | 0.654354i | ||||
\(334\) | 2721.79 | − | 18057.9i | 0.445897 | − | 2.95833i | ||||
\(335\) | 2052.20 | − | 988.290i | 0.334698 | − | 0.161182i | ||||
\(336\) | −505.239 | + | 991.546i | −0.0820328 | + | 0.160992i | ||||
\(337\) | −6844.70 | − | 3296.24i | −1.10639 | − | 0.532811i | −0.210731 | − | 0.977544i | \(-0.567584\pi\) |
−0.895663 | + | 0.444733i | \(0.853299\pi\) | |||||||
\(338\) | 7344.04 | − | 10771.7i | 1.18184 | − | 1.73345i | ||||
\(339\) | −4984.18 | − | 4273.34i | −0.798535 | − | 0.684649i | ||||
\(340\) | 745.355 | − | 9946.08i | 0.118890 | − | 1.58648i | ||||
\(341\) | −1175.38 | + | 2994.81i | −0.186658 | + | 0.475596i | ||||
\(342\) | −10606.0 | + | 833.951i | −1.67692 | + | 0.131856i | ||||
\(343\) | 249.761 | + | 6347.54i | 0.0393173 | + | 0.999227i | ||||
\(344\) | 6448.54i | 1.01070i | ||||||||
\(345\) | −2202.32 | + | 6331.10i | −0.343678 | + | 0.987986i | ||||
\(346\) | 9663.06 | + | 724.146i | 1.50141 | + | 0.112515i | ||||
\(347\) | 5285.83 | − | 5696.77i | 0.817747 | − | 0.881322i | −0.176945 | − | 0.984221i | \(-0.556621\pi\) |
0.994692 | + | 0.102899i | \(0.0328119\pi\) | |||||||
\(348\) | −16901.7 | − | 10576.9i | −2.60353 | − | 1.62925i | ||||
\(349\) | 1396.40 | − | 2899.66i | 0.214177 | − | 0.444743i | −0.766007 | − | 0.642832i | \(-0.777759\pi\) |
0.980184 | + | 0.198089i | \(0.0634736\pi\) | |||||||
\(350\) | 1734.30 | − | 3096.96i | 0.264864 | − | 0.472969i | ||||
\(351\) | −8374.17 | + | 5326.34i | −1.27345 | + | 0.809969i | ||||
\(352\) | −4257.69 | − | 641.743i | −0.644703 | − | 0.0971734i | ||||
\(353\) | −7952.89 | + | 5422.19i | −1.19912 | + | 0.817547i | −0.987160 | − | 0.159732i | \(-0.948937\pi\) |
−0.211960 | + | 0.977278i | \(0.567985\pi\) | |||||||
\(354\) | −6815.41 | + | 1302.50i | −1.02326 | + | 0.195556i | ||||
\(355\) | −1535.63 | − | 1655.02i | −0.229585 | − | 0.247434i | ||||
\(356\) | −3401.23 | − | 4265.00i | −0.506361 | − | 0.634957i | ||||
\(357\) | 5129.47 | + | 5783.45i | 0.760448 | + | 0.857403i | ||||
\(358\) | −11571.1 | + | 14509.6i | −1.70824 | + | 2.14206i | ||||
\(359\) | −9589.67 | + | 718.646i | −1.40981 | + | 0.105651i | −0.757766 | − | 0.652527i | \(-0.773709\pi\) |
−0.652048 | + | 0.758178i | \(0.726090\pi\) | |||||||
\(360\) | 1399.03 | − | 6234.88i | 0.204820 | − | 0.912798i | ||||
\(361\) | 169.616 | − | 293.784i | 0.0247290 | − | 0.0428320i | ||||
\(362\) | 1099.38 | + | 1904.19i | 0.159620 | + | 0.276470i | ||||
\(363\) | 2714.40 | − | 732.660i | 0.392477 | − | 0.105936i | ||||
\(364\) | −14818.0 | − | 9820.71i | −2.13372 | − | 1.41413i | ||||
\(365\) | −5370.27 | − | 1225.73i | −0.770117 | − | 0.175774i | ||||
\(366\) | −3078.94 | − | 8747.60i | −0.439724 | − | 1.24930i | ||||
\(367\) | 7803.21 | − | 3062.53i | 1.10988 | − | 0.435594i | 0.261614 | − | 0.965173i | \(-0.415745\pi\) |
0.848261 | + | 0.529579i | \(0.177650\pi\) | |||||||
\(368\) | 1517.58 | − | 595.606i | 0.214971 | − | 0.0843698i | ||||
\(369\) | 5715.03 | − | 2267.21i | 0.806267 | − | 0.319855i | ||||
\(370\) | −9741.58 | − | 2223.45i | −1.36876 | − | 0.312410i | ||||
\(371\) | −367.333 | + | 118.603i | −0.0514043 | + | 0.0165972i | ||||
\(372\) | −2103.16 | − | 7791.91i | −0.293129 | − | 1.08600i | ||||
\(373\) | −909.413 | − | 1575.15i | −0.126240 | − | 0.218655i | 0.795977 | − | 0.605327i | \(-0.206958\pi\) |
−0.922217 | + | 0.386673i | \(0.873624\pi\) | |||||||
\(374\) | 5242.65 | − | 9080.54i | 0.724842 | − | 1.25546i | ||||
\(375\) | −2032.12 | + | 7639.99i | −0.279835 | + | 1.05207i | ||||
\(376\) | −10240.6 | + | 767.429i | −1.40457 | + | 0.105258i | ||||
\(377\) | 12472.6 | − | 15640.1i | 1.70390 | − | 2.13663i | ||||
\(378\) | 6609.19 | + | 10096.3i | 0.899312 | + | 1.37381i | ||||
\(379\) | −6533.21 | − | 8192.38i | −0.885457 | − | 1.11033i | −0.993231 | − | 0.116153i | \(-0.962944\pi\) |
0.107774 | − | 0.994175i | \(-0.465628\pi\) | |||||||
\(380\) | 7165.14 | + | 7722.18i | 0.967273 | + | 1.04247i | ||||
\(381\) | 1543.11 | + | 8074.43i | 0.207496 | + | 1.08574i | ||||
\(382\) | −8824.39 | + | 6016.37i | −1.18192 | + | 0.805822i | ||||
\(383\) | 1381.19 | + | 208.182i | 0.184271 | + | 0.0277744i | 0.240529 | − | 0.970642i | \(-0.422679\pi\) |
−0.0562585 | + | 0.998416i | \(0.517917\pi\) | |||||||
\(384\) | 11512.4 | − | 6111.55i | 1.52993 | − | 0.812184i | ||||
\(385\) | −3899.91 | + | 2734.48i | −0.516255 | + | 0.361980i | ||||
\(386\) | −2814.87 | + | 5845.15i | −0.371174 | + | 0.770752i | ||||
\(387\) | 5842.35 | + | 3344.57i | 0.767399 | + | 0.439312i | ||||
\(388\) | −3631.10 | + | 3913.39i | −0.475106 | + | 0.512042i | ||||
\(389\) | 1859.57 | + | 139.356i | 0.242375 | + | 0.0181635i | 0.195364 | − | 0.980731i | \(-0.437411\pi\) |
0.0470115 | + | 0.998894i | \(0.485030\pi\) | |||||||
\(390\) | 14753.8 | + | 5132.23i | 1.91561 | + | 0.666361i | ||||
\(391\) | − | 11324.8i | − | 1.46475i | ||||||
\(392\) | −4803.41 | + | 7458.14i | −0.618900 | + | 0.960952i | ||||
\(393\) | 214.699 | + | 5469.42i | 0.0275576 | + | 0.702025i | ||||
\(394\) | 6556.76 | − | 16706.3i | 0.838387 | − | 2.13618i | ||||
\(395\) | 426.517 | − | 5691.47i | 0.0543301 | − | 0.724984i | ||||
\(396\) | 6390.34 | − | 8073.82i | 0.810926 | − | 1.02456i | ||||
\(397\) | −6944.31 | + | 10185.4i | −0.877896 | + | 1.28764i | 0.0789010 | + | 0.996882i | \(0.474859\pi\) |
−0.956797 | + | 0.290755i | \(0.906093\pi\) | |||||||
\(398\) | −3629.03 | − | 1747.65i | −0.457053 | − | 0.220105i | ||||
\(399\) | −8162.67 | − | 183.335i | −1.02417 | − | 0.0230031i | ||||
\(400\) | 429.954 | − | 207.055i | 0.0537443 | − | 0.0258819i | ||||
\(401\) | −590.505 | + | 3917.74i | −0.0735371 | + | 0.487887i | 0.921500 | + | 0.388379i | \(0.126965\pi\) |
−0.995037 | + | 0.0995078i | \(0.968273\pi\) | |||||||
\(402\) | −4826.68 | + | 3575.95i | −0.598839 | + | 0.443662i | ||||
\(403\) | 8007.10 | − | 1206.88i | 0.989732 | − | 0.149178i | ||||
\(404\) | −13415.8 | + | 12448.0i | −1.65213 | + | 1.53295i | ||||
\(405\) | −4923.17 | − | 4501.27i | −0.604035 | − | 0.552271i | ||||
\(406\) | −19213.9 | − | 14914.8i | −2.34870 | − | 1.82317i | ||||
\(407\) | −5166.54 | − | 4120.18i | −0.629228 | − | 0.501793i | ||||
\(408\) | 1228.38 | + | 10725.3i | 0.149054 | + | 1.30143i | ||||
\(409\) | −1596.38 | + | 5175.33i | −0.192997 | + | 0.625681i | 0.806414 | + | 0.591352i | \(0.201406\pi\) |
−0.999411 | + | 0.0343290i | \(0.989071\pi\) | |||||||
\(410\) | −8380.79 | − | 4838.65i | −1.00951 | − | 0.582839i | ||||
\(411\) | 8539.44 | + | 13535.3i | 1.02487 | + | 1.62444i | ||||
\(412\) | 17060.1 | − | 3893.86i | 2.04003 | − | 0.465623i | ||||
\(413\) | −5304.59 | + | 467.526i | −0.632014 | + | 0.0557033i | ||||
\(414\) | 2570.61 | − | 17490.0i | 0.305166 | − | 2.07630i | ||||
\(415\) | 3089.79 | − | 953.075i | 0.365475 | − | 0.112734i | ||||
\(416\) | 3959.35 | + | 10088.3i | 0.466643 | + | 1.18899i | ||||
\(417\) | −1772.60 | − | 4042.59i | −0.208164 | − | 0.474740i | ||||
\(418\) | 3264.22 | + | 10582.3i | 0.381958 | + | 1.23828i | ||||
\(419\) | 811.971 | − | 3557.48i | 0.0946716 | − | 0.414783i | −0.905278 | − | 0.424820i | \(-0.860338\pi\) |
0.999950 | + | 0.0100363i | \(0.00319469\pi\) | |||||||
\(420\) | 3777.44 | − | 11335.9i | 0.438858 | − | 1.31699i | ||||
\(421\) | 3352.69 | + | 14689.1i | 0.388124 | + | 1.70048i | 0.671109 | + | 0.741358i | \(0.265818\pi\) |
−0.282985 | + | 0.959124i | \(0.591325\pi\) | |||||||
\(422\) | 14156.4 | − | 8173.18i | 1.63299 | − | 0.942806i | ||||
\(423\) | −4616.06 | + | 9676.00i | −0.530592 | + | 1.11221i | ||||
\(424\) | −515.103 | − | 158.888i | −0.0589991 | − | 0.0181988i | ||||
\(425\) | −247.729 | − | 3305.71i | −0.0282744 | − | 0.377296i | ||||
\(426\) | 4797.13 | + | 3526.87i | 0.545591 | + | 0.401120i | ||||
\(427\) | −1674.52 | − | 6917.28i | −0.189779 | − | 0.783959i | ||||
\(428\) | 2023.15 | − | 1613.40i | 0.228487 | − | 0.182212i | ||||
\(429\) | 7318.44 | + | 7291.64i | 0.823631 | + | 0.820615i | ||||
\(430\) | −1579.24 | − | 10477.6i | −0.177111 | − | 1.17506i | ||||
\(431\) | 3076.79 | + | 4512.83i | 0.343861 | + | 0.504351i | 0.958745 | − | 0.284266i | \(-0.0917499\pi\) |
−0.614885 | + | 0.788617i | \(0.710798\pi\) | |||||||
\(432\) | −51.7401 | + | 1621.55i | −0.00576238 | + | 0.180595i | ||||
\(433\) | 492.041 | + | 1021.73i | 0.0546096 | + | 0.113398i | 0.926488 | − | 0.376325i | \(-0.122812\pi\) |
−0.871878 | + | 0.489723i | \(0.837098\pi\) | |||||||
\(434\) | −1594.93 | − | 9715.71i | −0.176404 | − | 1.07458i | ||||
\(435\) | 12333.9 | + | 5354.32i | 1.35946 | + | 0.590161i | ||||
\(436\) | 6369.17 | + | 4342.43i | 0.699605 | + | 0.476983i | ||||
\(437\) | 8768.01 | + | 8135.53i | 0.959796 | + | 0.890561i | ||||
\(438\) | 14517.7 | + | 516.548i | 1.58375 | + | 0.0563507i | ||||
\(439\) | −8026.34 | − | 3150.11i | −0.872611 | − | 0.342475i | −0.113580 | − | 0.993529i | \(-0.536232\pi\) |
−0.759031 | + | 0.651054i | \(0.774327\pi\) | |||||||
\(440\) | −6651.55 | −0.720682 | ||||||||
\(441\) | 4265.74 | + | 8220.07i | 0.460613 | + | 0.887601i | ||||
\(442\) | −26390.9 | −2.84002 | ||||||||
\(443\) | 9825.65 | + | 3856.29i | 1.05379 | + | 0.413584i | 0.828080 | − | 0.560610i | \(-0.189433\pi\) |
0.225714 | + | 0.974194i | \(0.427528\pi\) | |||||||
\(444\) | 16567.1 | + | 589.468i | 1.77081 | + | 0.0630066i | ||||
\(445\) | 2696.77 | + | 2502.24i | 0.287279 | + | 0.266556i | ||||
\(446\) | 12518.0 | + | 8534.61i | 1.32902 | + | 0.906111i | ||||
\(447\) | 4923.81 | + | 2137.49i | 0.521002 | + | 0.226174i | ||||
\(448\) | 13788.7 | − | 5621.35i | 1.45414 | − | 0.592821i | ||||
\(449\) | −6959.28 | − | 14451.1i | −0.731467 | − | 1.51891i | −0.850476 | − | 0.526014i | \(-0.823686\pi\) |
0.119009 | − | 0.992893i | \(-0.462028\pi\) | |||||||
\(450\) | 367.771 | − | 5161.60i | 0.0385264 | − | 0.540711i | ||||
\(451\) | −3605.28 | − | 5287.98i | −0.376421 | − | 0.552109i | ||||
\(452\) | −2555.22 | − | 16952.8i | −0.265902 | − | 1.76414i | ||||
\(453\) | −6280.12 | − | 6257.12i | −0.651359 | − | 0.648974i | ||||
\(454\) | 6615.97 | − | 5276.06i | 0.683927 | − | 0.545414i | ||||
\(455\) | 10868.4 | + | 5059.52i | 1.11982 | + | 0.521305i | ||||
\(456\) | −9186.38 | − | 6753.86i | −0.943403 | − | 0.693593i | ||||
\(457\) | 581.908 | + | 7765.03i | 0.0595635 | + | 0.794820i | 0.944375 | + | 0.328871i | \(0.106668\pi\) |
−0.884811 | + | 0.465949i | \(0.845713\pi\) | |||||||
\(458\) | −28730.0 | − | 8862.04i | −2.93115 | − | 0.904139i | ||||
\(459\) | 10354.2 | + | 4449.84i | 1.05293 | + | 0.452507i | ||||
\(460\) | −15159.2 | + | 8752.18i | −1.53653 | + | 0.887114i | ||||
\(461\) | 3674.32 | + | 16098.3i | 0.371215 | + | 1.62640i | 0.723371 | + | 0.690460i | \(0.242592\pi\) |
−0.352156 | + | 0.935941i | \(0.614551\pi\) | |||||||
\(462\) | 8748.46 | − | 9013.91i | 0.880985 | − | 0.907716i | ||||
\(463\) | 892.555 | − | 3910.54i | 0.0895908 | − | 0.392523i | −0.910174 | − | 0.414227i | \(-0.864052\pi\) |
0.999764 | + | 0.0217040i | \(0.00690912\pi\) | |||||||
\(464\) | −963.897 | − | 3124.88i | −0.0964392 | − | 0.312648i | ||||
\(465\) | 2185.65 | + | 4984.61i | 0.217973 | + | 0.497109i | ||||
\(466\) | −4858.96 | − | 12380.4i | −0.483020 | − | 1.23071i | ||||
\(467\) | −16423.6 | + | 5066.02i | −1.62740 | + | 0.501986i | −0.968241 | − | 0.250019i | \(-0.919563\pi\) |
−0.659158 | + | 0.752005i | \(0.729087\pi\) | |||||||
\(468\) | −25640.9 | − | 3768.59i | −2.53259 | − | 0.372229i | ||||
\(469\) | −3961.90 | + | 2357.19i | −0.390072 | + | 0.232079i | ||||
\(470\) | 16451.0 | − | 3754.84i | 1.61453 | − | 0.368506i | ||||
\(471\) | 1074.53 | + | 1703.17i | 0.105121 | + | 0.166620i | ||||
\(472\) | −6440.21 | − | 3718.26i | −0.628039 | − | 0.362599i | ||||
\(473\) | 2065.52 | − | 6696.26i | 0.200788 | − | 0.650940i | ||||
\(474\) | 1712.70 | + | 14954.1i | 0.165964 | + | 1.44908i | ||||
\(475\) | 2737.36 | + | 2182.97i | 0.264418 | + | 0.210867i | ||||
\(476\) | 264.624 | + | 20185.1i | 0.0254812 | + | 1.94366i | ||||
\(477\) | −411.113 | + | 384.274i | −0.0394624 | + | 0.0368861i | ||||
\(478\) | 9570.73 | − | 8880.34i | 0.915805 | − | 0.849743i | ||||
\(479\) | −18615.4 | + | 2805.81i | −1.77569 | + | 0.267643i | −0.953463 | − | 0.301511i | \(-0.902509\pi\) |
−0.822231 | + | 0.569153i | \(0.807271\pi\) | |||||||
\(480\) | −5853.02 | + | 4336.33i | −0.556568 | + | 0.412345i | ||||
\(481\) | −2478.96 | + | 16446.8i | −0.234992 | + | 1.55907i | ||||
\(482\) | −5992.20 | + | 2885.69i | −0.566260 | + | 0.272697i | ||||
\(483\) | 3315.17 | − | 13155.7i | 0.312310 | − | 1.23935i | ||||
\(484\) | 6614.80 | + | 3185.52i | 0.621225 | + | 0.299166i | ||||
\(485\) | 2028.04 | − | 2974.59i | 0.189873 | − | 0.278493i | ||||
\(486\) | 14981.1 | + | 9222.67i | 1.39826 | + | 0.860800i | ||||
\(487\) | −33.6272 | + | 448.724i | −0.00312894 | + | 0.0417528i | −0.998550 | − | 0.0538373i | \(-0.982855\pi\) |
0.995421 | + | 0.0955901i | \(0.0304738\pi\) | |||||||
\(488\) | 3631.09 | − | 9251.86i | 0.336827 | − | 0.858222i | ||||
\(489\) | 262.134 | + | 6677.84i | 0.0242416 | + | 0.617550i | ||||
\(490\) | 5978.08 | − | 13294.3i | 0.551147 | − | 1.22567i | ||||
\(491\) | 2627.54i | 0.241505i | 0.992683 | + | 0.120753i | \(0.0385308\pi\) | ||||
−0.992683 | + | 0.120753i | \(0.961469\pi\) | |||||||
\(492\) | 15164.1 | + | 5274.93i | 1.38953 | + | 0.483359i | ||||
\(493\) | −22652.8 | − | 1697.59i | −2.06943 | − | 0.155083i | ||||
\(494\) | 18958.8 | − | 20432.8i | 1.72672 | − | 1.86096i | ||||
\(495\) | −3449.86 | + | 6026.28i | −0.313252 | + | 0.547194i | ||||
\(496\) | 574.338 | − | 1192.63i | 0.0519931 | − | 0.107965i | ||||
\(497\) | 3390.12 | + | 3063.86i | 0.305971 | + | 0.276525i | ||||
\(498\) | −7531.84 | + | 3998.38i | −0.677730 | + | 0.359783i | ||||
\(499\) | 8900.44 | + | 1341.53i | 0.798474 | + | 0.120351i | 0.535591 | − | 0.844477i | \(-0.320089\pi\) |
0.262883 | + | 0.964828i | \(0.415327\pi\) | |||||||
\(500\) | −17057.1 | + | 11629.3i | −1.52563 | + | 1.04016i | ||||
\(501\) | −3835.38 | − | 20068.9i | −0.342020 | − | 1.78964i | ||||
\(502\) | −6131.70 | − | 6608.40i | −0.545161 | − | 0.587544i | ||||
\(503\) | −283.393 | − | 355.363i | −0.0251210 | − | 0.0315007i | 0.769112 | − | 0.639114i | \(-0.220699\pi\) |
−0.794233 | + | 0.607613i | \(0.792127\pi\) | |||||||
\(504\) | −1712.72 | + | 12819.0i | −0.151370 | + | 1.13294i | ||||
\(505\) | 7695.08 | − | 9649.32i | 0.678072 | − | 0.850276i | ||||
\(506\) | −18350.3 | + | 1375.16i | −1.61219 | + | 0.120817i | ||||
\(507\) | 3749.38 | − | 14096.3i | 0.328434 | − | 1.23479i | ||||
\(508\) | −10733.3 | + | 18590.7i | −0.937430 | + | 1.62368i | ||||
\(509\) | −8085.19 | − | 14004.0i | −0.704066 | − | 1.21948i | −0.967028 | − | 0.254672i | \(-0.918033\pi\) |
0.262961 | − | 0.964806i | \(-0.415301\pi\) | |||||||
\(510\) | −4622.51 | − | 17125.7i | −0.401349 | − | 1.48694i | ||||
\(511\) | 11045.0 | + | 1516.97i | 0.956167 | + | 0.131324i | ||||
\(512\) | 4059.86 | + | 926.636i | 0.350434 | + | 0.0799842i | ||||
\(513\) | −10883.5 | + | 4819.90i | −0.936686 | + | 0.414822i | ||||
\(514\) | 17911.3 | − | 7029.69i | 1.53703 | − | 0.603241i | ||||
\(515\) | −10985.1 | + | 4311.33i | −0.939923 | + | 0.368893i | ||||
\(516\) | 5836.54 | + | 16582.2i | 0.497944 | + | 1.41471i | ||||
\(517\) | 10879.8 | + | 2483.25i | 0.925521 | + | 0.211244i | ||||
\(518\) | 20035.4 | + | 2751.75i | 1.69943 | + | 0.233408i | ||||
\(519\) | 10467.1 | − | 2825.25i | 0.885273 | − | 0.238949i | ||||
\(520\) | 8370.80 | + | 14498.6i | 0.705930 | + | 1.22271i | ||||
\(521\) | 2253.11 | − | 3902.51i | 0.189464 | − | 0.328161i | −0.755608 | − | 0.655024i | \(-0.772658\pi\) |
0.945072 | + | 0.326863i | \(0.105992\pi\) | |||||||
\(522\) | −34599.8 | − | 7763.74i | −2.90113 | − | 0.650976i | ||||
\(523\) | 6002.92 | − | 449.857i | 0.501892 | − | 0.0376116i | 0.178621 | − | 0.983918i | \(-0.442837\pi\) |
0.323271 | + | 0.946306i | \(0.395217\pi\) | |||||||
\(524\) | −8911.85 | + | 11175.1i | −0.742970 | + | 0.931654i | ||||
\(525\) | 679.923 | − | 3912.68i | 0.0565224 | − | 0.325264i | ||||
\(526\) | 6610.10 | + | 8288.81i | 0.547936 | + | 0.687090i | ||||
\(527\) | −6254.35 | − | 6740.59i | −0.516971 | − | 0.557163i | ||||
\(528\) | 1658.79 | − | 317.012i | 0.136722 | − | 0.0261291i | ||||
\(529\) | −6368.65 | + | 4342.07i | −0.523436 | + | 0.356873i | ||||
\(530\) | 875.851 | + | 132.013i | 0.0717822 | + | 0.0108194i | ||||
\(531\) | −6708.97 | + | 3906.31i | −0.548295 | + | 0.319246i | ||||
\(532\) | −15818.1 | − | 14295.7i | −1.28910 | − | 1.16504i | ||||
\(533\) | −6989.26 | + | 14513.3i | −0.567990 | + | 1.17944i | ||||
\(534\) | −8224.30 | − | 5146.65i | −0.666480 | − | 0.417074i | ||||
\(535\) | −1186.96 | + | 1279.24i | −0.0959191 | + | 0.103376i | ||||
\(536\) | −6419.94 | − | 481.108i | −0.517349 | − | 0.0387700i | ||||
\(537\) | −6821.96 | + | 19611.4i | −0.548211 | + | 1.57596i | ||||
\(538\) | 24210.5i | 1.94013i | ||||||||
\(539\) | 7376.84 | − | 6206.08i | 0.589505 | − | 0.495946i | ||||
\(540\) | −2045.60 | − | 17299.1i | −0.163016 | − | 1.37858i | ||||
\(541\) | −4364.22 | + | 11119.9i | −0.346825 | + | 0.883697i | 0.645914 | + | 0.763410i | \(0.276477\pi\) |
−0.992739 | + | 0.120286i | \(0.961619\pi\) | |||||||
\(542\) | 2679.04 | − | 35749.3i | 0.212315 | − | 2.83315i | ||||
\(543\) | 1867.60 | + | 1601.25i | 0.147600 | + | 0.126549i | ||||
\(544\) | 6932.52 | − | 10168.1i | 0.546378 | − | 0.801389i | ||||
\(545\) | −4683.71 | − | 2255.56i | −0.368125 | − | 0.177280i | ||||
\(546\) | −30657.7 | − | 7725.59i | −2.40298 | − | 0.605540i | ||||
\(547\) | 17412.5 | − | 8385.44i | 1.36107 | − | 0.655458i | 0.396197 | − | 0.918166i | \(-0.370330\pi\) |
0.964875 | + | 0.262708i | \(0.0846156\pi\) | |||||||
\(548\) | −6228.72 | + | 41324.9i | −0.485543 | + | 3.22137i | ||||
\(549\) | −6498.87 | − | 8088.28i | −0.505219 | − | 0.628778i | ||||
\(550\) | −5326.39 | + | 802.824i | −0.412942 | + | 0.0622410i | ||||
\(551\) | 17587.7 | − | 16319.0i | 1.35982 | − | 1.26173i | ||||
\(552\) | 14337.9 | − | 12384.6i | 1.10555 | − | 0.954935i | ||||
\(553\) | 151.427 | + | 11550.5i | 0.0116443 | + | 0.888208i | ||||
\(554\) | −22924.0 | − | 18281.3i | −1.75803 | − | 1.40198i | ||||
\(555\) | −11107.0 | + | 1272.09i | −0.849485 | + | 0.0972923i | ||||
\(556\) | 3397.59 | − | 11014.7i | 0.259155 | − | 0.840158i | ||||
\(557\) | 2225.90 | + | 1285.12i | 0.169325 | + | 0.0977601i | 0.582268 | − | 0.812997i | \(-0.302166\pi\) |
−0.412942 | + | 0.910757i | \(0.635499\pi\) | |||||||
\(558\) | −8129.21 | − | 11829.9i | −0.616733 | − | 0.897489i | ||||
\(559\) | −17195.5 | + | 3924.76i | −1.30106 | + | 0.296958i | ||||
\(560\) | 1684.21 | − | 1002.04i | 0.127090 | − | 0.0756142i | ||||
\(561\) | 2159.85 | − | 11530.8i | 0.162547 | − | 0.867793i | ||||
\(562\) | 26961.9 | − | 8316.64i | 2.02370 | − | 0.624228i | ||||
\(563\) | 2954.41 | + | 7527.72i | 0.221161 | + | 0.563509i | 0.997790 | − | 0.0664496i | \(-0.0211672\pi\) |
−0.776629 | + | 0.629958i | \(0.783072\pi\) | |||||||
\(564\) | −25638.9 | + | 11242.1i | −1.91417 | + | 0.839326i | ||||
\(565\) | 3407.87 | + | 11048.0i | 0.253753 | + | 0.822646i | ||||
\(566\) | 7672.05 | − | 33613.4i | 0.569753 | − | 2.49625i | ||||
\(567\) | 10725.6 | + | 8200.33i | 0.794415 | + | 0.607375i | ||||
\(568\) | 1419.96 | + | 6221.23i | 0.104894 | + | 0.459572i | ||||
\(569\) | 11358.4 | − | 6557.77i | 0.836852 | − | 0.483157i | −0.0193412 | − | 0.999813i | \(-0.506157\pi\) |
0.856193 | + | 0.516656i | \(0.172824\pi\) | |||||||
\(570\) | 16580.0 | + | 8723.94i | 1.21835 | + | 0.641062i | ||||
\(571\) | 15309.6 | + | 4722.39i | 1.12204 | + | 0.346105i | 0.799630 | − | 0.600494i | \(-0.205029\pi\) |
0.322415 | + | 0.946598i | \(0.395505\pi\) | |||||||
\(572\) | 2016.03 | + | 26902.0i | 0.147368 | + | 1.96649i | ||||
\(573\) | −7078.16 | + | 9627.48i | −0.516046 | + | 0.701909i | ||||
\(574\) | 17756.6 | + | 8266.15i | 1.29119 | + | 0.601084i | ||||
\(575\) | −4548.55 | + | 3627.34i | −0.329891 | + | 0.263079i | ||||
\(576\) | 14706.9 | − | 15967.4i | 1.06387 | − | 1.15505i | ||||
\(577\) | −633.491 | − | 4202.94i | −0.0457064 | − | 0.303242i | −0.999991 | − | 0.00434125i | \(-0.998618\pi\) |
0.954284 | − | 0.298901i | \(-0.0966200\pi\) | |||||||
\(578\) | 4028.52 | + | 5908.75i | 0.289903 | + | 0.425210i | ||||
\(579\) | −799.474 | + | 7214.45i | −0.0573834 | + | 0.517828i | ||||
\(580\) | 15234.5 | + | 31634.8i | 1.09065 | + | 2.26476i | ||||
\(581\) | −6060.08 | + | 2470.56i | −0.432727 | + | 0.176414i | ||||
\(582\) | −3780.79 | + | 8709.21i | −0.269276 | + | 0.620289i | ||||
\(583\) | 483.998 | + | 329.984i | 0.0343828 | + | 0.0234418i | ||||
\(584\) | 11412.9 | + | 10589.6i | 0.808678 | + | 0.750343i | ||||
\(585\) | 17477.3 | − | 64.1185i | 1.23521 | − | 0.00453158i | ||||
\(586\) | −3421.99 | − | 1343.03i | −0.241231 | − | 0.0946761i | ||||
\(587\) | 2582.98 | 0.181620 | 0.0908101 | − | 0.995868i | \(-0.471054\pi\) | ||||
0.0908101 | + | 0.995868i | \(0.471054\pi\) | |||||||
\(588\) | −5601.50 | + | 23525.9i | −0.392861 | + | 1.64999i | ||||
\(589\) | 9711.82 | 0.679403 | ||||||||
\(590\) | 11374.6 | + | 4464.22i | 0.793706 | + | 0.311507i | ||||
\(591\) | 713.998 | − | 20067.1i | 0.0496953 | − | 1.39670i | ||||
\(592\) | 1993.14 | + | 1849.36i | 0.138374 | + | 0.128392i | ||||
\(593\) | 4416.95 | + | 3011.43i | 0.305873 | + | 0.208540i | 0.706522 | − | 0.707691i | \(-0.250263\pi\) |
−0.400649 | + | 0.916231i | \(0.631215\pi\) | |||||||
\(594\) | 5953.07 | − | 17318.0i | 0.411208 | − | 1.19624i | ||||
\(595\) | −2205.28 | − | 13433.7i | −0.151945 | − | 0.925594i | ||||
\(596\) | 6081.75 | + | 12628.9i | 0.417983 | + | 0.867952i | ||||
\(597\) | −4479.18 | − | 496.364i | −0.307070 | − | 0.0340282i | ||||
\(598\) | 26090.8 | + | 38268.2i | 1.78417 | + | 2.61690i | ||||
\(599\) | −1229.31 | − | 8155.95i | −0.0838536 | − | 0.556332i | −0.990826 | − | 0.135143i | \(-0.956851\pi\) |
0.906973 | − | 0.421190i | \(-0.138387\pi\) | |||||||
\(600\) | 3914.34 | − | 3928.73i | 0.266337 | − | 0.267316i | ||||
\(601\) | 14751.4 | − | 11763.9i | 1.00120 | − | 0.798434i | 0.0216809 | − | 0.999765i | \(-0.493098\pi\) |
0.979523 | + | 0.201331i | \(0.0645268\pi\) | |||||||
\(602\) | 5045.77 | + | 20843.6i | 0.341611 | + | 1.41116i | ||||
\(603\) | −3765.62 | + | 5566.91i | −0.254308 | + | 0.375957i | ||||
\(604\) | −1730.00 | − | 23085.3i | −0.116544 | − | 1.55518i | ||||
\(605\) | −4731.23 | − | 1459.39i | −0.317937 | − | 0.0980705i | ||||
\(606\) | −15156.1 | + | 28804.5i | −1.01597 | + | 1.93087i | ||||
\(607\) | −14991.2 | + | 8655.17i | −1.00243 | + | 0.578752i | −0.908966 | − | 0.416871i | \(-0.863127\pi\) |
−0.0934622 | + | 0.995623i | \(0.529793\pi\) | |||||||
\(608\) | 2892.31 | + | 12672.0i | 0.192925 | + | 0.845261i | ||||
\(609\) | −25818.2 | − | 8603.36i | −1.71791 | − | 0.572456i | ||||
\(610\) | −3634.02 | + | 15921.7i | −0.241208 | + | 1.05680i | ||||
\(611\) | −8279.14 | − | 26840.3i | −0.548180 | − | 1.77716i | ||||
\(612\) | 12866.2 | + | 26468.1i | 0.849813 | + | 1.74822i | ||||
\(613\) | −2532.37 | − | 6452.37i | −0.166854 | − | 0.425137i | 0.822852 | − | 0.568256i | \(-0.192382\pi\) |
−0.989705 | + | 0.143120i | \(0.954287\pi\) | |||||||
\(614\) | 22227.9 | − | 6856.39i | 1.46098 | − | 0.450654i | ||||
\(615\) | −10642.3 | − | 1993.41i | −0.697785 | − | 0.130703i | ||||
\(616\) | 13410.4 | − | 1181.94i | 0.877144 | − | 0.0773081i | ||||
\(617\) | −3719.59 | + | 848.973i | −0.242699 | + | 0.0553944i | −0.342140 | − | 0.939649i | \(-0.611152\pi\) |
0.0994410 | + | 0.995043i | \(0.468295\pi\) | |||||||
\(618\) | 26320.9 | − | 16606.0i | 1.71324 | − | 1.08089i | ||||
\(619\) | −11111.7 | − | 6415.35i | −0.721515 | − | 0.416567i | 0.0937952 | − | 0.995592i | \(-0.470100\pi\) |
−0.815310 | + | 0.579025i | \(0.803433\pi\) | |||||||
\(620\) | −4189.30 | + | 13581.4i | −0.271365 | + | 0.879744i | ||||
\(621\) | −3783.99 | − | 19413.4i | −0.244519 | − | 1.25448i | ||||
\(622\) | 14342.0 | + | 11437.4i | 0.924536 | + | 0.737293i | ||||
\(623\) | −5881.68 | − | 4565.64i | −0.378241 | − | 0.293609i | ||||
\(624\) | −2778.54 | − | 3216.77i | −0.178254 | − | 0.206368i | ||||
\(625\) | 6424.18 | − | 5960.76i | 0.411147 | − | 0.381489i | ||||
\(626\) | 2662.35 | − | 401.285i | 0.169982 | − | 0.0256207i | ||||
\(627\) | 7375.96 | + | 9955.79i | 0.469804 | + | 0.634125i | ||||
\(628\) | −783.771 | + | 5199.98i | −0.0498024 | + | 0.330417i | ||||
\(629\) | 17016.9 | − | 8194.91i | 1.07871 | − | 0.519479i | ||||
\(630\) | −356.523 | − | 21247.7i | −0.0225464 | − | 1.34369i | ||||
\(631\) | −20974.8 | − | 10100.9i | −1.32329 | − | 0.637261i | −0.367145 | − | 0.930164i | \(-0.619665\pi\) |
−0.956142 | + | 0.292903i | \(0.905379\pi\) | |||||||
\(632\) | −9087.24 | + | 13328.5i | −0.571948 | + | 0.838893i | ||||
\(633\) | 11904.2 | − | 13884.4i | 0.747472 | − | 0.871808i | ||||
\(634\) | 2771.40 | − | 36981.8i | 0.173607 | − | 2.31662i | ||||
\(635\) | 5288.90 | − | 13475.9i | 0.330526 | − | 0.842165i | ||||
\(636\) | −1468.38 | + | 57.6404i | −0.0915490 | + | 0.00359370i | ||||
\(637\) | −22811.2 | − | 8269.41i | −1.41886 | − | 0.514358i | ||||
\(638\) | 36912.0i | 2.29053i | ||||||||
\(639\) | 6372.88 | + | 1940.20i | 0.394534 | + | 0.120114i | ||||
\(640\) | −22889.2 | − | 1715.31i | −1.41371 | − | 0.105943i | ||||
\(641\) | −21673.7 | + | 23358.7i | −1.33550 | + | 1.43933i | −0.528301 | + | 0.849057i | \(0.677171\pi\) |
−0.807203 | + | 0.590274i | \(0.799020\pi\) | |||||||
\(642\) | 2441.36 | − | 3901.28i | 0.150082 | − | 0.239830i | ||||
\(643\) | −12710.1 | + | 26392.8i | −0.779529 | + | 1.61871i | 0.00607609 | + | 0.999982i | \(0.498066\pi\) |
−0.785605 | + | 0.618728i | \(0.787648\pi\) | |||||||
\(644\) | 29007.8 | − | 20339.3i | 1.77495 | − | 1.24453i | ||||
\(645\) | −5558.75 | − | 10471.1i | −0.339342 | − | 0.639226i | ||||
\(646\) | −31298.6 | − | 4717.50i | −1.90623 | − | 0.287318i | ||||
\(647\) | 6214.83 | − | 4237.20i | 0.377636 | − | 0.257468i | −0.359595 | − | 0.933108i | \(-0.617085\pi\) |
0.737231 | + | 0.675641i | \(0.236133\pi\) | |||||||
\(648\) | 5689.46 | + | 17975.4i | 0.344912 | + | 1.08973i | ||||
\(649\) | 5496.62 | + | 5923.95i | 0.332452 | + | 0.358298i | ||||
\(650\) | 8453.07 | + | 10599.8i | 0.510087 | + | 0.639629i | ||||
\(651\) | −5292.30 | − | 9661.25i | −0.318620 | − | 0.581650i | ||||
\(652\) | −10880.8 | + | 13644.1i | −0.653568 | + | 0.819549i | ||||
\(653\) | 7272.05 | − | 544.964i | 0.435800 | − | 0.0326587i | 0.144976 | − | 0.989435i | \(-0.453690\pi\) |
0.290824 | + | 0.956777i | \(0.406071\pi\) | |||||||
\(654\) | 13249.1 | + | 3524.04i | 0.792170 | + | 0.210705i | ||||
\(655\) | 4819.60 | − | 8347.80i | 0.287508 | − | 0.497978i | ||||
\(656\) | 1316.65 | + | 2280.50i | 0.0783635 | + | 0.135729i | ||||
\(657\) | 15513.5 | − | 4847.67i | 0.921215 | − | 0.287862i | ||||
\(658\) | −32500.2 | + | 10493.5i | −1.92552 | + | 0.621701i | ||||
\(659\) | 14930.2 | + | 3407.72i | 0.882546 | + | 0.201435i | 0.639695 | − | 0.768629i | \(-0.279061\pi\) |
0.242850 | + | 0.970064i | \(0.421918\pi\) | |||||||
\(660\) | −17104.3 | + | 6020.28i | −1.00876 | + | 0.355059i | ||||
\(661\) | −15919.6 | + | 6247.96i | −0.936761 | + | 0.367652i | −0.784105 | − | 0.620628i | \(-0.786878\pi\) |
−0.152656 | + | 0.988279i | \(0.548783\pi\) | |||||||
\(662\) | −7045.56 | + | 2765.18i | −0.413646 | + | 0.162344i | ||||
\(663\) | −27852.3 | + | 9803.33i | −1.63151 | + | 0.574253i | ||||
\(664\) | −8909.93 | − | 2033.63i | −0.520742 | − | 0.118856i | ||||
\(665\) | 11985.1 | + | 7943.16i | 0.698889 | + | 0.463192i | ||||
\(666\) | 28141.2 | − | 8793.60i | 1.63731 | − | 0.511629i | ||||
\(667\) | 19933.6 | + | 34526.0i | 1.15717 | + | 2.00428i | ||||
\(668\) | 26677.5 | − | 46206.8i | 1.54519 | − | 2.67634i | ||||
\(669\) | 16381.5 | + | 4357.21i | 0.946702 | + | 0.251808i | ||||
\(670\) | 10548.9 | − | 790.534i | 0.608270 | − | 0.0455836i | ||||
\(671\) | −6734.03 | + | 8444.21i | −0.387428 | + | 0.485820i | ||||
\(672\) | 11029.9 | − | 9782.67i | 0.633167 | − | 0.561569i | ||||
\(673\) | 5965.29 | + | 7480.24i | 0.341672 | + | 0.428443i | 0.922747 | − | 0.385407i | \(-0.125939\pi\) |
−0.581075 | + | 0.813850i | \(0.697368\pi\) | |||||||
\(674\) | −23998.2 | − | 25863.9i | −1.37148 | − | 1.47810i | ||||
\(675\) | −1529.22 | − | 5584.03i | −0.0871996 | − | 0.318414i | ||||
\(676\) | 31471.4 | − | 21456.8i | 1.79059 | − | 1.22080i | ||||
\(677\) | −14698.0 | − | 2215.37i | −0.834401 | − | 0.125766i | −0.282073 | − | 0.959393i | \(-0.591022\pi\) |
−0.552328 | + | 0.833627i | \(0.686260\pi\) | |||||||
\(678\) | −14296.9 | − | 26931.3i | −0.809834 | − | 1.52550i | ||||
\(679\) | −3560.23 | + | 6357.54i | −0.201221 | + | 0.359323i | ||||
\(680\) | 8248.60 | − | 17128.4i | 0.465176 | − | 0.965947i | ||||
\(681\) | 5022.45 | − | 8025.83i | 0.282615 | − | 0.451616i | ||||
\(682\) | −10162.8 | + | 10952.9i | −0.570605 | + | 0.614966i | ||||
\(683\) | 4960.05 | + | 371.704i | 0.277878 | + | 0.0208241i | 0.212940 | − | 0.977065i | \(-0.431696\pi\) |
0.0649380 | + | 0.997889i | \(0.479315\pi\) | |||||||
\(684\) | −29735.4 | − | 9052.82i | −1.66222 | − | 0.506057i | ||||
\(685\) | − | 28183.3i | − | 1.57201i | ||||||
\(686\) | −9690.28 | + | 27865.4i | −0.539325 | + | 1.55088i | ||||
\(687\) | −33612.9 | + | 1319.45i | −1.86668 | + | 0.0732755i | ||||
\(688\) | −1053.37 | + | 2683.95i | −0.0583714 | + | 0.148728i | ||||
\(689\) | 110.181 | − | 1470.27i | 0.00609226 | − | 0.0812956i | ||||
\(690\) | −20263.2 | + | 23633.8i | −1.11798 | + | 1.30395i | ||||
\(691\) | 14577.8 | − | 21381.7i | 0.802556 | − | 1.17713i | −0.178601 | − | 0.983922i | \(-0.557157\pi\) |
0.981157 | − | 0.193212i | \(-0.0618905\pi\) | |||||||
\(692\) | 25507.7 | + | 12283.9i | 1.40124 | + | 0.674801i | ||||
\(693\) | 5884.54 | − | 12762.8i | 0.322562 | − | 0.699594i | ||||
\(694\) | 32517.6 | − | 15659.6i | 1.77860 | − | 0.856529i | ||||
\(695\) | −1158.57 | + | 7686.60i | −0.0632331 | + | 0.419524i | ||||
\(696\) | −22623.5 | − | 30536.4i | −1.23210 | − | 1.66305i | ||||
\(697\) | 18088.0 | − | 2726.32i | 0.982972 | − | 0.148159i | ||||
\(698\) | 10956.9 | − | 10166.5i | 0.594159 | − | 0.551299i | ||||
\(699\) | −9726.94 | − | 11261.1i | −0.526333 | − | 0.609345i | ||||
\(700\) | 8022.49 | − | 6571.60i | 0.433174 | − | 0.354833i | ||||
\(701\) | 19108.2 | + | 15238.3i | 1.02954 | + | 0.821031i | 0.984043 | − | 0.177933i | \(-0.0569412\pi\) |
0.0454979 | + | 0.998964i | \(0.485513\pi\) | |||||||
\(702\) | −45240.5 | + | 8818.12i | −2.43233 | + | 0.474100i | ||||
\(703\) | −5879.90 | + | 19062.2i | −0.315455 | + | 1.02268i | ||||
\(704\) | −19569.7 | − | 11298.6i | −1.04767 | − | 0.604873i | ||||
\(705\) | 15967.2 | − | 10073.7i | 0.852991 | − | 0.538155i | ||||
\(706\) | −43581.9 | + | 9947.28i | −2.32327 | + | 0.530270i | ||||
\(707\) | −13799.7 | + | 20821.7i | −0.734074 | + | 1.10761i | ||||
\(708\) | −19926.2 | − | 3732.39i | −1.05773 | − | 0.198124i | ||||
\(709\) | −21059.6 | + | 6496.01i | −1.11553 | + | 0.344094i | −0.797096 | − | 0.603852i | \(-0.793632\pi\) |
−0.318430 | + | 0.947946i | \(0.603156\pi\) | |||||||
\(710\) | −3830.72 | − | 9760.50i | −0.202485 | − | 0.515923i | ||||
\(711\) | 7362.46 | + | 15145.9i | 0.388346 | + | 0.798898i | ||||
\(712\) | −3064.83 | − | 9935.94i | −0.161319 | − | 0.522985i | ||||
\(713\) | −3590.97 | + | 15733.1i | −0.188616 | + | 0.826380i | ||||
\(714\) | 12362.7 | + | 33706.3i | 0.647988 | + | 1.76670i | ||||
\(715\) | −4048.32 | − | 17736.9i | −0.211746 | − | 0.927721i | ||||
\(716\) | −46957.5 | + | 27110.9i | −2.45096 | + | 1.41506i | ||||
\(717\) | 6801.96 | − | 12927.3i | 0.354287 | − | 0.673331i | ||||
\(718\) | −42677.3 | − | 13164.2i | −2.21825 | − | 0.684240i | ||||
\(719\) | −1213.56 | − | 16193.8i | −0.0629460 | − | 0.839956i | −0.935925 | − | 0.352198i | \(-0.885434\pi\) |
0.872979 | − | 0.487757i | \(-0.162185\pi\) | |||||||
\(720\) | 1600.76 | − | 2366.50i | 0.0828568 | − | 0.122492i | ||||
\(721\) | 21381.3 | − | 10644.2i | 1.10441 | − | 0.549807i | ||||
\(722\) | 1231.76 | − | 982.294i | 0.0634921 | − | 0.0506332i | ||||
\(723\) | −5252.08 | + | 5271.39i | −0.270162 | + | 0.271155i | ||||
\(724\) | 957.458 | + | 6352.32i | 0.0491487 | + | 0.326080i | ||||
\(725\) | 6573.91 | + | 9642.15i | 0.336757 | + | 0.493932i | ||||
\(726\) | 12978.0 | + | 1438.17i | 0.663442 | + | 0.0735198i | ||||
\(727\) | 4397.38 | + | 9131.25i | 0.224332 | + | 0.465831i | 0.982508 | − | 0.186219i | \(-0.0596234\pi\) |
−0.758176 | + | 0.652050i | \(0.773909\pi\) | |||||||
\(728\) | −19453.0 | − | 27743.8i | −0.990350 | − | 1.41243i | ||||
\(729\) | 19236.5 | + | 4168.42i | 0.977318 | + | 0.211778i | ||||
\(730\) | −21137.0 | − | 14411.0i | −1.07166 | − | 0.730649i | ||||
\(731\) | 14682.1 | + | 13623.0i | 0.742868 | + | 0.689281i | ||||
\(732\) | 963.428 | − | 27077.4i | 0.0486466 | − | 1.36722i | ||||
\(733\) | −8921.20 | − | 3501.31i | −0.449539 | − | 0.176431i | 0.129761 | − | 0.991545i | \(-0.458579\pi\) |
−0.579300 | + | 0.815114i | \(0.696674\pi\) | |||||||
\(734\) | 38931.1 | 1.95773 | ||||||||
\(735\) | 1370.72 | − | 16251.2i | 0.0687890 | − | 0.815555i | ||||
\(736\) | −21598.0 | −1.08168 | ||||||||
\(737\) | 6512.46 | + | 2555.95i | 0.325495 | + | 0.127747i | ||||
\(738\) | 28554.0 | − | 104.756i | 1.42424 | − | 0.00522508i | ||||
\(739\) | 18483.6 | + | 17150.3i | 0.920070 | + | 0.853701i | 0.989595 | − | 0.143880i | \(-0.0459578\pi\) |
−0.0695249 | + | 0.997580i | \(0.522148\pi\) | |||||||
\(740\) | −24120.9 | − | 16445.3i | −1.19825 | − | 0.816950i | ||||
\(741\) | 12418.6 | − | 28606.8i | 0.615666 | − | 1.41821i | ||||
\(742\) | −1789.29 | − | 110.523i | −0.0885269 | − | 0.00546822i | ||||
\(743\) | 11136.5 | + | 23125.2i | 0.549877 | + | 1.14183i | 0.971932 | + | 0.235261i | \(0.0755946\pi\) |
−0.422055 | + | 0.906570i | \(0.638691\pi\) | |||||||
\(744\) | 1694.36 | − | 15289.9i | 0.0834921 | − | 0.753432i | ||||
\(745\) | −5324.92 | − | 7810.22i | −0.261866 | − | 0.384087i | ||||
\(746\) | −1258.97 | − | 8352.71i | −0.0617883 | − | 0.409939i | ||||
\(747\) | −6463.65 | + | 7017.61i | −0.316590 | + | 0.343723i | ||||
\(748\) | 23951.1 | − | 19100.3i | 1.17077 | − | 0.933660i | ||||
\(749\) | 2165.76 | − | 2790.03i | 0.105654 | − | 0.136109i | ||||
\(750\) | −21748.2 | + | 29581.2i | −1.05884 | + | 1.44020i | ||||
\(751\) | 823.341 | + | 10986.7i | 0.0400055 | + | 0.533837i | 0.980820 | + | 0.194915i | \(0.0624431\pi\) |
−0.940815 | + | 0.338922i | \(0.889938\pi\) | |||||||
\(752\) | −4387.62 | − | 1353.40i | −0.212766 | − | 0.0656296i | ||||
\(753\) | −8926.03 | − | 4696.62i | −0.431982 | − | 0.227297i | ||||
\(754\) | 80458.6 | − | 46452.8i | 3.88611 | − | 2.24365i | ||||
\(755\) | 3473.96 | + | 15220.4i | 0.167457 | + | 0.733678i | ||||
\(756\) | 7198.15 | + | 34513.7i | 0.346289 | + | 1.66039i | ||||
\(757\) | −5036.61 | + | 22066.8i | −0.241821 | + | 1.05949i | 0.697536 | + | 0.716550i | \(0.254280\pi\) |
−0.939358 | + | 0.342939i | \(0.888577\pi\) | |||||||
\(758\) | −14344.1 | − | 46502.4i | −0.687336 | − | 2.22829i | ||||
\(759\) | −18855.6 | + | 8267.82i | −0.901732 | + | 0.395392i | ||||
\(760\) | 7335.72 | + | 18691.1i | 0.350125 | + | 0.892103i | ||||
\(761\) | −3728.99 | + | 1150.24i | −0.177629 | + | 0.0547914i | −0.382294 | − | 0.924041i | \(-0.624866\pi\) |
0.204665 | + | 0.978832i | \(0.434390\pi\) | |||||||
\(762\) | −7028.95 | + | 37525.6i | −0.334163 | + | 1.78400i | ||||
\(763\) | 9843.78 | + | 3715.23i | 0.467063 | + | 0.176278i | ||||
\(764\) | −30421.6 | + | 6943.54i | −1.44060 | + | 0.328807i | ||||
\(765\) | −11240.1 | − | 16356.9i | −0.531224 | − | 0.773054i | ||||
\(766\) | 5617.94 | + | 3243.52i | 0.264993 | + | 0.152994i | ||||
\(767\) | 5995.31 | − | 19436.3i | 0.282240 | − | 0.915000i | ||||
\(768\) | 26935.1 | − | 3084.91i | 1.26554 | − | 0.144944i | ||||
\(769\) | −17847.4 | − | 14232.8i | −0.836922 | − | 0.667423i | 0.108204 | − | 0.994129i | \(-0.465490\pi\) |
−0.945126 | + | 0.326705i | \(0.894062\pi\) | |||||||
\(770\) | −21499.8 | + | 5204.61i | −1.00623 | + | 0.243586i | ||||
\(771\) | 16291.9 | − | 14072.4i | 0.761009 | − | 0.657335i | ||||
\(772\) | −13894.8 | + | 12892.5i | −0.647777 | + | 0.601049i | ||||
\(773\) | −7608.72 | + | 1146.83i | −0.354032 | + | 0.0533618i | −0.323651 | − | 0.946177i | \(-0.604910\pi\) |
−0.0303814 | + | 0.999538i | \(0.509672\pi\) | |||||||
\(774\) | 19582.8 | + | 24372.1i | 0.909418 | + | 1.13183i | ||||
\(775\) | −704.049 | + | 4671.06i | −0.0326325 | + | 0.216503i | ||||
\(776\) | −9167.85 | + | 4415.01i | −0.424107 | + | 0.204239i | ||||
\(777\) | 22167.1 | − | 4538.34i | 1.02347 | − | 0.209539i | ||||
\(778\) | 7802.85 | + | 3757.65i | 0.359570 | + | 0.173160i | ||||
\(779\) | −10883.3 | + | 15962.9i | −0.500558 | + | 0.734184i | ||||
\(780\) | 34647.9 | + | 29706.5i | 1.59050 | + | 1.36367i | ||||
\(781\) | 518.211 | − | 6915.05i | 0.0237427 | − | 0.316824i | ||||
\(782\) | 19215.1 | − | 48959.2i | 0.878681 | − | 2.23884i | ||||
\(783\) | −39399.7 | + | 4658.99i | −1.79825 | + | 0.212642i | ||||
\(784\) | −3217.52 | + | 2319.52i | −0.146571 | + | 0.105663i | ||||
\(785\) | − | 3546.36i | − | 0.161242i | ||||||
\(786\) | −8351.94 | + | 24009.7i | −0.379013 | + | 1.08956i | ||||
\(787\) | 13606.2 | + | 1019.64i | 0.616275 | + | 0.0461834i | 0.379210 | − | 0.925310i | \(-0.376196\pi\) |
0.237065 | + | 0.971494i | \(0.423815\pi\) | |||||||
\(788\) | 35664.9 | − | 38437.6i | 1.61232 | − | 1.73767i | ||||
\(789\) | 10055.1 | + | 6292.37i | 0.453704 | + | 0.283922i | ||||
\(790\) | 11500.8 | − | 23881.6i | 0.517949 | − | 1.07553i | ||||
\(791\) | −8833.90 | − | 21668.8i | −0.397089 | − | 0.974024i | ||||
\(792\) | 16960.8 | − | 9875.45i | 0.760953 | − | 0.443067i | ||||
\(793\) | 26880.8 | + | 4051.62i | 1.20374 | + | 0.181434i | ||||
\(794\) | −47303.5 | + | 32251.0i | −2.11428 | + | 1.44149i | ||||
\(795\) | 973.390 | − | 186.025i | 0.0434246 | − | 0.00829892i | ||||
\(796\) | −8004.44 | − | 8626.74i | −0.356420 | − | 0.384129i | ||||
\(797\) | −1145.04 | − | 1435.83i | −0.0508901 | − | 0.0638141i | 0.755735 | − | 0.654877i | \(-0.227280\pi\) |
−0.806625 | + | 0.591063i | \(0.798708\pi\) | |||||||
\(798\) | −34977.8 | − | 14642.4i | −1.55163 | − | 0.649545i | ||||
\(799\) | −19886.7 | + | 24937.2i | −0.880528 | + | 1.10415i | ||||
\(800\) | −6304.50 | + | 472.457i | −0.278622 | + | 0.0208798i | ||||
\(801\) | −10591.5 | − | 2376.60i | −0.467207 | − | 0.104835i | ||||
\(802\) | −9200.21 | + | 15935.2i | −0.405076 | + | 0.701612i | ||||
\(803\) | −8459.36 | − | 14652.0i | −0.371761 | − | 0.643909i | ||||
\(804\) | −16944.1 | + | 4573.50i | −0.743251 | + | 0.200615i | ||||
\(805\) | −17299.4 | + | 16478.7i | −0.757420 | + | 0.721489i | ||||
\(806\) | 36664.0 | + | 8368.31i | 1.60227 | + | 0.365709i | ||||
\(807\) | 8993.36 | + | 25551.1i | 0.392294 | + | 1.11455i | ||||
\(808\) | −32472.1 | + | 12744.4i | −1.41382 | + | 0.554883i | ||||
\(809\) | −20403.1 | + | 8007.62i | −0.886692 | + | 0.348001i | −0.764590 | − | 0.644516i | \(-0.777059\pi\) |
−0.122102 | + | 0.992518i | \(0.538963\pi\) | |||||||
\(810\) | −13646.4 | − | 27813.1i | −0.591957 | − | 1.20649i | ||||
\(811\) | −10517.5 | − | 2400.56i | −0.455390 | − | 0.103940i | −0.0113278 | − | 0.999936i | \(-0.503606\pi\) |
−0.444062 | + | 0.895996i | \(0.646463\pi\) | |||||||
\(812\) | −36336.1 | − | 61072.8i | −1.57038 | − | 2.63945i | ||||
\(813\) | −10452.3 | − | 38724.1i | −0.450894 | − | 1.67050i | ||||
\(814\) | −15345.1 | − | 26578.6i | −0.660745 | − | 1.14444i | ||||
\(815\) | 5884.45 | − | 10192.2i | 0.252912 | − | 0.438056i | ||||
\(816\) | −1240.73 | + | 4664.67i | −0.0532281 | + | 0.200118i | ||||
\(817\) | −21094.7 | + | 1580.83i | −0.903319 | + | 0.0676944i | ||||
\(818\) | −15682.6 | + | 19665.3i | −0.670328 | + | 0.840565i | ||||
\(819\) | −35225.1 | + | 3234.88i | −1.50289 | + | 0.138017i | ||||
\(820\) | −17628.5 | − | 22105.4i | −0.750747 | − | 0.941407i | ||||
\(821\) | 14063.6 | + | 15157.0i | 0.597836 | + | 0.644314i | 0.957386 | − | 0.288812i | \(-0.0932602\pi\) |
−0.359550 | + | 0.933126i | \(0.617070\pi\) | |||||||
\(822\) | 13952.0 | + | 73004.7i | 0.592009 | + | 3.09773i | ||||
\(823\) | 7821.41 | − | 5332.55i | 0.331273 | − | 0.225858i | −0.386248 | − | 0.922395i | \(-0.626229\pi\) |
0.717521 | + | 0.696537i | \(0.245277\pi\) | |||||||
\(824\) | 32981.5 | + | 4971.17i | 1.39438 | + | 0.210168i | ||||
\(825\) | −5323.12 | + | 2825.85i | −0.224639 | + | 0.119253i | ||||
\(826\) | −23726.1 | − | 6979.25i | −0.999437 | − | 0.293994i | ||||
\(827\) | −3345.25 | + | 6946.48i | −0.140660 | + | 0.292083i | −0.959384 | − | 0.282104i | \(-0.908968\pi\) |
0.818724 | + | 0.574187i | \(0.194682\pi\) | |||||||
\(828\) | 25660.2 | − | 44823.8i | 1.07700 | − | 1.88132i | ||||
\(829\) | 1668.99 | − | 1798.74i | 0.0699232 | − | 0.0753593i | −0.697121 | − | 0.716953i | \(-0.745536\pi\) |
0.767044 | + | 0.641594i | \(0.221727\pi\) | |||||||
\(830\) | 14974.9 | + | 1122.21i | 0.626248 | + | 0.0469308i | ||||
\(831\) | −30984.3 | − | 10778.1i | −1.29342 | − | 0.449926i | ||||
\(832\) | 56875.8i | 2.36997i | ||||||||
\(833\) | 6833.22 | + | 26692.3i | 0.284222 | + | 1.11024i | ||||
\(834\) | −804.108 | − | 20484.5i | −0.0333861 | − | 0.850506i | ||||
\(835\) | −13145.5 | + | 33494.1i | −0.544812 | + | 1.38816i | ||||
\(836\) | −2417.93 | + | 32265.1i | −0.100031 | + | 1.33482i | ||||
\(837\) | −12973.8 | − | 9465.23i | −0.535769 | − | 0.390880i | ||||
\(838\) | 9546.39 | − | 14002.0i | 0.393526 | − | 0.577196i | ||||
\(839\) | 21673.2 | + | 10437.3i | 0.891827 | + | 0.429481i | 0.822930 | − | 0.568143i | \(-0.192338\pi\) |
0.0688969 | + | 0.997624i | \(0.478052\pi\) | |||||||
\(840\) | 14596.3 | − | 17483.0i | 0.599548 | − | 0.718118i | ||||
\(841\) | 50076.4 | − | 24115.5i | 2.05324 | − | 0.988787i | ||||
\(842\) | −10429.1 | + | 69192.5i | −0.426853 | + | 2.83198i | ||||
\(843\) | 25365.5 | − | 18792.6i | 1.03634 | − | 0.767795i | ||||
\(844\) | 47225.2 | − | 7118.06i | 1.92602 | − | 0.290300i | ||||
\(845\) | −18829.9 | + | 17471.6i | −0.766590 | + | 0.711292i | ||||
\(846\) | −36373.7 | + | 33999.0i | −1.47819 | + | 1.38169i | ||||
\(847\) | 9798.10 | + | 2101.61i | 0.397482 | + | 0.0852565i | ||||
\(848\) | −188.437 | − | 150.274i | −0.00763085 | − | 0.00608540i | ||||
\(849\) | −4389.36 | − | 38324.7i | −0.177435 | − | 1.54923i | ||||
\(850\) | 4537.92 | − | 14711.6i | 0.183117 | − | 0.593650i | ||||
\(851\) | −28706.5 | − | 16573.7i | −1.15634 | − | 0.667613i | ||||
\(852\) | 9282.17 | + | 14712.5i | 0.373242 | + | 0.591599i | ||||
\(853\) | 2990.76 | − | 682.620i | 0.120049 | − | 0.0274003i | −0.162074 | − | 0.986779i | \(-0.551818\pi\) |
0.282123 | + | 0.959378i | \(0.408961\pi\) | |||||||
\(854\) | 4497.47 | − | 32745.9i | 0.180211 | − | 1.31211i | ||||
\(855\) | 20738.8 | + | 3048.10i | 0.829534 | + | 0.121921i | ||||
\(856\) | 4713.21 | − | 1453.83i | 0.188194 | − | 0.0580502i | ||||
\(857\) | 1933.23 | + | 4925.80i | 0.0770571 | + | 0.196338i | 0.964211 | − | 0.265135i | \(-0.0854164\pi\) |
−0.887154 | + | 0.461473i | \(0.847321\pi\) | |||||||
\(858\) | 19267.1 | + | 43940.6i | 0.766630 | + | 1.74838i | ||||
\(859\) | −4712.41 | − | 15277.3i | −0.187178 | − | 0.606815i | −0.999714 | − | 0.0239047i | \(-0.992390\pi\) |
0.812537 | − | 0.582910i | \(-0.198086\pi\) | |||||||
\(860\) | 6888.75 | − | 30181.6i | 0.273145 | − | 1.19673i | ||||
\(861\) | 21810.4 | + | 2127.91i | 0.863296 | + | 0.0842267i | ||||
\(862\) | 5644.53 | + | 24730.3i | 0.223032 | + | 0.977167i | ||||
\(863\) | 21213.1 | − | 12247.4i | 0.836736 | − | 0.483090i | −0.0194176 | − | 0.999811i | \(-0.506181\pi\) |
0.856153 | + | 0.516722i | \(0.172848\pi\) | |||||||
\(864\) | 8486.52 | − | 19747.1i | 0.334164 | − | 0.777558i | ||||
\(865\) | −18244.3 | − | 5627.63i | −0.717140 | − | 0.221208i | ||||
\(866\) | 393.584 | + | 5252.01i | 0.0154440 | + | 0.206086i | ||||
\(867\) | 6446.49 | + | 4739.49i | 0.252519 | + | 0.185653i | ||||
\(868\) | 6032.86 | − | 28126.3i | 0.235908 | − | 1.09985i | ||||
\(869\) | 13705.6 | − | 10929.8i | 0.535017 | − | 0.426662i | ||||
\(870\) | 44237.1 | + | 44075.1i | 1.72388 | + | 1.71757i | ||||
\(871\) | −2624.45 | − | 17412.1i | −0.102096 | − | 0.677366i | ||||
\(872\) | 8276.98 | + | 12140.1i | 0.321438 | + | 0.471463i | ||||
\(873\) | −754.973 | + | 10595.9i | −0.0292691 | + | 0.410787i | ||||
\(874\) | 24102.0 | + | 50048.4i | 0.932796 | + | 1.93697i | ||||
\(875\) | −18893.1 | + | 20905.0i | −0.729947 | + | 0.807677i | ||||
\(876\) | 38932.4 | + | 16901.1i | 1.50160 | + | 0.651867i | ||||
\(877\) | −11425.5 | − | 7789.77i | −0.439922 | − | 0.299934i | 0.323030 | − | 0.946389i | \(-0.395298\pi\) |
−0.762952 | + | 0.646455i | \(0.776251\pi\) | |||||||
\(878\) | −29354.6 | − | 27237.0i | −1.12832 | − | 1.04693i | ||||
\(879\) | −4110.38 | − | 146.250i | −0.157724 | − | 0.00561192i | ||||
\(880\) | −2768.45 | − | 1086.54i | −0.106050 | − | 0.0416217i | ||||
\(881\) | 17770.3 | 0.679565 | 0.339782 | − | 0.940504i | \(-0.389647\pi\) | ||||
0.339782 | + | 0.940504i | \(0.389647\pi\) | |||||||
\(882\) | 4494.39 | + | 42774.8i | 0.171580 | + | 1.63300i | ||||
\(883\) | 23216.8 | 0.884834 | 0.442417 | − | 0.896809i | \(-0.354121\pi\) | ||||
0.442417 | + | 0.896809i | \(0.354121\pi\) | |||||||
\(884\) | −71775.5 | − | 28169.8i | −2.73085 | − | 1.07178i | ||||
\(885\) | 13662.8 | + | 486.131i | 0.518950 | + | 0.0184645i | ||||
\(886\) | 35935.2 | + | 33342.9i | 1.36260 | + | 1.26431i | ||||
\(887\) | 28410.0 | + | 19369.6i | 1.07544 | + | 0.733223i | 0.965418 | − | 0.260707i | \(-0.0839555\pi\) |
0.110022 | + | 0.993929i | \(0.464908\pi\) | |||||||
\(888\) | 28984.8 | + | 12582.7i | 1.09534 | + | 0.475504i | ||||
\(889\) | −8268.54 | + | 28109.0i | −0.311944 | + | 1.06046i | ||||
\(890\) | 7413.04 | + | 15393.3i | 0.279197 | + | 0.579760i | ||||
\(891\) | −150.332 | − | 20488.4i | −0.00565244 | − | 0.770354i | ||||
\(892\) | 24935.3 | + | 36573.4i | 0.935981 | + | 1.37283i | ||||
\(893\) | −5020.89 | − | 33311.4i | −0.188150 | − | 1.24829i | ||||
\(894\) | 17659.8 | + | 17595.2i | 0.660663 | + | 0.658244i | ||||
\(895\) | 28588.4 | − | 22798.5i | 1.06772 | − | 0.851475i | ||||
\(896\) | 46452.4 | − | 608.987i | 1.73199 | − | 0.0227063i | ||||
\(897\) | 41750.9 | + | 30695.5i | 1.55410 | + | 1.14258i | ||||
\(898\) | −5566.73 | − | 74282.9i | −0.206865 | − | 2.76041i | ||||
\(899\) | 30932.4 | + | 9541.39i | 1.14756 | + | 0.353975i | ||||
\(900\) | 6509.74 | − | 13645.5i | 0.241102 | − | 0.505387i | ||||
\(901\) | −1449.95 | + | 837.129i | −0.0536124 | + | 0.0309532i | ||||
\(902\) | −6614.07 | − | 28978.1i | −0.244151 | − | 1.06970i | ||||
\(903\) | 13067.8 | + | 20123.4i | 0.481584 | + | 0.741602i | ||||
\(904\) | 7271.58 | − | 31858.9i | 0.267532 | − | 1.17214i | ||||
\(905\) | −1276.95 | − | 4139.78i | −0.0469031 | − | 0.152056i | ||||
\(906\) | −16533.5 | − | 37706.4i | −0.606281 | − | 1.38268i | ||||
\(907\) | −8889.99 | − | 22651.3i | −0.325455 | − | 0.829245i | −0.996162 | − | 0.0875234i | \(-0.972105\pi\) |
0.670708 | − | 0.741722i | \(-0.265990\pi\) | |||||||
\(908\) | 23625.2 | − | 7287.40i | 0.863468 | − | 0.266345i | ||||
\(909\) | −5295.47 | + | 36029.6i | −0.193223 | + | 1.31466i | ||||
\(910\) | 38401.6 | + | 40314.0i | 1.39890 | + | 1.46857i | ||||
\(911\) | −24481.5 | + | 5587.75i | −0.890350 | + | 0.203217i | −0.643143 | − | 0.765746i | \(-0.722370\pi\) |
−0.247207 | + | 0.968963i | \(0.579513\pi\) | |||||||
\(912\) | −2720.22 | − | 4311.63i | −0.0987671 | − | 0.156549i | ||||
\(913\) | 8600.82 | + | 4965.69i | 0.311770 | + | 0.180000i | ||||
\(914\) | −10659.4 | + | 34557.1i | −0.385758 | + | 1.25060i | ||||
\(915\) | 2079.11 | + | 18153.2i | 0.0751182 | + | 0.655877i | ||||
\(916\) | −68677.7 | − | 54768.7i | −2.47727 | − | 1.97555i | ||||
\(917\) | −8233.61 | + | 17686.7i | −0.296508 | + | 0.636931i | ||||
\(918\) | 37213.2 | + | 36805.9i | 1.33793 | + | 1.32328i | ||||
\(919\) | 27468.0 | − | 25486.5i | 0.985946 | − | 0.914824i | −0.0104247 | − | 0.999946i | \(-0.503318\pi\) |
0.996371 | + | 0.0851216i | \(0.0271279\pi\) | |||||||
\(920\) | −32991.9 | + | 4972.73i | −1.18229 | + | 0.178202i | ||||
\(921\) | 20911.8 | − | 15493.0i | 0.748173 | − | 0.554300i | ||||
\(922\) | −11429.6 | + | 75830.3i | −0.408257 | + | 2.70861i | ||||
\(923\) | −15725.2 | + | 7572.83i | −0.560780 | + | 0.270057i | ||||
\(924\) | 33414.7 | − | 15177.0i | 1.18968 | − | 0.540354i | ||||
\(925\) | −8742.00 | − | 4209.93i | −0.310741 | − | 0.149645i | ||||
\(926\) | 10493.8 | − | 15391.6i | 0.372406 | − | 0.546220i | ||||
\(927\) | 21609.9 | − | 27302.8i | 0.765655 | − | 0.967360i | ||||
\(928\) | −3237.57 | + | 43202.3i | −0.114524 | + | 1.52822i | ||||
\(929\) | −3141.52 | + | 8004.47i | −0.110947 | + | 0.282689i | −0.975554 | − | 0.219760i | \(-0.929472\pi\) |
0.864607 | + | 0.502449i | \(0.167568\pi\) | |||||||
\(930\) | 991.483 | + | 25257.9i | 0.0349591 | + | 0.890579i | ||||
\(931\) | −25574.9 | − | 13884.8i | −0.900306 | − | 0.488782i | ||||
\(932\) | − | 38857.6i | − | 1.36569i | ||||||
\(933\) | 19384.7 | + | 6743.13i | 0.680202 | + | 0.236613i | ||||
\(934\) | −79598.2 | − | 5965.06i | −2.78858 | − | 0.208975i | ||||
\(935\) | −14051.9 | + | 15144.3i | −0.491492 | + | 0.529702i | ||||
\(936\) | −42870.6 | − | 24542.1i | −1.49708 | − | 0.857034i | ||||
\(937\) | 10540.3 | − | 21887.1i | 0.367488 | − | 0.763097i | −0.632446 | − | 0.774605i | \(-0.717949\pi\) |
0.999934 | + | 0.0115080i | \(0.00366320\pi\) | |||||||
\(938\) | −21127.6 | + | 3468.31i | −0.735437 | + | 0.120729i | ||||
\(939\) | 2660.71 | − | 1412.48i | 0.0924698 | − | 0.0490889i | ||||
\(940\) | 48749.8 | + | 7347.85i | 1.69154 | + | 0.254958i | ||||
\(941\) | 42650.2 | − | 29078.4i | 1.47753 | − | 1.00736i | 0.486506 | − | 0.873677i | \(-0.338271\pi\) |
0.991024 | − | 0.133686i | \(-0.0426813\pi\) | |||||||
\(942\) | 1755.61 | + | 9186.32i | 0.0607226 | + | 0.317735i | ||||
\(943\) | −21835.6 | − | 23533.2i | −0.754046 | − | 0.812668i | ||||
\(944\) | −2073.11 | − | 2599.59i | −0.0714765 | − | 0.0896287i | ||||
\(945\) | −8269.05 | − | 22291.8i | −0.284648 | − | 0.767357i | ||||
\(946\) | 20291.4 | − | 25444.6i | 0.697389 | − | 0.874499i | ||||
\(947\) | 19466.8 | − | 1458.83i | 0.667989 | − | 0.0500588i | 0.263580 | − | 0.964637i | \(-0.415097\pi\) |
0.404408 | + | 0.914579i | \(0.367478\pi\) | |||||||
\(948\) | −11304.0 | + | 42498.7i | −0.387275 | + | 1.45601i | ||||
\(949\) | −21291.7 | + | 36878.4i | −0.728303 | + | 1.26146i | ||||
\(950\) | 8130.23 | + | 14082.0i | 0.277663 | + | 0.480926i | ||||
\(951\) | −10812.6 | − | 40059.2i | −0.368689 | − | 1.36594i | ||||
\(952\) | −13586.7 | + | 35998.9i | −0.462549 | + | 1.22556i | ||||
\(953\) | −50811.0 | − | 11597.3i | −1.72710 | − | 0.394200i | −0.760270 | − | 0.649607i | \(-0.774933\pi\) |
−0.966834 | + | 0.255407i | \(0.917790\pi\) | |||||||
\(954\) | −2429.33 | + | 963.742i | −0.0824450 | + | 0.0327068i | ||||
\(955\) | 19588.6 | − | 7687.96i | 0.663741 | − | 0.260499i | ||||
\(956\) | 35508.5 | − | 13936.0i | 1.20128 | − | 0.471469i | ||||
\(957\) | 13711.6 | + | 38956.0i | 0.463147 | + | 1.31585i | ||||
\(958\) | −85238.5 | − | 19455.1i | −2.87467 | − | 0.656124i | ||||
\(959\) | 5008.01 | + | 56821.3i | 0.168631 | + | 1.91330i | ||||
\(960\) | −36908.1 | + | 9962.08i | −1.24084 | + | 0.334922i | ||||
\(961\) | −8343.93 | − | 14452.1i | −0.280082 | − | 0.485117i | ||||
\(962\) | −38622.9 | + | 66896.8i | −1.29444 | + | 2.24204i | ||||
\(963\) | 1127.36 | − | 5024.19i | 0.0377245 | − | 0.168123i | ||||
\(964\) | −19377.2 | + | 1452.12i | −0.647405 | + | 0.0485163i | ||||
\(965\) | 7969.82 | − | 9993.84i | 0.265863 | − | 0.333381i | ||||
\(966\) | 36653.8 | − | 51249.6i | 1.22082 | − | 1.70697i | ||||
\(967\) | −14773.6 | − | 18525.5i | −0.491299 | − | 0.616070i | 0.472943 | − | 0.881093i | \(-0.343192\pi\) |
−0.964242 | + | 0.265024i | \(0.914620\pi\) | |||||||
\(968\) | 9518.43 | + | 10258.4i | 0.316048 | + | 0.340618i | ||||
\(969\) | −34784.1 | + | 6647.62i | −1.15317 | + | 0.220384i | ||||
\(970\) | 13814.7 | − | 9418.70i | 0.457281 | − | 0.311769i | ||||
\(971\) | −14992.3 | − | 2259.72i | −0.495495 | − | 0.0746838i | −0.103459 | − | 0.994634i | \(-0.532991\pi\) |
−0.392036 | + | 0.919950i | \(0.628229\pi\) | |||||||
\(972\) | 30899.7 | + | 41073.8i | 1.01966 | + | 1.35539i | ||||
\(973\) | 969.964 | − | 15703.1i | 0.0319585 | − | 0.517387i | ||||
\(974\) | −906.740 | + | 1882.86i | −0.0298294 | + | 0.0619413i | ||||
\(975\) | 12858.6 | + | 8046.75i | 0.422365 | + | 0.264310i | ||||
\(976\) | 3022.60 | − | 3257.59i | 0.0991301 | − | 0.106837i | ||||
\(977\) | 1030.13 | + | 77.1974i | 0.0337326 | + | 0.00252791i | 0.0915857 | − | 0.995797i | \(-0.470806\pi\) |
−0.0578531 | + | 0.998325i | \(0.518426\pi\) | |||||||
\(978\) | −10197.2 | + | 29314.4i | −0.333406 | + | 0.958456i | ||||
\(979\) | 11299.3i | 0.368875i | ||||||||
\(980\) | 30449.1 | − | 29775.6i | 0.992509 | − | 0.970558i | ||||
\(981\) | 15291.8 | − | 1202.39i | 0.497685 | − | 0.0391329i | ||||
\(982\) | −4458.22 | + | 11359.4i | −0.144875 | + | 0.369136i | ||||
\(983\) | 1922.70 | − | 25656.7i | 0.0623852 | − | 0.832473i | −0.874988 | − | 0.484145i | \(-0.839131\pi\) |
0.937373 | − | 0.348328i | \(-0.113250\pi\) | |||||||
\(984\) | 23232.5 | + | 19919.1i | 0.752667 | + | 0.645323i | ||||
\(985\) | −19919.5 | + | 29216.6i | −0.644355 | + | 0.945095i | ||||
\(986\) | −95052.1 | − | 45774.7i | −3.07006 | − | 1.47846i | ||||
\(987\) | −30401.9 | + | 23147.3i | −0.980450 | + | 0.746491i | ||||
\(988\) | 73372.4 | − | 35334.3i | 2.36264 | − | 1.13779i | ||||
\(989\) | 5238.90 | − | 34757.9i | 0.168440 | − | 1.11753i | ||||
\(990\) | −25139.4 | + | 20199.3i | −0.807052 | + | 0.648461i | ||||
\(991\) | −24854.5 | + | 3746.21i | −0.796698 | + | 0.120083i | −0.534763 | − | 0.845002i | \(-0.679599\pi\) |
−0.261936 | + | 0.965085i | \(0.584361\pi\) | |||||||
\(992\) | −12855.3 | + | 11928.0i | −0.411449 | + | 0.381769i | ||||
\(993\) | −6408.53 | + | 5535.48i | −0.204802 | + | 0.176902i | ||||
\(994\) | 9457.62 | + | 18997.8i | 0.301788 | + | 0.606210i | ||||
\(995\) | 6204.80 | + | 4948.16i | 0.197694 | + | 0.157656i | ||||
\(996\) | −24752.3 | + | 2834.90i | −0.787455 | + | 0.0901880i | ||||
\(997\) | −4882.52 | + | 15828.8i | −0.155096 | + | 0.502810i | −0.999456 | − | 0.0329661i | \(-0.989505\pi\) |
0.844360 | + | 0.535776i | \(0.179981\pi\) | |||||||
\(998\) | 36202.1 | + | 20901.3i | 1.14826 | + | 0.662946i | ||||
\(999\) | 26433.0 | − | 19734.0i | 0.837139 | − | 0.624982i |
(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 | 147.4.o.a.101.49 | yes | 648 | |
3.2 | odd | 2 | inner | 147.4.o.a.101.6 | ✓ | 648 | |
49.33 | odd | 42 | inner | 147.4.o.a.131.6 | yes | 648 | |
147.131 | even | 42 | inner | 147.4.o.a.131.49 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.4.o.a.101.6 | ✓ | 648 | 3.2 | odd | 2 | inner | |
147.4.o.a.101.49 | yes | 648 | 1.1 | even | 1 | trivial | |
147.4.o.a.131.6 | yes | 648 | 49.33 | odd | 42 | inner | |
147.4.o.a.131.49 | yes | 648 | 147.131 | even | 42 | inner |