Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 85.5 | ||
Character | \(\chi\) | \(=\) | 144.85 |
Dual form | 144.2.x.e.61.5 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18142 | + | 0.777339i | −0.835387 | + | 0.549662i | ||||
\(3\) | −0.409248 | + | 1.68301i | −0.236279 | + | 0.971685i | ||||
\(4\) | 0.791487 | − | 1.83672i | 0.395744 | − | 0.918361i | ||||
\(5\) | 3.30105 | − | 0.884514i | 1.47628 | − | 0.395567i | 0.571198 | − | 0.820812i | \(-0.306479\pi\) |
0.905078 | + | 0.425246i | \(0.139812\pi\) | |||||||
\(6\) | −0.824777 | − | 2.30646i | −0.336714 | − | 0.941607i | ||||
\(7\) | 2.63210 | − | 1.51965i | 0.994842 | − | 0.574372i | 0.0881237 | − | 0.996110i | \(-0.471913\pi\) |
0.906718 | + | 0.421737i | \(0.138580\pi\) | |||||||
\(8\) | 0.492680 | + | 2.78519i | 0.174189 | + | 0.984712i | ||||
\(9\) | −2.66503 | − | 1.37753i | −0.888344 | − | 0.459178i | ||||
\(10\) | −3.21235 | + | 3.61102i | −1.01583 | + | 1.14190i | ||||
\(11\) | −1.39766 | + | 5.21614i | −0.421411 | + | 1.57273i | 0.350227 | + | 0.936665i | \(0.386104\pi\) |
−0.771638 | + | 0.636062i | \(0.780562\pi\) | |||||||
\(12\) | 2.76730 | + | 2.08375i | 0.798852 | + | 0.601528i | ||||
\(13\) | −0.378541 | − | 1.41274i | −0.104988 | − | 0.391822i | 0.893355 | − | 0.449351i | \(-0.148345\pi\) |
−0.998344 | + | 0.0575285i | \(0.981678\pi\) | |||||||
\(14\) | −1.92833 | + | 3.84137i | −0.515368 | + | 1.02665i | ||||
\(15\) | 0.137697 | + | 5.91768i | 0.0355532 | + | 1.52794i | ||||
\(16\) | −2.74710 | − | 2.90748i | −0.686774 | − | 0.726871i | ||||
\(17\) | 0.259408 | 0.0629158 | 0.0314579 | − | 0.999505i | \(-0.489985\pi\) | ||||
0.0314579 | + | 0.999505i | \(0.489985\pi\) | |||||||
\(18\) | 4.21932 | − | 0.444194i | 0.994504 | − | 0.104697i | ||||
\(19\) | 0.228947 | − | 0.228947i | 0.0525241 | − | 0.0525241i | −0.680357 | − | 0.732881i | \(-0.738175\pi\) |
0.732881 | + | 0.680357i | \(0.238175\pi\) | |||||||
\(20\) | 0.988135 | − | 6.76320i | 0.220954 | − | 1.51230i | ||||
\(21\) | 1.48039 | + | 5.05176i | 0.323048 | + | 1.10239i | ||||
\(22\) | −2.40349 | − | 7.24889i | −0.512426 | − | 1.54547i | ||||
\(23\) | −2.69713 | − | 1.55719i | −0.562391 | − | 0.324697i | 0.191714 | − | 0.981451i | \(-0.438596\pi\) |
−0.754105 | + | 0.656754i | \(0.771929\pi\) | |||||||
\(24\) | −4.88912 | − | 0.310647i | −0.997988 | − | 0.0634105i | ||||
\(25\) | 5.78446 | − | 3.33966i | 1.15689 | − | 0.667932i | ||||
\(26\) | 1.54539 | + | 1.37477i | 0.303076 | + | 0.269615i | ||||
\(27\) | 3.40906 | − | 3.92152i | 0.656074 | − | 0.754697i | ||||
\(28\) | −0.707890 | − | 6.03722i | −0.133779 | − | 1.14093i | ||||
\(29\) | 1.63556 | + | 0.438247i | 0.303716 | + | 0.0813803i | 0.407458 | − | 0.913224i | \(-0.366415\pi\) |
−0.103743 | + | 0.994604i | \(0.533082\pi\) | |||||||
\(30\) | −4.76273 | − | 6.88421i | −0.869551 | − | 1.25688i | ||||
\(31\) | −3.30458 | + | 5.72370i | −0.593520 | + | 1.02801i | 0.400233 | + | 0.916413i | \(0.368929\pi\) |
−0.993754 | + | 0.111594i | \(0.964404\pi\) | |||||||
\(32\) | 5.50556 | + | 1.29952i | 0.973255 | + | 0.229726i | ||||
\(33\) | −8.20682 | − | 4.48697i | −1.42862 | − | 0.781081i | ||||
\(34\) | −0.306469 | + | 0.201648i | −0.0525591 | + | 0.0345824i | ||||
\(35\) | 7.34457 | − | 7.34457i | 1.24146 | − | 1.24146i | ||||
\(36\) | −4.63949 | + | 3.80462i | −0.773248 | + | 0.634104i | ||||
\(37\) | 1.24139 | + | 1.24139i | 0.204084 | + | 0.204084i | 0.801747 | − | 0.597663i | \(-0.203904\pi\) |
−0.597663 | + | 0.801747i | \(0.703904\pi\) | |||||||
\(38\) | −0.0925123 | + | 0.448452i | −0.0150075 | + | 0.0727485i | ||||
\(39\) | 2.53256 | − | 0.0589295i | 0.405535 | − | 0.00943627i | ||||
\(40\) | 4.08990 | + | 8.75827i | 0.646670 | + | 1.38480i | ||||
\(41\) | −8.85221 | − | 5.11082i | −1.38248 | − | 0.798177i | −0.390030 | − | 0.920802i | \(-0.627535\pi\) |
−0.992453 | + | 0.122626i | \(0.960869\pi\) | |||||||
\(42\) | −5.67590 | − | 4.81747i | −0.875810 | − | 0.743351i | ||||
\(43\) | 0.722202 | − | 2.69530i | 0.110135 | − | 0.411029i | −0.888742 | − | 0.458407i | \(-0.848420\pi\) |
0.998877 | + | 0.0473786i | \(0.0150867\pi\) | |||||||
\(44\) | 8.47437 | + | 6.69563i | 1.27756 | + | 1.00940i | ||||
\(45\) | −10.0159 | − | 2.19005i | −1.49308 | − | 0.326474i | ||||
\(46\) | 4.39690 | − | 0.256898i | 0.648288 | − | 0.0378775i | ||||
\(47\) | −6.08240 | − | 10.5350i | −0.887209 | − | 1.53669i | −0.843160 | − | 0.537662i | \(-0.819307\pi\) |
−0.0440493 | − | 0.999029i | \(-0.514026\pi\) | |||||||
\(48\) | 6.01756 | − | 3.43350i | 0.868560 | − | 0.495583i | ||||
\(49\) | 1.11865 | − | 1.93755i | 0.159807 | − | 0.276793i | ||||
\(50\) | −4.23780 | + | 8.44201i | −0.599316 | + | 1.19388i | ||||
\(51\) | −0.106162 | + | 0.436587i | −0.0148657 | + | 0.0611343i | ||||
\(52\) | −2.89441 | − | 0.422887i | −0.401383 | − | 0.0586439i | ||||
\(53\) | 1.24325 | + | 1.24325i | 0.170773 | + | 0.170773i | 0.787319 | − | 0.616546i | \(-0.211468\pi\) |
−0.616546 | + | 0.787319i | \(0.711468\pi\) | |||||||
\(54\) | −0.979167 | + | 7.28294i | −0.133248 | + | 0.991083i | ||||
\(55\) | 18.4550i | 2.48847i | ||||||||
\(56\) | 5.52928 | + | 6.58220i | 0.738882 | + | 0.879584i | ||||
\(57\) | 0.291624 | + | 0.479016i | 0.0386266 | + | 0.0634473i | ||||
\(58\) | −2.27294 | + | 0.753632i | −0.298452 | + | 0.0989567i | ||||
\(59\) | 0.725362 | − | 0.194360i | 0.0944341 | − | 0.0253036i | −0.211293 | − | 0.977423i | \(-0.567767\pi\) |
0.305727 | + | 0.952119i | \(0.401101\pi\) | |||||||
\(60\) | 10.9781 | + | 4.43086i | 1.41727 | + | 0.572022i | ||||
\(61\) | 4.36145 | + | 1.16865i | 0.558427 | + | 0.149630i | 0.526983 | − | 0.849876i | \(-0.323323\pi\) |
0.0314432 | + | 0.999506i | \(0.489990\pi\) | |||||||
\(62\) | −0.545173 | − | 9.33086i | −0.0692371 | − | 1.18502i | ||||
\(63\) | −9.10801 | + | 0.424093i | −1.14750 | + | 0.0534307i | ||||
\(64\) | −7.51453 | + | 2.74441i | −0.939317 | + | 0.343051i | ||||
\(65\) | −2.49917 | − | 4.32869i | −0.309984 | − | 0.536908i | ||||
\(66\) | 13.1836 | − | 1.07851i | 1.62279 | − | 0.132755i | ||||
\(67\) | 0.411250 | + | 1.53481i | 0.0502422 | + | 0.187506i | 0.986486 | − | 0.163844i | \(-0.0523893\pi\) |
−0.936244 | + | 0.351350i | \(0.885723\pi\) | |||||||
\(68\) | 0.205319 | − | 0.476461i | 0.0248985 | − | 0.0577794i | ||||
\(69\) | 3.72456 | − | 3.90202i | 0.448384 | − | 0.469748i | ||||
\(70\) | −2.96777 | + | 14.3862i | −0.354716 | + | 1.71948i | ||||
\(71\) | − | 4.68290i | − | 0.555758i | −0.960616 | − | 0.277879i | \(-0.910368\pi\) | ||
0.960616 | − | 0.277879i | \(-0.0896315\pi\) | |||||||
\(72\) | 2.52368 | − | 8.10130i | 0.297419 | − | 0.954747i | ||||
\(73\) | − | 15.1606i | − | 1.77441i | −0.461373 | − | 0.887206i | \(-0.652643\pi\) | ||
0.461373 | − | 0.887206i | \(-0.347357\pi\) | |||||||
\(74\) | −2.43158 | − | 0.501618i | −0.282666 | − | 0.0583119i | ||||
\(75\) | 3.25340 | + | 11.1020i | 0.375670 | + | 1.28195i | ||||
\(76\) | −0.239304 | − | 0.601722i | −0.0274500 | − | 0.0690222i | ||||
\(77\) | 4.24790 | + | 15.8534i | 0.484093 | + | 1.80666i | ||||
\(78\) | −2.94620 | + | 2.03828i | −0.333592 | + | 0.230790i | ||||
\(79\) | −0.738050 | − | 1.27834i | −0.0830371 | − | 0.143824i | 0.821516 | − | 0.570185i | \(-0.193129\pi\) |
−0.904553 | + | 0.426361i | \(0.859795\pi\) | |||||||
\(80\) | −11.6400 | − | 7.16792i | −1.30139 | − | 0.801397i | ||||
\(81\) | 5.20480 | + | 7.34235i | 0.578311 | + | 0.815816i | ||||
\(82\) | 14.4310 | − | 0.843158i | 1.59364 | − | 0.0931113i | ||||
\(83\) | −3.39108 | − | 0.908637i | −0.372219 | − | 0.0997358i | 0.0678599 | − | 0.997695i | \(-0.478383\pi\) |
−0.440079 | + | 0.897959i | \(0.645050\pi\) | |||||||
\(84\) | 10.4504 | + | 1.27934i | 1.14023 | + | 0.139587i | ||||
\(85\) | 0.856321 | − | 0.229451i | 0.0928811 | − | 0.0248874i | ||||
\(86\) | 1.24194 | + | 3.74566i | 0.133922 | + | 0.403905i | ||||
\(87\) | −1.40692 | + | 2.57331i | −0.150838 | + | 0.275887i | ||||
\(88\) | −15.2165 | − | 1.32286i | −1.62209 | − | 0.141017i | ||||
\(89\) | 15.7450i | 1.66897i | 0.551029 | + | 0.834486i | \(0.314235\pi\) | ||||
−0.551029 | + | 0.834486i | \(0.685765\pi\) | |||||||
\(90\) | 13.5353 | − | 5.19836i | 1.42675 | − | 0.547955i | ||||
\(91\) | −3.14322 | − | 3.14322i | −0.329499 | − | 0.329499i | ||||
\(92\) | −4.99487 | + | 3.72139i | −0.520752 | + | 0.387981i | ||||
\(93\) | −8.28065 | − | 7.90405i | −0.858663 | − | 0.819612i | ||||
\(94\) | 15.3751 | + | 7.71816i | 1.58582 | + | 0.796068i | ||||
\(95\) | 0.553260 | − | 0.958274i | 0.0567633 | − | 0.0983169i | ||||
\(96\) | −4.44025 | + | 8.73408i | −0.453181 | + | 0.891419i | ||||
\(97\) | 5.94343 | + | 10.2943i | 0.603464 | + | 1.04523i | 0.992292 | + | 0.123919i | \(0.0395465\pi\) |
−0.388829 | + | 0.921310i | \(0.627120\pi\) | |||||||
\(98\) | 0.184549 | + | 3.15863i | 0.0186423 | + | 0.319069i | ||||
\(99\) | 10.9102 | − | 11.9759i | 1.09652 | − | 1.20362i | ||||
\(100\) | −1.55570 | − | 13.2677i | −0.155570 | − | 1.32677i | ||||
\(101\) | 1.93153 | − | 7.20855i | 0.192194 | − | 0.717278i | −0.800781 | − | 0.598957i | \(-0.795582\pi\) |
0.992975 | − | 0.118321i | \(-0.0377512\pi\) | |||||||
\(102\) | −0.213954 | − | 0.598314i | −0.0211846 | − | 0.0592420i | ||||
\(103\) | −9.83030 | − | 5.67553i | −0.968609 | − | 0.559227i | −0.0697969 | − | 0.997561i | \(-0.522235\pi\) |
−0.898812 | + | 0.438335i | \(0.855568\pi\) | |||||||
\(104\) | 3.74823 | − | 1.75034i | 0.367544 | − | 0.171634i | ||||
\(105\) | 9.35522 | + | 15.3667i | 0.912976 | + | 1.49964i | ||||
\(106\) | −2.43522 | − | 0.502367i | −0.236529 | − | 0.0487942i | ||||
\(107\) | −6.81697 | − | 6.81697i | −0.659022 | − | 0.659022i | 0.296127 | − | 0.955149i | \(-0.404305\pi\) |
−0.955149 | + | 0.296127i | \(0.904305\pi\) | |||||||
\(108\) | −4.50451 | − | 9.36533i | −0.433447 | − | 0.901179i | ||||
\(109\) | −7.08227 | + | 7.08227i | −0.678359 | + | 0.678359i | −0.959629 | − | 0.281270i | \(-0.909244\pi\) |
0.281270 | + | 0.959629i | \(0.409244\pi\) | |||||||
\(110\) | −14.3458 | − | 21.8031i | −1.36782 | − | 2.07884i | ||||
\(111\) | −2.59731 | + | 1.58124i | −0.246526 | + | 0.150084i | ||||
\(112\) | −11.6490 | − | 3.47819i | −1.10073 | − | 0.328658i | ||||
\(113\) | −3.22342 | + | 5.58312i | −0.303234 | + | 0.525216i | −0.976866 | − | 0.213850i | \(-0.931400\pi\) |
0.673633 | + | 0.739066i | \(0.264733\pi\) | |||||||
\(114\) | −0.716888 | − | 0.339227i | −0.0671427 | − | 0.0317715i | ||||
\(115\) | −10.2807 | − | 2.75471i | −0.958684 | − | 0.256878i | ||||
\(116\) | 2.09946 | − | 2.65720i | 0.194930 | − | 0.246715i | ||||
\(117\) | −0.937266 | + | 4.28644i | −0.0866503 | + | 0.396282i | ||||
\(118\) | −0.705871 | + | 0.793473i | −0.0649807 | + | 0.0730451i | ||||
\(119\) | 0.682790 | − | 0.394209i | 0.0625913 | − | 0.0361371i | ||||
\(120\) | −16.4140 | + | 3.29904i | −1.49839 | + | 0.301159i | ||||
\(121\) | −15.7284 | − | 9.08080i | −1.42986 | − | 0.825528i | ||||
\(122\) | −6.06112 | + | 2.00967i | −0.548748 | + | 0.181947i | ||||
\(123\) | 12.2243 | − | 12.8067i | 1.10223 | − | 1.15475i | ||||
\(124\) | 7.89732 | + | 10.5998i | 0.709200 | + | 0.951893i | ||||
\(125\) | 4.05813 | − | 4.05813i | 0.362970 | − | 0.362970i | ||||
\(126\) | 10.4307 | − | 7.58104i | 0.929239 | − | 0.675373i | ||||
\(127\) | 14.1695 | 1.25734 | 0.628669 | − | 0.777673i | \(-0.283600\pi\) | ||||
0.628669 | + | 0.777673i | \(0.283600\pi\) | |||||||
\(128\) | 6.74445 | − | 9.08363i | 0.596131 | − | 0.802887i | ||||
\(129\) | 4.24065 | + | 2.31852i | 0.373368 | + | 0.204134i | ||||
\(130\) | 6.31742 | + | 3.17128i | 0.554074 | + | 0.278140i | ||||
\(131\) | −2.33608 | − | 8.71838i | −0.204104 | − | 0.761728i | −0.989721 | − | 0.143014i | \(-0.954321\pi\) |
0.785616 | − | 0.618714i | \(-0.212346\pi\) | |||||||
\(132\) | −14.7369 | + | 11.5223i | −1.28268 | + | 1.00288i | ||||
\(133\) | 0.254694 | − | 0.950532i | 0.0220848 | − | 0.0824216i | ||||
\(134\) | −1.67892 | − | 1.49356i | −0.145037 | − | 0.129024i | ||||
\(135\) | 7.78485 | − | 15.9605i | 0.670013 | − | 1.37366i | ||||
\(136\) | 0.127805 | + | 0.722501i | 0.0109592 | + | 0.0619540i | ||||
\(137\) | 8.48376 | − | 4.89810i | 0.724817 | − | 0.418473i | −0.0917063 | − | 0.995786i | \(-0.529232\pi\) |
0.816523 | + | 0.577313i | \(0.195899\pi\) | |||||||
\(138\) | −1.36706 | + | 7.50516i | −0.116372 | + | 0.638881i | ||||
\(139\) | 0.532255 | − | 0.142617i | 0.0451453 | − | 0.0120967i | −0.236176 | − | 0.971710i | \(-0.575894\pi\) |
0.281321 | + | 0.959614i | \(0.409227\pi\) | |||||||
\(140\) | −7.67679 | − | 19.3031i | −0.648807 | − | 1.63141i | ||||
\(141\) | 20.2197 | − | 5.92530i | 1.70281 | − | 0.499000i | ||||
\(142\) | 3.64021 | + | 5.53246i | 0.305479 | + | 0.464274i | ||||
\(143\) | 7.89810 | 0.660473 | ||||||||
\(144\) | 3.31594 | + | 11.5328i | 0.276328 | + | 0.961063i | ||||
\(145\) | 5.78670 | 0.480559 | ||||||||
\(146\) | 11.7849 | + | 17.9110i | 0.975327 | + | 1.48232i | ||||
\(147\) | 2.80312 | + | 2.67563i | 0.231197 | + | 0.220682i | ||||
\(148\) | 3.26264 | − | 1.29755i | 0.268187 | − | 0.106658i | ||||
\(149\) | −11.0511 | + | 2.96113i | −0.905342 | + | 0.242586i | −0.681309 | − | 0.731996i | \(-0.738589\pi\) |
−0.224033 | + | 0.974582i | \(0.571922\pi\) | |||||||
\(150\) | −12.4737 | − | 10.5871i | −1.01847 | − | 0.864436i | ||||
\(151\) | 0.427774 | − | 0.246975i | 0.0348117 | − | 0.0200986i | −0.482493 | − | 0.875900i | \(-0.660269\pi\) |
0.517305 | + | 0.855801i | \(0.326935\pi\) | |||||||
\(152\) | 0.750459 | + | 0.524863i | 0.0608703 | + | 0.0425720i | ||||
\(153\) | −0.691332 | − | 0.357344i | −0.0558909 | − | 0.0288896i | ||||
\(154\) | −17.3420 | − | 15.4274i | −1.39746 | − | 1.24317i | ||||
\(155\) | −5.84590 | + | 21.8172i | −0.469554 | + | 1.75240i | ||||
\(156\) | 1.89625 | − | 4.69826i | 0.151822 | − | 0.376161i | ||||
\(157\) | 3.71179 | + | 13.8526i | 0.296233 | + | 1.10556i | 0.940233 | + | 0.340532i | \(0.110607\pi\) |
−0.644000 | + | 0.765026i | \(0.722726\pi\) | |||||||
\(158\) | 1.86565 | + | 0.936536i | 0.148423 | + | 0.0745068i | ||||
\(159\) | −2.60119 | + | 1.58360i | −0.206288 | + | 0.125588i | ||||
\(160\) | 19.3236 | − | 0.579952i | 1.52767 | − | 0.0458492i | ||||
\(161\) | −9.46551 | −0.745987 | ||||||||
\(162\) | −11.8565 | − | 4.62847i | −0.931537 | − | 0.363647i | ||||
\(163\) | −11.4938 | + | 11.4938i | −0.900262 | + | 0.900262i | −0.995458 | − | 0.0951968i | \(-0.969652\pi\) |
0.0951968 | + | 0.995458i | \(0.469652\pi\) | |||||||
\(164\) | −16.3936 | + | 12.2139i | −1.28012 | + | 0.953745i | ||||
\(165\) | −31.0599 | − | 7.55267i | −2.41801 | − | 0.587975i | ||||
\(166\) | 4.71259 | − | 1.56254i | 0.365768 | − | 0.121277i | ||||
\(167\) | 12.6295 | + | 7.29166i | 0.977302 | + | 0.564245i | 0.901454 | − | 0.432874i | \(-0.142501\pi\) |
0.0758473 | + | 0.997119i | \(0.475834\pi\) | |||||||
\(168\) | −13.3407 | + | 6.61208i | −1.02926 | + | 0.510133i | ||||
\(169\) | 9.40580 | − | 5.43044i | 0.723523 | − | 0.417726i | ||||
\(170\) | −0.833310 | + | 0.936728i | −0.0639120 | + | 0.0718438i | ||||
\(171\) | −0.925535 | + | 0.294769i | −0.0707774 | + | 0.0225416i | ||||
\(172\) | −4.37890 | − | 3.45978i | −0.333888 | − | 0.263806i | ||||
\(173\) | 14.7841 | + | 3.96139i | 1.12402 | + | 0.301179i | 0.772508 | − | 0.635005i | \(-0.219002\pi\) |
0.351509 | + | 0.936185i | \(0.385669\pi\) | |||||||
\(174\) | −0.338173 | − | 4.13380i | −0.0256369 | − | 0.313383i | ||||
\(175\) | 10.1502 | − | 17.5807i | 0.767283 | − | 1.32897i | ||||
\(176\) | 19.0054 | − | 10.2656i | 1.43258 | − | 0.773796i | ||||
\(177\) | 0.0302571 | + | 1.30033i | 0.00227426 | + | 0.0977390i | ||||
\(178\) | −12.2392 | − | 18.6015i | −0.917370 | − | 1.39424i | ||||
\(179\) | −13.0007 | + | 13.0007i | −0.971722 | + | 0.971722i | −0.999611 | − | 0.0278895i | \(-0.991121\pi\) |
0.0278895 | + | 0.999611i | \(0.491121\pi\) | |||||||
\(180\) | −11.9499 | + | 16.6630i | −0.890697 | + | 1.24198i | ||||
\(181\) | 12.7435 | + | 12.7435i | 0.947219 | + | 0.947219i | 0.998675 | − | 0.0514563i | \(-0.0163863\pi\) |
−0.0514563 | + | 0.998675i | \(0.516386\pi\) | |||||||
\(182\) | 6.15679 | + | 1.27010i | 0.456372 | + | 0.0941462i | ||||
\(183\) | −3.75176 | + | 6.86209i | −0.277338 | + | 0.507260i | ||||
\(184\) | 3.00824 | − | 8.27922i | 0.221771 | − | 0.610352i | ||||
\(185\) | 5.19593 | + | 2.99987i | 0.382013 | + | 0.220555i | ||||
\(186\) | 15.9270 | + | 2.90110i | 1.16783 | + | 0.212719i | ||||
\(187\) | −0.362565 | + | 1.35311i | −0.0265134 | + | 0.0989493i | ||||
\(188\) | −24.1641 | + | 2.83334i | −1.76235 | + | 0.206642i | ||||
\(189\) | 3.01368 | − | 15.5024i | 0.219213 | − | 1.12763i | ||||
\(190\) | 0.0912741 | + | 1.56219i | 0.00662172 | + | 0.113333i | ||||
\(191\) | 1.45841 | + | 2.52604i | 0.105527 | + | 0.182778i | 0.913953 | − | 0.405819i | \(-0.133014\pi\) |
−0.808426 | + | 0.588597i | \(0.799680\pi\) | |||||||
\(192\) | −1.54356 | − | 13.7702i | −0.111397 | − | 0.993776i | ||||
\(193\) | 1.33436 | − | 2.31118i | 0.0960494 | − | 0.166362i | −0.813997 | − | 0.580870i | \(-0.802713\pi\) |
0.910046 | + | 0.414507i | \(0.136046\pi\) | |||||||
\(194\) | −15.0238 | − | 7.54181i | −1.07865 | − | 0.541471i | ||||
\(195\) | 8.30800 | − | 2.43462i | 0.594948 | − | 0.174347i | ||||
\(196\) | −2.67335 | − | 3.58819i | −0.190954 | − | 0.256300i | ||||
\(197\) | 10.9442 | + | 10.9442i | 0.779739 | + | 0.779739i | 0.979786 | − | 0.200048i | \(-0.0641097\pi\) |
−0.200048 | + | 0.979786i | \(0.564110\pi\) | |||||||
\(198\) | −3.58021 | + | 22.6294i | −0.254434 | + | 1.60820i | ||||
\(199\) | − | 4.55405i | − | 0.322828i | −0.986887 | − | 0.161414i | \(-0.948395\pi\) | ||
0.986887 | − | 0.161414i | \(-0.0516054\pi\) | |||||||
\(200\) | 12.1515 | + | 14.4654i | 0.859238 | + | 1.02286i | ||||
\(201\) | −2.75139 | + | 0.0640214i | −0.194068 | + | 0.00451572i | ||||
\(202\) | 3.32155 | + | 10.0177i | 0.233704 | + | 0.704846i | ||||
\(203\) | 4.97094 | − | 1.33196i | 0.348892 | − | 0.0934852i | ||||
\(204\) | 0.717862 | + | 0.540543i | 0.0502604 | + | 0.0378456i | ||||
\(205\) | −33.7422 | − | 9.04120i | −2.35666 | − | 0.631465i | ||||
\(206\) | 16.0255 | − | 0.936321i | 1.11655 | − | 0.0652365i | ||||
\(207\) | 5.04286 | + | 7.86536i | 0.350503 | + | 0.546680i | ||||
\(208\) | −3.06762 | + | 4.98152i | −0.212701 | + | 0.345406i | ||||
\(209\) | 0.874231 | + | 1.51421i | 0.0604718 | + | 0.104740i | ||||
\(210\) | −22.9975 | − | 10.8823i | −1.58698 | − | 0.750950i | ||||
\(211\) | 2.12190 | + | 7.91903i | 0.146077 | + | 0.545168i | 0.999705 | + | 0.0242846i | \(0.00773079\pi\) |
−0.853628 | + | 0.520884i | \(0.825603\pi\) | |||||||
\(212\) | 3.26751 | − | 1.29949i | 0.224414 | − | 0.0892490i | ||||
\(213\) | 7.88137 | + | 1.91647i | 0.540022 | + | 0.131314i | ||||
\(214\) | 13.3528 | + | 2.75458i | 0.912777 | + | 0.188299i | ||||
\(215\) | − | 9.53611i | − | 0.650357i | ||||||
\(216\) | 12.6017 | + | 7.56281i | 0.857440 | + | 0.514584i | ||||
\(217\) | 20.0872i | 1.36361i | ||||||||
\(218\) | 2.86178 | − | 13.8724i | 0.193824 | − | 0.939560i | ||||
\(219\) | 25.5154 | + | 6.20443i | 1.72417 | + | 0.419257i | ||||
\(220\) | 33.8967 | + | 14.6069i | 2.28532 | + | 0.984798i | ||||
\(221\) | −0.0981968 | − | 0.366476i | −0.00660543 | − | 0.0246518i | ||||
\(222\) | 1.83935 | − | 3.88709i | 0.123449 | − | 0.260884i | ||||
\(223\) | 1.97029 | + | 3.41265i | 0.131941 | + | 0.228528i | 0.924425 | − | 0.381365i | \(-0.124546\pi\) |
−0.792484 | + | 0.609893i | \(0.791213\pi\) | |||||||
\(224\) | 16.4660 | − | 4.94602i | 1.10018 | − | 0.330470i | ||||
\(225\) | −20.0163 | + | 0.932010i | −1.33442 | + | 0.0621340i | ||||
\(226\) | −0.531783 | − | 9.10168i | −0.0353737 | − | 0.605435i | ||||
\(227\) | 11.1712 | + | 2.99331i | 0.741458 | + | 0.198673i | 0.609726 | − | 0.792612i | \(-0.291279\pi\) |
0.131732 | + | 0.991285i | \(0.457946\pi\) | |||||||
\(228\) | 1.11064 | − | 0.156497i | 0.0735537 | − | 0.0103643i | ||||
\(229\) | −13.3738 | + | 3.58349i | −0.883764 | + | 0.236804i | −0.672030 | − | 0.740524i | \(-0.734578\pi\) |
−0.211734 | + | 0.977327i | \(0.567911\pi\) | |||||||
\(230\) | 14.2872 | − | 4.73716i | 0.942068 | − | 0.312359i | ||||
\(231\) | −28.4198 | + | 0.661293i | −1.86989 | + | 0.0435099i | ||||
\(232\) | −0.414792 | + | 4.77125i | −0.0272324 | + | 0.313248i | ||||
\(233\) | 6.01983i | 0.394372i | 0.980366 | + | 0.197186i | \(0.0631803\pi\) | ||||
−0.980366 | + | 0.197186i | \(0.936820\pi\) | |||||||
\(234\) | −2.22472 | − | 5.79264i | −0.145434 | − | 0.378677i | ||||
\(235\) | −29.3967 | − | 29.3967i | −1.91763 | − | 1.91763i | ||||
\(236\) | 0.217130 | − | 1.48612i | 0.0141339 | − | 0.0967384i | ||||
\(237\) | 2.45350 | − | 0.718987i | 0.159372 | − | 0.0467032i | ||||
\(238\) | −0.500225 | + | 0.996484i | −0.0324248 | + | 0.0645925i | ||||
\(239\) | 7.92968 | − | 13.7346i | 0.512929 | − | 0.888418i | −0.486959 | − | 0.873425i | \(-0.661894\pi\) |
0.999888 | − | 0.0149936i | \(-0.00477279\pi\) | |||||||
\(240\) | 16.8273 | − | 16.6568i | 1.08620 | − | 1.07519i | ||||
\(241\) | −7.70313 | − | 13.3422i | −0.496202 | − | 0.859447i | 0.503788 | − | 0.863827i | \(-0.331939\pi\) |
−0.999990 | + | 0.00437981i | \(0.998606\pi\) | |||||||
\(242\) | 25.6407 | − | 1.49811i | 1.64824 | − | 0.0963019i | ||||
\(243\) | −14.4873 | + | 5.75488i | −0.929360 | + | 0.369176i | ||||
\(244\) | 5.59851 | − | 7.08580i | 0.358408 | − | 0.453622i | ||||
\(245\) | 1.97892 | − | 7.38543i | 0.126429 | − | 0.471838i | ||||
\(246\) | −4.48680 | + | 24.6325i | −0.286068 | + | 1.57051i | ||||
\(247\) | −0.410108 | − | 0.236776i | −0.0260946 | − | 0.0150657i | ||||
\(248\) | −17.5697 | − | 6.38392i | −1.11568 | − | 0.405380i | ||||
\(249\) | 2.91703 | − | 5.33535i | 0.184859 | − | 0.338114i | ||||
\(250\) | −1.63980 | + | 7.94889i | −0.103710 | + | 0.502732i | ||||
\(251\) | 2.60640 | + | 2.60640i | 0.164514 | + | 0.164514i | 0.784563 | − | 0.620049i | \(-0.212887\pi\) |
−0.620049 | + | 0.784563i | \(0.712887\pi\) | |||||||
\(252\) | −6.42993 | + | 17.0645i | −0.405048 | + | 1.07497i | ||||
\(253\) | 11.8922 | − | 11.8922i | 0.747657 | − | 0.747657i | ||||
\(254\) | −16.7400 | + | 11.0145i | −1.05036 | + | 0.691111i | ||||
\(255\) | 0.0357198 | + | 1.53510i | 0.00223686 | + | 0.0961315i | ||||
\(256\) | −0.906937 | + | 15.9743i | −0.0566836 | + | 0.998392i | ||||
\(257\) | 14.1100 | − | 24.4393i | 0.880160 | − | 1.52448i | 0.0289977 | − | 0.999579i | \(-0.490768\pi\) |
0.851162 | − | 0.524902i | \(-0.175898\pi\) | |||||||
\(258\) | −6.81224 | + | 0.557288i | −0.424112 | + | 0.0346952i | ||||
\(259\) | 5.15395 | + | 1.38100i | 0.320251 | + | 0.0858110i | ||||
\(260\) | −9.92866 | + | 1.16418i | −0.615749 | + | 0.0721992i | ||||
\(261\) | −3.75512 | − | 3.42098i | −0.232436 | − | 0.211753i | ||||
\(262\) | 9.53702 | + | 8.48410i | 0.589199 | + | 0.524150i | ||||
\(263\) | −5.17419 | + | 2.98732i | −0.319054 | + | 0.184206i | −0.650971 | − | 0.759103i | \(-0.725638\pi\) |
0.331917 | + | 0.943309i | \(0.392305\pi\) | |||||||
\(264\) | 8.45371 | − | 25.0682i | 0.520290 | − | 1.54284i | ||||
\(265\) | 5.20370 | + | 3.00436i | 0.319661 | + | 0.184556i | ||||
\(266\) | 0.437986 | + | 1.32096i | 0.0268546 | + | 0.0809931i | ||||
\(267\) | −26.4990 | − | 6.44362i | −1.62172 | − | 0.394343i | ||||
\(268\) | 3.14451 | + | 0.459428i | 0.192082 | + | 0.0280640i | ||||
\(269\) | −7.44878 | + | 7.44878i | −0.454160 | + | 0.454160i | −0.896733 | − | 0.442573i | \(-0.854066\pi\) |
0.442573 | + | 0.896733i | \(0.354066\pi\) | |||||||
\(270\) | 3.20959 | + | 24.9075i | 0.195329 | + | 1.51582i | ||||
\(271\) | 12.6471 | 0.768254 | 0.384127 | − | 0.923280i | \(-0.374502\pi\) | ||||
0.384127 | + | 0.923280i | \(0.374502\pi\) | |||||||
\(272\) | −0.712620 | − | 0.754226i | −0.0432089 | − | 0.0457317i | ||||
\(273\) | 6.57642 | − | 4.00371i | 0.398023 | − | 0.242315i | ||||
\(274\) | −6.21536 | + | 12.3815i | −0.375484 | + | 0.747991i | ||||
\(275\) | 9.33542 | + | 34.8403i | 0.562947 | + | 2.10095i | ||||
\(276\) | −4.21898 | − | 9.92938i | −0.253953 | − | 0.597678i | ||||
\(277\) | 6.12271 | − | 22.8503i | 0.367878 | − | 1.37294i | −0.495600 | − | 0.868551i | \(-0.665052\pi\) |
0.863477 | − | 0.504387i | \(-0.168282\pi\) | |||||||
\(278\) | −0.517953 | + | 0.582233i | −0.0310648 | + | 0.0349200i | ||||
\(279\) | 16.6914 | − | 10.7017i | 0.999289 | − | 0.640693i | ||||
\(280\) | 24.0745 | + | 16.8375i | 1.43873 | + | 1.00623i | ||||
\(281\) | −20.8897 | + | 12.0607i | −1.24618 | + | 0.719480i | −0.970345 | − | 0.241726i | \(-0.922287\pi\) |
−0.275832 | + | 0.961206i | \(0.588953\pi\) | |||||||
\(282\) | −19.2820 | + | 22.7178i | −1.14822 | + | 1.35283i | ||||
\(283\) | 2.04741 | − | 0.548601i | 0.121706 | − | 0.0326110i | −0.197452 | − | 0.980313i | \(-0.563267\pi\) |
0.319158 | + | 0.947702i | \(0.396600\pi\) | |||||||
\(284\) | −8.60119 | − | 3.70646i | −0.510387 | − | 0.219938i | ||||
\(285\) | 1.38636 | + | 1.32331i | 0.0821211 | + | 0.0783863i | ||||
\(286\) | −9.33095 | + | 6.13951i | −0.551750 | + | 0.363037i | ||||
\(287\) | −31.0666 | −1.83380 | ||||||||
\(288\) | −12.8824 | − | 11.0474i | −0.759101 | − | 0.650973i | ||||
\(289\) | −16.9327 | −0.996042 | ||||||||
\(290\) | −6.83650 | + | 4.49823i | −0.401453 | + | 0.264145i | ||||
\(291\) | −19.7578 | + | 5.78991i | −1.15822 | + | 0.339411i | ||||
\(292\) | −27.8458 | − | 11.9994i | −1.62955 | − | 0.702212i | ||||
\(293\) | −1.98386 | + | 0.531574i | −0.115898 | + | 0.0310549i | −0.316302 | − | 0.948659i | \(-0.602441\pi\) |
0.200404 | + | 0.979713i | \(0.435775\pi\) | |||||||
\(294\) | −5.39152 | − | 0.982063i | −0.314440 | − | 0.0572751i | ||||
\(295\) | 2.22255 | − | 1.28319i | 0.129402 | − | 0.0747100i | ||||
\(296\) | −2.84590 | + | 4.06912i | −0.165415 | + | 0.236513i | ||||
\(297\) | 15.6905 | + | 23.2631i | 0.910455 | + | 1.34986i | ||||
\(298\) | 10.7541 | − | 12.0888i | 0.622971 | − | 0.700285i | ||||
\(299\) | −1.17892 | + | 4.39980i | −0.0681788 | + | 0.254447i | ||||
\(300\) | 22.9664 | + | 2.81154i | 1.32596 | + | 0.162324i | ||||
\(301\) | −2.19498 | − | 8.19179i | −0.126517 | − | 0.472167i | ||||
\(302\) | −0.313395 | + | 0.624306i | −0.0180339 | + | 0.0359248i | ||||
\(303\) | 11.3416 | + | 6.20086i | 0.651557 | + | 0.356230i | ||||
\(304\) | −1.29460 | − | 0.0367208i | −0.0742505 | − | 0.00210608i | ||||
\(305\) | 15.4311 | 0.883580 | ||||||||
\(306\) | 1.09453 | − | 0.115228i | 0.0625700 | − | 0.00658712i | ||||
\(307\) | 6.13676 | − | 6.13676i | 0.350243 | − | 0.350243i | −0.509957 | − | 0.860200i | \(-0.670339\pi\) |
0.860200 | + | 0.509957i | \(0.170339\pi\) | |||||||
\(308\) | 32.4804 | + | 4.74554i | 1.85074 | + | 0.270402i | ||||
\(309\) | 13.5750 | − | 14.2218i | 0.772254 | − | 0.809049i | ||||
\(310\) | −10.0529 | − | 30.3194i | −0.570968 | − | 1.72203i | ||||
\(311\) | 19.1722 | + | 11.0691i | 1.08716 | + | 0.627670i | 0.932818 | − | 0.360348i | \(-0.117342\pi\) |
0.154339 | + | 0.988018i | \(0.450675\pi\) | |||||||
\(312\) | 1.41187 | + | 7.02463i | 0.0799316 | + | 0.397691i | ||||
\(313\) | 3.88285 | − | 2.24176i | 0.219472 | − | 0.126712i | −0.386234 | − | 0.922401i | \(-0.626224\pi\) |
0.605706 | + | 0.795689i | \(0.292891\pi\) | |||||||
\(314\) | −15.1533 | − | 13.4804i | −0.855152 | − | 0.760741i | ||||
\(315\) | −29.6909 | + | 9.45612i | −1.67289 | + | 0.532792i | ||||
\(316\) | −2.93211 | + | 0.343802i | −0.164944 | + | 0.0193404i | ||||
\(317\) | −0.0626747 | − | 0.0167936i | −0.00352016 | − | 0.000943225i | 0.257059 | − | 0.966396i | \(-0.417247\pi\) |
−0.260579 | + | 0.965453i | \(0.583913\pi\) | |||||||
\(318\) | 1.84210 | − | 3.89290i | 0.103300 | − | 0.218303i | ||||
\(319\) | −4.57191 | + | 7.91879i | −0.255978 | + | 0.443367i | ||||
\(320\) | −22.3784 | + | 15.7062i | −1.25099 | + | 0.878001i | ||||
\(321\) | 14.2628 | − | 8.68319i | 0.796075 | − | 0.484648i | ||||
\(322\) | 11.1827 | − | 7.35791i | 0.623188 | − | 0.410041i | ||||
\(323\) | 0.0593909 | − | 0.0593909i | 0.00330460 | − | 0.00330460i | ||||
\(324\) | 17.6054 | − | 3.74839i | 0.978077 | − | 0.208244i | ||||
\(325\) | −6.90771 | − | 6.90771i | −0.383171 | − | 0.383171i | ||||
\(326\) | 4.64437 | − | 22.5135i | 0.257228 | − | 1.24691i | ||||
\(327\) | −9.02112 | − | 14.8179i | −0.498869 | − | 0.819433i | ||||
\(328\) | 9.87330 | − | 27.1731i | 0.545162 | − | 1.50038i | ||||
\(329\) | −32.0190 | − | 18.4862i | −1.76527 | − | 1.01918i | ||||
\(330\) | 42.5657 | − | 15.2213i | 2.34316 | − | 0.837903i | ||||
\(331\) | −2.23703 | + | 8.34869i | −0.122958 | + | 0.458886i | −0.999759 | − | 0.0219684i | \(-0.993007\pi\) |
0.876801 | + | 0.480854i | \(0.159673\pi\) | |||||||
\(332\) | −4.35291 | + | 5.50929i | −0.238897 | + | 0.302362i | ||||
\(333\) | −1.59829 | − | 5.01841i | −0.0875858 | − | 0.275007i | ||||
\(334\) | −20.5888 | + | 1.20294i | −1.12657 | + | 0.0658220i | ||||
\(335\) | 2.71512 | + | 4.70272i | 0.148343 | + | 0.256937i | ||||
\(336\) | 10.6211 | − | 18.1819i | 0.579431 | − | 0.991904i | ||||
\(337\) | 15.6738 | − | 27.1477i | 0.853804 | − | 1.47883i | −0.0239463 | − | 0.999713i | \(-0.507623\pi\) |
0.877750 | − | 0.479119i | \(-0.159044\pi\) | |||||||
\(338\) | −6.89087 | + | 13.7271i | −0.374814 | + | 0.746656i | ||||
\(339\) | −8.07726 | − | 7.70992i | −0.438697 | − | 0.418745i | ||||
\(340\) | 0.256331 | − | 1.75443i | 0.0139015 | − | 0.0951474i | ||||
\(341\) | −25.2370 | − | 25.2370i | −1.36666 | − | 1.36666i | ||||
\(342\) | 0.864306 | − | 1.06770i | 0.0467363 | − | 0.0577346i | ||||
\(343\) | 14.4753i | 0.781590i | ||||||||
\(344\) | 7.86272 | + | 0.683550i | 0.423929 | + | 0.0368546i | ||||
\(345\) | 8.84357 | − | 16.1752i | 0.476122 | − | 0.870844i | ||||
\(346\) | −20.5455 | + | 6.81223i | −1.10454 | + | 0.366227i | ||||
\(347\) | −2.46409 | + | 0.660251i | −0.132279 | + | 0.0354441i | −0.324351 | − | 0.945937i | \(-0.605146\pi\) |
0.192072 | + | 0.981381i | \(0.438479\pi\) | |||||||
\(348\) | 3.61289 | + | 4.62086i | 0.193671 | + | 0.247704i | ||||
\(349\) | −5.78691 | − | 1.55060i | −0.309766 | − | 0.0830016i | 0.100587 | − | 0.994928i | \(-0.467928\pi\) |
−0.410353 | + | 0.911927i | \(0.634595\pi\) | |||||||
\(350\) | 1.67453 | + | 28.6602i | 0.0895073 | + | 1.53195i | ||||
\(351\) | −6.83054 | − | 3.33164i | −0.364587 | − | 0.177830i | ||||
\(352\) | −14.4734 | + | 26.9015i | −0.771436 | + | 1.43386i | ||||
\(353\) | 0.129293 | + | 0.223941i | 0.00688155 | + | 0.0119192i | 0.869446 | − | 0.494029i | \(-0.164476\pi\) |
−0.862564 | + | 0.505948i | \(0.831143\pi\) | |||||||
\(354\) | −1.04655 | − | 1.51271i | −0.0556233 | − | 0.0803998i | ||||
\(355\) | −4.14210 | − | 15.4585i | −0.219840 | − | 0.820453i | ||||
\(356\) | 28.9193 | + | 12.4620i | 1.53272 | + | 0.660485i | ||||
\(357\) | 0.384027 | + | 1.31047i | 0.0203249 | + | 0.0693574i | ||||
\(358\) | 5.25330 | − | 25.4653i | 0.277646 | − | 1.34588i | ||||
\(359\) | − | 11.3079i | − | 0.596808i | −0.954440 | − | 0.298404i | \(-0.903546\pi\) | ||
0.954440 | − | 0.298404i | \(-0.0964543\pi\) | |||||||
\(360\) | 1.16509 | − | 28.9750i | 0.0614057 | − | 1.52712i | ||||
\(361\) | 18.8952i | 0.994482i | ||||||||
\(362\) | −24.9615 | − | 5.14936i | −1.31194 | − | 0.270645i | ||||
\(363\) | 21.7199 | − | 22.7547i | 1.14000 | − | 1.19431i | ||||
\(364\) | −8.26104 | + | 3.28540i | −0.432996 | + | 0.172202i | ||||
\(365\) | −13.4098 | − | 50.0459i | −0.701899 | − | 2.61952i | ||||
\(366\) | −0.901788 | − | 11.0234i | −0.0471372 | − | 0.576201i | ||||
\(367\) | 14.0557 | + | 24.3452i | 0.733701 | + | 1.27081i | 0.955291 | + | 0.295667i | \(0.0955419\pi\) |
−0.221590 | + | 0.975140i | \(0.571125\pi\) | |||||||
\(368\) | 2.88177 | + | 12.1196i | 0.150223 | + | 0.631779i | ||||
\(369\) | 16.5511 | + | 25.8147i | 0.861615 | + | 1.34386i | ||||
\(370\) | −8.47048 | + | 0.494904i | −0.440359 | + | 0.0257288i | ||||
\(371\) | 5.16165 | + | 1.38306i | 0.267980 | + | 0.0718049i | ||||
\(372\) | −21.0716 | + | 8.95329i | −1.09251 | + | 0.464206i | ||||
\(373\) | −28.9876 | + | 7.76720i | −1.50092 | + | 0.402170i | −0.913408 | − | 0.407045i | \(-0.866559\pi\) |
−0.587512 | + | 0.809215i | \(0.699893\pi\) | |||||||
\(374\) | −0.623486 | − | 1.88042i | −0.0322397 | − | 0.0972344i | ||||
\(375\) | 5.16909 | + | 8.49065i | 0.266931 | + | 0.438455i | ||||
\(376\) | 26.3453 | − | 22.1310i | 1.35866 | − | 1.14132i | ||||
\(377\) | − | 2.47651i | − | 0.127547i | ||||||
\(378\) | 8.49022 | + | 20.6574i | 0.436690 | + | 1.06250i | ||||
\(379\) | 22.9932 | + | 22.9932i | 1.18108 | + | 1.18108i | 0.979465 | + | 0.201616i | \(0.0646194\pi\) |
0.201616 | + | 0.979465i | \(0.435381\pi\) | |||||||
\(380\) | −1.32219 | − | 1.77465i | −0.0678267 | − | 0.0910375i | ||||
\(381\) | −5.79883 | + | 23.8473i | −0.297083 | + | 1.22174i | ||||
\(382\) | −3.68658 | − | 1.85063i | −0.188622 | − | 0.0946864i | ||||
\(383\) | 1.35411 | − | 2.34539i | 0.0691919 | − | 0.119844i | −0.829354 | − | 0.558724i | \(-0.811291\pi\) |
0.898546 | + | 0.438880i | \(0.144625\pi\) | |||||||
\(384\) | 12.5277 | + | 15.0684i | 0.639300 | + | 0.768957i | ||||
\(385\) | 28.0451 | + | 48.5755i | 1.42931 | + | 2.47564i | ||||
\(386\) | 0.220136 | + | 3.76772i | 0.0112046 | + | 0.191772i | ||||
\(387\) | −5.63756 | + | 6.18819i | −0.286573 | + | 0.314564i | ||||
\(388\) | 23.6119 | − | 2.76860i | 1.19871 | − | 0.140554i | ||||
\(389\) | 3.57208 | − | 13.3312i | 0.181112 | − | 0.675918i | −0.814318 | − | 0.580419i | \(-0.802889\pi\) |
0.995430 | − | 0.0954990i | \(-0.0304447\pi\) | |||||||
\(390\) | −7.92268 | + | 9.33443i | −0.401180 | + | 0.472667i | ||||
\(391\) | −0.699659 | − | 0.403948i | −0.0353833 | − | 0.0204285i | ||||
\(392\) | 5.94759 | + | 2.16105i | 0.300398 | + | 0.109149i | ||||
\(393\) | 15.6291 | − | 0.363670i | 0.788386 | − | 0.0183447i | ||||
\(394\) | −21.4369 | − | 4.42228i | −1.07998 | − | 0.222791i | ||||
\(395\) | −3.56705 | − | 3.56705i | −0.179478 | − | 0.179478i | ||||
\(396\) | −13.3610 | − | 29.5178i | −0.671417 | − | 1.48333i | ||||
\(397\) | −2.91803 | + | 2.91803i | −0.146452 | + | 0.146452i | −0.776531 | − | 0.630079i | \(-0.783022\pi\) |
0.630079 | + | 0.776531i | \(0.283022\pi\) | |||||||
\(398\) | 3.54004 | + | 5.38023i | 0.177446 | + | 0.269686i | ||||
\(399\) | 1.49552 | + | 0.817656i | 0.0748697 | + | 0.0409340i | ||||
\(400\) | −25.6005 | − | 7.64386i | −1.28002 | − | 0.382193i | ||||
\(401\) | −6.93768 | + | 12.0164i | −0.346451 | + | 0.600071i | −0.985616 | − | 0.168999i | \(-0.945947\pi\) |
0.639165 | + | 0.769069i | \(0.279280\pi\) | |||||||
\(402\) | 3.20077 | − | 2.21440i | 0.159640 | − | 0.110444i | ||||
\(403\) | 9.33700 | + | 2.50184i | 0.465109 | + | 0.124626i | ||||
\(404\) | −11.7113 | − | 9.25315i | −0.582660 | − | 0.460362i | ||||
\(405\) | 23.6757 | + | 19.6338i | 1.17646 | + | 0.975609i | ||||
\(406\) | −4.83736 | + | 5.43770i | −0.240074 | + | 0.269869i | ||||
\(407\) | −8.21033 | + | 4.74024i | −0.406971 | + | 0.234965i | ||||
\(408\) | −1.26828 | − | 0.0805844i | −0.0627892 | − | 0.00398952i | ||||
\(409\) | 15.7740 | + | 9.10712i | 0.779974 | + | 0.450318i | 0.836421 | − | 0.548087i | \(-0.184644\pi\) |
−0.0564472 | + | 0.998406i | \(0.517977\pi\) | |||||||
\(410\) | 46.8917 | − | 15.5477i | 2.31581 | − | 0.767847i | ||||
\(411\) | 4.77159 | + | 16.2828i | 0.235365 | + | 0.803170i | ||||
\(412\) | −18.2049 | + | 13.5634i | −0.896893 | + | 0.668222i | ||||
\(413\) | 1.61387 | − | 1.61387i | 0.0794134 | − | 0.0794134i | ||||
\(414\) | −12.0718 | − | 5.37224i | −0.593295 | − | 0.264031i | ||||
\(415\) | −11.9978 | −0.588950 | ||||||||
\(416\) | −0.248199 | − | 8.26983i | −0.0121690 | − | 0.405462i | ||||
\(417\) | 0.0222020 | + | 0.954156i | 0.00108724 | + | 0.0467252i | ||||
\(418\) | −2.20989 | − | 1.10934i | −0.108089 | − | 0.0542596i | ||||
\(419\) | 0.708792 | + | 2.64525i | 0.0346268 | + | 0.129229i | 0.981076 | − | 0.193625i | \(-0.0620245\pi\) |
−0.946449 | + | 0.322854i | \(0.895358\pi\) | |||||||
\(420\) | 35.6289 | − | 5.02038i | 1.73851 | − | 0.244969i | ||||
\(421\) | −5.57629 | + | 20.8110i | −0.271772 | + | 1.01427i | 0.686202 | + | 0.727411i | \(0.259276\pi\) |
−0.957974 | + | 0.286855i | \(0.907390\pi\) | |||||||
\(422\) | −8.66261 | − | 7.70623i | −0.421689 | − | 0.375133i | ||||
\(423\) | 1.69744 | + | 36.4549i | 0.0825322 | + | 1.77250i | ||||
\(424\) | −2.85015 | + | 4.07520i | −0.138416 | + | 0.197909i | ||||
\(425\) | 1.50054 | − | 0.866336i | 0.0727867 | − | 0.0420234i | ||||
\(426\) | −10.8009 | + | 3.86235i | −0.523306 | + | 0.187131i | ||||
\(427\) | 13.2557 | − | 3.55186i | 0.641489 | − | 0.171887i | ||||
\(428\) | −17.9164 | + | 7.12533i | −0.866023 | + | 0.344416i | ||||
\(429\) | −3.23228 | + | 13.2926i | −0.156056 | + | 0.641771i | ||||
\(430\) | 7.41279 | + | 11.2661i | 0.357477 | + | 0.543300i | ||||
\(431\) | 17.4155 | 0.838873 | 0.419436 | − | 0.907785i | \(-0.362228\pi\) | ||||
0.419436 | + | 0.907785i | \(0.362228\pi\) | |||||||
\(432\) | −20.7668 | + | 0.860997i | −0.999142 | + | 0.0414247i | ||||
\(433\) | −27.7567 | −1.33390 | −0.666952 | − | 0.745101i | \(-0.732401\pi\) | ||||
−0.666952 | + | 0.745101i | \(0.732401\pi\) | |||||||
\(434\) | −15.6145 | − | 23.7313i | −0.749522 | − | 1.13914i | ||||
\(435\) | −2.36819 | + | 9.73906i | −0.113546 | + | 0.466952i | ||||
\(436\) | 7.40264 | + | 18.6137i | 0.354522 | + | 0.891434i | ||||
\(437\) | −0.974016 | + | 0.260987i | −0.0465935 | + | 0.0124847i | ||||
\(438\) | −34.9672 | + | 12.5041i | −1.67080 | + | 0.597469i | ||||
\(439\) | 34.3074 | − | 19.8074i | 1.63740 | − | 0.945354i | 0.655677 | − | 0.755042i | \(-0.272383\pi\) |
0.981724 | − | 0.190312i | \(-0.0609499\pi\) | |||||||
\(440\) | −51.4007 | + | 9.09242i | −2.45043 | + | 0.433464i | ||||
\(441\) | −5.65028 | + | 3.62267i | −0.269061 | + | 0.172508i | ||||
\(442\) | 0.400887 | + | 0.356628i | 0.0190683 | + | 0.0169631i | ||||
\(443\) | 6.05978 | − | 22.6154i | 0.287909 | − | 1.07449i | −0.658779 | − | 0.752337i | \(-0.728927\pi\) |
0.946687 | − | 0.322154i | \(-0.104407\pi\) | |||||||
\(444\) | 0.848554 | + | 6.02207i | 0.0402706 | + | 0.285795i | ||||
\(445\) | 13.9267 | + | 51.9752i | 0.660190 | + | 2.46386i | ||||
\(446\) | −4.98052 | − | 2.50017i | −0.235834 | − | 0.118387i | ||||
\(447\) | −0.460975 | − | 19.8109i | −0.0218034 | − | 0.937025i | ||||
\(448\) | −15.6085 | + | 18.6430i | −0.737432 | + | 0.880799i | ||||
\(449\) | −1.41103 | −0.0665906 | −0.0332953 | − | 0.999446i | \(-0.510600\pi\) | ||||
−0.0332953 | + | 0.999446i | \(0.510600\pi\) | |||||||
\(450\) | 22.9230 | − | 16.6605i | 1.08060 | − | 0.785384i | ||||
\(451\) | 39.0312 | − | 39.0312i | 1.83791 | − | 1.83791i | ||||
\(452\) | 7.70335 | + | 10.3395i | 0.362335 | + | 0.486329i | ||||
\(453\) | 0.240596 | + | 0.821021i | 0.0113042 | + | 0.0385749i | ||||
\(454\) | −15.5246 | + | 5.14746i | −0.728608 | + | 0.241582i | ||||
\(455\) | −13.1562 | − | 7.59571i | −0.616770 | − | 0.356092i | ||||
\(456\) | −1.19047 | + | 1.04823i | −0.0557490 | + | 0.0490878i | ||||
\(457\) | −21.3692 | + | 12.3375i | −0.999609 | + | 0.577124i | −0.908132 | − | 0.418683i | \(-0.862492\pi\) |
−0.0914761 | + | 0.995807i | \(0.529159\pi\) | |||||||
\(458\) | 13.0144 | − | 14.6296i | 0.608123 | − | 0.683594i | ||||
\(459\) | 0.884339 | − | 1.01728i | 0.0412774 | − | 0.0474823i | ||||
\(460\) | −13.1967 | + | 16.7025i | −0.615300 | + | 0.778760i | ||||
\(461\) | 31.8645 | + | 8.53806i | 1.48408 | + | 0.397657i | 0.907733 | − | 0.419549i | \(-0.137812\pi\) |
0.576345 | + | 0.817207i | \(0.304479\pi\) | |||||||
\(462\) | 33.0616 | − | 22.8731i | 1.53816 | − | 1.06415i | ||||
\(463\) | −14.0805 | + | 24.3881i | −0.654376 | + | 1.13341i | 0.327674 | + | 0.944791i | \(0.393735\pi\) |
−0.982050 | + | 0.188621i | \(0.939598\pi\) | |||||||
\(464\) | −3.21884 | − | 5.95927i | −0.149431 | − | 0.276652i | ||||
\(465\) | −34.3261 | − | 18.7673i | −1.59183 | − | 0.870314i | ||||
\(466\) | −4.67945 | − | 7.11192i | −0.216771 | − | 0.329454i | ||||
\(467\) | 26.3173 | − | 26.3173i | 1.21782 | − | 1.21782i | 0.249427 | − | 0.968394i | \(-0.419758\pi\) |
0.968394 | − | 0.249427i | \(-0.0802423\pi\) | |||||||
\(468\) | 7.13116 | + | 5.11416i | 0.329638 | + | 0.236402i | ||||
\(469\) | 3.41481 | + | 3.41481i | 0.157681 | + | 0.157681i | ||||
\(470\) | 57.5810 | + | 11.8785i | 2.65601 | + | 0.547916i | ||||
\(471\) | −24.8331 | + | 0.577834i | −1.14425 | + | 0.0266252i | ||||
\(472\) | 0.898701 | + | 1.92451i | 0.0413661 | + | 0.0885829i | ||||
\(473\) | 13.0497 | + | 7.53422i | 0.600024 | + | 0.346424i | ||||
\(474\) | −2.33971 | + | 2.75663i | −0.107466 | + | 0.126616i | ||||
\(475\) | 0.559730 | − | 2.08894i | 0.0256822 | − | 0.0958472i | ||||
\(476\) | −0.183633 | − | 1.56611i | −0.00841678 | − | 0.0717824i | ||||
\(477\) | −1.60068 | − | 5.02591i | −0.0732901 | − | 0.230121i | ||||
\(478\) | 1.30820 | + | 22.3903i | 0.0598357 | + | 1.02411i | ||||
\(479\) | 1.55507 | + | 2.69347i | 0.0710531 | + | 0.123068i | 0.899363 | − | 0.437202i | \(-0.144031\pi\) |
−0.828310 | + | 0.560270i | \(0.810697\pi\) | |||||||
\(480\) | −6.93208 | + | 32.7591i | −0.316405 | + | 1.49524i | ||||
\(481\) | 1.28384 | − | 2.22368i | 0.0585381 | − | 0.101391i | ||||
\(482\) | 19.4720 | + | 9.77476i | 0.886926 | + | 0.445228i | ||||
\(483\) | 3.87374 | − | 15.9305i | 0.176261 | − | 0.724864i | ||||
\(484\) | −29.1278 | + | 21.7014i | −1.32399 | + | 0.986426i | ||||
\(485\) | 28.7250 | + | 28.7250i | 1.30434 | + | 1.30434i | ||||
\(486\) | 12.6420 | − | 18.0604i | 0.573453 | − | 0.819238i | ||||
\(487\) | − | 33.0078i | − | 1.49572i | −0.663854 | − | 0.747862i | \(-0.731080\pi\) | ||
0.663854 | − | 0.747862i | \(-0.268920\pi\) | |||||||
\(488\) | −1.10610 | + | 12.7232i | −0.0500709 | + | 0.575953i | ||||
\(489\) | −14.6403 | − | 24.0479i | −0.662058 | − | 1.08748i | ||||
\(490\) | 3.40306 | + | 10.2636i | 0.153734 | + | 0.463660i | ||||
\(491\) | −19.9915 | + | 5.35669i | −0.902202 | + | 0.241744i | −0.679962 | − | 0.733248i | \(-0.738004\pi\) |
−0.222240 | + | 0.974992i | \(0.571337\pi\) | |||||||
\(492\) | −13.8470 | − | 32.5890i | −0.624273 | − | 1.46923i | ||||
\(493\) | 0.424278 | + | 0.113685i | 0.0191085 | + | 0.00512011i | ||||
\(494\) | 0.668564 | − | 0.0390621i | 0.0300801 | − | 0.00175749i | ||||
\(495\) | 25.4224 | − | 49.1832i | 1.14265 | − | 2.21062i | ||||
\(496\) | 25.7196 | − | 6.11554i | 1.15484 | − | 0.274596i | ||||
\(497\) | −7.11636 | − | 12.3259i | −0.319212 | − | 0.552892i | ||||
\(498\) | 0.701150 | + | 8.57080i | 0.0314193 | + | 0.384067i | ||||
\(499\) | 9.38014 | + | 35.0072i | 0.419913 | + | 1.56714i | 0.774787 | + | 0.632222i | \(0.217857\pi\) |
−0.354875 | + | 0.934914i | \(0.615476\pi\) | |||||||
\(500\) | −4.24170 | − | 10.6656i | −0.189695 | − | 0.476981i | ||||
\(501\) | −17.4405 | + | 18.2715i | −0.779185 | + | 0.816310i | ||||
\(502\) | −5.10530 | − | 1.05319i | −0.227861 | − | 0.0470060i | ||||
\(503\) | 37.1847i | 1.65798i | 0.559261 | + | 0.828992i | \(0.311085\pi\) | ||||
−0.559261 | + | 0.828992i | \(0.688915\pi\) | |||||||
\(504\) | −5.66851 | − | 25.1586i | −0.252496 | − | 1.12065i | ||||
\(505\) | − | 25.5043i | − | 1.13493i | ||||||
\(506\) | −4.80536 | + | 23.2939i | −0.213625 | + | 1.03554i | ||||
\(507\) | 5.29018 | + | 18.0524i | 0.234945 | + | 0.801737i | ||||
\(508\) | 11.2150 | − | 26.0254i | 0.497584 | − | 1.15469i | ||||
\(509\) | −2.85800 | − | 10.6662i | −0.126679 | − | 0.472771i | 0.873215 | − | 0.487335i | \(-0.162031\pi\) |
−0.999894 | + | 0.0145635i | \(0.995364\pi\) | |||||||
\(510\) | −1.23549 | − | 1.78582i | −0.0547085 | − | 0.0790775i | ||||
\(511\) | −23.0387 | − | 39.9042i | −1.01917 | − | 1.76526i | ||||
\(512\) | −11.3460 | − | 19.5773i | −0.501425 | − | 0.865201i | ||||
\(513\) | −0.117326 | − | 1.67832i | −0.00518008 | − | 0.0740995i | ||||
\(514\) | 2.32780 | + | 39.8413i | 0.102675 | + | 1.75732i | ||||
\(515\) | −37.4704 | − | 10.0402i | −1.65115 | − | 0.442423i | ||||
\(516\) | 7.61489 | − | 5.95381i | 0.335227 | − | 0.262102i | ||||
\(517\) | 63.4534 | − | 17.0023i | 2.79068 | − | 0.747759i | ||||
\(518\) | −7.16246 | + | 2.37484i | −0.314701 | + | 0.104344i | ||||
\(519\) | −12.7174 | + | 23.2606i | −0.558233 | + | 1.02103i | ||||
\(520\) | 10.8249 | − | 9.09331i | 0.474704 | − | 0.398768i | ||||
\(521\) | − | 38.7570i | − | 1.69797i | −0.528413 | − | 0.848987i | \(-0.677213\pi\) | ||
0.528413 | − | 0.848987i | \(-0.322787\pi\) | |||||||
\(522\) | 7.09562 | + | 1.12260i | 0.310567 | + | 0.0491348i | ||||
\(523\) | −11.9219 | − | 11.9219i | −0.521310 | − | 0.521310i | 0.396657 | − | 0.917967i | \(-0.370170\pi\) |
−0.917967 | + | 0.396657i | \(0.870170\pi\) | |||||||
\(524\) | −17.8622 | − | 2.60975i | −0.780315 | − | 0.114008i | ||||
\(525\) | 25.4344 | + | 24.2777i | 1.11005 | + | 1.05957i | ||||
\(526\) | 3.79071 | − | 7.55136i | 0.165283 | − | 0.329255i | ||||
\(527\) | −0.857236 | + | 1.48478i | −0.0373418 | + | 0.0646779i | ||||
\(528\) | 9.49912 | + | 36.1873i | 0.413396 | + | 1.57485i | ||||
\(529\) | −6.65032 | − | 11.5187i | −0.289144 | − | 0.500812i | ||||
\(530\) | −8.48313 | + | 0.495644i | −0.368484 | + | 0.0215294i | ||||
\(531\) | −2.20085 | − | 0.481235i | −0.0955089 | − | 0.0208838i | ||||
\(532\) | −1.54428 | − | 1.22014i | −0.0669528 | − | 0.0528996i | ||||
\(533\) | −3.86932 | + | 14.4405i | −0.167599 | + | 0.625487i | ||||
\(534\) | 36.3153 | − | 12.9861i | 1.57152 | − | 0.561965i | ||||
\(535\) | −28.5329 | − | 16.4735i | −1.23358 | − | 0.712210i | ||||
\(536\) | −4.07211 | + | 1.90158i | −0.175888 | + | 0.0821356i | ||||
\(537\) | −16.5598 | − | 27.2009i | −0.714610 | − | 1.17381i | ||||
\(538\) | 3.00988 | − | 14.5903i | 0.129765 | − | 0.629034i | ||||
\(539\) | 8.54307 | + | 8.54307i | 0.367976 | + | 0.367976i | ||||
\(540\) | −23.1534 | − | 26.9311i | −0.996364 | − | 1.15893i | ||||
\(541\) | 15.9175 | − | 15.9175i | 0.684346 | − | 0.684346i | −0.276630 | − | 0.960976i | \(-0.589218\pi\) |
0.960976 | + | 0.276630i | \(0.0892177\pi\) | |||||||
\(542\) | −14.9414 | + | 9.83105i | −0.641790 | + | 0.422280i | ||||
\(543\) | −26.6627 | + | 16.2322i | −1.14421 | + | 0.696590i | ||||
\(544\) | 1.42819 | + | 0.337108i | 0.0612331 | + | 0.0144534i | ||||
\(545\) | −17.1146 | + | 29.6433i | −0.733108 | + | 1.26978i | ||||
\(546\) | −4.65724 | + | 9.84215i | −0.199312 | + | 0.421205i | ||||
\(547\) | −15.4827 | − | 4.14859i | −0.661994 | − | 0.177381i | −0.0878483 | − | 0.996134i | \(-0.527999\pi\) |
−0.574146 | + | 0.818753i | \(0.694666\pi\) | |||||||
\(548\) | −2.28166 | − | 19.4591i | −0.0974677 | − | 0.831251i | ||||
\(549\) | −10.0136 | − | 9.12253i | −0.427368 | − | 0.389340i | ||||
\(550\) | −38.1117 | − | 33.9041i | −1.62509 | − | 1.44567i | ||||
\(551\) | 0.474792 | − | 0.274121i | 0.0202268 | − | 0.0116780i | ||||
\(552\) | 12.7029 | + | 8.45115i | 0.540670 | + | 0.359705i | ||||
\(553\) | −3.88525 | − | 2.24315i | −0.165218 | − | 0.0953884i | ||||
\(554\) | 10.5289 | + | 31.7551i | 0.447332 | + | 1.34914i | ||||
\(555\) | −7.17523 | + | 7.51711i | −0.304572 | + | 0.319083i | ||||
\(556\) | 0.159325 | − | 1.09049i | 0.00675688 | − | 0.0462469i | ||||
\(557\) | 0.878593 | − | 0.878593i | 0.0372272 | − | 0.0372272i | −0.688248 | − | 0.725475i | \(-0.741620\pi\) |
0.725475 | + | 0.688248i | \(0.241620\pi\) | |||||||
\(558\) | −11.4007 | + | 25.6180i | −0.482629 | + | 1.08450i | ||||
\(559\) | −4.08112 | −0.172613 | ||||||||
\(560\) | −41.5304 | − | 1.17799i | −1.75498 | − | 0.0497793i | ||||
\(561\) | −2.12892 | − | 1.16396i | −0.0898830 | − | 0.0491423i | ||||
\(562\) | 15.3042 | − | 30.4871i | 0.645569 | − | 1.28602i | ||||
\(563\) | −4.88030 | − | 18.2135i | −0.205680 | − | 0.767609i | −0.989241 | − | 0.146294i | \(-0.953265\pi\) |
0.783561 | − | 0.621315i | \(-0.213401\pi\) | |||||||
\(564\) | 5.12056 | − | 41.8279i | 0.215614 | − | 1.76127i | ||||
\(565\) | −5.70232 | + | 21.2813i | −0.239898 | + | 0.895313i | ||||
\(566\) | −1.99239 | + | 2.23966i | −0.0837464 | + | 0.0941398i | ||||
\(567\) | 24.8573 | + | 11.4164i | 1.04391 | + | 0.479442i | ||||
\(568\) | 13.0428 | − | 2.30717i | 0.547262 | − | 0.0968068i | ||||
\(569\) | 23.9512 | − | 13.8282i | 1.00409 | − | 0.579710i | 0.0946316 | − | 0.995512i | \(-0.469833\pi\) |
0.909455 | + | 0.415803i | \(0.136499\pi\) | |||||||
\(570\) | −2.66653 | − | 0.485708i | −0.111689 | − | 0.0203441i | ||||
\(571\) | 24.9864 | − | 6.69509i | 1.04565 | − | 0.280181i | 0.305197 | − | 0.952289i | \(-0.401278\pi\) |
0.740453 | + | 0.672108i | \(0.234611\pi\) | |||||||
\(572\) | 6.25125 | − | 14.5066i | 0.261378 | − | 0.606552i | ||||
\(573\) | −4.84820 | + | 1.42074i | −0.202537 | + | 0.0593524i | ||||
\(574\) | 36.7025 | − | 24.1493i | 1.53193 | − | 1.00797i | ||||
\(575\) | −20.8019 | −0.867501 | ||||||||
\(576\) | 23.8070 | + | 3.03758i | 0.991958 | + | 0.126566i | ||||
\(577\) | −13.3014 | −0.553744 | −0.276872 | − | 0.960907i | \(-0.589298\pi\) | ||||
−0.276872 | + | 0.960907i | \(0.589298\pi\) | |||||||
\(578\) | 20.0046 | − | 13.1625i | 0.832080 | − | 0.547486i | ||||
\(579\) | 3.34365 | + | 3.19159i | 0.138957 | + | 0.132638i | ||||
\(580\) | 4.58010 | − | 10.6286i | 0.190178 | − | 0.441327i | ||||
\(581\) | −10.3065 | + | 2.76161i | −0.427585 | + | 0.114571i | ||||
\(582\) | 18.8414 | − | 22.1988i | 0.781001 | − | 0.920169i | ||||
\(583\) | −8.22260 | + | 4.74732i | −0.340545 | + | 0.196614i | ||||
\(584\) | 42.2251 | − | 7.46932i | 1.74729 | − | 0.309083i | ||||
\(585\) | 0.697452 | + | 14.9788i | 0.0288361 | + | 0.619297i | ||||
\(586\) | 1.93055 | − | 2.17014i | 0.0797503 | − | 0.0896477i | ||||
\(587\) | 8.65445 | − | 32.2988i | 0.357207 | − | 1.33312i | −0.520477 | − | 0.853876i | \(-0.674246\pi\) |
0.877684 | − | 0.479240i | \(-0.159088\pi\) | |||||||
\(588\) | 7.13302 | − | 3.03081i | 0.294161 | − | 0.124989i | ||||
\(589\) | 0.553851 | + | 2.06700i | 0.0228211 | + | 0.0851693i | ||||
\(590\) | −1.62828 | + | 3.24365i | −0.0670352 | + | 0.133539i | ||||
\(591\) | −22.8980 | + | 13.9402i | −0.941896 | + | 0.573424i | ||||
\(592\) | 0.199107 | − | 7.01955i | 0.00818324 | − | 0.288502i | ||||
\(593\) | 25.3926 | 1.04275 | 0.521374 | − | 0.853328i | \(-0.325420\pi\) | ||||
0.521374 | + | 0.853328i | \(0.325420\pi\) | |||||||
\(594\) | −36.6203 | − | 15.2866i | −1.50255 | − | 0.627215i | ||||
\(595\) | 1.90524 | − | 1.90524i | 0.0781073 | − | 0.0781073i | ||||
\(596\) | −3.30803 | + | 22.6415i | −0.135502 | + | 0.927432i | ||||
\(597\) | 7.66450 | + | 1.86373i | 0.313687 | + | 0.0762775i | ||||
\(598\) | −2.02734 | − | 6.11441i | −0.0829040 | − | 0.250037i | ||||
\(599\) | −4.74083 | − | 2.73712i | −0.193705 | − | 0.111836i | 0.400011 | − | 0.916510i | \(-0.369006\pi\) |
−0.593716 | + | 0.804675i | \(0.702340\pi\) | |||||||
\(600\) | −29.3184 | + | 14.5311i | −1.19692 | + | 0.593228i | ||||
\(601\) | 2.04493 | − | 1.18064i | 0.0834143 | − | 0.0481593i | −0.457713 | − | 0.889100i | \(-0.651331\pi\) |
0.541127 | + | 0.840941i | \(0.317998\pi\) | |||||||
\(602\) | 8.96099 | + | 7.97167i | 0.365223 | + | 0.324901i | ||||
\(603\) | 1.01825 | − | 4.65682i | 0.0414665 | − | 0.189640i | ||||
\(604\) | −0.115047 | − | 0.981179i | −0.00468121 | − | 0.0399236i | ||||
\(605\) | −59.9524 | − | 16.0642i | −2.43741 | − | 0.653103i | ||||
\(606\) | −18.2193 | + | 1.49046i | −0.740108 | + | 0.0605459i | ||||
\(607\) | −2.67439 | + | 4.63219i | −0.108550 | + | 0.188015i | −0.915183 | − | 0.403038i | \(-0.867954\pi\) |
0.806633 | + | 0.591053i | \(0.201288\pi\) | |||||||
\(608\) | 1.55801 | − | 0.962962i | 0.0631855 | − | 0.0390532i | ||||
\(609\) | 0.207353 | + | 8.91123i | 0.00840237 | + | 0.361101i | ||||
\(610\) | −18.2305 | + | 11.9952i | −0.738132 | + | 0.485670i | ||||
\(611\) | −12.5808 | + | 12.5808i | −0.508963 | + | 0.508963i | ||||
\(612\) | −1.20352 | + | 0.986951i | −0.0486495 | + | 0.0398951i | ||||
\(613\) | −0.799430 | − | 0.799430i | −0.0322887 | − | 0.0322887i | 0.690778 | − | 0.723067i | \(-0.257268\pi\) |
−0.723067 | + | 0.690778i | \(0.757268\pi\) | |||||||
\(614\) | −2.47972 | + | 12.0204i | −0.100073 | + | 0.485104i | ||||
\(615\) | 29.0253 | − | 53.0883i | 1.17041 | − | 2.14073i | ||||
\(616\) | −42.0618 | + | 19.6418i | −1.69472 | + | 0.791392i | ||||
\(617\) | 19.2117 | + | 11.0919i | 0.773432 | + | 0.446541i | 0.834098 | − | 0.551617i | \(-0.185989\pi\) |
−0.0606655 | + | 0.998158i | \(0.519322\pi\) | |||||||
\(618\) | −4.98256 | + | 27.3542i | −0.200428 | + | 1.10035i | ||||
\(619\) | −11.4867 | + | 42.8691i | −0.461691 | + | 1.72305i | 0.205943 | + | 0.978564i | \(0.433974\pi\) |
−0.667634 | + | 0.744490i | \(0.732693\pi\) | |||||||
\(620\) | 35.4452 | + | 28.0053i | 1.42351 | + | 1.12472i | ||||
\(621\) | −15.3012 | + | 5.26830i | −0.614018 | + | 0.211410i | ||||
\(622\) | −31.2548 | + | 1.82612i | −1.25320 | + | 0.0732208i | ||||
\(623\) | 23.9269 | + | 41.4426i | 0.958611 | + | 1.66036i | ||||
\(624\) | −7.12853 | − | 7.20150i | −0.285369 | − | 0.288291i | ||||
\(625\) | −6.89166 | + | 11.9367i | −0.275666 | + | 0.477468i | ||||
\(626\) | −2.84465 | + | 5.66675i | −0.113695 | + | 0.226489i | ||||
\(627\) | −2.90621 | + | 0.851650i | −0.116063 | + | 0.0340116i | ||||
\(628\) | 28.3812 | + | 4.14663i | 1.13253 | + | 0.165468i | ||||
\(629\) | 0.322028 | + | 0.322028i | 0.0128401 | + | 0.0128401i | ||||
\(630\) | 27.7267 | − | 34.2515i | 1.10466 | − | 1.36461i | ||||
\(631\) | 12.0156i | 0.478334i | 0.970978 | + | 0.239167i | \(0.0768744\pi\) | ||||
−0.970978 | + | 0.239167i | \(0.923126\pi\) | |||||||
\(632\) | 3.19679 | − | 2.68542i | 0.127162 | − | 0.106820i | ||||
\(633\) | −14.1962 | + | 0.330327i | −0.564247 | + | 0.0131293i | ||||
\(634\) | 0.0870993 | − | 0.0288793i | 0.00345916 | − | 0.00114694i | ||||
\(635\) | 46.7742 | − | 12.5331i | 1.85618 | − | 0.497361i | ||||
\(636\) | 0.849821 | + | 6.03107i | 0.0336976 | + | 0.239147i | ||||
\(637\) | −3.16071 | − | 0.846909i | −0.125232 | − | 0.0335557i | ||||
\(638\) | −0.754251 | − | 12.9093i | −0.0298611 | − | 0.511084i | ||||
\(639\) | −6.45086 | + | 12.4801i | −0.255192 | + | 0.493705i | ||||
\(640\) | 14.2292 | − | 35.9511i | 0.562458 | − | 1.42109i | ||||
\(641\) | −8.47322 | − | 14.6760i | −0.334672 | − | 0.579669i | 0.648750 | − | 0.761002i | \(-0.275292\pi\) |
−0.983422 | + | 0.181333i | \(0.941959\pi\) | |||||||
\(642\) | −10.1006 | + | 21.3455i | −0.398638 | + | 0.842441i | ||||
\(643\) | −5.96216 | − | 22.2511i | −0.235124 | − | 0.877496i | −0.978093 | − | 0.208170i | \(-0.933249\pi\) |
0.742968 | − | 0.669327i | \(-0.233417\pi\) | |||||||
\(644\) | −7.49183 | + | 17.3855i | −0.295220 | + | 0.685085i | ||||
\(645\) | 16.0494 | + | 3.90263i | 0.631943 | + | 0.153666i | ||||
\(646\) | −0.0239985 | + | 0.116332i | −0.000944207 | + | 0.00457703i | ||||
\(647\) | − | 30.4726i | − | 1.19800i | −0.800749 | − | 0.599000i | \(-0.795565\pi\) | ||
0.800749 | − | 0.599000i | \(-0.204435\pi\) | |||||||
\(648\) | −17.8855 | + | 18.1138i | −0.702609 | + | 0.711576i | ||||
\(649\) | 4.05524i | 0.159182i | ||||||||
\(650\) | 13.5305 | + | 2.79125i | 0.530710 | + | 0.109482i | ||||
\(651\) | −33.8069 | − | 8.22063i | −1.32500 | − | 0.322192i | ||||
\(652\) | 12.0137 | + | 30.2080i | 0.470492 | + | 1.18304i | ||||
\(653\) | 7.67978 | + | 28.6613i | 0.300533 | + | 1.12160i | 0.936723 | + | 0.350072i | \(0.113843\pi\) |
−0.636190 | + | 0.771533i | \(0.719490\pi\) | |||||||
\(654\) | 22.1763 | + | 10.4937i | 0.867160 | + | 0.410335i | ||||
\(655\) | −15.4231 | − | 26.7135i | −0.602629 | − | 1.04378i | ||||
\(656\) | 9.45821 | + | 39.7776i | 0.369281 | + | 1.55305i | ||||
\(657\) | −20.8842 | + | 40.4035i | −0.814771 | + | 1.57629i | ||||
\(658\) | 52.1978 | − | 3.04976i | 2.03488 | − | 0.118892i | ||||
\(659\) | −31.3170 | − | 8.39137i | −1.21994 | − | 0.326882i | −0.409284 | − | 0.912407i | \(-0.634222\pi\) |
−0.810654 | + | 0.585525i | \(0.800888\pi\) | |||||||
\(660\) | −38.4557 | + | 51.0706i | −1.49689 | + | 1.98792i | ||||
\(661\) | 2.79494 | − | 0.748903i | 0.108711 | − | 0.0291290i | −0.204054 | − | 0.978960i | \(-0.565412\pi\) |
0.312764 | + | 0.949831i | \(0.398745\pi\) | |||||||
\(662\) | −3.84691 | − | 11.6022i | −0.149514 | − | 0.450933i | ||||
\(663\) | 0.656968 | − | 0.0152868i | 0.0255145 | − | 0.000593691i | ||||
\(664\) | 0.860007 | − | 9.89245i | 0.0333747 | − | 0.383902i | ||||
\(665\) | − | 3.36304i | − | 0.130413i | ||||||
\(666\) | 5.78926 | + | 4.68642i | 0.224329 | + | 0.181595i | ||||
\(667\) | −3.72888 | − | 3.72888i | −0.144383 | − | 0.144383i | ||||
\(668\) | 23.3889 | − | 17.4257i | 0.904942 | − | 0.674219i | ||||
\(669\) | −6.54985 | + | 1.91940i | −0.253232 | + | 0.0742083i | ||||
\(670\) | −6.86329 | − | 3.44530i | −0.265152 | − | 0.133104i | ||||
\(671\) | −12.1917 | + | 21.1166i | −0.470654 | + | 0.815197i | ||||
\(672\) | 1.58551 | + | 29.7366i | 0.0611625 | + | 1.14711i | ||||
\(673\) | −5.83527 | − | 10.1070i | −0.224933 | − | 0.389595i | 0.731366 | − | 0.681985i | \(-0.238883\pi\) |
−0.956299 | + | 0.292389i | \(0.905550\pi\) | |||||||
\(674\) | 2.58578 | + | 44.2566i | 0.0996005 | + | 1.70470i | ||||
\(675\) | 6.62303 | − | 34.0690i | 0.254920 | − | 1.31131i | ||||
\(676\) | −2.52964 | − | 21.5740i | −0.0972938 | − | 0.829768i | ||||
\(677\) | −12.1843 | + | 45.4726i | −0.468282 | + | 1.74765i | 0.177489 | + | 0.984123i | \(0.443202\pi\) |
−0.645772 | + | 0.763531i | \(0.723464\pi\) | |||||||
\(678\) | 15.5358 | + | 2.82984i | 0.596650 | + | 0.108680i | ||||
\(679\) | 31.2874 | + | 18.0638i | 1.20070 | + | 0.693225i | ||||
\(680\) | 1.06095 | + | 2.27197i | 0.0406858 | + | 0.0871260i | ||||
\(681\) | −9.60955 | + | 17.5762i | −0.368239 | + | 0.673522i | ||||
\(682\) | 49.4330 | + | 10.1977i | 1.89289 | + | 0.390489i | ||||
\(683\) | 19.7598 | + | 19.7598i | 0.756087 | + | 0.756087i | 0.975608 | − | 0.219521i | \(-0.0704495\pi\) |
−0.219521 | + | 0.975608i | \(0.570449\pi\) | |||||||
\(684\) | −0.191140 | + | 1.93326i | −0.00730842 | + | 0.0739199i | ||||
\(685\) | 23.6729 | − | 23.6729i | 0.904495 | − | 0.904495i | ||||
\(686\) | −11.2522 | − | 17.1013i | −0.429610 | − | 0.652930i | ||||
\(687\) | −0.557861 | − | 23.9747i | −0.0212837 | − | 0.914692i | ||||
\(688\) | −9.82049 | + | 5.30444i | −0.374403 | + | 0.202230i | ||||
\(689\) | 1.28576 | − | 2.22700i | 0.0489835 | − | 0.0848420i | ||||
\(690\) | 2.12568 | + | 25.9841i | 0.0809232 | + | 0.989198i | ||||
\(691\) | −25.6957 | − | 6.88515i | −0.977511 | − | 0.261923i | −0.265515 | − | 0.964107i | \(-0.585542\pi\) |
−0.711996 | + | 0.702183i | \(0.752209\pi\) | |||||||
\(692\) | 18.9774 | − | 24.0189i | 0.721414 | − | 0.913063i | ||||
\(693\) | 10.5178 | − | 48.1014i | 0.399537 | − | 1.82722i | ||||
\(694\) | 2.39788 | − | 2.69547i | 0.0910222 | − | 0.102318i | ||||
\(695\) | 1.63086 | − | 0.941575i | 0.0618619 | − | 0.0357160i | ||||
\(696\) | −7.86030 | − | 2.65072i | −0.297944 | − | 0.100475i | ||||
\(697\) | −2.29634 | − | 1.32579i | −0.0869800 | − | 0.0502179i | ||||
\(698\) | 8.04209 | − | 2.66649i | 0.304398 | − | 0.100928i | ||||
\(699\) | −10.1314 | − | 2.46360i | −0.383206 | − | 0.0931820i | ||||
\(700\) | −24.2570 | − | 32.5580i | −0.916829 | − | 1.23058i | ||||
\(701\) | −32.6887 | + | 32.6887i | −1.23463 | + | 1.23463i | −0.272471 | + | 0.962164i | \(0.587841\pi\) |
−0.962164 | + | 0.272471i | \(0.912159\pi\) | |||||||
\(702\) | 10.6595 | − | 1.37359i | 0.402318 | − | 0.0518428i | ||||
\(703\) | 0.568427 | 0.0214386 | ||||||||
\(704\) | −3.81247 | − | 43.0326i | −0.143688 | − | 1.62185i | ||||
\(705\) | 61.5054 | − | 37.4444i | 2.31643 | − | 1.41024i | ||||
\(706\) | −0.326827 | − | 0.164064i | −0.0123003 | − | 0.00617462i | ||||
\(707\) | −5.87047 | − | 21.9089i | −0.220782 | − | 0.823969i | ||||
\(708\) | 2.41230 | + | 0.973623i | 0.0906597 | + | 0.0365910i | ||||
\(709\) | 11.4514 | − | 42.7374i | 0.430068 | − | 1.60504i | −0.322533 | − | 0.946558i | \(-0.604534\pi\) |
0.752601 | − | 0.658477i | \(-0.228799\pi\) | |||||||
\(710\) | 16.9100 | + | 15.0431i | 0.634623 | + | 0.564558i | ||||
\(711\) | 0.205970 | + | 4.42351i | 0.00772449 | + | 0.165894i | ||||
\(712\) | −43.8529 | + | 7.75727i | −1.64346 | + | 0.290716i | ||||
\(713\) | 17.8258 | − | 10.2917i | 0.667581 | − | 0.385428i | ||||
\(714\) | −1.47238 | − | 1.24969i | −0.0551023 | − | 0.0467685i | ||||
\(715\) | 26.0721 | − | 6.98599i | 0.975040 | − | 0.261261i | ||||
\(716\) | 13.5888 | + | 34.1687i | 0.507838 | + | 1.27694i | ||||
\(717\) | 19.8703 | + | 18.9666i | 0.742069 | + | 0.708320i | ||||
\(718\) | 8.79008 | + | 13.3593i | 0.328043 | + | 0.498566i | ||||
\(719\) | 5.93945 | 0.221504 | 0.110752 | − | 0.993848i | \(-0.464674\pi\) | ||||
0.110752 | + | 0.993848i | \(0.464674\pi\) | |||||||
\(720\) | 21.1470 | + | 35.1373i | 0.788101 | + | 1.30949i | ||||
\(721\) | −34.4992 | −1.28482 | ||||||||
\(722\) | −14.6880 | − | 22.3231i | −0.546629 | − | 0.830778i | ||||
\(723\) | 25.6075 | − | 7.50416i | 0.952355 | − | 0.279083i | ||||
\(724\) | 33.4927 | − | 13.3200i | 1.24474 | − | 0.495033i | ||||
\(725\) | 10.9244 | − | 2.92719i | 0.405722 | − | 0.108713i | ||||
\(726\) | −7.97206 | + | 43.7665i | −0.295871 | + | 1.62433i | ||||
\(727\) | −8.81201 | + | 5.08761i | −0.326819 | + | 0.188689i | −0.654428 | − | 0.756124i | \(-0.727091\pi\) |
0.327609 | + | 0.944813i | \(0.393757\pi\) | |||||||
\(728\) | 7.20585 | − | 10.3031i | 0.267067 | − | 0.381856i | ||||
\(729\) | −3.75663 | − | 26.7374i | −0.139134 | − | 0.990274i | ||||
\(730\) | 54.7451 | + | 48.7011i | 2.02621 | + | 1.80251i | ||||
\(731\) | 0.187345 | − | 0.699183i | 0.00692922 | − | 0.0258602i | ||||
\(732\) | 9.63429 | + | 12.3222i | 0.356093 | + | 0.455441i | ||||
\(733\) | −8.23211 | − | 30.7227i | −0.304060 | − | 1.13477i | −0.933752 | − | 0.357922i | \(-0.883485\pi\) |
0.629692 | − | 0.776845i | \(-0.283181\pi\) | |||||||
\(734\) | −35.5301 | − | 17.8357i | −1.31144 | − | 0.658329i | ||||
\(735\) | 11.6199 | + | 6.35301i | 0.428605 | + | 0.234334i | ||||
\(736\) | −12.8256 | − | 12.0782i | −0.472759 | − | 0.445208i | ||||
\(737\) | −8.58056 | −0.316069 | ||||||||
\(738\) | −39.6205 | − | 17.6321i | −1.45845 | − | 0.649048i | ||||
\(739\) | −24.0006 | + | 24.0006i | −0.882876 | + | 0.882876i | −0.993826 | − | 0.110950i | \(-0.964611\pi\) |
0.110950 | + | 0.993826i | \(0.464611\pi\) | |||||||
\(740\) | 9.62245 | − | 7.16912i | 0.353728 | − | 0.263542i | ||||
\(741\) | 0.566332 | − | 0.593315i | 0.0208047 | − | 0.0217960i | ||||
\(742\) | −7.17317 | + | 2.37839i | −0.263335 | + | 0.0873133i | ||||
\(743\) | −8.54415 | − | 4.93297i | −0.313454 | − | 0.180973i | 0.335017 | − | 0.942212i | \(-0.391258\pi\) |
−0.648471 | + | 0.761239i | \(0.724591\pi\) | |||||||
\(744\) | 17.9345 | − | 26.9573i | 0.657512 | − | 0.988303i | ||||
\(745\) | −33.8611 | + | 19.5497i | −1.24057 | + | 0.716246i | ||||
\(746\) | 28.2087 | − | 31.7095i | 1.03279 | − | 1.16097i | ||||
\(747\) | 7.78566 | + | 7.09287i | 0.284862 | + | 0.259515i | ||||
\(748\) | 2.19832 | + | 1.73690i | 0.0803787 | + | 0.0635074i | ||||
\(749\) | −28.3024 | − | 7.58360i | −1.03415 | − | 0.277099i | ||||
\(750\) | −12.7070 | − | 6.01286i | −0.463993 | − | 0.219558i | ||||
\(751\) | 22.9226 | − | 39.7031i | 0.836458 | − | 1.44879i | −0.0563807 | − | 0.998409i | \(-0.517956\pi\) |
0.892838 | − | 0.450378i | \(-0.148711\pi\) | |||||||
\(752\) | −13.9215 | + | 46.6252i | −0.507665 | + | 1.70025i | ||||
\(753\) | −5.45325 | + | 3.31993i | −0.198728 | + | 0.120985i | ||||
\(754\) | 1.92509 | + | 2.92578i | 0.0701075 | + | 0.106551i | ||||
\(755\) | 1.19365 | − | 1.19365i | 0.0434414 | − | 0.0434414i | ||||
\(756\) | −26.0883 | − | 17.8053i | −0.948823 | − | 0.647571i | ||||
\(757\) | −13.9071 | − | 13.9071i | −0.505462 | − | 0.505462i | 0.407668 | − | 0.913130i | \(-0.366342\pi\) |
−0.913130 | + | 0.407668i | \(0.866342\pi\) | |||||||
\(758\) | −45.0380 | − | 9.29102i | −1.63586 | − | 0.337465i | ||||
\(759\) | 15.1478 | + | 24.8815i | 0.549831 | + | 0.903143i | ||||
\(760\) | 2.94155 | + | 1.06881i | 0.106701 | + | 0.0387698i | ||||
\(761\) | 23.7610 | + | 13.7184i | 0.861334 | + | 0.497291i | 0.864459 | − | 0.502704i | \(-0.167661\pi\) |
−0.00312490 | + | 0.999995i | \(0.500995\pi\) | |||||||
\(762\) | −11.6867 | − | 32.6813i | −0.423363 | − | 1.18392i | ||||
\(763\) | −7.87873 | + | 29.4038i | −0.285229 | + | 1.06449i | ||||
\(764\) | 5.79396 | − | 0.679365i | 0.209618 | − | 0.0245786i | ||||
\(765\) | −2.59820 | − | 0.568118i | −0.0939381 | − | 0.0205404i | ||||
\(766\) | 0.223395 | + | 3.82349i | 0.00807158 | + | 0.138148i | ||||
\(767\) | −0.549159 | − | 0.951172i | −0.0198290 | − | 0.0343448i | ||||
\(768\) | −26.5137 | − | 8.06382i | −0.956730 | − | 0.290978i | ||||
\(769\) | −0.377145 | + | 0.653234i | −0.0136002 | + | 0.0235562i | −0.872745 | − | 0.488176i | \(-0.837663\pi\) |
0.859145 | + | 0.511732i | \(0.170996\pi\) | |||||||
\(770\) | −70.8926 | − | 35.5873i | −2.55479 | − | 1.28248i | ||||
\(771\) | 35.3570 | + | 33.7490i | 1.27335 | + | 1.21544i | ||||
\(772\) | −3.18887 | − | 4.28012i | −0.114770 | − | 0.154045i | ||||
\(773\) | 9.72090 | + | 9.72090i | 0.349637 | + | 0.349637i | 0.859974 | − | 0.510338i | \(-0.170480\pi\) |
−0.510338 | + | 0.859974i | \(0.670480\pi\) | |||||||
\(774\) | 1.84997 | − | 11.6931i | 0.0664959 | − | 0.420301i | ||||
\(775\) | 44.1447i | 1.58572i | ||||||||
\(776\) | −25.7434 | + | 21.6254i | −0.924134 | + | 0.776305i | ||||
\(777\) | −4.43347 | + | 8.10897i | −0.159050 | + | 0.290908i | ||||
\(778\) | 6.14274 | + | 18.5264i | 0.220228 | + | 0.664204i | ||||
\(779\) | −3.19680 | + | 0.856580i | −0.114537 | + | 0.0306902i | ||||
\(780\) | 2.10396 | − | 17.1865i | 0.0753339 | − | 0.615374i | ||||
\(781\) | 24.4267 | + | 6.54511i | 0.874056 | + | 0.234203i | ||||
\(782\) | 1.14059 | − | 0.0666414i | 0.0407875 | − | 0.00238309i | ||||
\(783\) | 7.29431 | − | 4.91986i | 0.260677 | − | 0.175822i | ||||
\(784\) | −8.70644 | + | 2.07019i | −0.310944 | + | 0.0739355i | ||||
\(785\) | 24.5056 | + | 42.4450i | 0.874644 | + | 1.51493i | ||||
\(786\) | −18.1818 | + | 12.5788i | −0.648524 | + | 0.448670i | ||||
\(787\) | 6.76494 | + | 25.2471i | 0.241144 | + | 0.899962i | 0.975282 | + | 0.220962i | \(0.0709198\pi\) |
−0.734138 | + | 0.679000i | \(0.762414\pi\) | |||||||
\(788\) | 28.7635 | − | 11.4392i | 1.02466 | − | 0.407505i | ||||
\(789\) | −2.91016 | − | 9.93075i | −0.103604 | − | 0.353544i | ||||
\(790\) | 6.98698 | + | 1.44136i | 0.248586 | + | 0.0512814i | ||||
\(791\) | 19.5938i | 0.696676i | ||||||||
\(792\) | 38.7303 | + | 24.4868i | 1.37622 | + | 0.870099i | ||||
\(793\) | − | 6.60396i | − | 0.234513i | ||||||
\(794\) | 1.17911 | − | 5.71570i | 0.0418450 | − | 0.202843i | ||||
\(795\) | −7.18596 | + | 7.52834i | −0.254860 | + | 0.267003i | ||||
\(796\) | −8.36452 | − | 3.60447i | −0.296473 | − | 0.127757i | ||||
\(797\) | 8.11835 | + | 30.2981i | 0.287567 | + | 1.07321i | 0.946943 | + | 0.321401i | \(0.104154\pi\) |
−0.659377 | + | 0.751813i | \(0.729180\pi\) | |||||||
\(798\) | −2.40243 | + | 0.196535i | −0.0850450 | + | 0.00695727i | ||||
\(799\) | −1.57783 | − | 2.73288i | −0.0558195 | − | 0.0966822i | ||||
\(800\) | 36.1867 | − | 10.8697i | 1.27939 | − | 0.384300i | ||||
\(801\) | 21.6893 | − | 41.9611i | 0.766355 | − | 1.48262i | ||||
\(802\) | −1.14454 | − | 19.5893i | −0.0404152 | − | 0.691722i | ||||
\(803\) | 79.0798 | + | 21.1894i | 2.79066 | + | 0.747756i | ||||
\(804\) | −2.06010 | + | 5.10422i | −0.0726543 | + | 0.180012i | ||||
\(805\) | −31.2462 | + | 8.37238i | −1.10128 | + | 0.295088i | ||||
\(806\) | −12.9757 | + | 4.30230i | −0.457048 | + | 0.151542i | ||||
\(807\) | −9.48796 | − | 15.5848i | −0.333992 | − | 0.548609i | ||||
\(808\) | 21.0288 | + | 1.82815i | 0.739790 | + | 0.0643141i | ||||
\(809\) | − | 6.53194i | − | 0.229651i | −0.993386 | − | 0.114825i | \(-0.963369\pi\) | ||
0.993386 | − | 0.114825i | \(-0.0366309\pi\) | |||||||
\(810\) | −43.2330 | − | 4.79156i | −1.51905 | − | 0.168358i | ||||
\(811\) | 4.79744 | + | 4.79744i | 0.168461 | + | 0.168461i | 0.786303 | − | 0.617842i | \(-0.211993\pi\) |
−0.617842 | + | 0.786303i | \(0.711993\pi\) | |||||||
\(812\) | 1.48800 | − | 10.1845i | 0.0522185 | − | 0.357405i | ||||
\(813\) | −5.17578 | + | 21.2851i | −0.181522 | + | 0.746501i | ||||
\(814\) | 6.01504 | − | 11.9824i | 0.210827 | − | 0.419983i | ||||
\(815\) | −27.7751 | + | 48.1080i | −0.972921 | + | 1.68515i | ||||
\(816\) | 1.56101 | − | 0.890679i | 0.0546462 | − | 0.0311800i | ||||
\(817\) | −0.451735 | − | 0.782427i | −0.0158042 | − | 0.0273737i | ||||
\(818\) | −25.7150 | + | 1.50245i | −0.899103 | + | 0.0525318i | ||||
\(819\) | 4.04689 | + | 12.7067i | 0.141410 | + | 0.444007i | ||||
\(820\) | −43.3127 | + | 54.8191i | −1.51255 | + | 1.91436i | ||||
\(821\) | 7.43764 | − | 27.7576i | 0.259575 | − | 0.968748i | −0.705912 | − | 0.708299i | \(-0.749463\pi\) |
0.965488 | − | 0.260449i | \(-0.0838706\pi\) | |||||||
\(822\) | −18.2945 | − | 15.5276i | −0.638093 | − | 0.541587i | ||||
\(823\) | −22.9167 | − | 13.2310i | −0.798826 | − | 0.461202i | 0.0442346 | − | 0.999021i | \(-0.485915\pi\) |
−0.843060 | + | 0.537819i | \(0.819248\pi\) | |||||||
\(824\) | 10.9642 | − | 30.1755i | 0.381957 | − | 1.05121i | ||||
\(825\) | −62.4570 | + | 1.45329i | −2.17447 | + | 0.0505972i | ||||
\(826\) | −0.652128 | + | 3.16118i | −0.0226904 | + | 0.109991i | ||||
\(827\) | −28.6969 | − | 28.6969i | −0.997888 | − | 0.997888i | 0.00211025 | − | 0.999998i | \(-0.499328\pi\) |
−0.999998 | + | 0.00211025i | \(0.999328\pi\) | |||||||
\(828\) | 18.4378 | − | 3.03701i | 0.640759 | − | 0.105543i | ||||
\(829\) | 16.5920 | − | 16.5920i | 0.576263 | − | 0.576263i | −0.357609 | − | 0.933872i | \(-0.616408\pi\) |
0.933872 | + | 0.357609i | \(0.116408\pi\) | |||||||
\(830\) | 14.1744 | − | 9.32638i | 0.492002 | − | 0.323724i | ||||
\(831\) | 35.9515 | + | 19.6560i | 1.24714 | + | 0.681858i | ||||
\(832\) | 6.72169 | + | 9.57717i | 0.233033 | + | 0.332029i | ||||
\(833\) | 0.290187 | − | 0.502618i | 0.0100544 | − | 0.0174147i | ||||
\(834\) | −0.767933 | − | 1.11000i | −0.0265913 | − | 0.0384360i | ||||
\(835\) | 48.1403 | + | 12.8992i | 1.66596 | + | 0.446394i | ||||
\(836\) | 3.47313 | − | 0.407239i | 0.120121 | − | 0.0140847i | ||||
\(837\) | 11.1801 | + | 32.4714i | 0.386441 | + | 1.12238i | ||||
\(838\) | −2.89363 | − | 2.57417i | −0.0999590 | − | 0.0889232i | ||||
\(839\) | −5.80231 | + | 3.34997i | −0.200318 | + | 0.115654i | −0.596804 | − | 0.802387i | \(-0.703563\pi\) |
0.396486 | + | 0.918041i | \(0.370230\pi\) | |||||||
\(840\) | −38.1900 | + | 33.6269i | −1.31768 | + | 1.16024i | ||||
\(841\) | −22.6317 | − | 13.0664i | −0.780405 | − | 0.450567i | ||||
\(842\) | −9.58928 | − | 28.9211i | −0.330469 | − | 0.996687i | ||||
\(843\) | −11.7492 | − | 40.0934i | −0.404663 | − | 1.38089i | ||||
\(844\) | 16.2245 | + | 2.37048i | 0.558470 | + | 0.0815951i | ||||
\(845\) | 26.2457 | − | 26.2457i | 0.902881 | − | 0.902881i | ||||
\(846\) | −30.3432 | − | 41.7489i | −1.04322 | − | 1.43536i | ||||
\(847\) | −55.1984 | −1.89664 | ||||||||
\(848\) | 0.199404 | − | 7.03004i | 0.00684757 | − | 0.241413i | ||||
\(849\) | 0.0854036 | + | 3.67032i | 0.00293104 | + | 0.125965i | ||||
\(850\) | −1.09932 | + | 2.18993i | −0.0377064 | + | 0.0751139i | ||||
\(851\) | −1.41512 | − | 5.28129i | −0.0485096 | − | 0.181040i | ||||
\(852\) | 9.75802 | − | 12.9590i | 0.334304 | − | 0.443969i | ||||
\(853\) | −5.16181 | + | 19.2641i | −0.176737 | + | 0.659592i | 0.819512 | + | 0.573062i | \(0.194245\pi\) |
−0.996249 | + | 0.0865300i | \(0.972422\pi\) | |||||||
\(854\) | −12.8995 | + | 14.5004i | −0.441413 | + | 0.496194i | ||||
\(855\) | −2.79451 | + | 1.79170i | −0.0955703 | + | 0.0612748i | ||||
\(856\) | 15.6280 | − | 22.3451i | 0.534153 | − | 0.763741i | ||||
\(857\) | −12.5164 | + | 7.22635i | −0.427552 | + | 0.246848i | −0.698303 | − | 0.715802i | \(-0.746061\pi\) |
0.270751 | + | 0.962649i | \(0.412728\pi\) | |||||||
\(858\) | −6.51417 | − | 18.2166i | −0.222390 | − | 0.621906i | ||||
\(859\) | −4.24540 | + | 1.13755i | −0.144851 | + | 0.0388127i | −0.330516 | − | 0.943800i | \(-0.607223\pi\) |
0.185665 | + | 0.982613i | \(0.440556\pi\) | |||||||
\(860\) | −17.5152 | − | 7.54771i | −0.597263 | − | 0.257375i | ||||
\(861\) | 12.7139 | − | 52.2853i | 0.433289 | − | 1.78188i | ||||
\(862\) | −20.5749 | + | 13.5377i | −0.700784 | + | 0.461096i | ||||
\(863\) | 43.8649 | 1.49318 | 0.746589 | − | 0.665286i | \(-0.231690\pi\) | ||||
0.746589 | + | 0.665286i | \(0.231690\pi\) | |||||||
\(864\) | 23.8649 | − | 17.1600i | 0.811901 | − | 0.583796i | ||||
\(865\) | 52.3071 | 1.77849 | ||||||||
\(866\) | 32.7922 | − | 21.5764i | 1.11433 | − | 0.733196i | ||||
\(867\) | 6.92967 | − | 28.4979i | 0.235344 | − | 0.967839i | ||||
\(868\) | 36.8946 | + | 15.8987i | 1.25228 | + | 0.539639i | ||||
\(869\) | 7.69955 | − | 2.06309i | 0.261189 | − | 0.0699855i | ||||
\(870\) | −4.77273 | − | 13.3468i | −0.161811 | − | 0.452498i | ||||
\(871\) | 2.01260 | − | 1.16198i | 0.0681943 | − | 0.0393720i | ||||
\(872\) | −23.2148 | − | 16.2362i | −0.786151 | − | 0.549826i | ||||
\(873\) | −1.65865 | − | 35.6220i | −0.0561369 | − | 1.20562i | ||||
\(874\) | 0.947843 | − | 1.06547i | 0.0320613 | − | 0.0360402i | ||||
\(875\) | 4.51450 | − | 16.8484i | 0.152618 | − | 0.569578i | ||||
\(876\) | 31.5909 | − | 41.9539i | 1.06736 | − | 1.41749i | ||||
\(877\) | −9.87004 | − | 36.8355i | −0.333288 | − | 1.24385i | −0.905714 | − | 0.423890i | \(-0.860664\pi\) |
0.572426 | − | 0.819956i | \(-0.306002\pi\) | |||||||
\(878\) | −25.1342 | + | 50.0692i | −0.848239 | + | 1.68975i | ||||
\(879\) | −0.0827529 | − | 3.55640i | −0.00279118 | − | 0.119954i | ||||
\(880\) | 53.6577 | − | 50.6977i | 1.80880 | − | 1.70902i | ||||
\(881\) | −17.2270 | −0.580392 | −0.290196 | − | 0.956967i | \(-0.593721\pi\) | ||||
−0.290196 | + | 0.956967i | \(0.593721\pi\) | |||||||
\(882\) | 3.85929 | − | 8.67206i | 0.129949 | − | 0.292004i | ||||
\(883\) | 8.52615 | − | 8.52615i | 0.286928 | − | 0.286928i | −0.548936 | − | 0.835864i | \(-0.684967\pi\) |
0.835864 | + | 0.548936i | \(0.184967\pi\) | |||||||
\(884\) | −0.750835 | − | 0.109701i | −0.0252533 | − | 0.00368963i | ||||
\(885\) | 1.25004 | + | 4.26570i | 0.0420197 | + | 0.143390i | ||||
\(886\) | 10.4207 | + | 31.4287i | 0.350091 | + | 1.05587i | ||||
\(887\) | 0.898979 | + | 0.519026i | 0.0301847 | + | 0.0174272i | 0.515016 | − | 0.857180i | \(-0.327786\pi\) |
−0.484832 | + | 0.874607i | \(0.661119\pi\) | |||||||
\(888\) | −5.68368 | − | 6.45495i | −0.190732 | − | 0.216614i | ||||
\(889\) | 37.2955 | − | 21.5326i | 1.25085 | − | 0.722180i | ||||
\(890\) | −56.8556 | − | 50.5786i | −1.90581 | − | 1.69540i | ||||
\(891\) | −45.5733 | + | 16.8869i | −1.52676 | + | 0.565731i | ||||
\(892\) | 7.82755 | − | 0.917813i | 0.262086 | − | 0.0307306i | ||||
\(893\) | −3.80452 | − | 1.01942i | −0.127313 | − | 0.0341135i | ||||
\(894\) | 15.9444 | + | 23.0466i | 0.533261 | + | 0.770794i | ||||
\(895\) | −31.4168 | + | 54.4155i | −1.05015 | + | 1.81891i | ||||
\(896\) | 3.94819 | − | 34.1582i | 0.131900 | − | 1.14115i | ||||
\(897\) | −6.92242 | − | 3.78474i | −0.231133 | − | 0.126369i | ||||
\(898\) | 1.66701 | − | 1.09685i | 0.0556289 | − | 0.0366023i | ||||
\(899\) | −7.91323 | + | 7.91323i | −0.263921 | + | 0.263921i | ||||
\(900\) | −14.1308 | + | 37.5020i | −0.471026 | + | 1.25007i | ||||
\(901\) | 0.322509 | + | 0.322509i | 0.0107443 | + | 0.0107443i | ||||
\(902\) | −15.7716 | + | 76.4525i | −0.525137 | + | 2.54559i | ||||
\(903\) | 14.6851 | − | 0.341705i | 0.488691 | − | 0.0113712i | ||||
\(904\) | −17.1382 | − | 6.22713i | −0.570006 | − | 0.207111i | ||||
\(905\) | 53.3389 | + | 30.7952i | 1.77304 | + | 1.02367i | ||||
\(906\) | −0.922456 | − | 0.782942i | −0.0306465 | − | 0.0260115i | ||||
\(907\) | −13.8612 | + | 51.7308i | −0.460255 | + | 1.71769i | 0.211907 | + | 0.977290i | \(0.432032\pi\) |
−0.672162 | + | 0.740404i | \(0.734634\pi\) | |||||||
\(908\) | 14.3397 | − | 18.1492i | 0.475881 | − | 0.602303i | ||||
\(909\) | −15.0776 | + | 16.5503i | −0.500093 | + | 0.548938i | ||||
\(910\) | 21.4473 | − | 1.25310i | 0.710972 | − | 0.0415399i | ||||
\(911\) | −24.2632 | − | 42.0250i | −0.803875 | − | 1.39235i | −0.917048 | − | 0.398777i | \(-0.869435\pi\) |
0.113173 | − | 0.993575i | \(-0.463898\pi\) | |||||||
\(912\) | 0.591614 | − | 2.16380i | 0.0195903 | − | 0.0716504i | ||||
\(913\) | 9.47916 | − | 16.4184i | 0.313714 | − | 0.543369i | ||||
\(914\) | 15.6555 | − | 31.1868i | 0.517837 | − | 1.03157i | ||||
\(915\) | −6.31513 | + | 25.9706i | −0.208772 | + | 0.858562i | ||||
\(916\) | −4.00330 | + | 27.4002i | −0.132273 | + | 0.905328i | ||||
\(917\) | −19.3977 | − | 19.3977i | −0.640567 | − | 0.640567i | ||||
\(918\) | −0.254004 | + | 1.88926i | −0.00838339 | + | 0.0623548i | ||||
\(919\) | 1.68133i | 0.0554620i | 0.999615 | + | 0.0277310i | \(0.00882819\pi\) | ||||
−0.999615 | + | 0.0277310i | \(0.991172\pi\) | |||||||
\(920\) | 2.60728 | − | 29.9910i | 0.0859596 | − | 0.988773i | ||||
\(921\) | 7.81676 | + | 12.8397i | 0.257571 | + | 0.423081i | ||||
\(922\) | −44.2822 | + | 14.6825i | −1.45836 | + | 0.483543i | ||||
\(923\) | −6.61571 | + | 1.77267i | −0.217759 | + | 0.0583482i | ||||
\(924\) | −21.2793 | + | 52.7227i | −0.700038 | + | 1.73445i | ||||
\(925\) | 11.3266 | + | 3.03496i | 0.372417 | + | 0.0997887i | ||||
\(926\) | −2.32293 | − | 39.7578i | −0.0763362 | − | 1.30652i | ||||
\(927\) | 18.3798 | + | 28.6671i | 0.603673 | + | 0.941550i | ||||
\(928\) | 8.43516 | + | 4.53824i | 0.276898 | + | 0.148975i | ||||
\(929\) | 11.7821 | + | 20.4072i | 0.386559 | + | 0.669540i | 0.991984 | − | 0.126363i | \(-0.0403303\pi\) |
−0.605425 | + | 0.795902i | \(0.706997\pi\) | |||||||
\(930\) | 55.1420 | − | 4.51099i | 1.80818 | − | 0.147921i | ||||
\(931\) | −0.187487 | − | 0.699709i | −0.00614462 | − | 0.0229320i | ||||
\(932\) | 11.0568 | + | 4.76462i | 0.362176 | + | 0.156070i | ||||
\(933\) | −26.4755 | + | 27.7370i | −0.866770 | + | 0.908069i | ||||
\(934\) | −10.6342 | + | 51.5492i | −0.347962 | + | 1.68674i | ||||
\(935\) | 4.78739i | 0.156564i | ||||||||
\(936\) | −12.4003 | − | 0.498619i | −0.405317 | − | 0.0162979i | ||||
\(937\) | 41.8215i | 1.36625i | 0.730302 | + | 0.683125i | \(0.239380\pi\) | ||||
−0.730302 | + | 0.683125i | \(0.760620\pi\) | |||||||
\(938\) | −6.68879 | − | 1.37985i | −0.218397 | − | 0.0450536i | ||||
\(939\) | 2.18386 | + | 7.45231i | 0.0712676 | + | 0.243197i | ||||
\(940\) | −77.2607 | + | 30.7265i | −2.51997 | + | 1.00219i | ||||
\(941\) | −7.02041 | − | 26.2005i | −0.228859 | − | 0.854113i | −0.980822 | − | 0.194907i | \(-0.937559\pi\) |
0.751963 | − | 0.659205i | \(-0.229107\pi\) | |||||||
\(942\) | 28.8890 | − | 19.9864i | 0.941255 | − | 0.651192i | ||||
\(943\) | 15.9171 | + | 27.5691i | 0.518331 | + | 0.897775i | ||||
\(944\) | −2.55774 | − | 1.57505i | −0.0832473 | − | 0.0512636i | ||||
\(945\) | −3.76379 | − | 53.8399i | −0.122436 | − | 1.75141i | ||||
\(946\) | −21.2737 | + | 1.24296i | −0.691668 | + | 0.0404121i | ||||
\(947\) | −8.69902 | − | 2.33090i | −0.282680 | − | 0.0757439i | 0.114693 | − | 0.993401i | \(-0.463412\pi\) |
−0.397373 | + | 0.917657i | \(0.630078\pi\) | |||||||
\(948\) | 0.621338 | − | 5.07547i | 0.0201801 | − | 0.164844i | ||||
\(949\) | −21.4179 | + | 5.73891i | −0.695254 | + | 0.186293i | ||||
\(950\) | 0.962542 | + | 2.90301i | 0.0312290 | + | 0.0941861i | ||||
\(951\) | 0.0539133 | − | 0.0986093i | 0.00174826 | − | 0.00319763i | ||||
\(952\) | 1.43434 | + | 1.70748i | 0.0464873 | + | 0.0553397i | ||||
\(953\) | 15.4588i | 0.500758i | 0.968148 | + | 0.250379i | \(0.0805553\pi\) | ||||
−0.968148 | + | 0.250379i | \(0.919445\pi\) | |||||||
\(954\) | 5.79791 | + | 4.69342i | 0.187714 | + | 0.151955i | ||||
\(955\) | 7.04862 | + | 7.04862i | 0.228088 | + | 0.228088i | ||||
\(956\) | −18.9504 | − | 25.4354i | −0.612901 | − | 0.822640i | ||||
\(957\) | −11.4563 | − | 10.9353i | −0.370331 | − | 0.353488i | ||||
\(958\) | −3.93093 | − | 1.97328i | −0.127002 | − | 0.0637539i | ||||
\(959\) | 14.8868 | − | 25.7846i | 0.480719 | − | 0.832629i | ||||
\(960\) | −17.2753 | − | 44.0907i | −0.557558 | − | 1.42302i | ||||
\(961\) | −6.34052 | − | 10.9821i | −0.204533 | − | 0.354261i | ||||
\(962\) | 0.211802 | + | 3.62507i | 0.00682876 | + | 0.116877i | ||||
\(963\) | 8.77684 | + | 27.5581i | 0.282830 | + | 0.888046i | ||||
\(964\) | −30.6029 | + | 3.58831i | −0.985652 | + | 0.115572i | ||||
\(965\) | 2.36052 | − | 8.80959i | 0.0759879 | − | 0.283591i | ||||
\(966\) | 7.80693 | + | 21.8318i | 0.251184 | + | 0.702427i | ||||
\(967\) | −38.0224 | − | 21.9523i | −1.22272 | − | 0.705937i | −0.257222 | − | 0.966352i | \(-0.582807\pi\) |
−0.965497 | + | 0.260415i | \(0.916141\pi\) | |||||||
\(968\) | 17.5427 | − | 48.2805i | 0.563842 | − | 1.55179i | ||||
\(969\) | 0.0756497 | + | 0.124261i | 0.00243022 | + | 0.00399184i | ||||
\(970\) | −56.2653 | − | 11.6071i | −1.80657 | − | 0.372682i | ||||
\(971\) | −13.7775 | − | 13.7775i | −0.442142 | − | 0.442142i | 0.450590 | − | 0.892731i | \(-0.351214\pi\) |
−0.892731 | + | 0.450590i | \(0.851214\pi\) | |||||||
\(972\) | −0.896386 | + | 31.1640i | −0.0287516 | + | 0.999587i | ||||
\(973\) | 1.18422 | − | 1.18422i | 0.0379645 | − | 0.0379645i | ||||
\(974\) | 25.6582 | + | 38.9959i | 0.822143 | + | 1.24951i | ||||
\(975\) | 14.4527 | − | 8.79877i | 0.462857 | − | 0.281786i | ||||
\(976\) | −8.58350 | − | 15.8912i | −0.274751 | − | 0.508666i | ||||
\(977\) | 8.47350 | − | 14.6765i | 0.271091 | − | 0.469544i | −0.698050 | − | 0.716049i | \(-0.745949\pi\) |
0.969142 | + | 0.246505i | \(0.0792822\pi\) | |||||||
\(978\) | 35.9897 | + | 17.0301i | 1.15082 | + | 0.544562i | ||||
\(979\) | −82.1284 | − | 22.0062i | −2.62484 | − | 0.703323i | ||||
\(980\) | −11.9987 | − | 9.48020i | −0.383284 | − | 0.302834i | ||||
\(981\) | 28.6306 | − | 9.11842i | 0.914104 | − | 0.291129i | ||||
\(982\) | 19.4543 | − | 21.8686i | 0.620810 | − | 0.697856i | ||||
\(983\) | 1.93132 | − | 1.11505i | 0.0615996 | − | 0.0355645i | −0.468884 | − | 0.883260i | \(-0.655344\pi\) |
0.530483 | + | 0.847695i | \(0.322010\pi\) | |||||||
\(984\) | 41.6918 | + | 27.7373i | 1.32909 | + | 0.884234i | ||||
\(985\) | 45.8075 | + | 26.4470i | 1.45955 | + | 0.842670i | ||||
\(986\) | −0.589620 | + | 0.195499i | −0.0187773 | + | 0.00622594i | ||||
\(987\) | 44.2161 | − | 46.3229i | 1.40741 | − | 1.47447i | ||||
\(988\) | −0.759487 | + | 0.565849i | −0.0241625 | + | 0.0180021i | ||||
\(989\) | −6.14496 | + | 6.14496i | −0.195399 | + | 0.195399i | ||||
\(990\) | 8.19760 | + | 77.8677i | 0.260537 | + | 2.47480i | ||||
\(991\) | −21.4329 | −0.680838 | −0.340419 | − | 0.940274i | \(-0.610569\pi\) | ||||
−0.340419 | + | 0.940274i | \(0.610569\pi\) | |||||||
\(992\) | −25.6317 | + | 27.2178i | −0.813807 | + | 0.864167i | ||||
\(993\) | −13.1354 | − | 7.18162i | −0.416840 | − | 0.227902i | ||||
\(994\) | 17.9888 | + | 9.03018i | 0.570569 | + | 0.286420i | ||||
\(995\) | −4.02812 | − | 15.0332i | −0.127700 | − | 0.476583i | ||||
\(996\) | −7.49077 | − | 9.58065i | −0.237354 | − | 0.303574i | ||||
\(997\) | 10.9118 | − | 40.7234i | 0.345581 | − | 1.28972i | −0.546352 | − | 0.837556i | \(-0.683984\pi\) |
0.891932 | − | 0.452169i | \(-0.149349\pi\) | |||||||
\(998\) | −38.2943 | − | 34.0665i | −1.21218 | − | 1.07836i | ||||
\(999\) | 9.10013 | − | 0.636164i | 0.287915 | − | 0.0201273i |
(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 | 144.2.x.e.85.5 | yes | 72 | |
3.2 | odd | 2 | 432.2.y.e.37.14 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.49.10 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.181.3 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.133.16 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.1009.2 | 72 | |||
16.3 | odd | 4 | 576.2.bb.e.337.18 | 72 | |||
16.13 | even | 4 | inner | 144.2.x.e.13.16 | ✓ | 72 | |
36.7 | odd | 6 | 576.2.bb.e.241.18 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.1585.17 | 72 | |||
48.29 | odd | 4 | 432.2.y.e.253.3 | 72 | |||
48.35 | even | 4 | 1728.2.bc.e.145.17 | 72 | |||
144.29 | odd | 12 | 432.2.y.e.397.14 | 72 | |||
144.61 | even | 12 | inner | 144.2.x.e.61.5 | yes | 72 | |
144.83 | even | 12 | 1728.2.bc.e.721.2 | 72 | |||
144.115 | odd | 12 | 576.2.bb.e.529.10 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.16 | ✓ | 72 | 16.13 | even | 4 | inner | |
144.2.x.e.61.5 | yes | 72 | 144.61 | even | 12 | inner | |
144.2.x.e.85.5 | yes | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.133.16 | yes | 72 | 9.7 | even | 3 | inner | |
432.2.y.e.37.14 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.181.3 | 72 | 9.2 | odd | 6 | |||
432.2.y.e.253.3 | 72 | 48.29 | odd | 4 | |||
432.2.y.e.397.14 | 72 | 144.29 | odd | 12 | |||
576.2.bb.e.49.10 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.241.18 | 72 | 36.7 | odd | 6 | |||
576.2.bb.e.337.18 | 72 | 16.3 | odd | 4 | |||
576.2.bb.e.529.10 | 72 | 144.115 | odd | 12 | |||
1728.2.bc.e.145.17 | 72 | 48.35 | even | 4 | |||
1728.2.bc.e.721.2 | 72 | 144.83 | even | 12 | |||
1728.2.bc.e.1009.2 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.1585.17 | 72 | 36.11 | even | 6 |