Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.88 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.88 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38225 | + | 0.298980i | 0.977397 | + | 0.211411i | ||||
\(3\) | 0.914527 | − | 1.47093i | 0.528003 | − | 0.849243i | ||||
\(4\) | 1.82122 | + | 0.826530i | 0.910611 | + | 0.413265i | ||||
\(5\) | 1.56322 | + | 1.78251i | 0.699093 | + | 0.797163i | 0.987038 | − | 0.160484i | \(-0.0513054\pi\) |
−0.287945 | + | 0.957647i | \(0.592972\pi\) | |||||||
\(6\) | 1.70388 | − | 1.75977i | 0.695608 | − | 0.718422i | ||||
\(7\) | −0.280581 | − | 0.0369393i | −0.106050 | − | 0.0139617i | 0.0773145 | − | 0.997007i | \(-0.475365\pi\) |
−0.183364 | + | 0.983045i | \(0.558699\pi\) | |||||||
\(8\) | 2.27026 | + | 1.68698i | 0.802660 | + | 0.596437i | ||||
\(9\) | −1.32728 | − | 2.69041i | −0.442427 | − | 0.896805i | ||||
\(10\) | 1.62782 | + | 2.93125i | 0.514763 | + | 0.926941i | ||||
\(11\) | −0.394839 | − | 0.800655i | −0.119049 | − | 0.241407i | 0.829189 | − | 0.558968i | \(-0.188803\pi\) |
−0.948238 | + | 0.317562i | \(0.897136\pi\) | |||||||
\(12\) | 2.88133 | − | 1.92301i | 0.831767 | − | 0.555125i | ||||
\(13\) | −0.474075 | − | 1.39658i | −0.131485 | − | 0.387342i | 0.861171 | − | 0.508315i | \(-0.169732\pi\) |
−0.992656 | + | 0.120974i | \(0.961398\pi\) | |||||||
\(14\) | −0.376789 | − | 0.134948i | −0.100701 | − | 0.0360663i | ||||
\(15\) | 4.05156 | − | 0.669235i | 1.04611 | − | 0.172796i | ||||
\(16\) | 2.63370 | + | 3.01059i | 0.658424 | + | 0.752647i | ||||
\(17\) | −3.08704 | − | 3.08704i | −0.748717 | − | 0.748717i | 0.225522 | − | 0.974238i | \(-0.427591\pi\) |
−0.974238 | + | 0.225522i | \(0.927591\pi\) | |||||||
\(18\) | −1.03025 | − | 4.11565i | −0.242832 | − | 0.970068i | ||||
\(19\) | −0.658744 | + | 3.31173i | −0.151126 | + | 0.759763i | 0.828666 | + | 0.559744i | \(0.189100\pi\) |
−0.979792 | + | 0.200019i | \(0.935900\pi\) | |||||||
\(20\) | 1.37367 | + | 4.53840i | 0.307162 | + | 1.01482i | ||||
\(21\) | −0.310935 | + | 0.378934i | −0.0678515 | + | 0.0826902i | ||||
\(22\) | −0.306386 | − | 1.22475i | −0.0653217 | − | 0.261118i | ||||
\(23\) | 1.11294 | + | 8.45365i | 0.232065 | + | 1.76271i | 0.570100 | + | 0.821575i | \(0.306904\pi\) |
−0.338035 | + | 0.941134i | \(0.609762\pi\) | |||||||
\(24\) | 4.55765 | − | 1.79661i | 0.930326 | − | 0.366732i | ||||
\(25\) | −0.0810571 | + | 0.615690i | −0.0162114 | + | 0.123138i | ||||
\(26\) | −0.237739 | − | 2.07216i | −0.0466245 | − | 0.406384i | ||||
\(27\) | −5.17125 | − | 0.508120i | −0.995207 | − | 0.0977877i | ||||
\(28\) | −0.480470 | − | 0.299184i | −0.0908002 | − | 0.0565404i | ||||
\(29\) | −5.19229 | + | 0.340321i | −0.964184 | + | 0.0631960i | −0.539356 | − | 0.842078i | \(-0.681332\pi\) |
−0.424828 | + | 0.905274i | \(0.639666\pi\) | |||||||
\(30\) | 5.80035 | + | 0.286288i | 1.05899 | + | 0.0522687i | ||||
\(31\) | 2.39713 | − | 1.38398i | 0.430536 | − | 0.248570i | −0.269039 | − | 0.963129i | \(-0.586706\pi\) |
0.699575 | + | 0.714559i | \(0.253373\pi\) | |||||||
\(32\) | 2.74031 | + | 4.94881i | 0.484424 | + | 0.874834i | ||||
\(33\) | −1.53880 | − | 0.151439i | −0.267871 | − | 0.0263622i | ||||
\(34\) | −3.34409 | − | 5.19002i | −0.573507 | − | 0.890081i | ||||
\(35\) | −0.372766 | − | 0.557884i | −0.0630090 | − | 0.0942996i | ||||
\(36\) | −0.193561 | − | 5.99688i | −0.0322602 | − | 0.999480i | ||||
\(37\) | −1.25131 | − | 6.29074i | −0.205713 | − | 1.03419i | −0.936254 | − | 0.351323i | \(-0.885732\pi\) |
0.730541 | − | 0.682869i | \(-0.239268\pi\) | |||||||
\(38\) | −1.90069 | + | 4.38068i | −0.308333 | + | 0.710640i | ||||
\(39\) | −2.48783 | − | 0.579879i | −0.398371 | − | 0.0928549i | ||||
\(40\) | 0.541863 | + | 6.68389i | 0.0856761 | + | 1.05682i | ||||
\(41\) | −0.793302 | − | 6.02573i | −0.123893 | − | 0.941060i | −0.934623 | − | 0.355640i | \(-0.884263\pi\) |
0.810730 | − | 0.585420i | \(-0.199070\pi\) | |||||||
\(42\) | −0.543083 | + | 0.430818i | −0.0837995 | + | 0.0664766i | ||||
\(43\) | 1.25123 | − | 0.617040i | 0.190811 | − | 0.0940978i | −0.344373 | − | 0.938833i | \(-0.611909\pi\) |
0.535185 | + | 0.844735i | \(0.320242\pi\) | |||||||
\(44\) | −0.0573243 | − | 1.78452i | −0.00864196 | − | 0.269026i | ||||
\(45\) | 2.72086 | − | 6.57160i | 0.405602 | − | 0.979636i | ||||
\(46\) | −0.989111 | + | 12.0178i | −0.145836 | + | 1.77193i | ||||
\(47\) | 4.62193 | − | 1.23844i | 0.674178 | − | 0.180646i | 0.0945421 | − | 0.995521i | \(-0.469861\pi\) |
0.579636 | + | 0.814875i | \(0.303195\pi\) | |||||||
\(48\) | 6.83696 | − | 1.12072i | 0.986830 | − | 0.161762i | ||||
\(49\) | −6.68412 | − | 1.79100i | −0.954874 | − | 0.255858i | ||||
\(50\) | −0.296120 | + | 0.826801i | −0.0418777 | + | 0.116927i | ||||
\(51\) | −7.36400 | + | 1.71764i | −1.03117 | + | 0.240518i | ||||
\(52\) | 0.290920 | − | 2.93532i | 0.0403434 | − | 0.407056i | ||||
\(53\) | −0.782797 | + | 1.17154i | −0.107525 | + | 0.160923i | −0.881330 | − | 0.472501i | \(-0.843351\pi\) |
0.773805 | + | 0.633424i | \(0.218351\pi\) | |||||||
\(54\) | −6.99603 | − | 2.24845i | −0.952039 | − | 0.305975i | ||||
\(55\) | 0.809956 | − | 1.95541i | 0.109214 | − | 0.263667i | ||||
\(56\) | −0.574678 | − | 0.557197i | −0.0767946 | − | 0.0744586i | ||||
\(57\) | 4.26889 | + | 3.99763i | 0.565428 | + | 0.529500i | ||||
\(58\) | −7.27879 | − | 1.08199i | −0.955751 | − | 0.142072i | ||||
\(59\) | 7.46266 | + | 8.50953i | 0.971555 | + | 1.10785i | 0.994140 | + | 0.108101i | \(0.0344771\pi\) |
−0.0225849 | + | 0.999745i | \(0.507190\pi\) | |||||||
\(60\) | 7.93193 | + | 2.12991i | 1.02401 | + | 0.274970i | ||||
\(61\) | −0.229552 | − | 3.50228i | −0.0293911 | − | 0.448421i | −0.987039 | − | 0.160480i | \(-0.948696\pi\) |
0.957648 | − | 0.287941i | \(-0.0929708\pi\) | |||||||
\(62\) | 3.72721 | − | 1.19631i | 0.473356 | − | 0.151932i | ||||
\(63\) | 0.273028 | + | 0.803909i | 0.0343983 | + | 0.101283i | ||||
\(64\) | 2.30820 | + | 7.65978i | 0.288525 | + | 0.957472i | ||||
\(65\) | 1.74834 | − | 3.02821i | 0.216854 | − | 0.375603i | ||||
\(66\) | −2.08173 | − | 0.669398i | −0.256243 | − | 0.0823972i | ||||
\(67\) | −11.6900 | − | 5.76485i | −1.42816 | − | 0.704289i | −0.446471 | − | 0.894798i | \(-0.647320\pi\) |
−0.981685 | + | 0.190509i | \(0.938986\pi\) | |||||||
\(68\) | −3.07065 | − | 8.17371i | −0.372371 | − | 0.991208i | ||||
\(69\) | 13.4526 | + | 6.09403i | 1.61950 | + | 0.733635i | ||||
\(70\) | −0.348459 | − | 0.882584i | −0.0416488 | − | 0.105489i | ||||
\(71\) | −0.728055 | − | 1.75768i | −0.0864042 | − | 0.208598i | 0.874771 | − | 0.484536i | \(-0.161012\pi\) |
−0.961175 | + | 0.275938i | \(0.911012\pi\) | |||||||
\(72\) | 1.52540 | − | 8.34704i | 0.179770 | − | 0.983709i | ||||
\(73\) | −4.44620 | + | 10.7341i | −0.520388 | + | 1.25633i | 0.417274 | + | 0.908781i | \(0.362985\pi\) |
−0.937662 | + | 0.347547i | \(0.887015\pi\) | |||||||
\(74\) | 0.151192 | − | 9.06948i | 0.0175757 | − | 1.05431i | ||||
\(75\) | 0.831508 | + | 0.682294i | 0.0960143 | + | 0.0787846i | ||||
\(76\) | −3.93696 | + | 5.48692i | −0.451601 | + | 0.629393i | ||||
\(77\) | 0.0812090 | + | 0.239234i | 0.00925463 | + | 0.0272633i | ||||
\(78\) | −3.26542 | − | 1.54535i | −0.369737 | − | 0.174976i | ||||
\(79\) | −0.222108 | − | 0.828919i | −0.0249891 | − | 0.0932606i | 0.952305 | − | 0.305148i | \(-0.0987058\pi\) |
−0.977294 | + | 0.211887i | \(0.932039\pi\) | |||||||
\(80\) | −1.24936 | + | 9.40080i | −0.139683 | + | 1.05104i | ||||
\(81\) | −5.47666 | + | 7.14186i | −0.608518 | + | 0.793540i | ||||
\(82\) | 0.705034 | − | 8.56623i | 0.0778579 | − | 0.945982i | ||||
\(83\) | −2.40655 | − | 2.11049i | −0.264153 | − | 0.231656i | 0.517016 | − | 0.855976i | \(-0.327043\pi\) |
−0.781169 | + | 0.624320i | \(0.785376\pi\) | |||||||
\(84\) | −0.879481 | + | 0.433126i | −0.0959593 | + | 0.0472580i | ||||
\(85\) | 0.676959 | − | 10.3284i | 0.0734265 | − | 1.12027i | ||||
\(86\) | 1.91400 | − | 0.478809i | 0.206392 | − | 0.0516313i | ||||
\(87\) | −4.24790 | + | 7.94874i | −0.455423 | + | 0.852194i | ||||
\(88\) | 0.454299 | − | 2.48378i | 0.0484284 | − | 0.264772i | ||||
\(89\) | −7.90377 | + | 3.27385i | −0.837798 | + | 0.347027i | −0.759985 | − | 0.649940i | \(-0.774794\pi\) |
−0.0778133 | + | 0.996968i | \(0.524794\pi\) | |||||||
\(90\) | 5.72569 | − | 8.27010i | 0.603540 | − | 0.871745i | ||||
\(91\) | 0.0814281 | + | 0.409367i | 0.00853598 | + | 0.0429133i | ||||
\(92\) | −4.96028 | + | 16.3159i | −0.517145 | + | 1.70105i | ||||
\(93\) | 0.156495 | − | 4.79170i | 0.0162278 | − | 0.496876i | ||||
\(94\) | 6.75893 | − | 0.329969i | 0.697131 | − | 0.0340337i | ||||
\(95\) | −6.93296 | + | 4.00274i | −0.711306 | + | 0.410673i | ||||
\(96\) | 9.78545 | + | 0.495003i | 0.998723 | + | 0.0505211i | ||||
\(97\) | −4.93566 | − | 2.84961i | −0.501140 | − | 0.289334i | 0.228044 | − | 0.973651i | \(-0.426767\pi\) |
−0.729184 | + | 0.684317i | \(0.760100\pi\) | |||||||
\(98\) | −8.70364 | − | 4.47403i | −0.879200 | − | 0.451946i | ||||
\(99\) | −1.63003 | + | 2.12497i | −0.163824 | + | 0.213568i | ||||
\(100\) | −0.656509 | + | 1.05431i | −0.0656509 | + | 0.105431i | ||||
\(101\) | 10.1233 | + | 3.43641i | 1.00731 | + | 0.341936i | 0.775856 | − | 0.630910i | \(-0.217318\pi\) |
0.231454 | + | 0.972846i | \(0.425652\pi\) | |||||||
\(102\) | −10.6924 | + | 0.172515i | −1.05871 | + | 0.0170815i | ||||
\(103\) | −2.41735 | − | 1.85490i | −0.238189 | − | 0.182769i | 0.482769 | − | 0.875748i | \(-0.339631\pi\) |
−0.720958 | + | 0.692979i | \(0.756298\pi\) | |||||||
\(104\) | 1.27973 | − | 3.97036i | 0.125488 | − | 0.389326i | ||||
\(105\) | −1.16151 | + | 0.0381134i | −0.113352 | + | 0.00371948i | ||||
\(106\) | −1.43229 | + | 1.38532i | −0.139116 | + | 0.134554i | ||||
\(107\) | 14.3013 | + | 9.55581i | 1.38256 | + | 0.923795i | 1.00000 | 0.000137598i | \(-4.37989e-5\pi\) | |
0.382556 | + | 0.923932i | \(0.375044\pi\) | |||||||
\(108\) | −8.99801 | − | 5.19959i | −0.865834 | − | 0.500331i | ||||
\(109\) | −2.49561 | + | 12.5463i | −0.239036 | + | 1.20171i | 0.655667 | + | 0.755051i | \(0.272388\pi\) |
−0.894702 | + | 0.446663i | \(0.852612\pi\) | |||||||
\(110\) | 1.70419 | − | 2.46070i | 0.162488 | − | 0.234618i | ||||
\(111\) | −10.3976 | − | 3.91247i | −0.986897 | − | 0.371355i | ||||
\(112\) | −0.627757 | − | 0.942002i | −0.0593175 | − | 0.0890109i | ||||
\(113\) | −8.15574 | − | 2.18532i | −0.767227 | − | 0.205578i | −0.146081 | − | 0.989273i | \(-0.546666\pi\) |
−0.621146 | + | 0.783695i | \(0.713333\pi\) | |||||||
\(114\) | 4.70545 | + | 6.80204i | 0.440706 | + | 0.637069i | ||||
\(115\) | −13.3290 | + | 15.1988i | −1.24293 | + | 1.41729i | ||||
\(116\) | −9.73760 | − | 3.67179i | −0.904113 | − | 0.340917i | ||||
\(117\) | −3.12815 | + | 3.12911i | −0.289197 | + | 0.289286i | ||||
\(118\) | 7.77106 | + | 13.9935i | 0.715384 | + | 1.28820i | ||||
\(119\) | 0.752133 | + | 0.980199i | 0.0689479 | + | 0.0898546i | ||||
\(120\) | 10.3271 | + | 5.31556i | 0.942731 | + | 0.485242i | ||||
\(121\) | 6.21123 | − | 8.09463i | 0.564657 | − | 0.735875i | ||||
\(122\) | 0.729816 | − | 4.90965i | 0.0660744 | − | 0.444499i | ||||
\(123\) | −9.58893 | − | 4.34380i | −0.864605 | − | 0.391667i | ||||
\(124\) | 5.50960 | − | 0.539239i | 0.494776 | − | 0.0484251i | ||||
\(125\) | 8.63233 | − | 5.76794i | 0.772099 | − | 0.515900i | ||||
\(126\) | 0.137040 | + | 1.19283i | 0.0122085 | + | 0.106266i | ||||
\(127\) | 8.66587 | 0.768971 | 0.384486 | − | 0.923131i | \(-0.374379\pi\) | ||||
0.384486 | + | 0.923131i | \(0.374379\pi\) | |||||||
\(128\) | 0.900381 | + | 11.2778i | 0.0795832 | + | 0.996828i | ||||
\(129\) | 0.236664 | − | 2.40478i | 0.0208371 | − | 0.211729i | ||||
\(130\) | 3.32201 | − | 3.66302i | 0.291359 | − | 0.321268i | ||||
\(131\) | 5.78463 | + | 2.85266i | 0.505405 | + | 0.249238i | 0.677072 | − | 0.735917i | \(-0.263249\pi\) |
−0.171667 | + | 0.985155i | \(0.554915\pi\) | |||||||
\(132\) | −2.67733 | − | 1.54767i | −0.233031 | − | 0.134707i | ||||
\(133\) | 0.307164 | − | 0.904876i | 0.0266345 | − | 0.0784627i | ||||
\(134\) | −14.4349 | − | 11.4635i | −1.24698 | − | 0.990298i | ||||
\(135\) | −7.17807 | − | 10.0121i | −0.617790 | − | 0.861705i | ||||
\(136\) | −1.80062 | − | 12.2162i | −0.154402 | − | 1.04753i | ||||
\(137\) | 12.1309 | + | 15.8093i | 1.03641 | + | 1.35068i | 0.934532 | + | 0.355879i | \(0.115818\pi\) |
0.101878 | + | 0.994797i | \(0.467515\pi\) | |||||||
\(138\) | 16.7728 | + | 12.4455i | 1.42779 | + | 1.05943i | ||||
\(139\) | −4.57573 | − | 0.299910i | −0.388109 | − | 0.0254380i | −0.129900 | − | 0.991527i | \(-0.541466\pi\) |
−0.258209 | + | 0.966089i | \(0.583132\pi\) | |||||||
\(140\) | −0.217782 | − | 1.32413i | −0.0184059 | − | 0.111910i | ||||
\(141\) | 2.40522 | − | 7.93114i | 0.202556 | − | 0.667922i | ||||
\(142\) | −0.480841 | − | 2.64722i | −0.0403513 | − | 0.222150i | ||||
\(143\) | −0.930995 | + | 0.930995i | −0.0778538 | + | 0.0778538i | ||||
\(144\) | 4.60408 | − | 11.0816i | 0.383674 | − | 0.923469i | ||||
\(145\) | −8.72332 | − | 8.72332i | −0.724432 | − | 0.724432i | ||||
\(146\) | −9.35503 | + | 13.5078i | −0.774227 | + | 1.11792i | ||||
\(147\) | −8.74725 | + | 8.19396i | −0.721461 | + | 0.675826i | ||||
\(148\) | 2.92058 | − | 12.4911i | 0.240070 | − | 1.02676i | ||||
\(149\) | −0.188602 | + | 2.87751i | −0.0154509 | + | 0.235735i | 0.983148 | + | 0.182813i | \(0.0585202\pi\) |
−0.998599 | + | 0.0529222i | \(0.983146\pi\) | |||||||
\(150\) | 0.945359 | + | 1.19170i | 0.0771882 | + | 0.0973023i | ||||
\(151\) | −18.6638 | + | 14.3213i | −1.51884 | + | 1.16545i | −0.583287 | + | 0.812266i | \(0.698234\pi\) |
−0.935555 | + | 0.353182i | \(0.885100\pi\) | |||||||
\(152\) | −7.08234 | + | 6.40721i | −0.574454 | + | 0.519694i | ||||
\(153\) | −4.20805 | + | 12.4028i | −0.340201 | + | 1.00270i | ||||
\(154\) | 0.0407248 | + | 0.354961i | 0.00328169 | + | 0.0286036i | ||||
\(155\) | 6.21420 | + | 2.10943i | 0.499136 | + | 0.169434i | ||||
\(156\) | −4.05160 | − | 3.11235i | −0.324388 | − | 0.249188i | ||||
\(157\) | 8.24170 | − | 16.7125i | 0.657759 | − | 1.33380i | −0.270806 | − | 0.962634i | \(-0.587290\pi\) |
0.928565 | − | 0.371169i | \(-0.121043\pi\) | |||||||
\(158\) | −0.0591781 | − | 1.21218i | −0.00470796 | − | 0.0964357i | ||||
\(159\) | 1.00736 | + | 2.22284i | 0.0798891 | + | 0.176283i | ||||
\(160\) | −4.53759 | + | 12.6207i | −0.358728 | + | 0.997755i | ||||
\(161\) | − | 2.41305i | − | 0.190175i | ||||||
\(162\) | −9.70538 | + | 8.23442i | −0.762527 | + | 0.646957i | ||||
\(163\) | −0.511679 | − | 0.765782i | −0.0400778 | − | 0.0599806i | 0.810890 | − | 0.585199i | \(-0.198984\pi\) |
−0.850967 | + | 0.525218i | \(0.823984\pi\) | |||||||
\(164\) | 3.53567 | − | 11.6299i | 0.276089 | − | 0.908140i | ||||
\(165\) | −2.13554 | − | 2.97966i | −0.166252 | − | 0.231966i | ||||
\(166\) | −2.69546 | − | 3.63673i | −0.209208 | − | 0.282265i | ||||
\(167\) | −10.8591 | − | 8.33249i | −0.840303 | − | 0.644787i | 0.0962329 | − | 0.995359i | \(-0.469321\pi\) |
−0.936536 | + | 0.350572i | \(0.885987\pi\) | |||||||
\(168\) | −1.34516 | + | 0.335741i | −0.103781 | + | 0.0259029i | ||||
\(169\) | 8.58790 | − | 6.58973i | 0.660608 | − | 0.506902i | ||||
\(170\) | 4.02371 | − | 14.0740i | 0.308605 | − | 1.07943i | ||||
\(171\) | 9.78426 | − | 2.62330i | 0.748221 | − | 0.200608i | ||||
\(172\) | 2.78878 | − | 0.0895843i | 0.212642 | − | 0.00683074i | ||||
\(173\) | 9.80365 | + | 8.59757i | 0.745358 | + | 0.653661i | 0.945321 | − | 0.326142i | \(-0.105749\pi\) |
−0.199963 | + | 0.979804i | \(0.564082\pi\) | |||||||
\(174\) | −8.24817 | + | 9.71709i | −0.625292 | + | 0.736651i | ||||
\(175\) | 0.0454862 | − | 0.169757i | 0.00343844 | − | 0.0128324i | ||||
\(176\) | 1.37056 | − | 3.29738i | 0.103310 | − | 0.248549i | ||||
\(177\) | 19.3417 | − | 3.19486i | 1.45381 | − | 0.240140i | ||||
\(178\) | −11.9038 | + | 2.16220i | −0.892227 | + | 0.162064i | ||||
\(179\) | 12.1802 | + | 2.42279i | 0.910389 | + | 0.181088i | 0.628001 | − | 0.778213i | \(-0.283873\pi\) |
0.282388 | + | 0.959300i | \(0.408873\pi\) | |||||||
\(180\) | 10.3869 | − | 9.71946i | 0.774195 | − | 0.724446i | ||||
\(181\) | 10.6257 | − | 15.9025i | 0.789801 | − | 1.18202i | −0.189948 | − | 0.981794i | \(-0.560832\pi\) |
0.979749 | − | 0.200227i | \(-0.0641680\pi\) | |||||||
\(182\) | −0.00983874 | + | 0.590192i | −0.000729296 | + | 0.0437479i | ||||
\(183\) | −5.36154 | − | 2.86528i | −0.396337 | − | 0.211807i | ||||
\(184\) | −11.7345 | + | 21.0695i | −0.865076 | + | 1.55327i | ||||
\(185\) | 9.25725 | − | 12.0643i | 0.680606 | − | 0.886983i | ||||
\(186\) | 1.64894 | − | 6.57652i | 0.120906 | − | 0.482214i | ||||
\(187\) | −1.25277 | + | 3.69054i | −0.0916115 | + | 0.269879i | ||||
\(188\) | 9.44118 | + | 1.56469i | 0.688569 | + | 0.114117i | ||||
\(189\) | 1.43219 | + | 0.333591i | 0.104176 | + | 0.0242652i | ||||
\(190\) | −10.7798 | + | 3.45997i | −0.782049 | + | 0.251012i | ||||
\(191\) | 9.42826 | − | 16.3302i | 0.682205 | − | 1.18161i | −0.292102 | − | 0.956387i | \(-0.594355\pi\) |
0.974307 | − | 0.225226i | \(-0.0723120\pi\) | |||||||
\(192\) | 13.3779 | + | 3.60987i | 0.965468 | + | 0.260520i | ||||
\(193\) | −8.15861 | − | 14.1311i | −0.587270 | − | 1.01718i | −0.994588 | − | 0.103895i | \(-0.966869\pi\) |
0.407319 | − | 0.913286i | \(-0.366464\pi\) | |||||||
\(194\) | −5.97033 | − | 5.41453i | −0.428645 | − | 0.388740i | ||||
\(195\) | −2.85538 | − | 5.34106i | −0.204478 | − | 0.382481i | ||||
\(196\) | −10.6929 | − | 8.78644i | −0.763782 | − | 0.627603i | ||||
\(197\) | 6.54473 | − | 1.30183i | 0.466293 | − | 0.0927513i | 0.0436482 | − | 0.999047i | \(-0.486102\pi\) |
0.422644 | + | 0.906296i | \(0.361102\pi\) | |||||||
\(198\) | −2.88843 | + | 2.44990i | −0.205272 | + | 0.174106i | ||||
\(199\) | −8.30544 | − | 20.0511i | −0.588757 | − | 1.42138i | −0.884692 | − | 0.466177i | \(-0.845631\pi\) |
0.295935 | − | 0.955208i | \(-0.404369\pi\) | |||||||
\(200\) | −1.22268 | + | 1.26104i | −0.0864563 | + | 0.0891687i | ||||
\(201\) | −19.1705 | + | 11.9230i | −1.35218 | + | 0.840985i | ||||
\(202\) | 12.9656 | + | 7.77666i | 0.912253 | + | 0.547164i | ||||
\(203\) | 1.46943 | + | 0.0963117i | 0.103134 | + | 0.00675975i | ||||
\(204\) | −14.8312 | − | 2.95837i | −1.03839 | − | 0.207127i | ||||
\(205\) | 9.50082 | − | 10.8336i | 0.663566 | − | 0.756652i | ||||
\(206\) | −2.78680 | − | 3.28667i | −0.194166 | − | 0.228993i | ||||
\(207\) | 21.2666 | − | 14.2146i | 1.47813 | − | 0.987986i | ||||
\(208\) | 2.95596 | − | 5.10541i | 0.204959 | − | 0.353997i | ||||
\(209\) | 2.91165 | − | 0.780175i | 0.201403 | − | 0.0539658i | ||||
\(210\) | −1.61690 | − | 0.294588i | −0.111576 | − | 0.0203285i | ||||
\(211\) | −4.10765 | + | 1.39436i | −0.282782 | + | 0.0959915i | −0.459227 | − | 0.888319i | \(-0.651874\pi\) |
0.176445 | + | 0.984310i | \(0.443540\pi\) | |||||||
\(212\) | −2.39396 | + | 1.48663i | −0.164418 | + | 0.102102i | ||||
\(213\) | −3.25125 | − | 0.536527i | −0.222772 | − | 0.0367623i | ||||
\(214\) | 16.9109 | + | 17.4843i | 1.15601 | + | 1.19520i | ||||
\(215\) | 3.05584 | + | 1.26577i | 0.208406 | + | 0.0863247i | ||||
\(216\) | −10.8829 | − | 9.87736i | −0.740488 | − | 0.672069i | ||||
\(217\) | −0.723712 | + | 0.299771i | −0.0491288 | + | 0.0203498i | ||||
\(218\) | −7.20063 | + | 16.5959i | −0.487688 | + | 1.12402i | ||||
\(219\) | 11.7229 | + | 16.3567i | 0.792161 | + | 1.10528i | ||||
\(220\) | 3.09131 | − | 2.89177i | 0.208416 | − | 0.194963i | ||||
\(221\) | −2.84781 | + | 5.77478i | −0.191564 | + | 0.388454i | ||||
\(222\) | −13.2023 | − | 8.51668i | −0.886082 | − | 0.571602i | ||||
\(223\) | 5.58809 | + | 3.22628i | 0.374206 | + | 0.216048i | 0.675294 | − | 0.737548i | \(-0.264017\pi\) |
−0.301088 | + | 0.953596i | \(0.597350\pi\) | |||||||
\(224\) | −0.586076 | − | 1.48977i | −0.0391589 | − | 0.0995393i | ||||
\(225\) | 1.76405 | − | 0.599115i | 0.117603 | − | 0.0399410i | ||||
\(226\) | −10.6199 | − | 5.45907i | −0.706424 | − | 0.363132i | ||||
\(227\) | 16.1500 | − | 1.05853i | 1.07191 | − | 0.0702568i | 0.480787 | − | 0.876837i | \(-0.340351\pi\) |
0.591124 | + | 0.806581i | \(0.298684\pi\) | |||||||
\(228\) | 4.47042 | + | 10.8089i | 0.296061 | + | 0.715840i | ||||
\(229\) | −3.11745 | + | 2.73393i | −0.206007 | + | 0.180663i | −0.756132 | − | 0.654419i | \(-0.772913\pi\) |
0.550125 | + | 0.835082i | \(0.314580\pi\) | |||||||
\(230\) | −22.9681 | + | 17.0234i | −1.51447 | + | 1.12249i | ||||
\(231\) | 0.426165 | + | 0.0993332i | 0.0280396 | + | 0.00653564i | ||||
\(232\) | −12.3620 | − | 7.98667i | −0.811604 | − | 0.524351i | ||||
\(233\) | −18.2178 | − | 7.54608i | −1.19349 | − | 0.494360i | −0.304601 | − | 0.952480i | \(-0.598523\pi\) |
−0.888890 | + | 0.458120i | \(0.848523\pi\) | |||||||
\(234\) | −5.25942 | + | 3.38995i | −0.343819 | + | 0.221608i | ||||
\(235\) | 9.43264 | + | 6.30269i | 0.615318 | + | 0.411142i | ||||
\(236\) | 6.55777 | + | 21.6658i | 0.426874 | + | 1.41033i | ||||
\(237\) | −1.42241 | − | 0.431363i | −0.0923952 | − | 0.0280200i | ||||
\(238\) | 0.746574 | + | 1.57975i | 0.0483932 | + | 0.102400i | ||||
\(239\) | −3.86535 | + | 14.4257i | −0.250029 | + | 0.933121i | 0.720760 | + | 0.693185i | \(0.243793\pi\) |
−0.970789 | + | 0.239936i | \(0.922874\pi\) | |||||||
\(240\) | 12.6854 | + | 10.4350i | 0.818837 | + | 0.673578i | ||||
\(241\) | 3.12221 | + | 11.6522i | 0.201119 | + | 0.750587i | 0.990597 | + | 0.136809i | \(0.0436845\pi\) |
−0.789478 | + | 0.613778i | \(0.789649\pi\) | |||||||
\(242\) | 11.0056 | − | 9.33175i | 0.707466 | − | 0.599868i | ||||
\(243\) | 5.49664 | + | 14.5872i | 0.352610 | + | 0.935771i | ||||
\(244\) | 2.47668 | − | 6.56816i | 0.158553 | − | 0.420483i | ||||
\(245\) | −7.25626 | − | 14.7142i | −0.463586 | − | 0.940059i | ||||
\(246\) | −11.9556 | − | 8.87111i | −0.762259 | − | 0.565601i | ||||
\(247\) | 4.93739 | − | 0.650020i | 0.314159 | − | 0.0413598i | ||||
\(248\) | 7.77685 | + | 0.901899i | 0.493831 | + | 0.0572707i | ||||
\(249\) | −5.30524 | + | 1.60977i | −0.336206 | + | 0.102015i | ||||
\(250\) | 13.6565 | − | 5.39183i | 0.863714 | − | 0.341009i | ||||
\(251\) | 5.00926 | − | 0.996405i | 0.316182 | − | 0.0628925i | −0.0344483 | − | 0.999406i | \(-0.510967\pi\) |
0.350630 | + | 0.936514i | \(0.385967\pi\) | |||||||
\(252\) | −0.167210 | + | 1.68976i | −0.0105333 | + | 0.106445i | ||||
\(253\) | 6.32903 | − | 4.22892i | 0.397903 | − | 0.265870i | ||||
\(254\) | 11.9784 | + | 2.59092i | 0.751591 | + | 0.162569i | ||||
\(255\) | −14.5733 | − | 10.4414i | −0.912614 | − | 0.653863i | ||||
\(256\) | −2.12730 | + | 15.8580i | −0.132956 | + | 0.991122i | ||||
\(257\) | −3.92886 | − | 6.80498i | −0.245076 | − | 0.424483i | 0.717077 | − | 0.696994i | \(-0.245479\pi\) |
−0.962153 | + | 0.272510i | \(0.912146\pi\) | |||||||
\(258\) | 1.04611 | − | 3.25325i | 0.0651280 | − | 0.202538i | ||||
\(259\) | 0.118718 | + | 1.81129i | 0.00737678 | + | 0.112548i | ||||
\(260\) | 5.68701 | − | 4.06998i | 0.352693 | − | 0.252410i | ||||
\(261\) | 7.80723 | + | 13.5177i | 0.483255 | + | 0.836725i | ||||
\(262\) | 7.14291 | + | 5.67258i | 0.441290 | + | 0.350453i | ||||
\(263\) | 7.60242 | + | 1.00088i | 0.468785 | + | 0.0617167i | 0.361219 | − | 0.932481i | \(-0.382361\pi\) |
0.107567 | + | 0.994198i | \(0.465694\pi\) | |||||||
\(264\) | −3.23801 | − | 2.93973i | −0.199286 | − | 0.180928i | ||||
\(265\) | −3.31196 | + | 0.436028i | −0.203452 | + | 0.0267850i | ||||
\(266\) | 0.695117 | − | 1.15893i | 0.0426204 | − | 0.0710584i | ||||
\(267\) | −2.41261 | + | 14.6199i | −0.147649 | + | 0.894726i | ||||
\(268\) | −16.5252 | − | 20.1612i | −1.00944 | − | 1.23154i | ||||
\(269\) | 23.9760 | + | 4.76913i | 1.46184 | + | 0.290779i | 0.861007 | − | 0.508593i | \(-0.169834\pi\) |
0.600837 | + | 0.799372i | \(0.294834\pi\) | |||||||
\(270\) | −6.92845 | − | 15.9853i | −0.421652 | − | 0.972836i | ||||
\(271\) | −5.86160 | + | 5.86160i | −0.356067 | + | 0.356067i | −0.862361 | − | 0.506294i | \(-0.831015\pi\) |
0.506294 | + | 0.862361i | \(0.331015\pi\) | |||||||
\(272\) | 1.16349 | − | 17.4241i | 0.0705467 | − | 1.05649i | ||||
\(273\) | 0.676618 | + | 0.254602i | 0.0409508 | + | 0.0154092i | ||||
\(274\) | 12.0412 | + | 25.4792i | 0.727436 | + | 1.53926i | ||||
\(275\) | 0.524960 | − | 0.178200i | 0.0316563 | − | 0.0107458i | ||||
\(276\) | 19.4632 | + | 22.2175i | 1.17155 | + | 1.33734i | ||||
\(277\) | 10.6315 | − | 5.24288i | 0.638785 | − | 0.315014i | −0.0939002 | − | 0.995582i | \(-0.529933\pi\) |
0.732685 | + | 0.680568i | \(0.238267\pi\) | |||||||
\(278\) | −6.23514 | − | 1.78260i | −0.373959 | − | 0.106914i | ||||
\(279\) | −6.90514 | − | 4.61233i | −0.413400 | − | 0.276133i | ||||
\(280\) | 0.0948612 | − | 1.89539i | 0.00566904 | − | 0.113271i | ||||
\(281\) | −1.35312 | + | 10.2780i | −0.0807204 | + | 0.613133i | 0.902497 | + | 0.430696i | \(0.141732\pi\) |
−0.983218 | + | 0.182437i | \(0.941602\pi\) | |||||||
\(282\) | 5.69587 | − | 10.2437i | 0.339184 | − | 0.610003i | ||||
\(283\) | 0.197211 | − | 0.172949i | 0.0117230 | − | 0.0102808i | −0.653464 | − | 0.756957i | \(-0.726685\pi\) |
0.665187 | + | 0.746677i | \(0.268352\pi\) | |||||||
\(284\) | 0.126827 | − | 3.80288i | 0.00752577 | − | 0.225660i | ||||
\(285\) | −0.452615 | + | 13.8585i | −0.0268106 | + | 0.820908i | ||||
\(286\) | −1.56522 | + | 1.00852i | −0.0925532 | + | 0.0596349i | ||||
\(287\) | 1.72001i | 0.101529i | ||||||||
\(288\) | 9.67717 | − | 13.9410i | 0.570233 | − | 0.821483i | ||||
\(289\) | 2.05960i | 0.121153i | ||||||||
\(290\) | −9.44969 | − | 14.6659i | −0.554905 | − | 0.861211i | ||||
\(291\) | −8.70537 | + | 4.65398i | −0.510318 | + | 0.272821i | ||||
\(292\) | −16.9695 | + | 15.8742i | −0.993068 | + | 0.928967i | ||||
\(293\) | −13.0855 | + | 11.4757i | −0.764463 | + | 0.670416i | −0.950010 | − | 0.312219i | \(-0.898928\pi\) |
0.185547 | + | 0.982635i | \(0.440594\pi\) | |||||||
\(294\) | −14.5407 | + | 8.71083i | −0.848032 | + | 0.508026i | ||||
\(295\) | −3.50255 | + | 26.6045i | −0.203927 | + | 1.54898i | ||||
\(296\) | 7.77156 | − | 16.3926i | 0.451713 | − | 0.952799i | ||||
\(297\) | 1.63498 | + | 4.34101i | 0.0948714 | + | 0.251891i | ||||
\(298\) | −1.12101 | + | 3.92105i | −0.0649386 | + | 0.227140i | ||||
\(299\) | 11.2786 | − | 5.56198i | 0.652258 | − | 0.321658i | ||||
\(300\) | 0.950424 | + | 1.92988i | 0.0548728 | + | 0.111421i | ||||
\(301\) | −0.373866 | + | 0.126910i | −0.0215493 | + | 0.00731500i | ||||
\(302\) | −30.0798 | + | 14.2154i | −1.73090 | + | 0.818006i | ||||
\(303\) | 14.3128 | − | 11.7481i | 0.822249 | − | 0.674908i | ||||
\(304\) | −11.7052 | + | 6.73888i | −0.671339 | + | 0.386501i | ||||
\(305\) | 5.88401 | − | 5.88401i | 0.336918 | − | 0.336918i | ||||
\(306\) | −9.52475 | + | 15.8856i | −0.544494 | + | 0.908119i | ||||
\(307\) | 8.46987 | + | 1.68476i | 0.483401 | + | 0.0961545i | 0.430774 | − | 0.902460i | \(-0.358241\pi\) |
0.0526270 | + | 0.998614i | \(0.483241\pi\) | |||||||
\(308\) | −0.0498346 | + | 0.502820i | −0.00283959 | + | 0.0286508i | ||||
\(309\) | −4.93916 | + | 1.85940i | −0.280979 | + | 0.105778i | ||||
\(310\) | 7.95888 | + | 4.77369i | 0.452034 | + | 0.271127i | ||||
\(311\) | 27.0108 | − | 3.55604i | 1.53164 | − | 0.201644i | 0.682923 | − | 0.730490i | \(-0.260708\pi\) |
0.848718 | + | 0.528846i | \(0.177375\pi\) | |||||||
\(312\) | −4.66978 | − | 5.51339i | −0.264374 | − | 0.312134i | ||||
\(313\) | 0.00553620 | 0.000728855i | 0.000312925 | 4.11973e-5i | 0.130683 | − | 0.991424i | \(-0.458283\pi\) | ||
−0.130370 | + | 0.991465i | \(0.541616\pi\) | |||||||
\(314\) | 16.3888 | − | 20.6367i | 0.924872 | − | 1.16460i | ||||
\(315\) | −1.00617 | + | 1.74336i | −0.0566915 | + | 0.0982274i | ||||
\(316\) | 0.280618 | − | 1.69322i | 0.0157860 | − | 0.0952513i | ||||
\(317\) | 0.582939 | + | 8.89394i | 0.0327411 | + | 0.499533i | 0.982465 | + | 0.186445i | \(0.0596968\pi\) |
−0.949724 | + | 0.313088i | \(0.898637\pi\) | |||||||
\(318\) | 0.727840 | + | 3.37371i | 0.0408152 | + | 0.189188i | ||||
\(319\) | 2.32260 | + | 4.02286i | 0.130041 | + | 0.225237i | ||||
\(320\) | −10.0454 | + | 16.0883i | −0.561556 | + | 0.899364i | ||||
\(321\) | 27.1348 | − | 12.2972i | 1.51452 | − | 0.686360i | ||||
\(322\) | 0.721455 | − | 3.33544i | 0.0402051 | − | 0.185877i | ||||
\(323\) | 12.2570 | − | 8.18987i | 0.681998 | − | 0.455696i | ||||
\(324\) | −15.8772 | + | 8.48029i | −0.882065 | + | 0.471127i | ||||
\(325\) | 0.898287 | − | 0.178680i | 0.0498280 | − | 0.00991140i | ||||
\(326\) | −0.478314 | − | 1.21148i | −0.0264913 | − | 0.0670978i | ||||
\(327\) | 16.1724 | + | 15.1448i | 0.894335 | + | 0.837507i | ||||
\(328\) | 8.36427 | − | 15.0183i | 0.461840 | − | 0.829246i | ||||
\(329\) | −1.34258 | + | 0.176754i | −0.0740186 | + | 0.00974474i | ||||
\(330\) | −2.06099 | − | 4.75712i | −0.113454 | − | 0.261871i | ||||
\(331\) | −2.11916 | − | 4.29723i | −0.116479 | − | 0.236197i | 0.830824 | − | 0.556536i | \(-0.187870\pi\) |
−0.947303 | + | 0.320339i | \(0.896203\pi\) | |||||||
\(332\) | −2.63848 | − | 5.83275i | −0.144805 | − | 0.320114i | ||||
\(333\) | −15.2639 | + | 11.7161i | −0.836455 | + | 0.642039i | ||||
\(334\) | −12.5187 | − | 14.7642i | −0.684995 | − | 0.807863i | ||||
\(335\) | −7.99808 | − | 29.8492i | −0.436982 | − | 1.63084i | ||||
\(336\) | −1.95972 | + | 0.0619010i | −0.106912 | + | 0.00337698i | ||||
\(337\) | −0.194727 | + | 0.726733i | −0.0106075 | + | 0.0395877i | −0.971027 | − | 0.238971i | \(-0.923190\pi\) |
0.960419 | + | 0.278559i | \(0.0898566\pi\) | |||||||
\(338\) | 13.8408 | − | 6.54103i | 0.752841 | − | 0.355785i | ||||
\(339\) | −10.6731 | + | 9.99800i | −0.579684 | + | 0.543017i | ||||
\(340\) | 9.76963 | − | 18.2508i | 0.529832 | − | 0.989787i | ||||
\(341\) | −2.05457 | − | 1.37282i | −0.111261 | − | 0.0743424i | ||||
\(342\) | 14.3086 | − | 0.700746i | 0.773720 | − | 0.0378920i | ||||
\(343\) | 3.63950 | + | 1.50753i | 0.196515 | + | 0.0813991i | ||||
\(344\) | 3.88157 | + | 0.709962i | 0.209280 | + | 0.0382786i | ||||
\(345\) | 10.1666 | + | 33.5057i | 0.547354 | + | 1.80388i | ||||
\(346\) | 10.9806 | + | 14.8151i | 0.590320 | + | 0.796464i | ||||
\(347\) | −22.4283 | + | 19.6690i | −1.20401 | + | 1.05589i | −0.207023 | + | 0.978336i | \(0.566378\pi\) |
−0.996988 | + | 0.0775538i | \(0.975289\pi\) | |||||||
\(348\) | −14.3062 | + | 10.9654i | −0.766895 | + | 0.587807i | ||||
\(349\) | 23.8609 | − | 1.56392i | 1.27724 | − | 0.0837149i | 0.588366 | − | 0.808594i | \(-0.299771\pi\) |
0.688876 | + | 0.724880i | \(0.258105\pi\) | |||||||
\(350\) | 0.113627 | − | 0.221047i | 0.00607363 | − | 0.0118154i | ||||
\(351\) | 1.74193 | + | 7.46295i | 0.0929773 | + | 0.398343i | ||||
\(352\) | 2.88030 | − | 4.14803i | 0.153521 | − | 0.221091i | ||||
\(353\) | −26.4211 | − | 15.2542i | −1.40625 | − | 0.811902i | −0.411230 | − | 0.911531i | \(-0.634901\pi\) |
−0.995025 | + | 0.0996297i | \(0.968234\pi\) | |||||||
\(354\) | 27.6903 | + | 1.36671i | 1.47172 | + | 0.0726397i | ||||
\(355\) | 1.99497 | − | 4.04541i | 0.105882 | − | 0.214708i | ||||
\(356\) | −17.1005 | − | 0.570302i | −0.906323 | − | 0.0302259i | ||||
\(357\) | 2.12965 | − | 0.209918i | 0.112713 | − | 0.0111100i | ||||
\(358\) | 16.1117 | + | 6.99053i | 0.851528 | + | 0.369461i | ||||
\(359\) | −4.36180 | + | 1.80672i | −0.230207 | + | 0.0953550i | −0.494805 | − | 0.869004i | \(-0.664761\pi\) |
0.264598 | + | 0.964359i | \(0.414761\pi\) | |||||||
\(360\) | 17.2632 | − | 10.3292i | 0.909852 | − | 0.544398i | ||||
\(361\) | 7.02010 | + | 2.90782i | 0.369479 | + | 0.153043i | ||||
\(362\) | 19.4419 | − | 18.8043i | 1.02184 | − | 0.988332i | ||||
\(363\) | −6.22631 | − | 16.5390i | −0.326796 | − | 0.868075i | ||||
\(364\) | −0.190055 | + | 0.812850i | −0.00996160 | + | 0.0426049i | ||||
\(365\) | −26.0840 | + | 8.85432i | −1.36530 | + | 0.463456i | ||||
\(366\) | −6.55433 | − | 5.56352i | −0.342600 | − | 0.290810i | ||||
\(367\) | 11.6608 | − | 3.12449i | 0.608687 | − | 0.163097i | 0.0587074 | − | 0.998275i | \(-0.481302\pi\) |
0.549980 | + | 0.835178i | \(0.314635\pi\) | |||||||
\(368\) | −22.5193 | + | 25.6150i | −1.17390 | + | 1.33527i | ||||
\(369\) | −15.1588 | + | 10.1321i | −0.789134 | + | 0.527458i | ||||
\(370\) | 16.4028 | − | 13.9081i | 0.852741 | − | 0.723048i | ||||
\(371\) | 0.262914 | − | 0.299796i | 0.0136498 | − | 0.0155646i | ||||
\(372\) | 4.24549 | − | 8.59739i | 0.220119 | − | 0.445754i | ||||
\(373\) | −18.2779 | − | 1.19800i | −0.946394 | − | 0.0620300i | −0.415616 | − | 0.909540i | \(-0.636434\pi\) |
−0.530779 | + | 0.847510i | \(0.678100\pi\) | |||||||
\(374\) | −2.83504 | + | 4.72669i | −0.146596 | + | 0.244411i | ||||
\(375\) | −0.589741 | − | 17.9725i | −0.0304541 | − | 0.928096i | ||||
\(376\) | 12.5822 | + | 4.98552i | 0.648880 | + | 0.257108i | ||||
\(377\) | 2.93682 | + | 7.09011i | 0.151254 | + | 0.365159i | ||||
\(378\) | 1.87990 | + | 0.889302i | 0.0966917 | + | 0.0457407i | ||||
\(379\) | 22.6557 | − | 4.50650i | 1.16375 | − | 0.231483i | 0.424825 | − | 0.905276i | \(-0.360336\pi\) |
0.738921 | + | 0.673792i | \(0.235336\pi\) | |||||||
\(380\) | −15.9348 | + | 1.55958i | −0.817440 | + | 0.0800050i | ||||
\(381\) | 7.92517 | − | 12.7469i | 0.406019 | − | 0.653043i | ||||
\(382\) | 17.9146 | − | 19.7536i | 0.916591 | − | 1.01068i | ||||
\(383\) | −15.7213 | − | 27.2300i | −0.803319 | − | 1.39139i | −0.917420 | − | 0.397920i | \(-0.869732\pi\) |
0.114101 | − | 0.993469i | \(-0.463601\pi\) | |||||||
\(384\) | 17.4123 | + | 8.98948i | 0.888569 | + | 0.458742i | ||||
\(385\) | −0.299490 | + | 0.518731i | −0.0152634 | + | 0.0264370i | ||||
\(386\) | −7.05230 | − | 21.9720i | −0.358953 | − | 1.11835i | ||||
\(387\) | −3.32083 | − | 2.54735i | −0.168807 | − | 0.129489i | ||||
\(388\) | −6.63365 | − | 9.26924i | −0.336772 | − | 0.470574i | ||||
\(389\) | −11.9318 | + | 35.1498i | −0.604964 | + | 1.78217i | 0.0179029 | + | 0.999840i | \(0.494301\pi\) |
−0.622867 | + | 0.782328i | \(0.714032\pi\) | |||||||
\(390\) | −2.34998 | − | 8.23637i | −0.118996 | − | 0.417065i | ||||
\(391\) | 22.6610 | − | 29.5325i | 1.14602 | − | 1.49352i | ||||
\(392\) | −12.1533 | − | 15.3420i | −0.613836 | − | 0.774889i | ||||
\(393\) | 9.48628 | − | 5.89996i | 0.478519 | − | 0.297613i | ||||
\(394\) | 9.43566 | + | 0.157296i | 0.475362 | + | 0.00792448i | ||||
\(395\) | 1.13035 | − | 1.69169i | 0.0568742 | − | 0.0851183i | ||||
\(396\) | −4.72500 | + | 2.52278i | −0.237440 | + | 0.126774i | ||||
\(397\) | 24.0270 | + | 4.77926i | 1.20588 | + | 0.239864i | 0.756811 | − | 0.653634i | \(-0.226756\pi\) |
0.449067 | + | 0.893498i | \(0.351756\pi\) | |||||||
\(398\) | −5.48529 | − | 30.1988i | −0.274953 | − | 1.51373i | ||||
\(399\) | −1.05010 | − | 1.27935i | −0.0525708 | − | 0.0640477i | ||||
\(400\) | −2.06707 | + | 1.37751i | −0.103353 | + | 0.0688755i | ||||
\(401\) | 3.78543 | − | 14.1274i | 0.189035 | − | 0.705489i | −0.804695 | − | 0.593688i | \(-0.797671\pi\) |
0.993731 | − | 0.111801i | \(-0.0356619\pi\) | |||||||
\(402\) | −30.0631 | + | 10.7490i | −1.49941 | + | 0.536110i | ||||
\(403\) | −3.06926 | − | 2.69167i | −0.152891 | − | 0.134081i | ||||
\(404\) | 15.5966 | + | 14.6257i | 0.775957 | + | 0.727657i | ||||
\(405\) | −21.2917 | + | 1.40210i | −1.05799 | + | 0.0696711i | ||||
\(406\) | 2.00232 | + | 0.572458i | 0.0993737 | + | 0.0284106i | ||||
\(407\) | −4.54265 | + | 3.48570i | −0.225171 | + | 0.172780i | ||||
\(408\) | −19.6159 | − | 8.52342i | −0.971130 | − | 0.421972i | ||||
\(409\) | 19.1490 | + | 14.6936i | 0.946858 | + | 0.726550i | 0.961918 | − | 0.273337i | \(-0.0881273\pi\) |
−0.0150602 | + | 0.999887i | \(0.504794\pi\) | |||||||
\(410\) | 16.3715 | − | 12.1342i | 0.808532 | − | 0.599264i | ||||
\(411\) | 34.3483 | − | 3.38568i | 1.69428 | − | 0.167003i | ||||
\(412\) | −2.86940 | − | 5.37620i | −0.141365 | − | 0.264866i | ||||
\(413\) | −1.77955 | − | 2.66328i | −0.0875658 | − | 0.131051i | ||||
\(414\) | 33.6457 | − | 13.2899i | 1.65360 | − | 0.653161i | ||||
\(415\) | − | 7.58886i | − | 0.372522i | ||||||
\(416\) | 5.61229 | − | 6.17317i | 0.275165 | − | 0.302665i | ||||
\(417\) | −4.62578 | + | 6.45632i | −0.226525 | + | 0.316167i | ||||
\(418\) | 4.25788 | − | 0.207869i | 0.208260 | − | 0.0101672i | ||||
\(419\) | 12.2686 | − | 24.8783i | 0.599361 | − | 1.21538i | −0.359934 | − | 0.932978i | \(-0.617201\pi\) |
0.959295 | − | 0.282406i | \(-0.0911326\pi\) | |||||||
\(420\) | −2.14688 | − | 0.890613i | −0.104757 | − | 0.0434575i | ||||
\(421\) | 10.5560 | + | 3.58327i | 0.514467 | + | 0.174638i | 0.566586 | − | 0.824003i | \(-0.308264\pi\) |
−0.0521186 | + | 0.998641i | \(0.516597\pi\) | |||||||
\(422\) | −6.09467 | + | 0.699243i | −0.296684 | + | 0.0340386i | ||||
\(423\) | −9.46653 | − | 10.7912i | −0.460278 | − | 0.524684i | ||||
\(424\) | −3.75352 | + | 1.33914i | −0.182287 | + | 0.0650343i | ||||
\(425\) | 2.15088 | − | 1.65043i | 0.104333 | − | 0.0800576i | ||||
\(426\) | −4.33363 | − | 1.71368i | −0.209965 | − | 0.0830278i | ||||
\(427\) | −0.0649637 | + | 0.991154i | −0.00314381 | + | 0.0479653i | ||||
\(428\) | 18.1476 | + | 29.2237i | 0.877199 | + | 1.41258i | ||||
\(429\) | 0.518010 | + | 2.22085i | 0.0250098 | + | 0.107224i | ||||
\(430\) | 3.84548 | + | 2.66324i | 0.185446 | + | 0.128433i | ||||
\(431\) | −18.3577 | − | 18.3577i | −0.884258 | − | 0.884258i | 0.109706 | − | 0.993964i | \(-0.465009\pi\) |
−0.993964 | + | 0.109706i | \(0.965009\pi\) | |||||||
\(432\) | −12.0898 | − | 16.9067i | −0.581669 | − | 0.813426i | ||||
\(433\) | 13.0342 | − | 13.0342i | 0.626383 | − | 0.626383i | −0.320773 | − | 0.947156i | \(-0.603943\pi\) |
0.947156 | + | 0.320773i | \(0.103943\pi\) | |||||||
\(434\) | −1.08998 | + | 0.197983i | −0.0523205 | + | 0.00950348i | ||||
\(435\) | −20.8091 | + | 4.85369i | −0.997721 | + | 0.232717i | ||||
\(436\) | −14.9149 | + | 20.7868i | −0.714295 | + | 0.995508i | ||||
\(437\) | −28.7294 | − | 1.88302i | −1.37431 | − | 0.0900771i | ||||
\(438\) | 11.3137 | + | 26.1139i | 0.540588 | + | 1.24777i | ||||
\(439\) | 11.5534 | + | 15.0566i | 0.551412 | + | 0.718614i | 0.983030 | − | 0.183442i | \(-0.0587240\pi\) |
−0.431619 | + | 0.902056i | \(0.642057\pi\) | |||||||
\(440\) | 5.13754 | − | 3.07291i | 0.244923 | − | 0.146495i | ||||
\(441\) | 4.05315 | + | 20.3602i | 0.193007 | + | 0.969534i | ||||
\(442\) | −5.66292 | + | 7.13075i | −0.269358 | + | 0.339175i | ||||
\(443\) | −7.58364 | + | 22.3407i | −0.360310 | + | 1.06144i | 0.604074 | + | 0.796928i | \(0.293543\pi\) |
−0.964383 | + | 0.264509i | \(0.914790\pi\) | |||||||
\(444\) | −15.7026 | − | 15.7194i | −0.745211 | − | 0.746010i | ||||
\(445\) | −18.1910 | − | 8.97082i | −0.862337 | − | 0.425257i | ||||
\(446\) | 6.75953 | + | 6.13025i | 0.320073 | + | 0.290276i | ||||
\(447\) | 4.06014 | + | 2.90898i | 0.192038 | + | 0.137590i | ||||
\(448\) | −0.364691 | − | 2.23446i | −0.0172301 | − | 0.105568i | ||||
\(449\) | −10.6298 | −0.501652 | −0.250826 | − | 0.968032i | \(-0.580702\pi\) | ||||
−0.250826 | + | 0.968032i | \(0.580702\pi\) | |||||||
\(450\) | 2.61747 | − | 0.300711i | 0.123389 | − | 0.0141757i | ||||
\(451\) | −4.51130 | + | 3.01436i | −0.212429 | + | 0.141940i | ||||
\(452\) | −13.0472 | − | 10.7209i | −0.613687 | − | 0.504270i | ||||
\(453\) | 3.99701 | + | 40.5504i | 0.187796 | + | 1.90522i | ||||
\(454\) | 22.6398 | + | 3.36538i | 1.06254 | + | 0.157945i | ||||
\(455\) | −0.602410 | + | 0.785076i | −0.0282414 | + | 0.0368049i | ||||
\(456\) | 2.94758 | + | 16.2772i | 0.138033 | + | 0.762250i | ||||
\(457\) | −18.8889 | − | 24.6165i | −0.883584 | − | 1.15151i | −0.987609 | − | 0.156935i | \(-0.949839\pi\) |
0.104025 | − | 0.994575i | \(-0.466828\pi\) | |||||||
\(458\) | −5.12648 | + | 2.84691i | −0.239545 | + | 0.133028i | ||||
\(459\) | 14.3953 | + | 17.5324i | 0.671913 | + | 0.818344i | ||||
\(460\) | −36.8372 | + | 16.6635i | −1.71754 | + | 0.776941i | ||||
\(461\) | −15.3189 | + | 17.4679i | −0.713473 | + | 0.813559i | −0.989028 | − | 0.147726i | \(-0.952805\pi\) |
0.275556 | + | 0.961285i | \(0.411138\pi\) | |||||||
\(462\) | 0.559367 | + | 0.264718i | 0.0260241 | + | 0.0123158i | ||||
\(463\) | 16.9511 | + | 4.54202i | 0.787783 | + | 0.211086i | 0.630213 | − | 0.776422i | \(-0.282967\pi\) |
0.157570 | + | 0.987508i | \(0.449634\pi\) | |||||||
\(464\) | −14.6995 | − | 14.7356i | −0.682406 | − | 0.684081i | ||||
\(465\) | 8.78589 | − | 7.21152i | 0.407436 | − | 0.334426i | ||||
\(466\) | −22.9255 | − | 15.8773i | −1.06200 | − | 0.735503i | ||||
\(467\) | 4.85642 | − | 24.4149i | 0.224728 | − | 1.12978i | −0.689407 | − | 0.724375i | \(-0.742129\pi\) |
0.914135 | − | 0.405410i | \(-0.132871\pi\) | |||||||
\(468\) | −8.28336 | + | 3.11329i | −0.382898 | + | 0.143912i | ||||
\(469\) | 3.06704 | + | 2.04933i | 0.141623 | + | 0.0946293i | ||||
\(470\) | 11.1539 | + | 11.5321i | 0.514490 | + | 0.531934i | ||||
\(471\) | −17.0457 | − | 27.4070i | −0.785424 | − | 1.26285i | ||||
\(472\) | 2.58680 | + | 31.9082i | 0.119067 | + | 1.46870i | ||||
\(473\) | −0.988073 | − | 0.758175i | −0.0454317 | − | 0.0348609i | ||||
\(474\) | −1.83715 | − | 1.02152i | −0.0843831 | − | 0.0469201i | ||||
\(475\) | −1.98560 | − | 0.674021i | −0.0911056 | − | 0.0309262i | ||||
\(476\) | 0.559637 | + | 2.40682i | 0.0256509 | + | 0.110316i | ||||
\(477\) | 4.19091 | + | 0.551089i | 0.191889 | + | 0.0252326i | ||||
\(478\) | −9.65588 | + | 18.7842i | −0.441650 | + | 0.859171i | ||||
\(479\) | 3.38482 | + | 1.95423i | 0.154657 | + | 0.0892910i | 0.575331 | − | 0.817921i | \(-0.304873\pi\) |
−0.420675 | + | 0.907212i | \(0.638207\pi\) | |||||||
\(480\) | 14.4145 | + | 18.2165i | 0.657927 | + | 0.831464i | ||||
\(481\) | −8.19231 | + | 4.72983i | −0.373537 | + | 0.215662i | ||||
\(482\) | 0.831877 | + | 17.0398i | 0.0378910 | + | 0.776141i | ||||
\(483\) | −3.54943 | − | 2.20680i | −0.161505 | − | 0.100413i | ||||
\(484\) | 18.0025 | − | 9.60834i | 0.818294 | − | 0.436743i | ||||
\(485\) | −2.63607 | − | 13.2524i | −0.119698 | − | 0.601762i | ||||
\(486\) | 3.23643 | + | 21.8065i | 0.146807 | + | 0.989165i | ||||
\(487\) | −21.4565 | + | 8.88759i | −0.972288 | + | 0.402735i | −0.811564 | − | 0.584264i | \(-0.801383\pi\) |
−0.160725 | + | 0.986999i | \(0.551383\pi\) | |||||||
\(488\) | 5.38713 | − | 8.33835i | 0.243864 | − | 0.377459i | ||||
\(489\) | −1.59436 | + | 0.0523165i | −0.0720993 | + | 0.00236583i | ||||
\(490\) | −5.63069 | − | 22.5082i | −0.254369 | − | 1.01682i | ||||
\(491\) | 2.81261 | − | 42.9122i | 0.126931 | − | 1.93660i | −0.177610 | − | 0.984101i | \(-0.556837\pi\) |
0.304542 | − | 0.952499i | \(-0.401497\pi\) | |||||||
\(492\) | −13.8733 | − | 15.8366i | −0.625456 | − | 0.713967i | ||||
\(493\) | 17.0794 | + | 14.9782i | 0.769217 | + | 0.674585i | ||||
\(494\) | 7.01904 | + | 0.577694i | 0.315802 | + | 0.0259917i | ||||
\(495\) | −6.33589 | + | 0.416254i | −0.284777 | + | 0.0187092i | ||||
\(496\) | 10.4799 | + | 3.57178i | 0.470561 | + | 0.160377i | ||||
\(497\) | 0.139351 | + | 0.520066i | 0.00625076 | + | 0.0233282i | ||||
\(498\) | −7.81445 | + | 0.638942i | −0.350174 | + | 0.0286317i | ||||
\(499\) | 8.20320 | + | 24.1658i | 0.367225 | + | 1.08181i | 0.960850 | + | 0.277069i | \(0.0893631\pi\) |
−0.593624 | + | 0.804742i | \(0.702304\pi\) | |||||||
\(500\) | 20.4888 | − | 3.36981i | 0.916285 | − | 0.150703i | ||||
\(501\) | −22.1875 | + | 8.35272i | −0.991263 | + | 0.373172i | ||||
\(502\) | 7.22195 | + | 0.120393i | 0.322332 | + | 0.00537340i | ||||
\(503\) | −13.5435 | + | 32.6968i | −0.603873 | + | 1.45788i | 0.265690 | + | 0.964058i | \(0.414400\pi\) |
−0.869564 | + | 0.493821i | \(0.835600\pi\) | |||||||
\(504\) | −0.736332 | + | 2.28568i | −0.0327988 | + | 0.101812i | ||||
\(505\) | 9.69957 | + | 23.4168i | 0.431625 | + | 1.04204i | ||||
\(506\) | 10.0127 | − | 3.95316i | 0.445117 | − | 0.175740i | ||||
\(507\) | −1.83917 | − | 18.6587i | −0.0816804 | − | 0.828662i | ||||
\(508\) | 15.7825 | + | 7.16260i | 0.700234 | + | 0.317789i | ||||
\(509\) | 22.7704 | + | 11.2291i | 1.00928 | + | 0.497721i | 0.870272 | − | 0.492571i | \(-0.163943\pi\) |
0.139006 | + | 0.990292i | \(0.455609\pi\) | |||||||
\(510\) | −17.0221 | − | 18.7897i | −0.753752 | − | 0.832021i | ||||
\(511\) | 1.64403 | − | 2.84754i | 0.0727276 | − | 0.125968i | ||||
\(512\) | −7.68167 | + | 21.2836i | −0.339485 | + | 0.940611i | ||||
\(513\) | 5.08928 | − | 16.7911i | 0.224697 | − | 0.741343i | ||||
\(514\) | −3.39610 | − | 10.5808i | −0.149796 | − | 0.466700i | ||||
\(515\) | −0.472475 | − | 7.20857i | −0.0208197 | − | 0.317648i | ||||
\(516\) | 2.41864 | − | 4.18403i | 0.106475 | − | 0.184192i | ||||
\(517\) | −2.81649 | − | 3.21159i | −0.123869 | − | 0.141246i | ||||
\(518\) | −0.377442 | + | 2.53914i | −0.0165838 | + | 0.111564i | ||||
\(519\) | 21.6122 | − | 6.55779i | 0.948668 | − | 0.287855i | ||||
\(520\) | 9.07771 | − | 3.92542i | 0.398084 | − | 0.172141i | ||||
\(521\) | 0.960245 | − | 2.31824i | 0.0420691 | − | 0.101564i | −0.901448 | − | 0.432887i | \(-0.857495\pi\) |
0.943517 | + | 0.331323i | \(0.107495\pi\) | |||||||
\(522\) | 6.74999 | + | 21.0190i | 0.295439 | + | 0.919979i | ||||
\(523\) | 9.38931 | − | 14.0521i | 0.410566 | − | 0.614456i | −0.567344 | − | 0.823481i | \(-0.692029\pi\) |
0.977910 | + | 0.209025i | \(0.0670291\pi\) | |||||||
\(524\) | 8.17728 | + | 9.97650i | 0.357226 | + | 0.435826i | ||||
\(525\) | −0.208102 | − | 0.222154i | −0.00908233 | − | 0.00969562i | ||||
\(526\) | 10.2092 | + | 3.65644i | 0.445142 | + | 0.159428i | ||||
\(527\) | −11.6724 | − | 3.12761i | −0.508458 | − | 0.136241i | ||||
\(528\) | −3.59681 | − | 5.03154i | −0.156531 | − | 0.218970i | ||||
\(529\) | −48.0093 | + | 12.8641i | −2.08736 | + | 0.559307i | ||||
\(530\) | −4.70832 | − | 0.387513i | −0.204516 | − | 0.0168325i | ||||
\(531\) | 12.9891 | − | 31.3722i | 0.563680 | − | 1.36144i | ||||
\(532\) | 1.30732 | − | 1.39410i | 0.0566796 | − | 0.0604419i | ||||
\(533\) | −8.03933 | + | 3.96456i | −0.348222 | + | 0.171724i | ||||
\(534\) | −7.70590 | + | 19.4871i | −0.333467 | + | 0.843288i | ||||
\(535\) | 5.32271 | + | 40.4300i | 0.230121 | + | 1.74794i | ||||
\(536\) | −16.8141 | − | 32.8085i | −0.726260 | − | 1.41711i | ||||
\(537\) | 14.7029 | − | 15.7005i | 0.634475 | − | 0.677527i | ||||
\(538\) | 31.7149 | + | 13.7605i | 1.36733 | + | 0.593256i | ||||
\(539\) | 1.20518 | + | 6.05883i | 0.0519106 | + | 0.260972i | ||||
\(540\) | −4.79754 | − | 24.1672i | −0.206453 | − | 1.03999i | ||||
\(541\) | 2.02972 | + | 3.03769i | 0.0872644 | + | 0.130600i | 0.872534 | − | 0.488554i | \(-0.162475\pi\) |
−0.785269 | + | 0.619154i | \(0.787475\pi\) | |||||||
\(542\) | −9.85469 | + | 6.34969i | −0.423295 | + | 0.272742i | ||||
\(543\) | −13.6740 | − | 30.1729i | −0.586806 | − | 1.29484i | ||||
\(544\) | 6.81770 | − | 23.7366i | 0.292306 | − | 1.01770i | ||||
\(545\) | −26.2650 | + | 15.1641i | −1.12507 | + | 0.649560i | ||||
\(546\) | 0.859134 | + | 0.554218i | 0.0367675 | + | 0.0237184i | ||||
\(547\) | −37.1228 | + | 2.43316i | −1.58726 | + | 0.104034i | −0.833273 | − | 0.552861i | \(-0.813536\pi\) |
−0.753982 | + | 0.656895i | \(0.771869\pi\) | |||||||
\(548\) | 9.02617 | + | 38.8187i | 0.385579 | + | 1.65825i | ||||
\(549\) | −9.11790 | + | 5.26609i | −0.389143 | + | 0.224751i | ||||
\(550\) | 0.778903 | − | 0.0893637i | 0.0332125 | − | 0.00381048i | ||||
\(551\) | 2.29334 | − | 17.4196i | 0.0976996 | − | 0.742102i | ||||
\(552\) | 20.2604 | + | 36.5293i | 0.862339 | + | 1.55479i | ||||
\(553\) | 0.0316998 | + | 0.240784i | 0.00134801 | + | 0.0102392i | ||||
\(554\) | 16.2629 | − | 4.06835i | 0.690944 | − | 0.172848i | ||||
\(555\) | −9.27972 | − | 24.6499i | −0.393902 | − | 1.04633i | ||||
\(556\) | −8.08554 | − | 4.32819i | −0.342903 | − | 0.183556i | ||||
\(557\) | 8.14690 | − | 40.9572i | 0.345195 | − | 1.73541i | −0.284595 | − | 0.958648i | \(-0.591859\pi\) |
0.629790 | − | 0.776765i | \(-0.283141\pi\) | |||||||
\(558\) | −8.16562 | − | 8.43989i | −0.345678 | − | 0.357289i | ||||
\(559\) | −1.45493 | − | 1.45493i | −0.0615368 | − | 0.0615368i | ||||
\(560\) | 0.697807 | − | 2.59154i | 0.0294877 | − | 0.109513i | ||||
\(561\) | 4.28284 | + | 5.21783i | 0.180821 | + | 0.220297i | ||||
\(562\) | −4.94326 | + | 13.8022i | −0.208519 | + | 0.582209i | ||||
\(563\) | 13.0210 | + | 38.3585i | 0.548768 | + | 1.61662i | 0.767651 | + | 0.640869i | \(0.221426\pi\) |
−0.218882 | + | 0.975751i | \(0.570241\pi\) | |||||||
\(564\) | 10.9358 | − | 12.4564i | 0.460479 | − | 0.524508i | ||||
\(565\) | −8.85385 | − | 17.9538i | −0.372484 | − | 0.755323i | ||||
\(566\) | 0.324303 | − | 0.180097i | 0.0136315 | − | 0.00757002i | ||||
\(567\) | 1.80046 | − | 1.80157i | 0.0756124 | − | 0.0756589i | ||||
\(568\) | 1.31229 | − | 5.21861i | 0.0550626 | − | 0.218968i | ||||
\(569\) | −41.6330 | − | 5.48109i | −1.74535 | − | 0.229779i | −0.810726 | − | 0.585426i | \(-0.800927\pi\) |
−0.934620 | + | 0.355647i | \(0.884261\pi\) | |||||||
\(570\) | −4.76905 | + | 19.0206i | −0.199754 | + | 0.796685i | ||||
\(571\) | −22.5808 | − | 25.7485i | −0.944977 | − | 1.07754i | −0.996884 | − | 0.0788874i | \(-0.974863\pi\) |
0.0519070 | − | 0.998652i | \(-0.483470\pi\) | |||||||
\(572\) | −2.46504 | + | 0.926053i | −0.103069 | + | 0.0387202i | ||||
\(573\) | −15.3982 | − | 28.8027i | −0.643271 | − | 1.20325i | ||||
\(574\) | −0.514250 | + | 2.37748i | −0.0214644 | + | 0.0992342i | ||||
\(575\) | −5.29504 | −0.220818 | ||||||||
\(576\) | 17.5444 | − | 16.3767i | 0.731015 | − | 0.682362i | ||||
\(577\) | −13.9188 | −0.579447 | −0.289724 | − | 0.957110i | \(-0.593563\pi\) | ||||
−0.289724 | + | 0.957110i | \(0.593563\pi\) | |||||||
\(578\) | −0.615781 | + | 2.84688i | −0.0256131 | + | 0.118415i | ||||
\(579\) | −28.2472 | − | 0.922545i | −1.17391 | − | 0.0383396i | ||||
\(580\) | −8.67701 | − | 23.0972i | −0.360293 | − | 0.959058i | ||||
\(581\) | 0.597273 | + | 0.681060i | 0.0247791 | + | 0.0282551i | ||||
\(582\) | −13.4244 | + | 3.83022i | −0.556461 | + | 0.158768i | ||||
\(583\) | 1.24708 | + | 0.164181i | 0.0516487 | + | 0.00679968i | ||||
\(584\) | −28.2022 | + | 16.8685i | −1.16702 | + | 0.698025i | ||||
\(585\) | −10.4677 | − | 0.684471i | −0.432784 | − | 0.0282994i | ||||
\(586\) | −21.5184 | + | 11.9499i | −0.888917 | + | 0.493647i | ||||
\(587\) | 0.443047 | + | 0.898411i | 0.0182865 | + | 0.0370814i | 0.905824 | − | 0.423653i | \(-0.139253\pi\) |
−0.887538 | + | 0.460735i | \(0.847586\pi\) | |||||||
\(588\) | −22.7032 | + | 7.69314i | −0.936266 | + | 0.317260i | ||||
\(589\) | 3.00428 | + | 8.85032i | 0.123789 | + | 0.364671i | ||||
\(590\) | −12.7956 | + | 35.7269i | −0.526788 | + | 1.47085i | ||||
\(591\) | 4.07043 | − | 10.8174i | 0.167435 | − | 0.444968i | ||||
\(592\) | 15.6433 | − | 20.3351i | 0.642935 | − | 0.835766i | ||||
\(593\) | 4.20697 | + | 4.20697i | 0.172759 | + | 0.172759i | 0.788191 | − | 0.615431i | \(-0.211018\pi\) |
−0.615431 | + | 0.788191i | \(0.711018\pi\) | |||||||
\(594\) | 0.962077 | + | 6.48919i | 0.0394745 | + | 0.266255i | ||||
\(595\) | −0.571465 | + | 2.87295i | −0.0234278 | + | 0.117780i | ||||
\(596\) | −2.72184 | + | 5.08470i | −0.111491 | + | 0.208277i | ||||
\(597\) | −37.0894 | − | 6.12055i | −1.51797 | − | 0.250497i | ||||
\(598\) | 17.2527 | − | 4.31597i | 0.705517 | − | 0.176493i | ||||
\(599\) | 5.16597 | + | 39.2395i | 0.211076 | + | 1.60328i | 0.688921 | + | 0.724837i | \(0.258085\pi\) |
−0.477845 | + | 0.878444i | \(0.658582\pi\) | |||||||
\(600\) | 0.736727 | + | 2.95173i | 0.0300768 | + | 0.120504i | ||||
\(601\) | −4.10392 | + | 31.1724i | −0.167403 | + | 1.27155i | 0.677057 | + | 0.735930i | \(0.263255\pi\) |
−0.844460 | + | 0.535619i | \(0.820078\pi\) | |||||||
\(602\) | −0.554720 | + | 0.0636431i | −0.0226087 | + | 0.00259390i | ||||
\(603\) | 0.00600972 | + | 39.1024i | 0.000244735 | + | 1.59237i | ||||
\(604\) | −45.8279 | + | 10.6560i | −1.86471 | + | 0.433585i | ||||
\(605\) | 24.1383 | − | 1.58211i | 0.981360 | − | 0.0643218i | ||||
\(606\) | 23.2963 | − | 11.9595i | 0.946347 | − | 0.485821i | ||||
\(607\) | −10.2817 | + | 5.93613i | −0.417320 | + | 0.240940i | −0.693930 | − | 0.720042i | \(-0.744122\pi\) |
0.276610 | + | 0.960982i | \(0.410789\pi\) | |||||||
\(608\) | −18.1943 | + | 5.81518i | −0.737875 | + | 0.235837i | ||||
\(609\) | 1.48550 | − | 2.07335i | 0.0601956 | − | 0.0840166i | ||||
\(610\) | 9.89237 | − | 6.37396i | 0.400530 | − | 0.258074i | ||||
\(611\) | −3.92073 | − | 5.86779i | −0.158616 | − | 0.237385i | ||||
\(612\) | −17.9151 | + | 19.1101i | −0.724173 | + | 0.772481i | ||||
\(613\) | −7.30079 | − | 36.7035i | −0.294876 | − | 1.48244i | −0.789724 | − | 0.613462i | \(-0.789776\pi\) |
0.494848 | − | 0.868980i | \(-0.335224\pi\) | |||||||
\(614\) | 11.2038 | + | 4.86109i | 0.452147 | + | 0.196177i | ||||
\(615\) | −7.24674 | − | 23.8827i | −0.292217 | − | 0.963043i | ||||
\(616\) | −0.219217 | + | 0.680123i | −0.00883251 | + | 0.0274029i | ||||
\(617\) | −5.31990 | − | 40.4086i | −0.214171 | − | 1.62679i | −0.673964 | − | 0.738764i | \(-0.735410\pi\) |
0.459793 | − | 0.888026i | \(-0.347923\pi\) | |||||||
\(618\) | −7.38308 | + | 1.09344i | −0.296991 | + | 0.0439848i | ||||
\(619\) | −13.7361 | + | 6.77388i | −0.552099 | + | 0.272265i | −0.696867 | − | 0.717200i | \(-0.745423\pi\) |
0.144768 | + | 0.989466i | \(0.453757\pi\) | |||||||
\(620\) | 9.57391 | + | 8.97797i | 0.384498 | + | 0.360564i | ||||
\(621\) | −1.45984 | − | 44.2815i | −0.0585815 | − | 1.77695i | ||||
\(622\) | 38.3988 | + | 3.16037i | 1.53965 | + | 0.126719i | ||||
\(623\) | 2.33859 | − | 0.626622i | 0.0936935 | − | 0.0251051i | ||||
\(624\) | −4.80641 | − | 9.01705i | −0.192410 | − | 0.360971i | ||||
\(625\) | 26.7749 | + | 7.17430i | 1.07099 | + | 0.286972i | ||||
\(626\) | 0.00743449 | + | 0.00266267i | 0.000297142 | + | 0.000106422i | ||||
\(627\) | 1.51520 | − | 4.99633i | 0.0605113 | − | 0.199534i | ||||
\(628\) | 28.8233 | − | 23.6252i | 1.15018 | − | 0.942747i | ||||
\(629\) | −15.5569 | + | 23.2826i | −0.620295 | + | 0.928337i | ||||
\(630\) | −1.91201 | + | 2.10893i | −0.0761764 | + | 0.0840219i | ||||
\(631\) | −16.2821 | + | 39.3086i | −0.648182 | + | 1.56485i | 0.167198 | + | 0.985923i | \(0.446528\pi\) |
−0.815380 | + | 0.578926i | \(0.803472\pi\) | |||||||
\(632\) | 0.894125 | − | 2.25656i | 0.0355664 | − | 0.0897610i | ||||
\(633\) | −1.70555 | + | 7.31724i | −0.0677895 | + | 0.290834i | ||||
\(634\) | −1.85335 | + | 12.4679i | −0.0736058 | + | 0.495164i | ||||
\(635\) | 13.5467 | + | 15.4470i | 0.537583 | + | 0.612996i | ||||
\(636\) | −0.00261604 | + | 4.88091i | −0.000103733 | + | 0.193541i | ||||
\(637\) | 0.667493 | + | 10.1840i | 0.0264470 | + | 0.403504i | ||||
\(638\) | 2.00765 | + | 6.25501i | 0.0794838 | + | 0.247638i | ||||
\(639\) | −3.76256 | + | 4.29170i | −0.148844 | + | 0.169777i | ||||
\(640\) | −18.6954 | + | 19.2347i | −0.738999 | + | 0.760317i | ||||
\(641\) | −22.2868 | + | 38.6019i | −0.880277 | + | 1.52469i | −0.0292447 | + | 0.999572i | \(0.509310\pi\) |
−0.851033 | + | 0.525113i | \(0.824023\pi\) | |||||||
\(642\) | 41.1837 | − | 8.88493i | 1.62539 | − | 0.350660i | ||||
\(643\) | −29.3452 | − | 14.4714i | −1.15726 | − | 0.570698i | −0.240702 | − | 0.970599i | \(-0.577378\pi\) |
−0.916558 | + | 0.399902i | \(0.869044\pi\) | |||||||
\(644\) | 1.99446 | − | 4.39470i | 0.0785927 | − | 0.173175i | ||||
\(645\) | 4.65650 | − | 3.33735i | 0.183350 | − | 0.131408i | ||||
\(646\) | 19.3908 | − | 7.65583i | 0.762922 | − | 0.301214i | ||||
\(647\) | 2.39365 | + | 5.77877i | 0.0941040 | + | 0.227187i | 0.963922 | − | 0.266186i | \(-0.0857636\pi\) |
−0.869818 | + | 0.493373i | \(0.835764\pi\) | |||||||
\(648\) | −24.4816 | + | 6.97491i | −0.961730 | + | 0.274000i | ||||
\(649\) | 3.86665 | − | 9.33491i | 0.151779 | − | 0.366427i | ||||
\(650\) | 1.29508 | + | 0.0215895i | 0.0507971 | + | 0.000846809i | ||||
\(651\) | −0.220911 | + | 1.33868i | −0.00865820 | + | 0.0524670i | ||||
\(652\) | −0.298939 | − | 1.81758i | −0.0117074 | − | 0.0711818i | ||||
\(653\) | −3.78912 | − | 11.1624i | −0.148280 | − | 0.436818i | 0.847258 | − | 0.531182i | \(-0.178252\pi\) |
−0.995538 | + | 0.0943633i | \(0.969918\pi\) | |||||||
\(654\) | 17.8263 | + | 25.7691i | 0.697062 | + | 1.00765i | ||||
\(655\) | 3.95775 | + | 14.7705i | 0.154642 | + | 0.577131i | ||||
\(656\) | 16.0517 | − | 18.2582i | 0.626713 | − | 0.712864i | ||||
\(657\) | 34.7804 | − | 2.28500i | 1.35691 | − | 0.0891463i | ||||
\(658\) | −1.90862 | − | 0.157087i | −0.0744058 | − | 0.00612388i | ||||
\(659\) | −36.9944 | − | 32.4433i | −1.44110 | − | 1.26381i | −0.908786 | − | 0.417262i | \(-0.862990\pi\) |
−0.532312 | − | 0.846548i | \(-0.678677\pi\) | |||||||
\(660\) | −1.42651 | − | 7.19171i | −0.0555270 | − | 0.279937i | ||||
\(661\) | −2.04973 | + | 31.2728i | −0.0797251 | + | 1.21637i | 0.751234 | + | 0.660036i | \(0.229459\pi\) |
−0.830959 | + | 0.556334i | \(0.812208\pi\) | |||||||
\(662\) | −1.64442 | − | 6.57342i | −0.0639120 | − | 0.255483i | ||||
\(663\) | 5.88991 | + | 9.47013i | 0.228745 | + | 0.367789i | ||||
\(664\) | −1.90315 | − | 8.85116i | −0.0738567 | − | 0.343492i | ||||
\(665\) | 2.09312 | − | 0.866998i | 0.0811676 | − | 0.0336207i | ||||
\(666\) | −24.6013 | + | 11.6310i | −0.953283 | + | 0.450691i | ||||
\(667\) | −8.65569 | − | 43.5151i | −0.335150 | − | 1.68491i | ||||
\(668\) | −12.8898 | − | 24.1507i | −0.498721 | − | 0.934418i | ||||
\(669\) | 9.85610 | − | 5.26917i | 0.381059 | − | 0.203718i | ||||
\(670\) | −2.13100 | − | 43.6503i | −0.0823276 | − | 1.68636i | ||||
\(671\) | −2.71348 | + | 1.56663i | −0.104753 | + | 0.0604791i | ||||
\(672\) | −2.72733 | − | 0.500356i | −0.105209 | − | 0.0193016i | ||||
\(673\) | −37.0178 | − | 21.3722i | −1.42693 | − | 0.823840i | −0.430055 | − | 0.902803i | \(-0.641506\pi\) |
−0.996878 | + | 0.0789632i | \(0.974839\pi\) | |||||||
\(674\) | −0.486441 | + | 0.946306i | −0.0187370 | + | 0.0364503i | ||||
\(675\) | 0.732010 | − | 3.14270i | 0.0281751 | − | 0.120962i | ||||
\(676\) | 21.0871 | − | 4.90320i | 0.811042 | − | 0.188584i | ||||
\(677\) | −6.24819 | − | 2.12098i | −0.240138 | − | 0.0815157i | 0.198776 | − | 0.980045i | \(-0.436303\pi\) |
−0.438914 | + | 0.898529i | \(0.644637\pi\) | |||||||
\(678\) | −17.7421 | + | 10.6287i | −0.681381 | + | 0.408191i | ||||
\(679\) | 1.27959 | + | 0.981866i | 0.0491063 | + | 0.0376806i | ||||
\(680\) | 18.9607 | − | 22.3062i | 0.727109 | − | 0.855403i | ||||
\(681\) | 13.2126 | − | 24.7236i | 0.506307 | − | 0.947409i | ||||
\(682\) | −2.42948 | − | 2.51185i | −0.0930296 | − | 0.0961839i | ||||
\(683\) | 12.9004 | + | 8.61977i | 0.493620 | + | 0.329826i | 0.777340 | − | 0.629081i | \(-0.216569\pi\) |
−0.283720 | + | 0.958907i | \(0.591569\pi\) | |||||||
\(684\) | 19.9875 | + | 3.30938i | 0.764243 | + | 0.126537i | ||||
\(685\) | −9.21695 | + | 46.3368i | −0.352162 | + | 1.77044i | ||||
\(686\) | 4.57998 | + | 3.17192i | 0.174864 | + | 0.121105i | ||||
\(687\) | 1.17043 | + | 7.08581i | 0.0446547 | + | 0.270340i | ||||
\(688\) | 5.15303 | + | 2.14186i | 0.196457 | + | 0.0816575i | ||||
\(689\) | 2.00725 | + | 0.537841i | 0.0764702 | + | 0.0204901i | ||||
\(690\) | 4.03529 | + | 49.3528i | 0.153621 | + | 1.87883i | ||||
\(691\) | 26.6214 | − | 30.3559i | 1.01272 | − | 1.15479i | 0.0248261 | − | 0.999692i | \(-0.492097\pi\) |
0.987899 | − | 0.155100i | \(-0.0495699\pi\) | |||||||
\(692\) | 10.7485 | + | 23.7611i | 0.408596 | + | 0.903262i | ||||
\(693\) | 0.535852 | − | 0.536016i | 0.0203553 | − | 0.0203616i | ||||
\(694\) | −36.8821 | + | 20.4819i | −1.40002 | + | 0.777482i | ||||
\(695\) | −6.61829 | − | 8.62512i | −0.251046 | − | 0.327170i | ||||
\(696\) | −23.0532 | + | 10.8796i | −0.873830 | + | 0.412390i | ||||
\(697\) | −16.1527 | + | 21.0506i | −0.611827 | + | 0.797348i | ||||
\(698\) | 33.4492 | + | 4.97220i | 1.26607 | + | 0.188200i | ||||
\(699\) | −27.7605 | + | 19.8961i | −1.05000 | + | 0.752540i | ||||
\(700\) | 0.223150 | − | 0.271569i | 0.00843427 | − | 0.0102644i | ||||
\(701\) | −5.27343 | + | 3.52359i | −0.199175 | + | 0.133084i | −0.651158 | − | 0.758942i | \(-0.725717\pi\) |
0.451984 | + | 0.892026i | \(0.350717\pi\) | |||||||
\(702\) | 0.176504 | + | 10.8365i | 0.00666173 | + | 0.408996i | ||||
\(703\) | 21.6575 | 0.816829 | ||||||||
\(704\) | 5.22147 | − | 4.87245i | 0.196792 | − | 0.183638i | ||||
\(705\) | 17.8972 | − | 8.11079i | 0.674049 | − | 0.305470i | ||||
\(706\) | −31.9598 | − | 28.9846i | −1.20282 | − | 1.09085i | ||||
\(707\) | −2.71348 | − | 1.33814i | −0.102051 | − | 0.0503260i | ||||
\(708\) | 37.8662 | + | 10.1680i | 1.42310 | + | 0.382136i | ||||
\(709\) | −10.4835 | + | 30.8833i | −0.393715 | + | 1.15985i | 0.551718 | + | 0.834031i | \(0.313972\pi\) |
−0.945433 | + | 0.325816i | \(0.894361\pi\) | |||||||
\(710\) | 3.96705 | − | 4.99530i | 0.148881 | − | 0.187470i | ||||
\(711\) | −1.93534 | + | 1.69777i | −0.0725807 | + | 0.0636713i | ||||
\(712\) | −23.4666 | − | 5.90100i | −0.879447 | − | 0.221149i | ||||
\(713\) | 14.3676 | + | 18.7242i | 0.538069 | + | 0.701226i | ||||
\(714\) | 3.00647 | + | 0.346566i | 0.112514 | + | 0.0129699i | ||||
\(715\) | −3.11486 | − | 0.204159i | −0.116489 | − | 0.00763510i | ||||
\(716\) | 20.1803 | + | 14.4797i | 0.754173 | + | 0.541133i | ||||
\(717\) | 17.6842 | + | 18.8784i | 0.660430 | + | 0.705026i | ||||
\(718\) | −6.56927 | + | 1.19324i | −0.245163 | + | 0.0445313i | ||||
\(719\) | −5.92215 | + | 5.92215i | −0.220859 | + | 0.220859i | −0.808860 | − | 0.588001i | \(-0.799915\pi\) |
0.588001 | + | 0.808860i | \(0.299915\pi\) | |||||||
\(720\) | 26.9503 | − | 9.11619i | 1.00438 | − | 0.339740i | ||||
\(721\) | 0.609745 | + | 0.609745i | 0.0227081 | + | 0.0227081i | ||||
\(722\) | 8.83415 | + | 6.11821i | 0.328773 | + | 0.227696i | ||||
\(723\) | 19.9950 | + | 6.06374i | 0.743622 | + | 0.225513i | ||||
\(724\) | 32.4956 | − | 20.1795i | 1.20769 | − | 0.749964i | ||||
\(725\) | 0.211340 | − | 3.22442i | 0.00784897 | − | 0.119752i | ||||
\(726\) | −3.66145 | − | 24.7226i | −0.135889 | − | 0.917542i | ||||
\(727\) | 4.84115 | − | 3.71475i | 0.179548 | − | 0.137772i | −0.515077 | − | 0.857144i | \(-0.672237\pi\) |
0.694626 | + | 0.719371i | \(0.255570\pi\) | |||||||
\(728\) | −0.505730 | + | 1.06674i | −0.0187436 | + | 0.0395359i | ||||
\(729\) | 26.4836 | + | 5.25523i | 0.980875 | + | 0.194638i | ||||
\(730\) | −38.7018 | + | 4.44027i | −1.43242 | + | 0.164342i | ||||
\(731\) | −5.76743 | − | 1.95778i | −0.213316 | − | 0.0724111i | ||||
\(732\) | −7.39632 | − | 9.64978i | −0.273376 | − | 0.356666i | ||||
\(733\) | 10.1616 | − | 20.6056i | 0.375326 | − | 0.761086i | −0.624475 | − | 0.781045i | \(-0.714687\pi\) |
0.999801 | + | 0.0199591i | \(0.00635359\pi\) | |||||||
\(734\) | 17.0522 | − | 0.832485i | 0.629410 | − | 0.0307276i | ||||
\(735\) | −28.2797 | − | 2.78311i | −1.04311 | − | 0.102657i | ||||
\(736\) | −38.7857 | + | 28.6734i | −1.42966 | + | 1.05692i | ||||
\(737\) | 11.6358i | 0.428611i | ||||||||
\(738\) | −23.9825 | + | 9.47295i | −0.882808 | + | 0.348704i | ||||
\(739\) | 10.6793 | + | 15.9828i | 0.392846 | + | 0.587936i | 0.974192 | − | 0.225721i | \(-0.0724737\pi\) |
−0.581346 | + | 0.813656i | \(0.697474\pi\) | |||||||
\(740\) | 26.8310 | − | 14.3203i | 0.986327 | − | 0.526426i | ||||
\(741\) | 3.55924 | − | 7.85702i | 0.130752 | − | 0.288635i | ||||
\(742\) | 0.453046 | − | 0.335786i | 0.0166318 | − | 0.0123271i | ||||
\(743\) | 38.0315 | + | 29.1826i | 1.39524 | + | 1.07061i | 0.987519 | + | 0.157500i | \(0.0503433\pi\) |
0.407722 | + | 0.913106i | \(0.366323\pi\) | |||||||
\(744\) | 8.43878 | − | 10.6144i | 0.309381 | − | 0.389143i | ||||
\(745\) | −5.42402 | + | 4.16200i | −0.198721 | + | 0.152484i | ||||
\(746\) | −24.9064 | − | 7.12067i | −0.911889 | − | 0.260706i | ||||
\(747\) | −2.48392 | + | 9.27582i | −0.0908819 | + | 0.339385i | ||||
\(748\) | −5.33191 | + | 5.68583i | −0.194954 | + | 0.207895i | ||||
\(749\) | −3.65969 | − | 3.20946i | −0.133722 | − | 0.117271i | ||||
\(750\) | 4.55826 | − | 25.0188i | 0.166444 | − | 0.913557i | ||||
\(751\) | −4.22662 | + | 15.7740i | −0.154232 | + | 0.575600i | 0.844938 | + | 0.534864i | \(0.179637\pi\) |
−0.999170 | + | 0.0407365i | \(0.987030\pi\) | |||||||
\(752\) | 15.9012 | + | 10.6531i | 0.579858 | + | 0.388477i | ||||
\(753\) | 3.11547 | − | 8.27952i | 0.113534 | − | 0.301723i | ||||
\(754\) | 1.93961 | + | 10.6783i | 0.0706365 | + | 0.388883i | ||||
\(755\) | −54.7035 | − | 10.8812i | −1.99086 | − | 0.396008i | ||||
\(756\) | 2.33261 | + | 1.79129i | 0.0848361 | + | 0.0651486i | ||||
\(757\) | 14.2156 | − | 21.2751i | 0.516673 | − | 0.773256i | −0.477775 | − | 0.878482i | \(-0.658557\pi\) |
0.994448 | + | 0.105226i | \(0.0335567\pi\) | |||||||
\(758\) | 32.6632 | + | 0.544509i | 1.18638 | + | 0.0197775i | ||||
\(759\) | −0.432385 | − | 13.1770i | −0.0156946 | − | 0.478296i | ||||
\(760\) | −22.4922 | − | 2.60847i | −0.815877 | − | 0.0946191i | ||||
\(761\) | 15.3921 | − | 20.0593i | 0.557962 | − | 0.727150i | −0.426159 | − | 0.904648i | \(-0.640134\pi\) |
0.984121 | + | 0.177498i | \(0.0568003\pi\) | |||||||
\(762\) | 14.7656 | − | 15.2499i | 0.534902 | − | 0.552446i | ||||
\(763\) | 1.16367 | − | 3.42806i | 0.0421277 | − | 0.124104i | ||||
\(764\) | 30.6684 | − | 21.9482i | 1.10954 | − | 0.794058i | ||||
\(765\) | −28.6862 | + | 11.8874i | −1.03715 | + | 0.429789i | ||||
\(766\) | −13.5894 | − | 42.3390i | −0.491007 | − | 1.52977i | ||||
\(767\) | 8.34638 | − | 14.4564i | 0.301370 | − | 0.521989i | ||||
\(768\) | 21.3805 | + | 17.6316i | 0.771502 | + | 0.636227i | ||||
\(769\) | −8.77361 | − | 15.1963i | −0.316385 | − | 0.547994i | 0.663346 | − | 0.748313i | \(-0.269136\pi\) |
−0.979731 | + | 0.200318i | \(0.935802\pi\) | |||||||
\(770\) | −0.569060 | + | 0.627474i | −0.0205075 | + | 0.0226126i | ||||
\(771\) | −13.6027 | − | 0.444260i | −0.489890 | − | 0.0159996i | ||||
\(772\) | −3.17883 | − | 32.4793i | −0.114409 | − | 1.16895i | ||||
\(773\) | −24.0118 | + | 4.77625i | −0.863646 | + | 0.171790i | −0.606987 | − | 0.794712i | \(-0.707622\pi\) |
−0.256659 | + | 0.966502i | \(0.582622\pi\) | |||||||
\(774\) | −3.82861 | − | 4.51394i | −0.137616 | − | 0.162250i | ||||
\(775\) | 0.657799 | + | 1.58807i | 0.0236288 | + | 0.0570450i | ||||
\(776\) | −6.39803 | − | 14.7957i | −0.229676 | − | 0.531135i | ||||
\(777\) | 2.77285 | + | 1.48185i | 0.0994755 | + | 0.0531609i | ||||
\(778\) | −27.0018 | + | 45.0184i | −0.968060 | + | 1.61399i | ||||
\(779\) | 20.4782 | + | 1.34221i | 0.733706 | + | 0.0480896i | ||||
\(780\) | −0.785738 | − | 12.0873i | −0.0281339 | − | 0.432795i | ||||
\(781\) | −1.11983 | + | 1.27692i | −0.0400707 | + | 0.0456919i | ||||
\(782\) | 40.1528 | − | 34.0460i | 1.43586 | − | 1.21748i | ||||
\(783\) | 27.0236 | + | 0.878423i | 0.965743 | + | 0.0313923i | ||||
\(784\) | −12.2120 | − | 24.8401i | −0.436141 | − | 0.887146i | ||||
\(785\) | 42.6738 | − | 11.4344i | 1.52309 | − | 0.408112i | ||||
\(786\) | 14.8764 | − | 5.31899i | 0.530622 | − | 0.189722i | ||||
\(787\) | 21.0552 | − | 7.14726i | 0.750535 | − | 0.254772i | 0.0801472 | − | 0.996783i | \(-0.474461\pi\) |
0.670388 | + | 0.742011i | \(0.266128\pi\) | |||||||
\(788\) | 12.9954 | + | 3.03850i | 0.462942 | + | 0.108242i | ||||
\(789\) | 8.42484 | − | 10.2673i | 0.299932 | − | 0.365526i | ||||
\(790\) | 2.06821 | − | 2.00039i | 0.0735837 | − | 0.0711705i | ||||
\(791\) | 2.20762 | + | 0.914428i | 0.0784941 | + | 0.0325133i | ||||
\(792\) | −7.28539 | + | 2.07442i | −0.258875 | + | 0.0737114i | ||||
\(793\) | −4.78239 | + | 1.98093i | −0.169828 | + | 0.0703449i | ||||
\(794\) | 31.7823 | + | 13.7897i | 1.12791 | + | 0.489379i | ||||
\(795\) | −2.38751 | + | 5.27043i | −0.0846764 | + | 0.186923i | ||||
\(796\) | 1.44680 | − | 43.3822i | 0.0512805 | − | 1.53764i | ||||
\(797\) | 11.5796 | − | 23.4811i | 0.410171 | − | 0.831744i | −0.589541 | − | 0.807738i | \(-0.700691\pi\) |
0.999712 | − | 0.0240056i | \(-0.00764194\pi\) | |||||||
\(798\) | −1.06900 | − | 2.08234i | −0.0378422 | − | 0.0737141i | ||||
\(799\) | −18.0912 | − | 10.4450i | −0.640021 | − | 0.369516i | ||||
\(800\) | −3.26905 | + | 1.28605i | −0.115578 | + | 0.0454686i | ||||
\(801\) | 19.2985 | + | 16.9191i | 0.681880 | + | 0.597807i | ||||
\(802\) | 9.45621 | − | 18.3958i | 0.333911 | − | 0.649579i | ||||
\(803\) | 10.3498 | − | 0.678363i | 0.365237 | − | 0.0239389i | ||||
\(804\) | −44.7685 | + | 5.86947i | −1.57886 | + | 0.207000i | ||||
\(805\) | 4.30129 | − | 3.77213i | 0.151601 | − | 0.132950i | ||||
\(806\) | −3.43772 | − | 4.63820i | −0.121089 | − | 0.163374i | ||||
\(807\) | 28.9418 | − | 30.9056i | 1.01880 | − | 1.08793i | ||||
\(808\) | 17.1855 | + | 24.8794i | 0.604584 | + | 0.875256i | ||||
\(809\) | −15.4332 | − | 6.39266i | −0.542604 | − | 0.224754i | 0.0945096 | − | 0.995524i | \(-0.469872\pi\) |
−0.637113 | + | 0.770770i | \(0.719872\pi\) | |||||||
\(810\) | −29.8496 | − | 4.42774i | −1.04881 | − | 0.155575i | ||||
\(811\) | −24.9043 | − | 16.6405i | −0.874508 | − | 0.584328i | 0.0352908 | − | 0.999377i | \(-0.488764\pi\) |
−0.909799 | + | 0.415050i | \(0.863764\pi\) | |||||||
\(812\) | 2.59656 | + | 1.38993i | 0.0911213 | + | 0.0487772i | ||||
\(813\) | 3.26142 | + | 13.9826i | 0.114383 | + | 0.490392i | ||||
\(814\) | −7.32122 | + | 3.45994i | −0.256609 | + | 0.121271i | ||||
\(815\) | 0.565147 | − | 2.10916i | 0.0197962 | − | 0.0738806i | ||||
\(816\) | −24.5656 | − | 17.6462i | −0.859970 | − | 0.617742i | ||||
\(817\) | 1.21923 | + | 4.55022i | 0.0426554 | + | 0.159192i | ||||
\(818\) | 22.0756 | + | 26.0353i | 0.771856 | + | 0.910304i | ||||
\(819\) | 0.993288 | − | 0.762419i | 0.0347083 | − | 0.0266411i | ||||
\(820\) | 26.2574 | − | 11.8777i | 0.916948 | − | 0.414787i | ||||
\(821\) | 2.24200 | + | 4.54633i | 0.0782464 | + | 0.158668i | 0.932480 | − | 0.361221i | \(-0.117640\pi\) |
−0.854234 | + | 0.519889i | \(0.825973\pi\) | |||||||
\(822\) | 48.4902 | + | 5.58963i | 1.69129 | + | 0.194961i | ||||
\(823\) | −19.0340 | + | 2.50587i | −0.663483 | + | 0.0873492i | −0.454744 | − | 0.890622i | \(-0.650269\pi\) |
−0.208739 | + | 0.977971i | \(0.566936\pi\) | |||||||
\(824\) | −2.35885 | − | 8.28913i | −0.0821744 | − | 0.288766i | ||||
\(825\) | 0.217970 | − | 0.935148i | 0.00758875 | − | 0.0325577i | ||||
\(826\) | −1.66351 | − | 4.21337i | −0.0578808 | − | 0.146602i | ||||
\(827\) | −23.4504 | + | 4.66458i | −0.815451 | + | 0.162203i | −0.585159 | − | 0.810918i | \(-0.698968\pi\) |
−0.230292 | + | 0.973122i | \(0.573968\pi\) | |||||||
\(828\) | 50.4801 | − | 8.31049i | 1.75430 | − | 0.288810i | ||||
\(829\) | 10.9255 | − | 7.30018i | 0.379458 | − | 0.253546i | −0.351184 | − | 0.936306i | \(-0.614221\pi\) |
0.730642 | + | 0.682761i | \(0.239221\pi\) | |||||||
\(830\) | 2.26892 | − | 10.4897i | 0.0787553 | − | 0.364102i | ||||
\(831\) | 2.01089 | − | 20.4330i | 0.0697569 | − | 0.708812i | ||||
\(832\) | 9.60324 | − | 6.85490i | 0.332932 | − | 0.237651i | ||||
\(833\) | 15.1052 | + | 26.1630i | 0.523365 | + | 0.906495i | ||||
\(834\) | −8.32429 | + | 7.54122i | −0.288247 | + | 0.261131i | ||||
\(835\) | −2.12243 | − | 32.3820i | −0.0734496 | − | 1.12062i | ||||
\(836\) | 5.94760 | + | 0.985697i | 0.205702 | + | 0.0340910i | ||||
\(837\) | −13.0994 | + | 5.93888i | −0.452780 | + | 0.205278i | ||||
\(838\) | 24.3964 | − | 30.7199i | 0.842760 | − | 1.06120i | ||||
\(839\) | 7.70732 | + | 1.01469i | 0.266086 | + | 0.0350309i | 0.262389 | − | 0.964962i | \(-0.415490\pi\) |
0.00369741 | + | 0.999993i | \(0.498823\pi\) | |||||||
\(840\) | −2.70124 | − | 1.87292i | −0.0932016 | − | 0.0646220i | ||||
\(841\) | −1.90783 | + | 0.251171i | −0.0657873 | + | 0.00866107i | ||||
\(842\) | 13.5197 | + | 8.10900i | 0.465918 | + | 0.279455i | ||||
\(843\) | 13.8807 | + | 11.3898i | 0.478078 | + | 0.392287i | ||||
\(844\) | −8.63341 | − | 0.855659i | −0.297174 | − | 0.0294530i | ||||
\(845\) | 25.1711 | + | 5.00683i | 0.865911 | + | 0.172240i | ||||
\(846\) | −9.85875 | − | 17.7464i | −0.338951 | − | 0.610133i | ||||
\(847\) | −2.04176 | + | 2.04176i | −0.0701559 | + | 0.0701559i | ||||
\(848\) | −5.58867 | + | 0.728795i | −0.191916 | + | 0.0250269i | ||||
\(849\) | −0.0740418 | − | 0.448250i | −0.00254111 | − | 0.0153839i | ||||
\(850\) | 3.46650 | − | 1.63823i | 0.118900 | − | 0.0561909i | ||||
\(851\) | 51.7871 | − | 17.5794i | 1.77524 | − | 0.602613i | ||||
\(852\) | −5.47780 | − | 3.66439i | −0.187666 | − | 0.125540i | ||||
\(853\) | 34.9770 | − | 17.2488i | 1.19759 | − | 0.590586i | 0.269521 | − | 0.962994i | \(-0.413134\pi\) |
0.928069 | + | 0.372408i | \(0.121468\pi\) | |||||||
\(854\) | −0.386132 | + | 1.35060i | −0.0132132 | + | 0.0462165i | ||||
\(855\) | 19.9710 | + | 13.3398i | 0.682994 | + | 0.456210i | ||||
\(856\) | 16.3472 | + | 45.8202i | 0.558736 | + | 1.56610i | ||||
\(857\) | 2.38143 | − | 18.0888i | 0.0813482 | − | 0.617901i | −0.901405 | − | 0.432978i | \(-0.857463\pi\) |
0.982753 | − | 0.184923i | \(-0.0592037\pi\) | |||||||
\(858\) | 0.0520274 | + | 3.22464i | 0.00177618 | + | 0.110088i | ||||
\(859\) | −35.4726 | + | 31.1086i | −1.21031 | + | 1.06141i | −0.213890 | + | 0.976858i | \(0.568613\pi\) |
−0.996419 | + | 0.0845548i | \(0.973053\pi\) | |||||||
\(860\) | 4.51916 | + | 4.83099i | 0.154102 | + | 0.164735i | ||||
\(861\) | 2.53002 | + | 1.57300i | 0.0862228 | + | 0.0536076i | ||||
\(862\) | −19.8863 | − | 30.8635i | −0.677330 | − | 1.05121i | ||||
\(863\) | 26.3074i | 0.895514i | 0.894155 | + | 0.447757i | \(0.147777\pi\) | ||||
−0.894155 | + | 0.447757i | \(0.852223\pi\) | |||||||
\(864\) | −11.6563 | − | 26.9839i | −0.396554 | − | 0.918011i | ||||
\(865\) | 30.9150i | 1.05114i | ||||||||
\(866\) | 21.9134 | − | 14.1195i | 0.744649 | − | 0.479800i | ||||
\(867\) | 3.02954 | + | 1.88356i | 0.102888 | + | 0.0639692i | ||||
\(868\) | −1.56581 | − | 0.0522199i | −0.0531471 | − | 0.00177246i | ||||
\(869\) | −0.575981 | + | 0.505122i | −0.0195388 | + | 0.0171351i | ||||
\(870\) | −30.2145 | + | 0.487490i | −1.02437 | + | 0.0165275i | ||||
\(871\) | −2.50916 | + | 19.0590i | −0.0850196 | + | 0.645788i | ||||
\(872\) | −26.8310 | + | 24.2733i | −0.908611 | + | 0.821997i | ||||
\(873\) | −1.11562 | + | 17.0612i | −0.0377579 | + | 0.577434i | ||||
\(874\) | −39.1481 | − | 11.1923i | −1.32421 | − | 0.378586i | ||||
\(875\) | −2.63513 | + | 1.29950i | −0.0890838 | + | 0.0439313i | ||||
\(876\) | 7.83075 | + | 39.4784i | 0.264577 | + | 1.33385i | ||||
\(877\) | −41.4958 | + | 14.0859i | −1.40121 | + | 0.475648i | −0.916854 | − | 0.399222i | \(-0.869280\pi\) |
−0.484359 | + | 0.874869i | \(0.660947\pi\) | |||||||
\(878\) | 11.4680 | + | 24.2662i | 0.387025 | + | 0.818946i | ||||
\(879\) | 4.91289 | + | 29.7427i | 0.165708 | + | 1.00320i | ||||
\(880\) | 8.02010 | − | 2.71150i | 0.270358 | − | 0.0914046i | ||||
\(881\) | 24.1950 | − | 24.1950i | 0.815151 | − | 0.815151i | −0.170250 | − | 0.985401i | \(-0.554458\pi\) |
0.985401 | + | 0.170250i | \(0.0544576\pi\) | |||||||
\(882\) | −0.484842 | + | 29.3547i | −0.0163255 | + | 0.988424i | ||||
\(883\) | 30.1183 | + | 5.99090i | 1.01356 | + | 0.201610i | 0.673809 | − | 0.738906i | \(-0.264657\pi\) |
0.339751 | + | 0.940515i | \(0.389657\pi\) | |||||||
\(884\) | −9.95952 | + | 8.16336i | −0.334975 | + | 0.274563i | ||||
\(885\) | 35.9303 | + | 29.4826i | 1.20778 | + | 0.991046i | ||||
\(886\) | −17.1619 | + | 28.6130i | −0.576565 | + | 0.961273i | ||||
\(887\) | −22.6521 | + | 2.98220i | −0.760582 | + | 0.100132i | −0.500833 | − | 0.865544i | \(-0.666973\pi\) |
−0.259748 | + | 0.965676i | \(0.583640\pi\) | |||||||
\(888\) | −17.0051 | − | 26.4229i | −0.570652 | − | 0.886694i | ||||
\(889\) | −2.43148 | − | 0.320111i | −0.0815493 | − | 0.0107362i | ||||
\(890\) | −22.4624 | − | 17.8387i | −0.752941 | − | 0.597953i | ||||
\(891\) | 7.88057 | + | 1.56502i | 0.264009 | + | 0.0524303i | ||||
\(892\) | 7.51052 | + | 10.4945i | 0.251471 | + | 0.351382i | ||||
\(893\) | 1.05672 | + | 16.1224i | 0.0353617 | + | 0.539516i | ||||
\(894\) | 4.74240 | + | 5.23484i | 0.158609 | + | 0.175079i | ||||
\(895\) | 14.7217 | + | 25.4987i | 0.492091 | + | 0.852326i | ||||
\(896\) | 0.163964 | − | 3.19761i | 0.00547766 | − | 0.106825i | ||||
\(897\) | 2.13328 | − | 21.6766i | 0.0712281 | − | 0.723761i | ||||
\(898\) | −14.6930 | − | 3.17810i | −0.490313 | − | 0.106055i | ||||
\(899\) | −11.9756 | + | 8.00182i | −0.399408 | + | 0.266876i | ||||
\(900\) | 3.70790 | + | 0.366916i | 0.123597 | + | 0.0122305i | ||||
\(901\) | 6.03311 | − | 1.20006i | 0.200992 | − | 0.0399798i | ||||
\(902\) | −7.13697 | + | 2.81780i | −0.237635 | + | 0.0938224i | ||||
\(903\) | −0.155234 | + | 0.665995i | −0.00516587 | + | 0.0221629i | ||||
\(904\) | −14.8291 | − | 18.7198i | −0.493208 | − | 0.622612i | ||||
\(905\) | 44.9566 | − | 5.91865i | 1.49441 | − | 0.196743i | ||||
\(906\) | −6.59891 | + | 57.2458i | −0.219234 | + | 1.90186i | ||||
\(907\) | 17.5086 | + | 35.5038i | 0.581362 | + | 1.17889i | 0.966653 | + | 0.256091i | \(0.0824346\pi\) |
−0.385291 | + | 0.922795i | \(0.625899\pi\) | |||||||
\(908\) | 30.2876 | + | 11.4206i | 1.00513 | + | 0.379007i | ||||
\(909\) | −4.19114 | − | 31.7971i | −0.139011 | − | 1.05464i | ||||
\(910\) | −1.06740 | + | 0.905062i | −0.0353841 | + | 0.0300025i | ||||
\(911\) | 11.8806 | + | 44.3388i | 0.393620 | + | 1.46901i | 0.824118 | + | 0.566419i | \(0.191672\pi\) |
−0.430497 | + | 0.902592i | \(0.641662\pi\) | |||||||
\(912\) | −0.792285 | + | 23.3804i | −0.0262352 | + | 0.774203i | ||||
\(913\) | −0.739572 | + | 2.76012i | −0.0244763 | + | 0.0913466i | ||||
\(914\) | −18.7493 | − | 39.6735i | −0.620171 | − | 1.31228i | ||||
\(915\) | −3.27389 | − | 14.0361i | −0.108231 | − | 0.464018i | ||||
\(916\) | −7.93724 | + | 2.40243i | −0.262254 | + | 0.0793784i | ||||
\(917\) | −1.51768 | − | 1.01408i | −0.0501184 | − | 0.0334880i | ||||
\(918\) | 14.6560 | + | 28.5381i | 0.483719 | + | 0.941897i | ||||
\(919\) | −2.50036 | − | 1.03568i | −0.0824794 | − | 0.0341641i | 0.341062 | − | 0.940041i | \(-0.389213\pi\) |
−0.423542 | + | 0.905877i | \(0.639213\pi\) | |||||||
\(920\) | −55.9002 | + | 12.0195i | −1.84298 | + | 0.396272i | ||||
\(921\) | 10.2241 | − | 10.9178i | 0.336896 | − | 0.359755i | ||||
\(922\) | −26.3971 | + | 19.5649i | −0.869342 | + | 0.644335i | ||||
\(923\) | −2.10959 | + | 1.85006i | −0.0694380 | + | 0.0608955i | ||||
\(924\) | 0.694039 | + | 0.533146i | 0.0228322 | + | 0.0175392i | ||||
\(925\) | 3.97457 | − | 0.260507i | 0.130683 | − | 0.00856542i | ||||
\(926\) | 22.0726 | + | 11.3462i | 0.725351 | + | 0.372861i | ||||
\(927\) | −1.78195 | + | 8.96565i | −0.0585268 | + | 0.294470i | ||||
\(928\) | −15.9127 | − | 24.7631i | −0.522360 | − | 0.812887i | ||||
\(929\) | 3.98192 | + | 2.29896i | 0.130642 | + | 0.0754265i | 0.563897 | − | 0.825845i | \(-0.309302\pi\) |
−0.433254 | + | 0.901272i | \(0.642635\pi\) | |||||||
\(930\) | 14.3004 | − | 7.34130i | 0.468928 | − | 0.240731i | ||||
\(931\) | 10.3344 | − | 20.9562i | 0.338698 | − | 0.686811i | ||||
\(932\) | −26.9417 | − | 28.8007i | −0.882504 | − | 0.943398i | ||||
\(933\) | 19.4714 | − | 42.9831i | 0.637466 | − | 1.40720i | ||||
\(934\) | 14.0123 | − | 32.2954i | 0.458498 | − | 1.05674i | ||||
\(935\) | −8.53677 | + | 3.53605i | −0.279182 | + | 0.115641i | ||||
\(936\) | −12.3805 | + | 1.82678i | −0.404668 | + | 0.0597103i | ||||
\(937\) | 3.72058 | + | 1.54111i | 0.121546 | + | 0.0503460i | 0.442628 | − | 0.896706i | \(-0.354046\pi\) |
−0.321082 | + | 0.947052i | \(0.604046\pi\) | |||||||
\(938\) | 3.62670 | + | 3.74967i | 0.118416 | + | 0.122431i | ||||
\(939\) | 0.00613510 | − | 0.00747682i | 0.000200212 | − | 0.000243997i | ||||
\(940\) | 11.9696 | + | 19.2750i | 0.390404 | + | 0.628680i | ||||
\(941\) | 2.34811 | − | 0.797074i | 0.0765460 | − | 0.0259839i | −0.282904 | − | 0.959148i | \(-0.591298\pi\) |
0.359450 | + | 0.933164i | \(0.382964\pi\) | |||||||
\(942\) | −15.3672 | − | 42.9796i | −0.500691 | − | 1.40035i | ||||
\(943\) | 50.0565 | − | 13.4126i | 1.63006 | − | 0.436774i | ||||
\(944\) | −5.96433 | + | 44.8785i | −0.194123 | + | 1.46067i | ||||
\(945\) | 1.64419 | + | 3.07437i | 0.0534856 | + | 0.100009i | ||||
\(946\) | −1.13908 | − | 1.34340i | −0.0370348 | − | 0.0436777i | ||||
\(947\) | 2.04462 | − | 2.33144i | 0.0664411 | − | 0.0757615i | −0.717664 | − | 0.696389i | \(-0.754789\pi\) |
0.784105 | + | 0.620628i | \(0.213122\pi\) | |||||||
\(948\) | −2.23398 | − | 1.96127i | −0.0725564 | − | 0.0636991i | ||||
\(949\) | 17.0988 | + | 1.12072i | 0.555051 | + | 0.0363800i | ||||
\(950\) | −2.54308 | − | 1.52532i | −0.0825083 | − | 0.0494879i | ||||
\(951\) | 13.6155 | + | 7.27628i | 0.441512 | + | 0.235950i | ||||
\(952\) | 0.0539651 | + | 3.49414i | 0.00174902 | + | 0.113246i | ||||
\(953\) | −3.70700 | − | 8.94949i | −0.120082 | − | 0.289902i | 0.852397 | − | 0.522895i | \(-0.175148\pi\) |
−0.972478 | + | 0.232993i | \(0.925148\pi\) | |||||||
\(954\) | 5.62812 | + | 2.01474i | 0.182217 | + | 0.0652297i | ||||
\(955\) | 43.8472 | − | 8.72176i | 1.41886 | − | 0.282229i | ||||
\(956\) | −18.9629 | + | 23.0776i | −0.613305 | + | 0.746382i | ||||
\(957\) | 8.04144 | + | 0.262631i | 0.259943 | + | 0.00848965i | ||||
\(958\) | 4.09439 | + | 3.71323i | 0.132284 | + | 0.119969i | ||||
\(959\) | −2.81971 | − | 4.88389i | −0.0910533 | − | 0.157709i | ||||
\(960\) | 14.4780 | + | 29.4893i | 0.467275 | + | 0.951764i | ||||
\(961\) | −11.6692 | + | 20.2116i | −0.376426 | + | 0.651988i | ||||
\(962\) | −12.7379 | + | 4.08846i | −0.410688 | + | 0.131817i | ||||
\(963\) | 6.72729 | − | 51.1596i | 0.216784 | − | 1.64859i | ||||
\(964\) | −3.94470 | + | 23.8019i | −0.127050 | + | 0.766608i | ||||
\(965\) | 12.4352 | − | 36.6329i | 0.400303 | − | 1.17925i | ||||
\(966\) | −4.24641 | − | 4.11156i | −0.136626 | − | 0.132287i | ||||
\(967\) | −13.9932 | + | 18.2363i | −0.449990 | + | 0.586439i | −0.962173 | − | 0.272438i | \(-0.912170\pi\) |
0.512183 | + | 0.858876i | \(0.328837\pi\) | |||||||
\(968\) | 27.7566 | − | 7.89873i | 0.892131 | − | 0.253875i | ||||
\(969\) | −0.837371 | − | 25.5191i | −0.0269002 | − | 0.819790i | ||||
\(970\) | 0.318510 | − | 19.1063i | 0.0102267 | − | 0.613466i | ||||
\(971\) | −8.12119 | + | 12.1542i | −0.260621 | + | 0.390047i | −0.938585 | − | 0.345048i | \(-0.887863\pi\) |
0.677964 | + | 0.735095i | \(0.262863\pi\) | |||||||
\(972\) | −2.04618 | + | 31.1097i | −0.0656312 | + | 0.997844i | ||||
\(973\) | 1.27279 | + | 0.253173i | 0.0408037 | + | 0.00811636i | ||||
\(974\) | −32.3155 | + | 5.86977i | −1.03545 | + | 0.188080i | ||||
\(975\) | 0.558681 | − | 1.48473i | 0.0178921 | − | 0.0475493i | ||||
\(976\) | 9.93936 | − | 9.91502i | 0.318151 | − | 0.317372i | ||||
\(977\) | −0.283894 | + | 1.05951i | −0.00908258 | + | 0.0338966i | −0.970318 | − | 0.241831i | \(-0.922252\pi\) |
0.961236 | + | 0.275728i | \(0.0889187\pi\) | |||||||
\(978\) | −2.21944 | − | 0.404367i | −0.0709698 | − | 0.0129302i | ||||
\(979\) | 5.74195 | + | 5.03555i | 0.183513 | + | 0.160937i | ||||
\(980\) | −1.05349 | − | 32.7954i | −0.0336526 | − | 1.04761i | ||||
\(981\) | 37.0670 | − | 9.93818i | 1.18346 | − | 0.317302i | ||||
\(982\) | 16.7176 | − | 58.4744i | 0.533481 | − | 1.86599i | ||||
\(983\) | −45.8486 | + | 35.1809i | −1.46234 | + | 1.12210i | −0.494919 | + | 0.868939i | \(0.664802\pi\) |
−0.967425 | + | 0.253157i | \(0.918531\pi\) | |||||||
\(984\) | −14.4415 | − | 26.0379i | −0.460378 | − | 0.830058i | ||||
\(985\) | 12.5514 | + | 9.63101i | 0.399920 | + | 0.306869i | ||||
\(986\) | 19.1298 | + | 25.8100i | 0.609216 | + | 0.821958i | ||||
\(987\) | −0.967830 | + | 2.13648i | −0.0308064 | + | 0.0680050i | ||||
\(988\) | 9.52934 | + | 2.89707i | 0.303169 | + | 0.0921681i | ||||
\(989\) | 6.60880 | + | 9.89077i | 0.210148 | + | 0.314508i | ||||
\(990\) | −8.88222 | − | 1.31894i | −0.282296 | − | 0.0419187i | ||||
\(991\) | − | 25.0646i | − | 0.796202i | −0.917342 | − | 0.398101i | \(-0.869669\pi\) | ||
0.917342 | − | 0.398101i | \(-0.130331\pi\) | |||||||
\(992\) | 13.4179 | + | 8.07036i | 0.426020 | + | 0.256234i | ||||
\(993\) | −8.25895 | − | 0.812795i | −0.262090 | − | 0.0257933i | ||||
\(994\) | 0.0371286 | + | 0.760524i | 0.00117765 | + | 0.0241224i | ||||
\(995\) | 22.7581 | − | 46.1488i | 0.721480 | − | 1.46302i | ||||
\(996\) | −10.9925 | − | 1.45319i | −0.348312 | − | 0.0460461i | ||||
\(997\) | 16.7712 | + | 5.69305i | 0.531148 | + | 0.180301i | 0.574113 | − | 0.818776i | \(-0.305347\pi\) |
−0.0429647 | + | 0.999077i | \(0.513680\pi\) | |||||||
\(998\) | 4.11374 | + | 35.8558i | 0.130218 | + | 1.13500i | ||||
\(999\) | 3.27437 | + | 33.1668i | 0.103596 | + | 1.04935i |
(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 | 576.2.bm.a.205.88 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.25 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.25 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.88 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.25 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.25 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.88 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.88 | yes | 1504 | 576.517 | even | 48 | inner |