Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(19,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.t (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 19.10 | ||
Character | \(\chi\) | \(=\) | 552.19 |
Dual form | 552.2.t.a.523.10 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{15}{22}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.279033 | − | 1.38641i | −0.197306 | − | 0.980342i | ||||
\(3\) | 0.959493 | − | 0.281733i | 0.553964 | − | 0.162658i | ||||
\(4\) | −1.84428 | + | 0.773709i | −0.922141 | + | 0.386854i | ||||
\(5\) | −3.59098 | − | 2.30779i | −1.60594 | − | 1.03207i | −0.964210 | − | 0.265140i | \(-0.914582\pi\) |
−0.641727 | − | 0.766933i | \(-0.721782\pi\) | |||||||
\(6\) | −0.658327 | − | 1.25164i | −0.268761 | − | 0.510980i | ||||
\(7\) | −0.294270 | − | 2.04669i | −0.111223 | − | 0.773576i | −0.966733 | − | 0.255789i | \(-0.917665\pi\) |
0.855509 | − | 0.517787i | \(-0.173244\pi\) | |||||||
\(8\) | 1.58729 | + | 2.34105i | 0.561193 | + | 0.827685i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | −2.19754 | + | 5.62253i | −0.694924 | + | 1.77800i | ||||
\(11\) | −0.345243 | − | 0.157667i | −0.104095 | − | 0.0475384i | 0.362687 | − | 0.931911i | \(-0.381859\pi\) |
−0.466782 | + | 0.884373i | \(0.654587\pi\) | |||||||
\(12\) | −1.55160 | + | 1.26196i | −0.447907 | + | 0.364297i | ||||
\(13\) | 1.46541 | + | 0.210693i | 0.406430 | + | 0.0584359i | 0.342498 | − | 0.939518i | \(-0.388727\pi\) |
0.0639319 | + | 0.997954i | \(0.479636\pi\) | |||||||
\(14\) | −2.75545 | + | 0.979072i | −0.736424 | + | 0.261668i | ||||
\(15\) | −4.09570 | − | 1.20261i | −1.05751 | − | 0.310512i | ||||
\(16\) | 2.80275 | − | 2.85387i | 0.700687 | − | 0.713468i | ||||
\(17\) | −5.73428 | + | 4.96879i | −1.39077 | + | 1.20511i | −0.438924 | + | 0.898524i | \(0.644640\pi\) |
−0.951844 | + | 0.306583i | \(0.900814\pi\) | |||||||
\(18\) | −0.984289 | − | 1.01547i | −0.231999 | − | 0.239348i | ||||
\(19\) | −0.119581 | − | 0.103618i | −0.0274338 | − | 0.0237715i | 0.641036 | − | 0.767511i | \(-0.278505\pi\) |
−0.668470 | + | 0.743739i | \(0.733050\pi\) | |||||||
\(20\) | 8.40834 | + | 1.47783i | 1.88016 | + | 0.330453i | ||||
\(21\) | −0.858969 | − | 1.88088i | −0.187442 | − | 0.410442i | ||||
\(22\) | −0.122258 | + | 0.522643i | −0.0260654 | + | 0.111428i | ||||
\(23\) | −4.78009 | − | 0.388232i | −0.996718 | − | 0.0809519i | ||||
\(24\) | 2.18255 | + | 1.79902i | 0.445510 | + | 0.367224i | ||||
\(25\) | 5.49222 | + | 12.0263i | 1.09844 | + | 2.40526i | ||||
\(26\) | −0.116788 | − | 2.09045i | −0.0229039 | − | 0.409970i | ||||
\(27\) | 0.654861 | − | 0.755750i | 0.126028 | − | 0.145444i | ||||
\(28\) | 2.12626 | + | 3.54699i | 0.401825 | + | 0.670319i | ||||
\(29\) | 2.74809 | − | 2.38123i | 0.510307 | − | 0.442183i | −0.361256 | − | 0.932467i | \(-0.617652\pi\) |
0.871563 | + | 0.490283i | \(0.163107\pi\) | |||||||
\(30\) | −0.524475 | + | 6.01390i | −0.0957556 | + | 1.09798i | ||||
\(31\) | −1.90564 | + | 6.49003i | −0.342264 | + | 1.16564i | 0.591066 | + | 0.806623i | \(0.298707\pi\) |
−0.933330 | + | 0.359020i | \(0.883111\pi\) | |||||||
\(32\) | −4.73871 | − | 3.08944i | −0.837693 | − | 0.546142i | ||||
\(33\) | −0.375678 | − | 0.0540143i | −0.0653971 | − | 0.00940269i | ||||
\(34\) | 8.48884 | + | 6.56363i | 1.45582 | + | 1.12565i | ||||
\(35\) | −3.66660 | + | 8.02874i | −0.619769 | + | 1.35710i | ||||
\(36\) | −1.13321 | + | 1.64798i | −0.188868 | + | 0.274663i | ||||
\(37\) | −2.39963 | + | 1.54215i | −0.394497 | + | 0.253528i | −0.722818 | − | 0.691039i | \(-0.757153\pi\) |
0.328321 | + | 0.944566i | \(0.393517\pi\) | |||||||
\(38\) | −0.110290 | + | 0.194701i | −0.0178914 | + | 0.0315847i | ||||
\(39\) | 1.46541 | − | 0.210693i | 0.234653 | − | 0.0337380i | ||||
\(40\) | −0.297317 | − | 12.0698i | −0.0470100 | − | 1.90840i | ||||
\(41\) | −7.43796 | − | 4.78008i | −1.16161 | − | 0.746524i | −0.189696 | − | 0.981843i | \(-0.560750\pi\) |
−0.971918 | + | 0.235319i | \(0.924386\pi\) | |||||||
\(42\) | −2.36800 | + | 1.71571i | −0.365390 | + | 0.264740i | ||||
\(43\) | −3.24224 | − | 11.0421i | −0.494438 | − | 1.68390i | −0.707379 | − | 0.706835i | \(-0.750122\pi\) |
0.212941 | − | 0.977065i | \(-0.431696\pi\) | |||||||
\(44\) | 0.758713 | + | 0.0236652i | 0.114380 | + | 0.00356766i | ||||
\(45\) | −4.26861 | −0.636327 | ||||||||
\(46\) | 0.795552 | + | 6.73551i | 0.117298 | + | 0.993097i | ||||
\(47\) | 4.36154i | 0.636196i | 0.948058 | + | 0.318098i | \(0.103044\pi\) | ||||
−0.948058 | + | 0.318098i | \(0.896956\pi\) | |||||||
\(48\) | 1.88519 | − | 3.52790i | 0.272104 | − | 0.509208i | ||||
\(49\) | 2.61411 | − | 0.767571i | 0.373444 | − | 0.109653i | ||||
\(50\) | 15.1409 | − | 10.9702i | 2.14124 | − | 1.55142i | ||||
\(51\) | −4.10214 | + | 6.38305i | −0.574414 | + | 0.893806i | ||||
\(52\) | −2.86564 | + | 0.745219i | −0.397392 | + | 0.103343i | ||||
\(53\) | −0.643817 | − | 4.47785i | −0.0884351 | − | 0.615079i | −0.985050 | − | 0.172268i | \(-0.944890\pi\) |
0.896615 | − | 0.442811i | \(-0.146019\pi\) | |||||||
\(54\) | −1.23051 | − | 0.697029i | −0.167451 | − | 0.0948536i | ||||
\(55\) | 0.875900 | + | 1.36293i | 0.118106 | + | 0.183777i | ||||
\(56\) | 4.32430 | − | 3.93760i | 0.577859 | − | 0.526184i | ||||
\(57\) | −0.143930 | − | 0.0657304i | −0.0190639 | − | 0.00870621i | ||||
\(58\) | −4.06817 | − | 3.14554i | −0.534177 | − | 0.413030i | ||||
\(59\) | 1.20174 | − | 8.35829i | 0.156453 | − | 1.08816i | −0.748650 | − | 0.662965i | \(-0.769298\pi\) |
0.905104 | − | 0.425191i | \(-0.139793\pi\) | |||||||
\(60\) | 8.48410 | − | 0.950935i | 1.09529 | − | 0.122765i | ||||
\(61\) | −12.3508 | − | 3.62652i | −1.58136 | − | 0.464328i | −0.631076 | − | 0.775721i | \(-0.717386\pi\) |
−0.950281 | + | 0.311392i | \(0.899205\pi\) | |||||||
\(62\) | 9.52960 | + | 0.831081i | 1.21026 | + | 0.105547i | ||||
\(63\) | −1.35408 | − | 1.56269i | −0.170598 | − | 0.196881i | ||||
\(64\) | −2.96099 | + | 7.43186i | −0.370124 | + | 0.928982i | ||||
\(65\) | −4.77601 | − | 4.13844i | −0.592391 | − | 0.513310i | ||||
\(66\) | 0.0299402 | + | 0.535917i | 0.00368539 | + | 0.0659668i | ||||
\(67\) | 0.187409 | − | 0.0855868i | 0.0228957 | − | 0.0104561i | −0.403934 | − | 0.914788i | \(-0.632358\pi\) |
0.426830 | + | 0.904332i | \(0.359630\pi\) | |||||||
\(68\) | 6.73124 | − | 13.6005i | 0.816283 | − | 1.64930i | ||||
\(69\) | −4.69584 | + | 0.974202i | −0.565313 | + | 0.117280i | ||||
\(70\) | 12.1543 | + | 2.84315i | 1.45271 | + | 0.339821i | ||||
\(71\) | 1.71209 | − | 0.781884i | 0.203187 | − | 0.0927926i | −0.311222 | − | 0.950337i | \(-0.600738\pi\) |
0.514410 | + | 0.857545i | \(0.328011\pi\) | |||||||
\(72\) | 2.60098 | + | 1.11126i | 0.306529 | + | 0.130963i | ||||
\(73\) | 8.18492 | − | 9.44590i | 0.957972 | − | 1.10556i | −0.0363708 | − | 0.999338i | \(-0.511580\pi\) |
0.994343 | − | 0.106220i | \(-0.0338748\pi\) | |||||||
\(74\) | 2.80763 | + | 2.89657i | 0.326380 | + | 0.336719i | ||||
\(75\) | 8.65794 | + | 9.99179i | 0.999733 | + | 1.15375i | ||||
\(76\) | 0.300711 | + | 0.0985790i | 0.0344939 | + | 0.0113078i | ||||
\(77\) | −0.221101 | + | 0.753002i | −0.0251968 | + | 0.0858125i | ||||
\(78\) | −0.701004 | − | 1.97287i | −0.0793731 | − | 0.223383i | ||||
\(79\) | −0.244048 | + | 1.69739i | −0.0274575 | + | 0.190971i | −0.998934 | − | 0.0461655i | \(-0.985300\pi\) |
0.971476 | + | 0.237137i | \(0.0762089\pi\) | |||||||
\(80\) | −16.6508 | + | 3.78007i | −1.86161 | + | 0.422625i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −4.55174 | + | 11.6459i | −0.502655 | + | 1.28607i | ||||
\(83\) | 7.42113 | + | 11.5475i | 0.814575 | + | 1.26750i | 0.960520 | + | 0.278211i | \(0.0897414\pi\) |
−0.145945 | + | 0.989293i | \(0.546622\pi\) | |||||||
\(84\) | 3.03943 | + | 2.80428i | 0.331629 | + | 0.305972i | ||||
\(85\) | 32.0586 | − | 4.60933i | 3.47724 | − | 0.499952i | ||||
\(86\) | −14.4042 | + | 7.57619i | −1.55324 | + | 0.816961i | ||||
\(87\) | 1.96590 | − | 3.05900i | 0.210767 | − | 0.327959i | ||||
\(88\) | −0.178896 | − | 1.05849i | −0.0190704 | − | 0.112836i | ||||
\(89\) | −2.15502 | − | 7.33933i | −0.228432 | − | 0.777967i | −0.991324 | − | 0.131441i | \(-0.958040\pi\) |
0.762892 | − | 0.646526i | \(-0.223779\pi\) | |||||||
\(90\) | 1.19108 | + | 5.91806i | 0.125551 | + | 0.623818i | ||||
\(91\) | − | 3.06123i | − | 0.320904i | ||||||
\(92\) | 9.11621 | − | 2.98239i | 0.950431 | − | 0.310936i | ||||
\(93\) | 6.76402i | 0.701396i | ||||||||
\(94\) | 6.04690 | − | 1.21701i | 0.623690 | − | 0.125525i | ||||
\(95\) | 0.190286 | + | 0.648056i | 0.0195230 | + | 0.0664892i | ||||
\(96\) | −5.41715 | − | 1.62925i | −0.552886 | − | 0.166285i | ||||
\(97\) | 0.221436 | − | 0.344561i | 0.0224834 | − | 0.0349849i | −0.829830 | − | 0.558016i | \(-0.811563\pi\) |
0.852313 | + | 0.523031i | \(0.175199\pi\) | |||||||
\(98\) | −1.79359 | − | 3.41005i | −0.181180 | − | 0.344467i | ||||
\(99\) | −0.375678 | + | 0.0540143i | −0.0377571 | + | 0.00542865i | ||||
\(100\) | −19.4340 | − | 17.9305i | −1.94340 | − | 1.79305i | ||||
\(101\) | −7.62481 | − | 11.8644i | −0.758697 | − | 1.18056i | −0.978748 | − | 0.205068i | \(-0.934259\pi\) |
0.220051 | − | 0.975488i | \(-0.429378\pi\) | |||||||
\(102\) | 9.99417 | + | 3.90618i | 0.989570 | + | 0.386769i | ||||
\(103\) | −6.06358 | + | 13.2774i | −0.597463 | + | 1.30826i | 0.333364 | + | 0.942798i | \(0.391816\pi\) |
−0.930826 | + | 0.365462i | \(0.880911\pi\) | |||||||
\(104\) | 1.83279 | + | 3.76501i | 0.179720 | + | 0.369190i | ||||
\(105\) | −1.25612 | + | 8.73652i | −0.122585 | + | 0.852597i | ||||
\(106\) | −6.02850 | + | 2.14206i | −0.585539 | + | 0.208055i | ||||
\(107\) | −0.503100 | + | 1.71340i | −0.0486365 | + | 0.165641i | −0.980230 | − | 0.197861i | \(-0.936601\pi\) |
0.931594 | + | 0.363501i | \(0.118419\pi\) | |||||||
\(108\) | −0.623018 | + | 1.90049i | −0.0599499 | + | 0.182874i | ||||
\(109\) | −3.02733 | − | 3.49373i | −0.289966 | − | 0.334639i | 0.592012 | − | 0.805929i | \(-0.298334\pi\) |
−0.881978 | + | 0.471291i | \(0.843788\pi\) | |||||||
\(110\) | 1.64517 | − | 1.59466i | 0.156861 | − | 0.152045i | ||||
\(111\) | −1.86795 | + | 2.15573i | −0.177298 | + | 0.204613i | ||||
\(112\) | −6.66576 | − | 4.89655i | −0.629855 | − | 0.462681i | ||||
\(113\) | 5.67629 | − | 2.59227i | 0.533980 | − | 0.243861i | −0.130128 | − | 0.991497i | \(-0.541539\pi\) |
0.664108 | + | 0.747637i | \(0.268811\pi\) | |||||||
\(114\) | −0.0509685 | + | 0.217887i | −0.00477364 | + | 0.0204070i | ||||
\(115\) | 16.2693 | + | 12.4256i | 1.51712 | + | 1.15869i | ||||
\(116\) | −3.22587 | + | 6.51788i | −0.299514 | + | 0.605170i | ||||
\(117\) | 1.34669 | − | 0.615011i | 0.124501 | − | 0.0568578i | ||||
\(118\) | −11.9234 | + | 0.666126i | −1.09763 | + | 0.0613219i | ||||
\(119\) | 11.8570 | + | 10.2741i | 1.08693 | + | 0.941829i | ||||
\(120\) | −3.68573 | − | 11.4971i | −0.336459 | − | 1.04954i | ||||
\(121\) | −7.10913 | − | 8.20438i | −0.646285 | − | 0.745853i | ||||
\(122\) | −1.58158 | + | 18.1352i | −0.143190 | + | 1.64189i | ||||
\(123\) | −8.48337 | − | 2.49094i | −0.764920 | − | 0.224601i | ||||
\(124\) | −1.50685 | − | 13.4439i | −0.135319 | − | 1.20729i | ||||
\(125\) | 4.99417 | − | 34.7352i | 0.446692 | − | 3.10681i | ||||
\(126\) | −1.78870 | + | 2.31335i | −0.159350 | + | 0.206090i | ||||
\(127\) | −7.09945 | − | 3.24221i | −0.629974 | − | 0.287700i | 0.0747267 | − | 0.997204i | \(-0.476192\pi\) |
−0.704701 | + | 0.709504i | \(0.748919\pi\) | |||||||
\(128\) | 11.1298 | + | 2.03143i | 0.983748 | + | 0.179555i | ||||
\(129\) | −6.22182 | − | 9.68134i | −0.547801 | − | 0.852395i | ||||
\(130\) | −4.40492 | + | 7.77628i | −0.386337 | + | 0.682025i | ||||
\(131\) | 0.279600 | + | 1.94466i | 0.0244287 | + | 0.169906i | 0.998383 | − | 0.0568369i | \(-0.0181015\pi\) |
−0.973955 | + | 0.226742i | \(0.927192\pi\) | |||||||
\(132\) | 0.734647 | − | 0.191048i | 0.0639428 | − | 0.0166286i | ||||
\(133\) | −0.176884 | + | 0.275237i | −0.0153378 | + | 0.0238661i | ||||
\(134\) | −0.170952 | − | 0.235945i | −0.0147680 | − | 0.0203825i | ||||
\(135\) | −4.09570 | + | 1.20261i | −0.352502 | + | 0.103504i | ||||
\(136\) | −20.7342 | − | 5.53730i | −1.77794 | − | 0.474819i | ||||
\(137\) | 0.635457i | 0.0542907i | 0.999631 | + | 0.0271454i | \(0.00864170\pi\) | ||||
−0.999631 | + | 0.0271454i | \(0.991358\pi\) | |||||||
\(138\) | 2.66094 | + | 6.23854i | 0.226514 | + | 0.531060i | ||||
\(139\) | −18.4461 | −1.56458 | −0.782288 | − | 0.622917i | \(-0.785947\pi\) | ||||
−0.782288 | + | 0.622917i | \(0.785947\pi\) | |||||||
\(140\) | 0.550342 | − | 17.6441i | 0.0465124 | − | 1.49120i | ||||
\(141\) | 1.22879 | + | 4.18487i | 0.103483 | + | 0.352430i | ||||
\(142\) | −1.56174 | − | 2.15549i | −0.131059 | − | 0.180885i | ||||
\(143\) | −0.472701 | − | 0.303787i | −0.0395293 | − | 0.0254039i | ||||
\(144\) | 0.814903 | − | 3.91611i | 0.0679085 | − | 0.326343i | ||||
\(145\) | −15.3637 | + | 2.20897i | −1.27589 | + | 0.183445i | ||||
\(146\) | −15.3798 | − | 8.71196i | −1.27284 | − | 0.721007i | ||||
\(147\) | 2.29197 | − | 1.47296i | 0.189038 | − | 0.121487i | ||||
\(148\) | 3.23242 | − | 4.70077i | 0.265703 | − | 0.386401i | ||||
\(149\) | 4.41655 | − | 9.67089i | 0.361818 | − | 0.792270i | −0.637936 | − | 0.770089i | \(-0.720212\pi\) |
0.999754 | − | 0.0221809i | \(-0.00706099\pi\) | |||||||
\(150\) | 11.4369 | − | 14.7915i | 0.933819 | − | 1.20772i | ||||
\(151\) | 17.0749 | + | 2.45499i | 1.38953 | + | 0.199785i | 0.796132 | − | 0.605123i | \(-0.206876\pi\) |
0.593400 | + | 0.804907i | \(0.297785\pi\) | |||||||
\(152\) | 0.0527631 | − | 0.444416i | 0.00427966 | − | 0.0360469i | ||||
\(153\) | −2.13766 | + | 7.28020i | −0.172819 | + | 0.588569i | ||||
\(154\) | 1.10567 | + | 0.0964256i | 0.0890971 | + | 0.00777020i | ||||
\(155\) | 21.8207 | − | 18.9078i | 1.75268 | − | 1.51871i | ||||
\(156\) | −2.53960 | + | 1.52237i | −0.203331 | + | 0.121888i | ||||
\(157\) | −1.02070 | + | 1.17796i | −0.0814611 | + | 0.0940111i | −0.795017 | − | 0.606587i | \(-0.792538\pi\) |
0.713556 | + | 0.700598i | \(0.247084\pi\) | |||||||
\(158\) | 2.42138 | − | 0.135276i | 0.192635 | − | 0.0107620i | ||||
\(159\) | −1.87929 | − | 4.11508i | −0.149038 | − | 0.326347i | ||||
\(160\) | 9.88684 | + | 22.0301i | 0.781623 | + | 1.74163i | ||||
\(161\) | 0.612046 | + | 9.89761i | 0.0482359 | + | 0.780041i | ||||
\(162\) | −1.37704 | − | 0.322120i | −0.108190 | − | 0.0253081i | ||||
\(163\) | −2.77259 | − | 6.07112i | −0.217166 | − | 0.475526i | 0.769426 | − | 0.638736i | \(-0.220543\pi\) |
−0.986591 | + | 0.163210i | \(0.947815\pi\) | |||||||
\(164\) | 17.4161 | + | 3.06101i | 1.35997 | + | 0.239025i | ||||
\(165\) | 1.22440 | + | 1.06095i | 0.0953194 | + | 0.0825947i | ||||
\(166\) | 13.9389 | − | 13.5109i | 1.08187 | − | 1.04865i | ||||
\(167\) | −13.6547 | + | 11.8319i | −1.05663 | + | 0.915578i | −0.996581 | − | 0.0826171i | \(-0.973672\pi\) |
−0.0600522 | + | 0.998195i | \(0.519127\pi\) | |||||||
\(168\) | 3.03979 | − | 4.99639i | 0.234525 | − | 0.385480i | ||||
\(169\) | −10.3704 | − | 3.04502i | −0.797722 | − | 0.234232i | ||||
\(170\) | −15.3358 | − | 43.1603i | −1.17620 | − | 3.31025i | ||||
\(171\) | −0.156618 | − | 0.0225182i | −0.0119769 | − | 0.00172201i | ||||
\(172\) | 14.5230 | + | 17.8561i | 1.10736 | + | 1.36152i | ||||
\(173\) | 12.7187 | + | 5.80844i | 0.966985 | + | 0.441607i | 0.835367 | − | 0.549693i | \(-0.185255\pi\) |
0.131618 | + | 0.991300i | \(0.457983\pi\) | |||||||
\(174\) | −4.78959 | − | 1.87199i | −0.363098 | − | 0.141915i | ||||
\(175\) | 22.9979 | − | 14.7798i | 1.73848 | − | 1.11725i | ||||
\(176\) | −1.41759 | + | 0.543378i | −0.106855 | + | 0.0409586i | ||||
\(177\) | −1.20174 | − | 8.35829i | −0.0903283 | − | 0.628247i | ||||
\(178\) | −9.57401 | + | 5.03566i | −0.717603 | + | 0.377439i | ||||
\(179\) | −8.28950 | − | 5.32734i | −0.619587 | − | 0.398184i | 0.192855 | − | 0.981227i | \(-0.438225\pi\) |
−0.812441 | + | 0.583043i | \(0.801862\pi\) | |||||||
\(180\) | 7.87252 | − | 3.30266i | 0.586783 | − | 0.246166i | ||||
\(181\) | 8.78571 | − | 2.57972i | 0.653037 | − | 0.191749i | 0.0616007 | − | 0.998101i | \(-0.480379\pi\) |
0.591436 | + | 0.806352i | \(0.298561\pi\) | |||||||
\(182\) | −4.24413 | + | 0.854183i | −0.314596 | + | 0.0633163i | ||||
\(183\) | −12.8722 | −0.951541 | ||||||||
\(184\) | −6.67854 | − | 11.8067i | −0.492349 | − | 0.870398i | ||||
\(185\) | 12.1760 | 0.895195 | ||||||||
\(186\) | 9.37772 | − | 1.88738i | 0.687608 | − | 0.138390i | ||||
\(187\) | 2.76313 | − | 0.811329i | 0.202060 | − | 0.0593303i | ||||
\(188\) | −3.37456 | − | 8.04391i | −0.246115 | − | 0.586663i | ||||
\(189\) | −1.73949 | − | 1.11790i | −0.126529 | − | 0.0813155i | ||||
\(190\) | 0.845377 | − | 0.444644i | 0.0613301 | − | 0.0322579i | ||||
\(191\) | −1.32120 | − | 9.18912i | −0.0955984 | − | 0.664902i | −0.980120 | − | 0.198403i | \(-0.936424\pi\) |
0.884522 | − | 0.466498i | \(-0.154485\pi\) | |||||||
\(192\) | −0.747255 | + | 7.96502i | −0.0539285 | + | 0.574826i | ||||
\(193\) | −2.06997 | + | 1.33029i | −0.149000 | + | 0.0957564i | −0.613017 | − | 0.790070i | \(-0.710044\pi\) |
0.464017 | + | 0.885826i | \(0.346408\pi\) | |||||||
\(194\) | −0.539492 | − | 0.210858i | −0.0387333 | − | 0.0151387i | ||||
\(195\) | −5.74848 | − | 2.62524i | −0.411657 | − | 0.187998i | ||||
\(196\) | −4.22727 | + | 3.43817i | −0.301948 | + | 0.245584i | ||||
\(197\) | −8.14701 | − | 1.17136i | −0.580450 | − | 0.0834561i | −0.154165 | − | 0.988045i | \(-0.549269\pi\) |
−0.426285 | + | 0.904589i | \(0.640178\pi\) | |||||||
\(198\) | 0.179713 | + | 0.505773i | 0.0127716 | + | 0.0359437i | ||||
\(199\) | 0.129699 | + | 0.0380831i | 0.00919414 | + | 0.00269964i | 0.286326 | − | 0.958132i | \(-0.407566\pi\) |
−0.277132 | + | 0.960832i | \(0.589384\pi\) | |||||||
\(200\) | −19.4363 | + | 31.9468i | −1.37435 | + | 2.25898i | ||||
\(201\) | 0.155705 | − | 0.134919i | 0.0109826 | − | 0.00951647i | ||||
\(202\) | −14.3214 | + | 13.8817i | −1.00765 | + | 0.976713i | ||||
\(203\) | −5.68232 | − | 4.92376i | −0.398821 | − | 0.345580i | ||||
\(204\) | 2.62687 | − | 14.9460i | 0.183918 | − | 1.04643i | ||||
\(205\) | 15.6782 | + | 34.3304i | 1.09501 | + | 2.39774i | ||||
\(206\) | 20.0999 | + | 4.70180i | 1.40043 | + | 0.327590i | ||||
\(207\) | −4.23116 | + | 2.25771i | −0.294086 | + | 0.156922i | ||||
\(208\) | 4.70846 | − | 3.59156i | 0.326473 | − | 0.249030i | ||||
\(209\) | 0.0249474 | + | 0.0546272i | 0.00172565 | + | 0.00377864i | ||||
\(210\) | 12.4629 | − | 0.696270i | 0.860024 | − | 0.0480472i | ||||
\(211\) | −8.78261 | + | 10.1357i | −0.604620 | + | 0.697768i | −0.972711 | − | 0.232021i | \(-0.925466\pi\) |
0.368091 | + | 0.929790i | \(0.380012\pi\) | |||||||
\(212\) | 4.65193 | + | 7.76028i | 0.319496 | + | 0.532978i | ||||
\(213\) | 1.42245 | − | 1.23256i | 0.0974649 | − | 0.0844538i | ||||
\(214\) | 2.51586 | + | 0.219410i | 0.171981 | + | 0.0149985i | ||||
\(215\) | −13.8399 | + | 47.1343i | −0.943872 | + | 3.21453i | ||||
\(216\) | 2.80870 | + | 0.333462i | 0.191108 | + | 0.0226892i | ||||
\(217\) | 13.8438 | + | 1.99044i | 0.939782 | + | 0.135120i | ||||
\(218\) | −3.99903 | + | 5.17200i | −0.270848 | + | 0.350292i | ||||
\(219\) | 5.19215 | − | 11.3692i | 0.350853 | − | 0.768261i | ||||
\(220\) | −2.66991 | − | 1.83593i | −0.180006 | − | 0.123778i | ||||
\(221\) | −9.44994 | + | 6.07311i | −0.635672 | + | 0.408521i | ||||
\(222\) | 3.50996 | + | 1.98824i | 0.235573 | + | 0.133442i | ||||
\(223\) | 6.13073 | − | 0.881466i | 0.410544 | − | 0.0590273i | 0.0660512 | − | 0.997816i | \(-0.478960\pi\) |
0.344493 | + | 0.938789i | \(0.388051\pi\) | |||||||
\(224\) | −4.92868 | + | 10.6078i | −0.329311 | + | 0.708763i | ||||
\(225\) | 11.1222 | + | 7.14783i | 0.741483 | + | 0.476522i | ||||
\(226\) | −5.17783 | − | 7.14635i | −0.344424 | − | 0.475368i | ||||
\(227\) | 1.86220 | + | 6.34206i | 0.123598 | + | 0.420937i | 0.997924 | − | 0.0644024i | \(-0.0205141\pi\) |
−0.874326 | + | 0.485340i | \(0.838696\pi\) | |||||||
\(228\) | 0.316303 | + | 0.00986587i | 0.0209477 | + | 0.000653383i | ||||
\(229\) | −4.24638 | −0.280608 | −0.140304 | − | 0.990108i | \(-0.544808\pi\) | ||||
−0.140304 | + | 0.990108i | \(0.544808\pi\) | |||||||
\(230\) | 12.6873 | − | 26.0231i | 0.836576 | − | 1.71591i | ||||
\(231\) | 0.784791i | 0.0516355i | ||||||||
\(232\) | 9.93659 | + | 2.65368i | 0.652369 | + | 0.174223i | ||||
\(233\) | 0.0975530 | − | 0.0286442i | 0.00639091 | − | 0.00187654i | −0.278536 | − | 0.960426i | \(-0.589849\pi\) |
0.284926 | + | 0.958549i | \(0.408031\pi\) | |||||||
\(234\) | −1.22843 | − | 1.69546i | −0.0803049 | − | 0.110835i | ||||
\(235\) | 10.0655 | − | 15.6622i | 0.656601 | − | 1.02169i | ||||
\(236\) | 4.25053 | + | 16.3448i | 0.276686 | + | 1.06396i | ||||
\(237\) | 0.244048 | + | 1.69739i | 0.0158526 | + | 0.110257i | ||||
\(238\) | 10.9357 | − | 19.3055i | 0.708857 | − | 1.25139i | ||||
\(239\) | 6.93709 | + | 10.7943i | 0.448723 | + | 0.698227i | 0.989755 | − | 0.142775i | \(-0.0456026\pi\) |
−0.541032 | + | 0.841002i | \(0.681966\pi\) | |||||||
\(240\) | −14.9113 | + | 8.31801i | −0.962521 | + | 0.536925i | ||||
\(241\) | −1.04584 | − | 0.477620i | −0.0673687 | − | 0.0307662i | 0.381446 | − | 0.924391i | \(-0.375426\pi\) |
−0.448814 | + | 0.893625i | \(0.648154\pi\) | |||||||
\(242\) | −9.39098 | + | 12.1455i | −0.603675 | + | 0.780741i | ||||
\(243\) | 0.142315 | − | 0.989821i | 0.00912950 | − | 0.0634971i | ||||
\(244\) | 25.5842 | − | 2.86759i | 1.63786 | − | 0.183579i | ||||
\(245\) | −11.1586 | − | 3.27646i | −0.712897 | − | 0.209325i | ||||
\(246\) | −1.08634 | + | 12.4565i | −0.0692624 | + | 0.794198i | ||||
\(247\) | −0.153403 | − | 0.177037i | −0.00976081 | − | 0.0112646i | ||||
\(248\) | −18.2183 | + | 5.84038i | −1.15686 | + | 0.370865i | ||||
\(249\) | 10.3738 | + | 8.98898i | 0.657415 | + | 0.569653i | ||||
\(250\) | −49.5509 | + | 2.76827i | −3.13387 | + | 0.175081i | ||||
\(251\) | −11.6481 | + | 5.31949i | −0.735219 | + | 0.335763i | −0.747590 | − | 0.664160i | \(-0.768789\pi\) |
0.0123715 | + | 0.999923i | \(0.496062\pi\) | |||||||
\(252\) | 3.70637 | + | 1.83438i | 0.233479 | + | 0.115555i | ||||
\(253\) | 1.58908 | + | 0.887697i | 0.0999047 | + | 0.0558091i | ||||
\(254\) | −2.51406 | + | 10.7475i | −0.157746 | + | 0.674355i | ||||
\(255\) | 29.4614 | − | 13.4546i | 1.84495 | − | 0.842558i | ||||
\(256\) | −0.289189 | − | 15.9974i | −0.0180743 | − | 0.999837i | ||||
\(257\) | −5.05119 | + | 5.82938i | −0.315084 | + | 0.363627i | −0.891096 | − | 0.453815i | \(-0.850063\pi\) |
0.576012 | + | 0.817441i | \(0.304608\pi\) | |||||||
\(258\) | −11.6862 | + | 11.3274i | −0.727554 | + | 0.705214i | ||||
\(259\) | 3.86244 | + | 4.45749i | 0.240000 | + | 0.276975i | ||||
\(260\) | 12.0103 | + | 3.93720i | 0.744844 | + | 0.244175i | ||||
\(261\) | 1.02445 | − | 3.48895i | 0.0634117 | − | 0.215960i | ||||
\(262\) | 2.61808 | − | 0.930263i | 0.161746 | − | 0.0574719i | ||||
\(263\) | 1.44397 | − | 10.0430i | 0.0890389 | − | 0.619279i | −0.895624 | − | 0.444812i | \(-0.853271\pi\) |
0.984663 | − | 0.174467i | \(-0.0558203\pi\) | |||||||
\(264\) | −0.469862 | − | 0.965216i | −0.0289180 | − | 0.0594049i | ||||
\(265\) | −8.02197 | + | 17.5657i | −0.492786 | + | 1.07905i | ||||
\(266\) | 0.430948 | + | 0.168434i | 0.0264231 | + | 0.0103274i | ||||
\(267\) | −4.13545 | − | 6.43489i | −0.253086 | − | 0.393809i | ||||
\(268\) | −0.279416 | + | 0.302846i | −0.0170680 | + | 0.0184993i | ||||
\(269\) | 3.24840 | − | 0.467049i | 0.198058 | − | 0.0284765i | −0.0425716 | − | 0.999093i | \(-0.513555\pi\) |
0.240630 | + | 0.970617i | \(0.422646\pi\) | |||||||
\(270\) | 2.81014 | + | 5.34277i | 0.171020 | + | 0.325150i | ||||
\(271\) | 10.4667 | − | 16.2865i | 0.635807 | − | 0.989335i | −0.362546 | − | 0.931966i | \(-0.618093\pi\) |
0.998353 | − | 0.0573689i | \(-0.0182711\pi\) | |||||||
\(272\) | −1.89148 | + | 30.2912i | −0.114688 | + | 1.83667i | ||||
\(273\) | −0.862448 | − | 2.93723i | −0.0521978 | − | 0.177769i | ||||
\(274\) | 0.881006 | − | 0.177313i | 0.0532235 | − | 0.0107119i | ||||
\(275\) | − | 5.01793i | − | 0.302592i | ||||||
\(276\) | 7.90671 | − | 5.42992i | 0.475928 | − | 0.326843i | ||||
\(277\) | − | 7.20407i | − | 0.432851i | −0.976299 | − | 0.216425i | \(-0.930560\pi\) | ||
0.976299 | − | 0.216425i | \(-0.0694398\pi\) | |||||||
\(278\) | 5.14706 | + | 25.5739i | 0.308700 | + | 1.53382i | ||||
\(279\) | 1.90564 | + | 6.49003i | 0.114088 | + | 0.388548i | ||||
\(280\) | −24.6156 | + | 4.16029i | −1.47107 | + | 0.248625i | ||||
\(281\) | −1.28826 | + | 2.00457i | −0.0768511 | + | 0.119583i | −0.877552 | − | 0.479482i | \(-0.840824\pi\) |
0.800700 | + | 0.599065i | \(0.204461\pi\) | |||||||
\(282\) | 5.45908 | − | 2.87132i | 0.325084 | − | 0.170985i | ||||
\(283\) | 5.49957 | − | 0.790719i | 0.326916 | − | 0.0470034i | 0.0230970 | − | 0.999733i | \(-0.492647\pi\) |
0.303819 | + | 0.952730i | \(0.401738\pi\) | |||||||
\(284\) | −2.55262 | + | 2.76667i | −0.151470 | + | 0.164172i | ||||
\(285\) | 0.365157 | + | 0.568195i | 0.0216300 | + | 0.0336570i | ||||
\(286\) | −0.289275 | + | 0.740125i | −0.0171052 | + | 0.0437645i | ||||
\(287\) | −7.59459 | + | 16.6298i | −0.448294 | + | 0.981628i | ||||
\(288\) | −5.65673 | − | 0.0370686i | −0.333326 | − | 0.00218429i | ||||
\(289\) | 5.77383 | − | 40.1579i | 0.339637 | − | 2.36223i | ||||
\(290\) | 7.34951 | + | 20.6841i | 0.431578 | + | 1.21461i | ||||
\(291\) | 0.115392 | − | 0.392990i | 0.00676442 | − | 0.0230375i | ||||
\(292\) | −7.78692 | + | 23.7536i | −0.455695 | + | 1.39008i | ||||
\(293\) | 18.2946 | + | 21.1131i | 1.06878 | + | 1.23344i | 0.971212 | + | 0.238215i | \(0.0765623\pi\) |
0.0975723 | + | 0.995228i | \(0.468892\pi\) | |||||||
\(294\) | −2.68166 | − | 2.76661i | −0.156398 | − | 0.161352i | ||||
\(295\) | −23.6046 | + | 27.2411i | −1.37431 | + | 1.58604i | ||||
\(296\) | −7.41916 | − | 3.16980i | −0.431230 | − | 0.184241i | ||||
\(297\) | −0.345243 | + | 0.157667i | −0.0200330 | + | 0.00914877i | ||||
\(298\) | −14.6402 | − | 3.42466i | −0.848084 | − | 0.198385i | ||||
\(299\) | −6.92297 | − | 1.57605i | −0.400366 | − | 0.0911454i | ||||
\(300\) | −23.6984 | − | 11.7290i | −1.36823 | − | 0.677172i | ||||
\(301\) | −21.6456 | + | 9.88521i | −1.24763 | + | 0.569774i | ||||
\(302\) | −1.36081 | − | 24.3578i | −0.0783056 | − | 1.40164i | ||||
\(303\) | −10.6586 | − | 9.23569i | −0.612318 | − | 0.530577i | ||||
\(304\) | −0.630867 | + | 0.0508551i | −0.0361827 | + | 0.00291674i | ||||
\(305\) | 35.9823 | + | 41.5258i | 2.06034 | + | 2.37776i | ||||
\(306\) | 10.6898 | + | 0.932266i | 0.611097 | + | 0.0532941i | ||||
\(307\) | 25.2134 | + | 7.40333i | 1.43901 | + | 0.422531i | 0.905891 | − | 0.423511i | \(-0.139203\pi\) |
0.533116 | + | 0.846042i | \(0.321021\pi\) | |||||||
\(308\) | −0.174831 | − | 1.55981i | −0.00996192 | − | 0.0888787i | ||||
\(309\) | −2.07729 | + | 14.4479i | −0.118173 | + | 0.821911i | ||||
\(310\) | −32.3027 | − | 24.9767i | −1.83467 | − | 1.41858i | ||||
\(311\) | −17.0478 | − | 7.78546i | −0.966691 | − | 0.441473i | −0.131429 | − | 0.991326i | \(-0.541957\pi\) |
−0.835262 | + | 0.549853i | \(0.814684\pi\) | |||||||
\(312\) | 2.81927 | + | 3.09615i | 0.159610 | + | 0.175285i | ||||
\(313\) | 11.6361 | + | 18.1061i | 0.657709 | + | 1.02342i | 0.996584 | + | 0.0825840i | \(0.0263173\pi\) |
−0.338875 | + | 0.940831i | \(0.610046\pi\) | |||||||
\(314\) | 1.91794 | + | 1.08643i | 0.108236 | + | 0.0613108i | ||||
\(315\) | 1.25612 | + | 8.73652i | 0.0707745 | + | 0.492247i | ||||
\(316\) | −0.863192 | − | 3.31928i | −0.0485583 | − | 0.186724i | ||||
\(317\) | 13.3058 | − | 20.7043i | 0.747329 | − | 1.16287i | −0.234318 | − | 0.972160i | \(-0.575286\pi\) |
0.981647 | − | 0.190707i | \(-0.0610781\pi\) | |||||||
\(318\) | −5.18081 | + | 3.75372i | −0.290526 | + | 0.210498i | ||||
\(319\) | −1.32420 | + | 0.388820i | −0.0741409 | + | 0.0217697i | ||||
\(320\) | 27.7840 | − | 19.8543i | 1.55317 | − | 1.10989i | ||||
\(321\) | 1.78574i | 0.0996701i | ||||||||
\(322\) | 13.5514 | − | 3.61030i | 0.755190 | − | 0.201194i | ||||
\(323\) | 1.20056 | 0.0668012 | ||||||||
\(324\) | −0.0623521 | + | 1.99903i | −0.00346401 | + | 0.111057i | ||||
\(325\) | 5.51447 | + | 18.7805i | 0.305888 | + | 1.04176i | ||||
\(326\) | −7.64343 | + | 5.53799i | −0.423331 | + | 0.306721i | ||||
\(327\) | −3.88900 | − | 2.49931i | −0.215062 | − | 0.138212i | ||||
\(328\) | −0.615829 | − | 25.0000i | −0.0340035 | − | 1.38039i | ||||
\(329\) | 8.92672 | − | 1.28347i | 0.492146 | − | 0.0707599i | ||||
\(330\) | 1.12927 | − | 1.99356i | 0.0621640 | − | 0.109742i | ||||
\(331\) | 7.17662 | − | 4.61213i | 0.394463 | − | 0.253506i | −0.328341 | − | 0.944559i | \(-0.606489\pi\) |
0.722804 | + | 0.691053i | \(0.242853\pi\) | |||||||
\(332\) | −22.6211 | − | 15.5551i | −1.24149 | − | 0.853695i | ||||
\(333\) | −1.18495 | + | 2.59467i | −0.0649348 | + | 0.142187i | ||||
\(334\) | 20.2140 | + | 15.6296i | 1.10606 | + | 0.855213i | ||||
\(335\) | −0.870499 | − | 0.125159i | −0.0475604 | − | 0.00683816i | ||||
\(336\) | −7.77527 | − | 2.82025i | −0.424176 | − | 0.153857i | ||||
\(337\) | 6.91811 | − | 23.5609i | 0.376854 | − | 1.28345i | −0.524888 | − | 0.851171i | \(-0.675893\pi\) |
0.901742 | − | 0.432275i | \(-0.142289\pi\) | |||||||
\(338\) | −1.32798 | + | 15.2273i | −0.0722326 | + | 0.828256i | ||||
\(339\) | 4.71603 | − | 4.08646i | 0.256140 | − | 0.221946i | ||||
\(340\) | −55.5588 | + | 33.3049i | −3.01310 | + | 1.80621i | ||||
\(341\) | 1.68117 | − | 1.94018i | 0.0910407 | − | 0.105067i | ||||
\(342\) | 0.0124819 | + | 0.223420i | 0.000674943 | + | 0.0120812i | ||||
\(343\) | −8.35301 | − | 18.2905i | −0.451020 | − | 0.987597i | ||||
\(344\) | 20.7036 | − | 25.1173i | 1.11626 | − | 1.35423i | ||||
\(345\) | 19.1109 | + | 7.33865i | 1.02890 | + | 0.395100i | ||||
\(346\) | 4.50396 | − | 19.2541i | 0.242134 | − | 1.03511i | ||||
\(347\) | 8.46169 | + | 18.5285i | 0.454248 | + | 0.994663i | 0.988761 | + | 0.149503i | \(0.0477675\pi\) |
−0.534514 | + | 0.845160i | \(0.679505\pi\) | |||||||
\(348\) | −1.25890 | + | 7.16269i | −0.0674840 | + | 0.383960i | ||||
\(349\) | 21.1787 | + | 18.3515i | 1.13367 | + | 0.982331i | 0.999962 | − | 0.00868968i | \(-0.00276605\pi\) |
0.133708 | + | 0.991021i | \(0.457311\pi\) | |||||||
\(350\) | −26.9081 | − | 27.7605i | −1.43830 | − | 1.48386i | ||||
\(351\) | 1.11887 | − | 0.969505i | 0.0597207 | − | 0.0517483i | ||||
\(352\) | 1.14890 | + | 1.81375i | 0.0612366 | + | 0.0966730i | ||||
\(353\) | −13.6320 | − | 4.00272i | −0.725559 | − | 0.213043i | −0.101961 | − | 0.994788i | \(-0.532512\pi\) |
−0.623598 | + | 0.781745i | \(0.714330\pi\) | |||||||
\(354\) | −11.2527 | + | 3.99834i | −0.598075 | + | 0.212510i | ||||
\(355\) | −7.95250 | − | 1.14340i | −0.422075 | − | 0.0606852i | ||||
\(356\) | 9.65296 | + | 11.8684i | 0.511606 | + | 0.629025i | ||||
\(357\) | 14.2713 | + | 6.51746i | 0.755315 | + | 0.344941i | ||||
\(358\) | −5.07285 | + | 12.9792i | −0.268109 | + | 0.685971i | ||||
\(359\) | 25.6561 | − | 16.4882i | 1.35408 | − | 0.870214i | 0.356143 | − | 0.934431i | \(-0.384092\pi\) |
0.997936 | + | 0.0642178i | \(0.0204552\pi\) | |||||||
\(360\) | −6.77554 | − | 9.99301i | −0.357102 | − | 0.526678i | ||||
\(361\) | −2.70042 | − | 18.7818i | −0.142127 | − | 0.988517i | ||||
\(362\) | −6.02805 | − | 11.4608i | −0.316827 | − | 0.602366i | ||||
\(363\) | −9.13261 | − | 5.86917i | −0.479337 | − | 0.308051i | ||||
\(364\) | 2.36850 | + | 5.64577i | 0.124143 | + | 0.295919i | ||||
\(365\) | −51.1910 | + | 15.0310i | −2.67946 | + | 0.786760i | ||||
\(366\) | 3.59177 | + | 17.8462i | 0.187745 | + | 0.932836i | ||||
\(367\) | 11.0177 | 0.575119 | 0.287559 | − | 0.957763i | \(-0.407156\pi\) | ||||
0.287559 | + | 0.957763i | \(0.407156\pi\) | |||||||
\(368\) | −14.5054 | + | 12.5537i | −0.756144 | + | 0.654405i | ||||
\(369\) | −8.84152 | −0.460271 | ||||||||
\(370\) | −3.39749 | − | 16.8809i | −0.176627 | − | 0.877598i | ||||
\(371\) | −8.97531 | + | 2.63539i | −0.465975 | + | 0.136822i | ||||
\(372\) | −5.23338 | − | 12.4748i | −0.271338 | − | 0.646786i | ||||
\(373\) | −29.1942 | − | 18.7620i | −1.51162 | − | 0.971457i | −0.993212 | − | 0.116322i | \(-0.962889\pi\) |
−0.518406 | − | 0.855135i | \(-0.673474\pi\) | |||||||
\(374\) | −1.89584 | − | 3.60446i | −0.0980317 | − | 0.186382i | ||||
\(375\) | −4.99417 | − | 34.7352i | −0.257898 | − | 1.79372i | ||||
\(376\) | −10.2106 | + | 6.92305i | −0.526570 | + | 0.357029i | ||||
\(377\) | 4.52877 | − | 2.91046i | 0.233244 | − | 0.149897i | ||||
\(378\) | −1.06450 | + | 2.72358i | −0.0547520 | + | 0.140086i | ||||
\(379\) | 0.318531 | + | 0.145468i | 0.0163618 | + | 0.00747220i | 0.423579 | − | 0.905859i | \(-0.360774\pi\) |
−0.407217 | + | 0.913331i | \(0.633501\pi\) | |||||||
\(380\) | −0.852348 | − | 1.04797i | −0.0437246 | − | 0.0537598i | ||||
\(381\) | −7.72531 | − | 1.11073i | −0.395780 | − | 0.0569045i | ||||
\(382\) | −12.3713 | + | 4.39579i | −0.632969 | + | 0.224908i | ||||
\(383\) | 33.2837 | + | 9.77296i | 1.70072 | + | 0.499375i | 0.980854 | − | 0.194743i | \(-0.0623873\pi\) |
0.719861 | + | 0.694118i | \(0.244206\pi\) | |||||||
\(384\) | 11.2513 | − | 1.18650i | 0.574167 | − | 0.0605481i | ||||
\(385\) | 2.53174 | − | 2.19376i | 0.129029 | − | 0.111804i | ||||
\(386\) | 2.42192 | + | 2.49864i | 0.123273 | + | 0.127178i | ||||
\(387\) | −8.69734 | − | 7.53629i | −0.442111 | − | 0.383091i | ||||
\(388\) | −0.141801 | + | 0.806795i | −0.00719883 | + | 0.0409588i | ||||
\(389\) | 12.5078 | + | 27.3882i | 0.634169 | + | 1.38864i | 0.904752 | + | 0.425939i | \(0.140056\pi\) |
−0.270583 | + | 0.962697i | \(0.587217\pi\) | |||||||
\(390\) | −2.03566 | + | 8.70230i | −0.103080 | + | 0.440658i | ||||
\(391\) | 29.3394 | − | 21.5250i | 1.48376 | − | 1.08857i | ||||
\(392\) | 5.94627 | + | 4.90138i | 0.300332 | + | 0.247557i | ||||
\(393\) | 0.816147 | + | 1.78711i | 0.0411692 | + | 0.0901479i | ||||
\(394\) | 0.649288 | + | 11.6220i | 0.0327106 | + | 0.585506i | ||||
\(395\) | 4.79358 | − | 5.53209i | 0.241191 | − | 0.278349i | ||||
\(396\) | 0.651065 | − | 0.390283i | 0.0327172 | − | 0.0196125i | ||||
\(397\) | 13.6022 | − | 11.7863i | 0.682673 | − | 0.591540i | −0.242926 | − | 0.970045i | \(-0.578107\pi\) |
0.925599 | + | 0.378505i | \(0.123562\pi\) | |||||||
\(398\) | 0.0166086 | − | 0.190443i | 0.000832516 | − | 0.00954605i | ||||
\(399\) | −0.0921757 | + | 0.313922i | −0.00461456 | + | 0.0157157i | ||||
\(400\) | 49.7148 | + | 18.0326i | 2.48574 | + | 0.901628i | ||||
\(401\) | 11.5484 | + | 1.66040i | 0.576698 | + | 0.0829167i | 0.424491 | − | 0.905432i | \(-0.360453\pi\) |
0.152207 | + | 0.988349i | \(0.451362\pi\) | |||||||
\(402\) | −0.230500 | − | 0.178225i | −0.0114963 | − | 0.00888904i | ||||
\(403\) | −4.15995 | + | 9.10901i | −0.207222 | + | 0.453752i | ||||
\(404\) | 23.2419 | + | 15.9820i | 1.15633 | + | 0.795134i | ||||
\(405\) | −3.59098 | + | 2.30779i | −0.178437 | + | 0.114675i | ||||
\(406\) | −5.24081 | + | 9.25193i | −0.260097 | + | 0.459166i | ||||
\(407\) | 1.07160 | − | 0.154073i | 0.0531173 | − | 0.00763711i | ||||
\(408\) | −21.4543 | + | 0.528488i | −1.06215 | + | 0.0261640i | ||||
\(409\) | 2.36281 | + | 1.51849i | 0.116834 | + | 0.0750844i | 0.597753 | − | 0.801681i | \(-0.296061\pi\) |
−0.480919 | + | 0.876765i | \(0.659697\pi\) | |||||||
\(410\) | 43.2214 | − | 31.3157i | 2.13455 | − | 1.54657i | ||||
\(411\) | 0.179029 | + | 0.609716i | 0.00883084 | + | 0.0300751i | ||||
\(412\) | 0.910119 | − | 29.1787i | 0.0448383 | − | 1.43753i | ||||
\(413\) | −17.4605 | −0.859173 | ||||||||
\(414\) | 4.31075 | + | 5.23616i | 0.211862 | + | 0.257343i | ||||
\(415\) | − | 58.5933i | − | 2.87623i | ||||||
\(416\) | −6.29320 | − | 5.52570i | −0.308549 | − | 0.270920i | ||||
\(417\) | −17.6989 | + | 5.19686i | −0.866718 | + | 0.254491i | ||||
\(418\) | 0.0687747 | − | 0.0498302i | 0.00336388 | − | 0.00243727i | ||||
\(419\) | 5.23777 | − | 8.15013i | 0.255882 | − | 0.398160i | −0.689417 | − | 0.724364i | \(-0.742133\pi\) |
0.945299 | + | 0.326204i | \(0.105770\pi\) | |||||||
\(420\) | −4.44288 | − | 17.0845i | −0.216790 | − | 0.833637i | ||||
\(421\) | −0.610005 | − | 4.24268i | −0.0297298 | − | 0.206775i | 0.969542 | − | 0.244924i | \(-0.0787631\pi\) |
−0.999272 | + | 0.0381486i | \(0.987854\pi\) | |||||||
\(422\) | 16.5029 | + | 9.34814i | 0.803347 | + | 0.455060i | ||||
\(423\) | 2.35803 | + | 3.66916i | 0.114651 | + | 0.178401i | ||||
\(424\) | 9.46091 | − | 8.61486i | 0.459463 | − | 0.418375i | ||||
\(425\) | −91.2499 | − | 41.6724i | −4.42627 | − | 2.02141i | ||||
\(426\) | −2.10575 | − | 1.62818i | −0.102024 | − | 0.0788857i | ||||
\(427\) | −3.78790 | + | 26.3454i | −0.183309 | + | 1.27494i | ||||
\(428\) | −0.397815 | − | 3.54925i | −0.0192291 | − | 0.171559i | ||||
\(429\) | −0.539140 | − | 0.158306i | −0.0260299 | − | 0.00764308i | ||||
\(430\) | 69.2094 | + | 6.03578i | 3.33757 | + | 0.291071i | ||||
\(431\) | 9.07905 | + | 10.4778i | 0.437322 | + | 0.504697i | 0.931036 | − | 0.364928i | \(-0.118906\pi\) |
−0.493713 | + | 0.869625i | \(0.664361\pi\) | |||||||
\(432\) | −0.321403 | − | 3.98707i | −0.0154635 | − | 0.191828i | ||||
\(433\) | −8.38424 | − | 7.26499i | −0.402921 | − | 0.349133i | 0.429704 | − | 0.902970i | \(-0.358618\pi\) |
−0.832625 | + | 0.553837i | \(0.813163\pi\) | |||||||
\(434\) | −1.10331 | − | 19.7487i | −0.0529604 | − | 0.947967i | ||||
\(435\) | −14.1190 | + | 6.44794i | −0.676956 | + | 0.309155i | ||||
\(436\) | 8.28638 | + | 4.10115i | 0.396846 | + | 0.196409i | ||||
\(437\) | 0.531381 | + | 0.541726i | 0.0254194 | + | 0.0259143i | ||||
\(438\) | −17.2112 | − | 4.02608i | −0.822384 | − | 0.192374i | ||||
\(439\) | −11.8431 | + | 5.40854i | −0.565238 | + | 0.258136i | −0.677475 | − | 0.735546i | \(-0.736926\pi\) |
0.112237 | + | 0.993682i | \(0.464199\pi\) | |||||||
\(440\) | −1.80036 | + | 4.21389i | −0.0858289 | + | 0.200889i | ||||
\(441\) | 1.78415 | − | 2.05901i | 0.0849593 | − | 0.0980483i | ||||
\(442\) | 11.0567 | + | 11.4069i | 0.525912 | + | 0.542572i | ||||
\(443\) | 14.9110 | + | 17.2082i | 0.708443 | + | 0.817587i | 0.989867 | − | 0.141996i | \(-0.0453521\pi\) |
−0.281424 | + | 0.959584i | \(0.590807\pi\) | |||||||
\(444\) | 1.77712 | − | 5.42103i | 0.0843385 | − | 0.257271i | ||||
\(445\) | −9.19894 | + | 31.3287i | −0.436072 | + | 1.48512i | ||||
\(446\) | −2.93275 | − | 8.25377i | −0.138870 | − | 0.390827i | ||||
\(447\) | 1.51304 | − | 10.5234i | 0.0715644 | − | 0.497741i | ||||
\(448\) | 16.0820 | + | 3.87326i | 0.759805 | + | 0.182995i | ||||
\(449\) | −3.98993 | + | 8.73672i | −0.188296 | + | 0.412311i | −0.980111 | − | 0.198450i | \(-0.936409\pi\) |
0.791815 | + | 0.610761i | \(0.209137\pi\) | |||||||
\(450\) | 6.80638 | − | 17.4145i | 0.320856 | − | 0.820927i | ||||
\(451\) | 1.81424 | + | 2.82301i | 0.0854292 | + | 0.132930i | ||||
\(452\) | −8.46301 | + | 9.17268i | −0.398067 | + | 0.431446i | ||||
\(453\) | 17.0749 | − | 2.45499i | 0.802247 | − | 0.115346i | ||||
\(454\) | 8.27310 | − | 4.35141i | 0.388276 | − | 0.204222i | ||||
\(455\) | −7.06466 | + | 10.9928i | −0.331197 | + | 0.515352i | ||||
\(456\) | −0.0745806 | − | 0.441279i | −0.00349256 | − | 0.0206648i | ||||
\(457\) | −9.95591 | − | 33.9067i | −0.465718 | − | 1.58609i | −0.772958 | − | 0.634457i | \(-0.781224\pi\) |
0.307240 | − | 0.951632i | \(-0.400595\pi\) | |||||||
\(458\) | 1.18488 | + | 5.88723i | 0.0553657 | + | 0.275092i | ||||
\(459\) | 7.58755i | 0.354156i | ||||||||
\(460\) | −39.6189 | − | 10.3285i | −1.84724 | − | 0.481571i | ||||
\(461\) | 1.91205i | 0.0890532i | 0.999008 | + | 0.0445266i | \(0.0141779\pi\) | ||||
−0.999008 | + | 0.0445266i | \(0.985822\pi\) | |||||||
\(462\) | 1.08804 | − | 0.218982i | 0.0506204 | − | 0.0101880i | ||||
\(463\) | 7.57972 | + | 25.8141i | 0.352259 | + | 1.19968i | 0.925006 | + | 0.379952i | \(0.124060\pi\) |
−0.572747 | + | 0.819732i | \(0.694122\pi\) | |||||||
\(464\) | 0.906468 | − | 14.5167i | 0.0420817 | − | 0.673920i | ||||
\(465\) | 15.6099 | − | 24.2895i | 0.723892 | − | 1.12640i | ||||
\(466\) | −0.0669331 | − | 0.127256i | −0.00310062 | − | 0.00589503i | ||||
\(467\) | −34.7923 | + | 5.00238i | −1.61000 | + | 0.231482i | −0.887808 | − | 0.460214i | \(-0.847773\pi\) |
−0.722188 | + | 0.691697i | \(0.756863\pi\) | |||||||
\(468\) | −2.00783 | + | 2.17620i | −0.0928120 | + | 0.100595i | ||||
\(469\) | −0.230318 | − | 0.358383i | −0.0106351 | − | 0.0165486i | ||||
\(470\) | −24.5229 | − | 9.58467i | −1.13116 | − | 0.442108i | ||||
\(471\) | −0.647490 | + | 1.41781i | −0.0298348 | + | 0.0653290i | ||||
\(472\) | 21.4747 | − | 10.4537i | 0.988451 | − | 0.481172i | ||||
\(473\) | −0.621610 | + | 4.32339i | −0.0285816 | + | 0.198790i | ||||
\(474\) | 2.28518 | − | 0.811978i | 0.104962 | − | 0.0372954i | ||||
\(475\) | 0.589368 | − | 2.00720i | 0.0270421 | − | 0.0920969i | ||||
\(476\) | −29.8168 | − | 9.77455i | −1.36665 | − | 0.448016i | ||||
\(477\) | −2.96252 | − | 3.41893i | −0.135644 | − | 0.156542i | ||||
\(478\) | 13.0297 | − | 12.6296i | 0.595966 | − | 0.577666i | ||||
\(479\) | 9.32003 | − | 10.7559i | 0.425843 | − | 0.491449i | −0.501765 | − | 0.865004i | \(-0.667316\pi\) |
0.927608 | + | 0.373555i | \(0.121861\pi\) | |||||||
\(480\) | 15.6929 | + | 18.3522i | 0.716281 | + | 0.837661i | ||||
\(481\) | −3.84135 | + | 1.75429i | −0.175150 | + | 0.0799885i | ||||
\(482\) | −0.370355 | + | 1.58324i | −0.0168692 | + | 0.0721147i | ||||
\(483\) | 3.37573 | + | 9.32425i | 0.153601 | + | 0.424268i | ||||
\(484\) | 19.4590 | + | 9.63079i | 0.884502 | + | 0.437763i | ||||
\(485\) | −1.59035 | + | 0.726287i | −0.0722140 | + | 0.0329790i | ||||
\(486\) | −1.41201 | + | 0.0788853i | −0.0640502 | + | 0.00357831i | ||||
\(487\) | −16.2879 | − | 14.1136i | −0.738077 | − | 0.639547i | 0.202440 | − | 0.979295i | \(-0.435113\pi\) |
−0.940517 | + | 0.339748i | \(0.889658\pi\) | |||||||
\(488\) | −11.1145 | − | 34.6701i | −0.503130 | − | 1.56944i | ||||
\(489\) | −4.37071 | − | 5.04407i | −0.197650 | − | 0.228101i | ||||
\(490\) | −1.42891 | + | 16.3847i | −0.0645518 | + | 0.740184i | ||||
\(491\) | −23.9111 | − | 7.02095i | −1.07909 | − | 0.316851i | −0.306578 | − | 0.951845i | \(-0.599184\pi\) |
−0.772517 | + | 0.634995i | \(0.781002\pi\) | |||||||
\(492\) | 17.5730 | − | 1.96966i | 0.792252 | − | 0.0887991i | ||||
\(493\) | −3.92649 | + | 27.3093i | −0.176840 | + | 1.22995i | ||||
\(494\) | −0.202641 | + | 0.262079i | −0.00911727 | + | 0.0117915i | ||||
\(495\) | 1.47371 | + | 0.673019i | 0.0662382 | + | 0.0302500i | ||||
\(496\) | 13.1807 | + | 23.6284i | 0.591830 | + | 1.06095i | ||||
\(497\) | −2.10409 | − | 3.27403i | −0.0943813 | − | 0.146860i | ||||
\(498\) | 9.56780 | − | 16.8906i | 0.428743 | − | 0.756887i | ||||
\(499\) | 2.44681 | + | 17.0180i | 0.109534 | + | 0.761828i | 0.968359 | + | 0.249559i | \(0.0802858\pi\) |
−0.858825 | + | 0.512269i | \(0.828805\pi\) | |||||||
\(500\) | 17.6643 | + | 67.9256i | 0.789971 | + | 3.03772i | ||||
\(501\) | −9.76818 | + | 15.1996i | −0.436410 | + | 0.679067i | ||||
\(502\) | 10.6252 | + | 14.6647i | 0.474226 | + | 0.654518i | ||||
\(503\) | −22.8256 | + | 6.70220i | −1.01774 | + | 0.298836i | −0.747718 | − | 0.664017i | \(-0.768850\pi\) |
−0.270025 | + | 0.962853i | \(0.587032\pi\) | |||||||
\(504\) | 1.50901 | − | 5.65041i | 0.0672166 | − | 0.251689i | ||||
\(505\) | 60.2014i | 2.67893i | ||||||||
\(506\) | 0.787310 | − | 2.45082i | 0.0350002 | − | 0.108952i | ||||
\(507\) | −10.8082 | −0.480009 | ||||||||
\(508\) | 15.6019 | + | 0.486642i | 0.692223 | + | 0.0215913i | ||||
\(509\) | −7.67788 | − | 26.1485i | −0.340316 | − | 1.15901i | −0.934881 | − | 0.354962i | \(-0.884494\pi\) |
0.594564 | − | 0.804048i | \(-0.297325\pi\) | |||||||
\(510\) | −26.8743 | − | 37.0914i | −1.19001 | − | 1.64244i | ||||
\(511\) | −21.7414 | − | 13.9723i | −0.961783 | − | 0.618100i | ||||
\(512\) | −22.0983 | + | 4.86473i | −0.976616 | + | 0.214993i | ||||
\(513\) | −0.156618 | + | 0.0225182i | −0.00691485 | + | 0.000994205i | ||||
\(514\) | 9.49137 | + | 5.37644i | 0.418647 | + | 0.237145i | ||||
\(515\) | 52.4156 | − | 33.6855i | 2.30971 | − | 1.48436i | ||||
\(516\) | 18.9653 | + | 13.0412i | 0.834902 | + | 0.574109i | ||||
\(517\) | 0.687672 | − | 1.50579i | 0.0302438 | − | 0.0662246i | ||||
\(518\) | 5.10218 | − | 6.59872i | 0.224177 | − | 0.289931i | ||||
\(519\) | 13.8399 | + | 1.98988i | 0.607506 | + | 0.0873461i | ||||
\(520\) | 2.10734 | − | 17.7498i | 0.0924128 | − | 0.778379i | ||||
\(521\) | 6.29261 | − | 21.4307i | 0.275684 | − | 0.938894i | −0.698965 | − | 0.715156i | \(-0.746356\pi\) |
0.974649 | − | 0.223738i | \(-0.0718261\pi\) | |||||||
\(522\) | −5.12297 | − | 0.446777i | −0.224227 | − | 0.0195549i | ||||
\(523\) | −20.4151 | + | 17.6898i | −0.892689 | + | 0.773520i | −0.974795 | − | 0.223104i | \(-0.928381\pi\) |
0.0821054 | + | 0.996624i | \(0.473836\pi\) | |||||||
\(524\) | −2.02026 | − | 3.37017i | −0.0882554 | − | 0.147226i | ||||
\(525\) | 17.9023 | − | 20.6604i | 0.781322 | − | 0.901694i | ||||
\(526\) | −14.3267 | + | 0.800393i | −0.624673 | + | 0.0348988i | ||||
\(527\) | −21.3201 | − | 46.6844i | −0.928716 | − | 2.03360i | ||||
\(528\) | −1.20708 | + | 0.920749i | −0.0525315 | + | 0.0400704i | ||||
\(529\) | 22.6986 | + | 3.71157i | 0.986894 | + | 0.161372i | ||||
\(530\) | 26.5917 | + | 6.22037i | 1.15507 | + | 0.270196i | ||||
\(531\) | −3.50786 | − | 7.68115i | −0.152228 | − | 0.333333i | ||||
\(532\) | 0.113271 | − | 0.644471i | 0.00491091 | − | 0.0279413i | ||||
\(533\) | −9.89249 | − | 8.57189i | −0.428491 | − | 0.371290i | ||||
\(534\) | −7.76749 | + | 7.52899i | −0.336132 | + | 0.325811i | ||||
\(535\) | 5.76079 | − | 4.99175i | 0.249061 | − | 0.215812i | ||||
\(536\) | 0.497836 | + | 0.302882i | 0.0215032 | + | 0.0130825i | ||||
\(537\) | −9.45460 | − | 2.77612i | −0.407996 | − | 0.119799i | ||||
\(538\) | −1.55393 | − | 4.37330i | −0.0669948 | − | 0.188546i | ||||
\(539\) | −1.02352 | − | 0.147160i | −0.0440862 | − | 0.00633864i | ||||
\(540\) | 6.62316 | − | 5.38683i | 0.285015 | − | 0.231812i | ||||
\(541\) | −4.78072 | − | 2.18328i | −0.205539 | − | 0.0938667i | 0.309986 | − | 0.950741i | \(-0.399676\pi\) |
−0.515525 | + | 0.856875i | \(0.672403\pi\) | |||||||
\(542\) | −25.5004 | − | 9.96670i | −1.09533 | − | 0.428107i | ||||
\(543\) | 7.70304 | − | 4.95044i | 0.330569 | − | 0.212444i | ||||
\(544\) | 42.5239 | − | 5.82986i | 1.82320 | − | 0.249953i | ||||
\(545\) | 2.80833 | + | 19.5324i | 0.120296 | + | 0.836674i | ||||
\(546\) | −3.83156 | + | 2.01529i | −0.163976 | + | 0.0862465i | ||||
\(547\) | −14.0156 | − | 9.00726i | −0.599263 | − | 0.385123i | 0.205554 | − | 0.978646i | \(-0.434100\pi\) |
−0.804817 | + | 0.593523i | \(0.797737\pi\) | |||||||
\(548\) | −0.491659 | − | 1.17196i | −0.0210026 | − | 0.0500637i | ||||
\(549\) | −12.3508 | + | 3.62652i | −0.527119 | + | 0.154776i | ||||
\(550\) | −6.95692 | + | 1.40017i | −0.296644 | + | 0.0597033i | ||||
\(551\) | −0.575356 | −0.0245110 | ||||||||
\(552\) | −9.73433 | − | 9.44684i | −0.414321 | − | 0.402084i | ||||
\(553\) | 3.54584 | 0.150785 | ||||||||
\(554\) | −9.98782 | + | 2.01017i | −0.424342 | + | 0.0854039i | ||||
\(555\) | 11.6828 | − | 3.43037i | 0.495906 | − | 0.145611i | ||||
\(556\) | 34.0198 | − | 14.2719i | 1.44276 | − | 0.605263i | ||||
\(557\) | 12.5827 | + | 8.08639i | 0.533145 | + | 0.342631i | 0.779352 | − | 0.626586i | \(-0.215548\pi\) |
−0.246208 | + | 0.969217i | \(0.579185\pi\) | |||||||
\(558\) | 8.46612 | − | 4.45294i | 0.358400 | − | 0.188508i | ||||
\(559\) | −2.42471 | − | 16.8642i | −0.102554 | − | 0.713281i | ||||
\(560\) | 12.6364 | + | 32.9666i | 0.533987 | + | 1.39309i | ||||
\(561\) | 2.42263 | − | 1.55693i | 0.102284 | − | 0.0657336i | ||||
\(562\) | 3.13863 | + | 1.22672i | 0.132395 | + | 0.0517460i | ||||
\(563\) | 24.4797 | + | 11.1795i | 1.03170 | + | 0.471160i | 0.858006 | − | 0.513640i | \(-0.171703\pi\) |
0.173691 | + | 0.984800i | \(0.444431\pi\) | |||||||
\(564\) | −5.50410 | − | 6.76735i | −0.231764 | − | 0.284957i | ||||
\(565\) | −26.3659 | − | 3.79084i | −1.10922 | − | 0.159482i | ||||
\(566\) | −2.63082 | − | 7.40405i | −0.110582 | − | 0.311215i | ||||
\(567\) | −1.98398 | − | 0.582549i | −0.0833193 | − | 0.0244647i | ||||
\(568\) | 4.54801 | + | 2.76700i | 0.190830 | + | 0.116101i | ||||
\(569\) | 14.8720 | − | 12.8867i | 0.623468 | − | 0.540238i | −0.284822 | − | 0.958581i | \(-0.591934\pi\) |
0.908289 | + | 0.418343i | \(0.137389\pi\) | |||||||
\(570\) | 0.685863 | − | 0.664803i | 0.0287276 | − | 0.0278456i | ||||
\(571\) | −30.5286 | − | 26.4532i | −1.27758 | − | 1.10703i | −0.988738 | − | 0.149654i | \(-0.952184\pi\) |
−0.288843 | − | 0.957377i | \(-0.593270\pi\) | |||||||
\(572\) | 1.10684 | + | 0.194535i | 0.0462792 | + | 0.00813392i | ||||
\(573\) | −3.85655 | − | 8.44468i | −0.161110 | − | 0.352781i | ||||
\(574\) | 25.1749 | + | 5.88897i | 1.05078 | + | 0.245801i | ||||
\(575\) | −21.5843 | − | 59.6190i | −0.900128 | − | 2.48628i | ||||
\(576\) | 1.52702 | + | 7.85291i | 0.0636258 | + | 0.327205i | ||||
\(577\) | 10.5101 | + | 23.0139i | 0.437542 | + | 0.958082i | 0.992043 | + | 0.125900i | \(0.0401817\pi\) |
−0.554501 | + | 0.832183i | \(0.687091\pi\) | |||||||
\(578\) | −57.2865 | + | 3.20044i | −2.38280 | + | 0.133121i | ||||
\(579\) | −1.61134 | + | 1.85958i | −0.0669649 | + | 0.0772817i | ||||
\(580\) | 26.6259 | − | 15.9610i | 1.10558 | − | 0.662744i | ||||
\(581\) | 21.4504 | − | 18.5868i | 0.889911 | − | 0.771112i | ||||
\(582\) | −0.577045 | − | 0.0503243i | −0.0239193 | − | 0.00208601i | ||||
\(583\) | −0.483736 | + | 1.64745i | −0.0200343 | + | 0.0682305i | ||||
\(584\) | 35.1051 | + | 4.16785i | 1.45266 | + | 0.172467i | ||||
\(585\) | −6.25524 | − | 0.899368i | −0.258623 | − | 0.0371843i | ||||
\(586\) | 24.1667 | − | 31.2552i | 0.998319 | − | 1.29114i | ||||
\(587\) | −13.0463 | + | 28.5675i | −0.538480 | + | 1.17911i | 0.423478 | + | 0.905907i | \(0.360809\pi\) |
−0.961957 | + | 0.273200i | \(0.911918\pi\) | |||||||
\(588\) | −3.08739 | + | 4.48986i | −0.127322 | + | 0.185159i | ||||
\(589\) | 0.900360 | − | 0.578626i | 0.0370987 | − | 0.0238419i | ||||
\(590\) | 44.3539 | + | 25.1245i | 1.82602 | + | 1.03436i | ||||
\(591\) | −8.14701 | + | 1.17136i | −0.335123 | + | 0.0481834i | ||||
\(592\) | −2.32446 | + | 11.1705i | −0.0955349 | + | 0.459104i | ||||
\(593\) | 27.0319 | + | 17.3724i | 1.11007 | + | 0.713398i | 0.961308 | − | 0.275475i | \(-0.0888352\pi\) |
0.148761 | + | 0.988873i | \(0.452472\pi\) | |||||||
\(594\) | 0.314926 | + | 0.434655i | 0.0129216 | + | 0.0178341i | ||||
\(595\) | −18.8677 | − | 64.2576i | −0.773502 | − | 2.63431i | ||||
\(596\) | −0.662906 | + | 21.2530i | −0.0271537 | + | 0.870555i | ||||
\(597\) | 0.135175 | 0.00553234 | ||||||||
\(598\) | −0.253322 | + | 10.0379i | −0.0103591 | + | 0.410479i | ||||
\(599\) | 37.8109i | 1.54491i | 0.635068 | + | 0.772456i | \(0.280972\pi\) | ||||
−0.635068 | + | 0.772456i | \(0.719028\pi\) | |||||||
\(600\) | −9.64855 | + | 36.1285i | −0.393900 | + | 1.47494i | ||||
\(601\) | 6.40015 | − | 1.87925i | 0.261068 | − | 0.0766564i | −0.148579 | − | 0.988900i | \(-0.547470\pi\) |
0.409647 | + | 0.912244i | \(0.365652\pi\) | |||||||
\(602\) | 19.7448 | + | 27.2514i | 0.804738 | + | 1.11069i | ||||
\(603\) | 0.111387 | − | 0.173321i | 0.00453602 | − | 0.00705818i | ||||
\(604\) | −33.3903 | + | 8.68327i | −1.35863 | + | 0.353317i | ||||
\(605\) | 6.59484 | + | 45.8681i | 0.268119 | + | 1.86481i | ||||
\(606\) | −9.83040 | + | 17.3542i | −0.399333 | + | 0.704967i | ||||
\(607\) | −5.67262 | − | 8.82678i | −0.230245 | − | 0.358268i | 0.706838 | − | 0.707376i | \(-0.250121\pi\) |
−0.937083 | + | 0.349108i | \(0.886485\pi\) | |||||||
\(608\) | 0.246539 | + | 0.860452i | 0.00999846 | + | 0.0348959i | ||||
\(609\) | −6.83933 | − | 3.12342i | −0.277144 | − | 0.126567i | ||||
\(610\) | 47.5316 | − | 61.4733i | 1.92450 | − | 2.48898i | ||||
\(611\) | −0.918948 | + | 6.39143i | −0.0371767 | + | 0.258569i | ||||
\(612\) | −1.69031 | − | 15.0807i | −0.0683266 | − | 0.609599i | ||||
\(613\) | −14.1321 | − | 4.14957i | −0.570791 | − | 0.167599i | −0.0164146 | − | 0.999865i | \(-0.505225\pi\) |
−0.554377 | + | 0.832266i | \(0.687043\pi\) | |||||||
\(614\) | 3.22871 | − | 37.0220i | 0.130300 | − | 1.49409i | ||||
\(615\) | 24.7151 | + | 28.5227i | 0.996609 | + | 1.15015i | ||||
\(616\) | −2.11376 | + | 0.677627i | −0.0851660 | + | 0.0273024i | ||||
\(617\) | 12.9780 | + | 11.2455i | 0.522476 | + | 0.452728i | 0.875731 | − | 0.482799i | \(-0.160380\pi\) |
−0.353255 | + | 0.935527i | \(0.614925\pi\) | |||||||
\(618\) | 20.6104 | − | 1.15144i | 0.829070 | − | 0.0463179i | ||||
\(619\) | 2.34189 | − | 1.06951i | 0.0941286 | − | 0.0429871i | −0.367794 | − | 0.929907i | \(-0.619887\pi\) |
0.461923 | + | 0.886920i | \(0.347160\pi\) | |||||||
\(620\) | −25.6145 | + | 51.7541i | −1.02870 | + | 2.07850i | ||||
\(621\) | −3.42370 | + | 3.35831i | −0.137388 | + | 0.134765i | ||||
\(622\) | −6.03697 | + | 25.8077i | −0.242061 | + | 1.03479i | ||||
\(623\) | −14.3872 | + | 6.57040i | −0.576410 | + | 0.263237i | ||||
\(624\) | 3.50587 | − | 4.77260i | 0.140347 | − | 0.191057i | ||||
\(625\) | −54.8057 | + | 63.2492i | −2.19223 | + | 2.52997i | ||||
\(626\) | 21.8556 | − | 21.1846i | 0.873527 | − | 0.846706i | ||||
\(627\) | 0.0393271 | + | 0.0453859i | 0.00157057 | + | 0.00181254i | ||||
\(628\) | 0.971072 | − | 2.96221i | 0.0387500 | − | 0.118205i | ||||
\(629\) | 6.09755 | − | 20.7664i | 0.243125 | − | 0.828009i | ||||
\(630\) | 11.7619 | − | 4.17928i | 0.468606 | − | 0.166506i | ||||
\(631\) | −2.34567 | + | 16.3145i | −0.0933797 | + | 0.649470i | 0.888347 | + | 0.459173i | \(0.151854\pi\) |
−0.981727 | + | 0.190297i | \(0.939055\pi\) | |||||||
\(632\) | −4.36104 | + | 2.12293i | −0.173473 | + | 0.0844456i | ||||
\(633\) | −5.57130 | + | 12.1995i | −0.221439 | + | 0.484885i | ||||
\(634\) | −32.4174 | − | 12.6702i | −1.28746 | − | 0.503198i | ||||
\(635\) | 18.0117 | + | 28.0267i | 0.714772 | + | 1.11221i | ||||
\(636\) | 6.64982 | + | 6.13534i | 0.263682 | + | 0.243282i | ||||
\(637\) | 3.99245 | − | 0.574027i | 0.158186 | − | 0.0227438i | ||||
\(638\) | 0.908559 | + | 1.72739i | 0.0359702 | + | 0.0683881i | ||||
\(639\) | 1.01758 | − | 1.58339i | 0.0402549 | − | 0.0626378i | ||||
\(640\) | −35.2790 | − | 32.9801i | −1.39452 | − | 1.30365i | ||||
\(641\) | 4.04113 | + | 13.7628i | 0.159615 | + | 0.543599i | 0.999999 | + | 0.00160721i | \(0.000511592\pi\) |
−0.840384 | + | 0.541992i | \(0.817670\pi\) | |||||||
\(642\) | 2.47577 | − | 0.498279i | 0.0977108 | − | 0.0196655i | ||||
\(643\) | − | 27.2949i | − | 1.07641i | −0.842815 | − | 0.538203i | \(-0.819103\pi\) | ||
0.842815 | − | 0.538203i | \(-0.180897\pi\) | |||||||
\(644\) | −8.78665 | − | 17.7804i | −0.346243 | − | 0.700647i | ||||
\(645\) | 49.1242i | 1.93426i | ||||||||
\(646\) | −0.334997 | − | 1.66448i | −0.0131803 | − | 0.0654880i | ||||
\(647\) | −8.83344 | − | 30.0839i | −0.347278 | − | 1.18272i | −0.929231 | − | 0.369499i | \(-0.879529\pi\) |
0.581953 | − | 0.813223i | \(-0.302289\pi\) | |||||||
\(648\) | 2.78888 | − | 0.471348i | 0.109557 | − | 0.0185163i | ||||
\(649\) | −1.73272 | + | 2.69616i | −0.0680152 | + | 0.105834i | ||||
\(650\) | 24.4989 | − | 12.8857i | 0.960925 | − | 0.505419i | ||||
\(651\) | 13.8438 | − | 1.99044i | 0.542583 | − | 0.0780117i | ||||
\(652\) | 9.81070 | + | 9.05167i | 0.384217 | + | 0.354491i | ||||
\(653\) | −18.8224 | − | 29.2883i | −0.736578 | − | 1.14614i | −0.984162 | − | 0.177272i | \(-0.943273\pi\) |
0.247584 | − | 0.968867i | \(-0.420363\pi\) | |||||||
\(654\) | −2.37992 | + | 6.08915i | −0.0930621 | + | 0.238105i | ||||
\(655\) | 3.48381 | − | 7.62849i | 0.136124 | − | 0.298070i | ||||
\(656\) | −34.4885 | + | 7.82961i | −1.34655 | + | 0.305695i | ||||
\(657\) | 1.77875 | − | 12.3715i | 0.0693957 | − | 0.482658i | ||||
\(658\) | −4.27026 | − | 12.0180i | −0.166472 | − | 0.468510i | ||||
\(659\) | 12.7295 | − | 43.3528i | 0.495872 | − | 1.68878i | −0.207727 | − | 0.978187i | \(-0.566607\pi\) |
0.703599 | − | 0.710597i | \(-0.251575\pi\) | |||||||
\(660\) | −3.07900 | − | 1.00936i | −0.119850 | − | 0.0392893i | ||||
\(661\) | −24.3512 | − | 28.1028i | −0.947154 | − | 1.09307i | −0.995549 | − | 0.0942454i | \(-0.969956\pi\) |
0.0483953 | − | 0.998828i | \(-0.484589\pi\) | |||||||
\(662\) | −8.39683 | − | 8.66282i | −0.326352 | − | 0.336690i | ||||
\(663\) | −7.35616 | + | 8.48946i | −0.285690 | + | 0.329703i | ||||
\(664\) | −15.2537 | + | 35.7025i | −0.591959 | + | 1.38553i | ||||
\(665\) | 1.27037 | − | 0.580161i | 0.0492630 | − | 0.0224977i | ||||
\(666\) | 3.92793 | + | 0.918829i | 0.152204 | + | 0.0356039i | ||||
\(667\) | −14.0606 | + | 10.3156i | −0.544428 | + | 0.399422i | ||||
\(668\) | 16.0287 | − | 32.3861i | 0.620170 | − | 1.25306i | ||||
\(669\) | 5.63406 | − | 2.57299i | 0.217825 | − | 0.0994774i | ||||
\(670\) | 0.0693757 | + | 1.24179i | 0.00268022 | + | 0.0479747i | ||||
\(671\) | 3.69224 | + | 3.19934i | 0.142537 | + | 0.123509i | ||||
\(672\) | −1.74047 | + | 11.5667i | −0.0671402 | + | 0.446194i | ||||
\(673\) | 15.9991 | + | 18.4640i | 0.616721 | + | 0.711734i | 0.975081 | − | 0.221850i | \(-0.0712094\pi\) |
−0.358360 | + | 0.933583i | \(0.616664\pi\) | |||||||
\(674\) | −34.5956 | − | 3.01710i | −1.33257 | − | 0.116214i | ||||
\(675\) | 12.6855 | + | 3.72480i | 0.488265 | + | 0.143367i | ||||
\(676\) | 21.4819 | − | 2.40778i | 0.826226 | − | 0.0926071i | ||||
\(677\) | 3.25355 | − | 22.6289i | 0.125044 | − | 0.869700i | −0.826664 | − | 0.562695i | \(-0.809764\pi\) |
0.951708 | − | 0.307004i | \(-0.0993265\pi\) | |||||||
\(678\) | −6.98145 | − | 5.39811i | −0.268121 | − | 0.207313i | ||||
\(679\) | −0.770372 | − | 0.351817i | −0.0295642 | − | 0.0135015i | ||||
\(680\) | 61.6771 | + | 67.7343i | 2.36521 | + | 2.59749i | ||||
\(681\) | 3.57353 | + | 5.56052i | 0.136938 | + | 0.213080i | ||||
\(682\) | −3.15899 | − | 1.78943i | −0.120964 | − | 0.0685208i | ||||
\(683\) | −4.64482 | − | 32.3054i | −0.177729 | − | 1.23613i | −0.862001 | − | 0.506906i | \(-0.830789\pi\) |
0.684272 | − | 0.729227i | \(-0.260120\pi\) | |||||||
\(684\) | 0.306270 | − | 0.0796466i | 0.0117105 | − | 0.00304536i | ||||
\(685\) | 1.46650 | − | 2.28192i | 0.0560320 | − | 0.0871875i | ||||
\(686\) | −23.0275 | + | 16.6844i | −0.879194 | + | 0.637013i | ||||
\(687\) | −4.07437 | + | 1.19634i | −0.155447 | + | 0.0456433i | ||||
\(688\) | −40.5999 | − | 21.6952i | −1.54786 | − | 0.827122i | ||||
\(689\) | − | 6.69751i | − | 0.255155i | ||||||
\(690\) | 4.84183 | − | 28.5434i | 0.184325 | − | 1.08663i | ||||
\(691\) | −11.5183 | −0.438177 | −0.219088 | − | 0.975705i | \(-0.570308\pi\) | ||||
−0.219088 | + | 0.975705i | \(0.570308\pi\) | |||||||
\(692\) | −27.9509 | − | 0.871823i | −1.06253 | − | 0.0331417i | ||||
\(693\) | 0.221101 | + | 0.753002i | 0.00839894 | + | 0.0286042i | ||||
\(694\) | 23.3271 | − | 16.9015i | 0.885485 | − | 0.641571i | ||||
\(695\) | 66.2396 | + | 42.5696i | 2.51261 | + | 1.61476i | ||||
\(696\) | 10.2817 | − | 0.253271i | 0.389728 | − | 0.00960022i | ||||
\(697\) | 66.4026 | − | 9.54725i | 2.51518 | − | 0.361628i | ||||
\(698\) | 19.5331 | − | 34.4831i | 0.739341 | − | 1.30520i | ||||
\(699\) | 0.0855315 | − | 0.0549677i | 0.00323510 | − | 0.00207907i | ||||
\(700\) | −30.9793 | + | 45.0518i | −1.17091 | + | 1.70280i | ||||
\(701\) | 5.51588 | − | 12.0781i | 0.208332 | − | 0.456184i | −0.776405 | − | 0.630235i | \(-0.782959\pi\) |
0.984737 | + | 0.174051i | \(0.0556859\pi\) | |||||||
\(702\) | −1.65633 | − | 1.28069i | −0.0625143 | − | 0.0483365i | ||||
\(703\) | 0.446744 | + | 0.0642320i | 0.0168493 | + | 0.00242256i | ||||
\(704\) | 2.19402 | − | 2.09894i | 0.0826903 | − | 0.0791069i | ||||
\(705\) | 5.24522 | − | 17.8636i | 0.197546 | − | 0.672781i | ||||
\(706\) | −1.74565 | + | 20.0165i | −0.0656983 | + | 0.753331i | ||||
\(707\) | −22.0391 | + | 19.0970i | −0.828865 | + | 0.718216i | ||||
\(708\) | 8.68323 | + | 14.4852i | 0.326336 | + | 0.544389i | ||||
\(709\) | 16.2786 | − | 18.7865i | 0.611356 | − | 0.705543i | −0.362685 | − | 0.931912i | \(-0.618140\pi\) |
0.974042 | + | 0.226369i | \(0.0726855\pi\) | |||||||
\(710\) | 0.633786 | + | 11.3445i | 0.0237856 | + | 0.425751i | ||||
\(711\) | 0.712372 | + | 1.55988i | 0.0267160 | + | 0.0584999i | ||||
\(712\) | 13.7610 | − | 16.6947i | 0.515717 | − | 0.625659i | ||||
\(713\) | 11.6288 | − | 30.2831i | 0.435502 | − | 1.13411i | ||||
\(714\) | 5.05375 | − | 21.6044i | 0.189132 | − | 0.808526i | ||||
\(715\) | 0.996388 | + | 2.18179i | 0.0372628 | + | 0.0815942i | ||||
\(716\) | 19.4100 | + | 3.41145i | 0.725385 | + | 0.127492i | ||||
\(717\) | 9.69720 | + | 8.40268i | 0.362149 | + | 0.313804i | ||||
\(718\) | −30.0183 | − | 30.9693i | −1.12027 | − | 1.15576i | ||||
\(719\) | 23.4464 | − | 20.3164i | 0.874404 | − | 0.757675i | −0.0969557 | − | 0.995289i | \(-0.530911\pi\) |
0.971360 | + | 0.237613i | \(0.0763651\pi\) | |||||||
\(720\) | −11.9638 | + | 12.1821i | −0.445866 | + | 0.453999i | ||||
\(721\) | 28.9590 | + | 8.50314i | 1.07849 | + | 0.316674i | ||||
\(722\) | −25.2859 | + | 8.98464i | −0.941042 | + | 0.334374i | ||||
\(723\) | −1.13804 | − | 0.163625i | −0.0423242 | − | 0.00608530i | ||||
\(724\) | −14.2074 | + | 11.5553i | −0.528013 | + | 0.429449i | ||||
\(725\) | 43.7304 | + | 19.9710i | 1.62411 | + | 0.741705i | ||||
\(726\) | −5.58880 | + | 14.2993i | −0.207420 | + | 0.530695i | ||||
\(727\) | −16.7554 | + | 10.7680i | −0.621422 | + | 0.399364i | −0.813125 | − | 0.582089i | \(-0.802235\pi\) |
0.191703 | + | 0.981453i | \(0.438599\pi\) | |||||||
\(728\) | 7.16648 | − | 4.85907i | 0.265608 | − | 0.180089i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | 35.1232 | + | 66.7777i | 1.29997 | + | 2.47155i | ||||
\(731\) | 73.4576 | + | 47.2083i | 2.71693 | + | 1.74606i | ||||
\(732\) | 23.7400 | − | 9.95934i | 0.877455 | − | 0.368108i | ||||
\(733\) | −24.1043 | + | 7.07765i | −0.890311 | + | 0.261419i | −0.694732 | − | 0.719269i | \(-0.744477\pi\) |
−0.195579 | + | 0.980688i | \(0.562659\pi\) | |||||||
\(734\) | −3.07429 | − | 15.2751i | −0.113474 | − | 0.563813i | ||||
\(735\) | −11.6297 | −0.428967 | ||||||||
\(736\) | 21.4520 | + | 16.6075i | 0.790732 | + | 0.612162i | ||||
\(737\) | −0.0781958 | −0.00288038 | ||||||||
\(738\) | 2.46707 | + | 12.2580i | 0.0908141 | + | 0.451223i | ||||
\(739\) | −22.1826 | + | 6.51340i | −0.816001 | + | 0.239599i | −0.662993 | − | 0.748626i | \(-0.730714\pi\) |
−0.153008 | + | 0.988225i | \(0.548896\pi\) | |||||||
\(740\) | −22.4559 | + | 9.42066i | −0.825496 | + | 0.346310i | ||||
\(741\) | −0.197066 | − | 0.126647i | −0.00723941 | − | 0.00465248i | ||||
\(742\) | 6.15814 | + | 11.7081i | 0.226072 | + | 0.429819i | ||||
\(743\) | 2.21716 | + | 15.4207i | 0.0813397 | + | 0.565730i | 0.989213 | + | 0.146485i | \(0.0467961\pi\) |
−0.907873 | + | 0.419245i | \(0.862295\pi\) | |||||||
\(744\) | −15.8349 | + | 10.7365i | −0.580535 | + | 0.393619i | ||||
\(745\) | −38.1781 | + | 24.5356i | −1.39874 | + | 0.898913i | ||||
\(746\) | −17.8657 | + | 45.7104i | −0.654110 | + | 1.67358i | ||||
\(747\) | 12.4861 | + | 5.70221i | 0.456843 | + | 0.208633i | ||||
\(748\) | −4.46827 | + | 3.63418i | −0.163376 | + | 0.132879i | ||||
\(749\) | 3.65485 | + | 0.525488i | 0.133545 | + | 0.0192009i | ||||
\(750\) | −46.7638 | + | 16.6162i | −1.70757 | + | 0.606739i | ||||
\(751\) | −20.1669 | − | 5.92155i | −0.735902 | − | 0.216080i | −0.107758 | − | 0.994177i | \(-0.534367\pi\) |
−0.628144 | + | 0.778097i | \(0.716185\pi\) | |||||||
\(752\) | 12.4473 | + | 12.2243i | 0.453906 | + | 0.445775i | ||||
\(753\) | −9.67755 | + | 8.38565i | −0.352670 | + | 0.305590i | ||||
\(754\) | −5.29878 | − | 5.46663i | −0.192970 | − | 0.199083i | ||||
\(755\) | −55.6499 | − | 48.2210i | −2.02531 | − | 1.75494i | ||||
\(756\) | 4.07304 | + | 0.715868i | 0.148135 | + | 0.0260359i | ||||
\(757\) | 10.4473 | + | 22.8764i | 0.379713 | + | 0.831456i | 0.998931 | + | 0.0462362i | \(0.0147227\pi\) |
−0.619217 | + | 0.785220i | \(0.712550\pi\) | |||||||
\(758\) | 0.112798 | − | 0.482206i | 0.00409703 | − | 0.0175145i | ||||
\(759\) | 1.77481 | + | 0.404044i | 0.0644213 | + | 0.0146659i | ||||
\(760\) | −1.21509 | + | 1.47413i | −0.0440759 | + | 0.0534721i | ||||
\(761\) | −4.85748 | − | 10.6364i | −0.176083 | − | 0.385569i | 0.800926 | − | 0.598763i | \(-0.204341\pi\) |
−0.977010 | + | 0.213194i | \(0.931613\pi\) | |||||||
\(762\) | 0.615680 | + | 11.0204i | 0.0223037 | + | 0.399227i | ||||
\(763\) | −6.25973 | + | 7.22411i | −0.226617 | + | 0.261530i | ||||
\(764\) | 9.54636 | + | 15.9251i | 0.345375 | + | 0.576150i | ||||
\(765\) | 24.4774 | − | 21.2098i | 0.884983 | − | 0.766842i | ||||
\(766\) | 4.26214 | − | 48.8719i | 0.153997 | − | 1.76581i | ||||
\(767\) | 3.52207 | − | 11.9951i | 0.127175 | − | 0.433117i | ||||
\(768\) | −4.78446 | − | 15.2679i | −0.172644 | − | 0.550933i | ||||
\(769\) | 5.00864 | + | 0.720133i | 0.180616 | + | 0.0259687i | 0.232029 | − | 0.972709i | \(-0.425463\pi\) |
−0.0514133 | + | 0.998677i | \(0.516373\pi\) | |||||||
\(770\) | −3.74790 | − | 2.89790i | −0.135065 | − | 0.104433i | ||||
\(771\) | −3.20425 | + | 7.01633i | −0.115398 | + | 0.252687i | ||||
\(772\) | 2.78836 | − | 4.05499i | 0.100355 | − | 0.145942i | ||||
\(773\) | −24.2536 | + | 15.5869i | −0.872342 | + | 0.560620i | −0.898468 | − | 0.439038i | \(-0.855319\pi\) |
0.0261262 | + | 0.999659i | \(0.491683\pi\) | |||||||
\(774\) | −8.02157 | + | 14.1610i | −0.288329 | + | 0.509006i | ||||
\(775\) | −88.5171 | + | 12.7268i | −3.17963 | + | 0.457162i | ||||
\(776\) | 1.15812 | − | 0.0285281i | 0.0415740 | − | 0.00102410i | ||||
\(777\) | 4.96180 | + | 3.18876i | 0.178004 | + | 0.114396i | ||||
\(778\) | 34.4812 | − | 24.9831i | 1.23621 | − | 0.895688i | ||||
\(779\) | 0.394138 | + | 1.34231i | 0.0141215 | + | 0.0480932i | ||||
\(780\) | 12.6330 | + | 0.394038i | 0.452334 | + | 0.0141088i | ||||
\(781\) | −0.714363 | −0.0255619 | ||||||||
\(782\) | −38.0292 | − | 34.6704i | −1.35992 | − | 1.23981i | ||||
\(783\) | − | 3.63624i | − | 0.129949i | ||||||
\(784\) | 5.13613 | − | 9.61164i | 0.183433 | − | 0.343273i | ||||
\(785\) | 6.38380 | − | 1.87445i | 0.227848 | − | 0.0669021i | ||||
\(786\) | 2.24995 | − | 1.63018i | 0.0802529 | − | 0.0581466i | ||||
\(787\) | −17.2130 | + | 26.7840i | −0.613578 | + | 0.954746i | 0.385903 | + | 0.922539i | \(0.373890\pi\) |
−0.999481 | + | 0.0322066i | \(0.989747\pi\) | |||||||
\(788\) | 15.9317 | − | 4.14309i | 0.567542 | − | 0.147591i | ||||
\(789\) | −1.44397 | − | 10.0430i | −0.0514066 | − | 0.357541i | ||||
\(790\) | −9.00732 | − | 5.10225i | −0.320466 | − | 0.181530i | ||||
\(791\) | −6.97594 | − | 10.8548i | −0.248036 | − | 0.385951i | ||||
\(792\) | −0.722762 | − | 0.793743i | −0.0256822 | − | 0.0282044i | ||||
\(793\) | −17.3348 | − | 7.91656i | −0.615578 | − | 0.281125i | ||||
\(794\) | −20.1362 | − | 15.5694i | −0.714607 | − | 0.552539i | ||||
\(795\) | −2.74820 | + | 19.1142i | −0.0974688 | + | 0.677910i | ||||
\(796\) | −0.268667 | + | 0.0301134i | −0.00952266 | + | 0.00106734i | ||||
\(797\) | 1.78028 | + | 0.522738i | 0.0630609 | + | 0.0185163i | 0.313111 | − | 0.949717i | \(-0.398629\pi\) |
−0.250050 | + | 0.968233i | \(0.580447\pi\) | |||||||
\(798\) | 0.460945 | + | 0.0401992i | 0.0163173 | + | 0.00142304i | ||||
\(799\) | −21.6716 | − | 25.0103i | −0.766685 | − | 0.884801i | ||||
\(800\) | 11.1285 | − | 73.9569i | 0.393453 | − | 2.61477i | ||||
\(801\) | −5.78086 | − | 5.00914i | −0.204257 | − | 0.176989i | ||||
\(802\) | −0.920364 | − | 16.4741i | −0.0324992 | − | 0.581721i | ||||
\(803\) | −4.31509 | + | 1.97064i | −0.152276 | + | 0.0695422i | ||||
\(804\) | −0.182776 | + | 0.369299i | −0.00644601 | + | 0.0130242i | ||||
\(805\) | 20.6437 | − | 36.9546i | 0.727595 | − | 1.30248i | ||||
\(806\) | 13.7896 | + | 3.22569i | 0.485719 | + | 0.113620i | ||||
\(807\) | 2.98523 | − | 1.36331i | 0.105085 | − | 0.0479908i | ||||
\(808\) | 15.6724 | − | 36.6824i | 0.551352 | − | 1.29048i | ||||
\(809\) | 14.4026 | − | 16.6215i | 0.506370 | − | 0.584382i | −0.443795 | − | 0.896128i | \(-0.646368\pi\) |
0.950165 | + | 0.311746i | \(0.100914\pi\) | |||||||
\(810\) | 4.20154 | + | 4.33464i | 0.147627 | + | 0.152304i | ||||
\(811\) | 12.2980 | + | 14.1926i | 0.431841 | + | 0.498371i | 0.929408 | − | 0.369055i | \(-0.120319\pi\) |
−0.497567 | + | 0.867426i | \(0.665773\pi\) | |||||||
\(812\) | 14.2894 | + | 4.68434i | 0.501458 | + | 0.164388i | ||||
\(813\) | 5.45429 | − | 18.5756i | 0.191290 | − | 0.651475i | ||||
\(814\) | −0.512620 | − | 1.44269i | −0.0179673 | − | 0.0505662i | ||||
\(815\) | −4.05452 | + | 28.1998i | −0.142024 | + | 0.987796i | ||||
\(816\) | 6.71915 | + | 29.5971i | 0.235217 | + | 1.03610i | ||||
\(817\) | −0.756441 | + | 1.65637i | −0.0264645 | + | 0.0579492i | ||||
\(818\) | 1.44595 | − | 3.69954i | 0.0505565 | − | 0.129352i | ||||
\(819\) | −1.65503 | − | 2.57527i | −0.0578313 | − | 0.0899873i | ||||
\(820\) | −55.4767 | − | 51.1846i | −1.93733 | − | 1.78744i | ||||
\(821\) | −41.3050 | + | 5.93877i | −1.44156 | + | 0.207264i | −0.818317 | − | 0.574767i | \(-0.805093\pi\) |
−0.623239 | + | 0.782032i | \(0.714183\pi\) | |||||||
\(822\) | 0.795364 | − | 0.418339i | 0.0277415 | − | 0.0145912i | ||||
\(823\) | −19.0039 | + | 29.5706i | −0.662434 | + | 1.03077i | 0.333679 | + | 0.942687i | \(0.391710\pi\) |
−0.996113 | + | 0.0880807i | \(0.971927\pi\) | |||||||
\(824\) | −40.7077 | + | 6.88001i | −1.41812 | + | 0.239676i | ||||
\(825\) | −1.41371 | − | 4.81467i | −0.0492192 | − | 0.167625i | ||||
\(826\) | 4.87204 | + | 24.2074i | 0.169520 | + | 0.842283i | ||||
\(827\) | − | 29.3777i | − | 1.02156i | −0.859711 | − | 0.510781i | \(-0.829356\pi\) | ||
0.859711 | − | 0.510781i | \(-0.170644\pi\) | |||||||
\(828\) | 6.05665 | − | 7.43754i | 0.210483 | − | 0.258472i | ||||
\(829\) | − | 33.3959i | − | 1.15989i | −0.814656 | − | 0.579944i | \(-0.803074\pi\) | ||
0.814656 | − | 0.579944i | \(-0.196926\pi\) | |||||||
\(830\) | −81.2345 | + | 16.3494i | −2.81969 | + | 0.567497i | ||||
\(831\) | −2.02962 | − | 6.91225i | −0.0704068 | − | 0.239783i | ||||
\(832\) | −5.90490 | + | 10.2668i | −0.204716 | + | 0.355938i | ||||
\(833\) | −11.1761 | + | 17.3904i | −0.387230 | + | 0.602542i | ||||
\(834\) | 12.1436 | + | 23.0879i | 0.420497 | + | 0.799467i | ||||
\(835\) | 76.3393 | − | 10.9759i | 2.64183 | − | 0.379838i | ||||
\(836\) | −0.0882756 | − | 0.0814459i | −0.00305307 | − | 0.00281687i | ||||
\(837\) | 3.65690 | + | 5.69025i | 0.126401 | + | 0.196684i | ||||
\(838\) | −12.7610 | − | 4.98756i | −0.440820 | − | 0.172292i | ||||
\(839\) | −10.9794 | + | 24.0414i | −0.379049 | + | 0.830002i | 0.619922 | + | 0.784663i | \(0.287164\pi\) |
−0.998972 | + | 0.0453390i | \(0.985563\pi\) | |||||||
\(840\) | −22.4464 | + | 10.9268i | −0.774476 | + | 0.377010i | ||||
\(841\) | −2.24541 | + | 15.6172i | −0.0774279 | + | 0.538523i | ||||
\(842\) | −5.71189 | + | 2.02956i | −0.196845 | + | 0.0699434i | ||||
\(843\) | −0.671323 | + | 2.28632i | −0.0231216 | + | 0.0787449i | ||||
\(844\) | 8.35555 | − | 25.4882i | 0.287610 | − | 0.877341i | ||||
\(845\) | 30.2126 | + | 34.8672i | 1.03935 | + | 1.19947i | ||||
\(846\) | 4.42901 | − | 4.29302i | 0.152272 | − | 0.147597i | ||||
\(847\) | −14.6998 | + | 16.9645i | −0.505092 | + | 0.582907i | ||||
\(848\) | −14.5837 | − | 10.7129i | −0.500805 | − | 0.367883i | ||||
\(849\) | 5.05403 | − | 2.30810i | 0.173454 | − | 0.0792138i | ||||
\(850\) | −32.3135 | + | 138.138i | −1.10834 | + | 4.73810i | ||||
\(851\) | 12.0692 | − | 6.44000i | 0.413725 | − | 0.220760i | ||||
\(852\) | −1.66976 | + | 3.37376i | −0.0572050 | + | 0.115583i | ||||
\(853\) | −40.2960 | + | 18.4026i | −1.37971 | + | 0.630092i | −0.960623 | − | 0.277855i | \(-0.910377\pi\) |
−0.419086 | + | 0.907947i | \(0.637649\pi\) | |||||||
\(854\) | 37.5826 | − | 2.09964i | 1.28605 | − | 0.0718481i | ||||
\(855\) | 0.510445 | + | 0.442303i | 0.0174568 | + | 0.0151264i | ||||
\(856\) | −4.80972 | + | 1.54189i | −0.164393 | + | 0.0527008i | ||||
\(857\) | −30.7954 | − | 35.5398i | −1.05195 | − | 1.21402i | −0.976196 | − | 0.216891i | \(-0.930408\pi\) |
−0.0757567 | − | 0.997126i | \(-0.524137\pi\) | |||||||
\(858\) | −0.0690396 | + | 0.791643i | −0.00235697 | + | 0.0270263i | ||||
\(859\) | 1.99677 | + | 0.586304i | 0.0681288 | + | 0.0200044i | 0.315619 | − | 0.948886i | \(-0.397788\pi\) |
−0.247491 | + | 0.968890i | \(0.579606\pi\) | |||||||
\(860\) | −10.9436 | − | 97.6369i | −0.373173 | − | 3.32939i | ||||
\(861\) | −2.60179 | + | 18.0958i | −0.0886687 | + | 0.616705i | ||||
\(862\) | 11.9932 | − | 15.5110i | 0.408489 | − | 0.528305i | ||||
\(863\) | 42.9708 | + | 19.6241i | 1.46274 | + | 0.668012i | 0.978372 | − | 0.206852i | \(-0.0663218\pi\) |
0.484369 | + | 0.874864i | \(0.339049\pi\) | |||||||
\(864\) | −5.43804 | + | 1.55812i | −0.185006 | + | 0.0530083i | ||||
\(865\) | −32.2680 | − | 50.2100i | −1.09715 | − | 1.70719i | ||||
\(866\) | −7.73280 | + | 13.6512i | −0.262771 | + | 0.463886i | ||||
\(867\) | −5.77383 | − | 40.1579i | −0.196090 | − | 1.36383i | ||||
\(868\) | −27.0720 | + | 7.04017i | −0.918883 | + | 0.238959i | ||||
\(869\) | 0.351878 | − | 0.547533i | 0.0119366 | − | 0.0185738i | ||||
\(870\) | 12.8792 | + | 17.7756i | 0.436645 | + | 0.602650i | ||||
\(871\) | 0.292663 | − | 0.0859335i | 0.00991650 | − | 0.00291175i | ||||
\(872\) | 3.37371 | − | 12.6327i | 0.114248 | − | 0.427797i | ||||
\(873\) | − | 0.409581i | − | 0.0138622i | ||||||
\(874\) | 0.602784 | − | 0.887872i | 0.0203895 | − | 0.0300327i | ||||
\(875\) | −72.5619 | −2.45304 | ||||||||
\(876\) | −0.779321 | + | 24.9853i | −0.0263308 | + | 0.844174i | ||||
\(877\) | −4.85795 | − | 16.5447i | −0.164041 | − | 0.558674i | −0.999952 | − | 0.00980791i | \(-0.996878\pi\) |
0.835911 | − | 0.548866i | \(-0.184940\pi\) | |||||||
\(878\) | 10.8031 | + | 14.9102i | 0.364586 | + | 0.503195i | ||||
\(879\) | 23.5018 | + | 15.1037i | 0.792698 | + | 0.509436i | ||||
\(880\) | 6.34455 | + | 1.32023i | 0.213875 | + | 0.0445051i | ||||
\(881\) | −37.9323 | + | 5.45385i | −1.27797 | + | 0.183745i | −0.747674 | − | 0.664066i | \(-0.768829\pi\) |
−0.530299 | + | 0.847811i | \(0.677920\pi\) | |||||||
\(882\) | −3.35248 | − | 1.89903i | −0.112884 | − | 0.0639437i | ||||
\(883\) | −32.4796 | + | 20.8734i | −1.09303 | + | 0.702445i | −0.957530 | − | 0.288333i | \(-0.906899\pi\) |
−0.135496 | + | 0.990778i | \(0.543263\pi\) | |||||||
\(884\) | 12.7295 | − | 18.5120i | 0.428141 | − | 0.622627i | ||||
\(885\) | −14.9737 | + | 32.7878i | −0.503336 | + | 1.10215i | ||||
\(886\) | 19.6970 | − | 25.4745i | 0.661735 | − | 0.855832i | ||||
\(887\) | −20.6636 | − | 2.97097i | −0.693815 | − | 0.0997555i | −0.213619 | − | 0.976917i | \(-0.568525\pi\) |
−0.480196 | + | 0.877161i | \(0.659434\pi\) | |||||||
\(888\) | −8.01166 | − | 0.951182i | −0.268854 | − | 0.0319196i | ||||
\(889\) | −4.54665 | + | 15.4845i | −0.152490 | + | 0.519332i | ||||
\(890\) | 46.0014 | + | 4.01180i | 1.54197 | + | 0.134476i | ||||
\(891\) | −0.286838 | + | 0.248547i | −0.00960944 | + | 0.00832662i | ||||
\(892\) | −10.6248 | + | 6.36907i | −0.355744 | + | 0.213252i | ||||
\(893\) | 0.451932 | − | 0.521558i | 0.0151233 | − | 0.0174533i | ||||
\(894\) | −15.0120 | + | 0.838681i | −0.502077 | + | 0.0280497i | ||||
\(895\) | 17.4731 | + | 38.2608i | 0.584062 | + | 1.27892i | ||||
\(896\) | 0.882531 | − | 23.3771i | 0.0294833 | − | 0.780975i | ||||
\(897\) | −7.08657 | + | 0.438217i | −0.236614 | + | 0.0146316i | ||||
\(898\) | 13.2260 | + | 3.09386i | 0.441358 | + | 0.103243i | ||||
\(899\) | 10.2174 | + | 22.3729i | 0.340769 | + | 0.746179i | ||||
\(900\) | −26.0429 | − | 4.57724i | −0.868096 | − | 0.152575i | ||||
\(901\) | 25.9413 | + | 22.4782i | 0.864229 | + | 0.748859i | ||||
\(902\) | 3.40763 | − | 3.30300i | 0.113462 | − | 0.109978i | ||||
\(903\) | −17.9838 | + | 15.5831i | −0.598464 | + | 0.518572i | ||||
\(904\) | 15.0786 | + | 9.17375i | 0.501506 | + | 0.305114i | ||||
\(905\) | −37.5028 | − | 11.0118i | −1.24663 | − | 0.366045i | ||||
\(906\) | −8.16808 | − | 22.9878i | −0.271366 | − | 0.763718i | ||||
\(907\) | 31.1722 | + | 4.48188i | 1.03505 | + | 0.148818i | 0.638840 | − | 0.769340i | \(-0.279415\pi\) |
0.396214 | + | 0.918158i | \(0.370324\pi\) | |||||||
\(908\) | −8.34132 | − | 10.2557i | −0.276816 | − | 0.340349i | ||||
\(909\) | −12.8288 | − | 5.85872i | −0.425505 | − | 0.194321i | ||||
\(910\) | 17.2119 | + | 6.72718i | 0.570568 | + | 0.223004i | ||||
\(911\) | 42.9366 | − | 27.5937i | 1.42255 | − | 0.914219i | 0.422584 | − | 0.906324i | \(-0.361123\pi\) |
0.999969 | − | 0.00789526i | \(-0.00251317\pi\) | |||||||
\(912\) | −0.590985 | + | 0.226531i | −0.0195695 | + | 0.00750119i | ||||
\(913\) | −0.741430 | − | 5.15676i | −0.0245378 | − | 0.170664i | ||||
\(914\) | −44.2307 | + | 23.2641i | −1.46302 | + | 0.769507i | ||||
\(915\) | 46.2239 | + | 29.7063i | 1.52812 | + | 0.982060i | ||||
\(916\) | 7.83151 | − | 3.28546i | 0.258760 | − | 0.108555i | ||||
\(917\) | 3.89783 | − | 1.14451i | 0.128718 | − | 0.0377950i | ||||
\(918\) | 10.5195 | − | 2.11717i | 0.347194 | − | 0.0698771i | ||||
\(919\) | 55.3494 | 1.82581 | 0.912903 | − | 0.408176i | \(-0.133835\pi\) | ||||
0.912903 | + | 0.408176i | \(0.133835\pi\) | |||||||
\(920\) | −3.26467 | + | 57.8101i | −0.107633 | + | 1.90594i | ||||
\(921\) | 26.2779 | 0.865885 | ||||||||
\(922\) | 2.65089 | − | 0.533525i | 0.0873026 | − | 0.0175707i | ||||
\(923\) | 2.67364 | − | 0.785051i | 0.0880039 | − | 0.0258403i | ||||
\(924\) | −0.607200 | − | 1.44738i | −0.0199754 | − | 0.0476152i | ||||
\(925\) | −31.7256 | − | 20.3888i | −1.04313 | − | 0.670379i | ||||
\(926\) | 33.6741 | − | 17.7116i | 1.10660 | − | 0.582039i | ||||
\(927\) | 2.07729 | + | 14.4479i | 0.0682272 | + | 0.474531i | ||||
\(928\) | −20.3791 | + | 2.79389i | −0.668975 | + | 0.0917139i | ||||
\(929\) | −14.5980 | + | 9.38157i | −0.478945 | + | 0.307799i | −0.757746 | − | 0.652550i | \(-0.773699\pi\) |
0.278801 | + | 0.960349i | \(0.410063\pi\) | |||||||
\(930\) | −38.0309 | − | 14.8642i | −1.24708 | − | 0.487417i | ||||
\(931\) | −0.392131 | − | 0.179080i | −0.0128516 | − | 0.00586912i | ||||
\(932\) | −0.157753 | + | 0.128306i | −0.00516737 | + | 0.00420279i | ||||
\(933\) | −18.5506 | − | 2.66718i | −0.607321 | − | 0.0873195i | ||||
\(934\) | 16.6435 | + | 46.8407i | 0.544593 | + | 1.53267i | ||||
\(935\) | −11.7947 | − | 3.46325i | −0.385729 | − | 0.113260i | ||||
\(936\) | 3.57736 | + | 2.17645i | 0.116930 | + | 0.0711396i | ||||
\(937\) | −34.4588 | + | 29.8588i | −1.12572 | + | 0.975443i | −0.999862 | − | 0.0166052i | \(-0.994714\pi\) |
−0.125859 | + | 0.992048i | \(0.540169\pi\) | |||||||
\(938\) | −0.432600 | + | 0.419317i | −0.0141249 | + | 0.0136912i | ||||
\(939\) | 16.2658 | + | 14.0944i | 0.530814 | + | 0.459953i | ||||
\(940\) | −6.44562 | + | 36.6733i | −0.210233 | + | 1.19615i | ||||
\(941\) | −3.87080 | − | 8.47587i | −0.126185 | − | 0.276306i | 0.835987 | − | 0.548749i | \(-0.184896\pi\) |
−0.962172 | + | 0.272443i | \(0.912168\pi\) | |||||||
\(942\) | 2.14633 | + | 0.502075i | 0.0699314 | + | 0.0163585i | ||||
\(943\) | 33.6983 | + | 25.7369i | 1.09737 | + | 0.838109i | ||||
\(944\) | −20.4853 | − | 26.8558i | −0.666740 | − | 0.874082i | ||||
\(945\) | 3.66660 | + | 8.02874i | 0.119275 | + | 0.261175i | ||||
\(946\) | 6.16745 | − | 0.344559i | 0.200521 | − | 0.0112026i | ||||
\(947\) | 0.872097 | − | 1.00645i | 0.0283393 | − | 0.0327053i | −0.741403 | − | 0.671060i | \(-0.765839\pi\) |
0.769742 | + | 0.638355i | \(0.220385\pi\) | |||||||
\(948\) | −1.76338 | − | 2.94164i | −0.0572718 | − | 0.0955401i | ||||
\(949\) | 13.9844 | − | 12.1176i | 0.453953 | − | 0.393353i | ||||
\(950\) | −2.94727 | − | 0.257033i | −0.0956220 | − | 0.00833924i | ||||
\(951\) | 6.93378 | − | 23.6143i | 0.224843 | − | 0.765745i | ||||
\(952\) | −5.23170 | + | 44.0658i | −0.169560 | + | 1.42818i | ||||
\(953\) | 24.2745 | + | 3.49014i | 0.786327 | + | 0.113057i | 0.523770 | − | 0.851860i | \(-0.324525\pi\) |
0.262557 | + | 0.964916i | \(0.415434\pi\) | |||||||
\(954\) | −3.91341 | + | 5.06127i | −0.126701 | + | 0.163865i | ||||
\(955\) | −16.4621 | + | 36.0470i | −0.532702 | + | 1.16645i | ||||
\(956\) | −21.1456 | − | 14.5405i | −0.683898 | − | 0.470273i | ||||
\(957\) | −1.16102 | + | 0.746140i | −0.0375303 | + | 0.0241193i | ||||
\(958\) | −17.5127 | − | 9.92017i | −0.565810 | − | 0.320506i | ||||
\(959\) | 1.30058 | − | 0.186996i | 0.0419980 | − | 0.00603840i | ||||
\(960\) | 21.0649 | − | 26.8778i | 0.679868 | − | 0.867476i | ||||
\(961\) | −12.4101 | − | 7.97550i | −0.400327 | − | 0.257274i | ||||
\(962\) | 3.50403 | + | 4.83619i | 0.112974 | + | 0.155925i | ||||
\(963\) | 0.503100 | + | 1.71340i | 0.0162122 | + | 0.0552136i | ||||
\(964\) | 2.29837 | + | 0.0716889i | 0.0740254 | + | 0.00230894i | ||||
\(965\) | 10.5033 | 0.338112 | ||||||||
\(966\) | 11.9853 | − | 7.28193i | 0.385622 | − | 0.234292i | ||||
\(967\) | 24.9805i | 0.803319i | 0.915789 | + | 0.401659i | \(0.131566\pi\) | ||||
−0.915789 | + | 0.401659i | \(0.868434\pi\) | |||||||
\(968\) | 7.92254 | − | 29.6656i | 0.254640 | − | 0.953488i | ||||
\(969\) | 1.15193 | − | 0.338238i | 0.0370054 | − | 0.0108658i | ||||
\(970\) | 1.45069 | + | 2.00222i | 0.0465789 | + | 0.0642874i | ||||
\(971\) | −21.8724 | + | 34.0342i | −0.701919 | + | 1.09221i | 0.288945 | + | 0.957346i | \(0.406696\pi\) |
−0.990864 | + | 0.134862i | \(0.956941\pi\) | |||||||
\(972\) | 0.503365 | + | 1.93562i | 0.0161454 | + | 0.0620850i | ||||
\(973\) | 5.42812 | + | 37.7534i | 0.174018 | + | 1.21032i | ||||
\(974\) | −15.0224 | + | 26.5199i | −0.481348 | + | 0.849754i | ||||
\(975\) | 10.5822 | + | 16.4662i | 0.338901 | + | 0.527340i | ||||
\(976\) | −44.9658 | + | 25.0834i | −1.43932 | + | 0.802900i | ||||
\(977\) | 21.1720 | + | 9.66893i | 0.677352 | + | 0.309336i | 0.724224 | − | 0.689565i | \(-0.242198\pi\) |
−0.0468721 | + | 0.998901i | \(0.514925\pi\) | |||||||
\(978\) | −5.77359 | + | 7.46706i | −0.184619 | + | 0.238770i | ||||
\(979\) | −0.413165 | + | 2.87363i | −0.0132048 | + | 0.0918415i | ||||
\(980\) | 23.1146 | − | 2.59079i | 0.738370 | − | 0.0827597i | ||||
\(981\) | −4.43561 | − | 1.30241i | −0.141618 | − | 0.0415828i | ||||
\(982\) | −3.06194 | + | 35.1098i | −0.0977105 | + | 1.12040i | ||||
\(983\) | −39.3346 | − | 45.3946i | −1.25458 | − | 1.44786i | −0.844272 | − | 0.535915i | \(-0.819967\pi\) |
−0.410308 | − | 0.911947i | \(-0.634579\pi\) | |||||||
\(984\) | −7.63420 | − | 23.8138i | −0.243369 | − | 0.759157i | ||||
\(985\) | 26.5525 | + | 23.0079i | 0.846034 | + | 0.733092i | ||||
\(986\) | 38.9576 | − | 2.17646i | 1.24066 | − | 0.0693125i | ||||
\(987\) | 8.20353 | − | 3.74643i | 0.261121 | − | 0.119250i | ||||
\(988\) | 0.419893 | + | 0.207816i | 0.0133586 | + | 0.00661151i | ||||
\(989\) | 11.2113 | + | 54.0408i | 0.356500 | + | 1.71840i | ||||
\(990\) | 0.521871 | − | 2.23096i | 0.0165861 | − | 0.0709046i | ||||
\(991\) | 49.1610 | − | 22.4511i | 1.56165 | − | 0.713181i | 0.567722 | − | 0.823220i | \(-0.307825\pi\) |
0.993927 | + | 0.110039i | \(0.0350975\pi\) | |||||||
\(992\) | 29.0809 | − | 24.8670i | 0.923319 | − | 0.789526i | ||||
\(993\) | 5.58653 | − | 6.44720i | 0.177283 | − | 0.204596i | ||||
\(994\) | −3.95204 | + | 3.83070i | −0.125351 | + | 0.121502i | ||||
\(995\) | −0.377860 | − | 0.436074i | −0.0119790 | − | 0.0138245i | ||||
\(996\) | −26.0871 | − | 8.55188i | −0.826602 | − | 0.270977i | ||||
\(997\) | 10.0863 | − | 34.3509i | 0.319437 | − | 1.08790i | −0.630688 | − | 0.776036i | \(-0.717227\pi\) |
0.950126 | − | 0.311867i | \(-0.100955\pi\) | |||||||
\(998\) | 22.9112 | − | 8.14086i | 0.725241 | − | 0.257694i | ||||
\(999\) | −0.405945 | + | 2.82341i | −0.0128435 | + | 0.0893288i |
(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 | 552.2.t.a.19.10 | yes | 240 | |
8.3 | odd | 2 | inner | 552.2.t.a.19.8 | ✓ | 240 | |
23.17 | odd | 22 | inner | 552.2.t.a.523.8 | yes | 240 | |
184.155 | even | 22 | inner | 552.2.t.a.523.10 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.t.a.19.8 | ✓ | 240 | 8.3 | odd | 2 | inner | |
552.2.t.a.19.10 | yes | 240 | 1.1 | even | 1 | trivial | |
552.2.t.a.523.8 | yes | 240 | 23.17 | odd | 22 | inner | |
552.2.t.a.523.10 | yes | 240 | 184.155 | even | 22 | inner |