Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Character | \(\chi\) | \(=\) | 112.3 |
Dual form | 112.2.v.a.75.2 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25731 | − | 0.647437i | −0.889051 | − | 0.457807i | ||||
\(3\) | −3.08091 | + | 0.825526i | −1.77876 | + | 0.476618i | −0.990357 | − | 0.138539i | \(-0.955759\pi\) |
−0.788405 | + | 0.615156i | \(0.789093\pi\) | |||||||
\(4\) | 1.16165 | + | 1.62806i | 0.580825 | + | 0.814029i | ||||
\(5\) | 0.501060 | − | 1.86998i | 0.224081 | − | 0.836281i | −0.758690 | − | 0.651452i | \(-0.774160\pi\) |
0.982771 | − | 0.184829i | \(-0.0591731\pi\) | |||||||
\(6\) | 4.40813 | + | 0.956753i | 1.79961 | + | 0.390593i | ||||
\(7\) | 2.17953 | + | 1.49988i | 0.823785 | + | 0.566903i | ||||
\(8\) | −0.406487 | − | 2.79907i | −0.143715 | − | 0.989619i | ||||
\(9\) | 6.21241 | − | 3.58674i | 2.07080 | − | 1.19558i | ||||
\(10\) | −1.84068 | + | 2.02674i | −0.582075 | + | 0.640911i | ||||
\(11\) | 3.52366 | − | 0.944161i | 1.06242 | − | 0.284675i | 0.315046 | − | 0.949076i | \(-0.397980\pi\) |
0.747376 | + | 0.664401i | \(0.231313\pi\) | |||||||
\(12\) | −4.92294 | − | 4.05692i | −1.42113 | − | 1.17113i | ||||
\(13\) | −0.372046 | + | 0.372046i | −0.103187 | + | 0.103187i | −0.756816 | − | 0.653628i | \(-0.773246\pi\) |
0.653628 | + | 0.756816i | \(0.273246\pi\) | |||||||
\(14\) | −1.76926 | − | 3.29693i | −0.472855 | − | 0.881140i | ||||
\(15\) | 6.17487i | 1.59435i | ||||||||
\(16\) | −1.30114 | + | 3.78246i | −0.325285 | + | 0.945616i | ||||
\(17\) | 2.39966 | + | 1.38545i | 0.582003 | + | 0.336020i | 0.761929 | − | 0.647660i | \(-0.224252\pi\) |
−0.179926 | + | 0.983680i | \(0.557586\pi\) | |||||||
\(18\) | −10.1331 | + | 0.487488i | −2.38840 | + | 0.114902i | ||||
\(19\) | 0.431397 | − | 1.61000i | 0.0989693 | − | 0.369358i | −0.898622 | − | 0.438724i | \(-0.855431\pi\) |
0.997591 | + | 0.0693652i | \(0.0220974\pi\) | |||||||
\(20\) | 3.62649 | − | 1.35651i | 0.810908 | − | 0.303324i | ||||
\(21\) | −7.95312 | − | 2.82174i | −1.73551 | − | 0.615755i | ||||
\(22\) | −5.04161 | − | 1.09425i | −1.07487 | − | 0.233294i | ||||
\(23\) | −1.27273 | − | 2.20444i | −0.265383 | − | 0.459657i | 0.702281 | − | 0.711900i | \(-0.252165\pi\) |
−0.967664 | + | 0.252243i | \(0.918832\pi\) | |||||||
\(24\) | 3.56305 | + | 8.28809i | 0.727305 | + | 1.69180i | ||||
\(25\) | 1.08436 | + | 0.626056i | 0.216872 | + | 0.125211i | ||||
\(26\) | 0.708654 | − | 0.226900i | 0.138978 | − | 0.0444988i | ||||
\(27\) | −9.41278 | + | 9.41278i | −1.81149 | + | 1.81149i | ||||
\(28\) | 0.0899525 | + | 5.29074i | 0.0169994 | + | 0.999855i | ||||
\(29\) | 2.14013 | + | 2.14013i | 0.397413 | + | 0.397413i | 0.877319 | − | 0.479907i | \(-0.159330\pi\) |
−0.479907 | + | 0.877319i | \(0.659330\pi\) | |||||||
\(30\) | 3.99784 | − | 7.76372i | 0.729903 | − | 1.41745i | ||||
\(31\) | 2.74674 | − | 4.75749i | 0.493329 | − | 0.854471i | −0.506641 | − | 0.862157i | \(-0.669113\pi\) |
0.999970 | + | 0.00768582i | \(0.00244650\pi\) | |||||||
\(32\) | 4.08484 | − | 3.91332i | 0.722105 | − | 0.691783i | ||||
\(33\) | −10.0766 | + | 5.81774i | −1.75412 | + | 1.01274i | ||||
\(34\) | −2.12013 | − | 3.29556i | −0.363599 | − | 0.565184i | ||||
\(35\) | 3.89683 | − | 3.32415i | 0.658684 | − | 0.561883i | ||||
\(36\) | 13.0561 | + | 5.94763i | 2.17601 | + | 0.991272i | ||||
\(37\) | 4.53493 | + | 1.21513i | 0.745537 | + | 0.199766i | 0.611538 | − | 0.791215i | \(-0.290551\pi\) |
0.134000 | + | 0.990981i | \(0.457218\pi\) | |||||||
\(38\) | −1.58477 | + | 1.74496i | −0.257084 | + | 0.283070i | ||||
\(39\) | 0.839106 | − | 1.45337i | 0.134364 | − | 0.232726i | ||||
\(40\) | −5.43787 | − | 0.642376i | −0.859803 | − | 0.101569i | ||||
\(41\) | −3.95954 | −0.618376 | −0.309188 | − | 0.951001i | \(-0.600057\pi\) | ||||
−0.309188 | + | 0.951001i | \(0.600057\pi\) | |||||||
\(42\) | 8.17262 | + | 8.69695i | 1.26106 | + | 1.34197i | ||||
\(43\) | −4.29972 | − | 4.29972i | −0.655701 | − | 0.655701i | 0.298659 | − | 0.954360i | \(-0.403461\pi\) |
−0.954360 | + | 0.298659i | \(0.903461\pi\) | |||||||
\(44\) | 5.63040 | + | 4.63993i | 0.848815 | + | 0.699496i | ||||
\(45\) | −3.59434 | − | 13.4143i | −0.535813 | − | 1.99968i | ||||
\(46\) | 0.172982 | + | 3.59567i | 0.0255048 | + | 0.530153i | ||||
\(47\) | −1.85655 | − | 3.21563i | −0.270805 | − | 0.469048i | 0.698263 | − | 0.715841i | \(-0.253957\pi\) |
−0.969068 | + | 0.246793i | \(0.920623\pi\) | |||||||
\(48\) | 0.886167 | − | 12.7275i | 0.127907 | − | 1.83706i | ||||
\(49\) | 2.50070 | + | 6.53808i | 0.357242 | + | 0.934012i | ||||
\(50\) | −0.958045 | − | 1.48920i | −0.135488 | − | 0.210605i | ||||
\(51\) | −8.53685 | − | 2.28744i | −1.19540 | − | 0.320306i | ||||
\(52\) | −1.03790 | − | 0.173525i | −0.143931 | − | 0.0240636i | ||||
\(53\) | −1.74138 | − | 6.49892i | −0.239197 | − | 0.892696i | −0.976212 | − | 0.216819i | \(-0.930432\pi\) |
0.737015 | − | 0.675877i | \(-0.236235\pi\) | |||||||
\(54\) | 17.9289 | − | 5.74058i | 2.43982 | − | 0.781194i | ||||
\(55\) | − | 7.06225i | − | 0.952274i | ||||||
\(56\) | 3.31232 | − | 6.71033i | 0.442628 | − | 0.896705i | ||||
\(57\) | 5.31638i | 0.704171i | ||||||||
\(58\) | −1.30521 | − | 4.07641i | −0.171382 | − | 0.535259i | ||||
\(59\) | 2.20140 | + | 8.21574i | 0.286598 | + | 1.06960i | 0.947664 | + | 0.319270i | \(0.103438\pi\) |
−0.661066 | + | 0.750328i | \(0.729896\pi\) | |||||||
\(60\) | −10.0530 | + | 7.17304i | −1.29784 | + | 0.926035i | ||||
\(61\) | 0.378874 | + | 0.101519i | 0.0485098 | + | 0.0129982i | 0.282992 | − | 0.959122i | \(-0.408673\pi\) |
−0.234483 | + | 0.972120i | \(0.575340\pi\) | |||||||
\(62\) | −6.53368 | + | 4.20330i | −0.829778 | + | 0.533819i | ||||
\(63\) | 18.9198 | + | 1.50050i | 2.38367 | + | 0.189045i | ||||
\(64\) | −7.66954 | + | 2.27557i | −0.958692 | + | 0.284446i | ||||
\(65\) | 0.509302 | + | 0.882137i | 0.0631711 | + | 0.109416i | ||||
\(66\) | 16.4361 | − | 0.790713i | 2.02314 | − | 0.0973301i | ||||
\(67\) | 3.72389 | + | 13.8977i | 0.454946 | + | 1.69788i | 0.688248 | + | 0.725476i | \(0.258380\pi\) |
−0.233302 | + | 0.972404i | \(0.574953\pi\) | |||||||
\(68\) | 0.531982 | + | 5.51619i | 0.0645123 | + | 0.668936i | ||||
\(69\) | 5.74099 | + | 5.74099i | 0.691134 | + | 0.691134i | ||||
\(70\) | −7.05169 | + | 1.65652i | −0.842838 | + | 0.197993i | ||||
\(71\) | −8.98576 | −1.06641 | −0.533207 | − | 0.845985i | \(-0.679013\pi\) | ||||
−0.533207 | + | 0.845985i | \(0.679013\pi\) | |||||||
\(72\) | −12.5648 | − | 15.9310i | −1.48077 | − | 1.87749i | ||||
\(73\) | −0.766294 | + | 1.32726i | −0.0896879 | + | 0.155344i | −0.907379 | − | 0.420313i | \(-0.861920\pi\) |
0.817691 | + | 0.575657i | \(0.195254\pi\) | |||||||
\(74\) | −4.91508 | − | 4.46387i | −0.571367 | − | 0.518915i | ||||
\(75\) | −3.85764 | − | 1.03365i | −0.445442 | − | 0.119356i | ||||
\(76\) | 3.12230 | − | 1.16791i | 0.358152 | − | 0.133969i | ||||
\(77\) | 9.09605 | + | 3.22725i | 1.03659 | + | 0.367779i | ||||
\(78\) | −1.99598 | + | 1.28407i | −0.226001 | + | 0.145392i | ||||
\(79\) | −3.47070 | + | 2.00381i | −0.390484 | + | 0.225446i | −0.682370 | − | 0.731007i | \(-0.739051\pi\) |
0.291886 | + | 0.956453i | \(0.405717\pi\) | |||||||
\(80\) | 6.42118 | + | 4.32835i | 0.717910 | + | 0.483924i | ||||
\(81\) | 10.4692 | − | 18.1331i | 1.16324 | − | 2.01479i | ||||
\(82\) | 4.97836 | + | 2.56355i | 0.549768 | + | 0.283097i | ||||
\(83\) | 3.67570 | + | 3.67570i | 0.403460 | + | 0.403460i | 0.879451 | − | 0.475990i | \(-0.157910\pi\) |
−0.475990 | + | 0.879451i | \(0.657910\pi\) | |||||||
\(84\) | −4.64478 | − | 16.2260i | −0.506787 | − | 1.77040i | ||||
\(85\) | 3.79313 | − | 3.79313i | 0.411423 | − | 0.411423i | ||||
\(86\) | 2.62227 | + | 8.18987i | 0.282767 | + | 0.883136i | ||||
\(87\) | −8.36028 | − | 4.82681i | −0.896317 | − | 0.517489i | ||||
\(88\) | −4.07509 | − | 9.47916i | −0.434406 | − | 1.01048i | ||||
\(89\) | −3.35201 | − | 5.80586i | −0.355313 | − | 0.615420i | 0.631859 | − | 0.775084i | \(-0.282292\pi\) |
−0.987171 | + | 0.159664i | \(0.948959\pi\) | |||||||
\(90\) | −4.16570 | + | 19.1930i | −0.439103 | + | 2.02312i | ||||
\(91\) | −1.36891 | + | 0.252860i | −0.143501 | + | 0.0265069i | ||||
\(92\) | 2.11048 | − | 4.63286i | 0.220033 | − | 0.483009i | ||||
\(93\) | −4.53501 | + | 16.9249i | −0.470259 | + | 1.75503i | ||||
\(94\) | 0.252331 | + | 5.24504i | 0.0260259 | + | 0.540985i | ||||
\(95\) | −2.79451 | − | 1.61341i | −0.286710 | − | 0.165532i | ||||
\(96\) | −9.35447 | + | 15.4287i | −0.954737 | + | 1.57469i | ||||
\(97\) | 4.52980i | 0.459931i | 0.973199 | + | 0.229966i | \(0.0738613\pi\) | ||||
−0.973199 | + | 0.229966i | \(0.926139\pi\) | |||||||
\(98\) | 1.08885 | − | 9.83943i | 0.109991 | − | 0.993933i | ||||
\(99\) | 18.5040 | − | 18.5040i | 1.85972 | − | 1.85972i | ||||
\(100\) | 0.240393 | + | 2.49266i | 0.0240393 | + | 0.249266i | ||||
\(101\) | −13.0735 | + | 3.50302i | −1.30086 | + | 0.348564i | −0.841775 | − | 0.539829i | \(-0.818489\pi\) |
−0.459084 | + | 0.888393i | \(0.651822\pi\) | |||||||
\(102\) | 9.25248 | + | 8.40310i | 0.916132 | + | 0.832031i | ||||
\(103\) | 10.9548 | − | 6.32478i | 1.07941 | − | 0.623200i | 0.148675 | − | 0.988886i | \(-0.452499\pi\) |
0.930738 | + | 0.365687i | \(0.119166\pi\) | |||||||
\(104\) | 1.19261 | + | 0.890150i | 0.116945 | + | 0.0872864i | ||||
\(105\) | −9.26159 | + | 13.4583i | −0.903839 | + | 1.31340i | ||||
\(106\) | −2.01819 | + | 9.29859i | −0.196024 | + | 0.903158i | ||||
\(107\) | 0.934307 | − | 3.48688i | 0.0903229 | − | 0.337090i | −0.905946 | − | 0.423393i | \(-0.860839\pi\) |
0.996269 | + | 0.0863036i | \(0.0275055\pi\) | |||||||
\(108\) | −26.2589 | − | 4.39019i | −2.52676 | − | 0.422446i | ||||
\(109\) | −9.84896 | + | 2.63902i | −0.943360 | + | 0.252772i | −0.697542 | − | 0.716544i | \(-0.745723\pi\) |
−0.245817 | + | 0.969316i | \(0.579056\pi\) | |||||||
\(110\) | −4.57237 | + | 8.87943i | −0.435958 | + | 0.846620i | ||||
\(111\) | −14.9748 | −1.42135 | ||||||||
\(112\) | −8.50913 | + | 6.29243i | −0.804037 | + | 0.594579i | ||||
\(113\) | −18.4361 | −1.73432 | −0.867160 | − | 0.498030i | \(-0.834057\pi\) | ||||
−0.867160 | + | 0.498030i | \(0.834057\pi\) | |||||||
\(114\) | 3.44202 | − | 6.68433i | 0.322375 | − | 0.626045i | ||||
\(115\) | −4.75997 | + | 1.27543i | −0.443869 | + | 0.118934i | ||||
\(116\) | −0.998174 | + | 5.97034i | −0.0926781 | + | 0.554332i | ||||
\(117\) | −0.976873 | + | 3.64574i | −0.0903119 | + | 0.337049i | ||||
\(118\) | 2.55134 | − | 11.7550i | 0.234869 | − | 1.08213i | ||||
\(119\) | 3.15213 | + | 6.61883i | 0.288955 | + | 0.606747i | ||||
\(120\) | 17.2839 | − | 2.51000i | 1.57779 | − | 0.229131i | ||||
\(121\) | 1.99844 | − | 1.15380i | 0.181676 | − | 0.104891i | ||||
\(122\) | −0.410634 | − | 0.372938i | −0.0371771 | − | 0.0337642i | ||||
\(123\) | 12.1990 | − | 3.26871i | 1.09994 | − | 0.294729i | ||||
\(124\) | 10.9362 | − | 1.05469i | 0.982102 | − | 0.0947140i | ||||
\(125\) | 8.55865 | − | 8.55865i | 0.765509 | − | 0.765509i | ||||
\(126\) | −22.8166 | − | 14.1360i | −2.03266 | − | 1.25933i | ||||
\(127\) | − | 20.5841i | − | 1.82654i | −0.407350 | − | 0.913272i | \(-0.633547\pi\) | ||
0.407350 | − | 0.913272i | \(-0.366453\pi\) | |||||||
\(128\) | 11.1163 | + | 2.10445i | 0.982548 | + | 0.186009i | ||||
\(129\) | 16.7966 | + | 9.69749i | 1.47885 | + | 0.853817i | ||||
\(130\) | −0.0692213 | − | 1.43886i | −0.00607111 | − | 0.126196i | ||||
\(131\) | −4.12134 | + | 15.3810i | −0.360083 | + | 1.34385i | 0.513883 | + | 0.857860i | \(0.328207\pi\) |
−0.873966 | + | 0.485987i | \(0.838460\pi\) | |||||||
\(132\) | −21.1771 | − | 9.64715i | −1.84323 | − | 0.839676i | ||||
\(133\) | 3.35505 | − | 2.86199i | 0.290920 | − | 0.248166i | ||||
\(134\) | 4.31584 | − | 19.8847i | 0.372832 | − | 1.71778i | ||||
\(135\) | 12.8853 | + | 22.3181i | 1.10899 | + | 1.92083i | ||||
\(136\) | 2.90252 | − | 7.27998i | 0.248889 | − | 0.624253i | ||||
\(137\) | −1.13536 | − | 0.655503i | −0.0970008 | − | 0.0560034i | 0.450715 | − | 0.892668i | \(-0.351169\pi\) |
−0.547716 | + | 0.836665i | \(0.684502\pi\) | |||||||
\(138\) | −3.50126 | − | 10.9351i | −0.298047 | − | 0.930859i | ||||
\(139\) | 15.6775 | − | 15.6775i | 1.32975 | − | 1.32975i | 0.424169 | − | 0.905583i | \(-0.360566\pi\) |
0.905583 | − | 0.424169i | \(-0.139434\pi\) | |||||||
\(140\) | 9.93865 | + | 2.48277i | 0.839969 | + | 0.209832i | ||||
\(141\) | 8.37444 | + | 8.37444i | 0.705255 | + | 0.705255i | ||||
\(142\) | 11.2979 | + | 5.81771i | 0.948096 | + | 0.488212i | ||||
\(143\) | −0.959692 | + | 1.66224i | −0.0802535 | + | 0.139003i | ||||
\(144\) | 5.48349 | + | 28.1651i | 0.456957 | + | 2.34709i | ||||
\(145\) | 5.07434 | − | 2.92967i | 0.421401 | − | 0.243296i | ||||
\(146\) | 1.82279 | − | 1.17265i | 0.150855 | − | 0.0970490i | ||||
\(147\) | −13.1018 | − | 18.0788i | −1.08062 | − | 1.49112i | ||||
\(148\) | 3.28970 | + | 8.79468i | 0.270411 | + | 0.722918i | ||||
\(149\) | −12.1169 | − | 3.24672i | −0.992656 | − | 0.265981i | −0.274290 | − | 0.961647i | \(-0.588443\pi\) |
−0.718366 | + | 0.695666i | \(0.755109\pi\) | |||||||
\(150\) | 4.18102 | + | 3.79720i | 0.341379 | + | 0.310040i | ||||
\(151\) | 4.56845 | − | 7.91278i | 0.371775 | − | 0.643933i | −0.618064 | − | 0.786128i | \(-0.712083\pi\) |
0.989839 | + | 0.142195i | \(0.0454160\pi\) | |||||||
\(152\) | −4.68184 | − | 0.553067i | −0.379748 | − | 0.0448596i | ||||
\(153\) | 19.8769 | 1.60695 | ||||||||
\(154\) | −9.34709 | − | 9.94677i | −0.753210 | − | 0.801534i | ||||
\(155\) | −7.52014 | − | 7.52014i | −0.604032 | − | 0.604032i | ||||
\(156\) | 3.34092 | − | 0.322199i | 0.267488 | − | 0.0257966i | ||||
\(157\) | −3.42134 | − | 12.7686i | −0.273053 | − | 1.01905i | −0.957135 | − | 0.289642i | \(-0.906464\pi\) |
0.684083 | − | 0.729405i | \(-0.260203\pi\) | |||||||
\(158\) | 5.66108 | − | 0.272346i | 0.450372 | − | 0.0216667i | ||||
\(159\) | 10.7301 | + | 18.5850i | 0.850949 | + | 1.47389i | ||||
\(160\) | −5.27108 | − | 9.59938i | −0.416715 | − | 0.758898i | ||||
\(161\) | 0.532442 | − | 6.71358i | 0.0419623 | − | 0.529104i | ||||
\(162\) | −24.9031 | + | 16.0208i | −1.95657 | + | 1.25871i | ||||
\(163\) | 0.383258 | + | 0.102694i | 0.0300191 | + | 0.00804358i | 0.273797 | − | 0.961787i | \(-0.411720\pi\) |
−0.243778 | + | 0.969831i | \(0.578387\pi\) | |||||||
\(164\) | −4.59960 | − | 6.44636i | −0.359168 | − | 0.503376i | ||||
\(165\) | 5.83007 | + | 21.7581i | 0.453871 | + | 1.69387i | ||||
\(166\) | −2.24170 | − | 7.00127i | −0.173990 | − | 0.543404i | ||||
\(167\) | 23.6587i | 1.83076i | 0.402588 | + | 0.915381i | \(0.368111\pi\) | ||||
−0.402588 | + | 0.915381i | \(0.631889\pi\) | |||||||
\(168\) | −4.66541 | + | 23.4083i | −0.359944 | + | 1.80599i | ||||
\(169\) | 12.7232i | 0.978705i | ||||||||
\(170\) | −7.22495 | + | 2.31332i | −0.554128 | + | 0.177424i | ||||
\(171\) | −3.09462 | − | 11.5493i | −0.236651 | − | 0.883195i | ||||
\(172\) | 2.00542 | − | 11.9949i | 0.152912 | − | 0.914606i | ||||
\(173\) | 14.8537 | + | 3.98004i | 1.12931 | + | 0.302597i | 0.774644 | − | 0.632398i | \(-0.217929\pi\) |
0.354662 | + | 0.934994i | \(0.384596\pi\) | |||||||
\(174\) | 7.38640 | + | 11.4816i | 0.559961 | + | 0.870414i | ||||
\(175\) | 1.42439 | + | 2.99092i | 0.107673 | + | 0.226093i | ||||
\(176\) | −1.01352 | + | 14.5566i | −0.0763967 | + | 1.09724i | ||||
\(177\) | −13.5646 | − | 23.4946i | −1.01958 | − | 1.76596i | ||||
\(178\) | 0.455586 | + | 9.46997i | 0.0341476 | + | 0.709805i | ||||
\(179\) | −0.148935 | − | 0.555832i | −0.0111319 | − | 0.0415448i | 0.960136 | − | 0.279532i | \(-0.0901792\pi\) |
−0.971268 | + | 0.237987i | \(0.923513\pi\) | |||||||
\(180\) | 17.6638 | − | 21.4345i | 1.31658 | − | 1.59763i | ||||
\(181\) | −0.240422 | − | 0.240422i | −0.0178705 | − | 0.0178705i | 0.698115 | − | 0.715986i | \(-0.254022\pi\) |
−0.715986 | + | 0.698115i | \(0.754022\pi\) | |||||||
\(182\) | 1.88486 | + | 0.568362i | 0.139715 | + | 0.0421298i | ||||
\(183\) | −1.25108 | −0.0924826 | ||||||||
\(184\) | −5.65301 | + | 4.45853i | −0.416746 | + | 0.328687i | ||||
\(185\) | 4.54454 | − | 7.87137i | 0.334121 | − | 0.578715i | ||||
\(186\) | 16.6597 | − | 18.3437i | 1.22155 | − | 1.34502i | ||||
\(187\) | 9.76367 | + | 2.61617i | 0.713990 | + | 0.191313i | ||||
\(188\) | 3.07858 | − | 6.75801i | 0.224528 | − | 0.492878i | ||||
\(189\) | −34.6335 | + | 6.39735i | −2.51922 | + | 0.465339i | ||||
\(190\) | 2.46897 | + | 3.83782i | 0.179118 | + | 0.278425i | ||||
\(191\) | −4.57833 | + | 2.64330i | −0.331277 | + | 0.191263i | −0.656408 | − | 0.754406i | \(-0.727925\pi\) |
0.325131 | + | 0.945669i | \(0.394592\pi\) | |||||||
\(192\) | 21.7506 | − | 13.3422i | 1.56971 | − | 0.962891i | ||||
\(193\) | −8.43656 | + | 14.6125i | −0.607277 | + | 1.05183i | 0.384411 | + | 0.923162i | \(0.374405\pi\) |
−0.991687 | + | 0.128672i | \(0.958929\pi\) | |||||||
\(194\) | 2.93276 | − | 5.69535i | 0.210560 | − | 0.408902i | ||||
\(195\) | −2.29734 | − | 2.29734i | −0.164516 | − | 0.164516i | ||||
\(196\) | −7.73944 | + | 11.6662i | −0.552817 | + | 0.833303i | ||||
\(197\) | −1.81729 | + | 1.81729i | −0.129477 | + | 0.129477i | −0.768875 | − | 0.639399i | \(-0.779183\pi\) |
0.639399 | + | 0.768875i | \(0.279183\pi\) | |||||||
\(198\) | −35.2453 | + | 11.2850i | −2.50478 | + | 0.801992i | ||||
\(199\) | −0.631178 | − | 0.364411i | −0.0447430 | − | 0.0258324i | 0.477462 | − | 0.878653i | \(-0.341557\pi\) |
−0.522205 | + | 0.852820i | \(0.674890\pi\) | |||||||
\(200\) | 1.31159 | − | 3.28968i | 0.0927437 | − | 0.232616i | ||||
\(201\) | −22.9459 | − | 39.7435i | −1.61848 | − | 2.80329i | ||||
\(202\) | 18.7054 | + | 4.05987i | 1.31611 | + | 0.285651i | ||||
\(203\) | 1.45453 | + | 7.87443i | 0.102088 | + | 0.552677i | ||||
\(204\) | −6.19275 | − | 16.5557i | −0.433579 | − | 1.15913i | ||||
\(205\) | −1.98397 | + | 7.40426i | −0.138566 | + | 0.517136i | ||||
\(206\) | −17.8685 | + | 0.859627i | −1.24496 | + | 0.0598931i | ||||
\(207\) | −15.8135 | − | 9.12991i | −1.09911 | − | 0.634573i | ||||
\(208\) | −0.923167 | − | 1.89134i | −0.0640101 | − | 0.131141i | ||||
\(209\) | − | 6.08038i | − | 0.420589i | ||||||
\(210\) | 20.3581 | − | 10.9250i | 1.40484 | − | 0.753893i | ||||
\(211\) | −8.24367 | + | 8.24367i | −0.567518 | + | 0.567518i | −0.931432 | − | 0.363915i | \(-0.881440\pi\) |
0.363915 | + | 0.931432i | \(0.381440\pi\) | |||||||
\(212\) | 8.55774 | − | 10.3845i | 0.587748 | − | 0.713213i | ||||
\(213\) | 27.6843 | − | 7.41798i | 1.89690 | − | 0.508272i | ||||
\(214\) | −3.43225 | + | 3.77918i | −0.234624 | + | 0.258340i | ||||
\(215\) | −10.1948 | + | 5.88597i | −0.695280 | + | 0.401420i | ||||
\(216\) | 30.1732 | + | 22.5208i | 2.05302 | + | 1.53235i | ||||
\(217\) | 13.1223 | − | 6.24931i | 0.890799 | − | 0.424230i | ||||
\(218\) | 14.0918 | + | 3.05852i | 0.954416 | + | 0.207149i | ||||
\(219\) | 1.26519 | − | 4.72176i | 0.0854937 | − | 0.319067i | ||||
\(220\) | 11.4977 | − | 8.20386i | 0.775178 | − | 0.553104i | ||||
\(221\) | −1.40824 | + | 0.377335i | −0.0947281 | + | 0.0253823i | ||||
\(222\) | 18.8280 | + | 9.69525i | 1.26365 | + | 0.650703i | ||||
\(223\) | −28.3640 | −1.89940 | −0.949698 | − | 0.313166i | \(-0.898610\pi\) | ||||
−0.949698 | + | 0.313166i | \(0.898610\pi\) | |||||||
\(224\) | 14.7726 | − | 2.40240i | 0.987033 | − | 0.160517i | ||||
\(225\) | 8.98200 | 0.598800 | ||||||||
\(226\) | 23.1798 | + | 11.9362i | 1.54190 | + | 0.793984i | ||||
\(227\) | 6.25352 | − | 1.67563i | 0.415061 | − | 0.111215i | −0.0452445 | − | 0.998976i | \(-0.514407\pi\) |
0.460305 | + | 0.887761i | \(0.347740\pi\) | |||||||
\(228\) | −8.65537 | + | 6.17577i | −0.573216 | + | 0.409000i | ||||
\(229\) | 2.05973 | − | 7.68701i | 0.136111 | − | 0.507972i | −0.863880 | − | 0.503697i | \(-0.831973\pi\) |
0.999991 | − | 0.00427468i | \(-0.00136068\pi\) | |||||||
\(230\) | 6.81051 | + | 1.47817i | 0.449071 | + | 0.0974678i | ||||
\(231\) | −30.6882 | − | 2.43383i | −2.01914 | − | 0.160134i | ||||
\(232\) | 5.12044 | − | 6.86031i | 0.336173 | − | 0.450401i | ||||
\(233\) | 0.159304 | − | 0.0919739i | 0.0104363 | − | 0.00602541i | −0.494773 | − | 0.869022i | \(-0.664749\pi\) |
0.505209 | + | 0.862997i | \(0.331415\pi\) | |||||||
\(234\) | 3.58862 | − | 3.95135i | 0.234595 | − | 0.258308i | ||||
\(235\) | −6.94341 | + | 1.86048i | −0.452938 | + | 0.121364i | ||||
\(236\) | −10.8184 | + | 13.1278i | −0.704220 | + | 0.854548i | ||||
\(237\) | 9.03870 | − | 9.03870i | 0.587127 | − | 0.587127i | ||||
\(238\) | 0.322085 | − | 10.3627i | 0.0208777 | − | 0.671715i | ||||
\(239\) | 19.6670i | 1.27215i | 0.771626 | + | 0.636077i | \(0.219444\pi\) | ||||
−0.771626 | + | 0.636077i | \(0.780556\pi\) | |||||||
\(240\) | −23.3562 | − | 8.03437i | −1.50764 | − | 0.518617i | ||||
\(241\) | −3.10397 | − | 1.79208i | −0.199944 | − | 0.115438i | 0.396685 | − | 0.917955i | \(-0.370160\pi\) |
−0.596630 | + | 0.802517i | \(0.703494\pi\) | |||||||
\(242\) | −3.25967 | + | 0.156818i | −0.209540 | + | 0.0100806i | ||||
\(243\) | −6.94921 | + | 25.9348i | −0.445792 | + | 1.66372i | ||||
\(244\) | 0.274840 | + | 0.734758i | 0.0175948 | + | 0.0470381i | ||||
\(245\) | 13.4791 | − | 1.40028i | 0.861147 | − | 0.0894608i | ||||
\(246\) | −17.4542 | − | 3.78830i | −1.11284 | − | 0.241533i | ||||
\(247\) | 0.438493 | + | 0.759493i | 0.0279007 | + | 0.0483254i | ||||
\(248\) | −14.4331 | − | 5.75445i | −0.916500 | − | 0.365408i | ||||
\(249\) | −14.3589 | − | 8.29010i | −0.909957 | − | 0.525364i | ||||
\(250\) | −16.3020 | + | 5.21967i | −1.03103 | + | 0.330121i | ||||
\(251\) | −11.1881 | + | 11.1881i | −0.706184 | + | 0.706184i | −0.965731 | − | 0.259547i | \(-0.916427\pi\) |
0.259547 | + | 0.965731i | \(0.416427\pi\) | |||||||
\(252\) | 19.5353 | + | 32.5456i | 1.23061 | + | 2.05018i | ||||
\(253\) | −6.56601 | − | 6.56601i | −0.412802 | − | 0.412802i | ||||
\(254\) | −13.3269 | + | 25.8806i | −0.836205 | + | 1.62389i | ||||
\(255\) | −8.55495 | + | 14.8176i | −0.535732 | + | 0.927914i | ||||
\(256\) | −12.6141 | − | 9.84303i | −0.788379 | − | 0.615190i | ||||
\(257\) | 7.97191 | − | 4.60259i | 0.497274 | − | 0.287101i | −0.230313 | − | 0.973117i | \(-0.573975\pi\) |
0.727587 | + | 0.686015i | \(0.240642\pi\) | |||||||
\(258\) | −14.8399 | − | 23.0675i | −0.923894 | − | 1.43612i | ||||
\(259\) | 8.06145 | + | 9.45028i | 0.500914 | + | 0.587212i | ||||
\(260\) | −0.844539 | + | 1.85391i | −0.0523761 | + | 0.114974i | ||||
\(261\) | 20.9715 | + | 5.61929i | 1.29810 | + | 0.347825i | ||||
\(262\) | 15.1401 | − | 16.6704i | 0.935355 | − | 1.02990i | ||||
\(263\) | 1.54283 | − | 2.67226i | 0.0951349 | − | 0.164778i | −0.814530 | − | 0.580121i | \(-0.803005\pi\) |
0.909665 | + | 0.415343i | \(0.136338\pi\) | |||||||
\(264\) | 20.3803 | + | 25.8403i | 1.25432 | + | 1.59036i | ||||
\(265\) | −13.0254 | −0.800143 | ||||||||
\(266\) | −6.07129 | + | 1.42622i | −0.372255 | + | 0.0874470i | ||||
\(267\) | 15.1201 | + | 15.1201i | 0.925337 | + | 0.925337i | ||||
\(268\) | −18.3005 | + | 22.2070i | −1.11788 | + | 1.35651i | ||||
\(269\) | −6.25670 | − | 23.3503i | −0.381478 | − | 1.42369i | −0.843645 | − | 0.536902i | \(-0.819595\pi\) |
0.462167 | − | 0.886793i | \(-0.347072\pi\) | |||||||
\(270\) | −1.75130 | − | 36.4032i | −0.106581 | − | 2.21543i | ||||
\(271\) | −5.80261 | − | 10.0504i | −0.352484 | − | 0.610520i | 0.634200 | − | 0.773169i | \(-0.281329\pi\) |
−0.986684 | + | 0.162649i | \(0.947996\pi\) | |||||||
\(272\) | −8.36269 | + | 7.27398i | −0.507063 | + | 0.441050i | ||||
\(273\) | 4.00875 | − | 1.90911i | 0.242620 | − | 0.115545i | ||||
\(274\) | 1.00311 | + | 1.55925i | 0.0605999 | + | 0.0941976i | ||||
\(275\) | 4.41202 | + | 1.18220i | 0.266055 | + | 0.0712891i | ||||
\(276\) | −2.67764 | + | 16.0157i | −0.161175 | + | 0.964030i | ||||
\(277\) | 1.72208 | + | 6.42687i | 0.103469 | + | 0.386153i | 0.998167 | − | 0.0605191i | \(-0.0192756\pi\) |
−0.894698 | + | 0.446672i | \(0.852609\pi\) | |||||||
\(278\) | −29.8617 | + | 9.56128i | −1.79099 | + | 0.573448i | ||||
\(279\) | − | 39.4074i | − | 2.35926i | ||||||
\(280\) | −10.8885 | − | 9.55626i | −0.650713 | − | 0.571095i | ||||
\(281\) | 16.2605i | 0.970022i | 0.874508 | + | 0.485011i | \(0.161184\pi\) | ||||
−0.874508 | + | 0.485011i | \(0.838816\pi\) | |||||||
\(282\) | −5.10733 | − | 15.9512i | −0.304137 | − | 0.949879i | ||||
\(283\) | 6.20636 | + | 23.1624i | 0.368930 | + | 1.37686i | 0.862015 | + | 0.506883i | \(0.169202\pi\) |
−0.493085 | + | 0.869981i | \(0.664131\pi\) | |||||||
\(284\) | −10.4383 | − | 14.6293i | −0.619399 | − | 0.868091i | ||||
\(285\) | 9.94152 | + | 2.66382i | 0.588885 | + | 0.157791i | ||||
\(286\) | 2.28282 | − | 1.46860i | 0.134986 | − | 0.0868403i | ||||
\(287\) | −8.62993 | − | 5.93885i | −0.509409 | − | 0.350559i | ||||
\(288\) | 11.3407 | − | 38.9624i | 0.668257 | − | 2.29588i | ||||
\(289\) | −4.66108 | − | 8.07323i | −0.274181 | − | 0.474896i | ||||
\(290\) | −8.27679 | + | 0.398184i | −0.486030 | + | 0.0233822i | ||||
\(291\) | −3.73947 | − | 13.9559i | −0.219211 | − | 0.818108i | ||||
\(292\) | −3.05102 | + | 0.294241i | −0.178547 | + | 0.0172191i | ||||
\(293\) | 15.5002 | + | 15.5002i | 0.905534 | + | 0.905534i | 0.995908 | − | 0.0903743i | \(-0.0288063\pi\) |
−0.0903743 | + | 0.995908i | \(0.528806\pi\) | |||||||
\(294\) | 4.76806 | + | 31.2132i | 0.278079 | + | 1.82039i | ||||
\(295\) | 16.4663 | 0.958705 | ||||||||
\(296\) | 1.55784 | − | 13.1875i | 0.0905476 | − | 0.766507i | ||||
\(297\) | −24.2802 | + | 42.0546i | −1.40888 | + | 2.44025i | ||||
\(298\) | 13.1326 | + | 11.9271i | 0.760754 | + | 0.690916i | ||||
\(299\) | 1.29367 | + | 0.346637i | 0.0748147 | + | 0.0200465i | ||||
\(300\) | −2.79838 | − | 7.48120i | −0.161565 | − | 0.431927i | ||||
\(301\) | −2.92228 | − | 15.8204i | −0.168438 | − | 0.911875i | ||||
\(302\) | −10.8670 | + | 6.99103i | −0.625324 | + | 0.402288i | ||||
\(303\) | 37.3863 | − | 21.5850i | 2.14779 | − | 1.24002i | ||||
\(304\) | 5.52844 | + | 3.72658i | 0.317078 | + | 0.213734i | ||||
\(305\) | 0.379677 | − | 0.657620i | 0.0217402 | − | 0.0376552i | ||||
\(306\) | −24.9914 | − | 12.8691i | −1.42866 | − | 0.735675i | ||||
\(307\) | −8.30421 | − | 8.30421i | −0.473946 | − | 0.473946i | 0.429243 | − | 0.903189i | \(-0.358780\pi\) |
−0.903189 | + | 0.429243i | \(0.858780\pi\) | |||||||
\(308\) | 5.31227 | + | 18.5578i | 0.302695 | + | 1.05743i | ||||
\(309\) | −28.5296 | + | 28.5296i | −1.62299 | + | 1.62299i | ||||
\(310\) | 4.58632 | + | 14.3240i | 0.260485 | + | 0.813546i | ||||
\(311\) | 7.66004 | + | 4.42252i | 0.434361 | + | 0.250778i | 0.701203 | − | 0.712962i | \(-0.252647\pi\) |
−0.266842 | + | 0.963740i | \(0.585980\pi\) | |||||||
\(312\) | −4.40917 | − | 1.75793i | −0.249620 | − | 0.0995235i | ||||
\(313\) | 12.5112 | + | 21.6700i | 0.707174 | + | 1.22486i | 0.965901 | + | 0.258911i | \(0.0833637\pi\) |
−0.258727 | + | 0.965951i | \(0.583303\pi\) | |||||||
\(314\) | −3.96520 | + | 18.2692i | −0.223769 | + | 1.03099i | ||||
\(315\) | 12.2859 | − | 34.6279i | 0.692230 | − | 1.95106i | ||||
\(316\) | −7.29405 | − | 3.32277i | −0.410323 | − | 0.186921i | ||||
\(317\) | 0.827705 | − | 3.08904i | 0.0464885 | − | 0.173498i | −0.938778 | − | 0.344522i | \(-0.888041\pi\) |
0.985267 | + | 0.171024i | \(0.0547077\pi\) | |||||||
\(318\) | −1.45837 | − | 30.3141i | −0.0817811 | − | 1.69993i | ||||
\(319\) | 9.56172 | + | 5.52046i | 0.535354 | + | 0.309087i | ||||
\(320\) | 0.412370 | + | 15.4821i | 0.0230522 | + | 0.865474i | ||||
\(321\) | 11.5141i | 0.642652i | ||||||||
\(322\) | −5.01607 | + | 8.09632i | −0.279535 | + | 0.451190i | ||||
\(323\) | 3.26577 | − | 3.26577i | 0.181712 | − | 0.181712i | ||||
\(324\) | 41.6833 | − | 4.01994i | 2.31574 | − | 0.223330i | ||||
\(325\) | −0.636355 | + | 0.170511i | −0.0352986 | + | 0.00945823i | ||||
\(326\) | −0.415385 | − | 0.377253i | −0.0230061 | − | 0.0208941i | ||||
\(327\) | 28.1652 | − | 16.2612i | 1.55754 | − | 0.899244i | ||||
\(328\) | 1.60950 | + | 11.0830i | 0.0888699 | + | 0.611957i | ||||
\(329\) | 0.776679 | − | 9.79317i | 0.0428197 | − | 0.539915i | ||||
\(330\) | 6.75683 | − | 31.1313i | 0.371951 | − | 1.71372i | ||||
\(331\) | −3.55043 | + | 13.2504i | −0.195149 | + | 0.728306i | 0.797079 | + | 0.603875i | \(0.206377\pi\) |
−0.992228 | + | 0.124431i | \(0.960289\pi\) | |||||||
\(332\) | −1.71437 | + | 10.2541i | −0.0940885 | + | 0.562768i | ||||
\(333\) | 32.5312 | − | 8.71671i | 1.78270 | − | 0.477673i | ||||
\(334\) | 15.3175 | − | 29.7462i | 0.838137 | − | 1.62764i | ||||
\(335\) | 27.8544 | 1.52185 | ||||||||
\(336\) | 21.0213 | − | 26.4109i | 1.14680 | − | 1.44083i | ||||
\(337\) | 30.3580 | 1.65371 | 0.826854 | − | 0.562417i | \(-0.190128\pi\) | ||||
0.826854 | + | 0.562417i | \(0.190128\pi\) | |||||||
\(338\) | 8.23745 | − | 15.9969i | 0.448058 | − | 0.870119i | ||||
\(339\) | 56.7998 | − | 15.2195i | 3.08494 | − | 0.826608i | ||||
\(340\) | 10.5817 | + | 1.76914i | 0.573874 | + | 0.0959453i | ||||
\(341\) | 5.18673 | − | 19.3571i | 0.280877 | − | 1.04825i | ||||
\(342\) | −3.58654 | + | 16.5246i | −0.193938 | + | 0.893546i | ||||
\(343\) | −4.35602 | + | 18.0007i | −0.235203 | + | 0.971946i | ||||
\(344\) | −10.2874 | + | 13.7830i | −0.554660 | + | 0.743128i | ||||
\(345\) | 13.6121 | − | 7.85895i | 0.732851 | − | 0.423112i | ||||
\(346\) | −16.0989 | − | 14.6210i | −0.865480 | − | 0.786029i | ||||
\(347\) | −13.0551 | + | 3.49811i | −0.700836 | + | 0.187788i | −0.591605 | − | 0.806228i | \(-0.701506\pi\) |
−0.109231 | + | 0.994016i | \(0.534839\pi\) | |||||||
\(348\) | −1.85339 | − | 19.2181i | −0.0993524 | − | 1.03020i | ||||
\(349\) | −12.6593 | + | 12.6593i | −0.677639 | + | 0.677639i | −0.959465 | − | 0.281826i | \(-0.909060\pi\) |
0.281826 | + | 0.959465i | \(0.409060\pi\) | |||||||
\(350\) | 0.145544 | − | 4.68272i | 0.00777967 | − | 0.250302i | ||||
\(351\) | − | 7.00398i | − | 0.373845i | ||||||
\(352\) | 10.6988 | − | 17.6459i | 0.570247 | − | 0.940532i | ||||
\(353\) | −26.7828 | − | 15.4631i | −1.42550 | − | 0.823016i | −0.428743 | − | 0.903426i | \(-0.641043\pi\) |
−0.996762 | + | 0.0804108i | \(0.974377\pi\) | |||||||
\(354\) | 1.84362 | + | 38.3222i | 0.0979874 | + | 2.03680i | ||||
\(355\) | −4.50240 | + | 16.8032i | −0.238963 | + | 0.891821i | ||||
\(356\) | 5.55840 | − | 12.2016i | 0.294595 | − | 0.646686i | ||||
\(357\) | −15.1754 | − | 17.7898i | −0.803169 | − | 0.941538i | ||||
\(358\) | −0.172609 | + | 0.795278i | −0.00912269 | + | 0.0420317i | ||||
\(359\) | −9.22928 | − | 15.9856i | −0.487103 | − | 0.843687i | 0.512787 | − | 0.858516i | \(-0.328613\pi\) |
−0.999890 | + | 0.0148287i | \(0.995280\pi\) | |||||||
\(360\) | −36.0863 | + | 15.5135i | −1.90192 | + | 0.817634i | ||||
\(361\) | 14.0485 | + | 8.11090i | 0.739395 | + | 0.426890i | ||||
\(362\) | 0.146627 | + | 0.457944i | 0.00770653 | + | 0.0240690i | ||||
\(363\) | −5.20452 | + | 5.20452i | −0.273166 | + | 0.273166i | ||||
\(364\) | −2.00187 | − | 1.93493i | −0.104926 | − | 0.101418i | ||||
\(365\) | 2.09799 | + | 2.09799i | 0.109814 | + | 0.109814i | ||||
\(366\) | 1.57300 | + | 0.809997i | 0.0822218 | + | 0.0423392i | ||||
\(367\) | −8.10460 | + | 14.0376i | −0.423057 | + | 0.732756i | −0.996237 | − | 0.0866738i | \(-0.972376\pi\) |
0.573180 | + | 0.819429i | \(0.305710\pi\) | |||||||
\(368\) | 9.99420 | − | 1.94578i | 0.520984 | − | 0.101431i | ||||
\(369\) | −24.5983 | + | 14.2018i | −1.28054 | + | 0.739318i | ||||
\(370\) | −10.8101 | + | 6.95444i | −0.561991 | + | 0.361544i | ||||
\(371\) | 5.95224 | − | 16.7765i | 0.309025 | − | 0.870990i | ||||
\(372\) | −32.8228 | + | 12.2775i | −1.70178 | + | 0.636561i | ||||
\(373\) | −34.7801 | − | 9.31929i | −1.80084 | − | 0.482534i | −0.806734 | − | 0.590915i | \(-0.798767\pi\) |
−0.994109 | + | 0.108381i | \(0.965433\pi\) | |||||||
\(374\) | −10.5821 | − | 9.61069i | −0.547189 | − | 0.496957i | ||||
\(375\) | −19.3030 | + | 33.4338i | −0.996803 | + | 1.72651i | ||||
\(376\) | −8.24611 | + | 6.50371i | −0.425261 | + | 0.335403i | ||||
\(377\) | −1.59246 | −0.0820157 | ||||||||
\(378\) | 47.6869 | + | 14.3796i | 2.45275 | + | 0.739606i | ||||
\(379\) | −18.9916 | − | 18.9916i | −0.975531 | − | 0.975531i | 0.0241768 | − | 0.999708i | \(-0.492304\pi\) |
−0.999708 | + | 0.0241768i | \(0.992304\pi\) | |||||||
\(380\) | −0.619515 | − | 6.42383i | −0.0317805 | − | 0.329536i | ||||
\(381\) | 16.9927 | + | 63.4177i | 0.870564 | + | 3.24899i | ||||
\(382\) | 7.46775 | − | 0.359262i | 0.382083 | − | 0.0183814i | ||||
\(383\) | −11.8784 | − | 20.5740i | −0.606957 | − | 1.05128i | −0.991739 | − | 0.128273i | \(-0.959057\pi\) |
0.384782 | − | 0.923007i | \(-0.374277\pi\) | |||||||
\(384\) | −35.9854 | + | 2.69314i | −1.83637 | + | 0.137434i | ||||
\(385\) | 10.5926 | − | 15.3924i | 0.539847 | − | 0.784468i | ||||
\(386\) | 20.0681 | − | 12.9103i | 1.02144 | − | 0.657119i | ||||
\(387\) | −42.1336 | − | 11.2897i | −2.14177 | − | 0.573886i | ||||
\(388\) | −7.37477 | + | 5.26204i | −0.374397 | + | 0.267139i | ||||
\(389\) | −3.49731 | − | 13.0521i | −0.177321 | − | 0.661770i | −0.996145 | − | 0.0877254i | \(-0.972040\pi\) |
0.818824 | − | 0.574045i | \(-0.194626\pi\) | |||||||
\(390\) | 1.40108 | + | 4.37585i | 0.0709465 | + | 0.221580i | ||||
\(391\) | − | 7.05320i | − | 0.356696i | ||||||
\(392\) | 17.2840 | − | 9.65726i | 0.872975 | − | 0.487765i | ||||
\(393\) | − | 50.7898i | − | 2.56201i | ||||||
\(394\) | 3.46147 | − | 1.10831i | 0.174387 | − | 0.0558360i | ||||
\(395\) | 2.00806 | + | 7.49417i | 0.101036 | + | 0.377073i | ||||
\(396\) | 51.6206 | + | 8.63038i | 2.59403 | + | 0.433693i | ||||
\(397\) | −4.46180 | − | 1.19554i | −0.223931 | − | 0.0600022i | 0.145109 | − | 0.989416i | \(-0.453647\pi\) |
−0.369040 | + | 0.929413i | \(0.620313\pi\) | |||||||
\(398\) | 0.557652 | + | 0.866825i | 0.0279526 | + | 0.0434500i | ||||
\(399\) | −7.97395 | + | 11.5872i | −0.399197 | + | 0.580086i | ||||
\(400\) | −3.77894 | + | 3.28697i | −0.188947 | + | 0.164349i | ||||
\(401\) | 11.1566 | + | 19.3238i | 0.557135 | + | 0.964986i | 0.997734 | + | 0.0672821i | \(0.0214327\pi\) |
−0.440599 | + | 0.897704i | \(0.645234\pi\) | |||||||
\(402\) | 3.11867 | + | 64.8259i | 0.155545 | + | 3.23322i | ||||
\(403\) | 0.748093 | + | 2.79192i | 0.0372652 | + | 0.139076i | ||||
\(404\) | −20.8899 | − | 17.2151i | −1.03931 | − | 0.856481i | ||||
\(405\) | −28.6629 | − | 28.6629i | −1.42427 | − | 1.42427i | ||||
\(406\) | 3.26941 | − | 10.8423i | 0.162258 | − | 0.538095i | ||||
\(407\) | 17.1268 | 0.848944 | ||||||||
\(408\) | −2.93258 | + | 24.8250i | −0.145185 | + | 1.22902i | ||||
\(409\) | 2.83340 | − | 4.90759i | 0.140102 | − | 0.242665i | −0.787433 | − | 0.616401i | \(-0.788590\pi\) |
0.927535 | + | 0.373736i | \(0.121923\pi\) | |||||||
\(410\) | 7.28825 | − | 8.02495i | 0.359941 | − | 0.396324i | ||||
\(411\) | 4.03909 | + | 1.08227i | 0.199234 | + | 0.0533845i | ||||
\(412\) | 23.0228 | + | 10.4879i | 1.13425 | + | 0.516703i | ||||
\(413\) | −7.52464 | + | 21.2083i | −0.370263 | + | 1.04359i | ||||
\(414\) | 13.9714 | + | 21.7173i | 0.686655 | + | 1.06735i | ||||
\(415\) | 8.71523 | − | 5.03174i | 0.427814 | − | 0.246998i | ||||
\(416\) | −0.0638156 | + | 2.97569i | −0.00312882 | + | 0.145895i | ||||
\(417\) | −35.3588 | + | 61.2433i | −1.73153 | + | 2.99910i | ||||
\(418\) | −3.93667 | + | 7.64492i | −0.192549 | + | 0.373925i | ||||
\(419\) | −2.67538 | − | 2.67538i | −0.130701 | − | 0.130701i | 0.638730 | − | 0.769431i | \(-0.279460\pi\) |
−0.769431 | + | 0.638730i | \(0.779460\pi\) | |||||||
\(420\) | −32.6696 | + | 0.555445i | −1.59411 | + | 0.0271030i | ||||
\(421\) | 17.2159 | − | 17.2159i | 0.839052 | − | 0.839052i | −0.149682 | − | 0.988734i | \(-0.547825\pi\) |
0.988734 | + | 0.149682i | \(0.0478251\pi\) | |||||||
\(422\) | 15.7021 | − | 5.02758i | 0.764366 | − | 0.244739i | ||||
\(423\) | −23.0673 | − | 13.3179i | −1.12157 | − | 0.647538i | ||||
\(424\) | −17.4831 | + | 7.51597i | −0.849052 | + | 0.365008i | ||||
\(425\) | 1.73473 | + | 3.00465i | 0.0841470 | + | 0.145747i | ||||
\(426\) | −39.6104 | − | 8.59715i | −1.91913 | − | 0.416533i | ||||
\(427\) | 0.673500 | + | 0.789530i | 0.0325930 | + | 0.0382081i | ||||
\(428\) | 6.76218 | − | 2.52943i | 0.326862 | − | 0.122265i | ||||
\(429\) | 1.58450 | − | 5.91344i | 0.0765005 | − | 0.285504i | ||||
\(430\) | 16.6288 | − | 0.799986i | 0.801912 | − | 0.0385788i | ||||
\(431\) | 27.7876 | + | 16.0432i | 1.33848 | + | 0.772774i | 0.986582 | − | 0.163264i | \(-0.0522021\pi\) |
0.351901 | + | 0.936037i | \(0.385535\pi\) | |||||||
\(432\) | −23.3561 | − | 47.8508i | −1.12372 | − | 2.30222i | ||||
\(433\) | − | 15.7783i | − | 0.758258i | −0.925344 | − | 0.379129i | \(-0.876224\pi\) | ||
0.925344 | − | 0.379129i | \(-0.123776\pi\) | |||||||
\(434\) | −20.5448 | − | 0.638556i | −0.986182 | − | 0.0306517i | ||||
\(435\) | −13.2150 | + | 13.2150i | −0.633613 | + | 0.633613i | ||||
\(436\) | −15.7375 | − | 12.9691i | −0.753691 | − | 0.621105i | ||||
\(437\) | −4.09819 | + | 1.09811i | −0.196043 | + | 0.0525295i | ||||
\(438\) | −4.64778 | + | 5.11757i | −0.222079 | + | 0.244527i | ||||
\(439\) | 1.89128 | − | 1.09193i | 0.0902658 | − | 0.0521150i | −0.454188 | − | 0.890906i | \(-0.650070\pi\) |
0.544453 | + | 0.838791i | \(0.316737\pi\) | |||||||
\(440\) | −19.7677 | + | 2.87071i | −0.942388 | + | 0.136856i | ||||
\(441\) | 38.9857 | + | 31.6479i | 1.85646 | + | 1.50704i | ||||
\(442\) | 2.01489 | + | 0.437317i | 0.0958384 | + | 0.0208010i | ||||
\(443\) | 5.35487 | − | 19.9847i | 0.254418 | − | 0.949500i | −0.713996 | − | 0.700150i | \(-0.753116\pi\) |
0.968413 | − | 0.249350i | \(-0.0802169\pi\) | |||||||
\(444\) | −17.3955 | − | 24.3798i | −0.825553 | − | 1.15702i | ||||
\(445\) | −12.5364 | + | 3.35912i | −0.594282 | + | 0.159237i | ||||
\(446\) | 35.6624 | + | 18.3639i | 1.68866 | + | 0.869558i | ||||
\(447\) | 40.0113 | 1.89247 | ||||||||
\(448\) | −20.1291 | − | 6.54375i | −0.951009 | − | 0.309163i | ||||
\(449\) | 31.8400 | 1.50262 | 0.751311 | − | 0.659949i | \(-0.229422\pi\) | ||||
0.751311 | + | 0.659949i | \(0.229422\pi\) | |||||||
\(450\) | −11.2931 | − | 5.81528i | −0.532364 | − | 0.274135i | ||||
\(451\) | −13.9521 | + | 3.73844i | −0.656977 | + | 0.176036i | ||||
\(452\) | −21.4163 | − | 30.0150i | −1.00734 | − | 1.41179i | ||||
\(453\) | −7.54275 | + | 28.1499i | −0.354389 | + | 1.32260i | ||||
\(454\) | −8.94746 | − | 1.94198i | −0.419925 | − | 0.0911418i | ||||
\(455\) | −0.213064 | + | 2.68654i | −0.00998861 | + | 0.125947i | ||||
\(456\) | 14.8809 | − | 2.16104i | 0.696862 | − | 0.101200i | ||||
\(457\) | 8.74709 | − | 5.05014i | 0.409172 | − | 0.236235i | −0.281262 | − | 0.959631i | \(-0.590753\pi\) |
0.690434 | + | 0.723396i | \(0.257420\pi\) | |||||||
\(458\) | −7.56657 | + | 8.33140i | −0.353563 | + | 0.389301i | ||||
\(459\) | −35.6284 | + | 9.54659i | −1.66299 | + | 0.445597i | ||||
\(460\) | −7.60588 | − | 6.26789i | −0.354626 | − | 0.292242i | ||||
\(461\) | 14.0523 | − | 14.0523i | 0.654479 | − | 0.654479i | −0.299589 | − | 0.954068i | \(-0.596850\pi\) |
0.954068 | + | 0.299589i | \(0.0968497\pi\) | |||||||
\(462\) | 37.0088 | + | 22.9288i | 1.72181 | + | 1.06674i | ||||
\(463\) | − | 9.31917i | − | 0.433099i | −0.976272 | − | 0.216549i | \(-0.930520\pi\) | ||
0.976272 | − | 0.216549i | \(-0.0694802\pi\) | |||||||
\(464\) | −10.8796 | + | 5.31036i | −0.505072 | + | 0.246527i | ||||
\(465\) | 29.3769 | + | 16.9608i | 1.36232 | + | 0.786537i | ||||
\(466\) | −0.259841 | + | 0.0125006i | −0.0120369 | + | 0.000579077i | ||||
\(467\) | 3.53968 | − | 13.2103i | 0.163797 | − | 0.611298i | −0.834394 | − | 0.551169i | \(-0.814182\pi\) |
0.998191 | − | 0.0601291i | \(-0.0191513\pi\) | |||||||
\(468\) | −7.07025 | + | 2.64467i | −0.326823 | + | 0.122250i | ||||
\(469\) | −12.7287 | + | 35.8760i | −0.587756 | + | 1.65660i | ||||
\(470\) | 9.93456 | + | 2.15623i | 0.458247 | + | 0.0994593i | ||||
\(471\) | 21.0817 | + | 36.5145i | 0.971391 | + | 1.68250i | ||||
\(472\) | 22.1015 | − | 9.50145i | 1.01731 | − | 0.437340i | ||||
\(473\) | −19.2104 | − | 11.0911i | −0.883293 | − | 0.509969i | ||||
\(474\) | −17.2164 | + | 5.51244i | −0.790777 | + | 0.253195i | ||||
\(475\) | 1.47574 | − | 1.47574i | 0.0677116 | − | 0.0677116i | ||||
\(476\) | −7.11417 | + | 12.8206i | −0.326078 | + | 0.587632i | ||||
\(477\) | −34.1281 | − | 34.1281i | −1.56262 | − | 1.56262i | ||||
\(478\) | 12.7332 | − | 24.7275i | 0.582402 | − | 1.13101i | ||||
\(479\) | −13.2090 | + | 22.8786i | −0.603534 | + | 1.04535i | 0.388748 | + | 0.921344i | \(0.372908\pi\) |
−0.992281 | + | 0.124007i | \(0.960426\pi\) | |||||||
\(480\) | 24.1642 | + | 25.2234i | 1.10294 | + | 1.15128i | ||||
\(481\) | −2.13929 | + | 1.23512i | −0.0975431 | + | 0.0563165i | ||||
\(482\) | 2.74239 | + | 4.26282i | 0.124912 | + | 0.194166i | ||||
\(483\) | 3.90183 | + | 21.1235i | 0.177540 | + | 0.961151i | ||||
\(484\) | 4.19994 | + | 1.91326i | 0.190906 | + | 0.0869666i | ||||
\(485\) | 8.47063 | + | 2.26970i | 0.384631 | + | 0.103062i | ||||
\(486\) | 25.5285 | − | 28.1089i | 1.15799 | − | 1.27504i | ||||
\(487\) | 16.0930 | − | 27.8738i | 0.729242 | − | 1.26308i | −0.227962 | − | 0.973670i | \(-0.573206\pi\) |
0.957204 | − | 0.289414i | \(-0.0934604\pi\) | |||||||
\(488\) | 0.130151 | − | 1.10176i | 0.00589166 | − | 0.0498743i | ||||
\(489\) | −1.26556 | −0.0572305 | ||||||||
\(490\) | −17.8540 | − | 6.96628i | −0.806560 | − | 0.314704i | ||||
\(491\) | −2.25713 | − | 2.25713i | −0.101863 | − | 0.101863i | 0.654339 | − | 0.756202i | \(-0.272947\pi\) |
−0.756202 | + | 0.654339i | \(0.772947\pi\) | |||||||
\(492\) | 19.4926 | + | 16.0635i | 0.878793 | + | 0.724200i | ||||
\(493\) | 2.17056 | + | 8.10063i | 0.0977570 | + | 0.364834i | ||||
\(494\) | −0.0595974 | − | 1.23881i | −0.00268142 | − | 0.0557369i | ||||
\(495\) | −25.3304 | − | 43.8736i | −1.13852 | − | 1.97197i | ||||
\(496\) | 14.4212 | + | 16.5796i | 0.647529 | + | 0.744447i | ||||
\(497\) | −19.5847 | − | 13.4776i | −0.878495 | − | 0.604553i | ||||
\(498\) | 12.6862 | + | 19.7197i | 0.568483 | + | 0.883660i | ||||
\(499\) | −22.0437 | − | 5.90659i | −0.986811 | − | 0.264415i | −0.270900 | − | 0.962607i | \(-0.587321\pi\) |
−0.715910 | + | 0.698192i | \(0.753988\pi\) | |||||||
\(500\) | 23.8761 | + | 3.99182i | 1.06777 | + | 0.178519i | ||||
\(501\) | −19.5309 | − | 72.8901i | −0.872574 | − | 3.25649i | ||||
\(502\) | 21.3104 | − | 6.82327i | 0.951130 | − | 0.304538i | ||||
\(503\) | 23.1194i | 1.03084i | 0.856937 | + | 0.515422i | \(0.172365\pi\) | ||||
−0.856937 | + | 0.515422i | \(0.827635\pi\) | |||||||
\(504\) | −3.49067 | − | 53.5678i | −0.155487 | − | 2.38610i | ||||
\(505\) | 26.2023i | 1.16599i | ||||||||
\(506\) | 4.00442 | + | 12.5066i | 0.178018 | + | 0.555986i | ||||
\(507\) | −10.5033 | − | 39.1989i | −0.466468 | − | 1.74088i | ||||
\(508\) | 33.5121 | − | 23.9115i | 1.48686 | − | 1.06090i | ||||
\(509\) | 10.6078 | + | 2.84236i | 0.470185 | + | 0.125986i | 0.486129 | − | 0.873887i | \(-0.338409\pi\) |
−0.0159440 | + | 0.999873i | \(0.505075\pi\) | |||||||
\(510\) | 20.3497 | − | 13.0915i | 0.901099 | − | 0.579702i | ||||
\(511\) | −3.66089 | + | 1.74345i | −0.161948 | + | 0.0771257i | ||||
\(512\) | 9.48703 | + | 20.5425i | 0.419271 | + | 0.907861i | ||||
\(513\) | 11.0939 | + | 19.2152i | 0.489807 | + | 0.848371i | ||||
\(514\) | −13.0030 | + | 0.625556i | −0.573540 | + | 0.0275921i | ||||
\(515\) | −6.33819 | − | 23.6544i | −0.279294 | − | 1.04234i | ||||
\(516\) | 3.72363 | + | 38.6108i | 0.163924 | + | 1.69975i | ||||
\(517\) | −9.57791 | − | 9.57791i | −0.421236 | − | 0.421236i | ||||
\(518\) | −4.01727 | − | 17.1012i | −0.176509 | − | 0.751384i | ||||
\(519\) | −49.0485 | −2.15299 | ||||||||
\(520\) | 2.26213 | − | 1.78415i | 0.0992011 | − | 0.0782400i | ||||
\(521\) | 4.42108 | − | 7.65754i | 0.193691 | − | 0.335483i | −0.752780 | − | 0.658273i | \(-0.771287\pi\) |
0.946471 | + | 0.322790i | \(0.104621\pi\) | |||||||
\(522\) | −22.7295 | − | 20.6429i | −0.994843 | − | 0.903516i | ||||
\(523\) | −18.3971 | − | 4.92948i | −0.804448 | − | 0.215551i | −0.166912 | − | 0.985972i | \(-0.553380\pi\) |
−0.637536 | + | 0.770420i | \(0.720046\pi\) | |||||||
\(524\) | −29.8288 | + | 11.1576i | −1.30308 | + | 0.487422i | ||||
\(525\) | −6.85749 | − | 8.03889i | −0.299285 | − | 0.350846i | ||||
\(526\) | −3.66993 | + | 2.36097i | −0.160017 | + | 0.102943i | ||||
\(527\) | 13.1825 | − | 7.61092i | 0.574239 | − | 0.331537i | ||||
\(528\) | −8.89430 | − | 45.6842i | −0.387075 | − | 1.98815i | ||||
\(529\) | 8.26031 | − | 14.3073i | 0.359144 | − | 0.622055i | ||||
\(530\) | 16.3769 | + | 8.43313i | 0.711369 | + | 0.366312i | ||||
\(531\) | 43.1437 | + | 43.1437i | 1.87228 | + | 1.87228i | ||||
\(532\) | 8.55687 | + | 2.13759i | 0.370988 | + | 0.0926761i | ||||
\(533\) | 1.47313 | − | 1.47313i | 0.0638085 | − | 0.0638085i | ||||
\(534\) | −9.22133 | − | 28.8000i | −0.399046 | − | 1.24630i | ||||
\(535\) | −6.05226 | − | 3.49427i | −0.261662 | − | 0.151071i | ||||
\(536\) | 37.3870 | − | 16.0727i | 1.61487 | − | 0.694233i | ||||
\(537\) | 0.917707 | + | 1.58952i | 0.0396020 | + | 0.0685927i | ||||
\(538\) | −7.25127 | + | 33.4094i | −0.312624 | + | 1.44038i | ||||
\(539\) | 14.9846 | + | 20.6769i | 0.645432 | + | 0.890617i | ||||
\(540\) | −21.3668 | + | 46.9039i | −0.919482 | + | 2.01842i | ||||
\(541\) | 0.623324 | − | 2.32628i | 0.0267988 | − | 0.100014i | −0.951231 | − | 0.308479i | \(-0.900180\pi\) |
0.978030 | + | 0.208465i | \(0.0668467\pi\) | |||||||
\(542\) | 0.788657 | + | 16.3933i | 0.0338757 | + | 0.704153i | ||||
\(543\) | 0.939194 | + | 0.542244i | 0.0403047 | + | 0.0232699i | ||||
\(544\) | 15.2239 | − | 3.73131i | 0.652721 | − | 0.159979i | ||||
\(545\) | 19.7397i | 0.845555i | ||||||||
\(546\) | −6.27626 | − | 0.195073i | −0.268599 | − | 0.00834837i | ||||
\(547\) | −11.9972 | + | 11.9972i | −0.512962 | + | 0.512962i | −0.915433 | − | 0.402471i | \(-0.868151\pi\) |
0.402471 | + | 0.915433i | \(0.368151\pi\) | |||||||
\(548\) | −0.251699 | − | 2.60990i | −0.0107521 | − | 0.111490i | ||||
\(549\) | 2.71784 | − | 0.728244i | 0.115995 | − | 0.0310807i | ||||
\(550\) | −4.78187 | − | 4.34289i | −0.203900 | − | 0.185181i | ||||
\(551\) | 4.36885 | − | 2.52236i | 0.186119 | − | 0.107456i | ||||
\(552\) | 13.7358 | − | 18.4030i | 0.584633 | − | 0.783285i | ||||
\(553\) | −10.5700 | − | 0.838286i | −0.449481 | − | 0.0356475i | ||||
\(554\) | 1.99582 | − | 9.19550i | 0.0847942 | − | 0.390679i | ||||
\(555\) | −7.50327 | + | 28.0026i | −0.318496 | + | 1.18864i | ||||
\(556\) | 43.7358 | + | 7.31213i | 1.85481 | + | 0.310103i | ||||
\(557\) | −19.7236 | + | 5.28493i | −0.835716 | + | 0.223930i | −0.651206 | − | 0.758901i | \(-0.725737\pi\) |
−0.184510 | + | 0.982831i | \(0.559070\pi\) | |||||||
\(558\) | −25.5138 | + | 49.5472i | −1.08009 | + | 2.09750i | ||||
\(559\) | 3.19939 | 0.135320 | ||||||||
\(560\) | 7.50314 | + | 19.0648i | 0.317066 | + | 0.805634i | ||||
\(561\) | −32.2407 | −1.36120 | ||||||||
\(562\) | 10.5277 | − | 20.4445i | 0.444083 | − | 0.862399i | ||||
\(563\) | 15.4308 | − | 4.13466i | 0.650330 | − | 0.174255i | 0.0814517 | − | 0.996677i | \(-0.474044\pi\) |
0.568878 | + | 0.822422i | \(0.307378\pi\) | |||||||
\(564\) | −3.90590 | + | 23.3622i | −0.164468 | + | 0.983727i | ||||
\(565\) | −9.23757 | + | 34.4751i | −0.388628 | + | 1.45038i | ||||
\(566\) | 7.19292 | − | 33.1406i | 0.302341 | − | 1.39300i | ||||
\(567\) | 50.0155 | − | 23.8192i | 2.10045 | − | 1.00031i | ||||
\(568\) | 3.65259 | + | 25.1517i | 0.153259 | + | 1.05534i | ||||
\(569\) | 17.3910 | − | 10.0407i | 0.729068 | − | 0.420928i | −0.0890129 | − | 0.996030i | \(-0.528371\pi\) |
0.818081 | + | 0.575103i | \(0.195038\pi\) | |||||||
\(570\) | −10.7749 | − | 9.78576i | −0.451311 | − | 0.409880i | ||||
\(571\) | −17.3971 | + | 4.66153i | −0.728045 | + | 0.195079i | −0.603758 | − | 0.797167i | \(-0.706331\pi\) |
−0.124286 | + | 0.992246i | \(0.539664\pi\) | |||||||
\(572\) | −3.82104 | + | 0.368502i | −0.159766 | + | 0.0154078i | ||||
\(573\) | 11.9233 | − | 11.9233i | 0.498103 | − | 0.498103i | ||||
\(574\) | 7.00546 | + | 13.0543i | 0.292402 | + | 0.544876i | ||||
\(575\) | − | 3.18721i | − | 0.132916i | ||||||
\(576\) | −39.4845 | + | 41.6454i | −1.64519 | + | 1.73522i | ||||
\(577\) | −16.2314 | − | 9.37123i | −0.675724 | − | 0.390129i | 0.122518 | − | 0.992466i | \(-0.460903\pi\) |
−0.798242 | + | 0.602337i | \(0.794236\pi\) | |||||||
\(578\) | 0.633507 | + | 13.1683i | 0.0263504 | + | 0.547729i | ||||
\(579\) | 13.9292 | − | 51.9845i | 0.578878 | − | 2.16040i | ||||
\(580\) | 10.6643 | + | 4.85806i | 0.442810 | + | 0.201720i | ||||
\(581\) | 2.49817 | + | 13.5244i | 0.103642 | + | 0.561087i | ||||
\(582\) | −4.33389 | + | 19.9679i | −0.179646 | + | 0.827697i | ||||
\(583\) | −12.2721 | − | 21.2558i | −0.508257 | − | 0.880327i | ||||
\(584\) | 4.02657 | + | 1.60539i | 0.166621 | + | 0.0664316i | ||||
\(585\) | 6.32799 | + | 3.65347i | 0.261630 | + | 0.151052i | ||||
\(586\) | −9.45315 | − | 29.5240i | −0.390506 | − | 1.21963i | ||||
\(587\) | 16.4500 | − | 16.4500i | 0.678963 | − | 0.678963i | −0.280802 | − | 0.959766i | \(-0.590601\pi\) |
0.959766 | + | 0.280802i | \(0.0906006\pi\) | |||||||
\(588\) | 14.2137 | − | 42.3317i | 0.586163 | − | 1.74573i | ||||
\(589\) | −6.47461 | − | 6.47461i | −0.266782 | − | 0.266782i | ||||
\(590\) | −20.7032 | − | 10.6609i | −0.852338 | − | 0.438902i | ||||
\(591\) | 4.09868 | − | 7.09912i | 0.168597 | − | 0.292019i | ||||
\(592\) | −10.4968 | + | 15.5721i | −0.431414 | + | 0.640011i | ||||
\(593\) | 1.34548 | − | 0.776813i | 0.0552522 | − | 0.0318999i | −0.472119 | − | 0.881535i | \(-0.656511\pi\) |
0.527372 | + | 0.849635i | \(0.323178\pi\) | |||||||
\(594\) | 57.7554 | − | 37.1557i | 2.36973 | − | 1.52452i | ||||
\(595\) | 13.9565 | − | 2.57798i | 0.572160 | − | 0.105687i | ||||
\(596\) | −8.78976 | − | 23.4986i | −0.360043 | − | 0.962539i | ||||
\(597\) | 2.24543 | + | 0.601662i | 0.0918994 | + | 0.0246244i | ||||
\(598\) | −1.40211 | − | 1.27340i | −0.0573367 | − | 0.0520731i | ||||
\(599\) | 0.821999 | − | 1.42374i | 0.0335860 | − | 0.0581726i | −0.848744 | − | 0.528804i | \(-0.822641\pi\) |
0.882330 | + | 0.470632i | \(0.155974\pi\) | |||||||
\(600\) | −1.32518 | + | 11.2180i | −0.0541002 | + | 0.457971i | ||||
\(601\) | −35.9484 | −1.46637 | −0.733183 | − | 0.680031i | \(-0.761966\pi\) | ||||
−0.733183 | + | 0.680031i | \(0.761966\pi\) | |||||||
\(602\) | −6.56853 | + | 21.7832i | −0.267713 | + | 0.887815i | ||||
\(603\) | 72.9819 | + | 72.9819i | 2.97205 | + | 2.97205i | ||||
\(604\) | 18.1894 | − | 1.75419i | 0.740116 | − | 0.0713769i | ||||
\(605\) | −1.15625 | − | 4.31517i | −0.0470081 | − | 0.175437i | ||||
\(606\) | −60.9810 | + | 2.93370i | −2.47718 | + | 0.119174i | ||||
\(607\) | 12.3075 | + | 21.3172i | 0.499545 | + | 0.865237i | 1.00000 | 0.000525205i | \(-0.000167178\pi\) | |
−0.500455 | + | 0.865763i | \(0.666834\pi\) | |||||||
\(608\) | −4.53824 | − | 8.26478i | −0.184050 | − | 0.335181i | ||||
\(609\) | −10.9818 | − | 23.0596i | −0.445006 | − | 0.934424i | ||||
\(610\) | −0.903139 | + | 0.581014i | −0.0365670 | + | 0.0235246i | ||||
\(611\) | 1.88709 | + | 0.505643i | 0.0763433 | + | 0.0204561i | ||||
\(612\) | 23.0900 | + | 32.3608i | 0.933359 | + | 1.30811i | ||||
\(613\) | 7.49076 | + | 27.9559i | 0.302549 | + | 1.12913i | 0.935035 | + | 0.354556i | \(0.115368\pi\) |
−0.632485 | + | 0.774572i | \(0.717965\pi\) | |||||||
\(614\) | 5.06450 | + | 15.8174i | 0.204386 | + | 0.638339i | ||||
\(615\) | − | 24.4497i | − | 0.985905i | ||||||
\(616\) | 5.33586 | − | 26.7723i | 0.214988 | − | 1.07869i | ||||
\(617\) | 10.2299i | 0.411839i | 0.978569 | + | 0.205920i | \(0.0660186\pi\) | ||||
−0.978569 | + | 0.205920i | \(0.933981\pi\) | |||||||
\(618\) | 54.3416 | − | 17.3994i | 2.18594 | − | 0.699905i | ||||
\(619\) | 2.37448 | + | 8.86168i | 0.0954384 | + | 0.356181i | 0.997086 | − | 0.0762915i | \(-0.0243079\pi\) |
−0.901647 | + | 0.432472i | \(0.857641\pi\) | |||||||
\(620\) | 3.50745 | − | 20.9790i | 0.140863 | − | 0.842536i | ||||
\(621\) | 32.7298 | + | 8.76992i | 1.31340 | + | 0.351925i | ||||
\(622\) | −6.76772 | − | 10.5199i | −0.271361 | − | 0.421808i | ||||
\(623\) | 1.40230 | − | 17.6817i | 0.0561820 | − | 0.708401i | ||||
\(624\) | 4.40554 | + | 5.06493i | 0.176363 | + | 0.202759i | ||||
\(625\) | −8.58582 | − | 14.8711i | −0.343433 | − | 0.594843i | ||||
\(626\) | −1.70045 | − | 35.3461i | −0.0679635 | − | 1.41271i | ||||
\(627\) | 5.01952 | + | 18.7331i | 0.200460 | + | 0.748128i | ||||
\(628\) | 16.8136 | − | 20.4028i | 0.670937 | − | 0.814160i | ||||
\(629\) | 9.19880 | + | 9.19880i | 0.366780 | + | 0.366780i | ||||
\(630\) | −37.8665 | + | 35.5836i | −1.50864 | + | 1.41768i | ||||
\(631\) | −2.48179 | −0.0987983 | −0.0493992 | − | 0.998779i | \(-0.515731\pi\) | ||||
−0.0493992 | + | 0.998779i | \(0.515731\pi\) | |||||||
\(632\) | 7.01959 | + | 8.90019i | 0.279224 | + | 0.354031i | ||||
\(633\) | 18.5926 | − | 32.2033i | 0.738990 | − | 1.27997i | ||||
\(634\) | −3.04064 | + | 3.34799i | −0.120759 | + | 0.132966i | ||||
\(635\) | −38.4919 | − | 10.3139i | −1.52750 | − | 0.409293i | ||||
\(636\) | −17.7929 | + | 39.0584i | −0.705534 | + | 1.54877i | ||||
\(637\) | −3.36284 | − | 1.50209i | −0.133241 | − | 0.0595152i | ||||
\(638\) | −8.44788 | − | 13.1315i | −0.334455 | − | 0.519883i | ||||
\(639\) | −55.8232 | + | 32.2296i | −2.20833 | + | 1.27498i | ||||
\(640\) | 9.50520 | − | 19.7327i | 0.375726 | − | 0.780005i | ||||
\(641\) | 7.96198 | − | 13.7906i | 0.314479 | − | 0.544694i | −0.664847 | − | 0.746979i | \(-0.731503\pi\) |
0.979327 | + | 0.202285i | \(0.0648367\pi\) | |||||||
\(642\) | 7.45463 | − | 14.4767i | 0.294211 | − | 0.571351i | ||||
\(643\) | −7.66392 | − | 7.66392i | −0.302236 | − | 0.302236i | 0.539652 | − | 0.841888i | \(-0.318556\pi\) |
−0.841888 | + | 0.539652i | \(0.818556\pi\) | |||||||
\(644\) | 11.5486 | − | 6.93198i | 0.455079 | − | 0.273158i | ||||
\(645\) | 26.5502 | − | 26.5502i | 1.04541 | − | 1.04541i | ||||
\(646\) | −6.22046 | + | 1.99170i | −0.244741 | + | 0.0783623i | ||||
\(647\) | −7.28511 | − | 4.20606i | −0.286407 | − | 0.165357i | 0.349913 | − | 0.936782i | \(-0.386211\pi\) |
−0.636320 | + | 0.771425i | \(0.719544\pi\) | |||||||
\(648\) | −55.0114 | − | 21.9330i | −2.16105 | − | 0.861610i | ||||
\(649\) | 15.5140 | + | 26.8710i | 0.608976 | + | 1.05478i | ||||
\(650\) | 0.910489 | + | 0.197615i | 0.0357123 | + | 0.00775111i | ||||
\(651\) | −35.2696 | + | 30.0863i | −1.38232 | + | 1.17918i | ||||
\(652\) | 0.278020 | + | 0.743259i | 0.0108881 | + | 0.0291083i | ||||
\(653\) | −12.7054 | + | 47.4173i | −0.497201 | + | 1.85558i | 0.0201333 | + | 0.999797i | \(0.493591\pi\) |
−0.517335 | + | 0.855783i | \(0.673076\pi\) | |||||||
\(654\) | −45.9404 | + | 2.21012i | −1.79641 | + | 0.0864226i | ||||
\(655\) | 26.6972 | + | 15.4136i | 1.04315 | + | 0.602261i | ||||
\(656\) | 5.15192 | − | 14.9768i | 0.201149 | − | 0.584747i | ||||
\(657\) | 10.9940i | 0.428916i | ||||||||
\(658\) | −7.31699 | + | 11.8102i | −0.285246 | + | 0.460409i | ||||
\(659\) | −4.57653 | + | 4.57653i | −0.178276 | + | 0.178276i | −0.790604 | − | 0.612328i | \(-0.790233\pi\) |
0.612328 | + | 0.790604i | \(0.290233\pi\) | |||||||
\(660\) | −28.6510 | + | 34.7670i | −1.11524 | + | 1.35330i | ||||
\(661\) | 36.2259 | − | 9.70671i | 1.40903 | − | 0.377547i | 0.527448 | − | 0.849587i | \(-0.323149\pi\) |
0.881577 | + | 0.472040i | \(0.156482\pi\) | |||||||
\(662\) | 13.0428 | − | 14.3611i | 0.506922 | − | 0.558161i | ||||
\(663\) | 4.02714 | − | 2.32507i | 0.156401 | − | 0.0902983i | ||||
\(664\) | 8.79440 | − | 11.7826i | 0.341289 | − | 0.457255i | ||||
\(665\) | −3.67078 | − | 7.70791i | −0.142347 | − | 0.298900i | ||||
\(666\) | −46.5453 | − | 10.1023i | −1.80359 | − | 0.391457i | ||||
\(667\) | 1.99397 | − | 7.44160i | 0.0772068 | − | 0.288140i | ||||
\(668\) | −38.5177 | + | 27.4831i | −1.49029 | + | 1.06335i | ||||
\(669\) | 87.3870 | − | 23.4153i | 3.37858 | − | 0.905286i | ||||
\(670\) | −35.0216 | − | 18.0340i | −1.35300 | − | 0.696714i | ||||
\(671\) | 1.43087 | 0.0552382 | ||||||||
\(672\) | −43.5296 | + | 19.5967i | −1.67919 | + | 0.755959i | ||||
\(673\) | 1.25969 | 0.0485576 | 0.0242788 | − | 0.999705i | \(-0.492271\pi\) | ||||
0.0242788 | + | 0.999705i | \(0.492271\pi\) | |||||||
\(674\) | −38.1694 | − | 19.6549i | −1.47023 | − | 0.757080i | ||||
\(675\) | −16.0998 | + | 4.31392i | −0.619681 | + | 0.166043i | ||||
\(676\) | −20.7140 | + | 14.7799i | −0.796694 | + | 0.568456i | ||||
\(677\) | −2.73796 | + | 10.2182i | −0.105228 | + | 0.392717i | −0.998371 | − | 0.0570560i | \(-0.981829\pi\) |
0.893143 | + | 0.449774i | \(0.148495\pi\) | |||||||
\(678\) | −81.2685 | − | 17.6388i | −3.12110 | − | 0.677412i | ||||
\(679\) | −6.79417 | + | 9.87282i | −0.260736 | + | 0.378884i | ||||
\(680\) | −12.1591 | − | 9.07536i | −0.466279 | − | 0.348024i | ||||
\(681\) | −17.8832 | + | 10.3249i | −0.685287 | + | 0.395651i | ||||
\(682\) | −19.0539 | + | 20.9798i | −0.729610 | + | 0.803359i | ||||
\(683\) | 32.3526 | − | 8.66885i | 1.23794 | − | 0.331705i | 0.420272 | − | 0.907398i | \(-0.361935\pi\) |
0.817666 | + | 0.575693i | \(0.195268\pi\) | |||||||
\(684\) | 15.2080 | − | 18.4544i | 0.581493 | − | 0.705622i | ||||
\(685\) | −1.79466 | + | 1.79466i | −0.0685706 | + | 0.0685706i | ||||
\(686\) | 17.1312 | − | 19.8122i | 0.654072 | − | 0.756432i | ||||
\(687\) | 25.3833i | 0.968434i | ||||||||
\(688\) | 21.8581 | − | 10.6690i | 0.833331 | − | 0.406751i | ||||
\(689\) | 3.06577 | + | 1.77003i | 0.116797 | + | 0.0674326i | ||||
\(690\) | −22.2028 | + | 1.06814i | −0.845246 | + | 0.0406635i | ||||
\(691\) | −3.83874 | + | 14.3264i | −0.146033 | + | 0.545001i | 0.853675 | + | 0.520807i | \(0.174369\pi\) |
−0.999707 | + | 0.0241943i | \(0.992298\pi\) | |||||||
\(692\) | 10.7751 | + | 28.8061i | 0.409607 | + | 1.09504i | ||||
\(693\) | 68.0837 | − | 12.5761i | 2.58629 | − | 0.477728i | ||||
\(694\) | 18.6791 | + | 4.05417i | 0.709050 | + | 0.153894i | ||||
\(695\) | −21.4613 | − | 37.1721i | −0.814074 | − | 1.41002i | ||||
\(696\) | −10.1122 | + | 25.3630i | −0.383303 | + | 0.961383i | ||||
\(697\) | −9.50156 | − | 5.48573i | −0.359897 | − | 0.207787i | ||||
\(698\) | 24.1128 | − | 7.72057i | 0.912684 | − | 0.292228i | ||||
\(699\) | −0.414872 | + | 0.414872i | −0.0156919 | + | 0.0156919i | ||||
\(700\) | −3.21476 | + | 5.79339i | −0.121506 | + | 0.218969i | ||||
\(701\) | −14.0698 | − | 14.0698i | −0.531408 | − | 0.531408i | 0.389583 | − | 0.920991i | \(-0.372619\pi\) |
−0.920991 | + | 0.389583i | \(0.872619\pi\) | |||||||
\(702\) | −4.53464 | + | 8.80616i | −0.171149 | + | 0.332367i | ||||
\(703\) | 3.91271 | − | 6.77701i | 0.147571 | − | 0.255600i | ||||
\(704\) | −24.8763 | + | 15.2596i | −0.937561 | + | 0.575118i | ||||
\(705\) | 19.8561 | − | 11.4639i | 0.747825 | − | 0.431757i | ||||
\(706\) | 23.6629 | + | 36.7820i | 0.890565 | + | 1.38431i | ||||
\(707\) | −33.7481 | − | 11.9737i | −1.26923 | − | 0.450319i | ||||
\(708\) | 22.4932 | − | 49.3765i | 0.845347 | − | 1.85568i | ||||
\(709\) | −12.5757 | − | 3.36966i | −0.472291 | − | 0.126550i | 0.0148195 | − | 0.999890i | \(-0.495283\pi\) |
−0.487111 | + | 0.873340i | \(0.661949\pi\) | |||||||
\(710\) | 16.5399 | − | 18.2118i | 0.620732 | − | 0.683476i | ||||
\(711\) | −14.3743 | + | 24.8970i | −0.539078 | + | 0.933710i | ||||
\(712\) | −14.8884 | + | 11.7425i | −0.557967 | + | 0.440069i | ||||
\(713\) | −13.9835 | −0.523684 | ||||||||
\(714\) | 7.56238 | + | 32.1925i | 0.283015 | + | 1.20477i | ||||
\(715\) | 2.62748 | + | 2.62748i | 0.0982623 | + | 0.0982623i | ||||
\(716\) | 0.731916 | − | 0.888156i | 0.0273530 | − | 0.0331919i | ||||
\(717\) | −16.2356 | − | 60.5923i | −0.606331 | − | 2.26286i | ||||
\(718\) | 1.25439 | + | 26.0742i | 0.0468134 | + | 0.973081i | ||||
\(719\) | 10.1472 | + | 17.5754i | 0.378425 | + | 0.655452i | 0.990833 | − | 0.135090i | \(-0.0431324\pi\) |
−0.612408 | + | 0.790542i | \(0.709799\pi\) | |||||||
\(720\) | 55.4157 | + | 3.85837i | 2.06522 | + | 0.143793i | ||||
\(721\) | 33.3629 | + | 2.64595i | 1.24250 | + | 0.0985403i | ||||
\(722\) | −12.4120 | − | 19.2934i | −0.461927 | − | 0.718027i | ||||
\(723\) | 11.0425 | + | 2.95882i | 0.410673 | + | 0.110040i | ||||
\(724\) | 0.112135 | − | 0.670708i | 0.00416746 | − | 0.0249267i | ||||
\(725\) | 0.980834 | + | 3.66052i | 0.0364272 | + | 0.135948i | ||||
\(726\) | 9.91328 | − | 3.17408i | 0.367916 | − | 0.117801i | ||||
\(727\) | 38.4308i | 1.42532i | 0.701510 | + | 0.712660i | \(0.252510\pi\) | ||||
−0.701510 | + | 0.712660i | \(0.747490\pi\) | |||||||
\(728\) | 1.26422 | + | 3.72889i | 0.0468549 | + | 0.138202i | ||||
\(729\) | − | 22.8244i | − | 0.845348i | ||||||
\(730\) | −1.27950 | − | 3.99614i | −0.0473566 | − | 0.147904i | ||||
\(731\) | −4.36084 | − | 16.2749i | −0.161292 | − | 0.601948i | ||||
\(732\) | −1.45332 | − | 2.03683i | −0.0537162 | − | 0.0752835i | ||||
\(733\) | −48.4699 | − | 12.9875i | −1.79028 | − | 0.479703i | −0.797882 | − | 0.602813i | \(-0.794046\pi\) |
−0.992393 | + | 0.123110i | \(0.960713\pi\) | |||||||
\(734\) | 19.2784 | − | 12.4023i | 0.711580 | − | 0.457779i | ||||
\(735\) | −40.3718 | + | 15.4415i | −1.48914 | + | 0.569567i | ||||
\(736\) | −13.8256 | − | 4.02417i | −0.509617 | − | 0.148333i | ||||
\(737\) | 26.2434 | + | 45.4549i | 0.966689 | + | 1.67435i | ||||
\(738\) | 40.1225 | − | 1.93023i | 1.47693 | − | 0.0710527i | ||||
\(739\) | 1.90941 | + | 7.12602i | 0.0702388 | + | 0.262135i | 0.992112 | − | 0.125358i | \(-0.0400079\pi\) |
−0.921873 | + | 0.387493i | \(0.873341\pi\) | |||||||
\(740\) | 18.0942 | − | 1.74501i | 0.665156 | − | 0.0641478i | ||||
\(741\) | −1.97794 | − | 1.97794i | −0.0726614 | − | 0.0726614i | ||||
\(742\) | −18.3455 | + | 17.2395i | −0.673485 | + | 0.632881i | ||||
\(743\) | 13.2937 | 0.487698 | 0.243849 | − | 0.969813i | \(-0.421590\pi\) | ||||
0.243849 | + | 0.969813i | \(0.421590\pi\) | |||||||
\(744\) | 49.2173 | + | 5.81405i | 1.80439 | + | 0.213153i | ||||
\(745\) | −12.1426 | + | 21.0316i | −0.444870 | + | 0.770537i | ||||
\(746\) | 37.6956 | + | 34.2351i | 1.38013 | + | 1.25344i | ||||
\(747\) | 36.0187 | + | 9.65119i | 1.31786 | + | 0.353119i | ||||
\(748\) | 7.08269 | + | 18.9349i | 0.258969 | + | 0.692328i | ||||
\(749\) | 7.26627 | − | 6.19841i | 0.265504 | − | 0.226485i | ||||
\(750\) | 45.9161 | − | 29.5391i | 1.67662 | − | 1.07861i | ||||
\(751\) | 10.6206 | − | 6.13182i | 0.387552 | − | 0.223753i | −0.293547 | − | 0.955945i | \(-0.594836\pi\) |
0.681099 | + | 0.732191i | \(0.261502\pi\) | |||||||
\(752\) | 14.5786 | − | 2.83833i | 0.531629 | − | 0.103503i | ||||
\(753\) | 25.2333 | − | 43.7054i | 0.919553 | − | 1.59271i | ||||
\(754\) | 2.00221 | + | 1.03102i | 0.0729162 | + | 0.0375474i | ||||
\(755\) | −12.5077 | − | 12.5077i | −0.455201 | − | 0.455201i | ||||
\(756\) | −50.6472 | − | 48.9538i | −1.84202 | − | 1.78043i | ||||
\(757\) | 27.2609 | − | 27.2609i | 0.990813 | − | 0.990813i | −0.00914525 | − | 0.999958i | \(-0.502911\pi\) |
0.999958 | + | 0.00914525i | \(0.00291107\pi\) | |||||||
\(758\) | 11.5824 | + | 36.1741i | 0.420692 | + | 1.31390i | ||||
\(759\) | 25.6497 | + | 14.8089i | 0.931025 | + | 0.537527i | ||||
\(760\) | −3.38011 | + | 8.47783i | −0.122609 | + | 0.307523i | ||||
\(761\) | −10.1480 | − | 17.5769i | −0.367867 | − | 0.637164i | 0.621365 | − | 0.783521i | \(-0.286578\pi\) |
−0.989232 | + | 0.146358i | \(0.953245\pi\) | |||||||
\(762\) | 19.6939 | − | 90.7373i | 0.713435 | − | 3.28707i | ||||
\(763\) | −25.4243 | − | 9.02048i | −0.920423 | − | 0.326563i | ||||
\(764\) | −9.62187 | − | 4.38320i | −0.348107 | − | 0.158579i | ||||
\(765\) | 9.95952 | − | 37.1695i | 0.360087 | − | 1.34386i | ||||
\(766\) | 1.61444 | + | 33.5583i | 0.0583321 | + | 1.21251i | ||||
\(767\) | −3.87566 | − | 2.23761i | −0.139942 | − | 0.0807955i | ||||
\(768\) | 46.9884 | + | 19.9122i | 1.69555 | + | 0.718520i | ||||
\(769\) | 19.6449i | 0.708412i | 0.935167 | + | 0.354206i | \(0.115249\pi\) | ||||
−0.935167 | + | 0.354206i | \(0.884751\pi\) | |||||||
\(770\) | −23.2837 | + | 12.4950i | −0.839087 | + | 0.450287i | ||||
\(771\) | −20.7612 | + | 20.7612i | −0.747695 | + | 0.747695i | ||||
\(772\) | −33.5904 | + | 3.23946i | −1.20894 | + | 0.116591i | ||||
\(773\) | −47.3606 | + | 12.6902i | −1.70344 | + | 0.456436i | −0.973802 | − | 0.227397i | \(-0.926979\pi\) |
−0.729639 | + | 0.683832i | \(0.760312\pi\) | |||||||
\(774\) | 45.6656 | + | 41.4734i | 1.64141 | + | 1.49073i | ||||
\(775\) | 5.95692 | − | 3.43923i | 0.213979 | − | 0.123541i | ||||
\(776\) | 12.6792 | − | 1.84130i | 0.455157 | − | 0.0660989i | ||||
\(777\) | −32.6380 | − | 22.4605i | −1.17088 | − | 0.805765i | ||||
\(778\) | −4.05325 | + | 18.6749i | −0.145316 | + | 0.669526i | ||||
\(779\) | −1.70813 | + | 6.37485i | −0.0612003 | + | 0.228403i | ||||
\(780\) | 1.07150 | − | 6.40890i | 0.0383657 | − | 0.229475i | ||||
\(781\) | −31.6627 | + | 8.48400i | −1.13298 | + | 0.303581i | ||||
\(782\) | −4.56651 | + | 8.86805i | −0.163298 | + | 0.317121i | ||||
\(783\) | −40.2892 | −1.43982 | ||||||||
\(784\) | −27.9838 | + | 0.951830i | −0.999422 | + | 0.0339939i | ||||
\(785\) | −25.5913 | −0.913394 | ||||||||
\(786\) | −32.8832 | + | 63.8585i | −1.17291 | + | 2.27776i | ||||
\(787\) | −2.76449 | + | 0.740742i | −0.0985433 | + | 0.0264046i | −0.307754 | − | 0.951466i | \(-0.599577\pi\) |
0.209210 | + | 0.977871i | \(0.432911\pi\) | |||||||
\(788\) | −5.06971 | − | 0.847598i | −0.180601 | − | 0.0301944i | ||||
\(789\) | −2.54729 | + | 9.50662i | −0.0906860 | + | 0.338445i | ||||
\(790\) | 2.32726 | − | 10.7226i | 0.0828001 | − | 0.381492i | ||||
\(791\) | −40.1820 | − | 27.6520i | −1.42871 | − | 0.983191i | ||||
\(792\) | −59.3154 | − | 44.2722i | −2.10768 | − | 1.57314i | ||||
\(793\) | −0.178728 | + | 0.103189i | −0.00634683 | + | 0.00366434i | ||||
\(794\) | 4.83583 | + | 4.39190i | 0.171617 | + | 0.155863i | ||||
\(795\) | 40.1300 | − | 10.7528i | 1.42326 | − | 0.381363i | ||||
\(796\) | −0.139926 | − | 1.45091i | −0.00495955 | − | 0.0514262i | ||||
\(797\) | −39.0301 | + | 39.0301i | −1.38252 | + | 1.38252i | −0.542386 | + | 0.840129i | \(0.682479\pi\) |
−0.840129 | + | 0.542386i | \(0.817521\pi\) | |||||||
\(798\) | 17.5277 | − | 9.40605i | 0.620474 | − | 0.332971i | ||||
\(799\) | − | 10.2886i | − | 0.363984i | ||||||
\(800\) | 6.87940 | − | 1.68611i | 0.243224 | − | 0.0596129i | ||||
\(801\) | −41.6482 | − | 24.0456i | −1.47157 | − | 0.849609i | ||||
\(802\) | −1.51634 | − | 31.5192i | −0.0535439 | − | 1.11298i | ||||
\(803\) | −1.44701 | + | 5.40031i | −0.0510639 | + | 0.190573i | ||||
\(804\) | 38.0496 | − | 83.5253i | 1.34190 | − | 2.94571i | ||||
\(805\) | −12.2875 | − | 4.35956i | −0.433077 | − | 0.153654i | ||||
\(806\) | 0.867011 | − | 3.99465i | 0.0305392 | − | 0.140706i | ||||
\(807\) | 38.5526 | + | 66.7751i | 1.35712 | + | 2.35059i | ||||
\(808\) | 15.1194 | + | 35.1696i | 0.531898 | + | 1.23726i | ||||
\(809\) | 36.0749 | + | 20.8279i | 1.26833 | + | 0.732269i | 0.974671 | − | 0.223642i | \(-0.0717946\pi\) |
0.293656 | + | 0.955911i | \(0.405128\pi\) | |||||||
\(810\) | 17.4807 | + | 54.5956i | 0.614209 | + | 1.91829i | ||||
\(811\) | 6.24833 | − | 6.24833i | 0.219409 | − | 0.219409i | −0.588841 | − | 0.808249i | \(-0.700415\pi\) |
0.808249 | + | 0.588841i | \(0.200415\pi\) | |||||||
\(812\) | −11.1304 | + | 11.5154i | −0.390599 | + | 0.404111i | ||||
\(813\) | 26.1742 | + | 26.1742i | 0.917969 | + | 0.917969i | ||||
\(814\) | −21.5337 | − | 11.0885i | −0.754755 | − | 0.388653i | ||||
\(815\) | 0.384070 | − | 0.665229i | 0.0134534 | − | 0.0233019i | ||||
\(816\) | 19.7598 | − | 29.3141i | 0.691732 | − | 1.02620i | ||||
\(817\) | −8.77741 | + | 5.06764i | −0.307083 | + | 0.177294i | ||||
\(818\) | −6.73981 | + | 4.33591i | −0.235652 | + | 0.151601i | ||||
\(819\) | −7.59731 | + | 6.48080i | −0.265471 | + | 0.226457i | ||||
\(820\) | −14.3592 | + | 5.37115i | −0.501446 | + | 0.187569i | ||||
\(821\) | 41.1258 | + | 11.0196i | 1.43530 | + | 0.384588i | 0.890886 | − | 0.454228i | \(-0.150085\pi\) |
0.544416 | + | 0.838816i | \(0.316751\pi\) | |||||||
\(822\) | −4.37768 | − | 3.97580i | −0.152689 | − | 0.138672i | ||||
\(823\) | 0.688665 | − | 1.19280i | 0.0240054 | − | 0.0415785i | −0.853773 | − | 0.520645i | \(-0.825691\pi\) |
0.877779 | + | 0.479067i | \(0.159025\pi\) | |||||||
\(824\) | −22.1565 | − | 28.0924i | −0.771858 | − | 0.978645i | ||||
\(825\) | −14.5689 | −0.507225 | ||||||||
\(826\) | 23.1918 | − | 21.7936i | 0.806947 | − | 0.758297i | ||||
\(827\) | −14.2870 | − | 14.2870i | −0.496807 | − | 0.496807i | 0.413636 | − | 0.910443i | \(-0.364259\pi\) |
−0.910443 | + | 0.413636i | \(0.864259\pi\) | |||||||
\(828\) | −3.50569 | − | 36.3510i | −0.121831 | − | 1.26328i | ||||
\(829\) | 5.38274 | + | 20.0887i | 0.186950 | + | 0.697708i | 0.994205 | + | 0.107504i | \(0.0342859\pi\) |
−0.807254 | + | 0.590204i | \(0.799047\pi\) | |||||||
\(830\) | −14.2155 | + | 0.683884i | −0.493426 | + | 0.0237380i | ||||
\(831\) | −10.6111 | − | 18.3790i | −0.368095 | − | 0.637560i | ||||
\(832\) | 2.00681 | − | 3.70004i | 0.0695735 | − | 0.128276i | ||||
\(833\) | −3.05733 | + | 19.1538i | −0.105930 | + | 0.663639i | ||||
\(834\) | 84.1081 | − | 54.1091i | 2.91243 | − | 1.87364i | ||||
\(835\) | 44.2412 | + | 11.8544i | 1.53103 | + | 0.410239i | ||||
\(836\) | 9.89921 | − | 7.06328i | 0.342371 | − | 0.244288i | ||||
\(837\) | 18.9268 | + | 70.6357i | 0.654205 | + | 2.44153i | ||||
\(838\) | 1.63164 | + | 5.09593i | 0.0563640 | + | 0.176036i | ||||
\(839\) | − | 12.7357i | − | 0.439684i | −0.975535 | − | 0.219842i | \(-0.929446\pi\) | ||
0.975535 | − | 0.219842i | \(-0.0705542\pi\) | |||||||
\(840\) | 41.4354 | + | 20.4532i | 1.42966 | + | 0.705702i | ||||
\(841\) | − | 19.8397i | − | 0.684126i | ||||||
\(842\) | −32.7919 | + | 10.4995i | −1.13008 | + | 0.361836i | ||||
\(843\) | −13.4235 | − | 50.0972i | −0.462330 | − | 1.72544i | ||||
\(844\) | −22.9974 | − | 3.84491i | −0.791604 | − | 0.132347i | ||||
\(845\) | 23.7921 | + | 6.37506i | 0.818472 | + | 0.219309i | ||||
\(846\) | 20.3802 | + | 31.6793i | 0.700685 | + | 1.08916i | ||||
\(847\) | 6.08623 | + | 0.482688i | 0.209125 | + | 0.0165854i | ||||
\(848\) | 26.8477 | + | 1.86930i | 0.921954 | + | 0.0641920i | ||||
\(849\) | −38.2424 | − | 66.2378i | −1.31248 | − | 2.27328i | ||||
\(850\) | −0.235775 | − | 4.90090i | −0.00808701 | − | 0.168099i | ||||
\(851\) | −3.09307 | − | 11.5435i | −0.106029 | − | 0.395706i | ||||
\(852\) | 44.2363 | + | 36.4545i | 1.51551 | + | 1.24891i | ||||
\(853\) | −17.4577 | − | 17.4577i | −0.597741 | − | 0.597741i | 0.341970 | − | 0.939711i | \(-0.388906\pi\) |
−0.939711 | + | 0.341970i | \(0.888906\pi\) | |||||||
\(854\) | −0.335626 | − | 1.42873i | −0.0114849 | − | 0.0488902i | ||||
\(855\) | −23.1475 | −0.791628 | ||||||||
\(856\) | −10.1398 | − | 1.19782i | −0.346571 | − | 0.0409405i | ||||
\(857\) | 1.56865 | − | 2.71698i | 0.0535840 | − | 0.0928102i | −0.837989 | − | 0.545687i | \(-0.816269\pi\) |
0.891573 | + | 0.452877i | \(0.149602\pi\) | |||||||
\(858\) | −5.82079 | + | 6.40916i | −0.198719 | + | 0.218805i | ||||
\(859\) | −1.72578 | − | 0.462421i | −0.0588828 | − | 0.0157776i | 0.229257 | − | 0.973366i | \(-0.426370\pi\) |
−0.288140 | + | 0.957588i | \(0.593037\pi\) | |||||||
\(860\) | −21.4255 | − | 9.76028i | −0.730603 | − | 0.332823i | ||||
\(861\) | 31.4907 | + | 11.1728i | 1.07320 | + | 0.380768i | ||||
\(862\) | −24.5507 | − | 38.1620i | −0.836199 | − | 1.29980i | ||||
\(863\) | 4.43745 | − | 2.56196i | 0.151052 | − | 0.0872101i | −0.422569 | − | 0.906331i | \(-0.638872\pi\) |
0.573621 | + | 0.819121i | \(0.305538\pi\) | |||||||
\(864\) | −1.61453 | + | 75.2849i | −0.0549276 | + | 2.56124i | ||||
\(865\) | 14.8852 | − | 25.7819i | 0.506112 | − | 0.876611i | ||||
\(866\) | −10.2155 | + | 19.8382i | −0.347136 | + | 0.674130i | ||||
\(867\) | 21.0250 | + | 21.0250i | 0.714047 | + | 0.714047i | ||||
\(868\) | 25.4177 | + | 14.1043i | 0.862734 | + | 0.478732i | ||||
\(869\) | −10.3376 | + | 10.3376i | −0.350680 | + | 0.350680i | ||||
\(870\) | 25.1713 | − | 8.05948i | 0.853387 | − | 0.273242i | ||||
\(871\) | −6.55607 | − | 3.78515i | −0.222144 | − | 0.128255i | ||||
\(872\) | 11.3903 | + | 26.4952i | 0.385723 | + | 0.897240i | ||||
\(873\) | 16.2472 | + | 28.1410i | 0.549884 | + | 0.952427i | ||||
\(874\) | 5.86364 | + | 1.27266i | 0.198341 | + | 0.0430484i | ||||
\(875\) | 31.4908 | − | 5.81684i | 1.06458 | − | 0.196645i | ||||
\(876\) | 9.15700 | − | 3.42522i | 0.309386 | − | 0.115728i | ||||
\(877\) | −1.07593 | + | 4.01542i | −0.0363316 | + | 0.135591i | −0.981709 | − | 0.190385i | \(-0.939026\pi\) |
0.945378 | + | 0.325976i | \(0.105693\pi\) | |||||||
\(878\) | −3.08488 | + | 0.148409i | −0.104110 | + | 0.00500855i | ||||
\(879\) | −60.5506 | − | 34.9589i | −2.04232 | − | 1.17914i | ||||
\(880\) | 26.7127 | + | 9.18898i | 0.900485 | + | 0.309760i | ||||
\(881\) | − | 27.5375i | − | 0.927761i | −0.885898 | − | 0.463880i | \(-0.846457\pi\) | ||
0.885898 | − | 0.463880i | \(-0.153543\pi\) | |||||||
\(882\) | −28.5271 | − | 65.0320i | −0.960556 | − | 2.18974i | ||||
\(883\) | 32.4922 | − | 32.4922i | 1.09345 | − | 1.09345i | 0.0982911 | − | 0.995158i | \(-0.468662\pi\) |
0.995158 | − | 0.0982911i | \(-0.0313376\pi\) | |||||||
\(884\) | −2.25020 | − | 1.85436i | −0.0756824 | − | 0.0623687i | ||||
\(885\) | −50.7311 | + | 13.5934i | −1.70531 | + | 0.456936i | ||||
\(886\) | −19.6715 | + | 21.6599i | −0.660879 | + | 0.727680i | ||||
\(887\) | −32.4376 | + | 18.7278i | −1.08915 | + | 0.628820i | −0.933349 | − | 0.358969i | \(-0.883128\pi\) |
−0.155798 | + | 0.987789i | \(0.549795\pi\) | |||||||
\(888\) | 6.08706 | + | 41.9155i | 0.204268 | + | 1.40659i | ||||
\(889\) | 30.8738 | − | 44.8637i | 1.03547 | − | 1.50468i | ||||
\(890\) | 17.9369 | + | 3.89309i | 0.601248 | + | 0.130497i | ||||
\(891\) | 19.7692 | − | 73.7795i | 0.662292 | − | 2.47171i | ||||
\(892\) | −32.9491 | − | 46.1783i | −1.10322 | − | 1.54616i | ||||
\(893\) | −5.97807 | + | 1.60182i | −0.200048 | + | 0.0536028i | ||||
\(894\) | −50.3066 | − | 25.9048i | −1.68250 | − | 0.866387i | ||||
\(895\) | −1.11402 | −0.0372376 | ||||||||
\(896\) | 21.0718 | + | 21.2598i | 0.703959 | + | 0.710241i | ||||
\(897\) | −4.27183 | −0.142632 | ||||||||
\(898\) | −40.0327 | − | 20.6144i | −1.33591 | − | 0.687911i | ||||
\(899\) | 16.0601 | − | 4.30328i | 0.535633 | − | 0.143522i | ||||
\(900\) | 10.4339 | + | 14.6232i | 0.347798 | + | 0.487440i | ||||
\(901\) | 4.82518 | − | 18.0078i | 0.160750 | − | 0.599927i | ||||
\(902\) | 19.9625 | + | 4.33271i | 0.664677 | + | 0.144263i | ||||
\(903\) | 22.0635 | + | 46.3289i | 0.734226 | + | 1.54173i | ||||
\(904\) | 7.49402 | + | 51.6038i | 0.249247 | + | 1.71632i | ||||
\(905\) | −0.570051 | + | 0.329119i | −0.0189491 | + | 0.0109403i | ||||
\(906\) | 27.7089 | − | 30.5097i | 0.920566 | − | 1.01362i | ||||
\(907\) | 33.3737 | − | 8.94245i | 1.10815 | − | 0.296929i | 0.342074 | − | 0.939673i | \(-0.388871\pi\) |
0.766081 | + | 0.642744i | \(0.222204\pi\) | |||||||
\(908\) | 9.99241 | + | 8.23460i | 0.331610 | + | 0.273275i | ||||
\(909\) | −68.6533 | + | 68.6533i | −2.27709 | + | 2.27709i | ||||
\(910\) | 2.00725 | − | 3.23986i | 0.0665398 | − | 0.107400i | ||||
\(911\) | 22.9373i | 0.759946i | 0.924998 | + | 0.379973i | \(0.124067\pi\) | ||||
−0.924998 | + | 0.379973i | \(0.875933\pi\) | |||||||
\(912\) | −20.1090 | − | 6.91735i | −0.665876 | − | 0.229056i | ||||
\(913\) | 16.4224 | + | 9.48145i | 0.543501 | + | 0.313790i | ||||
\(914\) | −14.2674 | + | 0.686385i | −0.471925 | + | 0.0227036i | ||||
\(915\) | −0.626867 | + | 2.33950i | −0.0207236 | + | 0.0773414i | ||||
\(916\) | 14.9076 | − | 5.57626i | 0.492560 | − | 0.184245i | ||||
\(917\) | −32.0523 | + | 27.3419i | −1.05846 | + | 0.902909i | ||||
\(918\) | 50.9767 | + | 11.0641i | 1.68248 | + | 0.365171i | ||||
\(919\) | 13.8963 | + | 24.0691i | 0.458396 | + | 0.793966i | 0.998876 | − | 0.0473912i | \(-0.0150907\pi\) |
−0.540480 | + | 0.841357i | \(0.681757\pi\) | |||||||
\(920\) | 5.50487 | + | 12.8050i | 0.181490 | + | 0.422169i | ||||
\(921\) | 32.4398 | + | 18.7291i | 1.06893 | + | 0.617146i | ||||
\(922\) | −26.7660 | + | 8.57007i | −0.881491 | + | 0.282240i | ||||
\(923\) | 3.34312 | − | 3.34312i | 0.110040 | − | 0.110040i | ||||
\(924\) | −31.6866 | − | 52.7895i | −1.04241 | − | 1.73665i | ||||
\(925\) | 4.15676 | + | 4.15676i | 0.136673 | + | 0.136673i | ||||
\(926\) | −6.03358 | + | 11.7171i | −0.198276 | + | 0.385047i | ||||
\(927\) | 45.3707 | − | 78.5844i | 1.49017 | − | 2.58105i | ||||
\(928\) | 17.1171 | + | 0.367088i | 0.561897 | + | 0.0120503i | ||||
\(929\) | 13.2279 | − | 7.63716i | 0.433995 | − | 0.250567i | −0.267052 | − | 0.963682i | \(-0.586050\pi\) |
0.701047 | + | 0.713115i | \(0.252716\pi\) | |||||||
\(930\) | −25.9548 | − | 40.3446i | −0.851092 | − | 1.32295i | ||||
\(931\) | 11.6051 | − | 1.20560i | 0.380341 | − | 0.0395120i | ||||
\(932\) | 0.334794 | + | 0.152514i | 0.0109665 | + | 0.00499575i | ||||
\(933\) | −27.2508 | − | 7.30182i | −0.892150 | − | 0.239051i | ||||
\(934\) | −13.0033 | + | 14.3176i | −0.425480 | + | 0.468488i | ||||
\(935\) | 9.78436 | − | 16.9470i | 0.319983 | − | 0.554227i | ||||
\(936\) | 10.6017 | + | 1.25239i | 0.346529 | + | 0.0409355i | ||||
\(937\) | 18.1308 | 0.592307 | 0.296154 | − | 0.955140i | \(-0.404296\pi\) | ||||
0.296154 | + | 0.955140i | \(0.404296\pi\) | |||||||
\(938\) | 39.2313 | − | 36.8661i | 1.28095 | − | 1.20372i | ||||
\(939\) | −56.4350 | − | 56.4350i | −1.84169 | − | 1.84169i | ||||
\(940\) | −11.0948 | − | 9.14305i | −0.361872 | − | 0.298213i | ||||
\(941\) | 2.24372 | + | 8.37369i | 0.0731433 | + | 0.272974i | 0.992806 | − | 0.119735i | \(-0.0382045\pi\) |
−0.919663 | + | 0.392709i | \(0.871538\pi\) | |||||||
\(942\) | −2.86529 | − | 59.5590i | −0.0933563 | − | 1.94054i | ||||
\(943\) | 5.03943 | + | 8.72855i | 0.164106 | + | 0.284241i | ||||
\(944\) | −33.9401 | − | 2.36311i | −1.10465 | − | 0.0769126i | ||||
\(945\) | −5.39053 | + | 67.9694i | −0.175354 | + | 2.21105i | ||||
\(946\) | 16.9725 | + | 26.3824i | 0.551825 | + | 0.857767i | ||||
\(947\) | −14.8856 | − | 3.98857i | −0.483716 | − | 0.129611i | 0.00871655 | − | 0.999962i | \(-0.497225\pi\) |
−0.492432 | + | 0.870351i | \(0.663892\pi\) | |||||||
\(948\) | 25.2153 | + | 4.21572i | 0.818956 | + | 0.136920i | ||||
\(949\) | −0.208705 | − | 0.778899i | −0.00677486 | − | 0.0252841i | ||||
\(950\) | −2.81091 | + | 0.900011i | −0.0911979 | + | 0.0292002i | ||||
\(951\) | 10.2003i | 0.330768i | ||||||||
\(952\) | 17.2453 | − | 11.5135i | 0.558922 | − | 0.373154i | ||||
\(953\) | 14.4644i | 0.468547i | 0.972171 | + | 0.234273i | \(0.0752711\pi\) | ||||
−0.972171 | + | 0.234273i | \(0.924729\pi\) | |||||||
\(954\) | 20.8138 | + | 65.0054i | 0.673870 | + | 2.10463i | ||||
\(955\) | 2.64890 | + | 9.88585i | 0.0857165 | + | 0.319899i | ||||
\(956\) | −32.0190 | + | 22.8462i | −1.03557 | + | 0.738899i | ||||
\(957\) | −34.0161 | − | 9.11458i | −1.09958 | − | 0.294632i | ||||
\(958\) | 31.4202 | − | 20.2135i | 1.01514 | − | 0.653069i | ||||
\(959\) | −1.49138 | − | 3.13160i | −0.0481592 | − | 0.101125i | ||||
\(960\) | −14.0513 | − | 47.3584i | −0.453505 | − | 1.52849i | ||||
\(961\) | 0.410836 | + | 0.711589i | 0.0132528 | + | 0.0229545i | ||||
\(962\) | 3.48941 | − | 0.167870i | 0.112503 | − | 0.00541235i | ||||
\(963\) | −6.70223 | − | 25.0131i | −0.215976 | − | 0.806035i | ||||
\(964\) | −0.688121 | − | 7.13521i | −0.0221629 | − | 0.229810i | ||||
\(965\) | 23.0980 | + | 23.0980i | 0.743549 | + | 0.743549i | ||||
\(966\) | 8.77031 | − | 29.0849i | 0.282180 | − | 0.935791i | ||||
\(967\) | 53.4246 | 1.71802 | 0.859010 | − | 0.511958i | \(-0.171080\pi\) | ||||
0.859010 | + | 0.511958i | \(0.171080\pi\) | |||||||
\(968\) | −4.04190 | − | 5.12476i | −0.129912 | − | 0.164716i | ||||
\(969\) | −7.36555 | + | 12.7575i | −0.236616 | + | 0.409830i | ||||
\(970\) | −9.18071 | − | 8.33791i | −0.294775 | − | 0.267714i | ||||
\(971\) | 20.7547 | + | 5.56119i | 0.666048 | + | 0.178467i | 0.575974 | − | 0.817468i | \(-0.304623\pi\) |
0.0900743 | + | 0.995935i | \(0.471290\pi\) | |||||||
\(972\) | −50.2959 | + | 18.8134i | −1.61324 | + | 0.603441i | ||||
\(973\) | 57.6842 | − | 10.6552i | 1.84927 | − | 0.341589i | ||||
\(974\) | −38.2804 | + | 24.6268i | −1.22658 | + | 0.789094i | ||||
\(975\) | 1.81979 | − | 1.05066i | 0.0582799 | − | 0.0336479i | ||||
\(976\) | −0.876960 | + | 1.30099i | −0.0280708 | + | 0.0416436i | ||||
\(977\) | −18.0960 | + | 31.3432i | −0.578942 | + | 1.00276i | 0.416659 | + | 0.909063i | \(0.363201\pi\) |
−0.995601 | + | 0.0936944i | \(0.970132\pi\) | |||||||
\(978\) | 1.59120 | + | 0.819369i | 0.0508808 | + | 0.0262005i | ||||
\(979\) | −17.2930 | − | 17.2930i | −0.552687 | − | 0.552687i | ||||
\(980\) | 17.9377 | + | 20.3181i | 0.572999 | + | 0.649037i | ||||
\(981\) | −51.7204 | + | 51.7204i | −1.65130 | + | 1.65130i | ||||
\(982\) | 1.37656 | + | 4.29927i | 0.0439278 | + | 0.137195i | ||||
\(983\) | 31.0312 | + | 17.9159i | 0.989742 | + | 0.571428i | 0.905197 | − | 0.424992i | \(-0.139723\pi\) |
0.0845448 | + | 0.996420i | \(0.473056\pi\) | |||||||
\(984\) | −14.1080 | − | 32.8170i | −0.449748 | − | 1.04617i | ||||
\(985\) | 2.48773 | + | 4.30887i | 0.0792655 | + | 0.137292i | ||||
\(986\) | 2.51559 | − | 11.5903i | 0.0801127 | − | 0.369110i | ||||
\(987\) | 5.69165 | + | 30.8130i | 0.181167 | + | 0.980789i | ||||
\(988\) | −0.727122 | + | 1.59616i | −0.0231328 | + | 0.0507805i | ||||
\(989\) | −4.00606 | + | 14.9508i | −0.127385 | + | 0.475409i | ||||
\(990\) | 3.44276 | + | 71.5626i | 0.109418 | + | 2.27441i | ||||
\(991\) | −41.7865 | − | 24.1254i | −1.32739 | − | 0.766370i | −0.342496 | − | 0.939519i | \(-0.611272\pi\) |
−0.984896 | + | 0.173149i | \(0.944606\pi\) | |||||||
\(992\) | −7.39758 | − | 30.1825i | −0.234873 | − | 0.958295i | ||||
\(993\) | − | 43.7541i | − | 1.38850i | ||||||
\(994\) | 15.8981 | + | 29.6254i | 0.504258 | + | 0.939660i | ||||
\(995\) | −0.997699 | + | 0.997699i | −0.0316292 | + | 0.0316292i | ||||
\(996\) | −3.18322 | − | 33.0073i | −0.100864 | − | 1.04587i | ||||
\(997\) | 26.1554 | − | 7.00832i | 0.828351 | − | 0.221956i | 0.180357 | − | 0.983601i | \(-0.442275\pi\) |
0.647994 | + | 0.761645i | \(0.275608\pi\) | |||||||
\(998\) | 23.8916 | + | 21.6983i | 0.756274 | + | 0.686848i | ||||
\(999\) | −54.1240 | + | 31.2485i | −1.71241 | + | 0.988659i |
(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 | 112.2.v.a.3.2 | ✓ | 56 | |
4.3 | odd | 2 | 448.2.z.a.367.14 | 56 | |||
7.2 | even | 3 | 784.2.w.f.19.8 | 56 | |||
7.3 | odd | 6 | 784.2.j.a.195.23 | 56 | |||
7.4 | even | 3 | 784.2.j.a.195.24 | 56 | |||
7.5 | odd | 6 | inner | 112.2.v.a.19.8 | yes | 56 | |
7.6 | odd | 2 | 784.2.w.f.227.2 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.479.1 | 56 | |||
8.5 | even | 2 | 896.2.z.b.479.14 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.31.14 | 56 | |||
16.5 | even | 4 | 448.2.z.a.143.14 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.59.8 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.31.1 | 56 | |||
28.19 | even | 6 | 448.2.z.a.47.14 | 56 | |||
56.5 | odd | 6 | 896.2.z.b.607.14 | 56 | |||
56.19 | even | 6 | 896.2.z.a.607.1 | 56 | |||
112.5 | odd | 12 | 448.2.z.a.271.14 | 56 | |||
112.11 | odd | 12 | 784.2.j.a.587.23 | 56 | |||
112.19 | even | 12 | 896.2.z.b.159.14 | 56 | |||
112.27 | even | 4 | 784.2.w.f.619.8 | 56 | |||
112.59 | even | 12 | 784.2.j.a.587.24 | 56 | |||
112.61 | odd | 12 | 896.2.z.a.159.1 | 56 | |||
112.75 | even | 12 | inner | 112.2.v.a.75.2 | yes | 56 | |
112.107 | odd | 12 | 784.2.w.f.411.2 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.2 | ✓ | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.19.8 | yes | 56 | 7.5 | odd | 6 | inner | |
112.2.v.a.59.8 | yes | 56 | 16.11 | odd | 4 | inner | |
112.2.v.a.75.2 | yes | 56 | 112.75 | even | 12 | inner | |
448.2.z.a.47.14 | 56 | 28.19 | even | 6 | |||
448.2.z.a.143.14 | 56 | 16.5 | even | 4 | |||
448.2.z.a.271.14 | 56 | 112.5 | odd | 12 | |||
448.2.z.a.367.14 | 56 | 4.3 | odd | 2 | |||
784.2.j.a.195.23 | 56 | 7.3 | odd | 6 | |||
784.2.j.a.195.24 | 56 | 7.4 | even | 3 | |||
784.2.j.a.587.23 | 56 | 112.11 | odd | 12 | |||
784.2.j.a.587.24 | 56 | 112.59 | even | 12 | |||
784.2.w.f.19.8 | 56 | 7.2 | even | 3 | |||
784.2.w.f.227.2 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.411.2 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.619.8 | 56 | 112.27 | even | 4 | |||
896.2.z.a.31.1 | 56 | 16.13 | even | 4 | |||
896.2.z.a.159.1 | 56 | 112.61 | odd | 12 | |||
896.2.z.a.479.1 | 56 | 8.3 | odd | 2 | |||
896.2.z.a.607.1 | 56 | 56.19 | even | 6 | |||
896.2.z.b.31.14 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.159.14 | 56 | 112.19 | even | 12 | |||
896.2.z.b.479.14 | 56 | 8.5 | even | 2 | |||
896.2.z.b.607.14 | 56 | 56.5 | odd | 6 |