Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [242,2,Mod(5,242)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(242, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([74]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("242.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 242 = 2 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 242.g (of order \(55\), degree \(40\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.93237972891\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 15.2 | ||
Character | \(\chi\) | \(=\) | 242.15 |
Dual form | 242.2.g.a.113.2 |
$q$-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 \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).
\(n\) | \(123\) |
\(\chi(n)\) | \(e\left(\frac{26}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0855750 | − | 0.996332i | −0.0605107 | − | 0.704513i | ||||
\(3\) | −0.287239 | + | 0.884029i | −0.165837 | + | 0.510395i | −0.999097 | − | 0.0424871i | \(-0.986472\pi\) |
0.833260 | + | 0.552882i | \(0.186472\pi\) | |||||||
\(4\) | −0.985354 | + | 0.170522i | −0.492677 | + | 0.0852611i | ||||
\(5\) | 1.80964 | − | 0.103479i | 0.809296 | − | 0.0462772i | 0.352458 | − | 0.935827i | \(-0.385346\pi\) |
0.456837 | + | 0.889550i | \(0.348982\pi\) | |||||||
\(6\) | 0.905367 | + | 0.210534i | 0.369615 | + | 0.0859502i | ||||
\(7\) | −2.83890 | − | 4.15177i | −1.07301 | − | 1.56922i | −0.793000 | − | 0.609221i | \(-0.791482\pi\) |
−0.280005 | − | 0.959999i | \(-0.590336\pi\) | |||||||
\(8\) | 0.254218 | + | 0.967147i | 0.0898798 | + | 0.341938i | ||||
\(9\) | 1.72805 | + | 1.25550i | 0.576016 | + | 0.418500i | ||||
\(10\) | −0.257959 | − | 1.79415i | −0.0815739 | − | 0.567359i | ||||
\(11\) | 3.24976 | − | 0.662625i | 0.979839 | − | 0.199789i | ||||
\(12\) | 0.132285 | − | 0.920062i | 0.0381874 | − | 0.265599i | ||||
\(13\) | 4.05093 | − | 4.16831i | 1.12353 | − | 1.15608i | 0.137324 | − | 0.990526i | \(-0.456150\pi\) |
0.986201 | − | 0.165554i | \(-0.0529412\pi\) | |||||||
\(14\) | −3.89360 | + | 3.18378i | −1.04061 | + | 0.850900i | ||||
\(15\) | −0.428320 | + | 1.62950i | −0.110592 | + | 0.420735i | ||||
\(16\) | 0.941844 | − | 0.336049i | 0.235461 | − | 0.0840123i | ||||
\(17\) | −0.459964 | − | 0.259754i | −0.111558 | − | 0.0629995i | 0.434944 | − | 0.900457i | \(-0.356768\pi\) |
−0.546502 | + | 0.837458i | \(0.684041\pi\) | |||||||
\(18\) | 1.10302 | − | 1.82915i | 0.259984 | − | 0.431135i | ||||
\(19\) | 2.83640 | + | 2.60322i | 0.650715 | + | 0.597220i | 0.932024 | − | 0.362397i | \(-0.118041\pi\) |
−0.281309 | + | 0.959617i | \(0.590769\pi\) | |||||||
\(20\) | −1.76549 | + | 0.410547i | −0.394776 | + | 0.0918011i | ||||
\(21\) | 4.48573 | − | 1.31713i | 0.978866 | − | 0.287421i | ||||
\(22\) | −0.938292 | − | 3.18113i | −0.200045 | − | 0.678220i | ||||
\(23\) | −4.61864 | − | 1.35616i | −0.963054 | − | 0.282778i | −0.237842 | − | 0.971304i | \(-0.576440\pi\) |
−0.725212 | + | 0.688526i | \(0.758258\pi\) | |||||||
\(24\) | −0.928008 | − | 0.0530654i | −0.189429 | − | 0.0108319i | ||||
\(25\) | −1.70332 | + | 0.195438i | −0.340664 | + | 0.0390875i | ||||
\(26\) | −4.49967 | − | 3.67936i | −0.882459 | − | 0.721583i | ||||
\(27\) | −3.86226 | + | 2.80610i | −0.743293 | + | 0.540034i | ||||
\(28\) | 3.50529 | + | 3.60686i | 0.662438 | + | 0.681633i | ||||
\(29\) | 3.97584 | + | 0.456186i | 0.738296 | + | 0.0847115i | 0.474978 | − | 0.879998i | \(-0.342456\pi\) |
0.263318 | + | 0.964709i | \(0.415183\pi\) | |||||||
\(30\) | 1.66017 | + | 0.287304i | 0.303105 | + | 0.0524544i | ||||
\(31\) | 0.568180 | − | 1.07682i | 0.102048 | − | 0.193403i | −0.828106 | − | 0.560571i | \(-0.810582\pi\) |
0.930155 | + | 0.367168i | \(0.119673\pi\) | |||||||
\(32\) | −0.415415 | − | 0.909632i | −0.0734357 | − | 0.160802i | ||||
\(33\) | −0.347676 | + | 3.06321i | −0.0605226 | + | 0.533237i | ||||
\(34\) | −0.219439 | + | 0.480505i | −0.0376335 | + | 0.0824059i | ||||
\(35\) | −5.56702 | − | 7.21943i | −0.940997 | − | 1.22031i | ||||
\(36\) | −1.91683 | − | 0.942442i | −0.319472 | − | 0.157074i | ||||
\(37\) | −3.87053 | + | 1.90301i | −0.636312 | + | 0.312853i | −0.730717 | − | 0.682680i | \(-0.760814\pi\) |
0.0944054 | + | 0.995534i | \(0.469905\pi\) | |||||||
\(38\) | 2.35095 | − | 3.04877i | 0.381374 | − | 0.494575i | ||||
\(39\) | 2.52132 | + | 4.77844i | 0.403735 | + | 0.765162i | ||||
\(40\) | 0.560123 | + | 1.72388i | 0.0885632 | + | 0.272570i | ||||
\(41\) | −2.98098 | + | 1.25977i | −0.465551 | + | 0.196743i | −0.609411 | − | 0.792855i | \(-0.708594\pi\) |
0.143860 | + | 0.989598i | \(0.454049\pi\) | |||||||
\(42\) | −1.69616 | − | 4.35656i | −0.261724 | − | 0.672231i | ||||
\(43\) | −7.03602 | + | 4.52178i | −1.07298 | + | 0.689564i | −0.952926 | − | 0.303203i | \(-0.901944\pi\) |
−0.120057 | + | 0.992767i | \(0.538308\pi\) | |||||||
\(44\) | −3.08917 | + | 1.20708i | −0.465710 | + | 0.181974i | ||||
\(45\) | 3.25706 | + | 2.09319i | 0.485535 | + | 0.312034i | ||||
\(46\) | −0.955941 | + | 4.71775i | −0.140946 | + | 0.695595i | ||||
\(47\) | −0.836022 | − | 1.38639i | −0.121946 | − | 0.202225i | 0.789385 | − | 0.613898i | \(-0.210399\pi\) |
−0.911332 | + | 0.411672i | \(0.864945\pi\) | |||||||
\(48\) | 0.0265435 | + | 0.929144i | 0.00383123 | + | 0.134110i | ||||
\(49\) | −6.63812 | + | 17.0499i | −0.948303 | + | 2.43570i | ||||
\(50\) | 0.340482 | + | 1.68035i | 0.0481515 | + | 0.237637i | ||||
\(51\) | 0.361749 | − | 0.332010i | 0.0506550 | − | 0.0464908i | ||||
\(52\) | −3.28081 | + | 4.79803i | −0.454966 | + | 0.665367i | ||||
\(53\) | 8.15578 | + | 2.90998i | 1.12028 | + | 0.399716i | 0.830300 | − | 0.557316i | \(-0.188169\pi\) |
0.289982 | + | 0.957032i | \(0.406351\pi\) | |||||||
\(54\) | 3.12632 | + | 3.60796i | 0.425438 | + | 0.490982i | ||||
\(55\) | 5.81233 | − | 1.53539i | 0.783734 | − | 0.207032i | ||||
\(56\) | 3.29367 | − | 3.80109i | 0.440135 | − | 0.507942i | ||||
\(57\) | −3.11605 | + | 1.75971i | −0.412731 | + | 0.233080i | ||||
\(58\) | 0.114279 | − | 4.00030i | 0.0150056 | − | 0.525265i | ||||
\(59\) | 8.50646 | + | 3.59486i | 1.10745 | + | 0.468011i | 0.864806 | − | 0.502106i | \(-0.167441\pi\) |
0.242640 | + | 0.970116i | \(0.421987\pi\) | |||||||
\(60\) | 0.144181 | − | 1.67867i | 0.0186137 | − | 0.216715i | ||||
\(61\) | −0.0888314 | + | 1.03425i | −0.0113737 | + | 0.132422i | −0.999816 | − | 0.0191751i | \(-0.993896\pi\) |
0.988442 | + | 0.151597i | \(0.0484415\pi\) | |||||||
\(62\) | −1.12149 | − | 0.473946i | −0.142430 | − | 0.0601913i | ||||
\(63\) | 0.306780 | − | 10.7387i | 0.0386506 | − | 1.35295i | ||||
\(64\) | −0.870746 | + | 0.491733i | −0.108843 | + | 0.0614666i | ||||
\(65\) | 6.89939 | − | 7.96232i | 0.855764 | − | 0.987604i | ||||
\(66\) | 3.08173 | + | 0.0842662i | 0.379335 | + | 0.0103725i | ||||
\(67\) | 0.181634 | + | 0.209617i | 0.0221902 | + | 0.0256088i | 0.766736 | − | 0.641962i | \(-0.221879\pi\) |
−0.744546 | + | 0.667571i | \(0.767334\pi\) | |||||||
\(68\) | 0.497521 | + | 0.177515i | 0.0603333 | + | 0.0215269i | ||||
\(69\) | 2.52553 | − | 3.69348i | 0.304039 | − | 0.444642i | ||||
\(70\) | −6.71655 | + | 6.16440i | −0.802782 | + | 0.736786i | ||||
\(71\) | 0.665199 | + | 3.28289i | 0.0789446 | + | 0.389607i | 1.00000 | 0.000175274i | \(5.57915e-5\pi\) | |
−0.921055 | + | 0.389432i | \(0.872671\pi\) | |||||||
\(72\) | −0.774952 | + | 1.99045i | −0.0913290 | + | 0.234577i | ||||
\(73\) | 0.415022 | + | 14.5277i | 0.0485747 | + | 1.70034i | 0.550024 | + | 0.835149i | \(0.314618\pi\) |
−0.501450 | + | 0.865187i | \(0.667200\pi\) | |||||||
\(74\) | 2.22725 | + | 3.69348i | 0.258913 | + | 0.429359i | ||||
\(75\) | 0.316486 | − | 1.56192i | 0.0365447 | − | 0.180355i | ||||
\(76\) | −3.23876 | − | 2.08143i | −0.371512 | − | 0.238756i | ||||
\(77\) | −11.9768 | − | 11.6111i | −1.36488 | − | 1.32321i | ||||
\(78\) | 4.54515 | − | 2.92099i | 0.514637 | − | 0.330737i | ||||
\(79\) | −2.64519 | − | 6.79411i | −0.297607 | − | 0.764398i | −0.998683 | − | 0.0513107i | \(-0.983660\pi\) |
0.701076 | − | 0.713087i | \(-0.252704\pi\) | |||||||
\(80\) | 1.66963 | − | 0.705590i | 0.186670 | − | 0.0788873i | ||||
\(81\) | 0.608885 | + | 1.87396i | 0.0676539 | + | 0.208217i | ||||
\(82\) | 1.51025 | + | 2.86224i | 0.166779 | + | 0.316082i | ||||
\(83\) | 6.22006 | − | 8.06632i | 0.682740 | − | 0.885393i | −0.315234 | − | 0.949014i | \(-0.602083\pi\) |
0.997974 | + | 0.0636206i | \(0.0202647\pi\) | |||||||
\(84\) | −4.19543 | + | 2.06275i | −0.457759 | + | 0.225065i | ||||
\(85\) | −0.859248 | − | 0.422464i | −0.0931986 | − | 0.0458226i | ||||
\(86\) | 5.10730 | + | 6.62326i | 0.550734 | + | 0.714204i | ||||
\(87\) | −1.54530 | + | 3.38373i | −0.165673 | + | 0.362774i | ||||
\(88\) | 1.46700 | + | 2.97454i | 0.156383 | + | 0.317087i | ||||
\(89\) | −4.28407 | − | 9.38081i | −0.454111 | − | 0.994364i | −0.988791 | − | 0.149309i | \(-0.952295\pi\) |
0.534680 | − | 0.845055i | \(-0.320432\pi\) | |||||||
\(90\) | 1.80679 | − | 3.42424i | 0.190452 | − | 0.360947i | ||||
\(91\) | −28.8060 | − | 4.98508i | −3.01969 | − | 0.522578i | ||||
\(92\) | 4.78225 | + | 0.548712i | 0.498584 | + | 0.0572072i | ||||
\(93\) | 0.788737 | + | 0.811592i | 0.0817883 | + | 0.0841581i | ||||
\(94\) | −1.30976 | + | 0.951596i | −0.135091 | + | 0.0981496i | ||||
\(95\) | 5.40224 | + | 4.41739i | 0.554258 | + | 0.453215i | ||||
\(96\) | 0.923465 | − | 0.105958i | 0.0942507 | − | 0.0108143i | ||||
\(97\) | 8.26657 | + | 0.472700i | 0.839343 | + | 0.0479954i | 0.471472 | − | 0.881881i | \(-0.343723\pi\) |
0.367872 | + | 0.929877i | \(0.380087\pi\) | |||||||
\(98\) | 17.5554 | + | 5.15473i | 1.77336 | + | 0.520706i | ||||
\(99\) | 6.44767 | + | 2.93503i | 0.648015 | + | 0.294981i | ||||
\(100\) | 1.64505 | − | 0.483029i | 0.164505 | − | 0.0483029i | ||||
\(101\) | −15.4918 | + | 3.60246i | −1.54149 | + | 0.358458i | −0.909229 | − | 0.416296i | \(-0.863328\pi\) |
−0.632262 | + | 0.774754i | \(0.717873\pi\) | |||||||
\(102\) | −0.361749 | − | 0.332010i | −0.0358185 | − | 0.0328739i | ||||
\(103\) | −8.26465 | + | 13.7054i | −0.814340 | + | 1.35043i | 0.119534 | + | 0.992830i | \(0.461860\pi\) |
−0.933874 | + | 0.357601i | \(0.883595\pi\) | |||||||
\(104\) | 5.06118 | + | 2.85818i | 0.496290 | + | 0.280268i | ||||
\(105\) | 7.98125 | − | 2.84771i | 0.778891 | − | 0.277908i | ||||
\(106\) | 2.20137 | − | 8.37488i | 0.213816 | − | 0.813440i | ||||
\(107\) | −6.84331 | + | 5.59575i | −0.661568 | + | 0.540961i | −0.903099 | − | 0.429432i | \(-0.858714\pi\) |
0.241532 | + | 0.970393i | \(0.422350\pi\) | |||||||
\(108\) | 3.32719 | − | 3.42360i | 0.320159 | − | 0.329436i | ||||
\(109\) | 0.596895 | − | 4.15150i | 0.0571722 | − | 0.397641i | −0.941062 | − | 0.338235i | \(-0.890170\pi\) |
0.998234 | − | 0.0594064i | \(-0.0189208\pi\) | |||||||
\(110\) | −2.02715 | − | 5.65961i | −0.193281 | − | 0.539623i | ||||
\(111\) | −0.570553 | − | 3.96828i | −0.0541545 | − | 0.376653i | ||||
\(112\) | −4.06900 | − | 2.95630i | −0.384485 | − | 0.279345i | ||||
\(113\) | −2.62244 | − | 9.97681i | −0.246699 | − | 0.938539i | −0.969020 | − | 0.246982i | \(-0.920561\pi\) |
0.722321 | − | 0.691557i | \(-0.243075\pi\) | |||||||
\(114\) | 2.01992 | + | 2.95403i | 0.189182 | + | 0.276670i | ||||
\(115\) | −8.49842 | − | 1.97622i | −0.792481 | − | 0.184284i | ||||
\(116\) | −3.99540 | + | 0.228465i | −0.370964 | + | 0.0212125i | ||||
\(117\) | 12.2335 | − | 2.11709i | 1.13099 | − | 0.195725i | ||||
\(118\) | 2.85373 | − | 8.78288i | 0.262707 | − | 0.808530i | ||||
\(119\) | 0.227358 | + | 2.64708i | 0.0208418 | + | 0.242657i | ||||
\(120\) | −1.68485 | −0.153805 | ||||||||
\(121\) | 10.1219 | − | 4.30674i | 0.920169 | − | 0.391522i | ||||
\(122\) | 1.03805 | 0.0939809 | ||||||||
\(123\) | −0.257424 | − | 2.99713i | −0.0232111 | − | 0.270242i | ||||
\(124\) | −0.376236 | + | 1.15794i | −0.0337870 | + | 0.103986i | ||||
\(125\) | −11.9924 | + | 2.07537i | −1.07263 | + | 0.185627i | ||||
\(126\) | −10.7256 | + | 0.613310i | −0.955509 | + | 0.0546380i | ||||
\(127\) | −4.20638 | − | 0.978152i | −0.373256 | − | 0.0867969i | 0.0356723 | − | 0.999364i | \(-0.488643\pi\) |
−0.408928 | + | 0.912567i | \(0.634097\pi\) | |||||||
\(128\) | 0.564443 | + | 0.825472i | 0.0498902 | + | 0.0729621i | ||||
\(129\) | −1.97637 | − | 7.51888i | −0.174009 | − | 0.662000i | ||||
\(130\) | −8.52353 | − | 6.19270i | −0.747563 | − | 0.543136i | ||||
\(131\) | −1.56180 | − | 10.8626i | −0.136455 | − | 0.949068i | −0.936884 | − | 0.349640i | \(-0.886304\pi\) |
0.800429 | − | 0.599428i | \(-0.204605\pi\) | |||||||
\(132\) | −0.179762 | − | 3.07764i | −0.0156463 | − | 0.267874i | ||||
\(133\) | 2.75571 | − | 19.1664i | 0.238950 | − | 1.66193i | ||||
\(134\) | 0.193305 | − | 0.198906i | 0.0166990 | − | 0.0171829i | ||||
\(135\) | −6.69893 | + | 5.47769i | −0.576552 | + | 0.471445i | ||||
\(136\) | 0.134289 | − | 0.510887i | 0.0115152 | − | 0.0438082i | ||||
\(137\) | 13.8811 | − | 4.95278i | 1.18594 | − | 0.423144i | 0.331885 | − | 0.943320i | \(-0.392315\pi\) |
0.854059 | + | 0.520176i | \(0.174134\pi\) | |||||||
\(138\) | −3.89605 | − | 2.20020i | −0.331654 | − | 0.187294i | ||||
\(139\) | −3.08617 | + | 5.11783i | −0.261765 | + | 0.434089i | −0.959270 | − | 0.282491i | \(-0.908839\pi\) |
0.697505 | + | 0.716580i | \(0.254294\pi\) | |||||||
\(140\) | 6.71655 | + | 6.16440i | 0.567652 | + | 0.520987i | ||||
\(141\) | 1.46574 | − | 0.340844i | 0.123438 | − | 0.0287043i | ||||
\(142\) | 3.21392 | − | 0.943692i | 0.269706 | − | 0.0791928i | ||||
\(143\) | 10.4025 | − | 16.2302i | 0.869902 | − | 1.35724i | ||||
\(144\) | 2.04946 | + | 0.601777i | 0.170789 | + | 0.0501481i | ||||
\(145\) | 7.24205 | + | 0.414116i | 0.601420 | + | 0.0343904i | ||||
\(146\) | 14.4389 | − | 1.65671i | 1.19497 | − | 0.137110i | ||||
\(147\) | −13.1659 | − | 10.7657i | −1.08590 | − | 0.887938i | ||||
\(148\) | 3.48934 | − | 2.53515i | 0.286822 | − | 0.208388i | ||||
\(149\) | −6.83741 | − | 7.03553i | −0.560143 | − | 0.576373i | 0.376607 | − | 0.926373i | \(-0.377091\pi\) |
−0.936750 | + | 0.350000i | \(0.886182\pi\) | |||||||
\(150\) | −1.58328 | − | 0.181664i | −0.129274 | − | 0.0148328i | ||||
\(151\) | 21.8990 | + | 3.78977i | 1.78212 | + | 0.308407i | 0.963853 | − | 0.266436i | \(-0.0858459\pi\) |
0.818264 | + | 0.574843i | \(0.194937\pi\) | |||||||
\(152\) | −1.79663 | + | 3.40500i | −0.145726 | + | 0.276182i | ||||
\(153\) | −0.468719 | − | 1.02635i | −0.0378937 | − | 0.0829757i | ||||
\(154\) | −10.5436 | + | 12.9265i | −0.849627 | + | 1.04165i | ||||
\(155\) | 0.916772 | − | 2.00745i | 0.0736369 | − | 0.161242i | ||||
\(156\) | −3.29922 | − | 4.27851i | −0.264149 | − | 0.342555i | ||||
\(157\) | 14.0775 | + | 6.92144i | 1.12351 | + | 0.552391i | 0.905835 | − | 0.423631i | \(-0.139245\pi\) |
0.217672 | + | 0.976022i | \(0.430154\pi\) | |||||||
\(158\) | −6.54283 | + | 3.21689i | −0.520520 | + | 0.255922i | ||||
\(159\) | −4.91516 | + | 6.37409i | −0.389797 | + | 0.505498i | ||||
\(160\) | −0.845879 | − | 1.60312i | −0.0668726 | − | 0.126738i | ||||
\(161\) | 7.48144 | + | 23.0255i | 0.589620 | + | 1.81467i | ||||
\(162\) | 1.81498 | − | 0.767016i | 0.142598 | − | 0.0602624i | ||||
\(163\) | 2.11941 | + | 5.44367i | 0.166005 | + | 0.426381i | 0.990152 | − | 0.139995i | \(-0.0447086\pi\) |
−0.824147 | + | 0.566376i | \(0.808345\pi\) | |||||||
\(164\) | 2.72250 | − | 1.74965i | 0.212592 | − | 0.136624i | ||||
\(165\) | −0.312190 | + | 5.57929i | −0.0243040 | + | 0.434347i | ||||
\(166\) | −8.56901 | − | 5.50697i | −0.665084 | − | 0.427424i | ||||
\(167\) | −2.85955 | + | 14.1125i | −0.221279 | + | 1.09205i | 0.703250 | + | 0.710943i | \(0.251732\pi\) |
−0.924529 | + | 0.381112i | \(0.875541\pi\) | |||||||
\(168\) | 2.41421 | + | 4.00352i | 0.186260 | + | 0.308878i | ||||
\(169\) | −0.593531 | − | 20.7763i | −0.0456563 | − | 1.59818i | ||||
\(170\) | −0.347384 | + | 0.892249i | −0.0266431 | + | 0.0684324i | ||||
\(171\) | 1.63309 | + | 8.05960i | 0.124885 | + | 0.616333i | ||||
\(172\) | 6.16191 | − | 5.65535i | 0.469841 | − | 0.431216i | ||||
\(173\) | 5.36860 | − | 7.85133i | 0.408167 | − | 0.596926i | −0.565542 | − | 0.824719i | \(-0.691333\pi\) |
0.973709 | + | 0.227794i | \(0.0731512\pi\) | |||||||
\(174\) | 3.50356 | + | 1.25007i | 0.265604 | + | 0.0947673i | ||||
\(175\) | 5.64697 | + | 6.51695i | 0.426871 | + | 0.492635i | ||||
\(176\) | 2.83809 | − | 1.71617i | 0.213929 | − | 0.129361i | ||||
\(177\) | −5.62134 | + | 6.48738i | −0.422526 | + | 0.487621i | ||||
\(178\) | −8.97979 | + | 5.07112i | −0.673063 | + | 0.380096i | ||||
\(179\) | −0.626779 | + | 21.9401i | −0.0468476 | + | 1.63988i | 0.548312 | + | 0.836274i | \(0.315271\pi\) |
−0.595160 | + | 0.803607i | \(0.702911\pi\) | |||||||
\(180\) | −3.56630 | − | 1.50713i | −0.265816 | − | 0.112335i | ||||
\(181\) | −0.556999 | + | 6.48502i | −0.0414014 | + | 0.482027i | 0.946041 | + | 0.324047i | \(0.105044\pi\) |
−0.987442 | + | 0.157980i | \(0.949502\pi\) | |||||||
\(182\) | −2.50172 | + | 29.1270i | −0.185440 | + | 2.15903i | ||||
\(183\) | −0.888787 | − | 0.375605i | −0.0657010 | − | 0.0277655i | ||||
\(184\) | 0.137458 | − | 4.81167i | 0.0101336 | − | 0.354721i | ||||
\(185\) | −6.80735 | + | 3.84429i | −0.500486 | + | 0.282638i | ||||
\(186\) | 0.741118 | − | 0.855296i | 0.0543414 | − | 0.0627134i | ||||
\(187\) | −1.66689 | − | 0.539353i | −0.121895 | − | 0.0394414i | ||||
\(188\) | 1.06019 | + | 1.22352i | 0.0773221 | + | 0.0892345i | ||||
\(189\) | 22.6149 | + | 8.06897i | 1.64499 | + | 0.586931i | ||||
\(190\) | 3.93889 | − | 5.76044i | 0.285757 | − | 0.417906i | ||||
\(191\) | 11.7198 | − | 10.7563i | 0.848013 | − | 0.778300i | −0.128962 | − | 0.991649i | \(-0.541165\pi\) |
0.976976 | + | 0.213350i | \(0.0684374\pi\) | |||||||
\(192\) | −0.184595 | − | 0.911010i | −0.0133220 | − | 0.0657465i | ||||
\(193\) | −7.81030 | + | 20.0606i | −0.562198 | + | 1.44399i | 0.308046 | + | 0.951372i | \(0.400325\pi\) |
−0.870244 | + | 0.492622i | \(0.836039\pi\) | |||||||
\(194\) | −0.236446 | − | 8.27670i | −0.0169759 | − | 0.594232i | ||||
\(195\) | 5.05715 | + | 8.38635i | 0.362150 | + | 0.600559i | ||||
\(196\) | 3.63352 | − | 17.9321i | 0.259537 | − | 1.28087i | ||||
\(197\) | −8.03377 | − | 5.16299i | −0.572382 | − | 0.367848i | 0.222203 | − | 0.975000i | \(-0.428675\pi\) |
−0.794585 | + | 0.607153i | \(0.792312\pi\) | |||||||
\(198\) | 2.37250 | − | 6.67518i | 0.168606 | − | 0.474384i | ||||
\(199\) | −20.3736 | + | 13.0933i | −1.44424 | + | 0.928160i | −0.444773 | + | 0.895643i | \(0.646716\pi\) |
−0.999471 | + | 0.0325164i | \(0.989648\pi\) | |||||||
\(200\) | −0.622032 | − | 1.59768i | −0.0439843 | − | 0.112973i | ||||
\(201\) | −0.237480 | + | 0.100360i | −0.0167506 | + | 0.00707885i | ||||
\(202\) | 4.91496 | + | 15.1267i | 0.345815 | + | 1.06431i | ||||
\(203\) | −9.39306 | − | 17.8018i | −0.659264 | − | 1.24944i | ||||
\(204\) | −0.299836 | + | 0.388834i | −0.0209927 | + | 0.0272238i | ||||
\(205\) | −5.26414 | + | 2.58820i | −0.367664 | + | 0.180768i | ||||
\(206\) | 14.3624 | + | 7.06150i | 1.00067 | + | 0.491998i | ||||
\(207\) | −6.27859 | − | 8.14221i | −0.436392 | − | 0.565923i | ||||
\(208\) | 2.41459 | − | 5.28721i | 0.167421 | − | 0.366602i | ||||
\(209\) | 10.9426 | + | 6.58038i | 0.756914 | + | 0.455174i | ||||
\(210\) | −3.52026 | − | 7.70828i | −0.242921 | − | 0.531922i | ||||
\(211\) | 12.3391 | − | 23.3851i | 0.849457 | − | 1.60990i | 0.0582900 | − | 0.998300i | \(-0.481435\pi\) |
0.791167 | − | 0.611600i | \(-0.209474\pi\) | |||||||
\(212\) | −8.53254 | − | 1.47661i | −0.586017 | − | 0.101414i | ||||
\(213\) | −3.09324 | − | 0.354916i | −0.211945 | − | 0.0243184i | ||||
\(214\) | 6.16084 | + | 6.33935i | 0.421146 | + | 0.433349i | ||||
\(215\) | −12.2648 | + | 8.91087i | −0.836449 | + | 0.607716i | ||||
\(216\) | −3.69577 | − | 3.02201i | −0.251465 | − | 0.205622i | ||||
\(217\) | −6.08371 | + | 0.698041i | −0.412989 | + | 0.0473861i | ||||
\(218\) | −4.18735 | − | 0.239441i | −0.283603 | − | 0.0162170i | ||||
\(219\) | −12.9621 | − | 3.80602i | −0.875898 | − | 0.257187i | ||||
\(220\) | −5.46538 | + | 2.50404i | −0.368476 | + | 0.168822i | ||||
\(221\) | −2.94601 | + | 0.865028i | −0.198170 | + | 0.0581880i | ||||
\(222\) | −3.90490 | + | 0.908046i | −0.262080 | + | 0.0609441i | ||||
\(223\) | −3.81397 | − | 3.50043i | −0.255403 | − | 0.234406i | 0.538239 | − | 0.842793i | \(-0.319090\pi\) |
−0.793641 | + | 0.608386i | \(0.791817\pi\) | |||||||
\(224\) | −2.59726 | + | 4.30706i | −0.173536 | + | 0.287778i | ||||
\(225\) | −3.18879 | − | 1.80079i | −0.212586 | − | 0.120053i | ||||
\(226\) | −9.71580 | + | 3.46659i | −0.646285 | + | 0.230594i | ||||
\(227\) | 0.306105 | − | 1.16454i | 0.0203169 | − | 0.0772935i | −0.956216 | − | 0.292662i | \(-0.905459\pi\) |
0.976533 | + | 0.215369i | \(0.0690953\pi\) | |||||||
\(228\) | 2.77034 | − | 2.26530i | 0.183470 | − | 0.150023i | ||||
\(229\) | −8.21754 | + | 8.45565i | −0.543030 | + | 0.558765i | −0.931987 | − | 0.362491i | \(-0.881926\pi\) |
0.388957 | + | 0.921256i | \(0.372835\pi\) | |||||||
\(230\) | −1.24172 | + | 8.63636i | −0.0818766 | + | 0.569464i | ||||
\(231\) | 13.7048 | − | 7.25270i | 0.901707 | − | 0.477193i | ||||
\(232\) | 0.569534 | + | 3.96120i | 0.0373917 | + | 0.260065i | ||||
\(233\) | 2.04237 | + | 1.48387i | 0.133800 | + | 0.0972115i | 0.652672 | − | 0.757640i | \(-0.273648\pi\) |
−0.518872 | + | 0.854852i | \(0.673648\pi\) | |||||||
\(234\) | −3.15621 | − | 12.0075i | −0.206328 | − | 0.784953i | ||||
\(235\) | −1.65636 | − | 2.42235i | −0.108049 | − | 0.158017i | ||||
\(236\) | −8.99488 | − | 2.09167i | −0.585516 | − | 0.136156i | ||||
\(237\) | 6.76600 | − | 0.386894i | 0.439499 | − | 0.0251315i | ||||
\(238\) | 2.61791 | − | 0.453047i | 0.169694 | − | 0.0293667i | ||||
\(239\) | 2.46617 | − | 7.59010i | 0.159524 | − | 0.490963i | −0.839068 | − | 0.544027i | \(-0.816899\pi\) |
0.998591 | + | 0.0530642i | \(0.0168988\pi\) | |||||||
\(240\) | 0.144181 | + | 1.67867i | 0.00930685 | + | 0.108358i | ||||
\(241\) | −7.89302 | −0.508434 | −0.254217 | − | 0.967147i | \(-0.581818\pi\) | ||||
−0.254217 | + | 0.967147i | \(0.581818\pi\) | |||||||
\(242\) | −5.15712 | − | 9.71618i | −0.331512 | − | 0.624580i | ||||
\(243\) | −16.1536 | −1.03625 | ||||||||
\(244\) | −0.0888314 | − | 1.03425i | −0.00568685 | − | 0.0662108i | ||||
\(245\) | −10.2483 | + | 31.5411i | −0.654741 | + | 2.01508i | ||||
\(246\) | −2.96411 | + | 0.512959i | −0.188984 | + | 0.0327051i | ||||
\(247\) | 22.3411 | − | 1.27751i | 1.42153 | − | 0.0812860i | ||||
\(248\) | 1.18588 | + | 0.275766i | 0.0753038 | + | 0.0175111i | ||||
\(249\) | 5.34422 | + | 7.81567i | 0.338676 | + | 0.495298i | ||||
\(250\) | 3.09401 | + | 11.7708i | 0.195682 | + | 0.744452i | ||||
\(251\) | 19.4350 | + | 14.1204i | 1.22673 | + | 0.891270i | 0.996641 | − | 0.0819002i | \(-0.0260989\pi\) |
0.230087 | + | 0.973170i | \(0.426099\pi\) | |||||||
\(252\) | 1.52890 | + | 10.6337i | 0.0963117 | + | 0.669862i | ||||
\(253\) | −15.9081 | − | 1.34675i | −1.00013 | − | 0.0846695i | ||||
\(254\) | −0.614603 | + | 4.27465i | −0.0385636 | + | 0.268216i | ||||
\(255\) | 0.620280 | − | 0.638253i | 0.0388434 | − | 0.0399689i | ||||
\(256\) | 0.774142 | − | 0.633012i | 0.0483839 | − | 0.0395633i | ||||
\(257\) | 4.00661 | − | 15.2427i | 0.249925 | − | 0.950815i | −0.717273 | − | 0.696792i | \(-0.754610\pi\) |
0.967198 | − | 0.254023i | \(-0.0817537\pi\) | |||||||
\(258\) | −7.32217 | + | 2.61254i | −0.455858 | + | 0.162650i | ||||
\(259\) | 18.8889 | + | 10.6671i | 1.17370 | + | 0.662820i | ||||
\(260\) | −5.44059 | + | 9.02220i | −0.337411 | + | 0.559533i | ||||
\(261\) | 6.29771 | + | 5.77999i | 0.389819 | + | 0.357772i | ||||
\(262\) | −10.6891 | + | 2.48564i | −0.660374 | + | 0.153563i | ||||
\(263\) | 26.9792 | − | 7.92180i | 1.66361 | − | 0.488479i | 0.691374 | − | 0.722497i | \(-0.257006\pi\) |
0.972232 | + | 0.234018i | \(0.0751874\pi\) | |||||||
\(264\) | −3.05096 | + | 0.442471i | −0.187774 | + | 0.0272322i | ||||
\(265\) | 15.0601 | + | 4.42206i | 0.925137 | + | 0.271645i | ||||
\(266\) | −19.3319 | − | 1.10544i | −1.18531 | − | 0.0677787i | ||||
\(267\) | 9.52346 | − | 1.09272i | 0.582826 | − | 0.0668731i | ||||
\(268\) | −0.214718 | − | 0.175574i | −0.0131160 | − | 0.0107249i | ||||
\(269\) | −15.0726 | + | 10.9509i | −0.918993 | + | 0.667687i | −0.943273 | − | 0.332018i | \(-0.892271\pi\) |
0.0242803 | + | 0.999705i | \(0.492271\pi\) | |||||||
\(270\) | 6.03086 | + | 6.20561i | 0.367026 | + | 0.377661i | ||||
\(271\) | −9.13580 | − | 1.04824i | −0.554961 | − | 0.0636758i | −0.168025 | − | 0.985783i | \(-0.553739\pi\) |
−0.386935 | + | 0.922107i | \(0.626466\pi\) | |||||||
\(272\) | −0.520504 | − | 0.0900768i | −0.0315602 | − | 0.00546171i | ||||
\(273\) | 12.6812 | − | 24.0335i | 0.767499 | − | 1.45457i | ||||
\(274\) | −6.12248 | − | 13.4064i | −0.369873 | − | 0.809908i | ||||
\(275\) | −5.40587 | + | 1.76379i | −0.325986 | + | 0.106360i | ||||
\(276\) | −1.85873 | + | 4.07004i | −0.111882 | + | 0.244988i | ||||
\(277\) | −6.59709 | − | 8.55526i | −0.396381 | − | 0.514036i | 0.550843 | − | 0.834609i | \(-0.314306\pi\) |
−0.947224 | + | 0.320573i | \(0.896124\pi\) | |||||||
\(278\) | 5.36316 | + | 2.63689i | 0.321661 | + | 0.158150i | ||||
\(279\) | 2.33379 | − | 1.14745i | 0.139720 | − | 0.0686959i | ||||
\(280\) | 5.56702 | − | 7.21943i | 0.332693 | − | 0.431444i | ||||
\(281\) | −12.3947 | − | 23.4906i | −0.739405 | − | 1.40133i | −0.909416 | − | 0.415887i | \(-0.863471\pi\) |
0.170011 | − | 0.985442i | \(-0.445620\pi\) | |||||||
\(282\) | −0.465025 | − | 1.43120i | −0.0276918 | − | 0.0852267i | ||||
\(283\) | −19.5004 | + | 8.24092i | −1.15918 | + | 0.489872i | −0.882140 | − | 0.470988i | \(-0.843898\pi\) |
−0.277036 | + | 0.960860i | \(0.589352\pi\) | |||||||
\(284\) | −1.21526 | − | 3.12137i | −0.0721125 | − | 0.185219i | ||||
\(285\) | −5.45684 | + | 3.50690i | −0.323235 | + | 0.207731i | ||||
\(286\) | −17.0609 | − | 8.97545i | −1.00883 | − | 0.530730i | ||||
\(287\) | 13.6930 | + | 8.79996i | 0.808272 | + | 0.519445i | ||||
\(288\) | 0.424186 | − | 2.09344i | 0.0249954 | − | 0.123357i | ||||
\(289\) | −8.63466 | − | 14.3190i | −0.507921 | − | 0.842293i | ||||
\(290\) | −0.207142 | − | 7.25092i | −0.0121638 | − | 0.425789i | ||||
\(291\) | −2.79236 | + | 7.17212i | −0.163691 | + | 0.420437i | ||||
\(292\) | −2.88623 | − | 14.2441i | −0.168904 | − | 0.833574i | ||||
\(293\) | −12.5277 | + | 11.4978i | −0.731875 | + | 0.671709i | −0.952806 | − | 0.303580i | \(-0.901818\pi\) |
0.220931 | + | 0.975290i | \(0.429091\pi\) | |||||||
\(294\) | −9.59952 | + | 14.0388i | −0.559855 | + | 0.818762i | ||||
\(295\) | 15.7656 | + | 5.62516i | 0.917910 | + | 0.327510i | ||||
\(296\) | −2.82445 | − | 3.25959i | −0.164168 | − | 0.189460i | ||||
\(297\) | −10.6920 | + | 11.6784i | −0.620415 | + | 0.677648i | ||||
\(298\) | −6.42461 | + | 7.41440i | −0.372168 | + | 0.429504i | ||||
\(299\) | −24.3627 | + | 13.7582i | −1.40893 | + | 0.795659i | ||||
\(300\) | −0.0455087 | + | 1.59301i | −0.00262745 | + | 0.0919727i | ||||
\(301\) | 38.7479 | + | 16.3750i | 2.23339 | + | 0.943840i | ||||
\(302\) | 1.90186 | − | 22.1430i | 0.109440 | − | 1.27419i | ||||
\(303\) | 1.26516 | − | 14.7300i | 0.0726814 | − | 0.846215i | ||||
\(304\) | 3.54626 | + | 1.49866i | 0.203392 | + | 0.0859541i | ||||
\(305\) | −0.0537302 | + | 1.88080i | −0.00307658 | + | 0.107695i | ||||
\(306\) | −0.982477 | + | 0.554830i | −0.0561644 | + | 0.0317175i | ||||
\(307\) | 3.49500 | − | 4.03344i | 0.199470 | − | 0.230201i | −0.647198 | − | 0.762322i | \(-0.724059\pi\) |
0.846668 | + | 0.532121i | \(0.178605\pi\) | |||||||
\(308\) | 13.7814 | + | 9.39873i | 0.785265 | + | 0.535543i | ||||
\(309\) | −9.74204 | − | 11.2429i | −0.554205 | − | 0.639587i | ||||
\(310\) | −2.07854 | − | 0.741622i | −0.118053 | − | 0.0421213i | ||||
\(311\) | 4.24576 | − | 6.20922i | 0.240755 | − | 0.352093i | −0.686104 | − | 0.727504i | \(-0.740680\pi\) |
0.926858 | + | 0.375411i | \(0.122499\pi\) | |||||||
\(312\) | −3.98048 | + | 3.65326i | −0.225351 | + | 0.206825i | ||||
\(313\) | 0.119249 | + | 0.588519i | 0.00674037 | + | 0.0332650i | 0.983312 | − | 0.181929i | \(-0.0582342\pi\) |
−0.976571 | + | 0.215194i | \(0.930961\pi\) | |||||||
\(314\) | 5.69137 | − | 14.6182i | 0.321182 | − | 0.824950i | ||||
\(315\) | −0.556068 | − | 19.4649i | −0.0313309 | − | 1.09672i | ||||
\(316\) | 3.76500 | + | 6.24354i | 0.211798 | + | 0.351227i | ||||
\(317\) | 3.00666 | − | 14.8384i | 0.168871 | − | 0.833410i | −0.802649 | − | 0.596452i | \(-0.796577\pi\) |
0.971520 | − | 0.236958i | \(-0.0761505\pi\) | |||||||
\(318\) | 6.77132 | + | 4.35166i | 0.379717 | + | 0.244029i | ||||
\(319\) | 13.2228 | − | 1.15200i | 0.740335 | − | 0.0644996i | ||||
\(320\) | −1.52485 | + | 0.979964i | −0.0852419 | + | 0.0547816i | ||||
\(321\) | −2.98114 | − | 7.65700i | −0.166391 | − | 0.427372i | ||||
\(322\) | 22.3008 | − | 9.42441i | 1.24278 | − | 0.525202i | ||||
\(323\) | −0.628445 | − | 1.93415i | −0.0349676 | − | 0.107619i | ||||
\(324\) | −0.919519 | − | 1.74268i | −0.0510844 | − | 0.0968156i | ||||
\(325\) | −6.08538 | + | 7.89166i | −0.337556 | + | 0.437750i | ||||
\(326\) | 5.24233 | − | 2.57748i | 0.290346 | − | 0.142754i | ||||
\(327\) | 3.49859 | + | 1.72014i | 0.193473 | + | 0.0951241i | ||||
\(328\) | −1.97620 | − | 2.56279i | −0.109118 | − | 0.141506i | ||||
\(329\) | −3.38257 | + | 7.40679i | −0.186487 | + | 0.408350i | ||||
\(330\) | 5.58554 | − | 0.166403i | 0.307474 | − | 0.00916016i | ||||
\(331\) | 3.06723 | + | 6.71629i | 0.168590 | + | 0.369161i | 0.975003 | − | 0.222192i | \(-0.0713213\pi\) |
−0.806413 | + | 0.591353i | \(0.798594\pi\) | |||||||
\(332\) | −4.75347 | + | 9.00884i | −0.260881 | + | 0.494424i | ||||
\(333\) | −9.07770 | − | 1.57096i | −0.497455 | − | 0.0860880i | ||||
\(334\) | 14.3054 | + | 1.64139i | 0.782756 | + | 0.0898129i | ||||
\(335\) | 0.350384 | + | 0.360536i | 0.0191435 | + | 0.0196982i | ||||
\(336\) | 3.78224 | − | 2.74795i | 0.206338 | − | 0.149913i | ||||
\(337\) | −1.61575 | − | 1.32119i | −0.0880152 | − | 0.0719697i | 0.587981 | − | 0.808875i | \(-0.299923\pi\) |
−0.675996 | + | 0.736905i | \(0.736287\pi\) | |||||||
\(338\) | −20.6493 | + | 2.36929i | −1.12317 | + | 0.128872i | ||||
\(339\) | 9.57306 | + | 0.547407i | 0.519937 | + | 0.0297311i | ||||
\(340\) | 0.918703 | + | 0.269756i | 0.0498237 | + | 0.0146295i | ||||
\(341\) | 1.13292 | − | 3.87589i | 0.0613510 | − | 0.209891i | ||||
\(342\) | 7.89028 | − | 2.31680i | 0.426658 | − | 0.125278i | ||||
\(343\) | 55.3401 | − | 12.8688i | 2.98808 | − | 0.694849i | ||||
\(344\) | −6.16191 | − | 5.65535i | −0.332228 | − | 0.304916i | ||||
\(345\) | 4.18811 | − | 6.94520i | 0.225480 | − | 0.373917i | ||||
\(346\) | −8.28195 | − | 4.67703i | −0.445240 | − | 0.251439i | ||||
\(347\) | 5.25063 | − | 1.87342i | 0.281868 | − | 0.100570i | −0.191332 | − | 0.981525i | \(-0.561281\pi\) |
0.473200 | + | 0.880955i | \(0.343099\pi\) | |||||||
\(348\) | 0.945664 | − | 3.59768i | 0.0506929 | − | 0.192856i | ||||
\(349\) | −11.3761 | + | 9.30218i | −0.608948 | + | 0.497934i | −0.886471 | − | 0.462785i | \(-0.846850\pi\) |
0.277523 | + | 0.960719i | \(0.410487\pi\) | |||||||
\(350\) | 6.00981 | − | 6.18394i | 0.321238 | − | 0.330546i | ||||
\(351\) | −3.94907 | + | 27.4664i | −0.210786 | + | 1.46605i | ||||
\(352\) | −1.95274 | − | 2.68082i | −0.104082 | − | 0.142888i | ||||
\(353\) | 0.686053 | + | 4.77160i | 0.0365149 | + | 0.253967i | 0.999900 | − | 0.0141554i | \(-0.00450596\pi\) |
−0.963385 | + | 0.268122i | \(0.913597\pi\) | |||||||
\(354\) | 6.94463 | + | 5.04557i | 0.369103 | + | 0.268169i | ||||
\(355\) | 1.54348 | + | 5.87201i | 0.0819194 | + | 0.311654i | ||||
\(356\) | 5.82096 | + | 8.51289i | 0.308510 | + | 0.451182i | ||||
\(357\) | −2.40540 | − | 0.559352i | −0.127307 | − | 0.0296040i | ||||
\(358\) | 21.9133 | − | 1.25305i | 1.15815 | − | 0.0662255i | ||||
\(359\) | 6.10495 | − | 1.05650i | 0.322207 | − | 0.0557601i | −0.00712402 | − | 0.999975i | \(-0.502268\pi\) |
0.329331 | + | 0.944214i | \(0.393177\pi\) | |||||||
\(360\) | −1.19642 | + | 3.68219i | −0.0630566 | + | 0.194068i | ||||
\(361\) | −0.357538 | − | 4.16274i | −0.0188178 | − | 0.219092i | ||||
\(362\) | 6.50889 | 0.342100 | ||||||||
\(363\) | 0.899898 | + | 10.1851i | 0.0472324 | + | 0.534578i | ||||
\(364\) | 29.2342 | 1.53229 | ||||||||
\(365\) | 2.25435 | + | 26.2469i | 0.117998 | + | 1.37383i | ||||
\(366\) | −0.298169 | + | 0.917669i | −0.0155855 | + | 0.0479673i | ||||
\(367\) | −0.759130 | + | 0.131373i | −0.0396263 | + | 0.00685759i | −0.190301 | − | 0.981726i | \(-0.560946\pi\) |
0.150675 | + | 0.988583i | \(0.451855\pi\) | |||||||
\(368\) | −4.80578 | + | 0.274804i | −0.250518 | + | 0.0143252i | ||||
\(369\) | −6.73293 | − | 1.56567i | −0.350502 | − | 0.0815058i | ||||
\(370\) | 4.41272 | + | 6.45340i | 0.229407 | + | 0.335496i | ||||
\(371\) | −11.0719 | − | 42.1220i | −0.574826 | − | 2.18687i | ||||
\(372\) | −0.915580 | − | 0.665208i | −0.0474706 | − | 0.0344894i | ||||
\(373\) | −2.61687 | − | 18.2007i | −0.135496 | − | 0.942397i | −0.938218 | − | 0.346044i | \(-0.887525\pi\) |
0.802722 | − | 0.596353i | \(-0.203384\pi\) | |||||||
\(374\) | −0.394730 | + | 1.70693i | −0.0204110 | + | 0.0882633i | ||||
\(375\) | 1.61000 | − | 11.1978i | 0.0831399 | − | 0.578251i | ||||
\(376\) | 1.12831 | − | 1.16100i | 0.0581880 | − | 0.0598741i | ||||
\(377\) | 18.0074 | − | 14.7246i | 0.927427 | − | 0.758353i | ||||
\(378\) | 6.10410 | − | 23.2224i | 0.313961 | − | 1.19443i | ||||
\(379\) | −25.8515 | + | 9.22379i | −1.32790 | + | 0.473794i | −0.902297 | − | 0.431115i | \(-0.858120\pi\) |
−0.425604 | + | 0.904909i | \(0.639938\pi\) | |||||||
\(380\) | −6.07638 | − | 3.43149i | −0.311712 | − | 0.176032i | ||||
\(381\) | 2.07295 | − | 3.43760i | 0.106200 | − | 0.176114i | ||||
\(382\) | −11.7198 | − | 10.7563i | −0.599636 | − | 0.550341i | ||||
\(383\) | −9.15265 | + | 2.12836i | −0.467678 | + | 0.108754i | −0.453712 | − | 0.891149i | \(-0.649900\pi\) |
−0.0139666 | + | 0.999902i | \(0.504446\pi\) | |||||||
\(384\) | −0.891871 | + | 0.261877i | −0.0455131 | + | 0.0133639i | ||||
\(385\) | −22.8752 | − | 19.7726i | −1.16583 | − | 1.00770i | ||||
\(386\) | 20.6554 | + | 6.06497i | 1.05133 | + | 0.308699i | ||||
\(387\) | −17.8357 | − | 1.01988i | −0.906639 | − | 0.0518435i | ||||
\(388\) | −8.22611 | + | 0.943858i | −0.417617 | + | 0.0479171i | ||||
\(389\) | 11.8426 | + | 9.68363i | 0.600443 | + | 0.490979i | 0.883693 | − | 0.468066i | \(-0.155049\pi\) |
−0.283251 | + | 0.959046i | \(0.591413\pi\) | |||||||
\(390\) | 7.92282 | − | 5.75626i | 0.401188 | − | 0.291480i | ||||
\(391\) | 1.77214 | + | 1.82349i | 0.0896211 | + | 0.0922179i | ||||
\(392\) | −18.1773 | − | 2.08565i | −0.918091 | − | 0.105341i | ||||
\(393\) | 10.0515 | + | 1.73947i | 0.507029 | + | 0.0877448i | ||||
\(394\) | −4.45656 | + | 8.44612i | −0.224518 | + | 0.425509i | ||||
\(395\) | −5.48989 | − | 12.0212i | −0.276226 | − | 0.604851i | ||||
\(396\) | −6.85372 | − | 1.79257i | −0.344412 | − | 0.0900800i | ||||
\(397\) | 9.14799 | − | 20.0313i | 0.459124 | − | 1.00534i | −0.528562 | − | 0.848895i | \(-0.677269\pi\) |
0.987686 | − | 0.156447i | \(-0.0500042\pi\) | |||||||
\(398\) | 14.7887 | + | 19.1784i | 0.741293 | + | 0.961325i | ||||
\(399\) | 16.1521 | + | 7.94145i | 0.808616 | + | 0.397570i | ||||
\(400\) | −1.53858 | + | 0.756471i | −0.0769292 | + | 0.0378236i | ||||
\(401\) | −7.68052 | + | 9.96028i | −0.383547 | + | 0.497392i | −0.943611 | − | 0.331057i | \(-0.892595\pi\) |
0.560064 | + | 0.828449i | \(0.310777\pi\) | |||||||
\(402\) | 0.120314 | + | 0.228021i | 0.00600073 | + | 0.0113726i | ||||
\(403\) | −2.18686 | − | 6.73047i | −0.108935 | − | 0.335268i | ||||
\(404\) | 14.6506 | − | 6.19140i | 0.728895 | − | 0.308033i | ||||
\(405\) | 1.29578 | + | 3.32818i | 0.0643877 | + | 0.165379i | ||||
\(406\) | −16.9327 | + | 10.8820i | −0.840357 | + | 0.540065i | ||||
\(407\) | −11.3173 | + | 8.74904i | −0.560978 | + | 0.433674i | ||||
\(408\) | 0.413066 | + | 0.265461i | 0.0204498 | + | 0.0131423i | ||||
\(409\) | −0.844035 | + | 4.16548i | −0.0417349 | + | 0.205970i | −0.995524 | − | 0.0945062i | \(-0.969873\pi\) |
0.953789 | + | 0.300476i | \(0.0971455\pi\) | |||||||
\(410\) | 3.02919 | + | 5.02335i | 0.149601 | + | 0.248085i | ||||
\(411\) | 0.391205 | + | 13.6940i | 0.0192967 | + | 0.675473i | ||||
\(412\) | 5.80653 | − | 14.9140i | 0.286067 | − | 0.734758i | ||||
\(413\) | −9.22401 | − | 45.5223i | −0.453884 | − | 2.24001i | ||||
\(414\) | −7.57506 | + | 6.95232i | −0.372294 | + | 0.341688i | ||||
\(415\) | 10.4214 | − | 15.2408i | 0.511565 | − | 0.748140i | ||||
\(416\) | −5.47444 | − | 1.95328i | −0.268407 | − | 0.0957673i | ||||
\(417\) | −3.63785 | − | 4.19830i | −0.178146 | − | 0.205592i | ||||
\(418\) | 5.61983 | − | 11.4655i | 0.274875 | − | 0.560798i | ||||
\(419\) | −14.3210 | + | 16.5273i | −0.699626 | + | 0.807412i | −0.988702 | − | 0.149894i | \(-0.952107\pi\) |
0.289076 | + | 0.957306i | \(0.406652\pi\) | |||||||
\(420\) | −7.37876 | + | 4.16698i | −0.360047 | + | 0.203328i | ||||
\(421\) | 0.170058 | − | 5.95282i | 0.00828813 | − | 0.290123i | −0.984866 | − | 0.173315i | \(-0.944552\pi\) |
0.993155 | − | 0.116808i | \(-0.0372661\pi\) | |||||||
\(422\) | −24.3553 | − | 10.2926i | −1.18560 | − | 0.501037i | ||||
\(423\) | 0.295923 | − | 3.44537i | 0.0143883 | − | 0.167520i | ||||
\(424\) | −0.741025 | + | 8.62760i | −0.0359874 | + | 0.418993i | ||||
\(425\) | 0.834231 | + | 0.352549i | 0.0404661 | + | 0.0171011i | ||||
\(426\) | −0.0889102 | + | 3.11226i | −0.00430771 | + | 0.150790i | ||||
\(427\) | 4.54613 | − | 2.56732i | 0.220002 | − | 0.124241i | ||||
\(428\) | 5.78888 | − | 6.68073i | 0.279816 | − | 0.322925i | ||||
\(429\) | 11.3600 | + | 13.8581i | 0.548466 | + | 0.669074i | ||||
\(430\) | 9.92774 | + | 11.4572i | 0.478758 | + | 0.552516i | ||||
\(431\) | 14.4019 | + | 5.13857i | 0.693713 | + | 0.247516i | 0.659288 | − | 0.751891i | \(-0.270858\pi\) |
0.0344256 | + | 0.999407i | \(0.489040\pi\) | |||||||
\(432\) | −2.69466 | + | 3.94082i | −0.129647 | + | 0.189603i | ||||
\(433\) | 26.6138 | − | 24.4259i | 1.27898 | − | 1.17383i | 0.303718 | − | 0.952762i | \(-0.401772\pi\) |
0.975258 | − | 0.221071i | \(-0.0709553\pi\) | |||||||
\(434\) | 1.21609 | + | 6.00166i | 0.0583744 | + | 0.288089i | ||||
\(435\) | −2.44629 | + | 6.28324i | −0.117290 | + | 0.301258i | ||||
\(436\) | 0.119769 | + | 4.19248i | 0.00573592 | + | 0.200783i | ||||
\(437\) | −9.56994 | − | 15.8700i | −0.457792 | − | 0.759163i | ||||
\(438\) | −2.68282 | + | 13.2403i | −0.128190 | + | 0.632644i | ||||
\(439\) | −12.0551 | − | 7.74734i | −0.575358 | − | 0.369760i | 0.220368 | − | 0.975417i | \(-0.429274\pi\) |
−0.795726 | + | 0.605657i | \(0.792911\pi\) | |||||||
\(440\) | 2.96255 | + | 5.23105i | 0.141234 | + | 0.249380i | ||||
\(441\) | −32.8771 | + | 21.1289i | −1.56558 | + | 1.00614i | ||||
\(442\) | 1.11396 | + | 2.86118i | 0.0529856 | + | 0.136093i | ||||
\(443\) | 17.4444 | − | 7.37208i | 0.828810 | − | 0.350258i | 0.0667542 | − | 0.997769i | \(-0.478736\pi\) |
0.762056 | + | 0.647511i | \(0.224190\pi\) | |||||||
\(444\) | 1.23888 | + | 3.81287i | 0.0587945 | + | 0.180951i | ||||
\(445\) | −8.72334 | − | 16.5326i | −0.413526 | − | 0.783719i | ||||
\(446\) | −3.16121 | + | 4.09953i | −0.149688 | + | 0.194119i | ||||
\(447\) | 8.18358 | − | 4.02360i | 0.387070 | − | 0.190310i | ||||
\(448\) | 4.51352 | + | 2.21915i | 0.213244 | + | 0.104845i | ||||
\(449\) | 0.420725 | + | 0.545605i | 0.0198552 | + | 0.0257487i | 0.801725 | − | 0.597693i | \(-0.203916\pi\) |
−0.781870 | + | 0.623442i | \(0.785734\pi\) | |||||||
\(450\) | −1.52131 | + | 3.33120i | −0.0717151 | + | 0.157034i | ||||
\(451\) | −8.85271 | + | 6.06923i | −0.416858 | + | 0.285789i | ||||
\(452\) | 4.28530 | + | 9.38350i | 0.201564 | + | 0.441363i | ||||
\(453\) | −9.64051 | + | 18.2708i | −0.452951 | + | 0.858437i | ||||
\(454\) | −1.18647 | − | 0.205326i | −0.0556837 | − | 0.00963644i | ||||
\(455\) | −52.6444 | − | 6.04038i | −2.46801 | − | 0.283177i | ||||
\(456\) | −2.49406 | − | 2.56633i | −0.116795 | − | 0.120179i | ||||
\(457\) | −21.2611 | + | 15.4471i | −0.994550 | + | 0.722583i | −0.960913 | − | 0.276851i | \(-0.910709\pi\) |
−0.0336372 | + | 0.999434i | \(0.510709\pi\) | |||||||
\(458\) | 9.12785 | + | 7.46380i | 0.426516 | + | 0.348761i | ||||
\(459\) | 2.50540 | − | 0.287467i | 0.116942 | − | 0.0134178i | ||||
\(460\) | 8.71094 | + | 0.498109i | 0.406149 | + | 0.0232245i | ||||
\(461\) | 14.6337 | + | 4.29684i | 0.681559 | + | 0.200124i | 0.604144 | − | 0.796875i | \(-0.293515\pi\) |
0.0774150 | + | 0.996999i | \(0.475333\pi\) | |||||||
\(462\) | −8.39888 | − | 13.0338i | −0.390751 | − | 0.606389i | ||||
\(463\) | −22.4455 | + | 6.59060i | −1.04313 | + | 0.306291i | −0.758039 | − | 0.652209i | \(-0.773843\pi\) |
−0.285093 | + | 0.958500i | \(0.592024\pi\) | |||||||
\(464\) | 3.89793 | − | 0.906424i | 0.180957 | − | 0.0420797i | ||||
\(465\) | 1.51131 | + | 1.38707i | 0.0700855 | + | 0.0643239i | ||||
\(466\) | 1.30365 | − | 2.16186i | 0.0603904 | − | 0.100146i | ||||
\(467\) | 24.4298 | + | 13.7962i | 1.13048 | + | 0.638410i | 0.939284 | − | 0.343142i | \(-0.111491\pi\) |
0.191194 | + | 0.981552i | \(0.438764\pi\) | |||||||
\(468\) | −11.6933 | + | 4.17217i | −0.540524 | + | 0.192859i | ||||
\(469\) | 0.354639 | − | 1.34919i | 0.0163757 | − | 0.0622996i | ||||
\(470\) | −2.27172 | + | 1.85758i | −0.104787 | + | 0.0856837i | ||||
\(471\) | −10.1624 | + | 10.4568i | −0.468257 | + | 0.481825i | ||||
\(472\) | −1.31426 | + | 9.14087i | −0.0604937 | + | 0.420743i | ||||
\(473\) | −19.8691 | + | 19.3569i | −0.913583 | + | 0.890032i | ||||
\(474\) | −0.964475 | − | 6.70807i | −0.0442998 | − | 0.308112i | ||||
\(475\) | −5.34006 | − | 3.87978i | −0.245019 | − | 0.178017i | ||||
\(476\) | −0.675413 | − | 2.56954i | −0.0309575 | − | 0.117775i | ||||
\(477\) | 10.4401 | + | 15.2682i | 0.478020 | + | 0.699081i | ||||
\(478\) | −7.77331 | − | 1.80760i | −0.355543 | − | 0.0826779i | ||||
\(479\) | 33.6203 | − | 1.92248i | 1.53615 | − | 0.0878403i | 0.731605 | − | 0.681729i | \(-0.238772\pi\) |
0.804547 | + | 0.593889i | \(0.202408\pi\) | |||||||
\(480\) | 1.66017 | − | 0.287304i | 0.0757762 | − | 0.0131136i | ||||
\(481\) | −7.74691 | + | 23.8425i | −0.353229 | + | 1.08713i | ||||
\(482\) | 0.675446 | + | 7.86407i | 0.0307657 | + | 0.358199i | ||||
\(483\) | −22.5042 | −1.02398 | ||||||||
\(484\) | −9.23922 | + | 5.96966i | −0.419964 | + | 0.271348i | ||||
\(485\) | 15.0084 | 0.681498 | ||||||||
\(486\) | 1.38234 | + | 16.0943i | 0.0627044 | + | 0.730054i | ||||
\(487\) | 2.37815 | − | 7.31919i | 0.107764 | − | 0.331664i | −0.882605 | − | 0.470115i | \(-0.844212\pi\) |
0.990369 | + | 0.138451i | \(0.0442123\pi\) | |||||||
\(488\) | −1.02285 | + | 0.177011i | −0.0463022 | + | 0.00801291i | ||||
\(489\) | −5.42114 | + | 0.309992i | −0.245153 | + | 0.0140183i | ||||
\(490\) | 32.3024 | + | 7.51159i | 1.45927 | + | 0.339339i | ||||
\(491\) | −7.08035 | − | 10.3547i | −0.319532 | − | 0.467300i | 0.631948 | − | 0.775011i | \(-0.282255\pi\) |
−0.951480 | + | 0.307710i | \(0.900437\pi\) | |||||||
\(492\) | 0.764730 | + | 2.90934i | 0.0344767 | + | 0.131163i | ||||
\(493\) | −1.71025 | − | 1.24257i | −0.0770257 | − | 0.0559625i | ||||
\(494\) | −3.18466 | − | 22.1498i | −0.143285 | − | 0.996567i | ||||
\(495\) | 11.9717 | + | 4.64414i | 0.538087 | + | 0.208739i | ||||
\(496\) | 0.173272 | − | 1.20513i | 0.00778014 | − | 0.0541121i | ||||
\(497\) | 11.7413 | − | 12.0815i | 0.526671 | − | 0.541931i | ||||
\(498\) | 7.32967 | − | 5.99344i | 0.328450 | − | 0.268573i | ||||
\(499\) | 3.20637 | − | 12.1983i | 0.143537 | − | 0.546070i | −0.856038 | − | 0.516913i | \(-0.827081\pi\) |
0.999575 | − | 0.0291575i | \(-0.00928243\pi\) | |||||||
\(500\) | 11.4629 | − | 4.08995i | 0.512635 | − | 0.182908i | ||||
\(501\) | −11.6545 | − | 6.58157i | −0.520683 | − | 0.294043i | ||||
\(502\) | 12.4054 | − | 20.5721i | 0.553681 | − | 0.918177i | ||||
\(503\) | 6.00987 | + | 5.51581i | 0.267967 | + | 0.245938i | 0.798883 | − | 0.601487i | \(-0.205425\pi\) |
−0.530916 | + | 0.847425i | \(0.678152\pi\) | |||||||
\(504\) | 10.4639 | − | 2.43327i | 0.466099 | − | 0.108387i | ||||
\(505\) | −27.6618 | + | 8.12224i | −1.23093 | + | 0.361435i | ||||
\(506\) | 0.0195242 | + | 15.9650i | 0.000867955 | + | 0.709730i | ||||
\(507\) | 18.5374 | + | 5.44306i | 0.823273 | + | 0.241735i | ||||
\(508\) | 4.31157 | + | 0.246544i | 0.191295 | + | 0.0109386i | ||||
\(509\) | −10.4698 | + | 1.20129i | −0.464064 | + | 0.0532464i | −0.342871 | − | 0.939383i | \(-0.611399\pi\) |
−0.121193 | + | 0.992629i | \(0.538672\pi\) | |||||||
\(510\) | −0.688992 | − | 0.563386i | −0.0305091 | − | 0.0249471i | ||||
\(511\) | 59.1373 | − | 42.9657i | 2.61608 | − | 1.90069i | ||||
\(512\) | −0.696938 | − | 0.717132i | −0.0308006 | − | 0.0316930i | ||||
\(513\) | −18.2598 | − | 2.09512i | −0.806191 | − | 0.0925018i | ||||
\(514\) | −15.5297 | − | 2.68752i | −0.684985 | − | 0.118541i | ||||
\(515\) | −13.5378 | + | 25.6570i | −0.596548 | + | 1.13058i | ||||
\(516\) | 3.22956 | + | 7.07174i | 0.142173 | + | 0.311316i | ||||
\(517\) | −3.63552 | − | 3.95145i | −0.159890 | − | 0.173785i | ||||
\(518\) | 9.01152 | − | 19.7325i | 0.395944 | − | 0.866995i | ||||
\(519\) | 5.39874 | + | 7.00121i | 0.236978 | + | 0.307319i | ||||
\(520\) | 9.45468 | + | 4.64856i | 0.414615 | + | 0.203853i | ||||
\(521\) | −6.01366 | + | 2.95672i | −0.263463 | + | 0.129536i | −0.568173 | − | 0.822909i | \(-0.692350\pi\) |
0.304710 | + | 0.952445i | \(0.401440\pi\) | |||||||
\(522\) | 5.21986 | − | 6.76923i | 0.228467 | − | 0.296281i | ||||
\(523\) | −15.6032 | − | 29.5714i | −0.682281 | − | 1.29307i | −0.944644 | − | 0.328097i | \(-0.893593\pi\) |
0.262363 | − | 0.964969i | \(-0.415498\pi\) | |||||||
\(524\) | 3.39124 | + | 10.4372i | 0.148147 | + | 0.455950i | ||||
\(525\) | −7.38321 | + | 3.12017i | −0.322229 | + | 0.136175i | ||||
\(526\) | −10.2015 | − | 26.2023i | −0.444806 | − | 1.14247i | ||||
\(527\) | −0.541050 | + | 0.347712i | −0.0235685 | + | 0.0151466i | ||||
\(528\) | 0.701934 | + | 3.00191i | 0.0305478 | + | 0.130641i | ||||
\(529\) | 0.143871 | + | 0.0924601i | 0.00625525 | + | 0.00402001i | ||||
\(530\) | 3.11706 | − | 15.3833i | 0.135397 | − | 0.668208i | ||||
\(531\) | 10.1862 | + | 16.8920i | 0.442045 | + | 0.733049i | ||||
\(532\) | 0.552944 | + | 19.3556i | 0.0239732 | + | 0.839170i | ||||
\(533\) | −6.82462 | + | 17.5289i | −0.295607 | + | 0.759260i | ||||
\(534\) | −1.90368 | − | 9.39502i | −0.0823802 | − | 0.406562i | ||||
\(535\) | −11.8049 | + | 10.8344i | −0.510370 | + | 0.468413i | ||||
\(536\) | −0.156556 | + | 0.228956i | −0.00676218 | + | 0.00988938i | ||||
\(537\) | −19.2157 | − | 6.85614i | −0.829217 | − | 0.295864i | ||||
\(538\) | 12.2006 | + | 14.0802i | 0.526003 | + | 0.607040i | ||||
\(539\) | −10.2746 | + | 59.8066i | −0.442559 | + | 2.57605i | ||||
\(540\) | 5.66675 | − | 6.53978i | 0.243858 | − | 0.281427i | ||||
\(541\) | 22.2689 | − | 12.5758i | 0.957415 | − | 0.540677i | 0.0679543 | − | 0.997688i | \(-0.478353\pi\) |
0.889461 | + | 0.457011i | \(0.151080\pi\) | |||||||
\(542\) | −0.262594 | + | 9.19199i | −0.0112794 | + | 0.394830i | ||||
\(543\) | −5.57295 | − | 2.35515i | −0.239158 | − | 0.101069i | ||||
\(544\) | −0.0452042 | + | 0.526303i | −0.00193812 | + | 0.0225651i | ||||
\(545\) | 0.650573 | − | 7.57448i | 0.0278675 | − | 0.324455i | ||||
\(546\) | −25.0305 | − | 10.5780i | −1.07121 | − | 0.452696i | ||||
\(547\) | −0.623161 | + | 21.8135i | −0.0266444 | + | 0.932677i | 0.870823 | + | 0.491597i | \(0.163587\pi\) |
−0.897467 | + | 0.441081i | \(0.854595\pi\) | |||||||
\(548\) | −12.8333 | + | 7.24728i | −0.548210 | + | 0.309588i | ||||
\(549\) | −1.45200 | + | 1.67570i | −0.0619699 | + | 0.0715171i | ||||
\(550\) | 2.21992 | + | 5.23511i | 0.0946579 | + | 0.223226i | ||||
\(551\) | 10.0895 | + | 11.6439i | 0.429828 | + | 0.496048i | ||||
\(552\) | 4.21417 | + | 1.50361i | 0.179367 | + | 0.0639980i | ||||
\(553\) | −20.6981 | + | 30.2700i | −0.880174 | + | 1.28721i | ||||
\(554\) | −7.95933 | + | 7.30501i | −0.338159 | + | 0.310360i | ||||
\(555\) | −1.44313 | − | 7.12212i | −0.0612574 | − | 0.302317i | ||||
\(556\) | 2.16826 | − | 5.56914i | 0.0919548 | − | 0.236184i | ||||
\(557\) | −1.29990 | − | 45.5025i | −0.0550787 | − | 1.92800i | −0.291895 | − | 0.956450i | \(-0.594286\pi\) |
0.236817 | − | 0.971554i | \(-0.423896\pi\) | |||||||
\(558\) | −1.34295 | − | 2.22704i | −0.0568517 | − | 0.0942780i | ||||
\(559\) | −9.65426 | + | 47.6457i | −0.408332 | + | 2.01520i | ||||
\(560\) | −7.66935 | − | 4.92879i | −0.324089 | − | 0.208279i | ||||
\(561\) | 0.955599 | − | 1.31866i | 0.0403454 | − | 0.0556738i | ||||
\(562\) | −22.3437 | + | 14.3594i | −0.942513 | + | 0.605716i | ||||
\(563\) | −12.5401 | − | 32.2090i | −0.528503 | − | 1.35745i | −0.902768 | − | 0.430127i | \(-0.858469\pi\) |
0.374265 | − | 0.927322i | \(-0.377895\pi\) | |||||||
\(564\) | −1.38616 | + | 0.585794i | −0.0583677 | + | 0.0246664i | ||||
\(565\) | −5.77807 | − | 17.7831i | −0.243085 | − | 0.748139i | ||||
\(566\) | 9.87943 | + | 18.7236i | 0.415263 | + | 0.787012i | ||||
\(567\) | 6.05166 | − | 7.84793i | 0.254146 | − | 0.329582i | ||||
\(568\) | −3.00593 | + | 1.47791i | −0.126126 | + | 0.0620119i | ||||
\(569\) | −41.1638 | − | 20.2389i | −1.72568 | − | 0.848458i | −0.984106 | − | 0.177583i | \(-0.943172\pi\) |
−0.741570 | − | 0.670875i | \(-0.765919\pi\) | |||||||
\(570\) | 3.96100 | + | 5.13672i | 0.165908 | + | 0.215153i | ||||
\(571\) | 15.8954 | − | 34.8061i | 0.665202 | − | 1.45659i | −0.212392 | − | 0.977184i | \(-0.568125\pi\) |
0.877594 | − | 0.479404i | \(-0.159147\pi\) | |||||||
\(572\) | −7.48254 | + | 17.7664i | −0.312861 | + | 0.742850i | ||||
\(573\) | 6.14253 | + | 13.4503i | 0.256608 | + | 0.561893i | ||||
\(574\) | 7.59590 | − | 14.3958i | 0.317047 | − | 0.600870i | ||||
\(575\) | 8.13207 | + | 1.40731i | 0.339131 | + | 0.0586889i | ||||
\(576\) | −2.12206 | − | 0.243484i | −0.0884193 | − | 0.0101452i | ||||
\(577\) | 29.0866 | + | 29.9294i | 1.21089 | + | 1.24598i | 0.960641 | + | 0.277794i | \(0.0896031\pi\) |
0.250248 | + | 0.968182i | \(0.419488\pi\) | |||||||
\(578\) | −13.5275 | + | 9.82833i | −0.562672 | + | 0.408805i | ||||
\(579\) | −15.4907 | − | 12.6667i | −0.643773 | − | 0.526411i | ||||
\(580\) | −7.20660 | + | 0.826880i | −0.299238 | + | 0.0343343i | ||||
\(581\) | −51.1476 | − | 2.92473i | −2.12196 | − | 0.121338i | ||||
\(582\) | 7.38476 | + | 2.16836i | 0.306108 | + | 0.0898815i | ||||
\(583\) | 28.4325 | + | 4.05250i | 1.17755 | + | 0.167837i | ||||
\(584\) | −13.9449 | + | 4.09459i | −0.577043 | + | 0.169435i | ||||
\(585\) | 21.9192 | − | 5.09709i | 0.906247 | − | 0.210739i | ||||
\(586\) | 12.5277 | + | 11.4978i | 0.517514 | + | 0.474970i | ||||
\(587\) | −3.10202 | + | 5.14413i | −0.128034 | + | 0.212321i | −0.913760 | − | 0.406254i | \(-0.866835\pi\) |
0.785726 | + | 0.618575i | \(0.212290\pi\) | |||||||
\(588\) | 14.8088 | + | 8.36293i | 0.610706 | + | 0.344881i | ||||
\(589\) | 4.41479 | − | 1.57519i | 0.181908 | − | 0.0649047i | ||||
\(590\) | 4.25538 | − | 16.1892i | 0.175191 | − | 0.666497i | ||||
\(591\) | 6.87184 | − | 5.61908i | 0.282670 | − | 0.231138i | ||||
\(592\) | −3.00593 | + | 3.09303i | −0.123543 | + | 0.127123i | ||||
\(593\) | −0.963341 | + | 6.70019i | −0.0395597 | + | 0.275144i | −0.999994 | − | 0.00336171i | \(-0.998930\pi\) |
0.960435 | + | 0.278505i | \(0.0898390\pi\) | |||||||
\(594\) | 12.5505 | + | 9.65343i | 0.514953 | + | 0.396085i | ||||
\(595\) | 0.685353 | + | 4.76673i | 0.0280967 | + | 0.195417i | ||||
\(596\) | 7.93698 | + | 5.76656i | 0.325112 | + | 0.236207i | ||||
\(597\) | −5.72279 | − | 21.7717i | −0.234218 | − | 0.891058i | ||||
\(598\) | 15.7926 | + | 23.0959i | 0.645807 | + | 0.944463i | ||||
\(599\) | 13.7917 | + | 3.20713i | 0.563514 | + | 0.131040i | 0.498570 | − | 0.866849i | \(-0.333859\pi\) |
0.0649441 | + | 0.997889i | \(0.479313\pi\) | |||||||
\(600\) | 1.59106 | − | 0.0909803i | 0.0649549 | − | 0.00371426i | ||||
\(601\) | 27.8169 | − | 4.81390i | 1.13467 | − | 0.196363i | 0.427916 | − | 0.903819i | \(-0.359248\pi\) |
0.706758 | + | 0.707456i | \(0.250157\pi\) | |||||||
\(602\) | 12.9991 | − | 40.0071i | 0.529803 | − | 1.63057i | ||||
\(603\) | 0.0506984 | + | 0.590271i | 0.00206460 | + | 0.0240377i | ||||
\(604\) | −22.2245 | −0.904303 | ||||||||
\(605\) | 17.8713 | − | 8.84105i | 0.726570 | − | 0.359440i | ||||
\(606\) | −14.7842 | −0.600567 | ||||||||
\(607\) | 1.82834 | + | 21.2870i | 0.0742102 | + | 0.864014i | 0.934906 | + | 0.354895i | \(0.115483\pi\) |
−0.860696 | + | 0.509119i | \(0.829971\pi\) | |||||||
\(608\) | 1.18969 | − | 3.66150i | 0.0482484 | − | 0.148493i | ||||
\(609\) | 18.4354 | − | 3.19037i | 0.747040 | − | 0.129280i | ||||
\(610\) | 1.87850 | − | 0.107417i | 0.0760583 | − | 0.00434917i | ||||
\(611\) | −9.16555 | − | 2.13136i | −0.370799 | − | 0.0862255i | ||||
\(612\) | 0.636870 | + | 0.931393i | 0.0257440 | + | 0.0376493i | ||||
\(613\) | 6.75077 | + | 25.6826i | 0.272661 | + | 1.03731i | 0.952645 | + | 0.304084i | \(0.0983502\pi\) |
−0.679984 | + | 0.733227i | \(0.738013\pi\) | |||||||
\(614\) | −4.31773 | − | 3.13701i | −0.174249 | − | 0.126600i | ||||
\(615\) | −0.775984 | − | 5.39709i | −0.0312907 | − | 0.217632i | ||||
\(616\) | 8.18492 | − | 14.5351i | 0.329780 | − | 0.585636i | ||||
\(617\) | 0.511004 | − | 3.55411i | 0.0205722 | − | 0.143083i | −0.976947 | − | 0.213484i | \(-0.931519\pi\) |
0.997519 | + | 0.0704011i | \(0.0224279\pi\) | |||||||
\(618\) | −10.3680 | + | 10.6684i | −0.417062 | + | 0.429146i | ||||
\(619\) | 20.4800 | − | 16.7464i | 0.823159 | − | 0.673094i | −0.124556 | − | 0.992213i | \(-0.539751\pi\) |
0.947715 | + | 0.319119i | \(0.103387\pi\) | |||||||
\(620\) | −0.561030 | + | 2.13438i | −0.0225315 | + | 0.0857188i | ||||
\(621\) | 21.6439 | − | 7.72254i | 0.868541 | − | 0.309895i | ||||
\(622\) | −6.54977 | − | 3.69883i | −0.262622 | − | 0.148309i | ||||
\(623\) | −26.7848 | + | 44.4177i | −1.07311 | + | 1.77956i | ||||
\(624\) | 3.98048 | + | 3.65326i | 0.159347 | + | 0.146247i | ||||
\(625\) | −13.1375 | + | 3.05500i | −0.525500 | + | 0.122200i | ||||
\(626\) | 0.576155 | − | 0.169174i | 0.0230278 | − | 0.00676157i | ||||
\(627\) | −8.96038 | + | 7.78342i | −0.357843 | + | 0.310840i | ||||
\(628\) | −15.0516 | − | 4.41954i | −0.600623 | − | 0.176359i | ||||
\(629\) | 2.27462 | + | 0.130067i | 0.0906950 | + | 0.00518613i | ||||
\(630\) | −19.3459 | + | 2.21974i | −0.770761 | + | 0.0884366i | ||||
\(631\) | 17.9033 | + | 14.6394i | 0.712718 | + | 0.582787i | 0.918315 | − | 0.395850i | \(-0.129550\pi\) |
−0.205597 | + | 0.978637i | \(0.565914\pi\) | |||||||
\(632\) | 5.89845 | − | 4.28548i | 0.234628 | − | 0.170467i | ||||
\(633\) | 17.1289 | + | 17.6252i | 0.680813 | + | 0.700540i | ||||
\(634\) | −15.0413 | − | 1.72583i | −0.597367 | − | 0.0685414i | ||||
\(635\) | −7.71325 | − | 1.33483i | −0.306091 | − | 0.0529711i | ||||
\(636\) | 3.75625 | − | 7.11888i | 0.148945 | − | 0.282282i | ||||
\(637\) | 44.1786 | + | 96.7376i | 1.75042 | + | 3.83288i | ||||
\(638\) | −2.27932 | − | 13.0757i | −0.0902390 | − | 0.517673i | ||||
\(639\) | −2.97217 | + | 6.50814i | −0.117577 | + | 0.257458i | ||||
\(640\) | 1.10686 | + | 1.43540i | 0.0437524 | + | 0.0567391i | ||||
\(641\) | −31.1409 | − | 15.3109i | −1.22999 | − | 0.604746i | −0.293676 | − | 0.955905i | \(-0.594879\pi\) |
−0.936316 | + | 0.351159i | \(0.885788\pi\) | |||||||
\(642\) | −7.37380 | + | 3.62545i | −0.291021 | + | 0.143085i | ||||
\(643\) | 14.8586 | − | 19.2690i | 0.585968 | − | 0.759896i | −0.401817 | − | 0.915720i | \(-0.631621\pi\) |
0.987785 | + | 0.155824i | \(0.0498031\pi\) | |||||||
\(644\) | −11.2982 | − | 21.4125i | −0.445213 | − | 0.843772i | ||||
\(645\) | −4.35456 | − | 13.4019i | −0.171461 | − | 0.527701i | ||||
\(646\) | −1.87328 | + | 0.791655i | −0.0737032 | + | 0.0311472i | ||||
\(647\) | 1.73358 | + | 4.45268i | 0.0681542 | + | 0.175053i | 0.961822 | − | 0.273677i | \(-0.0882401\pi\) |
−0.893667 | + | 0.448730i | \(0.851876\pi\) | |||||||
\(648\) | −1.65760 | + | 1.06528i | −0.0651167 | + | 0.0418480i | ||||
\(649\) | 30.0260 | + | 6.04583i | 1.17862 | + | 0.237320i | ||||
\(650\) | 8.38347 | + | 5.38773i | 0.328827 | + | 0.211324i | ||||
\(651\) | 1.13039 | − | 5.57868i | 0.0443034 | − | 0.218646i | ||||
\(652\) | −3.01664 | − | 5.00253i | −0.118141 | − | 0.195914i | ||||
\(653\) | 0.106091 | + | 3.71368i | 0.00415167 | + | 0.145328i | 0.999023 | + | 0.0441833i | \(0.0140686\pi\) |
−0.994872 | + | 0.101144i | \(0.967750\pi\) | |||||||
\(654\) | 1.41444 | − | 3.63296i | 0.0553090 | − | 0.142060i | ||||
\(655\) | −3.95035 | − | 19.4958i | −0.154353 | − | 0.761762i | ||||
\(656\) | −2.38427 | + | 2.18827i | −0.0930902 | + | 0.0854374i | ||||
\(657\) | −17.5223 | + | 25.6256i | −0.683611 | + | 0.999749i | ||||
\(658\) | 7.66908 | + | 2.73632i | 0.298972 | + | 0.106673i | ||||
\(659\) | −7.92224 | − | 9.14275i | −0.308607 | − | 0.356151i | 0.580167 | − | 0.814498i | \(-0.302987\pi\) |
−0.888774 | + | 0.458347i | \(0.848442\pi\) | |||||||
\(660\) | −0.643775 | − | 5.55081i | −0.0250589 | − | 0.216065i | ||||
\(661\) | 6.82378 | − | 7.87507i | 0.265414 | − | 0.306305i | −0.607362 | − | 0.794426i | \(-0.707772\pi\) |
0.872776 | + | 0.488121i | \(0.162318\pi\) | |||||||
\(662\) | 6.42918 | − | 3.63072i | 0.249877 | − | 0.141112i | ||||
\(663\) | 0.0814988 | − | 2.85283i | 0.00316515 | − | 0.110795i | ||||
\(664\) | 9.38257 | + | 3.96511i | 0.364114 | + | 0.153876i | ||||
\(665\) | 3.00352 | − | 34.9694i | 0.116472 | − | 1.35605i | ||||
\(666\) | −0.788371 | + | 9.17884i | −0.0305488 | + | 0.355673i | ||||
\(667\) | −17.7443 | − | 7.49882i | −0.687064 | − | 0.290356i | ||||
\(668\) | 0.411186 | − | 14.3934i | 0.0159093 | − | 0.556897i | ||||
\(669\) | 4.19001 | − | 2.36621i | 0.161995 | − | 0.0914828i | ||||
\(670\) | 0.329230 | − | 0.379951i | 0.0127193 | − | 0.0146788i | ||||
\(671\) | 0.396636 | + | 3.41991i | 0.0153120 | + | 0.132024i | ||||
\(672\) | −3.06154 | − | 3.53320i | −0.118101 | − | 0.136296i | ||||
\(673\) | −25.8856 | − | 9.23596i | −0.997816 | − | 0.356020i | −0.213879 | − | 0.976860i | \(-0.568610\pi\) |
−0.783937 | + | 0.620840i | \(0.786792\pi\) | |||||||
\(674\) | −1.17807 | + | 1.72288i | −0.0453777 | + | 0.0663628i | ||||
\(675\) | 6.03025 | − | 5.53451i | 0.232104 | − | 0.213023i | ||||
\(676\) | 4.12766 | + | 20.3708i | 0.158756 | + | 0.783493i | ||||
\(677\) | −6.22293 | + | 15.9835i | −0.239167 | + | 0.614294i | −0.999374 | − | 0.0353864i | \(-0.988734\pi\) |
0.760207 | + | 0.649681i | \(0.225097\pi\) | |||||||
\(678\) | −0.273815 | − | 9.58479i | −0.0105158 | − | 0.368102i | ||||
\(679\) | −21.5055 | − | 35.6628i | −0.825304 | − | 1.36861i | ||||
\(680\) | 0.190148 | − | 0.938417i | 0.00729184 | − | 0.0359867i | ||||
\(681\) | 0.941566 | + | 0.605108i | 0.0360809 | + | 0.0231878i | ||||
\(682\) | −3.95863 | − | 0.797083i | −0.151584 | − | 0.0305219i | ||||
\(683\) | 3.85992 | − | 2.48062i | 0.147696 | − | 0.0949182i | −0.464706 | − | 0.885465i | \(-0.653840\pi\) |
0.612402 | + | 0.790547i | \(0.290204\pi\) | |||||||
\(684\) | −2.98351 | − | 7.66308i | −0.114077 | − | 0.293005i | ||||
\(685\) | 24.6073 | − | 10.3991i | 0.940198 | − | 0.397331i | ||||
\(686\) | −17.5573 | − | 54.0359i | −0.670341 | − | 2.06310i | ||||
\(687\) | −5.11465 | − | 9.69334i | −0.195136 | − | 0.369824i | ||||
\(688\) | −5.10730 | + | 6.62326i | −0.194714 | + | 0.252509i | ||||
\(689\) | 45.1681 | − | 22.2077i | 1.72077 | − | 0.846045i | ||||
\(690\) | −7.27812 | − | 3.57841i | −0.277073 | − | 0.136228i | ||||
\(691\) | −19.6896 | − | 25.5339i | −0.749027 | − | 0.971356i | −0.999994 | − | 0.00336004i | \(-0.998930\pi\) |
0.250967 | − | 0.967996i | \(-0.419251\pi\) | |||||||
\(692\) | −3.95115 | + | 8.65181i | −0.150200 | + | 0.328892i | ||||
\(693\) | −6.11877 | − | 35.1015i | −0.232433 | − | 1.33339i | ||||
\(694\) | −2.31587 | − | 5.07105i | −0.0879092 | − | 0.192494i | ||||
\(695\) | −5.05526 | + | 9.58079i | −0.191757 | + | 0.363420i | ||||
\(696\) | −3.66541 | − | 0.634323i | −0.138937 | − | 0.0240440i | ||||
\(697\) | 1.69837 | + | 0.194870i | 0.0643305 | + | 0.00738124i | ||||
\(698\) | 10.2416 | + | 10.5383i | 0.387649 | + | 0.398881i | ||||
\(699\) | −1.89843 | + | 1.37929i | −0.0718053 | + | 0.0521696i | ||||
\(700\) | −6.67555 | − | 5.45857i | −0.252312 | − | 0.206315i | ||||
\(701\) | 5.03613 | − | 0.577842i | 0.190212 | − | 0.0218248i | −0.0183619 | − | 0.999831i | \(-0.505845\pi\) |
0.208574 | + | 0.978007i | \(0.433118\pi\) | |||||||
\(702\) | 27.7036 | + | 1.58415i | 1.04560 | + | 0.0597898i | ||||
\(703\) | −15.9323 | − | 4.67816i | −0.600900 | − | 0.176440i | ||||
\(704\) | −2.50388 | + | 2.17499i | −0.0943685 | + | 0.0819731i | ||||
\(705\) | 2.61720 | − | 0.768479i | 0.0985695 | − | 0.0289426i | ||||
\(706\) | 4.69539 | − | 1.09187i | 0.176713 | − | 0.0410929i | ||||
\(707\) | 58.9363 | + | 54.0913i | 2.21653 | + | 2.03431i | ||||
\(708\) | 4.43277 | − | 7.35093i | 0.166594 | − | 0.276265i | ||||
\(709\) | −33.4040 | − | 18.8641i | −1.25451 | − | 0.708456i | −0.286193 | − | 0.958172i | \(-0.592390\pi\) |
−0.968319 | + | 0.249716i | \(0.919663\pi\) | |||||||
\(710\) | 5.71838 | − | 2.04032i | 0.214607 | − | 0.0765717i | ||||
\(711\) | 3.95900 | − | 15.0616i | 0.148474 | − | 0.564854i | ||||
\(712\) | 7.98353 | − | 6.52810i | 0.299195 | − | 0.244651i | ||||
\(713\) | −4.08455 | + | 4.20291i | −0.152968 | + | 0.157400i | ||||
\(714\) | −0.351458 | + | 2.44444i | −0.0131530 | + | 0.0914810i | ||||
\(715\) | 17.1453 | − | 30.4473i | 0.641198 | − | 1.13867i | ||||
\(716\) | −3.12368 | − | 21.7257i | −0.116737 | − | 0.811926i | ||||
\(717\) | 6.00150 | + | 4.36034i | 0.224130 | + | 0.162840i | ||||
\(718\) | −1.57506 | − | 5.99215i | −0.0587807 | − | 0.223625i | ||||
\(719\) | −8.49218 | − | 12.4194i | −0.316705 | − | 0.463166i | 0.633969 | − | 0.773359i | \(-0.281425\pi\) |
−0.950674 | + | 0.310192i | \(0.899607\pi\) | |||||||
\(720\) | 3.77106 | + | 0.876923i | 0.140539 | + | 0.0326810i | ||||
\(721\) | 80.3641 | − | 4.59538i | 2.99292 | − | 0.171141i | ||||
\(722\) | −4.11687 | + | 0.712453i | −0.153214 | + | 0.0265147i | ||||
\(723\) | 2.26718 | − | 6.97767i | 0.0843174 | − | 0.259502i | ||||
\(724\) | −0.556999 | − | 6.48502i | −0.0207007 | − | 0.241014i | ||||
\(725\) | −6.86129 | −0.254822 | ||||||||
\(726\) | 10.0707 | − | 1.76819i | 0.373759 | − | 0.0656235i | ||||
\(727\) | 10.3578 | 0.384151 | 0.192075 | − | 0.981380i | \(-0.438478\pi\) | ||||
0.192075 | + | 0.981380i | \(0.438478\pi\) | |||||||
\(728\) | −2.50172 | − | 29.1270i | −0.0927198 | − | 1.07952i | ||||
\(729\) | 2.81328 | − | 8.65838i | 0.104195 | − | 0.320681i | ||||
\(730\) | 25.9577 | − | 4.49216i | 0.960738 | − | 0.166262i | ||||
\(731\) | 4.41086 | − | 0.252222i | 0.163142 | − | 0.00932878i | ||||
\(732\) | 0.939819 | + | 0.218546i | 0.0347367 | + | 0.00807767i | ||||
\(733\) | −8.80090 | − | 12.8709i | −0.325068 | − | 0.475398i | 0.627974 | − | 0.778234i | \(-0.283884\pi\) |
−0.953042 | + | 0.302837i | \(0.902066\pi\) | |||||||
\(734\) | 0.195853 | + | 0.745103i | 0.00722908 | + | 0.0275023i | ||||
\(735\) | −24.9395 | − | 18.1196i | −0.919908 | − | 0.668352i | ||||
\(736\) | 0.685051 | + | 4.76463i | 0.0252513 | + | 0.175627i | ||||
\(737\) | 0.729165 | + | 0.560850i | 0.0268591 | + | 0.0206592i | ||||
\(738\) | −0.983761 | + | 6.84221i | −0.0362128 | + | 0.251865i | ||||
\(739\) | −23.4281 | + | 24.1069i | −0.861815 | + | 0.886787i | −0.994539 | − | 0.104366i | \(-0.966719\pi\) |
0.132724 | + | 0.991153i | \(0.457628\pi\) | |||||||
\(740\) | 6.05211 | − | 4.94879i | 0.222480 | − | 0.181921i | ||||
\(741\) | −5.28786 | + | 20.1171i | −0.194255 | + | 0.739021i | ||||
\(742\) | −41.0200 | + | 14.6359i | −1.50589 | + | 0.537301i | ||||
\(743\) | −38.8945 | − | 21.9647i | −1.42690 | − | 0.805808i | −0.431546 | − | 0.902091i | \(-0.642032\pi\) |
−0.995354 | + | 0.0962832i | \(0.969305\pi\) | |||||||
\(744\) | −0.584417 | + | 0.969146i | −0.0214258 | + | 0.0355306i | ||||
\(745\) | −13.1013 | − | 12.0243i | −0.479994 | − | 0.440534i | ||||
\(746\) | −17.9100 | + | 4.16480i | −0.655732 | + | 0.152484i | ||||
\(747\) | 20.8758 | − | 6.12970i | 0.763807 | − | 0.224274i | ||||
\(748\) | 1.73445 | + | 0.247212i | 0.0634177 | + | 0.00903895i | ||||
\(749\) | 42.6597 | + | 12.5260i | 1.55875 | + | 0.457691i | ||||
\(750\) | −11.2945 | − | 0.645841i | −0.412416 | − | 0.0235828i | ||||
\(751\) | 10.2716 | − | 1.17856i | 0.374816 | − | 0.0430061i | 0.0754632 | − | 0.997149i | \(-0.475956\pi\) |
0.299353 | + | 0.954142i | \(0.403229\pi\) | |||||||
\(752\) | −1.25330 | − | 1.02482i | −0.0457031 | − | 0.0373712i | ||||
\(753\) | −18.0653 | + | 13.1252i | −0.658337 | + | 0.478309i | ||||
\(754\) | −16.2115 | − | 16.6813i | −0.590389 | − | 0.607496i | ||||
\(755\) | 40.0215 | + | 4.59204i | 1.45653 | + | 0.167121i | ||||
\(756\) | −23.6596 | − | 4.09445i | −0.860490 | − | 0.148914i | ||||
\(757\) | 10.9603 | − | 20.7720i | 0.398357 | − | 0.754971i | −0.600650 | − | 0.799512i | \(-0.705092\pi\) |
0.999008 | + | 0.0445409i | \(0.0141825\pi\) | |||||||
\(758\) | 11.4022 | + | 24.9673i | 0.414146 | + | 0.906854i | ||||
\(759\) | 5.75999 | − | 13.6764i | 0.209074 | − | 0.496421i | ||||
\(760\) | −2.89892 | + | 6.34774i | −0.105155 | + | 0.230257i | ||||
\(761\) | 12.6414 | + | 16.3936i | 0.458249 | + | 0.594267i | 0.963168 | − | 0.268899i | \(-0.0866597\pi\) |
−0.504920 | + | 0.863166i | \(0.668478\pi\) | |||||||
\(762\) | −3.60238 | − | 1.77117i | −0.130501 | − | 0.0641628i | ||||
\(763\) | −18.9306 | + | 9.30754i | −0.685333 | + | 0.336955i | ||||
\(764\) | −9.71394 | + | 12.5973i | −0.351438 | + | 0.455753i | ||||
\(765\) | −0.954419 | − | 1.80883i | −0.0345071 | − | 0.0653982i | ||||
\(766\) | 2.90379 | + | 8.93694i | 0.104918 | + | 0.322905i | ||||
\(767\) | 49.4435 | − | 20.8950i | 1.78530 | − | 0.754475i | ||||
\(768\) | 0.337238 | + | 0.866190i | 0.0121690 | + | 0.0312559i | ||||
\(769\) | −19.0642 | + | 12.2518i | −0.687473 | + | 0.441812i | −0.837186 | − | 0.546918i | \(-0.815801\pi\) |
0.149714 | + | 0.988729i | \(0.452165\pi\) | |||||||
\(770\) | −17.7425 | + | 24.4834i | −0.639395 | + | 0.882319i | ||||
\(771\) | 12.3242 | + | 7.92026i | 0.443844 | + | 0.285241i | ||||
\(772\) | 4.27513 | − | 21.0986i | 0.153865 | − | 0.759356i | ||||
\(773\) | −27.5965 | − | 45.7636i | −0.992576 | − | 1.64600i | −0.732937 | − | 0.680297i | \(-0.761851\pi\) |
−0.259640 | − | 0.965706i | \(-0.583604\pi\) | |||||||
\(774\) | 0.510149 | + | 17.8575i | 0.0183369 | + | 0.641876i | ||||
\(775\) | −0.757340 | + | 1.94521i | −0.0272045 | + | 0.0698741i | ||||
\(776\) | 1.64434 | + | 8.11516i | 0.0590285 | + | 0.291317i | ||||
\(777\) | −14.8556 | + | 13.6344i | −0.532943 | + | 0.489131i | ||||
\(778\) | 8.63468 | − | 12.6278i | 0.309568 | − | 0.452729i | ||||
\(779\) | −11.7347 | − | 4.18694i | −0.420440 | − | 0.150013i | ||||
\(780\) | −6.41314 | − | 7.40116i | −0.229627 | − | 0.265004i | ||||
\(781\) | 4.33706 | + | 10.2278i | 0.155192 | + | 0.365980i | ||||
\(782\) | 1.66515 | − | 1.92169i | 0.0595457 | − | 0.0687194i | ||||
\(783\) | −16.6359 | + | 9.39470i | −0.594517 | + | 0.335739i | ||||
\(784\) | −0.522477 | + | 18.2891i | −0.0186599 | + | 0.653181i | ||||
\(785\) | 26.1914 | + | 11.0686i | 0.934812 | + | 0.395055i | ||||
\(786\) | 0.872938 | − | 10.1634i | 0.0311367 | − | 0.362518i | ||||
\(787\) | −3.02312 | + | 35.1975i | −0.107762 | + | 1.25466i | 0.720158 | + | 0.693810i | \(0.244069\pi\) |
−0.827921 | + | 0.560845i | \(0.810476\pi\) | |||||||
\(788\) | 8.79651 | + | 3.71744i | 0.313363 | + | 0.132428i | ||||
\(789\) | −0.746355 | + | 26.1258i | −0.0265709 | + | 0.930104i | ||||
\(790\) | −11.5073 | + | 6.49846i | −0.409411 | + | 0.231205i | ||||
\(791\) | −33.9765 | + | 39.2110i | −1.20807 | + | 1.39418i | ||||
\(792\) | −1.19949 | + | 6.98198i | −0.0426219 | + | 0.248094i | ||||
\(793\) | 3.95120 | + | 4.55993i | 0.140311 | + | 0.161928i | ||||
\(794\) | −20.7407 | − | 7.40025i | −0.736059 | − | 0.262625i | ||||
\(795\) | −8.23508 | + | 12.0434i | −0.292068 | + | 0.427136i | ||||
\(796\) | 17.8425 | − | 16.3757i | 0.632410 | − | 0.580421i | ||||
\(797\) | 3.79206 | + | 18.7146i | 0.134322 | + | 0.662904i | 0.989496 | + | 0.144563i | \(0.0461776\pi\) |
−0.855174 | + | 0.518341i | \(0.826550\pi\) | |||||||
\(798\) | 6.53010 | − | 16.7724i | 0.231163 | − | 0.593737i | ||||
\(799\) | 0.0244210 | + | 0.854848i | 0.000863954 | + | 0.0302423i | ||||
\(800\) | 0.885361 | + | 1.46821i | 0.0313022 | + | 0.0519089i | ||||
\(801\) | 4.37453 | − | 21.5892i | 0.154566 | − | 0.762815i | ||||
\(802\) | 10.5810 | + | 6.80000i | 0.373628 | + | 0.240116i | ||||
\(803\) | 10.9751 | + | 46.9364i | 0.387303 | + | 1.65635i | ||||
\(804\) | 0.216888 | − | 0.139386i | 0.00764906 | − | 0.00491575i | ||||
\(805\) | 15.9214 | + | 40.8937i | 0.561155 | + | 1.44131i | ||||
\(806\) | −6.51864 | + | 2.75480i | −0.229609 | + | 0.0970336i | ||||
\(807\) | −5.35147 | − | 16.4701i | −0.188381 | − | 0.579776i | ||||
\(808\) | −7.42241 | − | 14.0670i | −0.261119 | − | 0.494876i | ||||
\(809\) | 26.4186 | − | 34.2603i | 0.928830 | − | 1.20453i | −0.0497714 | − | 0.998761i | \(-0.515849\pi\) |
0.978601 | − | 0.205767i | \(-0.0659689\pi\) | |||||||
\(810\) | 3.20508 | − | 1.57583i | 0.112615 | − | 0.0553692i | ||||
\(811\) | −16.1962 | − | 7.96311i | −0.568724 | − | 0.279623i | 0.134122 | − | 0.990965i | \(-0.457179\pi\) |
−0.702846 | + | 0.711342i | \(0.748088\pi\) | |||||||
\(812\) | 12.2911 | + | 15.9394i | 0.431333 | + | 0.559363i | ||||
\(813\) | 3.55083 | − | 7.77522i | 0.124533 | − | 0.272689i | ||||
\(814\) | 9.68543 | + | 10.5271i | 0.339474 | + | 0.368975i | ||||
\(815\) | 4.39868 | + | 9.63177i | 0.154079 | + | 0.337386i | ||||
\(816\) | 0.229140 | − | 0.434268i | 0.00802149 | − | 0.0152024i | ||||
\(817\) | −31.7282 | − | 5.49077i | −1.11003 | − | 0.192098i | ||||
\(818\) | 4.22243 | + | 0.484478i | 0.147634 | + | 0.0169394i | ||||
\(819\) | −43.5194 | − | 44.7805i | −1.52069 | − | 1.56476i | ||||
\(820\) | 4.74570 | − | 3.44795i | 0.165727 | − | 0.120408i | ||||
\(821\) | 14.5184 | + | 11.8716i | 0.506696 | + | 0.414323i | 0.851502 | − | 0.524351i | \(-0.175692\pi\) |
−0.344807 | + | 0.938674i | \(0.612056\pi\) | |||||||
\(822\) | 13.6102 | − | 1.56163i | 0.474712 | − | 0.0544681i | ||||
\(823\) | 8.31079 | + | 0.475228i | 0.289696 | + | 0.0165654i | 0.201333 | − | 0.979523i | \(-0.435473\pi\) |
0.0883632 | + | 0.996088i | \(0.471836\pi\) | |||||||
\(824\) | −15.3561 | − | 4.50897i | −0.534957 | − | 0.157077i | ||||
\(825\) | −0.00646393 | − | 5.28558i | −0.000225045 | − | 0.184020i | ||||
\(826\) | −44.5660 | + | 13.0857i | −1.55065 | + | 0.455311i | ||||
\(827\) | 15.7123 | − | 3.65375i | 0.546371 | − | 0.127053i | 0.0557802 | − | 0.998443i | \(-0.482235\pi\) |
0.490591 | + | 0.871390i | \(0.336781\pi\) | |||||||
\(828\) | 7.57506 | + | 6.95232i | 0.263251 | + | 0.241610i | ||||
\(829\) | 9.90285 | − | 16.4220i | 0.343940 | − | 0.570361i | −0.635499 | − | 0.772102i | \(-0.719205\pi\) |
0.979439 | + | 0.201741i | \(0.0646600\pi\) | |||||||
\(830\) | −16.0767 | − | 9.07892i | −0.558030 | − | 0.315134i | ||||
\(831\) | 9.45804 | − | 3.37462i | 0.328096 | − | 0.117064i | ||||
\(832\) | −1.47764 | + | 5.62151i | −0.0512278 | + | 0.194891i | ||||
\(833\) | 7.48207 | − | 6.11805i | 0.259238 | − | 0.211978i | ||||
\(834\) | −3.87159 | + | 3.98377i | −0.134062 | + | 0.137947i | ||||
\(835\) | −3.71442 | + | 25.8344i | −0.128543 | + | 0.894035i | ||||
\(836\) | −11.9044 | − | 4.61805i | −0.411723 | − | 0.159719i | ||||
\(837\) | 0.827204 | + | 5.75333i | 0.0285924 | + | 0.198864i | ||||
\(838\) | 17.6922 | + | 12.8541i | 0.611167 | + | 0.444039i | ||||
\(839\) | −5.66543 | − | 21.5535i | −0.195592 | − | 0.744110i | −0.990516 | − | 0.137400i | \(-0.956125\pi\) |
0.794923 | − | 0.606710i | \(-0.207511\pi\) | |||||||
\(840\) | 4.78313 | + | 6.99511i | 0.165034 | + | 0.241354i | ||||
\(841\) | −12.6471 | − | 2.94096i | −0.436107 | − | 0.101412i | ||||
\(842\) | −5.94553 | + | 0.339978i | −0.204897 | + | 0.0117164i | ||||
\(843\) | 24.3266 | − | 4.20988i | 0.837852 | − | 0.144996i | ||||
\(844\) | −8.17067 | + | 25.1467i | −0.281246 | + | 0.865586i | ||||
\(845\) | −3.22399 | − | 37.5362i | −0.110909 | − | 1.29129i | ||||
\(846\) | −3.45806 | −0.118890 | ||||||||
\(847\) | −46.6156 | − | 29.7971i | −1.60173 | − | 1.02384i | ||||
\(848\) | 8.65937 | 0.297364 | ||||||||
\(849\) | −1.68396 | − | 19.6060i | −0.0577934 | − | 0.672876i | ||||
\(850\) | 0.279866 | − | 0.861340i | 0.00959934 | − | 0.0295437i | ||||
\(851\) | 20.4574 | − | 3.54029i | 0.701270 | − | 0.121360i | ||||
\(852\) | 3.10846 | − | 0.177748i | 0.106494 | − | 0.00608954i | ||||
\(853\) | −11.8370 | − | 2.75258i | −0.405292 | − | 0.0942466i | 0.0188946 | − | 0.999821i | \(-0.493985\pi\) |
−0.424186 | + | 0.905575i | \(0.639440\pi\) | |||||||
\(854\) | −2.94693 | − | 4.30975i | −0.100842 | − | 0.147477i | ||||
\(855\) | 3.78930 | + | 14.4160i | 0.129591 | + | 0.493016i | ||||
\(856\) | −7.15160 | − | 5.19594i | −0.244437 | − | 0.177594i | ||||
\(857\) | −0.825634 | − | 5.74241i | −0.0282031 | − | 0.196157i | 0.970849 | − | 0.239693i | \(-0.0770468\pi\) |
−0.999052 | + | 0.0435359i | \(0.986138\pi\) | |||||||
\(858\) | 12.8351 | − | 12.5042i | 0.438183 | − | 0.426887i | ||||
\(859\) | 6.00535 | − | 41.7681i | 0.204900 | − | 1.42511i | −0.584581 | − | 0.811335i | \(-0.698741\pi\) |
0.789481 | − | 0.613775i | \(-0.210350\pi\) | |||||||
\(860\) | 10.5656 | − | 10.8718i | 0.360285 | − | 0.370724i | ||||
\(861\) | −11.7126 | + | 9.57733i | −0.399164 | + | 0.326394i | ||||
\(862\) | 3.88728 | − | 14.7888i | 0.132401 | − | 0.503707i | ||||
\(863\) | −16.2470 | + | 5.79692i | −0.553055 | + | 0.197329i | −0.597766 | − | 0.801670i | \(-0.703945\pi\) |
0.0447116 | + | 0.999000i | \(0.485763\pi\) | |||||||
\(864\) | 4.15696 | + | 2.34754i | 0.141423 | + | 0.0798650i | ||||
\(865\) | 8.90279 | − | 14.7636i | 0.302704 | − | 0.501978i | ||||
\(866\) | −26.6138 | − | 24.4259i | −0.904372 | − | 0.830025i | ||||
\(867\) | 15.1386 | − | 3.52033i | 0.514134 | − | 0.119557i | ||||
\(868\) | 5.87558 | − | 1.72523i | 0.199430 | − | 0.0585580i | ||||
\(869\) | −13.0982 | − | 20.3265i | −0.444325 | − | 0.689528i | ||||
\(870\) | 6.46953 | + | 1.89963i | 0.219338 | + | 0.0644033i | ||||
\(871\) | 1.60954 | + | 0.0920366i | 0.0545371 | + | 0.00311854i | ||||
\(872\) | 4.16685 | − | 0.478101i | 0.141107 | − | 0.0161906i | ||||
\(873\) | 13.6916 | + | 11.1955i | 0.463389 | + | 0.378912i | ||||
\(874\) | −14.9928 | + | 10.8929i | −0.507139 | + | 0.368458i | ||||
\(875\) | 42.6618 | + | 43.8979i | 1.44223 | + | 1.48402i | ||||
\(876\) | 13.4213 | + | 1.53995i | 0.453463 | + | 0.0520300i | ||||
\(877\) | −43.4241 | − | 7.51483i | −1.46633 | − | 0.253758i | −0.619236 | − | 0.785205i | \(-0.712557\pi\) |
−0.847091 | + | 0.531447i | \(0.821648\pi\) | |||||||
\(878\) | −6.68730 | + | 12.6739i | −0.225686 | + | 0.427722i | ||||
\(879\) | −6.56596 | − | 14.3775i | −0.221464 | − | 0.484940i | ||||
\(880\) | 4.95834 | − | 3.39933i | 0.167146 | − | 0.114591i | ||||
\(881\) | 2.80772 | − | 6.14804i | 0.0945943 | − | 0.207133i | −0.856420 | − | 0.516280i | \(-0.827316\pi\) |
0.951014 | + | 0.309147i | \(0.100044\pi\) | |||||||
\(882\) | 23.8648 | + | 30.9484i | 0.803570 | + | 1.04209i | ||||
\(883\) | 0.545482 | + | 0.268196i | 0.0183569 | + | 0.00902550i | 0.450376 | − | 0.892839i | \(-0.351290\pi\) |
−0.432020 | + | 0.901864i | \(0.642199\pi\) | |||||||
\(884\) | 2.75536 | − | 1.35472i | 0.0926728 | − | 0.0455641i | ||||
\(885\) | −9.50130 | + | 12.3215i | −0.319383 | + | 0.414183i | ||||
\(886\) | −8.83784 | − | 16.7496i | −0.296913 | − | 0.562713i | ||||
\(887\) | 11.5520 | + | 35.5535i | 0.387880 | + | 1.19377i | 0.934370 | + | 0.356305i | \(0.115964\pi\) |
−0.546490 | + | 0.837466i | \(0.684036\pi\) | |||||||
\(888\) | 3.69287 | − | 1.56062i | 0.123925 | − | 0.0523709i | ||||
\(889\) | 7.88045 | + | 20.2408i | 0.264302 | + | 0.678854i | ||||
\(890\) | −15.7254 | + | 10.1061i | −0.527118 | + | 0.338758i | ||||
\(891\) | 3.22046 | + | 5.68644i | 0.107889 | + | 0.190503i | ||||
\(892\) | 4.35502 | + | 2.79880i | 0.145817 | + | 0.0937107i | ||||
\(893\) | 1.23778 | − | 6.10870i | 0.0414208 | − | 0.204420i | ||||
\(894\) | −4.70915 | − | 7.80925i | −0.157497 | − | 0.261180i | ||||
\(895\) | 1.13610 | + | 39.7686i | 0.0379755 | + | 1.32932i | ||||
\(896\) | 1.82477 | − | 4.68687i | 0.0609611 | − | 0.156577i | ||||
\(897\) | −5.16478 | − | 25.4892i | −0.172447 | − | 0.851060i | ||||
\(898\) | 0.507600 | − | 0.465871i | 0.0169388 | − | 0.0155463i | ||||
\(899\) | 2.75022 | − | 4.02207i | 0.0917251 | − | 0.134144i | ||||
\(900\) | 3.44916 | + | 1.23066i | 0.114972 | + | 0.0410220i | ||||
\(901\) | −2.99549 | − | 3.45698i | −0.0997941 | − | 0.115169i | ||||
\(902\) | 6.80453 | + | 8.30086i | 0.226566 | + | 0.276388i | ||||
\(903\) | −25.6059 | + | 29.5508i | −0.852111 | + | 0.983388i | ||||
\(904\) | 8.98237 | − | 5.07258i | 0.298749 | − | 0.168711i | ||||
\(905\) | −0.336904 | + | 11.7932i | −0.0111991 | + | 0.392019i | ||||
\(906\) | 19.0288 | + | 8.04162i | 0.632188 | + | 0.267165i | ||||
\(907\) | 2.57878 | − | 30.0242i | 0.0856270 | − | 0.996937i | −0.819860 | − | 0.572564i | \(-0.805949\pi\) |
0.905487 | − | 0.424373i | \(-0.139506\pi\) | |||||||
\(908\) | −0.103041 | + | 1.19969i | −0.00341954 | + | 0.0398130i | ||||
\(909\) | −31.2935 | − | 13.2247i | −1.03794 | − | 0.438637i | ||||
\(910\) | −1.51318 | + | 52.9682i | −0.0501614 | + | 1.75588i | ||||
\(911\) | −21.9933 | + | 12.4202i | −0.728671 | + | 0.411499i | −0.810954 | − | 0.585110i | \(-0.801051\pi\) |
0.0822833 | + | 0.996609i | \(0.473779\pi\) | |||||||
\(912\) | −2.34348 | + | 2.70452i | −0.0776005 | + | 0.0895557i | ||||
\(913\) | 14.8688 | − | 30.3352i | 0.492084 | − | 1.00395i | ||||
\(914\) | 17.2098 | + | 19.8612i | 0.569250 | + | 0.656949i | ||||
\(915\) | −1.64725 | − | 0.587738i | −0.0544565 | − | 0.0194300i | ||||
\(916\) | 6.65531 | − | 9.73308i | 0.219898 | − | 0.321590i | ||||
\(917\) | −40.6651 | + | 37.3221i | −1.34288 | + | 1.23248i | ||||
\(918\) | −0.500812 | − | 2.47161i | −0.0165293 | − | 0.0815751i | ||||
\(919\) | −9.56292 | + | 24.5622i | −0.315452 | + | 0.810231i | 0.681471 | + | 0.731845i | \(0.261340\pi\) |
−0.996923 | + | 0.0783863i | \(0.975023\pi\) | |||||||
\(920\) | −0.249156 | − | 8.72161i | −0.00821444 | − | 0.287543i | ||||
\(921\) | 2.56178 | + | 4.24824i | 0.0844136 | + | 0.139984i | ||||
\(922\) | 3.02880 | − | 14.9477i | 0.0997482 | − | 0.492277i | ||||
\(923\) | 16.3787 | + | 10.5260i | 0.539113 | + | 0.346467i | ||||
\(924\) | −12.2673 | + | 9.48344i | −0.403564 | + | 0.311982i | ||||
\(925\) | 6.22083 | − | 3.99789i | 0.204540 | − | 0.131450i | ||||
\(926\) | 8.48720 | + | 21.7992i | 0.278907 | + | 0.716366i | ||||
\(927\) | −31.4888 | + | 13.3073i | −1.03423 | + | 0.437069i | ||||
\(928\) | −1.23666 | − | 3.80606i | −0.0405955 | − | 0.124940i | ||||
\(929\) | 18.4749 | + | 35.0137i | 0.606140 | + | 1.14876i | 0.975608 | + | 0.219520i | \(0.0704491\pi\) |
−0.369468 | + | 0.929244i | \(0.620460\pi\) | |||||||
\(930\) | 1.25265 | − | 1.62447i | 0.0410761 | − | 0.0532684i | ||||
\(931\) | −63.2130 | + | 31.0798i | −2.07172 | + | 1.01860i | ||||
\(932\) | −2.26549 | − | 1.11387i | −0.0742086 | − | 0.0364859i | ||||
\(933\) | 4.26959 | + | 5.53690i | 0.139780 | + | 0.181270i | ||||
\(934\) | 11.6550 | − | 25.5208i | 0.381362 | − | 0.835067i | ||||
\(935\) | −3.07228 | − | 0.803546i | −0.100474 | − | 0.0262788i | ||||
\(936\) | 5.15752 | + | 11.2934i | 0.168579 | + | 0.369136i | ||||
\(937\) | −24.0133 | + | 45.5103i | −0.784482 | + | 1.48676i | 0.0869347 | + | 0.996214i | \(0.472293\pi\) |
−0.871416 | + | 0.490544i | \(0.836798\pi\) | |||||||
\(938\) | −1.37459 | − | 0.237881i | −0.0448818 | − | 0.00776710i | ||||
\(939\) | −0.554521 | − | 0.0636253i | −0.0180961 | − | 0.00207633i | ||||
\(940\) | 2.04517 | + | 2.10443i | 0.0667060 | + | 0.0686388i | ||||
\(941\) | 10.0890 | − | 7.33005i | 0.328890 | − | 0.238953i | −0.411069 | − | 0.911604i | \(-0.634845\pi\) |
0.739960 | + | 0.672651i | \(0.234845\pi\) | |||||||
\(942\) | 11.2881 | + | 9.23024i | 0.367786 | + | 0.300737i | ||||
\(943\) | 15.4765 | − | 1.77577i | 0.503985 | − | 0.0578269i | ||||
\(944\) | 9.21981 | + | 0.527208i | 0.300079 | + | 0.0171592i | ||||
\(945\) | 41.7597 | + | 12.2618i | 1.35844 | + | 0.398875i | ||||
\(946\) | 20.9862 | + | 18.1398i | 0.682321 | + | 0.589775i | ||||
\(947\) | 50.0033 | − | 14.6823i | 1.62489 | − | 0.477111i | 0.662563 | − | 0.749006i | \(-0.269469\pi\) |
0.962327 | + | 0.271895i | \(0.0876504\pi\) | |||||||
\(948\) | −6.60093 | + | 1.53498i | −0.214388 | + | 0.0498538i | ||||
\(949\) | 62.2370 | + | 57.1206i | 2.02030 | + | 1.85421i | ||||
\(950\) | −3.40857 | + | 5.65248i | −0.110589 | + | 0.183391i | ||||
\(951\) | 12.2540 | + | 6.92015i | 0.397363 | + | 0.224401i | ||||
\(952\) | −2.50231 | + | 0.892824i | −0.0811005 | + | 0.0289366i | ||||
\(953\) | −1.06401 | + | 4.04790i | −0.0344665 | + | 0.131124i | −0.982155 | − | 0.188071i | \(-0.939776\pi\) |
0.947689 | + | 0.319196i | \(0.103413\pi\) | |||||||
\(954\) | 14.3187 | − | 11.7084i | 0.463587 | − | 0.379073i | ||||
\(955\) | 20.0955 | − | 20.6778i | 0.650276 | − | 0.669118i | ||||
\(956\) | −1.13577 | + | 7.89948i | −0.0367335 | + | 0.255487i | ||||
\(957\) | −2.77970 | + | 12.0203i | −0.0898549 | + | 0.388560i | ||||
\(958\) | −4.79249 | − | 33.3325i | −0.154838 | − | 1.07692i | ||||
\(959\) | −59.9699 | − | 43.5707i | −1.93653 | − | 1.40697i | ||||
\(960\) | −0.428320 | − | 1.62950i | −0.0138240 | − | 0.0525918i | ||||
\(961\) | 16.6610 | + | 24.3660i | 0.537452 | + | 0.785999i | ||||
\(962\) | 24.4180 | + | 5.67817i | 0.787268 | + | 0.183071i | ||||
\(963\) | −18.8510 | + | 1.07794i | −0.607466 | + | 0.0347362i | ||||
\(964\) | 7.77742 | − | 1.34594i | 0.250494 | − | 0.0433497i | ||||
\(965\) | −12.0580 | + | 37.1107i | −0.388160 | + | 1.19463i | ||||
\(966\) | 1.92580 | + | 22.4216i | 0.0619615 | + | 0.721405i | ||||
\(967\) | −15.8227 | −0.508823 | −0.254411 | − | 0.967096i | \(-0.581882\pi\) | ||||
−0.254411 | + | 0.967096i | \(0.581882\pi\) | |||||||
\(968\) | 6.73841 | + | 8.69447i | 0.216581 | + | 0.279451i | ||||
\(969\) | 1.89036 | 0.0607272 | ||||||||
\(970\) | −1.28435 | − | 14.9534i | −0.0412379 | − | 0.480124i | ||||
\(971\) | −2.84866 | + | 8.76728i | −0.0914179 | + | 0.281355i | −0.986304 | − | 0.164940i | \(-0.947257\pi\) |
0.894886 | + | 0.446295i | \(0.147257\pi\) | |||||||
\(972\) | 15.9170 | − | 2.75455i | 0.510538 | − | 0.0883521i | ||||
\(973\) | 30.0094 | − | 1.71600i | 0.962056 | − | 0.0550124i | ||||
\(974\) | −7.49585 | − | 1.74309i | −0.240183 | − | 0.0558521i | ||||
\(975\) | −5.22850 | − | 7.64644i | −0.167446 | − | 0.244882i | ||||
\(976\) | 0.263892 | + | 1.00395i | 0.00844698 | + | 0.0321356i | ||||
\(977\) | 39.7243 | + | 28.8614i | 1.27089 | + | 0.923358i | 0.999238 | − | 0.0390365i | \(-0.0124289\pi\) |
0.271656 | + | 0.962395i | \(0.412429\pi\) | |||||||
\(978\) | 0.772769 | + | 5.37473i | 0.0247104 | + | 0.171865i | ||||
\(979\) | −20.1382 | − | 27.6466i | −0.643618 | − | 0.883590i | ||||
\(980\) | 4.71976 | − | 32.8267i | 0.150767 | − | 1.04861i | ||||
\(981\) | 6.24367 | − | 6.42459i | 0.199345 | − | 0.205121i | ||||
\(982\) | −9.71080 | + | 7.94048i | −0.309884 | + | 0.253391i | ||||
\(983\) | −0.726540 | + | 2.76404i | −0.0231730 | + | 0.0881593i | −0.977728 | − | 0.209874i | \(-0.932694\pi\) |
0.954555 | + | 0.298034i | \(0.0963308\pi\) | |||||||
\(984\) | 2.83322 | − | 1.01089i | 0.0903198 | − | 0.0322260i | ||||
\(985\) | −15.0725 | − | 8.51183i | −0.480249 | − | 0.271209i | ||||
\(986\) | −1.09166 | + | 1.81031i | −0.0347654 | + | 0.0576520i | ||||
\(987\) | −5.57622 | − | 5.11780i | −0.177493 | − | 0.162902i | ||||
\(988\) | −21.7960 | + | 5.06845i | −0.693424 | + | 0.161249i | ||||
\(989\) | 38.6291 | − | 11.3425i | 1.22833 | − | 0.360671i | ||||
\(990\) | 3.60263 | − | 12.3252i | 0.114499 | − | 0.391720i | ||||
\(991\) | −9.86176 | − | 2.89568i | −0.313269 | − | 0.0919842i | 0.121319 | − | 0.992614i | \(-0.461288\pi\) |
−0.434588 | + | 0.900629i | \(0.643106\pi\) | |||||||
\(992\) | −1.21554 | − | 0.0695071i | −0.0385934 | − | 0.00220685i | ||||
\(993\) | −6.81843 | + | 0.782341i | −0.216376 | + | 0.0248269i | ||||
\(994\) | −13.0420 | − | 10.6644i | −0.413667 | − | 0.338254i | ||||
\(995\) | −35.5140 | + | 25.8024i | −1.12587 | + | 0.817991i | ||||
\(996\) | −6.59869 | − | 6.78990i | −0.209088 | − | 0.215146i | ||||
\(997\) | −6.59977 | − | 0.757253i | −0.209017 | − | 0.0239825i | 0.00885051 | − | 0.999961i | \(-0.497183\pi\) |
−0.217867 | + | 0.975978i | \(0.569910\pi\) | |||||||
\(998\) | −12.4279 | − | 2.15074i | −0.393399 | − | 0.0680804i | ||||
\(999\) | 9.60897 | − | 18.2110i | 0.304015 | − | 0.576172i |
(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 | 242.2.g.a.15.2 | ✓ | 200 | |
121.113 | even | 55 | inner | 242.2.g.a.113.2 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
242.2.g.a.15.2 | ✓ | 200 | 1.1 | even | 1 | trivial | |
242.2.g.a.113.2 | yes | 200 | 121.113 | even | 55 | inner |