Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,2,Mod(11,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.o (of order \(8\), 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: | \(0.766563859404\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 96.11 |
Dual form | 96.2.o.a.35.13 |
$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.12377 | − | 0.858568i | 0.794626 | − | 0.607100i | ||||
\(3\) | 1.25135 | + | 1.19755i | 0.722465 | + | 0.691408i | ||||
\(4\) | 0.525721 | − | 1.92967i | 0.262860 | − | 0.964834i | ||||
\(5\) | −2.18808 | − | 0.906333i | −0.978540 | − | 0.405324i | −0.164655 | − | 0.986351i | \(-0.552651\pi\) |
−0.813884 | + | 0.581027i | \(0.802651\pi\) | |||||||
\(6\) | 2.43441 | + | 0.271409i | 0.993842 | + | 0.110802i | ||||
\(7\) | −1.93241 | + | 1.93241i | −0.730381 | + | 0.730381i | −0.970695 | − | 0.240314i | \(-0.922750\pi\) |
0.240314 | + | 0.970695i | \(0.422750\pi\) | |||||||
\(8\) | −1.06596 | − | 2.61987i | −0.376875 | − | 0.926264i | ||||
\(9\) | 0.131733 | + | 2.99711i | 0.0439110 | + | 0.999035i | ||||
\(10\) | −3.23705 | + | 0.860107i | −1.02365 | + | 0.271990i | ||||
\(11\) | 1.42447 | + | 0.590036i | 0.429495 | + | 0.177903i | 0.586949 | − | 0.809624i | \(-0.300329\pi\) |
−0.157454 | + | 0.987526i | \(0.550329\pi\) | |||||||
\(12\) | 2.96874 | − | 1.78510i | 0.857001 | − | 0.515315i | ||||
\(13\) | −0.110405 | − | 0.266541i | −0.0306208 | − | 0.0739252i | 0.907829 | − | 0.419340i | \(-0.137738\pi\) |
−0.938450 | + | 0.345414i | \(0.887738\pi\) | |||||||
\(14\) | −0.512479 | + | 3.83069i | −0.136966 | + | 1.02379i | ||||
\(15\) | −1.65266 | − | 3.75448i | −0.426716 | − | 0.969402i | ||||
\(16\) | −3.44724 | − | 2.02893i | −0.861809 | − | 0.507233i | ||||
\(17\) | −6.17031 | −1.49652 | −0.748260 | − | 0.663406i | \(-0.769110\pi\) | ||||
−0.748260 | + | 0.663406i | \(0.769110\pi\) | |||||||
\(18\) | 2.72126 | + | 3.25496i | 0.641407 | + | 0.767201i | ||||
\(19\) | 7.34269 | − | 3.04144i | 1.68453 | − | 0.697755i | 0.685004 | − | 0.728540i | \(-0.259801\pi\) |
0.999526 | + | 0.0307845i | \(0.00980057\pi\) | |||||||
\(20\) | −2.89924 | + | 3.74579i | −0.648290 | + | 0.837585i | ||||
\(21\) | −4.73227 | + | 0.103949i | −1.03267 | + | 0.0226836i | ||||
\(22\) | 2.10737 | − | 0.559943i | 0.449292 | − | 0.119380i | ||||
\(23\) | 1.85295 | − | 1.85295i | 0.386366 | − | 0.386366i | −0.487023 | − | 0.873389i | \(-0.661917\pi\) |
0.873389 | + | 0.487023i | \(0.161917\pi\) | |||||||
\(24\) | 1.80355 | − | 4.55491i | 0.368148 | − | 0.929767i | ||||
\(25\) | 0.430727 | + | 0.430727i | 0.0861453 | + | 0.0861453i | ||||
\(26\) | −0.352914 | − | 0.204741i | −0.0692121 | − | 0.0401530i | ||||
\(27\) | −3.42435 | + | 3.90817i | −0.659017 | + | 0.752128i | ||||
\(28\) | 2.71300 | + | 4.74481i | 0.512708 | + | 0.896685i | ||||
\(29\) | 2.11574 | + | 5.10784i | 0.392882 | + | 0.948501i | 0.989309 | + | 0.145834i | \(0.0465866\pi\) |
−0.596427 | + | 0.802667i | \(0.703413\pi\) | |||||||
\(30\) | −5.08069 | − | 2.80025i | −0.927603 | − | 0.511253i | ||||
\(31\) | 3.42046i | 0.614332i | 0.951656 | + | 0.307166i | \(0.0993807\pi\) | ||||
−0.951656 | + | 0.307166i | \(0.900619\pi\) | |||||||
\(32\) | −5.61588 | + | 0.679633i | −0.992757 | + | 0.120143i | ||||
\(33\) | 1.07591 | + | 2.44422i | 0.187292 | + | 0.425485i | ||||
\(34\) | −6.93401 | + | 5.29763i | −1.18917 | + | 0.908536i | ||||
\(35\) | 5.97967 | − | 2.47686i | 1.01075 | − | 0.418666i | ||||
\(36\) | 5.85267 | + | 1.32144i | 0.975446 | + | 0.220240i | ||||
\(37\) | 2.52377 | − | 6.09293i | 0.414906 | − | 1.00167i | −0.568895 | − | 0.822410i | \(-0.692629\pi\) |
0.983801 | − | 0.179262i | \(-0.0573709\pi\) | |||||||
\(38\) | 5.64022 | − | 9.72209i | 0.914964 | − | 1.57713i | ||||
\(39\) | 0.181042 | − | 0.465751i | 0.0289900 | − | 0.0745798i | ||||
\(40\) | −0.0420633 | + | 6.69861i | −0.00665079 | + | 1.05914i | ||||
\(41\) | −0.753641 | − | 0.753641i | −0.117699 | − | 0.117699i | 0.645804 | − | 0.763503i | \(-0.276522\pi\) |
−0.763503 | + | 0.645804i | \(0.776522\pi\) | |||||||
\(42\) | −5.22874 | + | 4.17979i | −0.806812 | + | 0.644956i | ||||
\(43\) | 1.57129 | − | 3.79343i | 0.239619 | − | 0.578492i | −0.757624 | − | 0.652691i | \(-0.773640\pi\) |
0.997243 | + | 0.0741989i | \(0.0236400\pi\) | |||||||
\(44\) | 1.88745 | − | 2.43857i | 0.284544 | − | 0.367628i | ||||
\(45\) | 2.42813 | − | 6.67731i | 0.361965 | − | 0.995394i | ||||
\(46\) | 0.491405 | − | 3.67317i | 0.0724538 | − | 0.541579i | ||||
\(47\) | 1.54798i | 0.225796i | 0.993607 | + | 0.112898i | \(0.0360133\pi\) | ||||
−0.993607 | + | 0.112898i | \(0.963987\pi\) | |||||||
\(48\) | −1.88393 | − | 6.66714i | −0.271922 | − | 0.962319i | ||||
\(49\) | − | 0.468394i | − | 0.0669135i | ||||||
\(50\) | 0.853846 | + | 0.114230i | 0.120752 | + | 0.0161545i | ||||
\(51\) | −7.72119 | − | 7.38927i | −1.08118 | − | 1.03471i | ||||
\(52\) | −0.572378 | + | 0.0729187i | −0.0793745 | + | 0.0101120i | ||||
\(53\) | 5.12700 | − | 12.3777i | 0.704248 | − | 1.70020i | −0.00964932 | − | 0.999953i | \(-0.503072\pi\) |
0.713897 | − | 0.700251i | \(-0.246928\pi\) | |||||||
\(54\) | −0.492750 | + | 7.33193i | −0.0670548 | + | 0.997749i | ||||
\(55\) | −2.58210 | − | 2.58210i | −0.348170 | − | 0.348170i | ||||
\(56\) | 7.12253 | + | 3.00278i | 0.951788 | + | 0.401264i | ||||
\(57\) | 12.8305 | + | 4.98737i | 1.69945 | + | 0.660593i | ||||
\(58\) | 6.76303 | + | 3.92353i | 0.888029 | + | 0.515185i | ||||
\(59\) | −3.08775 | + | 7.45449i | −0.401991 | + | 0.970492i | 0.585191 | + | 0.810895i | \(0.301019\pi\) |
−0.987182 | + | 0.159597i | \(0.948981\pi\) | |||||||
\(60\) | −8.11374 | + | 1.21529i | −1.04748 | + | 0.156893i | ||||
\(61\) | −4.28571 | + | 1.77520i | −0.548728 | + | 0.227291i | −0.639784 | − | 0.768555i | \(-0.720976\pi\) |
0.0910552 | + | 0.995846i | \(0.470976\pi\) | |||||||
\(62\) | 2.93670 | + | 3.84381i | 0.372961 | + | 0.488164i | ||||
\(63\) | −6.04619 | − | 5.53707i | −0.761748 | − | 0.697605i | ||||
\(64\) | −5.72745 | + | 5.58537i | −0.715931 | + | 0.698171i | ||||
\(65\) | 0.683277i | 0.0847501i | ||||||||
\(66\) | 3.30761 | + | 1.82300i | 0.407138 | + | 0.224396i | ||||
\(67\) | −0.531731 | − | 1.28371i | −0.0649613 | − | 0.156831i | 0.888065 | − | 0.459718i | \(-0.152049\pi\) |
−0.953026 | + | 0.302887i | \(0.902049\pi\) | |||||||
\(68\) | −3.24386 | + | 11.9066i | −0.393376 | + | 1.44389i | ||||
\(69\) | 4.53768 | − | 0.0996750i | 0.546272 | − | 0.0119995i | ||||
\(70\) | 4.59322 | − | 7.91738i | 0.548995 | − | 0.946307i | ||||
\(71\) | 8.72539 | + | 8.72539i | 1.03551 | + | 1.03551i | 0.999346 | + | 0.0361678i | \(0.0115151\pi\) |
0.0361678 | + | 0.999346i | \(0.488485\pi\) | |||||||
\(72\) | 7.71161 | − | 3.53993i | 0.908822 | − | 0.417184i | ||||
\(73\) | −2.73022 | + | 2.73022i | −0.319548 | + | 0.319548i | −0.848593 | − | 0.529046i | \(-0.822550\pi\) |
0.529046 | + | 0.848593i | \(0.322550\pi\) | |||||||
\(74\) | −2.39505 | − | 9.01389i | −0.278419 | − | 1.04784i | ||||
\(75\) | 0.0231699 | + | 1.05481i | 0.00267543 | + | 0.121799i | ||||
\(76\) | −2.00877 | − | 15.7679i | −0.230422 | − | 1.80870i | ||||
\(77\) | −3.89285 | + | 1.61247i | −0.443632 | + | 0.183758i | ||||
\(78\) | −0.196429 | − | 0.678834i | −0.0222412 | − | 0.0768629i | ||||
\(79\) | −2.76080 | −0.310614 | −0.155307 | − | 0.987866i | \(-0.549637\pi\) | ||||
−0.155307 | + | 0.987866i | \(0.549637\pi\) | |||||||
\(80\) | 5.70394 | + | 7.56381i | 0.637720 | + | 0.845660i | ||||
\(81\) | −8.96529 | + | 0.789635i | −0.996144 | + | 0.0877372i | ||||
\(82\) | −1.49397 | − | 0.199867i | −0.164982 | − | 0.0220716i | ||||
\(83\) | 2.53133 | + | 6.11116i | 0.277849 | + | 0.670787i | 0.999776 | − | 0.0211827i | \(-0.00674318\pi\) |
−0.721927 | + | 0.691970i | \(0.756743\pi\) | |||||||
\(84\) | −2.28726 | + | 9.18636i | −0.249561 | + | 1.00231i | ||||
\(85\) | 13.5011 | + | 5.59235i | 1.46440 | + | 0.606576i | ||||
\(86\) | −1.49115 | − | 5.61200i | −0.160795 | − | 0.605158i | ||||
\(87\) | −3.46939 | + | 8.92538i | −0.371958 | + | 0.956901i | ||||
\(88\) | 0.0273838 | − | 4.36089i | 0.00291913 | − | 0.464873i | ||||
\(89\) | 4.14369 | − | 4.14369i | 0.439230 | − | 0.439230i | −0.452523 | − | 0.891753i | \(-0.649476\pi\) |
0.891753 | + | 0.452523i | \(0.149476\pi\) | |||||||
\(90\) | −3.00426 | − | 9.58848i | −0.316677 | − | 1.01071i | ||||
\(91\) | 0.728413 | + | 0.301719i | 0.0763585 | + | 0.0316287i | ||||
\(92\) | −2.60144 | − | 4.54970i | −0.271219 | − | 0.474339i | ||||
\(93\) | −4.09618 | + | 4.28017i | −0.424754 | + | 0.443833i | ||||
\(94\) | 1.32905 | + | 1.73957i | 0.137081 | + | 0.179423i | ||||
\(95\) | −18.8230 | −1.93120 | ||||||||
\(96\) | −7.84130 | − | 5.87486i | −0.800300 | − | 0.599600i | ||||
\(97\) | −10.3656 | −1.05246 | −0.526232 | − | 0.850341i | \(-0.676396\pi\) | ||||
−0.526232 | + | 0.850341i | \(0.676396\pi\) | |||||||
\(98\) | −0.402149 | − | 0.526368i | −0.0406231 | − | 0.0531712i | ||||
\(99\) | −1.58075 | + | 4.34703i | −0.158872 | + | 0.436893i | ||||
\(100\) | 1.05760 | − | 0.604717i | 0.105760 | − | 0.0604717i | ||||
\(101\) | −10.5700 | − | 4.37825i | −1.05176 | − | 0.435652i | −0.211238 | − | 0.977435i | \(-0.567750\pi\) |
−0.840519 | + | 0.541783i | \(0.817750\pi\) | |||||||
\(102\) | −15.0210 | − | 1.67468i | −1.48730 | − | 0.165818i | ||||
\(103\) | −10.4823 | + | 10.4823i | −1.03285 | + | 1.03285i | −0.0334101 | + | 0.999442i | \(0.510637\pi\) |
−0.999442 | + | 0.0334101i | \(0.989363\pi\) | |||||||
\(104\) | −0.580616 | + | 0.573370i | −0.0569341 | + | 0.0562235i | ||||
\(105\) | 10.4488 | + | 4.06156i | 1.01970 | + | 0.396368i | ||||
\(106\) | −4.86551 | − | 18.3115i | −0.472580 | − | 1.77857i | ||||
\(107\) | −9.39578 | − | 3.89186i | −0.908325 | − | 0.376240i | −0.120910 | − | 0.992664i | \(-0.538581\pi\) |
−0.787415 | + | 0.616423i | \(0.788581\pi\) | |||||||
\(108\) | 5.74122 | + | 8.66247i | 0.552450 | + | 0.833546i | ||||
\(109\) | 3.00588 | + | 7.25683i | 0.287911 | + | 0.695078i | 0.999975 | − | 0.00703600i | \(-0.00223965\pi\) |
−0.712064 | + | 0.702114i | \(0.752240\pi\) | |||||||
\(110\) | −5.11859 | − | 0.684777i | −0.488038 | − | 0.0652910i | ||||
\(111\) | 10.4547 | − | 4.60201i | 0.992318 | − | 0.436803i | ||||
\(112\) | 10.5822 | − | 2.74074i | 0.999923 | − | 0.258975i | ||||
\(113\) | 13.6372 | 1.28288 | 0.641438 | − | 0.767175i | \(-0.278338\pi\) | ||||
0.641438 | + | 0.767175i | \(0.278338\pi\) | |||||||
\(114\) | 18.7006 | − | 5.41124i | 1.75147 | − | 0.506809i | ||||
\(115\) | −5.73378 | + | 2.37501i | −0.534678 | + | 0.221471i | ||||
\(116\) | 10.9687 | − | 1.39737i | 1.01842 | − | 0.129743i | ||||
\(117\) | 0.784308 | − | 0.366008i | 0.0725093 | − | 0.0338374i | ||||
\(118\) | 2.93027 | + | 11.0282i | 0.269753 | + | 1.01523i | ||||
\(119\) | 11.9235 | − | 11.9235i | 1.09303 | − | 1.09303i | ||||
\(120\) | −8.07457 | + | 8.33190i | −0.737104 | + | 0.760595i | ||||
\(121\) | −6.09719 | − | 6.09719i | −0.554290 | − | 0.554290i | ||||
\(122\) | −3.29202 | + | 5.67449i | −0.298046 | + | 0.513744i | ||||
\(123\) | −0.0405404 | − | 1.84559i | −0.00365540 | − | 0.166411i | ||||
\(124\) | 6.60035 | + | 1.79821i | 0.592729 | + | 0.161484i | ||||
\(125\) | 3.97958 | + | 9.60756i | 0.355945 | + | 0.859326i | ||||
\(126\) | −11.5485 | − | 1.03133i | −1.02882 | − | 0.0918778i | ||||
\(127\) | − | 7.75395i | − | 0.688052i | −0.938960 | − | 0.344026i | \(-0.888209\pi\) | ||
0.938960 | − | 0.344026i | \(-0.111791\pi\) | |||||||
\(128\) | −1.64092 | + | 11.1941i | −0.145038 | + | 0.989426i | ||||
\(129\) | 6.50906 | − | 2.86519i | 0.573090 | − | 0.252266i | ||||
\(130\) | 0.586640 | + | 0.767847i | 0.0514518 | + | 0.0673446i | ||||
\(131\) | −1.16782 | + | 0.483728i | −0.102033 | + | 0.0422635i | −0.433116 | − | 0.901338i | \(-0.642586\pi\) |
0.331083 | + | 0.943602i | \(0.392586\pi\) | |||||||
\(132\) | 5.28217 | − | 0.791169i | 0.459753 | − | 0.0688625i | ||||
\(133\) | −8.31177 | + | 20.0664i | −0.720722 | + | 1.73998i | ||||
\(134\) | −1.69970 | − | 0.986071i | −0.146832 | − | 0.0851836i | ||||
\(135\) | 11.0349 | − | 5.44780i | 0.949730 | − | 0.468872i | ||||
\(136\) | 6.57732 | + | 16.1654i | 0.564000 | + | 1.38617i | ||||
\(137\) | −7.54494 | − | 7.54494i | −0.644608 | − | 0.644608i | 0.307077 | − | 0.951685i | \(-0.400649\pi\) |
−0.951685 | + | 0.307077i | \(0.900649\pi\) | |||||||
\(138\) | 5.01373 | − | 4.00792i | 0.426797 | − | 0.341177i | ||||
\(139\) | 0.412435 | − | 0.995705i | 0.0349822 | − | 0.0844546i | −0.905423 | − | 0.424511i | \(-0.860446\pi\) |
0.940405 | + | 0.340056i | \(0.110446\pi\) | |||||||
\(140\) | −1.63588 | − | 12.8409i | −0.138257 | − | 1.08525i | ||||
\(141\) | −1.85379 | + | 1.93706i | −0.156117 | + | 0.163130i | ||||
\(142\) | 17.2967 | + | 2.31399i | 1.45151 | + | 0.194186i | ||||
\(143\) | − | 0.444824i | − | 0.0371980i | ||||||
\(144\) | 5.62681 | − | 10.5990i | 0.468901 | − | 0.883251i | ||||
\(145\) | − | 13.0939i | − | 1.08739i | ||||||
\(146\) | −0.724059 | + | 5.41221i | −0.0599236 | + | 0.447918i | ||||
\(147\) | 0.560927 | − | 0.586123i | 0.0462645 | − | 0.0483426i | ||||
\(148\) | −10.4305 | − | 8.07323i | −0.857384 | − | 0.663615i | ||||
\(149\) | −0.458938 | + | 1.10798i | −0.0375977 | + | 0.0907689i | −0.941563 | − | 0.336837i | \(-0.890643\pi\) |
0.903965 | + | 0.427606i | \(0.140643\pi\) | |||||||
\(150\) | 0.931661 | + | 1.16547i | 0.0760698 | + | 0.0951600i | ||||
\(151\) | 9.80869 | + | 9.80869i | 0.798220 | + | 0.798220i | 0.982815 | − | 0.184595i | \(-0.0590974\pi\) |
−0.184595 | + | 0.982815i | \(0.559097\pi\) | |||||||
\(152\) | −15.7952 | − | 15.9948i | −1.28116 | − | 1.29735i | ||||
\(153\) | −0.812833 | − | 18.4931i | −0.0657136 | − | 1.49508i | ||||
\(154\) | −2.99026 | + | 5.15433i | −0.240962 | + | 0.415348i | ||||
\(155\) | 3.10007 | − | 7.48424i | 0.249004 | − | 0.601148i | ||||
\(156\) | −0.803567 | − | 0.594207i | −0.0643368 | − | 0.0475746i | ||||
\(157\) | 8.28207 | − | 3.43055i | 0.660981 | − | 0.273787i | −0.0268702 | − | 0.999639i | \(-0.508554\pi\) |
0.687851 | + | 0.725852i | \(0.258554\pi\) | |||||||
\(158\) | −3.10250 | + | 2.37033i | −0.246822 | + | 0.188574i | ||||
\(159\) | 21.2386 | − | 9.34890i | 1.68433 | − | 0.741416i | ||||
\(160\) | 12.9040 | + | 3.60276i | 1.02015 | + | 0.284824i | ||||
\(161\) | 7.16129i | 0.564389i | ||||||||
\(162\) | −9.39698 | + | 8.58469i | −0.738296 | + | 0.674477i | ||||
\(163\) | −1.15049 | − | 2.77752i | −0.0901131 | − | 0.217552i | 0.872397 | − | 0.488798i | \(-0.162564\pi\) |
−0.962510 | + | 0.271246i | \(0.912564\pi\) | |||||||
\(164\) | −1.85048 | + | 1.05807i | −0.144498 | + | 0.0826215i | ||||
\(165\) | −0.138898 | − | 6.32329i | −0.0108132 | − | 0.492267i | ||||
\(166\) | 8.09148 | + | 4.69423i | 0.628020 | + | 0.364343i | ||||
\(167\) | −1.86833 | − | 1.86833i | −0.144576 | − | 0.144576i | 0.631114 | − | 0.775690i | \(-0.282598\pi\) |
−0.775690 | + | 0.631114i | \(0.782598\pi\) | |||||||
\(168\) | 5.31676 | + | 12.2871i | 0.410197 | + | 0.947973i | ||||
\(169\) | 9.13353 | − | 9.13353i | 0.702579 | − | 0.702579i | ||||
\(170\) | 19.9736 | − | 5.30713i | 1.53191 | − | 0.407038i | ||||
\(171\) | 10.0828 | + | 21.6062i | 0.771051 | + | 1.65227i | ||||
\(172\) | −6.49399 | − | 5.02635i | −0.495162 | − | 0.383255i | ||||
\(173\) | −9.59196 | + | 3.97312i | −0.729263 | + | 0.302071i | −0.716249 | − | 0.697845i | \(-0.754143\pi\) |
−0.0130138 | + | 0.999915i | \(0.504143\pi\) | |||||||
\(174\) | 3.76425 | + | 13.0088i | 0.285367 | + | 0.986193i | ||||
\(175\) | −1.66468 | −0.125838 | ||||||||
\(176\) | −3.71335 | − | 4.92416i | −0.279904 | − | 0.371172i | ||||
\(177\) | −12.7910 | + | 5.63040i | −0.961430 | + | 0.423207i | ||||
\(178\) | 1.09892 | − | 8.21420i | 0.0823672 | − | 0.615680i | ||||
\(179\) | 0.00532113 | + | 0.0128464i | 0.000397720 | + | 0.000960181i | 0.924078 | − | 0.382203i | \(-0.124835\pi\) |
−0.923681 | + | 0.383163i | \(0.874835\pi\) | |||||||
\(180\) | −11.6085 | − | 8.19589i | −0.865244 | − | 0.610886i | ||||
\(181\) | −9.45181 | − | 3.91507i | −0.702547 | − | 0.291005i | 0.00266940 | − | 0.999996i | \(-0.499150\pi\) |
−0.705217 | + | 0.708992i | \(0.749150\pi\) | |||||||
\(182\) | 1.07762 | − | 0.286330i | 0.0798782 | − | 0.0212242i | ||||
\(183\) | −7.48879 | − | 2.91097i | −0.553588 | − | 0.215185i | ||||
\(184\) | −6.82965 | − | 2.87931i | −0.503489 | − | 0.212266i | ||||
\(185\) | −11.0444 | + | 11.0444i | −0.812004 | + | 0.812004i | ||||
\(186\) | −0.928343 | + | 8.32678i | −0.0680694 | + | 0.610549i | ||||
\(187\) | −8.78944 | − | 3.64071i | −0.642748 | − | 0.266235i | ||||
\(188\) | 2.98709 | + | 0.813805i | 0.217856 | + | 0.0593528i | ||||
\(189\) | −0.934943 | − | 14.1694i | −0.0680071 | − | 1.03067i | ||||
\(190\) | −21.1527 | + | 16.1608i | −1.53458 | + | 1.17243i | ||||
\(191\) | 7.77941 | 0.562898 | 0.281449 | − | 0.959576i | \(-0.409185\pi\) | ||||
0.281449 | + | 0.959576i | \(0.409185\pi\) | |||||||
\(192\) | −13.8558 | + | 0.130302i | −0.999956 | + | 0.00940375i | ||||
\(193\) | −6.23528 | −0.448825 | −0.224413 | − | 0.974494i | \(-0.572046\pi\) | ||||
−0.224413 | + | 0.974494i | \(0.572046\pi\) | |||||||
\(194\) | −11.6485 | + | 8.89956i | −0.836316 | + | 0.638951i | ||||
\(195\) | −0.818261 | + | 0.855016i | −0.0585969 | + | 0.0612290i | ||||
\(196\) | −0.903846 | − | 0.246245i | −0.0645604 | − | 0.0175889i | ||||
\(197\) | 6.90773 | + | 2.86128i | 0.492156 | + | 0.203858i | 0.614937 | − | 0.788576i | \(-0.289181\pi\) |
−0.122781 | + | 0.992434i | \(0.539181\pi\) | |||||||
\(198\) | 1.95582 | + | 6.24224i | 0.138994 | + | 0.443617i | ||||
\(199\) | 12.4517 | − | 12.4517i | 0.882681 | − | 0.882681i | −0.111125 | − | 0.993806i | \(-0.535445\pi\) |
0.993806 | + | 0.111125i | \(0.0354455\pi\) | |||||||
\(200\) | 0.669310 | − | 1.58759i | 0.0473274 | − | 0.112259i | ||||
\(201\) | 0.871935 | − | 2.24315i | 0.0615015 | − | 0.158219i | ||||
\(202\) | −15.6373 | + | 4.15494i | −1.10024 | + | 0.292341i | ||||
\(203\) | −13.9589 | − | 5.78196i | −0.979721 | − | 0.405814i | ||||
\(204\) | −18.3180 | + | 11.0146i | −1.28252 | + | 0.771179i | ||||
\(205\) | 0.965978 | + | 2.33208i | 0.0674668 | + | 0.162879i | ||||
\(206\) | −2.77993 | + | 20.7795i | −0.193687 | + | 1.44777i | ||||
\(207\) | 5.79757 | + | 5.30938i | 0.402959 | + | 0.369028i | ||||
\(208\) | −0.160202 | + | 1.14283i | −0.0111080 | + | 0.0792413i | ||||
\(209\) | 12.2540 | 0.847630 | ||||||||
\(210\) | 15.2292 | − | 4.40675i | 1.05091 | − | 0.304095i | ||||
\(211\) | −1.16851 | + | 0.484011i | −0.0804432 | + | 0.0333207i | −0.422542 | − | 0.906343i | \(-0.638862\pi\) |
0.342099 | + | 0.939664i | \(0.388862\pi\) | |||||||
\(212\) | −21.1894 | − | 16.4006i | −1.45530 | − | 1.12640i | ||||
\(213\) | 0.469362 | + | 21.3676i | 0.0321602 | + | 1.46408i | ||||
\(214\) | −13.9001 | + | 3.69336i | −0.950194 | + | 0.252473i | ||||
\(215\) | −6.87622 | + | 6.87622i | −0.468954 | + | 0.468954i | ||||
\(216\) | 13.8891 | + | 4.80539i | 0.945036 | + | 0.326965i | ||||
\(217\) | −6.60972 | − | 6.60972i | −0.448697 | − | 0.448697i | ||||
\(218\) | 9.60840 | + | 5.57426i | 0.650763 | + | 0.377536i | ||||
\(219\) | −6.68602 | + | 0.146866i | −0.451800 | + | 0.00992426i | ||||
\(220\) | −6.34005 | + | 3.62512i | −0.427446 | + | 0.244406i | ||||
\(221\) | 0.681233 | + | 1.64464i | 0.0458247 | + | 0.110631i | ||||
\(222\) | 7.79757 | − | 14.1477i | 0.523339 | − | 0.949531i | ||||
\(223\) | 10.5047i | 0.703449i | 0.936104 | + | 0.351724i | \(0.114405\pi\) | ||||
−0.936104 | + | 0.351724i | \(0.885595\pi\) | |||||||
\(224\) | 9.53884 | − | 12.1655i | 0.637340 | − | 0.812841i | ||||
\(225\) | −1.23419 | + | 1.34767i | −0.0822795 | + | 0.0898450i | ||||
\(226\) | 15.3250 | − | 11.7084i | 1.01941 | − | 0.778833i | ||||
\(227\) | 16.7869 | − | 6.95334i | 1.11418 | − | 0.461509i | 0.251806 | − | 0.967778i | \(-0.418975\pi\) |
0.862376 | + | 0.506268i | \(0.168975\pi\) | |||||||
\(228\) | 16.3692 | − | 22.1367i | 1.08408 | − | 1.46604i | ||||
\(229\) | 5.87646 | − | 14.1870i | 0.388327 | − | 0.937505i | −0.601967 | − | 0.798521i | \(-0.705616\pi\) |
0.990295 | − | 0.138984i | \(-0.0443838\pi\) | |||||||
\(230\) | −4.40435 | + | 7.59181i | −0.290414 | + | 0.500589i | ||||
\(231\) | −6.80233 | − | 2.64414i | −0.447560 | − | 0.173972i | ||||
\(232\) | 11.1266 | − | 10.9877i | 0.730496 | − | 0.721379i | ||||
\(233\) | 2.54073 | + | 2.54073i | 0.166449 | + | 0.166449i | 0.785416 | − | 0.618968i | \(-0.212449\pi\) |
−0.618968 | + | 0.785416i | \(0.712449\pi\) | |||||||
\(234\) | 0.567140 | − | 1.08469i | 0.0370751 | − | 0.0709085i | ||||
\(235\) | 1.40298 | − | 3.38711i | 0.0915206 | − | 0.220950i | ||||
\(236\) | 12.7614 | + | 9.87732i | 0.830696 | + | 0.642959i | ||||
\(237\) | −3.45471 | − | 3.30620i | −0.224408 | − | 0.214761i | ||||
\(238\) | 3.16215 | − | 23.6365i | 0.204972 | − | 1.53213i | ||||
\(239\) | 17.6107i | 1.13914i | 0.821943 | + | 0.569570i | \(0.192890\pi\) | ||||
−0.821943 | + | 0.569570i | \(0.807110\pi\) | |||||||
\(240\) | −1.92046 | + | 16.2957i | −0.123965 | + | 1.05188i | ||||
\(241\) | − | 6.18628i | − | 0.398493i | −0.979949 | − | 0.199247i | \(-0.936151\pi\) | ||
0.979949 | − | 0.199247i | \(-0.0638495\pi\) | |||||||
\(242\) | −12.0867 | − | 1.61699i | −0.776963 | − | 0.103944i | ||||
\(243\) | −12.1643 | − | 9.74831i | −0.780341 | − | 0.625354i | ||||
\(244\) | 1.17246 | + | 9.20325i | 0.0750589 | + | 0.589177i | ||||
\(245\) | −0.424521 | + | 1.02489i | −0.0271217 | + | 0.0654775i | ||||
\(246\) | −1.63012 | − | 2.03921i | −0.103933 | − | 0.130015i | ||||
\(247\) | −1.62134 | − | 1.62134i | −0.103163 | − | 0.103163i | ||||
\(248\) | 8.96116 | − | 3.64608i | 0.569034 | − | 0.231526i | ||||
\(249\) | −4.15088 | + | 10.6786i | −0.263051 | + | 0.676727i | ||||
\(250\) | 12.7209 | + | 7.37995i | 0.804539 | + | 0.466749i | ||||
\(251\) | 9.18840 | − | 22.1828i | 0.579967 | − | 1.40016i | −0.312876 | − | 0.949794i | \(-0.601292\pi\) |
0.892842 | − | 0.450369i | \(-0.148708\pi\) | |||||||
\(252\) | −13.8633 | + | 8.75619i | −0.873306 | + | 0.551588i | ||||
\(253\) | 3.73278 | − | 1.54617i | 0.234678 | − | 0.0972067i | ||||
\(254\) | −6.65729 | − | 8.71366i | −0.417716 | − | 0.546744i | ||||
\(255\) | 10.1975 | + | 23.1663i | 0.638589 | + | 1.45073i | ||||
\(256\) | 7.76687 | + | 13.9884i | 0.485429 | + | 0.874276i | ||||
\(257\) | − | 11.8836i | − | 0.741276i | −0.928777 | − | 0.370638i | \(-0.879139\pi\) | ||
0.928777 | − | 0.370638i | \(-0.120861\pi\) | |||||||
\(258\) | 4.85473 | − | 8.80828i | 0.302242 | − | 0.548380i | ||||
\(259\) | 6.89706 | + | 16.6510i | 0.428563 | + | 1.03464i | ||||
\(260\) | 1.31850 | + | 0.359213i | 0.0817698 | + | 0.0222774i | ||||
\(261\) | −15.0300 | + | 7.01395i | −0.930335 | + | 0.434153i | ||||
\(262\) | −0.897051 | + | 1.54626i | −0.0554200 | + | 0.0955280i | ||||
\(263\) | −11.6191 | − | 11.6191i | −0.716464 | − | 0.716464i | 0.251415 | − | 0.967879i | \(-0.419104\pi\) |
−0.967879 | + | 0.251415i | \(0.919104\pi\) | |||||||
\(264\) | 5.25667 | − | 5.42419i | 0.323526 | − | 0.333836i | ||||
\(265\) | −22.4366 | + | 22.4366i | −1.37827 | + | 1.37827i | ||||
\(266\) | 7.88784 | + | 29.6862i | 0.483635 | + | 1.82018i | ||||
\(267\) | 10.1475 | − | 0.222900i | 0.621015 | − | 0.0136413i | ||||
\(268\) | −2.75668 | + | 0.351190i | −0.168391 | + | 0.0214524i | ||||
\(269\) | 13.7480 | − | 5.69459i | 0.838228 | − | 0.347205i | 0.0780733 | − | 0.996948i | \(-0.475123\pi\) |
0.760155 | + | 0.649742i | \(0.225123\pi\) | |||||||
\(270\) | 7.72335 | − | 15.5963i | 0.470028 | − | 0.949158i | ||||
\(271\) | 7.07297 | 0.429652 | 0.214826 | − | 0.976652i | \(-0.431081\pi\) | ||||
0.214826 | + | 0.976652i | \(0.431081\pi\) | |||||||
\(272\) | 21.2705 | + | 12.5191i | 1.28971 | + | 0.759084i | ||||
\(273\) | 0.550173 | + | 1.24987i | 0.0332980 | + | 0.0756455i | ||||
\(274\) | −14.9566 | − | 2.00093i | −0.903563 | − | 0.120881i | ||||
\(275\) | 0.359414 | + | 0.867703i | 0.0216735 | + | 0.0523245i | ||||
\(276\) | 2.19321 | − | 8.80861i | 0.132016 | − | 0.530216i | ||||
\(277\) | −1.13397 | − | 0.469705i | −0.0681335 | − | 0.0282218i | 0.348356 | − | 0.937362i | \(-0.386740\pi\) |
−0.416490 | + | 0.909140i | \(0.636740\pi\) | |||||||
\(278\) | −0.391399 | − | 1.47305i | −0.0234746 | − | 0.0883475i | ||||
\(279\) | −10.2515 | + | 0.450587i | −0.613740 | + | 0.0269759i | ||||
\(280\) | −12.8632 | − | 13.0257i | −0.768720 | − | 0.778436i | ||||
\(281\) | −12.0212 | + | 12.0212i | −0.717122 | + | 0.717122i | −0.968015 | − | 0.250893i | \(-0.919276\pi\) |
0.250893 | + | 0.968015i | \(0.419276\pi\) | |||||||
\(282\) | −0.420136 | + | 3.76841i | −0.0250187 | + | 0.224406i | ||||
\(283\) | 12.8158 | + | 5.30848i | 0.761821 | + | 0.315557i | 0.729555 | − | 0.683923i | \(-0.239727\pi\) |
0.0322666 | + | 0.999479i | \(0.489727\pi\) | |||||||
\(284\) | 21.4242 | − | 12.2500i | 1.27129 | − | 0.726903i | ||||
\(285\) | −23.5541 | − | 22.5415i | −1.39522 | − | 1.33524i | ||||
\(286\) | −0.381912 | − | 0.499880i | −0.0225829 | − | 0.0295585i | ||||
\(287\) | 2.91268 | 0.171930 | ||||||||
\(288\) | −2.77673 | − | 16.7419i | −0.163620 | − | 0.986523i | ||||
\(289\) | 21.0727 | 1.23957 | ||||||||
\(290\) | −11.2420 | − | 14.7146i | −0.660155 | − | 0.864069i | ||||
\(291\) | −12.9709 | − | 12.4133i | −0.760369 | − | 0.727682i | ||||
\(292\) | 3.83308 | + | 6.70374i | 0.224314 | + | 0.392307i | ||||
\(293\) | 24.7412 | + | 10.2481i | 1.44539 | + | 0.598702i | 0.961099 | − | 0.276203i | \(-0.0890763\pi\) |
0.484295 | + | 0.874905i | \(0.339076\pi\) | |||||||
\(294\) | 0.127126 | − | 1.14026i | 0.00741417 | − | 0.0665015i | ||||
\(295\) | 13.5125 | − | 13.5125i | 0.786729 | − | 0.786729i | ||||
\(296\) | −18.6529 | − | 0.117129i | −1.08418 | − | 0.00680801i | ||||
\(297\) | −7.18386 | + | 3.54660i | −0.416850 | + | 0.205795i | ||||
\(298\) | 0.435531 | + | 1.63914i | 0.0252296 | + | 0.0949529i | ||||
\(299\) | −0.698461 | − | 0.289312i | −0.0403930 | − | 0.0167313i | ||||
\(300\) | 2.04761 | + | 0.509823i | 0.118219 | + | 0.0294346i | ||||
\(301\) | 4.29408 | + | 10.3668i | 0.247506 | + | 0.597533i | ||||
\(302\) | 19.4441 | + | 2.60129i | 1.11888 | + | 0.149687i | ||||
\(303\) | −7.98357 | − | 18.1369i | −0.458644 | − | 1.04194i | ||||
\(304\) | −31.4829 | − | 4.41326i | −1.80567 | − | 0.253118i | ||||
\(305\) | 10.9864 | 0.629079 | ||||||||
\(306\) | −16.7910 | − | 20.0841i | −0.959878 | − | 1.14813i | ||||
\(307\) | −0.664375 | + | 0.275193i | −0.0379179 | + | 0.0157061i | −0.401562 | − | 0.915832i | \(-0.631532\pi\) |
0.363644 | + | 0.931538i | \(0.381532\pi\) | |||||||
\(308\) | 1.06498 | + | 8.35962i | 0.0606830 | + | 0.476334i | ||||
\(309\) | −25.6701 | + | 0.563871i | −1.46032 | + | 0.0320775i | ||||
\(310\) | −2.94196 | − | 11.0722i | −0.167092 | − | 0.628858i | ||||
\(311\) | 3.60638 | − | 3.60638i | 0.204499 | − | 0.204499i | −0.597425 | − | 0.801924i | \(-0.703810\pi\) |
0.801924 | + | 0.597425i | \(0.203810\pi\) | |||||||
\(312\) | −1.41319 | + | 0.0221652i | −0.0800062 | + | 0.00125486i | ||||
\(313\) | 23.2233 | + | 23.2233i | 1.31266 | + | 1.31266i | 0.919449 | + | 0.393210i | \(0.128635\pi\) |
0.393210 | + | 0.919449i | \(0.371365\pi\) | |||||||
\(314\) | 6.36179 | − | 10.9659i | 0.359017 | − | 0.618840i | ||||
\(315\) | 8.21113 | + | 17.5954i | 0.462645 | + | 0.991389i | ||||
\(316\) | −1.45141 | + | 5.32742i | −0.0816481 | + | 0.299691i | ||||
\(317\) | 1.42053 | + | 3.42947i | 0.0797850 | + | 0.192618i | 0.958738 | − | 0.284289i | \(-0.0917577\pi\) |
−0.878954 | + | 0.476907i | \(0.841758\pi\) | |||||||
\(318\) | 15.8406 | − | 28.7408i | 0.888298 | − | 1.61170i | ||||
\(319\) | 8.52434i | 0.477271i | ||||||||
\(320\) | 17.5943 | − | 7.03026i | 0.983553 | − | 0.393004i | ||||
\(321\) | −7.09666 | − | 16.1220i | −0.396097 | − | 0.899843i | ||||
\(322\) | 6.14846 | + | 8.04765i | 0.342640 | + | 0.448478i | ||||
\(323\) | −45.3067 | + | 18.7666i | −2.52093 | + | 1.04420i | ||||
\(324\) | −3.18951 | + | 17.7152i | −0.177195 | + | 0.984176i | ||||
\(325\) | 0.0672520 | − | 0.162361i | 0.00373047 | − | 0.00900615i | ||||
\(326\) | −3.67758 | − | 2.13353i | −0.203682 | − | 0.118165i | ||||
\(327\) | −4.92905 | + | 12.6805i | −0.272577 | + | 0.701233i | ||||
\(328\) | −1.17109 | + | 2.77779i | −0.0646626 | + | 0.153378i | ||||
\(329\) | −2.99133 | − | 2.99133i | −0.164917 | − | 0.164917i | ||||
\(330\) | −5.58507 | − | 6.98667i | −0.307448 | − | 0.384604i | ||||
\(331\) | −3.25086 | + | 7.84826i | −0.178683 | + | 0.431380i | −0.987691 | − | 0.156419i | \(-0.950005\pi\) |
0.809008 | + | 0.587798i | \(0.200005\pi\) | |||||||
\(332\) | 13.1233 | − | 1.67185i | 0.720233 | − | 0.0917549i | ||||
\(333\) | 18.5936 | + | 6.76138i | 1.01892 | + | 0.370521i | ||||
\(334\) | −3.70366 | − | 0.495485i | −0.202655 | − | 0.0271117i | ||||
\(335\) | 3.29079i | 0.179795i | ||||||||
\(336\) | 16.5242 | + | 9.24312i | 0.901467 | + | 0.504253i | ||||
\(337\) | 24.2771i | 1.32246i | 0.750183 | + | 0.661230i | \(0.229965\pi\) | ||||
−0.750183 | + | 0.661230i | \(0.770035\pi\) | |||||||
\(338\) | 2.42223 | − | 18.1058i | 0.131752 | − | 0.984823i | ||||
\(339\) | 17.0648 | + | 16.3312i | 0.926833 | + | 0.886990i | ||||
\(340\) | 17.8892 | − | 23.1127i | 0.970179 | − | 1.25346i | ||||
\(341\) | −2.01819 | + | 4.87235i | −0.109291 | + | 0.263853i | ||||
\(342\) | 29.8811 | + | 15.6236i | 1.61579 | + | 0.844828i | ||||
\(343\) | −12.6217 | − | 12.6217i | −0.681509 | − | 0.681509i | ||||
\(344\) | −11.6132 | − | 0.0729242i | −0.626143 | − | 0.00393181i | ||||
\(345\) | −10.0191 | − | 3.89455i | −0.539413 | − | 0.209676i | ||||
\(346\) | −7.36796 | + | 12.7002i | −0.396104 | + | 0.682768i | ||||
\(347\) | −1.37907 | + | 3.32937i | −0.0740325 | + | 0.178730i | −0.956564 | − | 0.291524i | \(-0.905838\pi\) |
0.882531 | + | 0.470254i | \(0.155838\pi\) | |||||||
\(348\) | 15.3991 | + | 11.3870i | 0.825477 | + | 0.610409i | ||||
\(349\) | 10.7378 | − | 4.44775i | 0.574782 | − | 0.238083i | −0.0763062 | − | 0.997084i | \(-0.524313\pi\) |
0.651089 | + | 0.759002i | \(0.274313\pi\) | |||||||
\(350\) | −1.87072 | + | 1.42924i | −0.0999940 | + | 0.0763961i | ||||
\(351\) | 1.41975 | + | 0.481249i | 0.0757809 | + | 0.0256871i | ||||
\(352\) | −8.40068 | − | 2.34545i | −0.447758 | − | 0.125013i | ||||
\(353\) | − | 5.62531i | − | 0.299405i | −0.988731 | − | 0.149703i | \(-0.952168\pi\) | ||
0.988731 | − | 0.149703i | \(-0.0478316\pi\) | |||||||
\(354\) | −9.54006 | + | 17.3092i | −0.507049 | + | 0.919975i | ||||
\(355\) | −11.1838 | − | 27.0000i | −0.593572 | − | 1.43301i | ||||
\(356\) | −5.81752 | − | 10.1744i | −0.308328 | − | 0.539240i | ||||
\(357\) | 29.1996 | − | 0.641400i | 1.54540 | − | 0.0339465i | ||||
\(358\) | 0.0170092 | + | 0.00986780i | 0.000898964 | + | 0.000521529i | ||||
\(359\) | −22.3781 | − | 22.3781i | −1.18107 | − | 1.18107i | −0.979467 | − | 0.201603i | \(-0.935385\pi\) |
−0.201603 | − | 0.979467i | \(-0.564615\pi\) | |||||||
\(360\) | −20.0820 | + | 0.756359i | −1.05841 | + | 0.0398636i | ||||
\(361\) | 31.2298 | − | 31.2298i | 1.64367 | − | 1.64367i | ||||
\(362\) | −13.9830 | + | 3.71539i | −0.734931 | + | 0.195276i | ||||
\(363\) | −0.327984 | − | 14.9314i | −0.0172147 | − | 0.783696i | ||||
\(364\) | 0.965159 | − | 1.24698i | 0.0505881 | − | 0.0653593i | ||||
\(365\) | 8.44842 | − | 3.49945i | 0.442211 | − | 0.183170i | ||||
\(366\) | −10.9150 | + | 3.15837i | −0.570534 | + | 0.165091i | ||||
\(367\) | −26.0135 | −1.35789 | −0.678946 | − | 0.734188i | \(-0.737563\pi\) | ||||
−0.678946 | + | 0.734188i | \(0.737563\pi\) | |||||||
\(368\) | −10.1470 | + | 2.62804i | −0.528951 | + | 0.136996i | ||||
\(369\) | 2.15946 | − | 2.35802i | 0.112417 | − | 0.122754i | ||||
\(370\) | −2.92901 | + | 21.8938i | −0.152272 | + | 1.13821i | ||||
\(371\) | 14.0113 | + | 33.8262i | 0.727428 | + | 1.75617i | ||||
\(372\) | 6.10587 | + | 10.1544i | 0.316575 | + | 0.526483i | ||||
\(373\) | −16.7694 | − | 6.94611i | −0.868286 | − | 0.359656i | −0.0963434 | − | 0.995348i | \(-0.530715\pi\) |
−0.771942 | + | 0.635692i | \(0.780715\pi\) | |||||||
\(374\) | −13.0031 | + | 3.45502i | −0.672375 | + | 0.178655i | ||||
\(375\) | −6.52573 | + | 16.7881i | −0.336987 | + | 0.866936i | ||||
\(376\) | 4.05551 | − | 1.65009i | 0.209147 | − | 0.0850968i | ||||
\(377\) | 1.12786 | − | 1.12786i | 0.0580878 | − | 0.0580878i | ||||
\(378\) | −13.2161 | − | 15.1205i | −0.679762 | − | 0.777713i | ||||
\(379\) | 11.8673 | + | 4.91559i | 0.609582 | + | 0.252497i | 0.666050 | − | 0.745907i | \(-0.267984\pi\) |
−0.0564681 | + | 0.998404i | \(0.517984\pi\) | |||||||
\(380\) | −9.89563 | + | 36.3221i | −0.507635 | + | 1.86328i | ||||
\(381\) | 9.28576 | − | 9.70287i | 0.475724 | − | 0.497093i | ||||
\(382\) | 8.74227 | − | 6.67916i | 0.447294 | − | 0.341735i | ||||
\(383\) | −5.25906 | −0.268725 | −0.134363 | − | 0.990932i | \(-0.542899\pi\) | ||||
−0.134363 | + | 0.990932i | \(0.542899\pi\) | |||||||
\(384\) | −15.4589 | + | 12.0426i | −0.788882 | + | 0.614545i | ||||
\(385\) | 9.97932 | 0.508593 | ||||||||
\(386\) | −7.00702 | + | 5.35341i | −0.356648 | + | 0.272482i | ||||
\(387\) | 11.5763 | + | 4.20960i | 0.588456 | + | 0.213986i | ||||
\(388\) | −5.44940 | + | 20.0021i | −0.276651 | + | 1.01545i | ||||
\(389\) | −25.9373 | − | 10.7436i | −1.31507 | − | 0.544721i | −0.388712 | − | 0.921359i | \(-0.627080\pi\) |
−0.926360 | + | 0.376639i | \(0.877080\pi\) | |||||||
\(390\) | −0.185448 | + | 1.66338i | −0.00939051 | + | 0.0842283i | ||||
\(391\) | −11.4333 | + | 11.4333i | −0.578204 | + | 0.578204i | ||||
\(392\) | −1.22713 | + | 0.499291i | −0.0619796 | + | 0.0252180i | ||||
\(393\) | −2.04064 | − | 0.793219i | −0.102937 | − | 0.0400126i | ||||
\(394\) | 10.2193 | − | 2.71534i | 0.514841 | − | 0.136797i | ||||
\(395\) | 6.04085 | + | 2.50220i | 0.303948 | + | 0.125899i | ||||
\(396\) | 7.55728 | + | 5.33565i | 0.379768 | + | 0.268126i | ||||
\(397\) | −14.4580 | − | 34.9046i | −0.725624 | − | 1.75181i | −0.656654 | − | 0.754192i | \(-0.728029\pi\) |
−0.0689699 | − | 0.997619i | \(-0.521971\pi\) | |||||||
\(398\) | 3.30223 | − | 24.6836i | 0.165526 | − | 1.23728i | ||||
\(399\) | −34.4315 | + | 15.1562i | −1.72373 | + | 0.758759i | ||||
\(400\) | −0.610901 | − | 2.35873i | −0.0305450 | − | 0.117937i | ||||
\(401\) | 31.7191 | 1.58397 | 0.791987 | − | 0.610537i | \(-0.209046\pi\) | ||||
0.791987 | + | 0.610537i | \(0.209046\pi\) | |||||||
\(402\) | −0.946039 | − | 3.26940i | −0.0471841 | − | 0.163063i | ||||
\(403\) | 0.911693 | − | 0.377635i | 0.0454146 | − | 0.0188114i | ||||
\(404\) | −14.0054 | + | 18.0949i | −0.696797 | + | 0.900255i | ||||
\(405\) | 20.3325 | + | 6.39776i | 1.01033 | + | 0.317907i | ||||
\(406\) | −20.6508 | + | 5.48706i | −1.02488 | + | 0.272318i | ||||
\(407\) | 7.19010 | − | 7.19010i | 0.356400 | − | 0.356400i | ||||
\(408\) | −11.1284 | + | 28.1052i | −0.550940 | + | 1.39142i | ||||
\(409\) | −17.8308 | − | 17.8308i | −0.881677 | − | 0.881677i | 0.112028 | − | 0.993705i | \(-0.464265\pi\) |
−0.993705 | + | 0.112028i | \(0.964265\pi\) | |||||||
\(410\) | 3.08779 | + | 1.79136i | 0.152495 | + | 0.0884690i | ||||
\(411\) | −0.405863 | − | 18.4768i | −0.0200197 | − | 0.911393i | ||||
\(412\) | 14.7166 | + | 25.7381i | 0.725035 | + | 1.26803i | ||||
\(413\) | −8.43832 | − | 20.3719i | −0.415223 | − | 1.00244i | ||||
\(414\) | 11.0736 | + | 0.988918i | 0.544238 | + | 0.0486026i | ||||
\(415\) | − | 15.6659i | − | 0.769011i | ||||||
\(416\) | 0.801171 | + | 1.42183i | 0.0392806 | + | 0.0697109i | ||||
\(417\) | 1.70851 | − | 0.752059i | 0.0836660 | − | 0.0368285i | ||||
\(418\) | 13.7707 | − | 10.5209i | 0.673548 | − | 0.514596i | ||||
\(419\) | −2.10652 | + | 0.872548i | −0.102910 | + | 0.0426268i | −0.433544 | − | 0.901132i | \(-0.642737\pi\) |
0.330634 | + | 0.943759i | \(0.392737\pi\) | |||||||
\(420\) | 13.3306 | − | 18.0275i | 0.650468 | − | 0.879651i | ||||
\(421\) | −0.169965 | + | 0.410331i | −0.00828357 | + | 0.0199983i | −0.927967 | − | 0.372662i | \(-0.878445\pi\) |
0.919684 | + | 0.392660i | \(0.128445\pi\) | |||||||
\(422\) | −0.897576 | + | 1.54716i | −0.0436933 | + | 0.0753145i | ||||
\(423\) | −4.63946 | + | 0.203920i | −0.225578 | + | 0.00991492i | ||||
\(424\) | −37.8931 | − | 0.237946i | −1.84025 | − | 0.0115557i | ||||
\(425\) | −2.65772 | − | 2.65772i | −0.128918 | − | 0.128918i | ||||
\(426\) | 18.8730 | + | 23.6093i | 0.914400 | + | 1.14387i | ||||
\(427\) | 4.85132 | − | 11.7121i | 0.234772 | − | 0.566790i | ||||
\(428\) | −12.4496 | + | 16.0847i | −0.601772 | + | 0.777484i | ||||
\(429\) | 0.532700 | − | 0.556628i | 0.0257190 | − | 0.0268743i | ||||
\(430\) | −1.82359 | + | 13.6310i | −0.0879412 | + | 0.657345i | ||||
\(431\) | 2.95351i | 0.142266i | 0.997467 | + | 0.0711329i | \(0.0226614\pi\) | ||||
−0.997467 | + | 0.0711329i | \(0.977339\pi\) | |||||||
\(432\) | 19.7340 | − | 6.52462i | 0.949451 | − | 0.313916i | ||||
\(433\) | 31.3472i | 1.50645i | 0.657764 | + | 0.753224i | \(0.271503\pi\) | ||||
−0.657764 | + | 0.753224i | \(0.728497\pi\) | |||||||
\(434\) | −13.1027 | − | 1.75291i | −0.628950 | − | 0.0841424i | ||||
\(435\) | 15.6807 | − | 16.3850i | 0.751830 | − | 0.785602i | ||||
\(436\) | 15.5835 | − | 1.98528i | 0.746315 | − | 0.0950776i | ||||
\(437\) | 7.96999 | − | 19.2413i | 0.381256 | − | 0.920434i | ||||
\(438\) | −7.38746 | + | 5.90545i | −0.352987 | + | 0.282173i | ||||
\(439\) | −7.44392 | − | 7.44392i | −0.355279 | − | 0.355279i | 0.506791 | − | 0.862069i | \(-0.330832\pi\) |
−0.862069 | + | 0.506791i | \(0.830832\pi\) | |||||||
\(440\) | −4.01234 | + | 9.51717i | −0.191281 | + | 0.453713i | ||||
\(441\) | 1.40383 | − | 0.0617029i | 0.0668489 | − | 0.00293824i | ||||
\(442\) | 2.17759 | + | 1.26331i | 0.103577 | + | 0.0600897i | ||||
\(443\) | 3.50021 | − | 8.45026i | 0.166300 | − | 0.401484i | −0.818657 | − | 0.574283i | \(-0.805281\pi\) |
0.984957 | + | 0.172799i | \(0.0552810\pi\) | |||||||
\(444\) | −3.38409 | − | 22.5935i | −0.160602 | − | 1.07224i | ||||
\(445\) | −12.8223 | + | 5.31117i | −0.607835 | + | 0.251773i | ||||
\(446\) | 9.01903 | + | 11.8049i | 0.427064 | + | 0.558979i | ||||
\(447\) | −1.90115 | + | 0.836857i | −0.0899213 | + | 0.0395820i | ||||
\(448\) | 0.274559 | − | 21.8610i | 0.0129717 | − | 1.03283i | ||||
\(449\) | 24.0900i | 1.13688i | 0.822725 | + | 0.568439i | \(0.192453\pi\) | ||||
−0.822725 | + | 0.568439i | \(0.807547\pi\) | |||||||
\(450\) | −0.229879 | + | 2.57412i | −0.0108366 | + | 0.121345i | ||||
\(451\) | −0.628866 | − | 1.51822i | −0.0296121 | − | 0.0714901i | ||||
\(452\) | 7.16934 | − | 26.3152i | 0.337217 | − | 1.23776i | ||||
\(453\) | 0.527636 | + | 24.0205i | 0.0247905 | + | 1.12858i | ||||
\(454\) | 12.8947 | − | 22.2266i | 0.605176 | − | 1.04315i | ||||
\(455\) | −1.32037 | − | 1.32037i | −0.0618999 | − | 0.0618999i | ||||
\(456\) | −0.610609 | − | 38.9307i | −0.0285944 | − | 1.82310i | ||||
\(457\) | −13.8807 | + | 13.8807i | −0.649311 | + | 0.649311i | −0.952827 | − | 0.303515i | \(-0.901840\pi\) |
0.303515 | + | 0.952827i | \(0.401840\pi\) | |||||||
\(458\) | −5.57674 | − | 20.9883i | −0.260584 | − | 0.980719i | ||||
\(459\) | 21.1293 | − | 24.1146i | 0.986231 | − | 1.12557i | ||||
\(460\) | 1.56861 | + | 12.3129i | 0.0731370 | + | 0.574091i | ||||
\(461\) | −26.4361 | + | 10.9502i | −1.23125 | + | 0.510001i | −0.900970 | − | 0.433881i | \(-0.857144\pi\) |
−0.330282 | + | 0.943882i | \(0.607144\pi\) | |||||||
\(462\) | −9.91443 | + | 2.86886i | −0.461261 | + | 0.133471i | ||||
\(463\) | 35.7558 | 1.66171 | 0.830857 | − | 0.556485i | \(-0.187850\pi\) | ||||
0.830857 | + | 0.556485i | \(0.187850\pi\) | |||||||
\(464\) | 3.07002 | − | 21.9006i | 0.142522 | − | 1.01671i | ||||
\(465\) | 12.8420 | − | 5.65287i | 0.595535 | − | 0.262145i | ||||
\(466\) | 5.03658 | + | 0.673807i | 0.233315 | + | 0.0312135i | ||||
\(467\) | 1.84875 | + | 4.46327i | 0.0855498 | + | 0.206536i | 0.960865 | − | 0.277018i | \(-0.0893460\pi\) |
−0.875315 | + | 0.483553i | \(0.839346\pi\) | |||||||
\(468\) | −0.293946 | − | 1.70587i | −0.0135877 | − | 0.0788540i | ||||
\(469\) | 3.50818 | + | 1.45313i | 0.161993 | + | 0.0670995i | ||||
\(470\) | −1.33143 | − | 5.01089i | −0.0614142 | − | 0.231135i | ||||
\(471\) | 14.4720 | + | 5.62542i | 0.666834 | + | 0.259206i | ||||
\(472\) | 22.8212 | + | 0.143304i | 1.05043 | + | 0.00659610i | ||||
\(473\) | 4.47652 | − | 4.47652i | 0.205831 | − | 0.205831i | ||||
\(474\) | −6.72090 | − | 0.749305i | −0.308701 | − | 0.0344167i | ||||
\(475\) | 4.47273 | + | 1.85266i | 0.205223 | + | 0.0850060i | ||||
\(476\) | −16.7400 | − | 29.2769i | −0.767278 | − | 1.34191i | ||||
\(477\) | 37.7726 | + | 13.7356i | 1.72949 | + | 0.628911i | ||||
\(478\) | 15.1200 | + | 19.7904i | 0.691572 | + | 0.905190i | ||||
\(479\) | 15.8988 | 0.726433 | 0.363216 | − | 0.931705i | \(-0.381679\pi\) | ||||
0.363216 | + | 0.931705i | \(0.381679\pi\) | |||||||
\(480\) | 11.8328 | + | 19.9615i | 0.540092 | + | 0.911114i | ||||
\(481\) | −1.90265 | −0.0867535 | ||||||||
\(482\) | −5.31134 | − | 6.95196i | −0.241925 | − | 0.316653i | ||||
\(483\) | −8.57603 | + | 8.96126i | −0.390223 | + | 0.407751i | ||||
\(484\) | −14.9710 | + | 8.56013i | −0.680499 | + | 0.389097i | ||||
\(485\) | 22.6807 | + | 9.39466i | 1.02988 | + | 0.426590i | ||||
\(486\) | −22.0395 | − | 0.510969i | −0.999731 | − | 0.0231780i | ||||
\(487\) | −10.4283 | + | 10.4283i | −0.472552 | + | 0.472552i | −0.902740 | − | 0.430187i | \(-0.858448\pi\) |
0.430187 | + | 0.902740i | \(0.358448\pi\) | |||||||
\(488\) | 9.21919 | + | 9.33570i | 0.417333 | + | 0.422607i | ||||
\(489\) | 1.88657 | − | 4.85341i | 0.0853138 | − | 0.219479i | ||||
\(490\) | 0.402869 | + | 1.51622i | 0.0181998 | + | 0.0684957i | ||||
\(491\) | 0.306137 | + | 0.126806i | 0.0138158 | + | 0.00572268i | 0.389581 | − | 0.920992i | \(-0.372620\pi\) |
−0.375765 | + | 0.926715i | \(0.622620\pi\) | |||||||
\(492\) | −3.58269 | − | 0.892036i | −0.161520 | − | 0.0402161i | ||||
\(493\) | −13.0547 | − | 31.5169i | −0.587956 | − | 1.41945i | ||||
\(494\) | −3.21404 | − | 0.429983i | −0.144607 | − | 0.0193458i | ||||
\(495\) | 7.39867 | − | 8.07896i | 0.332545 | − | 0.363122i | ||||
\(496\) | 6.93988 | − | 11.7911i | 0.311610 | − | 0.529437i | ||||
\(497\) | −33.7220 | −1.51264 | ||||||||
\(498\) | 4.50365 | + | 15.5641i | 0.201813 | + | 0.697443i | ||||
\(499\) | 5.62549 | − | 2.33015i | 0.251831 | − | 0.104312i | −0.253197 | − | 0.967415i | \(-0.581482\pi\) |
0.505028 | + | 0.863103i | \(0.331482\pi\) | |||||||
\(500\) | 20.6315 | − | 2.62838i | 0.922671 | − | 0.117545i | ||||
\(501\) | −0.100502 | − | 4.57535i | −0.00449012 | − | 0.204411i | ||||
\(502\) | −8.71976 | − | 32.8172i | −0.389182 | − | 1.46470i | ||||
\(503\) | −10.6198 | + | 10.6198i | −0.473513 | + | 0.473513i | −0.903050 | − | 0.429536i | \(-0.858677\pi\) |
0.429536 | + | 0.903050i | \(0.358677\pi\) | |||||||
\(504\) | −8.06139 | + | 21.7425i | −0.359083 | + | 0.968490i | ||||
\(505\) | 19.1599 | + | 19.1599i | 0.852605 | + | 0.852605i | ||||
\(506\) | 2.86730 | − | 4.94238i | 0.127467 | − | 0.219716i | ||||
\(507\) | 22.3671 | − | 0.491317i | 0.993358 | − | 0.0218202i | ||||
\(508\) | −14.9625 | − | 4.07641i | −0.663855 | − | 0.180861i | ||||
\(509\) | −2.01172 | − | 4.85673i | −0.0891681 | − | 0.215271i | 0.873004 | − | 0.487713i | \(-0.162169\pi\) |
−0.962172 | + | 0.272442i | \(0.912169\pi\) | |||||||
\(510\) | 31.3494 | + | 17.2784i | 1.38818 | + | 0.765100i | ||||
\(511\) | − | 10.5518i | − | 0.466783i | ||||||
\(512\) | 20.7382 | + | 9.05139i | 0.916507 | + | 0.400019i | ||||
\(513\) | −13.2575 | + | 39.1115i | −0.585332 | + | 1.72681i | ||||
\(514\) | −10.2028 | − | 13.3544i | −0.450028 | − | 0.589037i | ||||
\(515\) | 32.4366 | − | 13.4357i | 1.42933 | − | 0.592046i | ||||
\(516\) | −2.10691 | − | 14.0666i | −0.0927517 | − | 0.619248i | ||||
\(517\) | −0.913364 | + | 2.20506i | −0.0401697 | + | 0.0969783i | ||||
\(518\) | 22.0467 | + | 12.7903i | 0.968677 | + | 0.561973i | ||||
\(519\) | −16.7609 | − | 6.51513i | −0.735721 | − | 0.285983i | ||||
\(520\) | 1.79010 | − | 0.728348i | 0.0785010 | − | 0.0319402i | ||||
\(521\) | −19.9974 | − | 19.9974i | −0.876102 | − | 0.876102i | 0.117027 | − | 0.993129i | \(-0.462664\pi\) |
−0.993129 | + | 0.117027i | \(0.962664\pi\) | |||||||
\(522\) | −10.8683 | + | 20.7864i | −0.475694 | + | 0.909795i | ||||
\(523\) | −15.2948 | + | 36.9248i | −0.668793 | + | 1.61461i | 0.114839 | + | 0.993384i | \(0.463365\pi\) |
−0.783632 | + | 0.621225i | \(0.786635\pi\) | |||||||
\(524\) | 0.319486 | + | 2.50782i | 0.0139568 | + | 0.109554i | ||||
\(525\) | −2.08309 | − | 1.99354i | −0.0909134 | − | 0.0870053i | ||||
\(526\) | −23.0330 | − | 3.08141i | −1.00429 | − | 0.134356i | ||||
\(527\) | − | 21.1053i | − | 0.919360i | ||||||
\(528\) | 1.25025 | − | 10.6088i | 0.0544101 | − | 0.461687i | ||||
\(529\) | 16.1332i | 0.701443i | ||||||||
\(530\) | −5.95023 | + | 44.4769i | −0.258462 | + | 1.93195i | ||||
\(531\) | −22.7487 | − | 8.27232i | −0.987208 | − | 0.358988i | ||||
\(532\) | 34.3518 | + | 26.5883i | 1.48934 | + | 1.15275i | ||||
\(533\) | −0.117671 | + | 0.284082i | −0.00509688 | + | 0.0123050i | ||||
\(534\) | 11.2121 | − | 8.96279i | 0.485193 | − | 0.387858i | ||||
\(535\) | 17.0314 | + | 17.0314i | 0.736332 | + | 0.736332i | ||||
\(536\) | −2.79636 | + | 2.76146i | −0.120784 | + | 0.119277i | ||||
\(537\) | −0.00872561 | + | 0.0224476i | −0.000376538 | + | 0.000968684i | ||||
\(538\) | 10.5604 | − | 18.2030i | 0.455289 | − | 0.784786i | ||||
\(539\) | 0.276370 | − | 0.667216i | 0.0119041 | − | 0.0287390i | ||||
\(540\) | −4.71119 | − | 24.1576i | −0.202737 | − | 1.03958i | ||||
\(541\) | −35.6786 | + | 14.7786i | −1.53394 | + | 0.635380i | −0.980325 | − | 0.197391i | \(-0.936753\pi\) |
−0.553618 | + | 0.832771i | \(0.686753\pi\) | |||||||
\(542\) | 7.94840 | − | 6.07263i | 0.341413 | − | 0.260842i | ||||
\(543\) | −7.13898 | − | 16.2181i | −0.306363 | − | 0.695987i | ||||
\(544\) | 34.6517 | − | 4.19354i | 1.48568 | − | 0.179797i | ||||
\(545\) | − | 18.6029i | − | 0.796859i | ||||||
\(546\) | 1.69137 | + | 0.932204i | 0.0723837 | + | 0.0398946i | ||||
\(547\) | 12.4112 | + | 29.9634i | 0.530666 | + | 1.28114i | 0.931083 | + | 0.364808i | \(0.118865\pi\) |
−0.400416 | + | 0.916333i | \(0.631135\pi\) | |||||||
\(548\) | −18.5258 | + | 10.5927i | −0.791381 | + | 0.452498i | ||||
\(549\) | −5.88502 | − | 12.6109i | −0.251167 | − | 0.538219i | ||||
\(550\) | 1.14888 | + | 0.666517i | 0.0489885 | + | 0.0284204i | ||||
\(551\) | 31.0704 | + | 31.0704i | 1.32364 | + | 1.32364i | ||||
\(552\) | −5.09813 | − | 11.7819i | −0.216991 | − | 0.501470i | ||||
\(553\) | 5.33499 | − | 5.33499i | 0.226867 | − | 0.226867i | ||||
\(554\) | −1.67759 | + | 0.445748i | −0.0712741 | + | 0.0189380i | ||||
\(555\) | −27.0467 | + | 0.594111i | −1.14807 | + | 0.0252186i | ||||
\(556\) | −1.70455 | − | 1.31932i | −0.0722892 | − | 0.0559518i | ||||
\(557\) | −9.30090 | + | 3.85256i | −0.394092 | + | 0.163238i | −0.570924 | − | 0.821003i | \(-0.693415\pi\) |
0.176832 | + | 0.984241i | \(0.443415\pi\) | |||||||
\(558\) | −11.1334 | + | 9.30795i | −0.471316 | + | 0.394037i | ||||
\(559\) | −1.18458 | −0.0501025 | ||||||||
\(560\) | −25.6387 | − | 3.59402i | −1.08343 | − | 0.151875i | ||||
\(561\) | −6.63869 | − | 15.0816i | −0.280286 | − | 0.636746i | ||||
\(562\) | −3.18804 | + | 23.8300i | −0.134479 | + | 1.00521i | ||||
\(563\) | −1.24166 | − | 2.99763i | −0.0523297 | − | 0.126335i | 0.895553 | − | 0.444955i | \(-0.146780\pi\) |
−0.947882 | + | 0.318620i | \(0.896780\pi\) | |||||||
\(564\) | 2.76330 | + | 4.59555i | 0.116356 | + | 0.193507i | ||||
\(565\) | −29.8392 | − | 12.3598i | −1.25535 | − | 0.519981i | ||||
\(566\) | 18.9597 | − | 5.03773i | 0.796937 | − | 0.211752i | ||||
\(567\) | 15.7987 | − | 18.8505i | 0.663483 | − | 0.791646i | ||||
\(568\) | 13.5585 | − | 32.1603i | 0.568900 | − | 1.34942i | ||||
\(569\) | −28.3250 | + | 28.3250i | −1.18745 | + | 1.18745i | −0.209674 | + | 0.977771i | \(0.567240\pi\) |
−0.977771 | + | 0.209674i | \(0.932760\pi\) | |||||||
\(570\) | −45.8228 | − | 5.10873i | −1.91931 | − | 0.213981i | ||||
\(571\) | −37.5476 | − | 15.5527i | −1.57132 | − | 0.650862i | −0.584310 | − | 0.811530i | \(-0.698635\pi\) |
−0.987008 | + | 0.160669i | \(0.948635\pi\) | |||||||
\(572\) | −0.858362 | − | 0.233853i | −0.0358899 | − | 0.00977789i | ||||
\(573\) | 9.73473 | + | 9.31626i | 0.406674 | + | 0.389192i | ||||
\(574\) | 3.27319 | − | 2.50074i | 0.136620 | − | 0.104379i | ||||
\(575\) | 1.59623 | 0.0665673 | ||||||||
\(576\) | −17.4944 | − | 16.4300i | −0.728935 | − | 0.684583i | ||||
\(577\) | 5.37886 | 0.223925 | 0.111962 | − | 0.993712i | \(-0.464286\pi\) | ||||
0.111962 | + | 0.993712i | \(0.464286\pi\) | |||||||
\(578\) | 23.6809 | − | 18.0924i | 0.984995 | − | 0.752543i | ||||
\(579\) | −7.80249 | − | 7.46708i | −0.324260 | − | 0.310321i | ||||
\(580\) | −25.2669 | − | 6.88375i | −1.04915 | − | 0.285832i | ||||
\(581\) | −16.7008 | − | 6.91770i | −0.692866 | − | 0.286994i | ||||
\(582\) | −25.2340 | − | 2.81331i | −1.04598 | − | 0.116616i | ||||
\(583\) | 14.6066 | − | 14.6066i | 0.604942 | − | 0.604942i | ||||
\(584\) | 10.0631 | + | 4.24251i | 0.416415 | + | 0.175556i | ||||
\(585\) | −2.04785 | + | 0.0900101i | −0.0846684 | + | 0.00372146i | ||||
\(586\) | 36.6021 | − | 9.72544i | 1.51202 | − | 0.401754i | ||||
\(587\) | −1.77252 | − | 0.734203i | −0.0731599 | − | 0.0303038i | 0.345803 | − | 0.938307i | \(-0.387606\pi\) |
−0.418963 | + | 0.908003i | \(0.637606\pi\) | |||||||
\(588\) | −0.836132 | − | 1.39054i | −0.0344815 | − | 0.0573449i | ||||
\(589\) | 10.4031 | + | 25.1154i | 0.428653 | + | 1.03486i | ||||
\(590\) | 3.58355 | − | 26.7864i | 0.147532 | − | 1.10278i | ||||
\(591\) | 5.21743 | + | 11.8528i | 0.214616 | + | 0.487560i | ||||
\(592\) | −21.0622 | + | 15.8832i | −0.865651 | + | 0.652795i | ||||
\(593\) | −24.1664 | −0.992394 | −0.496197 | − | 0.868210i | \(-0.665271\pi\) | ||||
−0.496197 | + | 0.868210i | \(0.665271\pi\) | |||||||
\(594\) | −5.02802 | + | 10.1534i | −0.206302 | + | 0.416599i | ||||
\(595\) | −36.8964 | + | 15.2830i | −1.51260 | + | 0.626541i | ||||
\(596\) | 1.89675 | + | 1.46808i | 0.0776940 | + | 0.0601351i | ||||
\(597\) | 30.4931 | − | 0.669813i | 1.24800 | − | 0.0274136i | ||||
\(598\) | −1.03330 | + | 0.274556i | −0.0422549 | + | 0.0112274i | ||||
\(599\) | 11.6692 | − | 11.6692i | 0.476789 | − | 0.476789i | −0.427314 | − | 0.904103i | \(-0.640540\pi\) |
0.904103 | + | 0.427314i | \(0.140540\pi\) | |||||||
\(600\) | 2.73876 | − | 1.18509i | 0.111809 | − | 0.0483809i | ||||
\(601\) | −8.80143 | − | 8.80143i | −0.359018 | − | 0.359018i | 0.504433 | − | 0.863451i | \(-0.331702\pi\) |
−0.863451 | + | 0.504433i | \(0.831702\pi\) | |||||||
\(602\) | 13.7262 | + | 7.96316i | 0.559437 | + | 0.324554i | ||||
\(603\) | 3.77738 | − | 1.76276i | 0.153827 | − | 0.0717852i | ||||
\(604\) | 24.0841 | − | 13.7709i | 0.979970 | − | 0.560329i | ||||
\(605\) | 7.81507 | + | 18.8672i | 0.317728 | + | 0.767062i | ||||
\(606\) | −24.5434 | − | 13.5272i | −0.997009 | − | 0.549506i | ||||
\(607\) | 31.9215i | 1.29565i | 0.761788 | + | 0.647826i | \(0.224322\pi\) | ||||
−0.761788 | + | 0.647826i | \(0.775678\pi\) | |||||||
\(608\) | −39.1686 | + | 22.0707i | −1.58850 | + | 0.895086i | ||||
\(609\) | −10.5432 | − | 23.9517i | −0.427231 | − | 0.970573i | ||||
\(610\) | 12.3462 | − | 9.43257i | 0.499882 | − | 0.381914i | ||||
\(611\) | 0.412600 | − | 0.170905i | 0.0166920 | − | 0.00691406i | ||||
\(612\) | −36.1128 | − | 8.15369i | −1.45977 | − | 0.329594i | ||||
\(613\) | 7.35458 | − | 17.7555i | 0.297049 | − | 0.717139i | −0.702934 | − | 0.711255i | \(-0.748127\pi\) |
0.999983 | − | 0.00588391i | \(-0.00187292\pi\) | |||||||
\(614\) | −0.510333 | + | 0.879665i | −0.0205954 | + | 0.0355004i | ||||
\(615\) | −1.58401 | + | 4.07504i | −0.0638736 | + | 0.164322i | ||||
\(616\) | 8.37411 | + | 8.47994i | 0.337402 | + | 0.341667i | ||||
\(617\) | 13.5933 | + | 13.5933i | 0.547246 | + | 0.547246i | 0.925643 | − | 0.378397i | \(-0.123525\pi\) |
−0.378397 | + | 0.925643i | \(0.623525\pi\) | |||||||
\(618\) | −28.3632 | + | 22.6732i | −1.14093 | + | 0.912050i | ||||
\(619\) | −3.75210 | + | 9.05838i | −0.150810 | + | 0.364087i | −0.981172 | − | 0.193137i | \(-0.938134\pi\) |
0.830362 | + | 0.557224i | \(0.188134\pi\) | |||||||
\(620\) | −12.8123 | − | 9.91673i | −0.514555 | − | 0.398265i | ||||
\(621\) | 0.896498 | + | 13.5868i | 0.0359752 | + | 0.545219i | ||||
\(622\) | 0.956420 | − | 7.14907i | 0.0383489 | − | 0.286651i | ||||
\(623\) | 16.0146i | 0.641611i | ||||||||
\(624\) | −1.56907 | + | 1.23823i | −0.0628132 | + | 0.0495689i | ||||
\(625\) | − | 27.6746i | − | 1.10699i | ||||||
\(626\) | 46.0365 | + | 6.15887i | 1.83999 | + | 0.246158i | ||||
\(627\) | 15.3340 | + | 14.6749i | 0.612383 | + | 0.586058i | ||||
\(628\) | −2.26576 | − | 17.7852i | −0.0904136 | − | 0.709705i | ||||
\(629\) | −15.5725 | + | 37.5953i | −0.620915 | + | 1.49902i | ||||
\(630\) | 24.3343 | + | 12.7234i | 0.969502 | + | 0.506912i | ||||
\(631\) | 5.39207 | + | 5.39207i | 0.214655 | + | 0.214655i | 0.806242 | − | 0.591587i | \(-0.201498\pi\) |
−0.591587 | + | 0.806242i | \(0.701498\pi\) | |||||||
\(632\) | 2.94291 | + | 7.23293i | 0.117063 | + | 0.287711i | ||||
\(633\) | −2.04183 | − | 0.793682i | −0.0811556 | − | 0.0315460i | ||||
\(634\) | 4.54078 | + | 2.63431i | 0.180337 | + | 0.104622i | ||||
\(635\) | −7.02766 | + | 16.9663i | −0.278884 | + | 0.673286i | ||||
\(636\) | −6.87470 | − | 45.8983i | −0.272600 | − | 1.81999i | ||||
\(637\) | −0.124846 | + | 0.0517131i | −0.00494659 | + | 0.00204895i | ||||
\(638\) | 7.31873 | + | 9.57940i | 0.289751 | + | 0.379252i | ||||
\(639\) | −25.0015 | + | 27.3003i | −0.989044 | + | 1.07999i | ||||
\(640\) | 13.7360 | − | 23.0063i | 0.542964 | − | 0.909405i | ||||
\(641\) | − | 1.82203i | − | 0.0719659i | −0.999352 | − | 0.0359830i | \(-0.988544\pi\) | ||
0.999352 | − | 0.0359830i | \(-0.0114562\pi\) | |||||||
\(642\) | −21.8169 | − | 12.0245i | −0.861043 | − | 0.474568i | ||||
\(643\) | −10.4095 | − | 25.1308i | −0.410511 | − | 0.991062i | −0.985001 | − | 0.172550i | \(-0.944799\pi\) |
0.574489 | − | 0.818512i | \(-0.305201\pi\) | |||||||
\(644\) | 13.8189 | + | 3.76484i | 0.544542 | + | 0.148355i | ||||
\(645\) | −16.8392 | + | 0.369890i | −0.663041 | + | 0.0145644i | ||||
\(646\) | −34.8019 | + | 59.9883i | −1.36926 | + | 2.36021i | ||||
\(647\) | 27.3258 | + | 27.3258i | 1.07429 | + | 1.07429i | 0.997010 | + | 0.0772785i | \(0.0246231\pi\) |
0.0772785 | + | 0.997010i | \(0.475377\pi\) | |||||||
\(648\) | 11.6254 | + | 22.6462i | 0.456689 | + | 0.889626i | ||||
\(649\) | −8.79684 | + | 8.79684i | −0.345306 | + | 0.345306i | ||||
\(650\) | −0.0638219 | − | 0.240197i | −0.00250330 | − | 0.00942129i | ||||
\(651\) | −0.355554 | − | 16.1865i | −0.0139353 | − | 0.634400i | ||||
\(652\) | −5.96453 | + | 0.759858i | −0.233589 | + | 0.0297583i | ||||
\(653\) | 21.5061 | − | 8.90811i | 0.841598 | − | 0.348601i | 0.0801145 | − | 0.996786i | \(-0.474471\pi\) |
0.761483 | + | 0.648184i | \(0.224471\pi\) | |||||||
\(654\) | 5.34796 | + | 18.4819i | 0.209122 | + | 0.722699i | ||||
\(655\) | 2.99371 | 0.116974 | ||||||||
\(656\) | 1.06889 | + | 4.12706i | 0.0417332 | + | 0.161135i | ||||
\(657\) | −8.54241 | − | 7.82309i | −0.333271 | − | 0.305208i | ||||
\(658\) | −5.92982 | − | 0.793306i | −0.231169 | − | 0.0309263i | ||||
\(659\) | −17.2778 | − | 41.7123i | −0.673048 | − | 1.62488i | −0.776403 | − | 0.630237i | \(-0.782958\pi\) |
0.103355 | − | 0.994644i | \(-0.467042\pi\) | |||||||
\(660\) | −12.2749 | − | 3.05626i | −0.477799 | − | 0.118965i | ||||
\(661\) | 44.7407 | + | 18.5322i | 1.74021 | + | 0.720819i | 0.998759 | + | 0.0498140i | \(0.0158629\pi\) |
0.741453 | + | 0.671005i | \(0.234137\pi\) | |||||||
\(662\) | 3.08505 | + | 11.6107i | 0.119904 | + | 0.451264i | ||||
\(663\) | −1.11709 | + | 2.87383i | −0.0433841 | + | 0.111610i | ||||
\(664\) | 13.3122 | − | 13.1460i | 0.516612 | − | 0.510164i | ||||
\(665\) | 36.3736 | − | 36.3736i | 1.41051 | − | 1.41051i | ||||
\(666\) | 26.7001 | − | 8.36566i | 1.03461 | − | 0.324163i | ||||
\(667\) | 13.3849 | + | 5.54420i | 0.518265 | + | 0.214672i | ||||
\(668\) | −4.58747 | + | 2.62303i | −0.177495 | + | 0.101488i | ||||
\(669\) | −12.5800 | + | 13.1451i | −0.486370 | + | 0.508217i | ||||
\(670\) | 2.82537 | + | 3.69810i | 0.109154 | + | 0.142870i | ||||
\(671\) | −7.15231 | −0.276112 | ||||||||
\(672\) | 26.5052 | − | 3.79997i | 1.02246 | − | 0.146587i | ||||
\(673\) | −10.8139 | −0.416844 | −0.208422 | − | 0.978039i | \(-0.566833\pi\) | ||||
−0.208422 | + | 0.978039i | \(0.566833\pi\) | |||||||
\(674\) | 20.8436 | + | 27.2819i | 0.802865 | + | 1.05086i | ||||
\(675\) | −3.15831 | + | 0.208395i | −0.121564 | + | 0.00802114i | ||||
\(676\) | −12.8230 | − | 22.4264i | −0.493192 | − | 0.862553i | ||||
\(677\) | −16.7436 | − | 6.93541i | −0.643507 | − | 0.266549i | 0.0369727 | − | 0.999316i | \(-0.488229\pi\) |
−0.680480 | + | 0.732767i | \(0.738229\pi\) | |||||||
\(678\) | 33.1984 | + | 3.70125i | 1.27498 | + | 0.142146i | ||||
\(679\) | 20.0305 | − | 20.0305i | 0.768701 | − | 0.768701i | ||||
\(680\) | 0.259543 | − | 41.3325i | 0.00995304 | − | 1.58503i | ||||
\(681\) | 29.3332 | + | 11.4021i | 1.12405 | + | 0.436930i | ||||
\(682\) | 1.91526 | + | 7.20816i | 0.0733391 | + | 0.276015i | ||||
\(683\) | 43.5660 | + | 18.0456i | 1.66701 | + | 0.690497i | 0.998580 | − | 0.0532798i | \(-0.0169675\pi\) |
0.668428 | + | 0.743777i | \(0.266968\pi\) | |||||||
\(684\) | 46.9935 | − | 8.09765i | 1.79684 | − | 0.309621i | ||||
\(685\) | 9.67071 | + | 23.3472i | 0.369499 | + | 0.892049i | ||||
\(686\) | −25.0205 | − | 3.34731i | −0.955288 | − | 0.127801i | ||||
\(687\) | 24.3432 | − | 10.7155i | 0.928751 | − | 0.408822i | ||||
\(688\) | −13.1132 | + | 9.88880i | −0.499936 | + | 0.377007i | ||||
\(689\) | −3.86521 | −0.147253 | ||||||||
\(690\) | −14.6030 | + | 4.22554i | −0.555925 | + | 0.160864i | ||||
\(691\) | −5.29763 | + | 2.19435i | −0.201531 | + | 0.0834771i | −0.481166 | − | 0.876629i | \(-0.659787\pi\) |
0.279635 | + | 0.960106i | \(0.409787\pi\) | |||||||
\(692\) | 2.62411 | + | 20.5980i | 0.0997536 | + | 0.783020i | ||||
\(693\) | −5.34557 | − | 11.4549i | −0.203061 | − | 0.435135i | ||||
\(694\) | 1.30873 | + | 4.92548i | 0.0496789 | + | 0.186969i | ||||
\(695\) | −1.80488 | + | 1.80488i | −0.0684630 | + | 0.0684630i | ||||
\(696\) | 27.0816 | − | 0.424761i | 1.02652 | − | 0.0161005i | ||||
\(697\) | 4.65020 | + | 4.65020i | 0.176139 | + | 0.176139i | ||||
\(698\) | 8.24815 | − | 14.2174i | 0.312197 | − | 0.538137i | ||||
\(699\) | 0.136673 | + | 6.22199i | 0.00516943 | + | 0.235337i | ||||
\(700\) | −0.875156 | + | 3.21228i | −0.0330778 | + | 0.121413i | ||||
\(701\) | −13.7184 | − | 33.1190i | −0.518135 | − | 1.25089i | −0.939047 | − | 0.343787i | \(-0.888290\pi\) |
0.420912 | − | 0.907101i | \(-0.361710\pi\) | |||||||
\(702\) | 2.00866 | − | 0.678143i | 0.0758121 | − | 0.0255949i | ||||
\(703\) | − | 52.4144i | − | 1.97685i | ||||||
\(704\) | −11.4542 | + | 4.57681i | −0.431695 | + | 0.172495i | ||||
\(705\) | 5.81186 | − | 2.55829i | 0.218887 | − | 0.0963508i | ||||
\(706\) | −4.82971 | − | 6.32156i | −0.181769 | − | 0.237915i | ||||
\(707\) | 28.8861 | − | 11.9650i | 1.08638 | − | 0.449991i | ||||
\(708\) | 4.14031 | + | 27.6424i | 0.155602 | + | 1.03886i | ||||
\(709\) | −1.39804 | + | 3.37516i | −0.0525044 | + | 0.126757i | −0.947955 | − | 0.318403i | \(-0.896853\pi\) |
0.895451 | + | 0.445160i | \(0.146853\pi\) | |||||||
\(710\) | −35.7493 | − | 20.7398i | −1.34165 | − | 0.778349i | ||||
\(711\) | −0.363688 | − | 8.27440i | −0.0136394 | − | 0.310314i | ||||
\(712\) | −15.2729 | − | 6.43891i | −0.572378 | − | 0.241309i | ||||
\(713\) | 6.33792 | + | 6.33792i | 0.237357 | + | 0.237357i | ||||
\(714\) | 32.2629 | − | 25.7906i | 1.20741 | − | 0.965189i | ||||
\(715\) | −0.403158 | + | 0.973311i | −0.0150773 | + | 0.0363998i | ||||
\(716\) | 0.0275866 | − | 0.00351443i | 0.00103096 | − | 0.000131340i | ||||
\(717\) | −21.0897 | + | 22.0371i | −0.787610 | + | 0.822989i | ||||
\(718\) | −44.3610 | − | 5.93472i | −1.65554 | − | 0.221482i | ||||
\(719\) | − | 25.3851i | − | 0.946706i | −0.880873 | − | 0.473353i | \(-0.843044\pi\) | ||
0.880873 | − | 0.473353i | \(-0.156956\pi\) | |||||||
\(720\) | −21.9182 | + | 18.0917i | −0.816841 | + | 0.674239i | ||||
\(721\) | − | 40.5121i | − | 1.50875i | ||||||
\(722\) | 8.28220 | − | 61.9080i | 0.308232 | − | 2.30398i | ||||
\(723\) | 7.40840 | − | 7.74117i | 0.275521 | − | 0.287897i | ||||
\(724\) | −12.5238 | + | 16.1806i | −0.465443 | + | 0.601348i | ||||
\(725\) | −1.28878 | + | 3.11138i | −0.0478640 | + | 0.115554i | ||||
\(726\) | −13.1882 | − | 16.4979i | −0.489461 | − | 0.612294i | ||||
\(727\) | −32.5294 | − | 32.5294i | −1.20645 | − | 1.20645i | −0.972169 | − | 0.234280i | \(-0.924727\pi\) |
−0.234280 | − | 0.972169i | \(-0.575273\pi\) | |||||||
\(728\) | 0.0140029 | − | 2.22997i | 0.000518982 | − | 0.0826482i | ||||
\(729\) | −3.54764 | − | 26.7659i | −0.131394 | − | 0.991330i | ||||
\(730\) | 6.48957 | − | 11.1861i | 0.240190 | − | 0.414017i | ||||
\(731\) | −9.69534 | + | 23.4066i | −0.358595 | + | 0.865725i | ||||
\(732\) | −9.55423 | + | 12.9205i | −0.353134 | + | 0.477556i | ||||
\(733\) | 26.3419 | − | 10.9112i | 0.972961 | − | 0.403014i | 0.161147 | − | 0.986930i | \(-0.448481\pi\) |
0.811814 | + | 0.583917i | \(0.198481\pi\) | |||||||
\(734\) | −29.2332 | + | 22.3343i | −1.07902 | + | 0.824376i | ||||
\(735\) | −1.75858 | + | 0.774099i | −0.0648661 | + | 0.0285531i | ||||
\(736\) | −9.14660 | + | 11.6652i | −0.337148 | + | 0.429987i | ||||
\(737\) | − | 2.14236i | − | 0.0789147i | ||||||
\(738\) | 0.402218 | − | 4.50392i | 0.0148059 | − | 0.165792i | ||||
\(739\) | 13.4201 | + | 32.3991i | 0.493668 | + | 1.19182i | 0.952840 | + | 0.303473i | \(0.0981461\pi\) |
−0.459172 | + | 0.888347i | \(0.651854\pi\) | |||||||
\(740\) | 15.5058 | + | 27.1184i | 0.570005 | + | 0.996893i | ||||
\(741\) | −0.0872162 | − | 3.97050i | −0.00320397 | − | 0.145860i | ||||
\(742\) | 44.7875 | + | 25.9832i | 1.64420 | + | 0.953874i | ||||
\(743\) | 5.42669 | + | 5.42669i | 0.199086 | + | 0.199086i | 0.799608 | − | 0.600522i | \(-0.205041\pi\) |
−0.600522 | + | 0.799608i | \(0.705041\pi\) | |||||||
\(744\) | 15.5799 | + | 6.16896i | 0.571186 | + | 0.226165i | ||||
\(745\) | 2.00839 | − | 2.00839i | 0.0735817 | − | 0.0735817i | ||||
\(746\) | −24.8087 | + | 6.59183i | −0.908309 | + | 0.241344i | ||||
\(747\) | −17.9823 | + | 8.39169i | −0.657939 | + | 0.307036i | ||||
\(748\) | −11.6461 | + | 15.0467i | −0.425825 | + | 0.550162i | ||||
\(749\) | 25.6771 | − | 10.6358i | 0.938222 | − | 0.388624i | ||||
\(750\) | 7.08034 | + | 24.4688i | 0.258538 | + | 0.893474i | ||||
\(751\) | 3.67683 | 0.134170 | 0.0670848 | − | 0.997747i | \(-0.478630\pi\) | ||||
0.0670848 | + | 0.997747i | \(0.478630\pi\) | |||||||
\(752\) | 3.14075 | − | 5.33625i | 0.114531 | − | 0.194593i | ||||
\(753\) | 38.0629 | − | 16.7547i | 1.38709 | − | 0.610576i | ||||
\(754\) | 0.299111 | − | 2.23580i | 0.0108930 | − | 0.0814231i | ||||
\(755\) | −12.5723 | − | 30.3521i | −0.457552 | − | 1.10463i | ||||
\(756\) | −27.8338 | − | 5.64503i | −1.01231 | − | 0.205308i | ||||
\(757\) | −13.0816 | − | 5.41857i | −0.475458 | − | 0.196941i | 0.132068 | − | 0.991241i | \(-0.457838\pi\) |
−0.607526 | + | 0.794299i | \(0.707838\pi\) | |||||||
\(758\) | 17.5565 | − | 4.66488i | 0.637680 | − | 0.169436i | ||||
\(759\) | 6.52262 | + | 2.53541i | 0.236756 | + | 0.0920296i | ||||
\(760\) | 20.0646 | + | 49.3138i | 0.727819 | + | 1.78880i | ||||
\(761\) | 25.8277 | − | 25.8277i | 0.936254 | − | 0.936254i | −0.0618325 | − | 0.998087i | \(-0.519694\pi\) |
0.998087 | + | 0.0618325i | \(0.0196945\pi\) | |||||||
\(762\) | 2.10449 | − | 18.8763i | 0.0762377 | − | 0.683815i | ||||
\(763\) | −19.8317 | − | 8.21457i | −0.717957 | − | 0.297387i | ||||
\(764\) | 4.08980 | − | 15.0117i | 0.147964 | − | 0.543104i | ||||
\(765\) | −14.9823 | + | 41.2010i | −0.541688 | + | 1.48963i | ||||
\(766\) | −5.90997 | + | 4.51526i | −0.213536 | + | 0.163143i | ||||
\(767\) | 2.32783 | 0.0840532 | ||||||||
\(768\) | −7.03284 | + | 26.8056i | −0.253776 | + | 0.967263i | ||||
\(769\) | −22.8386 | −0.823580 | −0.411790 | − | 0.911279i | \(-0.635096\pi\) | ||||
−0.411790 | + | 0.911279i | \(0.635096\pi\) | |||||||
\(770\) | 11.2145 | − | 8.56793i | 0.404141 | − | 0.308767i | ||||
\(771\) | 14.2312 | − | 14.8704i | 0.512524 | − | 0.535546i | ||||
\(772\) | −3.27802 | + | 12.0320i | −0.117978 | + | 0.433042i | ||||
\(773\) | −8.07057 | − | 3.34294i | −0.290278 | − | 0.120237i | 0.232793 | − | 0.972526i | \(-0.425214\pi\) |
−0.523071 | + | 0.852289i | \(0.675214\pi\) | |||||||
\(774\) | 16.6233 | − | 5.20841i | 0.597513 | − | 0.187213i | ||||
\(775\) | −1.47328 | + | 1.47328i | −0.0529219 | + | 0.0529219i | ||||
\(776\) | 11.0493 | + | 27.1565i | 0.396647 | + | 0.974861i | ||||
\(777\) | −11.3098 | + | 29.0957i | −0.405738 | + | 1.04380i | ||||
\(778\) | −38.3716 | + | 10.1956i | −1.37569 | + | 0.365531i | ||||
\(779\) | −7.82591 | − | 3.24160i | −0.280392 | − | 0.116142i | ||||
\(780\) | 1.21972 | + | 2.02847i | 0.0436730 | + | 0.0726309i | ||||
\(781\) | 7.28079 | + | 17.5774i | 0.260527 | + | 0.628968i | ||||
\(782\) | −3.03212 | + | 22.6646i | −0.108429 | + | 0.810484i | ||||
\(783\) | −27.2073 | − | 9.22236i | −0.972311 | − | 0.329580i | ||||
\(784\) | −0.950341 | + | 1.61467i | −0.0339407 | + | 0.0576666i | ||||
\(785\) | −21.2311 | −0.757769 | ||||||||
\(786\) | −2.97424 | + | 0.860633i | −0.106088 | + | 0.0306978i | ||||
\(787\) | 23.1792 | − | 9.60114i | 0.826249 | − | 0.342244i | 0.0708325 | − | 0.997488i | \(-0.477434\pi\) |
0.755417 | + | 0.655245i | \(0.227434\pi\) | |||||||
\(788\) | 9.15285 | − | 11.8254i | 0.326057 | − | 0.421262i | ||||
\(789\) | −0.625023 | − | 28.4540i | −0.0222514 | − | 1.01299i | ||||
\(790\) | 8.93684 | − | 2.37458i | 0.317959 | − | 0.0844838i | ||||
\(791\) | −26.3525 | + | 26.3525i | −0.936989 | + | 0.936989i | ||||
\(792\) | 13.0737 | − | 0.492401i | 0.464553 | − | 0.0174967i | ||||
\(793\) | 0.946326 | + | 0.946326i | 0.0336050 | + | 0.0336050i | ||||
\(794\) | −46.2154 | − | 26.8116i | −1.64012 | − | 0.951508i | ||||
\(795\) | −54.9449 | + | 1.20692i | −1.94870 | + | 0.0428052i | ||||
\(796\) | −17.4816 | − | 30.5739i | −0.619619 | − | 1.08366i | ||||
\(797\) | 9.64229 | + | 23.2785i | 0.341547 | + | 0.824568i | 0.997560 | + | 0.0698182i | \(0.0222419\pi\) |
−0.656012 | + | 0.754750i | \(0.727758\pi\) | |||||||
\(798\) | −25.6804 | + | 46.5939i | −0.909077 | + | 1.64940i | ||||
\(799\) | − | 9.55151i | − | 0.337908i | ||||||
\(800\) | −2.71164 | − | 2.12617i | −0.0958711 | − | 0.0751716i | ||||
\(801\) | 12.9649 | + | 11.8732i | 0.458093 | + | 0.419519i | ||||
\(802\) | 35.6450 | − | 27.2330i | 1.25867 | − | 0.961630i | ||||
\(803\) | −5.50005 | + | 2.27819i | −0.194092 | + | 0.0803957i | ||||
\(804\) | −3.87013 | − | 2.86181i | −0.136489 | − | 0.100928i | ||||
\(805\) | 6.49052 | − | 15.6695i | 0.228761 | − | 0.552277i | ||||
\(806\) | 0.700307 | − | 1.20713i | 0.0246673 | − | 0.0425192i | ||||
\(807\) | 24.0230 | + | 9.33801i | 0.845651 | + | 0.328713i | ||||
\(808\) | −0.203196 | + | 32.3591i | −0.00714842 | + | 1.13839i | ||||
\(809\) | 24.9240 | + | 24.9240i | 0.876282 | + | 0.876282i | 0.993148 | − | 0.116866i | \(-0.0372847\pi\) |
−0.116866 | + | 0.993148i | \(0.537285\pi\) | |||||||
\(810\) | 28.3419 | − | 10.2672i | 0.995834 | − | 0.360753i | ||||
\(811\) | 6.09225 | − | 14.7080i | 0.213928 | − | 0.516467i | −0.780092 | − | 0.625664i | \(-0.784828\pi\) |
0.994020 | + | 0.109197i | \(0.0348280\pi\) | |||||||
\(812\) | −18.4957 | + | 23.8963i | −0.649073 | + | 0.838596i | ||||
\(813\) | 8.85073 | + | 8.47026i | 0.310409 | + | 0.297065i | ||||
\(814\) | 1.90683 | − | 14.2532i | 0.0668344 | − | 0.499575i | ||||
\(815\) | 7.12017i | 0.249409i | ||||||||
\(816\) | 11.6244 | + | 41.1383i | 0.406936 | + | 1.44013i | ||||
\(817\) | − | 32.6330i | − | 1.14168i | ||||||
\(818\) | −35.3467 | − | 4.72877i | −1.23587 | − | 0.165338i | ||||
\(819\) | −0.808327 | + | 2.22288i | −0.0282452 | + | 0.0776737i | ||||
\(820\) | 5.00797 | − | 0.637995i | 0.174886 | − | 0.0222798i | ||||
\(821\) | 9.49765 | − | 22.9294i | 0.331470 | − | 0.800240i | −0.667006 | − | 0.745053i | \(-0.732424\pi\) |
0.998476 | − | 0.0551876i | \(-0.0175757\pi\) | |||||||
\(822\) | −16.3197 | − | 20.4152i | −0.569214 | − | 0.712062i | ||||
\(823\) | 27.2557 | + | 27.2557i | 0.950072 | + | 0.950072i | 0.998812 | − | 0.0487391i | \(-0.0155203\pi\) |
−0.0487391 | + | 0.998812i | \(0.515520\pi\) | |||||||
\(824\) | 38.6360 | + | 16.2885i | 1.34595 | + | 0.567438i | ||||
\(825\) | −0.589369 | + | 1.51621i | −0.0205192 | + | 0.0527878i | ||||
\(826\) | −26.9734 | − | 15.6485i | −0.938525 | − | 0.544480i | ||||
\(827\) | −20.6867 | + | 49.9420i | −0.719345 | + | 1.73665i | −0.0441379 | + | 0.999025i | \(0.514054\pi\) |
−0.675207 | + | 0.737628i | \(0.735946\pi\) | |||||||
\(828\) | 13.2932 | − | 8.39613i | 0.461972 | − | 0.291786i | ||||
\(829\) | −0.359915 | + | 0.149082i | −0.0125004 | + | 0.00517782i | −0.388925 | − | 0.921269i | \(-0.627153\pi\) |
0.376424 | + | 0.926447i | \(0.377153\pi\) | |||||||
\(830\) | −13.4503 | − | 17.6049i | −0.466866 | − | 0.611076i | ||||
\(831\) | −0.856489 | − | 1.94575i | −0.0297113 | − | 0.0674973i | ||||
\(832\) | 2.12107 | + | 0.909948i | 0.0735348 | + | 0.0315468i | ||||
\(833\) | 2.89014i | 0.100137i | ||||||||
\(834\) | 1.27428 | − | 2.31201i | 0.0441246 | − | 0.0800585i | ||||
\(835\) | 2.39473 | + | 5.78138i | 0.0828730 | + | 0.200073i | ||||
\(836\) | 6.44220 | − | 23.6462i | 0.222808 | − | 0.817822i | ||||
\(837\) | −13.3677 | − | 11.7128i | −0.462057 | − | 0.404855i | ||||
\(838\) | −1.61810 | + | 2.78913i | −0.0558963 | + | 0.0963490i | ||||
\(839\) | −27.7697 | − | 27.7697i | −0.958717 | − | 0.958717i | 0.0404644 | − | 0.999181i | \(-0.487116\pi\) |
−0.999181 | + | 0.0404644i | \(0.987116\pi\) | |||||||
\(840\) | −0.497261 | − | 31.7040i | −0.0171571 | − | 1.09389i | ||||
\(841\) | −1.10756 | + | 1.10756i | −0.0381918 | + | 0.0381918i | ||||
\(842\) | 0.161296 | + | 0.607044i | 0.00555862 | + | 0.0209201i | ||||
\(843\) | −29.4386 | + | 0.646651i | −1.01392 | + | 0.0222718i | ||||
\(844\) | 0.319673 | + | 2.50928i | 0.0110036 | + | 0.0863730i | ||||
\(845\) | −28.2629 | + | 11.7069i | −0.972275 | + | 0.402729i | ||||
\(846\) | −5.03861 | + | 4.21245i | −0.173231 | + | 0.144827i | ||||
\(847\) | 23.5645 | 0.809686 | ||||||||
\(848\) | −42.7874 | + | 32.2664i | −1.46933 | + | 1.10803i | ||||
\(849\) | 9.67982 | + | 21.9904i | 0.332211 | + | 0.754707i | ||||
\(850\) | −5.26849 | − | 0.704832i | −0.180708 | − | 0.0241755i | ||||
\(851\) | −6.61346 | − | 15.9663i | −0.226706 | − | 0.547317i | ||||
\(852\) | 41.4791 | + | 10.3277i | 1.42105 | + | 0.353820i | ||||
\(853\) | 20.4516 | + | 8.47133i | 0.700250 | + | 0.290053i | 0.704263 | − | 0.709939i | \(-0.251278\pi\) |
−0.00401354 | + | 0.999992i | \(0.501278\pi\) | |||||||
\(854\) | −4.60389 | − | 17.3269i | −0.157542 | − | 0.592916i | ||||
\(855\) | −2.47960 | − | 56.4145i | −0.0848007 | − | 1.92933i | ||||
\(856\) | −0.180623 | + | 28.7643i | −0.00617356 | + | 0.983144i | ||||
\(857\) | 13.1734 | − | 13.1734i | 0.449996 | − | 0.449996i | −0.445357 | − | 0.895353i | \(-0.646923\pi\) |
0.895353 | + | 0.445357i | \(0.146923\pi\) | |||||||
\(858\) | 0.120729 | − | 1.08288i | 0.00412163 | − | 0.0369690i | ||||
\(859\) | −7.55122 | − | 3.12782i | −0.257644 | − | 0.106720i | 0.250123 | − | 0.968214i | \(-0.419529\pi\) |
−0.507767 | + | 0.861494i | \(0.669529\pi\) | |||||||
\(860\) | 9.65384 | + | 16.8838i | 0.329193 | + | 0.575732i | ||||
\(861\) | 3.64477 | + | 3.48809i | 0.124214 | + | 0.118874i | ||||
\(862\) | 2.53579 | + | 3.31907i | 0.0863695 | + | 0.113048i | ||||
\(863\) | −19.3590 | −0.658989 | −0.329494 | − | 0.944158i | \(-0.606878\pi\) | ||||
−0.329494 | + | 0.944158i | \(0.606878\pi\) | |||||||
\(864\) | 16.5746 | − | 24.2751i | 0.563880 | − | 0.825857i | ||||
\(865\) | 24.5889 | 0.836049 | ||||||||
\(866\) | 26.9137 | + | 35.2270i | 0.914564 | + | 1.19706i | ||||
\(867\) | 26.3692 | + | 25.2357i | 0.895547 | + | 0.857049i | ||||
\(868\) | −16.2294 | + | 9.27969i | −0.550862 | + | 0.314973i | ||||
\(869\) | −3.93268 | − | 1.62897i | −0.133407 | − | 0.0552591i | ||||
\(870\) | 3.55381 | − | 31.8759i | 0.120485 | − | 1.08070i | ||||
\(871\) | −0.283457 | + | 0.283457i | −0.00960456 | + | 0.00960456i | ||||
\(872\) | 15.8078 | − | 15.6105i | 0.535320 | − | 0.528639i | ||||
\(873\) | −1.36549 | − | 31.0667i | −0.0462147 | − | 1.05145i | ||||
\(874\) | −7.56349 | − | 28.4655i | −0.255839 | − | 0.962861i | ||||
\(875\) | −26.2559 | − | 10.8755i | −0.887611 | − | 0.367661i | ||||
\(876\) | −3.23158 | + | 12.9790i | −0.109185 | + | 0.438520i | ||||
\(877\) | −6.24223 | − | 15.0701i | −0.210785 | − | 0.508880i | 0.782759 | − | 0.622325i | \(-0.213812\pi\) |
−0.993544 | + | 0.113444i | \(0.963812\pi\) | |||||||
\(878\) | −14.7564 | − | 1.97414i | −0.498003 | − | 0.0666241i | ||||
\(879\) | 18.6871 | + | 42.4528i | 0.630299 | + | 1.43190i | ||||
\(880\) | 3.66219 | + | 14.1400i | 0.123453 | + | 0.476659i | ||||
\(881\) | −36.6844 | −1.23593 | −0.617964 | − | 0.786207i | \(-0.712042\pi\) | ||||
−0.617964 | + | 0.786207i | \(0.712042\pi\) | |||||||
\(882\) | 1.52460 | − | 1.27462i | 0.0513361 | − | 0.0429188i | ||||
\(883\) | 11.4178 | − | 4.72942i | 0.384240 | − | 0.159158i | −0.182198 | − | 0.983262i | \(-0.558321\pi\) |
0.566438 | + | 0.824104i | \(0.308321\pi\) | |||||||
\(884\) | 3.53175 | − | 0.449931i | 0.118786 | − | 0.0151328i | ||||
\(885\) | 33.0908 | − | 0.726874i | 1.11233 | − | 0.0244336i | ||||
\(886\) | −3.32169 | − | 12.5013i | −0.111594 | − | 0.419990i | ||||
\(887\) | −34.3135 | + | 34.3135i | −1.15213 | + | 1.15213i | −0.166009 | + | 0.986124i | \(0.553088\pi\) |
−0.986124 | + | 0.166009i | \(0.946912\pi\) | |||||||
\(888\) | −23.2010 | − | 22.4845i | −0.778575 | − | 0.754529i | ||||
\(889\) | 14.9838 | + | 14.9838i | 0.502540 | + | 0.502540i | ||||
\(890\) | −9.84931 | + | 16.9773i | −0.330150 | + | 0.569082i | ||||
\(891\) | −13.2367 | − | 4.16503i | −0.443447 | − | 0.139534i | ||||
\(892\) | 20.2706 | + | 5.52256i | 0.678711 | + | 0.184909i | ||||
\(893\) | 4.70809 | + | 11.3663i | 0.157550 | + | 0.380360i | ||||
\(894\) | −1.41796 | + | 2.57270i | −0.0474236 | + | 0.0860441i | ||||
\(895\) | − | 0.0329316i | − | 0.00110078i | ||||||
\(896\) | −18.4606 | − | 24.8024i | −0.616725 | − | 0.828591i | ||||
\(897\) | −0.527550 | − | 1.19847i | −0.0176144 | − | 0.0400159i | ||||
\(898\) | 20.6829 | + | 27.0717i | 0.690199 | + | 0.903393i | ||||
\(899\) | −17.4711 | + | 7.23678i | −0.582695 | + | 0.241360i | ||||
\(900\) | 1.95172 | + | 3.09008i | 0.0650574 | + | 0.103003i | ||||
\(901\) | −31.6352 | + | 76.3741i | −1.05392 | + | 2.54439i | ||||
\(902\) | −2.01019 | − | 1.16620i | −0.0669322 | − | 0.0388303i | ||||
\(903\) | −7.04144 | + | 18.1149i | −0.234324 | + | 0.602825i | ||||
\(904\) | −14.5367 | − | 35.7276i | −0.483483 | − | 1.18828i | ||||
\(905\) | 17.1330 | + | 17.1330i | 0.569519 | + | 0.569519i | ||||
\(906\) | 21.2162 | + | 26.5405i | 0.704860 | + | 0.881749i | ||||
\(907\) | 5.32554 | − | 12.8570i | 0.176832 | − | 0.426910i | −0.810467 | − | 0.585784i | \(-0.800787\pi\) |
0.987299 | + | 0.158875i | \(0.0507866\pi\) | |||||||
\(908\) | −4.59244 | − | 36.0486i | −0.152406 | − | 1.19631i | ||||
\(909\) | 11.7297 | − | 32.2562i | 0.389048 | − | 1.06987i | ||||
\(910\) | −2.61742 | − | 0.350165i | −0.0867667 | − | 0.0116079i | ||||
\(911\) | 10.5385i | 0.349157i | 0.984643 | + | 0.174579i | \(0.0558563\pi\) | ||||
−0.984643 | + | 0.174579i | \(0.944144\pi\) | |||||||
\(912\) | −34.1109 | − | 43.2249i | −1.12952 | − | 1.43132i | ||||
\(913\) | 10.1988i | 0.337530i | ||||||||
\(914\) | −3.68119 | + | 27.5162i | −0.121763 | + | 0.910156i | ||||
\(915\) | 13.7478 | + | 13.1568i | 0.454488 | + | 0.434950i | ||||
\(916\) | −24.2869 | − | 18.7980i | −0.802461 | − | 0.621104i | ||||
\(917\) | 1.32195 | − | 3.19147i | 0.0436546 | − | 0.105392i | ||||
\(918\) | 3.04042 | − | 45.2403i | 0.100349 | − | 1.49315i | ||||
\(919\) | 11.9849 | + | 11.9849i | 0.395346 | + | 0.395346i | 0.876588 | − | 0.481242i | \(-0.159814\pi\) |
−0.481242 | + | 0.876588i | \(0.659814\pi\) | |||||||
\(920\) | 12.3342 | + | 12.4901i | 0.406647 | + | 0.411786i | ||||
\(921\) | −1.16092 | − | 0.451262i | −0.0382536 | − | 0.0148696i | ||||
\(922\) | −20.3066 | + | 35.0027i | −0.668763 | + | 1.15275i | ||||
\(923\) | 1.36235 | − | 3.28900i | 0.0448423 | − | 0.108259i | ||||
\(924\) | −8.67843 | + | 11.7362i | −0.285499 | + | 0.386091i | ||||
\(925\) | 3.71144 | − | 1.53733i | 0.122032 | − | 0.0505471i | ||||
\(926\) | 40.1814 | − | 30.6988i | 1.32044 | − | 1.00883i | ||||
\(927\) | −32.7974 | − | 30.0357i | −1.07721 | − | 0.986502i | ||||
\(928\) | −15.3532 | − | 27.2471i | −0.503992 | − | 0.894429i | ||||
\(929\) | − | 0.514845i | − | 0.0168915i | −0.999964 | − | 0.00844575i | \(-0.997312\pi\) | ||
0.999964 | − | 0.00844575i | \(-0.00268840\pi\) | |||||||
\(930\) | 9.57813 | − | 17.3783i | 0.314079 | − | 0.569857i | ||||
\(931\) | −1.42460 | − | 3.43928i | −0.0466892 | − | 0.112718i | ||||
\(932\) | 6.23848 | − | 3.56705i | 0.204348 | − | 0.116843i | ||||
\(933\) | 8.83166 | − | 0.193997i | 0.289136 | − | 0.00635117i | ||||
\(934\) | 5.90959 | + | 3.42842i | 0.193368 | + | 0.112181i | ||||
\(935\) | 15.9323 | + | 15.9323i | 0.521043 | + | 0.521043i | ||||
\(936\) | −1.79494 | − | 1.66464i | −0.0586693 | − | 0.0544103i | ||||
\(937\) | −15.6989 | + | 15.6989i | −0.512862 | + | 0.512862i | −0.915402 | − | 0.402540i | \(-0.868127\pi\) |
0.402540 | + | 0.915402i | \(0.368127\pi\) | |||||||
\(938\) | 5.19000 | − | 1.37902i | 0.169460 | − | 0.0450266i | ||||
\(939\) | 1.24924 | + | 56.8715i | 0.0407675 | + | 1.85593i | ||||
\(940\) | −5.79841 | − | 4.48797i | −0.189123 | − | 0.146381i | ||||
\(941\) | 8.26022 | − | 3.42149i | 0.269275 | − | 0.111538i | −0.243960 | − | 0.969785i | \(-0.578447\pi\) |
0.513236 | + | 0.858248i | \(0.328447\pi\) | |||||||
\(942\) | 21.0930 | − | 6.10352i | 0.687247 | − | 0.198863i | ||||
\(943\) | −2.79291 | −0.0909497 | ||||||||
\(944\) | 25.7689 | − | 19.4326i | 0.838705 | − | 0.632476i | ||||
\(945\) | −10.7965 | + | 31.8512i | −0.351210 | + | 1.03612i | ||||
\(946\) | 1.18718 | − | 8.87398i | 0.0385986 | − | 0.288518i | ||||
\(947\) | −1.67384 | − | 4.04101i | −0.0543926 | − | 0.131315i | 0.894347 | − | 0.447373i | \(-0.147641\pi\) |
−0.948740 | + | 0.316058i | \(0.897641\pi\) | |||||||
\(948\) | −8.19609 | + | 4.92831i | −0.266196 | + | 0.160064i | ||||
\(949\) | 1.02914 | + | 0.426286i | 0.0334074 | + | 0.0138378i | ||||
\(950\) | 6.61696 | − | 1.75817i | 0.214682 | − | 0.0570426i | ||||
\(951\) | −2.32939 | + | 5.99261i | −0.0755357 | + | 0.194324i | ||||
\(952\) | −43.9482 | − | 18.5281i | −1.42437 | − | 0.600499i | ||||
\(953\) | 32.0579 | − | 32.0579i | 1.03846 | − | 1.03846i | 0.0392279 | − | 0.999230i | \(-0.487510\pi\) |
0.999230 | − | 0.0392279i | \(-0.0124898\pi\) | |||||||
\(954\) | 54.2407 | − | 16.9947i | 1.75611 | − | 0.550223i | ||||
\(955\) | −17.0220 | − | 7.05074i | −0.550819 | − | 0.228157i | ||||
\(956\) | 33.9828 | + | 9.25830i | 1.09908 | + | 0.299435i | ||||
\(957\) | −10.2083 | + | 10.6669i | −0.329989 | + | 0.344812i | ||||
\(958\) | 17.8666 | − | 13.6502i | 0.577242 | − | 0.441017i | ||||
\(959\) | 29.1598 | 0.941619 | ||||||||
\(960\) | 30.4357 | + | 12.2729i | 0.982308 | + | 0.396105i | ||||
\(961\) | 19.3005 | 0.622596 | ||||||||
\(962\) | −2.13815 | + | 1.63356i | −0.0689366 | + | 0.0526680i | ||||
\(963\) | 10.4266 | − | 28.6728i | 0.335992 | − | 0.923970i | ||||
\(964\) | −11.9375 | − | 3.25225i | −0.384480 | − | 0.104748i | ||||
\(965\) | 13.6433 | + | 5.65124i | 0.439193 | + | 0.181920i | ||||
\(966\) | −1.94364 | + | 17.4335i | −0.0625356 | + | 0.560914i | ||||
\(967\) | −37.4258 | + | 37.4258i | −1.20353 | + | 1.20353i | −0.230448 | + | 0.973085i | \(0.574019\pi\) |
−0.973085 | + | 0.230448i | \(0.925981\pi\) | |||||||
\(968\) | −9.47448 | + | 22.4732i | −0.304521 | + | 0.722317i | ||||
\(969\) | −79.1684 | − | 30.7736i | −2.54326 | − | 0.988591i | ||||
\(970\) | 33.5539 | − | 8.91551i | 1.07735 | − | 0.286260i | ||||
\(971\) | 33.0754 | + | 13.7003i | 1.06144 | + | 0.439663i | 0.843962 | − | 0.536402i | \(-0.180217\pi\) |
0.217478 | + | 0.976065i | \(0.430217\pi\) | |||||||
\(972\) | −25.2060 | + | 18.3482i | −0.808484 | + | 0.588519i | ||||
\(973\) | 1.12712 | + | 2.72110i | 0.0361337 | + | 0.0872344i | ||||
\(974\) | −2.76561 | + | 20.6725i | −0.0886160 | + | 0.662389i | ||||
\(975\) | 0.278591 | − | 0.122632i | 0.00892206 | − | 0.00392735i | ||||
\(976\) | 18.3756 | + | 2.57588i | 0.588188 | + | 0.0824520i | ||||
\(977\) | −39.7489 | −1.27168 | −0.635839 | − | 0.771821i | \(-0.719346\pi\) | ||||
−0.635839 | + | 0.771821i | \(0.719346\pi\) | |||||||
\(978\) | −2.04691 | − | 7.07387i | −0.0654530 | − | 0.226198i | ||||
\(979\) | 8.34750 | − | 3.45765i | 0.266787 | − | 0.110507i | ||||
\(980\) | 1.75451 | + | 1.35799i | 0.0560457 | + | 0.0433793i | ||||
\(981\) | −21.3535 | + | 9.96489i | −0.681765 | + | 0.318155i | ||||
\(982\) | 0.452899 | − | 0.120339i | 0.0144526 | − | 0.00384016i | ||||
\(983\) | 29.8565 | − | 29.8565i | 0.952276 | − | 0.952276i | −0.0466360 | − | 0.998912i | \(-0.514850\pi\) |
0.998912 | + | 0.0466360i | \(0.0148501\pi\) | |||||||
\(984\) | −4.79199 | + | 2.07354i | −0.152763 | + | 0.0661020i | ||||
\(985\) | −12.5214 | − | 12.5214i | −0.398965 | − | 0.398965i | ||||
\(986\) | −41.7300 | − | 24.2094i | −1.32895 | − | 0.770985i | ||||
\(987\) | −0.160912 | − | 7.32546i | −0.00512187 | − | 0.233172i | ||||
\(988\) | −3.98102 | + | 2.27628i | −0.126653 | + | 0.0724180i | ||||
\(989\) | −4.11750 | − | 9.94053i | −0.130929 | − | 0.316091i | ||||
\(990\) | 1.37806 | − | 15.4312i | 0.0437978 | − | 0.490434i | ||||
\(991\) | 56.2662i | 1.78736i | 0.448710 | + | 0.893678i | \(0.351884\pi\) | ||||
−0.448710 | + | 0.893678i | \(0.648116\pi\) | |||||||
\(992\) | −2.32465 | − | 19.2089i | −0.0738079 | − | 0.609882i | ||||
\(993\) | −13.4667 | + | 5.92782i | −0.427352 | + | 0.188114i | ||||
\(994\) | −37.8958 | + | 28.9527i | −1.20198 | + | 0.918323i | ||||
\(995\) | −38.5309 | + | 15.9600i | −1.22151 | + | 0.505966i | ||||
\(996\) | 18.4239 | + | 13.6238i | 0.583783 | + | 0.431685i | ||||
\(997\) | 13.8797 | − | 33.5085i | 0.439574 | − | 1.06122i | −0.536523 | − | 0.843886i | \(-0.680262\pi\) |
0.976096 | − | 0.217339i | \(-0.0697376\pi\) | |||||||
\(998\) | 4.32116 | − | 7.44842i | 0.136784 | − | 0.235776i | ||||
\(999\) | 15.1699 | + | 30.7277i | 0.479956 | + | 0.972181i |
(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 | 96.2.o.a.11.13 | yes | 56 | |
3.2 | odd | 2 | inner | 96.2.o.a.11.2 | ✓ | 56 | |
4.3 | odd | 2 | 384.2.o.a.335.3 | 56 | |||
8.3 | odd | 2 | 768.2.o.a.671.12 | 56 | |||
8.5 | even | 2 | 768.2.o.b.671.3 | 56 | |||
12.11 | even | 2 | 384.2.o.a.335.8 | 56 | |||
24.5 | odd | 2 | 768.2.o.b.671.8 | 56 | |||
24.11 | even | 2 | 768.2.o.a.671.7 | 56 | |||
32.3 | odd | 8 | inner | 96.2.o.a.35.2 | yes | 56 | |
32.13 | even | 8 | 768.2.o.a.95.7 | 56 | |||
32.19 | odd | 8 | 768.2.o.b.95.8 | 56 | |||
32.29 | even | 8 | 384.2.o.a.47.8 | 56 | |||
96.29 | odd | 8 | 384.2.o.a.47.3 | 56 | |||
96.35 | even | 8 | inner | 96.2.o.a.35.13 | yes | 56 | |
96.77 | odd | 8 | 768.2.o.a.95.12 | 56 | |||
96.83 | even | 8 | 768.2.o.b.95.3 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.o.a.11.2 | ✓ | 56 | 3.2 | odd | 2 | inner | |
96.2.o.a.11.13 | yes | 56 | 1.1 | even | 1 | trivial | |
96.2.o.a.35.2 | yes | 56 | 32.3 | odd | 8 | inner | |
96.2.o.a.35.13 | yes | 56 | 96.35 | even | 8 | inner | |
384.2.o.a.47.3 | 56 | 96.29 | odd | 8 | |||
384.2.o.a.47.8 | 56 | 32.29 | even | 8 | |||
384.2.o.a.335.3 | 56 | 4.3 | odd | 2 | |||
384.2.o.a.335.8 | 56 | 12.11 | even | 2 | |||
768.2.o.a.95.7 | 56 | 32.13 | even | 8 | |||
768.2.o.a.95.12 | 56 | 96.77 | odd | 8 | |||
768.2.o.a.671.7 | 56 | 24.11 | even | 2 | |||
768.2.o.a.671.12 | 56 | 8.3 | odd | 2 | |||
768.2.o.b.95.3 | 56 | 96.83 | even | 8 | |||
768.2.o.b.95.8 | 56 | 32.19 | odd | 8 | |||
768.2.o.b.671.3 | 56 | 8.5 | even | 2 | |||
768.2.o.b.671.8 | 56 | 24.5 | odd | 2 |