Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 17.14 | ||
Character | \(\chi\) | \(=\) | 175.17 |
Dual form | 175.2.x.a.103.14 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{13}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.58403 | − | 0.0830157i | 1.12008 | − | 0.0587010i | 0.516709 | − | 0.856161i | \(-0.327157\pi\) |
0.603372 | + | 0.797460i | \(0.293823\pi\) | |||||||
\(3\) | 1.23343 | − | 1.52315i | 0.712119 | − | 0.879393i | −0.284739 | − | 0.958605i | \(-0.591907\pi\) |
0.996858 | + | 0.0792117i | \(0.0252403\pi\) | |||||||
\(4\) | 0.513230 | − | 0.0539426i | 0.256615 | − | 0.0269713i | ||||
\(5\) | −0.221909 | + | 2.22503i | −0.0992405 | + | 0.995063i | ||||
\(6\) | 1.82734 | − | 2.51512i | 0.746010 | − | 1.02679i | ||||
\(7\) | 1.63042 | − | 2.08368i | 0.616242 | − | 0.787557i | ||||
\(8\) | −2.32486 | + | 0.368222i | −0.821963 | + | 0.130186i | ||||
\(9\) | −0.174924 | − | 0.822951i | −0.0583079 | − | 0.274317i | ||||
\(10\) | −0.166798 | + | 3.54295i | −0.0527463 | + | 1.12038i | ||||
\(11\) | −2.03775 | − | 0.433137i | −0.614405 | − | 0.130596i | −0.109811 | − | 0.993953i | \(-0.535025\pi\) |
−0.504594 | + | 0.863357i | \(0.668358\pi\) | |||||||
\(12\) | 0.550868 | − | 0.848262i | 0.159022 | − | 0.244872i | ||||
\(13\) | −1.94768 | + | 0.992394i | −0.540190 | + | 0.275241i | −0.702724 | − | 0.711462i | \(-0.748033\pi\) |
0.162534 | + | 0.986703i | \(0.448033\pi\) | |||||||
\(14\) | 2.40967 | − | 3.43597i | 0.644011 | − | 0.918302i | ||||
\(15\) | 3.11535 | + | 3.08241i | 0.804381 | + | 0.795875i | ||||
\(16\) | −4.66165 | + | 0.990865i | −1.16541 | + | 0.247716i | ||||
\(17\) | 1.81551 | − | 4.72957i | 0.440326 | − | 1.14709i | −0.516464 | − | 0.856309i | \(-0.672752\pi\) |
0.956790 | − | 0.290780i | \(-0.0939147\pi\) | |||||||
\(18\) | −0.345403 | − | 1.28906i | −0.0814123 | − | 0.303835i | ||||
\(19\) | −0.785987 | + | 7.47816i | −0.180318 | + | 1.71561i | 0.413076 | + | 0.910696i | \(0.364454\pi\) |
−0.593394 | + | 0.804912i | \(0.702212\pi\) | |||||||
\(20\) | 0.00613384 | + | 1.15392i | 0.00137157 | + | 0.258025i | ||||
\(21\) | −1.16276 | − | 5.05345i | −0.253735 | − | 1.10275i | ||||
\(22\) | −3.26382 | − | 0.516939i | −0.695850 | − | 0.110212i | ||||
\(23\) | −0.105109 | − | 2.00560i | −0.0219167 | − | 0.418196i | −0.987452 | − | 0.157922i | \(-0.949520\pi\) |
0.965535 | − | 0.260274i | \(-0.0838129\pi\) | |||||||
\(24\) | −2.30669 | + | 3.99530i | −0.470851 | + | 0.815537i | ||||
\(25\) | −4.90151 | − | 0.987506i | −0.980303 | − | 0.197501i | ||||
\(26\) | −3.00281 | + | 1.73368i | −0.588900 | + | 0.340002i | ||||
\(27\) | 3.76970 | + | 1.92076i | 0.725479 | + | 0.369650i | ||||
\(28\) | 0.724382 | − | 1.15736i | 0.136895 | − | 0.218720i | ||||
\(29\) | −4.12547 | − | 5.67823i | −0.766081 | − | 1.05442i | −0.996684 | − | 0.0813721i | \(-0.974070\pi\) |
0.230603 | − | 0.973048i | \(-0.425930\pi\) | |||||||
\(30\) | 5.19072 | + | 4.62402i | 0.947691 | + | 0.844227i | ||||
\(31\) | 2.58369 | + | 5.80306i | 0.464045 | + | 1.04226i | 0.982348 | + | 0.187064i | \(0.0598972\pi\) |
−0.518303 | + | 0.855197i | \(0.673436\pi\) | |||||||
\(32\) | −2.75469 | + | 0.738117i | −0.486965 | + | 0.130482i | ||||
\(33\) | −3.17315 | + | 2.56957i | −0.552374 | + | 0.447304i | ||||
\(34\) | 2.48320 | − | 7.64252i | 0.425866 | − | 1.31068i | ||||
\(35\) | 4.27444 | + | 4.09013i | 0.722513 | + | 0.691357i | ||||
\(36\) | −0.134168 | − | 0.412927i | −0.0223614 | − | 0.0688212i | ||||
\(37\) | 2.22067 | + | 1.44212i | 0.365076 | + | 0.237083i | 0.714120 | − | 0.700023i | \(-0.246827\pi\) |
−0.349044 | + | 0.937106i | \(0.613494\pi\) | |||||||
\(38\) | −0.624225 | + | 11.9109i | −0.101263 | + | 1.93221i | ||||
\(39\) | −0.890754 | + | 4.19067i | −0.142635 | + | 0.671044i | ||||
\(40\) | −0.303398 | − | 5.25460i | −0.0479715 | − | 0.830825i | ||||
\(41\) | 8.47974 | + | 2.75523i | 1.32431 | + | 0.430295i | 0.883974 | − | 0.467536i | \(-0.154858\pi\) |
0.440339 | + | 0.897832i | \(0.354858\pi\) | |||||||
\(42\) | −2.26137 | − | 7.90831i | −0.348936 | − | 1.22028i | ||||
\(43\) | 0.986332 | − | 0.986332i | 0.150414 | − | 0.150414i | −0.627889 | − | 0.778303i | \(-0.716081\pi\) |
0.778303 | + | 0.627889i | \(0.216081\pi\) | |||||||
\(44\) | −1.06920 | − | 0.112377i | −0.161188 | − | 0.0169415i | ||||
\(45\) | 1.86991 | − | 0.206590i | 0.278749 | − | 0.0307967i | ||||
\(46\) | −0.332993 | − | 3.16821i | −0.0490971 | − | 0.467128i | ||||
\(47\) | 2.45276 | − | 0.941527i | 0.357772 | − | 0.137336i | −0.172842 | − | 0.984950i | \(-0.555295\pi\) |
0.530614 | + | 0.847614i | \(0.321962\pi\) | |||||||
\(48\) | −4.24056 | + | 8.32258i | −0.612073 | + | 1.20126i | ||||
\(49\) | −1.68344 | − | 6.79456i | −0.240492 | − | 0.970651i | ||||
\(50\) | −7.84614 | − | 1.15734i | −1.10961 | − | 0.163673i | ||||
\(51\) | −4.96456 | − | 8.59887i | −0.695178 | − | 1.20408i | ||||
\(52\) | −0.946077 | + | 0.614389i | −0.131197 | + | 0.0852005i | ||||
\(53\) | −7.17828 | − | 5.81286i | −0.986013 | − | 0.798458i | −0.00652896 | − | 0.999979i | \(-0.502078\pi\) |
−0.979484 | + | 0.201521i | \(0.935412\pi\) | |||||||
\(54\) | 6.13079 | + | 2.72960i | 0.834295 | + | 0.371452i | ||||
\(55\) | 1.41594 | − | 4.43794i | 0.190925 | − | 0.598412i | ||||
\(56\) | −3.02325 | + | 5.44463i | −0.403999 | + | 0.727569i | ||||
\(57\) | 10.4209 | + | 10.4209i | 1.38029 | + | 1.38029i | ||||
\(58\) | −7.00627 | − | 8.65203i | −0.919969 | − | 1.13607i | ||||
\(59\) | −7.04085 | − | 7.81965i | −0.916640 | − | 1.01803i | −0.999769 | − | 0.0214933i | \(-0.993158\pi\) |
0.0831288 | − | 0.996539i | \(-0.473509\pi\) | |||||||
\(60\) | 1.76517 | + | 1.41393i | 0.227882 | + | 0.182538i | ||||
\(61\) | −6.37468 | − | 5.73979i | −0.816194 | − | 0.734904i | 0.151112 | − | 0.988517i | \(-0.451715\pi\) |
−0.967306 | + | 0.253612i | \(0.918381\pi\) | |||||||
\(62\) | 4.57440 | + | 8.97777i | 0.580949 | + | 1.14018i | ||||
\(63\) | −1.99997 | − | 0.977274i | −0.251972 | − | 0.123125i | ||||
\(64\) | 4.76284 | − | 1.54754i | 0.595355 | − | 0.193443i | ||||
\(65\) | −1.77590 | − | 4.55387i | −0.220273 | − | 0.564839i | ||||
\(66\) | −4.81306 | + | 4.33370i | −0.592447 | + | 0.533442i | ||||
\(67\) | 3.06559 | + | 1.17677i | 0.374521 | + | 0.143765i | 0.538345 | − | 0.842724i | \(-0.319050\pi\) |
−0.163824 | + | 0.986490i | \(0.552383\pi\) | |||||||
\(68\) | 0.676649 | − | 2.52529i | 0.0820558 | − | 0.306236i | ||||
\(69\) | −3.18448 | − | 2.31366i | −0.383366 | − | 0.278532i | ||||
\(70\) | 7.11041 | + | 6.12405i | 0.849857 | + | 0.731964i | ||||
\(71\) | 5.41526 | − | 3.93442i | 0.642673 | − | 0.466930i | −0.218094 | − | 0.975928i | \(-0.569984\pi\) |
0.860768 | + | 0.508998i | \(0.169984\pi\) | |||||||
\(72\) | 0.709703 | + | 1.84884i | 0.0836393 | + | 0.217888i | ||||
\(73\) | 4.51023 | + | 6.94515i | 0.527883 | + | 0.812868i | 0.997549 | − | 0.0699760i | \(-0.0222923\pi\) |
−0.469666 | + | 0.882844i | \(0.655626\pi\) | |||||||
\(74\) | 3.63734 | + | 2.10002i | 0.422832 | + | 0.244122i | ||||
\(75\) | −7.54978 | + | 6.24774i | −0.871773 | + | 0.721427i | ||||
\(76\) | 3.88041i | 0.445114i | ||||||||
\(77\) | −4.22492 | + | 3.53982i | −0.481474 | + | 0.403400i | ||||
\(78\) | −1.06309 | + | 6.71211i | −0.120372 | + | 0.759996i | ||||
\(79\) | 1.08662 | − | 2.44058i | 0.122254 | − | 0.274586i | −0.842043 | − | 0.539410i | \(-0.818647\pi\) |
0.964297 | + | 0.264824i | \(0.0853138\pi\) | |||||||
\(80\) | −1.17024 | − | 10.5922i | −0.130837 | − | 1.18424i | ||||
\(81\) | 9.88106 | − | 4.39933i | 1.09790 | − | 0.488814i | ||||
\(82\) | 13.6609 | + | 3.66043i | 1.50860 | + | 0.404227i | ||||
\(83\) | 0.456772 | + | 2.88395i | 0.0501373 | + | 0.316554i | 0.999993 | + | 0.00386431i | \(0.00123005\pi\) |
−0.949855 | + | 0.312690i | \(0.898770\pi\) | |||||||
\(84\) | −0.869359 | − | 2.53086i | −0.0948548 | − | 0.276139i | ||||
\(85\) | 10.1206 | + | 5.08910i | 1.09773 | + | 0.551990i | ||||
\(86\) | 1.48050 | − | 1.64427i | 0.159647 | − | 0.177306i | ||||
\(87\) | −13.7373 | − | 0.719940i | −1.47279 | − | 0.0771857i | ||||
\(88\) | 4.89698 | + | 0.256640i | 0.522020 | + | 0.0273579i | ||||
\(89\) | 8.47306 | − | 9.41028i | 0.898142 | − | 0.997488i | −0.101854 | − | 0.994799i | \(-0.532477\pi\) |
0.999996 | − | 0.00268884i | \(-0.000855885\pi\) | |||||||
\(90\) | 2.94485 | − | 0.482478i | 0.310414 | − | 0.0508577i | ||||
\(91\) | −1.10772 | + | 5.67637i | −0.116120 | + | 0.595045i | ||||
\(92\) | −0.162132 | − | 1.02366i | −0.0169035 | − | 0.106724i | ||||
\(93\) | 12.0258 | + | 3.22229i | 1.24701 | + | 0.334136i | ||||
\(94\) | 3.80710 | − | 1.69503i | 0.392672 | − | 0.174829i | ||||
\(95\) | −16.4647 | − | 3.40831i | −1.68924 | − | 0.349685i | ||||
\(96\) | −2.27344 | + | 5.10623i | −0.232032 | + | 0.521152i | ||||
\(97\) | 0.527619 | − | 3.33125i | 0.0535716 | − | 0.338237i | −0.946316 | − | 0.323243i | \(-0.895227\pi\) |
0.999888 | − | 0.0149946i | \(-0.00477310\pi\) | |||||||
\(98\) | −3.23068 | − | 10.6231i | −0.326348 | − | 1.07309i | ||||
\(99\) | 1.75274i | 0.176157i | ||||||||
\(100\) | −2.56887 | − | 0.242417i | −0.256887 | − | 0.0242417i | ||||
\(101\) | −2.45915 | − | 1.41979i | −0.244695 | − | 0.141275i | 0.372638 | − | 0.927977i | \(-0.378453\pi\) |
−0.617333 | + | 0.786702i | \(0.711787\pi\) | |||||||
\(102\) | −8.57788 | − | 13.2088i | −0.849337 | − | 1.30786i | ||||
\(103\) | 2.61554 | + | 6.81372i | 0.257717 | + | 0.671375i | 0.999999 | + | 0.00128815i | \(0.000410031\pi\) |
−0.742282 | + | 0.670087i | \(0.766257\pi\) | |||||||
\(104\) | 4.16268 | − | 3.02436i | 0.408184 | − | 0.296563i | ||||
\(105\) | 11.5021 | − | 1.46577i | 1.12249 | − | 0.143044i | ||||
\(106\) | −11.8532 | − | 8.61186i | −1.15129 | − | 0.836458i | ||||
\(107\) | −3.00110 | + | 11.2003i | −0.290127 | + | 1.08277i | 0.654883 | + | 0.755730i | \(0.272718\pi\) |
−0.945011 | + | 0.327040i | \(0.893949\pi\) | |||||||
\(108\) | 2.03833 | + | 0.782443i | 0.196139 | + | 0.0752906i | ||||
\(109\) | −7.26460 | + | 6.54107i | −0.695822 | + | 0.626521i | −0.939184 | − | 0.343415i | \(-0.888416\pi\) |
0.243362 | + | 0.969936i | \(0.421750\pi\) | |||||||
\(110\) | 1.87448 | − | 7.14739i | 0.178724 | − | 0.681477i | ||||
\(111\) | 4.93560 | − | 1.60367i | 0.468467 | − | 0.152214i | ||||
\(112\) | −5.53582 | + | 11.3289i | −0.523086 | + | 1.07048i | ||||
\(113\) | 4.16132 | + | 8.16704i | 0.391464 | + | 0.768291i | 0.999675 | − | 0.0254843i | \(-0.00811278\pi\) |
−0.608212 | + | 0.793775i | \(0.708113\pi\) | |||||||
\(114\) | 17.3722 | + | 15.6420i | 1.62706 | + | 1.46501i | ||||
\(115\) | 4.48584 | + | 0.211189i | 0.418307 | + | 0.0196935i | ||||
\(116\) | −2.42361 | − | 2.69170i | −0.225027 | − | 0.249918i | ||||
\(117\) | 1.15739 | + | 1.42926i | 0.107001 | + | 0.132135i | ||||
\(118\) | −11.8021 | − | 11.8021i | −1.08647 | − | 1.08647i | ||||
\(119\) | −6.89485 | − | 11.4941i | −0.632050 | − | 1.05367i | ||||
\(120\) | −8.37779 | − | 6.01904i | −0.764784 | − | 0.549460i | ||||
\(121\) | −6.08418 | − | 2.70885i | −0.553107 | − | 0.246259i | ||||
\(122\) | −10.5742 | − | 8.56282i | −0.957343 | − | 0.775241i | ||||
\(123\) | 14.6558 | − | 9.51757i | 1.32147 | − | 0.858170i | ||||
\(124\) | 1.63906 | + | 2.83893i | 0.147192 | + | 0.254944i | ||||
\(125\) | 3.28492 | − | 10.6869i | 0.293812 | − | 0.955863i | ||||
\(126\) | −3.24914 | − | 1.38201i | −0.289457 | − | 0.123119i | ||||
\(127\) | 1.11576 | − | 2.18980i | 0.0990074 | − | 0.194313i | −0.836190 | − | 0.548440i | \(-0.815222\pi\) |
0.935197 | + | 0.354127i | \(0.115222\pi\) | |||||||
\(128\) | 12.7409 | − | 4.89078i | 1.12615 | − | 0.432288i | ||||
\(129\) | −0.285768 | − | 2.71890i | −0.0251605 | − | 0.239386i | ||||
\(130\) | −3.19113 | − | 7.06607i | −0.279880 | − | 0.619735i | ||||
\(131\) | 5.54090 | + | 0.582372i | 0.484111 | + | 0.0508821i | 0.343441 | − | 0.939174i | \(-0.388408\pi\) |
0.140670 | + | 0.990056i | \(0.455074\pi\) | |||||||
\(132\) | −1.48995 | + | 1.48995i | −0.129683 | + | 0.129683i | ||||
\(133\) | 14.3006 | + | 13.8303i | 1.24002 | + | 1.19924i | ||||
\(134\) | 4.95369 | + | 1.60955i | 0.427934 | + | 0.139044i | ||||
\(135\) | −5.11027 | + | 7.96147i | −0.439822 | + | 0.685214i | ||||
\(136\) | −2.47928 | + | 11.6641i | −0.212597 | + | 1.00019i | ||||
\(137\) | −0.475298 | + | 9.06922i | −0.0406074 | + | 0.774836i | 0.900114 | + | 0.435655i | \(0.143483\pi\) |
−0.940721 | + | 0.339181i | \(0.889850\pi\) | |||||||
\(138\) | −5.23640 | − | 3.40056i | −0.445752 | − | 0.289475i | ||||
\(139\) | 5.50579 | + | 16.9451i | 0.466995 | + | 1.43726i | 0.856456 | + | 0.516220i | \(0.172661\pi\) |
−0.389461 | + | 0.921043i | \(0.627339\pi\) | |||||||
\(140\) | 2.41440 | + | 1.86860i | 0.204054 | + | 0.157925i | ||||
\(141\) | 1.59121 | − | 4.89724i | 0.134004 | − | 0.412422i | ||||
\(142\) | 8.25134 | − | 6.68181i | 0.692437 | − | 0.560725i | ||||
\(143\) | 4.39874 | − | 1.17864i | 0.367841 | − | 0.0985627i | ||||
\(144\) | 1.63087 | + | 3.66299i | 0.135906 | + | 0.305249i | ||||
\(145\) | 13.5497 | − | 7.91925i | 1.12524 | − | 0.657658i | ||||
\(146\) | 7.72092 | + | 10.6269i | 0.638988 | + | 0.879491i | ||||
\(147\) | −12.4256 | − | 5.81644i | −1.02484 | − | 0.479732i | ||||
\(148\) | 1.21751 | + | 0.620350i | 0.100078 | + | 0.0509925i | ||||
\(149\) | −12.6781 | + | 7.31970i | −1.03863 | + | 0.599653i | −0.919445 | − | 0.393219i | \(-0.871362\pi\) |
−0.119185 | + | 0.992872i | \(0.538028\pi\) | |||||||
\(150\) | −11.4404 | + | 10.5234i | −0.934108 | + | 0.859231i | ||||
\(151\) | −8.05257 | + | 13.9475i | −0.655309 | + | 1.13503i | 0.326508 | + | 0.945195i | \(0.394128\pi\) |
−0.981816 | + | 0.189833i | \(0.939205\pi\) | |||||||
\(152\) | −0.926314 | − | 17.6751i | −0.0751340 | − | 1.43364i | ||||
\(153\) | −4.20978 | − | 0.666764i | −0.340341 | − | 0.0539047i | ||||
\(154\) | −6.39855 | + | 5.95794i | −0.515610 | + | 0.480104i | ||||
\(155\) | −13.4853 | + | 4.46104i | −1.08317 | + | 0.358319i | ||||
\(156\) | −0.231106 | + | 2.19882i | −0.0185033 | + | 0.176047i | ||||
\(157\) | −1.11174 | − | 4.14906i | −0.0887263 | − | 0.331131i | 0.907267 | − | 0.420554i | \(-0.138164\pi\) |
−0.995994 | + | 0.0894230i | \(0.971498\pi\) | |||||||
\(158\) | 1.51863 | − | 3.95616i | 0.120816 | − | 0.314736i | ||||
\(159\) | −17.7078 | + | 3.76390i | −1.40432 | + | 0.298497i | ||||
\(160\) | −1.03104 | − | 6.29306i | −0.0815110 | − | 0.497510i | ||||
\(161\) | −4.35040 | − | 3.05096i | −0.342859 | − | 0.240449i | ||||
\(162\) | 15.2867 | − | 7.78897i | 1.20104 | − | 0.611959i | ||||
\(163\) | 8.30781 | − | 12.7929i | 0.650718 | − | 1.00202i | −0.347217 | − | 0.937785i | \(-0.612873\pi\) |
0.997935 | − | 0.0642326i | \(-0.0204599\pi\) | |||||||
\(164\) | 4.50068 | + | 0.956649i | 0.351444 | + | 0.0747017i | ||||
\(165\) | −5.01321 | − | 7.63056i | −0.390278 | − | 0.594038i | ||||
\(166\) | 0.962956 | + | 4.53035i | 0.0747399 | + | 0.351623i | ||||
\(167\) | −16.7023 | + | 2.64539i | −1.29246 | + | 0.204706i | −0.764535 | − | 0.644583i | \(-0.777031\pi\) |
−0.527929 | + | 0.849289i | \(0.677031\pi\) | |||||||
\(168\) | 4.56405 | + | 11.3204i | 0.352124 | + | 0.873390i | ||||
\(169\) | −4.83258 | + | 6.65148i | −0.371737 | + | 0.511652i | ||||
\(170\) | 16.4538 | + | 7.22114i | 1.26195 | + | 0.553836i | ||||
\(171\) | 6.29165 | − | 0.661279i | 0.481135 | − | 0.0505693i | ||||
\(172\) | 0.453010 | − | 0.559420i | 0.0345417 | − | 0.0426554i | ||||
\(173\) | −18.7199 | + | 0.981067i | −1.42325 | + | 0.0745892i | −0.748340 | − | 0.663315i | \(-0.769149\pi\) |
−0.674906 | + | 0.737904i | \(0.735816\pi\) | |||||||
\(174\) | −21.8201 | −1.65418 | ||||||||
\(175\) | −10.0492 | + | 8.60313i | −0.759647 | + | 0.650335i | ||||
\(176\) | 9.92847 | 0.748387 | ||||||||
\(177\) | −20.5949 | + | 1.07933i | −1.54801 | + | 0.0811276i | ||||
\(178\) | 12.6404 | − | 15.6096i | 0.947439 | − | 1.16999i | ||||
\(179\) | 9.75542 | − | 1.02534i | 0.729155 | − | 0.0766372i | 0.267326 | − | 0.963606i | \(-0.413860\pi\) |
0.461829 | + | 0.886969i | \(0.347193\pi\) | |||||||
\(180\) | 0.948548 | − | 0.206896i | 0.0707006 | − | 0.0154211i | ||||
\(181\) | 0.493376 | − | 0.679074i | 0.0366723 | − | 0.0504751i | −0.790287 | − | 0.612737i | \(-0.790069\pi\) |
0.826959 | + | 0.562262i | \(0.190069\pi\) | |||||||
\(182\) | −1.28343 | + | 9.08353i | −0.0951344 | + | 0.673316i | ||||
\(183\) | −16.6053 | + | 2.63002i | −1.22750 | + | 0.194416i | ||||
\(184\) | 0.982870 | + | 4.62404i | 0.0724582 | + | 0.340889i | ||||
\(185\) | −3.70155 | + | 4.62104i | −0.272143 | + | 0.339745i | ||||
\(186\) | 19.3167 | + | 4.10589i | 1.41637 | + | 0.301059i | ||||
\(187\) | −5.74811 | + | 8.85132i | −0.420344 | + | 0.647272i | ||||
\(188\) | 1.20804 | − | 0.615528i | 0.0881055 | − | 0.0448920i | ||||
\(189\) | 10.1485 | − | 4.72320i | 0.738192 | − | 0.343562i | ||||
\(190\) | −26.3636 | − | 4.03205i | −1.91262 | − | 0.292516i | ||||
\(191\) | 2.66133 | − | 0.565683i | 0.192567 | − | 0.0409314i | −0.110618 | − | 0.993863i | \(-0.535283\pi\) |
0.303185 | + | 0.952932i | \(0.401950\pi\) | |||||||
\(192\) | 3.51747 | − | 9.16332i | 0.253851 | − | 0.661305i | ||||
\(193\) | 1.81427 | + | 6.77095i | 0.130594 | + | 0.487384i | 0.999977 | − | 0.00675479i | \(-0.00215013\pi\) |
−0.869383 | + | 0.494139i | \(0.835483\pi\) | |||||||
\(194\) | 0.559220 | − | 5.32062i | 0.0401496 | − | 0.381998i | ||||
\(195\) | −9.12669 | − | 2.91190i | −0.653576 | − | 0.208525i | ||||
\(196\) | −1.23051 | − | 3.39636i | −0.0878935 | − | 0.242597i | ||||
\(197\) | 14.6392 | + | 2.31863i | 1.04300 | + | 0.165195i | 0.654352 | − | 0.756190i | \(-0.272942\pi\) |
0.388650 | + | 0.921385i | \(0.372942\pi\) | |||||||
\(198\) | 0.145505 | + | 2.77639i | 0.0103406 | + | 0.197310i | ||||
\(199\) | −10.5072 | + | 18.1990i | −0.744835 | + | 1.29009i | 0.205437 | + | 0.978670i | \(0.434138\pi\) |
−0.950272 | + | 0.311422i | \(0.899195\pi\) | |||||||
\(200\) | 11.7590 | + | 0.490971i | 0.831485 | + | 0.0347169i | ||||
\(201\) | 5.57358 | − | 3.21791i | 0.393130 | − | 0.226974i | ||||
\(202\) | −4.01325 | − | 2.04485i | −0.282371 | − | 0.143875i | ||||
\(203\) | −18.5579 | − | 0.661748i | −1.30251 | − | 0.0464456i | ||||
\(204\) | −3.01181 | − | 4.14540i | −0.210869 | − | 0.290236i | ||||
\(205\) | −8.01220 | + | 18.2563i | −0.559597 | + | 1.27507i | ||||
\(206\) | 4.70875 | + | 10.5760i | 0.328074 | + | 0.736867i | ||||
\(207\) | −1.63212 | + | 0.437326i | −0.113440 | + | 0.0303963i | ||||
\(208\) | 8.09610 | − | 6.55609i | 0.561363 | − | 0.454583i | ||||
\(209\) | 4.84072 | − | 14.8982i | 0.334839 | − | 1.03053i | ||||
\(210\) | 18.0980 | − | 3.27668i | 1.24888 | − | 0.226113i | ||||
\(211\) | −7.71478 | − | 23.7437i | −0.531108 | − | 1.63458i | −0.751912 | − | 0.659263i | \(-0.770868\pi\) |
0.220805 | − | 0.975318i | \(-0.429132\pi\) | |||||||
\(212\) | −3.99767 | − | 2.59612i | −0.274561 | − | 0.178302i | ||||
\(213\) | 0.686599 | − | 13.1011i | 0.0470450 | − | 0.897672i | ||||
\(214\) | −3.82405 | + | 17.9907i | −0.261407 | + | 1.22982i | ||||
\(215\) | 1.97574 | + | 2.41349i | 0.134745 | + | 0.164599i | ||||
\(216\) | −9.47131 | − | 3.07741i | −0.644441 | − | 0.209392i | ||||
\(217\) | 16.3042 | + | 4.07787i | 1.10680 | + | 0.276824i | ||||
\(218\) | −10.9644 | + | 10.9644i | −0.742600 | + | 0.742600i | ||||
\(219\) | 16.1416 | + | 1.69655i | 1.09075 | + | 0.114642i | ||||
\(220\) | 0.487307 | − | 2.35406i | 0.0328542 | − | 0.158711i | ||||
\(221\) | 1.15756 | + | 11.0134i | 0.0778656 | + | 0.740842i | ||||
\(222\) | 7.68503 | − | 2.95001i | 0.515786 | − | 0.197992i | ||||
\(223\) | 5.91390 | − | 11.6067i | 0.396024 | − | 0.777241i | −0.603778 | − | 0.797153i | \(-0.706339\pi\) |
0.999802 | + | 0.0199118i | \(0.00633854\pi\) | |||||||
\(224\) | −2.95331 | + | 6.94333i | −0.197326 | + | 0.463921i | ||||
\(225\) | 0.0447212 | + | 4.20644i | 0.00298141 | + | 0.280430i | ||||
\(226\) | 7.26966 | + | 12.5914i | 0.483571 | + | 0.837569i | ||||
\(227\) | −2.59763 | + | 1.68692i | −0.172411 | + | 0.111965i | −0.627960 | − | 0.778246i | \(-0.716110\pi\) |
0.455549 | + | 0.890211i | \(0.349443\pi\) | |||||||
\(228\) | 5.91047 | + | 4.78620i | 0.391430 | + | 0.316974i | ||||
\(229\) | 0.487685 | + | 0.217131i | 0.0322271 | + | 0.0143484i | 0.422787 | − | 0.906229i | \(-0.361052\pi\) |
−0.390560 | + | 0.920578i | \(0.627719\pi\) | |||||||
\(230\) | 7.12326 | − | 0.0378647i | 0.469694 | − | 0.00249673i | ||||
\(231\) | 0.180576 | + | 10.8013i | 0.0118810 | + | 0.710674i | ||||
\(232\) | 11.6820 | + | 11.6820i | 0.766961 | + | 0.766961i | ||||
\(233\) | −15.6193 | − | 19.2882i | −1.02325 | − | 1.26361i | −0.964149 | − | 0.265360i | \(-0.914509\pi\) |
−0.0591038 | − | 0.998252i | \(-0.518824\pi\) | |||||||
\(234\) | 1.95199 | + | 2.16791i | 0.127606 | + | 0.141721i | ||||
\(235\) | 1.55064 | + | 5.66640i | 0.101152 | + | 0.369635i | ||||
\(236\) | −4.03538 | − | 3.63348i | −0.262681 | − | 0.236519i | ||||
\(237\) | −2.37712 | − | 4.66535i | −0.154410 | − | 0.303047i | ||||
\(238\) | −11.8759 | − | 17.6347i | −0.769799 | − | 1.14309i | ||||
\(239\) | −25.9462 | + | 8.43043i | −1.67832 | + | 0.545320i | −0.984585 | − | 0.174910i | \(-0.944037\pi\) |
−0.693736 | + | 0.720229i | \(0.744037\pi\) | |||||||
\(240\) | −17.5770 | − | 11.2822i | −1.13459 | − | 0.728265i | ||||
\(241\) | 14.2251 | − | 12.8083i | 0.916319 | − | 0.825057i | −0.0686763 | − | 0.997639i | \(-0.521878\pi\) |
0.984995 | + | 0.172582i | \(0.0552109\pi\) | |||||||
\(242\) | −9.86243 | − | 3.78583i | −0.633981 | − | 0.243362i | ||||
\(243\) | 2.20163 | − | 8.21660i | 0.141235 | − | 0.527095i | ||||
\(244\) | −3.58129 | − | 2.60196i | −0.229269 | − | 0.166574i | ||||
\(245\) | 15.4917 | − | 2.23794i | 0.989726 | − | 0.142976i | ||||
\(246\) | 22.4251 | − | 16.2928i | 1.42977 | − | 1.03879i | ||||
\(247\) | −5.89043 | − | 15.3451i | −0.374799 | − | 0.976386i | ||||
\(248\) | −8.14354 | − | 12.5400i | −0.517116 | − | 0.796288i | ||||
\(249\) | 4.95609 | + | 2.86140i | 0.314079 | + | 0.181334i | ||||
\(250\) | 4.31625 | − | 17.2011i | 0.272983 | − | 1.08789i | ||||
\(251\) | 7.49714i | 0.473215i | 0.971605 | + | 0.236608i | \(0.0760356\pi\) | ||||
−0.971605 | + | 0.236608i | \(0.923964\pi\) | |||||||
\(252\) | −1.07916 | − | 0.393683i | −0.0679806 | − | 0.0247997i | ||||
\(253\) | −0.654514 | + | 4.13244i | −0.0411489 | + | 0.259804i | ||||
\(254\) | 1.58561 | − | 3.56134i | 0.0994900 | − | 0.223458i | ||||
\(255\) | 20.2344 | − | 9.13813i | 1.26713 | − | 0.572252i | ||||
\(256\) | 10.6261 | − | 4.73103i | 0.664130 | − | 0.295690i | ||||
\(257\) | −13.2229 | − | 3.54307i | −0.824824 | − | 0.221011i | −0.178369 | − | 0.983964i | \(-0.557082\pi\) |
−0.646454 | + | 0.762953i | \(0.723749\pi\) | |||||||
\(258\) | −0.678378 | − | 4.28311i | −0.0422340 | − | 0.266655i | ||||
\(259\) | 6.62555 | − | 2.27590i | 0.411691 | − | 0.141417i | ||||
\(260\) | −1.15709 | − | 2.24139i | −0.0717598 | − | 0.139005i | ||||
\(261\) | −3.95126 | + | 4.38832i | −0.244577 | + | 0.271630i | ||||
\(262\) | 8.82533 | + | 0.462516i | 0.545231 | + | 0.0285743i | ||||
\(263\) | 19.5402 | + | 1.02406i | 1.20490 | + | 0.0631462i | 0.644190 | − | 0.764865i | \(-0.277195\pi\) |
0.560711 | + | 0.828012i | \(0.310528\pi\) | |||||||
\(264\) | 6.43097 | − | 7.14231i | 0.395799 | − | 0.439579i | ||||
\(265\) | 14.5267 | − | 14.6820i | 0.892369 | − | 0.901906i | ||||
\(266\) | 23.8008 | + | 20.7205i | 1.45932 | + | 1.27046i | ||||
\(267\) | −3.88242 | − | 24.5127i | −0.237600 | − | 1.50015i | ||||
\(268\) | 1.63683 | + | 0.438587i | 0.0999853 | + | 0.0267910i | ||||
\(269\) | 8.43550 | − | 3.75573i | 0.514321 | − | 0.228991i | −0.133128 | − | 0.991099i | \(-0.542502\pi\) |
0.647450 | + | 0.762108i | \(0.275836\pi\) | |||||||
\(270\) | −7.43392 | + | 13.0355i | −0.452414 | + | 0.793313i | ||||
\(271\) | 0.449933 | − | 1.01057i | 0.0273315 | − | 0.0613875i | −0.899364 | − | 0.437201i | \(-0.855970\pi\) |
0.926695 | + | 0.375813i | \(0.122637\pi\) | |||||||
\(272\) | −3.77692 | + | 23.8465i | −0.229010 | + | 1.44591i | ||||
\(273\) | 7.27970 | + | 8.68860i | 0.440588 | + | 0.525858i | ||||
\(274\) | 14.4054i | 0.870263i | ||||||||
\(275\) | 9.56034 | + | 4.13532i | 0.576510 | + | 0.249369i | ||||
\(276\) | −1.75918 | − | 1.01566i | −0.105890 | − | 0.0611356i | ||||
\(277\) | 10.5883 | + | 16.3045i | 0.636188 | + | 0.979643i | 0.998860 | + | 0.0477267i | \(0.0151976\pi\) |
−0.362673 | + | 0.931917i | \(0.618136\pi\) | |||||||
\(278\) | 10.1281 | + | 26.3845i | 0.607441 | + | 1.58244i | ||||
\(279\) | 4.32369 | − | 3.14135i | 0.258853 | − | 0.188067i | ||||
\(280\) | −11.4436 | − | 7.93504i | −0.683884 | − | 0.474209i | ||||
\(281\) | −1.38801 | − | 1.00845i | −0.0828017 | − | 0.0601589i | 0.545614 | − | 0.838036i | \(-0.316296\pi\) |
−0.628416 | + | 0.777878i | \(0.716296\pi\) | |||||||
\(282\) | 2.11398 | − | 7.88949i | 0.125886 | − | 0.469812i | ||||
\(283\) | 24.6453 | + | 9.46043i | 1.46501 | + | 0.562364i | 0.954685 | − | 0.297618i | \(-0.0961921\pi\) |
0.510324 | + | 0.859982i | \(0.329525\pi\) | |||||||
\(284\) | 2.56704 | − | 2.31137i | 0.152326 | − | 0.137155i | ||||
\(285\) | −25.4994 | + | 20.8744i | −1.51045 | + | 1.23649i | ||||
\(286\) | 6.86990 | − | 2.23217i | 0.406226 | − | 0.131991i | ||||
\(287\) | 19.5666 | − | 13.1769i | 1.15498 | − | 0.777805i | ||||
\(288\) | 1.08929 | + | 2.13786i | 0.0641873 | + | 0.125975i | ||||
\(289\) | −6.43928 | − | 5.79795i | −0.378781 | − | 0.341056i | ||||
\(290\) | 20.8058 | − | 13.6692i | 1.22176 | − | 0.802683i | ||||
\(291\) | −4.42323 | − | 4.91250i | −0.259294 | − | 0.287976i | ||||
\(292\) | 2.68943 | + | 3.32116i | 0.157387 | + | 0.194356i | ||||
\(293\) | 4.33790 | + | 4.33790i | 0.253423 | + | 0.253423i | 0.822372 | − | 0.568950i | \(-0.192650\pi\) |
−0.568950 | + | 0.822372i | \(0.692650\pi\) | |||||||
\(294\) | −20.1654 | − | 8.18193i | −1.17607 | − | 0.477180i | ||||
\(295\) | 18.9614 | − | 13.9308i | 1.10397 | − | 0.811085i | ||||
\(296\) | −5.69377 | − | 2.53503i | −0.330944 | − | 0.147346i | ||||
\(297\) | −6.84976 | − | 5.54683i | −0.397463 | − | 0.321860i | ||||
\(298\) | −19.4749 | + | 12.6471i | −1.12815 | + | 0.732629i | ||||
\(299\) | 2.19506 | + | 3.80196i | 0.126944 | + | 0.219873i | ||||
\(300\) | −3.53775 | + | 3.61378i | −0.204252 | + | 0.208642i | ||||
\(301\) | −0.447061 | − | 3.66334i | −0.0257682 | − | 0.211151i | ||||
\(302\) | −11.5977 | + | 22.7617i | −0.667372 | + | 1.30979i | ||||
\(303\) | −5.19574 | + | 1.99446i | −0.298488 | + | 0.114579i | ||||
\(304\) | −3.74585 | − | 35.6394i | −0.214839 | − | 2.04406i | ||||
\(305\) | 14.1858 | − | 12.9101i | 0.812276 | − | 0.739232i | ||||
\(306\) | −6.72379 | − | 0.706699i | −0.384373 | − | 0.0403993i | ||||
\(307\) | −12.5574 | + | 12.5574i | −0.716687 | + | 0.716687i | −0.967925 | − | 0.251239i | \(-0.919162\pi\) |
0.251239 | + | 0.967925i | \(0.419162\pi\) | |||||||
\(308\) | −1.97740 | + | 2.04465i | −0.112673 | + | 0.116504i | ||||
\(309\) | 13.6044 | + | 4.42034i | 0.773928 | + | 0.251464i | ||||
\(310\) | −20.9909 | + | 8.18593i | −1.19220 | + | 0.464930i | ||||
\(311\) | −1.32225 | + | 6.22068i | −0.0749777 | + | 0.352743i | −0.999604 | − | 0.0281326i | \(-0.991044\pi\) |
0.924626 | + | 0.380875i | \(0.124377\pi\) | |||||||
\(312\) | 0.527784 | − | 10.0707i | 0.0298799 | − | 0.570142i | ||||
\(313\) | −6.40601 | − | 4.16011i | −0.362089 | − | 0.235143i | 0.350753 | − | 0.936468i | \(-0.385926\pi\) |
−0.712842 | + | 0.701325i | \(0.752592\pi\) | |||||||
\(314\) | −2.10547 | − | 6.47997i | −0.118818 | − | 0.365686i | ||||
\(315\) | 2.61827 | − | 4.23312i | 0.147523 | − | 0.238509i | ||||
\(316\) | 0.426032 | − | 1.31119i | 0.0239662 | − | 0.0737603i | ||||
\(317\) | −10.9676 | + | 8.88140i | −0.616003 | + | 0.498829i | −0.885787 | − | 0.464092i | \(-0.846381\pi\) |
0.269785 | + | 0.962921i | \(0.413048\pi\) | |||||||
\(318\) | −27.7372 | + | 7.43217i | −1.55543 | + | 0.416775i | ||||
\(319\) | 5.94723 | + | 13.3577i | 0.332981 | + | 0.747888i | ||||
\(320\) | 2.38641 | + | 10.9409i | 0.133404 | + | 0.611614i | ||||
\(321\) | 13.3581 | + | 18.3858i | 0.745575 | + | 1.02620i | ||||
\(322\) | −7.14446 | − | 4.47168i | −0.398145 | − | 0.249197i | ||||
\(323\) | 33.9415 | + | 17.2941i | 1.88856 | + | 0.962268i | ||||
\(324\) | 4.83394 | − | 2.79088i | 0.268552 | − | 0.155049i | ||||
\(325\) | 10.5266 | − | 2.94088i | 0.583910 | − | 0.163131i | ||||
\(326\) | 12.0978 | − | 20.9541i | 0.670037 | − | 1.16054i | ||||
\(327\) | 1.00272 | + | 19.1330i | 0.0554505 | + | 1.05806i | ||||
\(328\) | −20.7288 | − | 3.28311i | −1.14455 | − | 0.181280i | ||||
\(329\) | 2.03720 | − | 6.64586i | 0.112314 | − | 0.366398i | ||||
\(330\) | −8.57455 | − | 11.6709i | −0.472014 | − | 0.642461i | ||||
\(331\) | 1.07624 | − | 10.2397i | 0.0591554 | − | 0.562826i | −0.924299 | − | 0.381670i | \(-0.875349\pi\) |
0.983454 | − | 0.181157i | \(-0.0579841\pi\) | |||||||
\(332\) | 0.389997 | + | 1.45549i | 0.0214038 | + | 0.0798802i | ||||
\(333\) | 0.798347 | − | 2.07976i | 0.0437491 | − | 0.113970i | ||||
\(334\) | −26.2374 | + | 5.57694i | −1.43565 | + | 0.305156i | ||||
\(335\) | −3.29863 | + | 6.55989i | −0.180223 | + | 0.358405i | ||||
\(336\) | 10.4277 | + | 22.4053i | 0.568876 | + | 1.22231i | ||||
\(337\) | 22.9028 | − | 11.6695i | 1.24759 | − | 0.635681i | 0.299629 | − | 0.954056i | \(-0.403137\pi\) |
0.947965 | + | 0.318375i | \(0.103137\pi\) | |||||||
\(338\) | −7.10280 | + | 10.9374i | −0.386341 | + | 0.594914i | ||||
\(339\) | 17.5723 | + | 3.73512i | 0.954398 | + | 0.202864i | ||||
\(340\) | 5.46869 | + | 2.06595i | 0.296581 | + | 0.112042i | ||||
\(341\) | −2.75139 | − | 12.9443i | −0.148996 | − | 0.700973i | ||||
\(342\) | 9.91130 | − | 1.56980i | 0.535942 | − | 0.0848848i | ||||
\(343\) | −16.9024 | − | 7.57025i | −0.912644 | − | 0.408755i | ||||
\(344\) | −1.92990 | + | 2.65628i | −0.104053 | + | 0.143217i | ||||
\(345\) | 5.85463 | − | 6.57214i | 0.315203 | − | 0.353832i | ||||
\(346\) | −29.5715 | + | 3.10809i | −1.58977 | + | 0.167092i | ||||
\(347\) | 2.87187 | − | 3.54647i | 0.154170 | − | 0.190384i | −0.694209 | − | 0.719774i | \(-0.744246\pi\) |
0.848379 | + | 0.529389i | \(0.177579\pi\) | |||||||
\(348\) | −7.08921 | + | 0.371530i | −0.380022 | + | 0.0199161i | ||||
\(349\) | −35.4204 | −1.89601 | −0.948005 | − | 0.318256i | \(-0.896903\pi\) | ||||
−0.948005 | + | 0.318256i | \(0.896903\pi\) | |||||||
\(350\) | −15.2041 | + | 14.4619i | −0.812691 | + | 0.773021i | ||||
\(351\) | −9.24834 | −0.493640 | ||||||||
\(352\) | 5.93307 | − | 0.310939i | 0.316234 | − | 0.0165731i | ||||
\(353\) | 6.72945 | − | 8.31018i | 0.358173 | − | 0.442306i | −0.565929 | − | 0.824454i | \(-0.691482\pi\) |
0.924101 | + | 0.382148i | \(0.124816\pi\) | |||||||
\(354\) | −32.5334 | + | 3.41940i | −1.72913 | + | 0.181739i | ||||
\(355\) | 7.55250 | + | 12.9222i | 0.400845 | + | 0.685839i | ||||
\(356\) | 3.84101 | − | 5.28670i | 0.203573 | − | 0.280194i | ||||
\(357\) | −26.0116 | − | 3.67525i | −1.37668 | − | 0.194515i | ||||
\(358\) | 15.3678 | − | 2.43402i | 0.812214 | − | 0.128642i | ||||
\(359\) | −0.793602 | − | 3.73360i | −0.0418847 | − | 0.197052i | 0.952230 | − | 0.305380i | \(-0.0987836\pi\) |
−0.994115 | + | 0.108328i | \(0.965450\pi\) | |||||||
\(360\) | −4.27121 | + | 1.16884i | −0.225113 | + | 0.0616031i | ||||
\(361\) | −36.7204 | − | 7.80515i | −1.93265 | − | 0.410797i | ||||
\(362\) | 0.725151 | − | 1.11663i | 0.0381131 | − | 0.0586890i | ||||
\(363\) | −11.6304 | + | 5.92598i | −0.610437 | + | 0.311033i | ||||
\(364\) | −0.262315 | + | 2.97304i | −0.0137490 | + | 0.155829i | ||||
\(365\) | −16.4540 | + | 8.49421i | −0.861243 | + | 0.444607i | ||||
\(366\) | −26.0850 | + | 5.54453i | −1.36348 | + | 0.289817i | ||||
\(367\) | −2.98397 | + | 7.77350i | −0.155762 | + | 0.405773i | −0.989149 | − | 0.146916i | \(-0.953065\pi\) |
0.833387 | + | 0.552690i | \(0.186399\pi\) | |||||||
\(368\) | 2.47726 | + | 9.24526i | 0.129136 | + | 0.481943i | ||||
\(369\) | 0.784116 | − | 7.46037i | 0.0408195 | − | 0.388371i | ||||
\(370\) | −5.47976 | + | 7.62717i | −0.284879 | + | 0.396518i | ||||
\(371\) | −23.8158 | + | 5.47982i | −1.23645 | + | 0.284498i | ||||
\(372\) | 6.34579 | + | 1.00507i | 0.329014 | + | 0.0521107i | ||||
\(373\) | −0.912274 | − | 17.4072i | −0.0472358 | − | 0.901312i | −0.914780 | − | 0.403952i | \(-0.867636\pi\) |
0.867544 | − | 0.497360i | \(-0.165697\pi\) | |||||||
\(374\) | −8.37041 | + | 14.4980i | −0.432824 | + | 0.749672i | ||||
\(375\) | −12.2261 | − | 18.1849i | −0.631351 | − | 0.939064i | ||||
\(376\) | −5.35564 | + | 3.09208i | −0.276196 | + | 0.159462i | ||||
\(377\) | 13.6702 | + | 6.96529i | 0.704049 | + | 0.358731i | ||||
\(378\) | 15.6834 | − | 8.32419i | 0.806667 | − | 0.428150i | ||||
\(379\) | −6.41691 | − | 8.83212i | −0.329614 | − | 0.453675i | 0.611758 | − | 0.791045i | \(-0.290463\pi\) |
−0.941372 | + | 0.337370i | \(0.890463\pi\) | |||||||
\(380\) | −8.63404 | − | 0.861097i | −0.442917 | − | 0.0441734i | ||||
\(381\) | −1.95919 | − | 4.40042i | −0.100372 | − | 0.225440i | ||||
\(382\) | 4.16868 | − | 1.11699i | 0.213288 | − | 0.0571504i | ||||
\(383\) | 12.8953 | − | 10.4424i | 0.658919 | − | 0.533582i | −0.240511 | − | 0.970646i | \(-0.577315\pi\) |
0.899430 | + | 0.437064i | \(0.143982\pi\) | |||||||
\(384\) | 8.26557 | − | 25.4388i | 0.421800 | − | 1.29817i | ||||
\(385\) | −6.93866 | − | 10.1861i | −0.353627 | − | 0.519131i | ||||
\(386\) | 3.43596 | + | 10.5748i | 0.174886 | + | 0.538244i | ||||
\(387\) | −0.984236 | − | 0.639170i | −0.0500315 | − | 0.0324909i | ||||
\(388\) | 0.0910931 | − | 1.73816i | 0.00462455 | − | 0.0882417i | ||||
\(389\) | 3.99680 | − | 18.8035i | 0.202646 | − | 0.953373i | −0.752810 | − | 0.658238i | \(-0.771302\pi\) |
0.955456 | − | 0.295135i | \(-0.0953646\pi\) | |||||||
\(390\) | −14.6987 | − | 3.85489i | −0.744299 | − | 0.195200i | ||||
\(391\) | −9.67645 | − | 3.14407i | −0.489359 | − | 0.159002i | ||||
\(392\) | 6.41568 | + | 15.1765i | 0.324041 | + | 0.766531i | ||||
\(393\) | 7.72133 | − | 7.72133i | 0.389490 | − | 0.389490i | ||||
\(394\) | 23.3815 | + | 2.45750i | 1.17794 | + | 0.123807i | ||||
\(395\) | 5.18923 | + | 2.95934i | 0.261098 | + | 0.148900i | ||||
\(396\) | 0.0945471 | + | 0.899556i | 0.00475117 | + | 0.0452044i | ||||
\(397\) | 1.13583 | − | 0.436005i | 0.0570058 | − | 0.0218825i | −0.329698 | − | 0.944086i | \(-0.606947\pi\) |
0.386704 | + | 0.922204i | \(0.373614\pi\) | |||||||
\(398\) | −15.1329 | + | 29.7001i | −0.758546 | + | 1.48873i | ||||
\(399\) | 38.7044 | − | 4.72336i | 1.93765 | − | 0.236464i | ||||
\(400\) | 23.8276 | − | 0.253326i | 1.19138 | − | 0.0126663i | ||||
\(401\) | 2.37174 | + | 4.10797i | 0.118439 | + | 0.205142i | 0.919149 | − | 0.393910i | \(-0.128878\pi\) |
−0.800710 | + | 0.599052i | \(0.795544\pi\) | |||||||
\(402\) | 8.56160 | − | 5.55997i | 0.427014 | − | 0.277306i | ||||
\(403\) | −10.7911 | − | 8.73849i | −0.537545 | − | 0.435295i | ||||
\(404\) | −1.33870 | − | 0.596027i | −0.0666027 | − | 0.0296534i | ||||
\(405\) | 7.59595 | + | 22.9619i | 0.377446 | + | 1.14099i | ||||
\(406\) | −29.4512 | + | 0.492364i | −1.46164 | + | 0.0244356i | ||||
\(407\) | −3.90054 | − | 3.90054i | −0.193342 | − | 0.193342i | ||||
\(408\) | 14.7082 | + | 18.1631i | 0.728166 | + | 0.899210i | ||||
\(409\) | 16.5891 | + | 18.4241i | 0.820280 | + | 0.911014i | 0.997318 | − | 0.0731905i | \(-0.0233181\pi\) |
−0.177038 | + | 0.984204i | \(0.556651\pi\) | |||||||
\(410\) | −11.1760 | + | 29.5837i | −0.551946 | + | 1.46103i | ||||
\(411\) | 13.2276 | + | 11.9102i | 0.652468 | + | 0.587485i | ||||
\(412\) | 1.70992 | + | 3.35591i | 0.0842419 | + | 0.165334i | ||||
\(413\) | −27.7732 | + | 1.92153i | −1.36663 | + | 0.0945522i | ||||
\(414\) | −2.54904 | + | 0.828232i | −0.125278 | + | 0.0407054i | ||||
\(415\) | −6.51823 | + | 0.376359i | −0.319967 | + | 0.0184747i | ||||
\(416\) | 4.63276 | − | 4.17136i | 0.227140 | − | 0.204518i | ||||
\(417\) | 32.6010 | + | 12.5143i | 1.59648 | + | 0.612829i | ||||
\(418\) | 6.43108 | − | 24.0011i | 0.314554 | − | 1.17393i | ||||
\(419\) | 19.6973 | + | 14.3109i | 0.962276 | + | 0.699135i | 0.953678 | − | 0.300828i | \(-0.0972631\pi\) |
0.00859807 | + | 0.999963i | \(0.497263\pi\) | |||||||
\(420\) | 5.82415 | − | 1.37273i | 0.284190 | − | 0.0669824i | ||||
\(421\) | −6.00083 | + | 4.35986i | −0.292463 | + | 0.212486i | −0.724335 | − | 0.689448i | \(-0.757853\pi\) |
0.431872 | + | 0.901935i | \(0.357853\pi\) | |||||||
\(422\) | −14.1916 | − | 36.9703i | −0.690835 | − | 1.79969i | ||||
\(423\) | −1.20388 | − | 1.85381i | −0.0585345 | − | 0.0901352i | ||||
\(424\) | 18.8290 | + | 10.8709i | 0.914415 | + | 0.527938i | ||||
\(425\) | −13.5692 | + | 21.3892i | −0.658204 | + | 1.03753i | ||||
\(426\) | − | 20.8096i | − | 1.00823i | ||||||
\(427\) | −22.3533 | + | 3.92451i | −1.08175 | + | 0.189920i | ||||
\(428\) | −0.936083 | + | 5.91019i | −0.0452473 | + | 0.285680i | ||||
\(429\) | 3.63027 | − | 8.15371i | 0.175271 | − | 0.393665i | ||||
\(430\) | 3.33000 | + | 3.65904i | 0.160587 | + | 0.176455i | ||||
\(431\) | 16.4910 | − | 7.34228i | 0.794345 | − | 0.353665i | 0.0308873 | − | 0.999523i | \(-0.490167\pi\) |
0.763458 | + | 0.645858i | \(0.223500\pi\) | |||||||
\(432\) | −19.4763 | − | 5.21865i | −0.937052 | − | 0.251082i | ||||
\(433\) | 3.94891 | + | 24.9324i | 0.189773 | + | 1.19818i | 0.880139 | + | 0.474717i | \(0.157449\pi\) |
−0.690366 | + | 0.723460i | \(0.742551\pi\) | |||||||
\(434\) | 26.1650 | + | 5.10597i | 1.25596 | + | 0.245095i | ||||
\(435\) | 4.65031 | − | 30.4061i | 0.222965 | − | 1.45786i | ||||
\(436\) | −3.37556 | + | 3.74894i | −0.161660 | + | 0.179542i | ||||
\(437\) | 15.0808 | + | 0.790352i | 0.721413 | + | 0.0378077i | ||||
\(438\) | 25.7096 | + | 1.34739i | 1.22845 | + | 0.0643805i | ||||
\(439\) | 18.6654 | − | 20.7300i | 0.890849 | − | 0.989388i | −0.109141 | − | 0.994026i | \(-0.534810\pi\) |
0.999989 | + | 0.00463865i | \(0.00147653\pi\) | |||||||
\(440\) | −1.65771 | + | 10.8390i | −0.0790284 | + | 0.516728i | ||||
\(441\) | −5.29712 | + | 2.57392i | −0.252244 | + | 0.122568i | ||||
\(442\) | 2.74789 | + | 17.3495i | 0.130704 | + | 0.825232i | ||||
\(443\) | 29.5785 | + | 7.92554i | 1.40532 | + | 0.376554i | 0.880252 | − | 0.474507i | \(-0.157374\pi\) |
0.525066 | + | 0.851061i | \(0.324040\pi\) | |||||||
\(444\) | 2.44659 | − | 1.08929i | 0.116110 | − | 0.0516955i | ||||
\(445\) | 19.0579 | + | 20.9410i | 0.903432 | + | 0.992700i | ||||
\(446\) | 8.40428 | − | 18.8763i | 0.397954 | − | 0.893820i | ||||
\(447\) | −4.48846 | + | 28.3390i | −0.212297 | + | 1.34039i | ||||
\(448\) | 4.54087 | − | 12.4474i | 0.214536 | − | 0.588084i | ||||
\(449\) | − | 30.4224i | − | 1.43572i | −0.696187 | − | 0.717861i | \(-0.745121\pi\) | ||
0.696187 | − | 0.717861i | \(-0.254879\pi\) | |||||||
\(450\) | 0.420041 | + | 6.65944i | 0.0198009 | + | 0.313929i | ||||
\(451\) | −16.0862 | − | 9.28737i | −0.757469 | − | 0.437325i | ||||
\(452\) | 2.57626 | + | 3.96710i | 0.121177 | + | 0.186597i | ||||
\(453\) | 11.3119 | + | 29.4685i | 0.531478 | + | 1.38455i | ||||
\(454\) | −3.97469 | + | 2.88778i | −0.186541 | + | 0.135530i | ||||
\(455\) | −12.3843 | − | 3.72434i | −0.580584 | − | 0.174600i | ||||
\(456\) | −28.0645 | − | 20.3900i | −1.31424 | − | 0.954851i | ||||
\(457\) | 10.4479 | − | 38.9922i | 0.488733 | − | 1.82398i | −0.0738955 | − | 0.997266i | \(-0.523543\pi\) |
0.562628 | − | 0.826710i | \(-0.309790\pi\) | |||||||
\(458\) | 0.790535 | + | 0.303458i | 0.0369393 | + | 0.0141797i | ||||
\(459\) | 15.9283 | − | 14.3419i | 0.743469 | − | 0.669423i | ||||
\(460\) | 2.31366 | − | 0.133590i | 0.107875 | − | 0.00622865i | ||||
\(461\) | 16.9923 | − | 5.52114i | 0.791411 | − | 0.257145i | 0.114706 | − | 0.993399i | \(-0.463407\pi\) |
0.676705 | + | 0.736255i | \(0.263407\pi\) | |||||||
\(462\) | 1.18272 | + | 17.0946i | 0.0550249 | + | 0.795315i | ||||
\(463\) | −15.5311 | − | 30.4814i | −0.721790 | − | 1.41659i | −0.901458 | − | 0.432866i | \(-0.857502\pi\) |
0.179668 | − | 0.983727i | \(-0.442498\pi\) | |||||||
\(464\) | 24.8579 | + | 22.3821i | 1.15400 | + | 1.03906i | ||||
\(465\) | −9.83831 | + | 26.0426i | −0.456241 | + | 1.20770i | ||||
\(466\) | −26.3427 | − | 29.2565i | −1.22030 | − | 1.35528i | ||||
\(467\) | −4.20233 | − | 5.18944i | −0.194460 | − | 0.240139i | 0.670584 | − | 0.741833i | \(-0.266043\pi\) |
−0.865045 | + | 0.501695i | \(0.832710\pi\) | |||||||
\(468\) | 0.671104 | + | 0.671104i | 0.0310218 | + | 0.0310218i | ||||
\(469\) | 7.45022 | − | 4.46907i | 0.344019 | − | 0.206363i | ||||
\(470\) | 2.92666 | + | 8.84705i | 0.134997 | + | 0.408084i | ||||
\(471\) | −7.69091 | − | 3.42421i | −0.354378 | − | 0.157779i | ||||
\(472\) | 19.2484 | + | 15.5870i | 0.885978 | + | 0.717451i | ||||
\(473\) | −2.43712 | + | 1.58268i | −0.112059 | + | 0.0727718i | ||||
\(474\) | −4.15273 | − | 7.19274i | −0.190741 | − | 0.330374i | ||||
\(475\) | 11.2373 | − | 35.8782i | 0.515601 | − | 1.64620i | ||||
\(476\) | −4.15867 | − | 5.52721i | −0.190612 | − | 0.253339i | ||||
\(477\) | −3.52805 | + | 6.92419i | −0.161538 | + | 0.317037i | ||||
\(478\) | −40.3998 | + | 15.5080i | −1.84785 | + | 0.709321i | ||||
\(479\) | 0.529424 | + | 5.03713i | 0.0241900 | + | 0.230153i | 0.999937 | + | 0.0112499i | \(0.00358104\pi\) |
−0.975747 | + | 0.218903i | \(0.929752\pi\) | |||||||
\(480\) | −10.8570 | − | 6.19158i | −0.495552 | − | 0.282606i | ||||
\(481\) | −5.75631 | − | 0.605013i | −0.262465 | − | 0.0275862i | ||||
\(482\) | 21.4697 | − | 21.4697i | 0.977920 | − | 0.977920i | ||||
\(483\) | −10.0130 | + | 2.86319i | −0.455606 | + | 0.130280i | ||||
\(484\) | −3.26870 | − | 1.06207i | −0.148577 | − | 0.0482758i | ||||
\(485\) | 7.29505 | + | 1.91320i | 0.331251 | + | 0.0868740i | ||||
\(486\) | 2.80535 | − | 13.1981i | 0.127253 | − | 0.598680i | ||||
\(487\) | 0.984042 | − | 18.7766i | 0.0445912 | − | 0.850851i | −0.881183 | − | 0.472775i | \(-0.843252\pi\) |
0.925774 | − | 0.378076i | \(-0.123414\pi\) | |||||||
\(488\) | 16.9338 | + | 10.9969i | 0.766556 | + | 0.497807i | ||||
\(489\) | −9.23849 | − | 28.4332i | −0.417779 | − | 1.28579i | ||||
\(490\) | 24.3535 | − | 4.83102i | 1.10018 | − | 0.218243i | ||||
\(491\) | −8.10726 | + | 24.9516i | −0.365876 | + | 1.12605i | 0.583555 | + | 0.812073i | \(0.301661\pi\) |
−0.949431 | + | 0.313976i | \(0.898339\pi\) | |||||||
\(492\) | 7.00838 | − | 5.67527i | 0.315962 | − | 0.255861i | ||||
\(493\) | −34.3454 | + | 9.20282i | −1.54684 | + | 0.414474i | ||||
\(494\) | −10.6045 | − | 23.8182i | −0.477121 | − | 1.07163i | ||||
\(495\) | −3.89989 | − | 0.388947i | −0.175287 | − | 0.0174819i | ||||
\(496\) | −17.7943 | − | 24.4918i | −0.798989 | − | 1.09971i | ||||
\(497\) | 0.631101 | − | 17.6984i | 0.0283088 | − | 0.793884i | ||||
\(498\) | 8.08815 | + | 4.12112i | 0.362439 | + | 0.184672i | ||||
\(499\) | −2.61768 | + | 1.51132i | −0.117183 | + | 0.0676558i | −0.557446 | − | 0.830213i | \(-0.688219\pi\) |
0.440263 | + | 0.897869i | \(0.354885\pi\) | |||||||
\(500\) | 1.10944 | − | 5.66202i | 0.0496157 | − | 0.253213i | ||||
\(501\) | −16.5717 | + | 28.7031i | −0.740370 | + | 1.28236i | ||||
\(502\) | 0.622380 | + | 11.8757i | 0.0277782 | + | 0.530039i | ||||
\(503\) | −13.8594 | − | 2.19511i | −0.617958 | − | 0.0978750i | −0.160396 | − | 0.987053i | \(-0.551277\pi\) |
−0.457562 | + | 0.889178i | \(0.651277\pi\) | |||||||
\(504\) | 5.00950 | + | 1.53560i | 0.223141 | + | 0.0684009i | ||||
\(505\) | 3.70479 | − | 5.15662i | 0.164861 | − | 0.229467i | ||||
\(506\) | −0.693715 | + | 6.60026i | −0.0308394 | + | 0.293417i | ||||
\(507\) | 4.17060 | + | 15.5649i | 0.185223 | + | 0.691260i | ||||
\(508\) | 0.454516 | − | 1.18405i | 0.0201659 | − | 0.0525339i | ||||
\(509\) | −22.1880 | + | 4.71620i | −0.983465 | + | 0.209042i | −0.671462 | − | 0.741039i | \(-0.734333\pi\) |
−0.312003 | + | 0.950081i | \(0.601000\pi\) | |||||||
\(510\) | 31.2934 | − | 16.1549i | 1.38570 | − | 0.715351i | ||||
\(511\) | 21.8251 | + | 1.92565i | 0.965483 | + | 0.0851858i | ||||
\(512\) | −7.88049 | + | 4.01531i | −0.348272 | + | 0.177453i | ||||
\(513\) | −17.3267 | + | 26.6808i | −0.764992 | + | 1.17798i | ||||
\(514\) | −21.2397 | − | 4.51464i | −0.936843 | − | 0.199132i | ||||
\(515\) | −15.7411 | + | 4.30763i | −0.693637 | + | 0.189817i | ||||
\(516\) | −0.293330 | − | 1.38001i | −0.0129131 | − | 0.0607514i | ||||
\(517\) | −5.40593 | + | 0.856215i | −0.237752 | + | 0.0376563i | ||||
\(518\) | 10.3062 | − | 4.15513i | 0.452827 | − | 0.182566i | ||||
\(519\) | −21.5953 | + | 29.7233i | −0.947927 | + | 1.30471i | ||||
\(520\) | 5.80556 | + | 9.93321i | 0.254591 | + | 0.435600i | ||||
\(521\) | −41.7780 | + | 4.39105i | −1.83033 | + | 0.192375i | −0.956080 | − | 0.293105i | \(-0.905311\pi\) |
−0.874248 | + | 0.485480i | \(0.838645\pi\) | |||||||
\(522\) | −5.89463 | + | 7.27927i | −0.258001 | + | 0.318605i | ||||
\(523\) | 26.3887 | − | 1.38297i | 1.15390 | − | 0.0604732i | 0.534231 | − | 0.845339i | \(-0.320601\pi\) |
0.619666 | + | 0.784865i | \(0.287268\pi\) | |||||||
\(524\) | 2.87517 | 0.125602 | ||||||||
\(525\) | 0.708965 | + | 25.9178i | 0.0309418 | + | 1.13114i | ||||
\(526\) | 31.0374 | 1.35329 | ||||||||
\(527\) | 32.1367 | − | 1.68421i | 1.39990 | − | 0.0733655i | ||||
\(528\) | 12.2460 | − | 15.1226i | 0.532940 | − | 0.658126i | ||||
\(529\) | 18.8626 | − | 1.98254i | 0.820114 | − | 0.0861975i | ||||
\(530\) | 21.7920 | − | 24.4627i | 0.946583 | − | 1.06259i | ||||
\(531\) | −5.20358 | + | 7.16212i | −0.225816 | + | 0.310809i | ||||
\(532\) | 8.08554 | + | 6.32672i | 0.350553 | + | 0.274298i | ||||
\(533\) | −19.2501 | + | 3.04892i | −0.833815 | + | 0.132063i | ||||
\(534\) | −8.18483 | − | 38.5066i | −0.354192 | − | 1.66634i | ||||
\(535\) | −24.2549 | − | 9.16297i | −1.04863 | − | 0.396150i | ||||
\(536\) | −7.56039 | − | 1.60701i | −0.326559 | − | 0.0694123i | ||||
\(537\) | 10.4708 | − | 16.1237i | 0.451850 | − | 0.695788i | ||||
\(538\) | 13.0503 | − | 6.64948i | 0.562640 | − | 0.286679i | ||||
\(539\) | 0.487457 | + | 14.5748i | 0.0209963 | + | 0.627780i | ||||
\(540\) | −2.19328 | + | 4.36172i | −0.0943839 | + | 0.187699i | ||||
\(541\) | 4.85225 | − | 1.03138i | 0.208615 | − | 0.0443424i | −0.102419 | − | 0.994741i | \(-0.532658\pi\) |
0.311033 | + | 0.950399i | \(0.399325\pi\) | |||||||
\(542\) | 0.628817 | − | 1.63812i | 0.0270100 | − | 0.0703634i | ||||
\(543\) | −0.425791 | − | 1.58907i | −0.0182724 | − | 0.0681937i | ||||
\(544\) | −1.51020 | + | 14.3685i | −0.0647491 | + | 0.616046i | ||||
\(545\) | −12.9420 | − | 17.6155i | −0.554374 | − | 0.754563i | ||||
\(546\) | 12.2526 | + | 13.1587i | 0.524362 | + | 0.563141i | ||||
\(547\) | −17.1842 | − | 2.72171i | −0.734743 | − | 0.116372i | −0.222161 | − | 0.975010i | \(-0.571311\pi\) |
−0.512582 | + | 0.858638i | \(0.671311\pi\) | |||||||
\(548\) | 0.245281 | + | 4.68023i | 0.0104779 | + | 0.199930i | ||||
\(549\) | −3.60848 | + | 6.25007i | −0.154006 | + | 0.266747i | ||||
\(550\) | 15.4872 | + | 5.75683i | 0.660376 | + | 0.245472i | ||||
\(551\) | 45.7053 | − | 26.3880i | 1.94711 | − | 1.12416i | ||||
\(552\) | 8.25542 | + | 4.20635i | 0.351374 | + | 0.179034i | ||||
\(553\) | −3.31374 | − | 6.24333i | −0.140915 | − | 0.265493i | ||||
\(554\) | 18.1257 | + | 24.9479i | 0.770088 | + | 1.05994i | ||||
\(555\) | 2.47297 | + | 11.3377i | 0.104972 | + | 0.481260i | ||||
\(556\) | 3.73980 | + | 8.39972i | 0.158603 | + | 0.356228i | ||||
\(557\) | −10.5747 | + | 2.83348i | −0.448064 | + | 0.120058i | −0.475793 | − | 0.879557i | \(-0.657839\pi\) |
0.0277296 | + | 0.999615i | \(0.491172\pi\) | |||||||
\(558\) | 6.58809 | − | 5.33493i | 0.278896 | − | 0.225846i | ||||
\(559\) | −0.942233 | + | 2.89989i | −0.0398522 | + | 0.122652i | ||||
\(560\) | −23.9787 | − | 14.8314i | −1.01329 | − | 0.626739i | ||||
\(561\) | 6.39205 | + | 19.6727i | 0.269872 | + | 0.830582i | ||||
\(562\) | −2.28237 | − | 1.48219i | −0.0962760 | − | 0.0625224i | ||||
\(563\) | 0.104267 | − | 1.98954i | 0.00439434 | − | 0.0838491i | −0.995552 | − | 0.0942144i | \(-0.969966\pi\) |
0.999946 | + | 0.0103653i | \(0.00329943\pi\) | |||||||
\(564\) | 0.552486 | − | 2.59924i | 0.0232639 | − | 0.109448i | ||||
\(565\) | −19.0953 | + | 7.44671i | −0.803347 | + | 0.313286i | ||||
\(566\) | 39.8243 | + | 12.9397i | 1.67394 | + | 0.543896i | ||||
\(567\) | 6.94351 | − | 27.7617i | 0.291600 | − | 1.16588i | ||||
\(568\) | −11.1410 | + | 11.1410i | −0.467466 | + | 0.467466i | ||||
\(569\) | −31.7588 | − | 3.33799i | −1.33140 | − | 0.139936i | −0.588042 | − | 0.808831i | \(-0.700101\pi\) |
−0.743357 | + | 0.668895i | \(0.766768\pi\) | |||||||
\(570\) | −38.6590 | + | 35.1826i | −1.61925 | + | 1.47364i | ||||
\(571\) | 1.54321 | + | 14.6827i | 0.0645815 | + | 0.614452i | 0.978169 | + | 0.207810i | \(0.0666336\pi\) |
−0.913588 | + | 0.406642i | \(0.866700\pi\) | |||||||
\(572\) | 2.19398 | − | 0.842191i | 0.0917351 | − | 0.0352138i | ||||
\(573\) | 2.42093 | − | 4.75134i | 0.101136 | − | 0.198490i | ||||
\(574\) | 29.9003 | − | 22.4969i | 1.24801 | − | 0.939004i | ||||
\(575\) | −1.46535 | + | 9.93427i | −0.0611093 | + | 0.414288i | ||||
\(576\) | −2.10668 | − | 3.64889i | −0.0877785 | − | 0.152037i | ||||
\(577\) | −6.81017 | + | 4.42257i | −0.283511 | + | 0.184114i | −0.678558 | − | 0.734547i | \(-0.737395\pi\) |
0.395047 | + | 0.918661i | \(0.370728\pi\) | |||||||
\(578\) | −10.6814 | − | 8.64959i | −0.444286 | − | 0.359776i | ||||
\(579\) | 12.5510 | + | 5.58805i | 0.521601 | + | 0.232232i | ||||
\(580\) | 6.52692 | − | 4.79530i | 0.271016 | − | 0.199114i | ||||
\(581\) | 6.75395 | + | 3.75028i | 0.280201 | + | 0.155588i | ||||
\(582\) | −7.41437 | − | 7.41437i | −0.307335 | − | 0.307335i | ||||
\(583\) | 12.1098 | + | 14.9543i | 0.501536 | + | 0.619346i | ||||
\(584\) | −13.0430 | − | 14.4858i | −0.539725 | − | 0.599425i | ||||
\(585\) | −3.43697 | + | 2.25806i | −0.142101 | + | 0.0933592i | ||||
\(586\) | 7.23150 | + | 6.51127i | 0.298730 | + | 0.268978i | ||||
\(587\) | −3.16940 | − | 6.22031i | −0.130815 | − | 0.256739i | 0.816303 | − | 0.577624i | \(-0.196020\pi\) |
−0.947118 | + | 0.320884i | \(0.896020\pi\) | |||||||
\(588\) | −6.69092 | − | 2.31490i | −0.275929 | − | 0.0954650i | ||||
\(589\) | −45.4270 | + | 14.7601i | −1.87179 | + | 0.608181i | ||||
\(590\) | 28.8790 | − | 23.6410i | 1.18893 | − | 0.973286i | ||||
\(591\) | 21.5880 | − | 19.4379i | 0.888013 | − | 0.799570i | ||||
\(592\) | −11.7809 | − | 4.52228i | −0.484194 | − | 0.185865i | ||||
\(593\) | 2.19397 | − | 8.18799i | 0.0900954 | − | 0.336240i | −0.906135 | − | 0.422989i | \(-0.860981\pi\) |
0.996230 | + | 0.0867484i | \(0.0276476\pi\) | |||||||
\(594\) | −11.3107 | − | 8.21773i | −0.464085 | − | 0.337177i | ||||
\(595\) | 27.1048 | − | 12.7906i | 1.11119 | − | 0.524364i | ||||
\(596\) | −6.11193 | + | 4.44058i | −0.250355 | + | 0.181893i | ||||
\(597\) | 14.7600 | + | 38.4512i | 0.604087 | + | 1.57370i | ||||
\(598\) | 3.79268 | + | 5.84022i | 0.155094 | + | 0.238824i | ||||
\(599\) | −20.6751 | − | 11.9368i | −0.844762 | − | 0.487723i | 0.0141183 | − | 0.999900i | \(-0.495506\pi\) |
−0.858880 | + | 0.512177i | \(0.828839\pi\) | |||||||
\(600\) | 15.2516 | − | 17.3051i | 0.622646 | − | 0.706480i | ||||
\(601\) | 9.32470i | 0.380362i | 0.981749 | + | 0.190181i | \(0.0609075\pi\) | ||||
−0.981749 | + | 0.190181i | \(0.939092\pi\) | |||||||
\(602\) | −1.01228 | − | 5.76574i | −0.0412573 | − | 0.234994i | ||||
\(603\) | 0.432180 | − | 2.72868i | 0.0175997 | − | 0.111120i | ||||
\(604\) | −3.38046 | + | 7.59263i | −0.137549 | + | 0.308940i | ||||
\(605\) | 7.37741 | − | 12.9364i | 0.299934 | − | 0.525938i | ||||
\(606\) | −8.06467 | + | 3.59062i | −0.327605 | + | 0.145859i | ||||
\(607\) | −21.5323 | − | 5.76957i | −0.873971 | − | 0.234180i | −0.206167 | − | 0.978517i | \(-0.566099\pi\) |
−0.667804 | + | 0.744337i | \(0.732766\pi\) | |||||||
\(608\) | −3.35461 | − | 21.1802i | −0.136047 | − | 0.858969i | ||||
\(609\) | −23.8977 | + | 27.4503i | −0.968384 | + | 1.11234i | ||||
\(610\) | 21.3990 | − | 21.6277i | 0.866421 | − | 0.875682i | ||||
\(611\) | −3.84284 | + | 4.26790i | −0.155465 | + | 0.172661i | ||||
\(612\) | −2.19655 | − | 0.115116i | −0.0887903 | − | 0.00465330i | ||||
\(613\) | −20.6108 | − | 1.08016i | −0.832461 | − | 0.0436274i | −0.368657 | − | 0.929565i | \(-0.620182\pi\) |
−0.463804 | + | 0.885938i | \(0.653516\pi\) | |||||||
\(614\) | −18.8488 | + | 20.9338i | −0.760677 | + | 0.844818i | ||||
\(615\) | 17.9246 | + | 34.7216i | 0.722791 | + | 1.40011i | ||||
\(616\) | 8.51891 | − | 9.78531i | 0.343237 | − | 0.394261i | ||||
\(617\) | −1.89563 | − | 11.9685i | −0.0763151 | − | 0.481835i | −0.996013 | − | 0.0892079i | \(-0.971566\pi\) |
0.919698 | − | 0.392627i | \(-0.128434\pi\) | |||||||
\(618\) | 21.9168 | + | 5.87259i | 0.881624 | + | 0.236230i | ||||
\(619\) | 14.7437 | − | 6.56430i | 0.592597 | − | 0.263841i | −0.0884500 | − | 0.996081i | \(-0.528191\pi\) |
0.681048 | + | 0.732239i | \(0.261525\pi\) | |||||||
\(620\) | −6.68043 | + | 3.01697i | −0.268293 | + | 0.121165i | ||||
\(621\) | 3.45604 | − | 7.76240i | 0.138686 | − | 0.311494i | ||||
\(622\) | −1.57807 | + | 9.96354i | −0.0632749 | + | 0.399502i | ||||
\(623\) | −5.79335 | − | 32.9979i | −0.232106 | − | 1.32203i | ||||
\(624\) | − | 20.4181i | − | 0.817376i | ||||||
\(625\) | 23.0497 | + | 9.68055i | 0.921987 | + | 0.387222i | ||||
\(626\) | −10.4927 | − | 6.05796i | −0.419372 | − | 0.242125i | ||||
\(627\) | −16.7216 | − | 25.7490i | −0.667795 | − | 1.02831i | ||||
\(628\) | −0.794388 | − | 2.06945i | −0.0316995 | − | 0.0825801i | ||||
\(629\) | 10.8523 | − | 7.88463i | 0.432708 | − | 0.314381i | ||||
\(630\) | 3.79602 | − | 6.92276i | 0.151237 | − | 0.275810i | ||||
\(631\) | 32.3943 | + | 23.5358i | 1.28960 | + | 0.936947i | 0.999797 | − | 0.0201409i | \(-0.00641148\pi\) |
0.289799 | + | 0.957087i | \(0.406411\pi\) | |||||||
\(632\) | −1.62756 | + | 6.07412i | −0.0647407 | + | 0.241616i | ||||
\(633\) | −45.6809 | − | 17.5352i | −1.81565 | − | 0.696963i | ||||
\(634\) | −16.6358 | + | 14.9789i | −0.660691 | + | 0.594889i | ||||
\(635\) | 4.62476 | + | 2.96853i | 0.183528 | + | 0.117802i | ||||
\(636\) | −8.88511 | + | 2.88695i | −0.352318 | + | 0.114475i | ||||
\(637\) | 10.0217 | + | 11.5630i | 0.397074 | + | 0.458143i | ||||
\(638\) | 10.5295 | + | 20.6654i | 0.416868 | + | 0.818149i | ||||
\(639\) | −4.18509 | − | 3.76827i | −0.165560 | − | 0.149071i | ||||
\(640\) | 8.05481 | + | 29.4342i | 0.318395 | + | 1.16349i | ||||
\(641\) | −24.6903 | − | 27.4213i | −0.975207 | − | 1.08308i | −0.996524 | − | 0.0833043i | \(-0.973453\pi\) |
0.0213172 | − | 0.999773i | \(-0.493214\pi\) | |||||||
\(642\) | 22.6860 | + | 28.0148i | 0.895344 | + | 1.10566i | ||||
\(643\) | −15.3835 | − | 15.3835i | −0.606667 | − | 0.606667i | 0.335406 | − | 0.942074i | \(-0.391126\pi\) |
−0.942074 | + | 0.335406i | \(0.891126\pi\) | |||||||
\(644\) | −2.39733 | − | 1.33117i | −0.0944681 | − | 0.0524555i | ||||
\(645\) | 6.11305 | − | 0.0324948i | 0.240701 | − | 0.00127948i | ||||
\(646\) | 55.2002 | + | 24.5767i | 2.17182 | + | 0.966958i | ||||
\(647\) | 27.3587 | + | 22.1547i | 1.07558 | + | 0.870990i | 0.992091 | − | 0.125519i | \(-0.0400596\pi\) |
0.0834914 | + | 0.996508i | \(0.473393\pi\) | |||||||
\(648\) | −21.3522 | + | 13.8663i | −0.838793 | + | 0.544718i | ||||
\(649\) | 10.9605 | + | 18.9842i | 0.430238 | + | 0.745193i | ||||
\(650\) | 16.4303 | − | 5.53233i | 0.644451 | − | 0.216996i | ||||
\(651\) | 26.3213 | − | 19.8041i | 1.03161 | − | 0.776184i | ||||
\(652\) | 3.57373 | − | 7.01384i | 0.139958 | − | 0.274683i | ||||
\(653\) | 28.9416 | − | 11.1096i | 1.13257 | − | 0.434754i | 0.281374 | − | 0.959598i | \(-0.409210\pi\) |
0.851198 | + | 0.524844i | \(0.175876\pi\) | |||||||
\(654\) | 3.17668 | + | 30.2241i | 0.124218 | + | 1.18186i | ||||
\(655\) | −2.52537 | + | 12.1994i | −0.0986744 | + | 0.476672i | ||||
\(656\) | −42.2597 | − | 4.44167i | −1.64996 | − | 0.173418i | ||||
\(657\) | 4.92657 | − | 4.92657i | 0.192204 | − | 0.192204i | ||||
\(658\) | 2.67528 | − | 10.6964i | 0.104293 | − | 0.416989i | ||||
\(659\) | 6.75492 | + | 2.19481i | 0.263134 | + | 0.0854976i | 0.437613 | − | 0.899163i | \(-0.355824\pi\) |
−0.174479 | + | 0.984661i | \(0.555824\pi\) | |||||||
\(660\) | −2.98454 | − | 3.64580i | −0.116173 | − | 0.141913i | ||||
\(661\) | −0.998752 | + | 4.69876i | −0.0388469 | + | 0.182760i | −0.993293 | − | 0.115622i | \(-0.963114\pi\) |
0.954446 | + | 0.298383i | \(0.0964472\pi\) | |||||||
\(662\) | 0.854740 | − | 16.3094i | 0.0332204 | − | 0.633884i | ||||
\(663\) | 18.2029 | + | 11.8211i | 0.706941 | + | 0.459093i | ||||
\(664\) | −2.12387 | − | 6.53659i | −0.0824220 | − | 0.253669i | ||||
\(665\) | −33.9463 | + | 28.7502i | −1.31638 | + | 1.11489i | ||||
\(666\) | 1.09196 | − | 3.36069i | 0.0423124 | − | 0.130224i | ||||
\(667\) | −10.9546 | + | 8.87088i | −0.424165 | + | 0.343482i | ||||
\(668\) | −8.42942 | + | 2.25866i | −0.326144 | + | 0.0873901i | ||||
\(669\) | −10.3844 | − | 23.3238i | −0.401484 | − | 0.901749i | ||||
\(670\) | −4.68057 | + | 10.6649i | −0.180826 | + | 0.412022i | ||||
\(671\) | 10.5039 | + | 14.4574i | 0.405498 | + | 0.558120i | ||||
\(672\) | 6.93307 | + | 13.0624i | 0.267449 | + | 0.503894i | ||||
\(673\) | −11.7311 | − | 5.97729i | −0.452201 | − | 0.230408i | 0.213030 | − | 0.977046i | \(-0.431667\pi\) |
−0.665231 | + | 0.746638i | \(0.731667\pi\) | |||||||
\(674\) | 35.3100 | − | 20.3863i | 1.36009 | − | 0.785249i | ||||
\(675\) | −16.5805 | − | 13.1372i | −0.638183 | − | 0.505652i | ||||
\(676\) | −2.12143 | + | 3.67442i | −0.0815934 | + | 0.141324i | ||||
\(677\) | −2.48338 | − | 47.3857i | −0.0954440 | − | 1.82118i | −0.457706 | − | 0.889104i | \(-0.651329\pi\) |
0.362261 | − | 0.932077i | \(-0.382005\pi\) | |||||||
\(678\) | 28.1453 | + | 4.45777i | 1.08091 | + | 0.171200i | ||||
\(679\) | −6.08102 | − | 6.53074i | −0.233368 | − | 0.250627i | ||||
\(680\) | −25.4028 | − | 8.10485i | −0.974154 | − | 0.310807i | ||||
\(681\) | −0.634543 | + | 6.03727i | −0.0243157 | + | 0.231349i | ||||
\(682\) | −5.43288 | − | 20.2758i | −0.208036 | − | 0.776400i | ||||
\(683\) | −6.39766 | + | 16.6665i | −0.244800 | + | 0.637725i | −0.999839 | − | 0.0179550i | \(-0.994284\pi\) |
0.755039 | + | 0.655680i | \(0.227618\pi\) | |||||||
\(684\) | 3.19339 | − | 0.678776i | 0.122102 | − | 0.0259537i | ||||
\(685\) | −20.0738 | − | 3.07009i | −0.766981 | − | 0.117302i | ||||
\(686\) | −27.4024 | − | 10.5884i | −1.04623 | − | 0.404266i | ||||
\(687\) | 0.932248 | − | 0.475004i | 0.0355675 | − | 0.0181225i | ||||
\(688\) | −3.62062 | + | 5.57526i | −0.138035 | + | 0.212555i | ||||
\(689\) | 19.7497 | + | 4.19792i | 0.752403 | + | 0.159928i | ||||
\(690\) | 8.72834 | − | 10.8965i | 0.332282 | − | 0.414824i | ||||
\(691\) | 1.63598 | + | 7.69670i | 0.0622357 | + | 0.292796i | 0.998248 | − | 0.0591718i | \(-0.0188460\pi\) |
−0.936012 | + | 0.351968i | \(0.885513\pi\) | |||||||
\(692\) | −9.55468 | + | 1.51331i | −0.363214 | + | 0.0575275i | ||||
\(693\) | 3.65214 | + | 2.85770i | 0.138733 | + | 0.108555i | ||||
\(694\) | 4.25473 | − | 5.85614i | 0.161507 | − | 0.222296i | ||||
\(695\) | −38.9251 | + | 8.49029i | −1.47651 | + | 0.322055i | ||||
\(696\) | 32.2024 | − | 3.38461i | 1.22063 | − | 0.128293i | ||||
\(697\) | 28.4261 | − | 35.1033i | 1.07672 | − | 1.32963i | ||||
\(698\) | −56.1071 | + | 2.94045i | −2.12368 | + | 0.111298i | ||||
\(699\) | −48.6441 | −1.83989 | ||||||||
\(700\) | −4.69347 | + | 4.95746i | −0.177396 | + | 0.187374i | ||||
\(701\) | 21.0860 | 0.796406 | 0.398203 | − | 0.917297i | \(-0.369634\pi\) | ||||
0.398203 | + | 0.917297i | \(0.369634\pi\) | |||||||
\(702\) | −14.6497 | + | 0.767757i | −0.552917 | + | 0.0289771i | ||||
\(703\) | −12.5298 | + | 15.4730i | −0.472571 | + | 0.583577i | ||||
\(704\) | −10.3758 | + | 1.09054i | −0.391052 | + | 0.0411012i | ||||
\(705\) | 10.5434 | + | 4.62723i | 0.397087 | + | 0.174271i | ||||
\(706\) | 9.96981 | − | 13.7223i | 0.375219 | − | 0.516444i | ||||
\(707\) | −6.96785 | + | 2.80922i | −0.262053 | + | 0.105652i | ||||
\(708\) | −10.5117 | + | 1.66489i | −0.395054 | + | 0.0625703i | ||||
\(709\) | 0.596764 | + | 2.80755i | 0.0224119 | + | 0.105440i | 0.987932 | − | 0.154890i | \(-0.0495022\pi\) |
−0.965520 | + | 0.260329i | \(0.916169\pi\) | |||||||
\(710\) | 13.0362 | + | 19.8422i | 0.489239 | + | 0.744666i | ||||
\(711\) | −2.19855 | − | 0.467316i | −0.0824521 | − | 0.0175257i | ||||
\(712\) | −16.2336 | + | 24.9976i | −0.608381 | + | 0.936824i | ||||
\(713\) | 11.3671 | − | 5.79180i | 0.425699 | − | 0.216905i | ||||
\(714\) | −41.5084 | − | 3.66234i | −1.55341 | − | 0.137060i | ||||
\(715\) | 1.64639 | + | 10.0489i | 0.0615714 | + | 0.375806i | ||||
\(716\) | 4.95146 | − | 1.05247i | 0.185045 | − | 0.0393325i | ||||
\(717\) | −19.1619 | + | 49.9184i | −0.715613 | + | 1.86424i | ||||
\(718\) | −1.56704 | − | 5.84827i | −0.0584814 | − | 0.218256i | ||||
\(719\) | 0.593697 | − | 5.64865i | 0.0221412 | − | 0.210659i | −0.977858 | − | 0.209270i | \(-0.932891\pi\) |
0.999999 | − | 0.00138897i | \(-0.000442124\pi\) | |||||||
\(720\) | −8.51216 | + | 2.81588i | −0.317230 | + | 0.104942i | ||||
\(721\) | 18.4620 | + | 5.65929i | 0.687562 | + | 0.210763i | ||||
\(722\) | −58.8143 | − | 9.31526i | −2.18884 | − | 0.346678i | ||||
\(723\) | −1.96346 | − | 37.4651i | −0.0730220 | − | 1.39334i | ||||
\(724\) | 0.216584 | − | 0.375135i | 0.00804929 | − | 0.0139418i | ||||
\(725\) | 14.6138 | + | 31.9058i | 0.542742 | + | 1.18495i | ||||
\(726\) | −17.9310 | + | 10.3525i | −0.665481 | + | 0.384216i | ||||
\(727\) | 37.1735 | + | 18.9408i | 1.37869 | + | 0.702477i | 0.976988 | − | 0.213294i | \(-0.0684191\pi\) |
0.401701 | + | 0.915771i | \(0.368419\pi\) | |||||||
\(728\) | 0.485123 | − | 13.6047i | 0.0179799 | − | 0.504223i | ||||
\(729\) | 9.27315 | + | 12.7634i | 0.343450 | + | 0.472718i | ||||
\(730\) | −25.3586 | + | 14.8211i | −0.938563 | + | 0.548552i | ||||
\(731\) | −2.87423 | − | 6.45562i | −0.106307 | − | 0.238770i | ||||
\(732\) | −8.38045 | + | 2.24553i | −0.309750 | + | 0.0829973i | ||||
\(733\) | −26.8750 | + | 21.7630i | −0.992652 | + | 0.803834i | −0.980585 | − | 0.196093i | \(-0.937175\pi\) |
−0.0120672 | + | 0.999927i | \(0.503841\pi\) | |||||||
\(734\) | −4.08138 | + | 12.5612i | −0.150647 | + | 0.463642i | ||||
\(735\) | 15.6991 | − | 26.3565i | 0.579070 | − | 0.972175i | ||||
\(736\) | 1.76991 | + | 5.44722i | 0.0652397 | + | 0.200787i | ||||
\(737\) | −5.73720 | − | 3.72578i | −0.211333 | − | 0.137241i | ||||
\(738\) | 0.622739 | − | 11.8826i | 0.0229233 | − | 0.437404i | ||||
\(739\) | 1.72889 | − | 8.13381i | 0.0635984 | − | 0.299207i | −0.934840 | − | 0.355069i | \(-0.884457\pi\) |
0.998438 | + | 0.0558621i | \(0.0177907\pi\) | |||||||
\(740\) | −1.65047 | + | 2.57133i | −0.0606726 | + | 0.0945238i | ||||
\(741\) | −30.6384 | − | 9.95501i | −1.12553 | − | 0.365706i | ||||
\(742\) | −37.2701 | + | 10.6573i | −1.36823 | + | 0.391242i | ||||
\(743\) | 10.0390 | − | 10.0390i | 0.368295 | − | 0.368295i | −0.498560 | − | 0.866855i | \(-0.666138\pi\) |
0.866855 | + | 0.498560i | \(0.166138\pi\) | |||||||
\(744\) | −29.1447 | − | 3.06324i | −1.06850 | − | 0.112304i | ||||
\(745\) | −13.4732 | − | 29.8334i | −0.493619 | − | 1.09301i | ||||
\(746\) | −2.89015 | − | 27.4979i | −0.105816 | − | 1.00677i | ||||
\(747\) | 2.29345 | − | 0.880372i | 0.0839128 | − | 0.0322111i | ||||
\(748\) | −2.47264 | + | 4.85283i | −0.0904086 | + | 0.177437i | ||||
\(749\) | 18.4447 | + | 24.5145i | 0.673954 | + | 0.895740i | ||||
\(750\) | −20.8761 | − | 27.7906i | −0.762288 | − | 1.01477i | ||||
\(751\) | 19.9959 | + | 34.6339i | 0.729661 | + | 1.26381i | 0.957026 | + | 0.290000i | \(0.0936555\pi\) |
−0.227365 | + | 0.973810i | \(0.573011\pi\) | |||||||
\(752\) | −10.5010 | + | 6.81943i | −0.382932 | + | 0.248679i | ||||
\(753\) | 11.4193 | + | 9.24716i | 0.416142 | + | 0.336985i | ||||
\(754\) | 22.2322 | + | 9.89842i | 0.809650 | + | 0.360479i | ||||
\(755\) | −29.2466 | − | 21.0123i | −1.06439 | − | 0.764715i | ||||
\(756\) | 4.95371 | − | 2.97152i | 0.180165 | − | 0.108073i | ||||
\(757\) | 12.1964 | + | 12.1964i | 0.443287 | + | 0.443287i | 0.893115 | − | 0.449828i | \(-0.148515\pi\) |
−0.449828 | + | 0.893115i | \(0.648515\pi\) | |||||||
\(758\) | −10.8978 | − | 13.4577i | −0.395826 | − | 0.488805i | ||||
\(759\) | 5.48704 | + | 6.09398i | 0.199167 | + | 0.221197i | ||||
\(760\) | 39.5332 | + | 1.86119i | 1.43402 | + | 0.0675123i | ||||
\(761\) | 7.43933 | + | 6.69840i | 0.269676 | + | 0.242817i | 0.792862 | − | 0.609401i | \(-0.208590\pi\) |
−0.523186 | + | 0.852218i | \(0.675257\pi\) | |||||||
\(762\) | −3.46873 | − | 6.80777i | −0.125659 | − | 0.246619i | ||||
\(763\) | 1.78513 | + | 25.8018i | 0.0646261 | + | 0.934088i | ||||
\(764\) | 1.33536 | − | 0.433884i | 0.0483116 | − | 0.0156974i | ||||
\(765\) | 2.41776 | − | 9.21893i | 0.0874141 | − | 0.333311i | ||||
\(766\) | 19.5597 | − | 17.6116i | 0.706721 | − | 0.636334i | ||||
\(767\) | 21.4735 | + | 8.24291i | 0.775364 | + | 0.297634i | ||||
\(768\) | 5.90038 | − | 22.0205i | 0.212912 | − | 0.794597i | ||||
\(769\) | 33.7752 | + | 24.5391i | 1.21796 | + | 0.884902i | 0.995929 | − | 0.0901368i | \(-0.0287304\pi\) |
0.222034 | + | 0.975039i | \(0.428730\pi\) | |||||||
\(770\) | −11.8367 | − | 15.5591i | −0.426565 | − | 0.560710i | ||||
\(771\) | −21.7061 | + | 15.7704i | −0.781728 | + | 0.567959i | ||||
\(772\) | 1.29638 | + | 3.37719i | 0.0466578 | + | 0.121548i | ||||
\(773\) | 15.5656 | + | 23.9689i | 0.559854 | + | 0.862100i | 0.999347 | − | 0.0361462i | \(-0.0115082\pi\) |
−0.439492 | + | 0.898246i | \(0.644842\pi\) | |||||||
\(774\) | −1.61213 | − | 0.930761i | −0.0579466 | − | 0.0334555i | ||||
\(775\) | −6.93343 | − | 30.9952i | −0.249056 | − | 1.11338i | ||||
\(776\) | 7.93899i | 0.284993i | ||||||||
\(777\) | 4.70558 | − | 12.8989i | 0.168812 | − | 0.462745i | ||||
\(778\) | 4.77008 | − | 30.1171i | 0.171016 | − | 1.07975i | ||||
\(779\) | −27.2690 | + | 61.2473i | −0.977015 | + | 2.19441i | ||||
\(780\) | −4.84116 | − | 1.00216i | −0.173341 | − | 0.0358829i | ||||
\(781\) | −12.7391 | + | 5.67181i | −0.455841 | + | 0.202953i | ||||
\(782\) | −15.5888 | − | 4.17702i | −0.557456 | − | 0.149370i | ||||
\(783\) | −4.64530 | − | 29.3293i | −0.166009 | − | 1.04814i | ||||
\(784\) | 14.5801 | + | 30.0058i | 0.520718 | + | 1.07164i | ||||
\(785\) | 9.47849 | − | 1.55294i | 0.338302 | − | 0.0554267i | ||||
\(786\) | 11.5899 | − | 12.8719i | 0.413397 | − | 0.459124i | ||||
\(787\) | −34.4848 | − | 1.80727i | −1.22925 | − | 0.0644222i | −0.573375 | − | 0.819293i | \(-0.694366\pi\) |
−0.655874 | + | 0.754870i | \(0.727700\pi\) | |||||||
\(788\) | 7.63836 | + | 0.400310i | 0.272105 | + | 0.0142604i | ||||
\(789\) | 25.6612 | − | 28.4996i | 0.913563 | − | 1.01461i | ||||
\(790\) | 8.46559 | + | 4.25690i | 0.301192 | + | 0.151454i | ||||
\(791\) | 23.8022 | + | 4.64488i | 0.846309 | + | 0.165153i | ||||
\(792\) | −0.645396 | − | 4.07487i | −0.0229332 | − | 0.144794i | ||||
\(793\) | 18.1120 | + | 4.85309i | 0.643175 | + | 0.172338i | ||||
\(794\) | 1.76300 | − | 0.784939i | 0.0625666 | − | 0.0278564i | ||||
\(795\) | −4.44529 | − | 40.2355i | −0.157658 | − | 1.42701i | ||||
\(796\) | −4.41090 | + | 9.90705i | −0.156340 | + | 0.351146i | ||||
\(797\) | 7.35212 | − | 46.4194i | 0.260425 | − | 1.64426i | −0.417172 | − | 0.908828i | \(-0.636979\pi\) |
0.677597 | − | 0.735433i | \(-0.263021\pi\) | |||||||
\(798\) | 60.9170 | − | 10.6950i | 2.15644 | − | 0.378600i | ||||
\(799\) | − | 13.3099i | − | 0.470869i | ||||||
\(800\) | 14.2310 | − | 0.897616i | 0.503143 | − | 0.0317355i | ||||
\(801\) | −9.22634 | − | 5.32683i | −0.325997 | − | 0.188214i | ||||
\(802\) | 4.09794 | + | 6.31027i | 0.144703 | + | 0.222824i | ||||
\(803\) | −6.18253 | − | 16.1060i | −0.218177 | − | 0.568370i | ||||
\(804\) | 2.68694 | − | 1.95218i | 0.0947612 | − | 0.0688480i | ||||
\(805\) | 7.75387 | − | 9.00273i | 0.273288 | − | 0.317305i | ||||
\(806\) | −17.8190 | − | 12.9462i | −0.627646 | − | 0.456012i | ||||
\(807\) | 4.68401 | − | 17.4810i | 0.164885 | − | 0.615359i | ||||
\(808\) | 6.23999 | + | 2.39531i | 0.219522 | + | 0.0842667i | ||||
\(809\) | −24.0985 | + | 21.6984i | −0.847259 | + | 0.762875i | −0.973394 | − | 0.229138i | \(-0.926409\pi\) |
0.126135 | + | 0.992013i | \(0.459743\pi\) | |||||||
\(810\) | 13.9384 | + | 35.7418i | 0.489747 | + | 1.25584i | ||||
\(811\) | −8.85993 | + | 2.87877i | −0.311114 | + | 0.101087i | −0.460413 | − | 0.887705i | \(-0.652299\pi\) |
0.149298 | + | 0.988792i | \(0.452299\pi\) | |||||||
\(812\) | −9.56015 | + | 0.661432i | −0.335495 | + | 0.0232117i | ||||
\(813\) | −0.984289 | − | 1.93178i | −0.0345205 | − | 0.0677503i | ||||
\(814\) | −6.50239 | − | 5.85478i | −0.227909 | − | 0.205210i | ||||
\(815\) | 26.6210 | + | 21.3240i | 0.932493 | + | 0.746946i | ||||
\(816\) | 31.6634 | + | 35.1658i | 1.10844 | + | 1.23105i | ||||
\(817\) | 6.60071 | + | 8.15120i | 0.230930 | + | 0.285174i | ||||
\(818\) | 27.8073 | + | 27.8073i | 0.972258 | + | 0.972258i | ||||
\(819\) | 4.86514 | − | 0.0813352i | 0.170002 | − | 0.00284208i | ||||
\(820\) | −3.12731 | + | 9.80185i | −0.109210 | + | 0.342296i | ||||
\(821\) | −33.9829 | − | 15.1302i | −1.18601 | − | 0.528047i | −0.283610 | − | 0.958940i | \(-0.591532\pi\) |
−0.902403 | + | 0.430893i | \(0.858199\pi\) | |||||||
\(822\) | 21.9417 | + | 17.7680i | 0.765304 | + | 0.619731i | ||||
\(823\) | −25.0106 | + | 16.2420i | −0.871813 | + | 0.566162i | −0.901199 | − | 0.433406i | \(-0.857312\pi\) |
0.0293856 | + | 0.999568i | \(0.490645\pi\) | |||||||
\(824\) | −8.58974 | − | 14.8779i | −0.299238 | − | 0.518295i | ||||
\(825\) | 18.0907 | − | 9.46125i | 0.629837 | − | 0.329399i | ||||
\(826\) | −43.8342 | + | 5.34938i | −1.52519 | + | 0.186129i | ||||
\(827\) | 13.1390 | − | 25.7867i | 0.456887 | − | 0.896691i | −0.541543 | − | 0.840673i | \(-0.682160\pi\) |
0.998430 | − | 0.0560176i | \(-0.0178403\pi\) | |||||||
\(828\) | −0.814064 | + | 0.312490i | −0.0282907 | + | 0.0108598i | ||||
\(829\) | 0.985667 | + | 9.37799i | 0.0342336 | + | 0.325711i | 0.998214 | + | 0.0597381i | \(0.0190266\pi\) |
−0.963980 | + | 0.265973i | \(0.914307\pi\) | |||||||
\(830\) | −10.2939 | + | 1.13728i | −0.357305 | + | 0.0394756i | ||||
\(831\) | 37.8941 | + | 3.98283i | 1.31453 | + | 0.138163i | ||||
\(832\) | −7.74074 | + | 7.74074i | −0.268362 | + | 0.268362i | ||||
\(833\) | −35.1916 | − | 4.37365i | −1.21932 | − | 0.151538i | ||||
\(834\) | 52.6799 | + | 17.1167i | 1.82416 | + | 0.592704i | ||||
\(835\) | −2.17968 | − | 37.7502i | −0.0754308 | − | 1.30640i | ||||
\(836\) | 1.68075 | − | 7.90732i | 0.0581300 | − | 0.273480i | ||||
\(837\) | −1.40654 | + | 26.8385i | −0.0486173 | + | 0.927673i | ||||
\(838\) | 32.3892 | + | 21.0338i | 1.11887 | + | 0.726601i | ||||
\(839\) | 16.9096 | + | 52.0423i | 0.583784 | + | 1.79670i | 0.604101 | + | 0.796907i | \(0.293532\pi\) |
−0.0203179 | + | 0.999794i | \(0.506468\pi\) | |||||||
\(840\) | −26.2011 | + | 7.64304i | −0.904023 | + | 0.263710i | ||||
\(841\) | −6.26123 | + | 19.2701i | −0.215905 | + | 0.664486i | ||||
\(842\) | −9.14358 | + | 7.40433i | −0.315109 | + | 0.255170i | ||||
\(843\) | −3.24803 | + | 0.870306i | −0.111868 | + | 0.0299749i | ||||
\(844\) | −5.24025 | − | 11.7698i | −0.180377 | − | 0.405133i | ||||
\(845\) | −13.7273 | − | 12.2287i | −0.472235 | − | 0.420679i | ||||
\(846\) | −2.06088 | − | 2.83656i | −0.0708544 | − | 0.0975228i | ||||
\(847\) | −15.5642 | + | 8.26091i | −0.534791 | + | 0.283848i | ||||
\(848\) | 39.2224 | + | 19.9848i | 1.34690 | + | 0.686282i | ||||
\(849\) | 44.8078 | − | 25.8698i | 1.53780 | − | 0.887849i | ||||
\(850\) | −19.7185 | + | 35.0077i | −0.676339 | + | 1.20075i | ||||
\(851\) | 2.65890 | − | 4.60535i | 0.0911460 | − | 0.157870i | ||||
\(852\) | −0.354324 | − | 6.76091i | −0.0121389 | − | 0.231625i | ||||
\(853\) | 57.0510 | + | 9.03599i | 1.95339 | + | 0.309386i | 0.999970 | + | 0.00773601i | \(0.00246247\pi\) |
0.953419 | + | 0.301650i | \(0.0975375\pi\) | |||||||
\(854\) | −35.0826 | + | 8.07223i | −1.20050 | + | 0.276226i | ||||
\(855\) | 0.0751944 | + | 14.1459i | 0.00257159 | + | 0.483778i | ||||
\(856\) | 2.85296 | − | 27.1441i | 0.0975123 | − | 0.927768i | ||||
\(857\) | −3.64690 | − | 13.6104i | −0.124576 | − | 0.464923i | 0.875248 | − | 0.483674i | \(-0.160698\pi\) |
−0.999824 | + | 0.0187505i | \(0.994031\pi\) | |||||||
\(858\) | 5.07358 | − | 13.2171i | 0.173209 | − | 0.451226i | ||||
\(859\) | −20.5048 | + | 4.35843i | −0.699615 | + | 0.148708i | −0.543969 | − | 0.839105i | \(-0.683079\pi\) |
−0.155646 | + | 0.987813i | \(0.549746\pi\) | |||||||
\(860\) | 1.14420 | + | 1.13210i | 0.0390169 | + | 0.0386043i | ||||
\(861\) | 4.06354 | − | 46.0556i | 0.138485 | − | 1.56957i | ||||
\(862\) | 25.5128 | − | 12.9994i | 0.868971 | − | 0.442763i | ||||
\(863\) | 8.32996 | − | 12.8270i | 0.283555 | − | 0.436637i | −0.667979 | − | 0.744180i | \(-0.732840\pi\) |
0.951534 | + | 0.307544i | \(0.0995070\pi\) | |||||||
\(864\) | −11.8021 | − | 2.50861i | −0.401516 | − | 0.0853448i | ||||
\(865\) | 1.97120 | − | 41.8700i | 0.0670227 | − | 1.42362i | ||||
\(866\) | 8.32500 | + | 39.1660i | 0.282895 | + | 1.33092i | ||||
\(867\) | −16.7735 | + | 2.65667i | −0.569659 | + | 0.0902252i | ||||
\(868\) | 8.58779 | + | 1.21339i | 0.291489 | + | 0.0411851i | ||||
\(869\) | −3.27136 | + | 4.50263i | −0.110973 | + | 0.152741i | ||||
\(870\) | 4.84206 | − | 48.5503i | 0.164161 | − | 1.64601i | ||||
\(871\) | −7.13862 | + | 0.750299i | −0.241883 | + | 0.0254229i | ||||
\(872\) | 14.4806 | − | 17.8821i | 0.490376 | − | 0.605564i | ||||
\(873\) | −2.83375 | + | 0.148511i | −0.0959080 | + | 0.00502632i | ||||
\(874\) | 23.9541 | 0.810261 | ||||||||
\(875\) | −16.9122 | − | 24.2688i | −0.571737 | − | 0.820437i | ||||
\(876\) | 8.37585 | 0.282994 | ||||||||
\(877\) | −14.9462 | + | 0.783299i | −0.504699 | + | 0.0264501i | −0.302987 | − | 0.952995i | \(-0.597984\pi\) |
−0.201712 | + | 0.979445i | \(0.564650\pi\) | |||||||
\(878\) | 27.8456 | − | 34.3865i | 0.939745 | − | 1.16049i | ||||
\(879\) | 11.9578 | − | 1.25681i | 0.403326 | − | 0.0423912i | ||||
\(880\) | −2.20321 | + | 22.0911i | −0.0742703 | + | 0.744692i | ||||
\(881\) | −10.0697 | + | 13.8597i | −0.339257 | + | 0.466947i | −0.944224 | − | 0.329303i | \(-0.893186\pi\) |
0.604967 | + | 0.796250i | \(0.293186\pi\) | |||||||
\(882\) | −8.17714 | + | 4.51692i | −0.275339 | + | 0.152093i | ||||
\(883\) | 26.9691 | − | 4.27148i | 0.907581 | − | 0.143747i | 0.314845 | − | 0.949143i | \(-0.398048\pi\) |
0.592736 | + | 0.805397i | \(0.298048\pi\) | |||||||
\(884\) | 1.18818 | + | 5.58997i | 0.0399630 | + | 0.188011i | ||||
\(885\) | 2.16864 | − | 46.0638i | 0.0728979 | − | 1.54842i | ||||
\(886\) | 47.5113 | + | 10.0988i | 1.59617 | + | 0.339277i | ||||
\(887\) | −17.2800 | + | 26.6089i | −0.580206 | + | 0.893439i | −0.999899 | − | 0.0142273i | \(-0.995471\pi\) |
0.419693 | + | 0.907666i | \(0.362138\pi\) | |||||||
\(888\) | −10.8841 | + | 5.54572i | −0.365246 | + | 0.186102i | ||||
\(889\) | −2.74368 | − | 5.89517i | −0.0920200 | − | 0.197718i | ||||
\(890\) | 31.9268 | + | 31.5892i | 1.07019 | + | 1.05887i | ||||
\(891\) | −22.0406 | + | 4.68488i | −0.738389 | + | 0.156949i | ||||
\(892\) | 2.40909 | − | 6.27591i | 0.0806625 | − | 0.210133i | ||||
\(893\) | 5.11306 | + | 19.0822i | 0.171102 | + | 0.638561i | ||||
\(894\) | −4.75729 | + | 45.2626i | −0.159108 | + | 1.51381i | ||||
\(895\) | 0.116591 | + | 21.9336i | 0.00389722 | + | 0.733161i | ||||
\(896\) | 10.5823 | − | 34.5220i | 0.353529 | − | 1.15330i | ||||
\(897\) | 8.49842 | + | 1.34602i | 0.283754 | + | 0.0449422i | ||||
\(898\) | −2.52554 | − | 48.1901i | −0.0842783 | − | 1.60813i | ||||
\(899\) | 22.2922 | − | 38.6112i | 0.743485 | − | 1.28775i | ||||
\(900\) | 0.249859 | + | 2.15646i | 0.00832863 | + | 0.0718820i | ||||
\(901\) | −40.5246 | + | 23.3969i | −1.35007 | + | 0.779463i | ||||
\(902\) | −26.2521 | − | 13.3761i | −0.874099 | − | 0.445376i | ||||
\(903\) | −6.13125 | − | 3.83751i | −0.204035 | − | 0.127704i | ||||
\(904\) | −12.6818 | − | 17.4550i | −0.421790 | − | 0.580544i | ||||
\(905\) | 1.40147 | + | 1.24847i | 0.0465866 | + | 0.0415005i | ||||
\(906\) | 20.3648 | + | 45.7400i | 0.676574 | + | 1.51961i | ||||
\(907\) | 12.3572 | − | 3.31110i | 0.410314 | − | 0.109943i | −0.0477567 | − | 0.998859i | \(-0.515207\pi\) |
0.458071 | + | 0.888916i | \(0.348541\pi\) | |||||||
\(908\) | −1.24218 | + | 1.00590i | −0.0412233 | + | 0.0333819i | ||||
\(909\) | −0.738256 | + | 2.27212i | −0.0244864 | + | 0.0753614i | ||||
\(910\) | −19.9263 | − | 4.87139i | −0.660551 | − | 0.161485i | ||||
\(911\) | −2.87409 | − | 8.84554i | −0.0952228 | − | 0.293066i | 0.892089 | − | 0.451860i | \(-0.149239\pi\) |
−0.987312 | + | 0.158794i | \(0.949239\pi\) | |||||||
\(912\) | −58.9046 | − | 38.2531i | −1.95052 | − | 1.26669i | ||||
\(913\) | 0.318357 | − | 6.07461i | 0.0105361 | − | 0.201040i | ||||
\(914\) | 13.3129 | − | 62.6323i | 0.440351 | − | 2.07169i | ||||
\(915\) | −2.16701 | − | 37.5308i | −0.0716392 | − | 1.24073i | ||||
\(916\) | 0.262007 | + | 0.0851313i | 0.00865696 | + | 0.00281282i | ||||
\(917\) | 10.2475 | − | 10.5960i | 0.338402 | − | 0.349909i | ||||
\(918\) | 24.0404 | − | 24.0404i | 0.793450 | − | 0.793450i | ||||
\(919\) | −48.3968 | − | 5.08671i | −1.59646 | − | 0.167795i | −0.735883 | − | 0.677108i | \(-0.763233\pi\) |
−0.860581 | + | 0.509313i | \(0.829899\pi\) | |||||||
\(920\) | −10.5067 | + | 1.16080i | −0.346397 | + | 0.0382705i | ||||
\(921\) | 3.63822 | + | 34.6154i | 0.119883 | + | 1.14062i | ||||
\(922\) | 26.4581 | − | 10.1563i | 0.871350 | − | 0.334480i | ||||
\(923\) | −6.64272 | + | 13.0371i | −0.218648 | + | 0.429121i | ||||
\(924\) | 0.675327 | + | 5.53381i | 0.0222166 | + | 0.182049i | ||||
\(925\) | −9.46054 | − | 9.26150i | −0.311061 | − | 0.304516i | ||||
\(926\) | −27.1322 | − | 46.9943i | −0.891619 | − | 1.54433i | ||||
\(927\) | 5.14984 | − | 3.34434i | 0.169143 | − | 0.109843i | ||||
\(928\) | 15.5556 | + | 12.5967i | 0.510637 | + | 0.413506i | ||||
\(929\) | −0.431385 | − | 0.192065i | −0.0141533 | − | 0.00630145i | 0.399648 | − | 0.916669i | \(-0.369132\pi\) |
−0.413801 | + | 0.910367i | \(0.635799\pi\) | |||||||
\(930\) | −13.4223 | + | 42.0691i | −0.440134 | + | 1.37950i | ||||
\(931\) | 52.1340 | − | 7.24862i | 1.70862 | − | 0.237564i | ||||
\(932\) | −9.05674 | − | 9.05674i | −0.296663 | − | 0.296663i | ||||
\(933\) | 7.84416 | + | 9.68674i | 0.256806 | + | 0.317129i | ||||
\(934\) | −7.08743 | − | 7.87139i | −0.231908 | − | 0.257560i | ||||
\(935\) | −18.4189 | − | 14.7539i | −0.602362 | − | 0.482504i | ||||
\(936\) | −3.21705 | − | 2.89665i | −0.105153 | − | 0.0946799i | ||||
\(937\) | −15.7304 | − | 30.8727i | −0.513890 | − | 1.00857i | −0.991514 | − | 0.130002i | \(-0.958502\pi\) |
0.477624 | − | 0.878565i | \(-0.341498\pi\) | |||||||
\(938\) | 11.4304 | − | 7.69765i | 0.373216 | − | 0.251337i | ||||
\(939\) | −14.2378 | + | 4.62615i | −0.464634 | + | 0.150969i | ||||
\(940\) | 1.10149 | + | 2.82452i | 0.0359268 | + | 0.0921257i | ||||
\(941\) | −8.33164 | + | 7.50184i | −0.271604 | + | 0.244553i | −0.793665 | − | 0.608355i | \(-0.791830\pi\) |
0.522062 | + | 0.852908i | \(0.325163\pi\) | |||||||
\(942\) | −12.4669 | − | 4.78560i | −0.406194 | − | 0.155923i | ||||
\(943\) | 4.63460 | − | 17.2966i | 0.150923 | − | 0.563253i | ||||
\(944\) | 40.5702 | + | 29.4760i | 1.32045 | + | 0.959362i | ||||
\(945\) | 8.25723 | + | 23.6287i | 0.268608 | + | 0.768643i | ||||
\(946\) | −3.72909 | + | 2.70934i | −0.121243 | + | 0.0880883i | ||||
\(947\) | 20.5422 | + | 53.5143i | 0.667532 | + | 1.73898i | 0.673706 | + | 0.738999i | \(0.264701\pi\) |
−0.00617413 | + | 0.999981i | \(0.501965\pi\) | |||||||
\(948\) | −1.47167 | − | 2.26617i | −0.0477976 | − | 0.0736018i | ||||
\(949\) | −15.6768 | − | 9.05102i | −0.508892 | − | 0.293809i | ||||
\(950\) | 14.8218 | − | 57.7651i | 0.480881 | − | 1.87415i | ||||
\(951\) | 27.6599i | 0.896934i | ||||||||
\(952\) | 20.2620 | + | 24.1835i | 0.656695 | + | 0.783791i | ||||
\(953\) | −2.70486 | + | 17.0778i | −0.0876189 | + | 0.553204i | 0.904357 | + | 0.426777i | \(0.140351\pi\) |
−0.991976 | + | 0.126427i | \(0.959649\pi\) | |||||||
\(954\) | −5.01373 | + | 11.2610i | −0.162326 | + | 0.364589i | ||||
\(955\) | 0.668090 | + | 6.04707i | 0.0216189 | + | 0.195678i | ||||
\(956\) | −12.8616 | + | 5.72636i | −0.415974 | + | 0.185204i | ||||
\(957\) | 27.6813 | + | 7.41718i | 0.894810 | + | 0.239764i | ||||
\(958\) | 1.25679 | + | 7.93504i | 0.0406050 | + | 0.256370i | ||||
\(959\) | 18.1224 | + | 15.7770i | 0.585203 | + | 0.509467i | ||||
\(960\) | 19.6081 | + | 9.85989i | 0.632849 | + | 0.318227i | ||||
\(961\) | −6.25705 | + | 6.94916i | −0.201840 | + | 0.224166i | ||||
\(962\) | −9.16843 | − | 0.480497i | −0.295602 | − | 0.0154918i | ||||
\(963\) | 9.74223 | + | 0.510569i | 0.313939 | + | 0.0164528i | ||||
\(964\) | 6.60983 | − | 7.34096i | 0.212888 | − | 0.236436i | ||||
\(965\) | −15.4682 | + | 2.53428i | −0.497938 | + | 0.0815812i | ||||
\(966\) | −15.6232 | + | 5.36663i | −0.502669 | + | 0.172668i | ||||
\(967\) | −2.21053 | − | 13.9567i | −0.0710859 | − | 0.448819i | −0.997400 | − | 0.0720662i | \(-0.977041\pi\) |
0.926314 | − | 0.376753i | \(-0.122959\pi\) | |||||||
\(968\) | 15.1423 | + | 4.05738i | 0.486693 | + | 0.130409i | ||||
\(969\) | 68.2059 | − | 30.3672i | 2.19109 | − | 0.975535i | ||||
\(970\) | 11.7144 | + | 2.42497i | 0.376128 | + | 0.0778611i | ||||
\(971\) | −4.23795 | + | 9.51858i | −0.136002 | + | 0.305466i | −0.968689 | − | 0.248279i | \(-0.920135\pi\) |
0.832686 | + | 0.553745i | \(0.186802\pi\) | |||||||
\(972\) | 0.686717 | − | 4.33576i | 0.0220265 | − | 0.139070i | ||||
\(973\) | 44.2849 | + | 16.1553i | 1.41971 | + | 0.517917i | ||||
\(974\) | − | 29.8245i | − | 0.955640i | ||||||
\(975\) | 8.50435 | − | 19.6610i | 0.272357 | − | 0.629655i | ||||
\(976\) | 35.4039 | + | 20.4405i | 1.13325 | + | 0.654283i | ||||
\(977\) | 13.5703 | + | 20.8965i | 0.434154 | + | 0.668538i | 0.986253 | − | 0.165240i | \(-0.0528399\pi\) |
−0.552100 | + | 0.833778i | \(0.686173\pi\) | |||||||
\(978\) | −16.9945 | − | 44.2722i | −0.543424 | − | 1.41567i | ||||
\(979\) | −21.3419 | + | 15.5058i | −0.682091 | + | 0.495568i | ||||
\(980\) | 7.83006 | − | 1.98424i | 0.250122 | − | 0.0633841i | ||||
\(981\) | 6.65373 | + | 4.83422i | 0.212437 | + | 0.154345i | ||||
\(982\) | −10.7708 | + | 40.1972i | −0.343710 | + | 1.28274i | ||||
\(983\) | 10.9115 | + | 4.18853i | 0.348022 | + | 0.133593i | 0.526099 | − | 0.850423i | \(-0.323654\pi\) |
−0.178077 | + | 0.984017i | \(0.556987\pi\) | |||||||
\(984\) | −30.5681 | + | 27.5236i | −0.974475 | + | 0.877421i | ||||
\(985\) | −8.40758 | + | 32.0582i | −0.267888 | + | 1.02146i | ||||
\(986\) | −53.6403 | + | 17.4288i | −1.70826 | + | 0.555046i | ||||
\(987\) | −7.60993 | − | 11.3001i | −0.242227 | − | 0.359687i | ||||
\(988\) | −3.85090 | − | 7.55782i | −0.122513 | − | 0.240446i | ||||
\(989\) | −2.08186 | − | 1.87451i | −0.0661993 | − | 0.0596061i | ||||
\(990\) | −6.20985 | − | 0.292353i | −0.197362 | − | 0.00929160i | ||||
\(991\) | −7.21705 | − | 8.01534i | −0.229257 | − | 0.254616i | 0.617531 | − | 0.786547i | \(-0.288133\pi\) |
−0.846788 | + | 0.531931i | \(0.821467\pi\) | |||||||
\(992\) | −11.4006 | − | 14.0786i | −0.361969 | − | 0.446995i | ||||
\(993\) | −14.2692 | − | 14.2692i | −0.452820 | − | 0.452820i | ||||
\(994\) | −0.469562 | − | 28.0873i | −0.0148936 | − | 0.890876i | ||||
\(995\) | −38.1616 | − | 27.4173i | −1.20981 | − | 0.869187i | ||||
\(996\) | 2.69796 | + | 1.20121i | 0.0854882 | + | 0.0380618i | ||||
\(997\) | −9.62594 | − | 7.79493i | −0.304856 | − | 0.246868i | 0.464668 | − | 0.885485i | \(-0.346174\pi\) |
−0.769525 | + | 0.638617i | \(0.779507\pi\) | |||||||
\(998\) | −4.02103 | + | 2.61129i | −0.127283 | + | 0.0826588i | ||||
\(999\) | 5.60130 | + | 9.70173i | 0.177217 | + | 0.306949i |
(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 | 175.2.x.a.17.14 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.a.143.14 | 288 | |||
5.3 | odd | 4 | 875.2.bb.b.143.5 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.857.5 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.117.5 | yes | 288 | |
25.3 | odd | 20 | inner | 175.2.x.a.3.5 | ✓ | 288 | |
25.4 | even | 10 | 875.2.bb.a.507.14 | 288 | |||
25.21 | even | 5 | 875.2.bb.b.507.5 | 288 | |||
25.22 | odd | 20 | 875.2.bb.c.493.14 | 288 | |||
35.12 | even | 12 | 875.2.bb.a.768.14 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.607.14 | 288 | |||
35.33 | even | 12 | 875.2.bb.b.768.5 | 288 | |||
175.47 | even | 60 | 875.2.bb.c.243.5 | 288 | |||
175.54 | odd | 30 | 875.2.bb.a.257.14 | 288 | |||
175.96 | odd | 30 | 875.2.bb.b.257.5 | 288 | |||
175.103 | even | 60 | inner | 175.2.x.a.103.14 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.3.5 | ✓ | 288 | 25.3 | odd | 20 | inner | |
175.2.x.a.17.14 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.103.14 | yes | 288 | 175.103 | even | 60 | inner | |
175.2.x.a.117.5 | yes | 288 | 7.5 | odd | 6 | inner | |
875.2.bb.a.143.14 | 288 | 5.2 | odd | 4 | |||
875.2.bb.a.257.14 | 288 | 175.54 | odd | 30 | |||
875.2.bb.a.507.14 | 288 | 25.4 | even | 10 | |||
875.2.bb.a.768.14 | 288 | 35.12 | even | 12 | |||
875.2.bb.b.143.5 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.257.5 | 288 | 175.96 | odd | 30 | |||
875.2.bb.b.507.5 | 288 | 25.21 | even | 5 | |||
875.2.bb.b.768.5 | 288 | 35.33 | even | 12 | |||
875.2.bb.c.243.5 | 288 | 175.47 | even | 60 | |||
875.2.bb.c.493.14 | 288 | 25.22 | odd | 20 | |||
875.2.bb.c.607.14 | 288 | 35.19 | odd | 6 | |||
875.2.bb.c.857.5 | 288 | 5.4 | even | 2 |