Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(59,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bd (of order \(6\), degree \(2\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.19 | ||
Character | \(\chi\) | \(=\) | 360.59 |
Dual form | 360.2.bd.b.299.19 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.814931 | + | 1.15581i | −0.576243 | + | 0.817278i | ||||
\(3\) | 0.679246 | + | 1.59331i | 0.392163 | + | 0.919896i | ||||
\(4\) | −0.671775 | − | 1.88380i | −0.335888 | − | 0.941902i | ||||
\(5\) | −1.77343 | − | 1.36197i | −0.793101 | − | 0.609090i | ||||
\(6\) | −2.39509 | − | 0.513357i | −0.977792 | − | 0.209577i | ||||
\(7\) | 1.70997 | + | 2.96175i | 0.646306 | + | 1.11944i | 0.983998 | + | 0.178179i | \(0.0570206\pi\) |
−0.337692 | + | 0.941257i | \(0.609646\pi\) | |||||||
\(8\) | 2.72476 | + | 0.758729i | 0.963349 | + | 0.268251i | ||||
\(9\) | −2.07725 | + | 2.16449i | −0.692416 | + | 0.721498i | ||||
\(10\) | 3.01939 | − | 0.939829i | 0.954815 | − | 0.297200i | ||||
\(11\) | −1.22829 | + | 0.709153i | −0.370343 | + | 0.213818i | −0.673608 | − | 0.739088i | \(-0.735257\pi\) |
0.303265 | + | 0.952906i | \(0.401923\pi\) | |||||||
\(12\) | 2.54518 | − | 2.34991i | 0.734729 | − | 0.678361i | ||||
\(13\) | −1.52691 | + | 2.64468i | −0.423487 | + | 0.733502i | −0.996278 | − | 0.0862002i | \(-0.972528\pi\) |
0.572791 | + | 0.819702i | \(0.305861\pi\) | |||||||
\(14\) | −4.81671 | − | 0.437231i | −1.28732 | − | 0.116855i | ||||
\(15\) | 0.965437 | − | 3.75072i | 0.249275 | − | 0.968433i | ||||
\(16\) | −3.09744 | + | 2.53099i | −0.774359 | + | 0.632746i | ||||
\(17\) | −5.56671 | −1.35012 | −0.675062 | − | 0.737761i | \(-0.735883\pi\) | ||||
−0.675062 | + | 0.737761i | \(0.735883\pi\) | |||||||
\(18\) | −0.808922 | − | 4.16481i | −0.190665 | − | 0.981655i | ||||
\(19\) | −1.93772 | −0.444544 | −0.222272 | − | 0.974985i | \(-0.571347\pi\) | ||||
−0.222272 | + | 0.974985i | \(0.571347\pi\) | |||||||
\(20\) | −1.37434 | + | 4.25573i | −0.307311 | + | 0.951609i | ||||
\(21\) | −3.55748 | + | 4.73626i | −0.776307 | + | 1.03354i | ||||
\(22\) | 0.181328 | − | 1.99758i | 0.0386592 | − | 0.425885i | ||||
\(23\) | 1.73462 | + | 1.00148i | 0.361693 | + | 0.208824i | 0.669823 | − | 0.742521i | \(-0.266370\pi\) |
−0.308130 | + | 0.951344i | \(0.599703\pi\) | |||||||
\(24\) | 0.641898 | + | 4.85674i | 0.131027 | + | 0.991379i | ||||
\(25\) | 1.29009 | + | 4.83070i | 0.258018 | + | 0.966140i | ||||
\(26\) | −1.81241 | − | 3.92004i | −0.355443 | − | 0.768782i | ||||
\(27\) | −4.85967 | − | 1.83947i | −0.935243 | − | 0.354006i | ||||
\(28\) | 4.43064 | − | 5.21087i | 0.837312 | − | 0.984762i | ||||
\(29\) | −2.99472 | − | 5.18701i | −0.556106 | − | 0.963203i | −0.997817 | − | 0.0660457i | \(-0.978962\pi\) |
0.441711 | − | 0.897157i | \(-0.354372\pi\) | |||||||
\(30\) | 3.54834 | + | 4.17244i | 0.647836 | + | 0.761780i | ||||
\(31\) | 3.93868 | + | 2.27400i | 0.707407 | + | 0.408422i | 0.810100 | − | 0.586291i | \(-0.199413\pi\) |
−0.102693 | + | 0.994713i | \(0.532746\pi\) | |||||||
\(32\) | −0.401131 | − | 5.64261i | −0.0709107 | − | 0.997483i | ||||
\(33\) | −1.96421 | − | 1.47535i | −0.341925 | − | 0.256826i | ||||
\(34\) | 4.53648 | − | 6.43403i | 0.778000 | − | 1.10343i | ||||
\(35\) | 1.00130 | − | 7.58136i | 0.169251 | − | 1.28148i | ||||
\(36\) | 5.47293 | + | 2.45908i | 0.912155 | + | 0.409846i | ||||
\(37\) | 4.60997 | 0.757875 | 0.378937 | − | 0.925422i | \(-0.376290\pi\) | ||||
0.378937 | + | 0.925422i | \(0.376290\pi\) | |||||||
\(38\) | 1.57911 | − | 2.23963i | 0.256166 | − | 0.363316i | ||||
\(39\) | −5.25093 | − | 0.636440i | −0.840821 | − | 0.101912i | ||||
\(40\) | −3.79880 | − | 5.05659i | −0.600644 | − | 0.799517i | ||||
\(41\) | 7.55565 | + | 4.36226i | 1.17999 | + | 0.681270i | 0.956013 | − | 0.293323i | \(-0.0947612\pi\) |
0.223981 | + | 0.974593i | \(0.428095\pi\) | |||||||
\(42\) | −2.57509 | − | 7.97148i | −0.397345 | − | 1.23003i | ||||
\(43\) | 3.14088 | − | 1.81339i | 0.478980 | − | 0.276539i | −0.241012 | − | 0.970522i | \(-0.577479\pi\) |
0.719991 | + | 0.693983i | \(0.244146\pi\) | |||||||
\(44\) | 2.16104 | + | 1.83747i | 0.325789 | + | 0.277008i | ||||
\(45\) | 6.63182 | − | 1.00943i | 0.988614 | − | 0.150477i | ||||
\(46\) | −2.57112 | + | 1.18874i | −0.379090 | + | 0.175271i | ||||
\(47\) | −9.41974 | + | 5.43849i | −1.37401 | + | 0.793285i | −0.991430 | − | 0.130637i | \(-0.958298\pi\) |
−0.382580 | + | 0.923922i | \(0.624964\pi\) | |||||||
\(48\) | −6.13656 | − | 3.21600i | −0.885736 | − | 0.464190i | ||||
\(49\) | −2.34797 | + | 4.06680i | −0.335424 | + | 0.580972i | ||||
\(50\) | −6.63469 | − | 2.44559i | −0.938286 | − | 0.345859i | ||||
\(51\) | −3.78117 | − | 8.86947i | −0.529469 | − | 1.24197i | ||||
\(52\) | 6.00779 | + | 1.09976i | 0.833131 | + | 0.152510i | ||||
\(53\) | 7.92349i | 1.08837i | 0.838964 | + | 0.544187i | \(0.183162\pi\) | ||||
−0.838964 | + | 0.544187i | \(0.816838\pi\) | |||||||
\(54\) | 6.08636 | − | 4.11779i | 0.828249 | − | 0.560360i | ||||
\(55\) | 3.14413 | + | 0.415259i | 0.423954 | + | 0.0559935i | ||||
\(56\) | 2.41209 | + | 9.36746i | 0.322329 | + | 1.25178i | ||||
\(57\) | −1.31619 | − | 3.08739i | −0.174334 | − | 0.408934i | ||||
\(58\) | 8.43566 | + | 0.765737i | 1.10766 | + | 0.100546i | ||||
\(59\) | 1.71292 | + | 0.988953i | 0.223003 | + | 0.128751i | 0.607340 | − | 0.794442i | \(-0.292237\pi\) |
−0.384337 | + | 0.923193i | \(0.625570\pi\) | |||||||
\(60\) | −7.71419 | + | 0.700948i | −0.995897 | + | 0.0904921i | ||||
\(61\) | −0.587113 | + | 0.338970i | −0.0751721 | + | 0.0434006i | −0.537115 | − | 0.843509i | \(-0.680486\pi\) |
0.461943 | + | 0.886910i | \(0.347153\pi\) | |||||||
\(62\) | −5.83805 | + | 2.69920i | −0.741433 | + | 0.342798i | ||||
\(63\) | −9.96271 | − | 2.45108i | −1.25518 | − | 0.308807i | ||||
\(64\) | 6.84866 | + | 4.13471i | 0.856083 | + | 0.516839i | ||||
\(65\) | 6.30982 | − | 2.61055i | 0.782637 | − | 0.323799i | ||||
\(66\) | 3.30592 | − | 1.06794i | 0.406930 | − | 0.131454i | ||||
\(67\) | −12.7876 | − | 7.38294i | −1.56226 | − | 0.901970i | −0.997028 | − | 0.0770368i | \(-0.975454\pi\) |
−0.565230 | − | 0.824933i | \(-0.691213\pi\) | |||||||
\(68\) | 3.73958 | + | 10.4866i | 0.453490 | + | 1.27169i | ||||
\(69\) | −0.417435 | + | 3.44403i | −0.0502533 | + | 0.414613i | ||||
\(70\) | 7.94659 | + | 7.33560i | 0.949799 | + | 0.876772i | ||||
\(71\) | 13.6263 | 1.61715 | 0.808573 | − | 0.588396i | \(-0.200240\pi\) | ||||
0.808573 | + | 0.588396i | \(0.200240\pi\) | |||||||
\(72\) | −7.30227 | + | 4.32167i | −0.860581 | + | 0.509313i | ||||
\(73\) | 12.3720i | 1.44803i | 0.689782 | + | 0.724017i | \(0.257706\pi\) | ||||
−0.689782 | + | 0.724017i | \(0.742294\pi\) | |||||||
\(74\) | −3.75681 | + | 5.32823i | −0.436720 | + | 0.619395i | ||||
\(75\) | −6.82050 | + | 5.33674i | −0.787563 | + | 0.616234i | ||||
\(76\) | 1.30171 | + | 3.65029i | 0.149317 | + | 0.418717i | ||||
\(77\) | −4.20067 | − | 2.42526i | −0.478711 | − | 0.276384i | ||||
\(78\) | 5.01474 | − | 5.55040i | 0.567808 | − | 0.628459i | ||||
\(79\) | 3.19919 | − | 1.84706i | 0.359938 | − | 0.207810i | −0.309116 | − | 0.951024i | \(-0.600033\pi\) |
0.669053 | + | 0.743214i | \(0.266700\pi\) | |||||||
\(80\) | 8.94020 | − | 0.269911i | 0.999545 | − | 0.0301770i | ||||
\(81\) | −0.370074 | − | 8.99239i | −0.0411193 | − | 0.999154i | ||||
\(82\) | −11.1993 | + | 5.17793i | −1.23675 | + | 0.571807i | ||||
\(83\) | 3.31153 | + | 5.73574i | 0.363488 | + | 0.629580i | 0.988532 | − | 0.151010i | \(-0.0482525\pi\) |
−0.625044 | + | 0.780589i | \(0.714919\pi\) | |||||||
\(84\) | 11.3120 | + | 3.51990i | 1.23424 | + | 0.384053i | ||||
\(85\) | 9.87215 | + | 7.58167i | 1.07079 | + | 0.822348i | ||||
\(86\) | −0.463676 | + | 5.10803i | −0.0499994 | + | 0.550813i | ||||
\(87\) | 6.23034 | − | 8.29476i | 0.667962 | − | 0.889292i | ||||
\(88\) | −3.88485 | + | 1.00034i | −0.414127 | + | 0.106636i | ||||
\(89\) | 7.02054i | 0.744176i | 0.928197 | + | 0.372088i | \(0.121358\pi\) | ||||
−0.928197 | + | 0.372088i | \(0.878642\pi\) | |||||||
\(90\) | −4.23777 | + | 8.48771i | −0.446700 | + | 0.894684i | ||||
\(91\) | −10.4438 | −1.09481 | ||||||||
\(92\) | 0.721324 | − | 3.94046i | 0.0752032 | − | 0.410821i | ||||
\(93\) | −0.947841 | + | 7.82012i | −0.0982865 | + | 0.810909i | ||||
\(94\) | 1.39060 | − | 15.3194i | 0.143429 | − | 1.58007i | ||||
\(95\) | 3.43641 | + | 2.63912i | 0.352568 | + | 0.270768i | ||||
\(96\) | 8.71794 | − | 4.47185i | 0.889771 | − | 0.456406i | ||||
\(97\) | 16.1862 | − | 9.34508i | 1.64346 | − | 0.948849i | 0.663863 | − | 0.747854i | \(-0.268916\pi\) |
0.979592 | − | 0.200996i | \(-0.0644177\pi\) | |||||||
\(98\) | −2.78700 | − | 6.02796i | −0.281530 | − | 0.608916i | ||||
\(99\) | 1.01650 | − | 4.13171i | 0.102163 | − | 0.415253i | ||||
\(100\) | 8.23344 | − | 5.67542i | 0.823344 | − | 0.567542i | ||||
\(101\) | −1.20639 | − | 2.08954i | −0.120041 | − | 0.207917i | 0.799743 | − | 0.600343i | \(-0.204969\pi\) |
−0.919784 | + | 0.392426i | \(0.871636\pi\) | |||||||
\(102\) | 13.3328 | + | 2.85771i | 1.32014 | + | 0.282956i | ||||
\(103\) | 7.42476 | − | 12.8601i | 0.731583 | − | 1.26714i | −0.224623 | − | 0.974446i | \(-0.572115\pi\) |
0.956206 | − | 0.292693i | \(-0.0945515\pi\) | |||||||
\(104\) | −6.16705 | + | 6.04761i | −0.604729 | + | 0.593017i | ||||
\(105\) | 12.7596 | − | 3.55423i | 1.24521 | − | 0.346857i | ||||
\(106\) | −9.15801 | − | 6.45709i | −0.889505 | − | 0.627168i | ||||
\(107\) | 16.4184 | 1.58723 | 0.793614 | − | 0.608421i | \(-0.208197\pi\) | ||||
0.793614 | + | 0.608421i | \(0.208197\pi\) | |||||||
\(108\) | −0.200595 | + | 10.3904i | −0.0193023 | + | 0.999814i | ||||
\(109\) | 0.509995i | 0.0488487i | 0.999702 | + | 0.0244243i | \(0.00777528\pi\) | ||||
−0.999702 | + | 0.0244243i | \(0.992225\pi\) | |||||||
\(110\) | −3.04220 | + | 3.29559i | −0.290063 | + | 0.314222i | ||||
\(111\) | 3.13131 | + | 7.34510i | 0.297210 | + | 0.697166i | ||||
\(112\) | −12.7927 | − | 4.84593i | −1.20879 | − | 0.457897i | ||||
\(113\) | −0.626344 | + | 1.08486i | −0.0589215 | + | 0.102055i | −0.893982 | − | 0.448104i | \(-0.852100\pi\) |
0.835060 | + | 0.550159i | \(0.185433\pi\) | |||||||
\(114\) | 4.64102 | + | 0.994745i | 0.434672 | + | 0.0931664i | ||||
\(115\) | −1.71223 | − | 4.13855i | −0.159667 | − | 0.385922i | ||||
\(116\) | −7.75953 | + | 9.12597i | −0.720454 | + | 0.847325i | ||||
\(117\) | −2.55263 | − | 8.79863i | −0.235991 | − | 0.813434i | ||||
\(118\) | −2.53895 | + | 1.17387i | −0.233729 | + | 0.108064i | ||||
\(119\) | −9.51888 | − | 16.4872i | −0.872594 | − | 1.51138i | ||||
\(120\) | 5.47637 | − | 9.48733i | 0.499922 | − | 0.866071i | ||||
\(121\) | −4.49420 | + | 7.78419i | −0.408564 | + | 0.707653i | ||||
\(122\) | 0.0866731 | − | 0.954825i | 0.00784702 | − | 0.0864458i | ||||
\(123\) | −1.81826 | + | 15.0015i | −0.163947 | + | 1.35264i | ||||
\(124\) | 1.63786 | − | 8.94731i | 0.147084 | − | 0.803492i | ||||
\(125\) | 4.29138 | − | 10.3240i | 0.383833 | − | 0.923403i | ||||
\(126\) | 10.9519 | − | 9.51751i | 0.975672 | − | 0.847887i | ||||
\(127\) | 4.29697 | 0.381294 | 0.190647 | − | 0.981659i | \(-0.438941\pi\) | ||||
0.190647 | + | 0.981659i | \(0.438941\pi\) | |||||||
\(128\) | −10.3601 | + | 4.54622i | −0.915713 | + | 0.401833i | ||||
\(129\) | 5.02271 | + | 3.77265i | 0.442225 | + | 0.332163i | ||||
\(130\) | −2.12478 | + | 9.42034i | −0.186356 | + | 0.826219i | ||||
\(131\) | 14.4106 | + | 8.31998i | 1.25906 | + | 0.726920i | 0.972892 | − | 0.231259i | \(-0.0742845\pi\) |
0.286170 | + | 0.958179i | \(0.407618\pi\) | |||||||
\(132\) | −1.45977 | + | 4.69129i | −0.127056 | + | 0.408324i | ||||
\(133\) | −3.31344 | − | 5.73905i | −0.287312 | − | 0.497639i | ||||
\(134\) | 18.9543 | − | 8.76344i | 1.63740 | − | 0.757045i | ||||
\(135\) | 6.11297 | + | 9.88087i | 0.526121 | + | 0.850410i | ||||
\(136\) | −15.1680 | − | 4.22362i | −1.30064 | − | 0.362172i | ||||
\(137\) | −5.59760 | − | 9.69532i | −0.478235 | − | 0.828327i | 0.521454 | − | 0.853280i | \(-0.325390\pi\) |
−0.999689 | + | 0.0249522i | \(0.992057\pi\) | |||||||
\(138\) | −3.64045 | − | 3.28912i | −0.309896 | − | 0.279989i | ||||
\(139\) | −5.43639 | + | 9.41611i | −0.461109 | + | 0.798664i | −0.999017 | − | 0.0443398i | \(-0.985882\pi\) |
0.537908 | + | 0.843004i | \(0.319215\pi\) | |||||||
\(140\) | −14.9545 | + | 3.20671i | −1.26388 | + | 0.271017i | ||||
\(141\) | −15.0635 | − | 11.3145i | −1.26858 | − | 0.952849i | ||||
\(142\) | −11.1045 | + | 15.7494i | −0.931870 | + | 1.32166i | ||||
\(143\) | − | 4.33124i | − | 0.362196i | ||||||
\(144\) | 0.955842 | − | 11.9619i | 0.0796535 | − | 0.996823i | ||||
\(145\) | −1.75362 | + | 13.2775i | −0.145630 | + | 1.10264i | ||||
\(146\) | −14.2996 | − | 10.0823i | −1.18345 | − | 0.834420i | ||||
\(147\) | −8.07451 | − | 0.978673i | −0.665974 | − | 0.0807196i | ||||
\(148\) | −3.09686 | − | 8.68429i | −0.254561 | − | 0.713844i | ||||
\(149\) | −7.28102 | + | 12.6111i | −0.596485 | + | 1.03314i | 0.396851 | + | 0.917883i | \(0.370103\pi\) |
−0.993336 | + | 0.115259i | \(0.963230\pi\) | |||||||
\(150\) | −0.610005 | − | 12.2322i | −0.0498067 | − | 0.998759i | ||||
\(151\) | 1.46206 | − | 0.844120i | 0.118981 | − | 0.0686935i | −0.439329 | − | 0.898326i | \(-0.644784\pi\) |
0.558309 | + | 0.829633i | \(0.311450\pi\) | |||||||
\(152\) | −5.27983 | − | 1.47021i | −0.428251 | − | 0.119249i | ||||
\(153\) | 11.5634 | − | 12.0491i | 0.934848 | − | 0.974113i | ||||
\(154\) | 6.22638 | − | 2.87874i | 0.501736 | − | 0.231976i | ||||
\(155\) | −3.88785 | − | 9.39712i | −0.312280 | − | 0.754795i | ||||
\(156\) | 2.32851 | + | 10.3193i | 0.186430 | + | 0.826202i | ||||
\(157\) | −7.35162 | + | 12.7334i | −0.586723 | + | 1.01623i | 0.407935 | + | 0.913011i | \(0.366249\pi\) |
−0.994658 | + | 0.103224i | \(0.967084\pi\) | |||||||
\(158\) | −0.472284 | + | 5.20287i | −0.0375729 | + | 0.413918i | ||||
\(159\) | −12.6245 | + | 5.38200i | −1.00119 | + | 0.426820i | ||||
\(160\) | −6.97368 | + | 10.5531i | −0.551318 | + | 0.834295i | ||||
\(161\) | 6.85001i | 0.539856i | ||||||||
\(162\) | 10.6950 | + | 6.90044i | 0.840282 | + | 0.542150i | ||||
\(163\) | − | 11.5047i | − | 0.901115i | −0.892748 | − | 0.450557i | \(-0.851225\pi\) | ||
0.892748 | − | 0.450557i | \(-0.148775\pi\) | |||||||
\(164\) | 3.14194 | − | 17.1638i | 0.245344 | − | 1.34027i | ||||
\(165\) | 1.47400 | + | 5.29162i | 0.114751 | + | 0.411952i | ||||
\(166\) | −9.32808 | − | 0.846745i | −0.723999 | − | 0.0657202i | ||||
\(167\) | 1.23207 | + | 0.711334i | 0.0953401 | + | 0.0550447i | 0.546912 | − | 0.837190i | \(-0.315803\pi\) |
−0.451572 | + | 0.892235i | \(0.649137\pi\) | |||||||
\(168\) | −13.2868 | + | 10.2060i | −1.02510 | + | 0.787411i | ||||
\(169\) | 1.83712 | + | 3.18199i | 0.141317 | + | 0.244768i | ||||
\(170\) | −16.8081 | + | 5.23175i | −1.28912 | + | 0.401257i | ||||
\(171\) | 4.02513 | − | 4.19419i | 0.307810 | − | 0.320738i | ||||
\(172\) | −5.52603 | − | 4.69861i | −0.421356 | − | 0.358266i | ||||
\(173\) | 10.6357 | − | 6.14051i | 0.808616 | − | 0.466855i | −0.0378592 | − | 0.999283i | \(-0.512054\pi\) |
0.846475 | + | 0.532429i | \(0.178721\pi\) | |||||||
\(174\) | 4.50984 | + | 13.9607i | 0.341890 | + | 1.05836i | ||||
\(175\) | −12.1013 | + | 12.0813i | −0.914773 | + | 0.913257i | ||||
\(176\) | 2.00969 | − | 5.30534i | 0.151486 | − | 0.399905i | ||||
\(177\) | −0.412212 | + | 3.40094i | −0.0309838 | + | 0.255630i | ||||
\(178\) | −8.11439 | − | 5.72126i | −0.608199 | − | 0.428827i | ||||
\(179\) | − | 6.95263i | − | 0.519664i | −0.965654 | − | 0.259832i | \(-0.916333\pi\) | ||
0.965654 | − | 0.259832i | \(-0.0836672\pi\) | |||||||
\(180\) | −6.35666 | − | 11.8149i | −0.473797 | − | 0.880634i | ||||
\(181\) | 7.42538i | 0.551924i | 0.961169 | + | 0.275962i | \(0.0889964\pi\) | ||||
−0.961169 | + | 0.275962i | \(0.911004\pi\) | |||||||
\(182\) | 8.51100 | − | 12.0710i | 0.630877 | − | 0.894765i | ||||
\(183\) | −0.938877 | − | 0.705206i | −0.0694038 | − | 0.0521304i | ||||
\(184\) | 3.96657 | + | 4.04491i | 0.292420 | + | 0.298195i | ||||
\(185\) | −8.17545 | − | 6.27863i | −0.601071 | − | 0.461614i | ||||
\(186\) | −8.26612 | − | 7.46838i | −0.606101 | − | 0.547608i | ||||
\(187\) | 6.83753 | − | 3.94765i | 0.500010 | − | 0.288681i | ||||
\(188\) | 16.5730 | + | 14.0915i | 1.20871 | + | 1.02773i | ||||
\(189\) | −2.86182 | − | 17.5385i | −0.208167 | − | 1.27574i | ||||
\(190\) | −5.85074 | + | 1.82113i | −0.424458 | + | 0.132118i | ||||
\(191\) | −4.64817 | − | 8.05086i | −0.336329 | − | 0.582540i | 0.647410 | − | 0.762142i | \(-0.275852\pi\) |
−0.983739 | + | 0.179602i | \(0.942519\pi\) | |||||||
\(192\) | −1.93593 | + | 13.7205i | −0.139714 | + | 0.990192i | ||||
\(193\) | 3.09360 | + | 1.78609i | 0.222682 | + | 0.128566i | 0.607192 | − | 0.794555i | \(-0.292296\pi\) |
−0.384509 | + | 0.923121i | \(0.625629\pi\) | |||||||
\(194\) | −2.38950 | + | 26.3237i | −0.171556 | + | 1.88993i | ||||
\(195\) | 8.44532 | + | 8.28027i | 0.604782 | + | 0.592962i | ||||
\(196\) | 9.23836 | + | 1.69114i | 0.659883 | + | 0.120796i | ||||
\(197\) | − | 16.7200i | − | 1.19125i | −0.803263 | − | 0.595625i | \(-0.796904\pi\) | ||
0.803263 | − | 0.595625i | \(-0.203096\pi\) | |||||||
\(198\) | 3.94708 | + | 4.54194i | 0.280507 | + | 0.322782i | ||||
\(199\) | 3.04703i | 0.215998i | 0.994151 | + | 0.107999i | \(0.0344443\pi\) | ||||
−0.994151 | + | 0.107999i | \(0.965556\pi\) | |||||||
\(200\) | −0.150004 | + | 14.1413i | −0.0106069 | + | 0.999944i | ||||
\(201\) | 3.07734 | − | 25.3895i | 0.217059 | − | 1.79083i | ||||
\(202\) | 3.39823 | + | 0.308470i | 0.239098 | + | 0.0217039i | ||||
\(203\) | 10.2417 | − | 17.7392i | 0.718829 | − | 1.24505i | ||||
\(204\) | −14.1682 | + | 13.0813i | −0.991976 | + | 0.915872i | ||||
\(205\) | −7.45815 | − | 18.0267i | −0.520900 | − | 1.25904i | ||||
\(206\) | 8.81307 | + | 19.0616i | 0.614035 | + | 1.32809i | ||||
\(207\) | −5.77094 | + | 1.67425i | −0.401108 | + | 0.116368i | ||||
\(208\) | −1.96415 | − | 12.0563i | −0.136189 | − | 0.835954i | ||||
\(209\) | 2.38009 | − | 1.37414i | 0.164634 | − | 0.0950514i | ||||
\(210\) | −6.29016 | + | 17.6440i | −0.434063 | + | 1.21755i | ||||
\(211\) | −1.28542 | + | 2.22641i | −0.0884917 | + | 0.153272i | −0.906874 | − | 0.421402i | \(-0.861538\pi\) |
0.818382 | + | 0.574675i | \(0.194871\pi\) | |||||||
\(212\) | 14.9263 | − | 5.32280i | 1.02514 | − | 0.365571i | ||||
\(213\) | 9.25563 | + | 21.7109i | 0.634185 | + | 1.48761i | ||||
\(214\) | −13.3799 | + | 18.9765i | −0.914630 | + | 1.29721i | ||||
\(215\) | −8.03990 | − | 1.06186i | −0.548316 | − | 0.0724186i | ||||
\(216\) | −11.8458 | − | 8.69928i | −0.806003 | − | 0.591911i | ||||
\(217\) | 15.5538i | 1.05586i | ||||||||
\(218\) | −0.589456 | − | 0.415611i | −0.0399230 | − | 0.0281487i | ||||
\(219\) | −19.7124 | + | 8.40364i | −1.33204 | + | 0.567866i | ||||
\(220\) | −1.32988 | − | 6.20188i | −0.0896605 | − | 0.418131i | ||||
\(221\) | 8.49983 | − | 14.7221i | 0.571761 | − | 0.990319i | ||||
\(222\) | −11.0413 | − | 2.36656i | −0.741044 | − | 0.158833i | ||||
\(223\) | −11.9624 | − | 20.7194i | −0.801059 | − | 1.38748i | −0.918919 | − | 0.394445i | \(-0.870937\pi\) |
0.117860 | − | 0.993030i | \(-0.462397\pi\) | |||||||
\(224\) | 16.0261 | − | 10.8367i | 1.07079 | − | 0.724059i | ||||
\(225\) | −13.1359 | − | 7.24218i | −0.875724 | − | 0.482812i | ||||
\(226\) | −0.743460 | − | 1.60802i | −0.0494543 | − | 0.106964i | ||||
\(227\) | 11.5037 | + | 19.9250i | 0.763526 | + | 1.32247i | 0.941022 | + | 0.338345i | \(0.109867\pi\) |
−0.177496 | + | 0.984122i | \(0.556800\pi\) | |||||||
\(228\) | −4.93185 | + | 4.55348i | −0.326619 | + | 0.301561i | ||||
\(229\) | −18.4838 | − | 10.6716i | −1.22144 | − | 0.705200i | −0.256217 | − | 0.966619i | \(-0.582476\pi\) |
−0.965225 | + | 0.261420i | \(0.915809\pi\) | |||||||
\(230\) | 6.17872 | + | 1.39362i | 0.407413 | + | 0.0918929i | ||||
\(231\) | 1.01089 | − | 8.34030i | 0.0665116 | − | 0.548751i | ||||
\(232\) | −4.22437 | − | 16.4055i | −0.277343 | − | 1.07708i | ||||
\(233\) | −29.4064 | −1.92648 | −0.963239 | − | 0.268646i | \(-0.913424\pi\) | ||||
−0.963239 | + | 0.268646i | \(0.913424\pi\) | |||||||
\(234\) | 12.2497 | + | 4.21993i | 0.800790 | + | 0.275866i | ||||
\(235\) | 24.1123 | + | 3.18461i | 1.57291 | + | 0.207741i | ||||
\(236\) | 0.712299 | − | 3.89115i | 0.0463667 | − | 0.253292i | ||||
\(237\) | 5.11597 | + | 3.84269i | 0.332318 | + | 0.249610i | ||||
\(238\) | 26.8132 | + | 2.43394i | 1.73804 | + | 0.157769i | ||||
\(239\) | −0.287284 | + | 0.497590i | −0.0185828 | + | 0.0321864i | −0.875167 | − | 0.483820i | \(-0.839249\pi\) |
0.856584 | + | 0.516007i | \(0.172582\pi\) | |||||||
\(240\) | 6.50265 | + | 14.0611i | 0.419744 | + | 0.907642i | ||||
\(241\) | −11.7683 | − | 20.3833i | −0.758062 | − | 1.31300i | −0.943838 | − | 0.330409i | \(-0.892813\pi\) |
0.185776 | − | 0.982592i | \(-0.440520\pi\) | |||||||
\(242\) | −5.33455 | − | 11.5380i | −0.342918 | − | 0.741691i | ||||
\(243\) | 14.0763 | − | 6.69769i | 0.902992 | − | 0.429657i | ||||
\(244\) | 1.03296 | + | 0.878294i | 0.0661285 | + | 0.0562270i | ||||
\(245\) | 9.70280 | − | 4.01432i | 0.619889 | − | 0.256465i | ||||
\(246\) | −15.8571 | − | 14.3268i | −1.01101 | − | 0.913441i | ||||
\(247\) | 2.95872 | − | 5.12465i | 0.188259 | − | 0.326074i | ||||
\(248\) | 9.00662 | + | 9.18449i | 0.571921 | + | 0.583216i | ||||
\(249\) | −6.88945 | + | 9.17227i | −0.436601 | + | 0.581269i | ||||
\(250\) | 8.43531 | + | 13.3733i | 0.533496 | + | 0.845803i | ||||
\(251\) | − | 3.65204i | − | 0.230515i | −0.993336 | − | 0.115257i | \(-0.963231\pi\) | ||
0.993336 | − | 0.115257i | \(-0.0367693\pi\) | |||||||
\(252\) | 2.07536 | + | 20.4144i | 0.130735 | + | 1.28598i | ||||
\(253\) | −2.84082 | −0.178601 | ||||||||
\(254\) | −3.50173 | + | 4.96646i | −0.219718 | + | 0.311623i | ||||
\(255\) | −5.37431 | + | 20.8792i | −0.336552 | + | 1.30751i | ||||
\(256\) | 3.18822 | − | 15.6791i | 0.199264 | − | 0.979946i | ||||
\(257\) | −9.92064 | + | 17.1831i | −0.618833 | + | 1.07185i | 0.370866 | + | 0.928686i | \(0.379061\pi\) |
−0.989699 | + | 0.143163i | \(0.954273\pi\) | |||||||
\(258\) | −8.45361 | + | 2.73084i | −0.526299 | + | 0.170014i | ||||
\(259\) | 7.88290 | + | 13.6536i | 0.489819 | + | 0.848392i | ||||
\(260\) | −9.15654 | − | 10.1328i | −0.567865 | − | 0.628407i | ||||
\(261\) | 17.4480 | + | 4.29265i | 1.08001 | + | 0.265708i | ||||
\(262\) | −21.3599 | + | 9.87568i | −1.31962 | + | 0.610121i | ||||
\(263\) | 18.5206 | − | 10.6929i | 1.14203 | − | 0.659351i | 0.195097 | − | 0.980784i | \(-0.437498\pi\) |
0.946932 | + | 0.321433i | \(0.104164\pi\) | |||||||
\(264\) | −4.23261 | − | 5.51029i | −0.260499 | − | 0.339135i | ||||
\(265\) | 10.7915 | − | 14.0517i | 0.662918 | − | 0.863191i | ||||
\(266\) | 9.33345 | + | 0.847233i | 0.572271 | + | 0.0519472i | ||||
\(267\) | −11.1859 | + | 4.76868i | −0.684565 | + | 0.291838i | ||||
\(268\) | −5.31761 | + | 29.0491i | −0.324825 | + | 1.77445i | ||||
\(269\) | 3.39669 | 0.207100 | 0.103550 | − | 0.994624i | \(-0.466980\pi\) | ||||
0.103550 | + | 0.994624i | \(0.466980\pi\) | |||||||
\(270\) | −16.4020 | − | 0.986821i | −0.998195 | − | 0.0600560i | ||||
\(271\) | 3.14526i | 0.191061i | 0.995427 | + | 0.0955304i | \(0.0304547\pi\) | ||||
−0.995427 | + | 0.0955304i | \(0.969545\pi\) | |||||||
\(272\) | 17.2425 | − | 14.0893i | 1.04548 | − | 0.854287i | ||||
\(273\) | −7.09393 | − | 16.6402i | −0.429344 | − | 1.00711i | ||||
\(274\) | 15.7676 | + | 1.43128i | 0.952554 | + | 0.0864669i | ||||
\(275\) | −5.01031 | − | 5.01863i | −0.302133 | − | 0.302635i | ||||
\(276\) | 6.76831 | − | 1.52725i | 0.407404 | − | 0.0919297i | ||||
\(277\) | 0.660382 | + | 1.14382i | 0.0396785 | + | 0.0687252i | 0.885183 | − | 0.465244i | \(-0.154033\pi\) |
−0.845504 | + | 0.533969i | \(0.820700\pi\) | |||||||
\(278\) | −6.45291 | − | 13.9569i | −0.387020 | − | 0.837079i | ||||
\(279\) | −13.1037 | + | 3.80159i | −0.784496 | + | 0.227595i | ||||
\(280\) | 8.48051 | − | 19.8977i | 0.506808 | − | 1.18911i | ||||
\(281\) | 7.77791 | − | 4.49058i | 0.463991 | − | 0.267885i | −0.249730 | − | 0.968316i | \(-0.580342\pi\) |
0.713721 | + | 0.700430i | \(0.247008\pi\) | |||||||
\(282\) | 25.3530 | − | 8.18999i | 1.50975 | − | 0.487707i | ||||
\(283\) | −0.734768 | − | 0.424219i | −0.0436774 | − | 0.0252172i | 0.478002 | − | 0.878359i | \(-0.341361\pi\) |
−0.521680 | + | 0.853141i | \(0.674694\pi\) | |||||||
\(284\) | −9.15382 | − | 25.6693i | −0.543179 | − | 1.52319i | ||||
\(285\) | −1.87075 | + | 7.26786i | −0.110814 | + | 0.430511i | ||||
\(286\) | 5.00607 | + | 3.52966i | 0.296015 | + | 0.208713i | ||||
\(287\) | 29.8373i | 1.76124i | ||||||||
\(288\) | 13.0467 | + | 10.8529i | 0.768782 | + | 0.639511i | ||||
\(289\) | 13.9882 | 0.822837 | ||||||||
\(290\) | −13.9171 | − | 12.8471i | −0.817242 | − | 0.754407i | ||||
\(291\) | 25.8840 | + | 19.4419i | 1.51735 | + | 1.13970i | ||||
\(292\) | 23.3064 | − | 8.31121i | 1.36391 | − | 0.486377i | ||||
\(293\) | 8.75742 | + | 5.05610i | 0.511614 | + | 0.295380i | 0.733497 | − | 0.679693i | \(-0.237887\pi\) |
−0.221883 | + | 0.975073i | \(0.571220\pi\) | |||||||
\(294\) | 7.71132 | − | 8.53501i | 0.449733 | − | 0.497772i | ||||
\(295\) | −1.69081 | − | 4.08677i | −0.0984428 | − | 0.237941i | ||||
\(296\) | 12.5611 | + | 3.49772i | 0.730098 | + | 0.203301i | ||||
\(297\) | 7.27354 | − | 1.18685i | 0.422054 | − | 0.0688679i | ||||
\(298\) | −8.64246 | − | 18.6926i | −0.500644 | − | 1.08283i | ||||
\(299\) | −5.29720 | + | 3.05834i | −0.306345 | + | 0.176868i | ||||
\(300\) | 14.6352 | + | 9.26339i | 0.844965 | + | 0.534822i | ||||
\(301\) | 10.7416 | + | 6.20166i | 0.619135 | + | 0.357458i | ||||
\(302\) | −0.215838 | + | 2.37776i | −0.0124201 | + | 0.136824i | ||||
\(303\) | 2.50983 | − | 3.34147i | 0.144186 | − | 0.191962i | ||||
\(304\) | 6.00197 | − | 4.90435i | 0.344237 | − | 0.281284i | ||||
\(305\) | 1.50287 | + | 0.198490i | 0.0860539 | + | 0.0113655i | ||||
\(306\) | 4.50303 | + | 23.1843i | 0.257421 | + | 1.32536i | ||||
\(307\) | − | 8.07245i | − | 0.460719i | −0.973106 | − | 0.230359i | \(-0.926010\pi\) | ||
0.973106 | − | 0.230359i | \(-0.0739902\pi\) | |||||||
\(308\) | −1.74680 | + | 9.54246i | −0.0995334 | + | 0.543732i | ||||
\(309\) | 25.5332 | + | 3.09477i | 1.45254 | + | 0.176055i | ||||
\(310\) | 14.0296 | + | 3.16440i | 0.796826 | + | 0.179726i | ||||
\(311\) | −14.4391 | + | 25.0092i | −0.818764 | + | 1.41814i | 0.0878289 | + | 0.996136i | \(0.472007\pi\) |
−0.906593 | + | 0.422006i | \(0.861326\pi\) | |||||||
\(312\) | −13.8246 | − | 5.71818i | −0.782666 | − | 0.323728i | ||||
\(313\) | −21.6842 | + | 12.5194i | −1.22566 | + | 0.707636i | −0.966119 | − | 0.258096i | \(-0.916905\pi\) |
−0.259542 | + | 0.965732i | \(0.583572\pi\) | |||||||
\(314\) | −8.72626 | − | 18.8739i | −0.492451 | − | 1.06511i | ||||
\(315\) | 14.3299 | + | 17.9157i | 0.807396 | + | 1.00944i | ||||
\(316\) | −5.62863 | − | 4.78585i | −0.316635 | − | 0.269225i | ||||
\(317\) | −17.5636 | + | 10.1404i | −0.986471 | + | 0.569539i | −0.904218 | − | 0.427072i | \(-0.859545\pi\) |
−0.0822535 | + | 0.996611i | \(0.526212\pi\) | |||||||
\(318\) | 4.06758 | − | 18.9775i | 0.228099 | − | 1.06420i | ||||
\(319\) | 7.35677 | + | 4.24743i | 0.411900 | + | 0.237811i | ||||
\(320\) | −6.51426 | − | 16.6603i | −0.364158 | − | 0.931337i | ||||
\(321\) | 11.1522 | + | 26.1596i | 0.622452 | + | 1.46008i | ||||
\(322\) | −7.91728 | − | 5.58228i | −0.441213 | − | 0.311089i | ||||
\(323\) | 10.7867 | 0.600190 | ||||||||
\(324\) | −16.6913 | + | 6.73801i | −0.927294 | + | 0.374334i | ||||
\(325\) | −14.7455 | − | 3.96415i | −0.817933 | − | 0.219892i | ||||
\(326\) | 13.2972 | + | 9.37550i | 0.736461 | + | 0.519261i | ||||
\(327\) | −0.812579 | + | 0.346412i | −0.0449357 | + | 0.0191567i | ||||
\(328\) | 17.2776 | + | 17.6188i | 0.953995 | + | 0.972836i | ||||
\(329\) | −32.2149 | − | 18.5993i | −1.77606 | − | 1.02541i | ||||
\(330\) | −7.31729 | − | 2.60864i | −0.402804 | − | 0.143601i | ||||
\(331\) | −0.794231 | − | 1.37565i | −0.0436549 | − | 0.0756124i | 0.843372 | − | 0.537330i | \(-0.180567\pi\) |
−0.887027 | + | 0.461717i | \(0.847234\pi\) | |||||||
\(332\) | 8.58041 | − | 10.0914i | 0.470911 | − | 0.553838i | ||||
\(333\) | −9.57606 | + | 9.97826i | −0.524765 | + | 0.546805i | ||||
\(334\) | −1.82621 | + | 0.844342i | −0.0999259 | + | 0.0462003i | ||||
\(335\) | 12.6226 | + | 30.5095i | 0.689647 | + | 1.66691i | ||||
\(336\) | −0.968317 | − | 23.6742i | −0.0528260 | − | 1.29153i | ||||
\(337\) | 1.92124 | + | 1.10923i | 0.104657 | + | 0.0604235i | 0.551415 | − | 0.834231i | \(-0.314088\pi\) |
−0.446758 | + | 0.894655i | \(0.647422\pi\) | |||||||
\(338\) | −5.17489 | − | 0.469744i | −0.281477 | − | 0.0255507i | ||||
\(339\) | −2.15396 | − | 0.261071i | −0.116987 | − | 0.0141794i | ||||
\(340\) | 7.65052 | − | 23.6904i | 0.414908 | − | 1.28479i | ||||
\(341\) | −6.45045 | −0.349311 | ||||||||
\(342\) | 1.56747 | + | 8.07025i | 0.0847588 | + | 0.436389i | ||||
\(343\) | 7.87974 | 0.425466 | ||||||||
\(344\) | 9.93402 | − | 2.55798i | 0.535606 | − | 0.137917i | ||||
\(345\) | 5.43095 | − | 5.53921i | 0.292393 | − | 0.298221i | ||||
\(346\) | −1.57010 | + | 17.2969i | −0.0844093 | + | 0.929886i | ||||
\(347\) | −3.96899 | + | 6.87450i | −0.213067 | + | 0.369042i | −0.952673 | − | 0.303998i | \(-0.901678\pi\) |
0.739606 | + | 0.673040i | \(0.235012\pi\) | |||||||
\(348\) | −19.8111 | − | 6.16452i | −1.06199 | − | 0.330453i | ||||
\(349\) | −16.0691 | + | 9.27748i | −0.860157 | + | 0.496612i | −0.864065 | − | 0.503380i | \(-0.832089\pi\) |
0.00390787 | + | 0.999992i | \(0.498756\pi\) | |||||||
\(350\) | −4.10185 | − | 23.8322i | −0.219253 | − | 1.27388i | ||||
\(351\) | 12.2851 | − | 10.0436i | 0.655727 | − | 0.536085i | ||||
\(352\) | 4.49418 | + | 6.64630i | 0.239541 | + | 0.354249i | ||||
\(353\) | −7.79810 | − | 13.5067i | −0.415051 | − | 0.718890i | 0.580383 | − | 0.814344i | \(-0.302903\pi\) |
−0.995434 | + | 0.0954542i | \(0.969570\pi\) | |||||||
\(354\) | −3.59490 | − | 3.24797i | −0.191067 | − | 0.172628i | ||||
\(355\) | −24.1653 | − | 18.5586i | −1.28256 | − | 0.984988i | ||||
\(356\) | 13.2253 | − | 4.71623i | 0.700941 | − | 0.249960i | ||||
\(357\) | 19.8035 | − | 26.3654i | 1.04811 | − | 1.39540i | ||||
\(358\) | 8.03589 | + | 5.66591i | 0.424710 | + | 0.299453i | ||||
\(359\) | 12.8977 | 0.680712 | 0.340356 | − | 0.940297i | \(-0.389452\pi\) | ||||
0.340356 | + | 0.940297i | \(0.389452\pi\) | |||||||
\(360\) | 18.8360 | + | 2.28130i | 0.992745 | + | 0.120235i | ||||
\(361\) | −15.2452 | −0.802381 | ||||||||
\(362\) | −8.58230 | − | 6.05117i | −0.451076 | − | 0.318043i | ||||
\(363\) | −15.4553 | − | 1.87326i | −0.811191 | − | 0.0983207i | ||||
\(364\) | 7.01590 | + | 19.6741i | 0.367733 | + | 1.03120i | ||||
\(365\) | 16.8503 | − | 21.9409i | 0.881984 | − | 1.14844i | ||||
\(366\) | 1.58020 | − | 0.510465i | 0.0825984 | − | 0.0266824i | ||||
\(367\) | 10.6850 | + | 18.5069i | 0.557751 | + | 0.966053i | 0.997684 | + | 0.0680225i | \(0.0216690\pi\) |
−0.439933 | + | 0.898031i | \(0.644998\pi\) | |||||||
\(368\) | −7.90761 | + | 1.28827i | −0.412213 | + | 0.0671556i | ||||
\(369\) | −25.1371 | + | 7.29267i | −1.30858 | + | 0.379641i | ||||
\(370\) | 13.9193 | − | 4.33258i | 0.723630 | − | 0.225240i | ||||
\(371\) | −23.4674 | + | 13.5489i | −1.21837 | + | 0.703423i | ||||
\(372\) | 15.3683 | − | 3.46782i | 0.796810 | − | 0.179798i | ||||
\(373\) | −13.3601 | + | 23.1403i | −0.691759 | + | 1.19816i | 0.279503 | + | 0.960145i | \(0.409830\pi\) |
−0.971261 | + | 0.238016i | \(0.923503\pi\) | |||||||
\(374\) | −1.00940 | + | 11.1199i | −0.0521947 | + | 0.574997i | ||||
\(375\) | 19.3641 | − | 0.175030i | 0.999959 | − | 0.00903853i | ||||
\(376\) | −29.7929 | + | 7.67157i | −1.53645 | + | 0.395631i | ||||
\(377\) | 18.2906 | 0.942015 | ||||||||
\(378\) | 22.6033 | + | 10.9850i | 1.16259 | + | 0.565007i | ||||
\(379\) | 1.88580 | 0.0968670 | 0.0484335 | − | 0.998826i | \(-0.484577\pi\) | ||||
0.0484335 | + | 0.998826i | \(0.484577\pi\) | |||||||
\(380\) | 2.66308 | − | 8.24642i | 0.136613 | − | 0.423032i | ||||
\(381\) | 2.91870 | + | 6.84638i | 0.149529 | + | 0.350751i | ||||
\(382\) | 13.0932 | + | 1.18852i | 0.669905 | + | 0.0608098i | ||||
\(383\) | −10.6344 | − | 6.13978i | −0.543393 | − | 0.313728i | 0.203060 | − | 0.979166i | \(-0.434911\pi\) |
−0.746453 | + | 0.665438i | \(0.768245\pi\) | |||||||
\(384\) | −14.2806 | − | 13.4188i | −0.728753 | − | 0.684776i | ||||
\(385\) | 4.14646 | + | 10.0222i | 0.211323 | + | 0.510778i | ||||
\(386\) | −4.58544 | + | 2.12006i | −0.233393 | + | 0.107908i | ||||
\(387\) | −2.59932 | + | 10.5653i | −0.132131 | + | 0.537063i | ||||
\(388\) | −28.4778 | − | 24.2138i | −1.44574 | − | 1.22927i | ||||
\(389\) | 13.8417 | + | 23.9746i | 0.701804 | + | 1.21556i | 0.967833 | + | 0.251594i | \(0.0809549\pi\) |
−0.266029 | + | 0.963965i | \(0.585712\pi\) | |||||||
\(390\) | −16.4527 | + | 3.01331i | −0.833117 | + | 0.152585i | ||||
\(391\) | −9.65612 | − | 5.57496i | −0.488331 | − | 0.281938i | ||||
\(392\) | −9.48325 | + | 9.29960i | −0.478977 | + | 0.469701i | ||||
\(393\) | −3.46791 | + | 28.6118i | −0.174933 | + | 1.44328i | ||||
\(394\) | 19.3251 | + | 13.6256i | 0.973583 | + | 0.686450i | ||||
\(395\) | −8.18917 | − | 1.08158i | −0.412042 | − | 0.0544202i | ||||
\(396\) | −8.46620 | + | 0.860687i | −0.425443 | + | 0.0432512i | ||||
\(397\) | 24.6606 | 1.23768 | 0.618840 | − | 0.785517i | \(-0.287603\pi\) | ||||
0.618840 | + | 0.785517i | \(0.287603\pi\) | |||||||
\(398\) | −3.52177 | − | 2.48312i | −0.176531 | − | 0.124467i | ||||
\(399\) | 6.89342 | − | 9.17755i | 0.345103 | − | 0.459452i | ||||
\(400\) | −16.2224 | − | 11.6976i | −0.811120 | − | 0.584880i | ||||
\(401\) | −10.7234 | − | 6.19117i | −0.535502 | − | 0.309172i | 0.207752 | − | 0.978182i | \(-0.433385\pi\) |
−0.743254 | + | 0.669009i | \(0.766719\pi\) | |||||||
\(402\) | 26.8375 | + | 24.2475i | 1.33853 | + | 1.20935i | ||||
\(403\) | −12.0280 | + | 6.94436i | −0.599156 | + | 0.345923i | ||||
\(404\) | −3.12585 | + | 3.67631i | −0.155517 | + | 0.182903i | ||||
\(405\) | −11.5910 | + | 16.4514i | −0.575963 | + | 0.817475i | ||||
\(406\) | 12.1568 | + | 26.2937i | 0.603331 | + | 1.30493i | ||||
\(407\) | −5.66238 | + | 3.26918i | −0.280674 | + | 0.162047i | ||||
\(408\) | −3.57326 | − | 27.0361i | −0.176903 | − | 1.33849i | ||||
\(409\) | 15.7011 | − | 27.1951i | 0.776368 | − | 1.34471i | −0.157654 | − | 0.987494i | \(-0.550393\pi\) |
0.934022 | − | 0.357215i | \(-0.116274\pi\) | |||||||
\(410\) | 26.9132 | + | 6.07034i | 1.32915 | + | 0.299793i | ||||
\(411\) | 11.6455 | − | 15.5042i | 0.574429 | − | 0.764766i | ||||
\(412\) | −29.2136 | − | 5.34772i | −1.43925 | − | 0.263463i | ||||
\(413\) | 6.76430i | 0.332850i | ||||||||
\(414\) | 2.76782 | − | 8.03448i | 0.136031 | − | 0.394873i | ||||
\(415\) | 1.93913 | − | 14.6821i | 0.0951883 | − | 0.720717i | ||||
\(416\) | 15.5354 | + | 7.55487i | 0.761685 | + | 0.370408i | ||||
\(417\) | −18.6954 | − | 2.26598i | −0.915517 | − | 0.110966i | ||||
\(418\) | −0.351363 | + | 3.87075i | −0.0171857 | + | 0.189324i | ||||
\(419\) | 21.4368 | + | 12.3766i | 1.04726 | + | 0.604634i | 0.921880 | − | 0.387475i | \(-0.126653\pi\) |
0.125377 | + | 0.992109i | \(0.459986\pi\) | |||||||
\(420\) | −15.2670 | − | 21.6489i | −0.744955 | − | 1.05636i | ||||
\(421\) | 16.5860 | − | 9.57596i | 0.808354 | − | 0.466704i | −0.0380297 | − | 0.999277i | \(-0.512108\pi\) |
0.846384 | + | 0.532573i | \(0.178775\pi\) | |||||||
\(422\) | −1.52577 | − | 3.30006i | −0.0742732 | − | 0.160644i | ||||
\(423\) | 7.79556 | − | 31.6861i | 0.379033 | − | 1.54063i | ||||
\(424\) | −6.01178 | + | 21.5896i | −0.291958 | + | 1.04848i | ||||
\(425\) | −7.18155 | − | 26.8911i | −0.348356 | − | 1.30441i | ||||
\(426\) | −32.6363 | − | 6.99517i | −1.58123 | − | 0.338917i | ||||
\(427\) | −2.00789 | − | 1.15925i | −0.0971684 | − | 0.0561002i | ||||
\(428\) | −11.0295 | − | 30.9291i | −0.533130 | − | 1.49501i | ||||
\(429\) | 6.90099 | − | 2.94198i | 0.333183 | − | 0.142040i | ||||
\(430\) | 7.77927 | − | 8.42721i | 0.375150 | − | 0.406396i | ||||
\(431\) | −0.581760 | −0.0280224 | −0.0140112 | − | 0.999902i | \(-0.504460\pi\) | ||||
−0.0140112 | + | 0.999902i | \(0.504460\pi\) | |||||||
\(432\) | 19.7082 | − | 6.60211i | 0.948210 | − | 0.317644i | ||||
\(433\) | − | 26.6827i | − | 1.28229i | −0.767421 | − | 0.641143i | \(-0.778460\pi\) | ||
0.767421 | − | 0.641143i | \(-0.221540\pi\) | |||||||
\(434\) | −17.9772 | − | 12.6753i | −0.862934 | − | 0.608434i | ||||
\(435\) | −22.3462 | + | 6.22464i | −1.07142 | + | 0.298449i | ||||
\(436\) | 0.960731 | − | 0.342602i | 0.0460107 | − | 0.0164077i | ||||
\(437\) | −3.36121 | − | 1.94060i | −0.160789 | − | 0.0928313i | ||||
\(438\) | 6.35126 | − | 29.6321i | 0.303475 | − | 1.41588i | ||||
\(439\) | −6.94231 | + | 4.00814i | −0.331338 | + | 0.191298i | −0.656435 | − | 0.754382i | \(-0.727936\pi\) |
0.325097 | + | 0.945681i | \(0.394603\pi\) | |||||||
\(440\) | 8.25193 | + | 3.51702i | 0.393395 | + | 0.167667i | ||||
\(441\) | −3.92525 | − | 13.5299i | −0.186917 | − | 0.644282i | ||||
\(442\) | 10.0892 | + | 21.8217i | 0.479893 | + | 1.03795i | ||||
\(443\) | −0.847068 | − | 1.46716i | −0.0402454 | − | 0.0697071i | 0.845201 | − | 0.534448i | \(-0.179481\pi\) |
−0.885446 | + | 0.464741i | \(0.846147\pi\) | |||||||
\(444\) | 11.7332 | − | 10.8330i | 0.556833 | − | 0.514112i | ||||
\(445\) | 9.56175 | − | 12.4504i | 0.453271 | − | 0.590207i | ||||
\(446\) | 33.6961 | + | 3.05873i | 1.59556 | + | 0.144835i | ||||
\(447\) | −25.0390 | − | 3.03485i | −1.18430 | − | 0.143544i | ||||
\(448\) | −0.534992 | + | 27.3542i | −0.0252760 | + | 1.29237i | ||||
\(449\) | 9.07219i | 0.428143i | 0.976818 | + | 0.214071i | \(0.0686726\pi\) | ||||
−0.976818 | + | 0.214071i | \(0.931327\pi\) | |||||||
\(450\) | 19.0754 | − | 9.28063i | 0.899222 | − | 0.437493i | ||||
\(451\) | −12.3740 | −0.582671 | ||||||||
\(452\) | 2.46443 | + | 0.451128i | 0.115917 | + | 0.0212193i | ||||
\(453\) | 2.33804 | + | 1.75614i | 0.109851 | + | 0.0825107i | ||||
\(454\) | −32.4041 | − | 2.94144i | −1.52080 | − | 0.138049i | ||||
\(455\) | 18.5214 | + | 14.2242i | 0.868295 | + | 0.666838i | ||||
\(456\) | −1.24382 | − | 9.41102i | −0.0582472 | − | 0.440712i | ||||
\(457\) | 19.0867 | − | 11.0197i | 0.892836 | − | 0.515479i | 0.0179669 | − | 0.999839i | \(-0.494281\pi\) |
0.874869 | + | 0.484360i | \(0.160947\pi\) | |||||||
\(458\) | 27.3973 | − | 12.6670i | 1.28019 | − | 0.591891i | ||||
\(459\) | 27.0523 | + | 10.2398i | 1.26269 | + | 0.477952i | ||||
\(460\) | −6.64599 | + | 6.00569i | −0.309871 | + | 0.280017i | ||||
\(461\) | 4.18352 | + | 7.24606i | 0.194846 | + | 0.337483i | 0.946850 | − | 0.321676i | \(-0.104246\pi\) |
−0.752004 | + | 0.659158i | \(0.770913\pi\) | |||||||
\(462\) | 8.81596 | + | 7.96516i | 0.410156 | + | 0.370573i | ||||
\(463\) | −13.0546 | + | 22.6112i | −0.606698 | + | 1.05083i | 0.385083 | + | 0.922882i | \(0.374173\pi\) |
−0.991781 | + | 0.127950i | \(0.959160\pi\) | |||||||
\(464\) | 22.4042 | + | 8.48683i | 1.04009 | + | 0.393991i | ||||
\(465\) | 12.3317 | − | 12.5775i | 0.571868 | − | 0.583267i | ||||
\(466\) | 23.9642 | − | 33.9881i | 1.11012 | − | 1.57447i | ||||
\(467\) | −15.1252 | −0.699910 | −0.349955 | − | 0.936767i | \(-0.613803\pi\) | ||||
−0.349955 | + | 0.936767i | \(0.613803\pi\) | |||||||
\(468\) | −14.8601 | + | 10.7194i | −0.686909 | + | 0.495502i | ||||
\(469\) | − | 50.4983i | − | 2.33180i | ||||||
\(470\) | −23.3306 | + | 25.2739i | −1.07616 | + | 1.16580i | ||||
\(471\) | −25.2817 | − | 3.06428i | −1.16492 | − | 0.141195i | ||||
\(472\) | 3.91694 | + | 3.99430i | 0.180292 | + | 0.183853i | ||||
\(473\) | −2.57194 | + | 4.45473i | −0.118258 | + | 0.204829i | ||||
\(474\) | −8.61057 | + | 2.78154i | −0.395496 | + | 0.127760i | ||||
\(475\) | −2.49984 | − | 9.36056i | −0.114700 | − | 0.429492i | ||||
\(476\) | −24.6641 | + | 29.0074i | −1.13048 | + | 1.32955i | ||||
\(477\) | −17.1503 | − | 16.4591i | −0.785260 | − | 0.753608i | ||||
\(478\) | −0.341001 | − | 0.737546i | −0.0155970 | − | 0.0337345i | ||||
\(479\) | −7.43918 | − | 12.8850i | −0.339905 | − | 0.588733i | 0.644510 | − | 0.764596i | \(-0.277062\pi\) |
−0.984415 | + | 0.175864i | \(0.943728\pi\) | |||||||
\(480\) | −21.5512 | − | 3.94306i | −0.983671 | − | 0.179975i | ||||
\(481\) | −7.03899 | + | 12.1919i | −0.320950 | + | 0.555902i | ||||
\(482\) | 33.1494 | + | 3.00910i | 1.50992 | + | 0.137061i | ||||
\(483\) | −10.9142 | + | 4.65284i | −0.496612 | + | 0.211712i | ||||
\(484\) | 17.6830 | + | 3.23697i | 0.803772 | + | 0.147135i | ||||
\(485\) | −41.4327 | − | 5.47220i | −1.88136 | − | 0.248480i | ||||
\(486\) | −3.72995 | + | 21.7276i | −0.169194 | + | 0.985583i | ||||
\(487\) | 30.3341 | 1.37457 | 0.687284 | − | 0.726389i | \(-0.258803\pi\) | ||||
0.687284 | + | 0.726389i | \(0.258803\pi\) | |||||||
\(488\) | −1.85693 | + | 0.478153i | −0.0840592 | + | 0.0216450i | ||||
\(489\) | 18.3304 | − | 7.81450i | 0.828931 | − | 0.353384i | ||||
\(490\) | −3.26734 | + | 14.4859i | −0.147603 | + | 0.654409i | ||||
\(491\) | 5.96814 | + | 3.44571i | 0.269338 | + | 0.155503i | 0.628587 | − | 0.777739i | \(-0.283634\pi\) |
−0.359248 | + | 0.933242i | \(0.616967\pi\) | |||||||
\(492\) | 29.4814 | − | 6.65239i | 1.32912 | − | 0.299913i | ||||
\(493\) | 16.6707 | + | 28.8745i | 0.750812 | + | 1.30044i | ||||
\(494\) | 3.51195 | + | 7.59594i | 0.158010 | + | 0.341758i | ||||
\(495\) | −7.42996 | + | 5.94285i | −0.333952 | + | 0.267111i | ||||
\(496\) | −17.9553 | + | 2.92518i | −0.806215 | + | 0.131344i | ||||
\(497\) | 23.3005 | + | 40.3577i | 1.04517 | + | 1.81029i | ||||
\(498\) | −4.98694 | − | 15.4376i | −0.223470 | − | 0.691777i | ||||
\(499\) | 5.17700 | − | 8.96683i | 0.231754 | − | 0.401410i | −0.726570 | − | 0.687092i | \(-0.758887\pi\) |
0.958324 | + | 0.285682i | \(0.0922201\pi\) | |||||||
\(500\) | −22.3312 | − | 1.14874i | −0.998680 | − | 0.0513732i | ||||
\(501\) | −0.296496 | + | 2.44623i | −0.0132465 | + | 0.109289i | ||||
\(502\) | 4.22105 | + | 2.97616i | 0.188395 | + | 0.132833i | ||||
\(503\) | − | 14.2027i | − | 0.633267i | −0.948548 | − | 0.316634i | \(-0.897447\pi\) | ||
0.948548 | − | 0.316634i | \(-0.102553\pi\) | |||||||
\(504\) | −25.2863 | − | 14.2376i | −1.12634 | − | 0.634193i | ||||
\(505\) | −0.706428 | + | 5.34871i | −0.0314356 | + | 0.238014i | ||||
\(506\) | 2.31507 | − | 3.28344i | 0.102918 | − | 0.145967i | ||||
\(507\) | −3.82202 | + | 5.08845i | −0.169742 | + | 0.225986i | ||||
\(508\) | −2.88660 | − | 8.09464i | −0.128072 | − | 0.359142i | ||||
\(509\) | −8.81692 | + | 15.2714i | −0.390803 | + | 0.676891i | −0.992556 | − | 0.121792i | \(-0.961136\pi\) |
0.601752 | + | 0.798683i | \(0.294469\pi\) | |||||||
\(510\) | −19.7526 | − | 23.2267i | −0.874660 | − | 1.02850i | ||||
\(511\) | −36.6428 | + | 21.1557i | −1.62098 | + | 0.935874i | ||||
\(512\) | 15.5239 | + | 16.4624i | 0.686064 | + | 0.727541i | ||||
\(513\) | 9.41669 | + | 3.56438i | 0.415757 | + | 0.157371i | ||||
\(514\) | −11.7756 | − | 25.4693i | −0.519401 | − | 1.12340i | ||||
\(515\) | −30.6822 | + | 12.6941i | −1.35202 | + | 0.559369i | ||||
\(516\) | 3.73279 | − | 11.9962i | 0.164327 | − | 0.528102i | ||||
\(517\) | 7.71345 | − | 13.3601i | 0.339237 | − | 0.587576i | ||||
\(518\) | −22.2049 | − | 2.01562i | −0.975627 | − | 0.0885614i | ||||
\(519\) | 17.0080 | + | 12.7750i | 0.746567 | + | 0.560759i | ||||
\(520\) | 19.1735 | − | 2.32568i | 0.840812 | − | 0.101988i | ||||
\(521\) | 17.4429i | 0.764187i | 0.924124 | + | 0.382093i | \(0.124797\pi\) | ||||
−0.924124 | + | 0.382093i | \(0.875203\pi\) | |||||||
\(522\) | −19.1804 | + | 16.6683i | −0.839504 | + | 0.729553i | ||||
\(523\) | 11.8010i | 0.516023i | 0.966142 | + | 0.258012i | \(0.0830673\pi\) | ||||
−0.966142 | + | 0.258012i | \(0.916933\pi\) | |||||||
\(524\) | 5.99251 | − | 32.7359i | 0.261784 | − | 1.43008i | ||||
\(525\) | −27.4689 | − | 11.0749i | −1.19884 | − | 0.483350i | ||||
\(526\) | −2.73412 | + | 30.1202i | −0.119213 | + | 1.31330i | ||||
\(527\) | −21.9255 | − | 12.6587i | −0.955088 | − | 0.551421i | ||||
\(528\) | 9.81811 | − | 0.401578i | 0.427278 | − | 0.0174764i | ||||
\(529\) | −9.49406 | − | 16.4442i | −0.412785 | − | 0.714965i | ||||
\(530\) | 7.44672 | + | 23.9241i | 0.323465 | + | 1.03920i | ||||
\(531\) | −5.69874 | + | 1.65330i | −0.247304 | + | 0.0717470i | ||||
\(532\) | −8.58535 | + | 10.0972i | −0.372222 | + | 0.437770i | ||||
\(533\) | −23.0735 | + | 13.3215i | −0.999425 | + | 0.577019i | ||||
\(534\) | 3.60405 | − | 16.8148i | 0.155962 | − | 0.727650i | ||||
\(535\) | −29.1169 | − | 22.3614i | −1.25883 | − | 0.966766i | ||||
\(536\) | −29.2416 | − | 29.8191i | −1.26305 | − | 1.28799i | ||||
\(537\) | 11.0777 | − | 4.72255i | 0.478036 | − | 0.203793i | ||||
\(538\) | −2.76807 | + | 3.92592i | −0.119340 | + | 0.169258i | ||||
\(539\) | − | 6.66028i | − | 0.286879i | ||||||
\(540\) | 14.5071 | − | 18.1534i | 0.624286 | − | 0.781196i | ||||
\(541\) | 22.5545i | 0.969694i | 0.874599 | + | 0.484847i | \(0.161125\pi\) | ||||
−0.874599 | + | 0.484847i | \(0.838875\pi\) | |||||||
\(542\) | −3.63531 | − | 2.56317i | −0.156150 | − | 0.110097i | ||||
\(543\) | −11.8309 | + | 5.04366i | −0.507713 | + | 0.216444i | ||||
\(544\) | 2.23298 | + | 31.4108i | 0.0957383 | + | 1.34673i | ||||
\(545\) | 0.694597 | − | 0.904440i | 0.0297533 | − | 0.0387419i | ||||
\(546\) | 25.0139 | + | 5.36142i | 1.07050 | + | 0.229447i | ||||
\(547\) | 30.7542 | − | 17.7559i | 1.31495 | − | 0.759189i | 0.332041 | − | 0.943265i | \(-0.392263\pi\) |
0.982912 | + | 0.184076i | \(0.0589293\pi\) | |||||||
\(548\) | −14.5038 | + | 17.0579i | −0.619570 | + | 0.728676i | ||||
\(549\) | 0.485881 | − | 1.97493i | 0.0207369 | − | 0.0842878i | ||||
\(550\) | 9.88362 | − | 1.70111i | 0.421439 | − | 0.0725356i | ||||
\(551\) | 5.80294 | + | 10.0510i | 0.247213 | + | 0.428186i | ||||
\(552\) | −3.75050 | + | 9.06746i | −0.159632 | + | 0.385937i | ||||
\(553\) | 10.9410 | + | 6.31681i | 0.465260 | + | 0.268618i | ||||
\(554\) | −1.86019 | − | 0.168857i | −0.0790321 | − | 0.00717404i | ||||
\(555\) | 4.45064 | − | 17.2907i | 0.188919 | − | 0.733951i | ||||
\(556\) | 21.3901 | + | 3.91559i | 0.907144 | + | 0.166058i | ||||
\(557\) | 25.4514i | 1.07841i | 0.842174 | + | 0.539206i | \(0.181275\pi\) | ||||
−0.842174 | + | 0.539206i | \(0.818725\pi\) | |||||||
\(558\) | 6.28468 | − | 18.2433i | 0.266052 | − | 0.772302i | ||||
\(559\) | 11.0755i | 0.468443i | ||||||||
\(560\) | 16.0868 | + | 26.0171i | 0.679793 | + | 1.09942i | ||||
\(561\) | 10.9342 | + | 8.21285i | 0.461641 | + | 0.346747i | ||||
\(562\) | −1.14822 | + | 12.6493i | −0.0484348 | + | 0.533577i | ||||
\(563\) | −4.56276 | + | 7.90293i | −0.192297 | + | 0.333069i | −0.946011 | − | 0.324134i | \(-0.894927\pi\) |
0.753714 | + | 0.657203i | \(0.228260\pi\) | |||||||
\(564\) | −11.1949 | + | 35.9775i | −0.471392 | + | 1.51492i | ||||
\(565\) | 2.58832 | − | 1.07086i | 0.108891 | − | 0.0450514i | ||||
\(566\) | 1.08910 | − | 0.503541i | 0.0457783 | − | 0.0211654i | ||||
\(567\) | 26.0004 | − | 16.4727i | 1.09191 | − | 0.691790i | ||||
\(568\) | 37.1285 | + | 10.3387i | 1.55788 | + | 0.433801i | ||||
\(569\) | 3.50968 | − | 2.02631i | 0.147133 | − | 0.0849475i | −0.424626 | − | 0.905369i | \(-0.639594\pi\) |
0.571759 | + | 0.820421i | \(0.306261\pi\) | |||||||
\(570\) | −6.87571 | − | 8.08503i | −0.287992 | − | 0.338645i | ||||
\(571\) | 18.5259 | − | 32.0878i | 0.775284 | − | 1.34283i | −0.159350 | − | 0.987222i | \(-0.550940\pi\) |
0.934634 | − | 0.355610i | \(-0.115727\pi\) | |||||||
\(572\) | −8.15921 | + | 2.90962i | −0.341154 | + | 0.121657i | ||||
\(573\) | 9.67023 | − | 12.8745i | 0.403980 | − | 0.537839i | ||||
\(574\) | −34.4861 | − | 24.3153i | −1.43942 | − | 1.01490i | ||||
\(575\) | −2.60005 | + | 9.67143i | −0.108430 | + | 0.403327i | ||||
\(576\) | −23.1759 | + | 6.23507i | −0.965664 | + | 0.259795i | ||||
\(577\) | − | 1.65668i | − | 0.0689685i | −0.999405 | − | 0.0344842i | \(-0.989021\pi\) | ||
0.999405 | − | 0.0344842i | \(-0.0109789\pi\) | |||||||
\(578\) | −11.3994 | + | 16.1677i | −0.474154 | + | 0.672487i | ||||
\(579\) | −0.744473 | + | 6.14225i | −0.0309392 | + | 0.255263i | ||||
\(580\) | 26.1902 | − | 5.61602i | 1.08749 | − | 0.233192i | ||||
\(581\) | −11.3252 | + | 19.6159i | −0.469849 | + | 0.813803i | ||||
\(582\) | −43.5647 | + | 14.0730i | −1.80582 | + | 0.583347i | ||||
\(583\) | −5.61897 | − | 9.73234i | −0.232714 | − | 0.403072i | ||||
\(584\) | −9.38700 | + | 33.7108i | −0.388437 | + | 1.39496i | ||||
\(585\) | −7.45655 | + | 19.0803i | −0.308290 | + | 0.788875i | ||||
\(586\) | −12.9806 | + | 6.00150i | −0.536222 | + | 0.247920i | ||||
\(587\) | 4.45782 | + | 7.72117i | 0.183994 | + | 0.318687i | 0.943237 | − | 0.332120i | \(-0.107764\pi\) |
−0.759243 | + | 0.650807i | \(0.774431\pi\) | |||||||
\(588\) | 3.58062 | + | 15.8682i | 0.147662 | + | 0.654395i | ||||
\(589\) | −7.63207 | − | 4.40638i | −0.314474 | − | 0.181562i | ||||
\(590\) | 6.10141 | + | 1.37619i | 0.251191 | + | 0.0566567i | ||||
\(591\) | 26.6401 | − | 11.3570i | 1.09583 | − | 0.467164i | ||||
\(592\) | −14.2791 | + | 11.6678i | −0.586867 | + | 0.479543i | ||||
\(593\) | 19.9947 | 0.821083 | 0.410542 | − | 0.911842i | \(-0.365340\pi\) | ||||
0.410542 | + | 0.911842i | \(0.365340\pi\) | |||||||
\(594\) | −4.55567 | + | 9.37400i | −0.186921 | + | 0.384620i | ||||
\(595\) | −5.57397 | + | 42.2032i | −0.228510 | + | 1.73016i | ||||
\(596\) | 28.6481 | + | 5.24420i | 1.17347 | + | 0.214811i | ||||
\(597\) | −4.85485 | + | 2.06968i | −0.198696 | + | 0.0847065i | ||||
\(598\) | 0.782005 | − | 8.61487i | 0.0319785 | − | 0.352288i | ||||
\(599\) | 9.97441 | − | 17.2762i | 0.407543 | − | 0.705886i | −0.587071 | − | 0.809536i | \(-0.699719\pi\) |
0.994614 | + | 0.103650i | \(0.0330523\pi\) | |||||||
\(600\) | −22.6334 | + | 9.36645i | −0.924004 | + | 0.382384i | ||||
\(601\) | 10.5877 | + | 18.3385i | 0.431882 | + | 0.748041i | 0.997035 | − | 0.0769445i | \(-0.0245164\pi\) |
−0.565154 | + | 0.824986i | \(0.691183\pi\) | |||||||
\(602\) | −15.9216 | + | 7.36127i | −0.648915 | + | 0.300023i | ||||
\(603\) | 42.5434 | − | 12.3426i | 1.73250 | − | 0.502628i | ||||
\(604\) | −2.57233 | − | 2.18717i | −0.104667 | − | 0.0889948i | ||||
\(605\) | 18.5720 | − | 7.68373i | 0.755057 | − | 0.312388i | ||||
\(606\) | 1.81675 | + | 5.62394i | 0.0738003 | + | 0.228457i | ||||
\(607\) | −12.0385 | + | 20.8514i | −0.488629 | + | 0.846330i | −0.999914 | − | 0.0130807i | \(-0.995836\pi\) |
0.511285 | + | 0.859411i | \(0.329170\pi\) | |||||||
\(608\) | 0.777282 | + | 10.9338i | 0.0315229 | + | 0.443425i | ||||
\(609\) | 35.2207 | + | 4.26893i | 1.42721 | + | 0.172986i | ||||
\(610\) | −1.45415 | + | 1.57527i | −0.0588768 | + | 0.0637807i | ||||
\(611\) | − | 33.2162i | − | 1.34379i | ||||||
\(612\) | −30.4662 | − | 13.6890i | −1.23152 | − | 0.553343i | ||||
\(613\) | −10.2614 | −0.414456 | −0.207228 | − | 0.978293i | \(-0.566444\pi\) | ||||
−0.207228 | + | 0.978293i | \(0.566444\pi\) | |||||||
\(614\) | 9.33018 | + | 6.57849i | 0.376536 | + | 0.265486i | ||||
\(615\) | 23.6561 | − | 24.1277i | 0.953907 | − | 0.972922i | ||||
\(616\) | −9.60571 | − | 9.79542i | −0.387025 | − | 0.394669i | ||||
\(617\) | 4.51730 | − | 7.82419i | 0.181860 | − | 0.314990i | −0.760654 | − | 0.649157i | \(-0.775122\pi\) |
0.942514 | + | 0.334167i | \(0.108455\pi\) | |||||||
\(618\) | −24.3848 | + | 26.9895i | −0.980900 | + | 1.08568i | ||||
\(619\) | −13.4128 | − | 23.2316i | −0.539106 | − | 0.933758i | −0.998952 | − | 0.0457601i | \(-0.985429\pi\) |
0.459847 | − | 0.887998i | \(-0.347904\pi\) | |||||||
\(620\) | −15.0906 | + | 13.6367i | −0.606052 | + | 0.547663i | ||||
\(621\) | −6.58748 | − | 8.05765i | −0.264346 | − | 0.323342i | ||||
\(622\) | −17.1389 | − | 37.0695i | −0.687209 | − | 1.48635i | ||||
\(623\) | −20.7931 | + | 12.0049i | −0.833057 | + | 0.480966i | ||||
\(624\) | 17.8752 | − | 11.3187i | 0.715582 | − | 0.453110i | ||||
\(625\) | −21.6713 | + | 12.4641i | −0.866854 | + | 0.498563i | ||||
\(626\) | 3.20115 | − | 35.2651i | 0.127944 | − | 1.40948i | ||||
\(627\) | 3.80609 | + | 2.85882i | 0.152001 | + | 0.114170i | ||||
\(628\) | 28.9258 | + | 5.29505i | 1.15427 | + | 0.211295i | ||||
\(629\) | −25.6624 | −1.02323 | ||||||||
\(630\) | −32.3849 | + | 1.96249i | −1.29025 | + | 0.0781873i | ||||
\(631\) | − | 46.1198i | − | 1.83600i | −0.396581 | − | 0.918000i | \(-0.629803\pi\) | ||
0.396581 | − | 0.918000i | \(-0.370197\pi\) | |||||||
\(632\) | 10.1185 | − | 2.60547i | 0.402491 | − | 0.103640i | ||||
\(633\) | −4.42046 | − | 0.535783i | −0.175698 | − | 0.0212955i | ||||
\(634\) | 2.59285 | − | 28.5638i | 0.102975 | − | 1.13441i | ||||
\(635\) | −7.62036 | − | 5.85233i | −0.302405 | − | 0.232243i | ||||
\(636\) | 18.6195 | + | 20.1667i | 0.738310 | + | 0.799660i | ||||
\(637\) | −7.17025 | − | 12.4192i | −0.284096 | − | 0.492068i | ||||
\(638\) | −10.9045 | + | 5.04163i | −0.431712 | + | 0.199600i | ||||
\(639\) | −28.3053 | + | 29.4941i | −1.11974 | + | 1.16677i | ||||
\(640\) | 24.5647 | + | 6.04774i | 0.971005 | + | 0.239058i | ||||
\(641\) | −6.03309 | + | 3.48321i | −0.238293 | + | 0.137578i | −0.614392 | − | 0.789001i | \(-0.710599\pi\) |
0.376099 | + | 0.926579i | \(0.377265\pi\) | |||||||
\(642\) | −39.3236 | − | 8.42852i | −1.55198 | − | 0.332647i | ||||
\(643\) | 21.7228 | + | 12.5416i | 0.856663 | + | 0.494594i | 0.862893 | − | 0.505386i | \(-0.168650\pi\) |
−0.00623069 | + | 0.999981i | \(0.501983\pi\) | |||||||
\(644\) | 12.9041 | − | 4.60167i | 0.508492 | − | 0.181331i | ||||
\(645\) | −3.76919 | − | 13.5313i | −0.148412 | − | 0.532794i | ||||
\(646\) | −8.79044 | + | 12.4674i | −0.345855 | + | 0.490522i | ||||
\(647\) | − | 22.7094i | − | 0.892799i | −0.894834 | − | 0.446400i | \(-0.852706\pi\) | ||
0.894834 | − | 0.446400i | \(-0.147294\pi\) | |||||||
\(648\) | 5.81442 | − | 24.7829i | 0.228412 | − | 0.973565i | ||||
\(649\) | −2.80528 | −0.110117 | ||||||||
\(650\) | 16.5983 | − | 13.8124i | 0.651041 | − | 0.541767i | ||||
\(651\) | −24.7820 | + | 10.5649i | −0.971284 | + | 0.414070i | ||||
\(652\) | −21.6725 | + | 7.72854i | −0.848762 | + | 0.302673i | ||||
\(653\) | −13.1701 | − | 7.60377i | −0.515387 | − | 0.297559i | 0.219659 | − | 0.975577i | \(-0.429506\pi\) |
−0.735045 | + | 0.678018i | \(0.762839\pi\) | |||||||
\(654\) | 0.261810 | − | 1.22149i | 0.0102376 | − | 0.0477639i | ||||
\(655\) | −14.2247 | − | 34.3817i | −0.555803 | − | 1.34340i | ||||
\(656\) | −34.4440 | + | 5.61143i | −1.34481 | + | 0.219090i | ||||
\(657\) | −26.7791 | − | 25.6997i | −1.04475 | − | 1.00264i | ||||
\(658\) | 47.7500 | − | 22.0770i | 1.86149 | − | 0.860652i | ||||
\(659\) | 6.93109 | − | 4.00167i | 0.269997 | − | 0.155883i | −0.358889 | − | 0.933380i | \(-0.616844\pi\) |
0.628886 | + | 0.777497i | \(0.283511\pi\) | |||||||
\(660\) | 8.97818 | − | 6.33151i | 0.349475 | − | 0.246454i | ||||
\(661\) | −12.6305 | − | 7.29221i | −0.491269 | − | 0.283634i | 0.233832 | − | 0.972277i | \(-0.424873\pi\) |
−0.725101 | + | 0.688643i | \(0.758207\pi\) | |||||||
\(662\) | 2.23722 | + | 0.203081i | 0.0869522 | + | 0.00789298i | ||||
\(663\) | 29.2304 | + | 3.54288i | 1.13521 | + | 0.137594i | ||||
\(664\) | 4.67127 | + | 18.1411i | 0.181280 | + | 0.704011i | ||||
\(665\) | −1.94025 | + | 14.6906i | −0.0752397 | + | 0.569676i | ||||
\(666\) | −3.72911 | − | 19.1997i | −0.144500 | − | 0.743972i | ||||
\(667\) | − | 11.9966i | − | 0.464512i | ||||||
\(668\) | 0.512342 | − | 2.79883i | 0.0198231 | − | 0.108290i | ||||
\(669\) | 24.8870 | − | 33.1333i | 0.962187 | − | 1.28101i | ||||
\(670\) | −45.5496 | − | 10.2738i | −1.75973 | − | 0.396912i | ||||
\(671\) | 0.480763 | − | 0.832706i | 0.0185596 | − | 0.0321463i | ||||
\(672\) | 28.1519 | + | 18.1736i | 1.08598 | + | 0.701064i | ||||
\(673\) | −5.20531 | + | 3.00529i | −0.200650 | + | 0.115845i | −0.596959 | − | 0.802272i | \(-0.703624\pi\) |
0.396309 | + | 0.918117i | \(0.370291\pi\) | |||||||
\(674\) | −2.84773 | + | 1.31664i | −0.109691 | + | 0.0507150i | ||||
\(675\) | 2.61652 | − | 25.8487i | 0.100710 | − | 0.994916i | ||||
\(676\) | 4.76011 | − | 5.59836i | 0.183081 | − | 0.215321i | ||||
\(677\) | −2.86348 | + | 1.65323i | −0.110053 | + | 0.0635389i | −0.554016 | − | 0.832506i | \(-0.686905\pi\) |
0.443963 | + | 0.896045i | \(0.353572\pi\) | |||||||
\(678\) | 2.05707 | − | 2.27680i | 0.0790014 | − | 0.0874400i | ||||
\(679\) | 55.3556 | + | 31.9596i | 2.12435 | + | 1.22650i | ||||
\(680\) | 21.1468 | + | 28.1485i | 0.810944 | + | 1.07945i | ||||
\(681\) | −23.9327 | + | 31.8628i | −0.917104 | + | 1.22099i | ||||
\(682\) | 5.25667 | − | 7.45547i | 0.201288 | − | 0.285485i | ||||
\(683\) | 0.637340 | 0.0243872 | 0.0121936 | − | 0.999926i | \(-0.496119\pi\) | ||||
0.0121936 | + | 0.999926i | \(0.496119\pi\) | |||||||
\(684\) | −10.6050 | − | 4.76501i | −0.405493 | − | 0.182195i | ||||
\(685\) | −3.27778 | + | 24.8177i | −0.125238 | + | 0.948236i | ||||
\(686\) | −6.42144 | + | 9.10745i | −0.245172 | + | 0.347724i | ||||
\(687\) | 4.44811 | − | 36.6990i | 0.169706 | − | 1.40015i | ||||
\(688\) | −5.13902 | + | 13.5664i | −0.195923 | + | 0.517213i | ||||
\(689\) | −20.9551 | − | 12.0984i | −0.798324 | − | 0.460913i | ||||
\(690\) | 1.97640 | + | 10.7912i | 0.0752403 | + | 0.410814i | ||||
\(691\) | 2.21419 | + | 3.83509i | 0.0842317 | + | 0.145894i | 0.905064 | − | 0.425276i | \(-0.139823\pi\) |
−0.820832 | + | 0.571170i | \(0.806490\pi\) | |||||||
\(692\) | −18.7123 | − | 15.9105i | −0.711335 | − | 0.604826i | ||||
\(693\) | 13.9753 | − | 4.05446i | 0.530877 | − | 0.154016i | ||||
\(694\) | −4.71113 | − | 10.1896i | −0.178832 | − | 0.386793i | ||||
\(695\) | 22.4655 | − | 9.29459i | 0.852164 | − | 0.352564i | ||||
\(696\) | 23.2697 | − | 17.8741i | 0.882034 | − | 0.677517i | ||||
\(697\) | −42.0601 | − | 24.2834i | −1.59314 | − | 0.919800i | ||||
\(698\) | 2.37221 | − | 26.1332i | 0.0897895 | − | 0.989157i | ||||
\(699\) | −19.9742 | − | 46.8534i | −0.755493 | − | 1.77216i | ||||
\(700\) | 30.8881 | + | 14.6806i | 1.16746 | + | 0.554875i | ||||
\(701\) | 39.0099 | 1.47338 | 0.736691 | − | 0.676230i | \(-0.236387\pi\) | ||||
0.736691 | + | 0.676230i | \(0.236387\pi\) | |||||||
\(702\) | 1.59693 | + | 22.3839i | 0.0602724 | + | 0.844827i | ||||
\(703\) | −8.93285 | −0.336909 | ||||||||
\(704\) | −11.3443 | − | 0.221871i | −0.427554 | − | 0.00836207i | ||||
\(705\) | 11.3041 | + | 40.5814i | 0.425737 | + | 1.52838i | ||||
\(706\) | 21.9661 | + | 1.99394i | 0.826703 | + | 0.0750430i | ||||
\(707\) | 4.12579 | − | 7.14607i | 0.155166 | − | 0.268756i | ||||
\(708\) | 6.68362 | − | 1.50814i | 0.251186 | − | 0.0566794i | ||||
\(709\) | −0.866919 | + | 0.500516i | −0.0325578 | + | 0.0187973i | −0.516191 | − | 0.856474i | \(-0.672650\pi\) |
0.483633 | + | 0.875271i | \(0.339317\pi\) | |||||||
\(710\) | 41.1432 | − | 12.8064i | 1.54408 | − | 0.480616i | ||||
\(711\) | −2.64758 | + | 10.7614i | −0.0992921 | + | 0.403585i | ||||
\(712\) | −5.32669 | + | 19.1293i | −0.199626 | + | 0.716901i | ||||
\(713\) | 4.55474 | + | 7.88904i | 0.170576 | + | 0.295447i | ||||
\(714\) | 14.3348 | + | 44.3749i | 0.536465 | + | 1.66069i | ||||
\(715\) | −5.89901 | + | 7.68114i | −0.220610 | + | 0.287258i | ||||
\(716\) | −13.0974 | + | 4.67060i | −0.489472 | + | 0.174549i | ||||
\(717\) | −0.987949 | − | 0.119745i | −0.0368956 | − | 0.00447195i | ||||
\(718\) | −10.5107 | + | 14.9072i | −0.392256 | + | 0.556331i | ||||
\(719\) | 14.8920 | 0.555377 | 0.277688 | − | 0.960671i | \(-0.410432\pi\) | ||||
0.277688 | + | 0.960671i | \(0.410432\pi\) | |||||||
\(720\) | −17.9868 | + | 19.9117i | −0.670328 | + | 0.742065i | ||||
\(721\) | 50.7843 | 1.89131 | ||||||||
\(722\) | 12.4238 | − | 17.6205i | 0.462366 | − | 0.655768i | ||||
\(723\) | 24.4832 | − | 32.5957i | 0.910540 | − | 1.21225i | ||||
\(724\) | 13.9880 | − | 4.98819i | 0.519859 | − | 0.185384i | ||||
\(725\) | 21.1934 | − | 21.1583i | 0.787104 | − | 0.785799i | ||||
\(726\) | 14.7601 | − | 16.3367i | 0.547799 | − | 0.606312i | ||||
\(727\) | 12.5597 | + | 21.7540i | 0.465812 | + | 0.806810i | 0.999238 | − | 0.0390367i | \(-0.0124289\pi\) |
−0.533426 | + | 0.845847i | \(0.679096\pi\) | |||||||
\(728\) | −28.4569 | − | 7.92403i | −1.05468 | − | 0.293684i | ||||
\(729\) | 20.2327 | + | 17.8784i | 0.749360 | + | 0.662163i | ||||
\(730\) | 11.6276 | + | 37.3559i | 0.430356 | + | 1.38261i | ||||
\(731\) | −17.4844 | + | 10.0946i | −0.646682 | + | 0.373362i | ||||
\(732\) | −0.697757 | + | 2.24240i | −0.0257898 | + | 0.0828815i | ||||
\(733\) | 15.2704 | − | 26.4492i | 0.564026 | − | 0.976922i | −0.433113 | − | 0.901339i | \(-0.642585\pi\) |
0.997140 | − | 0.0755826i | \(-0.0240817\pi\) | |||||||
\(734\) | −30.0979 | − | 2.73210i | −1.11093 | − | 0.100844i | ||||
\(735\) | 12.9866 | + | 12.7328i | 0.479019 | + | 0.469657i | ||||
\(736\) | 4.95517 | − | 10.1895i | 0.182650 | − | 0.375591i | ||||
\(737\) | 20.9426 | 0.771429 | ||||||||
\(738\) | 12.0560 | − | 34.9966i | 0.443789 | − | 1.28824i | ||||
\(739\) | 10.1478 | 0.373292 | 0.186646 | − | 0.982427i | \(-0.440238\pi\) | ||||
0.186646 | + | 0.982427i | \(0.440238\pi\) | |||||||
\(740\) | −6.33565 | + | 19.6188i | −0.232903 | + | 0.721201i | ||||
\(741\) | 10.1748 | + | 1.23324i | 0.373782 | + | 0.0453044i | ||||
\(742\) | 3.46439 | − | 38.1651i | 0.127182 | − | 1.40109i | ||||
\(743\) | −11.6247 | − | 6.71153i | −0.426469 | − | 0.246222i | 0.271372 | − | 0.962475i | \(-0.412523\pi\) |
−0.697841 | + | 0.716252i | \(0.745856\pi\) | |||||||
\(744\) | −8.51599 | + | 20.5888i | −0.312211 | + | 0.754823i | ||||
\(745\) | 30.0883 | − | 12.4484i | 1.10235 | − | 0.456072i | ||||
\(746\) | −15.8582 | − | 34.2994i | −0.580610 | − | 1.25579i | ||||
\(747\) | −19.2939 | − | 4.74677i | −0.705926 | − | 0.173675i | ||||
\(748\) | −12.0299 | − | 10.2286i | −0.439856 | − | 0.373996i | ||||
\(749\) | 28.0749 | + | 48.6272i | 1.02584 | + | 1.77680i | ||||
\(750\) | −15.5781 | + | 22.5238i | −0.568833 | + | 0.822453i | ||||
\(751\) | −16.6827 | − | 9.63177i | −0.608761 | − | 0.351468i | 0.163719 | − | 0.986507i | \(-0.447651\pi\) |
−0.772480 | + | 0.635039i | \(0.780984\pi\) | |||||||
\(752\) | 15.4123 | − | 40.6866i | 0.562029 | − | 1.48369i | ||||
\(753\) | 5.81882 | − | 2.48063i | 0.212050 | − | 0.0903994i | ||||
\(754\) | −14.9056 | + | 21.1404i | −0.542830 | + | 0.769888i | ||||
\(755\) | −3.74252 | − | 0.494291i | −0.136204 | − | 0.0179891i | ||||
\(756\) | −31.1167 | + | 17.1731i | −1.13170 | + | 0.624578i | ||||
\(757\) | 23.7562 | 0.863433 | 0.431717 | − | 0.902009i | \(-0.357908\pi\) | ||||
0.431717 | + | 0.902009i | \(0.357908\pi\) | |||||||
\(758\) | −1.53680 | + | 2.17962i | −0.0558189 | + | 0.0791673i | ||||
\(759\) | −1.92962 | − | 4.52630i | −0.0700407 | − | 0.164294i | ||||
\(760\) | 7.36103 | + | 9.79827i | 0.267013 | + | 0.355420i | ||||
\(761\) | 11.7336 | + | 6.77437i | 0.425341 | + | 0.245571i | 0.697360 | − | 0.716721i | \(-0.254358\pi\) |
−0.272019 | + | 0.962292i | \(0.587691\pi\) | |||||||
\(762\) | −10.2916 | − | 2.20588i | −0.372826 | − | 0.0799106i | ||||
\(763\) | −1.51048 | + | 0.872075i | −0.0546830 | + | 0.0315712i | ||||
\(764\) | −12.0437 | + | 14.1646i | −0.435727 | + | 0.512457i | ||||
\(765\) | −36.9174 | + | 5.61919i | −1.33475 | + | 0.203162i | ||||
\(766\) | 15.7627 | − | 7.28782i | 0.569530 | − | 0.263320i | ||||
\(767\) | −5.23092 | + | 3.02007i | −0.188878 | + | 0.109049i | ||||
\(768\) | 27.1472 | − | 5.57018i | 0.979592 | − | 0.200996i | ||||
\(769\) | 5.93118 | − | 10.2731i | 0.213884 | − | 0.370458i | −0.739043 | − | 0.673658i | \(-0.764722\pi\) |
0.952927 | + | 0.303201i | \(0.0980553\pi\) | |||||||
\(770\) | −14.9628 | − | 3.37489i | −0.539221 | − | 0.121623i | ||||
\(771\) | −34.1164 | − | 4.13509i | −1.22867 | − | 0.148922i | ||||
\(772\) | 1.28644 | − | 7.02759i | 0.0463000 | − | 0.252928i | ||||
\(773\) | − | 18.9610i | − | 0.681980i | −0.940067 | − | 0.340990i | \(-0.889238\pi\) | ||
0.940067 | − | 0.340990i | \(-0.110762\pi\) | |||||||
\(774\) | −10.0931 | − | 11.6143i | −0.362790 | − | 0.417467i | ||||
\(775\) | −5.90375 | + | 21.9602i | −0.212069 | + | 0.788835i | ||||
\(776\) | 51.1938 | − | 13.1822i | 1.83775 | − | 0.473215i | ||||
\(777\) | −16.3999 | + | 21.8340i | −0.588343 | + | 0.783291i | ||||
\(778\) | −38.9900 | − | 3.53927i | −1.39786 | − | 0.126889i | ||||
\(779\) | −14.6408 | − | 8.45285i | −0.524560 | − | 0.302855i | ||||
\(780\) | 9.92505 | − | 21.4718i | 0.355374 | − | 0.768814i | ||||
\(781\) | −16.7371 | + | 9.66315i | −0.598899 | + | 0.345775i | ||||
\(782\) | 14.3126 | − | 6.61739i | 0.511819 | − | 0.236637i | ||||
\(783\) | 5.01200 | + | 30.7158i | 0.179114 | + | 1.09769i | ||||
\(784\) | −3.02033 | − | 18.5393i | −0.107869 | − | 0.662119i | ||||
\(785\) | 30.3800 | − | 12.5691i | 1.08431 | − | 0.448609i | ||||
\(786\) | −30.2436 | − | 27.3249i | −1.07875 | − | 0.974647i | ||||
\(787\) | 33.6917 | + | 19.4519i | 1.20098 | + | 0.693386i | 0.960773 | − | 0.277336i | \(-0.0894515\pi\) |
0.240207 | + | 0.970722i | \(0.422785\pi\) | |||||||
\(788\) | −31.4972 | + | 11.2321i | −1.12204 | + | 0.400126i | ||||
\(789\) | 29.6171 | + | 22.2459i | 1.05440 | + | 0.791975i | ||||
\(790\) | 7.92370 | − | 8.58368i | 0.281913 | − | 0.305394i | ||||
\(791\) | −4.28411 | −0.152325 | ||||||||
\(792\) | 5.90458 | − | 10.4867i | 0.209810 | − | 0.372628i | ||||
\(793\) | − | 2.07030i | − | 0.0735184i | ||||||
\(794\) | −20.0967 | + | 28.5029i | −0.713205 | + | 1.01153i | ||||
\(795\) | 29.7188 | + | 7.64963i | 1.05402 | + | 0.271304i | ||||
\(796\) | 5.74000 | − | 2.04692i | 0.203449 | − | 0.0725511i | ||||
\(797\) | −9.04532 | − | 5.22232i | −0.320402 | − | 0.184984i | 0.331170 | − | 0.943571i | \(-0.392557\pi\) |
−0.651572 | + | 0.758587i | \(0.725890\pi\) | |||||||
\(798\) | 4.98981 | + | 15.4465i | 0.176637 | + | 0.546801i | ||||
\(799\) | 52.4369 | − | 30.2745i | 1.85509 | − | 1.07103i | ||||
\(800\) | 26.7403 | − | 9.21722i | 0.945412 | − | 0.325878i | ||||
\(801\) | −15.1959 | − | 14.5834i | −0.536922 | − | 0.515280i | ||||
\(802\) | 15.8946 | − | 7.34882i | 0.561260 | − | 0.259496i | ||||
\(803\) | −8.77365 | − | 15.1964i | −0.309615 | − | 0.536270i | ||||
\(804\) | −49.8960 | + | 11.2589i | −1.75970 | + | 0.397071i | ||||
\(805\) | 9.32949 | − | 12.1480i | 0.328821 | − | 0.428161i | ||||
\(806\) | 1.77564 | − | 19.5612i | 0.0625443 | − | 0.689013i | ||||
\(807\) | 2.30719 | + | 5.41197i | 0.0812169 | + | 0.190510i | ||||
\(808\) | −1.70175 | − | 6.60882i | −0.0598673 | − | 0.232497i | ||||
\(809\) | 19.8027i | 0.696226i | 0.937453 | + | 0.348113i | \(0.113177\pi\) | ||||
−0.937453 | + | 0.348113i | \(0.886823\pi\) | |||||||
\(810\) | −9.56870 | − | 26.8037i | −0.336210 | − | 0.941787i | ||||
\(811\) | 15.5879 | 0.547364 | 0.273682 | − | 0.961820i | \(-0.411758\pi\) | ||||
0.273682 | + | 0.961820i | \(0.411758\pi\) | |||||||
\(812\) | −40.2974 | − | 7.37667i | −1.41416 | − | 0.258870i | ||||
\(813\) | −5.01136 | + | 2.13640i | −0.175756 | + | 0.0749270i | ||||
\(814\) | 0.835915 | − | 9.20877i | 0.0292988 | − | 0.322767i | ||||
\(815\) | −15.6690 | + | 20.4027i | −0.548860 | + | 0.714675i | ||||
\(816\) | 34.1604 | + | 17.9025i | 1.19585 | + | 0.626714i | ||||
\(817\) | −6.08615 | + | 3.51384i | −0.212928 | + | 0.122934i | ||||
\(818\) | 18.6369 | + | 40.3095i | 0.651625 | + | 1.40939i | ||||
\(819\) | 21.6944 | − | 22.6056i | 0.758065 | − | 0.789904i | ||||
\(820\) | −28.9486 | + | 26.1596i | −1.01093 | + | 0.913532i | ||||
\(821\) | −20.0595 | − | 34.7441i | −0.700082 | − | 1.21258i | −0.968437 | − | 0.249258i | \(-0.919813\pi\) |
0.268355 | − | 0.963320i | \(-0.413520\pi\) | |||||||
\(822\) | 8.42959 | + | 26.0948i | 0.294016 | + | 0.910159i | ||||
\(823\) | 7.61400 | − | 13.1878i | 0.265407 | − | 0.459699i | −0.702263 | − | 0.711918i | \(-0.747827\pi\) |
0.967670 | + | 0.252219i | \(0.0811603\pi\) | |||||||
\(824\) | 29.9880 | − | 29.4072i | 1.04468 | − | 1.02445i | ||||
\(825\) | 4.59298 | − | 11.3918i | 0.159907 | − | 0.396613i | ||||
\(826\) | −7.81822 | − | 5.51244i | −0.272031 | − | 0.191802i | ||||
\(827\) | −38.9725 | −1.35521 | −0.677603 | − | 0.735428i | \(-0.736981\pi\) | ||||
−0.677603 | + | 0.735428i | \(0.736981\pi\) | |||||||
\(828\) | 7.03073 | + | 9.74661i | 0.244335 | + | 0.338718i | ||||
\(829\) | 55.7978i | 1.93794i | 0.247180 | + | 0.968969i | \(0.420496\pi\) | ||||
−0.247180 | + | 0.968969i | \(0.579504\pi\) | |||||||
\(830\) | 15.3894 | + | 14.2062i | 0.534175 | + | 0.493104i | ||||
\(831\) | −1.37389 | + | 1.82912i | −0.0476596 | + | 0.0634516i | ||||
\(832\) | −21.3922 | + | 11.7992i | −0.741642 | + | 0.409063i | ||||
\(833\) | 13.0705 | − | 22.6387i | 0.452864 | − | 0.784384i | ||||
\(834\) | 17.8545 | − | 19.7616i | 0.618250 | − | 0.684289i | ||||
\(835\) | −1.21617 | − | 2.93953i | −0.0420872 | − | 0.101727i | ||||
\(836\) | −4.18750 | − | 3.56050i | −0.144828 | − | 0.123142i | ||||
\(837\) | −14.9577 | − | 18.2959i | −0.517014 | − | 0.632400i | ||||
\(838\) | −31.7744 | + | 14.6908i | −1.09763 | + | 0.507484i | ||||
\(839\) | −11.2520 | − | 19.4891i | −0.388464 | − | 0.672839i | 0.603779 | − | 0.797151i | \(-0.293661\pi\) |
−0.992243 | + | 0.124313i | \(0.960327\pi\) | |||||||
\(840\) | 37.4635 | − | 0.00338368i | 1.29261 | − | 0.000116748i | ||||
\(841\) | −3.43670 | + | 5.95253i | −0.118507 | + | 0.205260i | ||||
\(842\) | −2.44853 | + | 26.9740i | −0.0843820 | + | 0.929585i | ||||
\(843\) | 12.4380 | + | 9.34238i | 0.428387 | + | 0.321769i | ||||
\(844\) | 5.05762 | + | 0.925828i | 0.174091 | + | 0.0318683i | ||||
\(845\) | 1.07576 | − | 8.14512i | 0.0370073 | − | 0.280201i | ||||
\(846\) | 30.2701 | + | 34.8321i | 1.04071 | + | 1.19755i | ||||
\(847\) | −30.7397 | −1.05623 | ||||||||
\(848\) | −20.0542 | − | 24.5425i | −0.688665 | − | 0.842793i | ||||
\(849\) | 0.176822 | − | 1.45886i | 0.00606850 | − | 0.0500679i | ||||
\(850\) | 36.9334 | + | 13.6139i | 1.26680 | + | 0.466953i | ||||
\(851\) | 7.99655 | + | 4.61681i | 0.274118 | + | 0.158262i | ||||
\(852\) | 34.6814 | − | 32.0206i | 1.18816 | − | 1.09701i | ||||
\(853\) | 7.72252 | + | 13.3758i | 0.264414 | + | 0.457978i | 0.967410 | − | 0.253215i | \(-0.0814881\pi\) |
−0.702996 | + | 0.711194i | \(0.748155\pi\) | |||||||
\(854\) | 2.97616 | − | 1.37601i | 0.101842 | − | 0.0470863i | ||||
\(855\) | −12.8506 | + | 1.95599i | −0.439482 | + | 0.0668935i | ||||
\(856\) | 44.7363 | + | 12.4571i | 1.52906 | + | 0.425776i | ||||
\(857\) | 6.56783 | + | 11.3758i | 0.224353 | + | 0.388591i | 0.956125 | − | 0.292959i | \(-0.0946398\pi\) |
−0.731772 | + | 0.681549i | \(0.761307\pi\) | |||||||
\(858\) | −2.22347 | + | 10.3737i | −0.0759082 | + | 0.354153i | ||||
\(859\) | −21.3607 | + | 36.9978i | −0.728818 | + | 1.26235i | 0.228565 | + | 0.973529i | \(0.426597\pi\) |
−0.957383 | + | 0.288821i | \(0.906737\pi\) | |||||||
\(860\) | 3.40066 | + | 15.8589i | 0.115961 | + | 0.540785i | ||||
\(861\) | −47.5399 | + | 20.2668i | −1.62015 | + | 0.690692i | ||||
\(862\) | 0.474094 | − | 0.672402i | 0.0161477 | − | 0.0229021i | ||||
\(863\) | − | 20.6871i | − | 0.704196i | −0.935963 | − | 0.352098i | \(-0.885468\pi\) | ||
0.935963 | − | 0.352098i | \(-0.114532\pi\) | |||||||
\(864\) | −8.43005 | + | 28.1591i | −0.286796 | + | 0.957992i | ||||
\(865\) | −27.2248 | − | 3.59570i | −0.925670 | − | 0.122257i | ||||
\(866\) | 30.8400 | + | 21.7445i | 1.04798 | + | 0.738909i | ||||
\(867\) | 9.50145 | + | 22.2875i | 0.322686 | + | 0.756924i | ||||
\(868\) | 29.3004 | − | 10.4487i | 0.994519 | − | 0.354651i | ||||
\(869\) | −2.61969 | + | 4.53744i | −0.0888670 | + | 0.153922i | ||||
\(870\) | 11.0162 | − | 30.9006i | 0.373483 | − | 1.04763i | ||||
\(871\) | 39.0510 | − | 22.5461i | 1.32319 | − | 0.763946i | ||||
\(872\) | −0.386948 | + | 1.38962i | −0.0131037 | + | 0.0470583i | ||||
\(873\) | −13.3953 | + | 54.4469i | −0.453362 | + | 1.84275i | ||||
\(874\) | 4.98211 | − | 2.30346i | 0.168522 | − | 0.0779156i | ||||
\(875\) | 37.9151 | − | 4.94363i | 1.28176 | − | 0.167125i | ||||
\(876\) | 29.0731 | + | 31.4889i | 0.982290 | + | 1.06391i | ||||
\(877\) | −11.2431 | + | 19.4737i | −0.379653 | + | 0.657579i | −0.991012 | − | 0.133775i | \(-0.957290\pi\) |
0.611359 | + | 0.791354i | \(0.290623\pi\) | |||||||
\(878\) | 1.02487 | − | 11.2903i | 0.0345875 | − | 0.381030i | ||||
\(879\) | −2.10747 | + | 17.3876i | −0.0710831 | + | 0.586469i | ||||
\(880\) | −10.7897 | + | 6.67150i | −0.363722 | + | 0.224896i | ||||
\(881\) | − | 4.92044i | − | 0.165774i | −0.996559 | − | 0.0828870i | \(-0.973586\pi\) | ||
0.996559 | − | 0.0828870i | \(-0.0264140\pi\) | |||||||
\(882\) | 18.8368 | + | 6.48912i | 0.634267 | + | 0.218500i | ||||
\(883\) | 12.2664i | 0.412796i | 0.978468 | + | 0.206398i | \(0.0661742\pi\) | ||||
−0.978468 | + | 0.206398i | \(0.933826\pi\) | |||||||
\(884\) | −33.4436 | − | 6.12205i | −1.12483 | − | 0.205907i | ||||
\(885\) | 5.36300 | − | 5.46990i | 0.180275 | − | 0.183869i | ||||
\(886\) | 2.38606 | + | 0.216592i | 0.0801612 | + | 0.00727654i | ||||
\(887\) | 25.0638 | + | 14.4706i | 0.841560 | + | 0.485875i | 0.857794 | − | 0.513994i | \(-0.171834\pi\) |
−0.0162345 | + | 0.999868i | \(0.505168\pi\) | |||||||
\(888\) | 2.95913 | + | 22.3895i | 0.0993020 | + | 0.751341i | ||||
\(889\) | 7.34767 | + | 12.7265i | 0.246433 | + | 0.426834i | ||||
\(890\) | 6.59811 | + | 21.1978i | 0.221169 | + | 0.710551i | ||||
\(891\) | 6.83154 | + | 10.7828i | 0.228865 | + | 0.361238i | ||||
\(892\) | −30.9953 | + | 36.4536i | −1.03780 | + | 1.22056i | ||||
\(893\) | 18.2528 | − | 10.5383i | 0.610808 | − | 0.352650i | ||||
\(894\) | 23.9127 | − | 26.4670i | 0.799761 | − | 0.885188i | ||||
\(895\) | −9.46925 | + | 12.3300i | −0.316522 | + | 0.412146i | ||||
\(896\) | −31.1802 | − | 22.9102i | −1.04166 | − | 0.765375i | ||||
\(897\) | −8.47098 | − | 6.36270i | −0.282838 | − | 0.212444i | ||||
\(898\) | −10.4857 | − | 7.39321i | −0.349912 | − | 0.246714i | ||||
\(899\) | − | 27.2399i | − | 0.908503i | ||||||
\(900\) | −4.81850 | + | 29.6105i | −0.160617 | + | 0.987017i | ||||
\(901\) | − | 44.1077i | − | 1.46944i | ||||||
\(902\) | 10.0840 | − | 14.3020i | 0.335760 | − | 0.476204i | ||||
\(903\) | −2.58496 | + | 21.3271i | −0.0860220 | + | 0.709722i | ||||
\(904\) | −2.52975 | + | 2.48076i | −0.0841384 | + | 0.0825089i | ||||
\(905\) | 10.1131 | − | 13.1684i | 0.336172 | − | 0.437732i | ||||
\(906\) | −3.93510 | + | 1.27119i | −0.130735 | + | 0.0422323i | ||||
\(907\) | −20.5974 | + | 11.8919i | −0.683927 | + | 0.394865i | −0.801333 | − | 0.598219i | \(-0.795875\pi\) |
0.117406 | + | 0.993084i | \(0.462542\pi\) | |||||||
\(908\) | 29.8068 | − | 35.0558i | 0.989175 | − | 1.16337i | ||||
\(909\) | 7.02877 | + | 1.72925i | 0.233130 | + | 0.0573557i | ||||
\(910\) | −31.5340 | + | 9.81541i | −1.04534 | + | 0.325378i | ||||
\(911\) | −11.6298 | − | 20.1434i | −0.385313 | − | 0.667382i | 0.606499 | − | 0.795084i | \(-0.292573\pi\) |
−0.991813 | + | 0.127702i | \(0.959240\pi\) | |||||||
\(912\) | 11.8909 | + | 6.23172i | 0.393749 | + | 0.206353i | ||||
\(913\) | −8.13504 | − | 4.69677i | −0.269231 | − | 0.155440i | ||||
\(914\) | −2.81769 | + | 31.0407i | −0.0932008 | + | 1.02674i | ||||
\(915\) | 0.704561 | + | 2.52935i | 0.0232921 | + | 0.0836178i | ||||
\(916\) | −7.68629 | + | 41.9887i | −0.253962 | + | 1.38735i | ||||
\(917\) | 56.9075i | 1.87925i | ||||||||
\(918\) | −33.8810 | + | 22.9225i | −1.11824 | + | 0.756557i | ||||
\(919\) | 33.3802i | 1.10111i | 0.834798 | + | 0.550556i | \(0.185584\pi\) | ||||
−0.834798 | + | 0.550556i | \(0.814416\pi\) | |||||||
\(920\) | −1.52539 | − | 12.5757i | −0.0502907 | − | 0.414608i | ||||
\(921\) | 12.8619 | − | 5.48318i | 0.423813 | − | 0.180677i | ||||
\(922\) | −11.7843 | − | 1.06971i | −0.388096 | − | 0.0352289i | ||||
\(923\) | −20.8061 | + | 36.0372i | −0.684841 | + | 1.18618i | ||||
\(924\) | −16.3906 | + | 3.69849i | −0.539210 | + | 0.121671i | ||||
\(925\) | 5.94728 | + | 22.2694i | 0.195545 | + | 0.732213i | ||||
\(926\) | −15.4956 | − | 33.5151i | −0.509216 | − | 1.10138i | ||||
\(927\) | 12.4125 | + | 42.7844i | 0.407679 | + | 1.40522i | ||||
\(928\) | −28.0670 | + | 18.9787i | −0.921345 | + | 0.623007i | ||||
\(929\) | 24.5035 | − | 14.1471i | 0.803934 | − | 0.464152i | −0.0409108 | − | 0.999163i | \(-0.513026\pi\) |
0.844845 | + | 0.535011i | \(0.179693\pi\) | |||||||
\(930\) | 4.48767 | + | 24.5028i | 0.147157 | + | 0.803479i | ||||
\(931\) | 4.54971 | − | 7.88033i | 0.149111 | − | 0.258267i | ||||
\(932\) | 19.7545 | + | 55.3959i | 0.647080 | + | 1.81455i | ||||
\(933\) | −49.6550 | − | 6.01845i | −1.62563 | − | 0.197035i | ||||
\(934\) | 12.3260 | − | 17.4818i | 0.403318 | − | 0.572021i | ||||
\(935\) | −17.5024 | − | 2.31162i | −0.572391 | − | 0.0755982i | ||||
\(936\) | −0.279532 | − | 25.9109i | −0.00913677 | − | 0.846925i | ||||
\(937\) | − | 52.5703i | − | 1.71740i | −0.512480 | − | 0.858699i | \(-0.671273\pi\) | ||
0.512480 | − | 0.858699i | \(-0.328727\pi\) | |||||||
\(938\) | 58.3663 | + | 41.1527i | 1.90573 | + | 1.34368i | ||||
\(939\) | −34.6761 | − | 26.0458i | −1.13161 | − | 0.849972i | ||||
\(940\) | −10.1988 | − | 47.5621i | −0.332649 | − | 1.55131i | ||||
\(941\) | 18.9477 | − | 32.8183i | 0.617676 | − | 1.06985i | −0.372232 | − | 0.928140i | \(-0.621408\pi\) |
0.989909 | − | 0.141707i | \(-0.0452591\pi\) | |||||||
\(942\) | 24.1446 | − | 26.7236i | 0.786673 | − | 0.870702i | ||||
\(943\) | 8.73746 | + | 15.1337i | 0.284531 | + | 0.492822i | ||||
\(944\) | −7.80867 | + | 1.27215i | −0.254151 | + | 0.0414049i | ||||
\(945\) | −18.8117 | + | 35.0010i | −0.611944 | + | 1.13858i | ||||
\(946\) | −3.05285 | − | 6.60296i | −0.0992567 | − | 0.214681i | ||||
\(947\) | −29.3171 | − | 50.7788i | −0.952679 | − | 1.65009i | −0.739593 | − | 0.673054i | \(-0.764982\pi\) |
−0.213085 | − | 0.977034i | \(-0.568351\pi\) | |||||||
\(948\) | 3.80210 | − | 12.2189i | 0.123486 | − | 0.396852i | ||||
\(949\) | −32.7200 | − | 18.8909i | −1.06214 | − | 0.613224i | ||||
\(950\) | 12.8562 | + | 4.73888i | 0.417110 | + | 0.153750i | ||||
\(951\) | −28.0867 | − | 21.0964i | −0.910774 | − | 0.684098i | ||||
\(952\) | −13.4274 | − | 52.1459i | −0.435184 | − | 1.69006i | ||||
\(953\) | 47.0453 | 1.52395 | 0.761973 | − | 0.647609i | \(-0.224231\pi\) | ||||
0.761973 | + | 0.647609i | \(0.224231\pi\) | |||||||
\(954\) | 32.9998 | − | 6.40948i | 1.06841 | − | 0.207515i | ||||
\(955\) | −2.72182 | + | 20.6083i | −0.0880762 | + | 0.666868i | ||||
\(956\) | 1.13035 | + | 0.206918i | 0.0365582 | + | 0.00669219i | ||||
\(957\) | −1.77040 | + | 14.6066i | −0.0572290 | + | 0.472165i | ||||
\(958\) | 20.9550 | + | 1.90217i | 0.677026 | + | 0.0614562i | ||||
\(959\) | 19.1434 | − | 33.1574i | 0.618173 | − | 1.07071i | ||||
\(960\) | 22.1201 | − | 21.6956i | 0.713924 | − | 0.700224i | ||||
\(961\) | −5.15788 | − | 8.93370i | −0.166383 | − | 0.288184i | ||||
\(962\) | −8.35517 | − | 18.0713i | −0.269381 | − | 0.582641i | ||||
\(963\) | −34.1051 | + | 35.5376i | −1.09902 | + | 1.14518i | ||||
\(964\) | −30.4924 | + | 35.8621i | −0.982095 | + | 1.15504i | ||||
\(965\) | −3.05368 | − | 7.38088i | −0.0983013 | − | 0.237599i | ||||
\(966\) | 3.51650 | − | 16.4064i | 0.113142 | − | 0.527867i | ||||
\(967\) | 17.7621 | − | 30.7649i | 0.571191 | − | 0.989331i | −0.425254 | − | 0.905074i | \(-0.639815\pi\) |
0.996444 | − | 0.0842568i | \(-0.0268516\pi\) | |||||||
\(968\) | −18.1517 | + | 17.8002i | −0.583418 | + | 0.572120i | ||||
\(969\) | 7.32685 | + | 17.1866i | 0.235372 | + | 0.552112i | ||||
\(970\) | 40.0896 | − | 43.4287i | 1.28720 | − | 1.39441i | ||||
\(971\) | − | 25.3826i | − | 0.814566i | −0.913302 | − | 0.407283i | \(-0.866476\pi\) | ||
0.913302 | − | 0.407283i | \(-0.133524\pi\) | |||||||
\(972\) | −22.0732 | − | 22.0176i | −0.707999 | − | 0.706214i | ||||
\(973\) | −37.1842 | −1.19207 | ||||||||
\(974\) | −24.7202 | + | 35.0603i | −0.792086 | + | 1.12340i | ||||
\(975\) | −3.69971 | − | 26.1867i | −0.118486 | − | 0.838646i | ||||
\(976\) | 0.960617 | − | 2.53591i | 0.0307486 | − | 0.0811725i | ||||
\(977\) | 4.17627 | − | 7.23351i | 0.133611 | − | 0.231421i | −0.791455 | − | 0.611227i | \(-0.790676\pi\) |
0.925066 | + | 0.379807i | \(0.124009\pi\) | |||||||
\(978\) | −5.90600 | + | 27.5547i | −0.188853 | + | 0.881103i | ||||
\(979\) | −4.97864 | − | 8.62326i | −0.159118 | − | 0.275601i | ||||
\(980\) | −14.0803 | − | 15.5815i | −0.449778 | − | 0.497731i | ||||
\(981\) | −1.10388 | − | 1.05939i | −0.0352442 | − | 0.0338236i | ||||
\(982\) | −8.84619 | + | 4.09000i | −0.282293 | + | 0.130517i | ||||
\(983\) | 19.8624 | − | 11.4676i | 0.633514 | − | 0.365759i | −0.148598 | − | 0.988898i | \(-0.547476\pi\) |
0.782112 | + | 0.623138i | \(0.214143\pi\) | |||||||
\(984\) | −16.3364 | + | 39.4960i | −0.520786 | + | 1.25909i | ||||
\(985\) | −22.7721 | + | 29.6517i | −0.725579 | + | 0.944781i | ||||
\(986\) | −46.9589 | − | 4.26264i | −1.49548 | − | 0.135750i | ||||
\(987\) | 7.75249 | − | 63.9616i | 0.246765 | − | 2.03592i | ||||
\(988\) | −11.6414 | − | 2.13103i | −0.370363 | − | 0.0677972i | ||||
\(989\) | 7.26431 | 0.230992 | ||||||||
\(990\) | −0.813878 | − | 13.4306i | −0.0258667 | − | 0.426853i | ||||
\(991\) | 25.1720i | 0.799616i | 0.916599 | + | 0.399808i | \(0.130923\pi\) | ||||
−0.916599 | + | 0.399808i | \(0.869077\pi\) | |||||||
\(992\) | 11.2514 | − | 23.1366i | 0.357231 | − | 0.734588i | ||||
\(993\) | 1.65235 | − | 2.19986i | 0.0524357 | − | 0.0698103i | ||||
\(994\) | −65.6340 | − | 5.95785i | −2.08179 | − | 0.188972i | ||||
\(995\) | 4.14995 | − | 5.40368i | 0.131562 | − | 0.171308i | ||||
\(996\) | 21.9069 | + | 6.81667i | 0.694147 | + | 0.215994i | ||||
\(997\) | −11.1711 | − | 19.3489i | −0.353792 | − | 0.612785i | 0.633119 | − | 0.774055i | \(-0.281775\pi\) |
−0.986910 | + | 0.161269i | \(0.948441\pi\) | |||||||
\(998\) | 6.14502 | + | 13.2910i | 0.194517 | + | 0.420718i | ||||
\(999\) | −22.4029 | − | 8.47990i | −0.708797 | − | 0.268292i |
(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 | 360.2.bd.b.59.19 | yes | 128 | |
5.4 | even | 2 | inner | 360.2.bd.b.59.46 | yes | 128 | |
8.3 | odd | 2 | inner | 360.2.bd.b.59.63 | yes | 128 | |
9.2 | odd | 6 | inner | 360.2.bd.b.299.2 | yes | 128 | |
40.19 | odd | 2 | inner | 360.2.bd.b.59.2 | ✓ | 128 | |
45.29 | odd | 6 | inner | 360.2.bd.b.299.63 | yes | 128 | |
72.11 | even | 6 | inner | 360.2.bd.b.299.46 | yes | 128 | |
360.299 | even | 6 | inner | 360.2.bd.b.299.19 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bd.b.59.2 | ✓ | 128 | 40.19 | odd | 2 | inner | |
360.2.bd.b.59.19 | yes | 128 | 1.1 | even | 1 | trivial | |
360.2.bd.b.59.46 | yes | 128 | 5.4 | even | 2 | inner | |
360.2.bd.b.59.63 | yes | 128 | 8.3 | odd | 2 | inner | |
360.2.bd.b.299.2 | yes | 128 | 9.2 | odd | 6 | inner | |
360.2.bd.b.299.19 | yes | 128 | 360.299 | even | 6 | inner | |
360.2.bd.b.299.46 | yes | 128 | 72.11 | even | 6 | inner | |
360.2.bd.b.299.63 | yes | 128 | 45.29 | odd | 6 | inner |