Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(25,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.e (of order \(3\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 25.3 | ||
Root | \(0.500000 + 1.41036i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.25 |
Dual form | 126.2.e.d.121.3 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 1.09097 | − | 1.34528i | 0.629873 | − | 0.776698i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −0.880438 | + | 1.52496i | −0.393744 | + | 0.681985i | −0.992940 | − | 0.118618i | \(-0.962154\pi\) |
0.599196 | + | 0.800602i | \(0.295487\pi\) | |||||||
\(6\) | 1.09097 | − | 1.34528i | 0.445387 | − | 0.549209i | ||||
\(7\) | −0.710533 | + | 2.54856i | −0.268556 | + | 0.963264i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −0.619562 | − | 2.93533i | −0.206521 | − | 0.978442i | ||||
\(10\) | −0.880438 | + | 1.52496i | −0.278419 | + | 0.482236i | ||||
\(11\) | −3.06238 | − | 5.30420i | −0.923343 | − | 1.59928i | −0.794205 | − | 0.607650i | \(-0.792112\pi\) |
−0.129138 | − | 0.991627i | \(-0.541221\pi\) | |||||||
\(12\) | 1.09097 | − | 1.34528i | 0.314936 | − | 0.388349i | ||||
\(13\) | −0.380438 | − | 0.658939i | −0.105515 | − | 0.182757i | 0.808434 | − | 0.588587i | \(-0.200316\pi\) |
−0.913948 | + | 0.405831i | \(0.866982\pi\) | |||||||
\(14\) | −0.710533 | + | 2.54856i | −0.189898 | + | 0.681130i | ||||
\(15\) | 1.09097 | + | 2.84813i | 0.281688 | + | 0.735384i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −3.42107 | + | 5.92546i | −0.829731 | + | 1.43714i | 0.0685191 | + | 0.997650i | \(0.478173\pi\) |
−0.898250 | + | 0.439486i | \(0.855161\pi\) | |||||||
\(18\) | −0.619562 | − | 2.93533i | −0.146032 | − | 0.691863i | ||||
\(19\) | 0.971410 | + | 1.68253i | 0.222857 | + | 0.385999i | 0.955674 | − | 0.294426i | \(-0.0951285\pi\) |
−0.732818 | + | 0.680425i | \(0.761795\pi\) | |||||||
\(20\) | −0.880438 | + | 1.52496i | −0.196872 | + | 0.340992i | ||||
\(21\) | 2.65335 | + | 3.73627i | 0.579009 | + | 0.815321i | ||||
\(22\) | −3.06238 | − | 5.30420i | −0.652902 | − | 1.13086i | ||||
\(23\) | 0.210533 | − | 0.364654i | 0.0438992 | − | 0.0760357i | −0.843241 | − | 0.537536i | \(-0.819355\pi\) |
0.887140 | + | 0.461500i | \(0.152689\pi\) | |||||||
\(24\) | 1.09097 | − | 1.34528i | 0.222694 | − | 0.274604i | ||||
\(25\) | 0.949657 | + | 1.64485i | 0.189931 | + | 0.328971i | ||||
\(26\) | −0.380438 | − | 0.658939i | −0.0746101 | − | 0.129228i | ||||
\(27\) | −4.62476 | − | 2.36887i | −0.890036 | − | 0.455890i | ||||
\(28\) | −0.710533 | + | 2.54856i | −0.134278 | + | 0.481632i | ||||
\(29\) | 0.732287 | − | 1.26836i | 0.135982 | − | 0.235528i | −0.789990 | − | 0.613120i | \(-0.789914\pi\) |
0.925972 | + | 0.377592i | \(0.123248\pi\) | |||||||
\(30\) | 1.09097 | + | 2.84813i | 0.199183 | + | 0.519995i | ||||
\(31\) | 7.70370 | 1.38362 | 0.691812 | − | 0.722077i | \(-0.256813\pi\) | ||||
0.691812 | + | 0.722077i | \(0.256813\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −10.4766 | − | 1.66697i | −1.82374 | − | 0.290182i | ||||
\(34\) | −3.42107 | + | 5.92546i | −0.586708 | + | 1.01621i | ||||
\(35\) | −3.26088 | − | 3.32738i | −0.551189 | − | 0.562431i | ||||
\(36\) | −0.619562 | − | 2.93533i | −0.103260 | − | 0.489221i | ||||
\(37\) | 1.44282 | + | 2.49904i | 0.237198 | + | 0.410839i | 0.959909 | − | 0.280311i | \(-0.0904376\pi\) |
−0.722711 | + | 0.691150i | \(0.757104\pi\) | |||||||
\(38\) | 0.971410 | + | 1.68253i | 0.157584 | + | 0.272943i | ||||
\(39\) | −1.30150 | − | 0.207087i | −0.208408 | − | 0.0331604i | ||||
\(40\) | −0.880438 | + | 1.52496i | −0.139210 | + | 0.241118i | ||||
\(41\) | −3.47141 | − | 6.01266i | −0.542143 | − | 0.939020i | −0.998781 | − | 0.0493667i | \(-0.984280\pi\) |
0.456638 | − | 0.889653i | \(-0.349054\pi\) | |||||||
\(42\) | 2.65335 | + | 3.73627i | 0.409421 | + | 0.576519i | ||||
\(43\) | 4.33009 | − | 7.49994i | 0.660333 | − | 1.14373i | −0.320195 | − | 0.947352i | \(-0.603748\pi\) |
0.980528 | − | 0.196379i | \(-0.0629183\pi\) | |||||||
\(44\) | −3.06238 | − | 5.30420i | −0.461671 | − | 0.799638i | ||||
\(45\) | 5.02175 | + | 1.63957i | 0.748599 | + | 0.244412i | ||||
\(46\) | 0.210533 | − | 0.364654i | 0.0310414 | − | 0.0537654i | ||||
\(47\) | 1.66019 | 0.242164 | 0.121082 | − | 0.992643i | \(-0.461364\pi\) | ||||
0.121082 | + | 0.992643i | \(0.461364\pi\) | |||||||
\(48\) | 1.09097 | − | 1.34528i | 0.157468 | − | 0.194175i | ||||
\(49\) | −5.99028 | − | 3.62167i | −0.855755 | − | 0.517381i | ||||
\(50\) | 0.949657 | + | 1.64485i | 0.134302 | + | 0.232617i | ||||
\(51\) | 4.23912 | + | 11.0668i | 0.593596 | + | 1.54966i | ||||
\(52\) | −0.380438 | − | 0.658939i | −0.0527573 | − | 0.0913783i | ||||
\(53\) | −0.112725 | + | 0.195246i | −0.0154840 | + | 0.0268190i | −0.873664 | − | 0.486531i | \(-0.838262\pi\) |
0.858180 | + | 0.513350i | \(0.171596\pi\) | |||||||
\(54\) | −4.62476 | − | 2.36887i | −0.629351 | − | 0.322363i | ||||
\(55\) | 10.7850 | 1.45424 | ||||||||
\(56\) | −0.710533 | + | 2.54856i | −0.0949490 | + | 0.340565i | ||||
\(57\) | 3.32326 | + | 0.528775i | 0.440176 | + | 0.0700379i | ||||
\(58\) | 0.732287 | − | 1.26836i | 0.0961540 | − | 0.166544i | ||||
\(59\) | 1.98633 | 0.258598 | 0.129299 | − | 0.991606i | \(-0.458727\pi\) | ||||
0.129299 | + | 0.991606i | \(0.458727\pi\) | |||||||
\(60\) | 1.09097 | + | 2.84813i | 0.140844 | + | 0.367692i | ||||
\(61\) | −10.3502 | −1.32521 | −0.662605 | − | 0.748969i | \(-0.730549\pi\) | ||||
−0.662605 | + | 0.748969i | \(0.730549\pi\) | |||||||
\(62\) | 7.70370 | 0.978370 | ||||||||
\(63\) | 7.92107 | + | 0.506659i | 0.997961 | + | 0.0638331i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 1.33981 | 0.166183 | ||||||||
\(66\) | −10.4766 | − | 1.66697i | −1.28958 | − | 0.205190i | ||||
\(67\) | 6.78495 | 0.828914 | 0.414457 | − | 0.910069i | \(-0.363972\pi\) | ||||
0.414457 | + | 0.910069i | \(0.363972\pi\) | |||||||
\(68\) | −3.42107 | + | 5.92546i | −0.414865 | + | 0.718568i | ||||
\(69\) | −0.260877 | − | 0.681054i | −0.0314059 | − | 0.0819893i | ||||
\(70\) | −3.26088 | − | 3.32738i | −0.389749 | − | 0.397699i | ||||
\(71\) | 10.7850 | 1.27994 | 0.639969 | − | 0.768401i | \(-0.278947\pi\) | ||||
0.639969 | + | 0.768401i | \(0.278947\pi\) | |||||||
\(72\) | −0.619562 | − | 2.93533i | −0.0730160 | − | 0.345932i | ||||
\(73\) | 0.153353 | − | 0.265616i | 0.0179487 | − | 0.0310880i | −0.856912 | − | 0.515463i | \(-0.827620\pi\) |
0.874860 | + | 0.484375i | \(0.160953\pi\) | |||||||
\(74\) | 1.44282 | + | 2.49904i | 0.167724 | + | 0.290507i | ||||
\(75\) | 3.24884 | + | 0.516934i | 0.375144 | + | 0.0596904i | ||||
\(76\) | 0.971410 | + | 1.68253i | 0.111428 | + | 0.193000i | ||||
\(77\) | 15.6940 | − | 4.03584i | 1.78850 | − | 0.459927i | ||||
\(78\) | −1.30150 | − | 0.207087i | −0.147366 | − | 0.0234480i | ||||
\(79\) | −13.4451 | −1.51270 | −0.756348 | − | 0.654169i | \(-0.773018\pi\) | ||||
−0.756348 | + | 0.654169i | \(0.773018\pi\) | |||||||
\(80\) | −0.880438 | + | 1.52496i | −0.0984360 | + | 0.170496i | ||||
\(81\) | −8.23229 | + | 3.63723i | −0.914699 | + | 0.404137i | ||||
\(82\) | −3.47141 | − | 6.01266i | −0.383353 | − | 0.663987i | ||||
\(83\) | −1.56238 | + | 2.70612i | −0.171494 | + | 0.297036i | −0.938942 | − | 0.344075i | \(-0.888193\pi\) |
0.767449 | + | 0.641110i | \(0.221526\pi\) | |||||||
\(84\) | 2.65335 | + | 3.73627i | 0.289505 | + | 0.407661i | ||||
\(85\) | −6.02408 | − | 10.4340i | −0.653403 | − | 1.13173i | ||||
\(86\) | 4.33009 | − | 7.49994i | 0.466926 | − | 0.808740i | ||||
\(87\) | −0.907394 | − | 2.36887i | −0.0972828 | − | 0.253970i | ||||
\(88\) | −3.06238 | − | 5.30420i | −0.326451 | − | 0.565430i | ||||
\(89\) | 1.30150 | + | 2.25427i | 0.137959 | + | 0.238952i | 0.926724 | − | 0.375743i | \(-0.122612\pi\) |
−0.788765 | + | 0.614695i | \(0.789279\pi\) | |||||||
\(90\) | 5.02175 | + | 1.63957i | 0.529339 | + | 0.172825i | ||||
\(91\) | 1.94966 | − | 0.501371i | 0.204380 | − | 0.0525580i | ||||
\(92\) | 0.210533 | − | 0.364654i | 0.0219496 | − | 0.0380178i | ||||
\(93\) | 8.40451 | − | 10.3636i | 0.871508 | − | 1.07466i | ||||
\(94\) | 1.66019 | 0.171236 | ||||||||
\(95\) | −3.42107 | −0.350994 | ||||||||
\(96\) | 1.09097 | − | 1.34528i | 0.111347 | − | 0.137302i | ||||
\(97\) | −1.81806 | + | 3.14897i | −0.184596 | + | 0.319729i | −0.943440 | − | 0.331543i | \(-0.892431\pi\) |
0.758845 | + | 0.651272i | \(0.225764\pi\) | |||||||
\(98\) | −5.99028 | − | 3.62167i | −0.605110 | − | 0.365844i | ||||
\(99\) | −13.6722 | + | 12.2754i | −1.37411 | + | 1.23372i | ||||
\(100\) | 0.949657 | + | 1.64485i | 0.0949657 | + | 0.164485i | ||||
\(101\) | 4.00520 | + | 6.93721i | 0.398532 | + | 0.690278i | 0.993545 | − | 0.113438i | \(-0.0361863\pi\) |
−0.595013 | + | 0.803716i | \(0.702853\pi\) | |||||||
\(102\) | 4.23912 | + | 11.0668i | 0.419736 | + | 1.09578i | ||||
\(103\) | 3.41423 | − | 5.91362i | 0.336414 | − | 0.582686i | −0.647341 | − | 0.762200i | \(-0.724119\pi\) |
0.983755 | + | 0.179514i | \(0.0574525\pi\) | |||||||
\(104\) | −0.380438 | − | 0.658939i | −0.0373051 | − | 0.0646142i | ||||
\(105\) | −8.03379 | + | 0.756713i | −0.784018 | + | 0.0738476i | ||||
\(106\) | −0.112725 | + | 0.195246i | −0.0109488 | + | 0.0189639i | ||||
\(107\) | 1.77292 | + | 3.07078i | 0.171394 | + | 0.296863i | 0.938908 | − | 0.344170i | \(-0.111840\pi\) |
−0.767513 | + | 0.641033i | \(0.778506\pi\) | |||||||
\(108\) | −4.62476 | − | 2.36887i | −0.445018 | − | 0.227945i | ||||
\(109\) | 0.351848 | − | 0.609419i | 0.0337010 | − | 0.0583718i | −0.848683 | − | 0.528902i | \(-0.822604\pi\) |
0.882384 | + | 0.470530i | \(0.155937\pi\) | |||||||
\(110\) | 10.7850 | 1.02830 | ||||||||
\(111\) | 4.93598 | + | 0.785381i | 0.468503 | + | 0.0745451i | ||||
\(112\) | −0.710533 | + | 2.54856i | −0.0671391 | + | 0.240816i | ||||
\(113\) | 4.25116 | + | 7.36323i | 0.399916 | + | 0.692674i | 0.993715 | − | 0.111939i | \(-0.0357061\pi\) |
−0.593799 | + | 0.804613i | \(0.702373\pi\) | |||||||
\(114\) | 3.32326 | + | 0.528775i | 0.311252 | + | 0.0495243i | ||||
\(115\) | 0.370723 | + | 0.642111i | 0.0345701 | + | 0.0598772i | ||||
\(116\) | 0.732287 | − | 1.26836i | 0.0679911 | − | 0.117764i | ||||
\(117\) | −1.69850 | + | 1.52496i | −0.157026 | + | 0.140983i | ||||
\(118\) | 1.98633 | 0.182856 | ||||||||
\(119\) | −12.6706 | − | 12.9290i | −1.16151 | − | 1.18520i | ||||
\(120\) | 1.09097 | + | 2.84813i | 0.0995916 | + | 0.259997i | ||||
\(121\) | −13.2564 | + | 22.9607i | −1.20512 | + | 2.08734i | ||||
\(122\) | −10.3502 | −0.937064 | ||||||||
\(123\) | −11.8759 | − | 1.88962i | −1.07082 | − | 0.170381i | ||||
\(124\) | 7.70370 | 0.691812 | ||||||||
\(125\) | −12.1488 | −1.08663 | ||||||||
\(126\) | 7.92107 | + | 0.506659i | 0.705665 | + | 0.0451368i | ||||
\(127\) | −18.9532 | −1.68183 | −0.840913 | − | 0.541170i | \(-0.817982\pi\) | ||||
−0.840913 | + | 0.541170i | \(0.817982\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −5.36552 | − | 14.0074i | −0.472408 | − | 1.23328i | ||||
\(130\) | 1.33981 | 0.117509 | ||||||||
\(131\) | 3.64652 | − | 6.31595i | 0.318598 | − | 0.551827i | −0.661598 | − | 0.749859i | \(-0.730121\pi\) |
0.980196 | + | 0.198031i | \(0.0634548\pi\) | |||||||
\(132\) | −10.4766 | − | 1.66697i | −0.911872 | − | 0.145091i | ||||
\(133\) | −4.97825 | + | 1.28020i | −0.431669 | + | 0.111007i | ||||
\(134\) | 6.78495 | 0.586131 | ||||||||
\(135\) | 7.68427 | − | 4.96695i | 0.661356 | − | 0.427487i | ||||
\(136\) | −3.42107 | + | 5.92546i | −0.293354 | + | 0.508104i | ||||
\(137\) | 4.09097 | + | 7.08577i | 0.349515 | + | 0.605378i | 0.986163 | − | 0.165776i | \(-0.0530129\pi\) |
−0.636648 | + | 0.771154i | \(0.719680\pi\) | |||||||
\(138\) | −0.260877 | − | 0.681054i | −0.0222073 | − | 0.0579752i | ||||
\(139\) | −6.23229 | − | 10.7946i | −0.528616 | − | 0.915589i | −0.999443 | − | 0.0333640i | \(-0.989378\pi\) |
0.470828 | − | 0.882225i | \(-0.343955\pi\) | |||||||
\(140\) | −3.26088 | − | 3.32738i | −0.275594 | − | 0.281215i | ||||
\(141\) | 1.81122 | − | 2.23342i | 0.152532 | − | 0.188088i | ||||
\(142\) | 10.7850 | 0.905053 | ||||||||
\(143\) | −2.33009 | + | 4.03584i | −0.194852 | + | 0.337494i | ||||
\(144\) | −0.619562 | − | 2.93533i | −0.0516301 | − | 0.244611i | ||||
\(145\) | 1.28947 | + | 2.23342i | 0.107084 | + | 0.185476i | ||||
\(146\) | 0.153353 | − | 0.265616i | 0.0126916 | − | 0.0219825i | ||||
\(147\) | −11.4074 | + | 4.10748i | −0.940866 | + | 0.338779i | ||||
\(148\) | 1.44282 | + | 2.49904i | 0.118599 | + | 0.205420i | ||||
\(149\) | −4.41423 | + | 7.64567i | −0.361628 | + | 0.626358i | −0.988229 | − | 0.152982i | \(-0.951112\pi\) |
0.626601 | + | 0.779340i | \(0.284446\pi\) | |||||||
\(150\) | 3.24884 | + | 0.516934i | 0.265267 | + | 0.0422075i | ||||
\(151\) | 7.49316 | + | 12.9785i | 0.609785 | + | 1.05618i | 0.991276 | + | 0.131806i | \(0.0420775\pi\) |
−0.381491 | + | 0.924373i | \(0.624589\pi\) | |||||||
\(152\) | 0.971410 | + | 1.68253i | 0.0787918 | + | 0.136471i | ||||
\(153\) | 19.5127 | + | 6.37076i | 1.57751 | + | 0.515045i | ||||
\(154\) | 15.6940 | − | 4.03584i | 1.26466 | − | 0.325217i | ||||
\(155\) | −6.78263 | + | 11.7479i | −0.544794 | + | 0.943611i | ||||
\(156\) | −1.30150 | − | 0.207087i | −0.104204 | − | 0.0165802i | ||||
\(157\) | 18.9806 | 1.51481 | 0.757407 | − | 0.652943i | \(-0.226466\pi\) | ||||
0.757407 | + | 0.652943i | \(0.226466\pi\) | |||||||
\(158\) | −13.4451 | −1.06964 | ||||||||
\(159\) | 0.139680 | + | 0.364654i | 0.0110774 | + | 0.0289190i | ||||
\(160\) | −0.880438 | + | 1.52496i | −0.0696048 | + | 0.120559i | ||||
\(161\) | 0.779752 | + | 0.795655i | 0.0614530 | + | 0.0627064i | ||||
\(162\) | −8.23229 | + | 3.63723i | −0.646790 | + | 0.285768i | ||||
\(163\) | −7.51887 | − | 13.0231i | −0.588924 | − | 1.02005i | −0.994374 | − | 0.105929i | \(-0.966219\pi\) |
0.405450 | − | 0.914117i | \(-0.367115\pi\) | |||||||
\(164\) | −3.47141 | − | 6.01266i | −0.271072 | − | 0.469510i | ||||
\(165\) | 11.7661 | − | 14.5088i | 0.915988 | − | 1.12951i | ||||
\(166\) | −1.56238 | + | 2.70612i | −0.121264 | + | 0.210036i | ||||
\(167\) | 0.572097 | + | 0.990901i | 0.0442702 | + | 0.0766782i | 0.887311 | − | 0.461171i | \(-0.152570\pi\) |
−0.843041 | + | 0.537849i | \(0.819237\pi\) | |||||||
\(168\) | 2.65335 | + | 3.73627i | 0.204711 | + | 0.288260i | ||||
\(169\) | 6.21053 | − | 10.7570i | 0.477733 | − | 0.827458i | ||||
\(170\) | −6.02408 | − | 10.4340i | −0.462026 | − | 0.800252i | ||||
\(171\) | 4.33693 | − | 3.89384i | 0.331653 | − | 0.297769i | ||||
\(172\) | 4.33009 | − | 7.49994i | 0.330167 | − | 0.571865i | ||||
\(173\) | 0.497677 | 0.0378377 | 0.0189188 | − | 0.999821i | \(-0.493978\pi\) | ||||
0.0189188 | + | 0.999821i | \(0.493978\pi\) | |||||||
\(174\) | −0.907394 | − | 2.36887i | −0.0687893 | − | 0.179584i | ||||
\(175\) | −4.86677 | + | 1.25153i | −0.367893 | + | 0.0946068i | ||||
\(176\) | −3.06238 | − | 5.30420i | −0.230836 | − | 0.399819i | ||||
\(177\) | 2.16703 | − | 2.67217i | 0.162884 | − | 0.200852i | ||||
\(178\) | 1.30150 | + | 2.25427i | 0.0975519 | + | 0.168965i | ||||
\(179\) | 4.41423 | − | 7.64567i | 0.329935 | − | 0.571464i | −0.652564 | − | 0.757734i | \(-0.726306\pi\) |
0.982499 | + | 0.186270i | \(0.0596398\pi\) | |||||||
\(180\) | 5.02175 | + | 1.63957i | 0.374299 | + | 0.122206i | ||||
\(181\) | 1.32941 | 0.0988140 | 0.0494070 | − | 0.998779i | \(-0.484267\pi\) | ||||
0.0494070 | + | 0.998779i | \(0.484267\pi\) | |||||||
\(182\) | 1.94966 | − | 0.501371i | 0.144518 | − | 0.0371641i | ||||
\(183\) | −11.2918 | + | 13.9239i | −0.834713 | + | 1.02929i | ||||
\(184\) | 0.210533 | − | 0.364654i | 0.0155207 | − | 0.0268827i | ||||
\(185\) | −5.08126 | −0.373581 | ||||||||
\(186\) | 8.40451 | − | 10.3636i | 0.616249 | − | 0.759899i | ||||
\(187\) | 41.9064 | 3.06450 | ||||||||
\(188\) | 1.66019 | 0.121082 | ||||||||
\(189\) | 9.32326 | − | 10.1033i | 0.678167 | − | 0.734908i | ||||
\(190\) | −3.42107 | −0.248190 | ||||||||
\(191\) | −16.1683 | −1.16989 | −0.584947 | − | 0.811071i | \(-0.698885\pi\) | ||||
−0.584947 | + | 0.811071i | \(0.698885\pi\) | |||||||
\(192\) | 1.09097 | − | 1.34528i | 0.0787341 | − | 0.0970873i | ||||
\(193\) | −14.1683 | −1.01985 | −0.509927 | − | 0.860218i | \(-0.670328\pi\) | ||||
−0.509927 | + | 0.860218i | \(0.670328\pi\) | |||||||
\(194\) | −1.81806 | + | 3.14897i | −0.130529 | + | 0.226083i | ||||
\(195\) | 1.46169 | − | 1.80242i | 0.104674 | − | 0.129074i | ||||
\(196\) | −5.99028 | − | 3.62167i | −0.427877 | − | 0.258691i | ||||
\(197\) | 15.8421 | 1.12871 | 0.564353 | − | 0.825534i | \(-0.309126\pi\) | ||||
0.564353 | + | 0.825534i | \(0.309126\pi\) | |||||||
\(198\) | −13.6722 | + | 12.2754i | −0.971643 | + | 0.872373i | ||||
\(199\) | −4.47141 | + | 7.74471i | −0.316970 | + | 0.549008i | −0.979854 | − | 0.199714i | \(-0.935999\pi\) |
0.662884 | + | 0.748722i | \(0.269332\pi\) | |||||||
\(200\) | 0.949657 | + | 1.64485i | 0.0671509 | + | 0.116309i | ||||
\(201\) | 7.40219 | − | 9.12767i | 0.522110 | − | 0.643816i | ||||
\(202\) | 4.00520 | + | 6.93721i | 0.281805 | + | 0.488101i | ||||
\(203\) | 2.71217 | + | 2.76748i | 0.190357 | + | 0.194239i | ||||
\(204\) | 4.23912 | + | 11.0668i | 0.296798 | + | 0.774831i | ||||
\(205\) | 12.2255 | 0.853862 | ||||||||
\(206\) | 3.41423 | − | 5.91362i | 0.237881 | − | 0.412021i | ||||
\(207\) | −1.20082 | − | 0.392058i | −0.0834626 | − | 0.0272499i | ||||
\(208\) | −0.380438 | − | 0.658939i | −0.0263787 | − | 0.0456892i | ||||
\(209\) | 5.94966 | − | 10.3051i | 0.411546 | − | 0.712819i | ||||
\(210\) | −8.03379 | + | 0.756713i | −0.554384 | + | 0.0522181i | ||||
\(211\) | 11.3856 | + | 19.7205i | 0.783820 | + | 1.35762i | 0.929702 | + | 0.368314i | \(0.120065\pi\) |
−0.145882 | + | 0.989302i | \(0.546602\pi\) | |||||||
\(212\) | −0.112725 | + | 0.195246i | −0.00774199 | + | 0.0134095i | ||||
\(213\) | 11.7661 | − | 14.5088i | 0.806198 | − | 0.994126i | ||||
\(214\) | 1.77292 | + | 3.07078i | 0.121194 | + | 0.209914i | ||||
\(215\) | 7.62476 | + | 13.2065i | 0.520005 | + | 0.900674i | ||||
\(216\) | −4.62476 | − | 2.36887i | −0.314675 | − | 0.161181i | ||||
\(217\) | −5.47373 | + | 19.6333i | −0.371581 | + | 1.33280i | ||||
\(218\) | 0.351848 | − | 0.609419i | 0.0238302 | − | 0.0412751i | ||||
\(219\) | −0.190024 | − | 0.496083i | −0.0128406 | − | 0.0335222i | ||||
\(220\) | 10.7850 | 0.727121 | ||||||||
\(221\) | 5.20602 | 0.350195 | ||||||||
\(222\) | 4.93598 | + | 0.785381i | 0.331282 | + | 0.0527113i | ||||
\(223\) | −6.44282 | + | 11.1593i | −0.431443 | + | 0.747281i | −0.996998 | − | 0.0774293i | \(-0.975329\pi\) |
0.565555 | + | 0.824711i | \(0.308662\pi\) | |||||||
\(224\) | −0.710533 | + | 2.54856i | −0.0474745 | + | 0.170283i | ||||
\(225\) | 4.23981 | − | 3.80664i | 0.282654 | − | 0.253776i | ||||
\(226\) | 4.25116 | + | 7.36323i | 0.282783 | + | 0.489795i | ||||
\(227\) | −10.9984 | − | 19.0497i | −0.729987 | − | 1.26437i | −0.956888 | − | 0.290457i | \(-0.906193\pi\) |
0.226901 | − | 0.973918i | \(-0.427141\pi\) | |||||||
\(228\) | 3.32326 | + | 0.528775i | 0.220088 | + | 0.0350190i | ||||
\(229\) | 1.89931 | − | 3.28971i | 0.125510 | − | 0.217390i | −0.796422 | − | 0.604741i | \(-0.793277\pi\) |
0.921932 | + | 0.387351i | \(0.126610\pi\) | |||||||
\(230\) | 0.370723 | + | 0.642111i | 0.0244448 | + | 0.0423396i | ||||
\(231\) | 11.6923 | − | 25.5158i | 0.769300 | − | 1.67882i | ||||
\(232\) | 0.732287 | − | 1.26836i | 0.0480770 | − | 0.0832718i | ||||
\(233\) | −3.33530 | − | 5.77690i | −0.218503 | − | 0.378458i | 0.735848 | − | 0.677147i | \(-0.236784\pi\) |
−0.954350 | + | 0.298689i | \(0.903451\pi\) | |||||||
\(234\) | −1.69850 | + | 1.52496i | −0.111034 | + | 0.0996900i | ||||
\(235\) | −1.46169 | + | 2.53173i | −0.0953505 | + | 0.165152i | ||||
\(236\) | 1.98633 | 0.129299 | ||||||||
\(237\) | −14.6683 | + | 18.0875i | −0.952807 | + | 1.17491i | ||||
\(238\) | −12.6706 | − | 12.9290i | −0.821313 | − | 0.838064i | ||||
\(239\) | −7.82038 | − | 13.5453i | −0.505858 | − | 0.876172i | −0.999977 | − | 0.00677786i | \(-0.997843\pi\) |
0.494119 | − | 0.869394i | \(-0.335491\pi\) | |||||||
\(240\) | 1.09097 | + | 2.84813i | 0.0704219 | + | 0.183846i | ||||
\(241\) | −10.7060 | − | 18.5434i | −0.689635 | − | 1.19448i | −0.971956 | − | 0.235163i | \(-0.924437\pi\) |
0.282320 | − | 0.959320i | \(-0.408896\pi\) | |||||||
\(242\) | −13.2564 | + | 22.9607i | −0.852151 | + | 1.47597i | ||||
\(243\) | −4.08809 | + | 15.0429i | −0.262251 | + | 0.965000i | ||||
\(244\) | −10.3502 | −0.662605 | ||||||||
\(245\) | 10.7970 | − | 5.94631i | 0.689794 | − | 0.379896i | ||||
\(246\) | −11.8759 | − | 1.88962i | −0.757181 | − | 0.120478i | ||||
\(247\) | 0.739123 | − | 1.28020i | 0.0470293 | − | 0.0814571i | ||||
\(248\) | 7.70370 | 0.489185 | ||||||||
\(249\) | 1.93598 | + | 5.05415i | 0.122688 | + | 0.320294i | ||||
\(250\) | −12.1488 | −0.768360 | ||||||||
\(251\) | −23.6030 | −1.48981 | −0.744904 | − | 0.667171i | \(-0.767505\pi\) | ||||
−0.744904 | + | 0.667171i | \(0.767505\pi\) | |||||||
\(252\) | 7.92107 | + | 0.506659i | 0.498980 | + | 0.0319165i | ||||
\(253\) | −2.57893 | −0.162136 | ||||||||
\(254\) | −18.9532 | −1.18923 | ||||||||
\(255\) | −20.6088 | − | 3.27913i | −1.29057 | − | 0.205347i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −10.1300 | + | 17.5456i | −0.631890 | + | 1.09447i | 0.355275 | + | 0.934762i | \(0.384387\pi\) |
−0.987165 | + | 0.159704i | \(0.948946\pi\) | |||||||
\(258\) | −5.36552 | − | 14.0074i | −0.334043 | − | 0.872064i | ||||
\(259\) | −7.39411 | + | 1.90146i | −0.459448 | + | 0.118151i | ||||
\(260\) | 1.33981 | 0.0830915 | ||||||||
\(261\) | −4.17674 | − | 1.36368i | −0.258534 | − | 0.0844094i | ||||
\(262\) | 3.64652 | − | 6.31595i | 0.225283 | − | 0.390201i | ||||
\(263\) | 11.2443 | + | 19.4757i | 0.693355 | + | 1.20093i | 0.970732 | + | 0.240165i | \(0.0772014\pi\) |
−0.277377 | + | 0.960761i | \(0.589465\pi\) | |||||||
\(264\) | −10.4766 | − | 1.66697i | −0.644791 | − | 0.102595i | ||||
\(265\) | −0.198495 | − | 0.343803i | −0.0121935 | − | 0.0211197i | ||||
\(266\) | −4.97825 | + | 1.28020i | −0.305236 | + | 0.0784940i | ||||
\(267\) | 4.45254 | + | 0.708458i | 0.272491 | + | 0.0433569i | ||||
\(268\) | 6.78495 | 0.414457 | ||||||||
\(269\) | −12.6706 | + | 21.9461i | −0.772540 | + | 1.33808i | 0.163627 | + | 0.986522i | \(0.447681\pi\) |
−0.936167 | + | 0.351556i | \(0.885653\pi\) | |||||||
\(270\) | 7.68427 | − | 4.96695i | 0.467650 | − | 0.302279i | ||||
\(271\) | −6.87880 | − | 11.9144i | −0.417858 | − | 0.723751i | 0.577866 | − | 0.816132i | \(-0.303886\pi\) |
−0.995724 | + | 0.0923810i | \(0.970552\pi\) | |||||||
\(272\) | −3.42107 | + | 5.92546i | −0.207433 | + | 0.359284i | ||||
\(273\) | 1.45254 | − | 3.16982i | 0.0879114 | − | 0.191846i | ||||
\(274\) | 4.09097 | + | 7.08577i | 0.247145 | + | 0.428067i | ||||
\(275\) | 5.81642 | − | 10.0743i | 0.350743 | − | 0.607505i | ||||
\(276\) | −0.260877 | − | 0.681054i | −0.0157029 | − | 0.0409946i | ||||
\(277\) | 1.64132 | + | 2.84284i | 0.0986171 | + | 0.170810i | 0.911112 | − | 0.412158i | \(-0.135225\pi\) |
−0.812495 | + | 0.582968i | \(0.801891\pi\) | |||||||
\(278\) | −6.23229 | − | 10.7946i | −0.373788 | − | 0.647419i | ||||
\(279\) | −4.77292 | − | 22.6129i | −0.285747 | − | 1.35380i | ||||
\(280\) | −3.26088 | − | 3.32738i | −0.194875 | − | 0.198849i | ||||
\(281\) | 0.634479 | − | 1.09895i | 0.0378498 | − | 0.0655578i | −0.846480 | − | 0.532421i | \(-0.821282\pi\) |
0.884330 | + | 0.466863i | \(0.154616\pi\) | |||||||
\(282\) | 1.81122 | − | 2.23342i | 0.107857 | − | 0.132998i | ||||
\(283\) | −8.19235 | −0.486984 | −0.243492 | − | 0.969903i | \(-0.578293\pi\) | ||||
−0.243492 | + | 0.969903i | \(0.578293\pi\) | |||||||
\(284\) | 10.7850 | 0.639969 | ||||||||
\(285\) | −3.73229 | + | 4.60230i | −0.221082 | + | 0.272616i | ||||
\(286\) | −2.33009 | + | 4.03584i | −0.137781 | + | 0.238644i | ||||
\(287\) | 17.7902 | − | 4.57489i | 1.05012 | − | 0.270047i | ||||
\(288\) | −0.619562 | − | 2.93533i | −0.0365080 | − | 0.172966i | ||||
\(289\) | −14.9074 | − | 25.8204i | −0.876906 | − | 1.51884i | ||||
\(290\) | 1.28947 | + | 2.23342i | 0.0757201 | + | 0.131151i | ||||
\(291\) | 2.25280 | + | 5.88123i | 0.132061 | + | 0.344764i | ||||
\(292\) | 0.153353 | − | 0.265616i | 0.00897433 | − | 0.0155440i | ||||
\(293\) | 7.72545 | + | 13.3809i | 0.451326 | + | 0.781719i | 0.998469 | − | 0.0553202i | \(-0.0176180\pi\) |
−0.547143 | + | 0.837039i | \(0.684285\pi\) | |||||||
\(294\) | −11.4074 | + | 4.10748i | −0.665293 | + | 0.239553i | ||||
\(295\) | −1.74884 | + | 3.02908i | −0.101821 | + | 0.176360i | ||||
\(296\) | 1.44282 | + | 2.49904i | 0.0838622 | + | 0.145254i | ||||
\(297\) | 1.59781 | + | 31.7851i | 0.0927142 | + | 1.84436i | ||||
\(298\) | −4.41423 | + | 7.64567i | −0.255709 | + | 0.442902i | ||||
\(299\) | −0.320380 | −0.0185280 | ||||||||
\(300\) | 3.24884 | + | 0.516934i | 0.187572 | + | 0.0298452i | ||||
\(301\) | 16.0374 | + | 16.3645i | 0.924378 | + | 0.943231i | ||||
\(302\) | 7.49316 | + | 12.9785i | 0.431183 | + | 0.746831i | ||||
\(303\) | 13.7021 | + | 2.18018i | 0.787163 | + | 0.125248i | ||||
\(304\) | 0.971410 | + | 1.68253i | 0.0557142 | + | 0.0964998i | ||||
\(305\) | 9.11273 | − | 15.7837i | 0.521793 | − | 0.903772i | ||||
\(306\) | 19.5127 | + | 6.37076i | 1.11547 | + | 0.364192i | ||||
\(307\) | 4.89931 | 0.279619 | 0.139809 | − | 0.990178i | \(-0.455351\pi\) | ||||
0.139809 | + | 0.990178i | \(0.455351\pi\) | |||||||
\(308\) | 15.6940 | − | 4.03584i | 0.894248 | − | 0.229963i | ||||
\(309\) | −4.23065 | − | 11.0447i | −0.240673 | − | 0.628310i | ||||
\(310\) | −6.78263 | + | 11.7479i | −0.385228 | + | 0.667234i | ||||
\(311\) | −7.69002 | −0.436061 | −0.218031 | − | 0.975942i | \(-0.569963\pi\) | ||||
−0.218031 | + | 0.975942i | \(0.569963\pi\) | |||||||
\(312\) | −1.30150 | − | 0.207087i | −0.0736832 | − | 0.0117240i | ||||
\(313\) | −1.72313 | −0.0973969 | −0.0486985 | − | 0.998814i | \(-0.515507\pi\) | ||||
−0.0486985 | + | 0.998814i | \(0.515507\pi\) | |||||||
\(314\) | 18.9806 | 1.07114 | ||||||||
\(315\) | −7.74665 | + | 11.6333i | −0.436474 | + | 0.655460i | ||||
\(316\) | −13.4451 | −0.756348 | ||||||||
\(317\) | 33.2028 | 1.86485 | 0.932426 | − | 0.361361i | \(-0.117688\pi\) | ||||
0.932426 | + | 0.361361i | \(0.117688\pi\) | |||||||
\(318\) | 0.139680 | + | 0.364654i | 0.00783288 | + | 0.0204488i | ||||
\(319\) | −8.97017 | −0.502233 | ||||||||
\(320\) | −0.880438 | + | 1.52496i | −0.0492180 | + | 0.0852481i | ||||
\(321\) | 6.06526 | + | 0.965064i | 0.338530 | + | 0.0538646i | ||||
\(322\) | 0.779752 | + | 0.795655i | 0.0434539 | + | 0.0443401i | ||||
\(323\) | −13.2930 | −0.739644 | ||||||||
\(324\) | −8.23229 | + | 3.63723i | −0.457349 | + | 0.202068i | ||||
\(325\) | 0.722572 | − | 1.25153i | 0.0400811 | − | 0.0694224i | ||||
\(326\) | −7.51887 | − | 13.0231i | −0.416432 | − | 0.721281i | ||||
\(327\) | −0.435984 | − | 1.13819i | −0.0241099 | − | 0.0629423i | ||||
\(328\) | −3.47141 | − | 6.01266i | −0.191677 | − | 0.331994i | ||||
\(329\) | −1.17962 | + | 4.23109i | −0.0650346 | + | 0.233267i | ||||
\(330\) | 11.7661 | − | 14.5088i | 0.647701 | − | 0.798683i | ||||
\(331\) | 2.88891 | 0.158789 | 0.0793944 | − | 0.996843i | \(-0.474701\pi\) | ||||
0.0793944 | + | 0.996843i | \(0.474701\pi\) | |||||||
\(332\) | −1.56238 | + | 2.70612i | −0.0857468 | + | 0.148518i | ||||
\(333\) | 6.44158 | − | 5.78346i | 0.352996 | − | 0.316931i | ||||
\(334\) | 0.572097 | + | 0.990901i | 0.0313037 | + | 0.0542197i | ||||
\(335\) | −5.97373 | + | 10.3468i | −0.326380 | + | 0.565307i | ||||
\(336\) | 2.65335 | + | 3.73627i | 0.144752 | + | 0.203830i | ||||
\(337\) | −4.36156 | − | 7.55445i | −0.237590 | − | 0.411517i | 0.722433 | − | 0.691441i | \(-0.243024\pi\) |
−0.960022 | + | 0.279924i | \(0.909691\pi\) | |||||||
\(338\) | 6.21053 | − | 10.7570i | 0.337808 | − | 0.585101i | ||||
\(339\) | 14.5435 | + | 2.31407i | 0.789895 | + | 0.125683i | ||||
\(340\) | −6.02408 | − | 10.4340i | −0.326701 | − | 0.565863i | ||||
\(341\) | −23.5917 | − | 40.8620i | −1.27756 | − | 2.21280i | ||||
\(342\) | 4.33693 | − | 3.89384i | 0.234514 | − | 0.210555i | ||||
\(343\) | 13.4863 | − | 12.6933i | 0.728193 | − | 0.685372i | ||||
\(344\) | 4.33009 | − | 7.49994i | 0.233463 | − | 0.404370i | ||||
\(345\) | 1.26827 | + | 0.201799i | 0.0682813 | + | 0.0108645i | ||||
\(346\) | 0.497677 | 0.0267553 | ||||||||
\(347\) | 9.69467 | 0.520437 | 0.260219 | − | 0.965550i | \(-0.416205\pi\) | ||||
0.260219 | + | 0.965550i | \(0.416205\pi\) | |||||||
\(348\) | −0.907394 | − | 2.36887i | −0.0486414 | − | 0.126985i | ||||
\(349\) | 14.1992 | − | 24.5937i | 0.760065 | − | 1.31647i | −0.182752 | − | 0.983159i | \(-0.558500\pi\) |
0.942817 | − | 0.333312i | \(-0.108166\pi\) | |||||||
\(350\) | −4.86677 | + | 1.25153i | −0.260140 | + | 0.0668971i | ||||
\(351\) | 0.198495 | + | 3.94865i | 0.0105949 | + | 0.210763i | ||||
\(352\) | −3.06238 | − | 5.30420i | −0.163225 | − | 0.282715i | ||||
\(353\) | 2.19686 | + | 3.80507i | 0.116927 | + | 0.202524i | 0.918548 | − | 0.395308i | \(-0.129362\pi\) |
−0.801621 | + | 0.597832i | \(0.796029\pi\) | |||||||
\(354\) | 2.16703 | − | 2.67217i | 0.115176 | − | 0.142024i | ||||
\(355\) | −9.49549 | + | 16.4467i | −0.503968 | + | 0.872898i | ||||
\(356\) | 1.30150 | + | 2.25427i | 0.0689796 | + | 0.119476i | ||||
\(357\) | −31.2164 | + | 2.94031i | −1.65215 | + | 0.155618i | ||||
\(358\) | 4.41423 | − | 7.64567i | 0.233299 | − | 0.404086i | ||||
\(359\) | 16.0796 | + | 27.8507i | 0.848650 | + | 1.46990i | 0.882413 | + | 0.470475i | \(0.155917\pi\) |
−0.0337633 | + | 0.999430i | \(0.510749\pi\) | |||||||
\(360\) | 5.02175 | + | 1.63957i | 0.264670 | + | 0.0864127i | ||||
\(361\) | 7.61273 | − | 13.1856i | 0.400670 | − | 0.693980i | ||||
\(362\) | 1.32941 | 0.0698721 | ||||||||
\(363\) | 16.4263 | + | 42.8830i | 0.862155 | + | 2.25077i | ||||
\(364\) | 1.94966 | − | 0.501371i | 0.102190 | − | 0.0262790i | ||||
\(365\) | 0.270036 | + | 0.467717i | 0.0141343 | + | 0.0244814i | ||||
\(366\) | −11.2918 | + | 13.9239i | −0.590231 | + | 0.727816i | ||||
\(367\) | −17.3015 | − | 29.9671i | −0.903131 | − | 1.56427i | −0.823406 | − | 0.567452i | \(-0.807929\pi\) |
−0.0797249 | − | 0.996817i | \(-0.525404\pi\) | |||||||
\(368\) | 0.210533 | − | 0.364654i | 0.0109748 | − | 0.0190089i | ||||
\(369\) | −15.4984 | + | 13.9149i | −0.806813 | + | 0.724383i | ||||
\(370\) | −5.08126 | −0.264162 | ||||||||
\(371\) | −0.417500 | − | 0.426015i | −0.0216755 | − | 0.0221176i | ||||
\(372\) | 8.40451 | − | 10.3636i | 0.435754 | − | 0.537330i | ||||
\(373\) | −5.48796 | + | 9.50543i | −0.284156 | + | 0.492172i | −0.972404 | − | 0.233303i | \(-0.925047\pi\) |
0.688248 | + | 0.725475i | \(0.258380\pi\) | |||||||
\(374\) | 41.9064 | 2.16693 | ||||||||
\(375\) | −13.2540 | + | 16.3436i | −0.684436 | + | 0.843980i | ||||
\(376\) | 1.66019 | 0.0856178 | ||||||||
\(377\) | −1.11436 | −0.0573925 | ||||||||
\(378\) | 9.32326 | − | 10.1033i | 0.479537 | − | 0.519658i | ||||
\(379\) | 33.9877 | 1.74583 | 0.872916 | − | 0.487871i | \(-0.162226\pi\) | ||||
0.872916 | + | 0.487871i | \(0.162226\pi\) | |||||||
\(380\) | −3.42107 | −0.175497 | ||||||||
\(381\) | −20.6774 | + | 25.4974i | −1.05934 | + | 1.30627i | ||||
\(382\) | −16.1683 | −0.827241 | ||||||||
\(383\) | 10.5120 | − | 18.2074i | 0.537140 | − | 0.930354i | −0.461916 | − | 0.886923i | \(-0.652838\pi\) |
0.999056 | − | 0.0434304i | \(-0.0138287\pi\) | |||||||
\(384\) | 1.09097 | − | 1.34528i | 0.0556734 | − | 0.0686511i | ||||
\(385\) | −7.66307 | + | 27.4861i | −0.390546 | + | 1.40082i | ||||
\(386\) | −14.1683 | −0.721146 | ||||||||
\(387\) | −24.6975 | − | 8.06357i | −1.25545 | − | 0.409894i | ||||
\(388\) | −1.81806 | + | 3.14897i | −0.0922978 | + | 0.159865i | ||||
\(389\) | −6.86909 | − | 11.8976i | −0.348277 | − | 0.603233i | 0.637667 | − | 0.770312i | \(-0.279900\pi\) |
−0.985943 | + | 0.167080i | \(0.946566\pi\) | |||||||
\(390\) | 1.46169 | − | 1.80242i | 0.0740158 | − | 0.0912691i | ||||
\(391\) | 1.44050 | + | 2.49501i | 0.0728491 | + | 0.126178i | ||||
\(392\) | −5.99028 | − | 3.62167i | −0.302555 | − | 0.182922i | ||||
\(393\) | −4.51848 | − | 11.7961i | −0.227927 | − | 0.595035i | ||||
\(394\) | 15.8421 | 0.798115 | ||||||||
\(395\) | 11.8376 | − | 20.5034i | 0.595615 | − | 1.03164i | ||||
\(396\) | −13.6722 | + | 12.2754i | −0.687055 | + | 0.616861i | ||||
\(397\) | −3.57893 | − | 6.19889i | −0.179622 | − | 0.311114i | 0.762129 | − | 0.647425i | \(-0.224154\pi\) |
−0.941751 | + | 0.336311i | \(0.890821\pi\) | |||||||
\(398\) | −4.47141 | + | 7.74471i | −0.224132 | + | 0.388207i | ||||
\(399\) | −3.70890 | + | 8.09380i | −0.185677 | + | 0.405197i | ||||
\(400\) | 0.949657 | + | 1.64485i | 0.0474828 | + | 0.0822427i | ||||
\(401\) | 4.63968 | − | 8.03616i | 0.231695 | − | 0.401307i | −0.726612 | − | 0.687048i | \(-0.758906\pi\) |
0.958307 | + | 0.285741i | \(0.0922397\pi\) | |||||||
\(402\) | 7.40219 | − | 9.12767i | 0.369188 | − | 0.455247i | ||||
\(403\) | −2.93078 | − | 5.07626i | −0.145993 | − | 0.252867i | ||||
\(404\) | 4.00520 | + | 6.93721i | 0.199266 | + | 0.345139i | ||||
\(405\) | 1.70137 | − | 15.7563i | 0.0845419 | − | 0.782937i | ||||
\(406\) | 2.71217 | + | 2.76748i | 0.134603 | + | 0.137348i | ||||
\(407\) | 8.83693 | − | 15.3060i | 0.438030 | − | 0.758691i | ||||
\(408\) | 4.23912 | + | 11.0668i | 0.209868 | + | 0.547889i | ||||
\(409\) | 15.1683 | 0.750023 | 0.375011 | − | 0.927020i | \(-0.377639\pi\) | ||||
0.375011 | + | 0.927020i | \(0.377639\pi\) | |||||||
\(410\) | 12.2255 | 0.603772 | ||||||||
\(411\) | 13.9955 | + | 2.22687i | 0.690346 | + | 0.109843i | ||||
\(412\) | 3.41423 | − | 5.91362i | 0.168207 | − | 0.291343i | ||||
\(413\) | −1.41135 | + | 5.06227i | −0.0694481 | + | 0.249098i | ||||
\(414\) | −1.20082 | − | 0.392058i | −0.0590170 | − | 0.0192686i | ||||
\(415\) | −2.75116 | − | 4.76515i | −0.135049 | − | 0.233912i | ||||
\(416\) | −0.380438 | − | 0.658939i | −0.0186525 | − | 0.0323071i | ||||
\(417\) | −21.3211 | − | 3.39247i | −1.04410 | − | 0.166130i | ||||
\(418\) | 5.94966 | − | 10.3051i | 0.291007 | − | 0.504039i | ||||
\(419\) | −4.16827 | − | 7.21966i | −0.203633 | − | 0.352703i | 0.746063 | − | 0.665875i | \(-0.231942\pi\) |
−0.949696 | + | 0.313172i | \(0.898608\pi\) | |||||||
\(420\) | −8.03379 | + | 0.756713i | −0.392009 | + | 0.0369238i | ||||
\(421\) | −3.50232 | + | 6.06620i | −0.170693 | + | 0.295649i | −0.938662 | − | 0.344838i | \(-0.887934\pi\) |
0.767969 | + | 0.640486i | \(0.221267\pi\) | |||||||
\(422\) | 11.3856 | + | 19.7205i | 0.554244 | + | 0.959979i | ||||
\(423\) | −1.02859 | − | 4.87320i | −0.0500118 | − | 0.236943i | ||||
\(424\) | −0.112725 | + | 0.195246i | −0.00547442 | + | 0.00948197i | ||||
\(425\) | −12.9954 | −0.630367 | ||||||||
\(426\) | 11.7661 | − | 14.5088i | 0.570068 | − | 0.702953i | ||||
\(427\) | 7.35417 | − | 26.3781i | 0.355893 | − | 1.27653i | ||||
\(428\) | 1.77292 | + | 3.07078i | 0.0856971 | + | 0.148432i | ||||
\(429\) | 2.88727 | + | 7.53762i | 0.139399 | + | 0.363920i | ||||
\(430\) | 7.62476 | + | 13.2065i | 0.367699 | + | 0.636873i | ||||
\(431\) | −1.72545 | + | 2.98857i | −0.0831120 | + | 0.143954i | −0.904585 | − | 0.426293i | \(-0.859819\pi\) |
0.821473 | + | 0.570247i | \(0.193153\pi\) | |||||||
\(432\) | −4.62476 | − | 2.36887i | −0.222509 | − | 0.113972i | ||||
\(433\) | 28.2599 | 1.35809 | 0.679043 | − | 0.734099i | \(-0.262395\pi\) | ||||
0.679043 | + | 0.734099i | \(0.262395\pi\) | |||||||
\(434\) | −5.47373 | + | 19.6333i | −0.262748 | + | 0.942429i | ||||
\(435\) | 4.41135 | + | 0.701905i | 0.211508 | + | 0.0336538i | ||||
\(436\) | 0.351848 | − | 0.609419i | 0.0168505 | − | 0.0291859i | ||||
\(437\) | 0.818057 | 0.0391330 | ||||||||
\(438\) | −0.190024 | − | 0.496083i | −0.00907968 | − | 0.0237037i | ||||
\(439\) | −28.8960 | −1.37913 | −0.689566 | − | 0.724222i | \(-0.742199\pi\) | ||||
−0.689566 | + | 0.724222i | \(0.742199\pi\) | |||||||
\(440\) | 10.7850 | 0.514152 | ||||||||
\(441\) | −6.91943 | + | 19.8273i | −0.329497 | + | 0.944157i | ||||
\(442\) | 5.20602 | 0.247625 | ||||||||
\(443\) | −13.7609 | −0.653799 | −0.326899 | − | 0.945059i | \(-0.606004\pi\) | ||||
−0.326899 | + | 0.945059i | \(0.606004\pi\) | |||||||
\(444\) | 4.93598 | + | 0.785381i | 0.234251 | + | 0.0372725i | ||||
\(445\) | −4.58358 | −0.217283 | ||||||||
\(446\) | −6.44282 | + | 11.1593i | −0.305076 | + | 0.528408i | ||||
\(447\) | 5.46978 | + | 14.2796i | 0.258711 | + | 0.675401i | ||||
\(448\) | −0.710533 | + | 2.54856i | −0.0335695 | + | 0.120408i | ||||
\(449\) | −20.2003 | −0.953309 | −0.476655 | − | 0.879091i | \(-0.658151\pi\) | ||||
−0.476655 | + | 0.879091i | \(0.658151\pi\) | |||||||
\(450\) | 4.23981 | − | 3.80664i | 0.199867 | − | 0.179447i | ||||
\(451\) | −21.2616 | + | 36.8261i | −1.00117 | + | 1.73407i | ||||
\(452\) | 4.25116 | + | 7.36323i | 0.199958 | + | 0.346337i | ||||
\(453\) | 25.6346 | + | 4.07881i | 1.20442 | + | 0.191639i | ||||
\(454\) | −10.9984 | − | 19.0497i | −0.516179 | − | 0.894048i | ||||
\(455\) | −0.951980 | + | 3.41458i | −0.0446295 | + | 0.160078i | ||||
\(456\) | 3.32326 | + | 0.528775i | 0.155626 | + | 0.0247621i | ||||
\(457\) | 20.0298 | 0.936956 | 0.468478 | − | 0.883475i | \(-0.344803\pi\) | ||||
0.468478 | + | 0.883475i | \(0.344803\pi\) | |||||||
\(458\) | 1.89931 | − | 3.28971i | 0.0887491 | − | 0.153718i | ||||
\(459\) | 29.8583 | − | 19.2998i | 1.39367 | − | 0.900837i | ||||
\(460\) | 0.370723 | + | 0.642111i | 0.0172851 | + | 0.0299386i | ||||
\(461\) | 5.97661 | − | 10.3518i | 0.278359 | − | 0.482131i | −0.692618 | − | 0.721304i | \(-0.743543\pi\) |
0.970977 | + | 0.239173i | \(0.0768763\pi\) | |||||||
\(462\) | 11.6923 | − | 25.5158i | 0.543977 | − | 1.18710i | ||||
\(463\) | 6.64527 | + | 11.5100i | 0.308832 | + | 0.534913i | 0.978107 | − | 0.208102i | \(-0.0667286\pi\) |
−0.669275 | + | 0.743015i | \(0.733395\pi\) | |||||||
\(464\) | 0.732287 | − | 1.26836i | 0.0339956 | − | 0.0588820i | ||||
\(465\) | 8.40451 | + | 21.9411i | 0.389750 | + | 1.01750i | ||||
\(466\) | −3.33530 | − | 5.77690i | −0.154505 | − | 0.267610i | ||||
\(467\) | −5.61505 | − | 9.72555i | −0.259833 | − | 0.450045i | 0.706364 | − | 0.707849i | \(-0.250334\pi\) |
−0.966197 | + | 0.257804i | \(0.917001\pi\) | |||||||
\(468\) | −1.69850 | + | 1.52496i | −0.0785130 | + | 0.0704915i | ||||
\(469\) | −4.82094 | + | 17.2918i | −0.222610 | + | 0.798463i | ||||
\(470\) | −1.46169 | + | 2.53173i | −0.0674230 | + | 0.116780i | ||||
\(471\) | 20.7073 | − | 25.5342i | 0.954140 | − | 1.17655i | ||||
\(472\) | 1.98633 | 0.0914281 | ||||||||
\(473\) | −53.0416 | −2.43886 | ||||||||
\(474\) | −14.6683 | + | 18.0875i | −0.673736 | + | 0.830786i | ||||
\(475\) | −1.84501 | + | 3.19565i | −0.0846550 | + | 0.146627i | ||||
\(476\) | −12.6706 | − | 12.9290i | −0.580756 | − | 0.592601i | ||||
\(477\) | 0.642950 | + | 0.209918i | 0.0294387 | + | 0.00961150i | ||||
\(478\) | −7.82038 | − | 13.5453i | −0.357696 | − | 0.619547i | ||||
\(479\) | 16.3135 | + | 28.2559i | 0.745385 | + | 1.29104i | 0.950015 | + | 0.312205i | \(0.101068\pi\) |
−0.204630 | + | 0.978839i | \(0.565599\pi\) | |||||||
\(480\) | 1.09097 | + | 2.84813i | 0.0497958 | + | 0.129999i | ||||
\(481\) | 1.09781 | − | 1.90146i | 0.0500557 | − | 0.0866991i | ||||
\(482\) | −10.7060 | − | 18.5434i | −0.487646 | − | 0.844627i | ||||
\(483\) | 1.92107 | − | 0.180948i | 0.0874116 | − | 0.00823340i | ||||
\(484\) | −13.2564 | + | 22.9607i | −0.602562 | + | 1.04367i | ||||
\(485\) | −3.20137 | − | 5.54494i | −0.145367 | − | 0.251783i | ||||
\(486\) | −4.08809 | + | 15.0429i | −0.185440 | + | 0.682358i | ||||
\(487\) | 1.84897 | − | 3.20251i | 0.0837848 | − | 0.145120i | −0.821088 | − | 0.570802i | \(-0.806632\pi\) |
0.904873 | + | 0.425682i | \(0.139966\pi\) | |||||||
\(488\) | −10.3502 | −0.468532 | ||||||||
\(489\) | −25.7226 | − | 4.09280i | −1.16321 | − | 0.185083i | ||||
\(490\) | 10.7970 | − | 5.94631i | 0.487758 | − | 0.268627i | ||||
\(491\) | −18.7804 | − | 32.5287i | −0.847549 | − | 1.46800i | −0.883389 | − | 0.468641i | \(-0.844744\pi\) |
0.0358393 | − | 0.999358i | \(-0.488590\pi\) | |||||||
\(492\) | −11.8759 | − | 1.88962i | −0.535408 | − | 0.0851906i | ||||
\(493\) | 5.01040 | + | 8.67827i | 0.225657 | + | 0.390850i | ||||
\(494\) | 0.739123 | − | 1.28020i | 0.0332547 | − | 0.0575989i | ||||
\(495\) | −6.68194 | − | 31.6574i | −0.300331 | − | 1.42289i | ||||
\(496\) | 7.70370 | 0.345906 | ||||||||
\(497\) | −7.66307 | + | 27.4861i | −0.343736 | + | 1.23292i | ||||
\(498\) | 1.93598 | + | 5.05415i | 0.0867535 | + | 0.226482i | ||||
\(499\) | 15.8977 | − | 27.5356i | 0.711678 | − | 1.23266i | −0.252549 | − | 0.967584i | \(-0.581269\pi\) |
0.964227 | − | 0.265078i | \(-0.0853977\pi\) | |||||||
\(500\) | −12.1488 | −0.543313 | ||||||||
\(501\) | 1.95718 | + | 0.311414i | 0.0874404 | + | 0.0139129i | ||||
\(502\) | −23.6030 | −1.05345 | ||||||||
\(503\) | 30.8252 | 1.37443 | 0.687214 | − | 0.726455i | \(-0.258834\pi\) | ||||
0.687214 | + | 0.726455i | \(0.258834\pi\) | |||||||
\(504\) | 7.92107 | + | 0.506659i | 0.352832 | + | 0.0225684i | ||||
\(505\) | −14.1053 | −0.627679 | ||||||||
\(506\) | −2.57893 | −0.114648 | ||||||||
\(507\) | −7.69562 | − | 20.0904i | −0.341774 | − | 0.892248i | ||||
\(508\) | −18.9532 | −0.840913 | ||||||||
\(509\) | −4.00808 | + | 6.94220i | −0.177655 | + | 0.307708i | −0.941077 | − | 0.338193i | \(-0.890184\pi\) |
0.763422 | + | 0.645900i | \(0.223518\pi\) | |||||||
\(510\) | −20.6088 | − | 3.27913i | −0.912572 | − | 0.145202i | ||||
\(511\) | 0.567974 | + | 0.579559i | 0.0251257 | + | 0.0256382i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −0.506837 | − | 10.0825i | −0.0223774 | − | 0.445151i | ||||
\(514\) | −10.1300 | + | 17.5456i | −0.446814 | + | 0.773904i | ||||
\(515\) | 6.01204 | + | 10.4132i | 0.264922 | + | 0.458858i | ||||
\(516\) | −5.36552 | − | 14.0074i | −0.236204 | − | 0.616642i | ||||
\(517\) | −5.08414 | − | 8.80598i | −0.223600 | − | 0.387287i | ||||
\(518\) | −7.39411 | + | 1.90146i | −0.324879 | + | 0.0835453i | ||||
\(519\) | 0.542951 | − | 0.669515i | 0.0238329 | − | 0.0293885i | ||||
\(520\) | 1.33981 | 0.0587546 | ||||||||
\(521\) | 14.8646 | − | 25.7462i | 0.651229 | − | 1.12796i | −0.331596 | − | 0.943421i | \(-0.607587\pi\) |
0.982825 | − | 0.184540i | \(-0.0590795\pi\) | |||||||
\(522\) | −4.17674 | − | 1.36368i | −0.182811 | − | 0.0596864i | ||||
\(523\) | 13.4698 | + | 23.3303i | 0.588992 | + | 1.02016i | 0.994365 | + | 0.106013i | \(0.0338084\pi\) |
−0.405373 | + | 0.914152i | \(0.632858\pi\) | |||||||
\(524\) | 3.64652 | − | 6.31595i | 0.159299 | − | 0.275914i | ||||
\(525\) | −3.62584 | + | 7.91255i | −0.158245 | + | 0.345332i | ||||
\(526\) | 11.2443 | + | 19.4757i | 0.490276 | + | 0.849183i | ||||
\(527\) | −26.3549 | + | 45.6480i | −1.14804 | + | 1.98846i | ||||
\(528\) | −10.4766 | − | 1.66697i | −0.455936 | − | 0.0725455i | ||||
\(529\) | 11.4114 | + | 19.7650i | 0.496146 | + | 0.859350i | ||||
\(530\) | −0.198495 | − | 0.343803i | −0.00862207 | − | 0.0149339i | ||||
\(531\) | −1.23065 | − | 5.83052i | −0.0534057 | − | 0.253023i | ||||
\(532\) | −4.97825 | + | 1.28020i | −0.215834 | + | 0.0555037i | ||||
\(533\) | −2.64132 | + | 4.57489i | −0.114408 | + | 0.198161i | ||||
\(534\) | 4.45254 | + | 0.708458i | 0.192680 | + | 0.0306580i | ||||
\(535\) | −6.24377 | −0.269942 | ||||||||
\(536\) | 6.78495 | 0.293065 | ||||||||
\(537\) | −5.46978 | − | 14.2796i | −0.236038 | − | 0.616210i | ||||
\(538\) | −12.6706 | + | 21.9461i | −0.546268 | + | 0.946164i | ||||
\(539\) | −0.865521 | + | 42.8646i | −0.0372806 | + | 1.84631i | ||||
\(540\) | 7.68427 | − | 4.96695i | 0.330678 | − | 0.213744i | ||||
\(541\) | 7.15568 | + | 12.3940i | 0.307647 | + | 0.532859i | 0.977847 | − | 0.209321i | \(-0.0671252\pi\) |
−0.670201 | + | 0.742180i | \(0.733792\pi\) | |||||||
\(542\) | −6.87880 | − | 11.9144i | −0.295470 | − | 0.511769i | ||||
\(543\) | 1.45034 | − | 1.78843i | 0.0622403 | − | 0.0767487i | ||||
\(544\) | −3.42107 | + | 5.92546i | −0.146677 | + | 0.254052i | ||||
\(545\) | 0.619562 | + | 1.07311i | 0.0265391 | + | 0.0459671i | ||||
\(546\) | 1.45254 | − | 3.16982i | 0.0621628 | − | 0.135656i | ||||
\(547\) | 1.02463 | − | 1.77471i | 0.0438101 | − | 0.0758813i | −0.843289 | − | 0.537461i | \(-0.819384\pi\) |
0.887099 | + | 0.461579i | \(0.152717\pi\) | |||||||
\(548\) | 4.09097 | + | 7.08577i | 0.174758 | + | 0.302689i | ||||
\(549\) | 6.41260 | + | 30.3813i | 0.273683 | + | 1.29664i | ||||
\(550\) | 5.81642 | − | 10.0743i | 0.248013 | − | 0.429571i | ||||
\(551\) | 2.84540 | 0.121218 | ||||||||
\(552\) | −0.260877 | − | 0.681054i | −0.0111037 | − | 0.0289876i | ||||
\(553\) | 9.55322 | − | 34.2657i | 0.406244 | − | 1.45713i | ||||
\(554\) | 1.64132 | + | 2.84284i | 0.0697328 | + | 0.120781i | ||||
\(555\) | −5.54351 | + | 6.83572i | −0.235309 | + | 0.290160i | ||||
\(556\) | −6.23229 | − | 10.7946i | −0.264308 | − | 0.457795i | ||||
\(557\) | 8.84338 | − | 15.3172i | 0.374706 | − | 0.649010i | −0.615577 | − | 0.788077i | \(-0.711077\pi\) |
0.990283 | + | 0.139067i | \(0.0444103\pi\) | |||||||
\(558\) | −4.77292 | − | 22.6129i | −0.202054 | − | 0.957279i | ||||
\(559\) | −6.58934 | −0.278699 | ||||||||
\(560\) | −3.26088 | − | 3.32738i | −0.137797 | − | 0.140608i | ||||
\(561\) | 45.7187 | − | 56.3759i | 1.93025 | − | 2.38019i | ||||
\(562\) | 0.634479 | − | 1.09895i | 0.0267639 | − | 0.0463564i | ||||
\(563\) | 0.937063 | 0.0394925 | 0.0197462 | − | 0.999805i | \(-0.493714\pi\) | ||||
0.0197462 | + | 0.999805i | \(0.493714\pi\) | |||||||
\(564\) | 1.81122 | − | 2.23342i | 0.0762661 | − | 0.0940440i | ||||
\(565\) | −14.9715 | −0.629858 | ||||||||
\(566\) | −8.19235 | −0.344350 | ||||||||
\(567\) | −3.42038 | − | 23.5648i | −0.143642 | − | 0.989630i | ||||
\(568\) | 10.7850 | 0.452527 | ||||||||
\(569\) | 23.5264 | 0.986278 | 0.493139 | − | 0.869951i | \(-0.335849\pi\) | ||||
0.493139 | + | 0.869951i | \(0.335849\pi\) | |||||||
\(570\) | −3.73229 | + | 4.60230i | −0.156328 | + | 0.192769i | ||||
\(571\) | −0.484004 | −0.0202549 | −0.0101275 | − | 0.999949i | \(-0.503224\pi\) | ||||
−0.0101275 | + | 0.999949i | \(0.503224\pi\) | |||||||
\(572\) | −2.33009 | + | 4.03584i | −0.0974262 | + | 0.168747i | ||||
\(573\) | −17.6391 | + | 21.7509i | −0.736885 | + | 0.908655i | ||||
\(574\) | 17.7902 | − | 4.57489i | 0.742547 | − | 0.190952i | ||||
\(575\) | 0.799737 | 0.0333514 | ||||||||
\(576\) | −0.619562 | − | 2.93533i | −0.0258151 | − | 0.122305i | ||||
\(577\) | −2.23065 | + | 3.86360i | −0.0928633 | + | 0.160844i | −0.908715 | − | 0.417417i | \(-0.862935\pi\) |
0.815852 | + | 0.578261i | \(0.196269\pi\) | |||||||
\(578\) | −14.9074 | − | 25.8204i | −0.620066 | − | 1.07399i | ||||
\(579\) | −15.4572 | + | 19.0603i | −0.642379 | + | 0.792119i | ||||
\(580\) | 1.28947 | + | 2.23342i | 0.0535422 | + | 0.0927378i | ||||
\(581\) | −5.78659 | − | 5.90461i | −0.240068 | − | 0.244965i | ||||
\(582\) | 2.25280 | + | 5.88123i | 0.0933814 | + | 0.243785i | ||||
\(583\) | 1.38083 | 0.0571881 | ||||||||
\(584\) | 0.153353 | − | 0.265616i | 0.00634581 | − | 0.0109913i | ||||
\(585\) | −0.830095 | − | 3.93278i | −0.0343202 | − | 0.162600i | ||||
\(586\) | 7.72545 | + | 13.3809i | 0.319135 | + | 0.552759i | ||||
\(587\) | 8.31518 | − | 14.4023i | 0.343204 | − | 0.594447i | −0.641822 | − | 0.766854i | \(-0.721821\pi\) |
0.985026 | + | 0.172407i | \(0.0551544\pi\) | |||||||
\(588\) | −11.4074 | + | 4.10748i | −0.470433 | + | 0.169390i | ||||
\(589\) | 7.48345 | + | 12.9617i | 0.308350 | + | 0.534078i | ||||
\(590\) | −1.74884 | + | 3.02908i | −0.0719985 | + | 0.124705i | ||||
\(591\) | 17.2833 | − | 21.3121i | 0.710941 | − | 0.876663i | ||||
\(592\) | 1.44282 | + | 2.49904i | 0.0592995 | + | 0.102710i | ||||
\(593\) | 20.7632 | + | 35.9629i | 0.852642 | + | 1.47682i | 0.878815 | + | 0.477163i | \(0.158335\pi\) |
−0.0261726 | + | 0.999657i | \(0.508332\pi\) | |||||||
\(594\) | 1.59781 | + | 31.7851i | 0.0655589 | + | 1.30416i | ||||
\(595\) | 30.8720 | − | 7.93899i | 1.26563 | − | 0.325467i | ||||
\(596\) | −4.41423 | + | 7.64567i | −0.180814 | + | 0.313179i | ||||
\(597\) | 5.54063 | + | 14.4646i | 0.226763 | + | 0.591995i | ||||
\(598\) | −0.320380 | −0.0131013 | ||||||||
\(599\) | 15.0766 | 0.616014 | 0.308007 | − | 0.951384i | \(-0.400338\pi\) | ||||
0.308007 | + | 0.951384i | \(0.400338\pi\) | |||||||
\(600\) | 3.24884 | + | 0.516934i | 0.132633 | + | 0.0211037i | ||||
\(601\) | −8.05555 | + | 13.9526i | −0.328593 | + | 0.569139i | −0.982233 | − | 0.187666i | \(-0.939908\pi\) |
0.653640 | + | 0.756805i | \(0.273241\pi\) | |||||||
\(602\) | 16.0374 | + | 16.3645i | 0.653634 | + | 0.666965i | ||||
\(603\) | −4.20370 | − | 19.9161i | −0.171188 | − | 0.811044i | ||||
\(604\) | 7.49316 | + | 12.9785i | 0.304892 | + | 0.528089i | ||||
\(605\) | −23.3428 | − | 40.4310i | −0.949021 | − | 1.64375i | ||||
\(606\) | 13.7021 | + | 2.18018i | 0.556608 | + | 0.0885638i | ||||
\(607\) | −9.78659 | + | 16.9509i | −0.397225 | + | 0.688014i | −0.993382 | − | 0.114853i | \(-0.963360\pi\) |
0.596157 | + | 0.802868i | \(0.296694\pi\) | |||||||
\(608\) | 0.971410 | + | 1.68253i | 0.0393959 | + | 0.0682357i | ||||
\(609\) | 6.68194 | − | 0.629380i | 0.270766 | − | 0.0255038i | ||||
\(610\) | 9.11273 | − | 15.7837i | 0.368963 | − | 0.639063i | ||||
\(611\) | −0.631600 | − | 1.09396i | −0.0255518 | − | 0.0442570i | ||||
\(612\) | 19.5127 | + | 6.37076i | 0.788755 | + | 0.257523i | ||||
\(613\) | −2.77579 | + | 4.80782i | −0.112113 | + | 0.194186i | −0.916622 | − | 0.399755i | \(-0.869095\pi\) |
0.804509 | + | 0.593941i | \(0.202429\pi\) | |||||||
\(614\) | 4.89931 | 0.197720 | ||||||||
\(615\) | 13.3376 | − | 16.4467i | 0.537825 | − | 0.663194i | ||||
\(616\) | 15.6940 | − | 4.03584i | 0.632329 | − | 0.162609i | ||||
\(617\) | 0.634479 | + | 1.09895i | 0.0255431 | + | 0.0442420i | 0.878514 | − | 0.477716i | \(-0.158535\pi\) |
−0.852971 | + | 0.521958i | \(0.825202\pi\) | |||||||
\(618\) | −4.23065 | − | 11.0447i | −0.170182 | − | 0.444283i | ||||
\(619\) | −2.25116 | − | 3.89913i | −0.0904818 | − | 0.156719i | 0.817232 | − | 0.576309i | \(-0.195507\pi\) |
−0.907714 | + | 0.419589i | \(0.862174\pi\) | |||||||
\(620\) | −6.78263 | + | 11.7479i | −0.272397 | + | 0.471805i | ||||
\(621\) | −1.83749 | + | 1.18771i | −0.0737358 | + | 0.0476613i | ||||
\(622\) | −7.69002 | −0.308342 | ||||||||
\(623\) | −6.66991 | + | 1.71522i | −0.267224 | + | 0.0687190i | ||||
\(624\) | −1.30150 | − | 0.207087i | −0.0521019 | − | 0.00829011i | ||||
\(625\) | 5.94802 | − | 10.3023i | 0.237921 | − | 0.412091i | ||||
\(626\) | −1.72313 | −0.0688700 | ||||||||
\(627\) | −7.37236 | − | 19.2465i | −0.294424 | − | 0.768633i | ||||
\(628\) | 18.9806 | 0.757407 | ||||||||
\(629\) | −19.7439 | −0.787242 | ||||||||
\(630\) | −7.74665 | + | 11.6333i | −0.308634 | + | 0.463480i | ||||
\(631\) | −1.69905 | −0.0676381 | −0.0338191 | − | 0.999428i | \(-0.510767\pi\) | ||||
−0.0338191 | + | 0.999428i | \(0.510767\pi\) | |||||||
\(632\) | −13.4451 | −0.534819 | ||||||||
\(633\) | 38.9510 | + | 6.19763i | 1.54816 | + | 0.246334i | ||||
\(634\) | 33.2028 | 1.31865 | ||||||||
\(635\) | 16.6871 | − | 28.9030i | 0.662209 | − | 1.14698i | ||||
\(636\) | 0.139680 | + | 0.364654i | 0.00553868 | + | 0.0144595i | ||||
\(637\) | −0.107523 | + | 5.32505i | −0.00426023 | + | 0.210986i | ||||
\(638\) | −8.97017 | −0.355132 | ||||||||
\(639\) | −6.68194 | − | 31.6574i | −0.264334 | − | 1.25235i | ||||
\(640\) | −0.880438 | + | 1.52496i | −0.0348024 | + | 0.0602795i | ||||
\(641\) | 0.474289 | + | 0.821492i | 0.0187333 | + | 0.0324470i | 0.875240 | − | 0.483689i | \(-0.160703\pi\) |
−0.856507 | + | 0.516136i | \(0.827370\pi\) | |||||||
\(642\) | 6.06526 | + | 0.965064i | 0.239377 | + | 0.0380880i | ||||
\(643\) | −9.84897 | − | 17.0589i | −0.388405 | − | 0.672738i | 0.603830 | − | 0.797113i | \(-0.293641\pi\) |
−0.992235 | + | 0.124375i | \(0.960307\pi\) | |||||||
\(644\) | 0.779752 | + | 0.795655i | 0.0307265 | + | 0.0313532i | ||||
\(645\) | 26.0848 | + | 4.15044i | 1.02709 | + | 0.163424i | ||||
\(646\) | −13.2930 | −0.523007 | ||||||||
\(647\) | 11.7271 | − | 20.3119i | 0.461039 | − | 0.798543i | −0.537974 | − | 0.842962i | \(-0.680810\pi\) |
0.999013 | + | 0.0444181i | \(0.0141434\pi\) | |||||||
\(648\) | −8.23229 | + | 3.63723i | −0.323395 | + | 0.142884i | ||||
\(649\) | −6.08289 | − | 10.5359i | −0.238774 | − | 0.413569i | ||||
\(650\) | 0.722572 | − | 1.25153i | 0.0283416 | − | 0.0490891i | ||||
\(651\) | 20.4406 | + | 28.7831i | 0.801131 | + | 1.12810i | ||||
\(652\) | −7.51887 | − | 13.0231i | −0.294462 | − | 0.510023i | ||||
\(653\) | −11.3954 | + | 19.7373i | −0.445935 | + | 0.772382i | −0.998117 | − | 0.0613420i | \(-0.980462\pi\) |
0.552182 | + | 0.833724i | \(0.313795\pi\) | |||||||
\(654\) | −0.435984 | − | 1.13819i | −0.0170483 | − | 0.0445069i | ||||
\(655\) | 6.42107 | + | 11.1216i | 0.250892 | + | 0.434557i | ||||
\(656\) | −3.47141 | − | 6.01266i | −0.135536 | − | 0.234755i | ||||
\(657\) | −0.874681 | − | 0.285577i | −0.0341246 | − | 0.0111414i | ||||
\(658\) | −1.17962 | + | 4.23109i | −0.0459864 | + | 0.164945i | ||||
\(659\) | −13.2398 | + | 22.9320i | −0.515750 | + | 0.893305i | 0.484083 | + | 0.875022i | \(0.339153\pi\) |
−0.999833 | + | 0.0182828i | \(0.994180\pi\) | |||||||
\(660\) | 11.7661 | − | 14.5088i | 0.457994 | − | 0.564754i | ||||
\(661\) | −26.7382 | −1.03999 | −0.519997 | − | 0.854168i | \(-0.674067\pi\) | ||||
−0.519997 | + | 0.854168i | \(0.674067\pi\) | |||||||
\(662\) | 2.88891 | 0.112281 | ||||||||
\(663\) | 5.67962 | − | 7.00356i | 0.220578 | − | 0.271996i | ||||
\(664\) | −1.56238 | + | 2.70612i | −0.0606322 | + | 0.105018i | ||||
\(665\) | 2.43078 | − | 8.71878i | 0.0942617 | − | 0.338100i | ||||
\(666\) | 6.44158 | − | 5.78346i | 0.249606 | − | 0.224104i | ||||
\(667\) | −0.308342 | − | 0.534063i | −0.0119390 | − | 0.0206790i | ||||
\(668\) | 0.572097 | + | 0.990901i | 0.0221351 | + | 0.0383391i | ||||
\(669\) | 7.98345 | + | 20.8419i | 0.308658 | + | 0.805793i | ||||
\(670\) | −5.97373 | + | 10.3468i | −0.230785 | + | 0.399732i | ||||
\(671\) | 31.6963 | + | 54.8996i | 1.22362 | + | 2.11938i | ||||
\(672\) | 2.65335 | + | 3.73627i | 0.102355 | + | 0.144130i | ||||
\(673\) | −10.3856 | + | 17.9885i | −0.400337 | + | 0.693404i | −0.993766 | − | 0.111482i | \(-0.964440\pi\) |
0.593429 | + | 0.804886i | \(0.297774\pi\) | |||||||
\(674\) | −4.36156 | − | 7.55445i | −0.168001 | − | 0.290987i | ||||
\(675\) | −0.495487 | − | 9.85667i | −0.0190713 | − | 0.379384i | ||||
\(676\) | 6.21053 | − | 10.7570i | 0.238867 | − | 0.413729i | ||||
\(677\) | −20.6979 | −0.795486 | −0.397743 | − | 0.917497i | \(-0.630207\pi\) | ||||
−0.397743 | + | 0.917497i | \(0.630207\pi\) | |||||||
\(678\) | 14.5435 | + | 2.31407i | 0.558540 | + | 0.0888712i | ||||
\(679\) | −6.73353 | − | 6.87087i | −0.258409 | − | 0.263680i | ||||
\(680\) | −6.02408 | − | 10.4340i | −0.231013 | − | 0.400126i | ||||
\(681\) | −37.6261 | − | 5.98682i | −1.44184 | − | 0.229416i | ||||
\(682\) | −23.5917 | − | 40.8620i | −0.903371 | − | 1.56469i | ||||
\(683\) | 14.2918 | − | 24.7541i | 0.546860 | − | 0.947190i | −0.451627 | − | 0.892207i | \(-0.649156\pi\) |
0.998487 | − | 0.0549828i | \(-0.0175104\pi\) | |||||||
\(684\) | 4.33693 | − | 3.89384i | 0.165827 | − | 0.148885i | ||||
\(685\) | −14.4074 | −0.550478 | ||||||||
\(686\) | 13.4863 | − | 12.6933i | 0.514910 | − | 0.484631i | ||||
\(687\) | −2.35348 | − | 6.14409i | −0.0897910 | − | 0.234412i | ||||
\(688\) | 4.33009 | − | 7.49994i | 0.165083 | − | 0.285933i | ||||
\(689\) | 0.171540 | 0.00653515 | ||||||||
\(690\) | 1.26827 | + | 0.201799i | 0.0482822 | + | 0.00768234i | ||||
\(691\) | −6.69794 | −0.254802 | −0.127401 | − | 0.991851i | \(-0.540663\pi\) | ||||
−0.127401 | + | 0.991851i | \(0.540663\pi\) | |||||||
\(692\) | 0.497677 | 0.0189188 | ||||||||
\(693\) | −21.5699 | − | 43.5665i | −0.819373 | − | 1.65495i | ||||
\(694\) | 9.69467 | 0.368005 | ||||||||
\(695\) | 21.9486 | 0.832557 | ||||||||
\(696\) | −0.907394 | − | 2.36887i | −0.0343947 | − | 0.0897919i | ||||
\(697\) | 47.5037 | 1.79933 | ||||||||
\(698\) | 14.1992 | − | 24.5937i | 0.537447 | − | 0.930886i | ||||
\(699\) | −11.4103 | − | 1.81553i | −0.431576 | − | 0.0686695i | ||||
\(700\) | −4.86677 | + | 1.25153i | −0.183946 | + | 0.0473034i | ||||
\(701\) | −25.1442 | −0.949683 | −0.474842 | − | 0.880071i | \(-0.657495\pi\) | ||||
−0.474842 | + | 0.880071i | \(0.657495\pi\) | |||||||
\(702\) | 0.198495 | + | 3.94865i | 0.00749171 | + | 0.149032i | ||||
\(703\) | −2.80314 | + | 4.85518i | −0.105722 | + | 0.183117i | ||||
\(704\) | −3.06238 | − | 5.30420i | −0.115418 | − | 0.199910i | ||||
\(705\) | 1.81122 | + | 4.72844i | 0.0682145 | + | 0.178083i | ||||
\(706\) | 2.19686 | + | 3.80507i | 0.0826799 | + | 0.143206i | ||||
\(707\) | −20.5257 | + | 5.27836i | −0.771949 | + | 0.198513i | ||||
\(708\) | 2.16703 | − | 2.67217i | 0.0814418 | − | 0.100426i | ||||
\(709\) | 8.86621 | 0.332977 | 0.166489 | − | 0.986043i | \(-0.446757\pi\) | ||||
0.166489 | + | 0.986043i | \(0.446757\pi\) | |||||||
\(710\) | −9.49549 | + | 16.4467i | −0.356359 | + | 0.617232i | ||||
\(711\) | 8.33009 | + | 39.4659i | 0.312403 | + | 1.48009i | ||||
\(712\) | 1.30150 | + | 2.25427i | 0.0487760 | + | 0.0844824i | ||||
\(713\) | 1.62188 | − | 2.80919i | 0.0607401 | − | 0.105205i | ||||
\(714\) | −31.2164 | + | 2.94031i | −1.16825 | + | 0.110038i | ||||
\(715\) | −4.10301 | − | 7.10662i | −0.153444 | − | 0.265773i | ||||
\(716\) | 4.41423 | − | 7.64567i | 0.164968 | − | 0.285732i | ||||
\(717\) | −26.7540 | − | 4.25693i | −0.999148 | − | 0.158978i | ||||
\(718\) | 16.0796 | + | 27.8507i | 0.600086 | + | 1.03938i | ||||
\(719\) | 11.8015 | + | 20.4408i | 0.440122 | + | 0.762313i | 0.997698 | − | 0.0678123i | \(-0.0216019\pi\) |
−0.557576 | + | 0.830126i | \(0.688269\pi\) | |||||||
\(720\) | 5.02175 | + | 1.63957i | 0.187150 | + | 0.0611030i | ||||
\(721\) | 12.6453 | + | 12.9032i | 0.470935 | + | 0.480540i | ||||
\(722\) | 7.61273 | − | 13.1856i | 0.283316 | − | 0.490718i | ||||
\(723\) | −36.6260 | − | 5.82769i | −1.36214 | − | 0.216734i | ||||
\(724\) | 1.32941 | 0.0494070 | ||||||||
\(725\) | 2.78168 | 0.103309 | ||||||||
\(726\) | 16.4263 | + | 42.8830i | 0.609636 | + | 1.59154i | ||||
\(727\) | 3.25692 | − | 5.64115i | 0.120792 | − | 0.209219i | −0.799288 | − | 0.600948i | \(-0.794790\pi\) |
0.920080 | + | 0.391730i | \(0.128123\pi\) | |||||||
\(728\) | 1.94966 | − | 0.501371i | 0.0722591 | − | 0.0185820i | ||||
\(729\) | 15.7769 | + | 21.9110i | 0.584329 | + | 0.811517i | ||||
\(730\) | 0.270036 | + | 0.467717i | 0.00999449 | + | 0.0173110i | ||||
\(731\) | 29.6271 | + | 51.3156i | 1.09580 | + | 1.89798i | ||||
\(732\) | −11.2918 | + | 13.9239i | −0.417357 | + | 0.514644i | ||||
\(733\) | 11.5991 | − | 20.0901i | 0.428421 | − | 0.742047i | −0.568312 | − | 0.822813i | \(-0.692403\pi\) |
0.996733 | + | 0.0807664i | \(0.0257368\pi\) | |||||||
\(734\) | −17.3015 | − | 29.9671i | −0.638610 | − | 1.10611i | ||||
\(735\) | 3.77975 | − | 21.0122i | 0.139418 | − | 0.775048i | ||||
\(736\) | 0.210533 | − | 0.364654i | 0.00776036 | − | 0.0134413i | ||||
\(737\) | −20.7781 | − | 35.9888i | −0.765372 | − | 1.32566i | ||||
\(738\) | −15.4984 | + | 13.9149i | −0.570503 | + | 0.512216i | ||||
\(739\) | −7.57838 | + | 13.1261i | −0.278775 | + | 0.482853i | −0.971081 | − | 0.238752i | \(-0.923262\pi\) |
0.692305 | + | 0.721605i | \(0.256595\pi\) | |||||||
\(740\) | −5.08126 | −0.186791 | ||||||||
\(741\) | −0.915865 | − | 2.39099i | −0.0336451 | − | 0.0878352i | ||||
\(742\) | −0.417500 | − | 0.426015i | −0.0153269 | − | 0.0156395i | ||||
\(743\) | −5.21737 | − | 9.03675i | −0.191407 | − | 0.331526i | 0.754310 | − | 0.656518i | \(-0.227972\pi\) |
−0.945717 | + | 0.324992i | \(0.894638\pi\) | |||||||
\(744\) | 8.40451 | − | 10.3636i | 0.308124 | − | 0.379949i | ||||
\(745\) | −7.77292 | − | 13.4631i | −0.284778 | − | 0.493249i | ||||
\(746\) | −5.48796 | + | 9.50543i | −0.200929 | + | 0.348018i | ||||
\(747\) | 8.91135 | + | 2.90949i | 0.326049 | + | 0.106453i | ||||
\(748\) | 41.9064 | 1.53225 | ||||||||
\(749\) | −9.08577 | + | 2.33648i | −0.331987 | + | 0.0853733i | ||||
\(750\) | −13.2540 | + | 16.3436i | −0.483969 | + | 0.596784i | ||||
\(751\) | −20.1059 | + | 34.8244i | −0.733674 | + | 1.27076i | 0.221628 | + | 0.975131i | \(0.428863\pi\) |
−0.955303 | + | 0.295630i | \(0.904470\pi\) | |||||||
\(752\) | 1.66019 | 0.0605409 | ||||||||
\(753\) | −25.7502 | + | 31.7527i | −0.938390 | + | 1.15713i | ||||
\(754\) | −1.11436 | −0.0405826 | ||||||||
\(755\) | −26.3891 | −0.960397 | ||||||||
\(756\) | 9.32326 | − | 10.1033i | 0.339084 | − | 0.367454i | ||||
\(757\) | −21.5206 | −0.782181 | −0.391091 | − | 0.920352i | \(-0.627902\pi\) | ||||
−0.391091 | + | 0.920352i | \(0.627902\pi\) | |||||||
\(758\) | 33.9877 | 1.23449 | ||||||||
\(759\) | −2.81354 | + | 3.46939i | −0.102125 | + | 0.125931i | ||||
\(760\) | −3.42107 | −0.124095 | ||||||||
\(761\) | 11.8313 | − | 20.4925i | 0.428886 | − | 0.742852i | −0.567889 | − | 0.823105i | \(-0.692240\pi\) |
0.996774 | + | 0.0802535i | \(0.0255730\pi\) | |||||||
\(762\) | −20.6774 | + | 25.4974i | −0.749064 | + | 0.923674i | ||||
\(763\) | 1.30314 | + | 1.32972i | 0.0471768 | + | 0.0481390i | ||||
\(764\) | −16.1683 | −0.584947 | ||||||||
\(765\) | −26.8949 | + | 24.1471i | −0.972388 | + | 0.873042i | ||||
\(766\) | 10.5120 | − | 18.2074i | 0.379815 | − | 0.657860i | ||||
\(767\) | −0.755675 | − | 1.30887i | −0.0272858 | − | 0.0472605i |