Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(188,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.188");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.t (of order \(12\), degree \(4\), not 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 188.1 | ||
Root | \(-2.64975i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.188 |
Dual form | 845.2.t.e.427.1 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.29475 | − | 1.32488i | −1.62264 | − | 0.936830i | −0.986211 | − | 0.165491i | \(-0.947079\pi\) |
−0.636425 | − | 0.771338i | \(-0.719588\pi\) | |||||||
\(3\) | −1.25278 | + | 0.335680i | −0.723291 | + | 0.193805i | −0.601640 | − | 0.798768i | \(-0.705486\pi\) |
−0.121651 | + | 0.992573i | \(0.538819\pi\) | |||||||
\(4\) | 2.51060 | + | 4.34849i | 1.25530 | + | 2.17424i | ||||
\(5\) | −1.81654 | − | 1.30391i | −0.812382 | − | 0.583126i | ||||
\(6\) | 3.31955 | + | 0.889471i | 1.35520 | + | 0.363125i | ||||
\(7\) | −0.0561740 | − | 0.0972962i | −0.0212318 | − | 0.0367745i | 0.855214 | − | 0.518275i | \(-0.173425\pi\) |
−0.876446 | + | 0.481500i | \(0.840092\pi\) | |||||||
\(8\) | − | 8.00544i | − | 2.83035i | ||||||
\(9\) | −1.14131 | + | 0.658935i | −0.380436 | + | 0.219645i | ||||
\(10\) | 2.44100 | + | 5.39885i | 0.771911 | + | 1.70726i | ||||
\(11\) | 1.78976 | − | 0.479564i | 0.539632 | − | 0.144594i | 0.0212994 | − | 0.999773i | \(-0.493220\pi\) |
0.518332 | + | 0.855179i | \(0.326553\pi\) | |||||||
\(12\) | −4.60492 | − | 4.60492i | −1.32933 | − | 1.32933i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 0.297695i | 0.0795622i | ||||||||
\(15\) | 2.71342 | + | 1.02373i | 0.700601 | + | 0.264326i | ||||
\(16\) | −5.58502 | + | 9.67354i | −1.39626 | + | 2.41838i | ||||
\(17\) | 0.706500 | − | 2.63669i | 0.171351 | − | 0.639492i | −0.825793 | − | 0.563973i | \(-0.809272\pi\) |
0.997144 | − | 0.0755186i | \(-0.0240612\pi\) | |||||||
\(18\) | 3.49203 | 0.823080 | ||||||||
\(19\) | −1.80138 | + | 6.72284i | −0.413265 | + | 1.54233i | 0.375021 | + | 0.927016i | \(0.377636\pi\) |
−0.788286 | + | 0.615309i | \(0.789031\pi\) | |||||||
\(20\) | 1.10942 | − | 11.1728i | 0.248075 | − | 2.49831i | ||||
\(21\) | 0.103034 | + | 0.103034i | 0.0224838 | + | 0.0224838i | ||||
\(22\) | −4.74241 | − | 1.27073i | −1.01109 | − | 0.270920i | ||||
\(23\) | 0.831519 | + | 3.10327i | 0.173384 | + | 0.647077i | 0.996821 | + | 0.0796701i | \(0.0253867\pi\) |
−0.823438 | + | 0.567407i | \(0.807947\pi\) | |||||||
\(24\) | 2.68727 | + | 10.0290i | 0.548536 | + | 2.04717i | ||||
\(25\) | 1.59964 | + | 4.73721i | 0.319928 | + | 0.947442i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.95990 | − | 3.95990i | 0.762083 | − | 0.762083i | ||||
\(28\) | 0.282061 | − | 0.488544i | 0.0533045 | − | 0.0923261i | ||||
\(29\) | 4.03134 | + | 2.32749i | 0.748601 | + | 0.432205i | 0.825188 | − | 0.564858i | \(-0.191069\pi\) |
−0.0765874 | + | 0.997063i | \(0.524402\pi\) | |||||||
\(30\) | −4.87031 | − | 5.94415i | −0.889193 | − | 1.08525i | ||||
\(31\) | 0.624367 | − | 0.624367i | 0.112140 | − | 0.112140i | −0.648810 | − | 0.760950i | \(-0.724733\pi\) |
0.760950 | + | 0.648810i | \(0.224733\pi\) | |||||||
\(32\) | 11.7667 | − | 6.79350i | 2.08008 | − | 1.20093i | ||||
\(33\) | −2.08118 | + | 1.20157i | −0.362288 | + | 0.209167i | ||||
\(34\) | −5.11454 | + | 5.11454i | −0.877136 | + | 0.877136i | ||||
\(35\) | −0.0248231 | + | 0.249988i | −0.00419587 | + | 0.0422557i | ||||
\(36\) | −5.73074 | − | 3.30864i | −0.955123 | − | 0.551441i | ||||
\(37\) | 0.737435 | − | 1.27728i | 0.121234 | − | 0.209983i | −0.799021 | − | 0.601303i | \(-0.794648\pi\) |
0.920254 | + | 0.391321i | \(0.127982\pi\) | |||||||
\(38\) | 13.0407 | − | 13.0407i | 2.11548 | − | 2.11548i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −10.4384 | + | 14.5422i | −1.65045 | + | 2.29932i | ||||
\(41\) | −1.40424 | − | 5.24069i | −0.219305 | − | 0.818458i | −0.984606 | − | 0.174786i | \(-0.944077\pi\) |
0.765301 | − | 0.643672i | \(-0.222590\pi\) | |||||||
\(42\) | −0.0999302 | − | 0.372945i | −0.0154196 | − | 0.0575466i | ||||
\(43\) | −3.76415 | − | 1.00860i | −0.574027 | − | 0.153810i | −0.0398840 | − | 0.999204i | \(-0.512699\pi\) |
−0.534143 | + | 0.845394i | \(0.679366\pi\) | |||||||
\(44\) | 6.57874 | + | 6.57874i | 0.991782 | + | 0.991782i | ||||
\(45\) | 2.93243 | + | 0.291181i | 0.437140 | + | 0.0434067i | ||||
\(46\) | 2.20332 | − | 8.22291i | 0.324862 | − | 1.21240i | ||||
\(47\) | 0.345095 | 0.0503372 | 0.0251686 | − | 0.999683i | \(-0.491988\pi\) | ||||
0.0251686 | + | 0.999683i | \(0.491988\pi\) | |||||||
\(48\) | 3.74956 | − | 13.9936i | 0.541203 | − | 2.01980i | ||||
\(49\) | 3.49369 | − | 6.05125i | 0.499098 | − | 0.864464i | ||||
\(50\) | 2.60544 | − | 12.9901i | 0.368464 | − | 1.83707i | ||||
\(51\) | 3.54034i | 0.495747i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.59144 | − | 3.59144i | −0.493322 | − | 0.493322i | 0.416029 | − | 0.909351i | \(-0.363421\pi\) |
−0.909351 | + | 0.416029i | \(0.863421\pi\) | |||||||
\(54\) | −14.3334 | + | 3.84062i | −1.95053 | + | 0.522642i | ||||
\(55\) | −3.87647 | − | 1.46253i | −0.522703 | − | 0.197208i | ||||
\(56\) | −0.778898 | + | 0.449697i | −0.104085 | + | 0.0600933i | ||||
\(57\) | − | 9.02691i | − | 1.19564i | ||||||
\(58\) | −6.16729 | − | 10.6821i | −0.809805 | − | 1.40262i | ||||
\(59\) | 1.24088 | + | 0.332494i | 0.161549 | + | 0.0432870i | 0.338687 | − | 0.940899i | \(-0.390017\pi\) |
−0.177138 | + | 0.984186i | \(0.556684\pi\) | |||||||
\(60\) | 2.36063 | + | 14.3694i | 0.304756 | + | 1.85508i | ||||
\(61\) | 1.39151 | + | 2.41016i | 0.178164 | + | 0.308589i | 0.941252 | − | 0.337706i | \(-0.109651\pi\) |
−0.763088 | + | 0.646295i | \(0.776318\pi\) | |||||||
\(62\) | −2.25998 | + | 0.605559i | −0.287017 | + | 0.0769061i | ||||
\(63\) | 0.128224 | + | 0.0740300i | 0.0161547 | + | 0.00932691i | ||||
\(64\) | −13.6621 | −1.70776 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 6.36774 | 0.783815 | ||||||||
\(67\) | 0.124992 | + | 0.0721643i | 0.0152702 | + | 0.00881627i | 0.507616 | − | 0.861584i | \(-0.330527\pi\) |
−0.492345 | + | 0.870400i | \(0.663860\pi\) | |||||||
\(68\) | 13.2394 | − | 3.54747i | 1.60551 | − | 0.430194i | ||||
\(69\) | −2.08342 | − | 3.60858i | −0.250814 | − | 0.434422i | ||||
\(70\) | 0.388167 | − | 0.540774i | 0.0463948 | − | 0.0646349i | ||||
\(71\) | −5.28713 | − | 1.41668i | −0.627467 | − | 0.168129i | −0.0689472 | − | 0.997620i | \(-0.521964\pi\) |
−0.558520 | + | 0.829491i | \(0.688631\pi\) | |||||||
\(72\) | 5.27506 | + | 9.13667i | 0.621672 | + | 1.07677i | ||||
\(73\) | − | 9.06221i | − | 1.06065i | −0.847794 | − | 0.530326i | \(-0.822070\pi\) | ||
0.847794 | − | 0.530326i | \(-0.177930\pi\) | |||||||
\(74\) | −3.38447 | + | 1.95402i | −0.393436 | + | 0.227151i | ||||
\(75\) | −3.59418 | − | 5.39770i | −0.415020 | − | 0.623272i | ||||
\(76\) | −33.7567 | + | 9.04509i | −3.87216 | + | 1.03754i | ||||
\(77\) | −0.147197 | − | 0.147197i | −0.0167747 | − | 0.0167747i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 15.1689i | − | 1.70664i | −0.521388 | − | 0.853320i | \(-0.674586\pi\) | ||
0.521388 | − | 0.853320i | \(-0.325414\pi\) | |||||||
\(80\) | 22.7588 | − | 10.2900i | 2.54451 | − | 1.15046i | ||||
\(81\) | −1.65480 | + | 2.86620i | −0.183867 | + | 0.318467i | ||||
\(82\) | −3.72089 | + | 13.8865i | −0.410903 | + | 1.53351i | ||||
\(83\) | −8.53853 | −0.937226 | −0.468613 | − | 0.883404i | \(-0.655246\pi\) | ||||
−0.468613 | + | 0.883404i | \(0.655246\pi\) | |||||||
\(84\) | −0.189365 | + | 0.706718i | −0.0206614 | + | 0.0771093i | ||||
\(85\) | −4.72139 | + | 3.86845i | −0.512107 | + | 0.419592i | ||||
\(86\) | 7.30152 | + | 7.30152i | 0.787343 | + | 0.787343i | ||||
\(87\) | −5.83166 | − | 1.56259i | −0.625219 | − | 0.167527i | ||||
\(88\) | −3.83912 | − | 14.3278i | −0.409251 | − | 1.52735i | ||||
\(89\) | 0.147301 | + | 0.549735i | 0.0156139 | + | 0.0582718i | 0.973293 | − | 0.229565i | \(-0.0737305\pi\) |
−0.957679 | + | 0.287837i | \(0.907064\pi\) | |||||||
\(90\) | −6.34342 | − | 4.55329i | −0.668655 | − | 0.479959i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −11.4069 | + | 11.4069i | −1.18925 | + | 1.18925i | ||||
\(93\) | −0.572604 | + | 0.991779i | −0.0593763 | + | 0.102843i | ||||
\(94\) | −0.791908 | − | 0.457208i | −0.0816791 | − | 0.0471574i | ||||
\(95\) | 12.0383 | − | 9.86348i | 1.23510 | − | 1.01197i | ||||
\(96\) | −12.4606 | + | 12.4606i | −1.27175 | + | 1.27175i | ||||
\(97\) | −12.9596 | + | 7.48223i | −1.31585 | + | 0.759705i | −0.983058 | − | 0.183296i | \(-0.941323\pi\) |
−0.332790 | + | 0.943001i | \(0.607990\pi\) | |||||||
\(98\) | −16.0343 | + | 9.25742i | −1.61971 | + | 0.935140i | ||||
\(99\) | −1.72666 | + | 1.72666i | −0.173536 | + | 0.173536i | ||||
\(100\) | −16.5836 | + | 18.8493i | −1.65836 | + | 1.88493i | ||||
\(101\) | −7.19717 | − | 4.15529i | −0.716146 | − | 0.413467i | 0.0971867 | − | 0.995266i | \(-0.469016\pi\) |
−0.813332 | + | 0.581799i | \(0.802349\pi\) | |||||||
\(102\) | 4.69052 | − | 8.12422i | 0.464431 | − | 0.804418i | ||||
\(103\) | −7.72940 | + | 7.72940i | −0.761600 | + | 0.761600i | −0.976612 | − | 0.215011i | \(-0.931021\pi\) |
0.215011 | + | 0.976612i | \(0.431021\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.0528184 | − | 0.321512i | −0.00515455 | − | 0.0313764i | ||||
\(106\) | 3.48325 | + | 12.9997i | 0.338324 | + | 1.26264i | ||||
\(107\) | −1.91631 | − | 7.15177i | −0.185257 | − | 0.691388i | −0.994575 | − | 0.104018i | \(-0.966830\pi\) |
0.809318 | − | 0.587370i | \(-0.199837\pi\) | |||||||
\(108\) | 27.1613 | + | 7.27785i | 2.61360 | + | 0.700311i | ||||
\(109\) | −3.34544 | − | 3.34544i | −0.320435 | − | 0.320435i | 0.528499 | − | 0.848934i | \(-0.322755\pi\) |
−0.848934 | + | 0.528499i | \(0.822755\pi\) | |||||||
\(110\) | 6.95788 | + | 8.49200i | 0.663408 | + | 0.809681i | ||||
\(111\) | −0.495085 | + | 1.84768i | −0.0469914 | + | 0.175374i | ||||
\(112\) | 1.25493 | 0.118580 | ||||||||
\(113\) | 1.58274 | − | 5.90688i | 0.148892 | − | 0.555672i | −0.850659 | − | 0.525717i | \(-0.823797\pi\) |
0.999551 | − | 0.0299550i | \(-0.00953640\pi\) | |||||||
\(114\) | −11.9595 | + | 20.7145i | −1.12011 | + | 1.94009i | ||||
\(115\) | 2.53590 | − | 6.72145i | 0.236474 | − | 0.626778i | ||||
\(116\) | 23.3736i | 2.17019i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.40701 | − | 2.40701i | −0.221583 | − | 0.221583i | ||||
\(119\) | −0.296227 | + | 0.0793738i | −0.0271551 | + | 0.00727618i | ||||
\(120\) | 8.19540 | − | 21.7221i | 0.748134 | − | 1.98295i | ||||
\(121\) | −6.55303 | + | 3.78340i | −0.595730 | + | 0.343945i | ||||
\(122\) | − | 7.37430i | − | 0.667638i | ||||||
\(123\) | 3.51839 | + | 6.09404i | 0.317243 | + | 0.549481i | ||||
\(124\) | 4.28258 | + | 1.14751i | 0.384587 | + | 0.103050i | ||||
\(125\) | 3.27108 | − | 10.6911i | 0.292574 | − | 0.956243i | ||||
\(126\) | −0.196161 | − | 0.339761i | −0.0174754 | − | 0.0302684i | ||||
\(127\) | 11.2706 | − | 3.01994i | 1.00010 | − | 0.267976i | 0.278613 | − | 0.960403i | \(-0.410125\pi\) |
0.721488 | + | 0.692427i | \(0.243459\pi\) | |||||||
\(128\) | 7.81784 | + | 4.51363i | 0.691006 | + | 0.398953i | ||||
\(129\) | 5.05420 | 0.444997 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.46380 | 0.652115 | 0.326058 | − | 0.945350i | \(-0.394280\pi\) | ||||
0.326058 | + | 0.945350i | \(0.394280\pi\) | |||||||
\(132\) | −10.4500 | − | 6.03333i | −0.909559 | − | 0.525134i | ||||
\(133\) | 0.755298 | − | 0.202381i | 0.0654926 | − | 0.0175487i | ||||
\(134\) | −0.191218 | − | 0.331199i | −0.0165187 | − | 0.0286112i | ||||
\(135\) | −12.3567 | + | 2.02997i | −1.06349 | + | 0.174712i | ||||
\(136\) | −21.1079 | − | 5.65584i | −1.80998 | − | 0.484984i | ||||
\(137\) | −9.24213 | − | 16.0078i | −0.789608 | − | 1.36764i | −0.926207 | − | 0.377015i | \(-0.876950\pi\) |
0.136599 | − | 0.990626i | \(-0.456383\pi\) | |||||||
\(138\) | 11.0411i | 0.939879i | ||||||||
\(139\) | 9.44862 | − | 5.45516i | 0.801421 | − | 0.462701i | −0.0425466 | − | 0.999094i | \(-0.513547\pi\) |
0.843968 | + | 0.536394i | \(0.180214\pi\) | |||||||
\(140\) | −1.14939 | + | 0.519678i | −0.0971413 | + | 0.0439208i | ||||
\(141\) | −0.432327 | + | 0.115842i | −0.0364085 | + | 0.00975562i | ||||
\(142\) | 10.2557 | + | 10.2557i | 0.860643 | + | 0.860643i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 14.7207i | − | 1.22672i | ||||||
\(145\) | −4.28825 | − | 9.48449i | −0.356120 | − | 0.787644i | ||||
\(146\) | −12.0063 | + | 20.7955i | −0.993650 | + | 1.72105i | ||||
\(147\) | −2.34553 | + | 8.75362i | −0.193456 | + | 0.721987i | ||||
\(148\) | 7.40562 | 0.608738 | ||||||||
\(149\) | 3.60307 | − | 13.4468i | 0.295175 | − | 1.10161i | −0.645903 | − | 0.763419i | \(-0.723519\pi\) |
0.941078 | − | 0.338189i | \(-0.109814\pi\) | |||||||
\(150\) | 1.09648 | + | 17.1482i | 0.0895272 | + | 1.40015i | ||||
\(151\) | 8.49593 | + | 8.49593i | 0.691389 | + | 0.691389i | 0.962537 | − | 0.271149i | \(-0.0874035\pi\) |
−0.271149 | + | 0.962537i | \(0.587404\pi\) | |||||||
\(152\) | 53.8193 | + | 14.4208i | 4.36532 | + | 1.16968i | ||||
\(153\) | 0.931075 | + | 3.47482i | 0.0752729 | + | 0.280922i | ||||
\(154\) | 0.142763 | + | 0.532801i | 0.0115042 | + | 0.0429343i | ||||
\(155\) | −1.94830 | + | 0.320070i | −0.156492 | + | 0.0257086i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.14491 | + | 5.14491i | −0.410609 | + | 0.410609i | −0.881951 | − | 0.471342i | \(-0.843770\pi\) |
0.471342 | + | 0.881951i | \(0.343770\pi\) | |||||||
\(158\) | −20.0970 | + | 34.8090i | −1.59883 | + | 2.76926i | ||||
\(159\) | 5.70484 | + | 3.29369i | 0.452423 | + | 0.261207i | ||||
\(160\) | −30.2328 | − | 3.00202i | −2.39011 | − | 0.237331i | ||||
\(161\) | 0.255227 | − | 0.255227i | 0.0201147 | − | 0.0201147i | ||||
\(162\) | 7.59474 | − | 4.38482i | 0.596699 | − | 0.344504i | ||||
\(163\) | 17.7686 | − | 10.2587i | 1.39175 | − | 0.803526i | 0.398239 | − | 0.917282i | \(-0.369621\pi\) |
0.993509 | + | 0.113756i | \(0.0362881\pi\) | |||||||
\(164\) | 19.2636 | − | 19.2636i | 1.50423 | − | 1.50423i | ||||
\(165\) | 5.34730 | + | 0.530970i | 0.416286 | + | 0.0413360i | ||||
\(166\) | 19.5938 | + | 11.3125i | 1.52078 | + | 0.878021i | ||||
\(167\) | −1.27050 | + | 2.20058i | −0.0983146 | + | 0.170286i | −0.910987 | − | 0.412435i | \(-0.864678\pi\) |
0.812673 | + | 0.582721i | \(0.198012\pi\) | |||||||
\(168\) | 0.824831 | − | 0.824831i | 0.0636371 | − | 0.0636371i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 15.9597 | − | 2.62187i | 1.22405 | − | 0.201088i | ||||
\(171\) | −2.37398 | − | 8.85983i | −0.181543 | − | 0.677528i | ||||
\(172\) | −5.06438 | − | 18.9005i | −0.386155 | − | 1.44115i | ||||
\(173\) | −0.0762079 | − | 0.0204199i | −0.00579398 | − | 0.00155249i | 0.255921 | − | 0.966698i | \(-0.417621\pi\) |
−0.261715 | + | 0.965145i | \(0.584288\pi\) | |||||||
\(174\) | 11.3120 | + | 11.3120i | 0.857560 | + | 0.857560i | ||||
\(175\) | 0.371054 | − | 0.421747i | 0.0280491 | − | 0.0318811i | ||||
\(176\) | −5.35675 | + | 19.9916i | −0.403780 | + | 1.50693i | ||||
\(177\) | −1.66616 | −0.125236 | ||||||||
\(178\) | 0.390312 | − | 1.45666i | 0.0292551 | − | 0.109182i | ||||
\(179\) | 10.6120 | − | 18.3806i | 0.793181 | − | 1.37383i | −0.130808 | − | 0.991408i | \(-0.541757\pi\) |
0.923988 | − | 0.382421i | \(-0.124910\pi\) | |||||||
\(180\) | 6.09595 | + | 13.4827i | 0.454365 | + | 1.00494i | ||||
\(181\) | − | 22.5267i | − | 1.67440i | −0.546899 | − | 0.837198i | \(-0.684192\pi\) | ||
0.546899 | − | 0.837198i | \(-0.315808\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.55229 | − | 2.55229i | −0.188671 | − | 0.188671i | ||||
\(184\) | 24.8430 | − | 6.65667i | 1.83145 | − | 0.490737i | ||||
\(185\) | −3.00503 | + | 1.35867i | −0.220934 | + | 0.0998917i | ||||
\(186\) | 2.62797 | − | 1.51726i | 0.192692 | − | 0.111251i | ||||
\(187\) | − | 5.05785i | − | 0.369866i | ||||||
\(188\) | 0.866395 | + | 1.50064i | 0.0631883 | + | 0.109445i | ||||
\(189\) | −0.607727 | − | 0.162840i | −0.0442056 | − | 0.0118449i | ||||
\(190\) | −40.6927 | + | 6.68506i | −2.95216 | + | 0.484985i | ||||
\(191\) | −9.80326 | − | 16.9797i | −0.709339 | − | 1.22861i | −0.965103 | − | 0.261872i | \(-0.915660\pi\) |
0.255764 | − | 0.966739i | \(-0.417673\pi\) | |||||||
\(192\) | 17.1156 | − | 4.58610i | 1.23521 | − | 0.330974i | ||||
\(193\) | 14.4730 | + | 8.35601i | 1.04179 | + | 0.601479i | 0.920340 | − | 0.391119i | \(-0.127912\pi\) |
0.121451 | + | 0.992597i | \(0.461245\pi\) | |||||||
\(194\) | 39.6521 | 2.84686 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 35.0850 | 2.50607 | ||||||||
\(197\) | 13.1517 | + | 7.59315i | 0.937021 | + | 0.540990i | 0.889025 | − | 0.457858i | \(-0.151383\pi\) |
0.0479960 | + | 0.998848i | \(0.484717\pi\) | |||||||
\(198\) | 6.24989 | − | 1.67465i | 0.444160 | − | 0.119012i | ||||
\(199\) | −6.97357 | − | 12.0786i | −0.494343 | − | 0.856228i | 0.505636 | − | 0.862747i | \(-0.331258\pi\) |
−0.999979 | + | 0.00651960i | \(0.997925\pi\) | |||||||
\(200\) | 37.9234 | − | 12.8058i | 2.68159 | − | 0.905508i | ||||
\(201\) | −0.180811 | − | 0.0484483i | −0.0127535 | − | 0.00341728i | ||||
\(202\) | 11.0105 | + | 19.0707i | 0.774696 | + | 1.34181i | ||||
\(203\) | − | 0.522979i | − | 0.0367059i | ||||||
\(204\) | −15.3951 | + | 8.88838i | −1.07787 | + | 0.622311i | ||||
\(205\) | −4.28253 | + | 11.3509i | −0.299105 | + | 0.792783i | ||||
\(206\) | 27.9776 | − | 7.49657i | 1.94929 | − | 0.522311i | ||||
\(207\) | −2.99388 | − | 2.99388i | −0.208089 | − | 0.208089i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.8961i | 0.892044i | ||||||||
\(210\) | −0.304759 | + | 0.807769i | −0.0210304 | + | 0.0557414i | ||||
\(211\) | 11.8091 | − | 20.4539i | 0.812969 | − | 1.40810i | −0.0978083 | − | 0.995205i | \(-0.531183\pi\) |
0.910777 | − | 0.412898i | \(-0.135483\pi\) | |||||||
\(212\) | 6.60065 | − | 24.6340i | 0.453335 | − | 1.69187i | ||||
\(213\) | 7.09915 | 0.486426 | ||||||||
\(214\) | −5.07776 | + | 18.9504i | −0.347108 | + | 1.29543i | ||||
\(215\) | 5.52260 | + | 6.74027i | 0.376638 | + | 0.459682i | ||||
\(216\) | −31.7007 | − | 31.7007i | −2.15696 | − | 2.15696i | ||||
\(217\) | −0.0958217 | − | 0.0256753i | −0.00650480 | − | 0.00174296i | ||||
\(218\) | 3.24467 | + | 12.1093i | 0.219757 | + | 0.820143i | ||||
\(219\) | 3.04201 | + | 11.3529i | 0.205560 | + | 0.767159i | ||||
\(220\) | −3.37247 | − | 20.5286i | −0.227372 | − | 1.38404i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 3.58405 | − | 3.58405i | 0.240546 | − | 0.240546i | ||||
\(223\) | 4.86319 | − | 8.42330i | 0.325664 | − | 0.564066i | −0.655983 | − | 0.754776i | \(-0.727746\pi\) |
0.981646 | + | 0.190710i | \(0.0610790\pi\) | |||||||
\(224\) | −1.32196 | − | 0.763236i | −0.0883274 | − | 0.0509958i | ||||
\(225\) | −4.94720 | − | 4.35256i | −0.329813 | − | 0.290171i | ||||
\(226\) | −11.4579 | + | 11.4579i | −0.762168 | + | 0.762168i | ||||
\(227\) | 7.94647 | − | 4.58790i | 0.527426 | − | 0.304510i | −0.212542 | − | 0.977152i | \(-0.568174\pi\) |
0.739968 | + | 0.672642i | \(0.234841\pi\) | |||||||
\(228\) | 39.2534 | − | 22.6629i | 2.59962 | − | 1.50089i | ||||
\(229\) | −12.5270 | + | 12.5270i | −0.827811 | + | 0.827811i | −0.987214 | − | 0.159403i | \(-0.949043\pi\) |
0.159403 | + | 0.987214i | \(0.449043\pi\) | |||||||
\(230\) | −14.7244 | + | 12.0643i | −0.970895 | + | 0.795498i | ||||
\(231\) | 0.233817 | + | 0.134994i | 0.0153840 | + | 0.00888197i | ||||
\(232\) | 18.6326 | − | 32.2726i | 1.22329 | − | 2.11880i | ||||
\(233\) | −11.8637 | + | 11.8637i | −0.777214 | + | 0.777214i | −0.979356 | − | 0.202142i | \(-0.935210\pi\) |
0.202142 | + | 0.979356i | \(0.435210\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.626879 | − | 0.449972i | −0.0408931 | − | 0.0293530i | ||||
\(236\) | 1.66952 | + | 6.23072i | 0.108676 | + | 0.405585i | ||||
\(237\) | 5.09192 | + | 19.0033i | 0.330756 | + | 1.23440i | ||||
\(238\) | 0.784929 | + | 0.210321i | 0.0508794 | + | 0.0136331i | ||||
\(239\) | 18.2161 | + | 18.2161i | 1.17830 | + | 1.17830i | 0.980177 | + | 0.198124i | \(0.0634848\pi\) |
0.198124 | + | 0.980177i | \(0.436515\pi\) | |||||||
\(240\) | −25.0576 | + | 20.5308i | −1.61746 | + | 1.32526i | ||||
\(241\) | −1.41585 | + | 5.28403i | −0.0912030 | + | 0.340374i | −0.996416 | − | 0.0845830i | \(-0.973044\pi\) |
0.905213 | + | 0.424957i | \(0.139711\pi\) | |||||||
\(242\) | 20.0501 | 1.28887 | ||||||||
\(243\) | −3.23730 | + | 12.0818i | −0.207673 | + | 0.775046i | ||||
\(244\) | −6.98703 | + | 12.1019i | −0.447299 | + | 0.774744i | ||||
\(245\) | −14.2367 | + | 6.43688i | −0.909550 | + | 0.411237i | ||||
\(246\) | − | 18.6458i | − | 1.18881i | ||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −4.99833 | − | 4.99833i | −0.317394 | − | 0.317394i | ||||
\(249\) | 10.6969 | − | 2.86622i | 0.677887 | − | 0.181639i | ||||
\(250\) | −21.6707 | + | 20.1997i | −1.37058 | + | 1.27754i | ||||
\(251\) | −11.3169 | + | 6.53384i | −0.714319 | + | 0.412412i | −0.812658 | − | 0.582741i | \(-0.801980\pi\) |
0.0983394 | + | 0.995153i | \(0.468647\pi\) | |||||||
\(252\) | 0.743439i | 0.0468322i | ||||||||
\(253\) | 2.97643 | + | 5.15533i | 0.187127 | + | 0.324113i | ||||
\(254\) | −29.8642 | − | 8.00209i | −1.87385 | − | 0.502096i | ||||
\(255\) | 4.61629 | − | 6.43118i | 0.289083 | − | 0.402736i | ||||
\(256\) | 1.70209 | + | 2.94811i | 0.106381 | + | 0.184257i | ||||
\(257\) | −16.8541 | + | 4.51603i | −1.05133 | + | 0.281702i | −0.742800 | − | 0.669513i | \(-0.766503\pi\) |
−0.308528 | + | 0.951215i | \(0.599836\pi\) | |||||||
\(258\) | −11.5981 | − | 6.69619i | −0.722069 | − | 0.416887i | ||||
\(259\) | −0.165699 | −0.0102960 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.13467 | −0.379727 | ||||||||
\(262\) | −17.1276 | − | 9.88862i | −1.05815 | − | 0.610921i | ||||
\(263\) | −20.1379 | + | 5.39593i | −1.24175 | + | 0.332727i | −0.819146 | − | 0.573585i | \(-0.805552\pi\) |
−0.422608 | + | 0.906312i | \(0.638885\pi\) | |||||||
\(264\) | 9.61911 | + | 16.6608i | 0.592015 | + | 1.02540i | ||||
\(265\) | 1.84108 | + | 11.2069i | 0.113097 | + | 0.688434i | ||||
\(266\) | −2.00135 | − | 0.536261i | −0.122711 | − | 0.0328803i | ||||
\(267\) | −0.369071 | − | 0.639249i | −0.0225868 | − | 0.0391214i | ||||
\(268\) | 0.724703i | 0.0442683i | ||||||||
\(269\) | 9.15088 | − | 5.28326i | 0.557939 | − | 0.322126i | −0.194379 | − | 0.980927i | \(-0.562269\pi\) |
0.752318 | + | 0.658800i | \(0.228936\pi\) | |||||||
\(270\) | 31.0450 | + | 11.7128i | 1.88934 | + | 0.712818i | ||||
\(271\) | −7.64095 | + | 2.04739i | −0.464155 | + | 0.124370i | −0.483315 | − | 0.875446i | \(-0.660567\pi\) |
0.0191601 | + | 0.999816i | \(0.493901\pi\) | |||||||
\(272\) | 21.5603 | + | 21.5603i | 1.30729 | + | 1.30729i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 48.9787i | 2.95891i | ||||||||
\(275\) | 5.13476 | + | 7.71132i | 0.309638 | + | 0.465010i | ||||
\(276\) | 10.4612 | − | 18.1194i | 0.629693 | − | 1.09066i | ||||
\(277\) | −2.64361 | + | 9.86609i | −0.158839 | + | 0.592796i | 0.839907 | + | 0.542731i | \(0.182610\pi\) |
−0.998746 | + | 0.0500653i | \(0.984057\pi\) | |||||||
\(278\) | −28.9097 | −1.73389 | ||||||||
\(279\) | −0.301178 | + | 1.12401i | −0.0180311 | + | 0.0672929i | ||||
\(280\) | 2.00127 | + | 0.198720i | 0.119598 | + | 0.0118758i | ||||
\(281\) | −12.4763 | − | 12.4763i | −0.744271 | − | 0.744271i | 0.229126 | − | 0.973397i | \(-0.426413\pi\) |
−0.973397 | + | 0.229126i | \(0.926413\pi\) | |||||||
\(282\) | 1.14556 | + | 0.306952i | 0.0682171 | + | 0.0182787i | ||||
\(283\) | 2.13952 | + | 7.98478i | 0.127181 | + | 0.474646i | 0.999908 | − | 0.0135626i | \(-0.00431723\pi\) |
−0.872727 | + | 0.488208i | \(0.837651\pi\) | |||||||
\(284\) | −7.11345 | − | 26.5478i | −0.422105 | − | 1.57532i | ||||
\(285\) | −11.7703 | + | 16.3977i | −0.697210 | + | 0.971318i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.431018 | + | 0.431018i | −0.0254422 | + | 0.0254422i | ||||
\(288\) | −8.95295 | + | 15.5070i | −0.527557 | + | 0.913756i | ||||
\(289\) | 8.26943 | + | 4.77436i | 0.486437 | + | 0.280844i | ||||
\(290\) | −2.72530 | + | 27.4460i | −0.160035 | + | 1.61168i | ||||
\(291\) | 13.7238 | − | 13.7238i | 0.804506 | − | 0.804506i | ||||
\(292\) | 39.4069 | − | 22.7516i | 2.30611 | − | 1.33144i | ||||
\(293\) | −5.52378 | + | 3.18916i | −0.322703 | + | 0.186313i | −0.652597 | − | 0.757705i | \(-0.726320\pi\) |
0.329894 | + | 0.944018i | \(0.392987\pi\) | |||||||
\(294\) | 16.9799 | − | 16.9799i | 0.990287 | − | 0.990287i | ||||
\(295\) | −1.82057 | − | 2.22199i | −0.105998 | − | 0.129369i | ||||
\(296\) | −10.2251 | − | 5.90349i | −0.594325 | − | 0.343133i | ||||
\(297\) | 5.18823 | − | 8.98628i | 0.301052 | − | 0.521437i | ||||
\(298\) | −26.0836 | + | 26.0836i | −1.51098 | + | 1.51098i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 14.4483 | − | 29.1807i | 0.834170 | − | 1.68475i | ||||
\(301\) | 0.113314 | + | 0.422894i | 0.00653132 | + | 0.0243752i | ||||
\(302\) | −8.24001 | − | 30.7521i | −0.474159 | − | 1.76959i | ||||
\(303\) | 10.4113 | + | 2.78970i | 0.598114 | + | 0.160264i | ||||
\(304\) | −54.9729 | − | 54.9729i | −3.15291 | − | 3.15291i | ||||
\(305\) | 0.614902 | − | 6.19255i | 0.0352092 | − | 0.354584i | ||||
\(306\) | 2.46712 | − | 9.20741i | 0.141036 | − | 0.526353i | ||||
\(307\) | 26.5460 | 1.51506 | 0.757530 | − | 0.652801i | \(-0.226406\pi\) | ||||
0.757530 | + | 0.652801i | \(0.226406\pi\) | |||||||
\(308\) | 0.270532 | − | 1.00964i | 0.0154150 | − | 0.0575296i | ||||
\(309\) | 7.08860 | − | 12.2778i | 0.403256 | − | 0.698460i | ||||
\(310\) | 4.89494 | + | 1.84678i | 0.278014 | + | 0.104890i | ||||
\(311\) | − | 3.54417i | − | 0.200972i | −0.994938 | − | 0.100486i | \(-0.967960\pi\) | ||
0.994938 | − | 0.100486i | \(-0.0320397\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.21088 | − | 6.21088i | −0.351060 | − | 0.351060i | 0.509444 | − | 0.860504i | \(-0.329851\pi\) |
−0.860504 | + | 0.509444i | \(0.829851\pi\) | |||||||
\(314\) | 18.6227 | − | 4.98993i | 1.05094 | − | 0.281598i | ||||
\(315\) | −0.136395 | − | 0.301671i | −0.00768500 | − | 0.0169972i | ||||
\(316\) | 65.9619 | − | 38.0831i | 3.71065 | − | 2.14234i | ||||
\(317\) | − | 8.52812i | − | 0.478987i | −0.970898 | − | 0.239494i | \(-0.923019\pi\) | ||
0.970898 | − | 0.239494i | \(-0.0769814\pi\) | |||||||
\(318\) | −8.72748 | − | 15.1164i | −0.489413 | − | 0.847688i | ||||
\(319\) | 8.33129 | + | 2.23236i | 0.466463 | + | 0.124988i | ||||
\(320\) | 24.8178 | + | 17.8142i | 1.38736 | + | 0.995842i | ||||
\(321\) | 4.80142 | + | 8.31631i | 0.267989 | + | 0.464171i | ||||
\(322\) | −0.923827 | + | 0.247539i | −0.0514829 | + | 0.0137948i | ||||
\(323\) | 16.4534 | + | 9.49937i | 0.915491 | + | 0.528559i | ||||
\(324\) | −16.6182 | −0.923233 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −54.3663 | −3.01107 | ||||||||
\(327\) | 5.31409 | + | 3.06809i | 0.293870 | + | 0.169666i | ||||
\(328\) | −41.9540 | + | 11.2415i | −2.31652 | + | 0.620710i | ||||
\(329\) | −0.0193853 | − | 0.0335764i | −0.00106875 | − | 0.00185113i | ||||
\(330\) | −11.5673 | − | 8.30296i | −0.636757 | − | 0.457063i | ||||
\(331\) | 17.3934 | + | 4.66054i | 0.956026 | + | 0.256166i | 0.702917 | − | 0.711271i | \(-0.251880\pi\) |
0.253109 | + | 0.967438i | \(0.418547\pi\) | |||||||
\(332\) | −21.4368 | − | 37.1297i | −1.17650 | − | 2.03776i | ||||
\(333\) | 1.94369i | 0.106513i | ||||||||
\(334\) | 5.83099 | − | 3.36652i | 0.319058 | − | 0.184208i | ||||
\(335\) | −0.132958 | − | 0.294068i | −0.00726426 | − | 0.0160666i | ||||
\(336\) | −1.57215 | + | 0.421256i | −0.0857677 | + | 0.0229814i | ||||
\(337\) | −20.0865 | − | 20.0865i | −1.09418 | − | 1.09418i | −0.995077 | − | 0.0991030i | \(-0.968403\pi\) |
−0.0991030 | − | 0.995077i | \(-0.531597\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.93129i | 0.430769i | ||||||||
\(340\) | −28.6754 | − | 10.8188i | −1.55514 | − | 0.586731i | ||||
\(341\) | 0.818040 | − | 1.41689i | 0.0442994 | − | 0.0767288i | ||||
\(342\) | −6.29048 | + | 23.4764i | −0.340150 | + | 1.26946i | ||||
\(343\) | −1.57145 | −0.0848505 | ||||||||
\(344\) | −8.07428 | + | 30.1336i | −0.435336 | + | 1.62470i | ||||
\(345\) | −0.920654 | + | 9.27172i | −0.0495663 | + | 0.499173i | ||||
\(346\) | 0.147825 | + | 0.147825i | 0.00794710 | + | 0.00794710i | ||||
\(347\) | 6.93201 | + | 1.85743i | 0.372130 | + | 0.0997119i | 0.440037 | − | 0.897980i | \(-0.354965\pi\) |
−0.0679068 | + | 0.997692i | \(0.521632\pi\) | |||||||
\(348\) | −7.84607 | − | 29.2819i | −0.420593 | − | 1.56968i | ||||
\(349\) | 0.945552 | + | 3.52885i | 0.0506143 | + | 0.188895i | 0.986604 | − | 0.163131i | \(-0.0521594\pi\) |
−0.935990 | + | 0.352026i | \(0.885493\pi\) | |||||||
\(350\) | −1.41024 | + | 0.476204i | −0.0753806 | + | 0.0254542i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 17.8016 | − | 17.8016i | 0.948827 | − | 0.948827i | ||||
\(353\) | 0.881628 | − | 1.52702i | 0.0469243 | − | 0.0812753i | −0.841609 | − | 0.540087i | \(-0.818391\pi\) |
0.888534 | + | 0.458812i | \(0.151725\pi\) | |||||||
\(354\) | 3.82343 | + | 2.20746i | 0.203213 | + | 0.117325i | ||||
\(355\) | 7.75707 | + | 9.46741i | 0.411702 | + | 0.502478i | ||||
\(356\) | −2.02070 | + | 2.02070i | −0.107097 | + | 0.107097i | ||||
\(357\) | 0.344462 | − | 0.198875i | 0.0182309 | − | 0.0105256i | ||||
\(358\) | −48.7040 | + | 28.1193i | −2.57409 | + | 1.48615i | ||||
\(359\) | −8.58021 | + | 8.58021i | −0.452846 | + | 0.452846i | −0.896298 | − | 0.443452i | \(-0.853754\pi\) |
0.443452 | + | 0.896298i | \(0.353754\pi\) | |||||||
\(360\) | 2.33103 | − | 23.4753i | 0.122856 | − | 1.23726i | ||||
\(361\) | −25.4972 | − | 14.7208i | −1.34196 | − | 0.774778i | ||||
\(362\) | −29.8451 | + | 51.6933i | −1.56862 | + | 2.71694i | ||||
\(363\) | 6.93947 | − | 6.93947i | 0.364228 | − | 0.364228i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −11.8163 | + | 16.4619i | −0.618493 | + | 0.861654i | ||||
\(366\) | 2.47541 | + | 9.23835i | 0.129392 | + | 0.482896i | ||||
\(367\) | −3.62635 | − | 13.5337i | −0.189294 | − | 0.706454i | −0.993670 | − | 0.112334i | \(-0.964167\pi\) |
0.804377 | − | 0.594120i | \(-0.202499\pi\) | |||||||
\(368\) | −34.6637 | − | 9.28811i | −1.80697 | − | 0.484176i | ||||
\(369\) | 5.05594 | + | 5.05594i | 0.263202 | + | 0.263202i | ||||
\(370\) | 8.69589 | + | 0.863475i | 0.452078 | + | 0.0448900i | ||||
\(371\) | −0.147688 | + | 0.551179i | −0.00766757 | + | 0.0286158i | ||||
\(372\) | −5.75032 | −0.298140 | ||||||||
\(373\) | −7.47789 | + | 27.9078i | −0.387190 | + | 1.44501i | 0.447495 | + | 0.894286i | \(0.352316\pi\) |
−0.834685 | + | 0.550727i | \(0.814350\pi\) | |||||||
\(374\) | −6.70103 | + | 11.6065i | −0.346502 | + | 0.600159i | ||||
\(375\) | −0.509129 | + | 14.4916i | −0.0262913 | + | 0.748344i | ||||
\(376\) | − | 2.76263i | − | 0.142472i | ||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 1.17884 | + | 1.17884i | 0.0606330 | + | 0.0606330i | ||||
\(379\) | 9.15390 | − | 2.45278i | 0.470204 | − | 0.125991i | −0.0159336 | − | 0.999873i | \(-0.505072\pi\) |
0.486138 | + | 0.873882i | \(0.338405\pi\) | |||||||
\(380\) | 73.1144 | + | 27.5849i | 3.75069 | + | 1.41508i | ||||
\(381\) | −13.1058 | + | 7.56661i | −0.671428 | + | 0.387649i | ||||
\(382\) | 51.9525i | 2.65812i | ||||||||
\(383\) | −10.5361 | − | 18.2490i | −0.538369 | − | 0.932483i | −0.998992 | − | 0.0448868i | \(-0.985707\pi\) |
0.460623 | − | 0.887596i | \(-0.347626\pi\) | |||||||
\(384\) | −11.3091 | − | 3.03028i | −0.577118 | − | 0.154638i | ||||
\(385\) | 0.0754581 | + | 0.459322i | 0.00384570 | + | 0.0234092i | ||||
\(386\) | −22.1414 | − | 38.3500i | −1.12697 | − | 1.95196i | ||||
\(387\) | 4.96065 | − | 1.32920i | 0.252164 | − | 0.0675672i | ||||
\(388\) | −65.0727 | − | 37.5698i | −3.30357 | − | 1.90732i | ||||
\(389\) | 0.0604806 | 0.00306649 | 0.00153324 | − | 0.999999i | \(-0.499512\pi\) | ||||
0.00153324 | + | 0.999999i | \(0.499512\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.76984 | 0.443510 | ||||||||
\(392\) | −48.4429 | − | 27.9685i | −2.44673 | − | 1.41262i | ||||
\(393\) | −9.35047 | + | 2.50545i | −0.471669 | + | 0.126383i | ||||
\(394\) | −20.1200 | − | 34.8488i | −1.01363 | − | 1.75566i | ||||
\(395\) | −19.7789 | + | 27.5550i | −0.995186 | + | 1.38644i | ||||
\(396\) | −11.8433 | − | 3.17341i | −0.595150 | − | 0.159470i | ||||
\(397\) | 4.10812 | + | 7.11548i | 0.206181 | + | 0.357116i | 0.950508 | − | 0.310699i | \(-0.100563\pi\) |
−0.744327 | + | 0.667815i | \(0.767230\pi\) | |||||||
\(398\) | 36.9565i | 1.85246i | ||||||||
\(399\) | −0.878284 | + | 0.507077i | −0.0439692 | + | 0.0253856i | ||||
\(400\) | −54.7596 | − | 10.9832i | −2.73798 | − | 0.549161i | ||||
\(401\) | −8.69210 | + | 2.32904i | −0.434063 | + | 0.116307i | −0.469233 | − | 0.883075i | \(-0.655469\pi\) |
0.0351698 | + | 0.999381i | \(0.488803\pi\) | |||||||
\(402\) | 0.350730 | + | 0.350730i | 0.0174928 | + | 0.0174928i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | − | 41.7291i | − | 2.07610i | ||||||
\(405\) | 6.74329 | − | 3.04886i | 0.335077 | − | 0.151499i | ||||
\(406\) | −0.692882 | + | 1.20011i | −0.0343872 | + | 0.0595603i | ||||
\(407\) | 0.707294 | − | 2.63966i | 0.0350593 | − | 0.130843i | ||||
\(408\) | 28.3420 | 1.40314 | ||||||||
\(409\) | 9.27138 | − | 34.6013i | 0.458440 | − | 1.71092i | −0.219332 | − | 0.975650i | \(-0.570388\pi\) |
0.677772 | − | 0.735272i | \(-0.262946\pi\) | |||||||
\(410\) | 24.8659 | − | 20.3738i | 1.22804 | − | 1.00619i | ||||
\(411\) | 16.9518 | + | 16.9518i | 0.836173 | + | 0.836173i | ||||
\(412\) | −53.0166 | − | 14.2058i | −2.61194 | − | 0.699867i | ||||
\(413\) | −0.0373550 | − | 0.139411i | −0.00183812 | − | 0.00685995i | ||||
\(414\) | 2.90369 | + | 10.8367i | 0.142709 | + | 0.532596i | ||||
\(415\) | 15.5106 | + | 11.1335i | 0.761385 | + | 0.546521i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.0058 | + | 10.0058i | −0.489987 | + | 0.489987i | ||||
\(418\) | 17.0858 | − | 29.5934i | 0.835693 | − | 1.44746i | ||||
\(419\) | 11.3282 | + | 6.54037i | 0.553421 | + | 0.319518i | 0.750501 | − | 0.660870i | \(-0.229812\pi\) |
−0.197080 | + | 0.980387i | \(0.563146\pi\) | |||||||
\(420\) | 1.26548 | − | 1.03687i | 0.0617493 | − | 0.0505940i | ||||
\(421\) | 13.7924 | − | 13.7924i | 0.672203 | − | 0.672203i | −0.286021 | − | 0.958223i | \(-0.592333\pi\) |
0.958223 | + | 0.286021i | \(0.0923326\pi\) | |||||||
\(422\) | −54.1978 | + | 31.2911i | −2.63831 | + | 1.52323i | ||||
\(423\) | −0.393860 | + | 0.227395i | −0.0191501 | + | 0.0110563i | ||||
\(424\) | −28.7510 | + | 28.7510i | −1.39627 | + | 1.39627i | ||||
\(425\) | 13.6207 | − | 0.870925i | 0.660701 | − | 0.0422461i | ||||
\(426\) | −16.2908 | − | 9.40550i | −0.789292 | − | 0.455698i | ||||
\(427\) | 0.156333 | − | 0.270777i | 0.00756548 | − | 0.0131038i | ||||
\(428\) | 26.2883 | − | 26.2883i | 1.27069 | − | 1.27069i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.74299 | − | 22.7840i | −0.180503 | − | 1.09874i | ||||
\(431\) | 5.75070 | + | 21.4619i | 0.277002 | + | 1.03378i | 0.954488 | + | 0.298249i | \(0.0964025\pi\) |
−0.677487 | + | 0.735535i | \(0.736931\pi\) | |||||||
\(432\) | 16.1901 | + | 60.4224i | 0.778948 | + | 2.90707i | ||||
\(433\) | −0.177294 | − | 0.0475058i | −0.00852021 | − | 0.00228298i | 0.254556 | − | 0.967058i | \(-0.418071\pi\) |
−0.263077 | + | 0.964775i | \(0.584737\pi\) | |||||||
\(434\) | 0.185871 | + | 0.185871i | 0.00892207 | + | 0.00892207i | ||||
\(435\) | 8.55597 | + | 10.4425i | 0.410228 | + | 0.500678i | ||||
\(436\) | 6.14854 | − | 22.9467i | 0.294462 | − | 1.09895i | ||||
\(437\) | −22.3607 | −1.06966 | ||||||||
\(438\) | 8.06057 | − | 30.0825i | 0.385149 | − | 1.43740i | ||||
\(439\) | −8.64682 | + | 14.9767i | −0.412690 | + | 0.714800i | −0.995183 | − | 0.0980356i | \(-0.968744\pi\) |
0.582493 | + | 0.812836i | \(0.302077\pi\) | |||||||
\(440\) | −11.7082 | + | 31.0328i | −0.558167 | + | 1.47943i | ||||
\(441\) | 9.20846i | 0.438498i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 24.4472 | + | 24.4472i | 1.16152 | + | 1.16152i | 0.984143 | + | 0.177377i | \(0.0567611\pi\) |
0.177377 | + | 0.984143i | \(0.443239\pi\) | |||||||
\(444\) | −9.27758 | + | 2.48592i | −0.440295 | + | 0.117977i | ||||
\(445\) | 0.449226 | − | 1.19068i | 0.0212954 | − | 0.0564438i | ||||
\(446\) | −22.3197 | + | 12.8863i | −1.05687 | + | 0.610183i | ||||
\(447\) | 18.0554i | 0.853989i | ||||||||
\(448\) | 0.767456 | + | 1.32927i | 0.0362589 | + | 0.0628022i | ||||
\(449\) | 35.9175 | + | 9.62407i | 1.69505 | + | 0.454188i | 0.971686 | − | 0.236277i | \(-0.0759273\pi\) |
0.723366 | + | 0.690465i | \(0.242594\pi\) | |||||||
\(450\) | 5.58600 | + | 16.5425i | 0.263326 | + | 0.779820i | ||||
\(451\) | −5.02649 | − | 8.70613i | −0.236688 | − | 0.409956i | ||||
\(452\) | 29.6596 | − | 7.94727i | 1.39507 | − | 0.373808i | ||||
\(453\) | −13.4954 | − | 7.79158i | −0.634070 | − | 0.366080i | ||||
\(454\) | −24.3136 | −1.14109 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −72.2643 | −3.38409 | ||||||||
\(457\) | −8.16394 | − | 4.71345i | −0.381893 | − | 0.220486i | 0.296749 | − | 0.954956i | \(-0.404098\pi\) |
−0.678642 | + | 0.734470i | \(0.737431\pi\) | |||||||
\(458\) | 45.3433 | − | 12.1497i | 2.11875 | − | 0.567718i | ||||
\(459\) | −7.64337 | − | 13.2387i | −0.356762 | − | 0.617930i | ||||
\(460\) | 35.5947 | − | 5.84755i | 1.65961 | − | 0.272643i | ||||
\(461\) | −31.7653 | − | 8.51149i | −1.47946 | − | 0.396419i | −0.573295 | − | 0.819349i | \(-0.694335\pi\) |
−0.906162 | + | 0.422930i | \(0.861002\pi\) | |||||||
\(462\) | −0.357701 | − | 0.619557i | −0.0166418 | − | 0.0288244i | ||||
\(463\) | − | 18.6729i | − | 0.867805i | −0.900960 | − | 0.433903i | \(-0.857136\pi\) | ||
0.900960 | − | 0.433903i | \(-0.142864\pi\) | |||||||
\(464\) | −45.0302 | + | 25.9982i | −2.09047 | + | 1.20694i | ||||
\(465\) | 2.33335 | − | 1.05498i | 0.108206 | − | 0.0489237i | ||||
\(466\) | 42.9421 | − | 11.5063i | 1.98925 | − | 0.533019i | ||||
\(467\) | −12.1678 | − | 12.1678i | −0.563057 | − | 0.563057i | 0.367118 | − | 0.930175i | \(-0.380345\pi\) |
−0.930175 | + | 0.367118i | \(0.880345\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 0.0162150i | − | 0.000748740i | ||||||
\(470\) | 0.842375 | + | 1.86311i | 0.0388559 | + | 0.0859390i | ||||
\(471\) | 4.71838 | − | 8.17247i | 0.217411 | − | 0.376568i | ||||
\(472\) | 2.66176 | − | 9.93381i | 0.122517 | − | 0.457241i | ||||
\(473\) | −7.22059 | −0.332003 | ||||||||
\(474\) | 13.4923 | − | 50.3541i | 0.619723 | − | 2.31284i | ||||
\(475\) | −34.7291 | + | 2.22062i | −1.59348 | + | 0.101889i | ||||
\(476\) | −1.08886 | − | 1.08886i | −0.0499080 | − | 0.0499080i | ||||
\(477\) | 6.46546 | + | 1.73242i | 0.296033 | + | 0.0793219i | ||||
\(478\) | −17.6674 | − | 65.9355i | −0.808087 | − | 3.01582i | ||||
\(479\) | −8.53158 | − | 31.8403i | −0.389818 | − | 1.45482i | −0.830430 | − | 0.557123i | \(-0.811905\pi\) |
0.440612 | − | 0.897697i | \(-0.354761\pi\) | |||||||
\(480\) | 38.8826 | − | 6.38768i | 1.77474 | − | 0.291557i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 10.2497 | − | 10.2497i | 0.466862 | − | 0.466862i | ||||
\(483\) | −0.234068 | + | 0.405417i | −0.0106504 | + | 0.0184471i | ||||
\(484\) | −32.9041 | − | 18.9972i | −1.49564 | − | 0.863508i | ||||
\(485\) | 33.2978 | + | 3.30637i | 1.51197 | + | 0.150134i | ||||
\(486\) | 23.4357 | − | 23.4357i | 1.06306 | − | 1.06306i | ||||
\(487\) | 28.5670 | − | 16.4931i | 1.29449 | − | 0.747376i | 0.315045 | − | 0.949077i | \(-0.397980\pi\) |
0.979447 | + | 0.201701i | \(0.0646469\pi\) | |||||||
\(488\) | 19.2944 | − | 11.1396i | 0.873415 | − | 0.504267i | ||||
\(489\) | −18.8165 | + | 18.8165i | −0.850911 | + | 0.850911i | ||||
\(490\) | 41.1978 | + | 4.09082i | 1.86113 | + | 0.184804i | ||||
\(491\) | 18.4427 | + | 10.6479i | 0.832307 | + | 0.480533i | 0.854642 | − | 0.519218i | \(-0.173777\pi\) |
−0.0223350 | + | 0.999751i | \(0.507110\pi\) | |||||||
\(492\) | −17.6666 | + | 30.5994i | −0.796470 | + | 1.37953i | ||||
\(493\) | 8.98502 | − | 8.98502i | 0.404665 | − | 0.404665i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 5.38797 | − | 0.885142i | 0.242171 | − | 0.0397842i | ||||
\(496\) | 2.55273 | + | 9.52693i | 0.114621 | + | 0.427772i | ||||
\(497\) | 0.159161 | + | 0.593999i | 0.00713937 | + | 0.0266445i | ||||
\(498\) | −28.3441 | − | 7.59477i | −1.27013 | − | 0.340330i | ||||
\(499\) | 14.9199 | + | 14.9199i | 0.667904 | + | 0.667904i | 0.957231 | − | 0.289326i | \(-0.0934312\pi\) |
−0.289326 | + | 0.957231i | \(0.593431\pi\) | |||||||
\(500\) | 54.7025 | − | 12.6169i | 2.44637 | − | 0.564244i | ||||
\(501\) | 0.852967 | − | 3.18332i | 0.0381077 | − | 0.142220i | ||||
\(502\) | 34.6261 | 1.54544 | ||||||||
\(503\) | 11.3059 | − | 42.1943i | 0.504106 | − | 1.88135i | 0.0326345 | − | 0.999467i | \(-0.489610\pi\) |
0.471471 | − | 0.881881i | \(-0.343723\pi\) | |||||||
\(504\) | 0.592643 | − | 1.02649i | 0.0263984 | − | 0.0457234i | ||||
\(505\) | 7.65584 | + | 16.9327i | 0.340680 | + | 0.753496i | ||||
\(506\) | − | 15.7736i | − | 0.701224i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 41.4280 | + | 41.4280i | 1.83807 | + | 1.83807i | ||||
\(509\) | −36.0898 | + | 9.67023i | −1.59965 | + | 0.428626i | −0.944938 | − | 0.327250i | \(-0.893878\pi\) |
−0.654715 | + | 0.755876i | \(0.727211\pi\) | |||||||
\(510\) | −19.1138 | + | 8.64196i | −0.846372 | + | 0.382673i | ||||
\(511\) | −0.881719 | + | 0.509060i | −0.0390049 | + | 0.0225195i | ||||
\(512\) | − | 27.0748i | − | 1.19655i | ||||||
\(513\) | 19.4885 | + | 33.7551i | 0.860438 | + | 1.49032i | ||||
\(514\) | 44.6591 | + | 11.9664i | 1.96983 | + | 0.527814i | ||||
\(515\) | 24.1192 | − | 3.96233i | 1.06282 | − | 0.174601i | ||||
\(516\) | 12.6891 | + | 21.9781i | 0.558605 | + | 0.967533i | ||||
\(517\) | 0.617635 | − | 0.165495i | 0.0271636 | − | 0.00727846i | ||||
\(518\) | 0.380238 | + | 0.219530i | 0.0167067 | + | 0.00964562i | ||||
\(519\) | 0.102326 | 0.00449161 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −35.6853 | −1.56340 | −0.781701 | − | 0.623653i | \(-0.785648\pi\) | ||||
−0.781701 | + | 0.623653i | \(0.785648\pi\) | |||||||
\(522\) | 14.0776 | + | 8.12768i | 0.616158 | + | 0.355739i | ||||
\(523\) | 4.16849 | − | 1.11694i | 0.182275 | − | 0.0488406i | −0.166527 | − | 0.986037i | \(-0.553255\pi\) |
0.348802 | + | 0.937196i | \(0.386589\pi\) | |||||||
\(524\) | 18.7386 | + | 32.4562i | 0.818600 | + | 1.41786i | ||||
\(525\) | −0.323276 | + | 0.652910i | −0.0141089 | + | 0.0284953i | ||||
\(526\) | 53.3604 | + | 14.2979i | 2.32662 | + | 0.623417i | ||||
\(527\) | −1.20515 | − | 2.08738i | −0.0524971 | − | 0.0909276i | ||||
\(528\) | − | 26.8432i | − | 1.16820i | ||||||
\(529\) | 10.9797 | − | 6.33914i | 0.477379 | − | 0.275615i | ||||
\(530\) | 10.6229 | − | 28.1563i | 0.461431 | − | 1.22303i | ||||
\(531\) | −1.63532 | + | 0.438183i | −0.0709670 | + | 0.0190155i | ||||
\(532\) | 2.77630 | + | 2.77630i | 0.120368 | + | 0.120368i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 1.95589i | 0.0846398i | ||||||||
\(535\) | −5.84421 | + | 15.4902i | −0.252667 | + | 0.669699i | ||||
\(536\) | 0.577707 | − | 1.00062i | 0.0249531 | − | 0.0432201i | ||||
\(537\) | −7.12450 | + | 26.5890i | −0.307445 | + | 1.14740i | ||||
\(538\) | −27.9987 | −1.20711 | ||||||||
\(539\) | 3.35089 | − | 12.5057i | 0.144333 | − | 0.538659i | ||||
\(540\) | −39.8500 | − | 48.6364i | −1.71487 | − | 2.09298i | ||||
\(541\) | 5.42748 | + | 5.42748i | 0.233345 | + | 0.233345i | 0.814088 | − | 0.580742i | \(-0.197238\pi\) |
−0.580742 | + | 0.814088i | \(0.697238\pi\) | |||||||
\(542\) | 20.2467 | + | 5.42507i | 0.869668 | + | 0.233027i | ||||
\(543\) | 7.56177 | + | 28.2209i | 0.324507 | + | 1.21108i | ||||
\(544\) | −9.59920 | − | 35.8247i | −0.411563 | − | 1.53597i | ||||
\(545\) | 1.71498 | + | 10.4393i | 0.0734616 | + | 0.447170i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.6940 | − | 11.6940i | 0.500000 | − | 0.500000i | −0.411438 | − | 0.911438i | \(-0.634973\pi\) |
0.911438 | + | 0.411438i | \(0.134973\pi\) | |||||||
\(548\) | 46.4066 | − | 80.3785i | 1.98239 | − | 3.43360i | ||||
\(549\) | −3.17628 | − | 1.83382i | −0.135560 | − | 0.0782657i | ||||
\(550\) | −1.56647 | − | 24.4985i | −0.0667943 | − | 1.04462i | ||||
\(551\) | −22.9093 | + | 22.9093i | −0.975971 | + | 0.975971i | ||||
\(552\) | −28.8883 | + | 16.6786i | −1.22957 | + | 0.709890i | ||||
\(553\) | −1.47588 | + | 0.852100i | −0.0627608 | + | 0.0362350i | ||||
\(554\) | 19.1378 | − | 19.1378i | 0.813087 | − | 0.813087i | ||||
\(555\) | 3.30855 | − | 2.71085i | 0.140440 | − | 0.115069i | ||||
\(556\) | 47.4434 | + | 27.3915i | 2.01205 | + | 1.16166i | ||||
\(557\) | −2.43751 | + | 4.22190i | −0.103281 | + | 0.178888i | −0.913034 | − | 0.407882i | \(-0.866267\pi\) |
0.809754 | + | 0.586770i | \(0.199601\pi\) | |||||||
\(558\) | 2.18031 | − | 2.18031i | 0.0922998 | − | 0.0922998i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −2.27963 | − | 1.63632i | −0.0963321 | − | 0.0691470i | ||||
\(561\) | 1.69782 | + | 6.33635i | 0.0716820 | + | 0.267521i | ||||
\(562\) | 12.1004 | + | 45.1595i | 0.510426 | + | 1.90494i | ||||
\(563\) | 37.6390 | + | 10.0853i | 1.58630 | + | 0.425047i | 0.940868 | − | 0.338774i | \(-0.110012\pi\) |
0.645428 | + | 0.763821i | \(0.276679\pi\) | |||||||
\(564\) | −1.58913 | − | 1.58913i | −0.0669146 | − | 0.0669146i | ||||
\(565\) | −10.5772 | + | 8.66633i | −0.444984 | + | 0.364595i | ||||
\(566\) | 5.66919 | − | 21.1577i | 0.238294 | − | 0.889325i | ||||
\(567\) | 0.371828 | 0.0156153 | ||||||||
\(568\) | −11.3412 | + | 42.3258i | −0.475865 | + | 1.77595i | ||||
\(569\) | 1.84104 | − | 3.18877i | 0.0771804 | − | 0.133680i | −0.824852 | − | 0.565349i | \(-0.808742\pi\) |
0.902032 | + | 0.431668i | \(0.142075\pi\) | |||||||
\(570\) | 48.7349 | − | 22.0346i | 2.04128 | − | 0.922929i | ||||
\(571\) | − | 2.96698i | − | 0.124164i | −0.998071 | − | 0.0620821i | \(-0.980226\pi\) | ||
0.998071 | − | 0.0620821i | \(-0.0197741\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 17.9811 | + | 17.9811i | 0.751170 | + | 0.751170i | ||||
\(574\) | 1.56012 | − | 0.418034i | 0.0651184 | − | 0.0174484i | ||||
\(575\) | −13.3707 | + | 8.90320i | −0.557598 | + | 0.371289i | ||||
\(576\) | 15.5927 | − | 9.00245i | 0.649696 | − | 0.375102i | ||||
\(577\) | − | 35.0533i | − | 1.45929i | −0.683827 | − | 0.729644i | \(-0.739686\pi\) | ||
0.683827 | − | 0.729644i | \(-0.260314\pi\) | |||||||
\(578\) | −12.6509 | − | 21.9120i | −0.526207 | − | 0.911417i | ||||
\(579\) | −20.9364 | − | 5.60990i | −0.870088 | − | 0.233139i | ||||
\(580\) | 30.4771 | − | 42.4591i | 1.26549 | − | 1.76302i | ||||
\(581\) | 0.479643 | + | 0.830767i | 0.0198990 | + | 0.0344660i | ||||
\(582\) | −49.6753 | + | 13.3104i | −2.05911 | + | 0.551736i | ||||
\(583\) | −8.15012 | − | 4.70547i | −0.337543 | − | 0.194881i | ||||
\(584\) | −72.5469 | −3.00201 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.9010 | 0.698173 | ||||||||
\(587\) | −6.10926 | − | 3.52719i | −0.252156 | − | 0.145583i | 0.368595 | − | 0.929590i | \(-0.379839\pi\) |
−0.620751 | + | 0.784008i | \(0.713172\pi\) | |||||||
\(588\) | −43.9537 | + | 11.7774i | −1.81262 | + | 0.485690i | ||||
\(589\) | 3.07280 | + | 5.32224i | 0.126612 | + | 0.219299i | ||||
\(590\) | 1.23391 | + | 7.51095i | 0.0507992 | + | 0.309221i | ||||
\(591\) | −19.0250 | − | 5.09774i | −0.782585 | − | 0.209693i | ||||
\(592\) | 8.23718 | + | 14.2672i | 0.338546 | + | 0.586379i | ||||
\(593\) | − | 40.0169i | − | 1.64330i | −0.569993 | − | 0.821649i | \(-0.693054\pi\) | ||
0.569993 | − | 0.821649i | \(-0.306946\pi\) | |||||||
\(594\) | −23.8114 | + | 13.7475i | −0.976995 | + | 0.564068i | ||||
\(595\) | 0.641605 | + | 0.242067i | 0.0263032 | + | 0.00992380i | ||||
\(596\) | 67.5192 | − | 18.0917i | 2.76570 | − | 0.741066i | ||||
\(597\) | 12.7909 | + | 12.7909i | 0.523495 | + | 0.523495i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 13.9207i | − | 0.568784i | −0.958708 | − | 0.284392i | \(-0.908208\pi\) | ||
0.958708 | − | 0.284392i | \(-0.0917918\pi\) | |||||||
\(600\) | −43.2109 | + | 28.7730i | −1.76408 | + | 1.17465i | ||||
\(601\) | 1.15689 | − | 2.00379i | 0.0471906 | − | 0.0817365i | −0.841465 | − | 0.540311i | \(-0.818307\pi\) |
0.888656 | + | 0.458575i | \(0.151640\pi\) | |||||||
\(602\) | 0.300255 | − | 1.12057i | 0.0122375 | − | 0.0456708i | ||||
\(603\) | −0.190206 | −0.00774580 | ||||||||
\(604\) | −15.6145 | + | 58.2743i | −0.635347 | + | 2.37115i | ||||
\(605\) | 16.8371 | + | 1.67187i | 0.684524 | + | 0.0679711i | ||||
\(606\) | −20.1954 | − | 20.1954i | −0.820381 | − | 0.820381i | ||||
\(607\) | −22.7965 | − | 6.10830i | −0.925282 | − | 0.247928i | −0.235440 | − | 0.971889i | \(-0.575653\pi\) |
−0.689842 | + | 0.723960i | \(0.742320\pi\) | |||||||
\(608\) | 24.4753 | + | 91.3432i | 0.992606 | + | 3.70446i | ||||
\(609\) | 0.175554 | + | 0.655175i | 0.00711379 | + | 0.0265490i | ||||
\(610\) | −9.61542 | + | 13.3957i | −0.389317 | + | 0.542377i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −12.7726 | + | 12.7726i | −0.516303 | + | 0.516303i | ||||
\(613\) | −5.32964 | + | 9.23121i | −0.215262 | + | 0.372845i | −0.953354 | − | 0.301856i | \(-0.902394\pi\) |
0.738091 | + | 0.674701i | \(0.235727\pi\) | |||||||
\(614\) | −60.9165 | − | 35.1702i | −2.45839 | − | 1.41935i | ||||
\(615\) | 1.55477 | − | 15.6577i | 0.0626942 | − | 0.631381i | ||||
\(616\) | −1.17838 | + | 1.17838i | −0.0474783 | + | 0.0474783i | ||||
\(617\) | −11.8892 | + | 6.86421i | −0.478639 | + | 0.276343i | −0.719849 | − | 0.694130i | \(-0.755789\pi\) |
0.241210 | + | 0.970473i | \(0.422456\pi\) | |||||||
\(618\) | −32.5332 | + | 18.7830i | −1.30868 | + | 0.755565i | ||||
\(619\) | −16.8604 | + | 16.8604i | −0.677679 | + | 0.677679i | −0.959474 | − | 0.281796i | \(-0.909070\pi\) |
0.281796 | + | 0.959474i | \(0.409070\pi\) | |||||||
\(620\) | −6.28323 | − | 7.66861i | −0.252341 | − | 0.307979i | ||||
\(621\) | 15.5814 | + | 8.99592i | 0.625260 | + | 0.360994i | ||||
\(622\) | −4.69560 | + | 8.13301i | −0.188276 | + | 0.326104i | ||||
\(623\) | 0.0452127 | − | 0.0452127i | 0.00181141 | − | 0.00181141i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.8823 | + | 15.1557i | −0.795292 | + | 0.606227i | ||||
\(626\) | 6.02379 | + | 22.4811i | 0.240759 | + | 0.898526i | ||||
\(627\) | −4.32898 | − | 16.1560i | −0.172883 | − | 0.645207i | ||||
\(628\) | −35.2894 | − | 9.45576i | −1.40820 | − | 0.377326i | ||||
\(629\) | −2.84678 | − | 2.84678i | −0.113509 | − | 0.113509i | ||||
\(630\) | −0.0866830 | + | 0.872967i | −0.00345353 | + | 0.0347798i | ||||
\(631\) | 7.91879 | − | 29.5533i | 0.315242 | − | 1.17650i | −0.608522 | − | 0.793537i | \(-0.708237\pi\) |
0.923764 | − | 0.382962i | \(-0.125096\pi\) | |||||||
\(632\) | −121.434 | −4.83038 | ||||||||
\(633\) | −7.92814 | + | 29.5882i | −0.315115 | + | 1.17603i | ||||
\(634\) | −11.2987 | + | 19.5700i | −0.448729 | + | 0.777222i | ||||
\(635\) | −24.4112 | − | 9.20995i | −0.968727 | − | 0.365486i | ||||
\(636\) | 33.0766i | 1.31157i | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −16.1607 | − | 16.1607i | −0.639807 | − | 0.639807i | ||||
\(639\) | 6.96776 | − | 1.86700i | 0.275640 | − | 0.0738576i | ||||
\(640\) | −8.31606 | − | 18.3930i | −0.328721 | − | 0.727046i | ||||
\(641\) | 13.2495 | − | 7.64957i | 0.523322 | − | 0.302140i | −0.214971 | − | 0.976620i | \(-0.568966\pi\) |
0.738293 | + | 0.674480i | \(0.235632\pi\) | |||||||
\(642\) | − | 25.4452i | − | 1.00424i | ||||||
\(643\) | 11.1740 | + | 19.3539i | 0.440660 | + | 0.763245i | 0.997739 | − | 0.0672147i | \(-0.0214113\pi\) |
−0.557079 | + | 0.830460i | \(0.688078\pi\) | |||||||
\(644\) | 1.75062 | + | 0.469078i | 0.0689842 | + | 0.0184843i | ||||
\(645\) | −9.18116 | − | 6.59022i | −0.361508 | − | 0.259490i | ||||
\(646\) | −25.1710 | − | 43.5974i | −0.990340 | − | 1.71532i | ||||
\(647\) | −4.51668 | + | 1.21024i | −0.177569 | + | 0.0475795i | −0.346508 | − | 0.938047i | \(-0.612633\pi\) |
0.168939 | + | 0.985627i | \(0.445966\pi\) | |||||||
\(648\) | 22.9452 | + | 13.2474i | 0.901373 | + | 0.520408i | ||||
\(649\) | 2.38033 | 0.0934361 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.128662 | 0.00504265 | ||||||||
\(652\) | 89.2199 | + | 51.5111i | 3.49412 | + | 2.01733i | ||||
\(653\) | −23.6714 | + | 6.34274i | −0.926335 | + | 0.248211i | −0.690291 | − | 0.723532i | \(-0.742518\pi\) |
−0.236044 | + | 0.971742i | \(0.575851\pi\) | |||||||
\(654\) | −8.12969 | − | 14.0810i | −0.317896 | − | 0.550612i | ||||
\(655\) | −13.5583 | − | 9.73212i | −0.529766 | − | 0.380265i | ||||
\(656\) | 58.5387 | + | 15.6854i | 2.28555 | + | 0.612412i | ||||
\(657\) | 5.97141 | + | 10.3428i | 0.232967 | + | 0.403510i | ||||
\(658\) | 0.102733i | 0.00400494i | ||||||||
\(659\) | −35.2803 | + | 20.3691i | −1.37433 | + | 0.793467i | −0.991469 | − | 0.130341i | \(-0.958393\pi\) |
−0.382856 | + | 0.923808i | \(0.625059\pi\) | |||||||
\(660\) | 11.1160 | + | 24.5857i | 0.432690 | + | 0.956997i | ||||
\(661\) | 16.5152 | − | 4.42523i | 0.642367 | − | 0.172122i | 0.0770916 | − | 0.997024i | \(-0.475437\pi\) |
0.565275 | + | 0.824902i | \(0.308770\pi\) | |||||||
\(662\) | −33.7389 | − | 33.7389i | −1.31130 | − | 1.31130i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 68.3547i | 2.65268i | ||||||||
\(665\) | −1.63592 | − | 0.617206i | −0.0634381 | − | 0.0239342i | ||||
\(666\) | 2.57515 | − | 4.46029i | 0.0997850 | − | 0.172833i | ||||
\(667\) | −3.87071 | + | 14.4457i | −0.149875 | + | 0.559340i | ||||
\(668\) | −12.7589 | −0.493657 | ||||||||
\(669\) | −3.26496 | + | 12.1850i | −0.126231 | + | 0.471099i | ||||
\(670\) | −0.0844984 | + | 0.850967i | −0.00326446 | + | 0.0328757i | ||||
\(671\) | 3.64628 | + | 3.64628i | 0.140763 | + | 0.140763i | ||||
\(672\) | 1.91233 | + | 0.512407i | 0.0737696 | + | 0.0197665i | ||||
\(673\) | 6.16392 | + | 23.0041i | 0.237602 | + | 0.886742i | 0.976959 | + | 0.213428i | \(0.0684630\pi\) |
−0.739357 | + | 0.673314i | \(0.764870\pi\) | |||||||
\(674\) | 19.4814 | + | 72.7057i | 0.750396 | + | 2.80052i | ||||
\(675\) | 25.0933 | + | 12.4245i | 0.965842 | + | 0.478218i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 26.1344 | − | 26.1344i | 1.00443 | − | 1.00443i | 0.00443504 | − | 0.999990i | \(-0.498588\pi\) |
0.999990 | − | 0.00443504i | \(-0.00141172\pi\) | |||||||
\(678\) | 10.5080 | − | 18.2004i | 0.403557 | − | 0.698981i | ||||
\(679\) | 1.45598 | + | 0.840613i | 0.0558756 | + | 0.0322598i | ||||
\(680\) | 30.9686 | + | 37.7968i | 1.18759 | + | 1.44944i | ||||
\(681\) | −8.41509 | + | 8.41509i | −0.322467 | + | 0.322467i | ||||
\(682\) | −3.75440 | + | 2.16761i | −0.143764 | + | 0.0830019i | ||||
\(683\) | −23.1988 | + | 13.3938i | −0.887676 | + | 0.512500i | −0.873181 | − | 0.487395i | \(-0.837947\pi\) |
−0.0144941 | + | 0.999895i | \(0.504614\pi\) | |||||||
\(684\) | 32.5667 | − | 32.5667i | 1.24522 | − | 1.24522i | ||||
\(685\) | −4.08406 | + | 41.1298i | −0.156044 | + | 1.57149i | ||||
\(686\) | 3.60610 | + | 2.08198i | 0.137682 | + | 0.0794905i | ||||
\(687\) | 11.4885 | − | 19.8987i | 0.438314 | − | 0.759182i | ||||
\(688\) | 30.7796 | − | 30.7796i | 1.17346 | − | 1.17346i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 14.3966 | − | 20.0566i | 0.548068 | − | 0.763541i | ||||
\(691\) | −10.4473 | − | 38.9899i | −0.397435 | − | 1.48325i | −0.817593 | − | 0.575796i | \(-0.804692\pi\) |
0.420158 | − | 0.907451i | \(-0.361975\pi\) | |||||||
\(692\) | −0.102532 | − | 0.382655i | −0.00389769 | − | 0.0145464i | ||||
\(693\) | 0.264991 | + | 0.0710042i | 0.0100662 | + | 0.00269723i | ||||
\(694\) | −13.4464 | − | 13.4464i | −0.510419 | − | 0.510419i | ||||
\(695\) | −24.2768 | − | 2.41062i | −0.920873 | − | 0.0914399i | ||||
\(696\) | −12.5092 | + | 46.6850i | −0.474160 | + | 1.76959i | ||||
\(697\) | −14.8102 | −0.560976 | ||||||||
\(698\) | 2.50548 | − | 9.35058i | 0.0948339 | − | 0.353925i | ||||
\(699\) | 10.8801 | − | 18.8449i | 0.411524 | − | 0.712780i | ||||
\(700\) | 2.76553 | + | 0.554686i | 0.104527 | + | 0.0209652i | ||||
\(701\) | − | 24.9781i | − | 0.943410i | −0.881756 | − | 0.471705i | \(-0.843639\pi\) | ||
0.881756 | − | 0.471705i | \(-0.156361\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.25852 | + | 7.25852i | 0.273760 | + | 0.273760i | ||||
\(704\) | −24.4519 | + | 6.55185i | −0.921564 | + | 0.246932i | ||||
\(705\) | 0.936386 | + | 0.353284i | 0.0352663 | + | 0.0133054i | ||||
\(706\) | −4.04624 | + | 2.33610i | −0.152282 | + | 0.0879202i | ||||
\(707\) | 0.933677i | 0.0351145i | ||||||||
\(708\) | −4.18306 | − | 7.24528i | −0.157209 | − | 0.272294i | ||||
\(709\) | −9.85779 | − | 2.64139i | −0.370217 | − | 0.0991993i | 0.0689135 | − | 0.997623i | \(-0.478047\pi\) |
−0.439130 | + | 0.898423i | \(0.644713\pi\) | |||||||
\(710\) | −5.25742 | − | 32.0025i | −0.197307 | − | 1.20103i | ||||
\(711\) | 9.99535 | + | 17.3124i | 0.374855 | + | 0.649268i | ||||
\(712\) | 4.40087 | − | 1.17921i | 0.164930 | − | 0.0441927i | ||||
\(713\) | 2.45675 | + | 1.41841i | 0.0920061 | + | 0.0531198i | ||||
\(714\) | −1.05394 | −0.0394428 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 106.570 | 3.98272 | ||||||||
\(717\) | −28.9355 | − | 16.7059i | −1.08061 | − | 0.623893i | ||||
\(718\) | 31.0572 | − | 8.32175i | 1.15904 | − | 0.310565i | ||||
\(719\) | −14.2117 | − | 24.6153i | −0.530005 | − | 0.917996i | −0.999387 | − | 0.0350008i | \(-0.988857\pi\) |
0.469382 | − | 0.882995i | \(-0.344477\pi\) | |||||||
\(720\) | −19.1944 | + | 26.7407i | −0.715333 | + | 0.996566i | ||||
\(721\) | 1.18623 | + | 0.317850i | 0.0441776 | + | 0.0118373i | ||||
\(722\) | 39.0065 | + | 67.5612i | 1.45167 | + | 2.51437i | ||||
\(723\) | − | 7.09498i | − | 0.263865i | ||||||
\(724\) | 97.9570 | − | 56.5555i | 3.64054 | − | 2.10187i | ||||
\(725\) | −4.57713 | + | 22.8204i | −0.169990 | + | 0.847530i | ||||
\(726\) | −25.1183 | + | 6.73044i | −0.932229 | + | 0.249790i | ||||
\(727\) | −8.56116 | − | 8.56116i | −0.317516 | − | 0.317516i | 0.530296 | − | 0.847812i | \(-0.322081\pi\) |
−0.847812 | + | 0.530296i | \(0.822081\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 26.1513i | − | 0.968566i | ||||||
\(730\) | 48.9255 | − | 22.1208i | 1.81081 | − | 0.818728i | ||||
\(731\) | −5.31873 | + | 9.21232i | −0.196720 | + | 0.340730i | ||||
\(732\) | 4.69082 | − | 17.5064i | 0.173378 | − | 0.647054i | ||||
\(733\) | 17.2200 | 0.636036 | 0.318018 | − | 0.948085i | \(-0.396983\pi\) | ||||
0.318018 | + | 0.948085i | \(0.396983\pi\) | |||||||
\(734\) | −9.60893 | + | 35.8610i | −0.354672 | + | 1.32365i | ||||
\(735\) | 15.6747 | − | 12.8430i | 0.578169 | − | 0.473720i | ||||
\(736\) | 30.8663 | + | 30.8663i | 1.13775 | + | 1.13775i | ||||
\(737\) | 0.258313 | + | 0.0692148i | 0.00951508 | + | 0.00254956i | ||||
\(738\) | −4.90365 | − | 18.3007i | −0.180506 | − | 0.673656i | ||||
\(739\) | −4.22013 | − | 15.7497i | −0.155240 | − | 0.579364i | −0.999085 | − | 0.0427762i | \(-0.986380\pi\) |
0.843845 | − | 0.536588i | \(-0.180287\pi\) | |||||||
\(740\) | −13.4526 | − | 9.65626i | −0.494528 | − | 0.354971i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.06915 | − | 1.06915i | 0.0392498 | − | 0.0392498i | ||||
\(743\) | −16.5599 | + | 28.6826i | −0.607525 | + | 1.05226i | 0.384122 | + | 0.923282i | \(0.374504\pi\) |
−0.991647 | + | 0.128982i | \(0.958829\pi\) | |||||||
\(744\) | 7.93963 | + | 4.58395i | 0.291081 | + | 0.168056i | ||||
\(745\) | −24.0786 | + | 19.7287i | −0.882171 | + | 0.722802i | ||||
\(746\) | 54.1344 | − | 54.1344i | 1.98200 | − | 1.98200i | ||||
\(747\) | 9.74510 | − | 5.62634i | 0.356555 | − | 0.205857i | ||||
\(748\) | 21.9940 | − | 12.6982i | 0.804179 | − | 0.464293i | ||||
\(749\) | −0.588194 | + | 0.588194i | −0.0214921 | + | 0.0214921i | ||||
\(750\) | 20.3679 | − | 32.5802i | 0.743732 | − | 1.18966i | ||||
\(751\) | −18.9961 | − | 10.9674i | −0.693176 | − | 0.400205i | 0.111625 | − | 0.993750i | \(-0.464395\pi\) |
−0.804801 | + | 0.593545i | \(0.797728\pi\) | |||||||
\(752\) | −1.92736 | + | 3.33829i | −0.0702836 | + | 0.121735i | ||||
\(753\) | 11.9843 | − | 11.9843i | 0.436732 | − | 0.436732i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −4.35528 | − | 26.5111i | −0.158505 | − | 0.964838i | ||||
\(756\) | −0.817652 | − | 3.05152i | −0.0297377 | − | 0.110983i | ||||
\(757\) | 0.762791 | + | 2.84678i | 0.0277241 | + | 0.103468i | 0.978401 | − | 0.206714i | \(-0.0662768\pi\) |
−0.950677 | + | 0.310181i | \(0.899610\pi\) | |||||||
\(758\) | −24.2556 | − | 6.49926i | −0.881002 | − | 0.236064i | ||||
\(759\) | −5.45935 | − | 5.45935i | −0.198162 | − | 0.198162i | ||||
\(760\) | −78.9615 | − | 96.3715i | −2.86423 | − | 3.49576i | ||||
\(761\) | −5.70396 | + | 21.2875i | −0.206768 | + | 0.771670i | 0.782135 | + | 0.623109i | \(0.214131\pi\) |
−0.988903 | + | 0.148561i | \(0.952536\pi\) | |||||||
\(762\) | 40.0993 | 1.45265 | ||||||||
\(763\) | −0.137572 | + | 0.513426i | −0.00498044 | + | 0.0185873i | ||||
\(764\) | 49.2241 | − | 85.2587i | 1.78087 | − | 3.08455i | ||||
\(765\) | 2.83951 | − | 7.52619i | 0.102663 | − | 0.272110i | ||||
\(766\) | 55.8361i | 2.01744i | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −3.12197 | − | 3.12197i | −0.112654 | − | 0.112654i |