Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(41,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.z (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.86849940730\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 41.12 | ||
Character | \(\chi\) | \(=\) | 234.41 |
Dual form | 234.2.z.a.137.12 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 0.161445 | + | 1.72451i | 0.0932102 | + | 0.995646i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −2.21510 | + | 0.593533i | −0.990622 | + | 0.265436i | −0.717512 | − | 0.696547i | \(-0.754719\pi\) |
−0.273110 | + | 0.961983i | \(0.588052\pi\) | |||||||
\(6\) | 0.602280 | + | 1.62396i | 0.245880 | + | 0.662981i | ||||
\(7\) | 2.94637 | + | 2.94637i | 1.11362 | + | 1.11362i | 0.992657 | + | 0.120965i | \(0.0385989\pi\) |
0.120965 | + | 0.992657i | \(0.461401\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −2.94787 | + | 0.556826i | −0.982624 | + | 0.185609i | ||||
\(10\) | −1.98600 | + | 1.14662i | −0.628029 | + | 0.362593i | ||||
\(11\) | −0.431075 | − | 1.60879i | −0.129974 | − | 0.485070i | 0.869994 | − | 0.493062i | \(-0.164123\pi\) |
−0.999968 | + | 0.00799251i | \(0.997456\pi\) | |||||||
\(12\) | 1.00207 | + | 1.41275i | 0.289273 | + | 0.407825i | ||||
\(13\) | 1.58511 | + | 3.23843i | 0.439631 | + | 0.898178i | ||||
\(14\) | 3.60855 | + | 2.08340i | 0.964425 | + | 0.556811i | ||||
\(15\) | −1.38117 | − | 3.72413i | −0.356617 | − | 0.961567i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.96958 | − | 3.41141i | 0.477693 | − | 0.827388i | −0.521980 | − | 0.852958i | \(-0.674807\pi\) |
0.999673 | + | 0.0255693i | \(0.00813984\pi\) | |||||||
\(18\) | −2.70331 | + | 1.30082i | −0.637176 | + | 0.306606i | ||||
\(19\) | −0.878484 | − | 3.27855i | −0.201538 | − | 0.752150i | −0.990477 | − | 0.137678i | \(-0.956036\pi\) |
0.788939 | − | 0.614472i | \(-0.210631\pi\) | |||||||
\(20\) | −1.62156 | + | 1.62156i | −0.362593 | + | 0.362593i | ||||
\(21\) | −4.60536 | + | 5.55671i | −1.00497 | + | 1.21257i | ||||
\(22\) | −0.832773 | − | 1.44241i | −0.177548 | − | 0.307522i | ||||
\(23\) | 5.07211 | 1.05761 | 0.528804 | − | 0.848744i | \(-0.322641\pi\) | ||||
0.528804 | + | 0.848744i | \(0.322641\pi\) | |||||||
\(24\) | 1.33357 | + | 1.10525i | 0.272214 | + | 0.225609i | ||||
\(25\) | 0.224246 | − | 0.129469i | 0.0448492 | − | 0.0258937i | ||||
\(26\) | 2.36927 | + | 2.71782i | 0.464652 | + | 0.533009i | ||||
\(27\) | −1.43617 | − | 4.99374i | −0.276391 | − | 0.961045i | ||||
\(28\) | 4.02481 | + | 1.07844i | 0.760618 | + | 0.203807i | ||||
\(29\) | −4.53523 | − | 2.61842i | −0.842172 | − | 0.486228i | 0.0158300 | − | 0.999875i | \(-0.494961\pi\) |
−0.858002 | + | 0.513647i | \(0.828294\pi\) | |||||||
\(30\) | −2.29799 | − | 3.23976i | −0.419553 | − | 0.591497i | ||||
\(31\) | −0.610507 | − | 2.27844i | −0.109650 | − | 0.409220i | 0.889181 | − | 0.457556i | \(-0.151275\pi\) |
−0.998831 | + | 0.0483356i | \(0.984608\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | 2.70479 | − | 1.00312i | 0.470843 | − | 0.174622i | ||||
\(34\) | 1.01953 | − | 3.80493i | 0.174848 | − | 0.652541i | ||||
\(35\) | −8.27525 | − | 4.77772i | −1.39877 | − | 0.807582i | ||||
\(36\) | −2.27452 | + | 1.95616i | −0.379086 | + | 0.326027i | ||||
\(37\) | 1.21985 | − | 4.55256i | 0.200543 | − | 0.748436i | −0.790219 | − | 0.612824i | \(-0.790033\pi\) |
0.990762 | − | 0.135612i | \(-0.0432999\pi\) | |||||||
\(38\) | −1.69710 | − | 2.93946i | −0.275306 | − | 0.476844i | ||||
\(39\) | −5.32879 | + | 3.25637i | −0.853290 | + | 0.521437i | ||||
\(40\) | −1.14662 | + | 1.98600i | −0.181296 | + | 0.314014i | ||||
\(41\) | 2.88882 | + | 2.88882i | 0.451157 | + | 0.451157i | 0.895739 | − | 0.444581i | \(-0.146647\pi\) |
−0.444581 | + | 0.895739i | \(0.646647\pi\) | |||||||
\(42\) | −3.01026 | + | 6.55933i | −0.464493 | + | 1.01213i | ||||
\(43\) | − | 4.92213i | − | 0.750619i | −0.926900 | − | 0.375309i | \(-0.877537\pi\) | ||
0.926900 | − | 0.375309i | \(-0.122463\pi\) | |||||||
\(44\) | −1.17772 | − | 1.17772i | −0.177548 | − | 0.177548i | ||||
\(45\) | 6.19933 | − | 2.98308i | 0.924141 | − | 0.444692i | ||||
\(46\) | 4.89928 | − | 1.31276i | 0.722360 | − | 0.193556i | ||||
\(47\) | 4.39173 | + | 1.17676i | 0.640600 | + | 0.171648i | 0.564475 | − | 0.825450i | \(-0.309079\pi\) |
0.0761249 | + | 0.997098i | \(0.475745\pi\) | |||||||
\(48\) | 1.57419 | + | 0.722440i | 0.227215 | + | 0.104275i | ||||
\(49\) | 10.3621i | 1.48031i | ||||||||
\(50\) | 0.183096 | − | 0.183096i | 0.0258937 | − | 0.0258937i | ||||
\(51\) | 6.20099 | + | 2.84580i | 0.868312 | + | 0.398492i | ||||
\(52\) | 2.99196 | + | 2.01200i | 0.414911 | + | 0.279015i | ||||
\(53\) | − | 6.69581i | − | 0.919741i | −0.887986 | − | 0.459870i | \(-0.847896\pi\) | ||
0.887986 | − | 0.459870i | \(-0.152104\pi\) | |||||||
\(54\) | −2.67971 | − | 4.45187i | −0.364662 | − | 0.605823i | ||||
\(55\) | 1.90975 | + | 3.30778i | 0.257510 | + | 0.446021i | ||||
\(56\) | 4.16679 | 0.556811 | ||||||||
\(57\) | 5.51206 | − | 2.04426i | 0.730090 | − | 0.270769i | ||||
\(58\) | −5.05840 | − | 1.35539i | −0.664200 | − | 0.177972i | ||||
\(59\) | −8.36478 | − | 2.24134i | −1.08900 | − | 0.291797i | −0.330723 | − | 0.943728i | \(-0.607293\pi\) |
−0.758279 | + | 0.651930i | \(0.773959\pi\) | |||||||
\(60\) | −3.05820 | − | 2.53461i | −0.394811 | − | 0.327217i | ||||
\(61\) | 11.6225 | 1.48810 | 0.744052 | − | 0.668122i | \(-0.232902\pi\) | ||||
0.744052 | + | 0.668122i | \(0.232902\pi\) | |||||||
\(62\) | −1.17941 | − | 2.04279i | −0.149785 | − | 0.259435i | ||||
\(63\) | −10.3261 | − | 7.04489i | −1.30097 | − | 0.887573i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −5.43330 | − | 6.23261i | −0.673917 | − | 0.773061i | ||||
\(66\) | 2.35300 | − | 1.66899i | 0.289634 | − | 0.205439i | ||||
\(67\) | −9.81803 | + | 9.81803i | −1.19946 | + | 1.19946i | −0.225137 | + | 0.974327i | \(0.572283\pi\) |
−0.974327 | + | 0.225137i | \(0.927717\pi\) | |||||||
\(68\) | − | 3.93916i | − | 0.477693i | ||||||
\(69\) | 0.818866 | + | 8.74691i | 0.0985798 | + | 1.05300i | ||||
\(70\) | −9.22985 | − | 2.47313i | −1.10318 | − | 0.295596i | ||||
\(71\) | −13.5600 | + | 3.63339i | −1.60928 | + | 0.431205i | −0.947827 | − | 0.318784i | \(-0.896725\pi\) |
−0.661450 | + | 0.749989i | \(0.730059\pi\) | |||||||
\(72\) | −1.69072 | + | 2.47820i | −0.199254 | + | 0.292058i | ||||
\(73\) | 6.61207 | + | 6.61207i | 0.773884 | + | 0.773884i | 0.978783 | − | 0.204899i | \(-0.0656866\pi\) |
−0.204899 | + | 0.978783i | \(0.565687\pi\) | |||||||
\(74\) | − | 4.71315i | − | 0.547893i | ||||||
\(75\) | 0.259473 | + | 0.365813i | 0.0299614 | + | 0.0422404i | ||||
\(76\) | −2.40006 | − | 2.40006i | −0.275306 | − | 0.275306i | ||||
\(77\) | 3.46999 | − | 6.01020i | 0.395442 | − | 0.684926i | ||||
\(78\) | −4.30441 | + | 4.52461i | −0.487378 | + | 0.512311i | ||||
\(79\) | −8.13274 | − | 14.0863i | −0.915004 | − | 1.58483i | −0.806895 | − | 0.590695i | \(-0.798854\pi\) |
−0.108109 | − | 0.994139i | \(-0.534480\pi\) | |||||||
\(80\) | −0.593533 | + | 2.21510i | −0.0663591 | + | 0.247655i | ||||
\(81\) | 8.37989 | − | 3.28290i | 0.931099 | − | 0.364767i | ||||
\(82\) | 3.53806 | + | 2.04270i | 0.390714 | + | 0.225579i | ||||
\(83\) | −2.02549 | + | 7.55922i | −0.222326 | + | 0.829732i | 0.761132 | + | 0.648597i | \(0.224644\pi\) |
−0.983458 | + | 0.181135i | \(0.942023\pi\) | |||||||
\(84\) | −1.21000 | + | 7.11494i | −0.132022 | + | 0.776303i | ||||
\(85\) | −2.33802 | + | 8.72561i | −0.253594 | + | 0.946426i | ||||
\(86\) | −1.27394 | − | 4.75442i | −0.137373 | − | 0.512682i | ||||
\(87\) | 3.78330 | − | 8.24379i | 0.405612 | − | 0.883827i | ||||
\(88\) | −1.44241 | − | 0.832773i | −0.153761 | − | 0.0887739i | ||||
\(89\) | 8.95926 | + | 2.40063i | 0.949679 | + | 0.254466i | 0.700226 | − | 0.713921i | \(-0.253083\pi\) |
0.249453 | + | 0.968387i | \(0.419749\pi\) | |||||||
\(90\) | 5.21601 | − | 4.48594i | 0.549816 | − | 0.472860i | ||||
\(91\) | −4.87127 | + | 14.2119i | −0.510648 | + | 1.48981i | ||||
\(92\) | 4.39258 | − | 2.53606i | 0.457958 | − | 0.264402i | ||||
\(93\) | 3.83063 | − | 1.42067i | 0.397218 | − | 0.147316i | ||||
\(94\) | 4.54666 | 0.468952 | ||||||||
\(95\) | 3.89185 | + | 6.74089i | 0.399296 | + | 0.691600i | ||||
\(96\) | 1.70753 | + | 0.290392i | 0.174274 | + | 0.0296381i | ||||
\(97\) | −6.05440 | + | 6.05440i | −0.614731 | + | 0.614731i | −0.944175 | − | 0.329444i | \(-0.893139\pi\) |
0.329444 | + | 0.944175i | \(0.393139\pi\) | |||||||
\(98\) | 2.68192 | + | 10.0091i | 0.270915 | + | 1.01107i | ||||
\(99\) | 2.16657 | + | 4.50249i | 0.217749 | + | 0.452517i | ||||
\(100\) | 0.129469 | − | 0.224246i | 0.0129469 | − | 0.0224246i | ||||
\(101\) | −8.37557 | + | 14.5069i | −0.833401 | + | 1.44349i | 0.0619252 | + | 0.998081i | \(0.480276\pi\) |
−0.895326 | + | 0.445412i | \(0.853057\pi\) | |||||||
\(102\) | 6.72624 | + | 1.14390i | 0.665997 | + | 0.113263i | ||||
\(103\) | 7.55143 | + | 4.35982i | 0.744065 | + | 0.429586i | 0.823545 | − | 0.567251i | \(-0.191993\pi\) |
−0.0794807 | + | 0.996836i | \(0.525326\pi\) | |||||||
\(104\) | 3.41076 | + | 1.16907i | 0.334452 | + | 0.114637i | ||||
\(105\) | 6.90323 | − | 15.0421i | 0.673686 | − | 1.46796i | ||||
\(106\) | −1.73300 | − | 6.46766i | −0.168324 | − | 0.628195i | ||||
\(107\) | 8.80347 | − | 5.08268i | 0.851063 | − | 0.491362i | −0.00994628 | − | 0.999951i | \(-0.503166\pi\) |
0.861009 | + | 0.508589i | \(0.169833\pi\) | |||||||
\(108\) | −3.74063 | − | 3.60662i | −0.359942 | − | 0.347047i | ||||
\(109\) | 2.11305 | − | 2.11305i | 0.202394 | − | 0.202394i | −0.598631 | − | 0.801025i | \(-0.704288\pi\) |
0.801025 | + | 0.598631i | \(0.204288\pi\) | |||||||
\(110\) | 2.70079 | + | 2.70079i | 0.257510 | + | 0.257510i | ||||
\(111\) | 8.04787 | + | 1.36866i | 0.763870 | + | 0.129908i | ||||
\(112\) | 4.02481 | − | 1.07844i | 0.380309 | − | 0.101903i | ||||
\(113\) | −16.1467 | + | 9.32231i | −1.51895 | + | 0.876969i | −0.519203 | + | 0.854651i | \(0.673771\pi\) |
−0.999751 | + | 0.0223181i | \(0.992895\pi\) | |||||||
\(114\) | 4.79515 | − | 3.40123i | 0.449107 | − | 0.318554i | ||||
\(115\) | −11.2352 | + | 3.01047i | −1.04769 | + | 0.280728i | ||||
\(116\) | −5.23684 | −0.486228 | ||||||||
\(117\) | −6.47595 | − | 8.66384i | −0.598702 | − | 0.800972i | ||||
\(118\) | −8.65986 | −0.797205 | ||||||||
\(119\) | 15.8544 | − | 4.24816i | 1.45337 | − | 0.389428i | ||||
\(120\) | −3.61000 | − | 1.65673i | −0.329546 | − | 0.151238i | ||||
\(121\) | 7.12389 | − | 4.11298i | 0.647626 | − | 0.373907i | ||||
\(122\) | 11.2264 | − | 3.00811i | 1.01639 | − | 0.272342i | ||||
\(123\) | −4.51541 | + | 5.44818i | −0.407141 | + | 0.491246i | ||||
\(124\) | −1.66793 | − | 1.66793i | −0.149785 | − | 0.149785i | ||||
\(125\) | 7.68794 | − | 7.68794i | 0.687630 | − | 0.687630i | ||||
\(126\) | −11.7976 | − | 4.13225i | −1.05102 | − | 0.368130i | ||||
\(127\) | 14.6359 | − | 8.45004i | 1.29873 | − | 0.749820i | 0.318542 | − | 0.947909i | \(-0.396807\pi\) |
0.980184 | + | 0.198089i | \(0.0634735\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | 8.48827 | − | 0.794653i | 0.747351 | − | 0.0699653i | ||||
\(130\) | −6.86128 | − | 4.61400i | −0.601774 | − | 0.404675i | ||||
\(131\) | 9.78550 | + | 5.64966i | 0.854963 | + | 0.493613i | 0.862322 | − | 0.506360i | \(-0.169009\pi\) |
−0.00735903 | + | 0.999973i | \(0.502342\pi\) | |||||||
\(132\) | 1.84085 | − | 2.22113i | 0.160226 | − | 0.193324i | ||||
\(133\) | 7.07146 | − | 12.2481i | 0.613173 | − | 1.06205i | ||||
\(134\) | −6.94240 | + | 12.0246i | −0.599732 | + | 1.03877i | ||||
\(135\) | 6.14521 | + | 10.2092i | 0.528895 | + | 0.878668i | ||||
\(136\) | −1.01953 | − | 3.80493i | −0.0874239 | − | 0.326270i | ||||
\(137\) | −10.9647 | + | 10.9647i | −0.936777 | + | 0.936777i | −0.998117 | − | 0.0613396i | \(-0.980463\pi\) |
0.0613396 | + | 0.998117i | \(0.480463\pi\) | |||||||
\(138\) | 3.05483 | + | 8.23693i | 0.260044 | + | 0.701174i | ||||
\(139\) | −8.94201 | − | 15.4880i | −0.758451 | − | 1.31368i | −0.943640 | − | 0.330973i | \(-0.892623\pi\) |
0.185189 | − | 0.982703i | \(-0.440710\pi\) | |||||||
\(140\) | −9.55544 | −0.807582 | ||||||||
\(141\) | −1.32032 | + | 7.76357i | −0.111191 | + | 0.653811i | ||||
\(142\) | −12.1576 | + | 7.01918i | −1.02024 | + | 0.589036i | ||||
\(143\) | 4.52666 | − | 3.94613i | 0.378538 | − | 0.329992i | ||||
\(144\) | −0.991710 | + | 2.83134i | −0.0826425 | + | 0.235945i | ||||
\(145\) | 11.6001 | + | 3.10824i | 0.963336 | + | 0.258125i | ||||
\(146\) | 8.09810 | + | 4.67544i | 0.670203 | + | 0.386942i | ||||
\(147\) | −17.8696 | + | 1.67291i | −1.47386 | + | 0.137980i | ||||
\(148\) | −1.21985 | − | 4.55256i | −0.100271 | − | 0.374218i | ||||
\(149\) | −1.06319 | + | 3.96787i | −0.0870997 | + | 0.325061i | −0.995704 | − | 0.0925986i | \(-0.970483\pi\) |
0.908604 | + | 0.417659i | \(0.137149\pi\) | |||||||
\(150\) | 0.345311 | + | 0.286191i | 0.0281945 | + | 0.0233674i | ||||
\(151\) | −0.919034 | + | 3.42988i | −0.0747899 | + | 0.279120i | −0.993186 | − | 0.116543i | \(-0.962819\pi\) |
0.918396 | + | 0.395663i | \(0.129485\pi\) | |||||||
\(152\) | −2.93946 | − | 1.69710i | −0.238422 | − | 0.137653i | ||||
\(153\) | −3.90650 | + | 11.1531i | −0.315822 | + | 0.901675i | ||||
\(154\) | 1.79620 | − | 6.70351i | 0.144742 | − | 0.540184i | ||||
\(155\) | 2.70466 | + | 4.68461i | 0.217244 | + | 0.376277i | ||||
\(156\) | −2.98668 | + | 5.48450i | −0.239126 | + | 0.439111i | ||||
\(157\) | 4.11430 | − | 7.12617i | 0.328357 | − | 0.568731i | −0.653829 | − | 0.756642i | \(-0.726839\pi\) |
0.982186 | + | 0.187912i | \(0.0601719\pi\) | |||||||
\(158\) | −11.5014 | − | 11.5014i | −0.915004 | − | 0.915004i | ||||
\(159\) | 11.5470 | − | 1.08100i | 0.915737 | − | 0.0857292i | ||||
\(160\) | 2.29324i | 0.181296i | ||||||||
\(161\) | 14.9443 | + | 14.9443i | 1.17778 | + | 1.17778i | ||||
\(162\) | 7.24467 | − | 5.33992i | 0.569195 | − | 0.419543i | ||||
\(163\) | −14.8816 | + | 3.98750i | −1.16561 | + | 0.312325i | −0.789206 | − | 0.614129i | \(-0.789507\pi\) |
−0.376408 | + | 0.926454i | \(0.622841\pi\) | |||||||
\(164\) | 3.94620 | + | 1.05738i | 0.308146 | + | 0.0825675i | ||||
\(165\) | −5.39598 | + | 3.82740i | −0.420076 | + | 0.297963i | ||||
\(166\) | 7.82588i | 0.607406i | ||||||||
\(167\) | −2.39493 | + | 2.39493i | −0.185325 | + | 0.185325i | −0.793671 | − | 0.608347i | \(-0.791833\pi\) |
0.608347 | + | 0.793671i | \(0.291833\pi\) | |||||||
\(168\) | 0.672706 | + | 7.18567i | 0.0519004 | + | 0.554387i | ||||
\(169\) | −7.97483 | + | 10.2666i | −0.613448 | + | 0.789735i | ||||
\(170\) | 9.03342i | 0.692832i | ||||||||
\(171\) | 4.41524 | + | 9.17557i | 0.337642 | + | 0.701673i | ||||
\(172\) | −2.46107 | − | 4.26269i | −0.187655 | − | 0.325027i | ||||
\(173\) | −8.59114 | −0.653172 | −0.326586 | − | 0.945167i | \(-0.605898\pi\) | ||||
−0.326586 | + | 0.945167i | \(0.605898\pi\) | |||||||
\(174\) | 1.52074 | − | 8.94208i | 0.115287 | − | 0.677897i | ||||
\(175\) | 1.04217 | + | 0.279249i | 0.0787809 | + | 0.0211093i | ||||
\(176\) | −1.60879 | − | 0.431075i | −0.121267 | − | 0.0324935i | ||||
\(177\) | 2.51476 | − | 14.7870i | 0.189021 | − | 1.11146i | ||||
\(178\) | 9.27530 | 0.695213 | ||||||||
\(179\) | −5.02767 | − | 8.70818i | −0.375786 | − | 0.650880i | 0.614658 | − | 0.788793i | \(-0.289294\pi\) |
−0.990444 | + | 0.137913i | \(0.955961\pi\) | |||||||
\(180\) | 3.87723 | − | 5.68309i | 0.288992 | − | 0.423592i | ||||
\(181\) | − | 4.65565i | − | 0.346052i | −0.984917 | − | 0.173026i | \(-0.944646\pi\) | ||
0.984917 | − | 0.173026i | \(-0.0553545\pi\) | |||||||
\(182\) | −1.02697 | + | 14.9884i | −0.0761240 | + | 1.11102i | ||||
\(183\) | 1.87638 | + | 20.0430i | 0.138706 | + | 1.48162i | ||||
\(184\) | 3.58652 | − | 3.58652i | 0.264402 | − | 0.264402i | ||||
\(185\) | 10.8084i | 0.794648i | ||||||||
\(186\) | 3.33241 | − | 2.36370i | 0.244344 | − | 0.173315i | ||||
\(187\) | −6.33729 | − | 1.69807i | −0.463429 | − | 0.124175i | ||||
\(188\) | 4.39173 | − | 1.17676i | 0.320300 | − | 0.0858242i | ||||
\(189\) | 10.4819 | − | 18.9449i | 0.762446 | − | 1.37804i | ||||
\(190\) | 5.50391 | + | 5.50391i | 0.399296 | + | 0.399296i | ||||
\(191\) | − | 8.62127i | − | 0.623813i | −0.950113 | − | 0.311906i | \(-0.899032\pi\) | ||
0.950113 | − | 0.311906i | \(-0.100968\pi\) | |||||||
\(192\) | 1.72451 | − | 0.161445i | 0.124456 | − | 0.0116513i | ||||
\(193\) | −12.1598 | − | 12.1598i | −0.875283 | − | 0.875283i | 0.117759 | − | 0.993042i | \(-0.462429\pi\) |
−0.993042 | + | 0.117759i | \(0.962429\pi\) | |||||||
\(194\) | −4.28111 | + | 7.41510i | −0.307366 | + | 0.532373i | ||||
\(195\) | 9.87103 | − | 10.3760i | 0.706879 | − | 0.743041i | ||||
\(196\) | 5.18107 | + | 8.97388i | 0.370077 | + | 0.640992i | ||||
\(197\) | −2.41082 | + | 8.99729i | −0.171764 | + | 0.641030i | 0.825317 | + | 0.564670i | \(0.190997\pi\) |
−0.997080 | + | 0.0763603i | \(0.975670\pi\) | |||||||
\(198\) | 3.25808 | + | 3.78832i | 0.231542 | + | 0.269224i | ||||
\(199\) | −5.89590 | − | 3.40400i | −0.417950 | − | 0.241303i | 0.276250 | − | 0.961086i | \(-0.410908\pi\) |
−0.694200 | + | 0.719782i | \(0.744242\pi\) | |||||||
\(200\) | 0.0670178 | − | 0.250114i | 0.00473888 | − | 0.0176857i | ||||
\(201\) | −18.5164 | − | 15.3462i | −1.30604 | − | 1.08244i | ||||
\(202\) | −4.33552 | + | 16.1804i | −0.305046 | + | 1.13845i | ||||
\(203\) | −5.64764 | − | 21.0773i | −0.396387 | − | 1.47934i | ||||
\(204\) | 6.79312 | − | 0.635956i | 0.475613 | − | 0.0445258i | ||||
\(205\) | −8.11362 | − | 4.68440i | −0.566680 | − | 0.327173i | ||||
\(206\) | 8.42253 | + | 2.25681i | 0.586825 | + | 0.157239i | ||||
\(207\) | −14.9519 | + | 2.82428i | −1.03923 | + | 0.196301i | ||||
\(208\) | 3.59712 | + | 0.246465i | 0.249415 | + | 0.0170893i | ||||
\(209\) | −4.89581 | + | 2.82660i | −0.338651 | + | 0.195520i | ||||
\(210\) | 2.77483 | − | 16.3162i | 0.191481 | − | 1.12593i | ||||
\(211\) | −17.3409 | −1.19380 | −0.596899 | − | 0.802316i | \(-0.703601\pi\) | ||||
−0.596899 | + | 0.802316i | \(0.703601\pi\) | |||||||
\(212\) | −3.34791 | − | 5.79875i | −0.229935 | − | 0.398259i | ||||
\(213\) | −8.45502 | − | 22.7978i | −0.579328 | − | 1.56208i | ||||
\(214\) | 7.18800 | − | 7.18800i | 0.491362 | − | 0.491362i | ||||
\(215\) | 2.92145 | + | 10.9030i | 0.199241 | + | 0.743579i | ||||
\(216\) | −4.54663 | − | 2.51558i | −0.309359 | − | 0.171164i | ||||
\(217\) | 4.91435 | − | 8.51190i | 0.333608 | − | 0.577825i | ||||
\(218\) | 1.49415 | − | 2.58795i | 0.101197 | − | 0.175278i | ||||
\(219\) | −10.3351 | + | 12.4701i | −0.698381 | + | 0.842649i | ||||
\(220\) | 3.30778 | + | 1.90975i | 0.223010 | + | 0.128755i | ||||
\(221\) | 14.1696 | + | 0.970865i | 0.953151 | + | 0.0653074i | ||||
\(222\) | 8.12788 | − | 0.760914i | 0.545508 | − | 0.0510692i | ||||
\(223\) | −6.93742 | − | 25.8908i | −0.464564 | − | 1.73378i | −0.658331 | − | 0.752729i | \(-0.728737\pi\) |
0.193767 | − | 0.981048i | \(-0.437930\pi\) | |||||||
\(224\) | 3.60855 | − | 2.08340i | 0.241106 | − | 0.139203i | ||||
\(225\) | −0.588957 | + | 0.506523i | −0.0392638 | + | 0.0337682i | ||||
\(226\) | −13.1837 | + | 13.1837i | −0.876969 | + | 0.876969i | ||||
\(227\) | −4.85337 | − | 4.85337i | −0.322129 | − | 0.322129i | 0.527454 | − | 0.849583i | \(-0.323147\pi\) |
−0.849583 | + | 0.527454i | \(0.823147\pi\) | |||||||
\(228\) | 3.75145 | − | 4.52641i | 0.248446 | − | 0.299769i | ||||
\(229\) | −17.2203 | + | 4.61415i | −1.13795 | + | 0.304912i | −0.778125 | − | 0.628109i | \(-0.783829\pi\) |
−0.359821 | + | 0.933021i | \(0.617162\pi\) | |||||||
\(230\) | −10.0732 | + | 5.81578i | −0.664209 | + | 0.383481i | ||||
\(231\) | 10.9249 | + | 5.01372i | 0.718804 | + | 0.329879i | ||||
\(232\) | −5.05840 | + | 1.35539i | −0.332100 | + | 0.0889859i | ||||
\(233\) | 13.8109 | 0.904780 | 0.452390 | − | 0.891820i | \(-0.350571\pi\) | ||||
0.452390 | + | 0.891820i | \(0.350571\pi\) | |||||||
\(234\) | −8.49766 | − | 6.69252i | −0.555509 | − | 0.437504i | ||||
\(235\) | −10.4266 | −0.680154 | ||||||||
\(236\) | −8.36478 | + | 2.24134i | −0.544501 | + | 0.145899i | ||||
\(237\) | 22.9790 | − | 16.2991i | 1.49265 | − | 1.05874i | ||||
\(238\) | 14.2146 | − | 8.20682i | 0.921398 | − | 0.531969i | ||||
\(239\) | 21.4520 | − | 5.74805i | 1.38762 | − | 0.371811i | 0.513734 | − | 0.857949i | \(-0.328262\pi\) |
0.873882 | + | 0.486139i | \(0.161595\pi\) | |||||||
\(240\) | −3.91578 | − | 0.665939i | −0.252763 | − | 0.0429862i | ||||
\(241\) | 7.02904 | + | 7.02904i | 0.452781 | + | 0.452781i | 0.896276 | − | 0.443496i | \(-0.146262\pi\) |
−0.443496 | + | 0.896276i | \(0.646262\pi\) | |||||||
\(242\) | 5.81663 | − | 5.81663i | 0.373907 | − | 0.373907i | ||||
\(243\) | 7.01429 | + | 13.9212i | 0.449967 | + | 0.893045i | ||||
\(244\) | 10.0653 | − | 5.81123i | 0.644368 | − | 0.372026i | ||||
\(245\) | −6.15028 | − | 22.9532i | −0.392927 | − | 1.46642i | ||||
\(246\) | −2.95146 | + | 6.43121i | −0.188178 | + | 0.410039i | ||||
\(247\) | 9.22484 | − | 8.04177i | 0.586962 | − | 0.511686i | ||||
\(248\) | −2.04279 | − | 1.17941i | −0.129718 | − | 0.0748925i | ||||
\(249\) | −13.3630 | − | 2.27258i | −0.846843 | − | 0.144019i | ||||
\(250\) | 5.43619 | − | 9.41576i | 0.343815 | − | 0.595505i | ||||
\(251\) | 4.30727 | − | 7.46042i | 0.271873 | − | 0.470897i | −0.697469 | − | 0.716615i | \(-0.745690\pi\) |
0.969341 | + | 0.245718i | \(0.0790237\pi\) | |||||||
\(252\) | −12.4651 | − | 0.937996i | −0.785229 | − | 0.0590882i | ||||
\(253\) | −2.18646 | − | 8.15999i | −0.137462 | − | 0.513014i | ||||
\(254\) | 11.9502 | − | 11.9502i | 0.749820 | − | 0.749820i | ||||
\(255\) | −15.4249 | − | 2.62324i | −0.965943 | − | 0.164273i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −13.3721 | −0.834128 | −0.417064 | − | 0.908877i | \(-0.636941\pi\) | ||||
−0.417064 | + | 0.908877i | \(0.636941\pi\) | |||||||
\(258\) | 7.99337 | − | 2.96450i | 0.497645 | − | 0.184562i | ||||
\(259\) | 17.0076 | − | 9.81936i | 1.05680 | − | 0.610145i | ||||
\(260\) | −7.82168 | − | 2.68095i | −0.485080 | − | 0.166266i | ||||
\(261\) | 14.8273 | + | 5.19342i | 0.917786 | + | 0.321465i | ||||
\(262\) | 10.9143 | + | 2.92448i | 0.674288 | + | 0.180675i | ||||
\(263\) | −3.71361 | − | 2.14406i | −0.228991 | − | 0.132208i | 0.381115 | − | 0.924527i | \(-0.375540\pi\) |
−0.610107 | + | 0.792319i | \(0.708873\pi\) | |||||||
\(264\) | 1.20326 | − | 2.62189i | 0.0740554 | − | 0.161366i | ||||
\(265\) | 3.97419 | + | 14.8319i | 0.244133 | + | 0.911115i | ||||
\(266\) | 3.66046 | − | 13.6610i | 0.224437 | − | 0.837610i | ||||
\(267\) | −2.69348 | + | 15.8379i | −0.164838 | + | 0.969264i | ||||
\(268\) | −3.59365 | + | 13.4117i | −0.219517 | + | 0.819249i | ||||
\(269\) | −13.1178 | − | 7.57359i | −0.799809 | − | 0.461770i | 0.0435953 | − | 0.999049i | \(-0.486119\pi\) |
−0.843404 | + | 0.537279i | \(0.819452\pi\) | |||||||
\(270\) | 8.57815 | + | 8.27083i | 0.522050 | + | 0.503347i | ||||
\(271\) | −0.913090 | + | 3.40770i | −0.0554663 | + | 0.207003i | −0.988098 | − | 0.153827i | \(-0.950840\pi\) |
0.932631 | + | 0.360830i | \(0.117507\pi\) | |||||||
\(272\) | −1.96958 | − | 3.41141i | −0.119423 | − | 0.206847i | ||||
\(273\) | −25.2950 | − | 6.10611i | −1.53093 | − | 0.369559i | ||||
\(274\) | −7.75321 | + | 13.4290i | −0.468389 | + | 0.811273i | ||||
\(275\) | −0.304955 | − | 0.304955i | −0.0183895 | − | 0.0183895i | ||||
\(276\) | 5.08261 | + | 7.16561i | 0.305937 | + | 0.431319i | ||||
\(277\) | 21.9515i | 1.31894i | 0.751732 | + | 0.659468i | \(0.229218\pi\) | ||||
−0.751732 | + | 0.659468i | \(0.770782\pi\) | |||||||
\(278\) | −12.6459 | − | 12.6459i | −0.758451 | − | 0.758451i | ||||
\(279\) | 3.06839 | + | 6.37661i | 0.183700 | + | 0.381757i | ||||
\(280\) | −9.22985 | + | 2.47313i | −0.551589 | + | 0.147798i | ||||
\(281\) | 1.24159 | + | 0.332682i | 0.0740668 | + | 0.0198461i | 0.295662 | − | 0.955293i | \(-0.404460\pi\) |
−0.221595 | + | 0.975139i | \(0.571126\pi\) | |||||||
\(282\) | 0.734034 | + | 7.84076i | 0.0437111 | + | 0.466910i | ||||
\(283\) | − | 12.4186i | − | 0.738210i | −0.929388 | − | 0.369105i | \(-0.879664\pi\) | ||
0.929388 | − | 0.369105i | \(-0.120336\pi\) | |||||||
\(284\) | −9.92662 | + | 9.92662i | −0.589036 | + | 0.589036i | ||||
\(285\) | −10.9964 | + | 7.79982i | −0.651371 | + | 0.462022i | ||||
\(286\) | 3.35109 | − | 4.98325i | 0.198154 | − | 0.294666i | ||||
\(287\) | 17.0230i | 1.00484i | ||||||||
\(288\) | −0.225112 | + | 2.99154i | −0.0132649 | + | 0.176278i | ||||
\(289\) | 0.741523 | + | 1.28436i | 0.0436190 | + | 0.0755504i | ||||
\(290\) | 12.0093 | 0.705211 | ||||||||
\(291\) | −11.4183 | − | 9.46343i | −0.669354 | − | 0.554756i | ||||
\(292\) | 9.03226 | + | 2.42019i | 0.528573 | + | 0.141631i | ||||
\(293\) | 7.88381 | + | 2.11246i | 0.460577 | + | 0.123411i | 0.481644 | − | 0.876367i | \(-0.340040\pi\) |
−0.0210673 | + | 0.999778i | \(0.506706\pi\) | |||||||
\(294\) | −16.8278 | + | 6.24091i | −0.981414 | + | 0.363977i | ||||
\(295\) | 19.8591 | 1.15624 | ||||||||
\(296\) | −2.35658 | − | 4.08171i | −0.136973 | − | 0.237245i | ||||
\(297\) | −7.41480 | + | 4.46318i | −0.430250 | + | 0.258980i | ||||
\(298\) | 4.10784i | 0.237961i | ||||||||
\(299\) | 8.03987 | + | 16.4257i | 0.464958 | + | 0.949921i | ||||
\(300\) | 0.407617 | + | 0.187066i | 0.0235338 | + | 0.0108003i | ||||
\(301\) | 14.5024 | − | 14.5024i | 0.835905 | − | 0.835905i | ||||
\(302\) | 3.55087i | 0.204330i | ||||||||
\(303\) | −26.3695 | − | 12.1017i | −1.51489 | − | 0.695224i | ||||
\(304\) | −3.27855 | − | 0.878484i | −0.188037 | − | 0.0503845i | ||||
\(305\) | −25.7449 | + | 6.89832i | −1.47415 | + | 0.394997i | ||||
\(306\) | −0.886753 | + | 11.7842i | −0.0506923 | + | 0.673655i | ||||
\(307\) | 14.4197 | + | 14.4197i | 0.822977 | + | 0.822977i | 0.986534 | − | 0.163557i | \(-0.0522968\pi\) |
−0.163557 | + | 0.986534i | \(0.552297\pi\) | |||||||
\(308\) | − | 6.93998i | − | 0.395442i | ||||||
\(309\) | −6.29942 | + | 13.7264i | −0.358361 | + | 0.780867i | ||||
\(310\) | 3.82497 | + | 3.82497i | 0.217244 | + | 0.217244i | ||||
\(311\) | 2.55908 | − | 4.43246i | 0.145112 | − | 0.251342i | −0.784303 | − | 0.620379i | \(-0.786979\pi\) |
0.929415 | + | 0.369037i | \(0.120312\pi\) | |||||||
\(312\) | −1.46542 | + | 6.07063i | −0.0829633 | + | 0.343682i | ||||
\(313\) | 2.52339 | + | 4.37065i | 0.142631 | + | 0.247043i | 0.928486 | − | 0.371366i | \(-0.121111\pi\) |
−0.785856 | + | 0.618410i | \(0.787777\pi\) | |||||||
\(314\) | 2.12972 | − | 7.94821i | 0.120187 | − | 0.448544i | ||||
\(315\) | 27.0547 | + | 9.47622i | 1.52436 | + | 0.533925i | ||||
\(316\) | −14.0863 | − | 8.13274i | −0.792417 | − | 0.457502i | ||||
\(317\) | 1.64335 | − | 6.13308i | 0.0922999 | − | 0.344468i | −0.904296 | − | 0.426905i | \(-0.859604\pi\) |
0.996596 | + | 0.0824373i | \(0.0262704\pi\) | |||||||
\(318\) | 10.8738 | − | 4.03275i | 0.609770 | − | 0.226146i | ||||
\(319\) | −2.25747 | + | 8.42500i | −0.126394 | + | 0.471709i | ||||
\(320\) | 0.593533 | + | 2.21510i | 0.0331795 | + | 0.123828i | ||||
\(321\) | 10.1864 | + | 14.3611i | 0.568550 | + | 0.801558i | ||||
\(322\) | 18.3030 | + | 10.5672i | 1.01998 | + | 0.588888i | ||||
\(323\) | −12.9147 | − | 3.46048i | −0.718593 | − | 0.192547i | ||||
\(324\) | 5.61575 | − | 7.03302i | 0.311986 | − | 0.390723i | ||||
\(325\) | 0.774730 | + | 0.520982i | 0.0429743 | + | 0.0288989i | ||||
\(326\) | −13.3424 | + | 7.70326i | −0.738969 | + | 0.426644i | ||||
\(327\) | 3.98512 | + | 3.30284i | 0.220378 | + | 0.182647i | ||||
\(328\) | 4.08540 | 0.225579 | ||||||||
\(329\) | 9.47249 | + | 16.4068i | 0.522235 | + | 0.904538i | ||||
\(330\) | −4.22151 | + | 5.09357i | −0.232387 | + | 0.280392i | ||||
\(331\) | 2.03052 | − | 2.03052i | 0.111607 | − | 0.111607i | −0.649098 | − | 0.760705i | \(-0.724853\pi\) |
0.760705 | + | 0.649098i | \(0.224853\pi\) | |||||||
\(332\) | 2.02549 | + | 7.55922i | 0.111163 | + | 0.414866i | ||||
\(333\) | −1.06099 | + | 14.0996i | −0.0581418 | + | 0.772653i | ||||
\(334\) | −1.69347 | + | 2.93317i | −0.0926624 | + | 0.160496i | ||||
\(335\) | 15.9206 | − | 27.5752i | 0.869834 | − | 1.50660i | ||||
\(336\) | 2.50957 | + | 6.76672i | 0.136908 | + | 0.369155i | ||||
\(337\) | 11.4454 | + | 6.60801i | 0.623471 | + | 0.359961i | 0.778219 | − | 0.627993i | \(-0.216123\pi\) |
−0.154748 | + | 0.987954i | \(0.549457\pi\) | |||||||
\(338\) | −5.04591 | + | 11.9808i | −0.274462 | + | 0.651668i | ||||
\(339\) | −18.6832 | − | 26.3401i | −1.01473 | − | 1.43060i | ||||
\(340\) | 2.33802 | + | 8.72561i | 0.126797 | + | 0.473213i | ||||
\(341\) | −3.40237 | + | 1.96436i | −0.184249 | + | 0.106376i | ||||
\(342\) | 6.63960 | + | 7.72017i | 0.359029 | + | 0.417459i | ||||
\(343\) | −9.90611 | + | 9.90611i | −0.534880 | + | 0.534880i | ||||
\(344\) | −3.48048 | − | 3.48048i | −0.187655 | − | 0.187655i | ||||
\(345\) | −7.00545 | − | 18.8892i | −0.377161 | − | 1.01696i | ||||
\(346\) | −8.29840 | + | 2.22355i | −0.446125 | + | 0.119539i | ||||
\(347\) | 3.45612 | − | 1.99539i | 0.185534 | − | 0.107118i | −0.404356 | − | 0.914602i | \(-0.632504\pi\) |
0.589890 | + | 0.807483i | \(0.299171\pi\) | |||||||
\(348\) | −0.845460 | − | 9.03098i | −0.0453214 | − | 0.484111i | ||||
\(349\) | −15.6408 | + | 4.19093i | −0.837230 | + | 0.224335i | −0.651866 | − | 0.758335i | \(-0.726013\pi\) |
−0.185365 | + | 0.982670i | \(0.559347\pi\) | |||||||
\(350\) | 1.07894 | 0.0576716 | ||||||||
\(351\) | 13.8954 | − | 12.5666i | 0.741680 | − | 0.670754i | ||||
\(352\) | −1.66555 | −0.0887739 | ||||||||
\(353\) | 1.71497 | − | 0.459526i | 0.0912789 | − | 0.0244581i | −0.212891 | − | 0.977076i | \(-0.568288\pi\) |
0.304169 | + | 0.952618i | \(0.401621\pi\) | |||||||
\(354\) | −1.39809 | − | 14.9340i | −0.0743076 | − | 0.793734i | ||||
\(355\) | 27.8802 | − | 16.0966i | 1.47973 | − | 0.854321i | ||||
\(356\) | 8.95926 | − | 2.40063i | 0.474840 | − | 0.127233i | ||||
\(357\) | 9.88560 | + | 26.6552i | 0.523202 | + | 1.41074i | ||||
\(358\) | −7.11020 | − | 7.11020i | −0.375786 | − | 0.375786i | ||||
\(359\) | 5.40394 | − | 5.40394i | 0.285209 | − | 0.285209i | −0.549973 | − | 0.835182i | \(-0.685362\pi\) |
0.835182 | + | 0.549973i | \(0.185362\pi\) | |||||||
\(360\) | 2.27423 | − | 6.49294i | 0.119862 | − | 0.342208i | ||||
\(361\) | 6.47736 | − | 3.73970i | 0.340913 | − | 0.196826i | ||||
\(362\) | −1.20497 | − | 4.49702i | −0.0633319 | − | 0.236358i | ||||
\(363\) | 8.24299 | + | 11.6212i | 0.432645 | + | 0.609955i | ||||
\(364\) | 2.88732 | + | 14.7435i | 0.151337 | + | 0.772770i | ||||
\(365\) | −18.5709 | − | 10.7219i | −0.972043 | − | 0.561209i | ||||
\(366\) | 6.99997 | + | 18.8745i | 0.365894 | + | 0.986584i | ||||
\(367\) | −11.4578 | + | 19.8455i | −0.598092 | + | 1.03593i | 0.395010 | + | 0.918677i | \(0.370741\pi\) |
−0.993102 | + | 0.117250i | \(0.962592\pi\) | |||||||
\(368\) | 2.53606 | − | 4.39258i | 0.132201 | − | 0.228979i | ||||
\(369\) | −10.1244 | − | 6.90729i | −0.527057 | − | 0.359579i | ||||
\(370\) | 2.79741 | + | 10.4401i | 0.145431 | + | 0.542754i | ||||
\(371\) | 19.7283 | − | 19.7283i | 1.02424 | − | 1.02424i | ||||
\(372\) | 2.60709 | − | 3.14565i | 0.135171 | − | 0.163094i | ||||
\(373\) | 6.18794 | + | 10.7178i | 0.320400 | + | 0.554948i | 0.980570 | − | 0.196167i | \(-0.0628495\pi\) |
−0.660171 | + | 0.751115i | \(0.729516\pi\) | |||||||
\(374\) | −6.56085 | −0.339253 | ||||||||
\(375\) | 14.4991 | + | 12.0167i | 0.748730 | + | 0.620542i | ||||
\(376\) | 3.93752 | − | 2.27333i | 0.203062 | − | 0.117238i | ||||
\(377\) | 1.29070 | − | 18.8375i | 0.0664743 | − | 0.970182i | ||||
\(378\) | 5.22144 | − | 21.0122i | 0.268562 | − | 1.08075i | ||||
\(379\) | −15.6589 | − | 4.19579i | −0.804344 | − | 0.215523i | −0.166854 | − | 0.985982i | \(-0.553361\pi\) |
−0.637490 | + | 0.770458i | \(0.720027\pi\) | |||||||
\(380\) | 6.74089 | + | 3.89185i | 0.345800 | + | 0.199648i | ||||
\(381\) | 16.9351 | + | 23.8755i | 0.867610 | + | 1.22318i | ||||
\(382\) | −2.23135 | − | 8.32750i | −0.114166 | − | 0.426072i | ||||
\(383\) | −1.88172 | + | 7.02266i | −0.0961512 | + | 0.358841i | −0.997191 | − | 0.0748943i | \(-0.976138\pi\) |
0.901040 | + | 0.433735i | \(0.142805\pi\) | |||||||
\(384\) | 1.62396 | − | 0.602280i | 0.0828726 | − | 0.0307350i | ||||
\(385\) | −4.11911 | + | 15.3727i | −0.209929 | + | 0.783467i | ||||
\(386\) | −14.8927 | − | 8.59830i | −0.758018 | − | 0.437642i | ||||
\(387\) | 2.74077 | + | 14.5098i | 0.139321 | + | 0.737576i | ||||
\(388\) | −2.21607 | + | 8.27047i | −0.112504 | + | 0.419869i | ||||
\(389\) | 12.0896 | + | 20.9397i | 0.612965 | + | 1.06169i | 0.990738 | + | 0.135788i | \(0.0433566\pi\) |
−0.377773 | + | 0.925898i | \(0.623310\pi\) | |||||||
\(390\) | 6.84918 | − | 12.5773i | 0.346822 | − | 0.636874i | ||||
\(391\) | 9.98992 | − | 17.3030i | 0.505212 | − | 0.875053i | ||||
\(392\) | 7.32714 | + | 7.32714i | 0.370077 | + | 0.370077i | ||||
\(393\) | −8.16308 | + | 17.7873i | −0.411773 | + | 0.897251i | ||||
\(394\) | 9.31468i | 0.469267i | ||||||||
\(395\) | 26.3755 | + | 26.3755i | 1.32710 | + | 1.32710i | ||||
\(396\) | 4.12755 | + | 2.81598i | 0.207417 | + | 0.141508i | ||||
\(397\) | −16.2930 | + | 4.36571i | −0.817724 | + | 0.219109i | −0.643351 | − | 0.765571i | \(-0.722457\pi\) |
−0.174373 | + | 0.984680i | \(0.555790\pi\) | |||||||
\(398\) | −6.57603 | − | 1.76204i | −0.329626 | − | 0.0883231i | ||||
\(399\) | 22.2637 | + | 10.2174i | 1.11458 | + | 0.511510i | ||||
\(400\) | − | 0.258937i | − | 0.0129469i | ||||||
\(401\) | 14.4886 | − | 14.4886i | 0.723524 | − | 0.723524i | −0.245798 | − | 0.969321i | \(-0.579050\pi\) |
0.969321 | + | 0.245798i | \(0.0790498\pi\) | |||||||
\(402\) | −21.8573 | − | 10.0309i | −1.09014 | − | 0.500297i | ||||
\(403\) | 6.41085 | − | 5.58867i | 0.319347 | − | 0.278391i | ||||
\(404\) | 16.7511i | 0.833401i | ||||||||
\(405\) | −16.6138 | + | 12.2457i | −0.825544 | + | 0.608493i | ||||
\(406\) | −10.9104 | − | 18.8974i | −0.541474 | − | 0.937861i | ||||
\(407\) | −7.84998 | −0.389109 | ||||||||
\(408\) | 6.39705 | − | 2.37247i | 0.316701 | − | 0.117455i | ||||
\(409\) | −16.5616 | − | 4.43768i | −0.818921 | − | 0.219429i | −0.175046 | − | 0.984560i | \(-0.556007\pi\) |
−0.643875 | + | 0.765131i | \(0.722674\pi\) | |||||||
\(410\) | −9.04957 | − | 2.42482i | −0.446926 | − | 0.119754i | ||||
\(411\) | −20.6789 | − | 17.1385i | −1.02002 | − | 0.845382i | ||||
\(412\) | 8.71964 | 0.429586 | ||||||||
\(413\) | −18.0419 | − | 31.2495i | −0.887785 | − | 1.53769i | ||||
\(414\) | −13.7115 | + | 6.59789i | −0.673882 | + | 0.324269i | ||||
\(415\) | − | 17.9466i | − | 0.880964i | ||||||
\(416\) | 3.53834 | − | 0.692936i | 0.173481 | − | 0.0339740i | ||||
\(417\) | 25.2656 | − | 17.9210i | 1.23726 | − | 0.877597i | ||||
\(418\) | −3.99742 | + | 3.99742i | −0.195520 | + | 0.195520i | ||||
\(419\) | 27.7250i | 1.35446i | 0.735773 | + | 0.677228i | \(0.236819\pi\) | ||||
−0.735773 | + | 0.677228i | \(0.763181\pi\) | |||||||
\(420\) | −1.54268 | − | 16.4785i | −0.0752749 | − | 0.804066i | ||||
\(421\) | 28.1804 | + | 7.55093i | 1.37343 | + | 0.368010i | 0.868731 | − | 0.495285i | \(-0.164936\pi\) |
0.504700 | + | 0.863295i | \(0.331603\pi\) | |||||||
\(422\) | −16.7500 | + | 4.48816i | −0.815380 | + | 0.218480i | ||||
\(423\) | −13.6015 | − | 1.02351i | −0.661328 | − | 0.0497647i | ||||
\(424\) | −4.73466 | − | 4.73466i | −0.229935 | − | 0.229935i | ||||
\(425\) | − | 1.01999i | − | 0.0494770i | ||||||
\(426\) | −14.0674 | − | 19.8327i | −0.681569 | − | 0.960895i | ||||
\(427\) | 34.2440 | + | 34.2440i | 1.65718 | + | 1.65718i | ||||
\(428\) | 5.08268 | − | 8.80347i | 0.245681 | − | 0.425532i | ||||
\(429\) | 7.53594 | + | 7.16919i | 0.363839 | + | 0.346132i | ||||
\(430\) | 5.64381 | + | 9.77537i | 0.272169 | + | 0.471410i | ||||
\(431\) | 0.105936 | − | 0.395359i | 0.00510277 | − | 0.0190438i | −0.963328 | − | 0.268328i | \(-0.913529\pi\) |
0.968430 | + | 0.249285i | \(0.0801955\pi\) | |||||||
\(432\) | −5.04279 | − | 1.25311i | −0.242621 | − | 0.0602902i | ||||
\(433\) | 16.7881 | + | 9.69262i | 0.806785 | + | 0.465798i | 0.845838 | − | 0.533440i | \(-0.179101\pi\) |
−0.0390532 | + | 0.999237i | \(0.512434\pi\) | |||||||
\(434\) | 2.54385 | − | 9.49379i | 0.122109 | − | 0.455716i | ||||
\(435\) | −3.48741 | + | 20.5063i | −0.167209 | + | 0.983202i | ||||
\(436\) | 0.773431 | − | 2.88648i | 0.0370406 | − | 0.138237i | ||||
\(437\) | −4.45577 | − | 16.6291i | −0.213148 | − | 0.795480i | ||||
\(438\) | −6.75545 | + | 14.7201i | −0.322788 | + | 0.703353i | ||||
\(439\) | 14.8206 | + | 8.55666i | 0.707348 | + | 0.408387i | 0.810078 | − | 0.586322i | \(-0.199425\pi\) |
−0.102731 | + | 0.994709i | \(0.532758\pi\) | |||||||
\(440\) | 3.68935 | + | 0.988558i | 0.175883 | + | 0.0471276i | ||||
\(441\) | −5.76991 | − | 30.5463i | −0.274758 | − | 1.45458i | ||||
\(442\) | 13.9381 | − | 2.72958i | 0.662966 | − | 0.129833i | ||||
\(443\) | 2.12505 | − | 1.22690i | 0.100964 | − | 0.0582916i | −0.448668 | − | 0.893699i | \(-0.648101\pi\) |
0.549632 | + | 0.835407i | \(0.314768\pi\) | |||||||
\(444\) | 7.65399 | − | 2.83864i | 0.363242 | − | 0.134716i | ||||
\(445\) | −21.2705 | −1.00832 | ||||||||
\(446\) | −13.4021 | − | 23.2131i | −0.634606 | − | 1.09917i | ||||
\(447\) | −7.01428 | − | 1.19289i | −0.331764 | − | 0.0564216i | ||||
\(448\) | 2.94637 | − | 2.94637i | 0.139203 | − | 0.139203i | ||||
\(449\) | 1.17970 | + | 4.40270i | 0.0556735 | + | 0.207776i | 0.988160 | − | 0.153429i | \(-0.0490318\pi\) |
−0.932486 | + | 0.361206i | \(0.882365\pi\) | |||||||
\(450\) | −0.437791 | + | 0.641697i | −0.0206377 | + | 0.0302499i | ||||
\(451\) | 3.40222 | − | 5.89281i | 0.160204 | − | 0.277482i | ||||
\(452\) | −9.32231 | + | 16.1467i | −0.438484 | + | 0.759477i | ||||
\(453\) | −6.06324 | − | 1.03115i | −0.284876 | − | 0.0484475i | ||||
\(454\) | −5.94413 | − | 3.43185i | −0.278972 | − | 0.161065i | ||||
\(455\) | 2.35508 | − | 34.3720i | 0.110408 | − | 1.61139i | ||||
\(456\) | 2.45211 | − | 5.34312i | 0.114830 | − | 0.250215i | ||||
\(457\) | −2.23930 | − | 8.35718i | −0.104750 | − | 0.390933i | 0.893567 | − | 0.448931i | \(-0.148195\pi\) |
−0.998317 | + | 0.0579980i | \(0.981528\pi\) | |||||||
\(458\) | −15.4393 | + | 8.91386i | −0.721429 | + | 0.416517i | ||||
\(459\) | −19.8643 | − | 4.93619i | −0.927188 | − | 0.230402i | ||||
\(460\) | −8.22475 | + | 8.22475i | −0.383481 | + | 0.383481i | ||||
\(461\) | 13.6214 | + | 13.6214i | 0.634412 | + | 0.634412i | 0.949171 | − | 0.314760i | \(-0.101924\pi\) |
−0.314760 | + | 0.949171i | \(0.601924\pi\) | |||||||
\(462\) | 11.8503 | + | 2.01532i | 0.551324 | + | 0.0937611i | ||||
\(463\) | 3.25146 | − | 0.871225i | 0.151108 | − | 0.0404893i | −0.182472 | − | 0.983211i | \(-0.558410\pi\) |
0.333580 | + | 0.942722i | \(0.391743\pi\) | |||||||
\(464\) | −4.53523 | + | 2.61842i | −0.210543 | + | 0.121557i | ||||
\(465\) | −7.64201 | + | 5.42052i | −0.354390 | + | 0.251371i | ||||
\(466\) | 13.3403 | − | 3.57452i | 0.617976 | − | 0.165586i | ||||
\(467\) | −25.8396 | −1.19571 | −0.597856 | − | 0.801604i | \(-0.703981\pi\) | ||||
−0.597856 | + | 0.801604i | \(0.703981\pi\) | |||||||
\(468\) | −9.94026 | − | 4.26513i | −0.459489 | − | 0.197155i | ||||
\(469\) | −57.8550 | −2.67150 | ||||||||
\(470\) | −10.0713 | + | 2.69859i | −0.464554 | + | 0.124477i | ||||
\(471\) | 12.9534 | + | 5.94467i | 0.596861 | + | 0.273916i | ||||
\(472\) | −7.49966 | + | 4.32993i | −0.345200 | + | 0.199301i | ||||
\(473\) | −7.91870 | + | 2.12181i | −0.364102 | + | 0.0975609i | ||||
\(474\) | 17.9775 | − | 21.6912i | 0.825733 | − | 0.996309i | ||||
\(475\) | −0.621465 | − | 0.621465i | −0.0285148 | − | 0.0285148i | ||||
\(476\) | 11.6062 | − | 11.6062i | 0.531969 | − | 0.531969i | ||||
\(477\) | 3.72840 | + | 19.7384i | 0.170712 | + | 0.903759i | ||||
\(478\) | 19.2334 | − | 11.1044i | 0.879713 | − | 0.507903i | ||||
\(479\) | 5.25832 | + | 19.6243i | 0.240259 | + | 0.896657i | 0.975708 | + | 0.219077i | \(0.0703047\pi\) |
−0.735449 | + | 0.677580i | \(0.763029\pi\) | |||||||
\(480\) | −3.95471 | + | 0.370231i | −0.180507 | + | 0.0168987i | ||||
\(481\) | 16.6767 | − | 3.26591i | 0.760393 | − | 0.148913i | ||||
\(482\) | 8.60879 | + | 4.97029i | 0.392119 | + | 0.226390i | ||||
\(483\) | −23.3589 | + | 28.1843i | −1.06287 | + | 1.28243i | ||||
\(484\) | 4.11298 | − | 7.12389i | 0.186954 | − | 0.323813i | ||||
\(485\) | 9.81760 | − | 17.0046i | 0.445794 | − | 0.772138i | ||||
\(486\) | 10.3784 | + | 11.6314i | 0.470772 | + | 0.527612i | ||||
\(487\) | −9.75089 | − | 36.3908i | −0.441855 | − | 1.64902i | −0.724109 | − | 0.689685i | \(-0.757749\pi\) |
0.282255 | − | 0.959340i | \(-0.408918\pi\) | |||||||
\(488\) | 8.21832 | − | 8.21832i | 0.372026 | − | 0.372026i | ||||
\(489\) | −9.27903 | − | 25.0196i | −0.419612 | − | 1.13143i | ||||
\(490\) | −11.8814 | − | 20.5792i | −0.536748 | − | 0.929675i | ||||
\(491\) | 25.8129 | 1.16492 | 0.582459 | − | 0.812860i | \(-0.302091\pi\) | ||||
0.582459 | + | 0.812860i | \(0.302091\pi\) | |||||||
\(492\) | −1.18637 | + | 6.97597i | −0.0534857 | + | 0.314501i | ||||
\(493\) | −17.8650 | + | 10.3144i | −0.804599 | + | 0.464535i | ||||
\(494\) | 6.82914 | − | 10.1553i | 0.307258 | − | 0.456909i | ||||
\(495\) | −7.47155 | − | 8.68751i | −0.335821 | − | 0.390474i | ||||
\(496\) | −2.27844 | − | 0.610507i | −0.102305 | − | 0.0274126i | ||||
\(497\) | −50.6581 | − | 29.2475i | −2.27233 | − | 1.31193i | ||||
\(498\) | −13.4958 | + | 1.26345i | −0.604762 | + | 0.0566164i | ||||
\(499\) | −4.92584 | − | 18.3835i | −0.220511 | − | 0.822958i | −0.984153 | − | 0.177319i | \(-0.943258\pi\) |
0.763642 | − | 0.645639i | \(-0.223409\pi\) | |||||||
\(500\) | 2.81398 | − | 10.5019i | 0.125845 | − | 0.469660i | ||||
\(501\) | −4.51672 | − | 3.74342i | −0.201792 | − | 0.167244i | ||||
\(502\) | 2.22961 | − | 8.32102i | 0.0995123 | − | 0.371385i | ||||
\(503\) | 2.59687 | + | 1.49930i | 0.115789 | + | 0.0668507i | 0.556776 | − | 0.830663i | \(-0.312038\pi\) |
−0.440987 | + | 0.897513i | \(0.645372\pi\) | |||||||
\(504\) | −12.2832 | + | 2.32018i | −0.547136 | + | 0.103349i | ||||
\(505\) | 9.94237 | − | 37.1054i | 0.442430 | − | 1.65117i | ||||
\(506\) | −4.22392 | − | 7.31604i | −0.187776 | − | 0.325238i | ||||
\(507\) | −18.9923 | − | 12.0952i | −0.843476 | − | 0.537166i | ||||
\(508\) | 8.45004 | − | 14.6359i | 0.374910 | − | 0.649363i | ||||
\(509\) | 16.7482 | + | 16.7482i | 0.742351 | + | 0.742351i | 0.973030 | − | 0.230679i | \(-0.0740947\pi\) |
−0.230679 | + | 0.973030i | \(0.574095\pi\) | |||||||
\(510\) | −15.5782 | + | 1.45840i | −0.689815 | + | 0.0645790i | ||||
\(511\) | 38.9632i | 1.72363i | ||||||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −15.1105 | + | 9.09547i | −0.667147 | + | 0.401575i | ||||
\(514\) | −12.9164 | + | 3.46095i | −0.569720 | + | 0.152656i | ||||
\(515\) | −19.3149 | − | 5.17540i | −0.851114 | − | 0.228055i | ||||
\(516\) | 6.95373 | − | 4.93233i | 0.306121 | − | 0.217134i | ||||
\(517\) | − | 7.57267i | − | 0.333046i | ||||||
\(518\) | 13.8867 | − | 13.8867i | 0.610145 | − | 0.610145i | ||||
\(519\) | −1.38699 | − | 14.8155i | −0.0608823 | − | 0.650329i | ||||
\(520\) | −8.24904 | − | 0.565203i | −0.361745 | − | 0.0247858i | ||||
\(521\) | 9.92644i | 0.434885i | 0.976073 | + | 0.217443i | \(0.0697715\pi\) | ||||
−0.976073 | + | 0.217443i | \(0.930229\pi\) | |||||||
\(522\) | 15.6662 | + | 1.17888i | 0.685692 | + | 0.0515980i | ||||
\(523\) | 8.91409 | + | 15.4397i | 0.389786 | + | 0.675129i | 0.992421 | − | 0.122888i | \(-0.0392157\pi\) |
−0.602635 | + | 0.798017i | \(0.705882\pi\) | |||||||
\(524\) | 11.2993 | 0.493613 | ||||||||
\(525\) | −0.313315 | + | 1.84232i | −0.0136742 | + | 0.0804055i | ||||
\(526\) | −4.14200 | − | 1.10984i | −0.180600 | − | 0.0483915i | ||||
\(527\) | −8.97514 | − | 2.40488i | −0.390963 | − | 0.104758i | ||||
\(528\) | 0.483662 | − | 2.84398i | 0.0210487 | − | 0.123768i | ||||
\(529\) | 2.72632 | 0.118536 | ||||||||
\(530\) | 7.67755 | + | 13.2979i | 0.333491 | + | 0.577624i | ||||
\(531\) | 25.9063 | + | 1.94944i | 1.12424 | + | 0.0845986i | ||||
\(532\) | − | 14.1429i | − | 0.613173i | ||||||
\(533\) | −4.77612 | + | 13.9343i | −0.206877 | + | 0.603563i | ||||
\(534\) | 1.49745 | + | 15.9954i | 0.0648010 | + | 0.692187i | ||||
\(535\) | −16.4838 | + | 16.4838i | −0.712656 | + | 0.712656i | ||||
\(536\) | 13.8848i | 0.599732i | ||||||||
\(537\) | 14.2057 | − | 10.0762i | 0.613020 | − | 0.434819i | ||||
\(538\) | −14.6311 | − | 3.92038i | −0.630790 | − | 0.169020i | ||||
\(539\) | 16.6706 | − | 4.46686i | 0.718052 | − | 0.192401i | ||||
\(540\) | 10.4265 | + | 5.76882i | 0.448685 | + | 0.248251i | ||||
\(541\) | 29.6359 | + | 29.6359i | 1.27415 | + | 1.27415i | 0.943891 | + | 0.330258i | \(0.107136\pi\) |
0.330258 | + | 0.943891i | \(0.392864\pi\) | |||||||
\(542\) | 3.52791i | 0.151537i | ||||||||
\(543\) | 8.02872 | − | 0.751631i | 0.344545 | − | 0.0322556i | ||||
\(544\) | −2.78540 | − | 2.78540i | −0.119423 | − | 0.119423i | ||||
\(545\) | −3.42645 | + | 5.93478i | −0.146773 | + | 0.254218i | ||||
\(546\) | −26.0135 | + | 0.648786i | −1.11328 | + | 0.0277655i | ||||
\(547\) | −11.2632 | − | 19.5084i | −0.481580 | − | 0.834120i | 0.518197 | − | 0.855261i | \(-0.326603\pi\) |
−0.999777 | + | 0.0211411i | \(0.993270\pi\) | |||||||
\(548\) | −4.01336 | + | 14.9781i | −0.171442 | + | 0.639831i | ||||
\(549\) | −34.2615 | + | 6.47169i | −1.46225 | + | 0.276205i | ||||
\(550\) | −0.373492 | − | 0.215636i | −0.0159258 | − | 0.00919474i | ||||
\(551\) | −4.60048 | + | 17.1692i | −0.195987 | + | 0.731433i | ||||
\(552\) | 6.76402 | + | 5.60597i | 0.287896 | + | 0.238606i | ||||
\(553\) | 17.5414 | − | 65.4655i | 0.745937 | − | 2.78387i | ||||
\(554\) | 5.68146 | + | 21.2035i | 0.241382 | + | 0.900850i | ||||
\(555\) | −18.6392 | + | 1.74496i | −0.791188 | + | 0.0740692i | ||||
\(556\) | −15.4880 | − | 8.94201i | −0.656838 | − | 0.379226i | ||||
\(557\) | 43.1111 | + | 11.5516i | 1.82668 | + | 0.489457i | 0.997572 | − | 0.0696359i | \(-0.0221838\pi\) |
0.829105 | + | 0.559093i | \(0.188850\pi\) | |||||||
\(558\) | 4.61422 | + | 5.36517i | 0.195336 | + | 0.227126i | ||||
\(559\) | 15.9400 | − | 7.80214i | 0.674189 | − | 0.329996i | ||||
\(560\) | −8.27525 | + | 4.77772i | −0.349693 | + | 0.201896i | ||||
\(561\) | 1.90522 | − | 11.2029i | 0.0804385 | − | 0.472986i | ||||
\(562\) | 1.28538 | 0.0542207 | ||||||||
\(563\) | 0.917730 | + | 1.58956i | 0.0386777 | + | 0.0669918i | 0.884716 | − | 0.466130i | \(-0.154352\pi\) |
−0.846039 | + | 0.533122i | \(0.821019\pi\) | |||||||
\(564\) | 2.73836 | + | 7.38361i | 0.115306 | + | 0.310906i | ||||
\(565\) | 30.2334 | − | 30.2334i | 1.27193 | − | 1.27193i | ||||
\(566\) | −3.21417 | − | 11.9955i | −0.135102 | − | 0.504206i | ||||
\(567\) | 34.3629 | + | 15.0176i | 1.44310 | + | 0.630679i | ||||
\(568\) | −7.01918 | + | 12.1576i | −0.294518 | + | 0.510121i | ||||
\(569\) | 2.95160 | − | 5.11231i | 0.123737 | − | 0.214319i | −0.797501 | − | 0.603317i | \(-0.793845\pi\) |
0.921239 | + | 0.388998i | \(0.127179\pi\) | |||||||
\(570\) | −8.60297 | + | 10.3801i | −0.360339 | + | 0.434776i | ||||
\(571\) | −6.53279 | − | 3.77171i | −0.273389 | − | 0.157841i | 0.357038 | − | 0.934090i | \(-0.383787\pi\) |
−0.630427 | + | 0.776249i | \(0.717120\pi\) | |||||||
\(572\) | 1.94714 | − | 5.68078i | 0.0814140 | − | 0.237525i | ||||
\(573\) | 14.8675 | − | 1.39186i | 0.621097 | − | 0.0581457i | ||||
\(574\) | 4.40588 | + | 16.4430i | 0.183898 | + | 0.686317i | ||||
\(575\) | 1.13740 | − | 0.656679i | 0.0474329 | − | 0.0273854i | ||||
\(576\) | 0.556826 | + | 2.94787i | 0.0232011 | + | 0.122828i | ||||
\(577\) | −9.95468 | + | 9.95468i | −0.414419 | + | 0.414419i | −0.883275 | − | 0.468856i | \(-0.844666\pi\) |
0.468856 | + | 0.883275i | \(0.344666\pi\) | |||||||
\(578\) | 1.04867 | + | 1.04867i | 0.0436190 | + | 0.0436190i | ||||
\(579\) | 19.0066 | − | 22.9329i | 0.789888 | − | 0.953058i | ||||
\(580\) | 11.6001 | − | 3.10824i | 0.481668 | − | 0.129063i | ||||
\(581\) | −28.2401 | + | 16.3044i | −1.17159 | + | 0.676421i | ||||
\(582\) | −13.4786 | − | 6.18569i | −0.558705 | − | 0.256405i | ||||
\(583\) | −10.7722 | + | 2.88640i | −0.446139 | + | 0.119542i | ||||
\(584\) | 9.35088 | 0.386942 | ||||||||
\(585\) | 19.4871 | + | 15.3475i | 0.805694 | + | 0.634543i | ||||
\(586\) | 8.16192 | 0.337166 | ||||||||
\(587\) | −7.62913 | + | 2.04422i | −0.314888 | + | 0.0843739i | −0.412802 | − | 0.910821i | \(-0.635450\pi\) |
0.0979138 | + | 0.995195i | \(0.468783\pi\) | |||||||
\(588\) | −14.6391 | + | 10.3836i | −0.603706 | + | 0.428212i | ||||
\(589\) | −6.93365 | + | 4.00315i | −0.285696 | + | 0.164947i | ||||
\(590\) | 19.1824 | − | 5.13992i | 0.789728 | − | 0.211607i | ||||
\(591\) | −15.9051 | − | 2.70491i | −0.654250 | − | 0.111265i | ||||
\(592\) | −3.33270 | − | 3.33270i | −0.136973 | − | 0.136973i | ||||
\(593\) | 17.4187 | − | 17.4187i | 0.715300 | − | 0.715300i | −0.252339 | − | 0.967639i | \(-0.581200\pi\) |
0.967639 | + | 0.252339i | \(0.0811998\pi\) | |||||||
\(594\) | −6.00699 | + | 6.23019i | −0.246470 | + | 0.255628i | ||||
\(595\) | −32.5975 | + | 18.8202i | −1.33637 | + | 0.771552i | ||||
\(596\) | 1.06319 | + | 3.96787i | 0.0435499 | + | 0.162530i | ||||
\(597\) | 4.91837 | − | 10.7171i | 0.201296 | − | 0.438622i | ||||
\(598\) | 12.0172 | + | 13.7851i | 0.491420 | + | 0.563715i | ||||
\(599\) | 41.2663 | + | 23.8251i | 1.68610 | + | 0.973468i | 0.957460 | + | 0.288566i | \(0.0931783\pi\) |
0.728635 | + | 0.684902i | \(0.240155\pi\) | |||||||
\(600\) | 0.442144 | + | 0.0751934i | 0.0180504 | + | 0.00306976i | ||||
\(601\) | 14.5212 | − | 25.1515i | 0.592334 | − | 1.02595i | −0.401583 | − | 0.915822i | \(-0.631540\pi\) |
0.993917 | − | 0.110130i | \(-0.0351267\pi\) | |||||||
\(602\) | 10.2548 | − | 17.7618i | 0.417953 | − | 0.723915i | ||||
\(603\) | 23.4754 | − | 34.4092i | 0.955991 | − | 1.40125i | ||||
\(604\) | 0.919034 | + | 3.42988i | 0.0373949 | + | 0.139560i | ||||
\(605\) | −13.3389 | + | 13.3389i | −0.542304 | + | 0.542304i | ||||
\(606\) | −28.6032 | − | 4.86441i | −1.16192 | − | 0.197603i | ||||
\(607\) | 8.21069 | + | 14.2213i | 0.333262 | + | 0.577226i | 0.983149 | − | 0.182804i | \(-0.0585174\pi\) |
−0.649888 | + | 0.760030i | \(0.725184\pi\) | |||||||
\(608\) | −3.39420 | −0.137653 | ||||||||
\(609\) | 35.4362 | − | 13.1422i | 1.43595 | − | 0.532550i | ||||
\(610\) | −23.0822 | + | 13.3265i | −0.934572 | + | 0.539575i | ||||
\(611\) | 3.15054 | + | 16.0876i | 0.127457 | + | 0.650835i | ||||
\(612\) | 2.19343 | + | 11.6121i | 0.0886640 | + | 0.469392i | ||||
\(613\) | −19.6188 | − | 5.25684i | −0.792396 | − | 0.212322i | −0.160153 | − | 0.987092i | \(-0.551199\pi\) |
−0.632243 | + | 0.774770i | \(0.717865\pi\) | |||||||
\(614\) | 17.6605 | + | 10.1963i | 0.712719 | + | 0.411488i | ||||
\(615\) | 6.76840 | − | 14.7483i | 0.272928 | − | 0.594709i | ||||
\(616\) | −1.79620 | − | 6.70351i | −0.0723710 | − | 0.270092i | ||||
\(617\) | −8.27870 | + | 30.8965i | −0.333288 | + | 1.24385i | 0.572425 | + | 0.819957i | \(0.306003\pi\) |
−0.905713 | + | 0.423891i | \(0.860664\pi\) | |||||||
\(618\) | −2.53212 | + | 14.8891i | −0.101857 | + | 0.598927i | ||||
\(619\) | −9.90270 | + | 36.9574i | −0.398023 | + | 1.48544i | 0.418546 | + | 0.908196i | \(0.362540\pi\) |
−0.816569 | + | 0.577247i | \(0.804127\pi\) | |||||||
\(620\) | 4.68461 | + | 2.70466i | 0.188139 | + | 0.108622i | ||||
\(621\) | −7.28442 | − | 25.3288i | −0.292314 | − | 1.01641i | ||||
\(622\) | 1.32468 | − | 4.94377i | 0.0531148 | − | 0.198227i | ||||
\(623\) | 19.3241 | + | 33.4704i | 0.774205 | + | 1.34096i | ||||
\(624\) | 0.155704 | + | 6.24306i | 0.00623315 | + | 0.249922i | ||||
\(625\) | −13.1138 | + | 22.7138i | −0.524553 | + | 0.908552i | ||||
\(626\) | 3.56862 | + | 3.56862i | 0.142631 | + | 0.142631i | ||||
\(627\) | −5.66490 | − | 7.98654i | −0.226234 | − | 0.318952i | ||||
\(628\) | − | 8.22860i | − | 0.328357i | ||||||
\(629\) | −13.1280 | − | 13.1280i | −0.523449 | − | 0.523449i | ||||
\(630\) | 28.5855 | + | 2.15105i | 1.13887 | + | 0.0856998i | ||||
\(631\) | 16.0911 | − | 4.31160i | 0.640577 | − | 0.171642i | 0.0761122 | − | 0.997099i | \(-0.475749\pi\) |
0.564465 | + | 0.825457i | \(0.309083\pi\) | |||||||
\(632\) | −15.7112 | − | 4.20981i | −0.624960 | − | 0.167457i | ||||
\(633\) | −2.79960 | − | 29.9046i | −0.111274 | − | 1.18860i | ||||
\(634\) | − | 6.34943i | − | 0.252168i | ||||||
\(635\) | −27.4046 | + | 27.4046i | −1.08752 | + | 1.08752i | ||||
\(636\) | 9.45949 | − | 6.70968i | 0.375093 | − | 0.266056i | ||||
\(637\) | −33.5571 | + | 16.4252i | −1.32958 | + | 0.650789i | ||||
\(638\) | 8.72220i | 0.345315i | ||||||||
\(639\) | 37.9500 | − | 18.2614i | 1.50128 | − | 0.722408i | ||||
\(640\) | 1.14662 | + | 1.98600i | 0.0453241 | + | 0.0785036i | ||||
\(641\) | −31.7007 | −1.25210 | −0.626051 | − | 0.779782i | \(-0.715330\pi\) | ||||
−0.626051 | + | 0.779782i | \(0.715330\pi\) | |||||||
\(642\) | 13.5562 | + | 11.2353i | 0.535022 | + | 0.443422i | ||||
\(643\) | −1.39852 | − | 0.374733i | −0.0551524 | − | 0.0147780i | 0.231137 | − | 0.972921i | \(-0.425755\pi\) |
−0.286290 | + | 0.958143i | \(0.592422\pi\) | |||||||
\(644\) | 20.4143 | + | 5.46999i | 0.804436 | + | 0.215548i | ||||
\(645\) | −18.3307 | + | 6.79831i | −0.721770 | + | 0.267683i | ||||
\(646\) | −13.3703 | −0.526047 | ||||||||
\(647\) | −9.55687 | − | 16.5530i | −0.375719 | − | 0.650765i | 0.614715 | − | 0.788749i | \(-0.289271\pi\) |
−0.990434 | + | 0.137984i | \(0.955938\pi\) | |||||||
\(648\) | 3.60411 | − | 8.24684i | 0.141583 | − | 0.323966i | ||||
\(649\) | 14.4234i | 0.566168i | ||||||||
\(650\) | 0.883172 | + | 0.302715i | 0.0346409 | + | 0.0118735i | ||||
\(651\) | 15.4723 | + | 7.10064i | 0.606405 | + | 0.278296i | ||||
\(652\) | −10.8941 | + | 10.8941i | −0.426644 | + | 0.426644i | ||||
\(653\) | − | 42.3769i | − | 1.65834i | −0.558998 | − | 0.829169i | \(-0.688814\pi\) | ||
0.558998 | − | 0.829169i | \(-0.311186\pi\) | |||||||
\(654\) | 4.70417 | + | 2.15887i | 0.183948 | + | 0.0844186i | ||||
\(655\) | −25.0291 | − | 6.70653i | −0.977968 | − | 0.262046i | ||||
\(656\) | 3.94620 | − | 1.05738i | 0.154073 | − | 0.0412838i | ||||
\(657\) | −23.1733 | − | 15.8098i | −0.904077 | − | 0.616797i | ||||
\(658\) | 13.3961 | + | 13.3961i | 0.522235 | + | 0.522235i | ||||
\(659\) | 7.55088i | 0.294141i | 0.989126 | + | 0.147070i | \(0.0469844\pi\) | ||||
−0.989126 | + | 0.147070i | \(0.953016\pi\) | |||||||
\(660\) | −2.75935 | + | 6.01262i | −0.107408 | + | 0.234041i | ||||
\(661\) | 12.5495 | + | 12.5495i | 0.488119 | + | 0.488119i | 0.907712 | − | 0.419593i | \(-0.137827\pi\) |
−0.419593 | + | 0.907712i | \(0.637827\pi\) | |||||||
\(662\) | 1.43579 | − | 2.48687i | 0.0558037 | − | 0.0966549i | ||||
\(663\) | 0.613343 | + | 24.5924i | 0.0238203 | + | 0.955089i | ||||
\(664\) | 3.91294 | + | 6.77741i | 0.151852 | + | 0.263015i | ||||
\(665\) | −8.39430 | + | 31.3279i | −0.325517 | + | 1.21485i | ||||
\(666\) | 2.62441 | + | 13.8938i | 0.101694 | + | 0.538373i | ||||
\(667\) | −23.0032 | − | 13.2809i | −0.890688 | − | 0.514239i | ||||
\(668\) | −0.876603 | + | 3.27153i | −0.0339168 | + | 0.126579i | ||||
\(669\) | 43.5289 | − | 16.1436i | 1.68293 | − | 0.624147i | ||||
\(670\) | 8.24109 | − | 30.7562i | 0.318381 | − | 1.18821i | ||||
\(671\) | −5.01015 | − | 18.6981i | −0.193415 | − | 0.721834i | ||||
\(672\) | 4.17542 | + | 5.88662i | 0.161070 | + | 0.227081i | ||||
\(673\) | 0.980093 | + | 0.565857i | 0.0377798 | + | 0.0218122i | 0.518771 | − | 0.854913i | \(-0.326390\pi\) |
−0.480991 | + | 0.876725i | \(0.659723\pi\) | |||||||
\(674\) | 12.7657 | + | 3.42056i | 0.491716 | + | 0.131755i | ||||
\(675\) | −0.968587 | − | 0.933887i | −0.0372810 | − | 0.0359453i | ||||
\(676\) | −1.77313 | + | 12.8785i | −0.0681972 | + | 0.495327i | ||||
\(677\) | 6.04206 | − | 3.48838i | 0.232215 | − | 0.134070i | −0.379378 | − | 0.925242i | \(-0.623862\pi\) |
0.611594 | + | 0.791172i | \(0.290529\pi\) | |||||||
\(678\) | −24.8639 | − | 20.6070i | −0.954893 | − | 0.791408i | ||||
\(679\) | −35.6770 | −1.36916 | ||||||||
\(680\) | 4.51671 | + | 7.82317i | 0.173208 | + | 0.300005i | ||||
\(681\) | 7.58613 | − | 9.15323i | 0.290701 | − | 0.350753i | ||||
\(682\) | −2.77802 | + | 2.77802i | −0.106376 | + | 0.106376i | ||||
\(683\) | −0.848566 | − | 3.16689i | −0.0324695 | − | 0.121178i | 0.947789 | − | 0.318898i | \(-0.103313\pi\) |
−0.980258 | + | 0.197721i | \(0.936646\pi\) | |||||||
\(684\) | 8.41149 | + | 5.73866i | 0.321621 | + | 0.219423i | ||||
\(685\) | 17.7800 | − | 30.7958i | 0.679337 | − | 1.17665i | ||||
\(686\) | −7.00468 | + | 12.1325i | −0.267440 | + | 0.463219i | ||||
\(687\) | −10.7373 | − | 28.9516i | −0.409653 | − | 1.10457i | ||||
\(688\) | −4.26269 | − | 2.46107i | −0.162514 | − | 0.0938273i | ||||
\(689\) | 21.6839 | − | 10.6136i | 0.826091 | − | 0.404347i | ||||
\(690\) | −11.6556 | − | 16.4324i | −0.443723 | − | 0.625573i | ||||
\(691\) | −1.83951 | − | 6.86513i | −0.0699781 | − | 0.261162i | 0.922070 | − | 0.387024i | \(-0.126497\pi\) |
−0.992048 | + | 0.125862i | \(0.959830\pi\) | |||||||
\(692\) | −7.44014 | + | 4.29557i | −0.282832 | + | 0.163293i | ||||
\(693\) | −6.88245 | + | 19.6495i | −0.261443 | + | 0.746422i | ||||
\(694\) | 2.82191 | − | 2.82191i | 0.107118 | − | 0.107118i | ||||
\(695\) | 29.0001 | + | 29.0001i | 1.10004 | + | 1.10004i | ||||
\(696\) | −3.15404 | − | 8.50444i | −0.119554 | − | 0.322360i | ||||
\(697\) | 15.5447 | − | 4.16519i | 0.588797 | − | 0.157768i | ||||
\(698\) | −14.0231 | + | 8.09625i | −0.530783 | + | 0.306448i | ||||
\(699\) | 2.22969 | + | 23.8170i | 0.0843347 | + | 0.900841i | ||||
\(700\) | 1.04217 | − | 0.279249i | 0.0393904 | − | 0.0105546i | ||||
\(701\) | −44.5315 | −1.68193 | −0.840966 | − | 0.541088i | \(-0.818013\pi\) | ||||
−0.840966 | + | 0.541088i | \(0.818013\pi\) | |||||||
\(702\) | 10.1694 | − | 15.7348i | 0.383820 | − | 0.593870i | ||||
\(703\) | −15.9974 | −0.603353 | ||||||||
\(704\) | −1.60879 | + | 0.431075i | −0.0606337 | + | 0.0162468i | ||||
\(705\) | −1.68331 | − | 17.9807i | −0.0633973 | − | 0.677193i | ||||
\(706\) | 1.53760 | − | 0.887736i | 0.0578685 | − | 0.0334104i | ||||
\(707\) | −67.4202 | + | 18.0652i | −2.53560 | + | 0.679411i | ||||
\(708\) | −5.21566 | − | 14.0633i | −0.196016 | − | 0.528531i | ||||
\(709\) | −3.89552 | − | 3.89552i | −0.146299 | − | 0.146299i | 0.630163 | − | 0.776463i | \(-0.282988\pi\) |
−0.776463 | + | 0.630163i | \(0.782988\pi\) | |||||||
\(710\) | 22.7641 | − | 22.7641i | 0.854321 | − | 0.854321i | ||||
\(711\) | 31.8179 | + | 36.9961i | 1.19326 | + | 1.38746i | ||||
\(712\) | 8.03265 | − | 4.63765i | 0.301036 | − | 0.173803i | ||||
\(713\) | −3.09656 | − | 11.5565i | −0.115967 | − | 0.432795i | ||||
\(714\) | 16.4476 | + | 23.1883i | 0.615537 | + | 0.867801i | ||||
\(715\) | −7.68484 | + | 11.4278i | −0.287397 | + | 0.427375i | ||||
\(716\) | −8.70818 | − | 5.02767i | −0.325440 | − | 0.187893i | ||||
\(717\) | 13.3759 | + | 36.0662i | 0.499532 | + | 1.34692i | ||||
\(718\) | 3.82116 | − | 6.61845i | 0.142605 | − | 0.246998i | ||||
\(719\) | −0.0565881 | + | 0.0980135i | −0.00211038 | + | 0.00365529i | −0.867079 | − | 0.498171i | \(-0.834005\pi\) |
0.864968 | + | 0.501827i | \(0.167338\pi\) | |||||||
\(720\) | 0.516236 | − | 6.86032i | 0.0192390 | − | 0.255669i | ||||
\(721\) | 9.40365 | + | 35.0949i | 0.350210 | + | 1.30700i | ||||
\(722\) | 5.28874 | − | 5.28874i | 0.196826 | − | 0.196826i | ||||
\(723\) | −10.9869 | + | 13.2565i | −0.408606 | + | 0.493013i | ||||
\(724\) | −2.32783 | − | 4.03191i | −0.0865130 | − | 0.149845i | ||||
\(725\) | −1.35601 | −0.0503610 | ||||||||
\(726\) | 10.9699 | + | 9.09177i | 0.407131 | + | 0.337427i | ||||
\(727\) | 6.21671 | − | 3.58922i | 0.230565 | − | 0.133117i | −0.380268 | − | 0.924876i | \(-0.624168\pi\) |
0.610833 | + | 0.791760i | \(0.290835\pi\) | |||||||
\(728\) | 6.60484 | + | 13.4939i | 0.244792 | + | 0.500115i | ||||
\(729\) | −22.8748 | + | 14.3437i | −0.847216 | + | 0.531249i | ||||
\(730\) | −20.7131 | − | 5.55006i | −0.766626 | − | 0.205417i | ||||
\(731\) | −16.7914 | − | 9.69453i | −0.621053 | − | 0.358565i | ||||
\(732\) | 11.6465 | + | 16.4196i | 0.430468 | + | 0.606886i | ||||
\(733\) | 3.64360 | + | 13.5981i | 0.134579 | + | 0.502257i | 0.999999 | + | 0.00120982i | \(0.000385098\pi\) |
−0.865420 | + | 0.501047i | \(0.832948\pi\) | |||||||
\(734\) | −5.93100 | + | 22.1348i | −0.218917 | + | 0.817009i | ||||
\(735\) | 38.5900 | − | 14.3119i | 1.42341 | − | 0.527902i | ||||
\(736\) | 1.31276 | − | 4.89928i | 0.0483889 | − | 0.180590i | ||||
\(737\) | 20.0275 | + | 11.5629i | 0.737723 | + | 0.425924i | ||||
\(738\) | −11.5672 | − | 4.05154i | −0.425794 | − | 0.149139i | ||||
\(739\) | 0.395975 | − | 1.47780i | 0.0145662 | − | 0.0543618i | −0.958260 | − | 0.285897i | \(-0.907708\pi\) |
0.972826 | + | 0.231536i | \(0.0743750\pi\) | |||||||
\(740\) | 5.40419 | + | 9.36033i | 0.198662 | + | 0.344093i | ||||
\(741\) | 15.3574 | + | 14.6100i | 0.564169 | + | 0.536713i | ||||
\(742\) | 13.9500 | − | 24.1622i | 0.512122 | − | 0.887021i | ||||
\(743\) | −28.1201 | − | 28.1201i | −1.03163 | − | 1.03163i | −0.999483 | − | 0.0321446i | \(-0.989766\pi\) |
−0.0321446 | − | 0.999483i | \(-0.510234\pi\) | |||||||
\(744\) | 1.70410 | − | 3.71323i | 0.0624754 | − | 0.136134i | ||||
\(745\) | − | 9.42025i | − | 0.345131i | ||||||
\(746\) | 8.75107 | + | 8.75107i | 0.320400 | + | 0.320400i | ||||
\(747\) | 1.76170 | − | 23.4115i | 0.0644573 | − | 0.856580i | ||||
\(748\) | −6.33729 | + | 1.69807i | −0.231714 | + | 0.0620877i | ||||
\(749\) | 40.9137 | + | 10.9628i | 1.49495 | + | 0.400572i | ||||
\(750\) | 17.1152 | + | 7.85464i | 0.624959 | + | 0.286811i | ||||
\(751\) | 4.17861i | 0.152480i | 0.997090 | + | 0.0762399i | \(0.0242915\pi\) | ||||
−0.997090 | + | 0.0762399i | \(0.975709\pi\) | |||||||
\(752\) | 3.21497 | − | 3.21497i | 0.117238 | − | 0.117238i | ||||
\(753\) | 13.5610 | + | 6.22349i | 0.494189 | + | 0.226797i | ||||
\(754\) | −3.62879 | − | 18.5297i | −0.132153 | − | 0.674812i | ||||
\(755\) | − | 8.14299i | − | 0.296354i | ||||||
\(756\) | −0.394845 | − | 21.6477i | −0.0143604 | − | 0.787318i | ||||
\(757\) | 13.7536 | + | 23.8220i | 0.499884 | + | 0.865824i | 1.00000 | 0.000134418i | \(-4.27865e-5\pi\) | |
−0.500116 | + | 0.865958i | \(0.666709\pi\) | |||||||
\(758\) | −16.2113 | −0.588821 | ||||||||
\(759\) | 13.7190 | − | 5.08796i | 0.497968 | − | 0.184681i | ||||
\(760\) | 7.51848 | + | 2.01457i | 0.272724 | + | 0.0730762i | ||||
\(761\) | −41.1552 | − | 11.0275i | −1.49187 | − | 0.399746i | −0.581505 | − | 0.813543i | \(-0.697536\pi\) |
−0.910369 | + | 0.413797i | \(0.864202\pi\) | |||||||
\(762\) | 22.5375 | + | 18.6789i | 0.816446 | + | 0.676665i | ||||
\(763\) | 12.4516 | 0.450780 | ||||||||
\(764\) | −4.31063 | − | 7.46624i | −0.155953 | − | 0.270119i | ||||
\(765\) | 2.03353 | − | 27.0239i | 0.0735226 | − | 0.977050i | ||||
\(766\) | 7.27039i | 0.262690i | ||||||||
\(767\) | −6.00073 | − | 30.6415i | −0.216674 | − | 1.10640i | ||||
\(768\) | 1.41275 | − | 1.00207i | 0.0509781 | − | 0.0361591i | ||||
\(769\) | −0.716149 | + | 0.716149i | −0.0258250 | + | 0.0258250i | −0.719901 | − | 0.6 |