Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.7 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29913 | − | 0.558792i | −0.918627 | − | 0.395125i | ||||
\(3\) | 1.06350 | − | 1.36711i | 0.614010 | − | 0.789299i | ||||
\(4\) | 1.37550 | + | 1.45189i | 0.687752 | + | 0.725946i | ||||
\(5\) | 1.51671 | − | 1.64305i | 0.678292 | − | 0.734793i | ||||
\(6\) | −2.14555 | + | 1.18178i | −0.875918 | + | 0.482460i | ||||
\(7\) | − | 1.88972i | − | 0.714245i | −0.934057 | − | 0.357123i | \(-0.883758\pi\) | ||
0.934057 | − | 0.357123i | \(-0.116242\pi\) | |||||||
\(8\) | −0.975659 | − | 2.65482i | −0.344948 | − | 0.938622i | ||||
\(9\) | −0.737954 | − | 2.90782i | −0.245985 | − | 0.969274i | ||||
\(10\) | −2.88853 | + | 1.28702i | −0.913432 | + | 0.406990i | ||||
\(11\) | −3.00660 | + | 2.18442i | −0.906523 | + | 0.658628i | −0.940133 | − | 0.340807i | \(-0.889300\pi\) |
0.0336099 | + | 0.999435i | \(0.489300\pi\) | |||||||
\(12\) | 3.44773 | − | 0.336377i | 0.995274 | − | 0.0971037i | ||||
\(13\) | 1.87647 | + | 1.36333i | 0.520438 | + | 0.378120i | 0.816769 | − | 0.576965i | \(-0.195763\pi\) |
−0.296331 | + | 0.955085i | \(0.595763\pi\) | |||||||
\(14\) | −1.05596 | + | 2.45500i | −0.282217 | + | 0.656125i | ||||
\(15\) | −0.633207 | − | 3.82087i | −0.163493 | − | 0.986544i | ||||
\(16\) | −0.215981 | + | 3.99416i | −0.0539952 | + | 0.998541i | ||||
\(17\) | 5.42228 | − | 1.76180i | 1.31510 | − | 0.427300i | 0.434287 | − | 0.900774i | \(-0.357000\pi\) |
0.880808 | + | 0.473474i | \(0.157000\pi\) | |||||||
\(18\) | −0.666165 | + | 4.19001i | −0.157017 | + | 0.987596i | ||||
\(19\) | 0.894947 | − | 0.290786i | 0.205315 | − | 0.0667108i | −0.204554 | − | 0.978855i | \(-0.565574\pi\) |
0.409869 | + | 0.912144i | \(0.365574\pi\) | |||||||
\(20\) | 4.47176 | − | 0.0579224i | 0.999916 | − | 0.0129519i | ||||
\(21\) | −2.58344 | − | 2.00970i | −0.563753 | − | 0.438553i | ||||
\(22\) | 5.12661 | − | 1.15780i | 1.09300 | − | 0.246843i | ||||
\(23\) | −4.58028 | + | 3.32777i | −0.955054 | + | 0.693887i | −0.951997 | − | 0.306108i | \(-0.900973\pi\) |
−0.00305715 | + | 0.999995i | \(0.500973\pi\) | |||||||
\(24\) | −4.66703 | − | 1.48956i | −0.952654 | − | 0.304056i | ||||
\(25\) | −0.399204 | − | 4.98404i | −0.0798408 | − | 0.996808i | ||||
\(26\) | −1.67596 | − | 2.81971i | −0.328684 | − | 0.552990i | ||||
\(27\) | −4.76011 | − | 2.08359i | −0.916083 | − | 0.400988i | ||||
\(28\) | 2.74366 | − | 2.59931i | 0.518504 | − | 0.491223i | ||||
\(29\) | −4.43170 | − | 1.43995i | −0.822947 | − | 0.267392i | −0.132875 | − | 0.991133i | \(-0.542421\pi\) |
−0.690072 | + | 0.723741i | \(0.742421\pi\) | |||||||
\(30\) | −1.31245 | + | 5.31766i | −0.239619 | + | 0.970867i | ||||
\(31\) | 0.681127 | − | 0.221312i | 0.122334 | − | 0.0397488i | −0.247210 | − | 0.968962i | \(-0.579514\pi\) |
0.369544 | + | 0.929213i | \(0.379514\pi\) | |||||||
\(32\) | 2.51249 | − | 5.06827i | 0.444151 | − | 0.895952i | ||||
\(33\) | −0.211170 | + | 6.43346i | −0.0367600 | + | 1.11992i | ||||
\(34\) | −8.02875 | − | 0.741102i | −1.37692 | − | 0.127098i | ||||
\(35\) | −3.10489 | − | 2.86614i | −0.524822 | − | 0.484467i | ||||
\(36\) | 3.20678 | − | 5.07115i | 0.534464 | − | 0.845191i | ||||
\(37\) | 3.22240 | + | 2.34121i | 0.529759 | + | 0.384893i | 0.820268 | − | 0.571980i | \(-0.193824\pi\) |
−0.290508 | + | 0.956872i | \(0.593824\pi\) | |||||||
\(38\) | −1.32515 | − | 0.122319i | −0.214967 | − | 0.0198427i | ||||
\(39\) | 3.85943 | − | 1.11543i | 0.618004 | − | 0.178612i | ||||
\(40\) | −5.84179 | − | 2.42353i | −0.923668 | − | 0.383194i | ||||
\(41\) | −4.79706 | + | 6.60258i | −0.749174 | + | 1.03115i | 0.248863 | + | 0.968539i | \(0.419943\pi\) |
−0.998038 | + | 0.0626117i | \(0.980057\pi\) | |||||||
\(42\) | 2.23323 | + | 4.05448i | 0.344595 | + | 0.625620i | ||||
\(43\) | − | 1.32683i | − | 0.202340i | −0.994869 | − | 0.101170i | \(-0.967741\pi\) | ||
0.994869 | − | 0.101170i | \(-0.0322586\pi\) | |||||||
\(44\) | −7.30713 | − | 1.36058i | −1.10159 | − | 0.205115i | ||||
\(45\) | −5.89694 | − | 3.19782i | −0.879065 | − | 0.476703i | ||||
\(46\) | 7.80993 | − | 1.76380i | 1.15151 | − | 0.260058i | ||||
\(47\) | 2.90966 | − | 8.95502i | 0.424418 | − | 1.30622i | −0.479133 | − | 0.877742i | \(-0.659049\pi\) |
0.903551 | − | 0.428481i | \(-0.140951\pi\) | |||||||
\(48\) | 5.23075 | + | 4.54305i | 0.754994 | + | 0.655732i | ||||
\(49\) | 3.42897 | 0.489854 | ||||||||
\(50\) | −2.26642 | + | 6.69801i | −0.320520 | + | 0.947242i | ||||
\(51\) | 3.35800 | − | 9.28649i | 0.470213 | − | 1.30037i | ||||
\(52\) | 0.601674 | + | 4.59969i | 0.0834372 | + | 0.637863i | ||||
\(53\) | 5.10504 | + | 1.65873i | 0.701231 | + | 0.227844i | 0.637867 | − | 0.770147i | \(-0.279817\pi\) |
0.0633644 | + | 0.997990i | \(0.479817\pi\) | |||||||
\(54\) | 5.01973 | + | 5.36678i | 0.683098 | + | 0.730326i | ||||
\(55\) | −0.971020 | + | 8.25311i | −0.130932 | + | 1.11285i | ||||
\(56\) | −5.01686 | + | 1.84372i | −0.670406 | + | 0.246377i | ||||
\(57\) | 0.554237 | − | 1.53274i | 0.0734105 | − | 0.203016i | ||||
\(58\) | 4.95275 | + | 4.34709i | 0.650328 | + | 0.570800i | ||||
\(59\) | 9.81063 | + | 7.12784i | 1.27724 | + | 0.927966i | 0.999466 | − | 0.0326823i | \(-0.0104049\pi\) |
0.277769 | + | 0.960648i | \(0.410405\pi\) | |||||||
\(60\) | 4.67651 | − | 6.17497i | 0.603735 | − | 0.797185i | ||||
\(61\) | 4.71625 | − | 3.42655i | 0.603853 | − | 0.438725i | −0.243391 | − | 0.969928i | \(-0.578260\pi\) |
0.847245 | + | 0.531203i | \(0.178260\pi\) | |||||||
\(62\) | −1.00854 | − | 0.0930946i | −0.128085 | − | 0.0118230i | ||||
\(63\) | −5.49496 | + | 1.39452i | −0.692299 | + | 0.175693i | ||||
\(64\) | −6.09618 | + | 5.18041i | −0.762022 | + | 0.647551i | ||||
\(65\) | 5.08607 | − | 1.01535i | 0.630849 | − | 0.125938i | ||||
\(66\) | 3.86930 | − | 8.23993i | 0.476278 | − | 1.01427i | ||||
\(67\) | 7.58723 | − | 2.46524i | 0.926928 | − | 0.301177i | 0.193622 | − | 0.981076i | \(-0.437976\pi\) |
0.733306 | + | 0.679899i | \(0.237976\pi\) | |||||||
\(68\) | 10.0163 | + | 5.44919i | 1.21466 | + | 0.660812i | ||||
\(69\) | −0.321699 | + | 9.80079i | −0.0387279 | + | 1.17988i | ||||
\(70\) | 2.43209 | + | 5.45850i | 0.290691 | + | 0.652415i | ||||
\(71\) | −1.63958 | + | 5.04610i | −0.194582 | + | 0.598862i | 0.805399 | + | 0.592733i | \(0.201951\pi\) |
−0.999981 | + | 0.00612939i | \(0.998049\pi\) | |||||||
\(72\) | −6.99976 | + | 4.79618i | −0.824930 | + | 0.565235i | ||||
\(73\) | −11.4882 | + | 8.34665i | −1.34459 | + | 0.976902i | −0.345328 | + | 0.938482i | \(0.612232\pi\) |
−0.999262 | + | 0.0384200i | \(0.987768\pi\) | |||||||
\(74\) | −2.87808 | − | 4.84220i | −0.334570 | − | 0.562894i | ||||
\(75\) | −7.23826 | − | 4.75475i | −0.835802 | − | 0.549031i | ||||
\(76\) | 1.65319 | + | 0.899389i | 0.189634 | + | 0.103167i | ||||
\(77\) | 4.12793 | + | 5.68161i | 0.470422 | + | 0.647480i | ||||
\(78\) | −5.63722 | − | 0.707527i | −0.638289 | − | 0.0801117i | ||||
\(79\) | −5.35719 | − | 1.74066i | −0.602731 | − | 0.195839i | −0.00827286 | − | 0.999966i | \(-0.502633\pi\) |
−0.594458 | + | 0.804127i | \(0.702633\pi\) | |||||||
\(80\) | 6.23502 | + | 6.41284i | 0.697096 | + | 0.716977i | ||||
\(81\) | −7.91085 | + | 4.29167i | −0.878983 | + | 0.476853i | ||||
\(82\) | 9.92149 | − | 5.89709i | 1.09565 | − | 0.651225i | ||||
\(83\) | 3.67198 | + | 11.3012i | 0.403053 | + | 1.24047i | 0.922510 | + | 0.385972i | \(0.126134\pi\) |
−0.519458 | + | 0.854496i | \(0.673866\pi\) | |||||||
\(84\) | −0.635657 | − | 6.51523i | −0.0693559 | − | 0.710870i | ||||
\(85\) | 5.32927 | − | 11.5812i | 0.578041 | − | 1.25616i | ||||
\(86\) | −0.741423 | + | 1.72373i | −0.0799497 | + | 0.185875i | ||||
\(87\) | −6.68166 | + | 4.52723i | −0.716349 | + | 0.485370i | ||||
\(88\) | 8.73267 | + | 5.85074i | 0.930905 | + | 0.623691i | ||||
\(89\) | 9.99539 | + | 13.7575i | 1.05951 | + | 1.45829i | 0.880263 | + | 0.474485i | \(0.157366\pi\) |
0.179246 | + | 0.983804i | \(0.442634\pi\) | |||||||
\(90\) | 5.87401 | + | 7.44956i | 0.619175 | + | 0.785253i | ||||
\(91\) | 2.57631 | − | 3.54599i | 0.270071 | − | 0.371720i | ||||
\(92\) | −11.1317 | − | 2.07271i | −1.16056 | − | 0.216095i | ||||
\(93\) | 0.421820 | − | 1.16654i | 0.0437407 | − | 0.120964i | ||||
\(94\) | −8.78403 | + | 10.0079i | −0.906004 | + | 1.03223i | ||||
\(95\) | 0.879597 | − | 1.91148i | 0.0902447 | − | 0.196113i | ||||
\(96\) | −4.25683 | − | 8.82493i | −0.434461 | − | 0.900691i | ||||
\(97\) | −3.00786 | + | 9.25724i | −0.305402 | + | 0.939931i | 0.674125 | + | 0.738617i | \(0.264521\pi\) |
−0.979527 | + | 0.201313i | \(0.935479\pi\) | |||||||
\(98\) | −4.45470 | − | 1.91608i | −0.449993 | − | 0.193554i | ||||
\(99\) | 8.57064 | + | 7.13065i | 0.861381 | + | 0.716657i | ||||
\(100\) | 6.68718 | − | 7.43516i | 0.668718 | − | 0.743516i | ||||
\(101\) | − | 10.7687i | − | 1.07152i | −0.844370 | − | 0.535761i | \(-0.820025\pi\) | ||
0.844370 | − | 0.535761i | \(-0.179975\pi\) | |||||||
\(102\) | −9.55171 | + | 10.1880i | −0.945760 | + | 1.00876i | ||||
\(103\) | 7.11822 | + | 2.31285i | 0.701379 | + | 0.227892i | 0.637931 | − | 0.770093i | \(-0.279790\pi\) |
0.0634476 | + | 0.997985i | \(0.479790\pi\) | |||||||
\(104\) | 1.78862 | − | 6.31183i | 0.175388 | − | 0.618926i | ||||
\(105\) | −7.22036 | + | 1.19658i | −0.704635 | + | 0.116774i | ||||
\(106\) | −5.70525 | − | 5.00757i | −0.554143 | − | 0.486378i | ||||
\(107\) | 4.63196 | 0.447788 | 0.223894 | − | 0.974613i | \(-0.428123\pi\) | ||||
0.223894 | + | 0.974613i | \(0.428123\pi\) | |||||||
\(108\) | −3.52239 | − | 9.77716i | −0.338942 | − | 0.940807i | ||||
\(109\) | −10.8765 | − | 7.90224i | −1.04178 | − | 0.756898i | −0.0711480 | − | 0.997466i | \(-0.522666\pi\) |
−0.970632 | + | 0.240568i | \(0.922666\pi\) | |||||||
\(110\) | 5.87325 | − | 10.1793i | 0.559993 | − | 0.970558i | ||||
\(111\) | 6.62769 | − | 1.91549i | 0.629073 | − | 0.181811i | ||||
\(112\) | 7.54784 | + | 0.408142i | 0.713203 | + | 0.0385658i | ||||
\(113\) | 8.15282 | − | 11.2214i | 0.766953 | − | 1.05562i | −0.229651 | − | 0.973273i | \(-0.573759\pi\) |
0.996604 | − | 0.0823467i | \(-0.0262415\pi\) | |||||||
\(114\) | −1.57651 | + | 1.68153i | −0.147654 | + | 0.157489i | ||||
\(115\) | −1.47926 | + | 12.5729i | −0.137942 | + | 1.17242i | ||||
\(116\) | −4.00517 | − | 8.41501i | −0.371871 | − | 0.781314i | ||||
\(117\) | 2.57958 | − | 6.46250i | 0.238482 | − | 0.597459i | ||||
\(118\) | −8.76235 | − | 14.7421i | −0.806640 | − | 1.35712i | ||||
\(119\) | −3.32931 | − | 10.2466i | −0.305197 | − | 0.939301i | ||||
\(120\) | −9.52594 | + | 5.40892i | −0.869596 | + | 0.493765i | ||||
\(121\) | 0.868747 | − | 2.67373i | 0.0789770 | − | 0.243066i | ||||
\(122\) | −8.04177 | + | 1.81616i | −0.728068 | + | 0.164427i | ||||
\(123\) | 3.92478 | + | 13.5799i | 0.353885 | + | 1.22446i | ||||
\(124\) | 1.25821 | + | 0.684508i | 0.112991 | + | 0.0614707i | ||||
\(125\) | −8.79448 | − | 6.90341i | −0.786602 | − | 0.617460i | ||||
\(126\) | 7.91794 | + | 1.25886i | 0.705386 | + | 0.112148i | ||||
\(127\) | −7.31225 | − | 10.0645i | −0.648857 | − | 0.893076i | 0.350191 | − | 0.936678i | \(-0.386117\pi\) |
−0.999049 | + | 0.0436024i | \(0.986117\pi\) | |||||||
\(128\) | 10.8145 | − | 3.32355i | 0.955878 | − | 0.293763i | ||||
\(129\) | −1.81392 | − | 1.41108i | −0.159707 | − | 0.124239i | ||||
\(130\) | −7.17485 | − | 1.52298i | −0.629276 | − | 0.133574i | ||||
\(131\) | 6.97547 | + | 21.4683i | 0.609450 | + | 1.87569i | 0.462688 | + | 0.886521i | \(0.346885\pi\) |
0.146761 | + | 0.989172i | \(0.453115\pi\) | |||||||
\(132\) | −9.63115 | + | 8.54265i | −0.838284 | + | 0.743542i | ||||
\(133\) | −0.549503 | − | 1.69119i | −0.0476479 | − | 0.146645i | ||||
\(134\) | −11.2344 | − | 1.03700i | −0.970504 | − | 0.0895833i | ||||
\(135\) | −10.6431 | + | 4.66088i | −0.916015 | + | 0.401145i | ||||
\(136\) | −9.96757 | − | 12.6763i | −0.854712 | − | 1.08698i | ||||
\(137\) | −2.48465 | + | 3.41983i | −0.212278 | + | 0.292176i | −0.901857 | − | 0.432035i | \(-0.857796\pi\) |
0.689579 | + | 0.724211i | \(0.257796\pi\) | |||||||
\(138\) | 5.89453 | − | 12.5528i | 0.501776 | − | 1.06856i | ||||
\(139\) | 2.28995 | + | 3.15184i | 0.194231 | + | 0.267336i | 0.895013 | − | 0.446039i | \(-0.147166\pi\) |
−0.700783 | + | 0.713375i | \(0.747166\pi\) | |||||||
\(140\) | −0.109457 | − | 8.45036i | −0.00925080 | − | 0.714185i | ||||
\(141\) | −9.14804 | − | 13.5014i | −0.770404 | − | 1.13703i | ||||
\(142\) | 4.94976 | − | 5.63939i | 0.415374 | − | 0.473247i | ||||
\(143\) | −8.61987 | −0.720830 | ||||||||
\(144\) | 11.7737 | − | 2.31947i | 0.981142 | − | 0.193290i | ||||
\(145\) | −9.08749 | + | 5.09752i | −0.754675 | + | 0.423326i | ||||
\(146\) | 19.5887 | − | 4.42393i | 1.62118 | − | 0.366127i | ||||
\(147\) | 3.64670 | − | 4.68777i | 0.300775 | − | 0.386641i | ||||
\(148\) | 1.03324 | + | 7.89892i | 0.0849316 | + | 0.649287i | ||||
\(149\) | 8.91865i | 0.730644i | 0.930881 | + | 0.365322i | \(0.119041\pi\) | ||||
−0.930881 | + | 0.365322i | \(0.880959\pi\) | |||||||
\(150\) | 6.74656 | + | 10.2217i | 0.550854 | + | 0.834602i | ||||
\(151\) | 17.3632i | 1.41300i | 0.707714 | + | 0.706499i | \(0.249726\pi\) | ||||
−0.707714 | + | 0.706499i | \(0.750274\pi\) | |||||||
\(152\) | −1.64515 | − | 2.09222i | −0.133439 | − | 0.169701i | ||||
\(153\) | −9.12440 | − | 14.4669i | −0.737664 | − | 1.16958i | ||||
\(154\) | −2.18790 | − | 9.68784i | −0.176306 | − | 0.780668i | ||||
\(155\) | 0.669445 | − | 1.45479i | 0.0537711 | − | 0.116851i | ||||
\(156\) | 6.92814 | + | 4.06920i | 0.554696 | + | 0.325797i | ||||
\(157\) | 1.93514 | 0.154441 | 0.0772203 | − | 0.997014i | \(-0.475396\pi\) | ||||
0.0772203 | + | 0.997014i | \(0.475396\pi\) | |||||||
\(158\) | 5.98705 | + | 5.25490i | 0.476304 | + | 0.418057i | ||||
\(159\) | 7.69685 | − | 5.21508i | 0.610400 | − | 0.413583i | ||||
\(160\) | −4.51669 | − | 11.8152i | −0.357076 | − | 0.934076i | ||||
\(161\) | 6.28853 | + | 8.65542i | 0.495606 | + | 0.682143i | ||||
\(162\) | 12.6754 | − | 1.15495i | 0.995875 | − | 0.0907412i | ||||
\(163\) | 3.10062 | − | 4.26763i | 0.242859 | − | 0.334267i | −0.670135 | − | 0.742239i | \(-0.733764\pi\) |
0.912994 | + | 0.407972i | \(0.133764\pi\) | |||||||
\(164\) | −16.1846 | + | 2.11707i | −1.26381 | + | 0.165315i | ||||
\(165\) | 10.2502 | + | 10.1046i | 0.797976 | + | 0.786644i | ||||
\(166\) | 1.54462 | − | 16.7337i | 0.119886 | − | 1.29878i | ||||
\(167\) | −6.56911 | − | 20.2176i | −0.508333 | − | 1.56449i | −0.795094 | − | 0.606486i | \(-0.792579\pi\) |
0.286762 | − | 0.958002i | \(-0.407421\pi\) | |||||||
\(168\) | −2.81485 | + | 8.81937i | −0.217171 | + | 0.680429i | ||||
\(169\) | −2.35477 | − | 7.24724i | −0.181136 | − | 0.557480i | ||||
\(170\) | −13.3949 | + | 12.0676i | −1.02734 | + | 0.925541i | ||||
\(171\) | −1.50598 | − | 2.38776i | −0.115165 | − | 0.182596i | ||||
\(172\) | 1.92642 | − | 1.82506i | 0.146888 | − | 0.139160i | ||||
\(173\) | −7.72169 | − | 10.6280i | −0.587069 | − | 0.808032i | 0.407379 | − | 0.913259i | \(-0.366443\pi\) |
−0.994448 | + | 0.105228i | \(0.966443\pi\) | |||||||
\(174\) | 11.2102 | − | 2.14782i | 0.849840 | − | 0.162826i | ||||
\(175\) | −9.41841 | + | 0.754382i | −0.711965 | + | 0.0570260i | ||||
\(176\) | −8.07557 | − | 12.4806i | −0.608719 | − | 0.940764i | ||||
\(177\) | 20.1781 | − | 5.83174i | 1.51668 | − | 0.438340i | ||||
\(178\) | −5.29780 | − | 23.4582i | −0.397087 | − | 1.75826i | ||||
\(179\) | 4.33663 | − | 13.3468i | 0.324135 | − | 0.997584i | −0.647695 | − | 0.761900i | \(-0.724267\pi\) |
0.971830 | − | 0.235684i | \(-0.0757332\pi\) | |||||||
\(180\) | −3.46838 | − | 12.9603i | −0.258518 | − | 0.966006i | ||||
\(181\) | 7.36814 | + | 22.6768i | 0.547669 | + | 1.68555i | 0.714557 | + | 0.699577i | \(0.246628\pi\) |
−0.166888 | + | 0.985976i | \(0.553372\pi\) | |||||||
\(182\) | −5.32844 | + | 3.16710i | −0.394971 | + | 0.234761i | ||||
\(183\) | 0.331248 | − | 10.0917i | 0.0244866 | − | 0.746002i | ||||
\(184\) | 13.3034 | + | 8.91306i | 0.980741 | + | 0.657080i | ||||
\(185\) | 8.73416 | − | 1.74363i | 0.642148 | − | 0.128194i | ||||
\(186\) | −1.19985 | + | 1.27978i | −0.0879774 | + | 0.0938380i | ||||
\(187\) | −12.4541 | + | 17.1416i | −0.910733 | + | 1.25352i | ||||
\(188\) | 17.0040 | − | 8.09314i | 1.24014 | − | 0.590253i | ||||
\(189\) | −3.93740 | + | 8.99525i | −0.286404 | + | 0.654308i | ||||
\(190\) | −2.21083 | + | 1.99175i | −0.160391 | + | 0.144497i | ||||
\(191\) | 3.03786 | + | 2.20713i | 0.219812 | + | 0.159703i | 0.692242 | − | 0.721666i | \(-0.256623\pi\) |
−0.472430 | + | 0.881368i | \(0.656623\pi\) | |||||||
\(192\) | 0.598901 | + | 13.8435i | 0.0432220 | + | 0.999065i | ||||
\(193\) | −16.1804 | −1.16469 | −0.582346 | − | 0.812941i | \(-0.697865\pi\) | ||||
−0.582346 | + | 0.812941i | \(0.697865\pi\) | |||||||
\(194\) | 9.08049 | − | 10.3456i | 0.651941 | − | 0.742774i | ||||
\(195\) | 4.02092 | − | 8.03301i | 0.287944 | − | 0.575255i | ||||
\(196\) | 4.71657 | + | 4.97850i | 0.336898 | + | 0.355607i | ||||
\(197\) | −8.52843 | − | 2.77105i | −0.607625 | − | 0.197429i | −0.0109869 | − | 0.999940i | \(-0.503497\pi\) |
−0.596638 | + | 0.802510i | \(0.703497\pi\) | |||||||
\(198\) | −7.14987 | − | 14.0529i | −0.508119 | − | 0.998694i | ||||
\(199\) | − | 15.5614i | − | 1.10312i | −0.834135 | − | 0.551560i | \(-0.814033\pi\) | ||
0.834135 | − | 0.551560i | \(-0.185967\pi\) | |||||||
\(200\) | −12.8423 | + | 5.92254i | −0.908085 | + | 0.418787i | ||||
\(201\) | 4.69874 | − | 12.9943i | 0.331424 | − | 0.916548i | ||||
\(202\) | −6.01744 | + | 13.9899i | −0.423386 | + | 0.984329i | ||||
\(203\) | −2.72109 | + | 8.37466i | −0.190983 | + | 0.587786i | ||||
\(204\) | 18.1019 | − | 7.89816i | 1.26739 | − | 0.552982i | ||||
\(205\) | 3.57262 | + | 17.8960i | 0.249523 | + | 1.24991i | ||||
\(206\) | −7.95512 | − | 6.98231i | −0.554260 | − | 0.486480i | ||||
\(207\) | 13.0566 | + | 10.8629i | 0.907495 | + | 0.755023i | ||||
\(208\) | −5.85066 | + | 7.20046i | −0.405670 | + | 0.499262i | ||||
\(209\) | −2.05555 | + | 2.82922i | −0.142185 | + | 0.195701i | ||||
\(210\) | 10.0489 | + | 2.48016i | 0.693437 | + | 0.171147i | ||||
\(211\) | 1.76509 | + | 2.42944i | 0.121514 | + | 0.167250i | 0.865440 | − | 0.501012i | \(-0.167039\pi\) |
−0.743926 | + | 0.668262i | \(0.767039\pi\) | |||||||
\(212\) | 4.61371 | + | 9.69355i | 0.316871 | + | 0.665756i | ||||
\(213\) | 5.15487 | + | 7.60799i | 0.353206 | + | 0.521291i | ||||
\(214\) | −6.01754 | − | 2.58830i | −0.411351 | − | 0.176933i | ||||
\(215\) | −2.18005 | − | 2.01241i | −0.148678 | − | 0.137245i | ||||
\(216\) | −0.887334 | + | 14.6701i | −0.0603754 | + | 0.998176i | ||||
\(217\) | −0.418216 | − | 1.28714i | −0.0283904 | − | 0.0873766i | ||||
\(218\) | 9.71434 | + | 16.3438i | 0.657938 | + | 1.10694i | ||||
\(219\) | −0.806879 | + | 24.5822i | −0.0545239 | + | 1.66111i | ||||
\(220\) | −13.3183 | + | 9.94236i | −0.897917 | + | 0.670314i | ||||
\(221\) | 12.5766 | + | 4.08640i | 0.845997 | + | 0.274881i | ||||
\(222\) | −9.68063 | − | 1.21502i | −0.649721 | − | 0.0815465i | ||||
\(223\) | −9.10611 | − | 12.5335i | −0.609790 | − | 0.839304i | 0.386770 | − | 0.922176i | \(-0.373591\pi\) |
−0.996560 | + | 0.0828722i | \(0.973591\pi\) | |||||||
\(224\) | −9.57759 | − | 4.74790i | −0.639930 | − | 0.317232i | ||||
\(225\) | −14.1981 | + | 4.83880i | −0.946540 | + | 0.322587i | ||||
\(226\) | −16.8620 | + | 10.0224i | −1.12165 | + | 0.666678i | ||||
\(227\) | 2.96284 | − | 2.15263i | 0.196651 | − | 0.142875i | −0.485103 | − | 0.874457i | \(-0.661218\pi\) |
0.681753 | + | 0.731582i | \(0.261218\pi\) | |||||||
\(228\) | 2.98772 | − | 1.30359i | 0.197867 | − | 0.0863324i | ||||
\(229\) | −1.38111 | + | 4.25062i | −0.0912663 | + | 0.280889i | −0.986263 | − | 0.165185i | \(-0.947178\pi\) |
0.894996 | + | 0.446073i | \(0.147178\pi\) | |||||||
\(230\) | 8.94737 | − | 15.5072i | 0.589972 | − | 1.02252i | ||||
\(231\) | 12.1574 | + | 0.399052i | 0.799899 | + | 0.0262557i | ||||
\(232\) | 0.501025 | + | 13.1703i | 0.0328939 | + | 0.864672i | ||||
\(233\) | −16.3262 | + | 5.30470i | −1.06956 | + | 0.347522i | −0.790318 | − | 0.612697i | \(-0.790085\pi\) |
−0.279246 | + | 0.960220i | \(0.590085\pi\) | |||||||
\(234\) | −6.96242 | + | 6.95422i | −0.455148 | + | 0.454611i | ||||
\(235\) | −10.3004 | − | 18.3628i | −0.671924 | − | 1.19786i | ||||
\(236\) | 3.14570 | + | 24.0483i | 0.204768 | + | 1.56541i | ||||
\(237\) | −8.07701 | + | 5.47266i | −0.524658 | + | 0.355488i | ||||
\(238\) | −1.40047 | + | 15.1721i | −0.0907791 | + | 0.983458i | ||||
\(239\) | −8.80034 | + | 6.39382i | −0.569246 | + | 0.413582i | −0.834831 | − | 0.550506i | \(-0.814435\pi\) |
0.265585 | + | 0.964087i | \(0.414435\pi\) | |||||||
\(240\) | 15.3979 | − | 1.70390i | 0.993933 | − | 0.109986i | ||||
\(241\) | 9.94346 | + | 7.22434i | 0.640514 | + | 0.465361i | 0.860027 | − | 0.510249i | \(-0.170447\pi\) |
−0.219513 | + | 0.975610i | \(0.570447\pi\) | |||||||
\(242\) | −2.62268 | + | 2.98809i | −0.168592 | + | 0.192081i | ||||
\(243\) | −2.54598 | + | 15.3791i | −0.163325 | + | 0.986572i | ||||
\(244\) | 11.4622 | + | 2.13424i | 0.733792 | + | 0.136631i | ||||
\(245\) | 5.20075 | − | 5.63397i | 0.332264 | − | 0.359941i | ||||
\(246\) | 2.48952 | − | 19.8353i | 0.158726 | − | 1.26465i | ||||
\(247\) | 2.07577 | + | 0.674460i | 0.132078 | + | 0.0429149i | ||||
\(248\) | −1.25209 | − | 1.59235i | −0.0795079 | − | 0.101114i | ||||
\(249\) | 19.3551 | + | 6.99879i | 1.22658 | + | 0.443531i | ||||
\(250\) | 7.56765 | + | 13.8827i | 0.478620 | + | 0.878022i | ||||
\(251\) | −26.4439 | −1.66912 | −0.834561 | − | 0.550916i | \(-0.814278\pi\) | ||||
−0.834561 | + | 0.550916i | \(0.814278\pi\) | |||||||
\(252\) | −9.58303 | − | 6.05991i | −0.603674 | − | 0.381739i | ||||
\(253\) | 6.50181 | − | 20.0105i | 0.408765 | − | 1.25805i | ||||
\(254\) | 3.87567 | + | 17.1611i | 0.243181 | + | 1.07678i | ||||
\(255\) | −10.1650 | − | 19.6022i | −0.636560 | − | 1.22754i | ||||
\(256\) | −15.9067 | − | 1.72533i | −0.994169 | − | 0.107833i | ||||
\(257\) | − | 14.3157i | − | 0.892989i | −0.894786 | − | 0.446495i | \(-0.852672\pi\) | ||
0.894786 | − | 0.446495i | \(-0.147328\pi\) | |||||||
\(258\) | 1.56803 | + | 2.84679i | 0.0976210 | + | 0.177233i | ||||
\(259\) | 4.42422 | − | 6.08942i | 0.274908 | − | 0.378378i | ||||
\(260\) | 8.47008 | + | 5.98781i | 0.525292 | + | 0.371348i | ||||
\(261\) | −0.916719 | + | 13.9492i | −0.0567435 | + | 0.863435i | ||||
\(262\) | 2.93423 | − | 31.7880i | 0.181277 | − | 1.96387i | ||||
\(263\) | −3.26572 | − | 2.37269i | −0.201373 | − | 0.146306i | 0.482529 | − | 0.875880i | \(-0.339718\pi\) |
−0.683902 | + | 0.729574i | \(0.739718\pi\) | |||||||
\(264\) | 17.2857 | − | 5.71624i | 1.06386 | − | 0.351810i | ||||
\(265\) | 10.4682 | − | 5.87202i | 0.643057 | − | 0.360715i | ||||
\(266\) | −0.231148 | + | 2.50415i | −0.0141726 | + | 0.153539i | ||||
\(267\) | 29.4380 | + | 0.966264i | 1.80157 | + | 0.0591344i | ||||
\(268\) | 14.0155 | + | 7.62489i | 0.856134 | + | 0.465764i | ||||
\(269\) | 1.87168 | − | 0.608147i | 0.114119 | − | 0.0370794i | −0.251401 | − | 0.967883i | \(-0.580891\pi\) |
0.365520 | + | 0.930804i | \(0.380891\pi\) | |||||||
\(270\) | 16.4313 | − | 0.107816i | 0.999978 | − | 0.00656148i | ||||
\(271\) | −12.2946 | − | 3.99477i | −0.746846 | − | 0.242665i | −0.0892227 | − | 0.996012i | \(-0.528438\pi\) |
−0.657624 | + | 0.753347i | \(0.728438\pi\) | |||||||
\(272\) | 5.86583 | + | 22.0380i | 0.355668 | + | 1.33625i | ||||
\(273\) | −2.10784 | − | 7.29323i | −0.127572 | − | 0.441406i | ||||
\(274\) | 5.13888 | − | 3.05442i | 0.310451 | − | 0.184524i | ||||
\(275\) | 12.0875 | + | 14.1130i | 0.728903 | + | 0.851044i | ||||
\(276\) | −14.6722 | + | 13.0139i | −0.883162 | + | 0.783347i | ||||
\(277\) | 1.80160 | − | 1.30894i | 0.108247 | − | 0.0786463i | −0.532345 | − | 0.846528i | \(-0.678689\pi\) |
0.640592 | + | 0.767881i | \(0.278689\pi\) | |||||||
\(278\) | −1.21373 | − | 5.37427i | −0.0727945 | − | 0.322327i | ||||
\(279\) | −1.14618 | − | 1.81728i | −0.0686197 | − | 0.108798i | ||||
\(280\) | −4.57979 | + | 11.0393i | −0.273695 | + | 0.659725i | ||||
\(281\) | −17.8381 | + | 5.79595i | −1.06413 | + | 0.345758i | −0.788200 | − | 0.615419i | \(-0.788987\pi\) |
−0.275933 | + | 0.961177i | \(0.588987\pi\) | |||||||
\(282\) | 4.34004 | + | 22.6520i | 0.258446 | + | 1.34891i | ||||
\(283\) | −3.11189 | + | 1.01111i | −0.184983 | + | 0.0601045i | −0.400044 | − | 0.916496i | \(-0.631005\pi\) |
0.215061 | + | 0.976601i | \(0.431005\pi\) | |||||||
\(284\) | −9.58164 | + | 4.56044i | −0.568566 | + | 0.270612i | ||||
\(285\) | −1.67774 | − | 3.23535i | −0.0993808 | − | 0.191645i | ||||
\(286\) | 11.1984 | + | 4.81671i | 0.662174 | + | 0.284818i | ||||
\(287\) | 12.4770 | + | 9.06507i | 0.736494 | + | 0.535094i | ||||
\(288\) | −16.5917 | − | 3.56574i | −0.977677 | − | 0.210113i | ||||
\(289\) | 12.5438 | − | 9.11363i | 0.737873 | − | 0.536096i | ||||
\(290\) | 14.6543 | − | 1.54435i | 0.860532 | − | 0.0906871i | ||||
\(291\) | 9.45678 | + | 13.9571i | 0.554366 | + | 0.818180i | ||||
\(292\) | −27.9205 | − | 5.19875i | −1.63392 | − | 0.304234i | ||||
\(293\) | 19.6875i | 1.15015i | 0.818099 | + | 0.575077i | \(0.195028\pi\) | ||||
−0.818099 | + | 0.575077i | \(0.804972\pi\) | |||||||
\(294\) | −7.35704 | + | 4.05230i | −0.429071 | + | 0.236335i | ||||
\(295\) | 26.5912 | − | 5.30848i | 1.54820 | − | 0.309072i | ||||
\(296\) | 3.07154 | − | 10.8391i | 0.178530 | − | 0.630012i | ||||
\(297\) | 18.8632 | − | 4.13355i | 1.09455 | − | 0.239853i | ||||
\(298\) | 4.98367 | − | 11.5865i | 0.288696 | − | 0.671190i | ||||
\(299\) | −13.1316 | −0.759419 | ||||||||
\(300\) | −3.05286 | − | 17.0493i | −0.176257 | − | 0.984344i | ||||
\(301\) | −2.50733 | −0.144520 | ||||||||
\(302\) | 9.70242 | − | 22.5571i | 0.558311 | − | 1.29802i | ||||
\(303\) | −14.7219 | − | 11.4524i | −0.845751 | − | 0.657925i | ||||
\(304\) | 0.968155 | + | 3.63737i | 0.0555275 | + | 0.208617i | ||||
\(305\) | 1.52317 | − | 12.9461i | 0.0872166 | − | 0.741291i | ||||
\(306\) | 3.76985 | + | 23.8931i | 0.215508 | + | 1.36588i | ||||
\(307\) | − | 18.6787i | − | 1.06605i | −0.846099 | − | 0.533025i | \(-0.821055\pi\) | ||
0.846099 | − | 0.533025i | \(-0.178945\pi\) | |||||||
\(308\) | −2.57110 | + | 13.8084i | −0.146502 | + | 0.786806i | ||||
\(309\) | 10.7321 | − | 7.27165i | 0.610528 | − | 0.413670i | ||||
\(310\) | −1.68262 | + | 1.51589i | −0.0955666 | + | 0.0860966i | ||||
\(311\) | 15.0664 | − | 10.9463i | 0.854334 | − | 0.620710i | −0.0720033 | − | 0.997404i | \(-0.522939\pi\) |
0.926338 | + | 0.376694i | \(0.122939\pi\) | |||||||
\(312\) | −6.72676 | − | 9.15784i | −0.380828 | − | 0.518460i | ||||
\(313\) | −2.30190 | − | 1.67243i | −0.130111 | − | 0.0945311i | 0.520826 | − | 0.853663i | \(-0.325624\pi\) |
−0.650937 | + | 0.759132i | \(0.725624\pi\) | |||||||
\(314\) | −2.51400 | − | 1.08134i | −0.141873 | − | 0.0610234i | ||||
\(315\) | −6.04297 | + | 11.1435i | −0.340483 | + | 0.627868i | ||||
\(316\) | −4.84159 | − | 10.1723i | −0.272361 | − | 0.572239i | ||||
\(317\) | −7.58947 | + | 2.46597i | −0.426267 | + | 0.138503i | −0.514291 | − | 0.857616i | \(-0.671945\pi\) |
0.0880238 | + | 0.996118i | \(0.471945\pi\) | |||||||
\(318\) | −12.9134 | + | 2.47416i | −0.724147 | + | 0.138744i | ||||
\(319\) | 16.4698 | − | 5.35136i | 0.922132 | − | 0.299619i | ||||
\(320\) | −0.734463 | + | 17.8735i | −0.0410577 | + | 0.999157i | ||||
\(321\) | 4.92607 | − | 6.33238i | 0.274946 | − | 0.353439i | ||||
\(322\) | −3.33307 | − | 14.7585i | −0.185745 | − | 0.822461i | ||||
\(323\) | 4.34034 | − | 3.15344i | 0.241503 | − | 0.175462i | ||||
\(324\) | −17.1124 | − | 5.58248i | −0.950692 | − | 0.310138i | ||||
\(325\) | 6.04581 | − | 9.89663i | 0.335361 | − | 0.548966i | ||||
\(326\) | −6.41284 | + | 3.81163i | −0.355174 | + | 0.211107i | ||||
\(327\) | −22.3703 | + | 6.46533i | −1.23708 | + | 0.357533i | ||||
\(328\) | 22.2090 | + | 6.29347i | 1.22629 | + | 0.347499i | ||||
\(329\) | −16.9224 | − | 5.49843i | −0.932964 | − | 0.303138i | ||||
\(330\) | −7.66999 | − | 18.8550i | −0.422219 | − | 1.03793i | ||||
\(331\) | 18.6651 | − | 6.06465i | 1.02593 | − | 0.333343i | 0.252748 | − | 0.967532i | \(-0.418666\pi\) |
0.773178 | + | 0.634189i | \(0.218666\pi\) | |||||||
\(332\) | −11.3573 | + | 20.8762i | −0.623313 | + | 1.14573i | ||||
\(333\) | 4.42984 | − | 11.0979i | 0.242754 | − | 0.608160i | ||||
\(334\) | −2.76329 | + | 29.9362i | −0.151201 | + | 1.63804i | ||||
\(335\) | 7.45709 | − | 16.2052i | 0.407425 | − | 0.885386i | ||||
\(336\) | 8.58506 | − | 9.88463i | 0.468354 | − | 0.539251i | ||||
\(337\) | −22.1246 | − | 16.0745i | −1.20521 | − | 0.875634i | −0.210420 | − | 0.977611i | \(-0.567483\pi\) |
−0.994787 | + | 0.101977i | \(0.967483\pi\) | |||||||
\(338\) | −0.990533 | + | 10.7310i | −0.0538779 | + | 0.583688i | ||||
\(339\) | −6.67034 | − | 23.0797i | −0.362283 | − | 1.25352i | ||||
\(340\) | 24.1451 | − | 8.19244i | 1.30945 | − | 0.444297i | ||||
\(341\) | −1.56444 | + | 2.15326i | −0.0847191 | + | 0.116606i | ||||
\(342\) | 0.622214 | + | 3.94355i | 0.0336455 | + | 0.213243i | ||||
\(343\) | − | 19.7078i | − | 1.06412i | ||||||
\(344\) | −3.52250 | + | 1.29454i | −0.189921 | + | 0.0697967i | ||||
\(345\) | 15.6152 | + | 15.3935i | 0.840696 | + | 0.828757i | ||||
\(346\) | 4.09268 | + | 18.1220i | 0.220024 | + | 0.974246i | ||||
\(347\) | 2.12454 | − | 6.53865i | 0.114051 | − | 0.351013i | −0.877697 | − | 0.479216i | \(-0.840921\pi\) |
0.991748 | + | 0.128203i | \(0.0409209\pi\) | |||||||
\(348\) | −15.7637 | − | 3.47383i | −0.845022 | − | 0.186217i | ||||
\(349\) | 11.9591 | 0.640157 | 0.320079 | − | 0.947391i | \(-0.396291\pi\) | ||||
0.320079 | + | 0.947391i | \(0.396291\pi\) | |||||||
\(350\) | 12.6573 | + | 4.28289i | 0.676563 | + | 0.228930i | ||||
\(351\) | −6.09155 | − | 10.3994i | −0.325143 | − | 0.555079i | ||||
\(352\) | 3.51718 | + | 20.7266i | 0.187466 | + | 1.10473i | ||||
\(353\) | 1.98101 | + | 0.643668i | 0.105438 | + | 0.0342590i | 0.361261 | − | 0.932465i | \(-0.382346\pi\) |
−0.255823 | + | 0.966724i | \(0.582346\pi\) | |||||||
\(354\) | −29.4728 | − | 3.69913i | −1.56646 | − | 0.196606i | ||||
\(355\) | 5.80422 | + | 10.3474i | 0.308056 | + | 0.549181i | ||||
\(356\) | −6.22567 | + | 33.4357i | −0.329960 | + | 1.77209i | ||||
\(357\) | −17.5488 | − | 6.34566i | −0.928783 | − | 0.335848i | ||||
\(358\) | −13.0919 | + | 14.9160i | −0.691930 | + | 0.788334i | ||||
\(359\) | −1.31705 | − | 0.956896i | −0.0695115 | − | 0.0505030i | 0.552487 | − | 0.833522i | \(-0.313679\pi\) |
−0.621998 | + | 0.783019i | \(0.713679\pi\) | |||||||
\(360\) | −2.73624 | + | 18.7753i | −0.144212 | + | 0.989547i | ||||
\(361\) | −14.6549 | + | 10.6474i | −0.771313 | + | 0.560392i | ||||
\(362\) | 3.09940 | − | 33.5775i | 0.162901 | − | 1.76479i | ||||
\(363\) | −2.73136 | − | 4.03117i | −0.143359 | − | 0.211581i | ||||
\(364\) | 8.69212 | − | 1.13699i | 0.455591 | − | 0.0595946i | ||||
\(365\) | −3.71026 | + | 31.5350i | −0.194204 | + | 1.65062i | ||||
\(366\) | −6.06951 | + | 12.9254i | −0.317259 | + | 0.675623i | ||||
\(367\) | −23.9702 | + | 7.78838i | −1.25123 | + | 0.406550i | −0.858362 | − | 0.513044i | \(-0.828518\pi\) |
−0.392870 | + | 0.919594i | \(0.628518\pi\) | |||||||
\(368\) | −12.3024 | − | 19.0131i | −0.641307 | − | 0.991127i | ||||
\(369\) | 22.7391 | + | 9.07658i | 1.18375 | + | 0.472508i | ||||
\(370\) | −12.3212 | − | 2.61537i | −0.640547 | − | 0.135967i | ||||
\(371\) | 3.13452 | − | 9.64708i | 0.162736 | − | 0.500851i | ||||
\(372\) | 2.27390 | − | 0.992139i | 0.117896 | − | 0.0514400i | ||||
\(373\) | 6.35222 | − | 4.61516i | 0.328906 | − | 0.238964i | −0.411060 | − | 0.911608i | \(-0.634842\pi\) |
0.739966 | + | 0.672644i | \(0.234842\pi\) | |||||||
\(374\) | 25.7581 | − | 15.3100i | 1.33192 | − | 0.791660i | ||||
\(375\) | −18.7906 | + | 4.68124i | −0.970342 | + | 0.241738i | ||||
\(376\) | −26.6128 | + | 1.01241i | −1.37245 | + | 0.0522109i | ||||
\(377\) | −6.35281 | − | 8.74390i | −0.327187 | − | 0.450334i | ||||
\(378\) | 10.1417 | − | 9.48586i | 0.521632 | − | 0.487900i | ||||
\(379\) | 1.31828 | + | 0.428335i | 0.0677154 | + | 0.0220021i | 0.342679 | − | 0.939453i | \(-0.388666\pi\) |
−0.274963 | + | 0.961455i | \(0.588666\pi\) | |||||||
\(380\) | 3.98514 | − | 1.35216i | 0.204434 | − | 0.0693645i | ||||
\(381\) | −21.5357 | − | 0.706883i | −1.10331 | − | 0.0362147i | ||||
\(382\) | −2.71326 | − | 4.56489i | −0.138822 | − | 0.233560i | ||||
\(383\) | 1.88607 | + | 5.80473i | 0.0963737 | + | 0.296608i | 0.987609 | − | 0.156933i | \(-0.0501607\pi\) |
−0.891236 | + | 0.453541i | \(0.850161\pi\) | |||||||
\(384\) | 6.95756 | − | 18.3192i | 0.355051 | − | 0.934847i | ||||
\(385\) | 15.5960 | + | 1.83495i | 0.794847 | + | 0.0935178i | ||||
\(386\) | 21.0205 | + | 9.04149i | 1.06992 | + | 0.460200i | ||||
\(387\) | −3.85819 | + | 0.979140i | −0.196123 | + | 0.0497725i | ||||
\(388\) | −17.5778 | + | 8.36628i | −0.892380 | + | 0.424734i | ||||
\(389\) | −17.9783 | − | 24.7450i | −0.911537 | − | 1.25462i | −0.966639 | − | 0.256142i | \(-0.917549\pi\) |
0.0551027 | − | 0.998481i | \(-0.482451\pi\) | |||||||
\(390\) | −9.71250 | + | 8.18910i | −0.491812 | + | 0.414671i | ||||
\(391\) | −18.9727 | + | 26.1136i | −0.959489 | + | 1.32062i | ||||
\(392\) | −3.34551 | − | 9.10332i | −0.168974 | − | 0.459787i | ||||
\(393\) | 36.7678 | + | 13.2952i | 1.85469 | + | 0.670656i | ||||
\(394\) | 9.53113 | + | 8.36559i | 0.480172 | + | 0.421452i | ||||
\(395\) | −10.9853 | + | 6.16205i | −0.552729 | + | 0.310046i | ||||
\(396\) | 1.43601 | + | 22.2519i | 0.0721622 | + | 1.11820i | ||||
\(397\) | −7.19346 | + | 22.1392i | −0.361029 | + | 1.11113i | 0.591401 | + | 0.806378i | \(0.298575\pi\) |
−0.952430 | + | 0.304756i | \(0.901425\pi\) | |||||||
\(398\) | −8.69560 | + | 20.2164i | −0.435871 | + | 1.01336i | ||||
\(399\) | −2.89643 | − | 1.04735i | −0.145003 | − | 0.0524331i | ||||
\(400\) | 19.9933 | − | 0.518031i | 0.999664 | − | 0.0259015i | ||||
\(401\) | − | 0.238849i | − | 0.0119275i | −0.999982 | − | 0.00596376i | \(-0.998102\pi\) | ||
0.999982 | − | 0.00596376i | \(-0.00189834\pi\) | |||||||
\(402\) | −13.3654 | + | 14.2557i | −0.666606 | + | 0.711012i | ||||
\(403\) | 1.57983 | + | 0.513319i | 0.0786971 | + | 0.0255702i | ||||
\(404\) | 15.6349 | − | 14.8123i | 0.777867 | − | 0.736941i | ||||
\(405\) | −4.94701 | + | 19.5071i | −0.245819 | + | 0.969316i | ||||
\(406\) | 8.21476 | − | 9.35929i | 0.407692 | − | 0.464494i | ||||
\(407\) | −14.8027 | −0.733740 | ||||||||
\(408\) | −27.9303 | + | 0.145567i | −1.38275 | + | 0.00720662i | ||||
\(409\) | −6.33256 | − | 4.60088i | −0.313125 | − | 0.227499i | 0.420111 | − | 0.907473i | \(-0.361991\pi\) |
−0.733236 | + | 0.679974i | \(0.761991\pi\) | |||||||
\(410\) | 5.35880 | − | 25.2456i | 0.264652 | − | 1.24679i | ||||
\(411\) | 2.03285 | + | 7.03376i | 0.100273 | + | 0.346950i | ||||
\(412\) | 6.43313 | + | 13.5162i | 0.316937 | + | 0.665896i | ||||
\(413\) | 13.4696 | − | 18.5393i | 0.662795 | − | 0.912259i | ||||
\(414\) | −10.8922 | − | 21.4083i | −0.535321 | − | 1.05216i | ||||
\(415\) | 24.1377 | + | 11.1074i | 1.18487 | + | 0.545239i | ||||
\(416\) | 11.6243 | − | 6.08507i | 0.569931 | − | 0.298345i | ||||
\(417\) | 6.74425 | + | 0.221371i | 0.330267 | + | 0.0108406i | ||||
\(418\) | 4.25137 | − | 2.52691i | 0.207942 | − | 0.123595i | ||||
\(419\) | −0.225141 | − | 0.692913i | −0.0109989 | − | 0.0338510i | 0.945406 | − | 0.325894i | \(-0.105665\pi\) |
−0.956405 | + | 0.292043i | \(0.905665\pi\) | |||||||
\(420\) | −11.6689 | − | 8.83728i | −0.569386 | − | 0.431215i | ||||
\(421\) | 2.43342 | − | 7.48930i | 0.118598 | − | 0.365006i | −0.874083 | − | 0.485777i | \(-0.838537\pi\) |
0.992680 | + | 0.120771i | \(0.0385367\pi\) | |||||||
\(422\) | −0.935542 | − | 4.14249i | −0.0455415 | − | 0.201653i | ||||
\(423\) | −28.1868 | − | 1.85239i | −1.37049 | − | 0.0900661i | ||||
\(424\) | −0.577149 | − | 15.1713i | −0.0280288 | − | 0.736785i | ||||
\(425\) | −10.9455 | − | 26.3215i | −0.530935 | − | 1.27678i | ||||
\(426\) | −2.44559 | − | 12.7643i | −0.118489 | − | 0.618432i | ||||
\(427\) | −6.47521 | − | 8.91236i | −0.313357 | − | 0.431300i | ||||
\(428\) | 6.37128 | + | 6.72511i | 0.307967 | + | 0.325070i | ||||
\(429\) | −9.16720 | + | 11.7843i | −0.442596 | + | 0.568950i | ||||
\(430\) | 1.70765 | + | 3.83259i | 0.0823504 | + | 0.184824i | ||||
\(431\) | −6.07697 | − | 18.7030i | −0.292717 | − | 0.900891i | −0.983979 | − | 0.178286i | \(-0.942945\pi\) |
0.691262 | − | 0.722605i | \(-0.257055\pi\) | |||||||
\(432\) | 9.35031 | − | 18.5626i | 0.449867 | − | 0.893095i | ||||
\(433\) | 2.67807 | + | 8.24224i | 0.128700 | + | 0.396097i | 0.994557 | − | 0.104194i | \(-0.0332263\pi\) |
−0.865857 | + | 0.500291i | \(0.833226\pi\) | |||||||
\(434\) | −0.175922 | + | 1.90586i | −0.00844455 | + | 0.0914842i | ||||
\(435\) | −2.69567 | + | 17.8448i | −0.129247 | + | 0.855590i | ||||
\(436\) | −3.48747 | − | 26.6611i | −0.167019 | − | 1.27683i | ||||
\(437\) | −3.13144 | + | 4.31005i | −0.149797 | + | 0.206178i | ||||
\(438\) | 14.7846 | − | 31.4847i | 0.706434 | − | 1.50440i | ||||
\(439\) | 8.44806 | + | 11.6278i | 0.403204 | + | 0.554963i | 0.961544 | − | 0.274649i | \(-0.0885617\pi\) |
−0.558341 | + | 0.829612i | \(0.688562\pi\) | |||||||
\(440\) | 22.8579 | − | 5.47433i | 1.08971 | − | 0.260978i | ||||
\(441\) | −2.53042 | − | 9.97085i | −0.120496 | − | 0.474802i | ||||
\(442\) | −14.0553 | − | 12.3365i | −0.668543 | − | 0.586788i | ||||
\(443\) | 32.1728 | 1.52858 | 0.764288 | − | 0.644875i | \(-0.223090\pi\) | ||||
0.764288 | + | 0.644875i | \(0.223090\pi\) | |||||||
\(444\) | 11.8975 | + | 6.98793i | 0.564630 | + | 0.331632i | ||||
\(445\) | 37.7642 | + | 4.44316i | 1.79020 | + | 0.210626i | ||||
\(446\) | 4.82645 | + | 21.3711i | 0.228539 | + | 1.01195i | ||||
\(447\) | 12.1927 | + | 9.48495i | 0.576697 | + | 0.448623i | ||||
\(448\) | 9.78949 | + | 11.5200i | 0.462510 | + | 0.544271i | ||||
\(449\) | − | 1.96713i | − | 0.0928346i | −0.998922 | − | 0.0464173i | \(-0.985220\pi\) | ||
0.998922 | − | 0.0464173i | \(-0.0147804\pi\) | |||||||
\(450\) | 21.1491 | + | 1.64752i | 0.996980 | + | 0.0776649i | ||||
\(451\) | − | 30.3301i | − | 1.42819i | ||||||
\(452\) | 27.5065 | − | 3.59805i | 1.29380 | − | 0.169238i | ||||
\(453\) | 23.7373 | + | 18.4657i | 1.11528 | + | 0.867594i | ||||
\(454\) | −5.05201 | + | 1.14095i | −0.237102 | + | 0.0535473i | ||||
\(455\) | −1.91872 | − | 9.61122i | −0.0899508 | − | 0.450581i | ||||
\(456\) | −4.60989 | + | 0.0240258i | −0.215878 | + | 0.00112511i | ||||
\(457\) | −10.9676 | −0.513044 | −0.256522 | − | 0.966538i | \(-0.582577\pi\) | ||||
−0.256522 | + | 0.966538i | \(0.582577\pi\) | |||||||
\(458\) | 4.16946 | − | 4.75037i | 0.194826 | − | 0.221970i | ||||
\(459\) | −29.4815 | − | 2.91145i | −1.37608 | − | 0.135895i | ||||
\(460\) | −20.2892 | + | 15.1463i | −0.945987 | + | 0.706199i | ||||
\(461\) | −6.28729 | − | 8.65371i | −0.292828 | − | 0.403043i | 0.637102 | − | 0.770779i | \(-0.280133\pi\) |
−0.929930 | + | 0.367736i | \(0.880133\pi\) | |||||||
\(462\) | −15.5711 | − | 7.31188i | −0.724434 | − | 0.340179i | ||||
\(463\) | −9.54253 | + | 13.1342i | −0.443479 | + | 0.610396i | −0.970981 | − | 0.239157i | \(-0.923129\pi\) |
0.527502 | + | 0.849554i | \(0.323129\pi\) | |||||||
\(464\) | 6.70855 | − | 17.3900i | 0.311437 | − | 0.807308i | ||||
\(465\) | −1.27690 | − | 2.46236i | −0.0592147 | − | 0.114189i | ||||
\(466\) | 24.1741 | + | 2.23142i | 1.11985 | + | 0.103368i | ||||
\(467\) | 2.01968 | + | 6.21594i | 0.0934597 | + | 0.287639i | 0.986849 | − | 0.161644i | \(-0.0516795\pi\) |
−0.893390 | + | 0.449283i | \(0.851680\pi\) | |||||||
\(468\) | 12.9311 | − | 5.14392i | 0.597739 | − | 0.237778i | ||||
\(469\) | −4.65860 | − | 14.3377i | −0.215114 | − | 0.662054i | ||||
\(470\) | 3.12062 | + | 29.6116i | 0.143943 | + | 1.36588i | ||||
\(471\) | 2.05801 | − | 2.64553i | 0.0948280 | − | 0.121900i | ||||
\(472\) | 9.35133 | − | 32.9998i | 0.430430 | − | 1.51894i | ||||
\(473\) | 2.89836 | + | 3.98925i | 0.133267 | + | 0.183426i | ||||
\(474\) | 13.5512 | − | 2.59636i | 0.622427 | − | 0.119255i | ||||
\(475\) | −1.80655 | − | 4.34437i | −0.0828904 | − | 0.199333i | ||||
\(476\) | 10.2974 | − | 18.9280i | 0.471982 | − | 0.867562i | ||||
\(477\) | 1.05600 | − | 16.0686i | 0.0483510 | − | 0.735731i | ||||
\(478\) | 15.0056 | − | 3.38888i | 0.686342 | − | 0.155004i | ||||
\(479\) | 2.31678 | − | 7.13033i | 0.105857 | − | 0.325793i | −0.884074 | − | 0.467347i | \(-0.845210\pi\) |
0.989931 | + | 0.141554i | \(0.0452099\pi\) | |||||||
\(480\) | −20.9561 | − | 6.39065i | −0.956512 | − | 0.291692i | ||||
\(481\) | 2.85488 | + | 8.78641i | 0.130171 | + | 0.400626i | ||||
\(482\) | −8.88099 | − | 14.9417i | −0.404518 | − | 0.680577i | ||||
\(483\) | 18.5207 | + | 0.607919i | 0.842721 | + | 0.0276613i | ||||
\(484\) | 5.07693 | − | 2.41640i | 0.230770 | − | 0.109836i | ||||
\(485\) | 10.6480 | + | 18.9826i | 0.483503 | + | 0.861954i | ||||
\(486\) | 11.9013 | − | 18.5569i | 0.539855 | − | 0.841758i | ||||
\(487\) | −23.3145 | + | 32.0896i | −1.05648 | + | 1.45412i | −0.173426 | + | 0.984847i | \(0.555484\pi\) |
−0.883053 | + | 0.469273i | \(0.844516\pi\) | |||||||
\(488\) | −13.6983 | − | 9.17765i | −0.620095 | − | 0.415453i | ||||
\(489\) | −2.53681 | − | 8.77747i | −0.114718 | − | 0.396931i | ||||
\(490\) | −9.90469 | + | 4.41315i | −0.447448 | + | 0.199366i | ||||
\(491\) | −4.91778 | − | 3.57297i | −0.221936 | − | 0.161246i | 0.471262 | − | 0.881993i | \(-0.343799\pi\) |
−0.693198 | + | 0.720747i | \(0.743799\pi\) | |||||||
\(492\) | −14.3180 | + | 24.3776i | −0.645506 | + | 1.09902i | ||||
\(493\) | −26.5668 | −1.19651 | ||||||||
\(494\) | −2.31983 | − | 2.03614i | −0.104374 | − | 0.0916103i | ||||
\(495\) | 24.7151 | − | 3.26686i | 1.11086 | − | 0.146834i | ||||
\(496\) | 0.736845 | + | 2.76833i | 0.0330853 | + | 0.124302i | ||||
\(497\) | 9.53570 | + | 3.09834i | 0.427735 | + | 0.138979i | ||||
\(498\) | −21.2340 | − | 19.9078i | −0.951518 | − | 0.892092i | ||||
\(499\) | 33.6303i | 1.50550i | 0.658306 | + | 0.752751i | \(0.271273\pi\) | ||||
−0.658306 | + | 0.752751i | \(0.728727\pi\) | |||||||
\(500\) | −2.07383 | − | 22.2643i | −0.0927447 | − | 0.995690i | ||||
\(501\) | −34.6259 | − | 12.5207i | −1.54697 | − | 0.559384i | ||||
\(502\) | 34.3541 | + | 14.7766i | 1.53330 | + | 0.659512i | ||||
\(503\) | −0.602523 | + | 1.85437i | −0.0268652 | + | 0.0826825i | −0.963590 | − | 0.267384i | \(-0.913841\pi\) |
0.936725 | + | 0.350066i | \(0.113841\pi\) | |||||||
\(504\) | 9.06342 | + | 13.2276i | 0.403717 | + | 0.589202i | ||||
\(505\) | −17.6934 | − | 16.3329i | −0.787347 | − | 0.726804i | ||||
\(506\) | −19.6284 | + | 22.3632i | −0.872590 | + | 0.994165i | ||||
\(507\) | −12.4120 | − | 4.48819i | −0.551238 | − | 0.199327i | ||||
\(508\) | 4.55447 | − | 24.4603i | 0.202072 | − | 1.08525i | ||||
\(509\) | 9.99591 | − | 13.7582i | 0.443061 | − | 0.609821i | −0.527828 | − | 0.849351i | \(-0.676993\pi\) |
0.970889 | + | 0.239530i | \(0.0769934\pi\) | |||||||
\(510\) | 2.25221 | + | 31.1461i | 0.0997294 | + | 1.37917i | ||||
\(511\) | 15.7728 | + | 21.7094i | 0.697748 | + | 0.960367i | ||||
\(512\) | 19.7009 | + | 11.1300i | 0.870663 | + | 0.491880i | ||||
\(513\) | −4.86592 | − | 0.480534i | −0.214836 | − | 0.0212161i | ||||
\(514\) | −7.99950 | + | 18.5980i | −0.352843 | + | 0.820324i | ||||
\(515\) | 14.5964 | − | 8.18765i | 0.643193 | − | 0.360791i | ||||
\(516\) | −0.446316 | − | 4.57456i | −0.0196480 | − | 0.201384i | ||||
\(517\) | 10.8133 | + | 33.2801i | 0.475570 | + | 1.46366i | ||||
\(518\) | −9.15038 | + | 5.43876i | −0.402045 | + | 0.238965i | ||||
\(519\) | −22.7416 | − | 0.746464i | −0.998244 | − | 0.0327661i | ||||
\(520\) | −7.65783 | − | 12.5120i | −0.335818 | − | 0.548687i | ||||
\(521\) | −1.61894 | − | 0.526024i | −0.0709268 | − | 0.0230455i | 0.273339 | − | 0.961918i | \(-0.411872\pi\) |
−0.344266 | + | 0.938872i | \(0.611872\pi\) | |||||||
\(522\) | 8.98565 | − | 17.6097i | 0.393291 | − | 0.770754i | ||||
\(523\) | 22.6628 | + | 31.1926i | 0.990974 | + | 1.36396i | 0.930703 | + | 0.365776i | \(0.119196\pi\) |
0.0602706 | + | 0.998182i | \(0.480804\pi\) | |||||||
\(524\) | −21.5749 | + | 39.6573i | −0.942502 | + | 1.73244i | ||||
\(525\) | −8.98512 | + | 13.6782i | −0.392143 | + | 0.596968i | ||||
\(526\) | 2.91678 | + | 4.90730i | 0.127178 | + | 0.213968i | ||||
\(527\) | 3.30335 | − | 2.40003i | 0.143896 | − | 0.104547i | ||||
\(528\) | −25.6507 | − | 2.23295i | −1.11630 | − | 0.0971768i | ||||
\(529\) | 2.79752 | − | 8.60989i | 0.121631 | − | 0.374343i | ||||
\(530\) | −16.8809 | + | 1.77899i | −0.733258 | + | 0.0772743i | ||||
\(531\) | 13.4867 | − | 33.7876i | 0.585273 | − | 1.46626i | ||||
\(532\) | 1.69959 | − | 3.12406i | 0.0736866 | − | 0.135445i | ||||
\(533\) | −18.0030 | + | 5.84954i | −0.779798 | + | 0.253372i | ||||
\(534\) | −37.7040 | − | 17.7050i | −1.63161 | − | 0.766171i | ||||
\(535\) | 7.02532 | − | 7.61053i | 0.303731 | − | 0.329032i | ||||
\(536\) | −13.9473 | − | 17.7375i | −0.602433 | − | 0.766144i | ||||
\(537\) | −13.6345 | − | 20.1229i | −0.588370 | − | 0.868365i | ||||
\(538\) | −2.77140 | − | 0.255817i | −0.119483 | − | 0.0110290i | ||||
\(539\) | −10.3095 | + | 7.49032i | −0.444064 | + | 0.322631i | ||||
\(540\) | −21.4068 | − | 9.04162i | −0.921200 | − | 0.389089i | ||||
\(541\) | −4.73015 | − | 3.43666i | −0.203365 | − | 0.147753i | 0.481442 | − | 0.876478i | \(-0.340113\pi\) |
−0.684807 | + | 0.728725i | \(0.740113\pi\) | |||||||
\(542\) | 13.7402 | + | 12.0599i | 0.590190 | + | 0.518017i | ||||
\(543\) | 38.8375 | + | 14.0437i | 1.66668 | + | 0.602671i | ||||
\(544\) | 4.69414 | − | 31.9081i | 0.201260 | − | 1.36805i | ||||
\(545\) | −29.4802 | + | 5.88522i | −1.26279 | + | 0.252095i | ||||
\(546\) | −1.33703 | + | 10.6527i | −0.0572194 | + | 0.455895i | ||||
\(547\) | 34.2953 | + | 11.1432i | 1.46636 | + | 0.476450i | 0.930007 | − | 0.367542i | \(-0.119801\pi\) |
0.536356 | + | 0.843992i | \(0.319801\pi\) | |||||||
\(548\) | −8.38288 | + | 1.09654i | −0.358099 | + | 0.0468420i | ||||
\(549\) | −13.4442 | − | 11.1854i | −0.573783 | − | 0.477380i | ||||
\(550\) | −7.81706 | − | 25.0890i | −0.333321 | − | 1.06980i | ||||
\(551\) | −4.38486 | −0.186801 | ||||||||
\(552\) | 26.3332 | − | 8.70818i | 1.12082 | − | 0.370645i | ||||
\(553\) | −3.28935 | + | 10.1236i | −0.139877 | + | 0.430498i | ||||
\(554\) | −3.07194 | + | 0.693767i | −0.130514 | + | 0.0294753i | ||||
\(555\) | 6.90502 | − | 13.7948i | 0.293102 | − | 0.585559i | ||||
\(556\) | −1.42630 | + | 7.66012i | −0.0604888 | + | 0.324862i | ||||
\(557\) | 34.5310i | 1.46313i | 0.681774 | + | 0.731563i | \(0.261209\pi\) | ||||
−0.681774 | + | 0.731563i | \(0.738791\pi\) | |||||||
\(558\) | 0.473556 | + | 3.00136i | 0.0200472 | + | 0.127058i | ||||
\(559\) | 1.80891 | − | 2.48975i | 0.0765089 | − | 0.105305i | ||||
\(560\) | 12.1184 | − | 11.7824i | 0.512098 | − | 0.497898i | ||||
\(561\) | 10.1895 | + | 35.2560i | 0.430200 | + | 1.48851i | ||||
\(562\) | 26.4128 | + | 2.43807i | 1.11416 | + | 0.102844i | ||||
\(563\) | −7.10827 | − | 5.16446i | −0.299578 | − | 0.217656i | 0.427834 | − | 0.903857i | \(-0.359277\pi\) |
−0.727412 | + | 0.686201i | \(0.759277\pi\) | |||||||
\(564\) | 7.01947 | − | 31.8532i | 0.295573 | − | 1.34126i | ||||
\(565\) | −6.07184 | − | 30.4150i | −0.255444 | − | 1.27957i | ||||
\(566\) | 4.60777 | + | 0.425325i | 0.193679 | + | 0.0178777i | ||||
\(567\) | 8.11005 | + | 14.9493i | 0.340590 | + | 0.627810i | ||||
\(568\) | 14.9962 | − | 0.570485i | 0.629226 | − | 0.0239370i | ||||
\(569\) | −3.77499 | + | 1.22657i | −0.158256 | + | 0.0514204i | −0.387073 | − | 0.922049i | \(-0.626514\pi\) |
0.228818 | + | 0.973469i | \(0.426514\pi\) | |||||||
\(570\) | 0.371727 | + | 5.14066i | 0.0155699 | + | 0.215319i | ||||
\(571\) | −37.5264 | − | 12.1931i | −1.57043 | − | 0.510263i | −0.610860 | − | 0.791738i | \(-0.709176\pi\) |
−0.959569 | + | 0.281475i | \(0.909176\pi\) | |||||||
\(572\) | −11.8567 | − | 12.5151i | −0.495752 | − | 0.523284i | ||||
\(573\) | 6.24813 | − | 1.80579i | 0.261019 | − | 0.0754382i | ||||
\(574\) | −11.1438 | − | 18.7488i | −0.465134 | − | 0.782560i | ||||
\(575\) | 18.4142 | + | 21.4998i | 0.767924 | + | 0.896604i | ||||
\(576\) | 19.5624 | + | 13.9037i | 0.815100 | + | 0.579321i | ||||
\(577\) | 8.06370 | − | 5.85862i | 0.335696 | − | 0.243898i | −0.407148 | − | 0.913362i | \(-0.633477\pi\) |
0.742844 | + | 0.669465i | \(0.233477\pi\) | |||||||
\(578\) | −21.3888 | + | 4.83044i | −0.889655 | + | 0.200920i | ||||
\(579\) | −17.2078 | + | 22.1203i | −0.715132 | + | 0.919290i | ||||
\(580\) | −19.9009 | − | 6.18241i | −0.826341 | − | 0.256711i | ||||
\(581\) | 21.3561 | − | 6.93901i | 0.885999 | − | 0.287878i | ||||
\(582\) | −4.48652 | − | 23.4165i | −0.185972 | − | 0.970646i | ||||
\(583\) | −18.9722 | + | 6.16443i | −0.785747 | + | 0.255305i | ||||
\(584\) | 33.3674 | + | 22.3556i | 1.38075 | + | 0.925082i | ||||
\(585\) | −6.70573 | − | 14.0401i | −0.277248 | − | 0.580486i | ||||
\(586\) | 11.0012 | − | 25.5767i | 0.454455 | − | 1.05656i | ||||
\(587\) | 6.11843 | + | 4.44530i | 0.252535 | + | 0.183477i | 0.706849 | − | 0.707364i | \(-0.250116\pi\) |
−0.454315 | + | 0.890841i | \(0.650116\pi\) | |||||||
\(588\) | 11.8222 | − | 1.15343i | 0.487539 | − | 0.0475666i | ||||
\(589\) | 0.545218 | − | 0.396124i | 0.0224653 | − | 0.0163220i | ||||
\(590\) | −37.5119 | − | 7.96252i | −1.54434 | − | 0.327812i | ||||
\(591\) | −12.8583 | + | 8.71225i | −0.528918 | + | 0.358374i | ||||
\(592\) | −10.0472 | + | 12.3651i | −0.412936 | + | 0.508204i | ||||
\(593\) | 6.82333i | 0.280200i | 0.990137 | + | 0.140100i | \(0.0447425\pi\) | ||||
−0.990137 | + | 0.140100i | \(0.955258\pi\) | |||||||
\(594\) | −26.8156 | − | 5.17055i | −1.10026 | − | 0.212150i | ||||
\(595\) | −21.8852 | − | 10.0708i | −0.897204 | − | 0.412863i | ||||
\(596\) | −12.9489 | + | 12.2676i | −0.530408 | + | 0.502502i | ||||
\(597\) | −21.2741 | − | 16.5495i | −0.870692 | − | 0.677327i | ||||
\(598\) | 17.0597 | + | 7.33782i | 0.697623 | + | 0.300066i | ||||
\(599\) | −4.75121 | −0.194129 | −0.0970646 | − | 0.995278i | \(-0.530945\pi\) | ||||
−0.0970646 | + | 0.995278i | \(0.530945\pi\) | |||||||
\(600\) | −5.56095 | + | 23.8553i | −0.227025 | + | 0.973889i | ||||
\(601\) | 22.0058 | 0.897636 | 0.448818 | − | 0.893623i | \(-0.351845\pi\) | ||||
0.448818 | + | 0.893623i | \(0.351845\pi\) | |||||||
\(602\) | 3.25737 | + | 1.40108i | 0.132760 | + | 0.0571037i | ||||
\(603\) | −12.7675 | − | 20.2431i | −0.519933 | − | 0.824362i | ||||
\(604\) | −25.2095 | + | 23.8831i | −1.02576 | + | 0.971791i | ||||
\(605\) | −3.07543 | − | 5.48265i | −0.125034 | − | 0.222902i | ||||
\(606\) | 12.7262 | + | 23.1047i | 0.516967 | + | 0.938565i | ||||
\(607\) | − | 1.30410i | − | 0.0529318i | −0.999650 | − | 0.0264659i | \(-0.991575\pi\) | ||
0.999650 | − | 0.0264659i | \(-0.00842534\pi\) | |||||||
\(608\) | 0.774768 | − | 5.26643i | 0.0314210 | − | 0.213582i | ||||
\(609\) | 8.55517 | + | 12.6264i | 0.346673 | + | 0.511649i | ||||
\(610\) | −9.21298 | + | 15.9676i | −0.373022 | + | 0.646508i | ||||
\(611\) | 17.6685 | − | 12.8369i | 0.714793 | − | 0.519327i | ||||
\(612\) | 8.45370 | − | 33.1469i | 0.341721 | − | 1.33988i | ||||
\(613\) | −5.64008 | − | 4.09776i | −0.227801 | − | 0.165507i | 0.468030 | − | 0.883712i | \(-0.344964\pi\) |
−0.695831 | + | 0.718205i | \(0.744964\pi\) | |||||||
\(614\) | −10.4375 | + | 24.2662i | −0.421224 | + | 0.979303i | ||||
\(615\) | 28.2651 | + | 14.1481i | 1.13976 | + | 0.570508i | ||||
\(616\) | 11.0562 | − | 16.5023i | 0.445468 | − | 0.664895i | ||||
\(617\) | 3.63747 | − | 1.18189i | 0.146439 | − | 0.0475809i | −0.234880 | − | 0.972024i | \(-0.575470\pi\) |
0.381319 | + | 0.924443i | \(0.375470\pi\) | |||||||
\(618\) | −18.0058 | + | 3.44984i | −0.724299 | + | 0.138773i | ||||
\(619\) | 10.4762 | − | 3.40392i | 0.421073 | − | 0.136815i | −0.0908137 | − | 0.995868i | \(-0.528947\pi\) |
0.511887 | + | 0.859053i | \(0.328947\pi\) | |||||||
\(620\) | 3.03302 | − | 1.02911i | 0.121809 | − | 0.0413299i | ||||
\(621\) | 28.7363 | − | 6.29709i | 1.15315 | − | 0.252693i | ||||
\(622\) | −25.6900 | + | 5.80183i | −1.03007 | + | 0.232632i | ||||
\(623\) | 25.9977 | − | 18.8884i | 1.04158 | − | 0.756750i | ||||
\(624\) | 3.62164 | + | 15.6561i | 0.144982 | + | 0.626746i | ||||
\(625\) | −24.6813 | + | 3.97930i | −0.987251 | + | 0.159172i | ||||
\(626\) | 2.05594 | + | 3.45899i | 0.0821718 | + | 0.138249i | ||||
\(627\) | 1.68177 | + | 5.81901i | 0.0671635 | + | 0.232389i | ||||
\(628\) | 2.66179 | + | 2.80961i | 0.106217 | + | 0.112116i | ||||
\(629\) | 21.5975 | + | 7.01745i | 0.861149 | + | 0.279804i | ||||
\(630\) | 14.0776 | − | 11.1002i | 0.560863 | − | 0.442243i | ||||
\(631\) | −6.93087 | + | 2.25198i | −0.275914 | + | 0.0896498i | −0.443705 | − | 0.896173i | \(-0.646336\pi\) |
0.167792 | + | 0.985822i | \(0.446336\pi\) | |||||||
\(632\) | 0.605655 | + | 15.9207i | 0.0240917 | + | 0.633291i | ||||
\(633\) | 5.19847 | + | 0.170633i | 0.206621 | + | 0.00678207i | ||||
\(634\) | 11.2377 | + | 1.03731i | 0.446306 | + | 0.0411968i | ||||
\(635\) | −27.6269 | − | 3.25045i | −1.09634 | − | 0.128990i | ||||
\(636\) | 18.1588 | + | 4.00163i | 0.720042 | + | 0.158675i | ||||
\(637\) | 6.43435 | + | 4.67483i | 0.254938 | + | 0.185224i | ||||
\(638\) | −24.3868 | − | 2.25105i | −0.965482 | − | 0.0891198i | ||||
\(639\) | 15.8831 | + | 1.04381i | 0.628326 | + | 0.0412925i | ||||
\(640\) | 10.9417 | − | 22.8096i | 0.432509 | − | 0.901630i | ||||
\(641\) | −0.666332 | + | 0.917128i | −0.0263185 | + | 0.0362244i | −0.821973 | − | 0.569526i | \(-0.807127\pi\) |
0.795655 | + | 0.605750i | \(0.207127\pi\) | |||||||
\(642\) | −9.93811 | + | 5.47396i | −0.392226 | + | 0.216040i | ||||
\(643\) | − | 32.6717i | − | 1.28845i | −0.764837 | − | 0.644223i | \(-0.777181\pi\) | ||
0.764837 | − | 0.644223i | \(-0.222819\pi\) | |||||||
\(644\) | −3.91684 | + | 21.0358i | −0.154345 | + | 0.828928i | ||||
\(645\) | −5.06965 | + | 0.840159i | −0.199617 | + | 0.0330812i | ||||
\(646\) | −7.40081 | + | 1.67140i | −0.291181 | + | 0.0657604i | ||||
\(647\) | −13.8619 | + | 42.6626i | −0.544969 | + | 1.67724i | 0.176095 | + | 0.984373i | \(0.443653\pi\) |
−0.721064 | + | 0.692869i | \(0.756347\pi\) | |||||||
\(648\) | 19.1119 | + | 16.8147i | 0.750788 | + | 0.660544i | ||||
\(649\) | −45.0668 | −1.76903 | ||||||||
\(650\) | −13.3845 | + | 9.47871i | −0.524982 | + | 0.371785i | ||||
\(651\) | −2.20442 | − | 0.797119i | −0.0863981 | − | 0.0312416i | ||||
\(652\) | 10.4610 | − | 1.36838i | 0.409686 | − | 0.0535900i | ||||
\(653\) | 30.5423 | + | 9.92381i | 1.19521 | + | 0.388349i | 0.837998 | − | 0.545673i | \(-0.183726\pi\) |
0.357216 | + | 0.934022i | \(0.383726\pi\) | |||||||
\(654\) | 32.6748 | + | 4.10102i | 1.27769 | + | 0.160363i | ||||
\(655\) | 45.8531 | + | 21.1001i | 1.79163 | + | 0.824448i | ||||
\(656\) | −25.3357 | − | 20.5863i | −0.989194 | − | 0.803759i | ||||
\(657\) | 32.7483 | + | 27.2461i | 1.27763 | + | 1.06297i | ||||
\(658\) | 18.9120 | + | 16.5993i | 0.737268 | + | 0.647109i | ||||
\(659\) | 18.8963 | + | 13.7290i | 0.736095 | + | 0.534804i | 0.891486 | − | 0.453049i | \(-0.149664\pi\) |
−0.155391 | + | 0.987853i | \(0.549664\pi\) | |||||||
\(660\) | −0.571661 | + | 28.7811i | −0.0222519 | + | 1.12030i | ||||
\(661\) | 24.2557 | − | 17.6228i | 0.943436 | − | 0.685447i | −0.00580901 | − | 0.999983i | \(-0.501849\pi\) |
0.949245 | + | 0.314536i | \(0.101849\pi\) | |||||||
\(662\) | −27.6373 | − | 2.55109i | −1.07416 | − | 0.0991510i | ||||
\(663\) | 18.9617 | − | 12.8477i | 0.736413 | − | 0.498964i | ||||
\(664\) | 26.4201 | − | 20.7746i | 1.02530 | − | 0.806211i | ||||
\(665\) | −3.61215 | − | 1.66219i | −0.140073 | − | 0.0644569i | ||||
\(666\) | −11.9564 | + | 11.9423i | −0.463300 | + | 0.462754i | ||||
\(667\) | 25.0902 | − | 8.15231i | 0.971498 | − | 0.315659i | ||||
\(668\) | 20.3180 | − | 37.3471i | 0.786127 | − | 1.44500i | ||||
\(669\) | −26.8189 | − | 0.880296i | −1.03688 | − | 0.0340342i | ||||
\(670\) | −18.7431 | + | 16.8858i | −0.724110 | + | 0.652355i | ||||
\(671\) | −6.69482 | + | 20.6045i | −0.258451 | + | 0.795429i | ||||
\(672\) | −16.6766 | + | 8.04420i | −0.643314 | + | 0.310312i | ||||
\(673\) | −6.12652 | + | 4.45118i | −0.236160 | + | 0.171580i | −0.699571 | − | 0.714563i | \(-0.746625\pi\) |
0.463411 | + | 0.886144i | \(0.346625\pi\) | |||||||
\(674\) | 19.7606 | + | 33.2460i | 0.761150 | + | 1.28059i | ||||
\(675\) | −8.48446 | + | 24.5563i | −0.326567 | + | 0.945174i | ||||
\(676\) | 7.28321 | − | 13.3875i | 0.280124 | − | 0.514903i | ||||
\(677\) | −17.3650 | − | 23.9009i | −0.667391 | − | 0.918585i | 0.332307 | − | 0.943171i | \(-0.392173\pi\) |
−0.999698 | + | 0.0245865i | \(0.992173\pi\) | |||||||
\(678\) | −4.23106 | + | 33.7109i | −0.162493 | + | 1.29466i | ||||
\(679\) | 17.4936 | + | 5.68400i | 0.671341 | + | 0.218132i | ||||
\(680\) | −35.9456 | − | 2.84899i | −1.37845 | − | 0.109254i | ||||
\(681\) | 0.208097 | − | 6.33983i | 0.00797430 | − | 0.242943i | ||||
\(682\) | 3.23564 | − | 1.92319i | 0.123899 | − | 0.0736426i | ||||
\(683\) | −8.86970 | − | 27.2981i | −0.339390 | − | 1.04453i | −0.964519 | − | 0.264013i | \(-0.914954\pi\) |
0.625129 | − | 0.780521i | \(-0.285046\pi\) | |||||||
\(684\) | 1.39528 | − | 5.47089i | 0.0533500 | − | 0.209185i | ||||
\(685\) | 1.85046 | + | 9.26929i | 0.0707023 | + | 0.354161i | ||||
\(686\) | −11.0126 | + | 25.6031i | −0.420461 | + | 0.977530i | ||||
\(687\) | 4.34224 | + | 6.40864i | 0.165667 | + | 0.244505i | ||||
\(688\) | 5.29958 | + | 0.286570i | 0.202045 | + | 0.0109254i | ||||
\(689\) | 7.31804 | + | 10.0724i | 0.278795 | + | 0.383728i | ||||
\(690\) | −11.6845 | − | 28.7239i | −0.444823 | − | 1.09350i | ||||
\(691\) | −14.4063 | + | 19.8286i | −0.548042 | + | 0.754315i | −0.989745 | − | 0.142847i | \(-0.954374\pi\) |
0.441703 | + | 0.897161i | \(0.354374\pi\) | |||||||
\(692\) | 4.80949 | − | 25.8299i | 0.182829 | − | 0.981906i | ||||
\(693\) | 13.4749 | − | 16.1961i | 0.511869 | − | 0.615238i | ||||
\(694\) | −6.41380 | + | 7.30742i | −0.243465 | + | 0.277386i | ||||
\(695\) | 8.65180 | + | 1.01793i | 0.328181 | + | 0.0386122i | ||||
\(696\) | 18.5380 | + | 13.3216i | 0.702682 | + | 0.504954i | ||||
\(697\) | −14.3785 | + | 44.2525i | −0.544625 | + | 1.67618i | ||||
\(698\) | −15.5365 | − | 6.68266i | −0.588066 | − | 0.252943i | ||||
\(699\) | −10.1107 | + | 27.9611i | −0.382423 | + | 1.05759i | ||||
\(700\) | −14.0503 | − | 12.6369i | −0.531053 | − | 0.477629i | ||||
\(701\) | − | 6.63847i | − | 0.250732i | −0.992111 | − | 0.125366i | \(-0.959990\pi\) | ||
0.992111 | − | 0.125366i | \(-0.0400104\pi\) | |||||||
\(702\) | 2.10264 | + | 16.9141i | 0.0793591 | + | 0.638383i | ||||
\(703\) | 3.56467 | + | 1.15823i | 0.134444 | + | 0.0436835i | ||||
\(704\) | 7.01257 | − | 28.8920i | 0.264296 | − | 1.08891i | ||||
\(705\) | −36.0584 | − | 5.44706i | −1.35804 | − | 0.205148i | ||||
\(706\) | −2.21392 | − | 1.94318i | −0.0833219 | − | 0.0731326i | ||||
\(707\) | −20.3497 | −0.765330 | ||||||||
\(708\) | 36.2221 | + | 21.2748i | 1.36131 | + | 0.799556i | ||||
\(709\) | 18.6294 | + | 13.5350i | 0.699640 | + | 0.508318i | 0.879815 | − | 0.475316i | \(-0.157666\pi\) |
−0.180175 | + | 0.983635i | \(0.557666\pi\) | |||||||
\(710\) | −1.75845 | − | 16.6860i | −0.0659935 | − | 0.626213i | ||||
\(711\) | −1.10816 | + | 16.8623i | −0.0415592 | + | 0.632385i | ||||
\(712\) | 26.7716 | − | 39.9586i | 1.00331 | − | 1.49751i | ||||
\(713\) | −2.38328 | + | 3.28030i | −0.0892545 | + | 0.122848i | ||||
\(714\) | 19.2524 | + | 18.0500i | 0.720503 | + | 0.675505i | ||||
\(715\) | −13.0738 | + | 14.1628i | −0.488933 | + | 0.529661i | ||||
\(716\) | 25.3431 | − | 12.0622i | 0.947117 | − | 0.450786i | ||||
\(717\) | −0.618097 | + | 18.8308i | −0.0230832 | + | 0.703248i | ||||
\(718\) | 1.17633 | + | 1.97910i | 0.0439001 | + | 0.0738592i | ||||
\(719\) | −3.31117 | − | 10.1907i | −0.123486 | − | 0.380050i | 0.870136 | − | 0.492811i | \(-0.164031\pi\) |
−0.993622 | + | 0.112761i | \(0.964031\pi\) | |||||||
\(720\) | 14.0462 | − | 22.8627i | 0.523472 | − | 0.852043i | ||||
\(721\) | 4.37063 | − | 13.4514i | 0.162771 | − | 0.500957i | ||||
\(722\) | 24.9885 | − | 5.64340i | 0.929974 | − | 0.210026i | ||||
\(723\) | 20.4513 | − | 5.91069i | 0.760591 | − | 0.219821i | ||||
\(724\) | −22.7894 | + | 41.8897i | −0.846960 | + | 1.55682i | ||||
\(725\) | −5.40760 | + | 22.6626i | −0.200833 | + | 0.841668i | ||||
\(726\) | 1.29582 | + | 6.76329i | 0.0480924 | + | 0.251009i | ||||
\(727\) | −28.7728 | − | 39.6023i | −1.06712 | − | 1.46877i | −0.872956 | − | 0.487800i | \(-0.837800\pi\) |
−0.194167 | − | 0.980968i | \(-0.562200\pi\) | |||||||
\(728\) | −11.9276 | − | 3.37998i | −0.442065 | − | 0.125270i | ||||
\(729\) | 18.3173 | + | 19.8363i | 0.678417 | + | 0.734677i | ||||
\(730\) | 22.4417 | − | 38.8950i | 0.830603 | − | 1.43957i | ||||
\(731\) | −2.33762 | − | 7.19445i | −0.0864599 | − | 0.266096i | ||||
\(732\) | 15.1077 | − | 13.4003i | 0.558398 | − | 0.495288i | ||||
\(733\) | 4.62488 | + | 14.2339i | 0.170824 | + | 0.525741i | 0.999418 | − | 0.0341080i | \(-0.0108590\pi\) |
−0.828594 | + | 0.559849i | \(0.810859\pi\) | |||||||
\(734\) | 35.4925 | + | 3.27618i | 1.31005 | + | 0.120926i | ||||
\(735\) | −2.17125 | − | 13.1017i | −0.0800878 | − | 0.483262i | ||||
\(736\) | 5.35810 | + | 31.5751i | 0.197502 | + | 1.16387i | ||||
\(737\) | −17.4266 | + | 23.9857i | −0.641918 | + | 0.883524i | ||||
\(738\) | −24.4693 | − | 24.4982i | −0.900727 | − | 0.901789i | ||||
\(739\) | 8.95027 | + | 12.3190i | 0.329241 | + | 0.453161i | 0.941260 | − | 0.337681i | \(-0.109643\pi\) |
−0.612020 | + | 0.790843i | \(0.709643\pi\) | |||||||
\(740\) | 14.5454 | + | 10.2827i | 0.534700 | + | 0.377999i | ||||
\(741\) | 3.12964 | − | 2.12052i | 0.114970 | − | 0.0778992i | ||||
\(742\) | −9.46288 | + | 10.7813i | −0.347393 | + | 0.395794i | ||||
\(743\) | −46.5598 | −1.70811 | −0.854057 | − | 0.520180i | \(-0.825865\pi\) | ||||
−0.854057 | + | 0.520180i | \(0.825865\pi\) | |||||||
\(744\) | −3.50850 | + | 0.0182856i | −0.128628 | + | 0.000670381i | ||||
\(745\) | 14.6538 | + | 13.5270i | 0.536872 | + | 0.495590i | ||||
\(746\) | −10.8313 | + | 2.44615i | −0.396562 | + | 0.0895598i | ||||
\(747\) | 30.1521 | − | 19.0172i | 1.10321 | − | 0.695804i | ||||
\(748\) | −42.0183 | + | 5.49631i | −1.53634 | + | 0.200965i | ||||
\(749\) | − | 8.75309i | − | 0.319831i | ||||||
\(750\) | 27.0273 | + | 4.41847i | 0.986899 | + | 0.161340i | ||||
\(751\) | − | 25.6914i | − | 0.937494i | −0.883333 | − | 0.468747i | \(-0.844706\pi\) | ||
0.883333 | − | 0.468747i | \(-0.155294\pi\) | |||||||
\(752\) | 35.1394 | + | 13.5558i | 1.28140 | + | 0.494328i | ||||
\(753\) | −28.1229 | + | 36.1515i | −1.02486 | + | 1.31744i | ||||
\(754\) | 3.36714 | + | 14.9094i | 0.122624 | + | 0.542969i | ||||
\(755\) | 28.5286 | + | 26.3349i | 1.03826 | + | 0.958424i | ||||
\(756\) | −18.4760 | + | 6.65632i | −0.671967 | + | 0.242088i | ||||
\(757\) | 1.21958 | 0.0443264 | 0.0221632 | − | 0.999754i | \(-0.492945\pi\) | ||||
0.0221632 | + | 0.999754i | \(0.492945\pi\) | |||||||
\(758\) | −1.47327 | − | 1.29311i | −0.0535116 | − | 0.0469678i | ||||
\(759\) | −20.4418 | − | 30.1697i | −0.741991 | − | 1.09509i | ||||
\(760\) | −5.93282 | − | 0.470225i | −0.215206 | − | 0.0170569i | ||||
\(761\) | 2.75204 | + | 3.78786i | 0.0997613 | + | 0.137310i | 0.855979 | − | 0.517010i | \(-0.172955\pi\) |
−0.756218 | + | 0.654320i | \(0.772955\pi\) | |||||||
\(762\) | 27.5828 | + | 12.9523i | 0.999219 | + | 0.469213i | ||||
\(763\) | −14.9330 | + | 20.5535i | −0.540611 | + | 0.744087i | ||||
\(764\) | 0.974065 | + | 7.44656i | 0.0352404 | + | 0.269407i | ||||
\(765\) | −37.6088 | − | 6.95019i | −1.35975 | − | 0.251285i | ||||
\(766\) | 0.793375 | − | 8.59505i | 0.0286658 | − | 0.310552i | ||||
\(767\) | 8.69170 | + | 26.7503i | 0.313839 | + | 0.965897i | ||||
\(768\) | −19.2754 | + | 19.9113i | −0.695542 | + | 0.718486i | ||||
\(769\) | −5.10159 | − | 15.7011i | −0.183968 | − | 0.566195i | 0.815961 | − | 0.578107i | \(-0.196208\pi\) |
−0.999929 | + | 0.0119117i | \(0.996208\pi\) | |||||||
\(770\) | −19.2360 | − | 11.0988i | −0.693217 | − | 0.399972i | ||||
\(771\) | −19.5711 | − | 15.2247i | −0.704835 | − | 0.548304i | ||||
\(772\) | −22.2562 | − | 23.4922i | −0.801019 | − | 0.845504i | ||||
\(773\) | −5.18022 | − | 7.12996i | −0.186320 | − | 0.256447i | 0.705631 | − | 0.708579i | \(-0.250663\pi\) |
−0.891951 | + | 0.452132i | \(0.850663\pi\) | |||||||
\(774\) | 5.55944 | + | 0.883889i | 0.199830 | + | 0.0317707i | ||||
\(775\) | −1.37493 | − | 3.30642i | −0.0493891 | − | 0.118770i | ||||
\(776\) | 27.5110 | − | 1.04657i | 0.987587 | − | 0.0375698i | ||||
\(777\) | −3.61974 | − | 12.5245i | −0.129857 | − | 0.449312i | ||||
\(778\) | 9.52894 | + | 42.1933i | 0.341629 | + | 1.51270i | ||||
\(779\) | −2.37317 | + | 7.30388i | −0.0850278 | + | 0.261689i | ||||
\(780\) | 17.1939 | − | 5.21148i | 0.615639 | − | 0.186601i | ||||
\(781\) | −6.09326 | − | 18.7531i | −0.218034 | − | 0.671040i | ||||
\(782\) | 39.2401 | − | 23.3234i | 1.40322 | − | 0.834041i | ||||
\(783\) | 18.0951 | + | 16.0882i | 0.646667 | + | 0.574945i | ||||
\(784\) | −0.740593 | + | 13.6959i | −0.0264497 | + | 0.489139i | ||||
\(785\) | 2.93503 | − | 3.17952i | 0.104756 | − | 0.113482i | ||||
\(786\) | −40.3371 | − | 37.8178i | −1.43878 | − | 1.34892i | ||||
\(787\) | 16.4874 | − | 22.6929i | 0.587711 | − | 0.808915i | −0.406803 | − | 0.913516i | \(-0.633356\pi\) |
0.994514 | + | 0.104601i | \(0.0333565\pi\) | |||||||
\(788\) | −7.70761 | − | 16.1939i | −0.274572 | − | 0.576885i | ||||
\(789\) | −6.71680 | + | 1.94125i | −0.239124 | + | 0.0691102i | ||||
\(790\) | 17.7146 | − | 1.86686i | 0.630259 | − | 0.0664198i | ||||
\(791\) | −21.2052 | − | 15.4065i | −0.753972 | − | 0.547792i | ||||
\(792\) | 10.5686 | − | 29.7106i | 0.375539 | − | 1.05572i | ||||
\(793\) | 13.5214 | 0.480159 | ||||||||
\(794\) | 21.7165 | − | 24.7421i | 0.770689 | − | 0.878066i | ||||
\(795\) | 3.10524 | − | 20.5560i | 0.110131 | − | 0.729047i | ||||
\(796\) | 22.5935 | − | 21.4048i | 0.800806 | − | 0.758673i | ||||
\(797\) | 2.65558 | + | 0.862851i | 0.0940655 | + | 0.0305637i | 0.355672 | − | 0.934611i | \(-0.384252\pi\) |
−0.261606 | + | 0.965175i | \(0.584252\pi\) | |||||||
\(798\) | 3.17761 | + | 2.97915i | 0.112486 | + | 0.105461i | ||||
\(799\) | − | 53.6828i | − | 1.89916i | ||||||
\(800\) | −26.2635 | − | 10.4991i | −0.928553 | − | 0.371199i | ||||
\(801\) | 32.6281 | − | 39.2172i | 1.15286 | − | 1.38567i | ||||
\(802\) | −0.133467 | + | 0.310297i | −0.00471287 | + | 0.0109570i | ||||
\(803\) | 16.3077 | − | 50.1901i | 0.575488 | − | 1.77117i | ||||
\(804\) | 25.3295 | − | 11.0517i | 0.893302 | − | 0.389762i | ||||
\(805\) | 23.7591 | + | 2.79538i | 0.837399 | + | 0.0985243i | ||||
\(806\) | −1.76558 | − | 1.54967i | −0.0621899 | − | 0.0545848i | ||||
\(807\) | 1.15913 | − | 3.20555i | 0.0408032 | − | 0.112841i | ||||
\(808\) | −28.5889 | + | 10.5065i | −1.00575 | + | 0.369619i | ||||
\(809\) | −6.24323 | + | 8.59307i | −0.219500 | + | 0.302116i | −0.904539 | − | 0.426390i | \(-0.859785\pi\) |
0.685039 | + | 0.728506i | \(0.259785\pi\) | |||||||
\(810\) | 17.3272 | − | 22.5780i | 0.608817 | − | 0.793310i | ||||
\(811\) | −13.0862 | − | 18.0116i | −0.459518 | − | 0.632472i | 0.514891 | − | 0.857256i | \(-0.327832\pi\) |
−0.974409 | + | 0.224784i | \(0.927832\pi\) | |||||||
\(812\) | −15.9020 | + | 7.56864i | −0.558050 | + | 0.265607i | ||||
\(813\) | −18.5366 | + | 12.5596i | −0.650106 | + | 0.440486i | ||||
\(814\) | 19.2306 | + | 8.27160i | 0.674034 | + | 0.289920i | ||||
\(815\) | −2.30919 | − | 11.5672i | −0.0808875 | − | 0.405181i | ||||
\(816\) | 36.3665 | + | 15.4181i | 1.27308 | + | 0.539741i | ||||
\(817\) | −0.385824 | − | 1.18744i | −0.0134983 | − | 0.0415434i | ||||
\(818\) | 5.65592 | + | 9.51574i | 0.197755 | + | 0.332710i | ||||
\(819\) | −12.2123 | − | 4.87468i | −0.426732 | − | 0.170335i | ||||
\(820\) | −21.0689 | + | 29.8030i | −0.735756 | + | 1.04077i | ||||
\(821\) | −13.3366 | − | 4.33332i | −0.465450 | − | 0.151234i | 0.0668975 | − | 0.997760i | \(-0.478690\pi\) |
−0.532347 | + | 0.846526i | \(0.678690\pi\) | |||||||
\(822\) | 1.28946 | − | 10.2738i | 0.0449750 | − | 0.358338i | ||||
\(823\) | −19.8615 | − | 27.3370i | −0.692328 | − | 0.952907i | −0.999999 | − | 0.00141449i | \(-0.999550\pi\) |
0.307671 | − | 0.951493i | \(-0.400450\pi\) | |||||||
\(824\) | −0.804748 | − | 21.1542i | −0.0280347 | − | 0.736940i | ||||
\(825\) | 32.1489 | − | 1.51578i | 1.11928 | − | 0.0527728i | ||||
\(826\) | −27.8584 | + | 16.5584i | −0.969318 | + | 0.576139i | ||||
\(827\) | −28.8751 | + | 20.9790i | −1.00408 | + | 0.729510i | −0.962960 | − | 0.269644i | \(-0.913094\pi\) |
−0.0411244 | + | 0.999154i | \(0.513094\pi\) | |||||||
\(828\) | 2.18763 | + | 33.8987i | 0.0760254 | + | 1.17806i | ||||
\(829\) | 6.88735 | − | 21.1971i | 0.239208 | − | 0.736205i | −0.757328 | − | 0.653035i | \(-0.773495\pi\) |
0.996535 | − | 0.0831704i | \(-0.0265046\pi\) | |||||||
\(830\) | −25.1515 | − | 27.9179i | −0.873020 | − | 0.969046i | ||||
\(831\) | 0.126536 | − | 3.85502i | 0.00438949 | − | 0.133729i | ||||
\(832\) | −18.5019 | + | 1.40974i | −0.641438 | + | 0.0488739i | ||||
\(833\) | 18.5928 | − | 6.04118i | 0.644204 | − | 0.209315i | ||||
\(834\) | −8.63799 | − | 4.05622i | −0.299109 | − | 0.140455i | ||||
\(835\) | −43.1819 | − | 19.8709i | −1.49437 | − | 0.687660i | ||||
\(836\) | −6.93513 | + | 0.907166i | −0.239856 | + | 0.0313750i | ||||
\(837\) | −3.70336 | − | 0.365726i | −0.128007 | − | 0.0126413i | ||||
\(838\) | −0.0947054 | + | 1.02599i | −0.00327155 | + | 0.0354424i | ||||
\(839\) | −26.8251 | + | 19.4896i | −0.926105 | + | 0.672855i | −0.945036 | − | 0.326966i | \(-0.893974\pi\) |
0.0189309 | + | 0.999821i | \(0.493974\pi\) | |||||||
\(840\) | 10.2213 | + | 18.0013i | 0.352669 | + | 0.621105i | ||||
\(841\) | −5.89494 | − | 4.28293i | −0.203274 | − | 0.147687i | ||||
\(842\) | −7.34630 | + | 8.36984i | −0.253170 | + | 0.288444i | ||||
\(843\) | −11.0471 | + | 30.5506i | −0.380482 | + | 1.05222i | ||||
\(844\) | −1.09940 | + | 5.90443i | −0.0378428 | + | 0.203239i | ||||
\(845\) | −15.4790 | − | 7.12294i | −0.532495 | − | 0.245036i | ||||
\(846\) | 35.5833 | + | 18.1570i | 1.22338 | + | 0.624252i | ||||
\(847\) | −5.05259 | − | 1.64169i | −0.173609 | − | 0.0564090i | ||||
\(848\) | −7.72783 | + | 20.0321i | −0.265375 | + | 0.687906i | ||||
\(849\) | −1.92718 | + | 5.32960i | −0.0661407 | + | 0.182911i | ||||
\(850\) | −0.488569 | + | 40.3115i | −0.0167578 | + | 1.38267i | ||||
\(851\) | −22.5505 | −0.773021 | ||||||||
\(852\) | −3.95543 | + | 17.9491i | −0.135511 | + | 0.614927i | ||||
\(853\) | −7.53230 | + | 23.1820i | −0.257901 | + | 0.793738i | 0.735343 | + | 0.677695i | \(0.237021\pi\) |
−0.993244 | + | 0.116043i | \(0.962979\pi\) | |||||||
\(854\) | 3.43202 | + | 15.1967i | 0.117441 | + | 0.520019i | ||||
\(855\) | −6.20733 | − | 1.14713i | −0.212286 | − | 0.0392310i | ||||
\(856\) | −4.51921 | − | 12.2970i | −0.154464 | − | 0.420304i | ||||
\(857\) | − | 49.4957i | − | 1.69074i | −0.534180 | − | 0.845371i | \(-0.679380\pi\) | ||
0.534180 | − | 0.845371i | \(-0.320620\pi\) | |||||||
\(858\) | 18.4944 | − | 10.1868i | 0.631388 | − | 0.347772i | ||||
\(859\) | −30.5439 | + | 42.0401i | −1.04214 | + | 1.43439i | −0.146719 | + | 0.989178i | \(0.546871\pi\) |
−0.895426 | + | 0.445211i | \(0.853129\pi\) | |||||||
\(860\) | −0.0768533 | − | 5.93327i | −0.00262068 | − | 0.202323i | ||||
\(861\) | 25.6622 | − | 7.41671i | 0.874564 | − | 0.252761i | ||||
\(862\) | −2.55627 | + | 27.6934i | −0.0870670 | + | 0.943243i | ||||
\(863\) | 29.8832 | + | 21.7114i | 1.01723 | + | 0.739064i | 0.965714 | − | 0.259608i | \(-0.0835933\pi\) |
0.0515203 | + | 0.998672i | \(0.483593\pi\) | |||||||
\(864\) | −22.5200 | + | 18.8905i | −0.766145 | + | 0.642668i | ||||
\(865\) | −29.1738 | − | 3.43245i | −0.991940 | − | 0.116707i | ||||
\(866\) | 1.12653 | − | 12.2043i | 0.0382810 | − | 0.414718i | ||||
\(867\) | 0.881024 | − | 26.8411i | 0.0299211 | − | 0.911570i | ||||
\(868\) | 1.29353 | − | 2.37767i | 0.0439051 | − | 0.0807032i | ||||
\(869\) | 19.9092 | − | 6.46890i | 0.675375 | − | 0.219443i | ||||
\(870\) | 13.4735 | − | 21.6764i | 0.456796 | − | 0.734900i | ||||
\(871\) | 17.5981 | + | 5.71798i | 0.596290 | + | 0.193746i | ||||
\(872\) | −10.3673 | + | 36.5851i | −0.351081 | + | 1.23893i | ||||
\(873\) | 29.1381 | + | 1.91490i | 0.986174 | + | 0.0648097i | ||||
\(874\) | 6.47658 | − | 3.84952i | 0.219074 | − | 0.130212i | ||||
\(875\) | −13.0455 | + | 16.6191i | −0.441018 | + | 0.561827i | ||||
\(876\) | −36.8005 | + | 32.6414i | −1.24338 | + | 1.10285i | ||||
\(877\) | 24.4438 | − | 17.7595i | 0.825409 | − | 0.599695i | −0.0928475 | − | 0.995680i | \(-0.529597\pi\) |
0.918257 | + | 0.395985i | \(0.129597\pi\) | |||||||
\(878\) | −4.47767 | − | 19.8267i | −0.151114 | − | 0.669120i | ||||
\(879\) | 26.9148 | + | 20.9375i | 0.907815 | + | 0.706205i | ||||
\(880\) | −32.7545 | − | 5.66093i | −1.10416 | − | 0.190830i | ||||
\(881\) | 43.9014 | − | 14.2644i | 1.47908 | − | 0.480581i | 0.545240 | − | 0.838280i | \(-0.316438\pi\) |
0.933837 | + | 0.357699i | \(0.116438\pi\) | |||||||
\(882\) | −2.28426 | + | 14.3675i | −0.0769152 | + | 0.483777i | ||||
\(883\) | 3.82672 | − | 1.24338i | 0.128779 | − | 0.0418429i | −0.243918 | − | 0.969796i | \(-0.578433\pi\) |
0.372698 | + | 0.927953i | \(0.378433\pi\) | |||||||
\(884\) | 11.3662 | + | 23.8808i | 0.382287 | + | 0.803198i | ||||
\(885\) | 21.0224 | − | 41.9985i | 0.706660 | − | 1.41177i | ||||
\(886\) | −41.7968 | − | 17.9779i | −1.40419 | − | 0.603980i | ||||
\(887\) | 17.3894 | + | 12.6341i | 0.583878 | + | 0.424212i | 0.840120 | − | 0.542400i | \(-0.182484\pi\) |
−0.256242 | + | 0.966613i | \(0.582484\pi\) | |||||||
\(888\) | −11.5517 | − | 15.7265i | −0.387649 | − | 0.527746i | ||||
\(889\) | −19.0190 | + | 13.8181i | −0.637875 | + | 0.463443i | ||||
\(890\) | −46.5781 | − | 26.8746i | −1.56130 | − | 0.900839i | ||||
\(891\) | 14.4099 | − | 30.1840i | 0.482750 | − | 1.01120i | ||||
\(892\) | 5.67178 | − | 30.4609i | 0.189905 | − | 1.01991i | ||||
\(893\) | − | 8.86035i | − | 0.296500i | ||||||
\(894\) | −10.5399 | − | 19.1354i | −0.352507 | − | 0.639984i | ||||
\(895\) | −15.3520 | − | 27.3684i | −0.513160 | − | 0.914825i | ||||
\(896\) | −6.28057 | − | 20.4364i | −0.209819 | − | 0.682732i | ||||
\(897\) | −13.9654 | + | 17.9523i | −0.466291 | + | 0.599409i | ||||
\(898\) | −1.09922 | + | 2.55557i | −0.0366813 | + | 0.0852804i | ||||
\(899\) | −3.33723 | −0.111303 | ||||||||
\(900\) | −26.5550 | − | 13.9583i | −0.885165 | − | 0.465277i | ||||
\(901\) | 30.6033 | 1.01954 | ||||||||
\(902\) | −16.9482 | + | 39.4029i | −0.564314 | + | 1.31197i | ||||
\(903\) | −2.66654 | + | 3.42779i | −0.0887369 | + | 0.114070i | ||||
\(904\) | −37.7452 | − | 10.6960i | −1.25539 | − | 0.355745i | ||||
\(905\) | 48.4343 | + | 22.2878i | 1.61001 | + | 0.740873i | ||||
\(906\) | −20.5195 | − | 37.2536i | −0.681715 | − | 1.23767i | ||||
\(907\) | 27.4219i | 0.910528i | 0.890357 | + | 0.455264i | \(0.150455\pi\) | ||||
−0.890357 | + | 0.455264i | \(0.849545\pi\) | |||||||
\(908\) | 7.20079 | + | 1.34078i | 0.238967 | + | 0.0444952i | ||||
\(909\) | −31.3133 | + | 7.94678i | −1.03860 | + | 0.263578i | ||||
\(910\) | −2.87800 | + | 13.5584i | −0.0954048 | + | 0.449458i | ||||
\(911\) | 42.0672 | − | 30.5636i | 1.39375 | − | 1.01262i | 0.398304 | − | 0.917253i | \(-0.369599\pi\) |
0.995443 | − | 0.0953631i | \(-0.0304012\pi\) | |||||||
\(912\) | 6.00229 | + | 2.54476i | 0.198756 | + | 0.0842653i | ||||
\(913\) | −35.7268 | − | 25.9570i | −1.18238 | − | 0.859052i | ||||
\(914\) | 14.2484 | + | 6.12862i | 0.471296 | + | 0.202717i | ||||
\(915\) | −16.0788 | − | 15.8504i | −0.531548 | − | 0.524000i | ||||
\(916\) | −8.07116 | + | 3.84152i | −0.266679 | + | 0.126927i | ||||
\(917\) | 40.5690 | − | 13.1817i | 1.33971 | − | 0.435297i | ||||
\(918\) | 36.6736 | + | 20.2564i | 1.21041 | + | 0.668561i | ||||
\(919\) | 17.0163 | − | 5.52894i | 0.561317 | − | 0.182383i | −0.0145965 | − | 0.999893i | \(-0.504646\pi\) |
0.575914 | + | 0.817510i | \(0.304646\pi\) | |||||||
\(920\) | 34.8220 | − | 8.33964i | 1.14805 | − | 0.274950i | ||||
\(921\) | −25.5358 | − | 19.8647i | −0.841432 | − | 0.654565i | ||||
\(922\) | 3.33241 | + | 14.7556i | 0.109747 | + | 0.485951i | ||||
\(923\) | −9.95613 | + | 7.23355i | −0.327710 | + | 0.238095i | ||||
\(924\) | 16.1432 | + | 18.2001i | 0.531071 | + | 0.598741i | ||||
\(925\) | 10.3823 | − | 16.9952i | 0.341368 | − | 0.558798i | ||||
\(926\) | 19.7363 | − | 11.7308i | 0.648575 | − | 0.385497i | ||||
\(927\) | 1.47244 | − | 22.4053i | 0.0483612 | − | 0.735886i | ||||
\(928\) | −18.4327 | + | 18.8432i | −0.605082 | + | 0.618559i | ||||
\(929\) | 13.3766 | + | 4.34631i | 0.438871 | + | 0.142598i | 0.520115 | − | 0.854096i | \(-0.325889\pi\) |
−0.0812438 | + | 0.996694i | \(0.525889\pi\) | |||||||
\(930\) | 0.282914 | + | 3.91246i | 0.00927713 | + | 0.128295i | ||||
\(931\) | 3.06875 | − | 0.997097i | 0.100574 | − | 0.0326785i | ||||
\(932\) | −30.1586 | − | 16.4072i | −0.987877 | − | 0.537436i | ||||
\(933\) | 1.05819 | − | 32.2387i | 0.0346437 | − | 1.05545i | ||||
\(934\) | 0.849578 | − | 9.20392i | 0.0277990 | − | 0.301162i | ||||
\(935\) | 9.27522 | + | 46.4614i | 0.303332 | + | 1.51945i | ||||
\(936\) | −19.6736 | − | 0.543134i | −0.643052 | − | 0.0177529i | ||||
\(937\) | −1.06264 | − | 0.772052i | −0.0347149 | − | 0.0252218i | 0.570293 | − | 0.821442i | \(-0.306830\pi\) |
−0.605007 | + | 0.796220i | \(0.706830\pi\) | |||||||
\(938\) | −1.95964 | + | 21.2298i | −0.0639845 | + | 0.693178i | ||||
\(939\) | −4.73444 | + | 1.36832i | −0.154503 | + | 0.0446534i | ||||
\(940\) | 12.4926 | − | 40.2132i | 0.407464 | − | 1.31161i | ||||
\(941\) | 8.99464 | − | 12.3801i | 0.293217 | − | 0.403578i | −0.636839 | − | 0.770997i | \(-0.719758\pi\) |
0.930056 | + | 0.367419i | \(0.119758\pi\) | |||||||
\(942\) | −4.15193 | + | 2.28691i | −0.135277 | + | 0.0745115i | ||||
\(943\) | − | 46.2052i | − | 1.50465i | ||||||
\(944\) | −30.5887 | + | 37.6458i | −0.995576 | + | 1.22527i | ||||
\(945\) | 8.80773 | + | 20.1125i | 0.286516 | + | 0.654259i | ||||
\(946\) | −1.53620 | − | 6.80215i | −0.0499462 | − | 0.221157i | ||||
\(947\) | 0.789457 | − | 2.42970i | 0.0256539 | − | 0.0789546i | −0.937410 | − | 0.348228i | \(-0.886784\pi\) |
0.963064 | + | 0.269273i | \(0.0867835\pi\) | |||||||
\(948\) | −19.0557 | − | 4.19928i | −0.618899 | − | 0.136386i | ||||
\(949\) | −32.9365 | −1.06916 | ||||||||
\(950\) | −0.0806384 | + | 6.65340i | −0.00261625 | + | 0.215865i | ||||
\(951\) | −4.70013 | + | 12.9982i | −0.152412 | + | 0.421494i | ||||
\(952\) | −23.9545 | + | 18.8359i | −0.776371 | + | 0.610474i | ||||
\(953\) | 22.0739 | + | 7.17223i | 0.715042 | + | 0.232331i | 0.643872 | − | 0.765133i | \(-0.277327\pi\) |
0.0711699 | + | 0.997464i | \(0.477327\pi\) | |||||||
\(954\) | −10.3509 | + | 20.2852i | −0.335123 | + | 0.656758i | ||||
\(955\) | 8.23396 | − | 1.64377i | 0.266445 | − | 0.0531911i | ||||
\(956\) | −21.3880 | − | 3.98242i | −0.691738 | − | 0.128801i | ||||
\(957\) | 10.1997 | − | 28.2071i | 0.329709 | − | 0.911806i | ||||
\(958\) | −6.99418 | + | 7.96866i | −0.225972 | + | 0.257456i | ||||
\(959\) | 6.46251 | + | 4.69529i | 0.208685 | + | 0.151619i | ||||
\(960\) | 23.6538 | + | 20.0124i | 0.763423 | + | 0.645899i | ||||
\(961\) | −24.6646 | + | 17.9199i | −0.795631 | + | 0.578060i | ||||
\(962\) | 1.20090 | − | 13.0100i | 0.0387186 | − | 0.419460i | ||||
\(963\) | −3.41817 | − | 13.4689i | −0.110149 | − | 0.434030i | ||||
\(964\) | 3.18829 | + | 24.3739i | 0.102688 | + | 0.785032i | ||||
\(965\) | −24.5409 | + | 26.5852i | −0.790001 | + | 0.855807i | ||||
\(966\) | −23.7212 | − | 11.1390i | −0.763217 | − | 0.358391i | ||||
\(967\) | 43.1652 | − | 14.0252i | 1.38810 | − | 0.451021i | 0.482777 | − | 0.875744i | \(-0.339628\pi\) |
0.905324 | + | 0.424722i | \(0.139628\pi\) | |||||||
\(968\) | −7.94588 | + | 0.302277i | −0.255390 | + | 0.00971556i | ||||
\(969\) | 0.304846 | − | 9.28737i | 0.00979308 | − | 0.298353i | ||||
\(970\) | −3.22593 | − | 30.6110i | −0.103579 | − | 0.982859i | ||||
\(971\) | 8.88546 | − | 27.3466i | 0.285148 | − | 0.877595i | −0.701206 | − | 0.712958i | \(-0.747355\pi\) |
0.986354 | − | 0.164637i | \(-0.0526451\pi\) | |||||||
\(972\) | −25.8309 | + | 17.4576i | −0.828525 | + | 0.559952i | ||||
\(973\) | 5.95608 | − | 4.32735i | 0.190943 | − | 0.138728i | ||||
\(974\) | 48.2201 | − | 28.6608i | 1.54507 | − | 0.918352i | ||||
\(975\) | −7.10004 | − | 18.7903i | −0.227383 | − | 0.601770i | ||||
\(976\) | 12.6676 | + | 19.5775i | 0.405480 | + | 0.626662i | ||||
\(977\) | −1.40486 | − | 1.93363i | −0.0449456 | − | 0.0618623i | 0.785953 | − | 0.618287i | \(-0.212173\pi\) |
−0.830898 | + | 0.556424i | \(0.812173\pi\) | |||||||
\(978\) | −1.60912 | + | 12.8207i | −0.0514541 | + | 0.409960i | ||||
\(979\) | −60.1042 | − | 19.5291i | −1.92094 | − | 0.624151i | ||||
\(980\) | 15.3336 | − | 0.198615i | 0.489812 | − | 0.00634451i | ||||
\(981\) | −14.9520 | + | 37.4584i | −0.477379 | + | 1.19596i | ||||
\(982\) | 4.39231 | + | 7.38979i | 0.140164 | + | 0.235818i | ||||
\(983\) | −4.78636 | − | 14.7309i | −0.152661 | − | 0.469843i | 0.845255 | − | 0.534363i | \(-0.179448\pi\) |
−0.997916 | + | 0.0645201i | \(0.979448\pi\) | |||||||
\(984\) | 32.2230 | − | 23.6689i | 1.02723 | − | 0.754538i | ||||
\(985\) | −17.4881 | + | 9.80973i | −0.557217 | + | 0.312564i | ||||
\(986\) | 34.5139 | + | 14.8453i | 1.09915 | + | 0.472772i | ||||
\(987\) | −25.5139 | + | 17.2872i | −0.812115 | + | 0.550257i | ||||
\(988\) | 1.87599 | + | 3.94152i | 0.0596833 | + | 0.125397i | ||||
\(989\) | 4.41539 | + | 6.07726i | 0.140401 | + | 0.193246i | ||||
\(990\) | −33.9338 | − | 9.56652i | −1.07849 | − | 0.304044i | ||||
\(991\) | −19.6776 | + | 27.0839i | −0.625079 | + | 0.860347i | −0.997710 | − | 0.0676321i | \(-0.978456\pi\) |
0.372631 | + | 0.927979i | \(0.378456\pi\) | |||||||
\(992\) | 0.589661 | − | 4.00818i | 0.0187218 | − | 0.127260i | ||||
\(993\) | 11.5592 | − | 31.9669i | 0.366821 | − | 1.01444i | ||||
\(994\) | −10.6568 | − | 9.35363i | −0.338014 | − | 0.296679i | ||||
\(995\) | −25.5682 | − | 23.6021i | −0.810565 | − | 0.748238i | ||||
\(996\) | 16.4615 | + | 37.7283i | 0.521602 | + | 1.19547i | ||||
\(997\) | 16.8000 | − | 51.7049i | 0.532060 | − | 1.63751i | −0.217858 | − | 0.975981i | \(-0.569907\pi\) |
0.749918 | − | 0.661531i | \(-0.230093\pi\) | |||||||
\(998\) | 18.7924 | − | 43.6904i | 0.594862 | − | 1.38299i | ||||
\(999\) | −10.4608 | − | 17.8586i | −0.330966 | − | 0.565021i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 300.2.n.a.11.7 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.50 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.27 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.30 | yes | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.30 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.27 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.50 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.7 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.7 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.11.27 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.11.30 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.11.50 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.191.7 | yes | 224 | 300.191 | even | 10 | inner | |
300.2.n.a.191.27 | yes | 224 | 75.41 | odd | 10 | inner | |
300.2.n.a.191.30 | yes | 224 | 25.16 | even | 5 | inner | |
300.2.n.a.191.50 | yes | 224 | 100.91 | odd | 10 | inner |