Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.a.184.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.954534 | + | 2.48665i | −0.674957 | + | 1.75832i | −0.0233981 | + | 0.999726i | \(0.507449\pi\) |
−0.651559 | + | 0.758598i | \(0.725885\pi\) | |||||||
\(3\) | −0.669131 | − | 0.743145i | −0.386323 | − | 0.429055i | ||||
\(4\) | −3.78598 | − | 3.40891i | −1.89299 | − | 1.70446i | ||||
\(5\) | −2.07220 | − | 0.328204i | −0.926715 | − | 0.146777i | −0.325206 | − | 0.945643i | \(-0.605434\pi\) |
−0.601509 | + | 0.798866i | \(0.705434\pi\) | |||||||
\(6\) | 2.48665 | − | 0.954534i | 1.01517 | − | 0.389687i | ||||
\(7\) | 3.34409 | − | 0.175256i | 1.26395 | − | 0.0662406i | 0.591450 | − | 0.806342i | \(-0.298556\pi\) |
0.672496 | + | 0.740101i | \(0.265222\pi\) | |||||||
\(8\) | 7.34411 | − | 3.74201i | 2.59654 | − | 1.32300i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | 2.79411 | − | 4.83954i | 0.883575 | − | 1.53040i | ||||
\(11\) | 0.0646015 | + | 3.31600i | 0.0194781 | + | 0.999810i | ||||
\(12\) | 5.09454i | 1.47067i | ||||||||
\(13\) | 3.38654 | + | 1.23746i | 0.939259 | + | 0.343210i | ||||
\(14\) | −2.75624 | + | 8.48285i | −0.736637 | + | 2.26714i | ||||
\(15\) | 1.14267 | + | 1.75955i | 0.295036 | + | 0.454315i | ||||
\(16\) | 1.22981 | + | 11.7008i | 0.307451 | + | 2.92520i | ||||
\(17\) | −5.41215 | − | 2.40964i | −1.31264 | − | 0.584424i | −0.373394 | − | 0.927673i | \(-0.621806\pi\) |
−0.939245 | + | 0.343248i | \(0.888473\pi\) | |||||||
\(18\) | −2.37325 | − | 1.20923i | −0.559380 | − | 0.285018i | ||||
\(19\) | 0.660383 | − | 1.01690i | 0.151502 | − | 0.233293i | −0.754768 | − | 0.655992i | \(-0.772251\pi\) |
0.906270 | + | 0.422699i | \(0.138917\pi\) | |||||||
\(20\) | 6.72649 | + | 8.30652i | 1.50409 | + | 1.85739i | ||||
\(21\) | −2.36787 | − | 2.36787i | −0.516712 | − | 0.516712i | ||||
\(22\) | −8.30737 | − | 3.00459i | −1.77114 | − | 0.640581i | ||||
\(23\) | 1.31127 | + | 0.757065i | 0.273420 | + | 0.157859i | 0.630441 | − | 0.776237i | \(-0.282874\pi\) |
−0.357021 | + | 0.934096i | \(0.616208\pi\) | |||||||
\(24\) | −7.69503 | − | 2.95384i | −1.57074 | − | 0.602951i | ||||
\(25\) | −0.568994 | − | 0.184877i | −0.113799 | − | 0.0369755i | ||||
\(26\) | −6.30970 | + | 7.23994i | −1.23743 | + | 1.41987i | ||||
\(27\) | 0.809017 | − | 0.587785i | 0.155695 | − | 0.113119i | ||||
\(28\) | −13.2581 | − | 10.7362i | −2.50554 | − | 2.02895i | ||||
\(29\) | −1.69899 | + | 7.99310i | −0.315494 | + | 1.48428i | 0.479435 | + | 0.877578i | \(0.340842\pi\) |
−0.794928 | + | 0.606703i | \(0.792492\pi\) | |||||||
\(30\) | −5.46610 | + | 1.16186i | −0.997970 | + | 0.212125i | ||||
\(31\) | 1.24224 | + | 7.84318i | 0.223113 | + | 1.40868i | 0.803969 | + | 0.594671i | \(0.202718\pi\) |
−0.580856 | + | 0.814006i | \(0.697282\pi\) | |||||||
\(32\) | −14.3464 | − | 3.84411i | −2.53611 | − | 0.679549i | ||||
\(33\) | 2.42104 | − | 2.26684i | 0.421449 | − | 0.394607i | ||||
\(34\) | 11.1580 | − | 11.1580i | 1.91358 | − | 1.91358i | ||||
\(35\) | −6.98713 | − | 0.734377i | −1.18104 | − | 0.124132i | ||||
\(36\) | 3.78598 | − | 3.40891i | 0.630997 | − | 0.568152i | ||||
\(37\) | −3.96179 | + | 2.57282i | −0.651315 | + | 0.422969i | −0.827560 | − | 0.561378i | \(-0.810272\pi\) |
0.176245 | + | 0.984346i | \(0.443605\pi\) | |||||||
\(38\) | 1.89831 | + | 2.61280i | 0.307947 | + | 0.423853i | ||||
\(39\) | −1.34643 | − | 3.34472i | −0.215601 | − | 0.535583i | ||||
\(40\) | −16.4466 | + | 5.34382i | −2.60044 | + | 0.844933i | ||||
\(41\) | 9.03876 | + | 0.473701i | 1.41162 | + | 0.0739797i | 0.742833 | − | 0.669477i | \(-0.233482\pi\) |
0.668784 | + | 0.743456i | \(0.266815\pi\) | |||||||
\(42\) | 8.14827 | − | 3.62784i | 1.25731 | − | 0.559788i | ||||
\(43\) | 4.99458 | + | 8.65087i | 0.761666 | + | 1.31925i | 0.941991 | + | 0.335638i | \(0.108952\pi\) |
−0.180325 | + | 0.983607i | \(0.557715\pi\) | |||||||
\(44\) | 11.0594 | − | 12.7745i | 1.66726 | − | 1.92583i | ||||
\(45\) | 0.543010 | − | 2.02654i | 0.0809471 | − | 0.302099i | ||||
\(46\) | −3.13421 | + | 2.53803i | −0.462114 | + | 0.374212i | ||||
\(47\) | 4.23370 | + | 8.30910i | 0.617548 | + | 1.21201i | 0.961961 | + | 0.273188i | \(0.0880783\pi\) |
−0.344412 | + | 0.938819i | \(0.611922\pi\) | |||||||
\(48\) | 7.87250 | − | 8.74330i | 1.13630 | − | 1.26199i | ||||
\(49\) | 4.19055 | − | 0.440444i | 0.598649 | − | 0.0629206i | ||||
\(50\) | 1.00285 | − | 1.23842i | 0.141824 | − | 0.175138i | ||||
\(51\) | 1.83072 | + | 5.63438i | 0.256352 | + | 0.788971i | ||||
\(52\) | −8.60299 | − | 16.2295i | −1.19302 | − | 2.25062i | ||||
\(53\) | 7.89286 | + | 5.73450i | 1.08417 | + | 0.787694i | 0.978405 | − | 0.206697i | \(-0.0662716\pi\) |
0.105763 | + | 0.994391i | \(0.466272\pi\) | |||||||
\(54\) | 0.689380 | + | 2.57280i | 0.0938127 | + | 0.350114i | ||||
\(55\) | 0.954456 | − | 6.89260i | 0.128699 | − | 0.929398i | ||||
\(56\) | 23.9035 | − | 13.8007i | 3.19424 | − | 1.84420i | ||||
\(57\) | −1.19759 | + | 0.189679i | −0.158624 | + | 0.0251236i | ||||
\(58\) | −18.2543 | − | 11.8545i | −2.39690 | − | 1.55657i | ||||
\(59\) | −0.174633 | − | 3.33220i | −0.0227353 | − | 0.433816i | −0.986156 | − | 0.165822i | \(-0.946972\pi\) |
0.963420 | − | 0.267995i | \(-0.0863609\pi\) | |||||||
\(60\) | 1.67205 | − | 10.5569i | 0.215861 | − | 1.36289i | ||||
\(61\) | 0.142894 | − | 0.320946i | 0.0182958 | − | 0.0410930i | −0.904166 | − | 0.427180i | \(-0.859507\pi\) |
0.922462 | + | 0.386087i | \(0.126174\pi\) | |||||||
\(62\) | −20.6890 | − | 4.39758i | −2.62750 | − | 0.558493i | ||||
\(63\) | −0.175256 | + | 3.34409i | −0.0220802 | + | 0.421315i | ||||
\(64\) | 9.42216 | − | 12.9685i | 1.17777 | − | 1.62106i | ||||
\(65\) | −6.61145 | − | 3.67575i | −0.820050 | − | 0.455920i | ||||
\(66\) | 3.32587 | + | 8.18404i | 0.409386 | + | 1.00739i | ||||
\(67\) | −7.70540 | + | 2.06466i | −0.941365 | + | 0.252238i | −0.696694 | − | 0.717368i | \(-0.745347\pi\) |
−0.244671 | + | 0.969606i | \(0.578680\pi\) | |||||||
\(68\) | 12.2760 | + | 27.5724i | 1.48869 | + | 3.34365i | ||||
\(69\) | −0.314805 | − | 1.48104i | −0.0378981 | − | 0.178296i | ||||
\(70\) | 8.49559 | − | 16.6735i | 1.01542 | − | 1.99287i | ||||
\(71\) | −5.24728 | − | 13.6696i | −0.622737 | − | 1.62229i | −0.773558 | − | 0.633725i | \(-0.781525\pi\) |
0.150821 | − | 0.988561i | \(-0.451808\pi\) | |||||||
\(72\) | 2.95384 | + | 7.69503i | 0.348114 | + | 0.906868i | ||||
\(73\) | −0.0667167 | + | 0.130939i | −0.00780860 | + | 0.0153252i | −0.894878 | − | 0.446311i | \(-0.852737\pi\) |
0.887069 | + | 0.461636i | \(0.152737\pi\) | |||||||
\(74\) | −2.61602 | − | 12.3074i | −0.304106 | − | 1.43071i | ||||
\(75\) | 0.243341 | + | 0.546552i | 0.0280986 | + | 0.0631104i | ||||
\(76\) | −5.96672 | + | 1.59878i | −0.684430 | + | 0.183393i | ||||
\(77\) | 0.797181 | + | 11.0777i | 0.0908473 | + | 1.26242i | ||||
\(78\) | 9.60234 | − | 0.155440i | 1.08725 | − | 0.0176001i | ||||
\(79\) | 1.75369 | − | 2.41375i | 0.197306 | − | 0.271568i | −0.698888 | − | 0.715231i | \(-0.746321\pi\) |
0.896194 | + | 0.443663i | \(0.146321\pi\) | |||||||
\(80\) | 1.29185 | − | 24.6500i | 0.144434 | − | 2.75596i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | −9.80573 | + | 22.0240i | −1.08286 | + | 2.43215i | ||||
\(83\) | 0.573738 | − | 3.62244i | 0.0629759 | − | 0.397614i | −0.935985 | − | 0.352040i | \(-0.885488\pi\) |
0.998961 | − | 0.0455744i | \(-0.0145118\pi\) | |||||||
\(84\) | 0.892850 | + | 17.0366i | 0.0974179 | + | 1.85884i | ||||
\(85\) | 10.4242 | + | 6.76955i | 1.13066 | + | 0.734261i | ||||
\(86\) | −26.2791 | + | 4.16221i | −2.83375 | + | 0.448822i | ||||
\(87\) | 7.07687 | − | 4.08583i | 0.758720 | − | 0.438047i | ||||
\(88\) | 12.8829 | + | 24.1113i | 1.37333 | + | 2.57027i | ||||
\(89\) | 0.840603 | + | 3.13717i | 0.0891037 | + | 0.332540i | 0.996060 | − | 0.0886860i | \(-0.0282668\pi\) |
−0.906956 | + | 0.421226i | \(0.861600\pi\) | |||||||
\(90\) | 4.52097 | + | 3.28467i | 0.476552 | + | 0.346235i | ||||
\(91\) | 11.5418 | + | 3.54467i | 1.20991 | + | 0.371582i | ||||
\(92\) | −2.38369 | − | 7.33625i | −0.248517 | − | 0.764857i | ||||
\(93\) | 4.99740 | − | 6.17128i | 0.518206 | − | 0.639932i | ||||
\(94\) | −24.7030 | + | 2.59639i | −2.54792 | + | 0.267797i | ||||
\(95\) | −1.70220 | + | 1.89048i | −0.174642 | + | 0.193959i | ||||
\(96\) | 6.74289 | + | 13.2337i | 0.688193 | + | 1.35066i | ||||
\(97\) | 4.91055 | − | 3.97649i | 0.498591 | − | 0.403751i | −0.346767 | − | 0.937951i | \(-0.612721\pi\) |
0.845358 | + | 0.534200i | \(0.179387\pi\) | |||||||
\(98\) | −2.90479 | + | 10.8408i | −0.293428 | + | 1.09509i | ||||
\(99\) | −3.30458 | − | 0.282368i | −0.332123 | − | 0.0283791i | ||||
\(100\) | 1.52397 | + | 2.63960i | 0.152397 | + | 0.263960i | ||||
\(101\) | 4.62108 | − | 2.05744i | 0.459815 | − | 0.204723i | −0.163738 | − | 0.986504i | \(-0.552355\pi\) |
0.623553 | + | 0.781781i | \(0.285689\pi\) | |||||||
\(102\) | −15.7582 | − | 0.825851i | −1.56029 | − | 0.0817715i | ||||
\(103\) | −1.40622 | + | 0.456909i | −0.138559 | + | 0.0450206i | −0.377476 | − | 0.926020i | \(-0.623208\pi\) |
0.238916 | + | 0.971040i | \(0.423208\pi\) | |||||||
\(104\) | 29.5018 | − | 3.58443i | 2.89289 | − | 0.351482i | ||||
\(105\) | 4.12955 | + | 5.68384i | 0.403003 | + | 0.554686i | ||||
\(106\) | −21.7937 | + | 14.1530i | −2.11679 | + | 1.37466i | ||||
\(107\) | 1.65555 | − | 1.49066i | 0.160048 | − | 0.144108i | −0.585216 | − | 0.810878i | \(-0.698990\pi\) |
0.745264 | + | 0.666770i | \(0.232324\pi\) | |||||||
\(108\) | −5.06663 | − | 0.532525i | −0.487537 | − | 0.0512422i | ||||
\(109\) | 2.67006 | − | 2.67006i | 0.255745 | − | 0.255745i | −0.567576 | − | 0.823321i | \(-0.692119\pi\) |
0.823321 | + | 0.567576i | \(0.192119\pi\) | |||||||
\(110\) | 16.2284 | + | 8.95262i | 1.54732 | + | 0.853598i | ||||
\(111\) | 4.56293 | + | 1.22263i | 0.433095 | + | 0.116047i | ||||
\(112\) | 6.16322 | + | 38.9130i | 0.582369 | + | 3.67693i | ||||
\(113\) | 6.43875 | − | 1.36860i | 0.605707 | − | 0.128747i | 0.105158 | − | 0.994456i | \(-0.466465\pi\) |
0.500548 | + | 0.865709i | \(0.333132\pi\) | |||||||
\(114\) | 0.671472 | − | 3.15903i | 0.0628892 | − | 0.295870i | ||||
\(115\) | −2.46875 | − | 1.99915i | −0.230212 | − | 0.186422i | ||||
\(116\) | 33.6801 | − | 24.4700i | 3.12712 | − | 2.27199i | ||||
\(117\) | −1.58467 | + | 3.23864i | −0.146503 | + | 0.299413i | ||||
\(118\) | 8.45271 | + | 2.74645i | 0.778135 | + | 0.252831i | ||||
\(119\) | −18.5210 | − | 7.10954i | −1.69782 | − | 0.651731i | ||||
\(120\) | 14.9762 | + | 8.64649i | 1.36713 | + | 0.789313i | ||||
\(121\) | −10.9917 | + | 0.428436i | −0.999241 | + | 0.0389488i | ||||
\(122\) | 0.661682 | + | 0.661682i | 0.0599059 | + | 0.0599059i | ||||
\(123\) | −5.69608 | − | 7.03408i | −0.513599 | − | 0.634241i | ||||
\(124\) | 22.0336 | − | 33.9288i | 1.97868 | − | 3.04690i | ||||
\(125\) | 10.4652 | + | 5.33227i | 0.936034 | + | 0.476933i | ||||
\(126\) | −8.14827 | − | 3.62784i | −0.725906 | − | 0.323194i | ||||
\(127\) | 1.25775 | + | 11.9667i | 0.111607 | + | 1.06187i | 0.896744 | + | 0.442551i | \(0.145926\pi\) |
−0.785136 | + | 0.619323i | \(0.787407\pi\) | |||||||
\(128\) | 7.07579 | + | 10.8958i | 0.625417 | + | 0.963058i | ||||
\(129\) | 3.08682 | − | 9.50026i | 0.271779 | − | 0.836451i | ||||
\(130\) | 15.4511 | − | 12.9317i | 1.35515 | − | 1.13419i | ||||
\(131\) | − | 3.81889i | − | 0.333658i | −0.985986 | − | 0.166829i | \(-0.946647\pi\) | ||
0.985986 | − | 0.166829i | \(-0.0533528\pi\) | |||||||
\(132\) | −16.8935 | + | 0.329115i | −1.47039 | + | 0.0286458i | ||||
\(133\) | 2.03016 | − | 3.51634i | 0.176037 | − | 0.304905i | ||||
\(134\) | 2.22100 | − | 21.1314i | 0.191865 | − | 1.82547i | ||||
\(135\) | −1.86936 | + | 0.952485i | −0.160889 | + | 0.0819769i | ||||
\(136\) | −48.7643 | + | 2.55563i | −4.18151 | + | 0.219144i | ||||
\(137\) | −9.80350 | + | 3.76321i | −0.837569 | + | 0.321513i | −0.739074 | − | 0.673625i | \(-0.764736\pi\) |
−0.0984957 | + | 0.995137i | \(0.531403\pi\) | |||||||
\(138\) | 3.98332 | + | 0.630896i | 0.339083 | + | 0.0537054i | ||||
\(139\) | 5.06747 | + | 4.56277i | 0.429817 | + | 0.387009i | 0.855449 | − | 0.517888i | \(-0.173281\pi\) |
−0.425632 | + | 0.904896i | \(0.639948\pi\) | |||||||
\(140\) | 23.9497 | + | 26.5989i | 2.02412 | + | 2.24801i | ||||
\(141\) | 3.34197 | − | 8.70613i | 0.281445 | − | 0.733188i | ||||
\(142\) | 39.0002 | 3.27283 | ||||||||
\(143\) | −3.88465 | + | 11.3097i | −0.324850 | + | 0.945765i | ||||
\(144\) | −11.7653 | −0.980439 | ||||||||
\(145\) | 6.14400 | − | 16.0057i | 0.510232 | − | 1.32920i | ||||
\(146\) | −0.261915 | − | 0.290887i | −0.0216763 | − | 0.0240739i | ||||
\(147\) | −3.13134 | − | 2.81947i | −0.258268 | − | 0.232546i | ||||
\(148\) | 23.7698 | + | 3.76477i | 1.95387 | + | 0.309462i | ||||
\(149\) | −5.48831 | + | 2.10677i | −0.449620 | + | 0.172593i | −0.572633 | − | 0.819812i | \(-0.694078\pi\) |
0.123012 | + | 0.992405i | \(0.460744\pi\) | |||||||
\(150\) | −1.59136 | + | 0.0833996i | −0.129934 | + | 0.00680955i | ||||
\(151\) | −2.56588 | + | 1.30738i | −0.208808 | + | 0.106393i | −0.555267 | − | 0.831672i | \(-0.687384\pi\) |
0.346459 | + | 0.938065i | \(0.387384\pi\) | |||||||
\(152\) | 1.04467 | − | 9.93939i | 0.0847341 | − | 0.806191i | ||||
\(153\) | 2.96217 | − | 5.13062i | 0.239477 | − | 0.414786i | ||||
\(154\) | −28.3071 | − | 8.59169i | −2.28105 | − | 0.692338i | ||||
\(155\) | − | 16.6603i | − | 1.33819i | ||||||
\(156\) | −6.30431 | + | 17.2529i | −0.504748 | + | 1.38134i | ||||
\(157\) | −3.55805 | + | 10.9505i | −0.283963 | + | 0.873949i | 0.702744 | + | 0.711443i | \(0.251958\pi\) |
−0.986707 | + | 0.162506i | \(0.948042\pi\) | |||||||
\(158\) | 4.32818 | + | 6.66481i | 0.344331 | + | 0.530224i | ||||
\(159\) | −1.01979 | − | 9.70267i | −0.0808747 | − | 0.769472i | ||||
\(160\) | 28.4670 | + | 12.6743i | 2.25051 | + | 1.00199i | ||||
\(161\) | 4.51770 | + | 2.30188i | 0.356044 | + | 0.181414i | ||||
\(162\) | 1.45068 | − | 2.23385i | 0.113976 | − | 0.175508i | ||||
\(163\) | −3.25102 | − | 4.01468i | −0.254640 | − | 0.314454i | 0.633755 | − | 0.773534i | \(-0.281513\pi\) |
−0.888395 | + | 0.459080i | \(0.848179\pi\) | |||||||
\(164\) | −32.6058 | − | 32.6058i | −2.54608 | − | 2.54608i | ||||
\(165\) | −5.76086 | + | 3.90275i | −0.448482 | + | 0.303829i | ||||
\(166\) | 8.46006 | + | 4.88442i | 0.656628 | + | 0.379105i | ||||
\(167\) | −10.9754 | − | 4.21308i | −0.849305 | − | 0.326018i | −0.105504 | − | 0.994419i | \(-0.533646\pi\) |
−0.743801 | + | 0.668401i | \(0.766979\pi\) | |||||||
\(168\) | −26.2505 | − | 8.52931i | −2.02527 | − | 0.658051i | ||||
\(169\) | 9.93737 | + | 8.38145i | 0.764413 | + | 0.644727i | ||||
\(170\) | −26.7837 | + | 19.4595i | −2.05422 | + | 1.49248i | ||||
\(171\) | 0.942301 | + | 0.763060i | 0.0720596 | + | 0.0583527i | ||||
\(172\) | 10.5807 | − | 49.7781i | 0.806768 | − | 3.79555i | ||||
\(173\) | −13.6772 | + | 2.90719i | −1.03986 | + | 0.221029i | −0.696038 | − | 0.718005i | \(-0.745055\pi\) |
−0.343823 | + | 0.939034i | \(0.611722\pi\) | |||||||
\(174\) | 3.40491 | + | 21.4977i | 0.258125 | + | 1.62974i | ||||
\(175\) | −1.93517 | − | 0.518526i | −0.146285 | − | 0.0391969i | ||||
\(176\) | −38.7204 | + | 4.83392i | −2.91866 | + | 0.364370i | ||||
\(177\) | −2.35946 | + | 2.35946i | −0.177348 | + | 0.177348i | ||||
\(178\) | −8.60342 | − | 0.904256i | −0.644853 | − | 0.0677768i | ||||
\(179\) | 7.35684 | − | 6.62413i | 0.549876 | − | 0.495111i | −0.346715 | − | 0.937971i | \(-0.612703\pi\) |
0.896591 | + | 0.442860i | \(0.146036\pi\) | |||||||
\(180\) | −8.96412 | + | 5.82137i | −0.668146 | + | 0.433899i | ||||
\(181\) | −6.45105 | − | 8.87911i | −0.479503 | − | 0.659979i | 0.498907 | − | 0.866656i | \(-0.333735\pi\) |
−0.978409 | + | 0.206677i | \(0.933735\pi\) | |||||||
\(182\) | −19.8313 | + | 25.3168i | −1.47000 | + | 1.87661i | ||||
\(183\) | −0.334125 | + | 0.108564i | −0.0246992 | + | 0.00802526i | ||||
\(184\) | 12.4631 | + | 0.653163i | 0.918791 | + | 0.0481518i | ||||
\(185\) | 9.05403 | − | 4.03111i | 0.665666 | − | 0.296373i | ||||
\(186\) | 10.5756 | + | 18.3175i | 0.775440 | + | 1.34310i | ||||
\(187\) | 7.64074 | − | 18.1023i | 0.558746 | − | 1.32377i | ||||
\(188\) | 12.2963 | − | 45.8904i | 0.896800 | − | 3.34690i | ||||
\(189\) | 2.60241 | − | 2.10739i | 0.189297 | − | 0.153290i | ||||
\(190\) | −3.07615 | − | 6.03728i | −0.223167 | − | 0.437991i | ||||
\(191\) | 5.64682 | − | 6.27142i | 0.408589 | − | 0.453784i | −0.503366 | − | 0.864073i | \(-0.667905\pi\) |
0.911956 | + | 0.410289i | \(0.134572\pi\) | |||||||
\(192\) | −15.9421 | + | 1.67559i | −1.15052 | + | 0.120925i | ||||
\(193\) | 12.9617 | − | 16.0064i | 0.933006 | − | 1.15217i | −0.0551134 | − | 0.998480i | \(-0.517552\pi\) |
0.988120 | − | 0.153687i | \(-0.0491146\pi\) | |||||||
\(194\) | 5.20082 | + | 16.0065i | 0.373397 | + | 1.14920i | ||||
\(195\) | 1.69231 | + | 7.37282i | 0.121189 | + | 0.527979i | ||||
\(196\) | −17.3668 | − | 12.6177i | −1.24048 | − | 0.901264i | ||||
\(197\) | 6.16316 | + | 23.0012i | 0.439107 | + | 1.63877i | 0.731043 | + | 0.682332i | \(0.239034\pi\) |
−0.291936 | + | 0.956438i | \(0.594299\pi\) | |||||||
\(198\) | 3.85649 | − | 7.94780i | 0.274069 | − | 0.564825i | ||||
\(199\) | −0.924911 | + | 0.533998i | −0.0655652 | + | 0.0378541i | −0.532424 | − | 0.846478i | \(-0.678719\pi\) |
0.466859 | + | 0.884332i | \(0.345386\pi\) | |||||||
\(200\) | −4.87057 | + | 0.771423i | −0.344401 | + | 0.0545478i | ||||
\(201\) | 6.69026 | + | 4.34471i | 0.471895 | + | 0.306452i | ||||
\(202\) | 0.705140 | + | 13.4549i | 0.0496135 | + | 0.946682i | ||||
\(203\) | −4.28071 | + | 27.0274i | −0.300447 | + | 1.89695i | ||||
\(204\) | 12.2760 | − | 27.5724i | 0.859494 | − | 1.93046i | ||||
\(205\) | −18.5746 | − | 3.94816i | −1.29731 | − | 0.275752i | ||||
\(206\) | 0.206115 | − | 3.93291i | 0.0143607 | − | 0.274019i | ||||
\(207\) | −0.889983 | + | 1.22496i | −0.0618581 | + | 0.0851403i | ||||
\(208\) | −10.3145 | + | 41.1472i | −0.715184 | + | 2.85304i | ||||
\(209\) | 3.41470 | + | 2.12413i | 0.236200 | + | 0.146929i | ||||
\(210\) | −18.0755 | + | 4.84332i | −1.24733 | + | 0.334221i | ||||
\(211\) | −2.44798 | − | 5.49826i | −0.168526 | − | 0.378516i | 0.809463 | − | 0.587171i | \(-0.199758\pi\) |
−0.977989 | + | 0.208655i | \(0.933092\pi\) | |||||||
\(212\) | −10.3338 | − | 48.6168i | −0.709729 | − | 3.33901i | ||||
\(213\) | −6.64740 | + | 13.0463i | −0.455472 | + | 0.893915i | ||||
\(214\) | 2.12647 | + | 5.53965i | 0.145363 | + | 0.378683i | ||||
\(215\) | −7.51051 | − | 19.5656i | −0.512213 | − | 1.33436i | ||||
\(216\) | 3.74201 | − | 7.34411i | 0.254612 | − | 0.499704i | ||||
\(217\) | 5.52872 | + | 26.0106i | 0.375314 | + | 1.76571i | ||||
\(218\) | 4.09083 | + | 9.18815i | 0.277066 | + | 0.622300i | ||||
\(219\) | 0.141949 | − | 0.0380351i | 0.00959201 | − | 0.00257017i | ||||
\(220\) | −27.1098 | + | 22.8416i | −1.82775 | + | 1.53998i | ||||
\(221\) | −15.3466 | − | 14.8577i | −1.03233 | − | 0.999437i | ||||
\(222\) | −7.39573 | + | 10.1794i | −0.496369 | + | 0.683193i | ||||
\(223\) | 1.17943 | − | 22.5049i | 0.0789804 | − | 1.50704i | −0.615850 | − | 0.787863i | \(-0.711187\pi\) |
0.694831 | − | 0.719173i | \(-0.255479\pi\) | |||||||
\(224\) | −48.6493 | − | 10.3407i | −3.25052 | − | 0.690919i | ||||
\(225\) | 0.243341 | − | 0.546552i | 0.0162227 | − | 0.0364368i | ||||
\(226\) | −2.74278 | + | 17.3173i | −0.182447 | + | 1.15193i | ||||
\(227\) | 0.785654 | + | 14.9912i | 0.0521457 | + | 0.994999i | 0.891957 | + | 0.452120i | \(0.149332\pi\) |
−0.839811 | + | 0.542878i | \(0.817334\pi\) | |||||||
\(228\) | 5.18064 | + | 3.36435i | 0.343096 | + | 0.222809i | ||||
\(229\) | 20.6295 | − | 3.26739i | 1.36323 | − | 0.215915i | 0.568405 | − | 0.822749i | \(-0.307561\pi\) |
0.794829 | + | 0.606834i | \(0.207561\pi\) | |||||||
\(230\) | 7.32769 | − | 4.23064i | 0.483174 | − | 0.278960i | ||||
\(231\) | 7.69888 | − | 8.00482i | 0.506549 | − | 0.526678i | ||||
\(232\) | 17.4327 | + | 65.0598i | 1.14451 | + | 4.27139i | ||||
\(233\) | −11.4748 | − | 8.33693i | −0.751739 | − | 0.546170i | 0.144626 | − | 0.989486i | \(-0.453802\pi\) |
−0.896365 | + | 0.443316i | \(0.853802\pi\) | |||||||
\(234\) | −6.54073 | − | 7.03192i | −0.427581 | − | 0.459691i | ||||
\(235\) | −6.04598 | − | 18.6076i | −0.394396 | − | 1.21383i | ||||
\(236\) | −10.6980 | + | 13.2110i | −0.696383 | + | 0.859961i | ||||
\(237\) | −2.96721 | + | 0.311866i | −0.192741 | + | 0.0202579i | ||||
\(238\) | 35.3578 | − | 39.2689i | 2.29191 | − | 2.54542i | ||||
\(239\) | −11.9990 | − | 23.5493i | −0.776148 | − | 1.52328i | −0.850459 | − | 0.526042i | \(-0.823676\pi\) |
0.0743106 | − | 0.997235i | \(-0.476324\pi\) | |||||||
\(240\) | −19.1830 | + | 15.5341i | −1.23826 | + | 1.00272i | ||||
\(241\) | −3.08510 | + | 11.5138i | −0.198729 | + | 0.741666i | 0.792541 | + | 0.609818i | \(0.208758\pi\) |
−0.991270 | + | 0.131848i | \(0.957909\pi\) | |||||||
\(242\) | 9.42654 | − | 27.7413i | 0.605961 | − | 1.78328i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −1.63507 | + | 0.727982i | −0.104675 | + | 0.0466043i | ||||
\(245\) | −8.82820 | − | 0.462666i | −0.564013 | − | 0.0295587i | ||||
\(246\) | 22.9284 | − | 7.44988i | 1.46186 | − | 0.474987i | ||||
\(247\) | 3.49479 | − | 2.62658i | 0.222368 | − | 0.167125i | ||||
\(248\) | 38.4724 | + | 52.9528i | 2.44300 | + | 3.36250i | ||||
\(249\) | −3.07590 | + | 1.99751i | −0.194927 | + | 0.126587i | ||||
\(250\) | −23.2488 | + | 20.9334i | −1.47039 | + | 1.32394i | ||||
\(251\) | −12.1187 | − | 1.27373i | −0.764926 | − | 0.0803970i | −0.285973 | − | 0.958238i | \(-0.592317\pi\) |
−0.478953 | + | 0.877841i | \(0.658984\pi\) | |||||||
\(252\) | 12.0632 | − | 12.0632i | 0.759911 | − | 0.759911i | ||||
\(253\) | −2.42571 | + | 4.39709i | −0.152503 | + | 0.276443i | ||||
\(254\) | −30.9575 | − | 8.29505i | −1.94245 | − | 0.520478i | ||||
\(255\) | −1.94439 | − | 12.2764i | −0.121762 | − | 0.768778i | ||||
\(256\) | −2.48865 | + | 0.528979i | −0.155541 | + | 0.0330612i | ||||
\(257\) | 0.390498 | − | 1.83715i | 0.0243586 | − | 0.114598i | −0.964289 | − | 0.264854i | \(-0.914676\pi\) |
0.988647 | + | 0.150256i | \(0.0480097\pi\) | |||||||
\(258\) | 20.6773 | + | 16.7441i | 1.28731 | + | 1.04245i | ||||
\(259\) | −12.7977 | + | 9.29806i | −0.795209 | + | 0.577753i | ||||
\(260\) | 12.5005 | + | 36.4542i | 0.775251 | + | 2.26079i | ||||
\(261\) | −7.77172 | − | 2.52518i | −0.481057 | − | 0.156305i | ||||
\(262\) | 9.49623 | + | 3.64526i | 0.586679 | + | 0.225205i | ||||
\(263\) | −4.49530 | − | 2.59537i | −0.277192 | − | 0.160037i | 0.354959 | − | 0.934882i | \(-0.384495\pi\) |
−0.632152 | + | 0.774845i | \(0.717828\pi\) | |||||||
\(264\) | 9.29782 | − | 25.7075i | 0.572242 | − | 1.58219i | ||||
\(265\) | −14.4735 | − | 14.4735i | −0.889099 | − | 0.889099i | ||||
\(266\) | 6.80603 | + | 8.40475i | 0.417305 | + | 0.515328i | ||||
\(267\) | 1.76890 | − | 2.72387i | 0.108255 | − | 0.166698i | ||||
\(268\) | 36.2108 | + | 18.4503i | 2.21192 | + | 1.12703i | ||||
\(269\) | 29.9431 | + | 13.3315i | 1.82566 | + | 0.812837i | 0.928917 | + | 0.370288i | \(0.120741\pi\) |
0.896744 | + | 0.442549i | \(0.145926\pi\) | |||||||
\(270\) | −0.584128 | − | 5.55761i | −0.0355489 | − | 0.338225i | ||||
\(271\) | −10.2162 | − | 15.7315i | −0.620588 | − | 0.955622i | −0.999544 | − | 0.0302072i | \(-0.990383\pi\) |
0.378955 | − | 0.925415i | \(-0.376283\pi\) | |||||||
\(272\) | 21.5389 | − | 66.2900i | 1.30599 | − | 4.01942i | ||||
\(273\) | −5.08875 | − | 10.9491i | −0.307985 | − | 0.662667i | ||||
\(274\) | − | 27.9699i | − | 1.68973i | ||||||
\(275\) | 0.576295 | − | 1.89873i | 0.0347519 | − | 0.114497i | ||||
\(276\) | −3.85690 | + | 6.68034i | −0.232158 | + | 0.402109i | ||||
\(277\) | −1.99478 | + | 18.9791i | −0.119855 | + | 1.14034i | 0.754921 | + | 0.655816i | \(0.227675\pi\) |
−0.874776 | + | 0.484528i | \(0.838991\pi\) | |||||||
\(278\) | −16.1830 | + | 8.24568i | −0.970595 | + | 0.494543i | ||||
\(279\) | −7.93007 | + | 0.415597i | −0.474761 | + | 0.0248812i | ||||
\(280\) | −54.0623 | + | 20.7526i | −3.23084 | + | 1.24020i | ||||
\(281\) | −2.41834 | − | 0.383027i | −0.144266 | − | 0.0228495i | 0.0838838 | − | 0.996476i | \(-0.473268\pi\) |
−0.228150 | + | 0.973626i | \(0.573268\pi\) | |||||||
\(282\) | 18.4590 | + | 16.6206i | 1.09922 | + | 0.989741i | ||||
\(283\) | −17.3661 | − | 19.2870i | −1.03231 | − | 1.14649i | −0.989073 | − | 0.147427i | \(-0.952901\pi\) |
−0.0432332 | − | 0.999065i | \(-0.513766\pi\) | |||||||
\(284\) | −26.7325 | + | 69.6405i | −1.58628 | + | 4.13240i | ||||
\(285\) | 2.54389 | 0.150687 | ||||||||
\(286\) | −24.4152 | − | 20.4552i | −1.44370 | − | 1.20954i | ||||
\(287\) | 30.3094 | 1.78911 | ||||||||
\(288\) | 5.32266 | − | 13.8660i | 0.313641 | − | 0.817062i | ||||
\(289\) | 12.1097 | + | 13.4492i | 0.712338 | + | 0.791132i | ||||
\(290\) | 33.9358 | + | 30.5559i | 1.99278 | + | 1.79430i | ||||
\(291\) | −6.24090 | − | 0.988462i | −0.365848 | − | 0.0579447i | ||||
\(292\) | 0.698948 | − | 0.268301i | 0.0409028 | − | 0.0157011i | ||||
\(293\) | 29.5393 | − | 1.54809i | 1.72570 | − | 0.0904403i | 0.836504 | − | 0.547961i | \(-0.184596\pi\) |
0.889199 | + | 0.457520i | \(0.151262\pi\) | |||||||
\(294\) | 9.99998 | − | 5.09525i | 0.583211 | − | 0.297161i | ||||
\(295\) | −0.731768 | + | 6.96230i | −0.0426052 | + | 0.405361i | ||||
\(296\) | −19.4683 | + | 33.7201i | −1.13157 | + | 1.95994i | ||||
\(297\) | 2.00136 | + | 2.64472i | 0.116131 | + | 0.153463i | ||||
\(298\) | − | 15.6585i | − | 0.907071i | ||||||
\(299\) | 3.50385 | + | 4.18649i | 0.202633 | + | 0.242111i | ||||
\(300\) | 0.941866 | − | 2.89876i | 0.0543786 | − | 0.167360i | ||||
\(301\) | 18.2184 | + | 28.0539i | 1.05009 | + | 1.61700i | ||||
\(302\) | −0.801773 | − | 7.62836i | −0.0461369 | − | 0.438963i | ||||
\(303\) | −4.62108 | − | 2.05744i | −0.265474 | − | 0.118197i | ||||
\(304\) | 12.7107 | + | 6.47643i | 0.729009 | + | 0.371449i | ||||
\(305\) | −0.401442 | + | 0.618166i | −0.0229865 | + | 0.0353961i | ||||
\(306\) | 9.93055 | + | 12.2632i | 0.567692 | + | 0.701041i | ||||
\(307\) | 9.32480 | + | 9.32480i | 0.532195 | + | 0.532195i | 0.921225 | − | 0.389030i | \(-0.127190\pi\) |
−0.389030 | + | 0.921225i | \(0.627190\pi\) | |||||||
\(308\) | 34.7446 | − | 44.6573i | 1.97976 | − | 2.54459i | ||||
\(309\) | 1.28050 | + | 0.739294i | 0.0728448 | + | 0.0420570i | ||||
\(310\) | 41.4284 | + | 15.9029i | 2.35297 | + | 0.903222i | ||||
\(311\) | −14.7021 | − | 4.77701i | −0.833680 | − | 0.270879i | −0.139086 | − | 0.990280i | \(-0.544416\pi\) |
−0.694595 | + | 0.719401i | \(0.744416\pi\) | |||||||
\(312\) | −22.4043 | − | 19.5256i | −1.26839 | − | 1.10542i | ||||
\(313\) | 8.05854 | − | 5.85487i | 0.455496 | − | 0.330937i | −0.336266 | − | 0.941767i | \(-0.609164\pi\) |
0.791762 | + | 0.610830i | \(0.209164\pi\) | |||||||
\(314\) | −23.8339 | − | 19.3003i | −1.34502 | − | 1.08918i | ||||
\(315\) | 1.46071 | − | 6.87209i | 0.0823016 | − | 0.387198i | ||||
\(316\) | −14.8677 | + | 3.16023i | −0.836373 | + | 0.177777i | ||||
\(317\) | −2.60904 | − | 16.4728i | −0.146538 | − | 0.925205i | −0.945924 | − | 0.324387i | \(-0.894842\pi\) |
0.799386 | − | 0.600817i | \(-0.205158\pi\) | |||||||
\(318\) | 25.1005 | + | 6.72566i | 1.40757 | + | 0.377157i | ||||
\(319\) | −26.6148 | − | 5.11746i | −1.49014 | − | 0.286523i | ||||
\(320\) | −23.7809 | + | 23.7809i | −1.32939 | + | 1.32939i | ||||
\(321\) | −2.21556 | − | 0.232864i | −0.123660 | − | 0.0129972i | ||||
\(322\) | −10.0363 | + | 9.03668i | −0.559299 | + | 0.503595i | ||||
\(323\) | −6.02446 | + | 3.91233i | −0.335210 | + | 0.217688i | ||||
\(324\) | 2.99450 | + | 4.12157i | 0.166361 | + | 0.228976i | ||||
\(325\) | −1.69815 | − | 1.33021i | −0.0941962 | − | 0.0737865i | ||||
\(326\) | 13.0863 | − | 4.25200i | 0.724783 | − | 0.235496i | ||||
\(327\) | −3.77086 | − | 0.197622i | −0.208529 | − | 0.0109285i | ||||
\(328\) | 68.1543 | − | 30.3442i | 3.76319 | − | 1.67548i | ||||
\(329\) | 15.6141 | + | 27.0444i | 0.860832 | + | 1.49100i | ||||
\(330\) | −4.20583 | − | 18.0505i | −0.231523 | − | 0.993649i | ||||
\(331\) | 0.910748 | − | 3.39896i | 0.0500593 | − | 0.186824i | −0.936369 | − | 0.351018i | \(-0.885836\pi\) |
0.986428 | + | 0.164194i | \(0.0525023\pi\) | |||||||
\(332\) | −14.5207 | + | 11.7587i | −0.796929 | + | 0.645340i | ||||
\(333\) | −2.14460 | − | 4.20902i | −0.117524 | − | 0.230653i | ||||
\(334\) | 20.9529 | − | 23.2705i | 1.14649 | − | 1.27331i | ||||
\(335\) | 16.6448 | − | 1.74943i | 0.909400 | − | 0.0955818i | ||||
\(336\) | 24.7940 | − | 30.6180i | 1.35262 | − | 1.67035i | ||||
\(337\) | −1.32430 | − | 4.07577i | −0.0721392 | − | 0.222021i | 0.908486 | − | 0.417915i | \(-0.137239\pi\) |
−0.980625 | + | 0.195894i | \(0.937239\pi\) | |||||||
\(338\) | −30.3272 | + | 16.7103i | −1.64958 | + | 0.908923i | ||||
\(339\) | −5.32543 | − | 3.86915i | −0.289238 | − | 0.210143i | ||||
\(340\) | −16.3890 | − | 61.1646i | −0.888818 | − | 3.31711i | ||||
\(341\) | −25.9277 | + | 4.62594i | −1.40406 | + | 0.250509i | ||||
\(342\) | −2.79692 | + | 1.61480i | −0.151240 | + | 0.0873185i | ||||
\(343\) | −9.21578 | + | 1.45964i | −0.497605 | + | 0.0788129i | ||||
\(344\) | 69.0524 | + | 44.8432i | 3.72306 | + | 2.41778i | ||||
\(345\) | 0.166255 | + | 3.17233i | 0.00895086 | + | 0.170793i | ||||
\(346\) | 5.82624 | − | 36.7855i | 0.313221 | − | 1.97760i | ||||
\(347\) | −8.58450 | + | 19.2811i | −0.460840 | + | 1.03506i | 0.522392 | + | 0.852706i | \(0.325040\pi\) |
−0.983232 | + | 0.182359i | \(0.941627\pi\) | |||||||
\(348\) | −40.7212 | − | 8.65555i | −2.18288 | − | 0.463986i | ||||
\(349\) | −1.24124 | + | 23.6842i | −0.0664419 | + | 1.26779i | 0.738426 | + | 0.674334i | \(0.235569\pi\) |
−0.804868 | + | 0.593453i | \(0.797764\pi\) | |||||||
\(350\) | 3.13657 | − | 4.31712i | 0.167657 | − | 0.230760i | ||||
\(351\) | 3.46713 | − | 0.989433i | 0.185062 | − | 0.0528120i | ||||
\(352\) | 11.8202 | − | 47.8210i | 0.630021 | − | 2.54887i | ||||
\(353\) | 9.26241 | − | 2.48185i | 0.492988 | − | 0.132096i | −0.00375572 | − | 0.999993i | \(-0.501195\pi\) |
0.496744 | + | 0.867897i | \(0.334529\pi\) | |||||||
\(354\) | −3.61495 | − | 8.11932i | −0.192133 | − | 0.431537i | ||||
\(355\) | 6.38698 | + | 30.0484i | 0.338985 | + | 1.59480i | ||||
\(356\) | 7.51184 | − | 14.7428i | 0.398127 | − | 0.781368i | ||||
\(357\) | 7.10954 | + | 18.5210i | 0.376277 | + | 0.980235i | ||||
\(358\) | 9.44951 | + | 24.6168i | 0.499422 | + | 1.30104i | ||||
\(359\) | 15.9943 | − | 31.3907i | 0.844149 | − | 1.65674i | 0.0938986 | − | 0.995582i | \(-0.470067\pi\) |
0.750250 | − | 0.661154i | \(-0.229933\pi\) | |||||||
\(360\) | −3.59541 | − | 16.9151i | −0.189495 | − | 0.891503i | ||||
\(361\) | 7.13002 | + | 16.0143i | 0.375264 | + | 0.842857i | ||||
\(362\) | 28.2369 | − | 7.56607i | 1.48410 | − | 0.397664i | ||||
\(363\) | 7.67324 | + | 7.88171i | 0.402741 | + | 0.413683i | ||||
\(364\) | −31.6135 | − | 52.7650i | −1.65700 | − | 2.76564i | ||||
\(365\) | 0.181225 | − | 0.249435i | 0.00948575 | − | 0.0130560i | ||||
\(366\) | 0.0489739 | − | 0.934477i | 0.00255991 | − | 0.0488459i | ||||
\(367\) | 1.58163 | + | 0.336187i | 0.0825606 | + | 0.0175488i | 0.249007 | − | 0.968502i | \(-0.419896\pi\) |
−0.166446 | + | 0.986051i | \(0.553229\pi\) | |||||||
\(368\) | −7.24566 | + | 16.2740i | −0.377706 | + | 0.848342i | ||||
\(369\) | −1.41591 | + | 8.93973i | −0.0737096 | + | 0.465384i | ||||
\(370\) | 1.38157 | + | 26.3620i | 0.0718246 | + | 1.37050i | ||||
\(371\) | 27.3994 | + | 17.7934i | 1.42251 | + | 0.923787i | ||||
\(372\) | −39.9574 | + | 6.32863i | −2.07170 | + | 0.328124i | ||||
\(373\) | −23.7389 | + | 13.7056i | −1.22915 | + | 0.709651i | −0.966852 | − | 0.255336i | \(-0.917814\pi\) |
−0.262299 | + | 0.964987i | \(0.584481\pi\) | |||||||
\(374\) | 37.7207 | + | 36.2791i | 1.95049 | + | 1.87595i | ||||
\(375\) | −3.03992 | − | 11.3451i | −0.156981 | − | 0.585860i | ||||
\(376\) | 62.1855 | + | 45.1804i | 3.20697 | + | 2.33000i | ||||
\(377\) | −15.6449 | + | 24.9666i | −0.805751 | + | 1.28584i | ||||
\(378\) | 2.75624 | + | 8.48285i | 0.141766 | + | 0.436310i | ||||
\(379\) | −17.4012 | + | 21.4887i | −0.893839 | + | 1.10380i | 0.100221 | + | 0.994965i | \(0.468045\pi\) |
−0.994060 | + | 0.108834i | \(0.965288\pi\) | |||||||
\(380\) | 12.8890 | − | 1.35468i | 0.661190 | − | 0.0694938i | ||||
\(381\) | 8.05140 | − | 8.94198i | 0.412486 | − | 0.458112i | ||||
\(382\) | 10.2047 | + | 20.0279i | 0.522120 | + | 1.02472i | ||||
\(383\) | 8.63876 | − | 6.99553i | 0.441420 | − | 0.357455i | −0.382698 | − | 0.923874i | \(-0.625005\pi\) |
0.824117 | + | 0.566419i | \(0.191672\pi\) | |||||||
\(384\) | 3.36250 | − | 12.5490i | 0.171592 | − | 0.640389i | ||||
\(385\) | 1.98381 | − | 23.2167i | 0.101104 | − | 1.18323i | ||||
\(386\) | 27.4299 | + | 47.5099i | 1.39614 | + | 2.41819i | ||||
\(387\) | −9.12555 | + | 4.06296i | −0.463878 | + | 0.206532i | ||||
\(388\) | −32.1468 | − | 1.68474i | −1.63200 | − | 0.0855297i | ||||
\(389\) | −21.1362 | + | 6.86756i | −1.07165 | + | 0.348199i | −0.791129 | − | 0.611650i | \(-0.790506\pi\) |
−0.280518 | + | 0.959849i | \(0.590506\pi\) | |||||||
\(390\) | −19.9490 | − | 2.82942i | −1.01016 | − | 0.143273i | ||||
\(391\) | −5.27256 | − | 7.25705i | −0.266645 | − | 0.367005i | ||||
\(392\) | 29.1277 | − | 18.9157i | 1.47117 | − | 0.955389i | ||||
\(393\) | −2.83799 | + | 2.55534i | −0.143158 | + | 0.128900i | ||||
\(394\) | −63.0788 | − | 6.62985i | −3.17787 | − | 0.334007i | ||||
\(395\) | −4.42619 | + | 4.42619i | −0.222706 | + | 0.222706i | ||||
\(396\) | 11.5485 | + | 12.3341i | 0.580335 | + | 0.619811i | ||||
\(397\) | 32.8202 | + | 8.79415i | 1.64720 | + | 0.441366i | 0.958827 | − | 0.283991i | \(-0.0916585\pi\) |
0.688373 | + | 0.725357i | \(0.258325\pi\) | |||||||
\(398\) | −0.445004 | − | 2.80964i | −0.0223060 | − | 0.140835i | ||||
\(399\) | −3.97159 | + | 0.844188i | −0.198828 | + | 0.0422622i | ||||
\(400\) | 1.46346 | − | 6.88506i | 0.0731732 | − | 0.344253i | ||||
\(401\) | −15.1265 | − | 12.2492i | −0.755382 | − | 0.611697i | 0.172310 | − | 0.985043i | \(-0.444877\pi\) |
−0.927692 | + | 0.373346i | \(0.878210\pi\) | |||||||
\(402\) | −17.1898 | + | 12.4891i | −0.857350 | + | 0.622902i | ||||
\(403\) | −5.49875 | + | 28.0985i | −0.273912 | + | 1.39969i | ||||
\(404\) | −24.5089 | − | 7.96344i | −1.21937 | − | 0.396196i | ||||
\(405\) | 1.95868 | + | 0.751866i | 0.0973275 | + | 0.0373605i | ||||
\(406\) | −63.1214 | − | 36.4432i | −3.13266 | − | 1.80864i | ||||
\(407\) | −8.78739 | − | 12.9711i | −0.435575 | − | 0.642953i | ||||
\(408\) | 34.5289 | + | 34.5289i | 1.70944 | + | 1.70944i | ||||
\(409\) | −12.7718 | − | 15.7719i | −0.631527 | − | 0.779871i | 0.356476 | − | 0.934305i | \(-0.383978\pi\) |
−0.988003 | + | 0.154433i | \(0.950645\pi\) | |||||||
\(410\) | 27.5478 | − | 42.4199i | 1.36049 | − | 2.09497i | ||||
\(411\) | 9.35643 | + | 4.76734i | 0.461519 | + | 0.235156i | ||||
\(412\) | 6.88149 | + | 3.06384i | 0.339027 | + | 0.150944i | ||||
\(413\) | −1.16798 | − | 11.1126i | −0.0574725 | − | 0.546814i | ||||
\(414\) | −2.19651 | − | 3.38233i | −0.107953 | − | 0.166233i | ||||
\(415\) | −2.37780 | + | 7.31810i | −0.116721 | + | 0.359232i | ||||
\(416\) | −43.8278 | − | 30.7714i | −2.14884 | − | 1.50869i | ||||
\(417\) | − | 6.81895i | − | 0.333925i | ||||||
\(418\) | −8.54141 | + | 6.46359i | −0.417774 | + | 0.316145i | ||||
\(419\) | 1.39722 | − | 2.42005i | 0.0682586 | − | 0.118227i | −0.829876 | − | 0.557948i | \(-0.811589\pi\) |
0.898135 | + | 0.439720i | \(0.144922\pi\) | |||||||
\(420\) | 3.74131 | − | 35.5962i | 0.182557 | − | 1.73692i | ||||
\(421\) | 22.9780 | − | 11.7079i | 1.11988 | − | 0.570606i | 0.206796 | − | 0.978384i | \(-0.433696\pi\) |
0.913081 | + | 0.407778i | \(0.133696\pi\) | |||||||
\(422\) | 16.0089 | − | 0.838991i | 0.779301 | − | 0.0408415i | ||||
\(423\) | −8.70613 | + | 3.34197i | −0.423306 | + | 0.162492i | ||||
\(424\) | 79.4246 | + | 12.5796i | 3.85720 | + | 0.610921i | ||||
\(425\) | 2.63399 | + | 2.37166i | 0.127767 | + | 0.115042i | ||||
\(426\) | −26.0962 | − | 28.9828i | −1.26437 | − | 1.40422i | ||||
\(427\) | 0.421604 | − | 1.09832i | 0.0204028 | − | 0.0531512i | ||||
\(428\) | −11.3494 | −0.548595 | ||||||||
\(429\) | 11.0041 | − | 4.68082i | 0.531282 | − | 0.225992i | ||||
\(430\) | 55.8216 | 2.69196 | ||||||||
\(431\) | 8.83505 | − | 23.0161i | 0.425569 | − | 1.10865i | −0.538413 | − | 0.842681i | \(-0.680976\pi\) |
0.963983 | − | 0.265965i | \(-0.0856906\pi\) | |||||||
\(432\) | 7.87250 | + | 8.74330i | 0.378766 | + | 0.420662i | ||||
\(433\) | 1.60684 | + | 1.44680i | 0.0772197 | + | 0.0695289i | 0.706837 | − | 0.707377i | \(-0.250122\pi\) |
−0.629617 | + | 0.776906i | \(0.716788\pi\) | |||||||
\(434\) | −69.9564 | − | 11.0800i | −3.35802 | − | 0.531857i | ||||
\(435\) | −16.0057 | + | 6.14400i | −0.767413 | + | 0.294582i | ||||
\(436\) | −19.2108 | + | 1.00679i | −0.920030 | + | 0.0482167i | ||||
\(437\) | 1.63580 | − | 0.833483i | 0.0782511 | − | 0.0398709i | ||||
\(438\) | −0.0409152 | + | 0.389282i | −0.00195500 | + | 0.0186006i | ||||
\(439\) | 6.49741 | − | 11.2538i | 0.310104 | − | 0.537117i | −0.668280 | − | 0.743910i | \(-0.732969\pi\) |
0.978385 | + | 0.206793i | \(0.0663026\pi\) | |||||||
\(440\) | −18.7826 | − | 54.1916i | −0.895424 | − | 2.58349i | ||||
\(441\) | 4.21363i | 0.200649i | ||||||||
\(442\) | 51.5947 | − | 23.9795i | 2.45411 | − | 1.14059i | ||||
\(443\) | −6.90569 | + | 21.2535i | −0.328099 | + | 1.00979i | 0.641923 | + | 0.766769i | \(0.278137\pi\) |
−0.970022 | + | 0.243016i | \(0.921863\pi\) | |||||||
\(444\) | −13.1073 | − | 20.1835i | −0.622046 | − | 0.957867i | ||||
\(445\) | −0.712263 | − | 6.77673i | −0.0337645 | − | 0.321248i | ||||
\(446\) | 54.8358 | + | 24.4145i | 2.59655 | + | 1.15606i | ||||
\(447\) | 5.23803 | + | 2.66891i | 0.247750 | + | 0.126235i | ||||
\(448\) | 29.2357 | − | 45.0191i | 1.38126 | − | 2.12695i | ||||
\(449\) | −4.30073 | − | 5.31096i | −0.202964 | − | 0.250640i | 0.665493 | − | 0.746404i | \(-0.268221\pi\) |
−0.868457 | + | 0.495764i | \(0.834888\pi\) | |||||||
\(450\) | 1.12680 | + | 1.12680i | 0.0531181 | + | 0.0531181i | ||||
\(451\) | −0.986875 | + | 30.0031i | −0.0464701 | + | 1.41279i | ||||
\(452\) | −29.0424 | − | 16.7676i | −1.36604 | − | 0.788684i | ||||
\(453\) | 2.68848 | + | 1.03201i | 0.126316 | + | 0.0484881i | ||||
\(454\) | −38.0276 | − | 12.3559i | −1.78473 | − | 0.579893i | ||||
\(455\) | −22.7535 | − | 11.1333i | −1.06670 | − | 0.521938i | ||||
\(456\) | −8.08543 | + | 5.87441i | −0.378635 | + | 0.275094i | ||||
\(457\) | 2.58331 | + | 2.09192i | 0.120842 | + | 0.0978560i | 0.687837 | − | 0.725866i | \(-0.258561\pi\) |
−0.566994 | + | 0.823722i | \(0.691894\pi\) | |||||||
\(458\) | −11.5667 | + | 54.4170i | −0.540476 | + | 2.54274i | ||||
\(459\) | −5.79487 | + | 1.23174i | −0.270482 | + | 0.0574926i | ||||
\(460\) | 2.53170 | + | 15.9845i | 0.118041 | + | 0.745282i | ||||
\(461\) | −7.92827 | − | 2.12437i | −0.369256 | − | 0.0989419i | 0.0694189 | − | 0.997588i | \(-0.477885\pi\) |
−0.438675 | + | 0.898646i | \(0.644552\pi\) | |||||||
\(462\) | 12.5563 | + | 26.7853i | 0.584172 | + | 1.24616i | ||||
\(463\) | −17.8974 | + | 17.8974i | −0.831764 | + | 0.831764i | −0.987758 | − | 0.155994i | \(-0.950142\pi\) |
0.155994 | + | 0.987758i | \(0.450142\pi\) | |||||||
\(464\) | −95.6152 | − | 10.0496i | −4.43882 | − | 0.466539i | ||||
\(465\) | −12.3810 | + | 11.1479i | −0.574157 | + | 0.516974i | ||||
\(466\) | 31.6841 | − | 20.5759i | 1.46774 | − | 0.953159i | ||||
\(467\) | −2.50501 | − | 3.44785i | −0.115918 | − | 0.159547i | 0.747115 | − | 0.664694i | \(-0.231438\pi\) |
−0.863033 | + | 0.505147i | \(0.831438\pi\) | |||||||
\(468\) | 17.0398 | − | 6.85943i | 0.787665 | − | 0.317077i | ||||
\(469\) | −25.4057 | + | 8.25481i | −1.17313 | + | 0.381172i | ||||
\(470\) | 52.0417 | + | 2.72739i | 2.40050 | + | 0.125805i | ||||
\(471\) | 10.5186 | − | 4.68320i | 0.484674 | − | 0.215791i | ||||
\(472\) | −13.7517 | − | 23.8186i | −0.632972 | − | 1.09634i | ||||
\(473\) | −28.3636 | + | 17.1209i | −1.30416 | + | 0.787218i | ||||
\(474\) | 2.05680 | − | 7.67609i | 0.0944721 | − | 0.352575i | ||||
\(475\) | −0.563756 | + | 0.456521i | −0.0258669 | + | 0.0209466i | ||||
\(476\) | 45.8843 | + | 90.0531i | 2.10311 | + | 4.12758i | ||||
\(477\) | −6.52811 | + | 7.25020i | −0.298902 | + | 0.331964i | ||||
\(478\) | 70.0121 | − | 7.35857i | 3.20228 | − | 0.336573i | ||||
\(479\) | 25.2518 | − | 31.1834i | 1.15378 | − | 1.42480i | 0.266346 | − | 0.963878i | \(-0.414184\pi\) |
0.887438 | − | 0.460927i | \(-0.152483\pi\) | |||||||
\(480\) | −9.62927 | − | 29.6358i | −0.439514 | − | 1.35268i | ||||
\(481\) | −16.6006 | + | 3.81039i | −0.756920 | + | 0.173739i | ||||
\(482\) | −25.6858 | − | 18.6618i | −1.16996 | − | 0.850023i | ||||
\(483\) | −1.31230 | − | 4.89756i | −0.0597116 | − | 0.222847i | ||||
\(484\) | 43.0747 | + | 35.8475i | 1.95794 | + | 1.62943i | ||||
\(485\) | −11.4807 | + | 6.62840i | −0.521313 | + | 0.300980i | ||||
\(486\) | −2.63077 | + | 0.416672i | −0.119334 | + | 0.0189006i | ||||
\(487\) | 27.5151 | + | 17.8685i | 1.24683 | + | 0.809701i | 0.987733 | − | 0.156150i | \(-0.0499085\pi\) |
0.259097 | + | 0.965851i | \(0.416575\pi\) | |||||||
\(488\) | −0.151552 | − | 2.89178i | −0.00686042 | − | 0.130905i | ||||
\(489\) | −0.808129 | + | 5.10233i | −0.0365449 | + | 0.230735i | ||||
\(490\) | 9.57730 | − | 21.5110i | 0.432658 | − | 0.971766i | ||||
\(491\) | −18.8514 | − | 4.00699i | −0.850752 | − | 0.180833i | −0.238154 | − | 0.971227i | \(-0.576542\pi\) |
−0.612598 | + | 0.790394i | \(0.709876\pi\) | |||||||
\(492\) | −2.41329 | + | 46.0484i | −0.108800 | + | 2.07602i | ||||
\(493\) | 28.4557 | − | 39.1659i | 1.28158 | − | 1.76394i | ||||
\(494\) | 3.19548 | + | 11.1975i | 0.143771 | + | 0.503798i | ||||
\(495\) | 6.75508 | + | 1.66970i | 0.303618 | + | 0.0750475i | ||||
\(496\) | −90.2439 | + | 24.1808i | −4.05207 | + | 1.08575i | ||||
\(497\) | −19.9430 | − | 44.7928i | −0.894568 | − | 2.00923i | ||||
\(498\) | −2.03106 | − | 9.55537i | −0.0910138 | − | 0.428186i | ||||
\(499\) | 5.05784 | − | 9.92657i | 0.226420 | − | 0.444374i | −0.749649 | − | 0.661836i | \(-0.769778\pi\) |
0.976069 | + | 0.217461i | \(0.0697776\pi\) | |||||||
\(500\) | −21.4437 | − | 55.8628i | −0.958992 | − | 2.49826i | ||||
\(501\) | 4.21308 | + | 10.9754i | 0.188226 | + | 0.490347i | ||||
\(502\) | 14.7350 | − | 28.9191i | 0.657657 | − | 1.29072i | ||||
\(503\) | −0.902815 | − | 4.24741i | −0.0402545 | − | 0.189383i | 0.953426 | − | 0.301627i | \(-0.0975296\pi\) |
−0.993681 | + | 0.112244i | \(0.964196\pi\) | |||||||
\(504\) | 11.2265 | + | 25.2152i | 0.500069 | + | 1.12317i | ||||
\(505\) | −10.2511 | + | 2.74676i | −0.456166 | + | 0.122229i | ||||
\(506\) | −8.61857 | − | 10.2291i | −0.383142 | − | 0.454737i | ||||
\(507\) | −0.420771 | − | 12.9932i | −0.0186871 | − | 0.577048i | ||||
\(508\) | 36.0317 | − | 49.5933i | 1.59865 | − | 2.20035i | ||||
\(509\) | −0.323619 | + | 6.17502i | −0.0143442 | + | 0.273703i | 0.982036 | + | 0.188694i | \(0.0604254\pi\) |
−0.996380 | + | 0.0850094i | \(0.972908\pi\) | |||||||
\(510\) | 32.3830 | + | 6.88323i | 1.43394 | + | 0.304794i | ||||
\(511\) | −0.200159 | + | 0.449564i | −0.00885450 | + | 0.0198875i | ||||
\(512\) | −3.00458 | + | 18.9702i | −0.132785 | + | 0.838371i | ||||
\(513\) | −0.0634581 | − | 1.21085i | −0.00280174 | − | 0.0534605i | ||||
\(514\) | 4.19559 | + | 2.72465i | 0.185060 | + | 0.120179i | ||||
\(515\) | 3.06393 | − | 0.485279i | 0.135013 | − | 0.0213839i | ||||
\(516\) | −44.0722 | + | 25.4451i | −1.94017 | + | 1.12016i | ||||
\(517\) | −27.2794 | + | 14.5757i | −1.19975 | + | 0.641039i | ||||
\(518\) | −10.9052 | − | 40.6986i | −0.479145 | − | 1.78819i | ||||
\(519\) | 11.3123 | + | 8.21888i | 0.496556 | + | 0.360769i | ||||
\(520\) | −62.3099 | − | 2.25496i | −2.73247 | − | 0.0988863i | ||||
\(521\) | −8.33668 | − | 25.6577i | −0.365237 | − | 1.12408i | −0.949833 | − | 0.312758i | \(-0.898747\pi\) |
0.584596 | − | 0.811325i | \(-0.301253\pi\) | |||||||
\(522\) | 13.6976 | − | 16.9151i | 0.599528 | − | 0.740355i | ||||
\(523\) | 6.01931 | − | 0.632655i | 0.263206 | − | 0.0276641i | 0.0279937 | − | 0.999608i | \(-0.491088\pi\) |
0.235212 | + | 0.971944i | \(0.424421\pi\) | |||||||
\(524\) | −13.0183 | + | 14.4583i | −0.568706 | + | 0.631612i | ||||
\(525\) | 0.909539 | + | 1.78507i | 0.0396955 | + | 0.0779069i | ||||
\(526\) | 10.7447 | − | 8.70086i | 0.468490 | − | 0.379376i | ||||
\(527\) | 12.1761 | − | 45.4418i | 0.530399 | − | 1.97948i | ||||
\(528\) | 29.5013 | + | 25.5403i | 1.28388 | + | 1.11150i | ||||
\(529\) | −10.3537 | − | 17.9331i | −0.450161 | − | 0.779702i | ||||
\(530\) | 49.8059 | − | 22.1750i | 2.16343 | − | 0.963220i | ||||
\(531\) | 3.33220 | + | 0.174633i | 0.144605 | + | 0.00757845i | ||||
\(532\) | −19.6730 | + | 6.39216i | −0.852935 | + | 0.277135i | ||||
\(533\) | 30.0240 | + | 12.7893i | 1.30048 | + | 0.553968i | ||||
\(534\) | 5.08482 | + | 6.99865i | 0.220042 | + | 0.302861i | ||||
\(535\) | −3.91987 | + | 2.54559i | −0.169471 | + | 0.110055i | ||||
\(536\) | −48.8634 | + | 43.9968i | −2.11058 | + | 1.90037i | ||||
\(537\) | −9.84538 | − | 1.03479i | −0.424859 | − | 0.0446545i | ||||
\(538\) | −61.7324 | + | 61.7324i | −2.66147 | + | 2.66147i | ||||
\(539\) | 1.73123 | + | 13.8674i | 0.0745692 | + | 0.597310i | ||||
\(540\) | 10.3243 | + | 2.76639i | 0.444287 | + | 0.119046i | ||||
\(541\) | −6.07381 | − | 38.3485i | −0.261134 | − | 1.64873i | −0.674578 | − | 0.738203i | \(-0.735674\pi\) |
0.413444 | − | 0.910529i | \(-0.364326\pi\) | |||||||
\(542\) | 48.8704 | − | 10.3877i | 2.09916 | − | 0.446191i | ||||
\(543\) | −2.28187 | + | 10.7353i | −0.0979243 | + | 0.460698i | ||||
\(544\) | 68.3820 | + | 55.3746i | 2.93185 | + | 2.37417i | ||||
\(545\) | −6.40921 | + | 4.65657i | −0.274541 | + | 0.199465i | ||||
\(546\) | 32.0838 | − | 2.20267i | 1.37306 | − | 0.0942657i | ||||
\(547\) | −20.7890 | − | 6.75476i | −0.888875 | − | 0.288813i | −0.171237 | − | 0.985230i | \(-0.554776\pi\) |
−0.717637 | + | 0.696417i | \(0.754776\pi\) | |||||||
\(548\) | 49.9443 | + | 19.1718i | 2.13352 | + | 0.818980i | ||||
\(549\) | 0.304252 | + | 0.175660i | 0.0129851 | + | 0.00749697i | ||||
\(550\) | 4.17137 | + | 3.24544i | 0.177868 | + | 0.138386i | ||||
\(551\) | 7.00621 | + | 7.00621i | 0.298474 | + | 0.298474i | ||||
\(552\) | −7.85404 | − | 9.69893i | −0.334290 | − | 0.412814i | ||||
\(553\) | 5.44147 | − | 8.37912i | 0.231395 | − | 0.356317i | ||||
\(554\) | −45.2902 | − | 23.0765i | −1.92420 | − | 0.980427i | ||||
\(555\) | −9.05403 | − | 4.03111i | −0.384322 | − | 0.171111i | ||||
\(556\) | −3.63126 | − | 34.5491i | −0.154000 | − | 1.46521i | ||||
\(557\) | −5.14667 | − | 7.92518i | −0.218071 | − | 0.335801i | 0.712656 | − | 0.701513i | \(-0.247492\pi\) |
−0.930728 | + | 0.365713i | \(0.880825\pi\) | |||||||
\(558\) | 6.53607 | − | 20.1160i | 0.276694 | − | 0.851577i | ||||
\(559\) | 6.20925 | + | 35.4772i | 0.262623 | + | 1.50052i | ||||
\(560\) | − | 82.6583i | − | 3.49295i | ||||||
\(561\) | −18.5653 | + | 6.43465i | −0.783828 | + | 0.271671i | ||||
\(562\) | 3.26084 | − | 5.64793i | 0.137550 | − | 0.238244i | ||||
\(563\) | −1.21330 | + | 11.5438i | −0.0511345 | + | 0.486513i | 0.938746 | + | 0.344610i | \(0.111989\pi\) |
−0.989881 | + | 0.141903i | \(0.954678\pi\) | |||||||
\(564\) | −42.3311 | + | 21.5688i | −1.78246 | + | 0.908208i | ||||
\(565\) | −13.7915 | + | 0.722784i | −0.580215 | + | 0.0304078i | ||||
\(566\) | 64.5364 | − | 24.7732i | 2.71267 | − | 1.04130i | ||||
\(567\) | −3.30745 | − | 0.523848i | −0.138900 | − | 0.0219996i | ||||
\(568\) | −89.6885 | − | 80.7559i | −3.76325 | − | 3.38844i | ||||
\(569\) | 5.23542 | + | 5.81453i | 0.219480 | + | 0.243758i | 0.842823 | − | 0.538192i | \(-0.180892\pi\) |
−0.623342 | + | 0.781949i | \(0.714226\pi\) | |||||||
\(570\) | −2.42823 | + | 6.32576i | −0.101707 | + | 0.264957i | ||||
\(571\) | 20.9648 | 0.877348 | 0.438674 | − | 0.898646i | \(-0.355448\pi\) | ||||
0.438674 | + | 0.898646i | \(0.355448\pi\) | |||||||
\(572\) | 53.2610 | − | 29.5759i | 2.22696 | − | 1.23663i | ||||
\(573\) | −8.43903 | −0.352546 | ||||||||
\(574\) | −28.9314 | + | 75.3688i | −1.20757 | + | 3.14583i | ||||
\(575\) | −0.606143 | − | 0.673191i | −0.0252779 | − | 0.0280740i | ||||
\(576\) | 11.9126 | + | 10.7261i | 0.496357 | + | 0.446922i | ||||
\(577\) | 21.0558 | + | 3.33491i | 0.876564 | + | 0.138834i | 0.578471 | − | 0.815703i | \(-0.303650\pi\) |
0.298093 | + | 0.954537i | \(0.403650\pi\) | |||||||
\(578\) | −45.0027 | + | 17.2749i | −1.87186 | + | 0.718541i | ||||
\(579\) | −20.5682 | + | 1.07793i | −0.854784 | + | 0.0447973i | ||||
\(580\) | −77.8230 | + | 39.6528i | −3.23143 | + | 1.64649i | ||||
\(581\) | 1.28377 | − | 12.2143i | 0.0532599 | − | 0.506734i | ||||
\(582\) | 8.41511 | − | 14.5754i | 0.348818 | − | 0.604170i | ||||
\(583\) | −18.5057 | + | 26.5431i | −0.766427 | + | 1.09930i | ||||
\(584\) | 1.21129i | 0.0501233i | ||||||||
\(585\) | 4.34669 | − | 6.19101i | 0.179714 | − | 0.255967i | ||||
\(586\) | −24.3467 | + | 74.9314i | −1.00575 | + | 3.09539i | ||||
\(587\) | −9.23754 | − | 14.2246i | −0.381274 | − | 0.587111i | 0.594980 | − | 0.803741i | \(-0.297160\pi\) |
−0.976254 | + | 0.216630i | \(0.930493\pi\) | |||||||
\(588\) | 2.24386 | + | 21.3489i | 0.0925352 | + | 0.880414i | ||||
\(589\) | 8.79609 | + | 3.91627i | 0.362437 | + | 0.161367i | ||||
\(590\) | −16.6143 | − | 8.46540i | −0.683999 | − | 0.348515i | ||||
\(591\) | 12.9693 | − | 19.9709i | 0.533485 | − | 0.821495i | ||||
\(592\) | −34.9763 | − | 43.1922i | −1.43752 | − | 1.77519i | ||||
\(593\) | 32.0751 | + | 32.0751i | 1.31717 | + | 1.31717i | 0.916009 | + | 0.401157i | \(0.131392\pi\) |
0.401157 | + | 0.916009i | \(0.368608\pi\) | |||||||
\(594\) | −8.48686 | + | 2.45219i | −0.348220 | + | 0.100614i | ||||
\(595\) | 36.0458 | + | 20.8111i | 1.47773 | + | 0.853170i | ||||
\(596\) | 27.9604 | + | 10.7330i | 1.14530 | + | 0.439641i | ||||
\(597\) | 1.01572 | + | 0.330029i | 0.0415708 | + | 0.0135072i | ||||
\(598\) | −13.7549 | + | 4.71669i | −0.562478 | + | 0.192880i | ||||
\(599\) | 7.41534 | − | 5.38756i | 0.302982 | − | 0.220130i | −0.425897 | − | 0.904772i | \(-0.640041\pi\) |
0.728879 | + | 0.684642i | \(0.240041\pi\) | |||||||
\(600\) | 3.83233 | + | 3.10336i | 0.156454 | + | 0.126694i | ||||
\(601\) | 2.77670 | − | 13.0634i | 0.113264 | − | 0.532866i | −0.884530 | − | 0.466483i | \(-0.845521\pi\) |
0.997794 | − | 0.0663828i | \(-0.0211458\pi\) | |||||||
\(602\) | −87.1503 | + | 18.5244i | −3.55198 | + | 0.754997i | ||||
\(603\) | −1.24791 | − | 7.87901i | −0.0508189 | − | 0.320858i | ||||
\(604\) | 14.1711 | + | 3.79714i | 0.576614 | + | 0.154503i | ||||
\(605\) | 22.9175 | + | 2.71970i | 0.931729 | + | 0.110571i | ||||
\(606\) | 9.52709 | − | 9.52709i | 0.387012 | − | 0.387012i | ||||
\(607\) | −15.0968 | − | 1.58673i | −0.612758 | − | 0.0644035i | −0.206934 | − | 0.978355i | \(-0.566349\pi\) |
−0.405824 | + | 0.913951i | \(0.633015\pi\) | |||||||
\(608\) | −13.3832 | + | 12.0503i | −0.542760 | + | 0.488704i | ||||
\(609\) | 22.9496 | − | 14.9036i | 0.929965 | − | 0.603926i | ||||
\(610\) | −1.15397 | − | 1.58830i | −0.0467229 | − | 0.0643085i | ||||
\(611\) | 4.05541 | + | 33.3782i | 0.164064 | + | 1.35034i | ||||
\(612\) | −28.7046 | + | 9.32668i | −1.16031 | + | 0.377009i | ||||
\(613\) | 7.65863 | + | 0.401372i | 0.309329 | + | 0.0162112i | 0.206369 | − | 0.978474i | \(-0.433835\pi\) |
0.102960 | + | 0.994685i | \(0.467169\pi\) | |||||||
\(614\) | −32.0883 | + | 14.2866i | −1.29498 | + | 0.576562i | ||||
\(615\) | 9.49480 | + | 16.4455i | 0.382867 | + | 0.663146i | ||||
\(616\) | 47.3073 | + | 78.3725i | 1.90607 | + | 3.15772i | ||||
\(617\) | −1.74939 | + | 6.52883i | −0.0704279 | + | 0.262841i | −0.992158 | − | 0.124992i | \(-0.960109\pi\) |
0.921730 | + | 0.387833i | \(0.126776\pi\) | |||||||
\(618\) | −3.06064 | + | 2.47846i | −0.123117 | + | 0.0996981i | ||||
\(619\) | 11.1017 | + | 21.7883i | 0.446215 | + | 0.875746i | 0.999097 | + | 0.0424863i | \(0.0135279\pi\) |
−0.552882 | + | 0.833259i | \(0.686472\pi\) | |||||||
\(620\) | −56.7937 | + | 63.0757i | −2.28089 | + | 2.53318i | ||||
\(621\) | 1.50583 | − | 0.158270i | 0.0604271 | − | 0.00635114i | ||||
\(622\) | 25.9124 | − | 31.9991i | 1.03899 | − | 1.28305i | ||||
\(623\) | 3.36086 | + | 10.3437i | 0.134650 | + | 0.414410i | ||||
\(624\) | 37.4801 | − | 19.8676i | 1.50040 | − | 0.795342i | ||||
\(625\) | −17.5158 | − | 12.7260i | −0.700631 | − | 0.509038i | ||||
\(626\) | 6.86685 | + | 25.6274i | 0.274454 | + | 1.02428i | ||||
\(627\) | −0.706341 | − | 3.95894i | −0.0282085 | − | 0.158105i | ||||
\(628\) | 50.8002 | − | 29.3295i | 2.02715 | − | 1.17037i | ||||
\(629\) | 27.6414 | − | 4.37797i | 1.10213 | − | 0.174561i | ||||
\(630\) | 15.6942 | + | 10.1919i | 0.625270 | + | 0.406055i | ||||
\(631\) | −0.444709 | − | 8.48555i | −0.0177036 | − | 0.337804i | −0.993094 | − | 0.117320i | \(-0.962570\pi\) |
0.975391 | − | 0.220484i | \(-0.0707637\pi\) | |||||||
\(632\) | 3.84703 | − | 24.2892i | 0.153026 | − | 0.966171i | ||||
\(633\) | −2.44798 | + | 5.49826i | −0.0972986 | + | 0.218536i | ||||
\(634\) | 43.4524 | + | 9.23610i | 1.72572 | + | 0.366812i | ||||
\(635\) | 1.32121 | − | 25.2102i | 0.0524306 | − | 1.00044i | ||||
\(636\) | −29.2146 | + | 40.2105i | −1.15844 | + | 1.59445i | ||||
\(637\) | 14.7365 | + | 3.69406i | 0.583881 | + | 0.146364i | ||||
\(638\) | 38.1301 | − | 61.2969i | 1.50958 | − | 2.42677i | ||||
\(639\) | 14.1432 | − | 3.78967i | 0.559498 | − | 0.149917i | ||||
\(640\) | −11.0864 | − | 24.9005i | −0.438228 | − | 0.984277i | ||||
\(641\) | 2.38982 | + | 11.2432i | 0.0943920 | + | 0.444080i | 0.999809 | + | 0.0195557i | \(0.00622517\pi\) |
−0.905417 | + | 0.424524i | \(0.860441\pi\) | |||||||
\(642\) | 2.69387 | − | 5.28703i | 0.106319 | − | 0.208662i | ||||
\(643\) | 14.7054 | + | 38.3088i | 0.579923 | + | 1.51075i | 0.838578 | + | 0.544782i | \(0.183387\pi\) |
−0.258655 | + | 0.965970i | \(0.583279\pi\) | |||||||
\(644\) | −9.25700 | − | 24.1153i | −0.364777 | − | 0.950276i | ||||
\(645\) | −9.51453 | + | 18.6733i | −0.374634 | + | 0.735261i | ||||
\(646\) | −3.97803 | − | 18.7151i | −0.156513 | − | 0.736338i | ||||
\(647\) | 9.99818 | + | 22.4563i | 0.393069 | + | 0.882848i | 0.996353 | + | 0.0853215i | \(0.0271917\pi\) |
−0.603284 | + | 0.797526i | \(0.706142\pi\) | |||||||
\(648\) | −7.96163 | + | 2.13331i | −0.312763 | + | 0.0838045i | ||||
\(649\) | 11.0383 | − | 0.794349i | 0.433291 | − | 0.0311809i | ||||
\(650\) | 4.92869 | − | 2.95296i | 0.193319 | − | 0.115825i | ||||
\(651\) | 15.6302 | − | 21.5131i | 0.612595 | − | 0.843165i | ||||
\(652\) | −1.37738 | + | 26.2820i | −0.0539423 | + | 1.02928i | ||||
\(653\) | 23.1380 | + | 4.91814i | 0.905460 | + | 0.192462i | 0.637031 | − | 0.770838i | \(-0.280162\pi\) |
0.268429 | + | 0.963299i | \(0.413496\pi\) | |||||||
\(654\) | 4.09083 | − | 9.18815i | 0.159964 | − | 0.359285i | ||||
\(655\) | −1.25338 | + | 7.91350i | −0.0489734 | + | 0.309206i | ||||
\(656\) | 5.57323 | + | 106.343i | 0.217598 | + | 4.15202i | ||||
\(657\) | −0.123248 | − | 0.0800381i | −0.00480836 | − | 0.00312258i | ||||
\(658\) | −82.1539 | + | 13.0119i | −3.20269 | + | 0.507257i | ||||
\(659\) | 5.21743 | − | 3.01229i | 0.203242 | − | 0.117342i | −0.394925 | − | 0.918714i | \(-0.629229\pi\) |
0.598167 | + | 0.801372i | \(0.295896\pi\) | |||||||
\(660\) | 35.1147 | + | 4.86251i | 1.36684 | + | 0.189273i | ||||
\(661\) | −9.28124 | − | 34.6380i | −0.360998 | − | 1.34726i | −0.872766 | − | 0.488140i | \(-0.837676\pi\) |
0.511767 | − | 0.859124i | \(-0.328991\pi\) | |||||||
\(662\) | 7.58267 | + | 5.50913i | 0.294709 | + | 0.214118i | ||||
\(663\) | −0.772516 | + | 21.3465i | −0.0300020 | + | 0.829030i | ||||
\(664\) | −9.34161 | − | 28.7505i | −0.362525 | − | 1.11574i | ||||
\(665\) | −5.36097 | + | 6.62025i | −0.207889 | + | 0.256722i | ||||
\(666\) | 12.5134 | − | 1.31522i | 0.484886 | − | 0.0509636i | ||||
\(667\) | −8.27913 | + | 9.19490i | −0.320569 | + | 0.356028i | ||||
\(668\) | 27.1908 | + | 53.3650i | 1.05204 | + | 2.06475i | ||||
\(669\) | −17.5136 | + | 14.1822i | −0.677113 | + | 0.548316i | ||||
\(670\) | −11.5378 | + | 43.0595i | −0.445742 | + | 1.66353i | ||||
\(671\) | 1.07349 | + | 0.453104i | 0.0414415 | + | 0.0174919i | ||||
\(672\) | 24.8681 | + | 43.0728i | 0.959308 | + | 1.66157i | ||||
\(673\) | −42.0659 | + | 18.7290i | −1.62152 | + | 0.721948i | −0.998197 | − | 0.0600153i | \(-0.980885\pi\) |
−0.623324 | + | 0.781963i | \(0.714218\pi\) | |||||||
\(674\) | 11.3991 | + | 0.597401i | 0.439077 | + | 0.0230110i | ||||
\(675\) | −0.568994 | + | 0.184877i | −0.0219006 | + | 0.00711594i | ||||
\(676\) | −9.05108 | − | 65.6076i | −0.348119 | − | 2.52337i | ||||
\(677\) | 3.36161 | + | 4.62686i | 0.129197 | + | 0.177825i | 0.868715 | − | 0.495312i | \(-0.164946\pi\) |
−0.739518 | + | 0.673137i | \(0.764946\pi\) | |||||||
\(678\) | 14.7045 | − | 9.54922i | 0.564723 | − | 0.366736i | ||||
\(679\) | 15.7244 | − | 14.1583i | 0.603447 | − | 0.543346i | ||||
\(680\) | 101.888 | + | 10.7089i | 3.90723 | + | 0.410667i | ||||
\(681\) | 10.6149 | − | 10.6149i | 0.406764 | − | 0.406764i | ||||
\(682\) | 13.2458 | − | 68.8886i | 0.507208 | − | 2.63788i | ||||
\(683\) | −1.18208 | − | 0.316738i | −0.0452311 | − | 0.0121196i | 0.236133 | − | 0.971721i | \(-0.424120\pi\) |
−0.281364 | + | 0.959601i | \(0.590787\pi\) | |||||||
\(684\) | −0.966328 | − | 6.10116i | −0.0369485 | − | 0.233284i | ||||
\(685\) | 21.5499 | − | 4.58057i | 0.823379 | − | 0.175015i | ||||
\(686\) | 5.16718 | − | 24.3097i | 0.197284 | − | 0.928147i | ||||
\(687\) | −16.2319 | − | 13.1444i | −0.619287 | − | 0.501489i | ||||
\(688\) | −95.0799 | + | 69.0796i | −3.62489 | + | 2.63363i | ||||
\(689\) | 19.6333 | + | 29.1873i | 0.747969 | + | 1.11195i | ||||
\(690\) | −8.04716 | − | 2.61468i | −0.306350 | − | 0.0995392i | ||||
\(691\) | 5.20669 | + | 1.99866i | 0.198072 | + | 0.0760327i | 0.455382 | − | 0.890296i | \(-0.349503\pi\) |
−0.257310 | + | 0.966329i | \(0.582836\pi\) | |||||||
\(692\) | 61.6921 | + | 35.6180i | 2.34518 | + | 1.35399i | ||||
\(693\) | −11.1003 | − | 0.365116i | −0.421665 | − | 0.0138696i | ||||
\(694\) | −39.7511 | − | 39.7511i | −1.50893 | − | 1.50893i | ||||
\(695\) | −9.00328 | − | 11.1181i | −0.341514 | − | 0.421734i | ||||
\(696\) | 36.6841 | − | 56.4886i | 1.39051 | − | 2.14119i | ||||
\(697\) | −47.7777 | − | 24.3439i | −1.80971 | − | 0.922093i | ||||
\(698\) | −57.7095 | − | 25.6939i | −2.18434 | − | 0.972529i | ||||
\(699\) | 1.48259 | + | 14.1059i | 0.0560768 | + | 0.533535i | ||||
\(700\) | 5.55890 | + | 8.55995i | 0.210106 | + | 0.323536i | ||||
\(701\) | 3.00084 | − | 9.23565i | 0.113340 | − | 0.348826i | −0.878257 | − | 0.478189i | \(-0.841293\pi\) |
0.991597 | + | 0.129363i | \(0.0412934\pi\) | |||||||
\(702\) | −0.849129 | + | 9.56598i | −0.0320483 | + | 0.361045i | ||||
\(703\) | 5.72780i | 0.216028i | ||||||||
\(704\) | 43.6122 | + | 30.4061i | 1.64370 | + | 1.14597i | ||||
\(705\) | −9.78261 | + | 16.9440i | −0.368434 | + | 0.638147i | ||||
\(706\) | −2.66979 | + | 25.4013i | −0.100479 | + | 0.955992i | ||||
\(707\) | 15.0927 | − | 7.69012i | 0.567620 | − | 0.289217i | ||||
\(708\) | 16.9761 | − | 0.889677i | 0.637999 | − | 0.0334361i | ||||
\(709\) | 32.6063 | − | 12.5164i | 1.22456 | − | 0.470063i | 0.341745 | − | 0.939793i | \(-0.388982\pi\) |
0.882810 | + | 0.469730i | \(0.155649\pi\) | |||||||
\(710\) | −80.8162 | − | 12.8000i | −3.03298 | − | 0.480377i | ||||
\(711\) | 2.21721 | + | 1.99639i | 0.0831520 | + | 0.0748704i | ||||
\(712\) | 17.9128 | + | 19.8942i | 0.671311 | + | 0.745567i | ||||
\(713\) | −4.30888 | + | 11.2250i | −0.161369 | + | 0.420380i | ||||
\(714\) | −52.8415 | −1.97754 | ||||||||
\(715\) | 11.7616 | − | 22.1610i | 0.439861 | − | 0.828775i | ||||
\(716\) | −50.4340 | −1.88481 | ||||||||
\(717\) | −9.47166 | + | 24.6745i | −0.353726 | + | 0.921487i | ||||
\(718\) | 62.7903 | + | 69.7357i | 2.34331 | + | 2.60251i | ||||
\(719\) | 25.1490 | + | 22.6443i | 0.937901 | + | 0.844490i | 0.988031 | − | 0.154253i | \(-0.0492971\pi\) |
−0.0501307 | + | 0.998743i | \(0.515964\pi\) | |||||||
\(720\) | 24.3800 | + | 3.86141i | 0.908588 | + | 0.143906i | ||||
\(721\) | −4.62245 | + | 1.77439i | −0.172149 | + | 0.0660818i | ||||
\(722\) | −46.6277 | + | 2.44365i | −1.73530 | + | 0.0909433i | ||||
\(723\) | 10.6207 | − | 5.41153i | 0.394989 | − | 0.201257i | ||||
\(724\) | −5.84455 | + | 55.6072i | −0.217211 | + | 2.06663i | ||||
\(725\) | 2.44446 | − | 4.23392i | 0.0907848 | − | 0.157244i | ||||
\(726\) | −26.9234 | + | 11.5573i | −0.999221 | + | 0.428931i | ||||
\(727\) | 28.9756i | 1.07464i | 0.843377 | + | 0.537322i | \(0.180564\pi\) | ||||
−0.843377 | + | 0.537322i | \(0.819436\pi\) | |||||||
\(728\) | 98.0283 | − | 17.1570i | 3.63317 | − | 0.635881i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 0.447271 | + | 0.688736i | 0.0165542 | + | 0.0254913i | ||||
\(731\) | −6.18590 | − | 58.8549i | −0.228794 | − | 2.17683i | ||||
\(732\) | 1.63507 | + | 0.727982i | 0.0604341 | + | 0.0269070i | ||||
\(733\) | −34.6256 | − | 17.6426i | −1.27892 | − | 0.651644i | −0.323318 | − | 0.946291i | \(-0.604798\pi\) |
−0.955606 | + | 0.294646i | \(0.904798\pi\) | |||||||
\(734\) | −2.34570 | + | 3.61206i | −0.0865814 | + | 0.133324i | ||||
\(735\) | 5.56339 | + | 6.87021i | 0.205209 | + | 0.253412i | ||||
\(736\) | −15.9018 | − | 15.9018i | −0.586150 | − | 0.586150i | ||||
\(737\) | −7.34417 | − | 25.4177i | −0.270526 | − | 0.936273i | ||||
\(738\) | −20.8784 | − | 12.0542i | −0.768545 | − | 0.443720i | ||||
\(739\) | −33.3893 | − | 12.8169i | −1.22824 | − | 0.471479i | −0.344206 | − | 0.938894i | \(-0.611852\pi\) |
−0.884038 | + | 0.467415i | \(0.845185\pi\) | |||||||
\(740\) | −48.0201 | − | 15.6027i | −1.76525 | − | 0.573566i | ||||
\(741\) | −4.29040 | − | 0.839612i | −0.157612 | − | 0.0308439i | ||||
\(742\) | −70.3995 | + | 51.1482i | −2.58445 | + | 1.87771i | ||||
\(743\) | −19.1897 | − | 15.5395i | −0.704001 | − | 0.570089i | 0.209064 | − | 0.977902i | \(-0.432958\pi\) |
−0.913065 | + | 0.407813i | \(0.866292\pi\) | |||||||
\(744\) | 13.6085 | − | 64.0229i | 0.498911 | − | 2.34719i | ||||
\(745\) | 12.0643 | − | 2.56435i | 0.442003 | − | 0.0939505i | ||||
\(746\) | −11.4215 | − | 72.1126i | −0.418171 | − | 2.64023i | ||||
\(747\) | 3.54262 | + | 0.949242i | 0.129618 | + | 0.0347310i | ||||
\(748\) | −90.6370 | + | 42.4885i | −3.31402 | + | 1.55353i | ||||
\(749\) | 5.27505 | − | 5.27505i | 0.192746 | − | 0.192746i | ||||
\(750\) | 31.1130 | + | 3.27011i | 1.13609 | + | 0.119408i | ||||
\(751\) | 27.3323 | − | 24.6101i | 0.997368 | − | 0.898035i | 0.00258019 | − | 0.999997i | \(-0.499179\pi\) |
0.994788 | + | 0.101962i | \(0.0325120\pi\) | |||||||
\(752\) | −92.0167 | + | 59.7563i | −3.35550 | + | 2.17909i | ||||
\(753\) | 7.16244 | + | 9.85825i | 0.261014 | + | 0.359255i | ||||
\(754\) | −47.1494 | − | 62.7346i | −1.71708 | − | 2.28466i | ||||
\(755\) | 5.74609 | − | 1.86702i | 0.209122 | − | 0.0679478i | ||||
\(756\) | −17.0366 | − | 0.892850i | −0.619615 | − | 0.0324726i | ||||
\(757\) | 14.7417 | − | 6.56344i | 0.535797 | − | 0.238552i | −0.120956 | − | 0.992658i | \(-0.538596\pi\) |
0.656753 | + | 0.754106i | \(0.271929\pi\) | |||||||
\(758\) | −36.8247 | − | 63.7822i | −1.33753 | − | 2.31668i | ||||
\(759\) | 4.89079 | − | 1.13957i | 0.177524 | − | 0.0413638i | ||||
\(760\) | −5.42692 | + | 20.2535i | −0.196855 | + | 0.734673i | ||||
\(761\) | 12.4544 | − | 10.0854i | 0.451473 | − | 0.365596i | −0.376450 | − | 0.926437i | \(-0.622855\pi\) |
0.827923 | + | 0.560841i | \(0.189522\pi\) | |||||||
\(762\) | 14.5502 | + | 28.5564i | 0.527099 | + | 1.03449i | ||||
\(763\) | 8.46096 | − | 9.39685i | 0.306307 | − | 0.340189i | ||||
\(764\) | −42.7575 | + | 4.49399i | −1.54691 | + | 0.162587i | ||||
\(765\) | −7.82209 | + | 9.65948i | −0.282808 | + | 0.349239i | ||||
\(766\) | 9.14941 | + | 28.1590i | 0.330582 | + | 1.01743i | ||||
\(767\) | 3.53208 | − | 11.5008i | 0.127536 | − | 0.415268i | ||||
\(768\) | 2.05834 | + | 1.49547i | 0.0742740 | + | 0.0539632i | ||||
\(769\) | 1.64742 | + | 6.14825i | 0.0594074 | + | 0.221712i | 0.989247 | − | 0.146253i | \(-0.0467214\pi\) |
−0.929840 | + | 0.367965i | \(0.880055\pi\) | |||||||
\(770\) | 55.8382 | + | 27.0942i | 2.01227 | + | 0.976407i | ||||
\(771\) | −1.62656 | + | 0.939095i | −0.0585791 | + | 0.0338207i | ||||
\(772\) | −103.637 | + | 16.4145i | −3.72999 | + | 0.590772i | ||||
\(773\) | −43.6854 | − | 28.3696i | −1.57125 | − | 1.02038i | −0.976246 | − | 0.216663i | \(-0.930483\pi\) |
−0.595007 | − | 0.803721i | \(-0.702851\pi\) | |||||||
\(774\) | −1.39249 | − | 26.5702i | −0.0500519 | − | 0.955048i | ||||
\(775\) | 0.743201 | − | 4.69239i | 0.0266966 | − | 0.168556i | ||||
\(776\) | 21.1836 | − | 47.5791i | 0.760446 | − | 1.70799i | ||||
\(777\) | 15.4731 | + | 3.28891i | 0.555095 | + | 0.117989i | ||||
\(778\) | 3.09801 | − | 59.1135i | 0.111069 | − | 2.11932i | ||||
\(779\) | 6.45075 | − | 8.87870i | 0.231122 | − | 0.318112i | ||||
\(780\) | 18.7262 | − | 33.6823i | 0.670507 | − | 1.20602i | ||||
\(781\) | 44.9894 | − | 18.2830i | 1.60985 | − | 0.654218i | ||||
\(782\) | 23.0785 | − | 6.18388i | 0.825287 | − | 0.221135i | ||||
\(783\) | 3.32372 | + | 7.46519i | 0.118780 | + | 0.266784i | ||||
\(784\) | 10.3071 | + | 48.4911i | 0.368111 | + | 1.73183i | ||||
\(785\) | 10.9670 | − | 21.5239i | 0.391429 | − | 0.768223i | ||||
\(786\) | −3.64526 | − | 9.49623i | −0.130022 | − | 0.338719i | ||||
\(787\) | −11.7367 | − | 30.5750i | −0.418367 | − | 1.08988i | −0.967215 | − | 0.253960i | \(-0.918267\pi\) |
0.548848 | − | 0.835922i | \(-0.315067\pi\) | |||||||
\(788\) | 55.0756 | − | 108.092i | 1.96199 | − | 3.85061i | ||||
\(789\) | 1.07921 | + | 5.07730i | 0.0384210 | + | 0.180757i | ||||
\(790\) | −6.78143 | − | 15.2313i | −0.241272 | − | 0.541906i | ||||
\(791\) | 21.2919 | − | 5.70514i | 0.757052 | − | 0.202851i | ||||
\(792\) | −25.3259 | + | 10.2920i | −0.899915 | + | 0.365712i | ||||
\(793\) | 0.881078 | − | 0.910072i | 0.0312880 | − | 0.0323176i | ||||
\(794\) | −53.1960 | + | 73.2180i | −1.88785 | + | 2.59841i | ||||
\(795\) | −1.07124 | + | 20.4406i | −0.0379931 | + | 0.724952i | ||||
\(796\) | 5.32205 | + | 1.13124i | 0.188635 | + | 0.0400956i | ||||
\(797\) | 4.98148 | − | 11.1886i | 0.176453 | − | 0.396320i | −0.803568 | − | 0.595213i | \(-0.797068\pi\) |
0.980021 | + | 0.198893i | \(0.0637345\pi\) | |||||||
\(798\) | 1.69182 | − | 10.6817i | 0.0598899 | − | 0.378130i | ||||
\(799\) | −2.89143 | − | 55.1718i | −0.102291 | − | 1.95184i | ||||
\(800\) | 7.45234 | + | 4.83960i | 0.263480 | + | 0.171106i | ||||
\(801\) | −3.20785 | + | 0.508074i | −0.113344 | + | 0.0179519i | ||||
\(802\) | 44.8982 | − | 25.9220i | 1.58541 | − | 0.915338i | ||||
\(803\) | −0.438503 | − | 0.212774i | −0.0154744 | − | 0.00750861i | ||||
\(804\) | −10.5185 | − | 39.2555i | −0.370958 | − | 1.38443i | ||||
\(805\) | −8.60607 | − | 6.25268i | −0.303324 | − | 0.220378i | ||||
\(806\) | −64.6223 | − | 40.4944i | −2.27622 | − | 1.42636i | ||||
\(807\) | −10.1286 | − | 31.1726i | −0.356543 | − | 1.09733i | ||||
\(808\) | 26.2388 | − | 32.4022i | 0.923077 | − | 1.13990i | ||||
\(809\) | −1.85681 | + | 0.195159i | −0.0652820 | + | 0.00686141i | −0.137113 | − | 0.990555i | \(-0.543782\pi\) |
0.0718312 | + | 0.997417i | \(0.477116\pi\) | |||||||
\(810\) | −3.73925 | + | 4.15286i | −0.131384 | + | 0.145917i | ||||
\(811\) | 9.96168 | + | 19.5509i | 0.349802 | + | 0.686525i | 0.997132 | − | 0.0756853i | \(-0.0241144\pi\) |
−0.647330 | + | 0.762210i | \(0.724114\pi\) | |||||||
\(812\) | 108.341 | − | 87.7325i | 3.80201 | − | 3.07881i | ||||
\(813\) | −4.85485 | + | 18.1185i | −0.170267 | + | 0.635445i | ||||
\(814\) | 40.6423 | − | 9.46980i | 1.42451 | − | 0.331916i | ||||
\(815\) | 5.41913 | + | 9.38621i | 0.189824 | + | 0.328785i | ||||
\(816\) | −63.6754 | + | 28.3501i | −2.22908 | + | 0.992452i | ||||
\(817\) | 12.0954 | + | 0.633894i | 0.423165 | + | 0.0221771i | ||||
\(818\) | 51.4103 | − | 16.7042i | 1.79752 | − | 0.584050i | ||||
\(819\) | −4.73170 | + | 11.1080i | −0.165339 | + | 0.388146i | ||||
\(820\) | 56.8643 | + | 78.2670i | 1.98579 | + | 2.73320i | ||||
\(821\) | 21.9368 | − | 14.2459i | 0.765599 | − | 0.497186i | −0.101796 | − | 0.994805i | \(-0.532459\pi\) |
0.867395 | + | 0.497619i | \(0.165792\pi\) | |||||||
\(822\) | −20.7857 | + | 18.7155i | −0.724985 | + | 0.652779i | ||||
\(823\) | −52.0669 | − | 5.47245i | −1.81494 | − | 0.190758i | −0.864701 | − | 0.502288i | \(-0.832492\pi\) |
−0.950236 | + | 0.311530i | \(0.899159\pi\) | |||||||
\(824\) | −8.61769 | + | 8.61769i | −0.300211 | + | 0.300211i | ||||
\(825\) | −1.79664 | + | 0.842225i | −0.0625511 | + | 0.0293225i | ||||
\(826\) | 28.7479 | + | 7.70298i | 1.00027 | + | 0.268021i | ||||
\(827\) | 1.45195 | + | 9.16722i | 0.0504891 | + | 0.318776i | 0.999987 | + | 0.00500370i | \(0.00159273\pi\) |
−0.949498 | + | 0.313772i | \(0.898407\pi\) | |||||||
\(828\) | 7.54523 | − | 1.60379i | 0.262215 | − | 0.0557355i | ||||
\(829\) | −2.37779 | + | 11.1866i | −0.0825841 | + | 0.388528i | −0.999955 | − | 0.00950629i | \(-0.996974\pi\) |
0.917371 | + | 0.398034i | \(0.130307\pi\) | |||||||
\(830\) | −15.9278 | − | 12.8981i | −0.552864 | − | 0.447700i | ||||
\(831\) | 15.4390 | − | 11.2171i | 0.535573 | − | 0.389116i | ||||
\(832\) | 47.9566 | − | 32.2588i | 1.66260 | − | 1.11837i | ||||
\(833\) | −23.7412 | − | 7.71397i | −0.822583 | − | 0.267273i | ||||
\(834\) | 16.9563 | + | 6.50892i | 0.587149 | + | 0.225385i | ||||
\(835\) | 21.3605 | + | 12.3325i | 0.739212 | + | 0.426784i | ||||
\(836\) | −5.68700 | − | 19.6823i | −0.196689 | − | 0.680728i | ||||
\(837\) | 5.61510 | + | 5.61510i | 0.194086 | + | 0.194086i | ||||
\(838\) | 4.68412 | + | 5.78441i | 0.161810 | + | 0.199819i | ||||
\(839\) | 1.39598 | − | 2.14961i | 0.0481944 | − | 0.0742129i | −0.813752 | − | 0.581212i | \(-0.802579\pi\) |
0.861946 | + | 0.506999i | \(0.169245\pi\) | |||||||
\(840\) | 51.5969 | + | 26.2899i | 1.78026 | + | 0.907089i | ||||
\(841\) | −34.5103 | − | 15.3650i | −1.19001 | − | 0.529826i | ||||
\(842\) | 7.18005 | + | 68.3136i | 0.247441 | + | 2.35424i | ||||
\(843\) | 1.33354 | + | 2.05347i | 0.0459295 | + | 0.0707252i | ||||
\(844\) | −9.47507 | + | 29.1613i | −0.326145 | + | 1.00377i | ||||
\(845\) | −17.8414 | − | 20.6295i | −0.613762 | − | 0.709677i | ||||
\(846\) | − | 24.8391i | − | 0.853985i | ||||||
\(847\) | −36.6820 | + | 3.35908i | −1.26041 | + | 0.115419i | ||||
\(848\) | −57.3916 | + | 99.4052i | −1.97084 | + | 3.41359i | ||||
\(849\) | −2.71285 | + | 25.8110i | −0.0931047 | + | 0.885832i | ||||
\(850\) | −8.41171 | + | 4.28598i | −0.288519 | + | 0.147008i | ||||
\(851\) | −7.14279 | + | 0.374338i | −0.244852 | + | 0.0128321i | ||||
\(852\) | 69.6405 | − | 26.7325i | 2.38584 | − | 0.915840i | ||||
\(853\) | 0.647551 | + | 0.102562i | 0.0221717 | + | 0.00351166i | 0.167510 | − | 0.985870i | \(-0.446427\pi\) |
−0.145339 | + | 0.989382i | \(0.546427\pi\) | |||||||
\(854\) | 2.32869 | + | 2.09676i | 0.0796860 | + | 0.0717496i | ||||
\(855\) | −1.70220 | − | 1.89048i | −0.0582138 | − | 0.0646530i | ||||
\(856\) | 6.58046 | − | 17.1427i | 0.224915 | − | 0.585925i | ||||
\(857\) | 14.7721 | 0.504605 | 0.252303 | − | 0.967648i | \(-0.418812\pi\) | ||||
0.252303 | + | 0.967648i | \(0.418812\pi\) | |||||||
\(858\) | 1.13576 | + | 31.8313i | 0.0387743 | + | 1.08670i | ||||
\(859\) | 31.0849 | 1.06060 | 0.530302 | − | 0.847809i | \(-0.322079\pi\) | ||||
0.530302 | + | 0.847809i | \(0.322079\pi\) | |||||||
\(860\) | −38.2626 | + | 99.6775i | −1.30474 | + | 3.39898i | ||||
\(861\) | −20.2810 | − | 22.5243i | −0.691173 | − | 0.767626i | ||||
\(862\) | 48.7995 | + | 43.9393i | 1.66212 | + | 1.49658i | ||||
\(863\) | −19.6443 | − | 3.11136i | −0.668701 | − | 0.105912i | −0.187152 | − | 0.982331i | \(-0.559926\pi\) |
−0.481549 | + | 0.876419i | \(0.659926\pi\) | |||||||
\(864\) | −13.8660 | + | 5.32266i | −0.471731 | + | 0.181081i | ||||
\(865\) | 29.2961 | − | 1.53534i | 0.996097 | − | 0.0522032i | ||||
\(866\) | −5.13147 | + | 2.61461i | −0.174374 | + | 0.0888482i | ||||
\(867\) | 1.89173 | − | 17.9986i | 0.0642465 | − | 0.611264i | ||||
\(868\) | 67.7362 | − | 117.322i | 2.29912 | − | 3.98218i | ||||
\(869\) | 8.11727 | + | 5.65930i | 0.275359 | + | 0.191978i | ||||
\(870\) | − | 45.6651i | − | 1.54819i | ||||||
\(871\) | −28.6496 | − | 2.54310i | −0.970756 | − | 0.0861696i | ||||
\(872\) | 9.61782 | − | 29.6006i | 0.325700 | − | 1.00240i | ||||
\(873\) | 3.44141 | + | 5.29931i | 0.116474 | + | 0.179354i | ||||
\(874\) | 0.511148 | + | 4.86325i | 0.0172898 | + | 0.164502i | ||||
\(875\) | 35.9310 | + | 15.9975i | 1.21469 | + | 0.540814i | ||||
\(876\) | −0.667074 | − | 0.339891i | −0.0225383 | − | 0.0114839i | ||||
\(877\) | 8.86974 | − | 13.6582i | 0.299510 | − | 0.461205i | −0.656589 | − | 0.754248i | \(-0.728001\pi\) |
0.956099 | + | 0.293044i | \(0.0946682\pi\) | |||||||
\(878\) | 21.7823 | + | 26.8989i | 0.735118 | + | 0.907795i | ||||
\(879\) | −20.9161 | − | 20.9161i | −0.705482 | − | 0.705482i | ||||
\(880\) | 81.8229 | + | 2.69135i | 2.75825 | + | 0.0907255i | ||||
\(881\) | −2.19747 | − | 1.26871i | −0.0740345 | − | 0.0427438i | 0.462526 | − | 0.886606i | \(-0.346943\pi\) |
−0.536560 | + | 0.843862i | \(0.680277\pi\) | |||||||
\(882\) | −10.4778 | − | 4.02205i | −0.352806 | − | 0.135429i | ||||
\(883\) | 17.5836 | + | 5.71327i | 0.591736 | + | 0.192267i | 0.589551 | − | 0.807731i | \(-0.299305\pi\) |
0.00218478 | + | 0.999998i | \(0.499305\pi\) | |||||||
\(884\) | 7.45349 | + | 108.566i | 0.250688 | + | 3.65148i | ||||
\(885\) | 5.66365 | − | 4.11488i | 0.190381 | − | 0.138320i | ||||
\(886\) | −46.2583 | − | 37.4592i | −1.55408 | − | 1.25847i | ||||
\(887\) | −4.84260 | + | 22.7826i | −0.162598 | + | 0.764966i | 0.818967 | + | 0.573840i | \(0.194547\pi\) |
−0.981566 | + | 0.191125i | \(0.938786\pi\) | |||||||
\(888\) | 38.0858 | − | 8.09539i | 1.27808 | − | 0.271663i | ||||
\(889\) | 6.30327 | + | 39.7973i | 0.211405 | + | 1.33476i | ||||
\(890\) | 17.5312 | + | 4.69747i | 0.587647 | + | 0.157460i | ||||
\(891\) | 0.626244 | − | 3.25696i | 0.0209800 | − | 0.109112i | ||||
\(892\) | −81.1824 | + | 81.1824i | −2.71819 | + | 2.71819i | ||||
\(893\) | 11.2454 | + | 1.18194i | 0.376313 | + | 0.0395521i | ||||
\(894\) | −11.6365 | + | 10.4776i | −0.389183 | + | 0.350422i | ||||
\(895\) | −17.4189 | + | 11.3120i | −0.582250 | + | 0.378117i | ||||
\(896\) | 25.5716 | + | 35.1963i | 0.854287 | + | 1.17582i | ||||
\(897\) | 0.766632 | − | 5.40517i | 0.0255971 | − | 0.180474i | ||||
\(898\) | 17.3117 | − | 5.62491i | 0.577698 | − | 0.187706i | ||||
\(899\) | −64.8019 | − | 3.39612i | −2.16126 | − | 0.113267i | ||||
\(900\) | −2.78443 | + | 1.23971i | −0.0928144 | + | 0.0413237i | ||||
\(901\) | −28.8992 | − | 50.0549i | −0.962773 | − | 1.66757i | ||||
\(902\) | −73.6651 | − | 31.0930i | −2.45278 | − | 1.03528i | ||||
\(903\) | 8.65762 | − | 32.3107i | 0.288107 | − | 1.07523i | ||||
\(904\) | 42.1656 | − | 34.1450i | 1.40241 | − | 1.13565i | ||||
\(905\) | 10.4537 | + | 20.5165i | 0.347493 | + | 0.681993i | ||||
\(906\) | −5.13249 | + | 5.70021i | −0.170516 | + | 0.189377i | ||||
\(907\) | −41.4317 | + | 4.35464i | −1.37572 | + | 0.144594i | −0.763352 | − | 0.645983i | \(-0.776448\pi\) |
−0.612364 | + | 0.790576i | \(0.709781\pi\) | |||||||
\(908\) | 48.1291 | − | 59.4345i | 1.59722 | − | 1.97240i | ||||
\(909\) | 1.56313 | + | 4.81082i | 0.0518458 | + | 0.159565i | ||||
\(910\) | 49.4036 | − | 45.9527i | 1.63771 | − | 1.52332i | ||||
\(911\) | 46.2735 | + | 33.6197i | 1.53311 | + | 1.11387i | 0.954478 | + | 0.298280i | \(0.0964130\pi\) |
0.578631 | + | 0.815589i | \(0.303587\pi\) | |||||||
\(912\) | −3.69220 | − | 13.7795i | −0.122261 | − | 0.456284i | ||||
\(913\) | 12.0490 | + | 1.66850i | 0.398765 | + | 0.0552192i | ||||
\(914\) | −7.66772 | + | 4.42696i | −0.253626 | + | 0.146431i | ||||
\(915\) | 0.728003 | − | 0.115304i | 0.0240671 | − | 0.00381185i | ||||
\(916\) | −89.2410 | − | 57.9538i | −2.94861 | − | 1.91485i | ||||
\(917\) | −0.669284 | − | 12.7707i | −0.0221017 | − | 0.421726i | ||||
\(918\) | 2.46851 | − | 15.5855i | 0.0814728 | − | 0.514399i | ||||
\(919\) | 7.75178 | − | 17.4108i | 0.255708 | − | 0.574329i | −0.739384 | − | 0.673284i | \(-0.764883\pi\) |
0.995092 | + | 0.0989550i | \(0.0315500\pi\) | |||||||
\(920\) | −25.6116 | − | 5.44392i | −0.844390 | − | 0.179481i | ||||
\(921\) | 0.690168 | − | 13.1692i | 0.0227418 | − | 0.433940i | ||||
\(922\) | 12.8504 | − | 17.6870i | 0.423204 | − | 0.582491i | ||||
\(923\) | −0.854488 | − | 52.7861i | −0.0281258 | − | 1.73748i | ||||
\(924\) | −56.4356 | + | 4.06127i | −1.85659 | + | 0.133606i | ||||
\(925\) | 2.72989 | − | 0.731473i | 0.0897584 | − | 0.0240507i | ||||
\(926\) | −27.4209 | − | 61.5882i | −0.901105 | − | 2.02392i | ||||
\(927\) | −0.307416 | − | 1.44628i | −0.0100969 | − | 0.0475020i | ||||
\(928\) | 55.1007 | − | 108.141i | 1.80877 | − | 3.54991i | ||||
\(929\) | 19.6477 | + | 51.1840i | 0.644620 | + | 1.67929i | 0.730435 | + | 0.682983i | \(0.239318\pi\) |
−0.0858141 | + | 0.996311i | \(0.527349\pi\) | |||||||
\(930\) | −15.9029 | − | 41.4284i | −0.521475 | − | 1.35849i | ||||
\(931\) | 2.31948 | − | 4.55223i | 0.0760178 | − | 0.149193i | ||||
\(932\) | 15.0235 | + | 70.6801i | 0.492111 | + | 2.31520i | ||||
\(933\) | 6.28763 | + | 14.1222i | 0.205848 | + | 0.462341i | ||||
\(934\) | 10.9647 | − | 2.93798i | 0.358776 | − | 0.0961337i | ||||
\(935\) | −21.7744 | + | 35.0039i | −0.712098 | + | 1.14475i | ||||
\(936\) | 0.481016 | + | 29.7148i | 0.0157225 | + | 0.971260i | ||||
\(937\) | 21.8238 | − | 30.0379i | 0.712954 | − | 0.981297i | −0.286775 | − | 0.957998i | \(-0.592583\pi\) |
0.999729 | − | 0.0232986i | \(-0.00741684\pi\) | |||||||
\(938\) | 3.72381 | − | 71.0544i | 0.121587 | − | 2.32001i | ||||
\(939\) | −9.74324 | − | 2.07099i | −0.317959 | − | 0.0675842i | ||||
\(940\) | −40.5418 | + | 91.0584i | −1.32233 | + | 2.97000i | ||||
\(941\) | −3.45588 | + | 21.8196i | −0.112658 | + | 0.711297i | 0.865106 | + | 0.501590i | \(0.167251\pi\) |
−0.977764 | + | 0.209708i | \(0.932749\pi\) | |||||||
\(942\) | 1.60506 | + | 30.6264i | 0.0522958 | + | 0.997863i | ||||
\(943\) | 11.4937 | + | 7.46408i | 0.374286 | + | 0.243064i | ||||
\(944\) | 38.7748 | − | 6.14132i | 1.26201 | − | 0.199883i | ||||
\(945\) | −6.08436 | + | 3.51281i | −0.197924 | + | 0.114272i | ||||
\(946\) | −15.4995 | − | 86.8726i | −0.503933 | − | 2.82447i | ||||
\(947\) | 2.17148 | + | 8.10407i | 0.0705635 | + | 0.263347i | 0.992191 | − | 0.124730i | \(-0.0398063\pi\) |
−0.921627 | + | 0.388076i | \(0.873140\pi\) | |||||||
\(948\) | 12.2969 | + | 8.93425i | 0.399386 | + | 0.290171i | ||||
\(949\) | −0.387971 | + | 0.360871i | −0.0125941 | + | 0.0117144i | ||||
\(950\) | −0.597081 | − | 1.83763i | −0.0193719 | − | 0.0596205i | ||||
\(951\) | −10.4959 | + | 12.9613i | −0.340353 | + | 0.420301i | ||||
\(952\) | −162.624 | + | 17.0925i | −5.27068 | + | 0.553971i | ||||
\(953\) | −13.7616 | + | 15.2838i | −0.445782 | + | 0.495091i | −0.923595 | − | 0.383370i | \(-0.874763\pi\) |
0.477812 | + | 0.878462i | \(0.341430\pi\) | |||||||
\(954\) | −11.7974 | − | 23.1537i | −0.381954 | − | 0.749628i | ||||
\(955\) | −13.7596 | + | 11.1423i | −0.445251 | + | 0.360557i | ||||
\(956\) | −34.8496 | + | 130.061i | −1.12712 | + | 4.20646i | ||||
\(957\) | 14.0058 | + | 23.2029i | 0.452743 | + | 0.750044i | ||||
\(958\) | 53.4383 | + | 92.5578i | 1.72651 | + | 2.99041i | ||||
\(959\) | −32.1242 | + | 14.3026i | −1.03735 | + | 0.461856i | ||||
\(960\) | 33.5852 | + | 1.76013i | 1.08396 | + | 0.0568078i | ||||
\(961\) | −30.4896 | + | 9.90668i | −0.983536 | + | 0.319570i | ||||
\(962\) | 6.37069 | − | 44.9169i | 0.205399 | − | 1.44818i | ||||
\(963\) | 1.30944 | + | 1.80230i | 0.0421963 | + | 0.0580782i | ||||
\(964\) | 50.9295 | − | 33.0740i | 1.64033 | − | 1.06524i | ||||
\(965\) | −32.1127 | + | 28.9144i | −1.03374 | + | 0.930786i | ||||
\(966\) | 13.4311 | + | 1.41167i | 0.432140 | + | 0.0454197i | ||||
\(967\) | −15.3548 | + | 15.3548i | −0.493777 | + | 0.493777i | −0.909494 | − | 0.415717i | \(-0.863531\pi\) |
0.415717 | + | 0.909494i | \(0.363531\pi\) | |||||||
\(968\) | −79.1207 | + | 44.2774i | −2.54304 | + | 1.42313i | ||||
\(969\) | 6.93858 | + | 1.85919i | 0.222899 | + | 0.0597257i | ||||
\(970\) | −5.52374 | − | 34.8756i | −0.177357 | − | 1.11979i | ||||
\(971\) | −53.3635 | + | 11.3428i | −1.71252 | + | 0.364007i | −0.956767 | − | 0.290854i | \(-0.906060\pi\) |
−0.755749 | + | 0.654861i | \(0.772727\pi\) | |||||||
\(972\) | 1.05921 | − | 4.98321i | 0.0339743 | − | 0.159837i | ||||
\(973\) | 17.7457 | + | 14.3702i | 0.568901 | + | 0.460687i | ||||
\(974\) | −70.6969 | + | 51.3643i | −2.26527 | + | 1.64582i | ||||
\(975\) | 0.147746 | + | 2.15205i | 0.00473167 | + | 0.0689207i | ||||
\(976\) | 3.93107 | + | 1.27728i | 0.125830 | + | 0.0408848i | ||||
\(977\) | 34.0702 | + | 13.0783i | 1.09000 | + | 0.418413i | 0.835966 | − | 0.548782i | \(-0.184908\pi\) |
0.254037 | + | 0.967195i | \(0.418242\pi\) | |||||||
\(978\) | −11.9163 | − | 6.87987i | −0.381041 | − | 0.219994i | ||||
\(979\) | −10.3485 | + | 2.99010i | −0.330741 | + | 0.0955640i | ||||
\(980\) | 31.8462 | + | 31.8462i | 1.01729 | + | 1.01729i | ||||
\(981\) | 2.37633 | + | 2.93453i | 0.0758705 | + | 0.0936923i | ||||
\(982\) | 27.9583 | − | 43.0520i | 0.892184 | − | 1.37384i | ||||
\(983\) | 14.8419 | + | 7.56234i | 0.473384 | + | 0.241201i | 0.674371 | − | 0.738393i | \(-0.264415\pi\) |
−0.200987 | + | 0.979594i | \(0.564415\pi\) | |||||||
\(984\) | −68.1543 | − | 30.3442i | −2.17268 | − | 0.967339i | ||||
\(985\) | −5.22220 | − | 49.6859i | −0.166393 | − | 1.58312i | ||||
\(986\) | 70.2298 | + | 108.144i | 2.23657 | + | 3.44402i | ||||
\(987\) | 9.65003 | − | 29.6997i | 0.307164 | − | 0.945353i | ||||
\(988\) | −22.1850 | − | 1.96926i | −0.705799 | − | 0.0626506i | ||||
\(989\) | 15.1249i | 0.480943i | ||||||||
\(990\) | −10.5999 | + | 15.2037i | −0.336887 | + | 0.483205i | ||||
\(991\) | 4.91995 | − | 8.52160i | 0.156287 | − | 0.270698i | −0.777240 | − | 0.629205i | \(-0.783381\pi\) |
0.933527 | + | 0.358507i | \(0.116714\pi\) | |||||||
\(992\) | 12.3284 | − | 117.297i | 0.391427 | − | 3.72418i | ||||
\(993\) | −3.13533 | + | 1.59753i | −0.0994966 | + | 0.0506961i | ||||
\(994\) | 130.420 | − | 6.83503i | 4.13667 | − | 0.216794i | ||||
\(995\) | 2.09186 | − | 0.802990i | 0.0663164 | − | 0.0254565i | ||||
\(996\) | 18.4547 | + | 2.92293i | 0.584758 | + | 0.0926166i | ||||
\(997\) | 5.26571 | + | 4.74127i | 0.166767 | + | 0.150157i | 0.748289 | − | 0.663373i | \(-0.230876\pi\) |
−0.581522 | + | 0.813531i | \(0.697543\pi\) | |||||||
\(998\) | 19.8560 | + | 22.0523i | 0.628530 | + | 0.698054i | ||||
\(999\) | −1.69289 | + | 4.41014i | −0.0535608 | + | 0.139531i |
(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 | 429.2.bs.a.7.1 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.a.85.1 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.a.106.1 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.a.184.1 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.a.7.1 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.a.85.1 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.a.106.1 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.a.184.1 | yes | 224 | 143.41 | even | 60 | inner |