Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 53.19 | ||
Character | \(\chi\) | \(=\) | 637.53 |
Dual form | 637.2.bl.a.625.19 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.01838 | + | 0.694320i | 0.720104 | + | 0.490959i | 0.867072 | − | 0.498183i | \(-0.165999\pi\) |
−0.146968 | + | 0.989141i | \(0.546951\pi\) | |||||||
\(3\) | 0.670270 | + | 0.621920i | 0.386981 | + | 0.359066i | 0.849541 | − | 0.527522i | \(-0.176879\pi\) |
−0.462561 | + | 0.886588i | \(0.653069\pi\) | |||||||
\(4\) | −0.175663 | − | 0.447582i | −0.0878316 | − | 0.223791i | ||||
\(5\) | 0.228303 | − | 0.0704221i | 0.102100 | − | 0.0314937i | −0.243284 | − | 0.969955i | \(-0.578225\pi\) |
0.345384 | + | 0.938461i | \(0.387749\pi\) | |||||||
\(6\) | 0.250779 | + | 1.09873i | 0.102380 | + | 0.448556i | ||||
\(7\) | 2.28590 | + | 1.33217i | 0.863988 | + | 0.503513i | ||||
\(8\) | 0.680410 | − | 2.98107i | 0.240561 | − | 1.05397i | ||||
\(9\) | −0.161712 | − | 2.15790i | −0.0539042 | − | 0.719301i | ||||
\(10\) | 0.281395 | + | 0.0867987i | 0.0889848 | + | 0.0274482i | ||||
\(11\) | −0.0880881 | + | 1.17545i | −0.0265596 | + | 0.354413i | 0.968053 | + | 0.250747i | \(0.0806763\pi\) |
−0.994612 | + | 0.103666i | \(0.966943\pi\) | |||||||
\(12\) | 0.160619 | − | 0.409249i | 0.0463666 | − | 0.118140i | ||||
\(13\) | 0.900969 | − | 0.433884i | 0.249884 | − | 0.120338i | ||||
\(14\) | 1.40296 | + | 2.94380i | 0.374957 | + | 0.786764i | ||||
\(15\) | 0.196821 | + | 0.0947842i | 0.0508191 | + | 0.0244732i | ||||
\(16\) | 2.05780 | − | 1.90936i | 0.514451 | − | 0.477341i | ||||
\(17\) | 4.17595 | − | 0.629424i | 1.01282 | − | 0.152658i | 0.378395 | − | 0.925644i | \(-0.376476\pi\) |
0.634423 | + | 0.772986i | \(0.281238\pi\) | |||||||
\(18\) | 1.33359 | − | 2.30985i | 0.314330 | − | 0.544436i | ||||
\(19\) | 1.03747 | + | 1.79696i | 0.238013 | + | 0.412250i | 0.960144 | − | 0.279506i | \(-0.0901707\pi\) |
−0.722131 | + | 0.691756i | \(0.756837\pi\) | |||||||
\(20\) | −0.0716241 | − | 0.0898137i | −0.0160156 | − | 0.0200830i | ||||
\(21\) | 0.703666 | + | 2.31456i | 0.153553 | + | 0.505078i | ||||
\(22\) | −0.905849 | + | 1.13590i | −0.193128 | + | 0.242175i | ||||
\(23\) | 0.137468 | + | 0.0207200i | 0.0286641 | + | 0.00432041i | 0.163359 | − | 0.986567i | \(-0.447767\pi\) |
−0.134695 | + | 0.990887i | \(0.543005\pi\) | |||||||
\(24\) | 2.31005 | − | 1.57496i | 0.471536 | − | 0.321488i | ||||
\(25\) | −4.08403 | + | 2.78445i | −0.816806 | + | 0.556889i | ||||
\(26\) | 1.21878 | + | 0.183702i | 0.239023 | + | 0.0360269i | ||||
\(27\) | 2.94393 | − | 3.69157i | 0.566559 | − | 0.710442i | ||||
\(28\) | 0.194708 | − | 1.25714i | 0.0367963 | − | 0.237577i | ||||
\(29\) | 1.31913 | + | 1.65414i | 0.244957 | + | 0.307166i | 0.889076 | − | 0.457759i | \(-0.151348\pi\) |
−0.644120 | + | 0.764925i | \(0.722776\pi\) | |||||||
\(30\) | 0.134629 | + | 0.233183i | 0.0245797 | + | 0.0425733i | ||||
\(31\) | −0.459726 | + | 0.796269i | −0.0825692 | + | 0.143014i | −0.904353 | − | 0.426786i | \(-0.859646\pi\) |
0.821784 | + | 0.569800i | \(0.192979\pi\) | |||||||
\(32\) | −2.62583 | + | 0.395780i | −0.464185 | + | 0.0699647i | ||||
\(33\) | −0.790081 | + | 0.733088i | −0.137535 | + | 0.127614i | ||||
\(34\) | 4.68973 | + | 2.25846i | 0.804283 | + | 0.387322i | ||||
\(35\) | 0.615691 | + | 0.143160i | 0.104071 | + | 0.0241985i | ||||
\(36\) | −0.937433 | + | 0.451444i | −0.156239 | + | 0.0752406i | ||||
\(37\) | −1.24872 | + | 3.18169i | −0.205289 | + | 0.523067i | −0.996023 | − | 0.0890920i | \(-0.971603\pi\) |
0.790735 | + | 0.612159i | \(0.209699\pi\) | |||||||
\(38\) | −0.191120 | + | 2.55033i | −0.0310038 | + | 0.413717i | ||||
\(39\) | 0.873733 | + | 0.269511i | 0.139909 | + | 0.0431563i | ||||
\(40\) | −0.0545937 | − | 0.728503i | −0.00863203 | − | 0.115186i | ||||
\(41\) | −1.38906 | + | 6.08589i | −0.216935 | + | 0.950456i | 0.742792 | + | 0.669522i | \(0.233501\pi\) |
−0.959727 | + | 0.280933i | \(0.909356\pi\) | |||||||
\(42\) | −0.890444 | + | 2.84567i | −0.137399 | + | 0.439097i | ||||
\(43\) | −2.52719 | − | 11.0723i | −0.385392 | − | 1.68851i | −0.680256 | − | 0.732975i | \(-0.738131\pi\) |
0.294863 | − | 0.955539i | \(-0.404726\pi\) | |||||||
\(44\) | 0.541587 | − | 0.167057i | 0.0816473 | − | 0.0251848i | ||||
\(45\) | −0.188883 | − | 0.481267i | −0.0281571 | − | 0.0717431i | ||||
\(46\) | 0.125609 | + | 0.116548i | 0.0185200 | + | 0.0171840i | ||||
\(47\) | −5.15190 | − | 3.51250i | −0.751481 | − | 0.512351i | 0.125960 | − | 0.992035i | \(-0.459799\pi\) |
−0.877441 | + | 0.479684i | \(0.840751\pi\) | |||||||
\(48\) | 2.56675 | 0.370479 | ||||||||
\(49\) | 3.45065 | + | 6.09040i | 0.492950 | + | 0.870058i | ||||
\(50\) | −6.09240 | −0.861595 | ||||||||
\(51\) | 3.19047 | + | 2.17522i | 0.446755 | + | 0.304592i | ||||
\(52\) | −0.352466 | − | 0.327040i | −0.0488782 | − | 0.0453523i | ||||
\(53\) | 3.19646 | + | 8.14446i | 0.439068 | + | 1.11873i | 0.963603 | + | 0.267338i | \(0.0861441\pi\) |
−0.524535 | + | 0.851389i | \(0.675761\pi\) | |||||||
\(54\) | 5.56117 | − | 1.71539i | 0.756779 | − | 0.233435i | ||||
\(55\) | 0.0626672 | + | 0.274563i | 0.00845004 | + | 0.0370220i | ||||
\(56\) | 5.52664 | − | 5.90800i | 0.738528 | − | 0.789490i | ||||
\(57\) | −0.422176 | + | 1.84967i | −0.0559185 | + | 0.244995i | ||||
\(58\) | 0.194876 | + | 2.60044i | 0.0255885 | + | 0.341455i | ||||
\(59\) | −1.16986 | − | 0.360854i | −0.152303 | − | 0.0469792i | 0.217666 | − | 0.976023i | \(-0.430156\pi\) |
−0.369969 | + | 0.929044i | \(0.620632\pi\) | |||||||
\(60\) | 0.00784947 | − | 0.104744i | 0.00101336 | − | 0.0135224i | ||||
\(61\) | 1.30595 | − | 3.32750i | 0.167210 | − | 0.426043i | −0.822567 | − | 0.568668i | \(-0.807459\pi\) |
0.989777 | + | 0.142625i | \(0.0455542\pi\) | |||||||
\(62\) | −1.02104 | + | 0.491708i | −0.129672 | + | 0.0624469i | ||||
\(63\) | 2.50503 | − | 5.14817i | 0.315605 | − | 0.648609i | ||||
\(64\) | −8.00724 | − | 3.85608i | −1.00091 | − | 0.482011i | ||||
\(65\) | 0.175139 | − | 0.162505i | 0.0217233 | − | 0.0201563i | ||||
\(66\) | −1.31360 | + | 0.197994i | −0.161693 | + | 0.0243713i | ||||
\(67\) | −4.41526 | + | 7.64745i | −0.539409 | + | 0.934285i | 0.459526 | + | 0.888164i | \(0.348019\pi\) |
−0.998936 | + | 0.0461205i | \(0.985314\pi\) | |||||||
\(68\) | −1.01528 | − | 1.75852i | −0.123121 | − | 0.213252i | ||||
\(69\) | 0.0792546 | + | 0.0993821i | 0.00954113 | + | 0.0119642i | ||||
\(70\) | 0.527609 | + | 0.573278i | 0.0630613 | + | 0.0685199i | ||||
\(71\) | −4.30503 | + | 5.39833i | −0.510913 | + | 0.640664i | −0.968652 | − | 0.248422i | \(-0.920088\pi\) |
0.457739 | + | 0.889086i | \(0.348659\pi\) | |||||||
\(72\) | −6.54289 | − | 0.986183i | −0.771087 | − | 0.116223i | ||||
\(73\) | 10.1521 | − | 6.92162i | 1.18822 | − | 0.810114i | 0.202627 | − | 0.979256i | \(-0.435052\pi\) |
0.985592 | + | 0.169142i | \(0.0540997\pi\) | |||||||
\(74\) | −3.48079 | + | 2.37316i | −0.404633 | + | 0.275874i | ||||
\(75\) | −4.46911 | − | 0.673609i | −0.516048 | − | 0.0777817i | ||||
\(76\) | 0.622040 | − | 0.780014i | 0.0713529 | − | 0.0894737i | ||||
\(77\) | −1.76726 | + | 2.56962i | −0.201399 | + | 0.292835i | ||||
\(78\) | 0.702666 | + | 0.881116i | 0.0795613 | + | 0.0997667i | ||||
\(79\) | −6.45930 | − | 11.1878i | −0.726729 | − | 1.25873i | −0.958259 | − | 0.285903i | \(-0.907706\pi\) |
0.231530 | − | 0.972828i | \(-0.425627\pi\) | |||||||
\(80\) | 0.335341 | − | 0.580827i | 0.0374923 | − | 0.0649385i | ||||
\(81\) | −2.15027 | + | 0.324101i | −0.238919 | + | 0.0360112i | ||||
\(82\) | −5.64015 | + | 5.23329i | −0.622850 | + | 0.577921i | ||||
\(83\) | −12.4973 | − | 6.01839i | −1.37176 | − | 0.660604i | −0.404532 | − | 0.914524i | \(-0.632566\pi\) |
−0.967225 | + | 0.253920i | \(0.918280\pi\) | |||||||
\(84\) | 0.912347 | − | 0.721531i | 0.0995452 | − | 0.0787255i | ||||
\(85\) | 0.909056 | − | 0.437778i | 0.0986010 | − | 0.0474837i | ||||
\(86\) | 5.11410 | − | 13.0305i | 0.551468 | − | 1.40512i | ||||
\(87\) | −0.144567 | + | 1.92911i | −0.0154992 | + | 0.206823i | ||||
\(88\) | 3.44418 | + | 1.06239i | 0.367151 | + | 0.113251i | ||||
\(89\) | 0.412037 | + | 5.49825i | 0.0436758 | + | 0.582813i | 0.975514 | + | 0.219938i | \(0.0705856\pi\) |
−0.931838 | + | 0.362875i | \(0.881795\pi\) | |||||||
\(90\) | 0.141798 | − | 0.621259i | 0.0149468 | − | 0.0654864i | ||||
\(91\) | 2.63753 | + | 0.208429i | 0.276488 | + | 0.0218493i | ||||
\(92\) | −0.0148742 | − | 0.0651680i | −0.00155074 | − | 0.00679424i | ||||
\(93\) | −0.803356 | + | 0.247802i | −0.0833041 | + | 0.0256959i | ||||
\(94\) | −2.80779 | − | 7.15413i | −0.289601 | − | 0.737892i | ||||
\(95\) | 0.363403 | + | 0.337189i | 0.0372844 | + | 0.0345949i | ||||
\(96\) | −2.00616 | − | 1.36778i | −0.204753 | − | 0.139598i | ||||
\(97\) | −10.6154 | −1.07783 | −0.538914 | − | 0.842361i | \(-0.681165\pi\) | ||||
−0.538914 | + | 0.842361i | \(0.681165\pi\) | |||||||
\(98\) | −0.714613 | + | 8.59821i | −0.0721869 | + | 0.868550i | ||||
\(99\) | 2.55076 | 0.256361 | ||||||||
\(100\) | 1.96368 | + | 1.33882i | 0.196368 | + | 0.133882i | ||||
\(101\) | −7.89363 | − | 7.32421i | −0.785445 | − | 0.728787i | 0.181605 | − | 0.983372i | \(-0.441871\pi\) |
−0.967050 | + | 0.254585i | \(0.918061\pi\) | |||||||
\(102\) | 1.73881 | + | 4.43041i | 0.172168 | + | 0.438676i | ||||
\(103\) | −5.38702 | + | 1.66167i | −0.530799 | + | 0.163730i | −0.548558 | − | 0.836113i | \(-0.684823\pi\) |
0.0177592 | + | 0.999842i | \(0.494347\pi\) | |||||||
\(104\) | −0.680410 | − | 2.98107i | −0.0667197 | − | 0.292318i | ||||
\(105\) | 0.323645 | + | 0.478866i | 0.0315845 | + | 0.0467326i | ||||
\(106\) | −2.39965 | + | 10.5135i | −0.233074 | + | 1.02116i | ||||
\(107\) | 1.01307 | + | 13.5185i | 0.0979375 | + | 1.30688i | 0.802247 | + | 0.596992i | \(0.203638\pi\) |
−0.704310 | + | 0.709893i | \(0.748743\pi\) | |||||||
\(108\) | −2.16942 | − | 0.669177i | −0.208752 | − | 0.0643916i | ||||
\(109\) | −0.803961 | + | 10.7281i | −0.0770055 | + | 1.02757i | 0.816156 | + | 0.577831i | \(0.196101\pi\) |
−0.893162 | + | 0.449736i | \(0.851518\pi\) | |||||||
\(110\) | −0.126816 | + | 0.323121i | −0.0120914 | + | 0.0308083i | ||||
\(111\) | −2.81574 | + | 1.35599i | −0.267258 | + | 0.128705i | ||||
\(112\) | 7.24752 | − | 1.62326i | 0.684826 | − | 0.153384i | ||||
\(113\) | −7.06456 | − | 3.40211i | −0.664578 | − | 0.320044i | 0.0710074 | − | 0.997476i | \(-0.477379\pi\) |
−0.735586 | + | 0.677432i | \(0.763093\pi\) | |||||||
\(114\) | −1.71420 | + | 1.59055i | −0.160550 | + | 0.148968i | ||||
\(115\) | 0.0328435 | − | 0.00495036i | 0.00306267 | − | 0.000461623i | ||||
\(116\) | 0.508641 | − | 0.880991i | 0.0472261 | − | 0.0817980i | ||||
\(117\) | −1.08198 | − | 1.87404i | −0.100029 | − | 0.173255i | ||||
\(118\) | −0.940814 | − | 1.17974i | −0.0866090 | − | 0.108604i | ||||
\(119\) | 10.3843 | + | 4.12428i | 0.951927 | + | 0.378072i | ||||
\(120\) | 0.416478 | − | 0.522246i | 0.0380190 | − | 0.0476744i | ||||
\(121\) | 9.50321 | + | 1.43238i | 0.863928 | + | 0.130216i | ||||
\(122\) | 3.64031 | − | 2.48192i | 0.329578 | − | 0.224702i | ||||
\(123\) | −4.71598 | + | 3.21530i | −0.425226 | + | 0.289914i | ||||
\(124\) | 0.437153 | + | 0.0658902i | 0.0392575 | + | 0.00591711i | ||||
\(125\) | −1.48112 | + | 1.85727i | −0.132475 | + | 0.166119i | ||||
\(126\) | 6.12556 | − | 3.50350i | 0.545708 | − | 0.312117i | ||||
\(127\) | −0.436979 | − | 0.547954i | −0.0387756 | − | 0.0486231i | 0.762066 | − | 0.647500i | \(-0.224185\pi\) |
−0.800841 | + | 0.598877i | \(0.795614\pi\) | |||||||
\(128\) | −2.82158 | − | 4.88711i | −0.249395 | − | 0.431964i | ||||
\(129\) | 5.19220 | − | 8.99316i | 0.457148 | − | 0.791803i | ||||
\(130\) | 0.291188 | − | 0.0438896i | 0.0255389 | − | 0.00384937i | ||||
\(131\) | 13.2019 | − | 12.2496i | 1.15345 | − | 1.07025i | 0.156874 | − | 0.987619i | \(-0.449858\pi\) |
0.996580 | − | 0.0826309i | \(-0.0263323\pi\) | |||||||
\(132\) | 0.466906 | + | 0.224850i | 0.0406389 | + | 0.0195707i | ||||
\(133\) | −0.0222927 | + | 5.48975i | −0.00193302 | + | 0.476022i | ||||
\(134\) | −9.80619 | + | 4.72241i | −0.847126 | + | 0.407954i | ||||
\(135\) | 0.412139 | − | 1.05011i | 0.0354712 | − | 0.0903792i | ||||
\(136\) | 0.965004 | − | 12.8771i | 0.0827484 | − | 1.10420i | ||||
\(137\) | −7.94398 | − | 2.45039i | −0.678700 | − | 0.209351i | −0.0638078 | − | 0.997962i | \(-0.520324\pi\) |
−0.614893 | + | 0.788611i | \(0.710801\pi\) | |||||||
\(138\) | 0.0117083 | + | 0.156237i | 0.000996680 | + | 0.0132998i | ||||
\(139\) | 2.28436 | − | 10.0084i | 0.193757 | − | 0.848905i | −0.780803 | − | 0.624777i | \(-0.785190\pi\) |
0.974560 | − | 0.224127i | \(-0.0719532\pi\) | |||||||
\(140\) | −0.0440782 | − | 0.300720i | −0.00372528 | − | 0.0254155i | ||||
\(141\) | −1.26867 | − | 5.55839i | −0.106841 | − | 0.468101i | ||||
\(142\) | −8.13233 | + | 2.50849i | −0.682450 | + | 0.210508i | ||||
\(143\) | 0.430646 | + | 1.09727i | 0.0360124 | + | 0.0917582i | ||||
\(144\) | −4.45299 | − | 4.13177i | −0.371083 | − | 0.344314i | ||||
\(145\) | 0.417649 | + | 0.284748i | 0.0346839 | + | 0.0236471i | ||||
\(146\) | 15.1446 | 1.25337 | ||||||||
\(147\) | −1.47487 | + | 6.22824i | −0.121646 | + | 0.513697i | ||||
\(148\) | 1.64342 | 0.135089 | ||||||||
\(149\) | −13.8292 | − | 9.42860i | −1.13293 | − | 0.772421i | −0.156380 | − | 0.987697i | \(-0.549982\pi\) |
−0.976553 | + | 0.215276i | \(0.930935\pi\) | |||||||
\(150\) | −4.08355 | − | 3.78898i | −0.333421 | − | 0.309369i | ||||
\(151\) | 4.14440 | + | 10.5598i | 0.337267 | + | 0.859341i | 0.994411 | + | 0.105577i | \(0.0336688\pi\) |
−0.657145 | + | 0.753765i | \(0.728236\pi\) | |||||||
\(152\) | 6.06276 | − | 1.87012i | 0.491755 | − | 0.151686i | ||||
\(153\) | −2.03354 | − | 8.90952i | −0.164402 | − | 0.720292i | ||||
\(154\) | −3.58389 | + | 1.38980i | −0.288798 | + | 0.111994i | ||||
\(155\) | −0.0488818 | + | 0.214165i | −0.00392628 | + | 0.0172022i | ||||
\(156\) | −0.0328543 | − | 0.438411i | −0.00263045 | − | 0.0351010i | ||||
\(157\) | 14.3218 | + | 4.41769i | 1.14301 | + | 0.352570i | 0.807732 | − | 0.589550i | \(-0.200695\pi\) |
0.335274 | + | 0.942121i | \(0.391171\pi\) | |||||||
\(158\) | 1.18992 | − | 15.8783i | 0.0946646 | − | 1.26321i | ||||
\(159\) | −2.92271 | + | 7.44693i | −0.231786 | + | 0.590580i | ||||
\(160\) | −0.571612 | + | 0.275274i | −0.0451899 | + | 0.0217623i | ||||
\(161\) | 0.286635 | + | 0.230494i | 0.0225900 | + | 0.0181655i | ||||
\(162\) | −2.41482 | − | 1.16292i | −0.189726 | − | 0.0913675i | ||||
\(163\) | 16.2065 | − | 15.0375i | 1.26939 | − | 1.17782i | 0.294378 | − | 0.955689i | \(-0.404888\pi\) |
0.975016 | − | 0.222136i | \(-0.0713028\pi\) | |||||||
\(164\) | 2.96794 | − | 0.447345i | 0.231757 | − | 0.0349318i | ||||
\(165\) | −0.128752 | + | 0.223005i | −0.0100233 | + | 0.0173609i | ||||
\(166\) | −8.54833 | − | 14.8061i | −0.663479 | − | 1.14918i | ||||
\(167\) | 2.04089 | + | 2.55919i | 0.157929 | + | 0.198036i | 0.854500 | − | 0.519451i | \(-0.173864\pi\) |
−0.696572 | + | 0.717487i | \(0.745292\pi\) | |||||||
\(168\) | 7.37864 | − | 0.522831i | 0.569275 | − | 0.0403373i | ||||
\(169\) | 0.623490 | − | 0.781831i | 0.0479608 | − | 0.0601409i | ||||
\(170\) | 1.22972 | + | 0.185351i | 0.0943155 | + | 0.0142158i | ||||
\(171\) | 3.70989 | − | 2.52936i | 0.283702 | − | 0.193425i | ||||
\(172\) | −4.51185 | + | 3.07612i | −0.344025 | + | 0.234552i | ||||
\(173\) | −4.52241 | − | 0.681644i | −0.343833 | − | 0.0518244i | −0.0251438 | − | 0.999684i | \(-0.508004\pi\) |
−0.318689 | + | 0.947859i | \(0.603242\pi\) | |||||||
\(174\) | −1.48665 | + | 1.86420i | −0.112702 | + | 0.141324i | ||||
\(175\) | −13.0450 | + | 0.924335i | −0.986111 | + | 0.0698732i | ||||
\(176\) | 2.06310 | + | 2.58705i | 0.155512 | + | 0.195006i | ||||
\(177\) | −0.559700 | − | 0.969428i | −0.0420696 | − | 0.0728667i | ||||
\(178\) | −3.39793 | + | 5.88540i | −0.254686 | + | 0.441129i | ||||
\(179\) | −13.9889 | + | 2.10849i | −1.04558 | + | 0.157596i | −0.649298 | − | 0.760534i | \(-0.724937\pi\) |
−0.396280 | + | 0.918130i | \(0.629699\pi\) | |||||||
\(180\) | −0.182227 | + | 0.169082i | −0.0135824 | + | 0.0126026i | ||||
\(181\) | 5.74917 | + | 2.76865i | 0.427332 | + | 0.205792i | 0.635172 | − | 0.772371i | \(-0.280929\pi\) |
−0.207840 | + | 0.978163i | \(0.566643\pi\) | |||||||
\(182\) | 2.54129 | + | 2.04355i | 0.188373 | + | 0.151478i | ||||
\(183\) | 2.94478 | − | 1.41813i | 0.217684 | − | 0.104831i | ||||
\(184\) | 0.155302 | − | 0.395704i | 0.0114490 | − | 0.0291717i | ||||
\(185\) | −0.0610253 | + | 0.814326i | −0.00448667 | + | 0.0598705i | ||||
\(186\) | −0.990176 | − | 0.305429i | −0.0726033 | − | 0.0223951i | ||||
\(187\) | 0.372007 | + | 4.96409i | 0.0272039 | + | 0.363010i | ||||
\(188\) | −0.667136 | + | 2.92292i | −0.0486559 | + | 0.213175i | ||||
\(189\) | 11.6473 | − | 4.51673i | 0.847216 | − | 0.328544i | ||||
\(190\) | 0.135966 | + | 0.595705i | 0.00986400 | + | 0.0432170i | ||||
\(191\) | −23.9927 | + | 7.40076i | −1.73605 | + | 0.535500i | −0.991274 | − | 0.131817i | \(-0.957919\pi\) |
−0.744774 | + | 0.667317i | \(0.767443\pi\) | |||||||
\(192\) | −2.96884 | − | 7.56448i | −0.214258 | − | 0.545919i | ||||
\(193\) | 13.6112 | + | 12.6294i | 0.979759 | + | 0.909084i | 0.995870 | − | 0.0907866i | \(-0.0289381\pi\) |
−0.0161113 | + | 0.999870i | \(0.505129\pi\) | |||||||
\(194\) | −10.8105 | − | 7.37047i | −0.776148 | − | 0.529169i | ||||
\(195\) | 0.218455 | 0.0156439 | ||||||||
\(196\) | 2.11980 | − | 2.61431i | 0.151415 | − | 0.186736i | ||||
\(197\) | −9.51748 | −0.678092 | −0.339046 | − | 0.940770i | \(-0.610104\pi\) | ||||
−0.339046 | + | 0.940770i | \(0.610104\pi\) | |||||||
\(198\) | 2.59765 | + | 1.77105i | 0.184607 | + | 0.125863i | ||||
\(199\) | 15.8048 | + | 14.6647i | 1.12037 | + | 1.03955i | 0.998897 | + | 0.0469585i | \(0.0149529\pi\) |
0.121475 | + | 0.992595i | \(0.461238\pi\) | |||||||
\(200\) | 5.52181 | + | 14.0694i | 0.390451 | + | 0.994853i | ||||
\(201\) | −7.71551 | + | 2.37992i | −0.544210 | + | 0.167867i | ||||
\(202\) | −2.95337 | − | 12.9395i | −0.207798 | − | 0.910423i | ||||
\(203\) | 0.811807 | + | 5.53850i | 0.0569777 | + | 0.388726i | ||||
\(204\) | 0.413144 | − | 1.81010i | 0.0289259 | − | 0.126733i | ||||
\(205\) | 0.111454 | + | 1.48725i | 0.00778426 | + | 0.103874i | ||||
\(206\) | −6.63977 | − | 2.04810i | −0.462615 | − | 0.142698i | ||||
\(207\) | 0.0224814 | − | 0.299993i | 0.00156257 | − | 0.0208510i | ||||
\(208\) | 1.02558 | − | 2.61312i | 0.0711109 | − | 0.181188i | ||||
\(209\) | −2.20363 | + | 1.06121i | −0.152428 | + | 0.0734056i | ||||
\(210\) | −0.00289282 | + | 0.712381i | −0.000199624 | + | 0.0491590i | ||||
\(211\) | −9.99720 | − | 4.81440i | −0.688236 | − | 0.331437i | 0.0568716 | − | 0.998382i | \(-0.481887\pi\) |
−0.745107 | + | 0.666945i | \(0.767602\pi\) | |||||||
\(212\) | 3.08382 | − | 2.86136i | 0.211797 | − | 0.196519i | ||||
\(213\) | −6.24286 | + | 0.940959i | −0.427754 | + | 0.0644735i | ||||
\(214\) | −8.35449 | + | 14.4704i | −0.571101 | + | 0.989176i | ||||
\(215\) | −1.35670 | − | 2.34987i | −0.0925262 | − | 0.160260i | ||||
\(216\) | −9.00174 | − | 11.2878i | −0.612491 | − | 0.768040i | ||||
\(217\) | −2.11165 | + | 1.20776i | −0.143348 | + | 0.0819878i | ||||
\(218\) | −8.26749 | + | 10.3671i | −0.559945 | + | 0.702149i | ||||
\(219\) | 11.1094 | + | 1.67447i | 0.750702 | + | 0.113150i | ||||
\(220\) | 0.111881 | − | 0.0762793i | 0.00754303 | − | 0.00514275i | ||||
\(221\) | 3.48931 | − | 2.37897i | 0.234716 | − | 0.160027i | ||||
\(222\) | −3.80898 | − | 0.574112i | −0.255642 | − | 0.0385319i | ||||
\(223\) | 8.22941 | − | 10.3194i | 0.551082 | − | 0.691035i | −0.425799 | − | 0.904818i | \(-0.640007\pi\) |
0.976881 | + | 0.213783i | \(0.0685784\pi\) | |||||||
\(224\) | −6.52962 | − | 2.59334i | −0.436279 | − | 0.173275i | ||||
\(225\) | 6.66900 | + | 8.36266i | 0.444600 | + | 0.557511i | ||||
\(226\) | −4.83226 | − | 8.36972i | −0.321437 | − | 0.556745i | ||||
\(227\) | −9.05441 | + | 15.6827i | −0.600962 | + | 1.04090i | 0.391713 | + | 0.920087i | \(0.371883\pi\) |
−0.992676 | + | 0.120810i | \(0.961451\pi\) | |||||||
\(228\) | 0.902041 | − | 0.135961i | 0.0597391 | − | 0.00900423i | ||||
\(229\) | 14.5507 | − | 13.5010i | 0.961534 | − | 0.892173i | −0.0326935 | − | 0.999465i | \(-0.510409\pi\) |
0.994228 | + | 0.107292i | \(0.0342180\pi\) | |||||||
\(230\) | 0.0368843 | + | 0.0177625i | 0.00243208 | + | 0.00117123i | ||||
\(231\) | −2.78264 | + | 0.623243i | −0.183084 | + | 0.0410063i | ||||
\(232\) | 5.82866 | − | 2.80693i | 0.382670 | − | 0.184284i | ||||
\(233\) | −3.11464 | + | 7.93597i | −0.204047 | + | 0.519903i | −0.995864 | − | 0.0908553i | \(-0.971040\pi\) |
0.791817 | + | 0.610758i | \(0.209135\pi\) | |||||||
\(234\) | 0.199319 | − | 2.65972i | 0.0130299 | − | 0.173872i | ||||
\(235\) | −1.42355 | − | 0.439107i | −0.0928621 | − | 0.0286442i | ||||
\(236\) | 0.0439894 | + | 0.586997i | 0.00286346 | + | 0.0382103i | ||||
\(237\) | 2.62846 | − | 11.5160i | 0.170737 | − | 0.748048i | ||||
\(238\) | 7.71160 | + | 11.4101i | 0.499869 | + | 0.739608i | ||||
\(239\) | 2.86082 | + | 12.5341i | 0.185051 | + | 0.810762i | 0.979177 | + | 0.203009i | \(0.0650719\pi\) |
−0.794126 | + | 0.607753i | \(0.792071\pi\) | |||||||
\(240\) | 0.585997 | − | 0.180756i | 0.0378259 | − | 0.0116678i | ||||
\(241\) | 9.11131 | + | 23.2152i | 0.586911 | + | 1.49543i | 0.847939 | + | 0.530094i | \(0.177843\pi\) |
−0.261028 | + | 0.965331i | \(0.584061\pi\) | |||||||
\(242\) | 8.68335 | + | 8.05697i | 0.558187 | + | 0.517922i | ||||
\(243\) | −13.3466 | − | 9.09953i | −0.856182 | − | 0.583735i | ||||
\(244\) | −1.71874 | −0.110031 | ||||||||
\(245\) | 1.21669 | + | 1.14745i | 0.0777316 | + | 0.0733081i | ||||
\(246\) | −7.03511 | −0.448542 | ||||||||
\(247\) | 1.71440 | + | 1.16886i | 0.109085 | + | 0.0743727i | ||||
\(248\) | 2.06093 | + | 1.91227i | 0.130869 | + | 0.121429i | ||||
\(249\) | −4.63362 | − | 11.8063i | −0.293644 | − | 0.748192i | ||||
\(250\) | −2.79788 | + | 0.863033i | −0.176954 | + | 0.0545830i | ||||
\(251\) | −0.410425 | − | 1.79819i | −0.0259058 | − | 0.113501i | 0.960322 | − | 0.278894i | \(-0.0899678\pi\) |
−0.986228 | + | 0.165393i | \(0.947111\pi\) | |||||||
\(252\) | −2.74427 | − | 0.216865i | −0.172873 | − | 0.0136612i | ||||
\(253\) | −0.0364647 | + | 0.159762i | −0.00229252 | + | 0.0100442i | ||||
\(254\) | −0.0645552 | − | 0.861429i | −0.00405055 | − | 0.0540509i | ||||
\(255\) | 0.881576 | + | 0.271930i | 0.0552065 | + | 0.0170289i | ||||
\(256\) | −0.808525 | + | 10.7890i | −0.0505328 | + | 0.674313i | ||||
\(257\) | −7.18442 | + | 18.3056i | −0.448152 | + | 1.14187i | 0.511151 | + | 0.859491i | \(0.329219\pi\) |
−0.959302 | + | 0.282381i | \(0.908876\pi\) | |||||||
\(258\) | 11.5318 | − | 5.55341i | 0.717937 | − | 0.345740i | ||||
\(259\) | −7.09300 | + | 5.60951i | −0.440738 | + | 0.348558i | ||||
\(260\) | −0.103500 | − | 0.0498429i | −0.00641878 | − | 0.00309112i | ||||
\(261\) | 3.35615 | − | 3.11405i | 0.207741 | − | 0.192755i | ||||
\(262\) | 21.9497 | − | 3.30838i | 1.35606 | − | 0.204392i | ||||
\(263\) | −3.26791 | + | 5.66018i | −0.201508 | + | 0.349022i | −0.949014 | − | 0.315233i | \(-0.897917\pi\) |
0.747507 | + | 0.664254i | \(0.231251\pi\) | |||||||
\(264\) | 1.64781 | + | 2.85409i | 0.101416 | + | 0.175657i | ||||
\(265\) | 1.30331 | + | 1.63430i | 0.0800618 | + | 0.100394i | ||||
\(266\) | −3.83435 | + | 5.57518i | −0.235099 | + | 0.341836i | ||||
\(267\) | −3.14329 | + | 3.94156i | −0.192366 | + | 0.241220i | ||||
\(268\) | 4.19846 | + | 0.632816i | 0.256462 | + | 0.0386554i | ||||
\(269\) | 6.08714 | − | 4.15014i | 0.371140 | − | 0.253039i | −0.363359 | − | 0.931649i | \(-0.618370\pi\) |
0.734498 | + | 0.678611i | \(0.237418\pi\) | |||||||
\(270\) | 1.14883 | − | 0.783258i | 0.0699155 | − | 0.0476675i | ||||
\(271\) | 2.19908 | + | 0.331458i | 0.133585 | + | 0.0201346i | 0.215494 | − | 0.976505i | \(-0.430864\pi\) |
−0.0819096 | + | 0.996640i | \(0.526102\pi\) | |||||||
\(272\) | 7.39149 | − | 9.26864i | 0.448175 | − | 0.561994i | ||||
\(273\) | 1.63823 | + | 1.78004i | 0.0991502 | + | 0.107733i | ||||
\(274\) | −6.38864 | − | 8.01110i | −0.385952 | − | 0.483969i | ||||
\(275\) | −2.91323 | − | 5.04587i | −0.175675 | − | 0.304277i | ||||
\(276\) | 0.0305596 | − | 0.0529307i | 0.00183947 | − | 0.00318605i | ||||
\(277\) | −8.86683 | + | 1.33646i | −0.532756 | + | 0.0803001i | −0.409911 | − | 0.912126i | \(-0.634440\pi\) |
−0.122846 | + | 0.992426i | \(0.539202\pi\) | |||||||
\(278\) | 9.27541 | − | 8.60633i | 0.556302 | − | 0.516173i | ||||
\(279\) | 1.79261 | + | 0.863277i | 0.107321 | + | 0.0516831i | ||||
\(280\) | 0.845693 | − | 1.73801i | 0.0505398 | − | 0.103866i | ||||
\(281\) | 26.8323 | − | 12.9218i | 1.60068 | − | 0.770847i | 0.601083 | − | 0.799187i | \(-0.294736\pi\) |
0.999598 | + | 0.0283393i | \(0.00902188\pi\) | |||||||
\(282\) | 2.56732 | − | 6.54142i | 0.152882 | − | 0.389536i | ||||
\(283\) | −0.870572 | + | 11.6170i | −0.0517501 | + | 0.690558i | 0.909645 | + | 0.415386i | \(0.136354\pi\) |
−0.961395 | + | 0.275171i | \(0.911265\pi\) | |||||||
\(284\) | 3.17243 | + | 0.978566i | 0.188249 | + | 0.0580672i | ||||
\(285\) | 0.0338739 | + | 0.452016i | 0.00200652 | + | 0.0267751i | ||||
\(286\) | −0.323294 | + | 1.41644i | −0.0191168 | + | 0.0837560i | ||||
\(287\) | −11.2827 | + | 12.0612i | −0.665996 | + | 0.711953i | ||||
\(288\) | 1.27868 | + | 5.60228i | 0.0753472 | + | 0.330118i | ||||
\(289\) | 0.797680 | − | 0.246052i | 0.0469224 | − | 0.0144736i | ||||
\(290\) | 0.227619 | + | 0.579965i | 0.0133663 | + | 0.0340567i | ||||
\(291\) | −7.11517 | − | 6.60191i | −0.417099 | − | 0.387011i | ||||
\(292\) | −4.88135 | − | 3.32805i | −0.285659 | − | 0.194759i | ||||
\(293\) | 11.8604 | 0.692891 | 0.346445 | − | 0.938070i | \(-0.387389\pi\) | ||||
0.346445 | + | 0.938070i | \(0.387389\pi\) | |||||||
\(294\) | −5.82638 | + | 5.31869i | −0.339801 | + | 0.310192i | ||||
\(295\) | −0.292494 | −0.0170297 | ||||||||
\(296\) | 8.63521 | + | 5.88738i | 0.501911 | + | 0.342197i | ||||
\(297\) | 4.07994 | + | 3.78563i | 0.236742 | + | 0.219665i | ||||
\(298\) | −7.53694 | − | 19.2038i | −0.436603 | − | 1.11245i | ||||
\(299\) | 0.132844 | − | 0.0409771i | 0.00768260 | − | 0.00236977i | ||||
\(300\) | 0.483561 | + | 2.11862i | 0.0279184 | + | 0.122319i | ||||
\(301\) | 8.97332 | − | 28.6768i | 0.517214 | − | 1.65291i | ||||
\(302\) | −3.11128 | + | 13.6314i | −0.179034 | + | 0.784399i | ||||
\(303\) | −0.735788 | − | 9.81840i | −0.0422699 | − | 0.564053i | ||||
\(304\) | 5.56596 | + | 1.71687i | 0.319230 | + | 0.0984693i | ||||
\(305\) | 0.0638220 | − | 0.851646i | 0.00365444 | − | 0.0487651i | ||||
\(306\) | 4.11514 | − | 10.4852i | 0.235247 | − | 0.599400i | ||||
\(307\) | 2.45831 | − | 1.18386i | 0.140303 | − | 0.0675663i | −0.362415 | − | 0.932017i | \(-0.618048\pi\) |
0.502718 | + | 0.864450i | \(0.332333\pi\) | |||||||
\(308\) | 1.46056 | + | 0.339609i | 0.0832231 | + | 0.0193510i | ||||
\(309\) | −4.64418 | − | 2.23652i | −0.264198 | − | 0.127231i | ||||
\(310\) | −0.198480 | + | 0.184162i | −0.0112729 | + | 0.0104597i | ||||
\(311\) | 13.5538 | − | 2.04290i | 0.768564 | − | 0.115842i | 0.246955 | − | 0.969027i | \(-0.420570\pi\) |
0.521609 | + | 0.853185i | \(0.325332\pi\) | |||||||
\(312\) | 1.39793 | − | 2.42128i | 0.0791421 | − | 0.137078i | ||||
\(313\) | −10.9634 | − | 18.9892i | −0.619690 | − | 1.07333i | −0.989542 | − | 0.144244i | \(-0.953925\pi\) |
0.369852 | − | 0.929091i | \(-0.379408\pi\) | |||||||
\(314\) | 11.5178 | + | 14.4428i | 0.649985 | + | 0.815056i | ||||
\(315\) | 0.209361 | − | 1.35175i | 0.0117962 | − | 0.0761626i | ||||
\(316\) | −3.87282 | + | 4.85636i | −0.217863 | + | 0.273192i | ||||
\(317\) | 8.41416 | + | 1.26823i | 0.472586 | + | 0.0712309i | 0.381017 | − | 0.924568i | \(-0.375574\pi\) |
0.0915688 | + | 0.995799i | \(0.470812\pi\) | |||||||
\(318\) | −8.14698 | + | 5.55452i | −0.456860 | + | 0.311482i | ||||
\(319\) | −2.06057 | + | 1.40487i | −0.115369 | + | 0.0786576i | ||||
\(320\) | −2.09963 | − | 0.316468i | −0.117373 | − | 0.0176911i | ||||
\(321\) | −7.72840 | + | 9.69111i | −0.431357 | + | 0.540905i | ||||
\(322\) | 0.131867 | + | 0.433748i | 0.00734866 | + | 0.0241718i | ||||
\(323\) | 5.46349 | + | 6.85100i | 0.303997 | + | 0.381200i | ||||
\(324\) | 0.522785 | + | 0.905490i | 0.0290436 | + | 0.0503050i | ||||
\(325\) | −2.47146 | + | 4.28069i | −0.137092 | + | 0.237450i | ||||
\(326\) | 26.9452 | − | 4.06134i | 1.49236 | − | 0.224937i | ||||
\(327\) | −7.21090 | + | 6.69074i | −0.398764 | + | 0.369999i | ||||
\(328\) | 17.1973 | + | 8.28180i | 0.949564 | + | 0.457286i | ||||
\(329\) | −7.09746 | − | 14.8924i | −0.391295 | − | 0.821045i | ||||
\(330\) | −0.285956 | + | 0.137709i | −0.0157413 | + | 0.00758063i | ||||
\(331\) | 2.87313 | − | 7.32061i | 0.157921 | − | 0.402377i | −0.829912 | − | 0.557895i | \(-0.811609\pi\) |
0.987833 | + | 0.155517i | \(0.0497045\pi\) | |||||||
\(332\) | −0.498407 | + | 6.65078i | −0.0273537 | + | 0.365009i | ||||
\(333\) | 7.06772 | + | 2.18010i | 0.387308 | + | 0.119469i | ||||
\(334\) | 0.301502 | + | 4.02326i | 0.0164974 | + | 0.220143i | ||||
\(335\) | −0.469466 | + | 2.05687i | −0.0256497 | + | 0.112379i | ||||
\(336\) | 5.86734 | + | 3.41935i | 0.320089 | + | 0.186541i | ||||
\(337\) | −0.971168 | − | 4.25496i | −0.0529029 | − | 0.231783i | 0.941564 | − | 0.336834i | \(-0.109356\pi\) |
−0.994467 | + | 0.105052i | \(0.966499\pi\) | |||||||
\(338\) | 1.17779 | − | 0.363301i | 0.0640634 | − | 0.0197609i | ||||
\(339\) | −2.61932 | − | 6.67393i | −0.142262 | − | 0.362478i | ||||
\(340\) | −0.355630 | − | 0.329976i | −0.0192867 | − | 0.0178955i | ||||
\(341\) | −0.895481 | − | 0.610529i | −0.0484930 | − | 0.0330620i | ||||
\(342\) | 5.53426 | 0.299259 | ||||||||
\(343\) | −0.225613 | + | 18.5189i | −0.0121820 | + | 0.999926i | ||||
\(344\) | −34.7269 | −1.87235 | ||||||||
\(345\) | 0.0250927 | + | 0.0171079i | 0.00135095 | + | 0.000921060i | ||||
\(346\) | −4.13226 | − | 3.83417i | −0.222152 | − | 0.206127i | ||||
\(347\) | −3.14785 | − | 8.02059i | −0.168985 | − | 0.430568i | 0.821145 | − | 0.570720i | \(-0.193336\pi\) |
−0.990130 | + | 0.140153i | \(0.955241\pi\) | |||||||
\(348\) | 0.888833 | − | 0.274169i | 0.0476464 | − | 0.0146970i | ||||
\(349\) | −4.06329 | − | 17.8024i | −0.217503 | − | 0.952943i | −0.959316 | − | 0.282336i | \(-0.908891\pi\) |
0.741813 | − | 0.670607i | \(-0.233966\pi\) | |||||||
\(350\) | −13.9266 | − | 8.11610i | −0.744408 | − | 0.433824i | ||||
\(351\) | 1.05067 | − | 4.60331i | 0.0560809 | − | 0.245706i | ||||
\(352\) | −0.233917 | − | 3.12141i | −0.0124678 | − | 0.166371i | ||||
\(353\) | 29.5163 | + | 9.10458i | 1.57099 | + | 0.484588i | 0.953349 | − | 0.301869i | \(-0.0976105\pi\) |
0.617645 | + | 0.786457i | \(0.288087\pi\) | |||||||
\(354\) | 0.103106 | − | 1.37586i | 0.00548004 | − | 0.0731260i | ||||
\(355\) | −0.602687 | + | 1.53562i | −0.0319873 | + | 0.0815024i | ||||
\(356\) | 2.38854 | − | 1.15026i | 0.126592 | − | 0.0609637i | ||||
\(357\) | 4.39532 | + | 9.22258i | 0.232625 | + | 0.488111i | ||||
\(358\) | −15.7100 | − | 7.56553i | −0.830298 | − | 0.399850i | ||||
\(359\) | −10.9347 | + | 10.1459i | −0.577112 | + | 0.535481i | −0.913816 | − | 0.406129i | \(-0.866878\pi\) |
0.336704 | + | 0.941611i | \(0.390688\pi\) | |||||||
\(360\) | −1.56321 | + | 0.235616i | −0.0823884 | + | 0.0124180i | ||||
\(361\) | 7.34730 | − | 12.7259i | 0.386700 | − | 0.669784i | ||||
\(362\) | 3.93251 | + | 6.81130i | 0.206688 | + | 0.357994i | ||||
\(363\) | 5.47889 | + | 6.87031i | 0.287567 | + | 0.360598i | ||||
\(364\) | −0.370027 | − | 1.21712i | −0.0193947 | − | 0.0637947i | ||||
\(365\) | 1.83033 | − | 2.29516i | 0.0958037 | − | 0.120134i | ||||
\(366\) | 3.98354 | + | 0.600422i | 0.208223 | + | 0.0313846i | ||||
\(367\) | 11.6720 | − | 7.95785i | 0.609275 | − | 0.415396i | −0.218995 | − | 0.975726i | \(-0.570278\pi\) |
0.828270 | + | 0.560330i | \(0.189326\pi\) | |||||||
\(368\) | 0.322444 | − | 0.219839i | 0.0168086 | − | 0.0114599i | ||||
\(369\) | 13.3574 | + | 2.01330i | 0.695357 | + | 0.104808i | ||||
\(370\) | −0.627550 | + | 0.786923i | −0.0326248 | + | 0.0409102i | ||||
\(371\) | −3.54301 | + | 22.8756i | −0.183944 | + | 1.18764i | ||||
\(372\) | 0.252032 | + | 0.316038i | 0.0130673 | + | 0.0163858i | ||||
\(373\) | 3.46731 | + | 6.00555i | 0.179530 | + | 0.310956i | 0.941720 | − | 0.336398i | \(-0.109209\pi\) |
−0.762189 | + | 0.647354i | \(0.775876\pi\) | |||||||
\(374\) | −3.06782 | + | 5.31363i | −0.158633 | + | 0.274761i | ||||
\(375\) | −2.14782 | + | 0.323732i | −0.110913 | + | 0.0167175i | ||||
\(376\) | −13.9764 | + | 12.9682i | −0.720779 | + | 0.668785i | ||||
\(377\) | 1.90620 | + | 0.917978i | 0.0981743 | + | 0.0472783i | ||||
\(378\) | 14.9974 | + | 3.48720i | 0.771385 | + | 0.179362i | ||||
\(379\) | −5.01970 | + | 2.41736i | −0.257844 | + | 0.124171i | −0.558341 | − | 0.829612i | \(-0.688562\pi\) |
0.300497 | + | 0.953783i | \(0.402848\pi\) | |||||||
\(380\) | 0.0870833 | − | 0.221885i | 0.00446728 | − | 0.0113824i | ||||
\(381\) | 0.0478897 | − | 0.639043i | 0.00245346 | − | 0.0327392i | ||||
\(382\) | −29.5722 | − | 9.12181i | −1.51304 | − | 0.466712i | ||||
\(383\) | 1.85291 | + | 24.7254i | 0.0946794 | + | 1.26341i | 0.818938 | + | 0.573881i | \(0.194563\pi\) |
−0.724259 | + | 0.689528i | \(0.757818\pi\) | |||||||
\(384\) | 1.14817 | − | 5.03048i | 0.0585925 | − | 0.256711i | ||||
\(385\) | −0.222513 | + | 0.711106i | −0.0113403 | + | 0.0362413i | ||||
\(386\) | 5.09259 | + | 22.3121i | 0.259206 | + | 1.13566i | ||||
\(387\) | −23.4843 | + | 7.24396i | −1.19378 | + | 0.368231i | ||||
\(388\) | 1.86473 | + | 4.75126i | 0.0946673 | + | 0.241208i | ||||
\(389\) | 15.1018 | + | 14.0124i | 0.765692 | + | 0.710458i | 0.962887 | − | 0.269906i | \(-0.0869927\pi\) |
−0.197195 | + | 0.980364i | \(0.563183\pi\) | |||||||
\(390\) | 0.222471 | + | 0.151678i | 0.0112652 | + | 0.00768051i | ||||
\(391\) | 0.587102 | 0.0296910 | ||||||||
\(392\) | 20.5038 | − | 6.14267i | 1.03560 | − | 0.310251i | ||||
\(393\) | 16.4671 | 0.830654 | ||||||||
\(394\) | −9.69242 | − | 6.60818i | −0.488297 | − | 0.332915i | ||||
\(395\) | −2.26255 | − | 2.09934i | −0.113841 | − | 0.105629i | ||||
\(396\) | −0.448075 | − | 1.14168i | −0.0225166 | − | 0.0573714i | ||||
\(397\) | 23.8475 | − | 7.35597i | 1.19687 | − | 0.369185i | 0.368639 | − | 0.929573i | \(-0.379824\pi\) |
0.828231 | + | 0.560387i | \(0.189348\pi\) | |||||||
\(398\) | 5.91329 | + | 25.9078i | 0.296407 | + | 1.29864i | ||||
\(399\) | −3.42913 | + | 3.66575i | −0.171671 | + | 0.183517i | ||||
\(400\) | −3.08762 | + | 13.5277i | −0.154381 | + | 0.676387i | ||||
\(401\) | −0.968438 | − | 12.9229i | −0.0483615 | − | 0.645339i | −0.967738 | − | 0.251960i | \(-0.918925\pi\) |
0.919376 | − | 0.393379i | \(-0.128694\pi\) | |||||||
\(402\) | −9.50976 | − | 2.93337i | −0.474304 | − | 0.146303i | ||||
\(403\) | −0.0687107 | + | 0.916881i | −0.00342273 | + | 0.0456731i | ||||
\(404\) | −1.89157 | + | 4.81964i | −0.0941091 | + | 0.239786i | ||||
\(405\) | −0.468089 | + | 0.225420i | −0.0232595 | + | 0.0112012i | ||||
\(406\) | −3.01876 | + | 6.20395i | −0.149819 | + | 0.307897i | ||||
\(407\) | −3.62994 | − | 1.74809i | −0.179929 | − | 0.0866494i | ||||
\(408\) | 8.65533 | − | 8.03097i | 0.428502 | − | 0.397592i | ||||
\(409\) | 5.81197 | − | 0.876013i | 0.287383 | − | 0.0433161i | −0.00376864 | − | 0.999993i | \(-0.501200\pi\) |
0.291152 | + | 0.956677i | \(0.405962\pi\) | |||||||
\(410\) | −0.919122 | + | 1.59197i | −0.0453922 | + | 0.0786216i | ||||
\(411\) | −3.80067 | − | 6.58295i | −0.187473 | − | 0.324713i | ||||
\(412\) | 1.69004 | + | 2.11924i | 0.0832621 | + | 0.104407i | ||||
\(413\) | −2.19346 | − | 2.38333i | −0.107933 | − | 0.117276i | ||||
\(414\) | 0.231186 | − | 0.289898i | 0.0113622 | − | 0.0142477i | ||||
\(415\) | −3.27700 | − | 0.493928i | −0.160861 | − | 0.0242460i | ||||
\(416\) | −2.19407 | + | 1.49589i | −0.107573 | + | 0.0733420i | ||||
\(417\) | 7.75559 | − | 5.28767i | 0.379793 | − | 0.258938i | ||||
\(418\) | −2.98096 | − | 0.449307i | −0.145803 | − | 0.0219763i | ||||
\(419\) | 7.52921 | − | 9.44133i | 0.367826 | − | 0.461239i | −0.563131 | − | 0.826367i | \(-0.690403\pi\) |
0.930957 | + | 0.365128i | \(0.118975\pi\) | |||||||
\(420\) | 0.157480 | − | 0.228977i | 0.00768422 | − | 0.0111729i | ||||
\(421\) | 8.95349 | + | 11.2273i | 0.436366 | + | 0.547186i | 0.950581 | − | 0.310475i | \(-0.100488\pi\) |
−0.514215 | + | 0.857661i | \(0.671917\pi\) | |||||||
\(422\) | −6.83822 | − | 11.8441i | −0.332879 | − | 0.576564i | ||||
\(423\) | −6.74651 | + | 11.6853i | −0.328027 | + | 0.568159i | ||||
\(424\) | 26.4541 | − | 3.98732i | 1.28473 | − | 0.193641i | ||||
\(425\) | −15.3021 | + | 14.1983i | −0.742262 | + | 0.688719i | ||||
\(426\) | −7.01093 | − | 3.37629i | −0.339681 | − | 0.163582i | ||||
\(427\) | 7.41806 | − | 5.86659i | 0.358985 | − | 0.283904i | ||||
\(428\) | 5.87269 | − | 2.82814i | 0.283867 | − | 0.136703i | ||||
\(429\) | −0.393764 | + | 1.00329i | −0.0190111 | + | 0.0484394i | ||||
\(430\) | 0.249927 | − | 3.33505i | 0.0120526 | − | 0.160830i | ||||
\(431\) | 12.5012 | + | 3.85612i | 0.602164 | + | 0.185743i | 0.580824 | − | 0.814029i | \(-0.302731\pi\) |
0.0213401 | + | 0.999772i | \(0.493207\pi\) | |||||||
\(432\) | −0.990518 | − | 13.2175i | −0.0476563 | − | 0.635929i | ||||
\(433\) | 2.48537 | − | 10.8891i | 0.119439 | − | 0.523297i | −0.879442 | − | 0.476006i | \(-0.842084\pi\) |
0.998881 | − | 0.0472909i | \(-0.0150588\pi\) | |||||||
\(434\) | −2.98903 | − | 0.236207i | −0.143478 | − | 0.0113383i | ||||
\(435\) | 0.102847 | + | 0.450603i | 0.00493114 | + | 0.0216047i | ||||
\(436\) | 4.94294 | − | 1.52470i | 0.236724 | − | 0.0730197i | ||||
\(437\) | 0.105387 | + | 0.268521i | 0.00504132 | + | 0.0128451i | ||||
\(438\) | 10.1510 | + | 9.41871i | 0.485031 | + | 0.450043i | ||||
\(439\) | −22.8505 | − | 15.5792i | −1.09059 | − | 0.743554i | −0.122081 | − | 0.992520i | \(-0.538957\pi\) |
−0.968512 | + | 0.248966i | \(0.919909\pi\) | |||||||
\(440\) | 0.861131 | 0.0410528 | ||||||||
\(441\) | 12.5845 | − | 8.43106i | 0.599261 | − | 0.401479i | ||||
\(442\) | 5.20521 | 0.247587 | ||||||||
\(443\) | −12.6756 | − | 8.64208i | −0.602236 | − | 0.410598i | 0.223460 | − | 0.974713i | \(-0.428265\pi\) |
−0.825696 | + | 0.564115i | \(0.809217\pi\) | |||||||
\(444\) | 1.10154 | + | 1.02208i | 0.0522767 | + | 0.0485057i | ||||
\(445\) | 0.481267 | + | 1.22625i | 0.0228142 | + | 0.0581298i | ||||
\(446\) | 15.5456 | − | 4.79519i | 0.736106 | − | 0.227059i | ||||
\(447\) | −3.40548 | − | 14.9204i | −0.161073 | − | 0.705709i | ||||
\(448\) | −13.1668 | − | 19.4816i | −0.622072 | − | 0.920420i | ||||
\(449\) | −1.49461 | + | 6.54831i | −0.0705349 | + | 0.309034i | −0.997873 | − | 0.0651915i | \(-0.979234\pi\) |
0.927338 | + | 0.374225i | \(0.122091\pi\) | |||||||
\(450\) | 0.985216 | + | 13.1468i | 0.0464435 | + | 0.619746i | ||||
\(451\) | −7.03132 | − | 2.16888i | −0.331092 | − | 0.102128i | ||||
\(452\) | −0.281743 | + | 3.75960i | −0.0132521 | + | 0.176837i | ||||
\(453\) | −3.78946 | + | 9.65538i | −0.178044 | + | 0.453649i | ||||
\(454\) | −20.1097 | + | 9.68430i | −0.943793 | + | 0.454507i | ||||
\(455\) | 0.616833 | − | 0.138155i | 0.0289176 | − | 0.00647682i | ||||
\(456\) | 5.22675 | + | 2.51707i | 0.244765 | + | 0.117873i | ||||
\(457\) | 11.5055 | − | 10.6755i | 0.538203 | − | 0.499379i | −0.363583 | − | 0.931562i | \(-0.618447\pi\) |
0.901786 | + | 0.432182i | \(0.142256\pi\) | |||||||
\(458\) | 24.1921 | − | 3.64638i | 1.13042 | − | 0.170384i | ||||
\(459\) | 9.97014 | − | 17.2688i | 0.465366 | − | 0.806038i | ||||
\(460\) | −0.00798508 | − | 0.0138306i | −0.000372306 | − | 0.000644854i | ||||
\(461\) | −14.2253 | − | 17.8380i | −0.662539 | − | 0.830798i | 0.331078 | − | 0.943603i | \(-0.392588\pi\) |
−0.993617 | + | 0.112805i | \(0.964016\pi\) | |||||||
\(462\) | −3.26652 | − | 1.29735i | −0.151972 | − | 0.0603580i | ||||
\(463\) | 10.0609 | − | 12.6160i | 0.467570 | − | 0.586315i | −0.491004 | − | 0.871157i | \(-0.663370\pi\) |
0.958574 | + | 0.284843i | \(0.0919414\pi\) | |||||||
\(464\) | 5.87286 | + | 0.885192i | 0.272641 | + | 0.0410940i | ||||
\(465\) | −0.165958 | + | 0.113148i | −0.00769610 | + | 0.00524711i | ||||
\(466\) | −8.68199 | + | 5.91928i | −0.402186 | + | 0.274205i | ||||
\(467\) | −14.5923 | − | 2.19944i | −0.675253 | − | 0.101778i | −0.197541 | − | 0.980295i | \(-0.563296\pi\) |
−0.477712 | + | 0.878517i | \(0.658534\pi\) | |||||||
\(468\) | −0.648723 | + | 0.813473i | −0.0299873 | + | 0.0376028i | ||||
\(469\) | −20.2805 | + | 11.5994i | −0.936467 | + | 0.535611i | ||||
\(470\) | −1.14483 | − | 1.43558i | −0.0528073 | − | 0.0662182i | ||||
\(471\) | 6.85203 | + | 11.8681i | 0.315725 | + | 0.546852i | ||||
\(472\) | −1.87172 | + | 3.24191i | −0.0861527 | + | 0.149221i | ||||
\(473\) | 13.2376 | − | 1.99525i | 0.608667 | − | 0.0917418i | ||||
\(474\) | 10.6726 | − | 9.90273i | 0.490209 | − | 0.454847i | ||||
\(475\) | −9.24060 | − | 4.45004i | −0.423988 | − | 0.204182i | ||||
\(476\) | 0.0218158 | − | 5.37231i | 0.000999925 | − | 0.246240i | ||||
\(477\) | 17.0580 | − | 8.21472i | 0.781034 | − | 0.376126i | ||||
\(478\) | −5.78926 | + | 14.7508i | −0.264795 | + | 0.674685i | ||||
\(479\) | 1.80796 | − | 24.1256i | 0.0826079 | − | 1.10233i | −0.789741 | − | 0.613441i | \(-0.789785\pi\) |
0.872348 | − | 0.488885i | \(-0.162596\pi\) | |||||||
\(480\) | −0.554333 | − | 0.170989i | −0.0253017 | − | 0.00780455i | ||||
\(481\) | 0.255425 | + | 3.40841i | 0.0116464 | + | 0.155410i | ||||
\(482\) | −6.84003 | + | 29.9681i | −0.311555 | + | 1.36501i | ||||
\(483\) | 0.0487740 | + | 0.332758i | 0.00221930 | + | 0.0151410i | ||||
\(484\) | −1.02826 | − | 4.50508i | −0.0467389 | − | 0.204777i | ||||
\(485\) | −2.42352 | + | 0.747557i | −0.110046 | + | 0.0339448i | ||||
\(486\) | −7.27389 | − | 18.5336i | −0.329950 | − | 0.840700i | ||||
\(487\) | −14.5409 | − | 13.4920i | −0.658912 | − | 0.611381i | 0.278153 | − | 0.960537i | \(-0.410278\pi\) |
−0.937065 | + | 0.349156i | \(0.886468\pi\) | |||||||
\(488\) | −9.03094 | − | 6.15719i | −0.408812 | − | 0.278723i | ||||
\(489\) | 20.2148 | 0.914147 | ||||||||
\(490\) | 0.442355 | + | 2.01332i | 0.0199836 | + | 0.0909525i | ||||
\(491\) | 17.0305 | 0.768577 | 0.384288 | − | 0.923213i | \(-0.374447\pi\) | ||||
0.384288 | + | 0.923213i | \(0.374447\pi\) | |||||||
\(492\) | 2.26754 | + | 1.54598i | 0.102228 | + | 0.0696982i | ||||
\(493\) | 6.54979 | + | 6.07732i | 0.294988 | + | 0.273709i | ||||
\(494\) | 0.934351 | + | 2.38069i | 0.0420384 | + | 0.107112i | ||||
\(495\) | 0.582346 | − | 0.179630i | 0.0261745 | − | 0.00807377i | ||||
\(496\) | 0.574340 | + | 2.51635i | 0.0257886 | + | 0.112987i | ||||
\(497\) | −17.0323 | + | 6.60501i | −0.764005 | + | 0.296275i | ||||
\(498\) | 3.47854 | − | 15.2405i | 0.155877 | − | 0.682943i | ||||
\(499\) | −1.21550 | − | 16.2197i | −0.0544133 | − | 0.726096i | −0.955976 | − | 0.293446i | \(-0.905198\pi\) |
0.901562 | − | 0.432649i | \(-0.142421\pi\) | |||||||
\(500\) | 1.09146 | + | 0.336670i | 0.0488115 | + | 0.0150564i | ||||
\(501\) | −0.223666 | + | 2.98462i | −0.00999267 | + | 0.133343i | ||||
\(502\) | 0.830551 | − | 2.11621i | 0.0370693 | − | 0.0944511i | ||||
\(503\) | 19.8867 | − | 9.57692i | 0.886703 | − | 0.427014i | 0.0656347 | − | 0.997844i | \(-0.479093\pi\) |
0.821068 | + | 0.570830i | \(0.193378\pi\) | |||||||
\(504\) | −13.6426 | − | 10.9706i | −0.607691 | − | 0.488667i | ||||
\(505\) | −2.31792 | − | 1.11625i | −0.103146 | − | 0.0496726i | ||||
\(506\) | −0.148061 | + | 0.137381i | −0.00658212 | + | 0.00610732i | ||||
\(507\) | 0.904143 | − | 0.136278i | 0.0401544 | − | 0.00605230i | ||||
\(508\) | −0.168494 | + | 0.291839i | −0.00747569 | + | 0.0129483i | ||||
\(509\) | 17.0539 | + | 29.5382i | 0.755900 | + | 1.30926i | 0.944926 | + | 0.327285i | \(0.106134\pi\) |
−0.189026 | + | 0.981972i | \(0.560533\pi\) | |||||||
\(510\) | 0.708974 | + | 0.889025i | 0.0313939 | + | 0.0393667i | ||||
\(511\) | 32.4275 | − | 2.29773i | 1.43451 | − | 0.101645i | ||||
\(512\) | −15.3513 | + | 19.2499i | −0.678439 | + | 0.850735i | ||||
\(513\) | 9.68783 | + | 1.46021i | 0.427728 | + | 0.0644696i | ||||
\(514\) | −20.0264 | + | 13.6538i | −0.883328 | + | 0.602243i | ||||
\(515\) | −1.11285 | + | 0.758730i | −0.0490381 | + | 0.0334336i | ||||
\(516\) | −4.93726 | − | 0.744172i | −0.217351 | − | 0.0327603i | ||||
\(517\) | 4.58261 | − | 5.74641i | 0.201543 | − | 0.252727i | ||||
\(518\) | −11.1182 | + | 0.787804i | −0.488505 | + | 0.0346141i | ||||
\(519\) | −2.60731 | − | 3.26946i | −0.114448 | − | 0.143513i | ||||
\(520\) | −0.365273 | − | 0.632671i | −0.0160183 | − | 0.0277445i | ||||
\(521\) | −18.1829 | + | 31.4937i | −0.796608 | + | 1.37976i | 0.125206 | + | 0.992131i | \(0.460041\pi\) |
−0.921813 | + | 0.387634i | \(0.873292\pi\) | |||||||
\(522\) | 5.57999 | − | 0.841048i | 0.244230 | − | 0.0368117i | ||||
\(523\) | −0.431802 | + | 0.400653i | −0.0188814 | + | 0.0175193i | −0.689557 | − | 0.724231i | \(-0.742195\pi\) |
0.670676 | + | 0.741751i | \(0.266004\pi\) | |||||||
\(524\) | −7.80178 | − | 3.75714i | −0.340822 | − | 0.164131i | ||||
\(525\) | −9.31855 | − | 7.49341i | −0.406695 | − | 0.327039i | ||||
\(526\) | −7.25795 | + | 3.49525i | −0.316462 | + | 0.152400i | ||||
\(527\) | −1.41860 | + | 3.61454i | −0.0617954 | + | 0.157452i | ||||
\(528\) | −0.226101 | + | 3.01710i | −0.00983977 | + | 0.131303i | ||||
\(529\) | −21.9597 | − | 6.77367i | −0.954770 | − | 0.294507i | ||||
\(530\) | 0.192539 | + | 2.56926i | 0.00836337 | + | 0.111601i | ||||
\(531\) | −0.589507 | + | 2.58280i | −0.0255824 | + | 0.112084i | ||||
\(532\) | 2.46103 | − | 0.954369i | 0.106699 | − | 0.0413771i | ||||
\(533\) | 1.38906 | + | 6.08589i | 0.0601670 | + | 0.263609i | ||||
\(534\) | −5.93778 | + | 1.83156i | −0.256953 | + | 0.0792594i | ||||
\(535\) | 1.18329 | + | 3.01497i | 0.0511581 | + | 0.130349i | ||||
\(536\) | 19.7934 | + | 18.3656i | 0.854945 | + | 0.793273i | ||||
\(537\) | −10.6876 | − | 7.28671i | −0.461206 | − | 0.314445i | ||||
\(538\) | 9.08056 | 0.391491 | ||||||||
\(539\) | −7.46295 | + | 3.51959i | −0.321452 | + | 0.151600i | ||||
\(540\) | −0.542409 | −0.0233416 | ||||||||
\(541\) | −22.7428 | − | 15.5058i | −0.977789 | − | 0.666645i | −0.0347739 | − | 0.999395i | \(-0.511071\pi\) |
−0.943015 | + | 0.332750i | \(0.892023\pi\) | |||||||
\(542\) | 2.00936 | + | 1.86442i | 0.0863095 | + | 0.0800835i | ||||
\(543\) | 2.13161 | + | 5.43126i | 0.0914763 | + | 0.233078i | ||||
\(544\) | −10.7162 | + | 3.30552i | −0.459454 | + | 0.141723i | ||||
\(545\) | 0.571950 | + | 2.50588i | 0.0244996 | + | 0.107340i | ||||
\(546\) | 0.432428 | + | 2.95021i | 0.0185062 | + | 0.126257i | ||||
\(547\) | 3.76752 | − | 16.5066i | 0.161087 | − | 0.705770i | −0.828278 | − | 0.560318i | \(-0.810679\pi\) |
0.989365 | − | 0.145453i | \(-0.0464638\pi\) | |||||||
\(548\) | 0.298712 | + | 3.98603i | 0.0127603 | + | 0.170275i | ||||
\(549\) | −7.39162 | − | 2.28001i | −0.315467 | − | 0.0973085i | ||||
\(550\) | 0.536668 | − | 7.16133i | 0.0228836 | − | 0.305360i | ||||
\(551\) | −1.60385 | + | 4.08655i | −0.0683264 | + | 0.174093i | ||||
\(552\) | 0.350191 | − | 0.168643i | 0.0149051 | − | 0.00717792i | ||||
\(553\) | 0.138794 | − | 34.1791i | 0.00590212 | − | 1.45345i | ||||
\(554\) | −9.95774 | − | 4.79540i | −0.423064 | − | 0.203737i | ||||
\(555\) | −0.547349 | + | 0.507866i | −0.0232337 | + | 0.0215577i | ||||
\(556\) | −4.88088 | + | 0.735674i | −0.206995 | + | 0.0311995i | ||||
\(557\) | 10.9018 | − | 18.8825i | 0.461926 | − | 0.800079i | −0.537131 | − | 0.843499i | \(-0.680492\pi\) |
0.999057 | + | 0.0434200i | \(0.0138254\pi\) | |||||||
\(558\) | 1.22617 | + | 2.12379i | 0.0519080 | + | 0.0899074i | ||||
\(559\) | −7.08102 | − | 8.87932i | −0.299495 | − | 0.375555i | ||||
\(560\) | 1.54032 | − | 0.880981i | 0.0650902 | − | 0.0372282i | ||||
\(561\) | −2.83792 | + | 3.55864i | −0.119817 | + | 0.150246i | ||||
\(562\) | 36.2973 | + | 5.47094i | 1.53111 | + | 0.230778i | ||||
\(563\) | −18.7184 | + | 12.7620i | −0.788886 | + | 0.537854i | −0.889426 | − | 0.457079i | \(-0.848896\pi\) |
0.100539 | + | 0.994933i | \(0.467943\pi\) | |||||||
\(564\) | −2.26498 | + | 1.54424i | −0.0953729 | + | 0.0650241i | ||||
\(565\) | −1.85244 | − | 0.279211i | −0.0779329 | − | 0.0117465i | ||||
\(566\) | −8.95248 | + | 11.2261i | −0.376301 | + | 0.471866i | ||||
\(567\) | −5.34705 | − | 2.12366i | −0.224555 | − | 0.0891854i | ||||
\(568\) | 13.1636 | + | 16.5067i | 0.552334 | + | 0.692604i | ||||
\(569\) | −13.2657 | − | 22.9769i | −0.556127 | − | 0.963241i | −0.997815 | − | 0.0660719i | \(-0.978953\pi\) |
0.441688 | − | 0.897169i | \(-0.354380\pi\) | |||||||
\(570\) | −0.279347 | + | 0.483843i | −0.0117006 | + | 0.0202660i | ||||
\(571\) | −15.7172 | + | 2.36899i | −0.657745 | + | 0.0991391i | −0.469430 | − | 0.882970i | \(-0.655541\pi\) |
−0.188315 | + | 0.982109i | \(0.560303\pi\) | |||||||
\(572\) | 0.415469 | − | 0.385499i | 0.0173716 | − | 0.0161185i | ||||
\(573\) | −20.6842 | − | 9.96101i | −0.864097 | − | 0.416127i | ||||
\(574\) | −19.8644 | + | 4.44914i | −0.829126 | + | 0.185703i | ||||
\(575\) | −0.619117 | + | 0.298151i | −0.0258190 | + | 0.0124338i | ||||
\(576\) | −7.02619 | + | 17.9024i | −0.292758 | + | 0.745935i | ||||
\(577\) | −0.191934 | + | 2.56118i | −0.00799032 | + | 0.106623i | −0.999773 | − | 0.0213115i | \(-0.993216\pi\) |
0.991783 | + | 0.127935i | \(0.0408349\pi\) | |||||||
\(578\) | 0.983181 | + | 0.303271i | 0.0408950 | + | 0.0126144i | ||||
\(579\) | 1.26874 | + | 16.9302i | 0.0527272 | + | 0.703595i | ||||
\(580\) | 0.0540828 | − | 0.236952i | 0.00224567 | − | 0.00983891i | ||||
\(581\) | −20.5500 | − | 30.4059i | −0.852560 | − | 1.26145i | ||||
\(582\) | −2.66211 | − | 11.6635i | −0.110348 | − | 0.483466i | ||||
\(583\) | −9.85501 | + | 3.03987i | −0.408153 | + | 0.125899i | ||||
\(584\) | −13.7262 | − | 34.9738i | −0.567994 | − | 1.44723i | ||||
\(585\) | −0.378992 | − | 0.351653i | −0.0156694 | − | 0.0145391i | ||||
\(586\) | 12.0784 | + | 8.23490i | 0.498953 | + | 0.340181i | ||||
\(587\) | −28.3611 | −1.17059 | −0.585294 | − | 0.810821i | \(-0.699021\pi\) | ||||
−0.585294 | + | 0.810821i | \(0.699021\pi\) | |||||||
\(588\) | 3.04673 | − | 0.433945i | 0.125645 | − | 0.0178956i | ||||
\(589\) | −1.90781 | −0.0786101 | ||||||||
\(590\) | −0.297871 | − | 0.203085i | −0.0122631 | − | 0.00836086i | ||||
\(591\) | −6.37928 | − | 5.91911i | −0.262409 | − | 0.243480i | ||||
\(592\) | 3.50538 | + | 8.93156i | 0.144070 | + | 0.367085i | ||||
\(593\) | −19.7698 | + | 6.09817i | −0.811848 | + | 0.250422i | −0.672762 | − | 0.739859i | \(-0.734892\pi\) |
−0.139085 | + | 0.990280i | \(0.544416\pi\) | |||||||
\(594\) | 1.52649 | + | 6.68800i | 0.0626328 | + | 0.274412i | ||||
\(595\) | 2.66120 | + | 0.210300i | 0.109099 | + | 0.00862147i | ||||
\(596\) | −1.79079 | + | 7.84597i | −0.0733537 | + | 0.321383i | ||||
\(597\) | 1.47321 | + | 19.6586i | 0.0602945 | + | 0.804574i | ||||
\(598\) | 0.163738 | + | 0.0505063i | 0.00669573 | + | 0.00206536i | ||||
\(599\) | 0.146665 | − | 1.95710i | 0.00599256 | − | 0.0799651i | −0.993406 | − | 0.114653i | \(-0.963425\pi\) |
0.999398 | + | 0.0346875i | \(0.0110436\pi\) | |||||||
\(600\) | −5.04890 | + | 12.8644i | −0.206121 | + | 0.525187i | ||||
\(601\) | 30.2092 | − | 14.5480i | 1.23226 | − | 0.593424i | 0.299558 | − | 0.954078i | \(-0.403161\pi\) |
0.932700 | + | 0.360654i | \(0.117446\pi\) | |||||||
\(602\) | 29.0492 | − | 22.9736i | 1.18396 | − | 0.936333i | ||||
\(603\) | 17.2165 | + | 8.29101i | 0.701108 | + | 0.337636i | ||||
\(604\) | 3.99834 | − | 3.70992i | 0.162690 | − | 0.150955i | ||||
\(605\) | 2.27048 | − | 0.342220i | 0.0923081 | − | 0.0139132i | ||||
\(606\) | 6.06781 | − | 10.5097i | 0.246488 | − | 0.426929i | ||||
\(607\) | −12.6992 | − | 21.9956i | −0.515443 | − | 0.892774i | −0.999839 | − | 0.0179251i | \(-0.994294\pi\) |
0.484396 | − | 0.874849i | \(-0.339039\pi\) | |||||||
\(608\) | −3.43543 | − | 4.30789i | −0.139325 | − | 0.174708i | ||||
\(609\) | −2.90037 | + | 4.21717i | −0.117529 | + | 0.170888i | ||||
\(610\) | 0.656310 | − | 0.822987i | 0.0265732 | − | 0.0333218i | ||||
\(611\) | −6.16572 | − | 0.929332i | −0.249438 | − | 0.0375968i | ||||
\(612\) | −3.63053 | + | 2.47525i | −0.146755 | + | 0.100056i | ||||
\(613\) | 16.2268 | − | 11.0633i | 0.655395 | − | 0.446841i | −0.189422 | − | 0.981896i | \(-0.560661\pi\) |
0.844817 | + | 0.535055i | \(0.179709\pi\) | |||||||
\(614\) | 3.32547 | + | 0.501234i | 0.134205 | + | 0.0202281i | ||||
\(615\) | −0.850243 | + | 1.06617i | −0.0342851 | + | 0.0429922i | ||||
\(616\) | 6.45776 | + | 7.01674i | 0.260190 | + | 0.282712i | ||||
\(617\) | 8.00173 | + | 10.0339i | 0.322138 | + | 0.403948i | 0.916361 | − | 0.400352i | \(-0.131112\pi\) |
−0.594224 | + | 0.804300i | \(0.702541\pi\) | |||||||
\(618\) | −3.17669 | − | 5.50218i | −0.127785 | − | 0.221330i | ||||
\(619\) | −10.3127 | + | 17.8621i | −0.414503 | + | 0.717940i | −0.995376 | − | 0.0960543i | \(-0.969378\pi\) |
0.580873 | + | 0.813994i | \(0.302711\pi\) | |||||||
\(620\) | 0.104443 | − | 0.0157423i | 0.00419454 | − | 0.000632226i | ||||
\(621\) | 0.481185 | − | 0.446474i | 0.0193093 | − | 0.0179164i | ||||
\(622\) | 15.2213 | + | 7.33021i | 0.610320 | + | 0.293915i | ||||
\(623\) | −6.38272 | + | 13.1173i | −0.255718 | + | 0.525535i | ||||
\(624\) | 2.31257 | − | 1.11367i | 0.0925767 | − | 0.0445826i | ||||
\(625\) | 8.82190 | − | 22.4778i | 0.352876 | − | 0.899114i | ||||
\(626\) | 2.01965 | − | 26.9504i | 0.0807216 | − | 1.07715i | ||||
\(627\) | −2.13702 | − | 0.659182i | −0.0853442 | − | 0.0263252i | ||||
\(628\) | −0.538533 | − | 7.18622i | −0.0214898 | − | 0.286761i | ||||
\(629\) | −3.21197 | + | 14.0726i | −0.128070 | + | 0.561110i | ||||
\(630\) | 1.15176 | − | 1.23123i | 0.0458871 | − | 0.0490535i | ||||
\(631\) | 4.76601 | + | 20.8813i | 0.189732 | + | 0.831270i | 0.976757 | + | 0.214349i | \(0.0687629\pi\) |
−0.787025 | + | 0.616921i | \(0.788380\pi\) | |||||||
\(632\) | −37.7467 | + | 11.6433i | −1.50148 | + | 0.463147i | ||||
\(633\) | −3.70665 | − | 9.44440i | −0.147326 | − | 0.375381i | ||||
\(634\) | 7.68826 | + | 7.13366i | 0.305340 | + | 0.283314i | ||||
\(635\) | −0.138352 | − | 0.0943265i | −0.00549031 | − | 0.00374323i | ||||
\(636\) | 3.84653 | 0.152525 | ||||||||
\(637\) | 5.75146 | + | 3.99008i | 0.227881 | + | 0.158093i | ||||
\(638\) | −3.07387 | −0.121696 | ||||||||
\(639\) | 12.3453 | + | 8.41685i | 0.488371 | + | 0.332965i | ||||
\(640\) | −0.988334 | − | 0.917040i | −0.0390673 | − | 0.0362492i | ||||
\(641\) | −14.9458 | − | 38.0812i | −0.590323 | − | 1.50412i | −0.843735 | − | 0.536760i | \(-0.819648\pi\) |
0.253412 | − | 0.967358i | \(-0.418447\pi\) | |||||||
\(642\) | −14.5992 | + | 4.50325i | −0.576184 | + | 0.177729i | ||||
\(643\) | −0.311315 | − | 1.36396i | −0.0122771 | − | 0.0537893i | 0.968418 | − | 0.249331i | \(-0.0802107\pi\) |
−0.980695 | + | 0.195542i | \(0.937354\pi\) | |||||||
\(644\) | 0.0528140 | − | 0.168782i | 0.00208116 | − | 0.00665095i | ||||
\(645\) | 0.552077 | − | 2.41881i | 0.0217380 | − | 0.0952405i | ||||
\(646\) | 0.807125 | + | 10.7703i | 0.0317559 | + | 0.423753i | ||||
\(647\) | −7.88940 | − | 2.43356i | −0.310164 | − | 0.0956731i | 0.135765 | − | 0.990741i | \(-0.456651\pi\) |
−0.445930 | + | 0.895068i | \(0.647127\pi\) | |||||||
\(648\) | −0.496897 | + | 6.63063i | −0.0195200 | + | 0.260476i | ||||
\(649\) | 0.527218 | − | 1.34333i | 0.0206951 | − | 0.0527303i | ||||
\(650\) | −5.48906 | + | 2.64339i | −0.215299 | + | 0.103682i | ||||
\(651\) | −2.16650 | − | 0.503755i | −0.0849120 | − | 0.0197437i | ||||
\(652\) | −9.57739 | − | 4.61223i | −0.375080 | − | 0.180629i | ||||
\(653\) | 20.5545 | − | 19.0718i | 0.804358 | − | 0.746335i | −0.166487 | − | 0.986044i | \(-0.553242\pi\) |
0.970845 | + | 0.239708i | \(0.0770518\pi\) | |||||||
\(654\) | −11.9890 | + | 1.80704i | −0.468805 | + | 0.0706610i | ||||
\(655\) | 2.15139 | − | 3.72631i | 0.0840617 | − | 0.145599i | ||||
\(656\) | 8.76174 | + | 15.1758i | 0.342089 | + | 0.592515i | ||||
\(657\) | −16.5779 | − | 20.7880i | −0.646766 | − | 0.811018i | ||||
\(658\) | 3.11219 | − | 20.0941i | 0.121326 | − | 0.783348i | ||||
\(659\) | 15.3195 | − | 19.2100i | 0.596763 | − | 0.748317i | −0.388107 | − | 0.921614i | \(-0.626871\pi\) |
0.984870 | + | 0.173297i | \(0.0554422\pi\) | |||||||
\(660\) | 0.122430 | + | 0.0184534i | 0.00476559 | + | 0.000718297i | ||||
\(661\) | −7.93579 | + | 5.41053i | −0.308667 | + | 0.210445i | −0.707739 | − | 0.706474i | \(-0.750285\pi\) |
0.399072 | + | 0.916919i | \(0.369332\pi\) | |||||||
\(662\) | 8.00879 | − | 5.46030i | 0.311271 | − | 0.212221i | ||||
\(663\) | 3.81831 | + | 0.575517i | 0.148291 | + | 0.0223512i | ||||
\(664\) | −26.4445 | + | 33.1604i | −1.02625 | + | 1.28687i | ||||
\(665\) | 0.381510 | + | 1.25489i | 0.0147943 | + | 0.0486627i | ||||
\(666\) | 5.68394 | + | 7.12743i | 0.220248 | + | 0.276182i | ||||
\(667\) | 0.147065 | + | 0.254724i | 0.00569437 | + | 0.00986294i | ||||
\(668\) | 0.786940 | − | 1.36302i | 0.0304476 | − | 0.0527369i | ||||
\(669\) | 11.9337 | − | 1.79872i | 0.461385 | − | 0.0695426i | ||||
\(670\) | −1.90622 | + | 1.76871i | −0.0736436 | + | 0.0683313i | ||||
\(671\) | 3.79629 | + | 1.82820i | 0.146554 | + | 0.0705768i | ||||
\(672\) | −2.76376 | − | 5.79913i | −0.106614 | − | 0.223706i | ||||
\(673\) | 11.9763 | − | 5.76751i | 0.461654 | − | 0.222321i | −0.188575 | − | 0.982059i | \(-0.560387\pi\) |
0.650230 | + | 0.759738i | \(0.274673\pi\) | |||||||
\(674\) | 1.96529 | − | 5.00747i | 0.0757001 | − | 0.192881i | ||||
\(675\) | −1.74412 | + | 23.2737i | −0.0671312 | + | 0.895804i | ||||
\(676\) | −0.459458 | − | 0.141724i | −0.0176715 | − | 0.00545093i | ||||
\(677\) | 2.16912 | + | 28.9449i | 0.0833661 | + | 1.11244i | 0.869350 | + | 0.494196i | \(0.164538\pi\) |
−0.785984 | + | 0.618246i | \(0.787843\pi\) | |||||||
\(678\) | 1.96637 | − | 8.61525i | 0.0755181 | − | 0.330867i | ||||
\(679\) | −24.2657 | − | 14.1415i | −0.931230 | − | 0.542700i | ||||
\(680\) | −0.686518 | − | 3.00783i | −0.0263268 | − | 0.115345i | ||||
\(681\) | −15.8223 | + | 4.88053i | −0.606311 | + | 0.187022i | ||||
\(682\) | −0.488038 | − | 1.24350i | −0.0186880 | − | 0.0476161i | ||||
\(683\) | −22.6279 | − | 20.9956i | −0.865833 | − | 0.803375i | 0.115975 | − | 0.993252i | \(-0.463001\pi\) |
−0.981808 | + | 0.189877i | \(0.939191\pi\) | |||||||
\(684\) | −1.78379 | − | 1.21616i | −0.0682048 | − | 0.0465012i | ||||
\(685\) | −1.98620 | −0.0758886 | ||||||||
\(686\) | −13.0878 | + | 18.7026i | −0.499694 | + | 0.714070i | ||||
\(687\) | 18.1494 | 0.692444 | ||||||||
\(688\) | −26.3415 | − | 17.9594i | −1.00426 | − | 0.684694i | ||||
\(689\) | 6.41366 | + | 5.95101i | 0.244341 | + | 0.226715i | ||||
\(690\) | 0.0136756 | + | 0.0348448i | 0.000520620 | + | 0.00132652i | ||||
\(691\) | 33.5351 | − | 10.3442i | 1.27573 | − | 0.393512i | 0.418396 | − | 0.908265i | \(-0.362592\pi\) |
0.857339 | + | 0.514753i | \(0.172116\pi\) | |||||||
\(692\) | 0.489329 | + | 2.14389i | 0.0186015 | + | 0.0814985i | ||||
\(693\) | 5.83078 | + | 3.39805i | 0.221493 | + | 0.129081i | ||||
\(694\) | 2.36315 | − | 10.3536i | 0.0897039 | − | 0.393018i | ||||
\(695\) | −0.183289 | − | 2.44582i | −0.00695255 | − | 0.0927754i | ||||
\(696\) | 5.65246 | + | 1.74355i | 0.214256 | + | 0.0660892i | ||||
\(697\) | −1.97006 | + | 26.2887i | −0.0746215 | + | 0.995755i | ||||
\(698\) | 8.22262 | − | 20.9509i | 0.311231 | − | 0.793003i | ||||
\(699\) | −7.02318 | + | 3.38219i | −0.265641 | + | 0.127926i | ||||
\(700\) | 2.70525 | + | 5.67635i | 0.102249 | + | 0.214546i | ||||
\(701\) | −23.1161 | − | 11.1321i | −0.873081 | − | 0.420454i | −0.0569887 | − | 0.998375i | \(-0.518150\pi\) |
−0.816093 | + | 0.577921i | \(0.803864\pi\) | |||||||
\(702\) | 4.26616 | − | 3.95842i | 0.161016 | − | 0.149401i | ||||
\(703\) | −7.01288 | + | 1.05702i | −0.264496 | + | 0.0398663i | ||||
\(704\) | 5.23800 | − | 9.07247i | 0.197414 | − | 0.341932i | ||||
\(705\) | −0.681073 | − | 1.17965i | −0.0256507 | − | 0.0444283i | ||||
\(706\) | 23.7374 | + | 29.7657i | 0.893367 | + | 1.12025i | ||||
\(707\) | −8.28692 | − | 27.2580i | −0.311662 | − | 1.02514i | ||||
\(708\) | −0.335580 | + | 0.420805i | −0.0126119 | + | 0.0158148i | ||||
\(709\) | 6.97964 | + | 1.05201i | 0.262126 | + | 0.0395091i | 0.278790 | − | 0.960352i | \(-0.410067\pi\) |
−0.0166645 | + | 0.999861i | \(0.505305\pi\) | |||||||
\(710\) | −1.67998 | + | 1.14539i | −0.0630485 | + | 0.0429857i | ||||
\(711\) | −23.0977 | + | 15.7478i | −0.866233 | + | 0.590587i | ||||
\(712\) | 16.6710 | + | 2.51275i | 0.624773 | + | 0.0941694i | ||||
\(713\) | −0.0796963 | + | 0.0999360i | −0.00298465 | + | 0.00374263i | ||||
\(714\) | −1.92732 | + | 12.4439i | −0.0721282 | + | 0.465700i | ||||
\(715\) | 0.175590 | + | 0.220182i | 0.00656668 | + | 0.00823435i | ||||
\(716\) | 3.40105 | + | 5.89080i | 0.127103 | + | 0.220149i | ||||
\(717\) | −5.87767 | + | 10.1804i | −0.219505 | + | 0.380195i | ||||
\(718\) | −18.1802 | + | 2.74023i | −0.678480 | + | 0.102264i | ||||
\(719\) | 6.57809 | − | 6.10358i | 0.245321 | − | 0.227625i | −0.547922 | − | 0.836529i | \(-0.684581\pi\) |
0.793244 | + | 0.608904i | \(0.208391\pi\) | |||||||
\(720\) | −1.30760 | − | 0.629706i | −0.0487313 | − | 0.0234678i | ||||
\(721\) | −14.5278 | − | 3.37800i | −0.541044 | − | 0.125803i | ||||
\(722\) | 16.3182 | − | 7.85843i | 0.607300 | − | 0.292460i | ||||
\(723\) | −8.33098 | + | 21.2270i | −0.309832 | + | 0.789440i | ||||
\(724\) | 0.229283 | − | 3.05958i | 0.00852125 | − | 0.113708i | ||||
\(725\) | −9.99323 | − | 3.08250i | −0.371139 | − | 0.114481i | ||||
\(726\) | 0.809400 | + | 10.8007i | 0.0300397 | + | 0.400851i | ||||
\(727\) | −1.70962 | + | 7.49033i | −0.0634062 | + | 0.277801i | −0.996686 | − | 0.0813505i | \(-0.974077\pi\) |
0.933279 | + | 0.359151i | \(0.116934\pi\) | |||||||
\(728\) | 2.41594 | − | 7.72084i | 0.0895408 | − | 0.286153i | ||||
\(729\) | −1.83497 | − | 8.03952i | −0.0679617 | − | 0.297760i | ||||
\(730\) | 3.45755 | − | 1.06651i | 0.127970 | − | 0.0394734i | ||||
\(731\) | −17.5226 | − | 44.6469i | −0.648097 | − | 1.65132i | ||||
\(732\) | −1.15202 | − | 1.06892i | −0.0425799 | − | 0.0395083i | ||||
\(733\) | 16.5409 | + | 11.2774i | 0.610950 | + | 0.416539i | 0.828881 | − | 0.559425i | \(-0.188978\pi\) |
−0.217930 | + | 0.975964i | \(0.569931\pi\) | |||||||
\(734\) | 17.4119 | 0.642684 | ||||||||
\(735\) | 0.101888 | + | 1.52579i | 0.00375820 | + | 0.0562796i | ||||
\(736\) | −0.369168 | −0.0136077 | ||||||||
\(737\) | −8.60030 | − | 5.86358i | −0.316796 | − | 0.215988i | ||||
\(738\) | 12.2050 | + | 11.3246i | 0.449273 | + | 0.416865i | ||||
\(739\) | −16.1536 | − | 41.1586i | −0.594218 | − | 1.51404i | −0.838814 | − | 0.544419i | \(-0.816750\pi\) |
0.244595 | − | 0.969625i | \(-0.421345\pi\) | |||||||
\(740\) | 0.375198 | − | 0.115733i | 0.0137926 | − | 0.00425444i | ||||
\(741\) | 0.422176 | + | 1.84967i | 0.0155090 | + | 0.0679494i | ||||
\(742\) | −19.4911 | + | 20.8361i | −0.715542 | + | 0.764918i | ||||
\(743\) | 3.73508 | − | 16.3645i | 0.137027 | − | 0.600354i | −0.859052 | − | 0.511888i | \(-0.828946\pi\) |
0.996079 | − | 0.0884660i | \(-0.0281965\pi\) | |||||||
\(744\) | 0.192105 | + | 2.56347i | 0.00704292 | + | 0.0939813i | ||||
\(745\) | −3.82123 | − | 1.17869i | −0.139999 | − | 0.0431840i | ||||
\(746\) | −0.638737 | + | 8.52336i | −0.0233858 | + | 0.312062i | ||||
\(747\) | −10.9661 | + | 27.9412i | −0.401229 | + | 1.02232i | ||||
\(748\) | 2.15649 | − | 1.03851i | 0.0788491 | − | 0.0379717i | ||||
\(749\) | −15.6932 | + | 32.2515i | −0.573416 | + | 1.17845i | ||||
\(750\) | −2.41207 | − | 1.16159i | −0.0880765 | − | 0.0424154i | ||||
\(751\) | 11.4693 | − | 10.6419i | 0.418519 | − | 0.388329i | −0.442611 | − | 0.896714i | \(-0.645948\pi\) |
0.861130 | + | 0.508385i | \(0.169757\pi\) | |||||||
\(752\) | −17.3082 | + | 2.60880i | −0.631166 | + | 0.0951330i | ||||
\(753\) | 0.843235 | − | 1.46053i | 0.0307292 | − | 0.0532245i | ||||
\(754\) | 1.30387 | + | 2.25836i | 0.0474841 | + | 0.0822448i | ||||
\(755\) | 1.68982 | + | 2.11897i | 0.0614988 | + | 0.0771170i | ||||
\(756\) | −4.06761 | − | 4.41970i | −0.147938 | − | 0.160743i | ||||
\(757\) | 4.20248 | − | 5.26975i | 0.152742 | − | 0.191532i | −0.699573 | − | 0.714561i | \(-0.746627\pi\) |
0.852315 | + | 0.523029i | \(0.175198\pi\) | |||||||
\(758\) | −6.79038 | − | 1.02349i | −0.246638 | − | 0.0371747i | ||||
\(759\) | −0.123801 | + | 0.0844058i | −0.00449367 | + | 0.00306373i | ||||
\(760\) | 1.25245 | − | 0.853905i | 0.0454311 | − | 0.0309744i | ||||
\(761\) | 15.3077 | + | 2.30726i | 0.554903 | + | 0.0836382i | 0.420507 | − | 0.907289i | \(-0.361852\pi\) |
0.134396 | + | 0.990928i | \(0.457090\pi\) | |||||||
\(762\) | 0.492471 | − | 0.617539i | 0.0178403 | − | 0.0223711i | ||||
\(763\) | −16.1294 | + | 23.4524i | −0.583925 | + | 0.849032i | ||||
\(764\) | 7.52708 | + | 9.43865i | 0.272320 | + | 0.341479i | ||||
\(765\) | −1.09169 | − | 1.89086i | −0.0394701 | − | 0.0683642i | ||||
\(766\) | −15.2804 | + | 26.4664i | −0.552103 | + | 0.956270i | ||||
\(767\) | −1.21058 | + | 0.182465i | −0.0437114 | + | 0.00658843i | ||||
\(768\) | −7.25183 | + | 6.72872i | −0.261678 | + | 0.242802i | ||||
\(769\) | −10.6284 | − | 5.11835i | −0.383269 | − | 0.184573i | 0.232321 | − | 0.972639i | \(-0.425368\pi\) |
−0.615590 | + | 0.788067i | \(0.711082\pi\) | |||||||
\(770\) | −0.720339 | + | 0.569681i | −0.0259592 | + | 0.0205299i | ||||
\(771\) | −16.2001 | + | 7.80156i | −0.583433 | + | 0.280966i | ||||
\(772\) | 3.26170 | − | 8.31067i | 0.117391 | − | 0.299108i | ||||
\(773\) | 3.03140 | − | 40.4513i | 0.109032 | − | 1.45493i | −0.627546 | − | 0.778579i | \(-0.715941\pi\) |
0.736578 | − | 0.676352i | \(-0.236440\pi\) | |||||||
\(774\) | −28.9456 | − | 8.92854i | −1.04043 | − | 0.320930i | ||||
\(775\) | −0.339632 | − | 4.53207i | −0.0121999 | − | 0.162797i | ||||
\(776\) | −7.22281 | + | 31.6452i | −0.259284 | + | 1.13600i | ||||
\(777\) | −8.24289 | − | 0.651390i | −0.295712 | − | 0.0233685i | ||||
\(778\) | 5.65028 | + | 24.7555i | 0.202572 | + | 0.887527i | ||||
\(779\) | −12.3772 | + | 3.81786i | −0.443459 | + | 0.136789i | ||||
\(780\) | −0.0383745 | − | 0.0977767i | −0.00137403 | − | 0.00350097i | ||||
\(781\) | −5.96627 | − | 5.53589i | −0.213490 | − | 0.198090i | ||||
\(782\) | 0.597893 | + | 0.407637i | 0.0213806 | + | 0.0145771i | ||||
\(783\) | 9.98979 | 0.357006 | ||||||||
\(784\) | 18.7295 | + | 5.94431i | 0.668912 | + | 0.212297i | ||||
\(785\) | 3.58081 | 0.127805 | ||||||||
\(786\) | 16.7698 | + | 11.4334i | 0.598157 | + | 0.407817i | ||||
\(787\) | 10.7998 | + | 10.0207i | 0.384971 | + | 0.357201i | 0.848791 | − | 0.528729i | \(-0.177331\pi\) |
−0.463820 | + | 0.885929i | \(0.653522\pi\) | |||||||
\(788\) | 1.67187 | + | 4.25986i | 0.0595579 | + | 0.151751i | ||||
\(789\) | −5.71056 | + | 1.76147i | −0.203301 | + | 0.0627101i | ||||
\(790\) | −0.846523 | − | 3.70886i | −0.0301179 | − | 0.131955i | ||||
\(791\) | −11.6167 | − | 17.1881i | −0.413041 | − | 0.611138i | ||||
\(792\) | 1.73556 | − | 7.60400i | 0.0616706 | − | 0.270196i | ||||
\(793\) | −0.267130 | − | 3.56461i | −0.00948608 | − | 0.126583i | ||||
\(794\) | 29.3932 | + | 9.06660i | 1.04313 | + | 0.321762i | ||||
\(795\) | −0.142833 | + | 1.90598i | −0.00506578 | + | 0.0675981i | ||||
\(796\) | 3.78734 | − | 9.64999i | 0.134239 | − | 0.342035i | ||||
\(797\) | −24.2056 | + | 11.6568i | −0.857408 | + | 0.412906i | −0.810322 | − | 0.585985i | \(-0.800708\pi\) |
−0.0470860 | + | 0.998891i | \(0.514993\pi\) | |||||||
\(798\) | −6.03736 | + | 1.35222i | −0.213720 | + | 0.0478680i | ||||
\(799\) | −23.7249 | − | 11.4253i | −0.839328 | − | 0.404199i | ||||
\(800\) | 9.62194 | − | 8.92785i | 0.340187 | − | 0.315647i | ||||
\(801\) | 11.7981 | − | 1.77827i | 0.416864 | − | 0.0628321i | ||||
\(802\) | 7.98640 | − | 13.8328i | 0.282010 | − | 0.488455i | ||||
\(803\) | 7.24176 | + | 12.5431i | 0.255556 | + | 0.442636i | ||||
\(804\) | 2.42054 | + | 3.03526i | 0.0853659 | + | 0.107046i | ||||
\(805\) | 0.0816715 | + | 0.0324371i | 0.00287854 | + | 0.00114326i | ||||
\(806\) | −0.706583 | + | 0.886027i | −0.0248883 | + | 0.0312090i | ||||
\(807\) | 6.66108 | + | 1.00400i | 0.234481 | + | 0.0353424i | ||||
\(808\) | −27.2049 | + | 18.5480i | −0.957065 | + | 0.652516i | ||||
\(809\) | −10.1175 | + | 6.89800i | −0.355713 | + | 0.242521i | −0.727970 | − | 0.685609i | \(-0.759536\pi\) |
0.372258 | + | 0.928129i | \(0.378584\pi\) | |||||||
\(810\) | −0.633206 | − | 0.0954404i | −0.0222486 | − | 0.00335344i | ||||
\(811\) | 32.4079 | − | 40.6382i | 1.13799 | − | 1.42700i | 0.249343 | − | 0.968415i | \(-0.419785\pi\) |
0.888651 | − | 0.458584i | \(-0.151643\pi\) | |||||||
\(812\) | 2.33633 | − | 1.33626i | 0.0819891 | − | 0.0468935i | ||||
\(813\) | 1.26784 | + | 1.58982i | 0.0444650 | + | 0.0557573i | ||||
\(814\) | −2.48293 | − | 4.30056i | −0.0870265 | − | 0.150734i | ||||
\(815\) | 2.64103 | − | 4.57439i | 0.0925111 | − | 0.160234i | ||||
\(816\) | 10.7186 | − | 1.61558i | 0.375228 | − | 0.0565565i | ||||
\(817\) | 17.2746 | − | 16.0285i | 0.604362 | − | 0.560766i | ||||
\(818\) | 6.52703 | + | 3.14325i | 0.228212 | + | 0.109901i | ||||
\(819\) | 0.0232489 | − | 5.72524i | 0.000812383 | − | 0.200056i | ||||
\(820\) | 0.646086 | − | 0.311139i | 0.0225623 | − | 0.0108654i | ||||
\(821\) | 10.8434 | − | 27.6284i | 0.378436 | − | 0.964238i | −0.607078 | − | 0.794642i | \(-0.707658\pi\) |
0.985514 | − | 0.169596i | \(-0.0542463\pi\) | |||||||
\(822\) | 0.700148 | − | 9.34283i | 0.0244205 | − | 0.325869i | ||||
\(823\) | −22.0863 | − | 6.81271i | −0.769879 | − | 0.237476i | −0.115158 | − | 0.993347i | \(-0.536738\pi\) |
−0.654721 | + | 0.755871i | \(0.727214\pi\) | |||||||
\(824\) | 1.28819 | + | 17.1897i | 0.0448762 | + | 0.598832i | ||||
\(825\) | 1.18547 | − | 5.19389i | 0.0412728 | − | 0.180828i | ||||
\(826\) | −0.578986 | − | 3.95010i | −0.0201455 | − | 0.137441i | ||||
\(827\) | −7.07415 | − | 30.9939i | −0.245992 | − | 1.07776i | −0.935456 | − | 0.353443i | \(-0.885011\pi\) |
0.689464 | − | 0.724320i | \(-0.257846\pi\) | |||||||
\(828\) | −0.138221 | + | 0.0426355i | −0.00480351 | + | 0.00148169i | ||||
\(829\) | −6.61310 | − | 16.8499i | −0.229683 | − | 0.585222i | 0.768847 | − | 0.639433i | \(-0.220831\pi\) |
−0.998529 | + | 0.0542113i | \(0.982736\pi\) | |||||||
\(830\) | −2.99429 | − | 2.77829i | −0.103933 | − | 0.0964359i | ||||
\(831\) | −6.77434 | − | 4.61867i | −0.234999 | − | 0.160220i | ||||
\(832\) | −8.88737 | −0.308114 | ||||||||
\(833\) | 18.2432 | + | 23.2613i | 0.632090 | + | 0.805957i | ||||
\(834\) | 11.5695 | 0.400618 | ||||||||
\(835\) | 0.646164 | + | 0.440547i | 0.0223614 | + | 0.0152458i | ||||
\(836\) | 0.862077 | + | 0.799890i | 0.0298155 | + | 0.0276648i | ||||
\(837\) | 1.58608 | + | 4.04126i | 0.0548229 | + | 0.139687i | ||||
\(838\) | 14.2229 | − | 4.38719i | 0.491322 | − | 0.151553i | ||||
\(839\) | 5.36521 | + | 23.5065i | 0.185228 | + | 0.811535i | 0.979088 | + | 0.203436i | \(0.0652107\pi\) |
−0.793861 | + | 0.608100i | \(0.791932\pi\) | |||||||
\(840\) | 1.64775 | − | 0.638983i | 0.0568526 | − | 0.0220470i | ||||
\(841\) | 5.45704 | − | 23.9089i | 0.188174 | − | 0.824443i | ||||
\(842\) | 1.32271 | + | 17.6503i | 0.0455834 | + | 0.608269i | ||||
\(843\) | 26.0212 | + | 8.02647i | 0.896217 | + | 0.276446i | ||||
\(844\) | −0.398700 | + | 5.32028i | −0.0137238 | + | 0.183132i | ||||
\(845\) | 0.0872862 | − | 0.222402i | 0.00300274 | − | 0.00765085i | ||||
\(846\) | −14.9839 | + | 7.21585i | −0.515156 | + | 0.248086i | ||||
\(847\) | 19.8152 | + | 15.9341i | 0.680858 | + | 0.547504i | ||||
\(848\) | 22.1284 | + | 10.6565i | 0.759893 | + | 0.365945i | ||||
\(849\) | −7.80835 | + | 7.24509i | −0.267982 | + | 0.248651i | ||||
\(850\) | −25.4416 | + | 3.83470i | −0.872639 | + | 0.131529i | ||||
\(851\) | −0.237584 | + | 0.411507i | −0.00814427 | + | 0.0141063i | ||||
\(852\) | 1.51780 | + | 2.62890i | 0.0519989 | + | 0.0900647i | ||||
\(853\) | 21.4693 | + | 26.9216i | 0.735094 | + | 0.921778i | 0.999086 | − | 0.0427466i | \(-0.0136108\pi\) |
−0.263992 | + | 0.964525i | \(0.585039\pi\) | |||||||
\(854\) | 11.6277 | − | 0.823908i | 0.397892 | − | 0.0281935i | ||||
\(855\) | 0.668855 | − | 0.838717i | 0.0228743 | − | 0.0286835i | ||||
\(856\) | 40.9890 | + | 6.17809i | 1.40097 | + | 0.211163i | ||||
\(857\) | −13.3907 | + | 9.12965i | −0.457419 | + | 0.311863i | −0.770018 | − | 0.638022i | \(-0.779753\pi\) |
0.312599 | + | 0.949885i | \(0.398800\pi\) | |||||||
\(858\) | −1.09761 | + | 0.748337i | −0.0374717 | + | 0.0255478i | ||||
\(859\) | −55.0548 | − | 8.29818i | −1.87845 | − | 0.283130i | −0.892609 | − | 0.450831i | \(-0.851128\pi\) |
−0.985838 | + | 0.167701i | \(0.946366\pi\) | |||||||
\(860\) | −0.813440 | + | 1.02002i | −0.0277381 | + | 0.0347824i | ||||
\(861\) | −15.0636 | + | 1.06736i | −0.513365 | + | 0.0363757i | ||||
\(862\) | 10.0536 | + | 12.6069i | 0.342429 | + | 0.429392i | ||||
\(863\) | 26.6300 | + | 46.1244i | 0.906494 | + | 1.57009i | 0.818899 | + | 0.573938i | \(0.194585\pi\) |
0.0875950 | + | 0.996156i | \(0.472082\pi\) | |||||||
\(864\) | −6.26920 | + | 10.8586i | −0.213282 | + | 0.369416i | ||||
\(865\) | −1.08048 | + | 0.162856i | −0.0367375 | + | 0.00553728i | ||||
\(866\) | 10.0916 | − | 9.36361i | 0.342926 | − | 0.318189i | ||||
\(867\) | 0.687686 | + | 0.331172i | 0.0233550 | + | 0.0112472i | ||||
\(868\) | 0.911509 | + | 0.732980i | 0.0309386 | + | 0.0248789i | ||||
\(869\) | 13.7198 | − | 6.60710i | 0.465412 | − | 0.224131i | ||||
\(870\) | −0.208125 | + | 0.530294i | −0.00705610 | + | 0.0179787i | ||||
\(871\) | −0.659905 | + | 8.80582i | −0.0223600 | + | 0.298374i | ||||
\(872\) | 31.4343 | + | 9.69619i | 1.06450 | + | 0.328354i | ||||
\(873\) | 1.71664 | + | 22.9070i | 0.0580994 | + | 0.775283i | ||||
\(874\) | −0.0791156 | + | 0.346628i | −0.00267613 | + | 0.0117249i | ||||
\(875\) | −5.85988 | + | 2.27242i | −0.198100 | + | 0.0768217i | ||||
\(876\) | −1.20204 | − | 5.26650i | −0.0406133 | − | 0.177939i | ||||
\(877\) | 4.95126 | − | 1.52726i | 0.167192 | − | 0.0515719i | −0.210029 | − | 0.977695i | \(-0.567356\pi\) |
0.377221 | + | 0.926123i | \(0.376880\pi\) | |||||||
\(878\) | −12.4535 | − | 31.7311i | −0.420286 | − | 1.07087i | ||||
\(879\) | 7.94966 | + | 7.37620i | 0.268135 | + | 0.248793i | ||||
\(880\) | 0.653197 | + | 0.445342i | 0.0220193 | + | 0.0150125i | ||||
\(881\) | −38.1182 | −1.28424 | −0.642118 | − | 0.766606i | \(-0.721944\pi\) | ||||
−0.642118 | + | 0.766606i | \(0.721944\pi\) | |||||||
\(882\) | 18.6697 | + | 0.151629i | 0.628640 | + | 0.00510562i | ||||
\(883\) | 55.3124 | 1.86141 | 0.930705 | − | 0.365771i | \(-0.119195\pi\) | ||||
0.930705 | + | 0.365771i | \(0.119195\pi\) | |||||||
\(884\) | −1.67773 | − | 1.14386i | −0.0564281 | − | 0.0384720i | ||||
\(885\) | −0.196050 | − | 0.181908i | −0.00659015 | − | 0.00611477i | ||||
\(886\) | −6.90822 | − | 17.6019i | −0.232086 | − | 0.591346i | ||||
\(887\) | 40.3748 | − | 12.4540i | 1.35565 | − | 0.418164i | 0.470064 | − | 0.882632i | \(-0.344231\pi\) |
0.885590 | + | 0.464469i | \(0.153755\pi\) | |||||||
\(888\) | 2.12644 | + | 9.31654i | 0.0713587 | + | 0.312643i | ||||
\(889\) | −0.268921 | − | 1.83470i | −0.00901933 | − | 0.0615338i | ||||
\(890\) | −0.361296 | + | 1.58294i | −0.0121107 | + | 0.0530603i | ||||
\(891\) | −0.191553 | − | 2.55609i | −0.00641726 | − | 0.0856324i | ||||
\(892\) | −6.06437 | − | 1.87061i | −0.203050 | − | 0.0626326i | ||||
\(893\) | 0.966861 | − | 12.9019i | 0.0323548 | − | 0.431744i | ||||
\(894\) | 6.89144 | − | 17.5591i | 0.230484 | − | 0.587264i | ||||
\(895\) | −3.04522 | + | 1.46650i | −0.101790 | + | 0.0490197i | ||||
\(896\) | 0.0606285 | − | 14.9303i | 0.00202546 | − | 0.498785i | ||||
\(897\) | 0.114526 | + | 0.0551529i | 0.00382392 | + | 0.00184150i | ||||
\(898\) | −6.06870 | + | 5.63093i | −0.202515 | + | 0.187907i | ||||
\(899\) | −1.92358 | + | 0.289933i | −0.0641549 | + | 0.00966980i | ||||
\(900\) | 2.57148 | − | 4.45394i | 0.0857161 | − | 0.148465i | ||||
\(901\) | 18.4746 | + | 31.9990i | 0.615478 | + | 1.06604i | ||||
\(902\) | −5.65467 | − | 7.09073i | −0.188280 | − | 0.236096i | ||||
\(903\) | 23.8492 | − | 13.6405i | 0.793653 | − | 0.453929i | ||||
\(904\) | −14.9487 | + | 18.7451i | −0.497188 | + | 0.623454i | ||||
\(905\) | 1.50752 | + | 0.227223i | 0.0501118 | + | 0.00755314i | ||||
\(906\) | −10.5630 | + | 7.20175i | −0.350933 | + | 0.239262i | ||||
\(907\) | −28.9114 | + | 19.7114i | −0.959986 | + | 0.654508i | −0.938506 | − | 0.345262i | \(-0.887790\pi\) |
−0.0214799 | + | 0.999769i | \(0.506838\pi\) | |||||||
\(908\) | 8.60983 | + | 1.29772i | 0.285727 | + | 0.0430664i | ||||
\(909\) | −14.5284 | + | 18.2181i | −0.481878 | + | 0.604256i | ||||
\(910\) | 0.724095 | + | 0.287585i | 0.0240035 | + | 0.00953335i | ||||
\(911\) | −8.37586 | − | 10.5030i | −0.277504 | − | 0.347980i | 0.623473 | − | 0.781845i | \(-0.285721\pi\) |
−0.900978 | + | 0.433865i | \(0.857150\pi\) | |||||||
\(912\) | 2.66294 | + | 4.61235i | 0.0881787 | + | 0.152730i | ||||
\(913\) | 8.17520 | − | 14.1599i | 0.270560 | − | 0.468623i | ||||
\(914\) | 19.1292 | − | 2.88326i | 0.632737 | − | 0.0953697i | ||||
\(915\) | 0.572433 | − | 0.531140i | 0.0189241 | − | 0.0175590i | ||||
\(916\) | −8.59884 | − | 4.14098i | −0.284114 | − | 0.136822i | ||||
\(917\) | 46.4967 | − | 10.4141i | 1.53545 | − | 0.343904i | ||||
\(918\) | 22.1435 | − | 10.6637i | 0.730843 | − | 0.351956i | ||||
\(919\) | −19.4784 | + | 49.6300i | −0.642532 | + | 1.63714i | 0.121979 | + | 0.992533i | \(0.461076\pi\) |
−0.764511 | + | 0.644611i | \(0.777019\pi\) | |||||||
\(920\) | 0.00758966 | − | 0.101277i | 0.000250224 | − | 0.00333900i | ||||
\(921\) | 2.38399 | + | 0.735365i | 0.0785552 | + | 0.0242311i | ||||
\(922\) | −2.10152 | − | 28.0428i | −0.0692098 | − | 0.923540i | ||||
\(923\) | −1.53645 | + | 6.73161i | −0.0505727 | + | 0.221574i | ||||
\(924\) | 0.767760 | + | 1.13598i | 0.0252575 | + | 0.0373710i | ||||
\(925\) | −3.75943 | − | 16.4711i | −0.123609 | − | 0.541567i | ||||
\(926\) | 19.0054 | − | 5.86238i | 0.624556 | − | 0.192650i | ||||
\(927\) | 4.45688 | + | 11.3559i | 0.146383 | + | 0.372978i | ||||
\(928\) | −4.11849 | − | 3.82140i | −0.135196 | − | 0.125444i | ||||
\(929\) | 47.6968 | + | 32.5191i | 1.56488 | + | 1.06692i | 0.963413 | + | 0.268021i | \(0.0863697\pi\) |
0.601468 | + | 0.798897i | \(0.294583\pi\) | |||||||
\(930\) | −0.247569 | −0.00811811 | ||||||||
\(931\) | −7.36423 | + | 12.5193i | −0.241353 | + | 0.410304i | ||||
\(932\) | 4.09913 | 0.134271 | ||||||||
\(933\) | 10.3552 | + | 7.06006i | 0.339014 | + | 0.231136i | ||||
\(934\) | −13.3334 | − | 12.3716i | −0.436284 | − | 0.404812i | ||||
\(935\) | 0.434512 | + | 1.10712i | 0.0142101 | + | 0.0362066i | ||||
\(936\) | −6.32283 | + | 1.95034i | −0.206668 | + | 0.0637487i | ||||
\(937\) | −1.52652 | − | 6.68813i | −0.0498693 | − | 0.218492i | 0.943853 | − | 0.330365i | \(-0.107172\pi\) |
−0.993722 | + | 0.111874i | \(0.964315\pi\) | |||||||
\(938\) | −28.7070 | − | 2.26856i | −0.937317 | − | 0.0740710i | ||||
\(939\) | 4.46131 | − | 19.5463i | 0.145589 | − | 0.637869i | ||||
\(940\) | 0.0535287 | + | 0.714291i | 0.00174591 | + | 0.0232976i | ||||
\(941\) | 32.9682 | + | 10.1693i | 1.07473 | + | 0.331511i | 0.781099 | − | 0.624407i | \(-0.214659\pi\) |
0.293633 | + | 0.955918i | \(0.405136\pi\) | |||||||
\(942\) | −1.26226 | + | 16.8437i | −0.0411267 | + | 0.548798i | ||||
\(943\) | −0.317051 | + | 0.807834i | −0.0103246 | + | 0.0263067i | ||||
\(944\) | −3.09634 | + | 1.49112i | −0.100777 | + | 0.0485318i | ||||
\(945\) | 2.34103 | − | 1.85141i | 0.0761538 | − | 0.0602264i | ||||
\(946\) | 14.8663 | + | 7.15923i | 0.483345 | + | 0.232767i | ||||
\(947\) | −23.6466 | + | 21.9409i | −0.768412 | + | 0.712982i | −0.963472 | − | 0.267809i | \(-0.913700\pi\) |
0.195060 | + | 0.980791i | \(0.437510\pi\) | |||||||
\(948\) | −5.61610 | + | 0.846491i | −0.182403 | + | 0.0274928i | ||||
\(949\) | 6.14359 | − | 10.6410i | 0.199429 | − | 0.345422i | ||||
\(950\) | −6.32070 | − | 10.9478i | −0.205071 | − | 0.355193i | ||||
\(951\) | 4.85102 | + | 6.08299i | 0.157305 | + | 0.197254i | ||||
\(952\) | 19.3604 | − | 28.1501i | 0.627473 | − | 0.912351i | ||||
\(953\) | 0.0108868 | − | 0.0136516i | 0.000352657 | − | 0.000442218i | −0.781655 | − | 0.623711i | \(-0.785624\pi\) |
0.782008 | + | 0.623269i | \(0.214196\pi\) | |||||||
\(954\) | 23.0752 | + | 3.47803i | 0.747088 | + | 0.112605i | ||||
\(955\) | −4.95641 | + | 3.37923i | −0.160386 | + | 0.109349i | ||||
\(956\) | 5.10749 | − | 3.48223i | 0.165188 | − | 0.112623i | ||||
\(957\) | −2.25485 | − | 0.339864i | −0.0728890 | − | 0.0109862i | ||||
\(958\) | 18.5921 | − | 23.3137i | 0.600682 | − | 0.753232i | ||||
\(959\) | −14.8948 | − | 16.1841i | −0.480978 | − | 0.522611i | ||||
\(960\) | −1.21050 | − | 1.51792i | −0.0390687 | − | 0.0489906i | ||||
\(961\) | 15.0773 | + | 26.1147i | 0.486365 | + | 0.842408i | ||||
\(962\) | −2.10641 | + | 3.64840i | −0.0679132 | + | 0.117629i | ||||
\(963\) | 29.0078 | − | 4.37223i | 0.934764 | − | 0.140893i | ||||
\(964\) | 8.79021 | − | 8.15613i | 0.283114 | − | 0.262691i | ||||
\(965\) | 3.99687 | + | 1.92479i | 0.128664 | + | 0.0619613i | ||||
\(966\) | −0.181370 | + | 0.372739i | −0.00583548 | + | 0.0119927i | ||||
\(967\) | 11.0374 | − | 5.31532i | 0.354938 | − | 0.170929i | −0.247914 | − | 0.968782i | \(-0.579745\pi\) |
0.602852 | + | 0.797853i | \(0.294031\pi\) | |||||||
\(968\) | 10.7361 | − | 27.3551i | 0.345071 | − | 0.879227i | ||||
\(969\) | −0.598758 | + | 7.98987i | −0.0192349 | + | 0.256672i | ||||
\(970\) | −2.98711 | − | 0.921401i | −0.0959103 | − | 0.0295844i | ||||
\(971\) | −2.64796 | − | 35.3346i | −0.0849770 | − | 1.13394i | −0.862830 | − | 0.505494i | \(-0.831310\pi\) |
0.777853 | − | 0.628446i | \(-0.216309\pi\) | |||||||
\(972\) | −1.72829 | + | 7.57214i | −0.0554349 | + | 0.242876i | ||||
\(973\) | 18.5547 | − | 19.8351i | 0.594838 | − | 0.635884i | ||||
\(974\) | −5.44042 | − | 23.8361i | −0.174322 | − | 0.763756i | ||||
\(975\) | −4.31879 | + | 1.33217i | −0.138312 | + | 0.0426636i | ||||
\(976\) | −3.66602 | − | 9.34088i | −0.117347 | − | 0.298994i | ||||
\(977\) | −0.174478 | − | 0.161892i | −0.00558206 | − | 0.00517939i | 0.677377 | − | 0.735636i | \(-0.263117\pi\) |
−0.682959 | + | 0.730457i | \(0.739307\pi\) | |||||||
\(978\) | 20.5864 | + | 14.0356i | 0.658281 | + | 0.448808i | ||||
\(979\) | −6.49924 | −0.207716 | ||||||||
\(980\) | 0.299852 | − | 0.746135i | 0.00957843 | − | 0.0238344i | ||||
\(981\) | 23.2802 | 0.743281 | ||||||||
\(982\) | 17.3436 | + | 11.8246i | 0.553455 | + | 0.377339i | ||||
\(983\) | −10.0560 | − | 9.33064i | −0.320738 | − | 0.297601i | 0.503328 | − | 0.864095i | \(-0.332109\pi\) |
−0.824066 | + | 0.566494i | \(0.808299\pi\) | |||||||
\(984\) | 6.37624 | + | 16.2464i | 0.203267 | + | 0.517916i | ||||
\(985\) | −2.17287 | + | 0.670241i | −0.0692333 | + | 0.0213556i | ||||
\(986\) | 2.45058 | + | 10.7367i | 0.0780422 | + | 0.341925i | ||||
\(987\) | 4.50468 | − | 14.3960i | 0.143385 | − | 0.458229i | ||||
\(988\) | 0.222004 | − | 0.972662i | 0.00706288 | − | 0.0309445i | ||||
\(989\) | −0.117989 | − | 1.57445i | −0.00375183 | − | 0.0500647i | ||||
\(990\) | 0.717771 | + | 0.221403i | 0.0228122 | + | 0.00703665i | ||||
\(991\) | −3.10463 | + | 41.4284i | −0.0986218 | + | 1.31602i | 0.699982 | + | 0.714160i | \(0.253191\pi\) |
−0.798604 | + | 0.601857i | \(0.794428\pi\) | |||||||
\(992\) | 0.892014 | − | 2.27282i | 0.0283215 | − | 0.0721620i | ||||
\(993\) | 6.47861 | − | 3.11993i | 0.205592 | − | 0.0990081i | ||||
\(994\) | −21.9314 | − | 5.09948i | −0.695622 | − | 0.161746i | ||||
\(995\) | 4.64099 | + | 2.23499i | 0.147129 | + | 0.0708538i | ||||
\(996\) | −4.47032 | + | 4.14785i | −0.141648 | + | 0.131430i | ||||
\(997\) | 51.7316 | − | 7.79728i | 1.63836 | − | 0.246942i | 0.735701 | − | 0.677307i | \(-0.236853\pi\) |
0.902655 | + | 0.430364i | \(0.141615\pi\) | |||||||
\(998\) | 10.0239 | − | 17.3618i | 0.317300 | − | 0.549579i | ||||
\(999\) | 8.06928 | + | 13.9764i | 0.255301 | + | 0.442194i |
(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 | 637.2.bl.a.53.19 | ✓ | 324 | |
49.37 | even | 21 | inner | 637.2.bl.a.625.19 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.53.19 | ✓ | 324 | 1.1 | even | 1 | trivial | |
637.2.bl.a.625.19 | yes | 324 | 49.37 | even | 21 | inner |