Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(13,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.bb (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 85.14 | ||
Character | \(\chi\) | \(=\) | 552.85 |
Dual form | 552.2.bb.a.13.14 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.832989 | − | 1.14286i | −0.589012 | − | 0.808124i | ||||
\(3\) | −0.540641 | − | 0.841254i | −0.312139 | − | 0.485698i | ||||
\(4\) | −0.612258 | + | 1.90398i | −0.306129 | + | 0.951990i | ||||
\(5\) | 2.21313 | − | 1.01070i | 0.989740 | − | 0.451999i | 0.146310 | − | 0.989239i | \(-0.453260\pi\) |
0.843430 | + | 0.537240i | \(0.180533\pi\) | |||||||
\(6\) | −0.511087 | + | 1.31863i | −0.208650 | + | 0.538329i | ||||
\(7\) | −3.93606 | + | 1.15573i | −1.48769 | + | 0.436826i | −0.921804 | − | 0.387656i | \(-0.873285\pi\) |
−0.565888 | + | 0.824482i | \(0.691467\pi\) | |||||||
\(8\) | 2.68599 | − | 0.886269i | 0.949640 | − | 0.313343i | ||||
\(9\) | −0.415415 | + | 0.909632i | −0.138472 | + | 0.303211i | ||||
\(10\) | −2.99860 | − | 1.68739i | −0.948240 | − | 0.533600i | ||||
\(11\) | −1.69367 | + | 1.46758i | −0.510661 | + | 0.442491i | −0.871685 | − | 0.490066i | \(-0.836973\pi\) |
0.361024 | + | 0.932557i | \(0.382427\pi\) | |||||||
\(12\) | 1.93274 | − | 0.514305i | 0.557934 | − | 0.148467i | ||||
\(13\) | −0.366797 | + | 1.24920i | −0.101731 | + | 0.346465i | −0.994591 | − | 0.103870i | \(-0.966877\pi\) |
0.892860 | + | 0.450335i | \(0.148695\pi\) | |||||||
\(14\) | 4.59954 | + | 3.53566i | 1.22928 | + | 0.944944i | ||||
\(15\) | −2.04676 | − | 1.31537i | −0.528472 | − | 0.339628i | ||||
\(16\) | −3.25028 | − | 2.33146i | −0.812570 | − | 0.582864i | ||||
\(17\) | −0.326777 | + | 2.27279i | −0.0792551 | + | 0.551232i | 0.911047 | + | 0.412302i | \(0.135275\pi\) |
−0.990302 | + | 0.138929i | \(0.955634\pi\) | |||||||
\(18\) | 1.38562 | − | 0.282952i | 0.326593 | − | 0.0666925i | ||||
\(19\) | −3.05560 | + | 0.439329i | −0.701003 | + | 0.100789i | −0.483595 | − | 0.875292i | \(-0.660669\pi\) |
−0.217408 | + | 0.976081i | \(0.569760\pi\) | |||||||
\(20\) | 0.569349 | + | 4.83256i | 0.127310 | + | 1.08059i | ||||
\(21\) | 3.10026 | + | 2.68639i | 0.676532 | + | 0.586219i | ||||
\(22\) | 3.08804 | + | 0.713156i | 0.658373 | + | 0.152045i | ||||
\(23\) | −4.34498 | + | 2.03006i | −0.905991 | + | 0.423296i | ||||
\(24\) | −2.19773 | − | 1.78044i | −0.448610 | − | 0.363431i | ||||
\(25\) | 0.602107 | − | 0.694868i | 0.120421 | − | 0.138974i | ||||
\(26\) | 1.73319 | − | 0.621369i | 0.339907 | − | 0.121860i | ||||
\(27\) | 0.989821 | − | 0.142315i | 0.190491 | − | 0.0273885i | ||||
\(28\) | 0.209396 | − | 8.20179i | 0.0395721 | − | 1.54999i | ||||
\(29\) | −6.81354 | − | 0.979640i | −1.26524 | − | 0.181915i | −0.523167 | − | 0.852230i | \(-0.675250\pi\) |
−0.742076 | + | 0.670316i | \(0.766159\pi\) | |||||||
\(30\) | 0.201642 | + | 3.43485i | 0.0368146 | + | 0.627116i | ||||
\(31\) | 0.892638 | + | 0.573664i | 0.160323 | + | 0.103033i | 0.618342 | − | 0.785909i | \(-0.287805\pi\) |
−0.458020 | + | 0.888942i | \(0.651441\pi\) | |||||||
\(32\) | 0.0429204 | + | 5.65669i | 0.00758733 | + | 0.999971i | ||||
\(33\) | 2.15027 | + | 0.631376i | 0.374314 | + | 0.109909i | ||||
\(34\) | 2.86968 | − | 1.51975i | 0.492146 | − | 0.260634i | ||||
\(35\) | −7.54290 | + | 6.53596i | −1.27498 | + | 1.10478i | ||||
\(36\) | −1.47758 | − | 1.34787i | −0.246263 | − | 0.224645i | ||||
\(37\) | 1.62977 | + | 0.744293i | 0.267933 | + | 0.122361i | 0.544852 | − | 0.838532i | \(-0.316586\pi\) |
−0.276918 | + | 0.960893i | \(0.589313\pi\) | |||||||
\(38\) | 3.04738 | + | 3.12617i | 0.494350 | + | 0.507132i | ||||
\(39\) | 1.24920 | − | 0.366797i | 0.200031 | − | 0.0587345i | ||||
\(40\) | 5.04868 | − | 4.67615i | 0.798266 | − | 0.739365i | ||||
\(41\) | 4.91248 | + | 10.7568i | 0.767200 | + | 1.67993i | 0.732721 | + | 0.680529i | \(0.238250\pi\) |
0.0344796 | + | 0.999405i | \(0.489023\pi\) | |||||||
\(42\) | 0.487686 | − | 5.78090i | 0.0752516 | − | 0.892012i | ||||
\(43\) | −1.53959 | − | 2.39564i | −0.234785 | − | 0.365332i | 0.703790 | − | 0.710408i | \(-0.251490\pi\) |
−0.938575 | + | 0.345076i | \(0.887853\pi\) | |||||||
\(44\) | −1.75727 | − | 4.12325i | −0.264918 | − | 0.621604i | ||||
\(45\) | 2.43299i | 0.362689i | ||||||||
\(46\) | 5.93939 | + | 3.27469i | 0.875716 | + | 0.482827i | ||||
\(47\) | 9.60060 | 1.40039 | 0.700196 | − | 0.713951i | \(-0.253096\pi\) | ||||
0.700196 | + | 0.713951i | \(0.253096\pi\) | |||||||
\(48\) | −0.204111 | + | 3.99479i | −0.0294609 | + | 0.576598i | ||||
\(49\) | 8.26810 | − | 5.31359i | 1.18116 | − | 0.759084i | ||||
\(50\) | −1.29569 | − | 0.109306i | −0.183238 | − | 0.0154582i | ||||
\(51\) | 2.08866 | − | 0.953858i | 0.292471 | − | 0.133567i | ||||
\(52\) | −2.15387 | − | 1.46320i | −0.298688 | − | 0.202910i | ||||
\(53\) | −2.57267 | − | 8.76172i | −0.353384 | − | 1.20351i | −0.924030 | − | 0.382319i | \(-0.875126\pi\) |
0.570647 | − | 0.821196i | \(-0.306693\pi\) | |||||||
\(54\) | −0.987156 | − | 1.01268i | −0.134335 | − | 0.137808i | ||||
\(55\) | −2.26503 | + | 4.95972i | −0.305417 | + | 0.668769i | ||||
\(56\) | −9.54793 | + | 6.59269i | −1.27590 | + | 0.880986i | ||||
\(57\) | 2.02157 | + | 2.33302i | 0.267764 | + | 0.309016i | ||||
\(58\) | 4.55602 | + | 8.60296i | 0.598234 | + | 1.12962i | ||||
\(59\) | −2.65301 | + | 9.03534i | −0.345393 | + | 1.17630i | 0.585397 | + | 0.810747i | \(0.300939\pi\) |
−0.930790 | + | 0.365554i | \(0.880880\pi\) | |||||||
\(60\) | 3.75759 | − | 3.09164i | 0.485103 | − | 0.399130i | ||||
\(61\) | −3.08448 | + | 4.79955i | −0.394928 | + | 0.614519i | −0.980598 | − | 0.196030i | \(-0.937195\pi\) |
0.585670 | + | 0.810549i | \(0.300831\pi\) | |||||||
\(62\) | −0.0879405 | − | 1.49802i | −0.0111685 | − | 0.190248i | ||||
\(63\) | 0.583809 | − | 4.06048i | 0.0735530 | − | 0.511572i | ||||
\(64\) | 6.42905 | − | 4.76101i | 0.803632 | − | 0.595127i | ||||
\(65\) | 0.450795 | + | 3.13535i | 0.0559143 | + | 0.388892i | ||||
\(66\) | −1.06958 | − | 2.98339i | −0.131656 | − | 0.367230i | ||||
\(67\) | 3.69443 | + | 3.20124i | 0.451346 | + | 0.391094i | 0.850656 | − | 0.525722i | \(-0.176205\pi\) |
−0.399310 | + | 0.916816i | \(0.630750\pi\) | |||||||
\(68\) | −4.12727 | − | 2.01371i | −0.500505 | − | 0.244198i | ||||
\(69\) | 4.05687 | + | 2.55770i | 0.488389 | + | 0.307911i | ||||
\(70\) | 13.7528 | + | 3.17610i | 1.64378 | + | 0.379616i | ||||
\(71\) | −3.08398 | + | 3.55910i | −0.366001 | + | 0.422387i | −0.908641 | − | 0.417578i | \(-0.862879\pi\) |
0.542641 | + | 0.839965i | \(0.317425\pi\) | |||||||
\(72\) | −0.309621 | + | 2.81143i | −0.0364892 | + | 0.331330i | ||||
\(73\) | −1.00106 | − | 6.96251i | −0.117165 | − | 0.814900i | −0.960653 | − | 0.277752i | \(-0.910411\pi\) |
0.843488 | − | 0.537148i | \(-0.180498\pi\) | |||||||
\(74\) | −0.506962 | − | 2.48259i | −0.0589331 | − | 0.288595i | ||||
\(75\) | −0.910084 | − | 0.130850i | −0.105087 | − | 0.0151093i | ||||
\(76\) | 1.03434 | − | 6.08679i | 0.118647 | − | 0.698203i | ||||
\(77\) | 4.97028 | − | 7.73390i | 0.566416 | − | 0.881360i | ||||
\(78\) | −1.45976 | − | 1.12212i | −0.165286 | − | 0.127055i | ||||
\(79\) | −2.34151 | − | 0.687529i | −0.263440 | − | 0.0773530i | 0.147345 | − | 0.989085i | \(-0.452927\pi\) |
−0.410785 | + | 0.911732i | \(0.634745\pi\) | |||||||
\(80\) | −9.54968 | − | 1.87474i | −1.06769 | − | 0.209603i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 8.20151 | − | 14.5746i | 0.905705 | − | 1.60950i | ||||
\(83\) | 6.16808 | + | 2.81687i | 0.677035 | + | 0.309191i | 0.724095 | − | 0.689701i | \(-0.242258\pi\) |
−0.0470598 | + | 0.998892i | \(0.514985\pi\) | |||||||
\(84\) | −7.01300 | + | 4.25807i | −0.765181 | + | 0.464593i | ||||
\(85\) | 1.57391 | + | 5.36024i | 0.170714 | + | 0.581399i | ||||
\(86\) | −1.45543 | + | 3.75508i | −0.156943 | + | 0.404921i | ||||
\(87\) | 2.85955 | + | 6.26155i | 0.306576 | + | 0.671309i | ||||
\(88\) | −3.24851 | + | 5.44294i | −0.346293 | + | 0.580219i | ||||
\(89\) | 0.684426 | − | 0.439854i | 0.0725490 | − | 0.0466244i | −0.503863 | − | 0.863783i | \(-0.668089\pi\) |
0.576413 | + | 0.817159i | \(0.304452\pi\) | |||||||
\(90\) | 2.78057 | − | 2.02665i | 0.293098 | − | 0.213628i | ||||
\(91\) | − | 5.34083i | − | 0.559872i | ||||||
\(92\) | −1.20494 | − | 9.51568i | −0.125624 | − | 0.992078i | ||||
\(93\) | − | 1.06108i | − | 0.110029i | ||||||
\(94\) | −7.99719 | − | 10.9721i | −0.824848 | − | 1.13169i | ||||
\(95\) | −6.31840 | + | 4.06059i | −0.648255 | + | 0.416608i | ||||
\(96\) | 4.73551 | − | 3.09435i | 0.483316 | − | 0.315815i | ||||
\(97\) | −3.23759 | − | 7.08933i | −0.328727 | − | 0.719812i | 0.671039 | − | 0.741422i | \(-0.265848\pi\) |
−0.999766 | + | 0.0216097i | \(0.993121\pi\) | |||||||
\(98\) | −12.9599 | − | 5.02313i | −1.30915 | − | 0.507412i | ||||
\(99\) | −0.631376 | − | 2.15027i | −0.0634557 | − | 0.216110i | ||||
\(100\) | 0.954370 | + | 1.57184i | 0.0954370 | + | 0.157184i | ||||
\(101\) | −13.1635 | − | 6.01159i | −1.30982 | − | 0.598176i | −0.366612 | − | 0.930374i | \(-0.619482\pi\) |
−0.943210 | + | 0.332198i | \(0.892210\pi\) | |||||||
\(102\) | −2.82996 | − | 1.59249i | −0.280207 | − | 0.157680i | ||||
\(103\) | −12.6318 | − | 14.5779i | −1.24465 | − | 1.43640i | −0.857578 | − | 0.514354i | \(-0.828032\pi\) |
−0.387073 | − | 0.922049i | \(-0.626514\pi\) | |||||||
\(104\) | 0.121912 | + | 3.68041i | 0.0119544 | + | 0.360893i | ||||
\(105\) | 9.57640 | + | 2.81189i | 0.934561 | + | 0.274412i | ||||
\(106\) | −7.87041 | + | 10.2386i | −0.764442 | + | 0.994463i | ||||
\(107\) | 3.82150 | − | 5.94636i | 0.369438 | − | 0.574857i | −0.605909 | − | 0.795534i | \(-0.707190\pi\) |
0.975347 | + | 0.220677i | \(0.0708268\pi\) | |||||||
\(108\) | −0.335062 | + | 1.97173i | −0.0322413 | + | 0.189730i | ||||
\(109\) | −18.5801 | − | 2.67141i | −1.77965 | − | 0.255875i | −0.827491 | − | 0.561480i | \(-0.810232\pi\) |
−0.952158 | + | 0.305605i | \(0.901141\pi\) | |||||||
\(110\) | 7.55502 | − | 1.54278i | 0.720342 | − | 0.147099i | ||||
\(111\) | −0.254983 | − | 1.77345i | −0.0242020 | − | 0.168328i | ||||
\(112\) | 15.4878 | + | 5.42030i | 1.46346 | + | 0.512170i | ||||
\(113\) | −5.26304 | + | 6.07387i | −0.495105 | + | 0.571382i | −0.947223 | − | 0.320577i | \(-0.896123\pi\) |
0.452118 | + | 0.891958i | \(0.350669\pi\) | |||||||
\(114\) | 0.982366 | − | 4.25375i | 0.0920070 | − | 0.398400i | ||||
\(115\) | −7.56421 | + | 8.88425i | −0.705366 | + | 0.828461i | ||||
\(116\) | 6.03686 | − | 12.3731i | 0.560509 | − | 1.14881i | ||||
\(117\) | −0.983936 | − | 0.852585i | −0.0909649 | − | 0.0788215i | ||||
\(118\) | 12.5361 | − | 4.49431i | 1.15404 | − | 0.413735i | ||||
\(119\) | −1.34052 | − | 9.32350i | −0.122885 | − | 0.854684i | ||||
\(120\) | −6.66335 | − | 1.71910i | −0.608278 | − | 0.156931i | ||||
\(121\) | −0.850715 | + | 5.91685i | −0.0773378 | + | 0.537896i | ||||
\(122\) | 8.05455 | − | 0.472840i | 0.729225 | − | 0.0428089i | ||||
\(123\) | 6.39333 | − | 9.94822i | 0.576468 | − | 0.897001i | ||||
\(124\) | −1.63877 | + | 1.34833i | −0.147166 | + | 0.121084i | ||||
\(125\) | −2.79703 | + | 9.52581i | −0.250174 | + | 0.852014i | ||||
\(126\) | −5.12686 | + | 2.71512i | −0.456737 | + | 0.241882i | ||||
\(127\) | −5.09184 | − | 5.87630i | −0.451828 | − | 0.521437i | 0.483440 | − | 0.875377i | \(-0.339387\pi\) |
−0.935268 | + | 0.353940i | \(0.884842\pi\) | |||||||
\(128\) | −10.7965 | − | 3.38164i | −0.954285 | − | 0.298897i | ||||
\(129\) | −1.18298 | + | 2.59037i | −0.104156 | + | 0.228069i | ||||
\(130\) | 3.20776 | − | 3.12691i | 0.281339 | − | 0.274248i | ||||
\(131\) | 1.47564 | + | 5.02557i | 0.128927 | + | 0.439086i | 0.998502 | − | 0.0547154i | \(-0.0174251\pi\) |
−0.869575 | + | 0.493801i | \(0.835607\pi\) | |||||||
\(132\) | −2.51865 | + | 3.70751i | −0.219220 | + | 0.322697i | ||||
\(133\) | 11.5193 | − | 5.26069i | 0.998850 | − | 0.456160i | ||||
\(134\) | 0.581151 | − | 6.88881i | 0.0502038 | − | 0.595103i | ||||
\(135\) | 2.04676 | − | 1.31537i | 0.176157 | − | 0.113209i | ||||
\(136\) | 1.13658 | + | 6.39429i | 0.0974610 | + | 0.548306i | ||||
\(137\) | 21.9774 | 1.87765 | 0.938827 | − | 0.344389i | \(-0.111914\pi\) | ||||
0.938827 | + | 0.344389i | \(0.111914\pi\) | |||||||
\(138\) | −0.456234 | − | 6.76697i | −0.0388373 | − | 0.576043i | ||||
\(139\) | 9.92173i | 0.841550i | 0.907165 | + | 0.420775i | \(0.138242\pi\) | ||||
−0.907165 | + | 0.420775i | \(0.861758\pi\) | |||||||
\(140\) | −7.82614 | − | 18.3632i | −0.661429 | − | 1.55198i | ||||
\(141\) | −5.19048 | − | 8.07654i | −0.437117 | − | 0.680167i | ||||
\(142\) | 6.63647 | + | 0.559863i | 0.556920 | + | 0.0469827i | ||||
\(143\) | −1.21205 | − | 2.65403i | −0.101357 | − | 0.221941i | ||||
\(144\) | 3.47098 | − | 1.98804i | 0.289248 | − | 0.165670i | ||||
\(145\) | −16.0694 | + | 4.71839i | −1.33449 | + | 0.391841i | ||||
\(146\) | −7.12331 | + | 6.94377i | −0.589529 | + | 0.574670i | ||||
\(147\) | −8.94015 | − | 4.08283i | −0.737371 | − | 0.336746i | ||||
\(148\) | −2.41496 | + | 2.64736i | −0.198509 | + | 0.217612i | ||||
\(149\) | 1.10129 | − | 0.954277i | 0.0902215 | − | 0.0781774i | −0.608582 | − | 0.793491i | \(-0.708261\pi\) |
0.698804 | + | 0.715313i | \(0.253716\pi\) | |||||||
\(150\) | 0.608546 | + | 1.14910i | 0.0496876 | + | 0.0938232i | ||||
\(151\) | −17.2379 | − | 5.06149i | −1.40280 | − | 0.411899i | −0.509154 | − | 0.860676i | \(-0.670042\pi\) |
−0.893644 | + | 0.448777i | \(0.851860\pi\) | |||||||
\(152\) | −7.81795 | + | 3.88812i | −0.634119 | + | 0.315368i | ||||
\(153\) | −1.93165 | − | 1.24140i | −0.156165 | − | 0.100361i | ||||
\(154\) | −12.9790 | + | 0.761925i | −1.04587 | + | 0.0613976i | ||||
\(155\) | 2.55532 | + | 0.367400i | 0.205248 | + | 0.0295103i | ||||
\(156\) | −0.0664564 | + | 2.60302i | −0.00532077 | + | 0.208408i | ||||
\(157\) | −5.27901 | + | 0.759007i | −0.421311 | + | 0.0605753i | −0.349710 | − | 0.936858i | \(-0.613720\pi\) |
−0.0716007 | + | 0.997433i | \(0.522811\pi\) | |||||||
\(158\) | 1.16470 | + | 3.24872i | 0.0926586 | + | 0.258454i | ||||
\(159\) | −5.97993 | + | 6.90121i | −0.474240 | + | 0.547302i | ||||
\(160\) | 5.81221 | + | 12.4756i | 0.459496 | + | 0.986282i | ||||
\(161\) | 14.7559 | − | 13.0121i | 1.16293 | − | 1.02550i | ||||
\(162\) | −0.318224 | + | 1.37795i | −0.0250021 | + | 0.108262i | ||||
\(163\) | −11.4793 | − | 9.94691i | −0.899132 | − | 0.779102i | 0.0768301 | − | 0.997044i | \(-0.475520\pi\) |
−0.975962 | + | 0.217942i | \(0.930066\pi\) | |||||||
\(164\) | −23.4885 | + | 2.76730i | −1.83414 | + | 0.216090i | ||||
\(165\) | 5.39695 | − | 0.775965i | 0.420152 | − | 0.0604088i | ||||
\(166\) | −1.91866 | − | 9.39567i | −0.148917 | − | 0.729246i | ||||
\(167\) | −0.249174 | + | 1.73304i | −0.0192817 | + | 0.134107i | −0.997188 | − | 0.0749344i | \(-0.976125\pi\) |
0.977907 | + | 0.209041i | \(0.0670343\pi\) | |||||||
\(168\) | 10.7081 | + | 4.46795i | 0.826150 | + | 0.344710i | ||||
\(169\) | 9.51035 | + | 6.11193i | 0.731565 | + | 0.470148i | ||||
\(170\) | 4.81495 | − | 6.26377i | 0.369290 | − | 0.480410i | ||||
\(171\) | 0.869715 | − | 2.96198i | 0.0665088 | − | 0.226508i | ||||
\(172\) | 5.50388 | − | 1.46459i | 0.419667 | − | 0.111674i | ||||
\(173\) | 5.76207 | − | 4.99286i | 0.438082 | − | 0.379600i | −0.407711 | − | 0.913111i | \(-0.633673\pi\) |
0.845793 | + | 0.533511i | \(0.179128\pi\) | |||||||
\(174\) | 4.77410 | − | 8.48388i | 0.361924 | − | 0.643161i | ||||
\(175\) | −1.56685 | + | 3.43092i | −0.118443 | + | 0.259353i | ||||
\(176\) | 8.92649 | − | 0.821309i | 0.672860 | − | 0.0619085i | ||||
\(177\) | 9.03534 | − | 2.65301i | 0.679138 | − | 0.199413i | ||||
\(178\) | −1.07281 | − | 0.415810i | −0.0804106 | − | 0.0311663i | ||||
\(179\) | −11.4817 | + | 5.24351i | −0.858181 | + | 0.391918i | −0.795382 | − | 0.606108i | \(-0.792730\pi\) |
−0.0627989 | + | 0.998026i | \(0.520003\pi\) | |||||||
\(180\) | −4.63237 | − | 1.48962i | −0.345276 | − | 0.111030i | ||||
\(181\) | 5.89498 | + | 9.17277i | 0.438171 | + | 0.681807i | 0.988171 | − | 0.153358i | \(-0.0490087\pi\) |
−0.550000 | + | 0.835165i | \(0.685372\pi\) | |||||||
\(182\) | −6.10383 | + | 4.44886i | −0.452446 | + | 0.329771i | ||||
\(183\) | 5.70523 | 0.421743 | ||||||||
\(184\) | −9.87139 | + | 9.30353i | −0.727728 | + | 0.685865i | ||||
\(185\) | 4.35915 | 0.320491 | ||||||||
\(186\) | −1.21267 | + | 0.883869i | −0.0889170 | + | 0.0648084i | ||||
\(187\) | −2.78203 | − | 4.32892i | −0.203442 | − | 0.316562i | ||||
\(188\) | −5.87805 | + | 18.2793i | −0.428701 | + | 1.33316i | ||||
\(189\) | −3.73152 | + | 1.70413i | −0.271428 | + | 0.123957i | ||||
\(190\) | 9.90385 | + | 3.83862i | 0.718501 | + | 0.278483i | ||||
\(191\) | 15.5097 | − | 4.55406i | 1.12224 | − | 0.329520i | 0.332588 | − | 0.943072i | \(-0.392078\pi\) |
0.789654 | + | 0.613552i | \(0.210260\pi\) | |||||||
\(192\) | −7.48103 | − | 2.83447i | −0.539897 | − | 0.204560i | ||||
\(193\) | 0.999226 | − | 2.18800i | 0.0719258 | − | 0.157496i | −0.870254 | − | 0.492603i | \(-0.836045\pi\) |
0.942180 | + | 0.335108i | \(0.108773\pi\) | |||||||
\(194\) | −5.40523 | + | 9.60544i | −0.388073 | + | 0.689630i | ||||
\(195\) | 2.39391 | − | 2.07433i | 0.171431 | − | 0.148546i | ||||
\(196\) | 5.05475 | + | 18.9956i | 0.361054 | + | 1.35683i | ||||
\(197\) | 0.190526 | − | 0.648870i | 0.0135744 | − | 0.0462301i | −0.952427 | − | 0.304766i | \(-0.901422\pi\) |
0.966002 | + | 0.258536i | \(0.0832400\pi\) | |||||||
\(198\) | −1.93153 | + | 2.51273i | −0.137268 | + | 0.178572i | ||||
\(199\) | −17.2058 | − | 11.0575i | −1.21968 | − | 0.783843i | −0.237431 | − | 0.971404i | \(-0.576305\pi\) |
−0.982253 | + | 0.187561i | \(0.939942\pi\) | |||||||
\(200\) | 1.00141 | − | 2.40004i | 0.0708104 | − | 0.169708i | ||||
\(201\) | 0.695696 | − | 4.83867i | 0.0490706 | − | 0.341294i | ||||
\(202\) | 4.09469 | + | 20.0517i | 0.288101 | + | 1.41083i | ||||
\(203\) | 27.9507 | − | 4.01871i | 1.96176 | − | 0.282058i | ||||
\(204\) | 0.537329 | + | 4.56077i | 0.0376205 | + | 0.319318i | ||||
\(205\) | 21.7439 | + | 18.8412i | 1.51866 | + | 1.31592i | ||||
\(206\) | −6.13833 | + | 26.5796i | −0.427678 | + | 1.85189i | ||||
\(207\) | −0.0416349 | − | 4.79565i | −0.00289383 | − | 0.333321i | ||||
\(208\) | 4.10464 | − | 3.20507i | 0.284605 | − | 0.222231i | ||||
\(209\) | 4.53044 | − | 5.22841i | 0.313377 | − | 0.361656i | ||||
\(210\) | −4.76345 | − | 13.2868i | −0.328709 | − | 0.916874i | ||||
\(211\) | 27.8611 | − | 4.00582i | 1.91804 | − | 0.275772i | 0.923793 | − | 0.382893i | \(-0.125072\pi\) |
0.994246 | + | 0.107121i | \(0.0341632\pi\) | |||||||
\(212\) | 18.2573 | + | 0.466118i | 1.25391 | + | 0.0320131i | ||||
\(213\) | 4.66143 | + | 0.670212i | 0.319396 | + | 0.0459222i | ||||
\(214\) | −9.97913 | + | 0.585821i | −0.682159 | + | 0.0400459i | ||||
\(215\) | −5.82858 | − | 3.74580i | −0.397506 | − | 0.255461i | ||||
\(216\) | 2.53252 | − | 1.25950i | 0.172316 | − | 0.0856984i | ||||
\(217\) | −4.17648 | − | 1.22633i | −0.283518 | − | 0.0832484i | ||||
\(218\) | 12.4240 | + | 23.4597i | 0.841456 | + | 1.58889i | ||||
\(219\) | −5.31602 | + | 4.60636i | −0.359224 | + | 0.311269i | ||||
\(220\) | −8.05643 | − | 7.34920i | −0.543164 | − | 0.495483i | ||||
\(221\) | −2.71929 | − | 1.24186i | −0.182920 | − | 0.0835366i | ||||
\(222\) | −1.81441 | + | 1.76867i | −0.121775 | + | 0.118706i | ||||
\(223\) | 19.7087 | − | 5.78699i | 1.31979 | − | 0.387525i | 0.455373 | − | 0.890301i | \(-0.349506\pi\) |
0.864417 | + | 0.502775i | \(0.167688\pi\) | |||||||
\(224\) | −6.70656 | − | 22.2155i | −0.448101 | − | 1.48434i | ||||
\(225\) | 0.381950 | + | 0.836354i | 0.0254633 | + | 0.0557569i | ||||
\(226\) | 11.3256 | + | 0.955449i | 0.753370 | + | 0.0635555i | ||||
\(227\) | −10.1761 | − | 15.8343i | −0.675409 | − | 1.05096i | −0.994652 | − | 0.103284i | \(-0.967065\pi\) |
0.319243 | − | 0.947673i | \(-0.396571\pi\) | |||||||
\(228\) | −5.67974 | + | 2.42062i | −0.376150 | + | 0.160310i | ||||
\(229\) | − | 23.6800i | − | 1.56482i | −0.622763 | − | 0.782411i | \(-0.713990\pi\) | ||
0.622763 | − | 0.782411i | \(-0.286010\pi\) | |||||||
\(230\) | 16.4544 | + | 1.24435i | 1.08497 | + | 0.0820501i | ||||
\(231\) | −9.19330 | −0.604875 | ||||||||
\(232\) | −19.1693 | + | 3.40733i | −1.25853 | + | 0.223702i | ||||
\(233\) | −20.1852 | + | 12.9722i | −1.32238 | + | 0.849840i | −0.995457 | − | 0.0952121i | \(-0.969647\pi\) |
−0.326920 | + | 0.945052i | \(0.606011\pi\) | |||||||
\(234\) | −0.154778 | + | 1.83469i | −0.0101181 | + | 0.119938i | ||||
\(235\) | 21.2473 | − | 9.70333i | 1.38602 | − | 0.632976i | ||||
\(236\) | −15.5788 | − | 10.5832i | −1.01409 | − | 0.688911i | ||||
\(237\) | 0.687529 | + | 2.34151i | 0.0446598 | + | 0.152097i | ||||
\(238\) | −9.53882 | + | 9.29840i | −0.618310 | + | 0.602725i | ||||
\(239\) | −5.57717 | + | 12.2123i | −0.360757 | + | 0.789948i | 0.639027 | + | 0.769184i | \(0.279337\pi\) |
−0.999784 | + | 0.0207641i | \(0.993390\pi\) | |||||||
\(240\) | 3.58581 | + | 9.04727i | 0.231463 | + | 0.583999i | ||||
\(241\) | 8.15906 | + | 9.41605i | 0.525571 | + | 0.606541i | 0.955017 | − | 0.296551i | \(-0.0958366\pi\) |
−0.429446 | + | 0.903093i | \(0.641291\pi\) | |||||||
\(242\) | 7.47077 | − | 3.95643i | 0.480240 | − | 0.254329i | ||||
\(243\) | −0.281733 | + | 0.959493i | −0.0180732 | + | 0.0615515i | ||||
\(244\) | −7.24974 | − | 8.81136i | −0.464117 | − | 0.564089i | ||||
\(245\) | 12.9279 | − | 20.1162i | 0.825934 | − | 1.28518i | ||||
\(246\) | −16.6950 | + | 0.980074i | −1.06443 | + | 0.0624873i | ||||
\(247\) | 0.571978 | − | 3.97819i | 0.0363941 | − | 0.253126i | ||||
\(248\) | 2.90603 | + | 0.749736i | 0.184533 | + | 0.0476083i | ||||
\(249\) | −0.965016 | − | 6.71183i | −0.0611554 | − | 0.425345i | ||||
\(250\) | 13.2166 | − | 4.73828i | 0.835888 | − | 0.299675i | ||||
\(251\) | 14.4208 | + | 12.4957i | 0.910230 | + | 0.788719i | 0.977918 | − | 0.208987i | \(-0.0670168\pi\) |
−0.0676879 | + | 0.997707i | \(0.521562\pi\) | |||||||
\(252\) | 7.37363 | + | 3.59762i | 0.464495 | + | 0.226629i | ||||
\(253\) | 4.37971 | − | 9.81484i | 0.275350 | − | 0.617054i | ||||
\(254\) | −2.47434 | + | 10.7142i | −0.155254 | + | 0.672266i | ||||
\(255\) | 3.65840 | − | 4.22202i | 0.229098 | − | 0.264393i | ||||
\(256\) | 5.12863 | + | 15.1558i | 0.320540 | + | 0.947235i | ||||
\(257\) | −2.99698 | − | 20.8444i | −0.186946 | − | 1.30024i | −0.839858 | − | 0.542806i | \(-0.817362\pi\) |
0.652912 | − | 0.757434i | \(-0.273547\pi\) | |||||||
\(258\) | 3.94584 | − | 0.805766i | 0.245657 | − | 0.0501648i | ||||
\(259\) | −7.27510 | − | 1.04600i | −0.452053 | − | 0.0649954i | ||||
\(260\) | −6.24565 | − | 1.06134i | −0.387339 | − | 0.0658214i | ||||
\(261\) | 3.72156 | − | 5.79086i | 0.230359 | − | 0.358445i | ||||
\(262\) | 4.51433 | − | 5.87270i | 0.278896 | − | 0.362816i | ||||
\(263\) | 25.9453 | + | 7.61823i | 1.59986 | + | 0.469760i | 0.955506 | − | 0.294971i | \(-0.0953099\pi\) |
0.644350 | + | 0.764731i | \(0.277128\pi\) | |||||||
\(264\) | 6.33517 | − | 0.209849i | 0.389903 | − | 0.0129153i | ||||
\(265\) | −14.5491 | − | 16.7906i | −0.893745 | − | 1.03144i | ||||
\(266\) | −15.6077 | − | 8.78285i | −0.956968 | − | 0.538511i | ||||
\(267\) | −0.740058 | − | 0.337973i | −0.0452908 | − | 0.0206836i | ||||
\(268\) | −8.35704 | + | 5.07413i | −0.510488 | + | 0.309952i | ||||
\(269\) | 4.72890 | + | 16.1052i | 0.288326 | + | 0.981949i | 0.968524 | + | 0.248920i | \(0.0800757\pi\) |
−0.680198 | + | 0.733029i | \(0.738106\pi\) | |||||||
\(270\) | −3.20822 | − | 1.24347i | −0.195246 | − | 0.0756752i | ||||
\(271\) | 7.91541 | + | 17.3323i | 0.480827 | + | 1.05286i | 0.982235 | + | 0.187653i | \(0.0600882\pi\) |
−0.501408 | + | 0.865211i | \(0.667185\pi\) | |||||||
\(272\) | 6.36102 | − | 6.62532i | 0.385693 | − | 0.401719i | ||||
\(273\) | −4.49300 | + | 2.88747i | −0.271928 | + | 0.174758i | ||||
\(274\) | −18.3069 | − | 25.1171i | −1.10596 | − | 1.51738i | ||||
\(275\) | 2.06052i | 0.124254i | ||||||||
\(276\) | −7.35366 | + | 6.15822i | −0.442638 | + | 0.370681i | ||||
\(277\) | 32.0448i | 1.92539i | 0.270592 | + | 0.962694i | \(0.412781\pi\) | ||||
−0.270592 | + | 0.962694i | \(0.587219\pi\) | |||||||
\(278\) | 11.3392 | − | 8.26470i | 0.680077 | − | 0.495684i | ||||
\(279\) | −0.892638 | + | 0.573664i | −0.0534408 | + | 0.0343443i | ||||
\(280\) | −14.4675 | + | 24.2406i | −0.864600 | + | 1.44865i | ||||
\(281\) | −3.01755 | − | 6.60751i | −0.180012 | − | 0.394171i | 0.798019 | − | 0.602633i | \(-0.205882\pi\) |
−0.978031 | + | 0.208462i | \(0.933154\pi\) | |||||||
\(282\) | −4.90674 | + | 12.6597i | −0.292192 | + | 0.753871i | ||||
\(283\) | −2.45945 | − | 8.37613i | −0.146199 | − | 0.497909i | 0.853533 | − | 0.521039i | \(-0.174455\pi\) |
−0.999732 | + | 0.0231292i | \(0.992637\pi\) | |||||||
\(284\) | −4.88826 | − | 8.05092i | −0.290065 | − | 0.477734i | ||||
\(285\) | 6.83197 | + | 3.12006i | 0.404691 | + | 0.184816i | ||||
\(286\) | −2.02356 | + | 3.59599i | −0.119655 | + | 0.212635i | ||||
\(287\) | −31.7679 | − | 36.6621i | −1.87520 | − | 2.16409i | ||||
\(288\) | −5.16334 | − | 2.31083i | −0.304253 | − | 0.136167i | ||||
\(289\) | 11.2526 | + | 3.30406i | 0.661918 | + | 0.194357i | ||||
\(290\) | 18.7781 | + | 14.4347i | 1.10269 | + | 0.847632i | ||||
\(291\) | −4.21355 | + | 6.55641i | −0.247003 | + | 0.384344i | ||||
\(292\) | 13.8694 | + | 2.35686i | 0.811645 | + | 0.137925i | ||||
\(293\) | 0.907285 | + | 0.130448i | 0.0530042 | + | 0.00762085i | 0.168766 | − | 0.985656i | \(-0.446022\pi\) |
−0.115762 | + | 0.993277i | \(0.536931\pi\) | |||||||
\(294\) | 2.78094 | + | 13.6183i | 0.162188 | + | 0.794235i | ||||
\(295\) | 3.26057 | + | 22.6777i | 0.189838 | + | 1.32035i | ||||
\(296\) | 5.03720 | + | 0.554743i | 0.292781 | + | 0.0322438i | ||||
\(297\) | −1.46758 | + | 1.69367i | −0.0851573 | + | 0.0982768i | ||||
\(298\) | −2.00797 | − | 0.463723i | −0.116319 | − | 0.0268627i | ||||
\(299\) | −0.942214 | − | 6.17235i | −0.0544896 | − | 0.356956i | ||||
\(300\) | 0.806343 | − | 1.65267i | 0.0465542 | − | 0.0954168i | ||||
\(301\) | 8.82864 | + | 7.65006i | 0.508874 | + | 0.440942i | ||||
\(302\) | 8.57438 | + | 23.9166i | 0.493400 | + | 1.37625i | ||||
\(303\) | 2.05948 | + | 14.3240i | 0.118314 | + | 0.822892i | ||||
\(304\) | 10.9558 | + | 5.69606i | 0.628361 | + | 0.326691i | ||||
\(305\) | −1.97544 | + | 13.7395i | −0.113113 | + | 0.786721i | ||||
\(306\) | 0.190301 | + | 3.24168i | 0.0108788 | + | 0.185314i | ||||
\(307\) | −14.5006 | + | 22.5634i | −0.827593 | + | 1.28776i | 0.127614 | + | 0.991824i | \(0.459268\pi\) |
−0.955208 | + | 0.295937i | \(0.904368\pi\) | |||||||
\(308\) | 11.6821 | + | 14.1985i | 0.665649 | + | 0.809032i | ||||
\(309\) | −5.43443 | + | 18.5080i | −0.309154 | + | 1.05288i | ||||
\(310\) | −1.70867 | − | 3.22642i | −0.0970459 | − | 0.183248i | ||||
\(311\) | 14.2318 | + | 16.4244i | 0.807012 | + | 0.931341i | 0.998744 | − | 0.0501060i | \(-0.0159559\pi\) |
−0.191732 | + | 0.981447i | \(0.561410\pi\) | |||||||
\(312\) | 3.03024 | − | 2.09234i | 0.171554 | − | 0.118455i | ||||
\(313\) | −11.1768 | + | 24.4738i | −0.631751 | + | 1.38334i | 0.274905 | + | 0.961471i | \(0.411354\pi\) |
−0.906656 | + | 0.421871i | \(0.861374\pi\) | |||||||
\(314\) | 5.26479 | + | 5.40092i | 0.297109 | + | 0.304792i | ||||
\(315\) | −2.81189 | − | 9.57640i | −0.158432 | − | 0.539569i | ||||
\(316\) | 2.74265 | − | 4.03724i | 0.154286 | − | 0.227112i | ||||
\(317\) | 20.7335 | − | 9.46867i | 1.16451 | − | 0.531814i | 0.263094 | − | 0.964770i | \(-0.415257\pi\) |
0.901415 | + | 0.432957i | \(0.142530\pi\) | |||||||
\(318\) | 12.8683 | + | 1.08559i | 0.721621 | + | 0.0608771i | ||||
\(319\) | 12.9776 | − | 8.34020i | 0.726606 | − | 0.466961i | ||||
\(320\) | 9.41635 | − | 17.0346i | 0.526390 | − | 0.952262i | ||||
\(321\) | −7.06846 | −0.394523 | ||||||||
\(322\) | −27.1625 | − | 6.02504i | −1.51371 | − | 0.335762i | ||||
\(323\) | − | 7.08830i | − | 0.394403i | ||||||
\(324\) | 1.83988 | − | 0.784128i | 0.102215 | − | 0.0435627i | ||||
\(325\) | 0.647176 | + | 1.00702i | 0.0358988 | + | 0.0558597i | ||||
\(326\) | −1.80576 | + | 21.4050i | −0.100012 | + | 1.18551i | ||||
\(327\) | 7.79782 | + | 17.0748i | 0.431220 | + | 0.944240i | ||||
\(328\) | 22.7283 | + | 24.5389i | 1.25496 | + | 1.35494i | ||||
\(329\) | −37.7886 | + | 11.0957i | −2.08335 | + | 0.611727i | ||||
\(330\) | −5.38242 | − | 5.52159i | −0.296293 | − | 0.303954i | ||||
\(331\) | −24.0392 | − | 10.9784i | −1.32132 | − | 0.603425i | −0.375107 | − | 0.926982i | \(-0.622394\pi\) |
−0.946209 | + | 0.323557i | \(0.895121\pi\) | |||||||
\(332\) | −9.13972 | + | 10.0193i | −0.501607 | + | 0.549878i | ||||
\(333\) | −1.35407 | + | 1.17330i | −0.0742023 | + | 0.0642967i | ||||
\(334\) | 2.18819 | − | 1.15884i | 0.119732 | − | 0.0634087i | ||||
\(335\) | 11.4117 | + | 3.35079i | 0.623489 | + | 0.183073i | ||||
\(336\) | −3.81351 | − | 15.9596i | −0.208044 | − | 0.870670i | ||||
\(337\) | −7.07045 | − | 4.54390i | −0.385152 | − | 0.247522i | 0.333709 | − | 0.942676i | \(-0.391700\pi\) |
−0.718861 | + | 0.695154i | \(0.755336\pi\) | |||||||
\(338\) | −0.936936 | − | 15.9602i | −0.0509626 | − | 0.868118i | ||||
\(339\) | 7.95508 | + | 1.14377i | 0.432060 | + | 0.0621209i | ||||
\(340\) | −11.1694 | − | 0.285161i | −0.605747 | − | 0.0154650i | ||||
\(341\) | −2.35373 | + | 0.338415i | −0.127462 | + | 0.0183262i | ||||
\(342\) | −4.10959 | + | 1.47333i | −0.222221 | + | 0.0796687i | ||||
\(343\) | −7.59796 | + | 8.76851i | −0.410251 | + | 0.473455i | ||||
\(344\) | −6.25850 | − | 5.07018i | −0.337436 | − | 0.273366i | ||||
\(345\) | 11.5634 | + | 1.56023i | 0.622554 | + | 0.0840000i | ||||
\(346\) | −10.5059 | − | 2.42624i | −0.564800 | − | 0.130435i | ||||
\(347\) | 14.3738 | + | 12.4549i | 0.771624 | + | 0.668616i | 0.948911 | − | 0.315543i | \(-0.102187\pi\) |
−0.177288 | + | 0.984159i | \(0.556732\pi\) | |||||||
\(348\) | −13.6727 | + | 1.61085i | −0.732931 | + | 0.0863505i | ||||
\(349\) | −4.55198 | + | 0.654475i | −0.243662 | + | 0.0350333i | −0.263064 | − | 0.964779i | \(-0.584733\pi\) |
0.0194019 | + | 0.999812i | \(0.493824\pi\) | |||||||
\(350\) | 5.22623 | − | 1.06723i | 0.279354 | − | 0.0570458i | ||||
\(351\) | −0.185284 | + | 1.28868i | −0.00988975 | + | 0.0687847i | ||||
\(352\) | −8.37431 | − | 9.51759i | −0.446352 | − | 0.507289i | ||||
\(353\) | −28.1268 | − | 18.0760i | −1.49704 | − | 0.962087i | −0.995276 | − | 0.0970809i | \(-0.969049\pi\) |
−0.501761 | − | 0.865006i | \(-0.667314\pi\) | |||||||
\(354\) | −10.5584 | − | 8.11619i | −0.561171 | − | 0.431371i | ||||
\(355\) | −3.22804 | + | 10.9937i | −0.171327 | + | 0.583486i | ||||
\(356\) | 0.418428 | + | 1.57244i | 0.0221766 | + | 0.0833391i | ||||
\(357\) | −7.11869 | + | 6.16838i | −0.376761 | + | 0.326465i | ||||
\(358\) | 15.5567 | + | 8.75417i | 0.822198 | + | 0.462672i | ||||
\(359\) | −7.07317 | + | 15.4881i | −0.373308 | + | 0.817430i | 0.625985 | + | 0.779835i | \(0.284697\pi\) |
−0.999293 | + | 0.0375952i | \(0.988030\pi\) | |||||||
\(360\) | 2.15628 | + | 6.53498i | 0.113646 | + | 0.344424i | ||||
\(361\) | −9.08667 | + | 2.66809i | −0.478246 | + | 0.140426i | ||||
\(362\) | 5.57274 | − | 14.3780i | 0.292897 | − | 0.755689i | ||||
\(363\) | 5.43751 | − | 2.48323i | 0.285395 | − | 0.130336i | ||||
\(364\) | 10.1688 | + | 3.26997i | 0.532992 | + | 0.171393i | ||||
\(365\) | −9.25248 | − | 14.3971i | −0.484297 | − | 0.753581i | ||||
\(366\) | −4.75240 | − | 6.52028i | −0.248412 | − | 0.340821i | ||||
\(367\) | −1.61286 | −0.0841908 | −0.0420954 | − | 0.999114i | \(-0.513403\pi\) | ||||
−0.0420954 | + | 0.999114i | \(0.513403\pi\) | |||||||
\(368\) | 18.8554 | + | 3.53187i | 0.982905 | + | 0.184112i | ||||
\(369\) | −11.8255 | −0.615610 | ||||||||
\(370\) | −3.63113 | − | 4.98190i | −0.188773 | − | 0.258997i | ||||
\(371\) | 20.2524 | + | 31.5134i | 1.05145 | + | 1.63609i | ||||
\(372\) | 2.02028 | + | 0.649656i | 0.104746 | + | 0.0336831i | ||||
\(373\) | 5.73583 | − | 2.61947i | 0.296990 | − | 0.135631i | −0.261347 | − | 0.965245i | \(-0.584167\pi\) |
0.558337 | + | 0.829614i | \(0.311439\pi\) | |||||||
\(374\) | −2.62995 | + | 6.78542i | −0.135992 | + | 0.350866i | ||||
\(375\) | 9.52581 | − | 2.79703i | 0.491910 | − | 0.144438i | ||||
\(376\) | 25.7871 | − | 8.50871i | 1.32987 | − | 0.438803i | ||||
\(377\) | 3.72295 | − | 8.15212i | 0.191742 | − | 0.419856i | ||||
\(378\) | 5.05590 | + | 2.84509i | 0.260047 | + | 0.146335i | ||||
\(379\) | 10.8649 | − | 9.41451i | 0.558094 | − | 0.483591i | −0.329539 | − | 0.944142i | \(-0.606893\pi\) |
0.887633 | + | 0.460551i | \(0.152348\pi\) | |||||||
\(380\) | −3.86279 | − | 14.5162i | −0.198157 | − | 0.744668i | ||||
\(381\) | −2.19060 | + | 7.46049i | −0.112228 | + | 0.382213i | ||||
\(382\) | −18.1240 | − | 13.9319i | −0.927307 | − | 0.712819i | ||||
\(383\) | 13.7064 | + | 8.80859i | 0.700366 | + | 0.450098i | 0.841757 | − | 0.539856i | \(-0.181521\pi\) |
−0.141391 | + | 0.989954i | \(0.545158\pi\) | |||||||
\(384\) | 2.99222 | + | 10.9108i | 0.152696 | + | 0.556792i | ||||
\(385\) | 3.18319 | − | 22.1396i | 0.162230 | − | 1.12834i | ||||
\(386\) | −3.33292 | + | 0.680604i | −0.169641 | + | 0.0346418i | ||||
\(387\) | 2.81872 | − | 0.405271i | 0.143284 | − | 0.0206011i | ||||
\(388\) | 15.4802 | − | 1.82380i | 0.785887 | − | 0.0925895i | ||||
\(389\) | −18.5954 | − | 16.1130i | −0.942824 | − | 0.816961i | 0.0404340 | − | 0.999182i | \(-0.487126\pi\) |
−0.983258 | + | 0.182221i | \(0.941671\pi\) | |||||||
\(390\) | −4.36477 | − | 1.00800i | −0.221019 | − | 0.0510423i | ||||
\(391\) | −3.19405 | − | 10.5386i | −0.161530 | − | 0.532959i | ||||
\(392\) | 17.4988 | − | 21.6000i | 0.883821 | − | 1.09096i | ||||
\(393\) | 3.42999 | − | 3.95842i | 0.173020 | − | 0.199676i | ||||
\(394\) | −0.900274 | + | 0.322758i | −0.0453551 | + | 0.0162603i | ||||
\(395\) | −5.87694 | + | 0.844976i | −0.295701 | + | 0.0425153i | ||||
\(396\) | 4.48064 | + | 0.114393i | 0.225161 | + | 0.00574847i | ||||
\(397\) | −21.1958 | − | 3.04749i | −1.06379 | − | 0.152949i | −0.411871 | − | 0.911242i | \(-0.635125\pi\) |
−0.651914 | + | 0.758293i | \(0.726034\pi\) | |||||||
\(398\) | 1.69507 | + | 28.8745i | 0.0849661 | + | 1.44735i | ||||
\(399\) | −10.6534 | − | 6.84651i | −0.533336 | − | 0.342754i | ||||
\(400\) | −3.57707 | + | 0.854731i | −0.178853 | + | 0.0427366i | ||||
\(401\) | 0.535562 | + | 0.157255i | 0.0267447 | + | 0.00785296i | 0.295078 | − | 0.955473i | \(-0.404655\pi\) |
−0.268333 | + | 0.963326i | \(0.586473\pi\) | |||||||
\(402\) | −6.10943 | + | 3.23548i | −0.304711 | + | 0.161371i | ||||
\(403\) | −1.04404 | + | 0.904662i | −0.0520071 | + | 0.0450644i | ||||
\(404\) | 19.5054 | − | 21.3825i | 0.970432 | − | 1.06382i | ||||
\(405\) | −2.21313 | − | 1.01070i | −0.109971 | − | 0.0502221i | ||||
\(406\) | −27.8755 | − | 28.5962i | −1.38344 | − | 1.41921i | ||||
\(407\) | −3.85261 | + | 1.13123i | −0.190967 | + | 0.0560729i | ||||
\(408\) | 4.76474 | − | 4.41316i | 0.235890 | − | 0.218484i | ||||
\(409\) | −0.658877 | − | 1.44274i | −0.0325794 | − | 0.0713389i | 0.892643 | − | 0.450765i | \(-0.148849\pi\) |
−0.925222 | + | 0.379426i | \(0.876121\pi\) | |||||||
\(410\) | 3.42042 | − | 40.5447i | 0.168922 | − | 2.00236i | ||||
\(411\) | −11.8819 | − | 18.4885i | −0.586089 | − | 0.911973i | ||||
\(412\) | 35.4900 | − | 15.1253i | 1.74847 | − | 0.745170i | ||||
\(413\) | − | 38.6298i | − | 1.90085i | ||||||
\(414\) | −5.44608 | + | 4.04231i | −0.267660 | + | 0.198669i | ||||
\(415\) | 16.4978 | 0.809843 | ||||||||
\(416\) | −7.08206 | − | 2.02124i | −0.347227 | − | 0.0990995i | ||||
\(417\) | 8.34669 | − | 5.36409i | 0.408739 | − | 0.262681i | ||||
\(418\) | −9.74914 | − | 0.822453i | −0.476846 | − | 0.0402275i | ||||
\(419\) | 2.37247 | − | 1.08347i | 0.115903 | − | 0.0529309i | −0.356620 | − | 0.934250i | \(-0.616071\pi\) |
0.472522 | + | 0.881319i | \(0.343344\pi\) | |||||||
\(420\) | −11.2170 | + | 16.5117i | −0.547334 | + | 0.805688i | ||||
\(421\) | 0.00305699 | + | 0.0104111i | 0.000148988 | + | 0.000507408i | 0.959567 | − | 0.281479i | \(-0.0908249\pi\) |
−0.959418 | + | 0.281986i | \(0.909007\pi\) | |||||||
\(422\) | −27.7861 | − | 28.5046i | −1.35261 | − | 1.38758i | ||||
\(423\) | −3.98823 | + | 8.73301i | −0.193915 | + | 0.424614i | ||||
\(424\) | −14.6754 | − | 21.2538i | −0.712701 | − | 1.03217i | ||||
\(425\) | 1.38253 | + | 1.59553i | 0.0670627 | + | 0.0773944i | ||||
\(426\) | −3.11696 | − | 5.88564i | −0.151017 | − | 0.285160i | ||||
\(427\) | 6.59372 | − | 22.4562i | 0.319093 | − | 1.08673i | ||||
\(428\) | 8.98202 | + | 10.9168i | 0.434162 | + | 0.527682i | ||||
\(429\) | −1.57743 | + | 2.45452i | −0.0761588 | + | 0.118505i | ||||
\(430\) | 0.574217 | + | 9.78146i | 0.0276912 | + | 0.471704i | ||||
\(431\) | 1.19476 | − | 8.30976i | 0.0575497 | − | 0.400267i | −0.940603 | − | 0.339509i | \(-0.889739\pi\) |
0.998153 | − | 0.0607580i | \(-0.0193518\pi\) | |||||||
\(432\) | −3.54900 | − | 1.84516i | −0.170751 | − | 0.0887754i | ||||
\(433\) | 3.32399 | + | 23.1189i | 0.159741 | + | 1.11102i | 0.899111 | + | 0.437722i | \(0.144214\pi\) |
−0.739370 | + | 0.673299i | \(0.764876\pi\) | |||||||
\(434\) | 2.07744 | + | 5.79465i | 0.0997205 | + | 0.278152i | ||||
\(435\) | 12.6571 | + | 10.9674i | 0.606862 | + | 0.525849i | ||||
\(436\) | 16.4621 | − | 33.7405i | 0.788393 | − | 1.61588i | ||||
\(437\) | 12.3847 | − | 8.11193i | 0.592439 | − | 0.388046i | ||||
\(438\) | 9.69262 | + | 2.23842i | 0.463131 | + | 0.106956i | ||||
\(439\) | 21.5360 | − | 24.8539i | 1.02786 | − | 1.18621i | 0.0455439 | − | 0.998962i | \(-0.485498\pi\) |
0.982313 | − | 0.187248i | \(-0.0599566\pi\) | |||||||
\(440\) | −1.68819 | + | 15.3292i | −0.0804814 | + | 0.730790i | ||||
\(441\) | 1.39871 | + | 9.72828i | 0.0666055 | + | 0.463251i | ||||
\(442\) | 0.845870 | + | 4.14223i | 0.0402339 | + | 0.197026i | ||||
\(443\) | 10.3828 | + | 1.49282i | 0.493302 | + | 0.0709262i | 0.384477 | − | 0.923135i | \(-0.374382\pi\) |
0.108826 | + | 0.994061i | \(0.465291\pi\) | |||||||
\(444\) | 3.53273 | + | 0.600325i | 0.167656 | + | 0.0284902i | ||||
\(445\) | 1.07016 | − | 1.66520i | 0.0507305 | − | 0.0789382i | ||||
\(446\) | −23.0308 | − | 17.7038i | −1.09054 | − | 0.838297i | ||||
\(447\) | −1.39819 | − | 0.410547i | −0.0661323 | − | 0.0194182i | ||||
\(448\) | −19.8027 | + | 26.1699i | −0.935590 | + | 1.23641i | ||||
\(449\) | 3.93150 | + | 4.53719i | 0.185539 | + | 0.214123i | 0.840897 | − | 0.541195i | \(-0.182028\pi\) |
−0.655358 | + | 0.755318i | \(0.727482\pi\) | |||||||
\(450\) | 0.637675 | − | 1.13319i | 0.0300603 | − | 0.0534191i | ||||
\(451\) | −24.1066 | − | 11.0091i | −1.13513 | − | 0.518399i | ||||
\(452\) | −8.34219 | − | 13.7395i | −0.392383 | − | 0.646251i | ||||
\(453\) | 5.06149 | + | 17.2379i | 0.237810 | + | 0.809906i | ||||
\(454\) | −9.61979 | + | 24.8196i | −0.451479 | + | 1.16484i | ||||
\(455\) | −5.39798 | − | 11.8199i | −0.253061 | − | 0.554127i | ||||
\(456\) | 7.49760 | + | 4.47480i | 0.351107 | + | 0.209552i | ||||
\(457\) | 13.8460 | − | 8.89831i | 0.647691 | − | 0.416246i | −0.175131 | − | 0.984545i | \(-0.556035\pi\) |
0.822822 | + | 0.568300i | \(0.192399\pi\) | |||||||
\(458\) | −27.0630 | + | 19.7252i | −1.26457 | + | 0.921699i | ||||
\(459\) | 2.29616i | 0.107175i | ||||||||
\(460\) | −12.2842 | − | 19.8416i | −0.572753 | − | 0.925118i | ||||
\(461\) | − | 7.86717i | − | 0.366411i | −0.983075 | − | 0.183205i | \(-0.941353\pi\) | ||
0.983075 | − | 0.183205i | \(-0.0586473\pi\) | |||||||
\(462\) | 7.65792 | + | 10.5067i | 0.356279 | + | 0.488814i | ||||
\(463\) | 1.90156 | − | 1.22206i | 0.0883729 | − | 0.0567938i | −0.495708 | − | 0.868489i | \(-0.665091\pi\) |
0.584081 | + | 0.811695i | \(0.301455\pi\) | |||||||
\(464\) | 19.8619 | + | 19.0696i | 0.922067 | + | 0.885283i | ||||
\(465\) | −1.07244 | − | 2.34831i | −0.0497330 | − | 0.108900i | ||||
\(466\) | 31.6395 | + | 12.2631i | 1.46567 | + | 0.568078i | ||||
\(467\) | 11.0057 | + | 37.4819i | 0.509282 | + | 1.73446i | 0.665179 | + | 0.746684i | \(0.268355\pi\) |
−0.155897 | + | 0.987773i | \(0.549827\pi\) | |||||||
\(468\) | 2.22573 | − | 1.35139i | 0.102884 | − | 0.0624681i | ||||
\(469\) | −18.2413 | − | 8.33051i | −0.842304 | − | 0.384667i | ||||
\(470\) | −28.7883 | − | 16.2000i | −1.32791 | − | 0.747248i | ||||
\(471\) | 3.49256 | + | 4.03063i | 0.160929 | + | 0.185722i | ||||
\(472\) | 0.881776 | + | 26.6201i | 0.0405871 | + | 1.22529i | ||||
\(473\) | 6.12334 | + | 1.79798i | 0.281552 | + | 0.0826710i | ||||
\(474\) | 2.10331 | − | 2.73620i | 0.0966083 | − | 0.125678i | ||||
\(475\) | −1.53452 | + | 2.38776i | −0.0704088 | + | 0.109558i | ||||
\(476\) | 18.5725 | + | 3.15607i | 0.851269 | + | 0.144658i | ||||
\(477\) | 9.03866 | + | 1.29956i | 0.413852 | + | 0.0595029i | ||||
\(478\) | 18.6027 | − | 3.79879i | 0.850867 | − | 0.173753i | ||||
\(479\) | 0.325156 | + | 2.26151i | 0.0148568 | + | 0.103331i | 0.995901 | − | 0.0904553i | \(-0.0288322\pi\) |
−0.981044 | + | 0.193786i | \(0.937923\pi\) | |||||||
\(480\) | 7.35282 | − | 11.6344i | 0.335609 | − | 0.531033i | ||||
\(481\) | −1.52756 | + | 1.76290i | −0.0696509 | + | 0.0803815i | ||||
\(482\) | 3.96483 | − | 17.1681i | 0.180593 | − | 0.781987i | ||||
\(483\) | −18.9241 | − | 5.37861i | −0.861077 | − | 0.244735i | ||||
\(484\) | −10.7447 | − | 5.24239i | −0.488396 | − | 0.238290i | ||||
\(485\) | −14.3304 | − | 12.4173i | −0.650709 | − | 0.563842i | ||||
\(486\) | 1.33125 | − | 0.477266i | 0.0603866 | − | 0.0216492i | ||||
\(487\) | −0.562600 | − | 3.91297i | −0.0254938 | − | 0.177314i | 0.973096 | − | 0.230400i | \(-0.0740033\pi\) |
−0.998590 | + | 0.0530860i | \(0.983094\pi\) | |||||||
\(488\) | −4.03119 | + | 15.6252i | −0.182483 | + | 0.707320i | ||||
\(489\) | −2.16167 | + | 15.0347i | −0.0977541 | + | 0.679895i | ||||
\(490\) | −33.7588 | + | 1.98180i | −1.52507 | + | 0.0895286i | ||||
\(491\) | −3.70299 | + | 5.76196i | −0.167113 | + | 0.260034i | −0.914702 | − | 0.404128i | \(-0.867575\pi\) |
0.747589 | + | 0.664162i | \(0.231211\pi\) | |||||||
\(492\) | 15.0268 | + | 18.2637i | 0.677462 | + | 0.823390i | ||||
\(493\) | 4.45302 | − | 15.1656i | 0.200554 | − | 0.683025i | ||||
\(494\) | −5.02297 | + | 2.66010i | −0.225994 | + | 0.119684i | ||||
\(495\) | −3.57060 | − | 4.12069i | −0.160486 | − | 0.185211i | ||||
\(496\) | −1.56385 | − | 3.94571i | −0.0702190 | − | 0.177168i | ||||
\(497\) | 8.02536 | − | 17.5731i | 0.359987 | − | 0.788261i | ||||
\(498\) | −6.86684 | + | 6.69376i | −0.307710 | + | 0.299955i | ||||
\(499\) | 1.33589 | + | 4.54963i | 0.0598027 | + | 0.203669i | 0.983975 | − | 0.178307i | \(-0.0570619\pi\) |
−0.924172 | + | 0.381976i | \(0.875244\pi\) | |||||||
\(500\) | −16.4244 | − | 11.1577i | −0.734523 | − | 0.498989i | ||||
\(501\) | 1.59264 | − | 0.727336i | 0.0711541 | − | 0.0324950i | ||||
\(502\) | 2.26846 | − | 26.8897i | 0.101246 | − | 1.20014i | ||||
\(503\) | 23.4995 | − | 15.1022i | 1.04779 | − | 0.673373i | 0.100888 | − | 0.994898i | \(-0.467832\pi\) |
0.946901 | + | 0.321525i | \(0.104195\pi\) | |||||||
\(504\) | −2.03057 | − | 11.4238i | −0.0904489 | − | 0.508857i | ||||
\(505\) | −35.2085 | −1.56676 | ||||||||
\(506\) | −14.8652 | + | 3.17026i | −0.660840 | + | 0.140935i | ||||
\(507\) | − | 11.3050i | − | 0.502071i | ||||||
\(508\) | 14.3059 | − | 6.09695i | 0.634720 | − | 0.270508i | ||||
\(509\) | 18.6903 | + | 29.0827i | 0.828433 | + | 1.28907i | 0.954850 | + | 0.297089i | \(0.0960159\pi\) |
−0.126417 | + | 0.991977i | \(0.540348\pi\) | |||||||
\(510\) | −7.87258 | − | 0.664144i | −0.348604 | − | 0.0294088i | ||||
\(511\) | 11.9870 | + | 26.2479i | 0.530275 | + | 1.16114i | ||||
\(512\) | 13.0488 | − | 18.4859i | 0.576682 | − | 0.816969i | ||||
\(513\) | −2.96198 | + | 0.869715i | −0.130775 | + | 0.0383989i | ||||
\(514\) | −21.3258 | + | 20.7883i | −0.940642 | + | 0.916933i | ||||
\(515\) | −42.6897 | − | 19.4957i | −1.88113 | − | 0.859085i | ||||
\(516\) | −4.20772 | − | 3.83834i | −0.185234 | − | 0.168974i | ||||
\(517\) | −16.2603 | + | 14.0896i | −0.715126 | + | 0.619660i | ||||
\(518\) | 4.86465 | + | 9.18573i | 0.213740 | + | 0.403598i | ||||
\(519\) | −7.31547 | − | 2.14802i | −0.321114 | − | 0.0942874i | ||||
\(520\) | 3.98959 | + | 8.02198i | 0.174955 | + | 0.351787i | ||||
\(521\) | 14.9872 | + | 9.63170i | 0.656602 | + | 0.421972i | 0.826073 | − | 0.563563i | \(-0.190570\pi\) |
−0.169471 | + | 0.985535i | \(0.554206\pi\) | |||||||
\(522\) | −9.71816 | + | 0.570501i | −0.425352 | + | 0.0249702i | ||||
\(523\) | 7.89225 | + | 1.13473i | 0.345104 | + | 0.0496185i | 0.312688 | − | 0.949856i | \(-0.398771\pi\) |
0.0324164 | + | 0.999474i | \(0.489680\pi\) | |||||||
\(524\) | −10.4721 | − | 0.267357i | −0.457474 | − | 0.0116795i | ||||
\(525\) | 3.73338 | − | 0.536778i | 0.162938 | − | 0.0234269i | ||||
\(526\) | −12.9056 | − | 35.9978i | −0.562710 | − | 1.56958i | ||||
\(527\) | −1.59551 | + | 1.84132i | −0.0695014 | + | 0.0802089i | ||||
\(528\) | −5.51696 | − | 7.06541i | −0.240095 | − | 0.307483i | ||||
\(529\) | 14.7577 | − | 17.6411i | 0.641640 | − | 0.767006i | ||||
\(530\) | −7.07003 | + | 30.6140i | −0.307102 | + | 1.32979i | ||||
\(531\) | −7.11673 | − | 6.16668i | −0.308840 | − | 0.267611i | ||||
\(532\) | 2.96346 | + | 25.1534i | 0.128482 | + | 1.09054i | ||||
\(533\) | −15.2393 | + | 2.19108i | −0.660086 | + | 0.0949061i | ||||
\(534\) | 0.230204 | + | 1.12731i | 0.00996191 | + | 0.0487835i | ||||
\(535\) | 2.44746 | − | 17.0224i | 0.105813 | − | 0.735944i | ||||
\(536\) | 12.7603 | + | 5.32423i | 0.551163 | + | 0.229972i | ||||
\(537\) | 10.6186 | + | 6.82415i | 0.458226 | + | 0.294484i | ||||
\(538\) | 14.4668 | − | 18.8199i | 0.623709 | − | 0.811383i | ||||
\(539\) | −6.20537 | + | 21.1335i | −0.267284 | + | 0.910286i | ||||
\(540\) | 1.25130 | + | 4.70234i | 0.0538473 | + | 0.202357i | ||||
\(541\) | −5.51427 | + | 4.77814i | −0.237077 | + | 0.205428i | −0.765294 | − | 0.643681i | \(-0.777406\pi\) |
0.528217 | + | 0.849110i | \(0.322861\pi\) | |||||||
\(542\) | 13.2150 | − | 23.4839i | 0.567632 | − | 1.00872i | ||||
\(543\) | 4.52956 | − | 9.91835i | 0.194382 | − | 0.425637i | ||||
\(544\) | −12.8705 | − | 1.75093i | −0.551817 | − | 0.0750705i | ||||
\(545\) | −43.8201 | + | 12.8667i | −1.87705 | + | 0.551150i | ||||
\(546\) | 7.04259 | + | 2.72963i | 0.301395 | + | 0.116817i | ||||
\(547\) | −21.1330 | + | 9.65112i | −0.903583 | + | 0.412652i | −0.812345 | − | 0.583177i | \(-0.801809\pi\) |
−0.0912373 | + | 0.995829i | \(0.529082\pi\) | |||||||
\(548\) | −13.4558 | + | 41.8445i | −0.574805 | + | 1.78751i | ||||
\(549\) | −3.08448 | − | 4.79955i | −0.131643 | − | 0.204840i | ||||
\(550\) | 2.35488 | − | 1.71639i | 0.100412 | − | 0.0731870i | ||||
\(551\) | 21.2499 | 0.905275 | ||||||||
\(552\) | 13.1635 | + | 3.27447i | 0.560276 | + | 0.139371i | ||||
\(553\) | 10.0109 | 0.425708 | ||||||||
\(554\) | 36.6228 | − | 26.6930i | 1.55595 | − | 1.13408i | ||||
\(555\) | −2.35674 | − | 3.66715i | −0.100038 | − | 0.155662i | ||||
\(556\) | −18.8908 | − | 6.07466i | −0.801148 | − | 0.257623i | ||||
\(557\) | −25.2183 | + | 11.5168i | −1.06854 | + | 0.487984i | −0.870478 | − | 0.492207i | \(-0.836190\pi\) |
−0.198057 | + | 0.980190i | \(0.563463\pi\) | |||||||
\(558\) | 1.39917 | + | 0.542305i | 0.0592318 | + | 0.0229576i | ||||
\(559\) | 3.55735 | − | 1.04453i | 0.150460 | − | 0.0441789i | ||||
\(560\) | 39.7549 | − | 3.65777i | 1.67995 | − | 0.154569i | ||||
\(561\) | −2.13764 | + | 4.68079i | −0.0902514 | + | 0.197623i | ||||
\(562\) | −5.03787 | + | 8.95262i | −0.212510 | + | 0.377643i | ||||
\(563\) | −19.9744 | + | 17.3079i | −0.841822 | + | 0.729443i | −0.964805 | − | 0.262966i | \(-0.915299\pi\) |
0.122983 | + | 0.992409i | \(0.460754\pi\) | |||||||
\(564\) | 18.5555 | − | 4.93763i | 0.781327 | − | 0.207912i | ||||
\(565\) | −5.50890 | + | 18.7616i | −0.231761 | + | 0.789306i | ||||
\(566\) | −7.52405 | + | 9.78804i | −0.316259 | + | 0.411422i | ||||
\(567\) | 3.45102 | + | 2.21783i | 0.144929 | + | 0.0931403i | ||||
\(568\) | −5.12920 | + | 12.2929i | −0.215217 | + | 0.515800i | ||||
\(569\) | 4.01178 | − | 27.9025i | 0.168183 | − | 1.16974i | −0.714455 | − | 0.699681i | \(-0.753325\pi\) |
0.882638 | − | 0.470054i | \(-0.155766\pi\) | |||||||
\(570\) | −2.12517 | − | 10.4070i | −0.0890136 | − | 0.435900i | ||||
\(571\) | 8.60671 | − | 1.23746i | 0.360180 | − | 0.0517860i | 0.0401503 | − | 0.999194i | \(-0.487216\pi\) |
0.320029 | + | 0.947408i | \(0.396307\pi\) | |||||||
\(572\) | 5.79531 | − | 0.682776i | 0.242314 | − | 0.0285483i | ||||
\(573\) | −12.2163 | − | 10.5855i | −0.510343 | − | 0.442214i | ||||
\(574\) | −15.4373 | + | 66.8453i | −0.644342 | + | 2.79007i | ||||
\(575\) | −1.20552 | + | 4.24150i | −0.0502737 | + | 0.176883i | ||||
\(576\) | 1.66005 | + | 7.82587i | 0.0691685 | + | 0.326078i | ||||
\(577\) | 20.8755 | − | 24.0916i | 0.869058 | − | 1.00295i | −0.130875 | − | 0.991399i | \(-0.541779\pi\) |
0.999933 | − | 0.0115476i | \(-0.00367579\pi\) | |||||||
\(578\) | −5.59722 | − | 15.6124i | −0.232814 | − | 0.649390i | ||||
\(579\) | −2.38088 | + | 0.342320i | −0.0989462 | + | 0.0142263i | ||||
\(580\) | 0.854879 | − | 33.4846i | 0.0354969 | − | 1.39037i | ||||
\(581\) | −27.5335 | − | 3.95872i | −1.14228 | − | 0.164235i | ||||
\(582\) | 11.0029 | − | 0.645921i | 0.456085 | − | 0.0267743i | ||||
\(583\) | 17.2157 | + | 11.0639i | 0.713003 | + | 0.458219i | ||||
\(584\) | −8.85949 | − | 17.8140i | −0.366608 | − | 0.737149i | ||||
\(585\) | −3.03928 | − | 0.892414i | −0.125659 | − | 0.0368968i | ||||
\(586\) | −0.606675 | − | 1.14556i | −0.0250615 | − | 0.0473227i | ||||
\(587\) | 13.7801 | − | 11.9405i | 0.568764 | − | 0.492837i | −0.322348 | − | 0.946621i | \(-0.604472\pi\) |
0.891111 | + | 0.453785i | \(0.149926\pi\) | |||||||
\(588\) | 13.2473 | − | 14.5221i | 0.546310 | − | 0.598882i | ||||
\(589\) | −2.97957 | − | 1.36073i | −0.122771 | − | 0.0560677i | ||||
\(590\) | 23.2015 | − | 22.6167i | 0.955189 | − | 0.931114i | ||||
\(591\) | −0.648870 | + | 0.190526i | −0.0266910 | + | 0.00783717i | ||||
\(592\) | −3.56194 | − | 6.21891i | −0.146395 | − | 0.255595i | ||||
\(593\) | −1.22548 | − | 2.68342i | −0.0503243 | − | 0.110195i | 0.882800 | − | 0.469750i | \(-0.155656\pi\) |
−0.933124 | + | 0.359555i | \(0.882929\pi\) | |||||||
\(594\) | 3.15810 | + | 0.266423i | 0.129579 | + | 0.0109315i | ||||
\(595\) | −12.3900 | − | 19.2792i | −0.507940 | − | 0.790371i | ||||
\(596\) | 1.14265 | + | 2.68111i | 0.0468047 | + | 0.109822i | ||||
\(597\) | 20.4525i | 0.837066i | ||||||||
\(598\) | −6.26928 | + | 6.21832i | −0.256370 | + | 0.254286i | ||||
\(599\) | 28.8565 | 1.17905 | 0.589523 | − | 0.807751i | \(-0.299316\pi\) | ||||
0.589523 | + | 0.807751i | \(0.299316\pi\) | |||||||
\(600\) | −2.56044 | + | 0.455117i | −0.104530 | + | 0.0185801i | ||||
\(601\) | −4.36646 | + | 2.80615i | −0.178112 | + | 0.114465i | −0.626659 | − | 0.779294i | \(-0.715578\pi\) |
0.448547 | + | 0.893759i | \(0.351942\pi\) | |||||||
\(602\) | 1.38879 | − | 16.4623i | 0.0566027 | − | 0.670954i | ||||
\(603\) | −4.44667 | + | 2.03073i | −0.181082 | + | 0.0826976i | ||||
\(604\) | 20.1910 | − | 29.7216i | 0.821561 | − | 1.20936i | ||||
\(605\) | 4.09743 | + | 13.9546i | 0.166584 | + | 0.567334i | ||||
\(606\) | 14.6548 | − | 14.2854i | 0.595310 | − | 0.580306i | ||||
\(607\) | −17.3865 | + | 38.0711i | −0.705697 | + | 1.54526i | 0.127228 | + | 0.991873i | \(0.459392\pi\) |
−0.832925 | + | 0.553386i | \(0.813335\pi\) | |||||||
\(608\) | −2.61630 | − | 17.2657i | −0.106105 | − | 0.700219i | ||||
\(609\) | −18.4921 | − | 21.3410i | −0.749336 | − | 0.864780i | ||||
\(610\) | 17.3478 | − | 9.18720i | 0.702393 | − | 0.371979i | ||||
\(611\) | −3.52147 | + | 11.9930i | −0.142463 | + | 0.485186i | ||||
\(612\) | 3.54626 | − | 2.91777i | 0.143349 | − | 0.117944i | ||||
\(613\) | −25.5732 | + | 39.7927i | −1.03289 | + | 1.60721i | −0.267598 | + | 0.963531i | \(0.586230\pi\) |
−0.765294 | + | 0.643681i | \(0.777407\pi\) | |||||||
\(614\) | 37.8656 | − | 2.22289i | 1.52813 | − | 0.0897085i | ||||
\(615\) | 4.09458 | − | 28.4784i | 0.165109 | − | 1.14836i | ||||
\(616\) | 6.49578 | − | 25.1782i | 0.261722 | − | 1.01446i | ||||
\(617\) | 0.823648 | + | 5.72860i | 0.0331588 | + | 0.230625i | 0.999661 | − | 0.0260334i | \(-0.00828763\pi\) |
−0.966502 | + | 0.256658i | \(0.917379\pi\) | |||||||
\(618\) | 25.6788 | − | 9.20615i | 1.03295 | − | 0.370326i | ||||
\(619\) | −24.0942 | − | 20.8778i | −0.968429 | − | 0.839149i | 0.0185774 | − | 0.999827i | \(-0.494086\pi\) |
−0.987007 | + | 0.160679i | \(0.948632\pi\) | |||||||
\(620\) | −2.26404 | + | 4.64034i | −0.0909260 | + | 0.186361i | ||||
\(621\) | −4.01185 | + | 2.62775i | −0.160990 | + | 0.105448i | ||||
\(622\) | 6.91583 | − | 29.9463i | 0.277300 | − | 1.20074i | ||||
\(623\) | −2.18559 | + | 2.52231i | −0.0875639 | + | 0.101054i | ||||
\(624\) | −4.91541 | − | 1.72025i | −0.196774 | − | 0.0688652i | ||||
\(625\) | 4.09181 | + | 28.4592i | 0.163673 | + | 1.13837i | ||||
\(626\) | 37.2803 | − | 7.61289i | 1.49002 | − | 0.304272i | ||||
\(627\) | −6.84776 | − | 0.984559i | −0.273473 | − | 0.0393195i | ||||
\(628\) | 1.78698 | − | 10.5158i | 0.0713084 | − | 0.419627i | ||||
\(629\) | −2.22419 | + | 3.46091i | −0.0886844 | + | 0.137996i | ||||
\(630\) | −8.60222 | + | 11.1906i | −0.342721 | + | 0.445846i | ||||
\(631\) | 11.0818 | + | 3.25390i | 0.441158 | + | 0.129536i | 0.494766 | − | 0.869027i | \(-0.335254\pi\) |
−0.0536080 | + | 0.998562i | \(0.517072\pi\) | |||||||
\(632\) | −6.89859 | + | 0.228512i | −0.274411 | + | 0.00908973i | ||||
\(633\) | −18.4328 | − | 21.2726i | −0.732637 | − | 0.845508i | ||||
\(634\) | −28.0921 | − | 15.8082i | −1.11568 | − | 0.627823i | ||||
\(635\) | −17.2081 | − | 7.85866i | −0.682881 | − | 0.311861i | ||||
\(636\) | −9.47850 | − | 15.6110i | −0.375847 | − | 0.619016i | ||||
\(637\) | 3.60500 | + | 12.2775i | 0.142835 | + | 0.486452i | ||||
\(638\) | −20.3419 | − | 7.88429i | −0.805343 | − | 0.312142i | ||||
\(639\) | −1.95634 | − | 4.28379i | −0.0773916 | − | 0.169464i | ||||
\(640\) | −27.3118 | + | 3.42805i | −1.07960 | + | 0.135506i | ||||
\(641\) | −27.2542 | + | 17.5152i | −1.07647 | + | 0.691808i | −0.953740 | − | 0.300631i | \(-0.902803\pi\) |
−0.122734 | + | 0.992440i | \(0.539166\pi\) | |||||||
\(642\) | 5.88795 | + | 8.07826i | 0.232379 | + | 0.318823i | ||||
\(643\) | − | 41.6326i | − | 1.64183i | −0.571052 | − | 0.820914i | \(-0.693465\pi\) | ||
0.571052 | − | 0.820914i | \(-0.306535\pi\) | |||||||
\(644\) | 15.7403 | + | 36.0617i | 0.620254 | + | 1.42103i | ||||
\(645\) | 6.92845i | 0.272807i | ||||||||
\(646\) | −8.10093 | + | 5.90447i | −0.318727 | + | 0.232308i | ||||
\(647\) | −3.74006 | + | 2.40359i | −0.147037 | + | 0.0944950i | −0.612091 | − | 0.790787i | \(-0.709671\pi\) |
0.465054 | + | 0.885282i | \(0.346035\pi\) | |||||||
\(648\) | −2.42874 | − | 1.44955i | −0.0954101 | − | 0.0569437i | ||||
\(649\) | −8.76670 | − | 19.1964i | −0.344123 | − | 0.753524i | ||||
\(650\) | 0.611798 | − | 1.57847i | 0.0239967 | − | 0.0619128i | ||||
\(651\) | 1.22633 | + | 4.17648i | 0.0480635 | + | 0.163689i | ||||
\(652\) | 25.9670 | − | 15.7664i | 1.01695 | − | 0.617458i | ||||
\(653\) | 33.8128 | + | 15.4418i | 1.32320 | + | 0.604285i | 0.946695 | − | 0.322131i | \(-0.104399\pi\) |
0.376503 | + | 0.926415i | \(0.377126\pi\) | |||||||
\(654\) | 13.0187 | − | 23.1350i | 0.509070 | − | 0.904649i | ||||
\(655\) | 8.34512 | + | 9.63079i | 0.326071 | + | 0.376306i | ||||
\(656\) | 9.11214 | − | 46.4159i | 0.355769 | − | 1.81224i | ||||
\(657\) | 6.74918 | + | 1.98174i | 0.263310 | + | 0.0773149i | ||||
\(658\) | 44.1583 | + | 33.9444i | 1.72147 | + | 1.32329i | ||||
\(659\) | −9.24320 | + | 14.3827i | −0.360064 | + | 0.560271i | −0.973273 | − | 0.229650i | \(-0.926242\pi\) |
0.613209 | + | 0.789920i | \(0.289878\pi\) | |||||||
\(660\) | −1.82691 | + | 10.7508i | −0.0711123 | + | 0.418474i | ||||
\(661\) | 14.2935 | + | 2.05509i | 0.555952 | + | 0.0799338i | 0.414564 | − | 0.910020i | \(-0.363934\pi\) |
0.141388 | + | 0.989954i | \(0.454843\pi\) | |||||||
\(662\) | 7.47770 | + | 36.6183i | 0.290629 | + | 1.42321i | ||||
\(663\) | 0.425442 | + | 2.95902i | 0.0165228 | + | 0.114919i | ||||
\(664\) | 19.0639 | + | 2.09949i | 0.739822 | + | 0.0814761i | ||||
\(665\) | 20.1767 | − | 23.2851i | 0.782418 | − | 0.902959i | ||||
\(666\) | 2.46884 | + | 0.570158i | 0.0956658 | + | 0.0220932i | ||||
\(667\) | 31.5934 | − | 9.57537i | 1.22330 | − | 0.370760i | ||||
\(668\) | −3.14712 | − | 1.53549i | −0.121766 | − | 0.0594100i | ||||
\(669\) | −15.5236 | − | 13.4513i | −0.600178 | − | 0.520057i | ||||
\(670\) | −5.67637 | − | 15.8332i | −0.219297 | − | 0.611689i | ||||
\(671\) | −1.81960 | − | 12.6556i | −0.0702447 | − | 0.488563i | ||||
\(672\) | −15.0630 | + | 17.6525i | −0.581069 | + | 0.680961i | ||||
\(673\) | −1.26448 | + | 8.79468i | −0.0487423 | + | 0.339010i | 0.950829 | + | 0.309718i | \(0.100235\pi\) |
−0.999571 | + | 0.0292925i | \(0.990675\pi\) | |||||||
\(674\) | 0.696564 | + | 11.8656i | 0.0268306 | + | 0.457044i | ||||
\(675\) | 0.497088 | − | 0.773484i | 0.0191329 | − | 0.0297714i | ||||
\(676\) | −17.4598 | + | 14.3654i | −0.671530 | + | 0.552516i | ||||
\(677\) | −9.48002 | + | 32.2860i | −0.364347 | + | 1.24085i | 0.549742 | + | 0.835335i | \(0.314726\pi\) |
−0.914088 | + | 0.405516i | \(0.867092\pi\) | |||||||
\(678\) | −5.31933 | − | 10.0443i | −0.204287 | − | 0.385748i | ||||
\(679\) | 20.9367 | + | 24.1623i | 0.803477 | + | 0.927262i | ||||
\(680\) | 8.97811 | + | 13.0026i | 0.344295 | + | 0.498628i | ||||
\(681\) | −7.81903 | + | 17.1213i | −0.299626 | + | 0.656089i | ||||
\(682\) | 2.34739 | + | 2.40809i | 0.0898863 | + | 0.0922105i | ||||
\(683\) | −5.32573 | − | 18.1378i | −0.203784 | − | 0.694023i | −0.996436 | − | 0.0843496i | \(-0.973119\pi\) |
0.792653 | − | 0.609674i | \(-0.208699\pi\) | |||||||
\(684\) | 5.10706 | + | 3.46942i | 0.195273 | + | 0.132656i | ||||
\(685\) | 48.6387 | − | 22.2126i | 1.85839 | − | 0.848698i | ||||
\(686\) | 16.3502 | + | 1.37933i | 0.624253 | + | 0.0526630i | ||||
\(687\) | −19.9209 | + | 12.8024i | −0.760031 | + | 0.488442i | ||||
\(688\) | −0.581249 | + | 11.3760i | −0.0221599 | + | 0.433706i | ||||
\(689\) | 11.8887 | 0.452925 | ||||||||
\(690\) | −7.84908 | − | 14.5150i | −0.298810 | − | 0.552578i | ||||
\(691\) | 23.7045i | 0.901763i | 0.892584 | + | 0.450882i | \(0.148890\pi\) | ||||
−0.892584 | + | 0.450882i | \(0.851110\pi\) | |||||||
\(692\) | 5.97843 | + | 14.0278i | 0.227266 | + | 0.533256i | ||||
\(693\) | 4.97028 | + | 7.73390i | 0.188805 | + | 0.293787i | ||||
\(694\) | 2.26106 | − | 26.8020i | 0.0858287 | − | 1.01739i | ||||
\(695\) | 10.0279 | + | 21.9580i | 0.380380 | + | 0.832916i | ||||
\(696\) | 13.2301 | + | 14.2841i | 0.501487 | + | 0.541438i | ||||
\(697\) | −26.0533 | + | 7.64993i | −0.986838 | + | 0.289762i | ||||
\(698\) | 4.53972 | + | 4.65710i | 0.171831 | + | 0.176274i | ||||
\(699\) | 21.8259 | + | 9.96755i | 0.825531 | + | 0.377007i | ||||
\(700\) | −5.57309 | − | 5.08386i | −0.210643 | − | 0.192152i | ||||
\(701\) | 12.0369 | − | 10.4300i | 0.454627 | − | 0.393936i | −0.397223 | − | 0.917722i | \(-0.630026\pi\) |
0.851850 | + | 0.523786i | \(0.175481\pi\) | |||||||
\(702\) | 1.62712 | − | 0.861704i | 0.0614118 | − | 0.0325229i | ||||
\(703\) | −5.30693 | − | 1.55826i | −0.200155 | − | 0.0587708i | ||||
\(704\) | −3.90156 | + | 17.4987i | −0.147046 | + | 0.659508i | ||||
\(705\) | −19.6501 | − | 12.6284i | −0.740067 | − | 0.475612i | ||||
\(706\) | 2.77098 | + | 47.2021i | 0.104287 | + | 1.77647i | ||||
\(707\) | 58.7604 | + | 8.44846i | 2.20991 | + | 0.317737i | ||||
\(708\) | −0.480674 | + | 18.8274i | −0.0180648 | + | 0.707578i | ||||
\(709\) | 1.69645 | − | 0.243912i | 0.0637114 | − | 0.00916031i | −0.110385 | − | 0.993889i | \(-0.535209\pi\) |
0.174097 | + | 0.984729i | \(0.444299\pi\) | |||||||
\(710\) | 15.2532 | − | 5.46844i | 0.572442 | − | 0.205227i | ||||
\(711\) | 1.59810 | − | 1.84430i | 0.0599333 | − | 0.0691667i | ||||
\(712\) | 1.44853 | − | 1.78803i | 0.0542860 | − | 0.0670092i | ||||
\(713\) | −5.04307 | − | 0.680451i | −0.188864 | − | 0.0254831i | ||||
\(714\) | 12.9794 | + | 2.99747i | 0.485741 | + | 0.112178i | ||||
\(715\) | −5.36486 | − | 4.64868i | −0.200634 | − | 0.173851i | ||||
\(716\) | −2.95378 | − | 25.0713i | −0.110388 | − | 0.936958i | ||||
\(717\) | 13.2889 | − | 1.91065i | 0.496283 | − | 0.0713547i | ||||
\(718\) | 23.5926 | − | 4.81776i | 0.880468 | − | 0.179797i | ||||
\(719\) | 0.0922866 | − | 0.641867i | 0.00344171 | − | 0.0239376i | −0.988028 | − | 0.154273i | \(-0.950696\pi\) |
0.991470 | + | 0.130336i | \(0.0416055\pi\) | |||||||
\(720\) | 5.67241 | − | 7.90790i | 0.211398 | − | 0.294710i | ||||
\(721\) | 66.5678 | + | 42.7805i | 2.47912 | + | 1.59323i | ||||
\(722\) | 10.6183 | + | 8.16230i | 0.395174 | + | 0.303769i | ||||
\(723\) | 3.51017 | − | 11.9545i | 0.130545 | − | 0.444594i | ||||
\(724\) | −21.0740 | + | 5.60782i | −0.783210 | + | 0.208413i | ||||
\(725\) | −4.78320 | + | 4.14467i | −0.177644 | + | 0.153929i | ||||
\(726\) | −7.36736 | − | 4.14581i | −0.273429 | − | 0.153865i | ||||
\(727\) | −5.79021 | + | 12.6788i | −0.214747 | + | 0.470230i | −0.986095 | − | 0.166184i | \(-0.946856\pi\) |
0.771348 | + | 0.636414i | \(0.219583\pi\) | |||||||
\(728\) | −4.73342 | − | 14.3454i | −0.175432 | − | 0.531676i | ||||
\(729\) | 0.959493 | − | 0.281733i | 0.0355368 | − | 0.0104345i | ||||
\(730\) | −8.74670 | + | 22.5670i | −0.323730 | + | 0.835241i | ||||
\(731\) | 5.94789 | − | 2.71631i | 0.219991 | − | 0.100466i | ||||
\(732\) | −3.49308 | + | 10.8627i | −0.129108 | + | 0.401495i | ||||
\(733\) | −4.40096 | − | 6.84804i | −0.162553 | − | 0.252938i | 0.750416 | − | 0.660966i | \(-0.229853\pi\) |
−0.912970 | + | 0.408028i | \(0.866217\pi\) | |||||||
\(734\) | 1.34350 | + | 1.84328i | 0.0495894 | + | 0.0680366i | ||||
\(735\) | −23.9122 | −0.882015 | ||||||||
\(736\) | −11.6699 | − | 24.4911i | −0.430158 | − | 0.902754i | ||||
\(737\) | −10.9552 | −0.403540 | ||||||||
\(738\) | 9.85049 | + | 13.5149i | 0.362602 | + | 0.497489i | ||||
\(739\) | 5.65993 | + | 8.80703i | 0.208204 | + | 0.323972i | 0.929613 | − | 0.368538i | \(-0.120141\pi\) |
−0.721409 | + | 0.692509i | \(0.756505\pi\) | |||||||
\(740\) | −2.66893 | + | 8.29974i | −0.0981118 | + | 0.305105i | ||||
\(741\) | −3.65590 | + | 1.66959i | −0.134303 | + | 0.0613341i | ||||
\(742\) | 19.1453 | − | 49.3959i | 0.702847 | − | 1.81338i | ||||
\(743\) | −37.3111 | + | 10.9555i | −1.36881 | + | 0.401919i | −0.881861 | − | 0.471510i | \(-0.843709\pi\) |
−0.486951 | + | 0.873430i | \(0.661891\pi\) | |||||||
\(744\) | −0.940403 | − | 2.85005i | −0.0344768 | − | 0.104488i | ||||
\(745\) | 1.47281 | − | 3.22501i | 0.0539597 | − | 0.118155i | ||||
\(746\) | −7.77157 | − | 4.37327i | −0.284537 | − | 0.160117i | ||||
\(747\) | −5.12463 | + | 4.44051i | −0.187500 | + | 0.162470i | ||||
\(748\) | 9.94551 | − | 2.64651i | 0.363644 | − | 0.0967660i | ||||
\(749\) | −8.16925 | + | 27.8219i | −0.298498 | + | 1.01659i | ||||
\(750\) | −11.1315 | − | 8.55677i | −0.406465 | − | 0.312449i | ||||
\(751\) | 30.4800 | + | 19.5883i | 1.11223 | + | 0.714788i | 0.961778 | − | 0.273829i | \(-0.0882903\pi\) |
0.150453 | + | 0.988617i | \(0.451927\pi\) | |||||||
\(752\) | −31.2046 | − | 22.3834i | −1.13792 | − | 0.816237i | ||||
\(753\) | 2.71557 | − | 18.8872i | 0.0989608 | − | 0.688287i | ||||
\(754\) | −12.4179 | + | 2.53582i | −0.452234 | + | 0.0923491i | ||||
\(755\) | −43.2652 | + | 6.22060i | −1.57458 | + | 0.226391i | ||||
\(756\) | −0.959972 | − | 8.14811i | −0.0349139 | − | 0.296344i | ||||
\(757\) | −8.24608 | − | 7.14527i | −0.299709 | − | 0.259699i | 0.492003 | − | 0.870593i | \(-0.336265\pi\) |
−0.791712 | + | 0.610894i | \(0.790810\pi\) | |||||||
\(758\) | −19.8098 | − | 4.57491i | −0.719526 | − | 0.166168i | ||||
\(759\) | −10.6246 | + | 1.62185i | −0.385649 | + | 0.0588696i | ||||
\(760\) | −13.3724 | + | 16.5065i | −0.485067 | + | 0.598754i | ||||
\(761\) | −12.2086 | + | 14.0895i | −0.442562 | + | 0.510744i | −0.932577 | − | 0.360970i | \(-0.882446\pi\) |
0.490016 | + | 0.871714i | \(0.336991\pi\) | |||||||
\(762\) | 10.3510 | − | 3.71096i | 0.374979 | − | 0.134434i | ||||
\(763\) | 76.2198 | − | 10.9588i | 2.75934 | − | 0.396734i | ||||
\(764\) | −0.825105 | + | 32.3184i | −0.0298513 | + | 1.16924i | ||||
\(765\) | −5.52967 | − | 0.795046i | −0.199926 | − | 0.0287450i | ||||
\(766\) | −1.35032 | − | 23.0020i | −0.0487892 | − | 0.831096i | ||||
\(767\) | −10.3138 | − | 6.62827i | −0.372409 | − | 0.239333i | ||||
\(768\) | 9.97709 | − | 12.5083i | 0.360017 | − | 0.451355i | ||||
\(769\) | −25.3870 | − | 7.45431i | −0.915480 | − | 0.268809i | −0.210134 | − | 0.977673i | \(-0.567390\pi\) |
−0.705346 | + | 0.708863i | \(0.749208\pi\) | |||||||
\(770\) | −27.9540 | + | 14.8041i | −1.00739 | + | 0.533502i | ||||
\(771\) | −15.9152 | + | 13.7906i | −0.573171 | + | 0.496655i | ||||
\(772\) | 3.55412 | + | 3.24213i | 0.127916 | + | 0.116687i | ||||
\(773\) | −35.4260 | − | 16.1785i | −1.27419 | − | 0.581901i | −0.340584 | − | 0.940214i | \(-0.610625\pi\) |
−0.933602 | + | 0.358313i | \(0.883352\pi\) | |||||||
\(774\) | −2.81113 | − | 2.88382i | −0.101044 | − | 0.103657i | ||||
\(775\) | 0.936084 | − | 0.274859i | 0.0336251 | − | 0.00987323i | ||||
\(776\) | −14.9792 | − | 16.1725i | −0.537721 | − | 0.580558i | ||||
\(777\) | 3.05326 | + | 6.68571i | 0.109535 | + | 0.239849i | ||||
\(778\) | −2.92514 | + | 34.6739i | −0.104871 | + | 1.24312i | ||||
\(779\) | −19.7364 | − | 30.7104i | −0.707129 | − | 1.10031i | ||||
\(780\) | 2.48380 | + | 5.82798i | 0.0889342 | + | 0.208675i | ||||
\(781\) | − | 10.5539i | − | 0.377649i | ||||||
\(782\) | −9.38353 | + | 12.4289i | −0.335554 | + | 0.444456i | ||||
\(783\) | −6.88361 | −0.246000 | ||||||||
\(784\) | −39.2620 | − | 2.00607i | −1.40222 | − | 0.0716453i | ||||
\(785\) | −10.9160 | + | 7.01527i | −0.389608 | + | 0.250386i | ||||
\(786\) | −7.38106 | − | 0.622678i | −0.263274 | − | 0.0222102i | ||||
\(787\) | −17.1701 | + | 7.84132i | −0.612048 | + | 0.279513i | −0.697224 | − | 0.716853i | \(-0.745582\pi\) |
0.0851764 | + | 0.996366i | \(0.472855\pi\) | |||||||
\(788\) | 1.11879 | + | 0.760033i | 0.0398551 | + | 0.0270751i | ||||
\(789\) | −7.61823 | − | 25.9453i | −0.271216 | − | 0.923677i | ||||
\(790\) | 5.86111 | + | 6.01266i | 0.208529 | + | 0.213921i | ||||
\(791\) | 13.6959 | − | 29.9898i | 0.486969 | − | 1.06631i | ||||
\(792\) | −3.60159 | − | 5.21603i | −0.127977 | − | 0.185344i | ||||
\(793\) | −4.86420 | − | 5.61358i | −0.172733 | − | 0.199344i | ||||
\(794\) | 14.1730 | + | 26.7623i | 0.502981 | + | 0.949759i | ||||
\(795\) | −6.25929 | + | 21.3172i | −0.221994 | + | 0.756042i | ||||
\(796\) | 31.5876 | − | 25.9894i | 1.11959 | − | 0.921170i | ||||
\(797\) | 1.18938 | − | 1.85071i | 0.0421299 | − | 0.0655555i | −0.819550 | − | 0.573008i | \(-0.805776\pi\) |
0.861680 | + | 0.507453i | \(0.169413\pi\) | |||||||
\(798\) | 1.04954 | + | 17.8784i | 0.0371535 | + | 0.632888i | ||||
\(799\) | −3.13726 | + | 21.8201i | −0.110988 | + | 0.771940i | ||||
\(800\) | 3.95650 | + | 3.37611i | 0.139883 | + | 0.119363i | ||||
\(801\) | 0.115784 | + | 0.805298i | 0.00409104 | + | 0.0284538i | ||||
\(802\) | −0.266397 | − | 0.743065i | −0.00940680 | − | 0.0262385i | ||||
\(803\) | 11.9135 | + | 10.3231i | 0.420417 | + | 0.364294i | ||||
\(804\) | 8.78679 | + | 4.28711i | 0.309886 | + | 0.151195i | ||||
\(805\) | 19.5054 | − | 43.7112i | 0.687475 | − | 1.54062i | ||||
\(806\) | 1.90357 | + | 0.439613i | 0.0670504 | + | 0.0154847i | ||||
\(807\) | 10.9919 | − | 12.6853i | 0.386933 | − | 0.446544i | ||||
\(808\) | −40.6850 | − | 4.48061i | −1.43129 | − | 0.157627i | ||||
\(809\) | −1.92635 | − | 13.3980i | −0.0677267 | − | 0.471050i | −0.995255 | − | 0.0972975i | \(-0.968980\pi\) |
0.927529 | − | 0.373752i | \(-0.121929\pi\) | |||||||
\(810\) | 0.688420 | + | 3.37120i | 0.0241886 | + | 0.118452i | ||||
\(811\) | 49.8506 | + | 7.16744i | 1.75049 | + | 0.251683i | 0.941710 | − | 0.336425i | \(-0.109218\pi\) |
0.808783 | + | 0.588108i | \(0.200127\pi\) | |||||||
\(812\) | −9.46153 | + | 55.6781i | −0.332035 | + | 1.95392i | ||||
\(813\) | 10.3015 | − | 16.0294i | 0.361289 | − | 0.562177i | ||||
\(814\) | 4.50202 | + | 3.46069i | 0.157796 | + | 0.121297i | ||||
\(815\) | −35.4586 | − | 10.4116i | −1.24206 | − | 0.364702i | ||||
\(816\) | −9.01260 | − | 1.76931i | −0.315504 | − | 0.0619381i | ||||
\(817\) | 5.75684 | + | 6.64375i | 0.201407 | + | 0.232435i | ||||
\(818\) | −1.10001 | + | 1.95479i | −0.0384610 | + | 0.0683477i | ||||
\(819\) | 4.85819 | + | 2.21866i | 0.169759 | + | 0.0775263i | ||||
\(820\) | −49.1861 | + | 29.8642i | −1.71765 | + | 1.04290i | ||||
\(821\) | 11.9765 | + | 40.7882i | 0.417983 | + | 1.42352i | 0.852439 | + | 0.522826i | \(0.175122\pi\) |
−0.434456 | + | 0.900693i | \(0.643059\pi\) | |||||||
\(822\) | −11.2324 | + | 28.9801i | −0.391773 | + | 1.01080i | ||||
\(823\) | 13.4981 | + | 29.5567i | 0.470514 | + | 1.03028i | 0.984964 | + | 0.172761i | \(0.0552688\pi\) |
−0.514450 | + | 0.857520i | \(0.672004\pi\) | |||||||
\(824\) | −46.8489 | − | 27.9609i | −1.63206 | − | 0.974063i | ||||
\(825\) | 1.73342 | − | 1.11400i | 0.0603498 | − | 0.0387845i | ||||
\(826\) | −44.1485 | + | 32.1782i | −1.53612 | + | 1.11962i | ||||
\(827\) | − | 44.5254i | − | 1.54830i | −0.633003 | − | 0.774149i | \(-0.718178\pi\) | ||
0.633003 | − | 0.774149i | \(-0.281822\pi\) | |||||||
\(828\) | 9.15631 | + | 2.85690i | 0.318204 | + | 0.0992843i | ||||
\(829\) | − | 39.7674i | − | 1.38118i | −0.723247 | − | 0.690590i | \(-0.757351\pi\) | ||
0.723247 | − | 0.690590i | \(-0.242649\pi\) | |||||||
\(830\) | −13.7424 | − | 18.8546i | −0.477007 | − | 0.654453i | ||||
\(831\) | 26.9578 | − | 17.3248i | 0.935157 | − | 0.600989i | ||||
\(832\) | 3.58928 | + | 9.77747i | 0.124436 | + | 0.338973i | ||||
\(833\) | 9.37482 | + | 20.5280i | 0.324818 | + | 0.711253i | ||||
\(834\) | −13.0831 | − | 5.07087i | −0.453031 | − | 0.175590i | ||||
\(835\) | 1.20014 | + | 4.08729i | 0.0415324 | + | 0.141446i | ||||
\(836\) | 7.18098 | + | 11.8270i | 0.248359 | + | 0.409045i | ||||
\(837\) | 0.965193 | + | 0.440789i | 0.0333620 | + | 0.0152359i | ||||
\(838\) | −3.21449 | − | 1.80888i | −0.111043 | − | 0.0624867i | ||||
\(839\) | −26.6451 | − | 30.7501i | −0.919892 | − | 1.06161i | −0.997907 | − | 0.0646599i | \(-0.979404\pi\) |
0.0780152 | − | 0.996952i | \(-0.475142\pi\) | |||||||
\(840\) | 28.2142 | − | 0.934580i | 0.973482 | − | 0.0322461i | ||||
\(841\) | 17.6394 | + | 5.17939i | 0.608255 | + | 0.178600i | ||||
\(842\) | 0.00935204 | − | 0.0121661i | 0.000322292 | − | 0.000419270i | ||||
\(843\) | −3.92718 | + | 6.11081i | −0.135259 | + | 0.210467i | ||||
\(844\) | −9.43119 | + | 55.4996i | −0.324635 | + | 1.91038i | ||||
\(845\) | 27.2249 | + | 3.91435i | 0.936566 | + | 0.134658i | ||||
\(846\) | 13.3028 | − | 2.71651i | 0.457358 | − | 0.0933956i | ||||
\(847\) | −3.48983 | − | 24.2723i | −0.119912 | − | 0.834007i | ||||
\(848\) | −12.0656 | + | 34.4761i | −0.414336 | + | 1.18391i | ||||
\(849\) | −5.71677 | + | 6.59751i | −0.196199 | + | 0.226426i | ||||
\(850\) | 0.671830 | − | 2.90910i | 0.0230436 | − | 0.0997812i | ||||
\(851\) | −8.59230 | + | 0.0745967i | −0.294540 | + | 0.00255714i | ||||
\(852\) | −4.13007 | + | 8.46492i | −0.141494 | + | 0.290003i | ||||
\(853\) | 13.6091 | + | 11.7923i | 0.465965 | + | 0.403761i | 0.855949 | − | 0.517061i | \(-0.172974\pi\) |
−0.389983 | + | 0.920822i | \(0.627519\pi\) | |||||||
\(854\) | −31.1568 | + | 11.1700i | −1.06616 | + | 0.382231i | ||||
\(855\) | −1.06888 | − | 7.43425i | −0.0365551 | − | 0.254246i | ||||
\(856\) | 4.99441 | − | 19.3587i | 0.170705 | − | 0.661668i | ||||
\(857\) | −3.95440 | + | 27.5034i | −0.135080 | + | 0.939500i | 0.803713 | + | 0.595017i | \(0.202855\pi\) |
−0.938793 | + | 0.344483i | \(0.888054\pi\) | |||||||
\(858\) | 4.11915 | − | 0.241813i | 0.140626 | − | 0.00825538i | ||||
\(859\) | −26.5789 | + | 41.3576i | −0.906861 | + | 1.41110i | 0.00472231 | + | 0.999989i | \(0.498497\pi\) |
−0.911584 | + | 0.411115i | \(0.865140\pi\) | |||||||
\(860\) | 10.7005 | − | 8.80410i | 0.364885 | − | 0.300217i | ||||
\(861\) | −13.6671 | + | 46.5458i | −0.465773 | + | 1.58628i | ||||
\(862\) | −10.4921 | + | 5.55649i | −0.357363 | + | 0.189255i | ||||
\(863\) | 20.1888 | + | 23.2991i | 0.687233 | + | 0.793109i | 0.986969 | − | 0.160913i | \(-0.0514438\pi\) |
−0.299735 | + | 0.954022i | \(0.596898\pi\) | |||||||
\(864\) | 0.847515 | + | 5.59301i | 0.0288330 | + | 0.190278i | ||||
\(865\) | 7.70589 | − | 16.8736i | 0.262008 | − | 0.573718i | ||||
\(866\) | 23.6528 | − | 23.0566i | 0.803754 | − | 0.783495i | ||||
\(867\) | −3.30406 | − | 11.2526i | −0.112212 | − | 0.382159i | ||||
\(868\) | 4.89198 | − | 7.20111i | 0.166045 | − | 0.244422i | ||||
\(869\) | 4.97474 | − | 2.27189i | 0.168757 | − | 0.0770686i | ||||
\(870\) | 1.99102 | − | 23.6011i | 0.0675020 | − | 0.800151i | ||||
\(871\) | −5.35408 | + | 3.44086i | −0.181416 | + | 0.116589i | ||||
\(872\) | −52.2734 | + | 9.29157i | −1.77020 | + | 0.314652i | ||||
\(873\) | 7.79362 | 0.263774 | ||||||||
\(874\) | −19.5871 | − | 7.39680i | −0.662544 | − | 0.250201i | ||||
\(875\) | − | 40.7268i | − | 1.37682i | ||||||
\(876\) | −5.51564 | − | 12.9419i | −0.186356 | − | 0.437266i | ||||
\(877\) | 10.5598 | + | 16.4314i | 0.356580 | + | 0.554850i | 0.972483 | − | 0.232972i | \(-0.0748450\pi\) |
−0.615903 | + | 0.787822i | \(0.711209\pi\) | |||||||
\(878\) | −46.3437 | − | 3.90963i | −1.56402 | − | 0.131944i | ||||
\(879\) | −0.380776 | − | 0.833783i | −0.0128432 | − | 0.0281228i | ||||
\(880\) | 18.9254 | − | 10.8397i | 0.637974 | − | 0.365405i | ||||
\(881\) | −12.2562 | + | 3.59874i | −0.412921 | + | 0.121245i | −0.481594 | − | 0.876395i | \(-0.659942\pi\) |
0.0686724 | + | 0.997639i | \(0.478124\pi\) | |||||||
\(882\) | 9.95294 | − | 9.70208i | 0.335133 | − | 0.326686i | ||||
\(883\) | 43.8564 | + | 20.0285i | 1.47588 | + | 0.674014i | 0.980833 | − | 0.194850i | \(-0.0624219\pi\) |
0.495052 | + | 0.868864i | \(0.335149\pi\) | |||||||
\(884\) | 4.02939 | − | 4.41714i | 0.135523 | − | 0.148565i | ||||
\(885\) | 17.3149 | − | 15.0035i | 0.582035 | − | 0.504336i | ||||
\(886\) | −6.94268 | − | 13.1096i | −0.233244 | − | 0.440426i | ||||
\(887\) | 7.79143 | + | 2.28777i | 0.261611 | + | 0.0768158i | 0.409908 | − | 0.912127i | \(-0.365561\pi\) |
−0.148297 | + | 0.988943i | \(0.547379\pi\) | |||||||
\(888\) | −2.25663 | − | 4.53748i | −0.0757277 | − | 0.152268i | ||||
\(889\) | 26.8332 | + | 17.2447i | 0.899958 | + | 0.578368i | ||||
\(890\) | −2.79453 | + | 0.164052i | −0.0936727 | + | 0.00549902i | ||||
\(891\) | 2.21824 | + | 0.318935i | 0.0743138 | + | 0.0106847i | ||||
\(892\) | −1.04849 | + | 41.0680i | −0.0351060 | + | 1.37506i | ||||
\(893\) | −29.3356 | + | 4.21783i | −0.981679 | + | 0.141144i | ||||
\(894\) | 0.695482 | + | 1.93992i | 0.0232604 | + | 0.0648806i | ||||
\(895\) | −20.1108 | + | 23.2091i | −0.672230 | + | 0.775794i | ||||
\(896\) | 46.4040 | + | 0.832465i | 1.55025 | + | 0.0278107i | ||||
\(897\) | −4.68311 | + | 4.12967i | −0.156365 | + | 0.137886i | ||||
\(898\) | 1.91048 | − | 8.27259i | 0.0637536 | − | 0.276060i | ||||
\(899\) | −5.52004 | − | 4.78315i | −0.184104 | − | 0.159527i | ||||
\(900\) | −1.82625 | + | 0.215161i | −0.0608751 | + | 0.00717202i | ||||
\(901\) | 20.7542 | − | 2.98400i | 0.691423 | − | 0.0994116i | ||||
\(902\) | 7.49865 | + | 36.7209i | 0.249678 | + | 1.22267i | ||||
\(903\) | 1.66252 | − | 11.5631i | 0.0553251 | − | 0.384794i | ||||
\(904\) | −8.75337 | + | 20.9788i | −0.291133 | + | 0.697745i | ||||
\(905\) | 22.3173 | + | 14.3424i | 0.741851 | + | 0.476759i | ||||
\(906\) | 15.4843 | − | 20.1435i | 0.514431 | − | 0.669224i | ||||
\(907\) | −12.6031 | + | 42.9223i | −0.418480 | + | 1.42521i | 0.433269 | + | 0.901264i | \(0.357360\pi\) |
−0.851750 | + | 0.523949i | \(0.824458\pi\) | |||||||
\(908\) | 36.3785 | − | 9.68036i | 1.20726 | − | 0.321254i | ||||
\(909\) | 10.9367 | − | 9.47668i | 0.362747 | − | 0.314322i | ||||
\(910\) | −9.01207 | + | 16.0150i | −0.298747 | + | 0.530893i | ||||
\(911\) | −6.68346 | + | 14.6347i | −0.221433 | + | 0.484870i | −0.987446 | − | 0.157954i | \(-0.949510\pi\) |
0.766014 | + | 0.642824i | \(0.222237\pi\) | |||||||
\(912\) | −1.13135 | − | 12.2962i | −0.0374626 | − | 0.407167i | ||||
\(913\) | −14.5807 | + | 4.28127i | −0.482550 | + | 0.141689i | ||||
\(914\) | −21.7031 | − | 8.41190i | −0.717876 | − | 0.278241i | ||||
\(915\) | 12.6264 | − | 5.76628i | 0.417416 | − | 0.190627i | ||||
\(916\) | 45.0863 | + | 14.4983i | 1.48969 | + | 0.479037i | ||||
\(917\) | −11.6164 | − | 18.0755i | −0.383608 | − | 0.596906i | ||||
\(918\) | 2.62419 | − | 1.91267i | 0.0866111 | − | 0.0631277i | ||||
\(919\) | −30.0467 | −0.991150 | −0.495575 | − | 0.868565i | \(-0.665043\pi\) | ||||
−0.495575 | + | 0.868565i | \(0.665043\pi\) | |||||||
\(920\) | −12.4435 | + | 30.5669i | −0.410251 | + | 1.00776i | ||||
\(921\) | 26.8211 | 0.883787 | ||||||||
\(922\) | −8.99108 | + | 6.55327i | −0.296105 | + | 0.215820i | ||||
\(923\) | −3.31482 | − | 5.15796i | −0.109109 | − | 0.169776i | ||||
\(924\) | 5.62868 | − | 17.5039i | 0.185170 | − | 0.575835i | ||||
\(925\) | 1.49848 | − | 0.684335i | 0.0492698 | − | 0.0225008i | ||||
\(926\) | −2.98062 | − | 1.15526i | −0.0979492 | − | 0.0379640i | ||||
\(927\) | 18.5080 | − | 5.43443i | 0.607882 | − | 0.178490i | ||||
\(928\) | 5.24908 | − | 38.5842i | 0.172309 | − | 1.26659i | ||||
\(929\) | −6.97208 | + | 15.2667i | −0.228746 | + | 0.500885i | −0.988850 | − | 0.148918i | \(-0.952421\pi\) |
0.760103 | + | 0.649802i | \(0.225148\pi\) | |||||||
\(930\) | −1.79046 | + | 3.18176i | −0.0587114 | + | 0.104334i | ||||
\(931\) | −22.9296 | + | 19.8686i | −0.751488 | + | 0.651168i | ||||
\(932\) | −12.3403 | − | 46.3746i | −0.404221 | − | 1.51905i | ||||
\(933\) | 6.12277 | − | 20.8523i | 0.200451 | − | 0.682672i | ||||
\(934\) | 33.6690 | − | 43.8000i | 1.10168 | − | 1.43318i | ||||
\(935\) | −10.5322 | − | 6.76865i | −0.344441 | − | 0.221359i | ||||
\(936\) | −3.39846 | − | 1.41800i | −0.111082 | − | 0.0463488i | ||||
\(937\) | 3.12261 | − | 21.7182i | 0.102011 | − | 0.709503i | −0.873060 | − | 0.487612i | \(-0.837868\pi\) |
0.975072 | − | 0.221891i | \(-0.0712228\pi\) | |||||||
\(938\) | 5.67418 | + | 27.7865i | 0.185268 | + | 0.907260i | ||||
\(939\) | 26.6313 | − | 3.82901i | 0.869081 | − | 0.124955i | ||||
\(940\) | 5.46609 | + | 46.3954i | 0.178284 | + | 1.51325i | ||||
\(941\) | −4.03288 | − | 3.49451i | −0.131468 | − | 0.113918i | 0.586645 | − | 0.809844i | \(-0.300448\pi\) |
−0.718113 | + | 0.695927i | \(0.754994\pi\) | |||||||
\(942\) | 1.69718 | − | 7.34898i | 0.0552972 | − | 0.239443i | ||||
\(943\) | −43.1816 | − | 36.7656i | −1.40619 | − | 1.19725i | ||||
\(944\) | 29.6885 | − | 23.1820i | 0.966279 | − | 0.754509i | ||||
\(945\) | −6.53596 | + | 7.54290i | −0.212615 | + | 0.245371i | ||||
\(946\) | −3.04584 | − | 8.49582i | −0.0990289 | − | 0.276223i | ||||
\(947\) | −4.70206 | + | 0.676054i | −0.152796 | + | 0.0219688i | −0.218289 | − | 0.975884i | \(-0.570047\pi\) |
0.0654921 | + | 0.997853i | \(0.479138\pi\) | |||||||
\(948\) | −4.87913 | − | 0.124567i | −0.158467 | − | 0.00404574i | ||||
\(949\) | 9.06473 | + | 1.30331i | 0.294253 | + | 0.0423073i | ||||
\(950\) | 4.00712 | − | 0.235237i | 0.130008 | − | 0.00763209i | ||||
\(951\) | −19.1749 | − | 12.3230i | −0.621790 | − | 0.399600i | ||||
\(952\) | −11.8637 | − | 23.8547i | −0.384506 | − | 0.773137i | ||||
\(953\) | 33.0944 | + | 9.71739i | 1.07203 | + | 0.314777i | 0.769687 | − | 0.638421i | \(-0.220412\pi\) |
0.302346 | + | 0.953198i | \(0.402230\pi\) | |||||||
\(954\) | −6.04389 | − | 11.4125i | −0.195678 | − | 0.369492i | ||||
\(955\) | 29.7221 | − | 25.7544i | 0.961785 | − | 0.833391i | ||||
\(956\) | −19.8373 | − | 18.0959i | −0.641585 | − | 0.585264i | ||||
\(957\) | −14.0324 | − | 6.40840i | −0.453604 | − | 0.207154i | ||||
\(958\) | 2.31374 | − | 2.25542i | 0.0747535 | − | 0.0728694i | ||||
\(959\) | −86.5044 | + | 25.4000i | −2.79337 | + | 0.820208i | ||||
\(960\) | −19.4213 | + | 1.28805i | −0.626818 | + | 0.0415717i | ||||
\(961\) | −12.4102 | − | 27.1744i | −0.400328 | − | 0.876595i | ||||
\(962\) | 3.28720 | + | 0.277313i | 0.105983 | + | 0.00894093i | ||||
\(963\) | 3.82150 | + | 5.94636i | 0.123146 | + | 0.191619i | ||||
\(964\) | −22.9234 | + | 9.76962i | −0.738314 | + | 0.314658i | ||||
\(965\) | − | 5.85224i | − | 0.188390i | ||||||
\(966\) | 9.61657 | + | 26.1079i | 0.309408 | + | 0.840009i | ||||
\(967\) | −46.0017 | −1.47931 | −0.739657 | − | 0.672984i | \(-0.765012\pi\) | ||||
−0.739657 | + | 0.672984i | \(0.765012\pi\) | |||||||
\(968\) | 2.95891 | + | 16.6466i | 0.0951031 | + | 0.535041i | ||||
\(969\) | −5.96305 | + | 3.83222i | −0.191561 | + | 0.123109i | ||||
\(970\) | −2.25424 | + | 26.7211i | −0.0723792 | + | 0.857963i | ||||
\(971\) | 31.6135 | − | 14.4374i | 1.01453 | − | 0.463318i | 0.162438 | − | 0.986719i | \(-0.448064\pi\) |
0.852087 | + | 0.523401i | \(0.175337\pi\) | |||||||
\(972\) | −1.65436 | − | 1.12387i | −0.0530637 | − | 0.0360482i | ||||
\(973\) | −11.4669 | − | 39.0526i | −0.367611 | − | 1.25197i | ||||
\(974\) | −4.00334 | + | 3.90243i | −0.128275 | + | 0.125042i | ||||
\(975\) | 0.497274 | − | 1.08888i | 0.0159255 | − | 0.0348720i | ||||
\(976\) | 21.2154 | − | 8.40854i | 0.679087 | − | 0.269151i | ||||
\(977\) | 28.6259 | + | 33.0360i | 0.915824 | + | 1.05692i | 0.998179 | + | 0.0603137i | \(0.0192101\pi\) |
−0.0823559 | + | 0.996603i | \(0.526244\pi\) | |||||||
\(978\) | 18.9833 | − | 10.0533i | 0.607018 | − | 0.321469i | ||||
\(979\) | −0.513675 | + | 1.74942i | −0.0164171 | + | 0.0559116i | ||||
\(980\) | 30.3857 | + | 36.9308i | 0.970634 | + | 1.17971i | ||||
\(981\) | 10.1484 | − | 15.7913i | 0.324015 | − | 0.504177i | ||||
\(982\) | 9.66966 | − | 0.567654i | 0.308571 | − | 0.0181146i | ||||
\(983\) | −4.22453 | + | 29.3822i | −0.134742 | + | 0.937148i | 0.804515 | + | 0.593932i | \(0.202425\pi\) |
−0.939257 | + | 0.343216i | \(0.888484\pi\) | |||||||
\(984\) | 8.35561 | − | 32.3870i | 0.266367 | − | 1.03246i | ||||
\(985\) | −0.234157 | − | 1.62860i | −0.00746086 | − | 0.0518914i | ||||
\(986\) | −21.0415 | + | 7.54360i | −0.670097 | + | 0.240237i | ||||
\(987\) | 29.7644 | + | 25.7910i | 0.947410 | + | 0.820935i | ||||
\(988\) | 7.22420 | + | 3.52472i | 0.229832 | + | 0.112136i | ||||
\(989\) | 11.5528 | + | 7.28358i | 0.367357 | + | 0.231604i | ||||
\(990\) | −1.73510 | + | 7.51318i | −0.0551451 | + | 0.238785i | ||||
\(991\) | 15.3301 | − | 17.6919i | 0.486976 | − | 0.562000i | −0.458079 | − | 0.888911i | \(-0.651462\pi\) |
0.945055 | + | 0.326911i | \(0.106008\pi\) | |||||||
\(992\) | −3.20673 | + | 5.07400i | −0.101814 | + | 0.161100i | ||||
\(993\) | 3.76102 | + | 26.1584i | 0.119352 | + | 0.830113i | ||||
\(994\) | −26.7686 | + | 5.46633i | −0.849049 | + | 0.173381i | ||||
\(995\) | −49.2543 | − | 7.08170i | −1.56147 | − | 0.224505i | ||||
\(996\) | 13.3700 | + | 2.27200i | 0.423646 | + | 0.0719912i | ||||
\(997\) | −0.290651 | + | 0.452261i | −0.00920500 | + | 0.0143233i | −0.845826 | − | 0.533460i | \(-0.820892\pi\) |
0.836621 | + | 0.547783i | \(0.184528\pi\) | |||||||
\(998\) | 4.08681 | − | 5.31653i | 0.129366 | − | 0.168292i | ||||
\(999\) | 1.71911 | + | 0.504776i | 0.0543902 | + | 0.0159704i |
(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 | 552.2.bb.a.85.14 | yes | 480 | |
8.5 | even | 2 | inner | 552.2.bb.a.85.41 | yes | 480 | |
23.13 | even | 11 | inner | 552.2.bb.a.13.41 | yes | 480 | |
184.13 | even | 22 | inner | 552.2.bb.a.13.14 | ✓ | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.bb.a.13.14 | ✓ | 480 | 184.13 | even | 22 | inner | |
552.2.bb.a.13.41 | yes | 480 | 23.13 | even | 11 | inner | |
552.2.bb.a.85.14 | yes | 480 | 1.1 | even | 1 | trivial | |
552.2.bb.a.85.41 | yes | 480 | 8.5 | even | 2 | inner |