Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(2,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([9, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bi (of order \(180\), degree \(48\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(2304\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 117.30 | ||
Character | \(\chi\) | \(=\) | 475.117 |
Dual form | 475.2.bi.a.203.30 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{13}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.278268 | + | 0.655558i | 0.196765 | + | 0.463550i | 0.989230 | − | 0.146368i | \(-0.0467582\pi\) |
−0.792465 | + | 0.609917i | \(0.791203\pi\) | |||||||
\(3\) | 0.198697 | − | 0.0386228i | 0.114718 | − | 0.0222989i | −0.133124 | − | 0.991099i | \(-0.542501\pi\) |
0.247842 | + | 0.968800i | \(0.420279\pi\) | |||||||
\(4\) | 1.03699 | − | 1.07384i | 0.518497 | − | 0.536919i | ||||
\(5\) | 1.59924 | − | 1.56283i | 0.715200 | − | 0.698920i | ||||
\(6\) | 0.0806105 | + | 0.119510i | 0.0329091 | + | 0.0487898i | ||||
\(7\) | 0.712034 | − | 2.65735i | 0.269123 | − | 1.00438i | −0.690554 | − | 0.723280i | \(-0.742633\pi\) |
0.959678 | − | 0.281102i | \(-0.0907000\pi\) | |||||||
\(8\) | 2.32227 | + | 0.891434i | 0.821045 | + | 0.315170i | ||||
\(9\) | −2.74356 | + | 1.10847i | −0.914521 | + | 0.369490i | ||||
\(10\) | 1.46954 | + | 0.613507i | 0.464711 | + | 0.194008i | ||||
\(11\) | 1.11267 | + | 0.236504i | 0.335481 | + | 0.0713087i | 0.372572 | − | 0.928003i | \(-0.378476\pi\) |
−0.0370912 | + | 0.999312i | \(0.511809\pi\) | |||||||
\(12\) | 0.164573 | − | 0.253420i | 0.0475081 | − | 0.0731560i | ||||
\(13\) | −3.11217 | + | 0.382127i | −0.863162 | + | 0.105983i | −0.541326 | − | 0.840813i | \(-0.682078\pi\) |
−0.321836 | + | 0.946796i | \(0.604300\pi\) | |||||||
\(14\) | 1.94018 | − | 0.272675i | 0.518535 | − | 0.0728754i | ||||
\(15\) | 0.257403 | − | 0.372297i | 0.0664611 | − | 0.0961267i | ||||
\(16\) | −0.0423716 | − | 1.21336i | −0.0105929 | − | 0.303341i | ||||
\(17\) | 0.178571 | − | 0.297192i | 0.0433098 | − | 0.0720796i | −0.834754 | − | 0.550622i | \(-0.814390\pi\) |
0.878064 | + | 0.478543i | \(0.158835\pi\) | |||||||
\(18\) | −1.49011 | − | 1.49011i | −0.351223 | − | 0.351223i | ||||
\(19\) | −0.204998 | − | 4.35408i | −0.0470298 | − | 0.998893i | ||||
\(20\) | −0.0198305 | − | 3.33797i | −0.00443423 | − | 0.746392i | ||||
\(21\) | 0.0388449 | − | 0.555508i | 0.00847665 | − | 0.121222i | ||||
\(22\) | 0.154577 | + | 0.795229i | 0.0329559 | + | 0.169543i | ||||
\(23\) | −1.01491 | + | 3.31961i | −0.211622 | + | 0.692186i | 0.785670 | + | 0.618646i | \(0.212319\pi\) |
−0.997292 | + | 0.0735399i | \(0.976570\pi\) | |||||||
\(24\) | 0.495857 | + | 0.0874330i | 0.101216 | + | 0.0178472i | ||||
\(25\) | 0.115115 | − | 4.99867i | 0.0230229 | − | 0.999735i | ||||
\(26\) | −1.11653 | − | 1.93388i | −0.218969 | − | 0.379265i | ||||
\(27\) | −1.01161 | + | 0.656945i | −0.194684 | + | 0.126429i | ||||
\(28\) | −2.11518 | − | 3.52026i | −0.399732 | − | 0.665266i | ||||
\(29\) | −2.00512 | + | 8.04208i | −0.372341 | + | 1.49338i | 0.433450 | + | 0.901177i | \(0.357296\pi\) |
−0.805791 | + | 0.592200i | \(0.798260\pi\) | |||||||
\(30\) | 0.315689 | + | 0.0651441i | 0.0576367 | + | 0.0118936i | ||||
\(31\) | 3.42584 | + | 0.360071i | 0.615300 | + | 0.0646706i | 0.407051 | − | 0.913405i | \(-0.366557\pi\) |
0.208249 | + | 0.978076i | \(0.433224\pi\) | |||||||
\(32\) | 5.29249 | − | 2.46793i | 0.935589 | − | 0.436272i | ||||
\(33\) | 0.230218 | + | 0.00401847i | 0.0400758 | + | 0.000699525i | ||||
\(34\) | 0.244517 | + | 0.0343646i | 0.0419343 | + | 0.00589349i | ||||
\(35\) | −3.01427 | − | 5.36251i | −0.509505 | − | 0.906430i | ||||
\(36\) | −1.65474 | + | 4.09562i | −0.275790 | + | 0.682603i | ||||
\(37\) | 3.38790 | + | 6.64914i | 0.556968 | + | 1.09311i | 0.982167 | + | 0.188011i | \(0.0602042\pi\) |
−0.425199 | + | 0.905100i | \(0.639796\pi\) | |||||||
\(38\) | 2.79731 | − | 1.34599i | 0.453783 | − | 0.218348i | ||||
\(39\) | −0.603621 | + | 0.196128i | −0.0966567 | + | 0.0314057i | ||||
\(40\) | 5.10701 | − | 2.20370i | 0.807490 | − | 0.348435i | ||||
\(41\) | 9.26939 | − | 0.323694i | 1.44764 | − | 0.0505526i | 0.699754 | − | 0.714384i | \(-0.253293\pi\) |
0.747882 | + | 0.663831i | \(0.231071\pi\) | |||||||
\(42\) | 0.374977 | − | 0.129115i | 0.0578602 | − | 0.0199229i | ||||
\(43\) | 4.28651 | + | 6.12178i | 0.653687 | + | 0.933562i | 0.999990 | − | 0.00456068i | \(-0.00145171\pi\) |
−0.346302 | + | 0.938123i | \(0.612563\pi\) | |||||||
\(44\) | 1.40779 | − | 0.949568i | 0.212233 | − | 0.143153i | ||||
\(45\) | −2.65525 | + | 6.06043i | −0.395822 | + | 0.903436i | ||||
\(46\) | −2.45861 | + | 0.258411i | −0.362503 | + | 0.0381006i | ||||
\(47\) | −8.86632 | + | 5.32742i | −1.29329 | + | 0.777085i | −0.984725 | − | 0.174120i | \(-0.944292\pi\) |
−0.308562 | + | 0.951204i | \(0.599848\pi\) | |||||||
\(48\) | −0.0552826 | − | 0.239455i | −0.00797935 | − | 0.0345624i | ||||
\(49\) | −0.492320 | − | 0.284241i | −0.0703315 | − | 0.0406059i | ||||
\(50\) | 3.30896 | − | 1.31551i | 0.467957 | − | 0.186041i | ||||
\(51\) | 0.0240031 | − | 0.0659480i | 0.00336111 | − | 0.00923457i | ||||
\(52\) | −2.81696 | + | 3.73823i | −0.390642 | + | 0.518400i | ||||
\(53\) | −0.0693819 | − | 3.97489i | −0.00953034 | − | 0.545993i | −0.966622 | − | 0.256207i | \(-0.917527\pi\) |
0.957092 | − | 0.289786i | \(-0.0935840\pi\) | |||||||
\(54\) | −0.712164 | − | 0.480360i | −0.0969132 | − | 0.0653688i | ||||
\(55\) | 2.14903 | − | 1.36068i | 0.289775 | − | 0.183474i | ||||
\(56\) | 4.02238 | − | 5.53633i | 0.537513 | − | 0.739824i | ||||
\(57\) | −0.208899 | − | 0.857224i | −0.0276694 | − | 0.113542i | ||||
\(58\) | −5.83001 | + | 0.923384i | −0.765518 | + | 0.121246i | ||||
\(59\) | 5.08648 | − | 3.17839i | 0.662203 | − | 0.413791i | −0.156760 | − | 0.987637i | \(-0.550105\pi\) |
0.818963 | + | 0.573846i | \(0.194549\pi\) | |||||||
\(60\) | −0.132862 | − | 0.662478i | −0.0171524 | − | 0.0855255i | ||||
\(61\) | 2.97069 | − | 1.57954i | 0.380358 | − | 0.202240i | −0.268273 | − | 0.963343i | \(-0.586453\pi\) |
0.648631 | + | 0.761103i | \(0.275342\pi\) | |||||||
\(62\) | 0.717256 | + | 2.34604i | 0.0910915 | + | 0.297947i | ||||
\(63\) | 0.992083 | + | 8.07987i | 0.124991 | + | 1.01797i | ||||
\(64\) | 1.28610 | + | 1.15801i | 0.160762 | + | 0.144751i | ||||
\(65\) | −4.37990 | + | 5.47492i | −0.543260 | + | 0.679080i | ||||
\(66\) | 0.0614279 | + | 0.152039i | 0.00756125 | + | 0.0187148i | ||||
\(67\) | −5.61695 | + | 6.46156i | −0.686220 | + | 0.789406i | −0.986380 | − | 0.164483i | \(-0.947404\pi\) |
0.300160 | + | 0.953889i | \(0.402960\pi\) | |||||||
\(68\) | −0.133959 | − | 0.499942i | −0.0162449 | − | 0.0606268i | ||||
\(69\) | −0.0734463 | + | 0.698795i | −0.00884189 | + | 0.0841250i | ||||
\(70\) | 2.67667 | − | 3.46825i | 0.319923 | − | 0.414535i | ||||
\(71\) | 9.54401 | − | 4.65493i | 1.13267 | − | 0.552438i | 0.225933 | − | 0.974143i | \(-0.427457\pi\) |
0.906733 | + | 0.421705i | \(0.138568\pi\) | |||||||
\(72\) | −7.35941 | + | 0.128459i | −0.867315 | + | 0.0151390i | ||||
\(73\) | −14.6563 | − | 1.79956i | −1.71538 | − | 0.210623i | −0.796360 | − | 0.604823i | \(-0.793244\pi\) |
−0.919025 | + | 0.394200i | \(0.871022\pi\) | |||||||
\(74\) | −3.41615 | + | 4.07121i | −0.397120 | + | 0.473269i | ||||
\(75\) | −0.170190 | − | 0.997668i | −0.0196518 | − | 0.115201i | ||||
\(76\) | −4.88815 | − | 4.29501i | −0.560710 | − | 0.492672i | ||||
\(77\) | 1.42073 | − | 2.78834i | 0.161907 | − | 0.317761i | ||||
\(78\) | −0.296542 | − | 0.341133i | −0.0335768 | − | 0.0386257i | ||||
\(79\) | −3.44064 | + | 5.10096i | −0.387102 | + | 0.573903i | −0.971344 | − | 0.237677i | \(-0.923614\pi\) |
0.584242 | + | 0.811579i | \(0.301392\pi\) | |||||||
\(80\) | −1.96404 | − | 1.87423i | −0.219587 | − | 0.209546i | ||||
\(81\) | 6.21001 | − | 5.99694i | 0.690001 | − | 0.666326i | ||||
\(82\) | 2.79158 | + | 5.98655i | 0.308278 | + | 0.661104i | ||||
\(83\) | 0.0247818 | + | 0.0306029i | 0.00272015 | + | 0.00335911i | 0.778504 | − | 0.627639i | \(-0.215979\pi\) |
−0.775784 | + | 0.630998i | \(0.782645\pi\) | |||||||
\(84\) | −0.556243 | − | 0.617771i | −0.0606911 | − | 0.0674043i | ||||
\(85\) | −0.178884 | − | 0.754356i | −0.0194027 | − | 0.0818214i | ||||
\(86\) | −2.82038 | + | 4.51356i | −0.304130 | + | 0.486709i | ||||
\(87\) | −0.0878030 | + | 1.67538i | −0.00941347 | + | 0.179620i | ||||
\(88\) | 2.37308 | + | 1.54109i | 0.252971 | + | 0.164281i | ||||
\(89\) | 0.147884 | − | 4.23486i | 0.0156757 | − | 0.448894i | −0.966023 | − | 0.258455i | \(-0.916787\pi\) |
0.981699 | − | 0.190439i | \(-0.0609911\pi\) | |||||||
\(90\) | −4.71184 | − | 0.0542473i | −0.496672 | − | 0.00571817i | ||||
\(91\) | −1.20053 | + | 8.54221i | −0.125850 | + | 0.895467i | ||||
\(92\) | 2.51227 | + | 4.53225i | 0.261922 | + | 0.472520i | ||||
\(93\) | 0.694612 | − | 0.0607707i | 0.0720279 | − | 0.00630163i | ||||
\(94\) | −5.95965 | − | 4.32994i | −0.614691 | − | 0.446599i | ||||
\(95\) | −7.13253 | − | 6.64282i | −0.731782 | − | 0.681539i | ||||
\(96\) | 0.956284 | − | 0.694781i | 0.0976003 | − | 0.0709108i | ||||
\(97\) | −7.57187 | + | 6.58212i | −0.768807 | + | 0.668313i | −0.948985 | − | 0.315321i | \(-0.897888\pi\) |
0.180179 | + | 0.983634i | \(0.442332\pi\) | |||||||
\(98\) | 0.0493398 | − | 0.401840i | 0.00498407 | − | 0.0405920i | ||||
\(99\) | −3.31482 | + | 0.584493i | −0.333152 | + | 0.0587438i | ||||
\(100\) | −5.24839 | − | 5.30721i | −0.524839 | − | 0.530721i | ||||
\(101\) | 6.23583 | + | 2.26966i | 0.620488 | + | 0.225839i | 0.633086 | − | 0.774081i | \(-0.281788\pi\) |
−0.0125978 | + | 0.999921i | \(0.504010\pi\) | |||||||
\(102\) | 0.0499121 | − | 0.00261578i | 0.00494203 | − | 0.000259001i | ||||
\(103\) | 0.359826 | − | 0.444349i | 0.0354547 | − | 0.0437830i | −0.759110 | − | 0.650962i | \(-0.774366\pi\) |
0.794565 | + | 0.607179i | \(0.207699\pi\) | |||||||
\(104\) | −7.56794 | − | 1.88690i | −0.742097 | − | 0.185026i | ||||
\(105\) | −0.806043 | − | 0.949096i | −0.0786617 | − | 0.0926223i | ||||
\(106\) | 2.58646 | − | 1.15157i | 0.251220 | − | 0.111850i | ||||
\(107\) | 5.33997 | + | 1.43084i | 0.516234 | + | 0.138324i | 0.507524 | − | 0.861638i | \(-0.330561\pi\) |
0.00870990 | + | 0.999962i | \(0.497228\pi\) | |||||||
\(108\) | −0.343577 | + | 1.76755i | −0.0330607 | + | 0.170082i | ||||
\(109\) | −17.1608 | − | 9.12458i | −1.64371 | − | 0.873976i | −0.993450 | − | 0.114265i | \(-0.963549\pi\) |
−0.650260 | − | 0.759712i | \(-0.725340\pi\) | |||||||
\(110\) | 1.49001 | + | 1.03018i | 0.142067 | + | 0.0982239i | ||||
\(111\) | 0.929975 | + | 1.19031i | 0.0882693 | + | 0.112980i | ||||
\(112\) | −3.25449 | − | 0.751359i | −0.307521 | − | 0.0709968i | ||||
\(113\) | −5.92136 | + | 3.01708i | −0.557035 | + | 0.283823i | −0.709758 | − | 0.704446i | \(-0.751196\pi\) |
0.152723 | + | 0.988269i | \(0.451196\pi\) | |||||||
\(114\) | 0.503831 | − | 0.375484i | 0.0471881 | − | 0.0351673i | ||||
\(115\) | 3.56491 | + | 6.89496i | 0.332430 | + | 0.642959i | ||||
\(116\) | 6.55660 | + | 10.4928i | 0.608765 | + | 0.974228i | ||||
\(117\) | 8.11487 | − | 4.49814i | 0.750220 | − | 0.415854i | ||||
\(118\) | 3.49902 | + | 2.45004i | 0.322111 | + | 0.225545i | ||||
\(119\) | −0.662593 | − | 0.686135i | −0.0607398 | − | 0.0628979i | ||||
\(120\) | 0.929636 | − | 0.635115i | 0.0848638 | − | 0.0579778i | ||||
\(121\) | −8.86691 | − | 3.94780i | −0.806083 | − | 0.358891i | ||||
\(122\) | 1.86213 | + | 1.50792i | 0.168589 | + | 0.136521i | ||||
\(123\) | 1.82930 | − | 0.422327i | 0.164942 | − | 0.0380799i | ||||
\(124\) | 3.93923 | − | 3.30541i | 0.353754 | − | 0.296835i | ||||
\(125\) | −7.62799 | − | 8.17397i | −0.682268 | − | 0.731102i | ||||
\(126\) | −5.02076 | + | 2.89874i | −0.447285 | + | 0.258240i | ||||
\(127\) | 11.5907 | + | 12.4295i | 1.02851 | + | 1.10294i | 0.994628 | + | 0.103516i | \(0.0330094\pi\) |
0.0338825 | + | 0.999426i | \(0.489213\pi\) | |||||||
\(128\) | 3.40113 | − | 9.87759i | 0.300620 | − | 0.873064i | ||||
\(129\) | 1.08816 | + | 1.05082i | 0.0958070 | + | 0.0925197i | ||||
\(130\) | −4.80791 | − | 1.34779i | −0.421682 | − | 0.118209i | ||||
\(131\) | 3.48880 | + | 13.9928i | 0.304818 | + | 1.22256i | 0.905942 | + | 0.423401i | \(0.139164\pi\) |
−0.601125 | + | 0.799155i | \(0.705280\pi\) | |||||||
\(132\) | 0.243049 | − | 0.243049i | 0.0211547 | − | 0.0211547i | ||||
\(133\) | −11.7163 | − | 2.55550i | −1.01593 | − | 0.221590i | ||||
\(134\) | −5.79895 | − | 1.88419i | −0.500953 | − | 0.162770i | ||||
\(135\) | −0.591104 | + | 2.63158i | −0.0508741 | + | 0.226490i | ||||
\(136\) | 0.679616 | − | 0.530974i | 0.0582766 | − | 0.0455307i | ||||
\(137\) | −4.27789 | − | 5.67695i | −0.365485 | − | 0.485015i | 0.578184 | − | 0.815906i | \(-0.303762\pi\) |
−0.943669 | + | 0.330892i | \(0.892650\pi\) | |||||||
\(138\) | −0.478538 | + | 0.146304i | −0.0407359 | + | 0.0124542i | ||||
\(139\) | −6.77276 | − | 0.236510i | −0.574458 | − | 0.0200605i | −0.253802 | − | 0.967256i | \(-0.581681\pi\) |
−0.320656 | + | 0.947196i | \(0.603903\pi\) | |||||||
\(140\) | −8.88425 | − | 2.32405i | −0.750856 | − | 0.196418i | ||||
\(141\) | −1.55595 | + | 1.40099i | −0.131035 | + | 0.117984i | ||||
\(142\) | 5.70737 | + | 4.96134i | 0.478952 | + | 0.416346i | ||||
\(143\) | −3.55318 | − | 0.310863i | −0.297132 | − | 0.0259957i | ||||
\(144\) | 1.46123 | + | 3.28197i | 0.121769 | + | 0.273497i | ||||
\(145\) | 9.36177 | + | 15.9949i | 0.777452 | + | 1.32830i | ||||
\(146\) | −2.89865 | − | 10.1088i | −0.239894 | − | 0.836610i | ||||
\(147\) | −0.108801 | − | 0.0374631i | −0.00897374 | − | 0.00308991i | ||||
\(148\) | 10.6533 | + | 3.25705i | 0.875698 | + | 0.267728i | ||||
\(149\) | −5.38539 | − | 14.7962i | −0.441189 | − | 1.21216i | −0.938711 | − | 0.344705i | \(-0.887979\pi\) |
0.497523 | − | 0.867451i | \(-0.334243\pi\) | |||||||
\(150\) | 0.606671 | − | 0.389188i | 0.0495345 | − | 0.0317771i | ||||
\(151\) | 4.26977i | 0.347469i | 0.984793 | + | 0.173735i | \(0.0555835\pi\) | ||||
−0.984793 | + | 0.173735i | \(0.944417\pi\) | |||||||
\(152\) | 3.40531 | − | 10.2941i | 0.276207 | − | 0.834959i | ||||
\(153\) | −0.160492 | + | 1.01330i | −0.0129750 | + | 0.0819208i | ||||
\(154\) | 2.22326 | + | 0.155466i | 0.179156 | + | 0.0125278i | ||||
\(155\) | 6.04147 | − | 4.77818i | 0.485262 | − | 0.383793i | ||||
\(156\) | −0.415341 | + | 0.851575i | −0.0332539 | + | 0.0681805i | ||||
\(157\) | 11.5491 | − | 8.08676i | 0.921718 | − | 0.645394i | −0.0133316 | − | 0.999911i | \(-0.504244\pi\) |
0.935049 | + | 0.354517i | \(0.115355\pi\) | |||||||
\(158\) | −4.30140 | − | 0.836107i | −0.342201 | − | 0.0665171i | ||||
\(159\) | −0.167307 | − | 0.787119i | −0.0132683 | − | 0.0624226i | ||||
\(160\) | 4.60699 | − | 12.2181i | 0.364214 | − | 0.965924i | ||||
\(161\) | 8.09870 | + | 5.06063i | 0.638267 | + | 0.398833i | ||||
\(162\) | 5.65939 | + | 2.40227i | 0.444644 | + | 0.188740i | ||||
\(163\) | −23.8368 | − | 1.24923i | −1.86704 | − | 0.0978476i | −0.914934 | − | 0.403604i | \(-0.867757\pi\) |
−0.952110 | + | 0.305757i | \(0.901091\pi\) | |||||||
\(164\) | 9.26470 | − | 10.2895i | 0.723452 | − | 0.803474i | ||||
\(165\) | 0.374453 | − | 0.353365i | 0.0291511 | − | 0.0275094i | ||||
\(166\) | −0.0131660 | + | 0.0247617i | −0.00102188 | + | 0.00192188i | ||||
\(167\) | −2.07434 | − | 6.02433i | −0.160518 | − | 0.466177i | 0.836079 | − | 0.548609i | \(-0.184842\pi\) |
−0.996597 | + | 0.0824320i | \(0.973731\pi\) | |||||||
\(168\) | 0.585407 | − | 1.25541i | 0.0451651 | − | 0.0968569i | ||||
\(169\) | −3.07424 | + | 0.766494i | −0.236480 | + | 0.0589611i | ||||
\(170\) | 0.444747 | − | 0.327182i | 0.0341105 | − | 0.0250937i | ||||
\(171\) | 5.38879 | + | 11.7184i | 0.412091 | + | 0.896132i | ||||
\(172\) | 11.0189 | + | 1.74522i | 0.840182 | + | 0.133072i | ||||
\(173\) | −11.9536 | + | 5.07402i | −0.908818 | + | 0.385770i | −0.794212 | − | 0.607641i | \(-0.792116\pi\) |
−0.114606 | + | 0.993411i | \(0.536560\pi\) | |||||||
\(174\) | −1.12274 | + | 0.408645i | −0.0851149 | + | 0.0309793i | ||||
\(175\) | −13.2012 | − | 3.86512i | −0.997920 | − | 0.292176i | ||||
\(176\) | 0.239820 | − | 1.36009i | 0.0180771 | − | 0.102520i | ||||
\(177\) | 0.887910 | − | 0.827990i | 0.0667394 | − | 0.0622355i | ||||
\(178\) | 2.81735 | − | 1.08148i | 0.211169 | − | 0.0810602i | ||||
\(179\) | 1.75904 | + | 16.7361i | 0.131477 | + | 1.25092i | 0.838963 | + | 0.544189i | \(0.183163\pi\) |
−0.707486 | + | 0.706727i | \(0.750171\pi\) | |||||||
\(180\) | 3.75445 | + | 9.13594i | 0.279840 | + | 0.680953i | ||||
\(181\) | −0.495554 | − | 7.08676i | −0.0368343 | − | 0.526754i | −0.980585 | − | 0.196096i | \(-0.937174\pi\) |
0.943750 | − | 0.330659i | \(-0.107271\pi\) | |||||||
\(182\) | −5.93399 | + | 1.59001i | −0.439856 | + | 0.117859i | ||||
\(183\) | 0.529260 | − | 0.428587i | 0.0391241 | − | 0.0316820i | ||||
\(184\) | −5.31609 | + | 6.80429i | −0.391908 | + | 0.501619i | ||||
\(185\) | 15.8095 | + | 5.33882i | 1.16234 | + | 0.392518i | ||||
\(186\) | 0.233127 | + | 0.438448i | 0.0170937 | + | 0.0321486i | ||||
\(187\) | 0.268977 | − | 0.288442i | 0.0196695 | − | 0.0210930i | ||||
\(188\) | −3.47353 | + | 15.0455i | −0.253333 | + | 1.09731i | ||||
\(189\) | 1.02543 | + | 3.15596i | 0.0745892 | + | 0.229562i | ||||
\(190\) | 2.37000 | − | 6.52427i | 0.171938 | − | 0.473320i | ||||
\(191\) | 1.49616 | − | 4.60472i | 0.108259 | − | 0.333186i | −0.882223 | − | 0.470832i | \(-0.843954\pi\) |
0.990481 | + | 0.137646i | \(0.0439538\pi\) | |||||||
\(192\) | 0.300269 | + | 0.180420i | 0.0216700 | + | 0.0130207i | ||||
\(193\) | 14.9152 | + | 6.95508i | 1.07362 | + | 0.500638i | 0.877320 | − | 0.479906i | \(-0.159329\pi\) |
0.196301 | + | 0.980544i | \(0.437107\pi\) | |||||||
\(194\) | −6.42197 | − | 3.13221i | −0.461071 | − | 0.224879i | ||||
\(195\) | −0.658817 | + | 1.25701i | −0.0471789 | + | 0.0900166i | ||||
\(196\) | −0.815762 | + | 0.233916i | −0.0582687 | + | 0.0167083i | ||||
\(197\) | −0.381354 | − | 0.993460i | −0.0271703 | − | 0.0707811i | 0.919324 | − | 0.393501i | \(-0.128736\pi\) |
−0.946495 | + | 0.322720i | \(0.895403\pi\) | |||||||
\(198\) | −1.30558 | − | 2.01042i | −0.0927835 | − | 0.142874i | ||||
\(199\) | 10.4501 | + | 12.4539i | 0.740786 | + | 0.882834i | 0.996472 | − | 0.0839254i | \(-0.0267457\pi\) |
−0.255686 | + | 0.966760i | \(0.582301\pi\) | |||||||
\(200\) | 4.72332 | − | 11.5056i | 0.333989 | − | 0.813571i | ||||
\(201\) | −0.866508 | + | 1.50084i | −0.0611188 | + | 0.105861i | ||||
\(202\) | 0.247340 | + | 4.71952i | 0.0174028 | + | 0.332065i | ||||
\(203\) | 19.9429 | + | 11.0545i | 1.39972 | + | 0.775875i | ||||
\(204\) | −0.0459264 | − | 0.0941631i | −0.00321549 | − | 0.00659273i | ||||
\(205\) | 14.3181 | − | 15.0042i | 1.00002 | − | 1.04794i | ||||
\(206\) | 0.391425 | + | 0.112239i | 0.0272718 | + | 0.00782008i | ||||
\(207\) | −0.895232 | − | 10.2325i | −0.0622229 | − | 0.711211i | ||||
\(208\) | 0.595526 | + | 3.76000i | 0.0412923 | + | 0.260709i | ||||
\(209\) | 0.801663 | − | 4.89311i | 0.0554522 | − | 0.338464i | ||||
\(210\) | 0.397892 | − | 0.792511i | 0.0274572 | − | 0.0546885i | ||||
\(211\) | −3.52737 | − | 1.42515i | −0.242834 | − | 0.0981113i | 0.249964 | − | 0.968255i | \(-0.419581\pi\) |
−0.492798 | + | 0.870144i | \(0.664026\pi\) | |||||||
\(212\) | −4.34033 | − | 4.04743i | −0.298095 | − | 0.277978i | ||||
\(213\) | 1.71658 | − | 1.29354i | 0.117618 | − | 0.0886317i | ||||
\(214\) | 0.547943 | + | 3.89882i | 0.0374566 | + | 0.266518i | ||||
\(215\) | 16.4225 | + | 3.09107i | 1.12000 | + | 0.210809i | ||||
\(216\) | −2.93484 | + | 0.623820i | −0.199691 | + | 0.0424456i | ||||
\(217\) | 3.39615 | − | 8.84727i | 0.230546 | − | 0.600592i | ||||
\(218\) | 1.20638 | − | 13.7890i | 0.0817065 | − | 0.933910i | ||||
\(219\) | −2.98166 | + | 0.208498i | −0.201482 | + | 0.0140890i | ||||
\(220\) | 0.767379 | − | 3.71873i | 0.0517366 | − | 0.250717i | ||||
\(221\) | −0.442178 | + | 0.993149i | −0.0297441 | + | 0.0668064i | ||||
\(222\) | −0.521538 | + | 0.940879i | −0.0350033 | + | 0.0631477i | ||||
\(223\) | −1.16589 | − | 0.878564i | −0.0780740 | − | 0.0588330i | 0.562059 | − | 0.827097i | \(-0.310010\pi\) |
−0.640133 | + | 0.768264i | \(0.721121\pi\) | |||||||
\(224\) | −2.78971 | − | 15.8212i | −0.186395 | − | 1.05710i | ||||
\(225\) | 5.22506 | + | 13.8418i | 0.348338 | + | 0.922785i | ||||
\(226\) | −3.62560 | − | 3.04224i | −0.241171 | − | 0.202367i | ||||
\(227\) | 0.430092 | + | 0.219143i | 0.0285462 | + | 0.0145450i | 0.468205 | − | 0.883620i | \(-0.344901\pi\) |
−0.439659 | + | 0.898165i | \(0.644901\pi\) | |||||||
\(228\) | −1.13715 | − | 0.664612i | −0.0753094 | − | 0.0440150i | ||||
\(229\) | −14.0307 | − | 19.3116i | −0.927174 | − | 1.27614i | −0.960952 | − | 0.276715i | \(-0.910754\pi\) |
0.0337784 | − | 0.999429i | \(-0.489246\pi\) | |||||||
\(230\) | −3.52805 | + | 4.25566i | −0.232633 | + | 0.280610i | ||||
\(231\) | 0.174601 | − | 0.608907i | 0.0114879 | − | 0.0400631i | ||||
\(232\) | −11.8254 | + | 16.8884i | −0.776376 | + | 1.10878i | ||||
\(233\) | −0.0627007 | + | 3.59212i | −0.00410766 | + | 0.235327i | 0.990846 | + | 0.134995i | \(0.0431018\pi\) |
−0.994954 | + | 0.100333i | \(0.968009\pi\) | |||||||
\(234\) | 5.20690 | + | 4.06808i | 0.340386 | + | 0.265939i | ||||
\(235\) | −5.85348 | + | 22.3764i | −0.381839 | + | 1.45967i | ||||
\(236\) | 1.86157 | − | 8.75802i | 0.121178 | − | 0.570098i | ||||
\(237\) | −0.486632 | + | 1.14643i | −0.0316101 | + | 0.0744688i | ||||
\(238\) | 0.265423 | − | 0.625298i | 0.0172048 | − | 0.0405320i | ||||
\(239\) | 3.91446 | − | 18.4161i | 0.253205 | − | 1.19124i | −0.649291 | − | 0.760540i | \(-0.724934\pi\) |
0.902496 | − | 0.430697i | \(-0.141732\pi\) | |||||||
\(240\) | −0.462638 | − | 0.296548i | −0.0298631 | − | 0.0191421i | ||||
\(241\) | −17.5669 | − | 13.7248i | −1.13158 | − | 0.884090i | −0.137264 | − | 0.990534i | \(-0.543831\pi\) |
−0.994319 | + | 0.106445i | \(0.966053\pi\) | |||||||
\(242\) | 0.120638 | − | 6.91133i | 0.00775488 | − | 0.444277i | ||||
\(243\) | 3.07784 | − | 4.39561i | 0.197444 | − | 0.281979i | ||||
\(244\) | 1.38441 | − | 4.82801i | 0.0886278 | − | 0.309082i | ||||
\(245\) | −1.23156 | + | 0.314845i | −0.0786814 | + | 0.0201147i | ||||
\(246\) | 0.785895 | + | 1.08169i | 0.0501069 | + | 0.0689662i | ||||
\(247\) | 2.30180 | + | 13.4723i | 0.146460 | + | 0.857222i | ||||
\(248\) | 7.63474 | + | 3.89010i | 0.484807 | + | 0.247021i | ||||
\(249\) | 0.00610604 | + | 0.00512357i | 0.000386954 | + | 0.000324693i | ||||
\(250\) | 3.23589 | − | 7.27515i | 0.204655 | − | 0.460121i | ||||
\(251\) | 1.93933 | + | 10.9985i | 0.122409 | + | 0.694217i | 0.982813 | + | 0.184604i | \(0.0591002\pi\) |
−0.860404 | + | 0.509613i | \(0.829789\pi\) | |||||||
\(252\) | 9.70525 | + | 7.31343i | 0.611373 | + | 0.460703i | ||||
\(253\) | −1.91435 | + | 3.45358i | −0.120354 | + | 0.217125i | ||||
\(254\) | −4.92295 | + | 11.0571i | −0.308894 | + | 0.693786i | ||||
\(255\) | −0.0646790 | − | 0.142979i | −0.00405036 | − | 0.00895371i | ||||
\(256\) | 10.8746 | − | 0.760423i | 0.679660 | − | 0.0475264i | ||||
\(257\) | −0.413235 | + | 4.72330i | −0.0257769 | + | 0.294631i | 0.972354 | + | 0.233513i | \(0.0750222\pi\) |
−0.998131 | + | 0.0611180i | \(0.980533\pi\) | |||||||
\(258\) | −0.386076 | + | 1.00576i | −0.0240360 | + | 0.0626160i | ||||
\(259\) | 20.0814 | − | 4.26843i | 1.24780 | − | 0.265227i | ||||
\(260\) | 1.33724 | + | 10.3808i | 0.0829323 | + | 0.643787i | ||||
\(261\) | −3.41326 | − | 24.2866i | −0.211275 | − | 1.50330i | ||||
\(262\) | −8.20228 | + | 6.18086i | −0.506738 | + | 0.381855i | ||||
\(263\) | 12.8288 | + | 11.9631i | 0.791060 | + | 0.737676i | 0.969185 | − | 0.246332i | \(-0.0792254\pi\) |
−0.178125 | + | 0.984008i | \(0.557003\pi\) | |||||||
\(264\) | 0.531045 | + | 0.214556i | 0.0326835 | + | 0.0132050i | ||||
\(265\) | −6.32304 | − | 6.24835i | −0.388421 | − | 0.383833i | ||||
\(266\) | −1.58498 | − | 8.39180i | −0.0971814 | − | 0.514534i | ||||
\(267\) | −0.134178 | − | 0.847165i | −0.00821155 | − | 0.0518457i | ||||
\(268\) | 1.11393 | + | 12.7323i | 0.0680442 | + | 0.777749i | ||||
\(269\) | 29.0934 | + | 8.34240i | 1.77386 | + | 0.508645i | 0.993211 | − | 0.116328i | \(-0.0371124\pi\) |
0.780646 | + | 0.624973i | \(0.214890\pi\) | |||||||
\(270\) | −1.88964 | + | 0.344782i | −0.115000 | + | 0.0209828i | ||||
\(271\) | 3.04295 | + | 6.23898i | 0.184846 | + | 0.378991i | 0.971014 | − | 0.239022i | \(-0.0768268\pi\) |
−0.786168 | + | 0.618013i | \(0.787938\pi\) | |||||||
\(272\) | −0.368168 | − | 0.204079i | −0.0223234 | − | 0.0123741i | ||||
\(273\) | 0.0913824 | + | 1.74368i | 0.00553071 | + | 0.105532i | ||||
\(274\) | 2.53117 | − | 4.38412i | 0.152914 | − | 0.264854i | ||||
\(275\) | 1.31029 | − | 5.53463i | 0.0790136 | − | 0.333750i | ||||
\(276\) | 0.674229 | + | 0.803514i | 0.0405838 | + | 0.0483659i | ||||
\(277\) | −12.5538 | − | 19.3312i | −0.754287 | − | 1.16150i | −0.982204 | − | 0.187819i | \(-0.939858\pi\) |
0.227917 | − | 0.973681i | \(-0.426808\pi\) | |||||||
\(278\) | −1.72960 | − | 4.50575i | −0.103734 | − | 0.270237i | ||||
\(279\) | −9.79815 | + | 2.80957i | −0.586600 | + | 0.168205i | ||||
\(280\) | −2.21962 | − | 15.1402i | −0.132648 | − | 0.904801i | ||||
\(281\) | −17.2349 | − | 8.40604i | −1.02815 | − | 0.501462i | −0.154487 | − | 0.987995i | \(-0.549373\pi\) |
−0.873662 | + | 0.486533i | \(0.838261\pi\) | |||||||
\(282\) | −1.35140 | − | 0.630168i | −0.0804747 | − | 0.0375260i | ||||
\(283\) | −20.5968 | − | 12.3758i | −1.22435 | − | 0.735664i | −0.251670 | − | 0.967813i | \(-0.580980\pi\) |
−0.972680 | + | 0.232149i | \(0.925424\pi\) | |||||||
\(284\) | 4.89844 | − | 15.0758i | 0.290669 | − | 0.894587i | ||||
\(285\) | −1.67378 | − | 1.04443i | −0.0991460 | − | 0.0618667i | ||||
\(286\) | −0.784948 | − | 2.41582i | −0.0464150 | − | 0.142851i | ||||
\(287\) | 5.73995 | − | 24.8625i | 0.338819 | − | 1.46759i | ||||
\(288\) | −11.7847 | + | 12.6375i | −0.694417 | + | 0.744671i | ||||
\(289\) | 7.92458 | + | 14.9040i | 0.466152 | + | 0.876704i | ||||
\(290\) | −7.88048 | + | 10.5880i | −0.462758 | + | 0.621751i | ||||
\(291\) | −1.25029 | + | 1.60030i | −0.0732932 | + | 0.0938110i | ||||
\(292\) | −17.1309 | + | 13.8723i | −1.00251 | + | 0.811815i | ||||
\(293\) | 2.18221 | − | 0.584722i | 0.127486 | − | 0.0341598i | −0.194512 | − | 0.980900i | \(-0.562312\pi\) |
0.321998 | + | 0.946740i | \(0.395646\pi\) | |||||||
\(294\) | −0.00571652 | − | 0.0817501i | −0.000333394 | − | 0.00476776i | ||||
\(295\) | 3.16720 | − | 13.0323i | 0.184402 | − | 0.758770i | ||||
\(296\) | 1.94035 | + | 18.4612i | 0.112780 | + | 1.07303i | ||||
\(297\) | −1.28095 | + | 0.491710i | −0.0743282 | + | 0.0285319i | ||||
\(298\) | 8.20122 | − | 7.64776i | 0.475084 | − | 0.443023i | ||||
\(299\) | 1.89005 | − | 10.7190i | 0.109305 | − | 0.619897i | ||||
\(300\) | −1.24782 | − | 0.851818i | −0.0720429 | − | 0.0491798i | ||||
\(301\) | 19.3198 | − | 7.03184i | 1.11358 | − | 0.405309i | ||||
\(302\) | −2.79908 | + | 1.18814i | −0.161069 | + | 0.0683698i | ||||
\(303\) | 1.32670 | + | 0.210129i | 0.0762170 | + | 0.0120716i | ||||
\(304\) | −5.27439 | + | 0.433226i | −0.302507 | + | 0.0248472i | ||||
\(305\) | 2.28227 | − | 7.16875i | 0.130683 | − | 0.410481i | ||||
\(306\) | −0.708940 | + | 0.176759i | −0.0405274 | + | 0.0101046i | ||||
\(307\) | 3.48652 | − | 7.47686i | 0.198986 | − | 0.426727i | −0.781342 | − | 0.624104i | \(-0.785464\pi\) |
0.980328 | + | 0.197376i | \(0.0632421\pi\) | |||||||
\(308\) | −1.52094 | − | 4.41712i | −0.0866634 | − | 0.251689i | ||||
\(309\) | 0.0543345 | − | 0.102188i | 0.00309098 | − | 0.00581329i | ||||
\(310\) | 4.81352 | + | 2.63092i | 0.273390 | + | 0.149426i | ||||
\(311\) | 20.7650 | − | 23.0619i | 1.17748 | − | 1.30772i | 0.235567 | − | 0.971858i | \(-0.424305\pi\) |
0.941911 | − | 0.335863i | \(-0.109028\pi\) | |||||||
\(312\) | −1.57660 | − | 0.0826263i | −0.0892576 | − | 0.00467779i | ||||
\(313\) | 25.7519 | + | 10.9311i | 1.45559 | + | 0.617859i | 0.967028 | − | 0.254672i | \(-0.0819674\pi\) |
0.488558 | + | 0.872531i | \(0.337523\pi\) | |||||||
\(314\) | 8.51509 | + | 5.32082i | 0.480534 | + | 0.300271i | ||||
\(315\) | 14.2140 | + | 11.3712i | 0.800871 | + | 0.640692i | ||||
\(316\) | 1.90968 | + | 8.98435i | 0.107428 | + | 0.505409i | ||||
\(317\) | 12.3280 | + | 2.39632i | 0.692408 | + | 0.134591i | 0.524752 | − | 0.851255i | \(-0.324158\pi\) |
0.167656 | + | 0.985846i | \(0.446380\pi\) | |||||||
\(318\) | 0.469446 | − | 0.328710i | 0.0263252 | − | 0.0184331i | ||||
\(319\) | −4.13301 | + | 8.47393i | −0.231404 | + | 0.474449i | ||||
\(320\) | 3.86654 | − | 0.158026i | 0.216146 | − | 0.00883392i | ||||
\(321\) | 1.11630 | + | 0.0780592i | 0.0623057 | + | 0.00435684i | ||||
\(322\) | −1.06393 | + | 6.71738i | −0.0592904 | + | 0.374345i | ||||
\(323\) | −1.33060 | − | 0.716587i | −0.0740367 | − | 0.0398720i | ||||
\(324\) | − | 12.8873i | − | 0.715962i | ||||||
\(325\) | 1.55187 | + | 15.6007i | 0.0860824 | + | 0.865373i | ||||
\(326\) | −5.81408 | − | 15.9740i | −0.322012 | − | 0.884720i | ||||
\(327\) | −3.76223 | − | 1.15023i | −0.208052 | − | 0.0636077i | ||||
\(328\) | 21.8146 | + | 7.51135i | 1.20451 | + | 0.414745i | ||||
\(329\) | 7.84369 | + | 27.3542i | 0.432437 | + | 1.50809i | ||||
\(330\) | 0.335850 | + | 0.147145i | 0.0184879 | + | 0.00810009i | ||||
\(331\) | 4.01960 | + | 9.02818i | 0.220937 | + | 0.496234i | 0.989675 | − | 0.143331i | \(-0.0457813\pi\) |
−0.768737 | + | 0.639565i | \(0.779115\pi\) | |||||||
\(332\) | 0.0585611 | + | 0.00512343i | 0.00321396 | + | 0.000281185i | ||||
\(333\) | −16.6653 | − | 14.4869i | −0.913253 | − | 0.793879i | ||||
\(334\) | 3.37208 | − | 3.03623i | 0.184512 | − | 0.166135i | ||||
\(335\) | 1.11550 | + | 19.1119i | 0.0609464 | + | 1.04420i | ||||
\(336\) | −0.675678 | − | 0.0235952i | −0.0368613 | − | 0.00128722i | ||||
\(337\) | −5.30769 | + | 1.62272i | −0.289128 | + | 0.0883953i | −0.433576 | − | 0.901117i | \(-0.642748\pi\) |
0.144448 | + | 0.989512i | \(0.453859\pi\) | |||||||
\(338\) | −1.35794 | − | 1.80205i | −0.0738624 | − | 0.0980187i | ||||
\(339\) | −1.06003 | + | 0.828185i | −0.0575728 | + | 0.0449808i | ||||
\(340\) | −0.995557 | − | 0.590170i | −0.0539917 | − | 0.0320065i | ||||
\(341\) | 3.72666 | + | 1.21086i | 0.201810 | + | 0.0655720i | ||||
\(342\) | −6.18260 | + | 6.79354i | −0.334317 | + | 0.367352i | ||||
\(343\) | 12.5113 | − | 12.5113i | 0.675547 | − | 0.675547i | ||||
\(344\) | 4.49726 | + | 18.0375i | 0.242476 | + | 0.972519i | ||||
\(345\) | 0.974640 | + | 1.23232i | 0.0524729 | + | 0.0663460i | ||||
\(346\) | −6.65263 | − | 6.42437i | −0.357647 | − | 0.345376i | ||||
\(347\) | 7.32225 | − | 21.2653i | 0.393079 | − | 1.14158i | −0.557252 | − | 0.830343i | \(-0.688144\pi\) |
0.950331 | − | 0.311240i | \(-0.100744\pi\) | |||||||
\(348\) | 1.70804 | + | 1.83164i | 0.0915604 | + | 0.0981865i | ||||
\(349\) | 5.45864 | − | 3.15155i | 0.292194 | − | 0.168698i | −0.346737 | − | 0.937963i | \(-0.612710\pi\) |
0.638931 | + | 0.769264i | \(0.279377\pi\) | |||||||
\(350\) | −1.13967 | − | 9.72973i | −0.0609179 | − | 0.520076i | ||||
\(351\) | 2.89726 | − | 2.43109i | 0.154644 | − | 0.129762i | ||||
\(352\) | 6.47245 | − | 1.49428i | 0.344983 | − | 0.0796455i | ||||
\(353\) | −19.7895 | − | 16.0252i | −1.05329 | − | 0.852936i | −0.0638604 | − | 0.997959i | \(-0.520341\pi\) |
−0.989428 | + | 0.145022i | \(0.953675\pi\) | |||||||
\(354\) | 0.789873 | + | 0.351674i | 0.0419813 | + | 0.0186913i | ||||
\(355\) | 7.98827 | − | 22.3600i | 0.423973 | − | 1.18675i | ||||
\(356\) | −4.39419 | − | 4.55032i | −0.232892 | − | 0.241167i | ||||
\(357\) | −0.158156 | − | 0.110742i | −0.00837049 | − | 0.00586108i | ||||
\(358\) | −10.4820 | + | 5.81028i | −0.553992 | + | 0.307083i | ||||
\(359\) | −3.58539 | − | 5.73782i | −0.189230 | − | 0.302831i | 0.739807 | − | 0.672820i | \(-0.234917\pi\) |
−0.929036 | + | 0.369989i | \(0.879361\pi\) | |||||||
\(360\) | −11.5687 | + | 11.7070i | −0.609723 | + | 0.617011i | ||||
\(361\) | −18.9160 | + | 1.78516i | −0.995576 | + | 0.0939556i | ||||
\(362\) | 4.50789 | − | 2.29688i | 0.236929 | − | 0.120721i | ||||
\(363\) | −1.91430 | − | 0.441952i | −0.100475 | − | 0.0231965i | ||||
\(364\) | 7.92801 | + | 10.1474i | 0.415541 | + | 0.531868i | ||||
\(365\) | −26.2512 | + | 20.0273i | −1.37405 | + | 1.04828i | ||||
\(366\) | 0.428240 | + | 0.227699i | 0.0223845 | + | 0.0119020i | ||||
\(367\) | −2.01350 | + | 10.3586i | −0.105104 | + | 0.540712i | 0.891111 | + | 0.453785i | \(0.149927\pi\) |
−0.996215 | + | 0.0869265i | \(0.972295\pi\) | |||||||
\(368\) | 4.07089 | + | 1.09079i | 0.212210 | + | 0.0568614i | ||||
\(369\) | −25.0724 | + | 11.1629i | −1.30521 | + | 0.581119i | ||||
\(370\) | 0.899383 | + | 11.8497i | 0.0467567 | + | 0.616037i | ||||
\(371\) | −10.6121 | − | 2.64588i | −0.550951 | − | 0.137367i | ||||
\(372\) | 0.655050 | − | 0.808919i | 0.0339628 | − | 0.0419405i | ||||
\(373\) | 0.485488 | − | 0.0254433i | 0.0251376 | − | 0.00131741i | −0.0397630 | − | 0.999209i | \(-0.512660\pi\) |
0.0649006 | + | 0.997892i | \(0.479327\pi\) | |||||||
\(374\) | 0.263938 | + | 0.0960657i | 0.0136479 | + | 0.00496744i | ||||
\(375\) | −1.83136 | − | 1.32953i | −0.0945711 | − | 0.0686566i | ||||
\(376\) | −25.3390 | + | 4.46795i | −1.30676 | + | 0.230417i | ||||
\(377\) | 3.16717 | − | 25.7946i | 0.163118 | − | 1.32849i | ||||
\(378\) | −1.78357 | + | 1.55043i | −0.0917369 | + | 0.0797456i | ||||
\(379\) | −0.0643462 | + | 0.0467503i | −0.00330524 | + | 0.00240140i | −0.589437 | − | 0.807815i | \(-0.700650\pi\) |
0.586131 | + | 0.810216i | \(0.300650\pi\) | |||||||
\(380\) | −14.5297 | + | 0.770621i | −0.745357 | + | 0.0395320i | ||||
\(381\) | 2.78311 | + | 2.02204i | 0.142583 | + | 0.103592i | ||||
\(382\) | 3.43500 | − | 0.300523i | 0.175750 | − | 0.0153761i | ||||
\(383\) | −18.2577 | − | 32.9377i | −0.932924 | − | 1.68304i | −0.704799 | − | 0.709407i | \(-0.748963\pi\) |
−0.228124 | − | 0.973632i | \(-0.573259\pi\) | |||||||
\(384\) | 0.294294 | − | 2.09401i | 0.0150181 | − | 0.106859i | ||||
\(385\) | −2.08562 | − | 6.67957i | −0.106293 | − | 0.340422i | ||||
\(386\) | −0.409033 | + | 11.7132i | −0.0208192 | + | 0.596185i | ||||
\(387\) | −18.5461 | − | 12.0440i | −0.942753 | − | 0.612231i | ||||
\(388\) | −0.783841 | + | 14.9566i | −0.0397935 | + | 0.759305i | ||||
\(389\) | −10.9930 | + | 17.5925i | −0.557369 | + | 0.891976i | −0.999989 | − | 0.00473283i | \(-0.998493\pi\) |
0.442620 | + | 0.896709i | \(0.354049\pi\) | |||||||
\(390\) | −1.00737 | − | 0.0821064i | −0.0510103 | − | 0.00415762i | ||||
\(391\) | 0.805327 | + | 0.894406i | 0.0407271 | + | 0.0452321i | ||||
\(392\) | −0.889916 | − | 1.09896i | −0.0449476 | − | 0.0555056i | ||||
\(393\) | 1.23365 | + | 2.64558i | 0.0622297 | + | 0.133452i | ||||
\(394\) | 0.545153 | − | 0.526448i | 0.0274644 | − | 0.0265221i | ||||
\(395\) | 2.46954 | + | 13.5348i | 0.124256 | + | 0.681009i | ||||
\(396\) | −2.80980 | + | 4.16570i | −0.141198 | + | 0.209334i | ||||
\(397\) | 7.23132 | + | 8.31868i | 0.362930 | + | 0.417503i | 0.906730 | − | 0.421712i | \(-0.138571\pi\) |
−0.543800 | + | 0.839215i | \(0.683015\pi\) | |||||||
\(398\) | −5.25635 | + | 10.3162i | −0.263477 | + | 0.517102i | ||||
\(399\) | −2.42669 | − | 0.0552554i | −0.121486 | − | 0.00276623i | ||||
\(400\) | −6.07008 | + | 0.0721259i | −0.303504 | + | 0.00360630i | ||||
\(401\) | 0.780488 | − | 0.930149i | 0.0389757 | − | 0.0464494i | −0.746204 | − | 0.665717i | \(-0.768126\pi\) |
0.785180 | + | 0.619267i | \(0.212570\pi\) | |||||||
\(402\) | −1.22501 | − | 0.150412i | −0.0610978 | − | 0.00750187i | ||||
\(403\) | −10.7994 | + | 0.188505i | −0.537957 | + | 0.00939008i | ||||
\(404\) | 8.90376 | − | 4.34265i | 0.442978 | − | 0.216055i | ||||
\(405\) | 0.559072 | − | 19.2957i | 0.0277805 | − | 0.958812i | ||||
\(406\) | −1.69742 | + | 16.1498i | −0.0842414 | + | 0.801504i | ||||
\(407\) | 2.19705 | + | 8.19952i | 0.108904 | + | 0.406435i | ||||
\(408\) | 0.114530 | − | 0.131752i | 0.00567008 | − | 0.00652268i | ||||
\(409\) | −8.92808 | − | 22.0978i | −0.441465 | − | 1.09266i | −0.969859 | − | 0.243666i | \(-0.921650\pi\) |
0.528394 | − | 0.848999i | \(-0.322794\pi\) | |||||||
\(410\) | 13.8204 | + | 5.21115i | 0.682539 | + | 0.257360i | ||||
\(411\) | −1.06926 | − | 0.962769i | −0.0527429 | − | 0.0474899i | ||||
\(412\) | −0.104021 | − | 0.847181i | −0.00512474 | − | 0.0417376i | ||||
\(413\) | −4.82433 | − | 15.7797i | −0.237390 | − | 0.776466i | ||||
\(414\) | 6.45892 | − | 3.43427i | 0.317438 | − | 0.168785i | ||||
\(415\) | 0.0874592 | + | 0.0102116i | 0.00429320 | + | 0.000501268i | ||||
\(416\) | −15.5281 | + | 9.70303i | −0.761327 | + | 0.475730i | ||||
\(417\) | −1.35486 | + | 0.214589i | −0.0663479 | + | 0.0105085i | ||||
\(418\) | 3.43080 | − | 0.836059i | 0.167806 | − | 0.0408930i | ||||
\(419\) | −20.6237 | + | 28.3861i | −1.00754 | + | 1.38675i | −0.0869498 | + | 0.996213i | \(0.527712\pi\) |
−0.920586 | + | 0.390541i | \(0.872288\pi\) | |||||||
\(420\) | −1.85504 | − | 0.118647i | −0.0905165 | − | 0.00578938i | ||||
\(421\) | 7.86962 | + | 5.30812i | 0.383542 | + | 0.258702i | 0.735797 | − | 0.677202i | \(-0.236808\pi\) |
−0.352256 | + | 0.935904i | \(0.614585\pi\) | |||||||
\(422\) | −0.0472852 | − | 2.70897i | −0.00230181 | − | 0.131871i | ||||
\(423\) | 18.4200 | − | 24.4442i | 0.895612 | − | 1.18852i | ||||
\(424\) | 3.38223 | − | 9.29260i | 0.164256 | − | 0.451288i | ||||
\(425\) | −1.46501 | − | 0.926828i | −0.0710634 | − | 0.0449578i | ||||
\(426\) | 1.32566 | + | 0.765369i | 0.0642284 | + | 0.0370823i | ||||
\(427\) | −2.08216 | − | 9.01883i | −0.100763 | − | 0.436452i | ||||
\(428\) | 7.07400 | − | 4.25049i | 0.341935 | − | 0.205455i | ||||
\(429\) | −0.718013 | + | 0.0754662i | −0.0346660 | + | 0.00364354i | ||||
\(430\) | 2.54347 | + | 11.6260i | 0.122657 | + | 0.560657i | ||||
\(431\) | −24.1522 | + | 16.2909i | −1.16337 | + | 0.784705i | −0.980129 | − | 0.198363i | \(-0.936438\pi\) |
−0.183244 | + | 0.983068i | \(0.558660\pi\) | |||||||
\(432\) | 0.839976 | + | 1.19961i | 0.0404134 | + | 0.0577162i | ||||
\(433\) | 5.39974 | − | 1.85928i | 0.259495 | − | 0.0893513i | −0.192741 | − | 0.981250i | \(-0.561738\pi\) |
0.452236 | + | 0.891898i | \(0.350627\pi\) | |||||||
\(434\) | 6.74494 | − | 0.235539i | 0.323768 | − | 0.0113062i | ||||
\(435\) | 2.47792 | + | 2.81655i | 0.118807 | + | 0.135043i | ||||
\(436\) | −27.5940 | + | 8.96583i | −1.32151 | + | 0.429385i | ||||
\(437\) | 14.6619 | + | 3.73846i | 0.701373 | + | 0.178835i | ||||
\(438\) | −0.966383 | − | 1.89663i | −0.0461756 | − | 0.0906246i | ||||
\(439\) | 7.73896 | − | 19.1546i | 0.369360 | − | 0.914199i | −0.621998 | − | 0.783019i | \(-0.713679\pi\) |
0.991359 | − | 0.131180i | \(-0.0418767\pi\) | |||||||
\(440\) | 6.20358 | − | 1.24415i | 0.295744 | − | 0.0593123i | ||||
\(441\) | 1.66579 | + | 0.234111i | 0.0793231 | + | 0.0111481i | ||||
\(442\) | −0.774111 | − | 0.0135122i | −0.0368207 | − | 0.000642708i | ||||
\(443\) | −8.05726 | + | 3.75716i | −0.382812 | + | 0.178508i | −0.604492 | − | 0.796611i | \(-0.706624\pi\) |
0.221680 | + | 0.975119i | \(0.428846\pi\) | |||||||
\(444\) | 2.24258 | + | 0.235705i | 0.106428 | + | 0.0111861i | ||||
\(445\) | −6.38187 | − | 7.00366i | −0.302530 | − | 0.332005i | ||||
\(446\) | 0.251519 | − | 1.00879i | 0.0119098 | − | 0.0477675i | ||||
\(447\) | −1.64153 | − | 2.73197i | −0.0776419 | − | 0.129218i | ||||
\(448\) | 3.99297 | − | 2.59306i | 0.188650 | − | 0.122511i | ||||
\(449\) | 4.17997 | + | 7.23993i | 0.197265 | + | 0.341673i | 0.947641 | − | 0.319338i | \(-0.103461\pi\) |
−0.750376 | + | 0.661012i | \(0.770127\pi\) | |||||||
\(450\) | −7.62013 | + | 7.27706i | −0.359216 | + | 0.343044i | ||||
\(451\) | 10.3903 | + | 1.83209i | 0.489259 | + | 0.0862696i | ||||
\(452\) | −2.90055 | + | 9.48727i | −0.136430 | + | 0.446244i | ||||
\(453\) | 0.164911 | + | 0.848391i | 0.00774817 | + | 0.0398609i | ||||
\(454\) | −0.0239801 | + | 0.342931i | −0.00112544 | + | 0.0160945i | ||||
\(455\) | 11.4301 | + | 15.5372i | 0.535852 | + | 0.728397i | ||||
\(456\) | 0.279040 | − | 2.17692i | 0.0130672 | − | 0.101944i | ||||
\(457\) | −15.4506 | − | 15.4506i | −0.722751 | − | 0.722751i | 0.246414 | − | 0.969165i | \(-0.420748\pi\) |
−0.969165 | + | 0.246414i | \(0.920748\pi\) | |||||||
\(458\) | 8.75558 | − | 14.5717i | 0.409121 | − | 0.680892i | ||||
\(459\) | 0.0145952 | + | 0.417952i | 0.000681246 | + | 0.0195083i | ||||
\(460\) | 11.1009 | + | 3.32189i | 0.517580 | + | 0.154884i | ||||
\(461\) | −0.785125 | + | 0.110342i | −0.0365669 | + | 0.00513915i | −0.157433 | − | 0.987530i | \(-0.550322\pi\) |
0.120866 | + | 0.992669i | \(0.461433\pi\) | |||||||
\(462\) | 0.447760 | − | 0.0549780i | 0.0208317 | − | 0.00255781i | ||||
\(463\) | −11.7364 | + | 18.0725i | −0.545437 | + | 0.839899i | −0.998673 | − | 0.0514910i | \(-0.983603\pi\) |
0.453236 | + | 0.891390i | \(0.350269\pi\) | |||||||
\(464\) | 9.84292 | + | 2.09218i | 0.456946 | + | 0.0971269i | ||||
\(465\) | 1.01587 | − | 1.18275i | 0.0471101 | − | 0.0548486i | ||||
\(466\) | −2.37229 | + | 0.958468i | −0.109894 | + | 0.0444002i | ||||
\(467\) | −1.38038 | − | 0.529878i | −0.0638763 | − | 0.0245198i | 0.326220 | − | 0.945294i | \(-0.394225\pi\) |
−0.390096 | + | 0.920774i | \(0.627558\pi\) | |||||||
\(468\) | 3.58478 | − | 13.3786i | 0.165707 | − | 0.618426i | ||||
\(469\) | 13.1712 | + | 19.5270i | 0.608187 | + | 0.901675i | ||||
\(470\) | −16.2979 | + | 2.38933i | −0.751764 | + | 0.110212i | ||||
\(471\) | 1.98244 | − | 2.05287i | 0.0913459 | − | 0.0945914i | ||||
\(472\) | 14.6455 | − | 2.84679i | 0.674113 | − | 0.131034i | ||||
\(473\) | 3.32163 | + | 7.82527i | 0.152729 | + | 0.359806i | ||||
\(474\) | −0.886968 | −0.0407398 | ||||||||
\(475\) | −21.7882 | + | 0.523502i | −0.999711 | + | 0.0240199i | ||||
\(476\) | −1.42390 | −0.0652644 | ||||||||
\(477\) | 4.59640 | + | 10.8284i | 0.210455 | + | 0.495800i | ||||
\(478\) | 13.1621 | − | 2.55845i | 0.602020 | − | 0.117021i | ||||
\(479\) | −2.27075 | + | 2.35143i | −0.103753 | + | 0.107439i | −0.769208 | − | 0.638999i | \(-0.779349\pi\) |
0.665455 | + | 0.746438i | \(0.268238\pi\) | |||||||
\(480\) | 0.443499 | − | 2.60563i | 0.0202428 | − | 0.118930i | ||||
\(481\) | −13.0846 | − | 19.3987i | −0.596605 | − | 0.884503i | ||||
\(482\) | 4.10908 | − | 15.3353i | 0.187163 | − | 0.698503i | ||||
\(483\) | 1.80464 | + | 0.692738i | 0.0821141 | + | 0.0315207i | ||||
\(484\) | −13.4342 | + | 5.42778i | −0.610647 | + | 0.246717i | ||||
\(485\) | −1.82245 | + | 22.3599i | −0.0827534 | + | 1.01531i | ||||
\(486\) | 3.73804 | + | 0.794546i | 0.169561 | + | 0.0360413i | ||||
\(487\) | −7.87984 | + | 12.1339i | −0.357070 | + | 0.549839i | −0.970865 | − | 0.239626i | \(-0.922975\pi\) |
0.613796 | + | 0.789465i | \(0.289642\pi\) | |||||||
\(488\) | 8.30679 | − | 1.01995i | 0.376031 | − | 0.0461707i | ||||
\(489\) | −4.78455 | + | 0.672425i | −0.216365 | + | 0.0304081i | ||||
\(490\) | −0.549102 | − | 0.719747i | −0.0248059 | − | 0.0325149i | ||||
\(491\) | 0.316180 | + | 9.05422i | 0.0142690 | + | 0.408611i | 0.985419 | + | 0.170143i | \(0.0544230\pi\) |
−0.971150 | + | 0.238468i | \(0.923355\pi\) | |||||||
\(492\) | 1.44346 | − | 2.40232i | 0.0650762 | − | 0.108305i | ||||
\(493\) | 2.03199 | + | 2.03199i | 0.0915160 | + | 0.0915160i | ||||
\(494\) | −8.19137 | + | 5.25788i | −0.368547 | + | 0.236563i | ||||
\(495\) | −4.38772 | + | 6.11526i | −0.197214 | + | 0.274860i | ||||
\(496\) | 0.291738 | − | 4.17205i | 0.0130994 | − | 0.187330i | ||||
\(497\) | −5.57409 | − | 28.6762i | −0.250032 | − | 1.28630i | ||||
\(498\) | −0.00165969 | + | 0.00542859i | −7.43723e−5 | + | 0.000243261i | ||||
\(499\) | 39.4133 | + | 6.94962i | 1.76438 | + | 0.311108i | 0.959369 | − | 0.282153i | \(-0.0910486\pi\) |
0.805010 | + | 0.593261i | \(0.202160\pi\) | |||||||
\(500\) | −16.6877 | − | 0.285122i | −0.746296 | − | 0.0127511i | ||||
\(501\) | −0.644843 | − | 1.11690i | −0.0288094 | − | 0.0498994i | ||||
\(502\) | −6.67048 | + | 4.33186i | −0.297718 | + | 0.193340i | ||||
\(503\) | −7.21831 | − | 12.0133i | −0.321849 | − | 0.535646i | 0.653328 | − | 0.757075i | \(-0.273372\pi\) |
−0.975176 | + | 0.221429i | \(0.928928\pi\) | |||||||
\(504\) | −4.89879 | + | 19.6480i | −0.218209 | + | 0.875190i | ||||
\(505\) | 13.5197 | − | 6.11584i | 0.601617 | − | 0.272151i | ||||
\(506\) | −2.79673 | − | 0.293948i | −0.124330 | − | 0.0130676i | ||||
\(507\) | −0.581238 | + | 0.271036i | −0.0258137 | + | 0.0120371i | ||||
\(508\) | 25.3668 | + | 0.442779i | 1.12547 | + | 0.0196451i | ||||
\(509\) | 22.1495 | + | 3.11291i | 0.981761 | + | 0.137977i | 0.611751 | − | 0.791050i | \(-0.290465\pi\) |
0.370010 | + | 0.929028i | \(0.379354\pi\) | |||||||
\(510\) | 0.0757332 | − | 0.0821874i | 0.00335352 | − | 0.00363932i | ||||
\(511\) | −15.2178 | + | 37.6654i | −0.673196 | + | 1.66622i | ||||
\(512\) | −5.96090 | − | 11.6989i | −0.263437 | − | 0.517024i | ||||
\(513\) | 3.06777 | + | 4.26994i | 0.135445 | + | 0.188522i | ||||
\(514\) | −3.21139 | + | 1.04344i | −0.141648 | + | 0.0460243i | ||||
\(515\) | −0.118995 | − | 1.27297i | −0.00524353 | − | 0.0560936i | ||||
\(516\) | 2.25682 | − | 0.0788100i | 0.0993512 | − | 0.00346942i | ||||
\(517\) | −11.1252 | + | 3.83072i | −0.489286 | + | 0.168475i | ||||
\(518\) | 8.38620 | + | 11.9767i | 0.368469 | + | 0.526228i | ||||
\(519\) | −2.17918 | + | 1.46987i | −0.0956553 | + | 0.0645203i | ||||
\(520\) | −15.0518 | + | 8.80982i | −0.660066 | + | 0.386336i | ||||
\(521\) | −12.3130 | + | 1.29415i | −0.539443 | + | 0.0566978i | −0.370332 | − | 0.928899i | \(-0.620756\pi\) |
−0.169111 | + | 0.985597i | \(0.554090\pi\) | |||||||
\(522\) | 14.9715 | − | 8.99576i | 0.655283 | − | 0.393734i | ||||
\(523\) | 0.0508992 | + | 0.220469i | 0.00222567 | + | 0.00964042i | 0.975471 | − | 0.220128i | \(-0.0706475\pi\) |
−0.973245 | + | 0.229769i | \(0.926203\pi\) | |||||||
\(524\) | 18.6439 | + | 10.7640i | 0.814461 | + | 0.470229i | ||||
\(525\) | −2.77233 | − | 0.258120i | −0.120994 | − | 0.0112653i | ||||
\(526\) | −4.27265 | + | 11.7390i | −0.186296 | + | 0.511845i | ||||
\(527\) | 0.718766 | − | 0.953834i | 0.0313099 | − | 0.0415497i | ||||
\(528\) | −0.00487883 | − | 0.279508i | −0.000212324 | − | 0.0121640i | ||||
\(529\) | 9.07811 | + | 6.12326i | 0.394700 | + | 0.266229i | ||||
\(530\) | 2.33666 | − | 5.88384i | 0.101498 | − | 0.255578i | ||||
\(531\) | −10.4319 | + | 14.3583i | −0.452707 | + | 0.623098i | ||||
\(532\) | −14.8939 | + | 9.93132i | −0.645731 | + | 0.430577i | ||||
\(533\) | −28.7243 | + | 4.54948i | −1.24419 | + | 0.197060i | ||||
\(534\) | 0.518029 | − | 0.323700i | 0.0224173 | − | 0.0140079i | ||||
\(535\) | 10.7760 | − | 6.05722i | 0.465888 | − | 0.261876i | ||||
\(536\) | −18.8041 | + | 9.99833i | −0.812214 | + | 0.431862i | ||||
\(537\) | 0.995911 | + | 3.25748i | 0.0429767 | + | 0.140571i | ||||
\(538\) | 2.62684 | + | 21.3939i | 0.113251 | + | 0.922355i | ||||
\(539\) | −0.480563 | − | 0.432701i | −0.0206993 | − | 0.0186378i | ||||
\(540\) | 2.21292 | + | 3.36368i | 0.0952289 | + | 0.144750i | ||||
\(541\) | −6.44499 | − | 15.9519i | −0.277092 | − | 0.685826i | 0.722895 | − | 0.690958i | \(-0.242811\pi\) |
−0.999987 | + | 0.00513178i | \(0.998366\pi\) | |||||||
\(542\) | −3.24326 | + | 3.73094i | −0.139310 | + | 0.160258i | ||||
\(543\) | −0.372175 | − | 1.38898i | −0.0159716 | − | 0.0596067i | ||||
\(544\) | 0.211636 | − | 2.01358i | 0.00907383 | − | 0.0863317i | ||||
\(545\) | −41.7044 | + | 12.2271i | −1.78642 | + | 0.523753i | ||||
\(546\) | −1.11766 | + | 0.545117i | −0.0478312 | + | 0.0233289i | ||||
\(547\) | −27.2710 | + | 0.476017i | −1.16602 | + | 0.0203530i | −0.597191 | − | 0.802099i | \(-0.703716\pi\) |
−0.568834 | + | 0.822452i | \(0.692605\pi\) | |||||||
\(548\) | −10.5323 | − | 1.29320i | −0.449916 | − | 0.0552427i | ||||
\(549\) | −6.39939 | + | 7.62650i | −0.273119 | + | 0.325491i | ||||
\(550\) | 3.99288 | − | 0.681137i | 0.170257 | − | 0.0290438i | ||||
\(551\) | 35.4269 | + | 7.08182i | 1.50924 | + | 0.301696i | ||||
\(552\) | −0.793491 | + | 1.55731i | −0.0337732 | + | 0.0662837i | ||||
\(553\) | 11.1052 | + | 12.7750i | 0.472240 | + | 0.543250i | ||||
\(554\) | 9.17940 | − | 13.6090i | 0.389995 | − | 0.578192i | ||||
\(555\) | 3.34751 | + | 0.450199i | 0.142094 | + | 0.0191099i | ||||
\(556\) | −7.27728 | + | 7.02759i | −0.308625 | + | 0.298036i | ||||
\(557\) | −5.74085 | − | 12.3113i | −0.243248 | − | 0.521646i | 0.746342 | − | 0.665562i | \(-0.231808\pi\) |
−0.989590 | + | 0.143916i | \(0.954030\pi\) | |||||||
\(558\) | −4.56835 | − | 5.64144i | −0.193394 | − | 0.238821i | ||||
\(559\) | −15.6797 | − | 17.4140i | −0.663180 | − | 0.736536i | ||||
\(560\) | −6.37895 | + | 3.88463i | −0.269560 | + | 0.164155i | ||||
\(561\) | 0.0423044 | − | 0.0677012i | 0.00178609 | − | 0.00285835i | ||||
\(562\) | 0.714718 | − | 13.6376i | 0.0301486 | − | 0.575269i | ||||
\(563\) | 31.3198 | + | 20.3393i | 1.31997 | + | 0.857200i | 0.996042 | − | 0.0888804i | \(-0.0283289\pi\) |
0.323931 | + | 0.946081i | \(0.394996\pi\) | |||||||
\(564\) | −0.109080 | + | 3.12365i | −0.00459311 | + | 0.131529i | ||||
\(565\) | −4.75446 | + | 14.0791i | −0.200022 | + | 0.592313i | ||||
\(566\) | 2.38163 | − | 16.9462i | 0.100107 | − | 0.712300i | ||||
\(567\) | −11.5142 | − | 20.7722i | −0.483551 | − | 0.872349i | ||||
\(568\) | 26.3133 | − | 2.30212i | 1.10408 | − | 0.0965946i | ||||
\(569\) | −34.6887 | − | 25.2028i | −1.45423 | − | 1.05656i | −0.984821 | − | 0.173574i | \(-0.944468\pi\) |
−0.469405 | − | 0.882983i | \(-0.655532\pi\) | |||||||
\(570\) | 0.218927 | − | 1.38789i | 0.00916983 | − | 0.0581323i | ||||
\(571\) | 18.6138 | − | 13.5237i | 0.778964 | − | 0.565951i | −0.125704 | − | 0.992068i | \(-0.540119\pi\) |
0.904668 | + | 0.426117i | \(0.140119\pi\) | |||||||
\(572\) | −4.01844 | + | 3.49318i | −0.168019 | + | 0.146057i | ||||
\(573\) | 0.119436 | − | 0.972730i | 0.00498952 | − | 0.0406364i | ||||
\(574\) | 17.8960 | − | 3.15556i | 0.746967 | − | 0.131710i | ||||
\(575\) | 16.4768 | + | 5.45532i | 0.687130 | + | 0.227503i | ||||
\(576\) | −4.81210 | − | 1.75146i | −0.200504 | − | 0.0729775i | ||||
\(577\) | 10.5491 | − | 0.552855i | 0.439165 | − | 0.0230157i | 0.168527 | − | 0.985697i | \(-0.446099\pi\) |
0.270638 | + | 0.962681i | \(0.412765\pi\) | |||||||
\(578\) | −7.56526 | + | 9.34232i | −0.314674 | + | 0.388589i | ||||
\(579\) | 3.23223 | + | 0.805887i | 0.134327 | + | 0.0334915i | ||||
\(580\) | 26.8840 | + | 6.53353i | 1.11630 | + | 0.271290i | ||||
\(581\) | 0.0989681 | − | 0.0440634i | 0.00410589 | − | 0.00182806i | ||||
\(582\) | −1.39700 | − | 0.374326i | −0.0579076 | − | 0.0155163i | ||||
\(583\) | 0.862879 | − | 4.43913i | 0.0357368 | − | 0.183850i | ||||
\(584\) | −32.4315 | − | 17.2442i | −1.34203 | − | 0.713568i | ||||
\(585\) | 5.94775 | − | 19.8758i | 0.245909 | − | 0.821762i | ||||
\(586\) | 0.990559 | + | 1.26786i | 0.0409196 | + | 0.0523747i | ||||
\(587\) | 15.7548 | + | 3.63729i | 0.650272 | + | 0.150127i | 0.537193 | − | 0.843459i | \(-0.319485\pi\) |
0.113078 | + | 0.993586i | \(0.463929\pi\) | |||||||
\(588\) | −0.153055 | + | 0.0779854i | −0.00631188 | + | 0.00321606i | ||||
\(589\) | 0.865483 | − | 14.9902i | 0.0356616 | − | 0.617660i | ||||
\(590\) | 9.42477 | − | 1.55019i | 0.388011 | − | 0.0638202i | ||||
\(591\) | −0.114144 | − | 0.182669i | −0.00469526 | − | 0.00751398i | ||||
\(592\) | 7.92426 | − | 4.39249i | 0.325685 | − | 0.180530i | ||||
\(593\) | 1.24329 | + | 0.870563i | 0.0510559 | + | 0.0357497i | 0.598826 | − | 0.800879i | \(-0.295634\pi\) |
−0.547770 | + | 0.836629i | \(0.684523\pi\) | |||||||
\(594\) | −0.678792 | − | 0.702910i | −0.0278512 | − | 0.0288407i | ||||
\(595\) | −2.13196 | − | 0.0617710i | −0.0874017 | − | 0.00253237i | ||||
\(596\) | −21.4734 | − | 9.56056i | −0.879584 | − | 0.391616i | ||||
\(597\) | 2.55740 | + | 2.07094i | 0.104668 | + | 0.0847581i | ||||
\(598\) | 7.55288 | − | 1.74372i | 0.308860 | − | 0.0713060i | ||||
\(599\) | −12.0346 | + | 10.0982i | −0.491721 | + | 0.412603i | −0.854643 | − | 0.519217i | \(-0.826224\pi\) |
0.362922 | + | 0.931820i | \(0.381779\pi\) | |||||||
\(600\) | 0.494129 | − | 2.46856i | 0.0201728 | − | 0.100779i | ||||
\(601\) | 16.1073 | − | 9.29954i | 0.657030 | − | 0.379336i | −0.134115 | − | 0.990966i | \(-0.542819\pi\) |
0.791144 | + | 0.611630i | \(0.209486\pi\) | |||||||
\(602\) | 9.98587 | + | 10.7085i | 0.406994 | + | 0.436447i | ||||
\(603\) | 8.24800 | − | 23.9539i | 0.335885 | − | 0.975480i | ||||
\(604\) | 4.58504 | + | 4.42772i | 0.186563 | + | 0.180162i | ||||
\(605\) | −20.3500 | + | 7.54402i | −0.827347 | + | 0.306708i | ||||
\(606\) | 0.231427 | + | 0.928203i | 0.00940108 | + | 0.0377057i | ||||
\(607\) | −21.7410 | + | 21.7410i | −0.882441 | + | 0.882441i | −0.993782 | − | 0.111341i | \(-0.964485\pi\) |
0.111341 | + | 0.993782i | \(0.464485\pi\) | |||||||
\(608\) | −11.8305 | − | 22.5380i | −0.479790 | − | 0.914036i | ||||
\(609\) | 4.38955 | + | 1.42625i | 0.177874 | + | 0.0577946i | ||||
\(610\) | 5.33462 | − | 0.498670i | 0.215992 | − | 0.0201906i | ||||
\(611\) | 25.5578 | − | 19.9679i | 1.03396 | − | 0.807816i | ||||
\(612\) | 0.921696 | + | 1.22313i | 0.0372574 | + | 0.0494422i | ||||
\(613\) | 12.6455 | − | 3.86613i | 0.510749 | − | 0.156152i | −0.0263796 | − | 0.999652i | \(-0.508398\pi\) |
0.537129 | + | 0.843500i | \(0.319509\pi\) | |||||||
\(614\) | 5.87171 | + | 0.205045i | 0.236963 | + | 0.00827492i | ||||
\(615\) | 2.26546 | − | 3.53429i | 0.0913520 | − | 0.142516i | ||||
\(616\) | 5.78493 | − | 5.20878i | 0.233082 | − | 0.209868i | ||||
\(617\) | −20.6272 | − | 17.9309i | −0.830418 | − | 0.721871i | 0.132640 | − | 0.991164i | \(-0.457655\pi\) |
−0.963058 | + | 0.269293i | \(0.913210\pi\) | |||||||
\(618\) | 0.0821099 | + | 0.00718369i | 0.00330294 | + | 0.000288970i | ||||
\(619\) | 7.00022 | + | 15.7227i | 0.281362 | + | 0.631950i | 0.997842 | − | 0.0656574i | \(-0.0209144\pi\) |
−0.716480 | + | 0.697608i | \(0.754248\pi\) | |||||||
\(620\) | 1.13397 | − | 11.4425i | 0.0455412 | − | 0.459542i | ||||
\(621\) | −1.15411 | − | 4.02487i | −0.0463130 | − | 0.161513i | ||||
\(622\) | 20.8967 | + | 7.19530i | 0.837880 | + | 0.288505i | ||||
\(623\) | −11.1482 | − | 3.40834i | −0.446643 | − | 0.136552i | ||||
\(624\) | 0.263551 | + | 0.724101i | 0.0105505 | + | 0.0289872i | ||||
\(625\) | −24.9735 | − | 1.15084i | −0.998940 | − | 0.0460336i | ||||
\(626\) | 19.9237i | 0.796310i | ||||||||
\(627\) | −0.0296975 | − | 1.00321i | −0.00118601 | − | 0.0400643i | ||||
\(628\) | 3.29246 | − | 20.7878i | 0.131383 | − | 0.829522i | ||||
\(629\) | 2.58105 | + | 0.180485i | 0.102913 | + | 0.00719639i | ||||
\(630\) | −3.49914 | + | 12.4824i | −0.139409 | + | 0.497309i | ||||
\(631\) | −4.02921 | + | 8.26111i | −0.160400 | + | 0.328870i | −0.963825 | − | 0.266538i | \(-0.914120\pi\) |
0.803424 | + | 0.595407i | \(0.203009\pi\) | |||||||
\(632\) | −12.5373 | + | 8.77868i | −0.498705 | + | 0.349197i | ||||
\(633\) | −0.755921 | − | 0.146936i | −0.0300451 | − | 0.00584018i | ||||
\(634\) | 1.85956 | + | 8.74853i | 0.0738525 | + | 0.347448i | ||||
\(635\) | 37.9616 | + | 1.76341i | 1.50646 | + | 0.0699787i | ||||
\(636\) | −1.01873 | − | 0.636576i | −0.0403954 | − | 0.0252419i | ||||
\(637\) | 1.64080 | + | 0.696480i | 0.0650110 | + | 0.0275955i | ||||
\(638\) | −6.70524 | − | 0.351407i | −0.265463 | − | 0.0139123i | ||||
\(639\) | −21.0247 | + | 23.3503i | −0.831726 | + | 0.923725i | ||||
\(640\) | −9.99780 | − | 21.1120i | −0.395198 | − | 0.834525i | ||||
\(641\) | 12.4173 | − | 23.3536i | 0.490455 | − | 0.922412i | −0.507691 | − | 0.861539i | \(-0.669501\pi\) |
0.998146 | − | 0.0608722i | \(-0.0193882\pi\) | |||||||
\(642\) | 0.259458 | + | 0.753520i | 0.0102400 | + | 0.0297391i | ||||
\(643\) | 19.7530 | − | 42.3604i | 0.778981 | − | 1.67053i | 0.0377423 | − | 0.999288i | \(-0.487983\pi\) |
0.741238 | − | 0.671242i | \(-0.234239\pi\) | |||||||
\(644\) | 13.8326 | − | 3.44885i | 0.545080 | − | 0.135904i | ||||
\(645\) | 3.38248 | − | 0.0200949i | 0.133185 | − | 0.000791237i | ||||
\(646\) | 0.0995006 | − | 1.07169i | 0.00391480 | − | 0.0421651i | ||||
\(647\) | 33.4907 | + | 5.30441i | 1.31666 | + | 0.208538i | 0.774946 | − | 0.632028i | \(-0.217777\pi\) |
0.541710 | + | 0.840566i | \(0.317777\pi\) | |||||||
\(648\) | 19.7672 | − | 8.39067i | 0.776528 | − | 0.329616i | ||||
\(649\) | 6.41125 | − | 2.33350i | 0.251664 | − | 0.0915981i | ||||
\(650\) | −9.79536 | + | 5.35853i | −0.384205 | + | 0.210179i | ||||
\(651\) | 0.333099 | − | 1.88910i | 0.0130552 | − | 0.0740395i | ||||
\(652\) | −26.0601 | + | 24.3014i | −1.02059 | + | 0.951717i | ||||
\(653\) | 41.1214 | − | 15.7850i | 1.60920 | − | 0.617715i | 0.622848 | − | 0.782343i | \(-0.285976\pi\) |
0.986356 | + | 0.164627i | \(0.0526422\pi\) | |||||||
\(654\) | −0.292866 | − | 2.78643i | −0.0114520 | − | 0.108958i | ||||
\(655\) | 27.4478 | + | 16.9254i | 1.07247 | + | 0.661330i | ||||
\(656\) | −0.785517 | − | 11.2334i | −0.0306693 | − | 0.438591i | ||||
\(657\) | 42.2051 | − | 11.3088i | 1.64658 | − | 0.441199i | ||||
\(658\) | −15.7496 | + | 12.7538i | −0.613984 | + | 0.497195i | ||||
\(659\) | 20.4509 | − | 26.1759i | 0.796652 | − | 1.01967i | −0.202532 | − | 0.979276i | \(-0.564917\pi\) |
0.999184 | − | 0.0403927i | \(-0.0128609\pi\) | |||||||
\(660\) | 0.00884817 | − | 0.768539i | 0.000344415 | − | 0.0299153i | ||||
\(661\) | −2.50277 | − | 4.70703i | −0.0973466 | − | 0.183082i | 0.829516 | − | 0.558483i | \(-0.188616\pi\) |
−0.926863 | + | 0.375400i | \(0.877505\pi\) | |||||||
\(662\) | −4.79997 | + | 5.14734i | −0.186556 | + | 0.200057i | ||||
\(663\) | −0.0495014 | + | 0.214414i | −0.00192247 | + | 0.00832715i | ||||
\(664\) | 0.0302694 | + | 0.0931595i | 0.00117468 | + | 0.00361529i | ||||
\(665\) | −22.7309 | + | 14.2237i | −0.881465 | + | 0.551571i | ||||
\(666\) | 4.85961 | − | 14.9563i | 0.188306 | − | 0.579546i | ||||
\(667\) | −24.6616 | − | 14.8182i | −0.954899 | − | 0.573761i | ||||
\(668\) | −8.62024 | − | 4.01968i | −0.333527 | − | 0.155526i | ||||
\(669\) | −0.265592 | − | 0.129538i | −0.0102684 | − | 0.00500823i | ||||
\(670\) | −12.2186 | + | 6.04951i | −0.472045 | + | 0.233713i | ||||
\(671\) | 3.67895 | − | 1.05492i | 0.142024 | − | 0.0407248i | ||||
\(672\) | −1.16537 | − | 3.03589i | −0.0449550 | − | 0.117112i | ||||
\(673\) | −10.5048 | − | 16.1759i | −0.404930 | − | 0.623537i | 0.576104 | − | 0.817377i | \(-0.304572\pi\) |
−0.981033 | + | 0.193840i | \(0.937906\pi\) | |||||||
\(674\) | −2.54075 | − | 3.02795i | −0.0978660 | − | 0.116632i | ||||
\(675\) | 3.16740 | + | 5.13232i | 0.121913 | + | 0.197543i | ||||
\(676\) | −2.36487 | + | 4.09608i | −0.0909567 | + | 0.157542i | ||||
\(677\) | −0.323438 | − | 6.17156i | −0.0124307 | − | 0.237192i | −0.997778 | − | 0.0666306i | \(-0.978775\pi\) |
0.985347 | − | 0.170562i | \(-0.0545582\pi\) | |||||||
\(678\) | −0.837896 | − | 0.464453i | −0.0321792 | − | 0.0178372i | ||||
\(679\) | 12.0996 | + | 24.8078i | 0.464338 | + | 0.952035i | ||||
\(680\) | 0.257043 | − | 1.91128i | 0.00985716 | − | 0.0732942i | ||||
\(681\) | 0.0939219 | + | 0.0269317i | 0.00359909 | + | 0.00103202i | ||||
\(682\) | 0.243217 | + | 2.77999i | 0.00931328 | + | 0.106451i | ||||
\(683\) | −0.127021 | − | 0.801977i | −0.00486031 | − | 0.0306868i | 0.985139 | − | 0.171759i | \(-0.0549450\pi\) |
−0.989999 | + | 0.141072i | \(0.954945\pi\) | |||||||
\(684\) | 18.1719 | + | 6.36526i | 0.694818 | + | 0.243382i | ||||
\(685\) | −15.7135 | − | 2.39317i | −0.600381 | − | 0.0914382i | ||||
\(686\) | 11.6834 | + | 4.72040i | 0.446074 | + | 0.180226i | ||||
\(687\) | −3.53372 | − | 3.29525i | −0.134820 | − | 0.125722i | ||||
\(688\) | 7.24631 | − | 5.46049i | 0.276263 | − | 0.208179i | ||||
\(689\) | 1.73484 | + | 12.3440i | 0.0660921 | + | 0.470270i | ||||
\(690\) | −0.536648 | + | 0.981849i | −0.0204298 | + | 0.0373784i | ||||
\(691\) | −10.3963 | + | 2.20980i | −0.395493 | + | 0.0840647i | −0.401365 | − | 0.915918i | \(-0.631464\pi\) |
0.00587198 | + | 0.999983i | \(0.498131\pi\) | |||||||
\(692\) | −6.94716 | + | 18.0980i | −0.264092 | + | 0.687982i | ||||
\(693\) | −0.807067 | + | 9.22482i | −0.0306579 | + | 0.350422i | ||||
\(694\) | 15.9782 | − | 1.11731i | 0.606525 | − | 0.0424124i | ||||
\(695\) | −11.2009 | + | 10.2064i | −0.424873 | + | 0.387153i | ||||
\(696\) | −1.69739 | + | 3.81241i | −0.0643396 | + | 0.144509i | ||||
\(697\) | 1.55904 | − | 2.81259i | 0.0590530 | − | 0.106534i | ||||
\(698\) | 3.58499 | + | 2.70148i | 0.135694 | + | 0.102253i | ||||
\(699\) | 0.126279 | + | 0.716165i | 0.00477632 | + | 0.0270878i | ||||
\(700\) | −17.8401 | + | 10.1679i | −0.674293 | + | 0.384310i | ||||
\(701\) | −0.288577 | − | 0.242145i | −0.0108994 | − | 0.00914569i | 0.637322 | − | 0.770598i | \(-0.280042\pi\) |
−0.648221 | + | 0.761452i | \(0.724487\pi\) | |||||||
\(702\) | 2.39994 | + | 1.22283i | 0.0905797 | + | 0.0461527i | ||||
\(703\) | 28.2563 | − | 16.1143i | 1.06571 | − | 0.607761i | ||||
\(704\) | 1.15712 | + | 1.59264i | 0.0436106 | + | 0.0600249i | ||||
\(705\) | −0.298831 | + | 4.67220i | −0.0112546 | + | 0.175965i | ||||
\(706\) | 4.99868 | − | 17.4325i | 0.188128 | − | 0.656080i | ||||
\(707\) | 10.4714 | − | 14.9547i | 0.393817 | − | 0.562429i | ||||
\(708\) | 0.0316302 | − | 1.81209i | 0.00118873 | − | 0.0681026i | ||||
\(709\) | −1.95892 | − | 1.53047i | −0.0735687 | − | 0.0574781i | 0.578206 | − | 0.815891i | \(-0.303753\pi\) |
−0.651775 | + | 0.758413i | \(0.725975\pi\) | |||||||
\(710\) | 16.8812 | − | 0.985301i | 0.633539 | − | 0.0369777i | ||||
\(711\) | 3.78535 | − | 17.8087i | 0.141962 | − | 0.667877i | ||||
\(712\) | 4.11853 | − | 9.70264i | 0.154348 | − | 0.363622i | ||||
\(713\) | −4.67220 | + | 11.0070i | −0.174975 | + | 0.412216i | ||||
\(714\) | 0.0285881 | − | 0.134496i | 0.00106988 | − | 0.00503339i | ||||
\(715\) | −6.16821 | + | 5.05588i | −0.230678 | + | 0.189079i | ||||
\(716\) | 19.7960 | + | 15.4663i | 0.739811 | + | 0.578004i | ||||
\(717\) | 0.0665109 | − | 3.81041i | 0.00248390 | − | 0.142302i | ||||
\(718\) | 2.76378 | − | 3.94708i | 0.103143 | − | 0.147304i | ||||
\(719\) | −1.32606 | + | 4.62453i | −0.0494537 | + | 0.172466i | −0.982113 | − | 0.188293i | \(-0.939704\pi\) |
0.932659 | + | 0.360759i | \(0.117482\pi\) | |||||||
\(720\) | 7.46601 | + | 2.96499i | 0.278242 | + | 0.110499i | ||||
\(721\) | −0.924580 | − | 1.27257i | −0.0344331 | − | 0.0473932i | ||||
\(722\) | −6.43398 | − | 11.9038i | −0.239448 | − | 0.443012i | ||||
\(723\) | −4.02058 | − | 2.04859i | −0.149527 | − | 0.0761878i | ||||
\(724\) | −8.12391 | − | 6.81677i | −0.301923 | − | 0.253343i | ||||
\(725\) | 39.9689 | + | 10.9487i | 1.48441 | + | 0.406624i | ||||
\(726\) | −0.242964 | − | 1.37792i | −0.00901725 | − | 0.0511394i | ||||
\(727\) | −9.42822 | − | 7.10467i | −0.349673 | − | 0.263498i | 0.412380 | − | 0.911012i | \(-0.364698\pi\) |
−0.762053 | + | 0.647514i | \(0.775809\pi\) | |||||||
\(728\) | −10.4028 | + | 18.7671i | −0.385552 | + | 0.695555i | ||||
\(729\) | −10.0922 | + | 22.6674i | −0.373785 | + | 0.839535i | ||||
\(730\) | −20.4340 | − | 11.6362i | −0.756295 | − | 0.430677i | ||||
\(731\) | 2.58479 | − | 0.180746i | 0.0956018 | − | 0.00668513i | ||||
\(732\) | 0.0886069 | − | 1.01278i | 0.00327500 | − | 0.0374335i | ||||
\(733\) | 7.32473 | − | 19.0816i | 0.270545 | − | 0.704794i | −0.729244 | − | 0.684254i | \(-0.760128\pi\) |
0.999789 | − | 0.0205401i | \(-0.00653856\pi\) | |||||||
\(734\) | −7.35093 | + | 1.56249i | −0.271328 | + | 0.0576725i | ||||
\(735\) | −0.232547 | + | 0.110125i | −0.00857762 | + | 0.00406202i | ||||
\(736\) | 2.82118 | + | 20.0737i | 0.103990 | + | 0.739927i | ||||
\(737\) | −7.77797 | + | 5.86112i | −0.286505 | + | 0.215897i | ||||
\(738\) | −14.2948 | − | 13.3301i | −0.526198 | − | 0.490688i | ||||
\(739\) | 40.4947 | + | 16.3609i | 1.48962 | + | 0.601846i | 0.967915 | − | 0.251279i | \(-0.0808513\pi\) |
0.521706 | + | 0.853125i | \(0.325296\pi\) | |||||||
\(740\) | 22.1274 | − | 11.4406i | 0.813420 | − | 0.420564i | ||||
\(741\) | 0.977699 | + | 2.58801i | 0.0359167 | + | 0.0950728i | ||||
\(742\) | −1.21847 | − | 7.69309i | −0.0447313 | − | 0.282422i | ||||
\(743\) | 0.0853243 | + | 0.975262i | 0.00313025 | + | 0.0357789i | 0.997599 | − | 0.0692522i | \(-0.0220613\pi\) |
−0.994469 | + | 0.105031i | \(0.966506\pi\) | |||||||
\(744\) | 1.66725 | + | 0.478075i | 0.0611243 | + | 0.0175271i | ||||
\(745\) | −31.7366 | − | 15.2462i | −1.16274 | − | 0.558579i | ||||
\(746\) | 0.151775 | + | 0.311186i | 0.00555689 | + | 0.0113933i | ||||
\(747\) | −0.101913 | − | 0.0564912i | −0.00372880 | − | 0.00206690i | ||||
\(748\) | −0.0308131 | − | 0.587950i | −0.00112664 | − | 0.0214976i | ||||
\(749\) | 7.60447 | − | 13.1713i | 0.277861 | − | 0.481270i | ||||
\(750\) | 0.361975 | − | 1.57053i | 0.0132174 | − | 0.0573476i | ||||
\(751\) | −20.3086 | − | 24.2029i | −0.741073 | − | 0.883176i | 0.255422 | − | 0.966830i | \(-0.417786\pi\) |
−0.996495 | + | 0.0836533i | \(0.973341\pi\) | |||||||
\(752\) | 6.83978 | + | 10.5323i | 0.249421 | + | 0.384075i | ||||
\(753\) | 0.810129 | + | 2.11046i | 0.0295228 | + | 0.0769094i | ||||
\(754\) | 17.7912 | − | 5.10154i | 0.647916 | − | 0.185787i | ||||
\(755\) | 6.67293 | + | 6.82838i | 0.242853 | + | 0.248510i | ||||
\(756\) | 4.45235 | + | 2.17156i | 0.161930 | + | 0.0789788i | ||||
\(757\) | −18.3208 | − | 8.54315i | −0.665882 | − | 0.310506i | 0.0601273 | − | 0.998191i | \(-0.480849\pi\) |
−0.726009 | + | 0.687685i | \(0.758627\pi\) | |||||||
\(758\) | −0.0485530 | − | 0.0291736i | −0.00176353 | − | 0.00105963i | ||||
\(759\) | −0.246989 | + | 0.760154i | −0.00896513 | + | 0.0275918i | ||||
\(760\) | −10.6420 | − | 21.7846i | −0.386026 | − | 0.790210i | ||||
\(761\) | 12.7215 | + | 39.1526i | 0.461153 | + | 1.41928i | 0.863758 | + | 0.503908i | \(0.168105\pi\) |
−0.402605 | + | 0.915374i | \(0.631895\pi\) | |||||||
\(762\) | −0.551119 | + | 2.38716i | −0.0199649 | + | 0.0864776i | ||||
\(763\) | −36.4663 | + | 39.1053i | −1.32017 | + | 1.41571i | ||||
\(764\) | −3.39321 | − | 6.38170i | −0.122762 | − | 0.230882i | ||||
\(765\) | 1.32696 | + | 1.87134i | 0.0479764 | + | 0.0676583i | ||||
\(766\) | 16.5121 | − | 21.1345i | 0.596605 | − | 0.763620i | ||||
\(767\) | −14.6155 | + | 11.8354i | −0.527734 | + | 0.427350i | ||||
\(768\) | 2.13137 | − | 0.571099i | 0.0769093 | − | 0.0206078i | ||||
\(769\) | −1.99399 | − | 28.5153i | −0.0719050 | − | 1.02829i | −0.890815 | − | 0.454367i | \(-0.849866\pi\) |
0.818910 | − | 0.573922i | \(-0.194579\pi\) | |||||||
\(770\) | 3.79849 | − | 3.22596i | 0.136888 | − | 0.116255i | ||||
\(771\) | 0.100318 | + | 0.954465i | 0.00361288 | + | 0.0343742i | ||||
\(772\) | 22.9356 | − | 8.80415i | 0.825470 | − | 0.316868i | ||||
\(773\) | 21.6825 | − | 20.2193i | 0.779867 | − | 0.727238i | −0.187044 | − | 0.982352i | \(-0.559891\pi\) |
0.966911 | + | 0.255114i | \(0.0821129\pi\) | |||||||
\(774\) | 2.73475 | − | 15.5095i | 0.0982986 | − | 0.557479i | ||||
\(775\) | 2.19424 | − | 17.0832i | 0.0788195 | − | 0.613648i | ||||
\(776\) | −23.4514 | + | 8.53562i | −0.841857 | + | 0.306411i | ||||
\(777\) | 3.82525 | − | 1.62372i | 0.137230 | − | 0.0582507i | ||||
\(778\) | −14.5919 | − | 2.31114i | −0.523146 | − | 0.0828582i | ||||
\(779\) | −3.30960 | − | 40.2933i | −0.118579 | − | 1.44366i | ||||
\(780\) | 0.666640 | + | 2.01098i | 0.0238695 | + | 0.0720045i | ||||
\(781\) | 11.7202 | − | 2.92217i | 0.419382 | − | 0.104564i | ||||
\(782\) | −0.362239 | + | 0.776824i | −0.0129536 | + | 0.0277792i | ||||
\(783\) | −3.25482 | − | 9.45267i | −0.116318 | − | 0.337811i | ||||
\(784\) | −0.324027 | + | 0.609407i | −0.0115724 | + | 0.0217645i | ||||
\(785\) | 5.83148 | − | 30.9819i | 0.208135 | − | 1.10579i | ||||
\(786\) | −1.39105 | + | 1.54491i | −0.0496170 | + | 0.0551052i | ||||
\(787\) | 30.0564 | + | 1.57519i | 1.07139 | + | 0.0561494i | 0.579866 | − | 0.814712i | \(-0.303105\pi\) |
0.491529 | + | 0.870861i | \(0.336438\pi\) | |||||||
\(788\) | −1.46228 | − | 0.620699i | −0.0520914 | − | 0.0221115i | ||||
\(789\) | 3.01110 | + | 1.88154i | 0.107198 | + | 0.0669848i | ||||
\(790\) | −8.18564 | + | 5.38523i | −0.291232 | + | 0.191598i | ||||
\(791\) | 3.80123 | + | 17.8834i | 0.135156 | + | 0.635859i | ||||
\(792\) | −8.21894 | − | 1.59760i | −0.292047 | − | 0.0567683i | ||||
\(793\) | −8.64171 | + | 6.05099i | −0.306876 | + | 0.214877i | ||||
\(794\) | −3.44114 | + | 7.05538i | −0.122121 | + | 0.250386i | ||||
\(795\) | −1.49770 | − | 0.997316i | −0.0531179 | − | 0.0353711i | ||||
\(796\) | 24.2101 | + | 1.69294i | 0.858105 | + | 0.0600046i | ||||
\(797\) | −4.53799 | + | 28.6518i | −0.160744 | + | 1.01490i | 0.766991 | + | 0.641658i | \(0.221753\pi\) |
−0.927735 | + | 0.373240i | \(0.878247\pi\) | |||||||
\(798\) | −0.639046 | − | 1.60621i | −0.0226220 | − | 0.0568592i | ||||
\(799\) | 3.58632i | 0.126875i | ||||||||
\(800\) | −11.7271 | − | 26.7395i | −0.414617 | − | 0.945385i | ||||
\(801\) | 4.28849 | + | 11.7825i | 0.151526 | + | 0.416315i | ||||
\(802\) | 0.826952 | + | 0.252825i | 0.0292007 | + | 0.00892754i | ||||
\(803\) | −15.8819 | − | 5.46858i | −0.560460 | − | 0.192982i | ||||
\(804\) | 0.713092 | + | 2.48685i | 0.0251488 | + | 0.0877043i | ||||
\(805\) | 20.8606 | − | 4.56376i | 0.735241 | − | 0.160851i | ||||
\(806\) | −3.12871 | − | 7.02719i | −0.110204 | − | 0.247522i | ||||
\(807\) | 6.10298 | + | 0.533942i | 0.214835 | + | 0.0187956i | ||||
\(808\) | 12.4580 | + | 10.8296i | 0.438271 | + | 0.380983i | ||||
\(809\) | −40.1400 | + | 36.1422i | −1.41125 | + | 1.27069i | −0.495694 | + | 0.868497i | \(0.665086\pi\) |
−0.915554 | + | 0.402196i | \(0.868247\pi\) | |||||||
\(810\) | 12.8050 | − | 5.00288i | 0.449923 | − | 0.175783i | ||||
\(811\) | −18.1257 | − | 0.632963i | −0.636479 | − | 0.0222263i | −0.285157 | − | 0.958481i | \(-0.592046\pi\) |
−0.351322 | + | 0.936255i | \(0.614268\pi\) | |||||||
\(812\) | 32.5514 | − | 9.95196i | 1.14233 | − | 0.349245i | ||||
\(813\) | 0.845592 | + | 1.12214i | 0.0296562 | + | 0.0393551i | ||||
\(814\) | −4.76389 | + | 3.72196i | −0.166974 | + | 0.130455i | ||||
\(815\) | −40.0730 | + | 35.2551i | −1.40370 | + | 1.23493i | ||||
\(816\) | −0.0810359 | − | 0.0263302i | −0.00283682 | − | 0.000921740i | ||||
\(817\) | 25.7760 | − | 19.9188i | 0.901787 | − | 0.696869i | ||||
\(818\) | 12.0020 | − | 12.0020i | 0.419640 | − | 0.419640i | ||||
\(819\) | −6.17507 | − | 24.7668i | −0.215774 | − | 0.865424i | ||||
\(820\) | −1.26430 | − | 30.9345i | −0.0441512 | − | 1.08028i | ||||
\(821\) | 19.3331 | + | 18.6697i | 0.674729 | + | 0.651578i | 0.950888 | − | 0.309534i | \(-0.100173\pi\) |
−0.276160 | + | 0.961112i | \(0.589062\pi\) | |||||||
\(822\) | 0.333610 | − | 0.968872i | 0.0116360 | − | 0.0337933i | ||||
\(823\) | 12.5098 | + | 13.4151i | 0.436064 | + | 0.467621i | 0.911004 | − | 0.412397i | \(-0.135308\pi\) |
−0.474941 | + | 0.880018i | \(0.657530\pi\) | |||||||
\(824\) | 1.23172 | − | 0.711134i | 0.0429090 | − | 0.0247735i | ||||
\(825\) | 0.0465884 | − | 1.15032i | 0.00162200 | − | 0.0400490i | ||||
\(826\) | 9.00203 | − | 7.55360i | 0.313221 | − | 0.262823i | ||||
\(827\) | −28.8828 | + | 6.66812i | −1.00435 | + | 0.231873i | −0.694950 | − | 0.719058i | \(-0.744574\pi\) |
−0.309403 | + | 0.950931i | \(0.600129\pi\) | |||||||
\(828\) | −11.9164 | − | 9.64974i | −0.414125 | − | 0.335352i | ||||
\(829\) | 15.0352 | + | 6.69411i | 0.522195 | + | 0.232496i | 0.650868 | − | 0.759191i | \(-0.274405\pi\) |
−0.128673 | + | 0.991687i | \(0.541072\pi\) | |||||||
\(830\) | 0.0176428 | + | 0.0601761i | 0.000612390 | + | 0.00208874i | ||||
\(831\) | −3.24103 | − | 3.35619i | −0.112430 | − | 0.116425i | ||||
\(832\) | −4.44506 | − | 3.11246i | −0.154105 | − | 0.107905i | ||||
\(833\) | −0.172388 | + | 0.0955563i | −0.00597290 | + | 0.00331083i | ||||
\(834\) | −0.517691 | − | 0.828478i | −0.0179262 | − | 0.0286878i | ||||
\(835\) | −12.7324 | − | 6.39248i | −0.440622 | − | 0.221221i | ||||
\(836\) | −4.42309 | − | 5.93498i | −0.152976 | − | 0.205266i | ||||
\(837\) | −3.70215 | + | 1.88634i | −0.127965 | + | 0.0652015i | ||||
\(838\) | −24.3477 | − | 5.62111i | −0.841077 | − | 0.194178i | ||||
\(839\) | 20.7977 | + | 26.6198i | 0.718017 | + | 0.919019i | 0.999174 | − | 0.0406425i | \(-0.0129405\pi\) |
−0.281157 | + | 0.959662i | \(0.590718\pi\) | |||||||
\(840\) | −1.02579 | − | 2.92259i | −0.0353931 | − | 0.100839i | ||||
\(841\) | −35.0491 | − | 18.6359i | −1.20859 | − | 0.642619i | ||||
\(842\) | −1.28992 | + | 6.63607i | −0.0444536 | + | 0.228694i | ||||
\(843\) | −3.74919 | − | 1.00459i | −0.129129 | − | 0.0346000i | ||||
\(844\) | −5.18823 | + | 2.30995i | −0.178586 | + | 0.0795118i | ||||
\(845\) | −3.71853 | + | 6.03032i | −0.127921 | + | 0.207449i | ||||
\(846\) | 21.1503 | + | 5.27336i | 0.727162 | + | 0.181302i | ||||
\(847\) | −16.8042 | + | 20.7515i | −0.577400 | + | 0.713029i | ||||
\(848\) | −4.82004 | + | 0.252608i | −0.165521 | + | 0.00867458i | ||||
\(849\) | −4.57050 | − | 1.66353i | −0.156859 | − | 0.0570921i | ||||
\(850\) | 0.199925 | − | 1.21831i | 0.00685737 | − | 0.0417875i | ||||
\(851\) | −25.5109 | + | 4.49826i | −0.874503 | + | 0.154199i | ||||
\(852\) | 0.391034 | − | 3.18472i | 0.0133966 | − | 0.109107i | ||||
\(853\) | 17.1033 | − | 14.8677i | 0.585607 | − | 0.509060i | −0.311868 | − | 0.950125i | \(-0.600955\pi\) |
0.897475 | + | 0.441065i | \(0.145399\pi\) | |||||||
\(854\) | 5.33297 | − | 3.87463i | 0.182491 | − | 0.132587i | ||||
\(855\) | 26.9319 | + | 10.3188i | 0.921052 | + | 0.352895i | ||||
\(856\) | 11.1253 | + | 8.08302i | 0.380256 | + | 0.276272i | ||||
\(857\) | 31.3445 | − | 2.74229i | 1.07071 | − | 0.0936749i | 0.461854 | − | 0.886956i | \(-0.347185\pi\) |
0.608855 | + | 0.793281i | \(0.291629\pi\) | |||||||
\(858\) | −0.249273 | − | 0.449700i | −0.00851003 | − | 0.0153525i | ||||
\(859\) | 2.87704 | − | 20.4712i | 0.0981634 | − | 0.698469i | −0.877561 | − | 0.479466i | \(-0.840831\pi\) |
0.975724 | − | 0.219003i | \(-0.0702806\pi\) | |||||||
\(860\) | 20.3493 | − | 14.4296i | 0.693905 | − | 0.492047i | ||||
\(861\) | 0.180254 | − | 5.16179i | 0.00614303 | − | 0.175913i | ||||
\(862\) | −17.4004 | − | 11.3000i | −0.592661 | − | 0.384878i | ||||
\(863\) | −1.20727 | + | 23.0361i | −0.0410960 | + | 0.784158i | 0.897894 | + | 0.440212i | \(0.145097\pi\) |
−0.938990 | + | 0.343945i | \(0.888237\pi\) | |||||||
\(864\) | −3.73263 | + | 5.97345i | −0.126986 | + | 0.203221i | ||||
\(865\) | −11.1869 | + | 26.7961i | −0.380364 | + | 0.911093i | ||||
\(866\) | 2.72144 | + | 3.02247i | 0.0924783 | + | 0.102708i | ||||
\(867\) | 2.15022 | + | 2.65531i | 0.0730254 | + | 0.0901789i | ||||
\(868\) | −5.97875 | − | 12.8215i | −0.202932 | − | 0.435189i | ||||
\(869\) | −5.03468 | + | 4.86193i | −0.170790 | + | 0.164930i | ||||
\(870\) | −1.15689 | + | 2.40818i | −0.0392222 | + | 0.0816449i | ||||
\(871\) | 15.0118 | − | 22.2559i | 0.508655 | − | 0.754112i | ||||
\(872\) | −31.7181 | − | 36.4875i | −1.07411 | − | 1.23562i | ||||
\(873\) | 13.4778 | − | 26.4517i | 0.456154 | − | 0.895253i | ||||
\(874\) | 1.62915 | + | 10.6520i | 0.0551068 | + | 0.360310i | ||||
\(875\) | −27.1525 | + | 14.4501i | −0.917920 | + | 0.488502i | ||||
\(876\) | −2.86807 | + | 3.41803i | −0.0969030 | + | 0.115484i | ||||
\(877\) | −14.7625 | − | 1.81261i | −0.498494 | − | 0.0612074i | −0.131283 | − | 0.991345i | \(-0.541910\pi\) |
−0.367211 | + | 0.930138i | \(0.619687\pi\) | |||||||
\(878\) | 14.7105 | − | 0.256772i | 0.496454 | − | 0.00866564i | ||||
\(879\) | 0.411016 | − | 0.200466i | 0.0138632 | − | 0.00676154i | ||||
\(880\) | −1.74206 | − | 2.54990i | −0.0587248 | − | 0.0859571i | ||||
\(881\) | −0.103247 | + | 0.982331i | −0.00347848 | + | 0.0330956i | −0.996123 | − | 0.0879662i | \(-0.971963\pi\) |
0.992645 | + | 0.121062i | \(0.0386299\pi\) | |||||||
\(882\) | 0.310061 | + | 1.15717i | 0.0104403 | + | 0.0389638i | ||||
\(883\) | −20.4238 | + | 23.4949i | −0.687315 | + | 0.790666i | −0.986541 | − | 0.163517i | \(-0.947716\pi\) |
0.299225 | + | 0.954182i | \(0.403272\pi\) | |||||||
\(884\) | 0.607945 | + | 1.50472i | 0.0204474 | + | 0.0506091i | ||||
\(885\) | 0.125970 | − | 2.71181i | 0.00423443 | − | 0.0911564i | ||||
\(886\) | −4.70512 | − | 4.23650i | −0.158071 | − | 0.142328i | ||||
\(887\) | 6.36207 | + | 51.8149i | 0.213618 | + | 1.73978i | 0.584766 | + | 0.811202i | \(0.301186\pi\) |
−0.371149 | + | 0.928573i | \(0.621036\pi\) | |||||||
\(888\) | 1.09856 | + | 3.59324i | 0.0368653 | + | 0.120581i | ||||
\(889\) | 41.2825 | − | 21.9503i | 1.38457 | − | 0.736190i | ||||
\(890\) | 2.81544 | − | 6.13258i | 0.0943736 | − | 0.205565i | ||||
\(891\) | 8.32796 | − | 5.20389i | 0.278997 | − | 0.174337i | ||||
\(892\) | −2.15246 | + | 0.340916i | −0.0720696 | + | 0.0114147i | ||||
\(893\) | 25.0136 | + | 37.5125i | 0.837048 | + | 1.25531i | ||||
\(894\) | 1.33418 | − | 1.83634i | 0.0446217 | − | 0.0614164i | ||||
\(895\) | 28.9689 | + | 24.0159i | 0.968322 | + | 0.802764i | ||||
\(896\) | −23.8265 | − | 16.0711i | −0.795986 | − | 0.536899i | ||||
\(897\) | −0.0384506 | − | 2.20284i | −0.00128383 | − | 0.0735506i | ||||
\(898\) | −3.58304 | + | 4.75486i | −0.119568 | + | 0.158672i | ||||
\(899\) | −9.76494 | + | 26.8289i | −0.325679 | + | 0.894795i | ||||
\(900\) | 20.2822 | + | 8.74296i | 0.676073 | + | 0.291432i | ||||
\(901\) | −1.19369 | − | 0.689179i | −0.0397677 | − | 0.0229599i | ||||
\(902\) | 1.69024 | + | 7.32125i | 0.0562790 | + | 0.243771i | ||||
\(903\) | 3.56720 | − | 2.14339i | 0.118709 | − | 0.0713276i | ||||
\(904\) | −16.4405 | + | 1.72797i | −0.546803 | + | 0.0574713i | ||||
\(905\) | −11.8679 | − | 10.5589i | −0.394503 | − | 0.350991i | ||||
\(906\) | −0.510281 | + | 0.344189i | −0.0169529 | + | 0.0114349i | ||||
\(907\) | 9.18206 | + | 13.1133i | 0.304885 | + | 0.435421i | 0.942134 | − | 0.335237i | \(-0.108816\pi\) |
−0.637248 | + | 0.770658i | \(0.719927\pi\) | |||||||
\(908\) | 0.681326 | − | 0.234599i | 0.0226106 | − | 0.00778545i | ||||
\(909\) | −19.6242 | + | 0.685294i | −0.650895 | + | 0.0227298i | ||||
\(910\) | −7.00494 | + | 11.8166i | −0.232211 | + | 0.391717i | ||||
\(911\) | 29.6497 | − | 9.63376i | 0.982338 | − | 0.319181i | 0.226551 | − | 0.973999i | \(-0.427255\pi\) |
0.755786 | + | 0.654818i | \(0.227255\pi\) | |||||||
\(912\) | −1.03127 | + | 0.289792i | −0.0341488 | + | 0.00959598i | ||||
\(913\) | 0.0203361 | + | 0.0399118i | 0.000673026 | + | 0.00132089i | ||||
\(914\) | 5.82938 | − | 14.4282i | 0.192819 | − | 0.477243i | ||||
\(915\) | 0.176604 | − | 1.51256i | 0.00583834 | − | 0.0500036i | ||||
\(916\) | −35.2872 | − | 4.95929i | −1.16592 | − | 0.163860i | ||||
\(917\) | 39.6679 | + | 0.692405i | 1.30995 | + | 0.0228652i | ||||
\(918\) | −0.269931 | + | 0.125871i | −0.00890904 | + | 0.00415435i | ||||
\(919\) | −7.01819 | − | 0.737641i | −0.231509 | − | 0.0243325i | −0.0119363 | − | 0.999929i | \(-0.503800\pi\) |
−0.219572 | + | 0.975596i | \(0.570466\pi\) | |||||||
\(920\) | 2.13227 | + | 19.1898i | 0.0702988 | + | 0.632670i | ||||
\(921\) | 0.403984 | − | 1.62029i | 0.0133117 | − | 0.0533904i | ||||
\(922\) | −0.290811 | − | 0.483991i | −0.00957735 | − | 0.0159394i | ||||
\(923\) | −27.9239 | + | 18.1340i | −0.919125 | + | 0.596887i | ||||
\(924\) | −0.472807 | − | 0.818926i | −0.0155542 | − | 0.0269407i | ||||
\(925\) | 33.6269 | − | 16.1696i | 1.10564 | − | 0.531654i | ||||
\(926\) | −15.1134 | − | 2.66491i | −0.496658 | − | 0.0875742i | ||||
\(927\) | −0.494659 | + | 1.61796i | −0.0162467 | + | 0.0531406i | ||||
\(928\) | 9.23523 | + | 47.5111i | 0.303161 | + | 1.55963i | ||||
\(929\) | −2.52504 | + | 36.1098i | −0.0828439 | + | 1.18472i | 0.761225 | + | 0.648488i | \(0.224598\pi\) |
−0.844069 | + | 0.536235i | \(0.819846\pi\) | |||||||
\(930\) | 1.05805 | + | 0.336844i | 0.0346947 | + | 0.0110456i | ||||
\(931\) | −1.13668 | + | 2.20187i | −0.0372533 | + | 0.0721633i | ||||
\(932\) | 3.79233 | + | 3.79233i | 0.124222 | + | 0.124222i | ||||
\(933\) | 3.23524 | − | 5.38434i | 0.105917 | − | 0.176275i | ||||
\(934\) | −0.0367495 | − | 1.05237i | −0.00120248 | − | 0.0344345i | ||||
\(935\) | −0.0206292 | − | 0.881652i | −0.000674648 | − | 0.0288331i | ||||
\(936\) | 22.8547 | − | 3.21202i | 0.747029 | − | 0.104988i | ||||
\(937\) | −41.7502 | + | 5.12628i | −1.36392 | + | 0.167468i | −0.770507 | − | 0.637431i | \(-0.779997\pi\) |
−0.593412 | + | 0.804899i | \(0.702219\pi\) | |||||||
\(938\) | −9.13600 | + | 14.0682i | −0.298301 | + | 0.459343i | ||||
\(939\) | 5.53902 | + | 1.17736i | 0.180759 | + | 0.0384215i | ||||
\(940\) | 17.9586 | + | 29.4898i | 0.585744 | + | 0.961852i | ||||
\(941\) | −7.26277 | + | 2.93435i | −0.236760 | + | 0.0956571i | −0.489921 | − | 0.871767i | \(-0.662974\pi\) |
0.253161 | + | 0.967424i | \(0.418530\pi\) | |||||||
\(942\) | 1.89743 | + | 0.728354i | 0.0618215 | + | 0.0237311i | ||||
\(943\) | −8.33302 | + | 31.0993i | −0.271361 | + | 1.01273i | ||||
\(944\) | −4.07206 | − | 6.03707i | −0.132534 | − | 0.196490i | ||||
\(945\) | 6.57214 | + | 3.44454i | 0.213792 | + | 0.112051i | ||||
\(946\) | −4.20562 | + | 4.35504i | −0.136736 | + | 0.141595i | ||||
\(947\) | −33.0089 | + | 6.41627i | −1.07264 | + | 0.208501i | −0.696134 | − | 0.717912i | \(-0.745098\pi\) |
−0.376510 | + | 0.926413i | \(0.622876\pi\) | |||||||
\(948\) | 0.726449 | + | 1.71141i | 0.0235940 | + | 0.0555839i | ||||
\(949\) | 46.3005 | 1.50298 | ||||||||
\(950\) | −6.40615 | − | 14.1378i | −0.207843 | − | 0.458690i | ||||
\(951\) | 2.54209 | 0.0824328 | ||||||||
\(952\) | −0.927073 | − | 2.18405i | −0.0300466 | − | 0.0707854i | ||||
\(953\) | −33.9838 | + | 6.60578i | −1.10084 | + | 0.213982i | −0.708412 | − | 0.705799i | \(-0.750588\pi\) |
−0.392431 | + | 0.919781i | \(0.628366\pi\) | |||||||
\(954\) | −5.81965 | + | 6.02642i | −0.188418 | + | 0.195113i | ||||
\(955\) | −4.80368 | − | 9.70228i | −0.155443 | − | 0.313958i | ||||
\(956\) | −15.7166 | − | 23.3008i | −0.508312 | − | 0.753603i | ||||
\(957\) | −0.493930 | + | 1.84337i | −0.0159665 | + | 0.0595878i | ||||
\(958\) | −2.17337 | − | 0.834280i | −0.0702185 | − | 0.0269544i | ||||
\(959\) | −18.1316 | + | 7.32565i | −0.585501 | + | 0.236558i | ||||
\(960\) | 0.762166 | − | 0.180736i | 0.0245988 | − | 0.00583322i | ||||
\(961\) | −18.7158 | − | 3.97817i | −0.603736 | − | 0.128328i | ||||
\(962\) | 9.07594 | − | 13.9757i | 0.292620 | − | 0.450595i | ||||
\(963\) | −16.2366 | + | 1.99360i | −0.523216 | + | 0.0642429i | ||||
\(964\) | −32.9549 | + | 4.63151i | −1.06141 | + | 0.149171i | ||||
\(965\) | 34.7226 | − | 12.1872i | 1.11776 | − | 0.392318i | ||||
\(966\) | 0.0480445 | + | 1.37582i | 0.00154581 | + | 0.0442661i | ||||
\(967\) | 1.38442 | − | 2.30406i | 0.0445199 | − | 0.0740935i | −0.834106 | − | 0.551604i | \(-0.814016\pi\) |
0.878626 | + | 0.477510i | \(0.158461\pi\) | |||||||
\(968\) | −17.0721 | − | 17.0721i | −0.548719 | − | 0.548719i | ||||
\(969\) | −0.292063 | − | 0.0909922i | −0.00938242 | − | 0.00292309i | ||||
\(970\) | −15.1654 | + | 5.02733i | −0.486931 | + | 0.161418i | ||||
\(971\) | −2.76897 | + | 39.5982i | −0.0888606 | + | 1.27077i | 0.724610 | + | 0.689160i | \(0.242020\pi\) |
−0.813470 | + | 0.581607i | \(0.802424\pi\) | |||||||
\(972\) | −1.52847 | − | 7.86332i | −0.0490258 | − | 0.252216i | ||||
\(973\) | −5.45092 | + | 17.8292i | −0.174749 | + | 0.571577i | ||||
\(974\) | −10.1472 | − | 1.78922i | −0.325137 | − | 0.0573303i | ||||
\(975\) | 0.910896 | + | 3.03988i | 0.0291720 | + | 0.0973541i | ||||
\(976\) | −2.04243 | − | 3.53759i | −0.0653766 | − | 0.113236i | ||||
\(977\) | −24.6439 | + | 16.0039i | −0.788428 | + | 0.512011i | −0.874935 | − | 0.484240i | \(-0.839096\pi\) |
0.0865074 | + | 0.996251i | \(0.472429\pi\) | |||||||
\(978\) | −1.77220 | − | 2.94944i | −0.0566688 | − | 0.0943127i | ||||
\(979\) | 1.16611 | − | 4.67700i | 0.0372690 | − | 0.149478i | ||||
\(980\) | −0.939025 | + | 1.64899i | −0.0299960 | + | 0.0526749i | ||||
\(981\) | 57.1962 | + | 6.01156i | 1.82613 | + | 0.191934i | ||||
\(982\) | −5.84759 | + | 2.72677i | −0.186604 | + | 0.0870148i | ||||
\(983\) | −39.2916 | − | 0.685838i | −1.25321 | − | 0.0218748i | −0.613004 | − | 0.790080i | \(-0.710039\pi\) |
−0.640204 | + | 0.768205i | \(0.721150\pi\) | |||||||
\(984\) | 4.62460 | + | 0.649945i | 0.147427 | + | 0.0207195i | ||||
\(985\) | −2.16249 | − | 0.992786i | −0.0689025 | − | 0.0316328i | ||||
\(986\) | −0.766648 | + | 1.89752i | −0.0244151 | + | 0.0604294i | ||||
\(987\) | 2.61501 | + | 5.13225i | 0.0832368 | + | 0.163361i | ||||
\(988\) | 16.8540 | + | 11.4989i | 0.536198 | + | 0.365830i | ||||
\(989\) | −24.6723 | + | 8.01652i | −0.784534 | + | 0.254910i | ||||
\(990\) | −5.22987 | − | 1.17473i | −0.166216 | − | 0.0373354i | ||||
\(991\) | −25.7903 | + | 0.900618i | −0.819257 | + | 0.0286091i | −0.441462 | − | 0.897280i | \(-0.645540\pi\) |
−0.377795 | + | 0.925889i | \(0.623318\pi\) | |||||||
\(992\) | 19.0199 | − | 6.54907i | 0.603882 | − | 0.207933i | ||||
\(993\) | 1.14738 | + | 1.63862i | 0.0364109 | + | 0.0520002i | ||||
\(994\) | 17.2478 | − | 11.6338i | 0.547068 | − | 0.369002i | ||||
\(995\) | 36.1755 | + | 3.58505i | 1.14684 | + | 0.113654i | ||||
\(996\) | 0.0118338 | − | 0.00124378i | 0.000374968 | − | 3.94108e-5i | ||||
\(997\) | 24.8907 | − | 14.9558i | 0.788296 | − | 0.473656i | −0.0632106 | − | 0.998000i | \(-0.520134\pi\) |
0.851506 | + | 0.524344i | \(0.175690\pi\) | |||||||
\(998\) | 6.41157 | + | 27.7715i | 0.202955 | + | 0.879093i | ||||
\(999\) | −7.79534 | − | 4.50064i | −0.246634 | − | 0.142394i |
(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 | 475.2.bi.a.117.30 | yes | 2304 | |
19.13 | odd | 18 | inner | 475.2.bi.a.317.19 | yes | 2304 | |
25.3 | odd | 20 | inner | 475.2.bi.a.3.19 | ✓ | 2304 | |
475.203 | even | 180 | inner | 475.2.bi.a.203.30 | yes | 2304 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bi.a.3.19 | ✓ | 2304 | 25.3 | odd | 20 | inner | |
475.2.bi.a.117.30 | yes | 2304 | 1.1 | even | 1 | trivial | |
475.2.bi.a.203.30 | yes | 2304 | 475.203 | even | 180 | inner | |
475.2.bi.a.317.19 | yes | 2304 | 19.13 | odd | 18 | inner |