Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(131,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.z (of order \(6\), degree \(2\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.7 | ||
Character | \(\chi\) | \(=\) | 546.131 |
Dual form | 546.2.z.a.521.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 1.11404 | − | 1.32624i | 0.643189 | − | 0.765707i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0.737837 | − | 1.27797i | 0.329971 | − | 0.571526i | −0.652535 | − | 0.757759i | \(-0.726294\pi\) |
0.982506 | + | 0.186233i | \(0.0596278\pi\) | |||||||
\(6\) | −1.62791 | + | 0.591542i | −0.664590 | + | 0.241496i | ||||
\(7\) | 2.24993 | − | 1.39206i | 0.850393 | − | 0.526148i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −0.517844 | − | 2.95497i | −0.172615 | − | 0.984989i | ||||
\(10\) | −1.27797 | + | 0.737837i | −0.404130 | + | 0.233324i | ||||
\(11\) | 0.616972 | − | 0.356209i | 0.186024 | − | 0.107401i | −0.404096 | − | 0.914717i | \(-0.632414\pi\) |
0.590120 | + | 0.807316i | \(0.299080\pi\) | |||||||
\(12\) | 1.70558 | + | 0.301663i | 0.492358 | + | 0.0870825i | ||||
\(13\) | 1.00000i | 0.277350i | ||||||||
\(14\) | −2.64452 | + | 0.0805913i | −0.706779 | + | 0.0215389i | ||||
\(15\) | −0.872923 | − | 2.40226i | −0.225388 | − | 0.620260i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.629942 | + | 1.09109i | 0.152783 | + | 0.264628i | 0.932250 | − | 0.361816i | \(-0.117843\pi\) |
−0.779466 | + | 0.626444i | \(0.784510\pi\) | |||||||
\(18\) | −1.02902 | + | 2.81800i | −0.242542 | + | 0.664209i | ||||
\(19\) | −1.83612 | − | 1.06009i | −0.421236 | − | 0.243201i | 0.274370 | − | 0.961624i | \(-0.411531\pi\) |
−0.695606 | + | 0.718424i | \(0.744864\pi\) | |||||||
\(20\) | 1.47567 | 0.329971 | ||||||||
\(21\) | 0.660299 | − | 4.53476i | 0.144089 | − | 0.989565i | ||||
\(22\) | −0.712418 | −0.151888 | ||||||||
\(23\) | 1.87219 | + | 1.08091i | 0.390379 | + | 0.225386i | 0.682325 | − | 0.731049i | \(-0.260969\pi\) |
−0.291945 | + | 0.956435i | \(0.594302\pi\) | |||||||
\(24\) | −1.32624 | − | 1.11404i | −0.270718 | − | 0.227402i | ||||
\(25\) | 1.41119 | + | 2.44426i | 0.282239 | + | 0.488852i | ||||
\(26\) | 0.500000 | − | 0.866025i | 0.0980581 | − | 0.169842i | ||||
\(27\) | −4.49590 | − | 2.60516i | −0.865237 | − | 0.501363i | ||||
\(28\) | 2.33052 | + | 1.25247i | 0.440427 | + | 0.236694i | ||||
\(29\) | − | 1.97689i | − | 0.367098i | −0.983011 | − | 0.183549i | \(-0.941241\pi\) | ||
0.983011 | − | 0.183549i | \(-0.0587587\pi\) | |||||||
\(30\) | −0.445155 | + | 2.51688i | −0.0812739 | + | 0.459517i | ||||
\(31\) | −1.42876 | + | 0.824895i | −0.256613 | + | 0.148156i | −0.622789 | − | 0.782390i | \(-0.714000\pi\) |
0.366176 | + | 0.930546i | \(0.380667\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0.214910 | − | 1.21509i | 0.0374110 | − | 0.211519i | ||||
\(34\) | − | 1.25988i | − | 0.216068i | ||||||
\(35\) | −0.118927 | − | 3.90245i | −0.0201023 | − | 0.659635i | ||||
\(36\) | 2.30016 | − | 1.92595i | 0.383359 | − | 0.320992i | ||||
\(37\) | 0.738591 | − | 1.27928i | 0.121424 | − | 0.210312i | −0.798906 | − | 0.601456i | \(-0.794587\pi\) |
0.920329 | + | 0.391144i | \(0.127921\pi\) | |||||||
\(38\) | 1.06009 | + | 1.83612i | 0.171969 | + | 0.297859i | ||||
\(39\) | 1.32624 | + | 1.11404i | 0.212369 | + | 0.178389i | ||||
\(40\) | −1.27797 | − | 0.737837i | −0.202065 | − | 0.116662i | ||||
\(41\) | 4.74235 | 0.740630 | 0.370315 | − | 0.928906i | \(-0.379250\pi\) | ||||
0.370315 | + | 0.928906i | \(0.379250\pi\) | |||||||
\(42\) | −2.83921 | + | 3.59706i | −0.438100 | + | 0.555039i | ||||
\(43\) | −8.19918 | −1.25036 | −0.625182 | − | 0.780479i | \(-0.714975\pi\) | ||||
−0.625182 | + | 0.780479i | \(0.714975\pi\) | |||||||
\(44\) | 0.616972 | + | 0.356209i | 0.0930121 | + | 0.0537005i | ||||
\(45\) | −4.15845 | − | 1.51850i | −0.619905 | − | 0.226364i | ||||
\(46\) | −1.08091 | − | 1.87219i | −0.159372 | − | 0.276040i | ||||
\(47\) | 1.02924 | − | 1.78269i | 0.150130 | − | 0.260032i | −0.781145 | − | 0.624349i | \(-0.785364\pi\) |
0.931275 | + | 0.364317i | \(0.118698\pi\) | |||||||
\(48\) | 0.591542 | + | 1.62791i | 0.0853817 | + | 0.234968i | ||||
\(49\) | 3.12436 | − | 6.26405i | 0.446337 | − | 0.894865i | ||||
\(50\) | − | 2.82239i | − | 0.399146i | ||||||
\(51\) | 2.14883 | + | 0.380060i | 0.300896 | + | 0.0532190i | ||||
\(52\) | −0.866025 | + | 0.500000i | −0.120096 | + | 0.0693375i | ||||
\(53\) | −11.4944 | + | 6.63632i | −1.57888 | + | 0.911568i | −0.583867 | + | 0.811849i | \(0.698461\pi\) |
−0.995016 | + | 0.0997187i | \(0.968206\pi\) | |||||||
\(54\) | 2.59099 | + | 4.50408i | 0.352589 | + | 0.612928i | ||||
\(55\) | − | 1.05130i | − | 0.141757i | ||||||
\(56\) | −1.39206 | − | 2.24993i | −0.186021 | − | 0.300659i | ||||
\(57\) | −3.45144 | + | 1.25417i | −0.457155 | + | 0.166119i | ||||
\(58\) | −0.988443 | + | 1.71203i | −0.129789 | + | 0.224801i | ||||
\(59\) | 4.88092 | + | 8.45400i | 0.635442 | + | 1.10062i | 0.986421 | + | 0.164234i | \(0.0525153\pi\) |
−0.350979 | + | 0.936383i | \(0.614151\pi\) | |||||||
\(60\) | 1.64395 | − | 1.95710i | 0.212234 | − | 0.252661i | ||||
\(61\) | −3.61623 | − | 2.08783i | −0.463011 | − | 0.267319i | 0.250299 | − | 0.968169i | \(-0.419471\pi\) |
−0.713309 | + | 0.700849i | \(0.752805\pi\) | |||||||
\(62\) | 1.64979 | 0.209524 | ||||||||
\(63\) | −5.27859 | − | 5.92760i | −0.665040 | − | 0.746808i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 1.27797 | + | 0.737837i | 0.158513 | + | 0.0915174i | ||||
\(66\) | −0.793660 | + | 0.944840i | −0.0976928 | + | 0.116302i | ||||
\(67\) | −3.50829 | − | 6.07654i | −0.428606 | − | 0.742368i | 0.568143 | − | 0.822930i | \(-0.307662\pi\) |
−0.996750 | + | 0.0805619i | \(0.974329\pi\) | |||||||
\(68\) | −0.629942 | + | 1.09109i | −0.0763916 | + | 0.132314i | ||||
\(69\) | 3.51925 | − | 1.27881i | 0.423667 | − | 0.153951i | ||||
\(70\) | −1.84823 | + | 3.43909i | −0.220906 | + | 0.411050i | ||||
\(71\) | − | 4.81777i | − | 0.571764i | −0.958265 | − | 0.285882i | \(-0.907714\pi\) | ||
0.958265 | − | 0.285882i | \(-0.0922865\pi\) | |||||||
\(72\) | −2.95497 | + | 0.517844i | −0.348246 | + | 0.0610285i | ||||
\(73\) | −1.31716 | + | 0.760465i | −0.154162 | + | 0.0890057i | −0.575097 | − | 0.818085i | \(-0.695036\pi\) |
0.420934 | + | 0.907091i | \(0.361702\pi\) | |||||||
\(74\) | −1.27928 | + | 0.738591i | −0.148713 | + | 0.0858594i | ||||
\(75\) | 4.81381 | + | 0.851409i | 0.555850 | + | 0.0983122i | ||||
\(76\) | − | 2.12017i | − | 0.243201i | ||||||
\(77\) | 0.892281 | − | 1.66030i | 0.101685 | − | 0.189209i | ||||
\(78\) | −0.591542 | − | 1.62791i | −0.0669790 | − | 0.184324i | ||||
\(79\) | 1.00421 | − | 1.73934i | 0.112983 | − | 0.195692i | −0.803989 | − | 0.594644i | \(-0.797293\pi\) |
0.916971 | + | 0.398953i | \(0.130626\pi\) | |||||||
\(80\) | 0.737837 | + | 1.27797i | 0.0824927 | + | 0.142881i | ||||
\(81\) | −8.46368 | + | 3.06042i | −0.940408 | + | 0.340047i | ||||
\(82\) | −4.10699 | − | 2.37117i | −0.453542 | − | 0.261852i | ||||
\(83\) | 16.6965 | 1.83268 | 0.916342 | − | 0.400397i | \(-0.131128\pi\) | ||||
0.916342 | + | 0.400397i | \(0.131128\pi\) | |||||||
\(84\) | 4.25736 | − | 1.69554i | 0.464516 | − | 0.184999i | ||||
\(85\) | 1.85918 | 0.201656 | ||||||||
\(86\) | 7.10070 | + | 4.09959i | 0.765688 | + | 0.442070i | ||||
\(87\) | −2.62183 | − | 2.20232i | −0.281090 | − | 0.236114i | ||||
\(88\) | −0.356209 | − | 0.616972i | −0.0379720 | − | 0.0657695i | ||||
\(89\) | 1.87730 | − | 3.25158i | 0.198994 | − | 0.344667i | −0.749209 | − | 0.662334i | \(-0.769566\pi\) |
0.948202 | + | 0.317667i | \(0.102899\pi\) | |||||||
\(90\) | 2.84207 | + | 3.39428i | 0.299581 | + | 0.357788i | ||||
\(91\) | 1.39206 | + | 2.24993i | 0.145927 | + | 0.235857i | ||||
\(92\) | 2.16182i | 0.225386i | ||||||||
\(93\) | −0.497680 | + | 2.81385i | −0.0516070 | + | 0.291782i | ||||
\(94\) | −1.78269 | + | 1.02924i | −0.183871 | + | 0.106158i | ||||
\(95\) | −2.70952 | + | 1.56434i | −0.277991 | + | 0.160498i | ||||
\(96\) | 0.301663 | − | 1.70558i | 0.0307883 | − | 0.174075i | ||||
\(97\) | 5.98973i | 0.608164i | 0.952646 | + | 0.304082i | \(0.0983498\pi\) | ||||
−0.952646 | + | 0.304082i | \(0.901650\pi\) | |||||||
\(98\) | −5.83780 | + | 3.86265i | −0.589707 | + | 0.390187i | ||||
\(99\) | −1.37208 | − | 1.63867i | −0.137899 | − | 0.164693i | ||||
\(100\) | −1.41119 | + | 2.44426i | −0.141119 | + | 0.244426i | ||||
\(101\) | 4.48679 | + | 7.77135i | 0.446453 | + | 0.773279i | 0.998152 | − | 0.0607643i | \(-0.0193538\pi\) |
−0.551700 | + | 0.834043i | \(0.686020\pi\) | |||||||
\(102\) | −1.67091 | − | 1.40356i | −0.165445 | − | 0.138973i | ||||
\(103\) | 4.95116 | + | 2.85856i | 0.487853 | + | 0.281662i | 0.723683 | − | 0.690132i | \(-0.242448\pi\) |
−0.235830 | + | 0.971794i | \(0.575781\pi\) | |||||||
\(104\) | 1.00000 | 0.0980581 | ||||||||
\(105\) | −5.30809 | − | 4.18975i | −0.518017 | − | 0.408878i | ||||
\(106\) | 13.2726 | 1.28915 | ||||||||
\(107\) | 2.23780 | + | 1.29199i | 0.216336 | + | 0.124902i | 0.604253 | − | 0.796793i | \(-0.293472\pi\) |
−0.387916 | + | 0.921695i | \(0.626805\pi\) | |||||||
\(108\) | 0.00817995 | − | 5.19615i | 0.000787116 | − | 0.499999i | ||||
\(109\) | 5.72625 | + | 9.91816i | 0.548476 | + | 0.949987i | 0.998379 | + | 0.0569104i | \(0.0181249\pi\) |
−0.449904 | + | 0.893077i | \(0.648542\pi\) | |||||||
\(110\) | −0.525648 | + | 0.910449i | −0.0501186 | + | 0.0868080i | ||||
\(111\) | −0.873815 | − | 2.40471i | −0.0829389 | − | 0.228245i | ||||
\(112\) | 0.0805913 | + | 2.64452i | 0.00761517 | + | 0.249884i | ||||
\(113\) | − | 4.53409i | − | 0.426532i | −0.976994 | − | 0.213266i | \(-0.931590\pi\) | ||
0.976994 | − | 0.213266i | \(-0.0684100\pi\) | |||||||
\(114\) | 3.61612 | + | 0.639577i | 0.338681 | + | 0.0599019i | ||||
\(115\) | 2.76275 | − | 1.59507i | 0.257627 | − | 0.148741i | ||||
\(116\) | 1.71203 | − | 0.988443i | 0.158958 | − | 0.0917746i | ||||
\(117\) | 2.95497 | − | 0.517844i | 0.273187 | − | 0.0478747i | ||||
\(118\) | − | 9.76184i | − | 0.898650i | ||||||
\(119\) | 2.93618 | + | 1.57796i | 0.269159 | + | 0.144652i | ||||
\(120\) | −2.40226 | + | 0.872923i | −0.219295 | + | 0.0796866i | ||||
\(121\) | −5.24623 | + | 9.08674i | −0.476930 | + | 0.826067i | ||||
\(122\) | 2.08783 | + | 3.61623i | 0.189023 | + | 0.327398i | ||||
\(123\) | 5.28315 | − | 6.28951i | 0.476366 | − | 0.567106i | ||||
\(124\) | −1.42876 | − | 0.824895i | −0.128306 | − | 0.0740778i | ||||
\(125\) | 11.5433 | 1.03246 | ||||||||
\(126\) | 1.60759 | + | 7.77275i | 0.143216 | + | 0.692452i | ||||
\(127\) | 15.7161 | 1.39458 | 0.697289 | − | 0.716790i | \(-0.254390\pi\) | ||||
0.697289 | + | 0.716790i | \(0.254390\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | −9.13419 | + | 10.8741i | −0.804221 | + | 0.957412i | ||||
\(130\) | −0.737837 | − | 1.27797i | −0.0647126 | − | 0.112085i | ||||
\(131\) | −7.04632 | + | 12.2046i | −0.615640 | + | 1.06632i | 0.374632 | + | 0.927174i | \(0.377769\pi\) |
−0.990272 | + | 0.139146i | \(0.955564\pi\) | |||||||
\(132\) | 1.15975 | − | 0.421425i | 0.100943 | − | 0.0366804i | ||||
\(133\) | −5.60685 | + | 0.170868i | −0.486176 | + | 0.0148161i | ||||
\(134\) | 7.01658i | 0.606141i | ||||||||
\(135\) | −6.64656 | + | 3.82345i | −0.572045 | + | 0.329071i | ||||
\(136\) | 1.09109 | − | 0.629942i | 0.0935603 | − | 0.0540170i | ||||
\(137\) | −12.1811 | + | 7.03277i | −1.04070 | + | 0.600850i | −0.920032 | − | 0.391843i | \(-0.871838\pi\) |
−0.120670 | + | 0.992693i | \(0.538504\pi\) | |||||||
\(138\) | −3.68716 | − | 0.652141i | −0.313872 | − | 0.0555139i | ||||
\(139\) | 1.53247i | 0.129983i | 0.997886 | + | 0.0649913i | \(0.0207020\pi\) | ||||
−0.997886 | + | 0.0649913i | \(0.979298\pi\) | |||||||
\(140\) | 3.32016 | − | 2.05422i | 0.280605 | − | 0.173613i | ||||
\(141\) | −1.21768 | − | 3.35101i | −0.102547 | − | 0.282206i | ||||
\(142\) | −2.40888 | + | 4.17231i | −0.202149 | + | 0.350132i | ||||
\(143\) | 0.356209 | + | 0.616972i | 0.0297877 | + | 0.0515938i | ||||
\(144\) | 2.81800 | + | 1.02902i | 0.234833 | + | 0.0857515i | ||||
\(145\) | −2.52640 | − | 1.45862i | −0.209806 | − | 0.121132i | ||||
\(146\) | 1.52093 | 0.125873 | ||||||||
\(147\) | −4.82701 | − | 11.1220i | −0.398125 | − | 0.917331i | ||||
\(148\) | 1.47718 | 0.121424 | ||||||||
\(149\) | 14.5145 | + | 8.37995i | 1.18907 | + | 0.686512i | 0.958096 | − | 0.286447i | \(-0.0924742\pi\) |
0.230978 | + | 0.972959i | \(0.425808\pi\) | |||||||
\(150\) | −3.74317 | − | 3.14424i | −0.305629 | − | 0.256726i | ||||
\(151\) | 7.58068 | + | 13.1301i | 0.616907 | + | 1.06851i | 0.990047 | + | 0.140739i | \(0.0449479\pi\) |
−0.373140 | + | 0.927775i | \(0.621719\pi\) | |||||||
\(152\) | −1.06009 | + | 1.83612i | −0.0859844 | + | 0.148929i | ||||
\(153\) | 2.89793 | − | 2.42647i | 0.234284 | − | 0.196169i | ||||
\(154\) | −1.60289 | + | 0.991726i | −0.129165 | + | 0.0799155i | ||||
\(155\) | 2.43455i | 0.195548i | ||||||||
\(156\) | −0.301663 | + | 1.70558i | −0.0241523 | + | 0.136556i | ||||
\(157\) | −13.4848 | + | 7.78544i | −1.07620 | + | 0.621345i | −0.929869 | − | 0.367890i | \(-0.880080\pi\) |
−0.146333 | + | 0.989235i | \(0.546747\pi\) | |||||||
\(158\) | −1.73934 | + | 1.00421i | −0.138375 | + | 0.0798907i | ||||
\(159\) | −4.00386 | + | 22.6375i | −0.317526 | + | 1.79527i | ||||
\(160\) | − | 1.47567i | − | 0.116662i | ||||||
\(161\) | 5.71699 | − | 0.174224i | 0.450562 | − | 0.0137308i | ||||
\(162\) | 8.85997 | + | 1.58143i | 0.696105 | + | 0.124249i | ||||
\(163\) | 11.7901 | − | 20.4210i | 0.923468 | − | 1.59949i | 0.129462 | − | 0.991584i | \(-0.458675\pi\) |
0.794006 | − | 0.607910i | \(-0.207992\pi\) | |||||||
\(164\) | 2.37117 | + | 4.10699i | 0.185158 | + | 0.320702i | ||||
\(165\) | −1.39428 | − | 1.17118i | −0.108544 | − | 0.0911765i | ||||
\(166\) | −14.4596 | − | 8.34827i | −1.12228 | − | 0.647951i | ||||
\(167\) | 13.6759 | 1.05828 | 0.529138 | − | 0.848536i | \(-0.322515\pi\) | ||||
0.529138 | + | 0.848536i | \(0.322515\pi\) | |||||||
\(168\) | −4.53476 | − | 0.660299i | −0.349864 | − | 0.0509432i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −1.61009 | − | 0.929588i | −0.123489 | − | 0.0712962i | ||||
\(171\) | −2.18170 | + | 5.97465i | −0.166839 | + | 0.456893i | ||||
\(172\) | −4.09959 | − | 7.10070i | −0.312591 | − | 0.541423i | ||||
\(173\) | −12.7552 | + | 22.0927i | −0.969760 | + | 1.67967i | −0.273517 | + | 0.961867i | \(0.588187\pi\) |
−0.696243 | + | 0.717807i | \(0.745146\pi\) | |||||||
\(174\) | 1.16941 | + | 3.21818i | 0.0886528 | + | 0.243970i | ||||
\(175\) | 6.57763 | + | 3.53495i | 0.497222 | + | 0.267217i | ||||
\(176\) | 0.712418i | 0.0537005i | ||||||||
\(177\) | 16.6496 | + | 2.94478i | 1.25146 | + | 0.221343i | ||||
\(178\) | −3.25158 | + | 1.87730i | −0.243716 | + | 0.140710i | ||||
\(179\) | 5.27781 | − | 3.04714i | 0.394482 | − | 0.227754i | −0.289618 | − | 0.957142i | \(-0.593528\pi\) |
0.684100 | + | 0.729388i | \(0.260195\pi\) | |||||||
\(180\) | −0.764168 | − | 4.36057i | −0.0569577 | − | 0.325018i | ||||
\(181\) | 18.2078i | 1.35338i | 0.736270 | + | 0.676688i | \(0.236585\pi\) | ||||
−0.736270 | + | 0.676688i | \(0.763415\pi\) | |||||||
\(182\) | −0.0805913 | − | 2.64452i | −0.00597383 | − | 0.196025i | ||||
\(183\) | −6.79758 | + | 2.47008i | −0.502492 | + | 0.182594i | ||||
\(184\) | 1.08091 | − | 1.87219i | 0.0796859 | − | 0.138020i | ||||
\(185\) | −1.08992 | − | 1.88779i | −0.0801324 | − | 0.138793i | ||||
\(186\) | 1.83793 | − | 2.18802i | 0.134763 | − | 0.160434i | ||||
\(187\) | 0.777313 | + | 0.448782i | 0.0568427 | + | 0.0328182i | ||||
\(188\) | 2.05848 | 0.150130 | ||||||||
\(189\) | −13.7420 | + | 0.397132i | −0.999583 | + | 0.0288871i | ||||
\(190\) | 3.12869 | 0.226979 | ||||||||
\(191\) | −7.38111 | − | 4.26148i | −0.534078 | − | 0.308350i | 0.208597 | − | 0.978002i | \(-0.433110\pi\) |
−0.742676 | + | 0.669651i | \(0.766444\pi\) | |||||||
\(192\) | −1.11404 | + | 1.32624i | −0.0803987 | + | 0.0957134i | ||||
\(193\) | 5.24285 | + | 9.08089i | 0.377389 | + | 0.653657i | 0.990681 | − | 0.136199i | \(-0.0434887\pi\) |
−0.613293 | + | 0.789856i | \(0.710155\pi\) | |||||||
\(194\) | 2.99486 | − | 5.18725i | 0.215019 | − | 0.372423i | ||||
\(195\) | 2.40226 | − | 0.872923i | 0.172029 | − | 0.0625113i | ||||
\(196\) | 6.98701 | − | 0.426251i | 0.499072 | − | 0.0304465i | ||||
\(197\) | − | 27.5463i | − | 1.96259i | −0.192501 | − | 0.981297i | \(-0.561660\pi\) | ||
0.192501 | − | 0.981297i | \(-0.438340\pi\) | |||||||
\(198\) | 0.368921 | + | 2.10517i | 0.0262181 | + | 0.149608i | ||||
\(199\) | 15.6308 | − | 9.02443i | 1.10804 | − | 0.639725i | 0.169716 | − | 0.985493i | \(-0.445715\pi\) |
0.938320 | + | 0.345768i | \(0.112382\pi\) | |||||||
\(200\) | 2.44426 | − | 1.41119i | 0.172835 | − | 0.0997865i | ||||
\(201\) | −11.9673 | − | 2.11664i | −0.844111 | − | 0.149296i | ||||
\(202\) | − | 8.97359i | − | 0.631379i | ||||||
\(203\) | −2.75194 | − | 4.44785i | −0.193148 | − | 0.312178i | ||||
\(204\) | 0.745274 | + | 2.05097i | 0.0521796 | + | 0.143597i | ||||
\(205\) | 3.49908 | − | 6.06058i | 0.244386 | − | 0.423289i | ||||
\(206\) | −2.85856 | − | 4.95116i | −0.199165 | − | 0.344964i | ||||
\(207\) | 2.22456 | − | 6.09202i | 0.154617 | − | 0.423424i | ||||
\(208\) | −0.866025 | − | 0.500000i | −0.0600481 | − | 0.0346688i | ||||
\(209\) | −1.51045 | −0.104480 | ||||||||
\(210\) | 2.50207 | + | 6.28248i | 0.172659 | + | 0.433532i | ||||
\(211\) | −2.97983 | −0.205140 | −0.102570 | − | 0.994726i | \(-0.532707\pi\) | ||||
−0.102570 | + | 0.994726i | \(0.532707\pi\) | |||||||
\(212\) | −11.4944 | − | 6.63632i | −0.789441 | − | 0.455784i | ||||
\(213\) | −6.38953 | − | 5.36717i | −0.437804 | − | 0.367752i | ||||
\(214\) | −1.29199 | − | 2.23780i | −0.0883189 | − | 0.152973i | ||||
\(215\) | −6.04966 | + | 10.4783i | −0.412583 | + | 0.714615i | ||||
\(216\) | −2.60516 | + | 4.49590i | −0.177258 | + | 0.305908i | ||||
\(217\) | −2.06631 | + | 3.84487i | −0.140270 | + | 0.261007i | ||||
\(218\) | − | 11.4525i | − | 0.775662i | ||||||
\(219\) | −0.458808 | + | 2.59407i | −0.0310033 | + | 0.175291i | ||||
\(220\) | 0.910449 | − | 0.525648i | 0.0613825 | − | 0.0354392i | ||||
\(221\) | −1.09109 | + | 0.629942i | −0.0733947 | + | 0.0423745i | ||||
\(222\) | −0.445610 | + | 2.51945i | −0.0299074 | + | 0.169094i | ||||
\(223\) | − | 2.54971i | − | 0.170741i | −0.996349 | − | 0.0853705i | \(-0.972793\pi\) | ||
0.996349 | − | 0.0853705i | \(-0.0272074\pi\) | |||||||
\(224\) | 1.25247 | − | 2.33052i | 0.0836840 | − | 0.155714i | ||||
\(225\) | 6.49193 | − | 5.43578i | 0.432795 | − | 0.362385i | ||||
\(226\) | −2.26705 | + | 3.92664i | −0.150802 | + | 0.261196i | ||||
\(227\) | −4.12234 | − | 7.14010i | −0.273609 | − | 0.473905i | 0.696174 | − | 0.717873i | \(-0.254884\pi\) |
−0.969783 | + | 0.243968i | \(0.921551\pi\) | |||||||
\(228\) | −2.81187 | − | 2.36195i | −0.186220 | − | 0.156424i | ||||
\(229\) | −6.90443 | − | 3.98628i | −0.456258 | − | 0.263421i | 0.254212 | − | 0.967149i | \(-0.418184\pi\) |
−0.710469 | + | 0.703728i | \(0.751517\pi\) | |||||||
\(230\) | −3.19015 | −0.210352 | ||||||||
\(231\) | −1.20793 | − | 3.03302i | −0.0794763 | − | 0.199558i | ||||
\(232\) | −1.97689 | −0.129789 | ||||||||
\(233\) | −22.7059 | − | 13.1093i | −1.48752 | − | 0.858818i | −0.487617 | − | 0.873058i | \(-0.662134\pi\) |
−0.999899 | + | 0.0142398i | \(0.995467\pi\) | |||||||
\(234\) | −2.81800 | − | 1.02902i | −0.184218 | − | 0.0672690i | ||||
\(235\) | −1.51882 | − | 2.63067i | −0.0990768 | − | 0.171606i | ||||
\(236\) | −4.88092 | + | 8.45400i | −0.317721 | + | 0.550309i | ||||
\(237\) | −1.18807 | − | 3.26952i | −0.0771732 | − | 0.212378i | ||||
\(238\) | −1.75383 | − | 2.83465i | −0.113684 | − | 0.183743i | ||||
\(239\) | − | 16.1711i | − | 1.04602i | −0.852325 | − | 0.523012i | \(-0.824808\pi\) | ||
0.852325 | − | 0.523012i | \(-0.175192\pi\) | |||||||
\(240\) | 2.51688 | + | 0.445155i | 0.162464 | + | 0.0287347i | ||||
\(241\) | −11.4305 | + | 6.59939i | −0.736302 | + | 0.425104i | −0.820723 | − | 0.571326i | \(-0.806429\pi\) |
0.0844211 | + | 0.996430i | \(0.473096\pi\) | |||||||
\(242\) | 9.08674 | − | 5.24623i | 0.584118 | − | 0.337240i | ||||
\(243\) | −5.36998 | + | 14.6343i | −0.344484 | + | 0.938792i | ||||
\(244\) | − | 4.17566i | − | 0.267319i | ||||||
\(245\) | −5.70001 | − | 8.61469i | −0.364160 | − | 0.550372i | ||||
\(246\) | −7.72010 | + | 2.80530i | −0.492215 | + | 0.178859i | ||||
\(247\) | 1.06009 | − | 1.83612i | 0.0674517 | − | 0.116830i | ||||
\(248\) | 0.824895 | + | 1.42876i | 0.0523809 | + | 0.0907264i | ||||
\(249\) | 18.6006 | − | 22.1437i | 1.17876 | − | 1.40330i | ||||
\(250\) | −9.99678 | − | 5.77165i | −0.632252 | − | 0.365031i | ||||
\(251\) | −10.1448 | −0.640337 | −0.320168 | − | 0.947361i | \(-0.603740\pi\) | ||||
−0.320168 | + | 0.947361i | \(0.603740\pi\) | |||||||
\(252\) | 2.49416 | − | 7.53520i | 0.157117 | − | 0.474673i | ||||
\(253\) | 1.54012 | 0.0968266 | ||||||||
\(254\) | −13.6105 | − | 7.85804i | −0.854001 | − | 0.493058i | ||||
\(255\) | 2.07119 | − | 2.46572i | 0.129703 | − | 0.154409i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 13.4826 | − | 23.3525i | 0.841020 | − | 1.45669i | −0.0480126 | − | 0.998847i | \(-0.515289\pi\) |
0.889033 | − | 0.457843i | \(-0.151378\pi\) | |||||||
\(258\) | 13.3475 | − | 4.85016i | 0.830979 | − | 0.301958i | ||||
\(259\) | −0.119048 | − | 3.90644i | −0.00739729 | − | 0.242734i | ||||
\(260\) | 1.47567i | 0.0915174i | ||||||||
\(261\) | −5.84163 | + | 1.02372i | −0.361588 | + | 0.0633665i | ||||
\(262\) | 12.2046 | − | 7.04632i | 0.754002 | − | 0.435323i | ||||
\(263\) | −24.6665 | + | 14.2412i | −1.52100 | + | 0.878152i | −0.521311 | + | 0.853367i | \(0.674557\pi\) |
−0.999693 | + | 0.0247857i | \(0.992110\pi\) | |||||||
\(264\) | −1.21509 | − | 0.214910i | −0.0747833 | − | 0.0132268i | ||||
\(265\) | 19.5861i | 1.20316i | ||||||||
\(266\) | 4.94111 | + | 2.65545i | 0.302959 | + | 0.162816i | ||||
\(267\) | −2.22101 | − | 6.11214i | −0.135923 | − | 0.374057i | ||||
\(268\) | 3.50829 | − | 6.07654i | 0.214303 | − | 0.371184i | ||||
\(269\) | −1.07074 | − | 1.85458i | −0.0652844 | − | 0.113076i | 0.831536 | − | 0.555471i | \(-0.187462\pi\) |
−0.896820 | + | 0.442395i | \(0.854129\pi\) | |||||||
\(270\) | 7.66782 | + | 0.0120709i | 0.466648 | + | 0.000734614i | ||||
\(271\) | 18.3465 | + | 10.5924i | 1.11447 | + | 0.643441i | 0.939984 | − | 0.341219i | \(-0.110840\pi\) |
0.174488 | + | 0.984659i | \(0.444173\pi\) | |||||||
\(272\) | −1.25988 | −0.0763916 | ||||||||
\(273\) | 4.53476 | + | 0.660299i | 0.274456 | + | 0.0399631i | ||||
\(274\) | 14.0655 | 0.849730 | ||||||||
\(275\) | 1.74133 | + | 1.00536i | 0.105006 | + | 0.0606255i | ||||
\(276\) | 2.86710 | + | 2.40835i | 0.172579 | + | 0.144966i | ||||
\(277\) | 9.41135 | + | 16.3009i | 0.565473 | + | 0.979429i | 0.997005 | + | 0.0773311i | \(0.0246398\pi\) |
−0.431532 | + | 0.902098i | \(0.642027\pi\) | |||||||
\(278\) | 0.766236 | − | 1.32716i | 0.0459558 | − | 0.0795977i | ||||
\(279\) | 3.17741 | + | 3.79478i | 0.190227 | + | 0.227187i | ||||
\(280\) | −3.90245 | + | 0.118927i | −0.233216 | + | 0.00710722i | ||||
\(281\) | − | 21.8958i | − | 1.30619i | −0.757274 | − | 0.653097i | \(-0.773469\pi\) | ||
0.757274 | − | 0.653097i | \(-0.226531\pi\) | |||||||
\(282\) | −0.620965 | + | 3.51089i | −0.0369779 | + | 0.209071i | ||||
\(283\) | 1.19367 | − | 0.689163i | 0.0709561 | − | 0.0409665i | −0.464102 | − | 0.885782i | \(-0.653623\pi\) |
0.535058 | + | 0.844815i | \(0.320290\pi\) | |||||||
\(284\) | 4.17231 | − | 2.40888i | 0.247581 | − | 0.142941i | ||||
\(285\) | −0.943807 | + | 5.33622i | −0.0559063 | + | 0.316090i | ||||
\(286\) | − | 0.712418i | − | 0.0421262i | ||||||
\(287\) | 10.6699 | − | 6.60161i | 0.629827 | − | 0.389681i | ||||
\(288\) | −1.92595 | − | 2.30016i | −0.113488 | − | 0.135538i | ||||
\(289\) | 7.70635 | − | 13.3478i | 0.453315 | − | 0.785164i | ||||
\(290\) | 1.45862 | + | 2.52640i | 0.0856531 | + | 0.148355i | ||||
\(291\) | 7.94383 | + | 6.67277i | 0.465676 | + | 0.391165i | ||||
\(292\) | −1.31716 | − | 0.760465i | −0.0770812 | − | 0.0445029i | ||||
\(293\) | −23.4405 | −1.36941 | −0.684703 | − | 0.728822i | \(-0.740068\pi\) | ||||
−0.684703 | + | 0.728822i | \(0.740068\pi\) | |||||||
\(294\) | −1.38071 | + | 12.0455i | −0.0805248 | + | 0.702507i | ||||
\(295\) | 14.4053 | 0.838709 | ||||||||
\(296\) | −1.27928 | − | 0.738591i | −0.0743564 | − | 0.0429297i | ||||
\(297\) | −3.70183 | − | 0.00582755i | −0.214802 | − | 0.000338149i | ||||
\(298\) | −8.37995 | − | 14.5145i | −0.485437 | − | 0.840802i | ||||
\(299\) | −1.08091 | + | 1.87219i | −0.0625107 | + | 0.108272i | ||||
\(300\) | 1.66956 | + | 4.59458i | 0.0963922 | + | 0.265268i | ||||
\(301\) | −18.4476 | + | 11.4137i | −1.06330 | + | 0.657876i | ||||
\(302\) | − | 15.1614i | − | 0.872438i | ||||||
\(303\) | 15.3052 | + | 2.70699i | 0.879259 | + | 0.155513i | ||||
\(304\) | 1.83612 | − | 1.06009i | 0.105309 | − | 0.0608002i | ||||
\(305\) | −5.33637 | + | 3.08096i | −0.305560 | + | 0.176415i | ||||
\(306\) | −3.72292 | + | 0.652422i | −0.212825 | + | 0.0372965i | ||||
\(307\) | − | 7.51595i | − | 0.428958i | −0.976729 | − | 0.214479i | \(-0.931195\pi\) | ||
0.976729 | − | 0.214479i | \(-0.0688054\pi\) | |||||||
\(308\) | 1.88401 | − | 0.0574147i | 0.107351 | − | 0.00327151i | ||||
\(309\) | 9.30692 | − | 3.38191i | 0.529452 | − | 0.192390i | ||||
\(310\) | 1.21728 | − | 2.10838i | 0.0691366 | − | 0.119748i | ||||
\(311\) | 3.07687 | + | 5.32930i | 0.174473 | + | 0.302197i | 0.939979 | − | 0.341233i | \(-0.110844\pi\) |
−0.765505 | + | 0.643429i | \(0.777511\pi\) | |||||||
\(312\) | 1.11404 | − | 1.32624i | 0.0630699 | − | 0.0750838i | ||||
\(313\) | −22.5207 | − | 13.0024i | −1.27295 | − | 0.734936i | −0.297405 | − | 0.954751i | \(-0.596121\pi\) |
−0.975542 | + | 0.219815i | \(0.929455\pi\) | |||||||
\(314\) | 15.5709 | 0.878715 | ||||||||
\(315\) | −11.4700 | + | 2.37228i | −0.646264 | + | 0.133663i | ||||
\(316\) | 2.00842 | 0.112983 | ||||||||
\(317\) | −11.8361 | − | 6.83359i | −0.664783 | − | 0.383813i | 0.129314 | − | 0.991604i | \(-0.458723\pi\) |
−0.794097 | + | 0.607791i | \(0.792056\pi\) | |||||||
\(318\) | 14.7862 | − | 17.6027i | 0.829169 | − | 0.987113i | ||||
\(319\) | −0.704185 | − | 1.21968i | −0.0394268 | − | 0.0682892i | ||||
\(320\) | −0.737837 | + | 1.27797i | −0.0412463 | + | 0.0714407i | ||||
\(321\) | 4.20649 | − | 1.52854i | 0.234783 | − | 0.0853147i | ||||
\(322\) | −5.03817 | − | 2.70761i | −0.280766 | − | 0.150889i | ||||
\(323\) | − | 2.67117i | − | 0.148628i | ||||||
\(324\) | −6.88224 | − | 5.79955i | −0.382347 | − | 0.322197i | ||||
\(325\) | −2.44426 | + | 1.41119i | −0.135583 | + | 0.0782789i | ||||
\(326\) | −20.4210 | + | 11.7901i | −1.13101 | + | 0.652991i | ||||
\(327\) | 19.5332 | + | 3.45479i | 1.08019 | + | 0.191050i | ||||
\(328\) | − | 4.74235i | − | 0.261852i | ||||||
\(329\) | −0.165895 | − | 5.44369i | −0.00914611 | − | 0.300120i | ||||
\(330\) | 0.621886 | + | 1.71141i | 0.0342337 | + | 0.0942101i | ||||
\(331\) | −3.55757 | + | 6.16188i | −0.195541 | + | 0.338688i | −0.947078 | − | 0.321004i | \(-0.895980\pi\) |
0.751536 | + | 0.659692i | \(0.229313\pi\) | |||||||
\(332\) | 8.34827 | + | 14.4596i | 0.458171 | + | 0.793575i | ||||
\(333\) | −4.16270 | − | 1.52005i | −0.228114 | − | 0.0832981i | ||||
\(334\) | −11.8437 | − | 6.83797i | −0.648059 | − | 0.374157i | ||||
\(335\) | −10.3542 | −0.565710 | ||||||||
\(336\) | 3.59706 | + | 2.83921i | 0.196236 | + | 0.154892i | ||||
\(337\) | 1.82826 | 0.0995918 | 0.0497959 | − | 0.998759i | \(-0.484143\pi\) | ||||
0.0497959 | + | 0.998759i | \(0.484143\pi\) | |||||||
\(338\) | 0.866025 | + | 0.500000i | 0.0471056 | + | 0.0271964i | ||||
\(339\) | −6.01331 | − | 5.05115i | −0.326598 | − | 0.274341i | ||||
\(340\) | 0.929588 | + | 1.61009i | 0.0504140 | + | 0.0873196i | ||||
\(341\) | −0.587670 | + | 1.01787i | −0.0318241 | + | 0.0551210i | ||||
\(342\) | 4.87673 | − | 4.08335i | 0.263703 | − | 0.220802i | ||||
\(343\) | −1.69032 | − | 18.4430i | −0.0912689 | − | 0.995826i | ||||
\(344\) | 8.19918i | 0.442070i | ||||||||
\(345\) | 0.962347 | − | 5.44105i | 0.0518110 | − | 0.292936i | ||||
\(346\) | 22.0927 | − | 12.7552i | 1.18771 | − | 0.685724i | ||||
\(347\) | 18.1042 | − | 10.4525i | 0.971884 | − | 0.561117i | 0.0720736 | − | 0.997399i | \(-0.477038\pi\) |
0.899810 | + | 0.436282i | \(0.143705\pi\) | |||||||
\(348\) | 0.596352 | − | 3.37173i | 0.0319678 | − | 0.180744i | ||||
\(349\) | 30.2526i | 1.61939i | 0.586853 | + | 0.809694i | \(0.300367\pi\) | ||||
−0.586853 | + | 0.809694i | \(0.699633\pi\) | |||||||
\(350\) | −3.92892 | − | 6.35017i | −0.210010 | − | 0.339431i | ||||
\(351\) | 2.60516 | − | 4.49590i | 0.139053 | − | 0.239974i | ||||
\(352\) | 0.356209 | − | 0.616972i | 0.0189860 | − | 0.0328847i | ||||
\(353\) | 3.37558 | + | 5.84667i | 0.179664 | + | 0.311187i | 0.941765 | − | 0.336271i | \(-0.109166\pi\) |
−0.762102 | + | 0.647457i | \(0.775832\pi\) | |||||||
\(354\) | −12.9466 | − | 10.8751i | −0.688103 | − | 0.578003i | ||||
\(355\) | −6.15697 | − | 3.55473i | −0.326778 | − | 0.188665i | ||||
\(356\) | 3.75460 | 0.198994 | ||||||||
\(357\) | 5.36378 | − | 2.13619i | 0.283881 | − | 0.113059i | ||||
\(358\) | −6.09429 | −0.322093 | ||||||||
\(359\) | −6.61905 | − | 3.82151i | −0.349340 | − | 0.201692i | 0.315054 | − | 0.949074i | \(-0.397977\pi\) |
−0.664395 | + | 0.747382i | \(0.731311\pi\) | |||||||
\(360\) | −1.51850 | + | 4.15845i | −0.0800317 | + | 0.219169i | ||||
\(361\) | −7.25243 | − | 12.5616i | −0.381707 | − | 0.661136i | ||||
\(362\) | 9.10391 | − | 15.7684i | 0.478491 | − | 0.828770i | ||||
\(363\) | 6.20673 | + | 17.0807i | 0.325769 | + | 0.896506i | ||||
\(364\) | −1.25247 | + | 2.33052i | −0.0656471 | + | 0.122152i | ||||
\(365\) | 2.24440i | 0.117477i | ||||||||
\(366\) | 7.12192 | + | 1.25964i | 0.372269 | + | 0.0658425i | ||||
\(367\) | 16.0066 | − | 9.24140i | 0.835537 | − | 0.482397i | −0.0202079 | − | 0.999796i | \(-0.506433\pi\) |
0.855745 | + | 0.517398i | \(0.173099\pi\) | |||||||
\(368\) | −1.87219 | + | 1.08091i | −0.0975949 | + | 0.0563464i | ||||
\(369\) | −2.45579 | − | 14.0135i | −0.127844 | − | 0.729513i | ||||
\(370\) | 2.17984i | 0.113324i | ||||||||
\(371\) | −16.6235 | + | 30.9321i | −0.863051 | + | 1.60592i | ||||
\(372\) | −2.68570 | + | 0.975921i | −0.139247 | + | 0.0505991i | ||||
\(373\) | 2.56061 | − | 4.43510i | 0.132583 | − | 0.229641i | −0.792088 | − | 0.610406i | \(-0.791006\pi\) |
0.924672 | + | 0.380765i | \(0.124339\pi\) | |||||||
\(374\) | −0.448782 | − | 0.777313i | −0.0232060 | − | 0.0401939i | ||||
\(375\) | 12.8597 | − | 15.3092i | 0.664070 | − | 0.790564i | ||||
\(376\) | −1.78269 | − | 1.02924i | −0.0919353 | − | 0.0530789i | ||||
\(377\) | 1.97689 | 0.101815 | ||||||||
\(378\) | 12.0995 | + | 6.52707i | 0.622330 | + | 0.335716i | ||||
\(379\) | −17.1215 | −0.879471 | −0.439736 | − | 0.898127i | \(-0.644928\pi\) | ||||
−0.439736 | + | 0.898127i | \(0.644928\pi\) | |||||||
\(380\) | −2.70952 | − | 1.56434i | −0.138995 | − | 0.0802491i | ||||
\(381\) | 17.5083 | − | 20.8434i | 0.896978 | − | 1.06784i | ||||
\(382\) | 4.26148 | + | 7.38111i | 0.218036 | + | 0.377650i | ||||
\(383\) | −8.37015 | + | 14.4975i | −0.427695 | + | 0.740789i | −0.996668 | − | 0.0815673i | \(-0.974007\pi\) |
0.568973 | + | 0.822356i | \(0.307341\pi\) | |||||||
\(384\) | 1.62791 | − | 0.591542i | 0.0830737 | − | 0.0301870i | ||||
\(385\) | −1.46346 | − | 2.36534i | −0.0745850 | − | 0.120549i | ||||
\(386\) | − | 10.4857i | − | 0.533709i | ||||||
\(387\) | 4.24589 | + | 24.2283i | 0.215831 | + | 1.23160i | ||||
\(388\) | −5.18725 | + | 2.99486i | −0.263343 | + | 0.152041i | ||||
\(389\) | −17.2918 | + | 9.98343i | −0.876729 | + | 0.506180i | −0.869579 | − | 0.493795i | \(-0.835609\pi\) |
−0.00715063 | + | 0.999974i | \(0.502276\pi\) | |||||||
\(390\) | −2.51688 | − | 0.445155i | −0.127447 | − | 0.0225413i | ||||
\(391\) | 2.72364i | 0.137741i | ||||||||
\(392\) | −6.26405 | − | 3.12436i | −0.316383 | − | 0.157804i | ||||
\(393\) | 8.33639 | + | 22.9415i | 0.420515 | + | 1.15725i | ||||
\(394\) | −13.7732 | + | 23.8558i | −0.693882 | + | 1.20184i | ||||
\(395\) | −1.48189 | − | 2.56670i | −0.0745618 | − | 0.129145i | ||||
\(396\) | 0.733091 | − | 2.00759i | 0.0368392 | − | 0.100885i | ||||
\(397\) | 7.52672 | + | 4.34555i | 0.377755 | + | 0.218097i | 0.676841 | − | 0.736129i | \(-0.263348\pi\) |
−0.299086 | + | 0.954226i | \(0.596682\pi\) | |||||||
\(398\) | −18.0489 | −0.904707 | ||||||||
\(399\) | −6.01963 | + | 7.62640i | −0.301358 | + | 0.381798i | ||||
\(400\) | −2.82239 | −0.141119 | ||||||||
\(401\) | 9.22909 | + | 5.32841i | 0.460879 | + | 0.266088i | 0.712414 | − | 0.701760i | \(-0.247602\pi\) |
−0.251535 | + | 0.967848i | \(0.580935\pi\) | |||||||
\(402\) | 9.30570 | + | 7.81673i | 0.464126 | + | 0.389863i | ||||
\(403\) | −0.824895 | − | 1.42876i | −0.0410910 | − | 0.0711716i | ||||
\(404\) | −4.48679 | + | 7.77135i | −0.223226 | + | 0.386639i | ||||
\(405\) | −2.33368 | + | 13.0744i | −0.115962 | + | 0.649673i | ||||
\(406\) | 0.159320 | + | 5.22792i | 0.00790691 | + | 0.259457i | ||||
\(407\) | − | 1.05237i | − | 0.0521641i | ||||||
\(408\) | 0.380060 | − | 2.14883i | 0.0188158 | − | 0.106383i | ||||
\(409\) | −17.2644 | + | 9.96762i | −0.853671 | + | 0.492867i | −0.861888 | − | 0.507099i | \(-0.830718\pi\) |
0.00821693 | + | 0.999966i | \(0.497384\pi\) | |||||||
\(410\) | −6.06058 | + | 3.49908i | −0.299311 | + | 0.172807i | ||||
\(411\) | −4.24304 | + | 23.9899i | −0.209294 | + | 1.18333i | ||||
\(412\) | 5.71711i | 0.281662i | ||||||||
\(413\) | 22.7502 | + | 12.2264i | 1.11946 | + | 0.601621i | ||||
\(414\) | −4.97253 | + | 4.16356i | −0.244387 | + | 0.204628i | ||||
\(415\) | 12.3193 | − | 21.3377i | 0.604732 | − | 1.04743i | ||||
\(416\) | 0.500000 | + | 0.866025i | 0.0245145 | + | 0.0424604i | ||||
\(417\) | 2.03243 | + | 1.70723i | 0.0995285 | + | 0.0836034i | ||||
\(418\) | 1.30809 | + | 0.755225i | 0.0639807 | + | 0.0369393i | ||||
\(419\) | −20.2944 | −0.991446 | −0.495723 | − | 0.868481i | \(-0.665097\pi\) | ||||
−0.495723 | + | 0.868481i | \(0.665097\pi\) | |||||||
\(420\) | 0.974385 | − | 6.69182i | 0.0475451 | − | 0.326527i | ||||
\(421\) | −18.9286 | −0.922523 | −0.461261 | − | 0.887264i | \(-0.652603\pi\) | ||||
−0.461261 | + | 0.887264i | \(0.652603\pi\) | |||||||
\(422\) | 2.58061 | + | 1.48992i | 0.125622 | + | 0.0725280i | ||||
\(423\) | −5.80078 | − | 2.11821i | −0.282044 | − | 0.102991i | ||||
\(424\) | 6.63632 | + | 11.4944i | 0.322288 | + | 0.558219i | ||||
\(425\) | −1.77794 | + | 3.07948i | −0.0862427 | + | 0.149377i | ||||
\(426\) | 2.84991 | + | 7.84287i | 0.138079 | + | 0.379988i | ||||
\(427\) | −11.0426 | + | 0.336522i | −0.534391 | + | 0.0162855i | ||||
\(428\) | 2.58399i | 0.124902i | ||||||||
\(429\) | 1.21509 | + | 0.214910i | 0.0586649 | + | 0.0103759i | ||||
\(430\) | 10.4783 | − | 6.04966i | 0.505309 | − | 0.291740i | ||||
\(431\) | −2.25497 | + | 1.30191i | −0.108618 | + | 0.0627107i | −0.553325 | − | 0.832966i | \(-0.686641\pi\) |
0.444707 | + | 0.895676i | \(0.353308\pi\) | |||||||
\(432\) | 4.50408 | − | 2.59099i | 0.216703 | − | 0.124659i | ||||
\(433\) | 28.2873i | 1.35940i | 0.733489 | + | 0.679701i | \(0.237890\pi\) | ||||
−0.733489 | + | 0.679701i | \(0.762110\pi\) | |||||||
\(434\) | 3.71191 | − | 2.29660i | 0.178177 | − | 0.110240i | ||||
\(435\) | −4.74899 | + | 1.72567i | −0.227697 | + | 0.0827395i | ||||
\(436\) | −5.72625 | + | 9.91816i | −0.274238 | + | 0.474994i | ||||
\(437\) | −2.29172 | − | 3.96938i | −0.109628 | − | 0.189881i | ||||
\(438\) | 1.69437 | − | 2.01712i | 0.0809603 | − | 0.0963819i | ||||
\(439\) | 34.5408 | + | 19.9421i | 1.64854 | + | 0.951785i | 0.977653 | + | 0.210227i | \(0.0674203\pi\) |
0.670888 | + | 0.741559i | \(0.265913\pi\) | |||||||
\(440\) | −1.05130 | −0.0501186 | ||||||||
\(441\) | −20.1280 | − | 5.98859i | −0.958477 | − | 0.285171i | ||||
\(442\) | 1.25988 | 0.0599265 | ||||||||
\(443\) | −12.0320 | − | 6.94666i | −0.571656 | − | 0.330046i | 0.186154 | − | 0.982520i | \(-0.440398\pi\) |
−0.757810 | + | 0.652475i | \(0.773731\pi\) | |||||||
\(444\) | 1.64563 | − | 1.95910i | 0.0780984 | − | 0.0929749i | ||||
\(445\) | −2.77029 | − | 4.79828i | −0.131324 | − | 0.227460i | ||||
\(446\) | −1.27485 | + | 2.20811i | −0.0603661 | + | 0.104557i | ||||
\(447\) | 27.2835 | − | 9.91419i | 1.29047 | − | 0.468925i | ||||
\(448\) | −2.24993 | + | 1.39206i | −0.106299 | + | 0.0657685i | ||||
\(449\) | 21.7353i | 1.02575i | 0.858463 | + | 0.512875i | \(0.171420\pi\) | ||||
−0.858463 | + | 0.512875i | \(0.828580\pi\) | |||||||
\(450\) | −8.34007 | + | 1.46156i | −0.393154 | + | 0.0688984i | ||||
\(451\) | 2.92590 | − | 1.68927i | 0.137775 | − | 0.0795445i | ||||
\(452\) | 3.92664 | − | 2.26705i | 0.184694 | − | 0.106633i | ||||
\(453\) | 25.8589 | + | 4.57361i | 1.21496 | + | 0.214887i | ||||
\(454\) | 8.24468i | 0.386942i | ||||||||
\(455\) | 3.90245 | − | 0.118927i | 0.182950 | − | 0.00557536i | ||||
\(456\) | 1.25417 | + | 3.45144i | 0.0587320 | + | 0.161629i | ||||
\(457\) | 4.34511 | − | 7.52596i | 0.203256 | − | 0.352050i | −0.746320 | − | 0.665588i | \(-0.768181\pi\) |
0.949576 | + | 0.313538i | \(0.101514\pi\) | |||||||
\(458\) | 3.98628 | + | 6.90443i | 0.186267 | + | 0.322623i | ||||
\(459\) | 0.0103058 | − | 6.54654i | 0.000481033 | − | 0.305566i | ||||
\(460\) | 2.76275 | + | 1.59507i | 0.128814 | + | 0.0743706i | ||||
\(461\) | −35.1161 | −1.63552 | −0.817760 | − | 0.575559i | \(-0.804785\pi\) | ||||
−0.817760 | + | 0.575559i | \(0.804785\pi\) | |||||||
\(462\) | −0.470409 | + | 3.23064i | −0.0218854 | + | 0.150303i | ||||
\(463\) | −20.9880 | −0.975395 | −0.487698 | − | 0.873013i | \(-0.662163\pi\) | ||||
−0.487698 | + | 0.873013i | \(0.662163\pi\) | |||||||
\(464\) | 1.71203 | + | 0.988443i | 0.0794791 | + | 0.0458873i | ||||
\(465\) | 3.22881 | + | 2.71218i | 0.149732 | + | 0.125774i | ||||
\(466\) | 13.1093 | + | 22.7059i | 0.607276 | + | 1.05183i | ||||
\(467\) | 17.2987 | − | 29.9621i | 0.800486 | − | 1.38648i | −0.118810 | − | 0.992917i | \(-0.537908\pi\) |
0.919297 | − | 0.393566i | \(-0.128759\pi\) | |||||||
\(468\) | 1.92595 | + | 2.30016i | 0.0890271 | + | 0.106325i | ||||
\(469\) | −16.3523 | − | 8.78805i | −0.755079 | − | 0.405794i | ||||
\(470\) | 3.03764i | 0.140116i | ||||||||
\(471\) | −4.69715 | + | 26.5574i | −0.216433 | + | 1.22370i | ||||
\(472\) | 8.45400 | − | 4.88092i | 0.389127 | − | 0.224663i | ||||
\(473\) | −5.05867 | + | 2.92062i | −0.232598 | + | 0.134290i | ||||
\(474\) | −0.605865 | + | 3.42552i | −0.0278283 | + | 0.157339i | ||||
\(475\) | − | 5.98395i | − | 0.274563i | ||||||
\(476\) | 0.101536 | + | 3.33179i | 0.00465388 | + | 0.152712i | ||||
\(477\) | 25.5624 | + | 30.5291i | 1.17042 | + | 1.39783i | ||||
\(478\) | −8.08557 | + | 14.0046i | −0.369825 | + | 0.640556i | ||||
\(479\) | 19.4526 | + | 33.6929i | 0.888813 | + | 1.53947i | 0.841280 | + | 0.540599i | \(0.181802\pi\) |
0.0475326 | + | 0.998870i | \(0.484864\pi\) | |||||||
\(480\) | −1.95710 | − | 1.64395i | −0.0893291 | − | 0.0750359i | ||||
\(481\) | 1.27928 | + | 0.738591i | 0.0583300 | + | 0.0336768i | ||||
\(482\) | 13.1988 | 0.601188 | ||||||||
\(483\) | 6.13788 | − | 7.77622i | 0.279283 | − | 0.353830i | ||||
\(484\) | −10.4925 | −0.476930 | ||||||||
\(485\) | 7.65469 | + | 4.41944i | 0.347582 | + | 0.200676i | ||||
\(486\) | 11.9677 | − | 9.98870i | 0.542866 | − | 0.453097i | ||||
\(487\) | −13.4920 | − | 23.3688i | −0.611381 | − | 1.05894i | −0.991008 | − | 0.133803i | \(-0.957281\pi\) |
0.379627 | − | 0.925140i | \(-0.376052\pi\) | |||||||
\(488\) | −2.08783 | + | 3.61623i | −0.0945117 | + | 0.163699i | ||||
\(489\) | −13.9486 | − | 38.3862i | −0.630779 | − | 1.73588i | ||||
\(490\) | 0.629008 | + | 10.3105i | 0.0284157 | + | 0.465783i | ||||
\(491\) | − | 27.1248i | − | 1.22413i | −0.790809 | − | 0.612063i | \(-0.790340\pi\) | ||
0.790809 | − | 0.612063i | \(-0.209660\pi\) | |||||||
\(492\) | 8.08845 | + | 1.43059i | 0.364655 | + | 0.0644959i | ||||
\(493\) | 2.15696 | − | 1.24532i | 0.0971447 | − | 0.0560865i | ||||
\(494\) | −1.83612 | + | 1.06009i | −0.0826112 | + | 0.0476956i | ||||
\(495\) | −3.10655 | + | 0.544407i | −0.139629 | + | 0.0244693i | ||||
\(496\) | − | 1.64979i | − | 0.0740778i | ||||||
\(497\) | −6.70660 | − | 10.8396i | −0.300832 | − | 0.486224i | ||||
\(498\) | −27.1804 | + | 9.87671i | −1.21798 | + | 0.442586i | ||||
\(499\) | 21.1584 | − | 36.6475i | 0.947182 | − | 1.64057i | 0.195860 | − | 0.980632i | \(-0.437250\pi\) |
0.751322 | − | 0.659936i | \(-0.229416\pi\) | |||||||
\(500\) | 5.77165 | + | 9.99678i | 0.258116 | + | 0.447070i | ||||
\(501\) | 15.2355 | − | 18.1376i | 0.680672 | − | 0.810329i | ||||
\(502\) | 8.78569 | + | 5.07242i | 0.392125 | + | 0.226393i | ||||
\(503\) | 35.3532 | 1.57632 | 0.788160 | − | 0.615471i | \(-0.211034\pi\) | ||||
0.788160 | + | 0.615471i | \(0.211034\pi\) | |||||||
\(504\) | −5.92760 | + | 5.27859i | −0.264036 | + | 0.235127i | ||||
\(505\) | 13.2421 | 0.589265 | ||||||||
\(506\) | −1.33378 | − | 0.770061i | −0.0592940 | − | 0.0342334i | ||||
\(507\) | −1.11404 | + | 1.32624i | −0.0494761 | + | 0.0589005i | ||||
\(508\) | 7.85804 | + | 13.6105i | 0.348644 | + | 0.603870i | ||||
\(509\) | −3.45844 | + | 5.99019i | −0.153293 | + | 0.265511i | −0.932436 | − | 0.361335i | \(-0.882321\pi\) |
0.779143 | + | 0.626846i | \(0.215654\pi\) | |||||||
\(510\) | −3.02656 | + | 1.09978i | −0.134019 | + | 0.0486991i | ||||
\(511\) | −1.90492 | + | 3.54456i | −0.0842685 | + | 0.156802i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 5.49335 | + | 9.54944i | 0.242537 | + | 0.421618i | ||||
\(514\) | −23.3525 | + | 13.4826i | −1.03004 | + | 0.594691i | ||||
\(515\) | 7.30630 | − | 4.21830i | 0.321954 | − | 0.185880i | ||||
\(516\) | −13.9844 | − | 2.47339i | −0.615627 | − | 0.108885i | ||||
\(517\) | − | 1.46650i | − | 0.0644964i | ||||||
\(518\) | −1.85012 | + | 3.44260i | −0.0812897 | + | 0.151259i | ||||
\(519\) | 15.0905 | + | 41.5285i | 0.662398 | + | 1.82290i | ||||
\(520\) | 0.737837 | − | 1.27797i | 0.0323563 | − | 0.0560427i | ||||
\(521\) | 2.68088 | + | 4.64342i | 0.117452 | + | 0.203432i | 0.918757 | − | 0.394823i | \(-0.129194\pi\) |
−0.801306 | + | 0.598255i | \(0.795861\pi\) | |||||||
\(522\) | 5.57086 | + | 2.03425i | 0.243830 | + | 0.0890368i | ||||
\(523\) | −10.4865 | − | 6.05436i | −0.458541 | − | 0.264739i | 0.252890 | − | 0.967495i | \(-0.418619\pi\) |
−0.711430 | + | 0.702757i | \(0.751952\pi\) | |||||||
\(524\) | −14.0926 | −0.615640 | ||||||||
\(525\) | 12.0159 | − | 4.78548i | 0.524418 | − | 0.208855i | ||||
\(526\) | 28.4825 | 1.24189 | ||||||||
\(527\) | −1.80007 | − | 1.03927i | −0.0784123 | − | 0.0452714i | ||||
\(528\) | 0.944840 | + | 0.793660i | 0.0411189 | + | 0.0345396i | ||||
\(529\) | −9.16326 | − | 15.8712i | −0.398403 | − | 0.690054i | ||||
\(530\) | 9.79304 | − | 16.9620i | 0.425382 | − | 0.736784i | ||||
\(531\) | 22.4538 | − | 18.8008i | 0.974410 | − | 0.815886i | ||||
\(532\) | −2.95140 | − | 4.77024i | −0.127959 | − | 0.206816i | ||||
\(533\) | 4.74235i | 0.205414i | ||||||||
\(534\) | −1.13262 | + | 6.40378i | −0.0490134 | + | 0.277118i | ||||
\(535\) | 3.30226 | − | 1.90656i | 0.142769 | − | 0.0824278i | ||||
\(536\) | −6.07654 | + | 3.50829i | −0.262467 | + | 0.151535i | ||||
\(537\) | 1.83842 | − | 10.3943i | 0.0793336 | − | 0.448547i | ||||
\(538\) | 2.14149i | 0.0923260i | ||||||||
\(539\) | −0.303669 | − | 4.97767i | −0.0130800 | − | 0.214404i | ||||
\(540\) | −6.63449 | − | 3.84436i | −0.285503 | − | 0.165435i | ||||
\(541\) | −6.78137 | + | 11.7457i | −0.291554 | + | 0.504986i | −0.974177 | − | 0.225784i | \(-0.927506\pi\) |
0.682624 | + | 0.730770i | \(0.260839\pi\) | |||||||
\(542\) | −10.5924 | − | 18.3465i | −0.454981 | − | 0.788050i | ||||
\(543\) | 24.1480 | + | 20.2842i | 1.03629 | + | 0.870477i | ||||
\(544\) | 1.09109 | + | 0.629942i | 0.0467801 | + | 0.0270085i | ||||
\(545\) | 16.9002 | 0.723923 | ||||||||
\(546\) | −3.59706 | − | 2.83921i | −0.153940 | − | 0.121507i | ||||
\(547\) | −33.1898 | −1.41909 | −0.709547 | − | 0.704658i | \(-0.751101\pi\) | ||||
−0.709547 | + | 0.704658i | \(0.751101\pi\) | |||||||
\(548\) | −12.1811 | − | 7.03277i | −0.520351 | − | 0.300425i | ||||
\(549\) | −4.29683 | + | 11.7670i | −0.183384 | + | 0.502204i | ||||
\(550\) | −1.00536 | − | 1.74133i | −0.0428687 | − | 0.0742508i | ||||
\(551\) | −2.09567 | + | 3.62981i | −0.0892786 | + | 0.154635i | ||||
\(552\) | −1.27881 | − | 3.51925i | −0.0544297 | − | 0.149789i | ||||
\(553\) | −0.161861 | − | 5.31132i | −0.00688305 | − | 0.225860i | ||||
\(554\) | − | 18.8227i | − | 0.799700i | ||||||
\(555\) | −3.71789 | − | 0.657575i | −0.157815 | − | 0.0279125i | ||||
\(556\) | −1.32716 | + | 0.766236i | −0.0562841 | + | 0.0324956i | ||||
\(557\) | 21.4609 | − | 12.3905i | 0.909329 | − | 0.525001i | 0.0291135 | − | 0.999576i | \(-0.490732\pi\) |
0.880215 | + | 0.474575i | \(0.157398\pi\) | |||||||
\(558\) | −0.854333 | − | 4.87508i | −0.0361668 | − | 0.206379i | ||||
\(559\) | − | 8.19918i | − | 0.346789i | ||||||
\(560\) | 3.43909 | + | 1.84823i | 0.145328 | + | 0.0781021i | ||||
\(561\) | 1.46115 | − | 0.530947i | 0.0616898 | − | 0.0224166i | ||||
\(562\) | −10.9479 | + | 18.9623i | −0.461809 | + | 0.799878i | ||||
\(563\) | 6.39650 | + | 11.0791i | 0.269580 | + | 0.466927i | 0.968753 | − | 0.248026i | \(-0.0797817\pi\) |
−0.699173 | + | 0.714952i | \(0.746448\pi\) | |||||||
\(564\) | 2.29322 | − | 2.73004i | 0.0965619 | − | 0.114955i | ||||
\(565\) | −5.79444 | − | 3.34542i | −0.243774 | − | 0.140743i | ||||
\(566\) | −1.37833 | −0.0579354 | ||||||||
\(567\) | −14.7824 | + | 18.6676i | −0.620802 | + | 0.783967i | ||||
\(568\) | −4.81777 | −0.202149 | ||||||||
\(569\) | 25.9976 | + | 15.0097i | 1.08988 | + | 0.629240i | 0.933544 | − | 0.358464i | \(-0.116699\pi\) |
0.156333 | + | 0.987704i | \(0.450033\pi\) | |||||||
\(570\) | 3.48547 | − | 4.14940i | 0.145990 | − | 0.173799i | ||||
\(571\) | −11.1007 | − | 19.2270i | −0.464551 | − | 0.804626i | 0.534630 | − | 0.845086i | \(-0.320451\pi\) |
−0.999181 | + | 0.0404599i | \(0.987118\pi\) | |||||||
\(572\) | −0.356209 | + | 0.616972i | −0.0148938 | + | 0.0257969i | ||||
\(573\) | −13.8746 | + | 5.04169i | −0.579619 | + | 0.210620i | ||||
\(574\) | −12.5413 | + | 0.382192i | −0.523462 | + | 0.0159524i | ||||
\(575\) | 6.10150i | 0.254450i | ||||||||
\(576\) | 0.517844 | + | 2.95497i | 0.0215768 | + | 0.123124i | ||||
\(577\) | 10.9229 | − | 6.30634i | 0.454727 | − | 0.262536i | −0.255098 | − | 0.966915i | \(-0.582108\pi\) |
0.709824 | + | 0.704379i | \(0.248774\pi\) | |||||||
\(578\) | −13.3478 | + | 7.70635i | −0.555195 | + | 0.320542i | ||||
\(579\) | 17.8842 | + | 3.16315i | 0.743242 | + | 0.131456i | ||||
\(580\) | − | 2.91724i | − | 0.121132i | ||||||
\(581\) | 37.5660 | − | 23.2425i | 1.55850 | − | 0.964262i | ||||
\(582\) | −3.54317 | − | 9.75071i | −0.146869 | − | 0.404180i | ||||
\(583\) | −4.72783 | + | 8.18885i | −0.195807 | + | 0.339147i | ||||
\(584\) | 0.760465 | + | 1.31716i | 0.0314683 | + | 0.0545046i | ||||
\(585\) | 1.51850 | − | 4.15845i | 0.0627821 | − | 0.171931i | ||||
\(586\) | 20.3000 | + | 11.7202i | 0.838587 | + | 0.484158i | ||||
\(587\) | −23.0865 | −0.952884 | −0.476442 | − | 0.879206i | \(-0.658074\pi\) | ||||
−0.476442 | + | 0.879206i | \(0.658074\pi\) | |||||||
\(588\) | 7.21847 | − | 9.74134i | 0.297685 | − | 0.401726i | ||||
\(589\) | 3.49784 | 0.144126 | ||||||||
\(590\) | −12.4753 | − | 7.20265i | −0.513602 | − | 0.296528i | ||||
\(591\) | −36.5331 | − | 30.6876i | −1.50277 | − | 1.26232i | ||||
\(592\) | 0.738591 | + | 1.27928i | 0.0303559 | + | 0.0525779i | ||||
\(593\) | 11.8378 | − | 20.5037i | 0.486122 | − | 0.841987i | −0.513751 | − | 0.857939i | \(-0.671745\pi\) |
0.999873 | + | 0.0159520i | \(0.00507790\pi\) | |||||||
\(594\) | 3.20296 | + | 1.85596i | 0.131419 | + | 0.0761510i | ||||
\(595\) | 4.18301 | − | 2.58808i | 0.171487 | − | 0.106101i | ||||
\(596\) | 16.7599i | 0.686512i | ||||||||
\(597\) | 5.44466 | − | 30.7838i | 0.222835 | − | 1.25990i | ||||
\(598\) | 1.87219 | − | 1.08091i | 0.0765597 | − | 0.0442018i | ||||
\(599\) | 1.09795 | − | 0.633902i | 0.0448611 | − | 0.0259005i | −0.477402 | − | 0.878685i | \(-0.658421\pi\) |
0.522263 | + | 0.852785i | \(0.325088\pi\) | |||||||
\(600\) | 0.851409 | − | 4.81381i | 0.0347586 | − | 0.196523i | ||||
\(601\) | − | 25.2631i | − | 1.03050i | −0.857040 | − | 0.515251i | \(-0.827699\pi\) | ||
0.857040 | − | 0.515251i | \(-0.172301\pi\) | |||||||
\(602\) | 21.6829 | − | 0.660783i | 0.883730 | − | 0.0269315i | ||||
\(603\) | −16.1392 | + | 13.5136i | −0.657241 | + | 0.550316i | ||||
\(604\) | −7.58068 | + | 13.1301i | −0.308454 | + | 0.534257i | ||||
\(605\) | 7.74172 | + | 13.4091i | 0.314746 | + | 0.545156i | ||||
\(606\) | −11.9012 | − | 9.99691i | −0.483452 | − | 0.406097i | ||||
\(607\) | 13.9578 | + | 8.05855i | 0.566530 | + | 0.327086i | 0.755762 | − | 0.654846i | \(-0.227267\pi\) |
−0.189232 | + | 0.981932i | \(0.560600\pi\) | |||||||
\(608\) | −2.12017 | −0.0859844 | ||||||||
\(609\) | −8.96469 | − | 1.30534i | −0.363268 | − | 0.0528948i | ||||
\(610\) | 6.16191 | 0.249489 | ||||||||
\(611\) | 1.78269 | + | 1.02924i | 0.0721200 | + | 0.0416385i | ||||
\(612\) | 3.55035 | + | 1.29644i | 0.143514 | + | 0.0524056i | ||||
\(613\) | −9.56329 | − | 16.5641i | −0.386258 | − | 0.669018i | 0.605685 | − | 0.795704i | \(-0.292899\pi\) |
−0.991943 | + | 0.126687i | \(0.959566\pi\) | |||||||
\(614\) | −3.75798 | + | 6.50900i | −0.151660 | + | 0.262682i | ||||
\(615\) | −4.13970 | − | 11.3923i | −0.166929 | − | 0.459384i | ||||
\(616\) | −1.66030 | − | 0.892281i | −0.0668956 | − | 0.0359510i | ||||
\(617\) | − | 4.04245i | − | 0.162743i | −0.996684 | − | 0.0813715i | \(-0.974070\pi\) | ||
0.996684 | − | 0.0813715i | \(-0.0259300\pi\) | |||||||
\(618\) | −9.75099 | − | 1.72464i | −0.392242 | − | 0.0693751i | ||||
\(619\) | −38.4517 | + | 22.2001i | −1.54550 | + | 0.892297i | −0.547027 | + | 0.837115i | \(0.684240\pi\) |
−0.998476 | + | 0.0551818i | \(0.982426\pi\) | |||||||
\(620\) | −2.10838 | + | 1.21728i | −0.0846747 | + | 0.0488870i | ||||
\(621\) | −5.60126 | − | 9.73703i | −0.224771 | − | 0.390734i | ||||
\(622\) | − | 6.15375i | − | 0.246743i | ||||||
\(623\) | −0.302589 | − | 9.92914i | −0.0121230 | − | 0.397803i | ||||
\(624\) | −1.62791 | + | 0.591542i | −0.0651684 | + | 0.0236806i | ||||
\(625\) | 1.46109 | − | 2.53069i | 0.0584438 | − | 0.101228i | ||||
\(626\) | 13.0024 | + | 22.5207i | 0.519678 | + | 0.900109i | ||||
\(627\) | −1.68270 | + | 2.00323i | −0.0672005 | + | 0.0800011i | ||||
\(628\) | −13.4848 | − | 7.78544i | −0.538101 | − | 0.310673i | ||||
\(629\) | 1.86108 | 0.0742060 | ||||||||
\(630\) | 11.1195 | + | 3.68056i | 0.443011 | + | 0.146637i | ||||
\(631\) | 12.5677 | 0.500314 | 0.250157 | − | 0.968205i | \(-0.419518\pi\) | ||||
0.250157 | + | 0.968205i | \(0.419518\pi\) | |||||||
\(632\) | −1.73934 | − | 1.00421i | −0.0691874 | − | 0.0399454i | ||||
\(633\) | −3.31964 | + | 3.95198i | −0.131944 | + | 0.157077i | ||||
\(634\) | 6.83359 | + | 11.8361i | 0.271397 | + | 0.470073i | ||||
\(635\) | 11.5959 | − | 20.0847i | 0.460170 | − | 0.797037i | ||||
\(636\) | −21.6066 | + | 7.85132i | −0.856757 | + | 0.311325i | ||||
\(637\) | 6.26405 | + | 3.12436i | 0.248191 | + | 0.123792i | ||||
\(638\) | 1.40837i | 0.0557579i | ||||||||
\(639\) | −14.2363 | + | 2.49485i | −0.563181 | + | 0.0986947i | ||||
\(640\) | 1.27797 | − | 0.737837i | 0.0505162 | − | 0.0291656i | ||||
\(641\) | −20.6913 | + | 11.9462i | −0.817259 | + | 0.471845i | −0.849470 | − | 0.527636i | \(-0.823078\pi\) |
0.0322113 | + | 0.999481i | \(0.489745\pi\) | |||||||
\(642\) | −4.40720 | − | 0.779492i | −0.173938 | − | 0.0307641i | ||||
\(643\) | − | 23.9933i | − | 0.946205i | −0.881007 | − | 0.473103i | \(-0.843134\pi\) | ||
0.881007 | − | 0.473103i | \(-0.156866\pi\) | |||||||
\(644\) | 3.00938 | + | 4.86395i | 0.118586 | + | 0.191666i | ||||
\(645\) | 7.15726 | + | 19.6966i | 0.281817 | + | 0.775551i | ||||
\(646\) | −1.33559 | + | 2.31330i | −0.0525479 | + | 0.0910157i | ||||
\(647\) | −3.31341 | − | 5.73900i | −0.130264 | − | 0.225623i | 0.793514 | − | 0.608551i | \(-0.208249\pi\) |
−0.923778 | + | 0.382928i | \(0.874916\pi\) | |||||||
\(648\) | 3.06042 | + | 8.46368i | 0.120225 | + | 0.332485i | ||||
\(649\) | 6.02279 | + | 3.47726i | 0.236415 | + | 0.136494i | ||||
\(650\) | 2.82239 | 0.110703 | ||||||||
\(651\) | 2.79729 | + | 7.02376i | 0.109634 | + | 0.275283i | ||||
\(652\) | 23.5801 | 0.923468 | ||||||||
\(653\) | 13.2630 | + | 7.65742i | 0.519023 | + | 0.299658i | 0.736535 | − | 0.676400i | \(-0.236461\pi\) |
−0.217512 | + | 0.976058i | \(0.569794\pi\) | |||||||
\(654\) | −15.1888 | − | 12.7585i | −0.593929 | − | 0.498897i | ||||
\(655\) | 10.3981 | + | 18.0100i | 0.406286 | + | 0.703708i | ||||
\(656\) | −2.37117 | + | 4.10699i | −0.0925788 | + | 0.160351i | ||||
\(657\) | 2.92924 | + | 3.49838i | 0.114280 | + | 0.136485i | ||||
\(658\) | −2.57817 | + | 4.79732i | −0.100508 | + | 0.187019i | ||||
\(659\) | 25.8336i | 1.00633i | 0.864189 | + | 0.503167i | \(0.167832\pi\) | ||||
−0.864189 | + | 0.503167i | \(0.832168\pi\) | |||||||
\(660\) | 0.317137 | − | 1.79307i | 0.0123445 | − | 0.0697951i | ||||
\(661\) | −18.6895 | + | 10.7904i | −0.726936 | + | 0.419697i | −0.817300 | − | 0.576212i | \(-0.804530\pi\) |
0.0903641 | + | 0.995909i | \(0.471197\pi\) | |||||||
\(662\) | 6.16188 | − | 3.55757i | 0.239488 | − | 0.138269i | ||||
\(663\) | −0.380060 | + | 2.14883i | −0.0147603 | + | 0.0834537i | ||||
\(664\) | − | 16.6965i | − | 0.647951i | ||||||
\(665\) | −3.91858 | + | 7.29146i | −0.151956 | + | 0.282751i | ||||
\(666\) | 2.84498 | + | 3.39775i | 0.110241 | + | 0.131660i | ||||
\(667\) | 2.13684 | − | 3.70111i | 0.0827387 | − | 0.143308i | ||||
\(668\) | 6.83797 | + | 11.8437i | 0.264569 | + | 0.458247i | ||||
\(669\) | −3.38153 | − | 2.84047i | −0.130738 | − | 0.109819i | ||||
\(670\) | 8.96699 | + | 5.17709i | 0.346425 | + | 0.200009i | ||||
\(671\) | −2.97482 | −0.114842 | ||||||||
\(672\) | −1.69554 | − | 4.25736i | −0.0654070 | − | 0.164231i | ||||
\(673\) | −23.3592 | −0.900431 | −0.450216 | − | 0.892920i | \(-0.648653\pi\) | ||||
−0.450216 | + | 0.892920i | \(0.648653\pi\) | |||||||
\(674\) | −1.58332 | − | 0.914131i | −0.0609873 | − | 0.0352110i | ||||
\(675\) | 0.0230870 | − | 14.6655i | 0.000888619 | − | 0.564477i | ||||
\(676\) | −0.500000 | − | 0.866025i | −0.0192308 | − | 0.0333087i | ||||
\(677\) | 10.1408 | − | 17.5644i | 0.389743 | − | 0.675054i | −0.602672 | − | 0.797989i | \(-0.705897\pi\) |
0.992415 | + | 0.122935i | \(0.0392307\pi\) | |||||||
\(678\) | 2.68211 | + | 7.38108i | 0.103006 | + | 0.283469i | ||||
\(679\) | 8.33803 | + | 13.4765i | 0.319984 | + | 0.517179i | ||||
\(680\) | − | 1.85918i | − | 0.0712962i | ||||||
\(681\) | −14.0620 | − | 2.48711i | −0.538855 | − | 0.0953063i | ||||
\(682\) | 1.01787 | − | 0.587670i | 0.0389764 | − | 0.0225031i | ||||
\(683\) | −16.7121 | + | 9.64873i | −0.639470 | + | 0.369198i | −0.784410 | − | 0.620242i | \(-0.787034\pi\) |
0.144940 | + | 0.989440i | \(0.453701\pi\) | |||||||
\(684\) | −6.26505 | + | 1.09792i | −0.239550 | + | 0.0419800i | ||||
\(685\) | 20.7561i | 0.793051i | ||||||||
\(686\) | −7.75762 | + | 16.8172i | −0.296187 | + | 0.642085i | ||||
\(687\) | −12.9786 | + | 4.71610i | −0.495163 | + | 0.179931i | ||||
\(688\) | 4.09959 | − | 7.10070i | 0.156295 | − | 0.270712i | ||||
\(689\) | −6.63632 | − | 11.4944i | −0.252824 | − | 0.437903i | ||||
\(690\) | −3.55394 | + | 4.23091i | −0.135296 | + | 0.161068i | ||||
\(691\) | 5.44524 | + | 3.14381i | 0.207147 | + | 0.119596i | 0.599985 | − | 0.800011i | \(-0.295173\pi\) |
−0.392838 | + | 0.919608i | \(0.628507\pi\) | |||||||
\(692\) | −25.5104 | −0.969760 | ||||||||
\(693\) | −5.36821 | − | 1.77688i | −0.203921 | − | 0.0674982i | ||||
\(694\) | −20.9049 | −0.793540 | ||||||||
\(695\) | 1.95845 | + | 1.13071i | 0.0742884 | + | 0.0428904i | ||||
\(696\) | −2.20232 | + | 2.62183i | −0.0834789 | + | 0.0993803i | ||||
\(697\) | 2.98740 | + | 5.17433i | 0.113156 | + | 0.195992i | ||||
\(698\) | 15.1263 | − | 26.1996i | 0.572540 | − | 0.991668i | ||||
\(699\) | −42.6814 | + | 15.5094i | −1.61436 | + | 0.586619i | ||||
\(700\) | 0.227460 | + | 7.46387i | 0.00859718 | + | 0.282108i | ||||
\(701\) | 34.1003i | 1.28795i | 0.765046 | + | 0.643976i | \(0.222716\pi\) | ||||
−0.765046 | + | 0.643976i | \(0.777284\pi\) | |||||||
\(702\) | −4.50408 | + | 2.59099i | −0.169996 | + | 0.0977906i | ||||
\(703\) | −2.71229 | + | 1.56594i | −0.102296 | + | 0.0590606i | ||||
\(704\) | −0.616972 | + | 0.356209i | −0.0232530 | + | 0.0134251i | ||||
\(705\) | −5.18093 | − | 0.916342i | −0.195125 | − | 0.0345114i | ||||
\(706\) | − | 6.75115i | − | 0.254083i | ||||||
\(707\) | 20.9131 | + | 11.2391i | 0.786519 | + | 0.422691i | ||||
\(708\) | 5.77454 | + | 15.8914i | 0.217021 | + | 0.597234i | ||||
\(709\) | 23.4010 | − | 40.5318i | 0.878844 | − | 1.52220i | 0.0262328 | − | 0.999656i | \(-0.491649\pi\) |
0.852611 | − | 0.522546i | \(-0.175018\pi\) | |||||||
\(710\) | 3.55473 | + | 6.15697i | 0.133406 | + | 0.231067i | ||||
\(711\) | −5.65973 | − | 2.06670i | −0.212256 | − | 0.0775074i | ||||
\(712\) | −3.25158 | − | 1.87730i | −0.121858 | − | 0.0703549i | ||||
\(713\) | −3.56656 | −0.133569 | ||||||||
\(714\) | −5.71326 | − | 0.831899i | −0.213813 | − | 0.0311330i | ||||
\(715\) | 1.05130 | 0.0393163 | ||||||||
\(716\) | 5.27781 | + | 3.04714i | 0.197241 | + | 0.113877i | ||||
\(717\) | −21.4469 | − | 18.0152i | −0.800948 | − | 0.672792i | ||||
\(718\) | 3.82151 | + | 6.61905i | 0.142618 | + | 0.247021i | ||||
\(719\) | −10.4968 | + | 18.1810i | −0.391465 | + | 0.678037i | −0.992643 | − | 0.121078i | \(-0.961365\pi\) |
0.601178 | + | 0.799115i | \(0.294698\pi\) | |||||||
\(720\) | 3.39428 | − | 2.84207i | 0.126497 | − | 0.105918i | ||||
\(721\) | 15.1190 | − | 0.460750i | 0.563062 | − | 0.0171592i | ||||
\(722\) | 14.5049i | 0.539815i | ||||||||
\(723\) | −3.98158 | + | 22.5116i | −0.148076 | + | 0.837214i | ||||
\(724\) | −15.7684 | + | 9.10391i | −0.586029 | + | 0.338344i | ||||
\(725\) | 4.83202 | − | 2.78977i | 0.179457 | − | 0.103609i | ||||
\(726\) | 3.16518 | − | 17.8957i | 0.117471 | − | 0.664172i | ||||
\(727\) | − | 17.4752i | − | 0.648121i | −0.946036 | − | 0.324060i | \(-0.894952\pi\) | ||
0.946036 | − | 0.324060i | \(-0.105048\pi\) | |||||||
\(728\) | 2.24993 | − | 1.39206i | 0.0833879 | − | 0.0515930i | ||||
\(729\) | 13.4263 | + | 23.4251i | 0.497271 | + | 0.867595i | ||||
\(730\) | 1.12220 | − | 1.94370i | 0.0415344 | − | 0.0719397i | ||||
\(731\) | −5.16501 | − | 8.94605i | −0.191035 | − | 0.330882i | ||||
\(732\) | −5.53794 | − | 4.65184i | −0.204688 | − | 0.171937i | ||||
\(733\) | 13.0692 | + | 7.54551i | 0.482722 | + | 0.278700i | 0.721550 | − | 0.692362i | \(-0.243430\pi\) |
−0.238828 | + | 0.971062i | \(0.576763\pi\) | |||||||
\(734\) | −18.4828 | −0.682213 | ||||||||
\(735\) | −17.7752 | − | 2.03748i | −0.655648 | − | 0.0751537i | ||||
\(736\) | 2.16182 | 0.0796859 | ||||||||
\(737\) | −4.32904 | − | 2.49937i | −0.159462 | − | 0.0920655i | ||||
\(738\) | −4.87996 | + | 13.3639i | −0.179634 | + | 0.491933i | ||||
\(739\) | −25.1280 | − | 43.5229i | −0.924348 | − | 1.60102i | −0.792607 | − | 0.609733i | \(-0.791277\pi\) |
−0.131740 | − | 0.991284i | \(-0.542057\pi\) | |||||||
\(740\) | 1.08992 | − | 1.88779i | 0.0400662 | − | 0.0693967i | ||||
\(741\) | −1.25417 | − | 3.45144i | −0.0460732 | − | 0.126792i | ||||
\(742\) | 29.8625 | − | 18.4762i | 1.09629 | − | 0.678284i | ||||
\(743\) | 11.2555i | 0.412925i | 0.978455 | + | 0.206462i | \(0.0661951\pi\) | ||||
−0.978455 | + | 0.206462i | \(0.933805\pi\) | |||||||
\(744\) | 2.81385 | + | 0.497680i | 0.103161 | + | 0.0182458i | ||||
\(745\) | 21.4187 | − | 12.3661i | 0.784719 | − | 0.453058i | ||||
\(746\) | −4.43510 | + | 2.56061i | −0.162381 | + | 0.0937505i | ||||
\(747\) | −8.64620 | − | 49.3377i | −0.316348 | − | 1.80517i | ||||
\(748\) | 0.897564i | 0.0328182i | ||||||||
\(749\) | 6.83342 | − | 0.208247i | 0.249688 | − | 0.00760918i | ||||
\(750\) | −18.7914 | + | 6.82834i | −0.686165 | + | 0.249336i | ||||
\(751\) | −20.0363 | + | 34.7039i | −0.731136 | + | 1.26636i | 0.225262 | + | 0.974298i | \(0.427676\pi\) |
−0.956398 | + | 0.292066i | \(0.905657\pi\) | |||||||
\(752\) | 1.02924 | + | 1.78269i | 0.0375324 | + | 0.0650081i | ||||
\(753\) | −11.3017 | + | 13.4545i | −0.411858 | + | 0.490311i | ||||
\(754\) | −1.71203 | − | 0.988443i | −0.0623486 | − | 0.0359970i | ||||
\(755\) | 22.3732 | 0.814245 | ||||||||
\(756\) | −7.21492 | − | 11.7023i | −0.262404 | − | 0.425610i | ||||
\(757\) | 7.74903 | 0.281643 | 0.140822 | − | 0.990035i | \(-0.455026\pi\) | ||||
0.140822 | + | 0.990035i | \(0.455026\pi\) | |||||||
\(758\) | 14.8276 | + | 8.56074i | 0.538564 | + | 0.310940i | ||||
\(759\) | 1.71575 | − | 2.04258i | 0.0622779 | − | 0.0741408i | ||||
\(760\) | 1.56434 | + | 2.70952i | 0.0567447 | + | 0.0982847i | ||||
\(761\) | 13.4912 | − | 23.3675i | 0.489057 | − | 0.847071i | −0.510864 | − | 0.859661i | \(-0.670674\pi\) |
0.999921 | + | 0.0125906i | \(0.00400782\pi\) | |||||||
\(762\) | −25.5843 | + | 9.29673i | −0.926822 | + | 0.336785i | ||||
\(763\) | 26.6903 | + | 14.3439i | 0.966254 | + | 0.519284i | ||||
\(764\) | − | 8.52297i | − | 0.308350i | ||||||
\(765\) | −0.962763 | − | 5.49381i | −0.0348088 | − | 0.198629i | ||||
\(766\) | 14.4975 | − | 8.37015i | 0.523817 | − | 0.302426i | ||||
\(767\) | −8.45400 | + | 4.88092i | −0.305256 | + | 0.176240i | ||||
\(768\) | −1.70558 | − | 0.301663i | −0.0615448 | − | 0.0108853i | ||||
\(769\) | − | 17.8098i | − | 0.642236i | −0.947039 | − | 0.321118i | \(-0.895941\pi\) | ||
0.947039 | − | 0.321118i | \(-0.104059\pi\) | |||||||
\(770\) | 0.0847254 | + | 2.78018i | 0.00305329 | + | 0.100191i | ||||
\(771\) | −15.9510 | − | 43.8968i | −0.574462 | − | 1.58090i | ||||
\(772\) | −5.24285 | + | 9.08089i | −0.188694 | + | 0.326828i | ||||
\(773\) | −2.47459 | − | 4.28611i | −0.0890047 | − | 0.154161i | 0.818086 | − | 0.575096i | \(-0.195035\pi\) |
−0.907091 | + | 0.420935i | \(0.861702\pi\) | |||||||
\(774\) | 8.43711 | − | 23.1053i | 0.303266 | − | 0.830503i | ||||
\(775\) | −4.03252 | − | 2.32817i | −0.144852 | − | 0.0836305i | ||||
\(776\) | 5.98973 | 0.215019 | ||||||||
\(777\) | −5.31352 | − | 4.19403i | −0.190621 | − | 0.150460i | ||||
\(778\) | 19.9669 | 0.715846 | ||||||||
\(779\) | −8.70754 | − | 5.02730i | −0.311980 | − | 0.180122i | ||||
\(780\) | 1.95710 | + | 1.64395i | 0.0700755 | + | 0.0588630i | ||||
\(781\) | −1.71613 | − | 2.97243i | −0.0614080 | − | 0.106362i | ||||
\(782\) | 1.36182 | − | 2.35875i | 0.0486987 | − | 0.0843486i | ||||
\(783\) | −5.15010 | + | 8.88789i | −0.184049 | + | 0.317627i | ||||
\(784\) | 3.86265 | + | 5.83780i | 0.137952 | + | 0.208493i | ||||
\(785\) | 22.9775i | 0.820103i | ||||||||
\(786\) | 4.25122 | − | 24.0361i | 0.151636 | − | 0.857340i | ||||
\(787\) | −22.3467 | + | 12.9019i | −0.796575 | + | 0.459903i | −0.842272 | − | 0.539053i | \(-0.818782\pi\) |
0.0456973 | + | 0.998955i | \(0.485449\pi\) | |||||||
\(788\) | 23.8558 | − | 13.7732i | 0.849828 | − | 0.490648i | ||||
\(789\) | −8.59209 | + | 48.5791i | −0.305887 | + | 1.72946i | ||||
\(790\) | 2.96377i | 0.105446i | ||||||||
\(791\) | −6.31171 | − | 10.2014i | −0.224419 | − | 0.362720i | ||||
\(792\) | −1.63867 | + | 1.37208i | −0.0582277 | + | 0.0487548i | ||||
\(793\) | 2.08783 | − | 3.61623i | 0.0741410 | − | 0.128416i | ||||
\(794\) | −4.34555 | − | 7.52672i | −0.154218 | − | 0.267113i | ||||
\(795\) | 25.9759 | + | 21.8196i | 0.921270 | + | 0.773862i | ||||
\(796\) | 15.6308 | + | 9.02443i | 0.554018 | + | 0.319862i | ||||
\(797\) | −25.3698 | −0.898645 | −0.449323 | − | 0.893370i | \(-0.648335\pi\) | ||||
−0.449323 | + | 0.893370i | \(0.648335\pi\) | |||||||
\(798\) | 9.02635 | − | 3.59485i | 0.319529 | − | 0.127256i | ||||
\(799\) | 2.59344 | 0.0917493 | ||||||||
\(800\) | 2.44426 | + | 1.41119i | 0.0864176 | + | 0.0498932i | ||||
\(801\) | −10.5805 | − | 3.86356i | −0.373843 | − | 0.136512i | ||||
\(802\) | −5.32841 | − | 9.22909i | −0.188153 | − | 0.325890i | ||||
\(803\) | −0.541769 | + | 0.938372i | −0.0191186 | + | 0.0331144i | ||||
\(804\) | −4.15061 | − | 11.4223i | −0.146381 | − | 0.402835i | ||||
\(805\) | 3.99555 | − | 7.43470i | 0.140825 | − | 0.262039i | ||||
\(806\) | 1.64979i | 0.0581114i | ||||||||
\(807\) | −3.65247 | − | 0.646006i | −0.128573 | − | 0.0227405i | ||||
\(808\) | 7.77135 | − | 4.48679i | 0.273395 | − | 0.157845i | ||||
\(809\) | 22.2087 | − | 12.8222i | 0.780816 | − | 0.450804i | −0.0559033 | − | 0.998436i | \(-0.517804\pi\) |
0.836719 | + | 0.547632i | \(0.184471\pi\) | |||||||
\(810\) | 8.55824 | − | 10.1559i | 0.300706 | − | 0.356843i | ||||
\(811\) | − | 25.6113i | − | 0.899333i | −0.893196 | − | 0.449667i | \(-0.851543\pi\) | ||
0.893196 | − | 0.449667i | \(-0.148457\pi\) | |||||||
\(812\) | 2.47599 | − | 4.60717i | 0.0868901 | − | 0.161680i | ||||
\(813\) | 34.4868 | − | 12.5317i | 1.20950 | − | 0.439505i | ||||
\(814\) | −0.526185 | + | 0.911380i | −0.0184428 | + | 0.0319438i | ||||
\(815\) | −17.3983 | − | 30.1347i | −0.609435 | − | 1.05557i | ||||
\(816\) | −1.40356 | + | 1.67091i | −0.0491343 | + | 0.0584936i | ||||
\(817\) | 15.0547 | + | 8.69185i | 0.526698 | + | 0.304089i | ||||
\(818\) | 19.9352 | 0.697019 | ||||||||
\(819\) | 5.92760 | − | 5.27859i | 0.207127 | − | 0.184449i | ||||
\(820\) | 6.99816 | 0.244386 | ||||||||
\(821\) | 14.5678 | + | 8.41070i | 0.508418 | + | 0.293536i | 0.732183 | − | 0.681108i | \(-0.238501\pi\) |
−0.223765 | + | 0.974643i | \(0.571835\pi\) | |||||||
\(822\) | 15.6695 | − | 18.6543i | 0.546537 | − | 0.650644i | ||||
\(823\) | −7.99185 | − | 13.8423i | −0.278578 | − | 0.482512i | 0.692453 | − | 0.721463i | \(-0.256530\pi\) |
−0.971032 | + | 0.238951i | \(0.923196\pi\) | |||||||
\(824\) | 2.85856 | − | 4.95116i | 0.0995825 | − | 0.172482i | ||||
\(825\) | 3.27326 | − | 1.18943i | 0.113960 | − | 0.0414105i | ||||
\(826\) | −13.5890 | − | 21.9635i | −0.472823 | − | 0.764206i | ||||
\(827\) | − | 49.9019i | − | 1.73526i | −0.497210 | − | 0.867630i | \(-0.665642\pi\) | ||
0.497210 | − | 0.867630i | \(-0.334358\pi\) | |||||||
\(828\) | 6.38812 | − | 1.11949i | 0.222002 | − | 0.0389048i | ||||
\(829\) | 31.7041 | − | 18.3044i | 1.10113 | − | 0.635737i | 0.164611 | − | 0.986359i | \(-0.447363\pi\) |
0.936517 | + | 0.350622i | \(0.114030\pi\) | |||||||
\(830\) | −21.3377 | + | 12.3193i | −0.740642 | + | 0.427610i | ||||
\(831\) | 32.1036 | + | 5.67810i | 1.11366 | + | 0.196971i | ||||
\(832\) | − | 1.00000i | − | 0.0346688i | ||||||
\(833\) | 8.80282 | − | 0.537027i | 0.305000 | − | 0.0186069i | ||||
\(834\) | −0.906521 | − | 2.49472i | −0.0313903 | − | 0.0863851i | ||||
\(835\) | 10.0906 | − | 17.4774i | 0.349200 | − | 0.604832i | ||||
\(836\) | −0.755225 | − | 1.30809i | −0.0261200 | − | 0.0452412i | ||||
\(837\) | 8.57255 | + | 0.0134952i | 0.296311 | + | 0.000466463i | ||||
\(838\) | 17.5755 | + | 10.1472i | 0.607134 | + | 0.350529i | ||||
\(839\) | −41.4486 | −1.43097 | −0.715483 | − | 0.698630i | \(-0.753793\pi\) | ||||
−0.715483 | + | 0.698630i | \(0.753793\pi\) | |||||||
\(840\) | −4.18975 | + | 5.30809i | −0.144560 | + | 0.183147i | ||||
\(841\) | 25.0919 | 0.865239 | ||||||||
\(842\) | 16.3926 | + | 9.46429i | 0.564927 | + | 0.326161i | ||||
\(843\) | −29.0392 | − | 24.3927i | −1.00016 | − | 0.840131i | ||||
\(844\) | −1.48992 | − | 2.58061i | −0.0512850 | − | 0.0888283i | ||||
\(845\) | −0.737837 | + | 1.27797i | −0.0253824 | + | 0.0439635i | ||||
\(846\) | 3.96452 | + | 4.73482i | 0.136303 | + | 0.162786i | ||||
\(847\) | 0.845602 | + | 27.7476i | 0.0290552 | + | 0.953417i | ||||
\(848\) | − | 13.2726i | − | 0.455784i | ||||||
\(849\) | 0.415789 | − | 2.35085i | 0.0142699 | − | 0.0806808i | ||||
\(850\) | 3.07948 | − | 1.77794i | 0.105625 | − | 0.0609828i | ||||
\(851\) | 2.76557 | − | 1.59670i | 0.0948025 | − | 0.0547343i | ||||
\(852\) | 1.45334 | − | 8.21708i | 0.0497906 | − | 0.281513i | ||||
\(853\) | 34.2914i | 1.17412i | 0.809545 | + | 0.587058i | \(0.199714\pi\) | ||||
−0.809545 | + | 0.587058i | \(0.800286\pi\) | |||||||
\(854\) | 9.73146 | + | 5.22988i | 0.333004 | + | 0.178963i | ||||
\(855\) | 6.02569 | + | 7.19646i | 0.206074 | + | 0.246114i | ||||
\(856\) | 1.29199 | − | 2.23780i | 0.0441594 | − | 0.0764864i | ||||
\(857\) | −0.370855 | − | 0.642339i | −0.0126682 | − | 0.0219419i | 0.859622 | − | 0.510931i | \(-0.170699\pi\) |
−0.872290 | + | 0.488989i | \(0.837366\pi\) | |||||||
\(858\) | −0.944840 | − | 0.793660i | −0.0322563 | − | 0.0270951i | ||||
\(859\) | 10.0183 | + | 5.78405i | 0.341819 | + | 0.197349i | 0.661076 | − | 0.750319i | \(-0.270100\pi\) |
−0.319257 | + | 0.947668i | \(0.603433\pi\) | |||||||
\(860\) | −12.0993 | −0.412583 | ||||||||
\(861\) | 3.13137 | − | 21.5054i | 0.106717 | − | 0.732902i | ||||
\(862\) | 2.60381 | 0.0886863 | ||||||||
\(863\) | −22.7050 | − | 13.1087i | −0.772886 | − | 0.446226i | 0.0610174 | − | 0.998137i | \(-0.480565\pi\) |
−0.833903 | + | 0.551911i | \(0.813899\pi\) | |||||||
\(864\) | −5.19615 | − | 0.00817995i | −0.176776 | − | 0.000278288i | ||||
\(865\) | 18.8225 | + | 32.6015i | 0.639985 | + | 1.10849i | ||||
\(866\) | 14.1437 | − | 24.4975i | 0.480621 | − | 0.832460i | ||||
\(867\) | −9.11726 | − | 25.0904i | −0.309638 | − | 0.852115i | ||||
\(868\) | −4.36291 | + | 0.132959i | −0.148087 | + | 0.00451292i | ||||
\(869\) | − | 1.43084i | − | 0.0485378i | ||||||
\(870\) | 4.97558 | + | 0.880021i | 0.168688 | + | 0.0298355i | ||||
\(871\) | 6.07654 | − | 3.50829i | 0.205896 | − | 0.118874i | ||||
\(872\) | 9.91816 | − | 5.72625i | 0.335871 | − | 0.193915i | ||||
\(873\) | 17.6994 | − | 3.10174i | 0.599036 | − | 0.104978i | ||||
\(874\) | 4.58344i | 0.155037i | ||||||||
\(875\) | 25.9716 | − | 16.0689i | 0.878000 | − | 0.543228i | ||||
\(876\) | −2.47593 | + | 0.899694i | −0.0836540 | + | 0.0303979i | ||||
\(877\) | −8.17596 | + | 14.1612i | −0.276083 | + | 0.478189i | −0.970408 | − | 0.241472i | \(-0.922370\pi\) |
0.694325 | + | 0.719662i | \(0.255703\pi\) | |||||||
\(878\) | −19.9421 | − | 34.5408i | −0.673014 | − | 1.16569i | ||||
\(879\) | −26.1135 | + | 31.0878i | −0.880788 | + | 1.04856i | ||||
\(880\) | 0.910449 | + | 0.525648i | 0.0306912 | + | 0.0177196i | ||||
\(881\) | −52.8947 | −1.78207 | −0.891033 | − | 0.453938i | \(-0.850019\pi\) | ||||
−0.891033 | + | 0.453938i | \(0.850019\pi\) | |||||||
\(882\) | 14.4371 | + | 15.2503i | 0.486122 | + | 0.513503i | ||||
\(883\) | −54.9388 | −1.84884 | −0.924419 | − | 0.381378i | \(-0.875450\pi\) | ||||
−0.924419 | + | 0.381378i | \(0.875450\pi\) | |||||||
\(884\) | −1.09109 | − | 0.629942i | −0.0366974 | − | 0.0211872i | ||||
\(885\) | 16.0480 | − | 19.1049i | 0.539449 | − | 0.642205i | ||||
\(886\) | 6.94666 | + | 12.0320i | 0.233378 | + | 0.404222i | ||||
\(887\) | 16.1173 | − | 27.9160i | 0.541166 | − | 0.937328i | −0.457671 | − | 0.889122i | \(-0.651316\pi\) |
0.998837 | − | 0.0482060i | \(-0.0153504\pi\) | |||||||
\(888\) | −2.40471 | + | 0.873815i | −0.0806969 | + | 0.0293233i | ||||
\(889\) | 35.3601 | − | 21.8777i | 1.18594 | − | 0.733754i | ||||
\(890\) | 5.54057i | 0.185720i | ||||||||
\(891\) | −4.13170 | + | 4.90303i | −0.138417 | + | 0.164258i | ||||
\(892\) | 2.20811 | − | 1.27485i | 0.0739330 | − | 0.0426853i | ||||
\(893\) | −3.77962 | + | 2.18216i | −0.126480 | + | 0.0730233i | ||||
\(894\) | −28.5853 | − | 5.05583i | −0.956036 | − | 0.169092i | ||||
\(895\) | − | 8.99318i | − | 0.300609i | ||||||
\(896\) | 2.64452 | − | 0.0805913i | 0.0883473 | − | 0.00269237i | ||||
\(897\) | 1.27881 | + | 3.51925i | 0.0426982 | + | 0.117504i | ||||
\(898\) | 10.8676 | − | 18.8233i | 0.362657 | − | 0.628141i | ||||
\(899\) | 1.63072 | + | 2.82450i | 0.0543877 | + | 0.0942022i | ||||
\(900\) | 7.95349 | + | 2.90429i | 0.265116 | + | 0.0968096i | ||||
\(901\) | −14.4816 | − | 8.36098i | −0.482454 | − | 0.278545i | ||||
\(902\) | −3.37853 | −0.112493 | ||||||||
\(903\) | −5.41391 | + | 37.1813i | −0.180164 | + | 1.23732i | ||||
\(904\) | −4.53409 | −0.150802 | ||||||||
\(905\) | 23.2691 | + | 13.4344i | 0.773489 | + | 0.446574i | ||||
\(906\) | −20.1077 | − | 16.8903i | −0.668032 | − | 0.561143i | ||||
\(907\) | 11.4807 | + | 19.8851i | 0.381210 | + | 0.660274i | 0.991235 | − | 0.132107i | \(-0.0421743\pi\) |
−0.610026 | + | 0.792382i | \(0.708841\pi\) | |||||||
\(908\) | 4.12234 | − | 7.14010i | 0.136805 | − | 0.236953i | ||||
\(909\) | 20.6406 | − | 17.2827i | 0.684607 | − | 0.573230i | ||||
\(910\) | −3.43909 | − | 1.84823i | −0.114005 | − | 0.0612683i | ||||
\(911\) | 14.0418i | 0.465225i | 0.972570 | + | 0.232612i | \(0.0747274\pi\) | ||||
−0.972570 | + | 0.232612i | \(0.925273\pi\) | |||||||
\(912\) | 0.639577 | − | 3.61612i | 0.0211785 | − | 0.119742i | ||||
\(913\) | 10.3013 | − | 5.94746i | 0.340923 | − | 0.196832i | ||||
\(914\) | −7.52596 | + | 4.34511i | −0.248937 | + | 0.143724i | ||||
\(915\) | −1.85882 | + | 10.5096i | −0.0614506 | + | 0.347438i | ||||
\(916\) | − | 7.97255i | − | 0.263421i | ||||||
\(917\) | 1.13574 | + | 37.2683i | 0.0375056 | + | 1.23071i | ||||
\(918\) | −3.28219 | + | 5.66431i | −0.108329 | + | 0.186950i | ||||
\(919\) | 4.86603 | − | 8.42821i | 0.160516 | − | 0.278021i | −0.774538 | − | 0.632527i | \(-0.782018\pi\) |
0.935054 | + | 0.354506i | \(0.115351\pi\) | |||||||
\(920\) | −1.59507 | − | 2.76275i | −0.0525880 | − | 0.0910851i | ||||
\(921\) | −9.96798 | − | 8.37305i | −0.328456 | − | 0.275901i | ||||
\(922\) | 30.4115 | + | 17.5581i | 1.00155 | + | 0.578244i | ||||
\(923\) | 4.81777 | 0.158579 | ||||||||
\(924\) | 2.02271 | − | 2.56261i | 0.0665422 | − | 0.0843038i | ||||
\(925\) | 4.16918 | 0.137082 | ||||||||
\(926\) | 18.1761 | + | 10.4940i | 0.597305 | + | 0.344854i | ||||
\(927\) | 5.88301 | − | 16.1108i | 0.193224 | − | 0.529149i | ||||
\(928\) | −0.988443 | − | 1.71203i | −0.0324472 | − | 0.0562002i | ||||
\(929\) | −8.24313 | + | 14.2775i | −0.270448 | + | 0.468430i | −0.968977 | − | 0.247152i | \(-0.920505\pi\) |
0.698528 | + | 0.715582i | \(0.253839\pi\) | |||||||
\(930\) | −1.44014 | − | 3.96322i | −0.0472241 | − | 0.129959i | ||||
\(931\) | −12.3772 | + | 8.18949i | −0.405645 | + | 0.268400i | ||||
\(932\) | − | 26.2186i | − | 0.858818i | ||||||
\(933\) | 10.4957 | + | 1.85635i | 0.343614 | + | 0.0607743i | ||||
\(934\) | −29.9621 | + | 17.2987i | −0.980391 | + | 0.566029i | ||||
\(935\) | 1.14706 | − | 0.662255i | 0.0375129 | − | 0.0216581i | ||||
\(936\) | −0.517844 | − | 2.95497i | −0.0169262 | − | 0.0965862i | ||||
\(937\) | 20.8956i | 0.682629i | 0.939949 | + | 0.341315i | \(0.110872\pi\) | ||||
−0.939949 | + | 0.341315i | \(0.889128\pi\) | |||||||
\(938\) | 9.76748 | + | 15.7868i | 0.318919 | + | 0.515458i | ||||
\(939\) | −42.3332 | + | 15.3829i | −1.38149 | + | 0.502001i | ||||
\(940\) | 1.51882 | − | 2.63067i | 0.0495384 | − | 0.0858031i | ||||
\(941\) | 9.05103 | + | 15.6768i | 0.295055 | + | 0.511051i | 0.974998 | − | 0.222215i | \(-0.0713286\pi\) |
−0.679943 | + | 0.733265i | \(0.737995\pi\) | |||||||
\(942\) | 17.3465 | − | 20.6508i | 0.565180 | − | 0.672838i | ||||
\(943\) | 8.87860 | + | 5.12606i | 0.289127 | + | 0.166927i | ||||
\(944\) | −9.76184 | −0.317721 | ||||||||
\(945\) | −9.63182 | + | 17.8549i | −0.313323 | + | 0.580819i | ||||
\(946\) | 5.84125 | 0.189915 | ||||||||
\(947\) | −33.3244 | − | 19.2399i | −1.08290 | − | 0.625212i | −0.151222 | − | 0.988500i | \(-0.548321\pi\) |
−0.931677 | + | 0.363288i | \(0.881654\pi\) | |||||||
\(948\) | 2.23746 | − | 2.66366i | 0.0726692 | − | 0.0865115i | ||||
\(949\) | −0.760465 | − | 1.31716i | −0.0246857 | − | 0.0427570i | ||||
\(950\) | −2.99198 | + | 5.18226i | −0.0970726 | + | 0.168135i | ||||
\(951\) | −22.2489 | + | 8.08471i | −0.721470 | + | 0.262165i | ||||
\(952\) | 1.57796 | − | 2.93618i | 0.0511421 | − | 0.0951623i | ||||
\(953\) | 37.1230i | 1.20253i | 0.799049 | + | 0.601265i | \(0.205337\pi\) | ||||
−0.799049 | + | 0.601265i | \(0.794663\pi\) | |||||||
\(954\) | −6.87315 | − | 39.2202i | −0.222526 | − | 1.26980i | ||||
\(955\) | −10.8921 | + | 6.28856i | −0.352460 | + | 0.203493i | ||||
\(956\) | 14.0046 | − | 8.08557i | 0.452942 | − | 0.261506i | ||||
\(957\) | −2.40208 | − | 0.424852i | −0.0776484 | − | 0.0137335i | ||||
\(958\) | − | 38.9052i | − | 1.25697i | ||||||
\(959\) | −17.6166 | + | 32.7800i | −0.568870 | + | 1.05852i | ||||
\(960\) | 0.872923 | + | 2.40226i | 0.0281735 | + | 0.0775325i | ||||
\(961\) | −14.1391 | + | 24.4896i | −0.456100 | + | 0.789988i | ||||
\(962\) | −0.738591 | − | 1.27928i | −0.0238131 | − | 0.0412455i | ||||
\(963\) | 2.65897 | − | 7.28168i | 0.0856842 | − | 0.234649i | ||||
\(964\) | −11.4305 | − | 6.59939i | −0.368151 | − | 0.212552i | ||||
\(965\) | 15.4735 | 0.498109 | ||||||||
\(966\) | −9.20367 | + | 3.66546i | −0.296123 | + | 0.117934i | ||||
\(967\) | −44.8131 | −1.44109 | −0.720545 | − | 0.693408i | \(-0.756109\pi\) | ||||
−0.720545 | + | 0.693408i | \(0.756109\pi\) | |||||||
\(968\) | 9.08674 | + | 5.24623i | 0.292059 | + | 0.168620i | ||||
\(969\) | −3.54262 | − | 2.97578i | −0.113806 | − | 0.0955960i | ||||
\(970\) | −4.41944 | − | 7.65469i | −0.141900 | − | 0.245777i | ||||
\(971\) | −7.29756 | + | 12.6397i | −0.234190 | + | 0.405629i | −0.959037 | − | 0.283281i | \(-0.908577\pi\) |
0.724847 | + | 0.688910i | \(0.241910\pi\) | |||||||
\(972\) | −15.3587 | + | 2.66662i | −0.492630 | + | 0.0855319i | ||||
\(973\) | 2.13329 | + | 3.44795i | 0.0683900 | + | 0.110536i | ||||
\(974\) | 26.9840i | 0.864623i | ||||||||
\(975\) | −0.851409 | + | 4.81381i | −0.0272669 | + | 0.154165i | ||||
\(976\) | 3.61623 | − | 2.08783i | 0.115753 | − | 0.0668298i | ||||
\(977\) | 2.96708 | − | 1.71305i | 0.0949254 | − | 0.0548052i | −0.451786 | − | 0.892126i | \(-0.649213\pi\) |
0.546711 | + | 0.837321i | \(0.315880\pi\) | |||||||
\(978\) | −7.11323 | + | 40.2177i | −0.227456 | + | 1.28602i | ||||
\(979\) | − | 2.67485i | − | 0.0854885i | ||||||
\(980\) | 4.61054 | − | 9.24370i | 0.147278 | − | 0.295279i | ||||
\(981\) | 26.3425 | − | 22.0570i | 0.841053 | − | 0.704224i | ||||
\(982\) | −13.5624 | + | 23.4908i | −0.432794 | + | 0.749621i | ||||
\(983\) | −3.81097 | − | 6.60079i | −0.121551 | − | 0.210533i | 0.798828 | − | 0.601559i | \(-0.205453\pi\) |
−0.920380 | + | 0.391026i | \(0.872120\pi\) | |||||||
\(984\) | −6.28951 | − | 5.28315i | −0.200502 | − | 0.168421i | ||||
\(985\) | −35.2034 | − | 20.3247i | −1.12167 | − | 0.647598i | ||||
\(986\) | −2.49065 | −0.0793183 | ||||||||
\(987\) | −7.40447 | − | 5.84445i | −0.235687 | − | 0.186031i | ||||
\(988\) | 2.12017 | 0.0674517 | ||||||||
\(989\) | −15.3505 | − | 8.86259i | −0.488116 | − | 0.281814i | ||||
\(990\) | 2.96255 | + | 1.08180i | 0.0941561 | + | 0.0343820i | ||||
\(991\) | 14.0329 | + | 24.3057i | 0.445770 | + | 0.772096i | 0.998106 | − | 0.0615255i | \(-0.0195966\pi\) |
−0.552335 | + | 0.833622i | \(0.686263\pi\) | |||||||
\(992\) | −0.824895 | + | 1.42876i | −0.0261904 | + | 0.0453632i | ||||
\(993\) | 4.20890 | + | 11.5828i | 0.133565 | + | 0.367568i | ||||
\(994\) | 0.388270 | + | 12.7407i | 0.0123152 | + | 0.404110i | ||||
\(995\) | − | 26.6342i | − | 0.844362i | ||||||
\(996\) | 28.4773 | + | 5.03672i | 0.902337 | + | 0.159595i | ||||
\(997\) | 31.0262 | − | 17.9130i | 0.982609 | − | 0.567309i | 0.0795519 | − | 0.996831i | \(-0.474651\pi\) |
0.903057 | + | 0.429521i | \(0.141318\pi\) | |||||||
\(998\) | −36.6475 | + | 21.1584i | −1.16006 | + | 0.669759i | ||||
\(999\) | −6.65335 | + | 3.82736i | −0.210503 | + | 0.121092i |
(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 | 546.2.z.a.131.7 | ✓ | 32 | |
3.2 | odd | 2 | 546.2.z.b.131.16 | yes | 32 | ||
7.3 | odd | 6 | 546.2.z.b.521.16 | yes | 32 | ||
21.17 | even | 6 | inner | 546.2.z.a.521.7 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.z.a.131.7 | ✓ | 32 | 1.1 | even | 1 | trivial | |
546.2.z.a.521.7 | yes | 32 | 21.17 | even | 6 | inner | |
546.2.z.b.131.16 | yes | 32 | 3.2 | odd | 2 | ||
546.2.z.b.521.16 | yes | 32 | 7.3 | odd | 6 |