Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(295,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.295");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.f (of order \(3\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.100088711424.6 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 13x^{6} + 130x^{4} - 507x^{2} + 1521 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 295.4 | ||
Root | \(-1.87694 + 1.08365i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 637.295 |
Dual form | 637.2.f.h.393.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.651388 | − | 1.12824i | 0.460601 | − | 0.797784i | −0.538390 | − | 0.842696i | \(-0.680967\pi\) |
0.998991 | + | 0.0449118i | \(0.0143007\pi\) | |||||||
\(3\) | 1.44073 | − | 2.49541i | 0.831804 | − | 1.44073i | −0.0648022 | − | 0.997898i | \(-0.520642\pi\) |
0.896606 | − | 0.442829i | \(-0.146025\pi\) | |||||||
\(4\) | 0.151388 | + | 0.262211i | 0.0756939 | + | 0.131106i | ||||
\(5\) | −2.88145 | −1.28863 | −0.644313 | − | 0.764762i | \(-0.722856\pi\) | ||||
−0.644313 | + | 0.764762i | \(0.722856\pi\) | |||||||
\(6\) | −1.87694 | − | 3.25096i | −0.766259 | − | 1.32720i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 3.00000 | 1.06066 | ||||||||
\(9\) | −2.65139 | − | 4.59234i | −0.883796 | − | 1.53078i | ||||
\(10\) | −1.87694 | + | 3.25096i | −0.593542 | + | 1.02804i | ||||
\(11\) | 2.95416 | − | 5.11676i | 0.890714 | − | 1.54276i | 0.0516924 | − | 0.998663i | \(-0.483538\pi\) |
0.839021 | − | 0.544098i | \(-0.183128\pi\) | |||||||
\(12\) | 0.872434 | 0.251850 | ||||||||
\(13\) | −3.31767 | − | 1.41176i | −0.920156 | − | 0.391551i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.15139 | + | 7.19041i | −1.07188 | + | 1.85656i | ||||
\(16\) | 1.65139 | − | 2.86029i | 0.412847 | − | 0.715072i | ||||
\(17\) | −0.436217 | − | 0.755550i | −0.105798 | − | 0.183248i | 0.808266 | − | 0.588818i | \(-0.200406\pi\) |
−0.914064 | + | 0.405570i | \(0.867073\pi\) | |||||||
\(18\) | −6.90833 | −1.62831 | ||||||||
\(19\) | 1.44073 | + | 2.49541i | 0.330525 | + | 0.572487i | 0.982615 | − | 0.185655i | \(-0.0594407\pi\) |
−0.652090 | + | 0.758142i | \(0.726107\pi\) | |||||||
\(20\) | −0.436217 | − | 0.755550i | −0.0975411 | − | 0.168946i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.84861 | − | 6.66599i | −0.820527 | − | 1.42119i | ||||
\(23\) | −3.30278 | + | 5.72058i | −0.688676 | + | 1.19282i | 0.283590 | + | 0.958946i | \(0.408475\pi\) |
−0.972266 | + | 0.233877i | \(0.924859\pi\) | |||||||
\(24\) | 4.32218 | − | 7.48624i | 0.882261 | − | 1.52812i | ||||
\(25\) | 3.30278 | 0.660555 | ||||||||
\(26\) | −3.75389 | + | 2.82352i | −0.736198 | + | 0.553737i | ||||
\(27\) | −6.63534 | −1.27697 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.651388 | + | 1.12824i | −0.120960 | + | 0.209508i | −0.920146 | − | 0.391575i | \(-0.871931\pi\) |
0.799187 | + | 0.601083i | \(0.205264\pi\) | |||||||
\(30\) | 5.40833 | + | 9.36750i | 0.987421 | + | 1.71026i | ||||
\(31\) | −0.872434 | −0.156694 | −0.0783469 | − | 0.996926i | \(-0.524964\pi\) | ||||
−0.0783469 | + | 0.996926i | \(0.524964\pi\) | |||||||
\(32\) | 0.848612 | + | 1.46984i | 0.150015 | + | 0.259833i | ||||
\(33\) | −8.51229 | − | 14.7437i | −1.48180 | − | 2.56655i | ||||
\(34\) | −1.13659 | −0.194923 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.802776 | − | 1.39045i | 0.133796 | − | 0.231741i | ||||
\(37\) | −0.697224 | + | 1.20763i | −0.114623 | + | 0.198533i | −0.917629 | − | 0.397438i | \(-0.869899\pi\) |
0.803006 | + | 0.595971i | \(0.203233\pi\) | |||||||
\(38\) | 3.75389 | 0.608961 | ||||||||
\(39\) | −8.30278 | + | 6.24500i | −1.32951 | + | 1.00000i | ||||
\(40\) | −8.64436 | −1.36679 | ||||||||
\(41\) | 3.75389 | − | 6.50192i | 0.586259 | − | 1.01543i | −0.408458 | − | 0.912777i | \(-0.633934\pi\) |
0.994717 | − | 0.102653i | \(-0.0327331\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.75694 | − | 4.77516i | −0.420429 | − | 0.728205i | 0.575552 | − | 0.817765i | \(-0.304787\pi\) |
−0.995981 | + | 0.0895602i | \(0.971454\pi\) | |||||||
\(44\) | 1.78890 | 0.269686 | ||||||||
\(45\) | 7.63985 | + | 13.2326i | 1.13888 | + | 1.97260i | ||||
\(46\) | 4.30278 | + | 7.45263i | 0.634410 | + | 1.09883i | ||||
\(47\) | 12.3982 | 1.80847 | 0.904235 | − | 0.427035i | \(-0.140442\pi\) | ||||
0.904235 | + | 0.427035i | \(0.140442\pi\) | |||||||
\(48\) | −4.75840 | − | 8.24179i | −0.686816 | − | 1.18960i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.15139 | − | 3.72631i | 0.304252 | − | 0.526980i | ||||
\(51\) | −2.51388 | −0.352013 | ||||||||
\(52\) | −0.132076 | − | 1.08365i | −0.0183156 | − | 0.150276i | ||||
\(53\) | 9.60555 | 1.31942 | 0.659712 | − | 0.751519i | \(-0.270678\pi\) | ||||
0.659712 | + | 0.751519i | \(0.270678\pi\) | |||||||
\(54\) | −4.32218 | + | 7.48624i | −0.588174 | + | 1.01875i | ||||
\(55\) | −8.51229 | + | 14.7437i | −1.14780 | + | 1.98804i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 8.30278 | 1.09973 | ||||||||
\(58\) | 0.848612 | + | 1.46984i | 0.111428 | + | 0.192999i | ||||
\(59\) | 3.31767 | + | 5.74637i | 0.431924 | + | 0.748114i | 0.997039 | − | 0.0768979i | \(-0.0245016\pi\) |
−0.565115 | + | 0.825012i | \(0.691168\pi\) | |||||||
\(60\) | −2.51388 | −0.324540 | ||||||||
\(61\) | 2.88145 | + | 4.99082i | 0.368932 | + | 0.639010i | 0.989399 | − | 0.145223i | \(-0.0463901\pi\) |
−0.620467 | + | 0.784233i | \(0.713057\pi\) | |||||||
\(62\) | −0.568293 | + | 0.984312i | −0.0721733 | + | 0.125008i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.81665 | 1.10208 | ||||||||
\(65\) | 9.55971 | + | 4.06792i | 1.18574 | + | 0.504563i | ||||
\(66\) | −22.1792 | −2.73007 | ||||||||
\(67\) | −0.500000 | + | 0.866025i | −0.0610847 | + | 0.105802i | −0.894951 | − | 0.446165i | \(-0.852789\pi\) |
0.833866 | + | 0.551967i | \(0.186123\pi\) | |||||||
\(68\) | 0.132076 | − | 0.228762i | 0.0160166 | − | 0.0277415i | ||||
\(69\) | 9.51680 | + | 16.4836i | 1.14569 | + | 1.98439i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.00000 | − | 3.46410i | −0.237356 | − | 0.411113i | 0.722599 | − | 0.691268i | \(-0.242948\pi\) |
−0.959955 | + | 0.280155i | \(0.909614\pi\) | |||||||
\(72\) | −7.95416 | − | 13.7770i | −0.937407 | − | 1.62364i | ||||
\(73\) | 5.76291 | 0.674497 | 0.337249 | − | 0.941416i | \(-0.390504\pi\) | ||||
0.337249 | + | 0.941416i | \(0.390504\pi\) | |||||||
\(74\) | 0.908327 | + | 1.57327i | 0.105591 | + | 0.182889i | ||||
\(75\) | 4.75840 | − | 8.24179i | 0.549452 | − | 0.951680i | ||||
\(76\) | −0.436217 | + | 0.755550i | −0.0500375 | + | 0.0866675i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.63751 | + | 13.4354i | 0.185411 | + | 1.52126i | ||||
\(79\) | 0.605551 | 0.0681298 | 0.0340649 | − | 0.999420i | \(-0.489155\pi\) | ||||
0.0340649 | + | 0.999420i | \(0.489155\pi\) | |||||||
\(80\) | −4.75840 | + | 8.24179i | −0.532005 | + | 0.921460i | ||||
\(81\) | −1.60555 | + | 2.78090i | −0.178395 | + | 0.308988i | ||||
\(82\) | −4.89047 | − | 8.47055i | −0.540062 | − | 0.935416i | ||||
\(83\) | 6.63534 | 0.728323 | 0.364162 | − | 0.931336i | \(-0.381356\pi\) | ||||
0.364162 | + | 0.931336i | \(0.381356\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.25694 | + | 2.17708i | 0.136334 | + | 0.236138i | ||||
\(86\) | −7.18335 | −0.774600 | ||||||||
\(87\) | 1.87694 | + | 3.25096i | 0.201230 | + | 0.348540i | ||||
\(88\) | 8.86249 | − | 15.3503i | 0.944745 | − | 1.63635i | ||||
\(89\) | 4.32218 | − | 7.48624i | 0.458150 | − | 0.793539i | −0.540713 | − | 0.841207i | \(-0.681846\pi\) |
0.998863 | + | 0.0476677i | \(0.0151788\pi\) | |||||||
\(90\) | 19.9060 | 2.09828 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.00000 | −0.208514 | ||||||||
\(93\) | −1.25694 | + | 2.17708i | −0.130339 | + | 0.225753i | ||||
\(94\) | 8.07607 | − | 13.9882i | 0.832983 | − | 1.44277i | ||||
\(95\) | −4.15139 | − | 7.19041i | −0.425923 | − | 0.737721i | ||||
\(96\) | 4.89047 | 0.499132 | ||||||||
\(97\) | −3.88596 | − | 6.73069i | −0.394560 | − | 0.683398i | 0.598485 | − | 0.801134i | \(-0.295770\pi\) |
−0.993045 | + | 0.117736i | \(0.962436\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −31.3305 | −3.14884 | ||||||||
\(100\) | 0.500000 | + | 0.866025i | 0.0500000 | + | 0.0866025i | ||||
\(101\) | −4.32218 | + | 7.48624i | −0.430073 | + | 0.744908i | −0.996879 | − | 0.0789429i | \(-0.974846\pi\) |
0.566806 | + | 0.823851i | \(0.308179\pi\) | |||||||
\(102\) | −1.63751 | + | 2.83625i | −0.162138 | + | 0.280831i | ||||
\(103\) | −4.89047 | −0.481873 | −0.240936 | − | 0.970541i | \(-0.577455\pi\) | ||||
−0.240936 | + | 0.970541i | \(0.577455\pi\) | |||||||
\(104\) | −9.95301 | − | 4.23527i | −0.975973 | − | 0.415303i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.25694 | − | 10.8373i | 0.607728 | − | 1.05262i | ||||
\(107\) | −4.65139 | + | 8.05644i | −0.449667 | + | 0.778845i | −0.998364 | − | 0.0571755i | \(-0.981791\pi\) |
0.548698 | + | 0.836021i | \(0.315124\pi\) | |||||||
\(108\) | −1.00451 | − | 1.73986i | −0.0966590 | − | 0.167418i | ||||
\(109\) | −6.21110 | −0.594916 | −0.297458 | − | 0.954735i | \(-0.596139\pi\) | ||||
−0.297458 | + | 0.954735i | \(0.596139\pi\) | |||||||
\(110\) | 11.0896 | + | 19.2077i | 1.05735 | + | 1.83139i | ||||
\(111\) | 2.00902 | + | 3.47972i | 0.190688 | + | 0.330281i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.40833 | + | 12.8316i | 0.696917 | + | 1.20710i | 0.969530 | + | 0.244972i | \(0.0787786\pi\) |
−0.272613 | + | 0.962124i | \(0.587888\pi\) | |||||||
\(114\) | 5.40833 | − | 9.36750i | 0.506536 | − | 0.877346i | ||||
\(115\) | 9.51680 | − | 16.4836i | 0.887446 | − | 1.53710i | ||||
\(116\) | −0.394449 | −0.0366236 | ||||||||
\(117\) | 2.31316 | + | 18.9790i | 0.213852 | + | 1.75461i | ||||
\(118\) | 8.64436 | 0.795778 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −12.4542 | + | 21.5712i | −1.13690 | + | 1.96918i | ||||
\(121\) | −11.9542 | − | 20.7052i | −1.08674 | − | 1.88229i | ||||
\(122\) | 7.50778 | 0.679722 | ||||||||
\(123\) | −10.8167 | − | 18.7350i | −0.975305 | − | 1.68928i | ||||
\(124\) | −0.132076 | − | 0.228762i | −0.0118608 | − | 0.0205434i | ||||
\(125\) | 4.89047 | 0.437417 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.45416 | − | 2.51868i | 0.129036 | − | 0.223497i | −0.794267 | − | 0.607569i | \(-0.792145\pi\) |
0.923303 | + | 0.384071i | \(0.125478\pi\) | |||||||
\(128\) | 4.04584 | − | 7.00759i | 0.357605 | − | 0.619390i | ||||
\(129\) | −15.8880 | −1.39886 | ||||||||
\(130\) | 10.8167 | − | 8.13583i | 0.948683 | − | 0.713560i | ||||
\(131\) | −17.0246 | −1.48744 | −0.743722 | − | 0.668489i | \(-0.766941\pi\) | ||||
−0.743722 | + | 0.668489i | \(0.766941\pi\) | |||||||
\(132\) | 2.57731 | − | 4.46404i | 0.224326 | − | 0.388544i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0.651388 | + | 1.12824i | 0.0562713 | + | 0.0974648i | ||||
\(135\) | 19.1194 | 1.64554 | ||||||||
\(136\) | −1.30865 | − | 2.26665i | −0.112216 | − | 0.194364i | ||||
\(137\) | −1.34861 | − | 2.33586i | −0.115220 | − | 0.199566i | 0.802648 | − | 0.596453i | \(-0.203424\pi\) |
−0.917868 | + | 0.396887i | \(0.870091\pi\) | |||||||
\(138\) | 24.7965 | 2.11082 | ||||||||
\(139\) | 8.51229 | + | 14.7437i | 0.722003 | + | 1.25055i | 0.960196 | + | 0.279327i | \(0.0901115\pi\) |
−0.238193 | + | 0.971218i | \(0.576555\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 17.8625 | − | 30.9387i | 1.50429 | − | 2.60551i | ||||
\(142\) | −5.21110 | −0.437306 | ||||||||
\(143\) | −17.0246 | + | 12.8052i | −1.42367 | + | 1.07082i | ||||
\(144\) | −17.5139 | −1.45949 | ||||||||
\(145\) | 1.87694 | − | 3.25096i | 0.155872 | − | 0.269978i | ||||
\(146\) | 3.75389 | − | 6.50192i | 0.310674 | − | 0.538103i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.422205 | −0.0347050 | ||||||||
\(149\) | −0.256939 | − | 0.445032i | −0.0210493 | − | 0.0364584i | 0.855309 | − | 0.518118i | \(-0.173367\pi\) |
−0.876358 | + | 0.481660i | \(0.840034\pi\) | |||||||
\(150\) | −6.19912 | − | 10.7372i | −0.506156 | − | 0.876689i | ||||
\(151\) | −6.21110 | −0.505452 | −0.252726 | − | 0.967538i | \(-0.581327\pi\) | ||||
−0.252726 | + | 0.967538i | \(0.581327\pi\) | |||||||
\(152\) | 4.32218 | + | 7.48624i | 0.350575 | + | 0.607214i | ||||
\(153\) | −2.31316 | + | 4.00651i | −0.187008 | + | 0.323907i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.51388 | 0.201920 | ||||||||
\(156\) | −2.89445 | − | 1.23167i | −0.231741 | − | 0.0986122i | ||||
\(157\) | −9.51680 | −0.759523 | −0.379761 | − | 0.925084i | \(-0.623994\pi\) | ||||
−0.379761 | + | 0.925084i | \(0.623994\pi\) | |||||||
\(158\) | 0.394449 | − | 0.683205i | 0.0313807 | − | 0.0543529i | ||||
\(159\) | 13.8390 | − | 23.9698i | 1.09750 | − | 1.90093i | ||||
\(160\) | −2.44524 | − | 4.23527i | −0.193313 | − | 0.334828i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 2.09167 | + | 3.62288i | 0.164337 | + | 0.284641i | ||||
\(163\) | 8.60555 | + | 14.9053i | 0.674039 | + | 1.16747i | 0.976749 | + | 0.214387i | \(0.0687753\pi\) |
−0.302710 | + | 0.953083i | \(0.597891\pi\) | |||||||
\(164\) | 2.27317 | 0.177505 | ||||||||
\(165\) | 24.5278 | + | 42.4833i | 1.90948 | + | 3.30732i | ||||
\(166\) | 4.32218 | − | 7.48624i | 0.335466 | − | 0.581045i | ||||
\(167\) | 2.44524 | − | 4.23527i | 0.189218 | − | 0.327735i | −0.755772 | − | 0.654835i | \(-0.772738\pi\) |
0.944990 | + | 0.327100i | \(0.106071\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.01388 | + | 9.36750i | 0.693375 | + | 0.720577i | ||||
\(170\) | 3.27502 | 0.251183 | ||||||||
\(171\) | 7.63985 | − | 13.2326i | 0.584234 | − | 1.01192i | ||||
\(172\) | 0.834734 | − | 1.44580i | 0.0636479 | − | 0.110241i | ||||
\(173\) | 11.9620 | + | 20.7188i | 0.909456 | + | 1.57522i | 0.814821 | + | 0.579713i | \(0.196835\pi\) |
0.0946356 | + | 0.995512i | \(0.469831\pi\) | |||||||
\(174\) | 4.89047 | 0.370746 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −9.75694 | − | 16.8995i | −0.735457 | − | 1.27385i | ||||
\(177\) | 19.1194 | 1.43710 | ||||||||
\(178\) | −5.63083 | − | 9.75289i | −0.422049 | − | 0.731010i | ||||
\(179\) | −7.19722 | + | 12.4660i | −0.537946 | + | 0.931749i | 0.461069 | + | 0.887364i | \(0.347466\pi\) |
−0.999014 | + | 0.0443850i | \(0.985867\pi\) | |||||||
\(180\) | −2.31316 | + | 4.00651i | −0.172413 | + | 0.298628i | ||||
\(181\) | −9.25264 | −0.687744 | −0.343872 | − | 0.939017i | \(-0.611739\pi\) | ||||
−0.343872 | + | 0.939017i | \(0.611739\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 16.6056 | 1.22752 | ||||||||
\(184\) | −9.90833 | + | 17.1617i | −0.730452 | + | 1.26518i | ||||
\(185\) | 2.00902 | − | 3.47972i | 0.147706 | − | 0.255834i | ||||
\(186\) | 1.63751 | + | 2.83625i | 0.120068 | + | 0.207964i | ||||
\(187\) | −5.15463 | −0.376944 | ||||||||
\(188\) | 1.87694 | + | 3.25096i | 0.136890 | + | 0.237101i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −10.8167 | −0.784723 | ||||||||
\(191\) | −9.65139 | − | 16.7167i | −0.698350 | − | 1.20958i | −0.969038 | − | 0.246911i | \(-0.920585\pi\) |
0.270688 | − | 0.962667i | \(-0.412749\pi\) | |||||||
\(192\) | 12.7024 | − | 22.0012i | 0.916716 | − | 1.58780i | ||||
\(193\) | 0.908327 | − | 1.57327i | 0.0653828 | − | 0.113246i | −0.831481 | − | 0.555553i | \(-0.812506\pi\) |
0.896864 | + | 0.442307i | \(0.145840\pi\) | |||||||
\(194\) | −10.1251 | −0.726938 | ||||||||
\(195\) | 23.9241 | − | 17.9947i | 1.71324 | − | 1.28863i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.95416 | − | 10.3129i | 0.424217 | − | 0.734765i | −0.572130 | − | 0.820163i | \(-0.693883\pi\) |
0.996347 | + | 0.0853980i | \(0.0272162\pi\) | |||||||
\(198\) | −20.4083 | + | 35.3483i | −1.45036 | + | 2.51209i | ||||
\(199\) | 0.436217 | + | 0.755550i | 0.0309226 | + | 0.0535595i | 0.881073 | − | 0.472981i | \(-0.156822\pi\) |
−0.850150 | + | 0.526541i | \(0.823489\pi\) | |||||||
\(200\) | 9.90833 | 0.700625 | ||||||||
\(201\) | 1.44073 | + | 2.49541i | 0.101621 | + | 0.176013i | ||||
\(202\) | 5.63083 | + | 9.75289i | 0.396184 | + | 0.686211i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.380571 | − | 0.659168i | −0.0266453 | − | 0.0461510i | ||||
\(205\) | −10.8167 | + | 18.7350i | −0.755468 | + | 1.30851i | ||||
\(206\) | −3.18559 | + | 5.51761i | −0.221951 | + | 0.384430i | ||||
\(207\) | 35.0278 | 2.43460 | ||||||||
\(208\) | −9.51680 | + | 7.15813i | −0.659871 | + | 0.496327i | ||||
\(209\) | 17.0246 | 1.17761 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.50000 | + | 12.9904i | −0.516321 | + | 0.894295i | 0.483499 | + | 0.875345i | \(0.339366\pi\) |
−0.999820 | + | 0.0189499i | \(0.993968\pi\) | |||||||
\(212\) | 1.45416 | + | 2.51868i | 0.0998724 | + | 0.172984i | ||||
\(213\) | −11.5258 | −0.789736 | ||||||||
\(214\) | 6.05971 | + | 10.4957i | 0.414234 | + | 0.717474i | ||||
\(215\) | 7.94399 | + | 13.7594i | 0.541776 | + | 0.938383i | ||||
\(216\) | −19.9060 | −1.35443 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.04584 | + | 7.00759i | −0.274019 | + | 0.474614i | ||||
\(219\) | 8.30278 | − | 14.3808i | 0.561050 | − | 0.971766i | ||||
\(220\) | −5.15463 | −0.347525 | ||||||||
\(221\) | 0.380571 | + | 3.12250i | 0.0255999 | + | 0.210042i | ||||
\(222\) | 5.23460 | 0.351324 | ||||||||
\(223\) | −6.76742 | + | 11.7215i | −0.453180 | + | 0.784930i | −0.998582 | − | 0.0532444i | \(-0.983044\pi\) |
0.545402 | + | 0.838175i | \(0.316377\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.75694 | − | 15.1675i | −0.583796 | − | 1.01116i | ||||
\(226\) | 19.3028 | 1.28400 | ||||||||
\(227\) | 13.7069 | + | 23.7410i | 0.909759 | + | 1.57575i | 0.814399 | + | 0.580306i | \(0.197067\pi\) |
0.0953602 | + | 0.995443i | \(0.469600\pi\) | |||||||
\(228\) | 1.25694 | + | 2.17708i | 0.0832428 | + | 0.144181i | ||||
\(229\) | −20.7785 | −1.37308 | −0.686540 | − | 0.727092i | \(-0.740871\pi\) | ||||
−0.686540 | + | 0.727092i | \(0.740871\pi\) | |||||||
\(230\) | −12.3982 | − | 21.4744i | −0.817516 | − | 1.41598i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.95416 | + | 3.38471i | −0.128297 | + | 0.222217i | ||||
\(233\) | −23.9083 | −1.56629 | −0.783143 | − | 0.621841i | \(-0.786385\pi\) | ||||
−0.783143 | + | 0.621841i | \(0.786385\pi\) | |||||||
\(234\) | 22.9196 | + | 9.75289i | 1.49830 | + | 0.637566i | ||||
\(235\) | −35.7250 | −2.33044 | ||||||||
\(236\) | −1.00451 | + | 1.73986i | −0.0653880 | + | 0.113255i | ||||
\(237\) | 0.872434 | − | 1.51110i | 0.0566707 | − | 0.0981565i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 11.6056 | 0.750701 | 0.375350 | − | 0.926883i | \(-0.377522\pi\) | ||||
0.375350 | + | 0.926883i | \(0.377522\pi\) | |||||||
\(240\) | 13.7111 | + | 23.7483i | 0.885048 | + | 1.53295i | ||||
\(241\) | −1.00451 | − | 1.73986i | −0.0647062 | − | 0.112074i | 0.831857 | − | 0.554989i | \(-0.187278\pi\) |
−0.896564 | + | 0.442915i | \(0.853944\pi\) | |||||||
\(242\) | −31.1472 | −2.00222 | ||||||||
\(243\) | −5.32669 | − | 9.22610i | −0.341707 | − | 0.591854i | ||||
\(244\) | −0.872434 | + | 1.51110i | −0.0558519 | + | 0.0967383i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −28.1833 | −1.79690 | ||||||||
\(247\) | −1.25694 | − | 10.3129i | −0.0799771 | − | 0.656195i | ||||
\(248\) | −2.61730 | −0.166199 | ||||||||
\(249\) | 9.55971 | − | 16.5579i | 0.605822 | − | 1.04932i | ||||
\(250\) | 3.18559 | − | 5.51761i | 0.201475 | − | 0.348964i | ||||
\(251\) | −11.2617 | − | 19.5058i | −0.710830 | − | 1.23119i | −0.964546 | − | 0.263915i | \(-0.914986\pi\) |
0.253716 | − | 0.967279i | \(-0.418347\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 19.5139 | + | 33.7990i | 1.22683 | + | 2.12493i | ||||
\(254\) | −1.89445 | − | 3.28128i | −0.118868 | − | 0.205886i | ||||
\(255\) | 7.24362 | 0.453613 | ||||||||
\(256\) | 3.54584 | + | 6.14157i | 0.221615 | + | 0.383848i | ||||
\(257\) | −11.3937 | + | 19.7345i | −0.710722 | + | 1.23101i | 0.253865 | + | 0.967240i | \(0.418298\pi\) |
−0.964587 | + | 0.263767i | \(0.915035\pi\) | |||||||
\(258\) | −10.3492 | + | 17.9254i | −0.644316 | + | 1.11599i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0.380571 | + | 3.12250i | 0.0236020 | + | 0.193649i | ||||
\(261\) | 6.90833 | 0.427615 | ||||||||
\(262\) | −11.0896 | + | 19.2077i | −0.685118 | + | 1.18666i | ||||
\(263\) | 6.71110 | − | 11.6240i | 0.413824 | − | 0.716765i | −0.581480 | − | 0.813561i | \(-0.697526\pi\) |
0.995304 | + | 0.0967960i | \(0.0308594\pi\) | |||||||
\(264\) | −25.5369 | − | 44.2311i | −1.57168 | − | 2.72224i | ||||
\(265\) | −27.6780 | −1.70024 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.4542 | − | 21.5712i | −0.762182 | − | 1.32014i | ||||
\(268\) | −0.302776 | −0.0184950 | ||||||||
\(269\) | 4.75840 | + | 8.24179i | 0.290125 | + | 0.502511i | 0.973839 | − | 0.227239i | \(-0.0729699\pi\) |
−0.683714 | + | 0.729750i | \(0.739637\pi\) | |||||||
\(270\) | 12.4542 | − | 21.5712i | 0.757936 | − | 1.31278i | ||||
\(271\) | 14.8435 | − | 25.7097i | 0.901678 | − | 1.56175i | 0.0763615 | − | 0.997080i | \(-0.475670\pi\) |
0.825316 | − | 0.564671i | \(-0.190997\pi\) | |||||||
\(272\) | −2.88145 | −0.174714 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.51388 | −0.212281 | ||||||||
\(275\) | 9.75694 | − | 16.8995i | 0.588366 | − | 1.01908i | ||||
\(276\) | −2.88145 | + | 4.99082i | −0.173443 | + | 0.300412i | ||||
\(277\) | −7.10555 | − | 12.3072i | −0.426931 | − | 0.739467i | 0.569667 | − | 0.821875i | \(-0.307072\pi\) |
−0.996599 | + | 0.0824088i | \(0.973739\pi\) | |||||||
\(278\) | 22.1792 | 1.33022 | ||||||||
\(279\) | 2.31316 | + | 4.00651i | 0.138485 | + | 0.239864i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.18335 | 0.130248 | 0.0651238 | − | 0.997877i | \(-0.479256\pi\) | ||||
0.0651238 | + | 0.997877i | \(0.479256\pi\) | |||||||
\(282\) | −23.2708 | − | 40.3062i | −1.38576 | − | 2.40020i | ||||
\(283\) | 2.00902 | − | 3.47972i | 0.119424 | − | 0.206848i | −0.800116 | − | 0.599846i | \(-0.795229\pi\) |
0.919539 | + | 0.392998i | \(0.128562\pi\) | |||||||
\(284\) | 0.605551 | − | 1.04885i | 0.0359329 | − | 0.0622375i | ||||
\(285\) | −23.9241 | −1.41714 | ||||||||
\(286\) | 3.35766 | + | 27.5489i | 0.198543 | + | 1.62900i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 4.50000 | − | 7.79423i | 0.265165 | − | 0.459279i | ||||
\(289\) | 8.11943 | − | 14.0633i | 0.477613 | − | 0.827251i | ||||
\(290\) | −2.44524 | − | 4.23527i | −0.143589 | − | 0.248704i | ||||
\(291\) | −22.3944 | −1.31279 | ||||||||
\(292\) | 0.872434 | + | 1.51110i | 0.0510553 | + | 0.0884304i | ||||
\(293\) | 1.74487 | + | 3.02220i | 0.101936 | + | 0.176559i | 0.912482 | − | 0.409116i | \(-0.134163\pi\) |
−0.810546 | + | 0.585675i | \(0.800830\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.55971 | − | 16.5579i | −0.556588 | − | 0.964039i | ||||
\(296\) | −2.09167 | + | 3.62288i | −0.121576 | + | 0.210576i | ||||
\(297\) | −19.6019 | + | 33.9515i | −1.13742 | + | 1.97006i | ||||
\(298\) | −0.669468 | −0.0387812 | ||||||||
\(299\) | 19.0336 | − | 14.3163i | 1.10074 | − | 0.827931i | ||||
\(300\) | 2.88145 | 0.166361 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −4.04584 | + | 7.00759i | −0.232812 | + | 0.403242i | ||||
\(303\) | 12.4542 | + | 21.5712i | 0.715473 | + | 1.23924i | ||||
\(304\) | 9.51680 | 0.545826 | ||||||||
\(305\) | −8.30278 | − | 14.3808i | −0.475416 | − | 0.823444i | ||||
\(306\) | 3.01353 | + | 5.21959i | 0.172272 | + | 0.298384i | ||||
\(307\) | −15.2797 | −0.872059 | −0.436029 | − | 0.899932i | \(-0.643616\pi\) | ||||
−0.436029 | + | 0.899932i | \(0.643616\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.04584 | + | 12.2037i | −0.400824 | + | 0.694247i | ||||
\(310\) | 1.63751 | − | 2.83625i | 0.0930043 | − | 0.161088i | ||||
\(311\) | 17.0246 | 0.965375 | 0.482687 | − | 0.875793i | \(-0.339661\pi\) | ||||
0.482687 | + | 0.875793i | \(0.339661\pi\) | |||||||
\(312\) | −24.9083 | + | 18.7350i | −1.41016 | + | 1.06066i | ||||
\(313\) | −13.2707 | −0.750103 | −0.375052 | − | 0.927004i | \(-0.622375\pi\) | ||||
−0.375052 | + | 0.927004i | \(0.622375\pi\) | |||||||
\(314\) | −6.19912 | + | 10.7372i | −0.349837 | + | 0.605935i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.0916731 | + | 0.158782i | 0.00515701 | + | 0.00893221i | ||||
\(317\) | 8.21110 | 0.461181 | 0.230591 | − | 0.973051i | \(-0.425934\pi\) | ||||
0.230591 | + | 0.973051i | \(0.425934\pi\) | |||||||
\(318\) | −18.0291 | − | 31.2273i | −1.01102 | − | 1.75114i | ||||
\(319\) | 3.84861 | + | 6.66599i | 0.215481 | + | 0.373224i | ||||
\(320\) | −25.4048 | −1.42017 | ||||||||
\(321\) | 13.4028 | + | 23.2143i | 0.748069 | + | 1.29569i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.25694 | − | 2.17708i | 0.0699380 | − | 0.121136i | ||||
\(324\) | −0.972244 | −0.0540135 | ||||||||
\(325\) | −10.9575 | − | 4.66272i | −0.607814 | − | 0.258641i | ||||
\(326\) | 22.4222 | 1.24185 | ||||||||
\(327\) | −8.94850 | + | 15.4993i | −0.494853 | + | 0.857111i | ||||
\(328\) | 11.2617 | − | 19.5058i | 0.621821 | − | 1.07703i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 63.9083 | 3.51804 | ||||||||
\(331\) | −0.348612 | − | 0.603814i | −0.0191615 | − | 0.0331886i | 0.856286 | − | 0.516503i | \(-0.172766\pi\) |
−0.875447 | + | 0.483314i | \(0.839433\pi\) | |||||||
\(332\) | 1.00451 | + | 1.73986i | 0.0551296 | + | 0.0954873i | ||||
\(333\) | 7.39445 | 0.405213 | ||||||||
\(334\) | −3.18559 | − | 5.51761i | −0.174308 | − | 0.301910i | ||||
\(335\) | 1.44073 | − | 2.49541i | 0.0787153 | − | 0.136339i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.11943 | −0.387820 | −0.193910 | − | 0.981019i | \(-0.562117\pi\) | ||||
−0.193910 | + | 0.981019i | \(0.562117\pi\) | |||||||
\(338\) | 16.4403 | − | 4.06792i | 0.894234 | − | 0.221265i | ||||
\(339\) | 42.6935 | 2.31879 | ||||||||
\(340\) | −0.380571 | + | 0.659168i | −0.0206393 | + | 0.0357484i | ||||
\(341\) | −2.57731 | + | 4.46404i | −0.139569 | + | 0.241741i | ||||
\(342\) | −9.95301 | − | 17.2391i | −0.538197 | − | 0.932185i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −8.27082 | − | 14.3255i | −0.445933 | − | 0.772378i | ||||
\(345\) | −27.4222 | − | 47.4967i | −1.47636 | − | 2.55713i | ||||
\(346\) | 31.1677 | 1.67559 | ||||||||
\(347\) | −0.394449 | − | 0.683205i | −0.0211751 | − | 0.0366764i | 0.855244 | − | 0.518226i | \(-0.173407\pi\) |
−0.876419 | + | 0.481550i | \(0.840074\pi\) | |||||||
\(348\) | −0.568293 | + | 0.984312i | −0.0304637 | + | 0.0527647i | ||||
\(349\) | 11.9620 | − | 20.7188i | 0.640313 | − | 1.10905i | −0.345050 | − | 0.938584i | \(-0.612138\pi\) |
0.985363 | − | 0.170470i | \(-0.0545286\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 22.0139 | + | 9.36750i | 1.17501 | + | 0.500000i | ||||
\(352\) | 10.0278 | 0.534481 | ||||||||
\(353\) | 3.18559 | − | 5.51761i | 0.169552 | − | 0.293673i | −0.768710 | − | 0.639597i | \(-0.779101\pi\) |
0.938262 | + | 0.345924i | \(0.112435\pi\) | |||||||
\(354\) | 12.4542 | − | 21.5712i | 0.661931 | − | 1.14650i | ||||
\(355\) | 5.76291 | + | 9.98165i | 0.305863 | + | 0.529771i | ||||
\(356\) | 2.61730 | 0.138717 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.37637 | + | 16.2403i | 0.495556 | + | 0.858329i | ||||
\(359\) | −22.9083 | −1.20906 | −0.604528 | − | 0.796584i | \(-0.706638\pi\) | ||||
−0.604528 | + | 0.796584i | \(0.706638\pi\) | |||||||
\(360\) | 22.9196 | + | 39.6978i | 1.20797 | + | 2.09226i | ||||
\(361\) | 5.34861 | − | 9.26407i | 0.281506 | − | 0.487583i | ||||
\(362\) | −6.02706 | + | 10.4392i | −0.316775 | + | 0.548671i | ||||
\(363\) | −68.8907 | −3.61583 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −16.6056 | −0.869174 | ||||||||
\(366\) | 10.8167 | − | 18.7350i | 0.565396 | − | 0.979294i | ||||
\(367\) | −14.1431 | + | 24.4966i | −0.738265 | + | 1.27871i | 0.215011 | + | 0.976612i | \(0.431021\pi\) |
−0.953276 | + | 0.302100i | \(0.902312\pi\) | |||||||
\(368\) | 10.9083 | + | 18.8938i | 0.568636 | + | 0.984906i | ||||
\(369\) | −39.8120 | −2.07253 | ||||||||
\(370\) | −2.61730 | − | 4.53330i | −0.136067 | − | 0.235675i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −0.761141 | −0.0394633 | ||||||||
\(373\) | 8.15139 | + | 14.1186i | 0.422063 | + | 0.731034i | 0.996141 | − | 0.0877661i | \(-0.0279728\pi\) |
−0.574078 | + | 0.818800i | \(0.694639\pi\) | |||||||
\(374\) | −3.35766 | + | 5.81564i | −0.173620 | + | 0.300719i | ||||
\(375\) | 7.04584 | − | 12.2037i | 0.363845 | − | 0.630199i | ||||
\(376\) | 37.1947 | 1.91817 | ||||||||
\(377\) | 3.75389 | − | 2.82352i | 0.193335 | − | 0.145418i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.55971 | + | 11.3618i | −0.336950 | + | 0.583614i | −0.983857 | − | 0.178954i | \(-0.942729\pi\) |
0.646908 | + | 0.762568i | \(0.276062\pi\) | |||||||
\(380\) | 1.25694 | − | 2.17708i | 0.0644796 | − | 0.111682i | ||||
\(381\) | −4.19010 | − | 7.25747i | −0.214666 | − | 0.371812i | ||||
\(382\) | −25.1472 | −1.28664 | ||||||||
\(383\) | −9.64887 | − | 16.7123i | −0.493034 | − | 0.853960i | 0.506934 | − | 0.861985i | \(-0.330779\pi\) |
−0.999968 | + | 0.00802473i | \(0.997446\pi\) | |||||||
\(384\) | −11.6579 | − | 20.1921i | −0.594914 | − | 1.03042i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.18335 | − | 2.04962i | −0.0602307 | − | 0.104323i | ||||
\(387\) | −14.6194 | + | 25.3216i | −0.743147 | + | 1.28717i | ||||
\(388\) | 1.17658 | − | 2.03789i | 0.0597316 | − | 0.103458i | ||||
\(389\) | −7.02776 | −0.356321 | −0.178161 | − | 0.984001i | \(-0.557015\pi\) | ||||
−0.178161 | + | 0.984001i | \(0.557015\pi\) | |||||||
\(390\) | −4.71841 | − | 38.7135i | −0.238926 | − | 1.96034i | ||||
\(391\) | 5.76291 | 0.291443 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −24.5278 | + | 42.4833i | −1.23726 | + | 2.14300i | ||||
\(394\) | −7.75694 | − | 13.4354i | −0.390789 | − | 0.676866i | ||||
\(395\) | −1.74487 | −0.0877938 | ||||||||
\(396\) | −4.74306 | − | 8.21522i | −0.238348 | − | 0.412830i | ||||
\(397\) | 2.88145 | + | 4.99082i | 0.144616 | + | 0.250482i | 0.929230 | − | 0.369503i | \(-0.120472\pi\) |
−0.784614 | + | 0.619985i | \(0.787139\pi\) | |||||||
\(398\) | 1.13659 | 0.0569719 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 5.45416 | − | 9.44689i | 0.272708 | − | 0.472344i | ||||
\(401\) | −7.55971 | + | 13.0938i | −0.377514 | + | 0.653874i | −0.990700 | − | 0.136065i | \(-0.956554\pi\) |
0.613186 | + | 0.789939i | \(0.289888\pi\) | |||||||
\(402\) | 3.75389 | 0.187227 | ||||||||
\(403\) | 2.89445 | + | 1.23167i | 0.144183 | + | 0.0613536i | ||||
\(404\) | −2.61730 | −0.130216 | ||||||||
\(405\) | 4.62632 | − | 8.01302i | 0.229884 | − | 0.398170i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.11943 | + | 7.13506i | 0.204193 | + | 0.353672i | ||||
\(408\) | −7.54163 | −0.373367 | ||||||||
\(409\) | −8.07607 | − | 13.9882i | −0.399336 | − | 0.691670i | 0.594308 | − | 0.804237i | \(-0.297426\pi\) |
−0.993644 | + | 0.112567i | \(0.964093\pi\) | |||||||
\(410\) | 14.0917 | + | 24.4075i | 0.695938 | + | 1.20540i | ||||
\(411\) | −7.77193 | −0.383361 | ||||||||
\(412\) | −0.740358 | − | 1.28234i | −0.0364748 | − | 0.0631763i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 22.8167 | − | 39.5196i | 1.12138 | − | 1.94228i | ||||
\(415\) | −19.1194 | −0.938536 | ||||||||
\(416\) | −0.740358 | − | 6.07448i | −0.0362990 | − | 0.297826i | ||||
\(417\) | 49.0555 | 2.40226 | ||||||||
\(418\) | 11.0896 | − | 19.2077i | 0.542410 | − | 0.939482i | ||||
\(419\) | 4.19010 | − | 7.25747i | 0.204700 | − | 0.354551i | −0.745337 | − | 0.666688i | \(-0.767711\pi\) |
0.950037 | + | 0.312137i | \(0.101045\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −31.0278 | −1.51220 | −0.756100 | − | 0.654456i | \(-0.772898\pi\) | ||||
−0.756100 | + | 0.654456i | \(0.772898\pi\) | |||||||
\(422\) | 9.77082 | + | 16.9236i | 0.475636 | + | 0.823826i | ||||
\(423\) | −32.8726 | − | 56.9370i | −1.59832 | − | 2.76837i | ||||
\(424\) | 28.8167 | 1.39946 | ||||||||
\(425\) | −1.44073 | − | 2.49541i | −0.0698855 | − | 0.121045i | ||||
\(426\) | −7.50778 | + | 13.0038i | −0.363753 | + | 0.630039i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −2.81665 | −0.136148 | ||||||||
\(429\) | 7.42641 | + | 60.9321i | 0.358550 | + | 2.94183i | ||||
\(430\) | 20.6985 | 0.998169 | ||||||||
\(431\) | −12.9680 | + | 22.4613i | −0.624649 | + | 1.08192i | 0.363960 | + | 0.931415i | \(0.381424\pi\) |
−0.988609 | + | 0.150509i | \(0.951909\pi\) | |||||||
\(432\) | −10.9575 | + | 18.9790i | −0.527194 | + | 0.913127i | ||||
\(433\) | −4.19010 | − | 7.25747i | −0.201364 | − | 0.348772i | 0.747604 | − | 0.664144i | \(-0.231204\pi\) |
−0.948968 | + | 0.315372i | \(0.897871\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.40833 | − | 9.36750i | −0.259309 | − | 0.449137i | ||||
\(436\) | −0.940285 | − | 1.62862i | −0.0450315 | − | 0.0779968i | ||||
\(437\) | −19.0336 | −0.910500 | ||||||||
\(438\) | −10.8167 | − | 18.7350i | −0.516840 | − | 0.895193i | ||||
\(439\) | −7.63985 | + | 13.2326i | −0.364630 | + | 0.631558i | −0.988717 | − | 0.149797i | \(-0.952138\pi\) |
0.624087 | + | 0.781355i | \(0.285471\pi\) | |||||||
\(440\) | −25.5369 | + | 44.2311i | −1.21742 | + | 2.10864i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.77082 | + | 1.60458i | 0.179359 | + | 0.0763223i | ||||
\(443\) | 30.2389 | 1.43669 | 0.718346 | − | 0.695686i | \(-0.244900\pi\) | ||||
0.718346 | + | 0.695686i | \(0.244900\pi\) | |||||||
\(444\) | −0.608282 | + | 1.05358i | −0.0288678 | + | 0.0500005i | ||||
\(445\) | −12.4542 | + | 21.5712i | −0.590384 | + | 1.02258i | ||||
\(446\) | 8.81643 | + | 15.2705i | 0.417470 | + | 0.723079i | ||||
\(447\) | −1.48072 | −0.0700355 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −4.21110 | − | 7.29384i | −0.198734 | − | 0.344218i | 0.749384 | − | 0.662136i | \(-0.230350\pi\) |
−0.948118 | + | 0.317918i | \(0.897016\pi\) | |||||||
\(450\) | −22.8167 | −1.07559 | ||||||||
\(451\) | −22.1792 | − | 38.4155i | −1.04438 | − | 1.80891i | ||||
\(452\) | −2.24306 | + | 3.88510i | −0.105505 | + | 0.182740i | ||||
\(453\) | −8.94850 | + | 15.4993i | −0.420437 | + | 0.728219i | ||||
\(454\) | 35.7140 | 1.67614 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 24.9083 | 1.16644 | ||||||||
\(457\) | −6.69722 | + | 11.5999i | −0.313283 | + | 0.542622i | −0.979071 | − | 0.203519i | \(-0.934762\pi\) |
0.665788 | + | 0.746141i | \(0.268095\pi\) | |||||||
\(458\) | −13.5348 | + | 23.4430i | −0.632441 | + | 1.09542i | ||||
\(459\) | 2.89445 | + | 5.01333i | 0.135101 | + | 0.234002i | ||||
\(460\) | 5.76291 | 0.268697 | ||||||||
\(461\) | −6.33120 | − | 10.9660i | −0.294873 | − | 0.510736i | 0.680082 | − | 0.733136i | \(-0.261944\pi\) |
−0.974955 | + | 0.222400i | \(0.928611\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −28.2111 | −1.31108 | −0.655541 | − | 0.755160i | \(-0.727559\pi\) | ||||
−0.655541 | + | 0.755160i | \(0.727559\pi\) | |||||||
\(464\) | 2.15139 | + | 3.72631i | 0.0998757 | + | 0.172990i | ||||
\(465\) | 3.62181 | − | 6.27316i | 0.167958 | − | 0.290911i | ||||
\(466\) | −15.5736 | + | 26.9743i | −0.721433 | + | 1.24956i | ||||
\(467\) | 14.1431 | 0.654465 | 0.327233 | − | 0.944944i | \(-0.393884\pi\) | ||||
0.327233 | + | 0.944944i | \(0.393884\pi\) | |||||||
\(468\) | −4.62632 | + | 3.47972i | −0.213852 | + | 0.160850i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −23.2708 | + | 40.3062i | −1.07340 | + | 1.85919i | ||||
\(471\) | −13.7111 | + | 23.7483i | −0.631774 | + | 1.09427i | ||||
\(472\) | 9.95301 | + | 17.2391i | 0.458125 | + | 0.793495i | ||||
\(473\) | −32.5778 | −1.49793 | ||||||||
\(474\) | −1.13659 | − | 1.96862i | −0.0522051 | − | 0.0904219i | ||||
\(475\) | 4.75840 | + | 8.24179i | 0.218330 | + | 0.378159i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −25.4680 | − | 44.1119i | −1.16610 | − | 2.01975i | ||||
\(478\) | 7.55971 | − | 13.0938i | 0.345773 | − | 0.598897i | ||||
\(479\) | −0.568293 | + | 0.984312i | −0.0259660 | + | 0.0449744i | −0.878716 | − | 0.477344i | \(-0.841599\pi\) |
0.852750 | + | 0.522319i | \(0.174933\pi\) | |||||||
\(480\) | −14.0917 | −0.643194 | ||||||||
\(481\) | 4.01804 | − | 3.02220i | 0.183207 | − | 0.137800i | ||||
\(482\) | −2.61730 | −0.119215 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.61943 | − | 6.26904i | 0.164520 | − | 0.284956i | ||||
\(485\) | 11.1972 | + | 19.3942i | 0.508440 | + | 0.880644i | ||||
\(486\) | −13.8790 | −0.629563 | ||||||||
\(487\) | 13.8486 | + | 23.9865i | 0.627541 | + | 1.08693i | 0.988044 | + | 0.154174i | \(0.0492717\pi\) |
−0.360503 | + | 0.932758i | \(0.617395\pi\) | |||||||
\(488\) | 8.64436 | + | 14.9725i | 0.391312 | + | 0.677772i | ||||
\(489\) | 49.5930 | 2.24267 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.36249 | − | 11.0202i | 0.287135 | − | 0.497333i | −0.685990 | − | 0.727611i | \(-0.740630\pi\) |
0.973125 | + | 0.230279i | \(0.0739638\pi\) | |||||||
\(492\) | 3.27502 | − | 5.67250i | 0.147649 | − | 0.255736i | ||||
\(493\) | 1.13659 | 0.0511892 | ||||||||
\(494\) | −12.4542 | − | 5.29958i | −0.560339 | − | 0.238439i | ||||
\(495\) | 90.2775 | 4.05767 | ||||||||
\(496\) | −1.44073 | + | 2.49541i | −0.0646905 | + | 0.112047i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −12.4542 | − | 21.5712i | −0.558084 | − | 0.966631i | ||||
\(499\) | 31.3305 | 1.40255 | 0.701274 | − | 0.712892i | \(-0.252615\pi\) | ||||
0.701274 | + | 0.712892i | \(0.252615\pi\) | |||||||
\(500\) | 0.740358 | + | 1.28234i | 0.0331098 | + | 0.0573479i | ||||
\(501\) | −7.04584 | − | 12.2037i | −0.314785 | − | 0.545223i | ||||
\(502\) | −29.3428 | −1.30964 | ||||||||
\(503\) | −12.9665 | − | 22.4587i | −0.578150 | − | 1.00138i | −0.995692 | − | 0.0927268i | \(-0.970442\pi\) |
0.417542 | − | 0.908658i | \(-0.362892\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.4542 | − | 21.5712i | 0.554203 | − | 0.959908i | ||||
\(506\) | 50.8444 | 2.26031 | ||||||||
\(507\) | 36.3623 | − | 8.99734i | 1.61491 | − | 0.399586i | ||||
\(508\) | 0.880571 | 0.0390690 | ||||||||
\(509\) | −1.30865 | + | 2.26665i | −0.0580049 | + | 0.100467i | −0.893570 | − | 0.448924i | \(-0.851807\pi\) |
0.835565 | + | 0.549392i | \(0.185141\pi\) | |||||||
\(510\) | 4.71841 | − | 8.17252i | 0.208935 | − | 0.361885i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 25.4222 | 1.12351 | ||||||||
\(513\) | −9.55971 | − | 16.5579i | −0.422072 | − | 0.731050i | ||||
\(514\) | 14.8435 | + | 25.7097i | 0.654718 | + | 1.13400i | ||||
\(515\) | 14.0917 | 0.620953 | ||||||||
\(516\) | −2.40525 | − | 4.16601i | −0.105885 | − | 0.183398i | ||||
\(517\) | 36.6265 | − | 63.4389i | 1.61083 | − | 2.79004i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 68.9361 | 3.02596 | ||||||||
\(520\) | 28.6791 | + | 12.2037i | 1.25766 | + | 0.535170i | ||||
\(521\) | 28.8145 | 1.26239 | 0.631194 | − | 0.775625i | \(-0.282565\pi\) | ||||
0.631194 | + | 0.775625i | \(0.282565\pi\) | |||||||
\(522\) | 4.50000 | − | 7.79423i | 0.196960 | − | 0.341144i | ||||
\(523\) | −4.62632 | + | 8.01302i | −0.202295 | + | 0.350385i | −0.949267 | − | 0.314470i | \(-0.898173\pi\) |
0.746973 | + | 0.664855i | \(0.231507\pi\) | |||||||
\(524\) | −2.57731 | − | 4.46404i | −0.112590 | − | 0.195012i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.74306 | − | 15.1434i | −0.381216 | − | 0.660285i | ||||
\(527\) | 0.380571 | + | 0.659168i | 0.0165779 | + | 0.0287138i | ||||
\(528\) | −56.2283 | −2.44702 | ||||||||
\(529\) | −10.3167 | − | 17.8690i | −0.448550 | − | 0.776912i | ||||
\(530\) | −18.0291 | + | 31.2273i | −0.783133 | + | 1.35643i | ||||
\(531\) | 17.5929 | − | 30.4717i | 0.763465 | − | 1.32236i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −21.6333 | + | 16.2717i | −0.937043 | + | 0.704804i | ||||
\(534\) | −32.4500 | −1.40425 | ||||||||
\(535\) | 13.4028 | − | 23.2143i | 0.579452 | − | 1.00364i | ||||
\(536\) | −1.50000 | + | 2.59808i | −0.0647901 | + | 0.112220i | ||||
\(537\) | 20.7385 | + | 35.9201i | 0.894931 | + | 1.55007i | ||||
\(538\) | 12.3982 | 0.534526 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 2.89445 | + | 5.01333i | 0.124557 | + | 0.215739i | ||||
\(541\) | −18.9361 | −0.814126 | −0.407063 | − | 0.913400i | \(-0.633447\pi\) | ||||
−0.407063 | + | 0.913400i | \(0.633447\pi\) | |||||||
\(542\) | −19.3377 | − | 33.4939i | −0.830627 | − | 1.43869i | ||||
\(543\) | −13.3305 | + | 23.0892i | −0.572068 | + | 0.990851i | ||||
\(544\) | 0.740358 | − | 1.28234i | 0.0317426 | − | 0.0549798i | ||||
\(545\) | 17.8970 | 0.766623 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 29.0000 | 1.23995 | 0.619975 | − | 0.784621i | \(-0.287143\pi\) | ||||
0.619975 | + | 0.784621i | \(0.287143\pi\) | |||||||
\(548\) | 0.408327 | − | 0.707243i | 0.0174429 | − | 0.0302119i | ||||
\(549\) | 15.2797 | − | 26.4652i | 0.652122 | − | 1.12951i | ||||
\(550\) | −12.7111 | − | 22.0163i | −0.542003 | − | 0.938777i | ||||
\(551\) | −3.75389 | −0.159921 | ||||||||
\(552\) | 28.5504 | + | 49.4507i | 1.21519 | + | 2.10476i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −18.5139 | −0.786579 | ||||||||
\(555\) | −5.78890 | − | 10.0267i | −0.245725 | − | 0.425608i | ||||
\(556\) | −2.57731 | + | 4.46404i | −0.109302 | + | 0.189317i | ||||
\(557\) | −8.45416 | + | 14.6430i | −0.358214 | + | 0.620446i | −0.987663 | − | 0.156597i | \(-0.949948\pi\) |
0.629448 | + | 0.777042i | \(0.283281\pi\) | |||||||
\(558\) | 6.02706 | 0.255146 | ||||||||
\(559\) | 2.40525 | + | 19.7345i | 0.101731 | + | 0.834682i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.42641 | + | 12.8629i | −0.313543 | + | 0.543073i | ||||
\(562\) | 1.42221 | − | 2.46333i | 0.0599921 | − | 0.103909i | ||||
\(563\) | −9.51680 | − | 16.4836i | −0.401085 | − | 0.694700i | 0.592772 | − | 0.805370i | \(-0.298034\pi\) |
−0.993857 | + | 0.110671i | \(0.964700\pi\) | |||||||
\(564\) | 10.8167 | 0.455463 | ||||||||
\(565\) | −21.3468 | − | 36.9737i | −0.898065 | − | 1.55549i | ||||
\(566\) | −2.61730 | − | 4.53330i | −0.110013 | − | 0.190549i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.00000 | − | 10.3923i | −0.251754 | − | 0.436051i | ||||
\(569\) | 13.6972 | − | 23.7243i | 0.574218 | − | 0.994574i | −0.421909 | − | 0.906638i | \(-0.638640\pi\) |
0.996126 | − | 0.0879356i | \(-0.0280270\pi\) | |||||||
\(570\) | −15.5838 | + | 26.9920i | −0.652735 | + | 1.13057i | ||||
\(571\) | 21.7250 | 0.909162 | 0.454581 | − | 0.890705i | \(-0.349789\pi\) | ||||
0.454581 | + | 0.890705i | \(0.349789\pi\) | |||||||
\(572\) | −5.93497 | − | 2.52549i | −0.248154 | − | 0.105596i | ||||
\(573\) | −55.6201 | −2.32356 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −10.9083 | + | 18.8938i | −0.454909 | + | 0.787925i | ||||
\(576\) | −23.3764 | − | 40.4891i | −0.974015 | − | 1.68704i | ||||
\(577\) | −33.7050 | −1.40316 | −0.701579 | − | 0.712592i | \(-0.747521\pi\) | ||||
−0.701579 | + | 0.712592i | \(0.747521\pi\) | |||||||
\(578\) | −10.5778 | − | 18.3213i | −0.439978 | − | 0.762065i | ||||
\(579\) | −2.61730 | − | 4.53330i | −0.108771 | − | 0.188398i | ||||
\(580\) | 1.13659 | 0.0471942 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −14.5875 | + | 25.2662i | −0.604670 | + | 1.04732i | ||||
\(583\) | 28.3764 | − | 49.1493i | 1.17523 | − | 2.03556i | ||||
\(584\) | 17.2887 | 0.715412 | ||||||||
\(585\) | −6.66527 | − | 54.6871i | −0.275575 | − | 2.26103i | ||||
\(586\) | 4.54634 | 0.187808 | ||||||||
\(587\) | −14.2752 | + | 24.7254i | −0.589200 | + | 1.02052i | 0.405137 | + | 0.914256i | \(0.367224\pi\) |
−0.994337 | + | 0.106269i | \(0.966110\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.25694 | − | 2.17708i | −0.0517913 | − | 0.0897051i | ||||
\(590\) | −24.9083 | −1.02546 | ||||||||
\(591\) | −17.1566 | − | 29.7162i | −0.705730 | − | 1.22236i | ||||
\(592\) | 2.30278 | + | 3.98852i | 0.0946435 | + | 0.163927i | ||||
\(593\) | 22.7875 | 0.935770 | 0.467885 | − | 0.883789i | \(-0.345016\pi\) | ||||
0.467885 | + | 0.883789i | \(0.345016\pi\) | |||||||
\(594\) | 25.5369 | + | 44.2311i | 1.04779 | + | 1.81483i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0.0777949 | − | 0.134745i | 0.00318660 | − | 0.00551936i | ||||
\(597\) | 2.51388 | 0.102886 | ||||||||
\(598\) | −3.75389 | − | 30.7998i | −0.153508 | − | 1.25950i | ||||
\(599\) | 7.51388 | 0.307009 | 0.153504 | − | 0.988148i | \(-0.450944\pi\) | ||||
0.153504 | + | 0.988148i | \(0.450944\pi\) | |||||||
\(600\) | 14.2752 | − | 24.7254i | 0.582782 | − | 1.00941i | ||||
\(601\) | −14.7114 | + | 25.4809i | −0.600091 | + | 1.03939i | 0.392716 | + | 0.919660i | \(0.371536\pi\) |
−0.992807 | + | 0.119728i | \(0.961798\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5.30278 | 0.215946 | ||||||||
\(604\) | −0.940285 | − | 1.62862i | −0.0382597 | − | 0.0662677i | ||||
\(605\) | 34.4454 | + | 59.6611i | 1.40040 | + | 2.42557i | ||||
\(606\) | 32.4500 | 1.31819 | ||||||||
\(607\) | 10.2172 | + | 17.6966i | 0.414702 | + | 0.718285i | 0.995397 | − | 0.0958363i | \(-0.0305525\pi\) |
−0.580695 | + | 0.814121i | \(0.697219\pi\) | |||||||
\(608\) | −2.44524 | + | 4.23527i | −0.0991674 | + | 0.171763i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −21.6333 | −0.875907 | ||||||||
\(611\) | −41.1333 | − | 17.5033i | −1.66408 | − | 0.708109i | ||||
\(612\) | −1.40074 | −0.0566215 | ||||||||
\(613\) | −10.5458 | + | 18.2659i | −0.425942 | + | 0.737754i | −0.996508 | − | 0.0834983i | \(-0.973391\pi\) |
0.570566 | + | 0.821252i | \(0.306724\pi\) | |||||||
\(614\) | −9.95301 | + | 17.2391i | −0.401671 | + | 0.695714i | ||||
\(615\) | 31.1677 | + | 53.9840i | 1.25680 | + | 2.17685i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 20.9222 | + | 36.2383i | 0.842296 | + | 1.45890i | 0.887949 | + | 0.459943i | \(0.152130\pi\) |
−0.0456524 | + | 0.998957i | \(0.514537\pi\) | |||||||
\(618\) | 9.17914 | + | 15.8987i | 0.369239 | + | 0.639541i | ||||
\(619\) | −22.5233 | −0.905289 | −0.452644 | − | 0.891691i | \(-0.649519\pi\) | ||||
−0.452644 | + | 0.891691i | \(0.649519\pi\) | |||||||
\(620\) | 0.380571 | + | 0.659168i | 0.0152841 | + | 0.0264728i | ||||
\(621\) | 21.9150 | − | 37.9580i | 0.879420 | − | 1.52320i | ||||
\(622\) | 11.0896 | − | 19.2077i | 0.444652 | − | 0.770160i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4.15139 | + | 34.0612i | 0.166189 | + | 1.36354i | ||||
\(625\) | −30.6056 | −1.22422 | ||||||||
\(626\) | −8.64436 | + | 14.9725i | −0.345498 | + | 0.598420i | ||||
\(627\) | 24.5278 | − | 42.4833i | 0.979544 | − | 1.69662i | ||||
\(628\) | −1.44073 | − | 2.49541i | −0.0574913 | − | 0.0995778i | ||||
\(629\) | 1.21656 | 0.0485076 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.04584 | − | 10.4717i | −0.240681 | − | 0.416872i | 0.720227 | − | 0.693738i | \(-0.244037\pi\) |
−0.960908 | + | 0.276866i | \(0.910704\pi\) | |||||||
\(632\) | 1.81665 | 0.0722626 | ||||||||
\(633\) | 21.6109 | + | 37.4312i | 0.858956 | + | 1.48776i | ||||
\(634\) | 5.34861 | − | 9.26407i | 0.212421 | − | 0.367923i | ||||
\(635\) | −4.19010 | + | 7.25747i | −0.166279 | + | 0.288004i | ||||
\(636\) | 8.38021 | 0.332297 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 10.0278 | 0.397003 | ||||||||
\(639\) | −10.6056 | + | 18.3694i | −0.419549 | + | 0.726680i | ||||
\(640\) | −11.6579 | + | 20.1921i | −0.460819 | + | 0.798161i | ||||
\(641\) | −1.75694 | − | 3.04311i | −0.0693949 | − | 0.120196i | 0.829240 | − | 0.558892i | \(-0.188774\pi\) |
−0.898635 | + | 0.438697i | \(0.855440\pi\) | |||||||
\(642\) | 34.9216 | 1.37824 | ||||||||
\(643\) | −4.19010 | − | 7.25747i | −0.165242 | − | 0.286207i | 0.771499 | − | 0.636230i | \(-0.219507\pi\) |
−0.936741 | + | 0.350023i | \(0.886174\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 45.7805 | 1.80261 | ||||||||
\(646\) | −1.63751 | − | 2.83625i | −0.0644270 | − | 0.111591i | ||||
\(647\) | −1.13659 | + | 1.96862i | −0.0446838 | + | 0.0773946i | −0.887502 | − | 0.460803i | \(-0.847561\pi\) |
0.842819 | + | 0.538198i | \(0.180895\pi\) | |||||||
\(648\) | −4.81665 | + | 8.34269i | −0.189216 | + | 0.327732i | ||||
\(649\) | 39.2038 | 1.53888 | ||||||||
\(650\) | −12.3982 | + | 9.32544i | −0.486299 | + | 0.365774i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.60555 | + | 4.51295i | −0.102041 | + | 0.176741i | ||||
\(653\) | −10.8764 | + | 18.8384i | −0.425625 | + | 0.737204i | −0.996479 | − | 0.0838475i | \(-0.973279\pi\) |
0.570853 | + | 0.821052i | \(0.306612\pi\) | |||||||
\(654\) | 11.6579 | + | 20.1921i | 0.455860 | + | 0.789572i | ||||
\(655\) | 49.0555 | 1.91676 | ||||||||
\(656\) | −12.3982 | − | 21.4744i | −0.484070 | − | 0.838434i | ||||
\(657\) | −15.2797 | − | 26.4652i | −0.596118 | − | 1.03251i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −11.8167 | − | 20.4670i | −0.460311 | − | 0.797283i | 0.538665 | − | 0.842520i | \(-0.318929\pi\) |
−0.998976 | + | 0.0452373i | \(0.985596\pi\) | |||||||
\(660\) | −7.42641 | + | 12.8629i | −0.289073 | + | 0.500688i | ||||
\(661\) | −4.89047 | + | 8.47055i | −0.190217 | + | 0.329466i | −0.945322 | − | 0.326138i | \(-0.894253\pi\) |
0.755105 | + | 0.655604i | \(0.227586\pi\) | |||||||
\(662\) | −0.908327 | −0.0353031 | ||||||||
\(663\) | 8.34022 | + | 3.54899i | 0.323907 | + | 0.137831i | ||||
\(664\) | 19.9060 | 0.772504 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.81665 | − | 8.34269i | 0.186642 | − | 0.323273i | ||||
\(667\) | −4.30278 | − | 7.45263i | −0.166604 | − | 0.288567i | ||||
\(668\) | 1.48072 | 0.0572906 | ||||||||
\(669\) | 19.5000 | + | 33.7750i | 0.753914 | + | 1.30582i | ||||
\(670\) | −1.87694 | − | 3.25096i | −0.0725127 | − | 0.125596i | ||||
\(671\) | 34.0491 | 1.31445 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.10555 | + | 10.5751i | −0.235352 | + | 0.407641i | −0.959375 | − | 0.282135i | \(-0.908958\pi\) |
0.724023 | + | 0.689776i | \(0.242291\pi\) | |||||||
\(674\) | −4.63751 | + | 8.03240i | −0.178630 | + | 0.309397i | ||||
\(675\) | −21.9150 | −0.843510 | ||||||||
\(676\) | −1.09167 | + | 3.78167i | −0.0419874 | + | 0.145449i | ||||
\(677\) | −6.37119 | −0.244865 | −0.122432 | − | 0.992477i | \(-0.539069\pi\) | ||||
−0.122432 | + | 0.992477i | \(0.539069\pi\) | |||||||
\(678\) | 27.8100 | − | 48.1684i | 1.06804 | − | 1.84990i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 3.77082 | + | 6.53125i | 0.144604 | + | 0.250462i | ||||
\(681\) | 78.9916 | 3.02696 | ||||||||
\(682\) | 3.35766 | + | 5.81564i | 0.128571 | + | 0.222692i | ||||
\(683\) | −1.80278 | − | 3.12250i | −0.0689813 | − | 0.119479i | 0.829472 | − | 0.558549i | \(-0.188642\pi\) |
−0.898453 | + | 0.439069i | \(0.855308\pi\) | |||||||
\(684\) | 4.62632 | 0.176892 | ||||||||
\(685\) | 3.88596 | + | 6.73069i | 0.148475 | + | 0.257166i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −29.9361 | + | 51.8508i | −1.14213 | + | 1.97823i | ||||
\(688\) | −18.2111 | −0.694292 | ||||||||
\(689\) | −31.8681 | − | 13.5607i | −1.21408 | − | 0.516622i | ||||
\(690\) | −71.4500 | −2.72005 | ||||||||
\(691\) | 16.4563 | − | 28.5031i | 0.626026 | − | 1.08431i | −0.362315 | − | 0.932056i | \(-0.618014\pi\) |
0.988341 | − | 0.152254i | \(-0.0486531\pi\) | |||||||
\(692\) | −3.62181 | + | 6.27316i | −0.137681 | + | 0.238470i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.02776 | −0.0390131 | ||||||||
\(695\) | −24.5278 | − | 42.4833i | −0.930391 | − | 1.61148i | ||||
\(696\) | 5.63083 | + | 9.75289i | 0.213436 | + | 0.369682i | ||||
\(697\) | −6.55004 | −0.248100 | ||||||||
\(698\) | −15.5838 | − | 26.9920i | −0.589857 | − | 1.02166i | ||||
\(699\) | −34.4454 | + | 59.6611i | −1.30284 | + | 2.25659i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −27.0278 | −1.02082 | −0.510412 | − | 0.859930i | \(-0.670507\pi\) | ||||
−0.510412 | + | 0.859930i | \(0.670507\pi\) | |||||||
\(702\) | 24.9083 | − | 18.7350i | 0.940104 | − | 0.707107i | ||||
\(703\) | −4.01804 | −0.151543 | ||||||||
\(704\) | 26.0458 | − | 45.1127i | 0.981639 | − | 1.70025i | ||||
\(705\) | −51.4699 | + | 89.1486i | −1.93847 | + | 3.35753i | ||||
\(706\) | −4.15012 | − | 7.18821i | −0.156192 | − | 0.270532i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 2.89445 | + | 5.01333i | 0.108780 | + | 0.188413i | ||||
\(709\) | −0.137510 | − | 0.238174i | −0.00516428 | − | 0.00894480i | 0.863432 | − | 0.504466i | \(-0.168311\pi\) |
−0.868596 | + | 0.495521i | \(0.834977\pi\) | |||||||
\(710\) | 15.0156 | 0.563524 | ||||||||
\(711\) | −1.60555 | − | 2.78090i | −0.0602129 | − | 0.104292i | ||||
\(712\) | 12.9665 | − | 22.4587i | 0.485942 | − | 0.841676i | ||||
\(713\) | 2.88145 | − | 4.99082i | 0.107911 | − | 0.186908i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 49.0555 | − | 36.8975i | 1.83457 | − | 1.37989i | ||||
\(716\) | −4.35829 | −0.162877 | ||||||||
\(717\) | 16.7204 | − | 28.9606i | 0.624436 | − | 1.08155i | ||||
\(718\) | −14.9222 | + | 25.8460i | −0.556892 | + | 0.964565i | ||||
\(719\) | 10.8254 | + | 18.7502i | 0.403721 | + | 0.699265i | 0.994172 | − | 0.107808i | \(-0.0343833\pi\) |
−0.590451 | + | 0.807074i | \(0.701050\pi\) | |||||||
\(720\) | 50.4654 | 1.88074 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −6.96804 | − | 12.0690i | −0.259324 | − | 0.449162i | ||||
\(723\) | −5.78890 | −0.215291 | ||||||||
\(724\) | −1.40074 | − | 2.42615i | −0.0520580 | − | 0.0901671i | ||||
\(725\) | −2.15139 | + | 3.72631i | −0.0799005 | + | 0.138392i | ||||
\(726\) | −44.8746 | + | 77.7251i | −1.66545 | + | 2.88465i | ||||
\(727\) | 23.3958 | 0.867701 | 0.433850 | − | 0.900985i | \(-0.357155\pi\) | ||||
0.433850 | + | 0.900985i | \(0.357155\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −40.3305 | −1.49372 | ||||||||
\(730\) | −10.8167 | + | 18.7350i | −0.400342 | + | 0.693413i | ||||
\(731\) | −2.40525 | + | 4.16601i | −0.0889613 | + | 0.154085i | ||||
\(732\) | 2.51388 | + | 4.35416i | 0.0929156 | + | 0.160935i | ||||
\(733\) | 40.0762 | 1.48025 | 0.740124 | − | 0.672470i | \(-0.234767\pi\) | ||||
0.740124 | + | 0.672470i | \(0.234767\pi\) | |||||||
\(734\) | 18.4253 | + | 31.9136i | 0.680091 | + | 1.17795i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11.2111 | −0.413247 | ||||||||
\(737\) | 2.95416 | + | 5.11676i | 0.108818 | + | 0.188478i | ||||
\(738\) | −25.9331 | + | 44.9174i | −0.954610 | + | 1.65343i | ||||
\(739\) | 9.39445 | − | 16.2717i | 0.345580 | − | 0.598563i | −0.639879 | − | 0.768476i | \(-0.721015\pi\) |
0.985459 | + | 0.169913i | \(0.0543487\pi\) | |||||||
\(740\) | 1.21656 | 0.0447218 | ||||||||
\(741\) | −27.5459 | − | 11.7215i | −1.01192 | − | 0.430600i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 18.8486 | − | 32.6468i | 0.691489 | − | 1.19769i | −0.279862 | − | 0.960040i | \(-0.590289\pi\) |
0.971350 | − | 0.237653i | \(-0.0763781\pi\) | |||||||
\(744\) | −3.77082 | + | 6.53125i | −0.138245 | + | 0.239447i | ||||
\(745\) | 0.740358 | + | 1.28234i | 0.0271246 | + | 0.0469812i | ||||
\(746\) | 21.2389 | 0.777610 | ||||||||
\(747\) | −17.5929 | − | 30.4717i | −0.643689 | − | 1.11490i | ||||
\(748\) | −0.780347 | − | 1.35160i | −0.0285323 | − | 0.0494194i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −9.17914 | − | 15.8987i | −0.335175 | − | 0.580540i | ||||
\(751\) | 2.19722 | − | 3.80570i | 0.0801779 | − | 0.138872i | −0.823148 | − | 0.567826i | \(-0.807785\pi\) |
0.903326 | + | 0.428954i | \(0.141118\pi\) | |||||||
\(752\) | 20.4743 | − | 35.4626i | 0.746622 | − | 1.29319i | ||||
\(753\) | −64.8999 | −2.36508 | ||||||||
\(754\) | −0.740358 | − | 6.07448i | −0.0269623 | − | 0.221219i | ||||
\(755\) | 17.8970 | 0.651339 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.1194 | − | 38.3120i | 0.803944 | − | 1.39247i | −0.113057 | − | 0.993588i | \(-0.536064\pi\) |
0.917001 | − | 0.398884i | \(-0.130602\pi\) | |||||||
\(758\) | 8.54584 | + | 14.8018i | 0.310399 | + | 0.537626i | ||||
\(759\) | 112.457 | 4.08192 | ||||||||
\(760\) | −12.4542 | − | 21.5712i | −0.451760 | − | 0.782471i | ||||
\(761\) | −2.14110 | − | 3.70849i | −0.0776147 | − | 0.134433i | 0.824606 | − | 0.565708i | \(-0.191397\pi\) |
−0.902220 | + | 0.431275i | \(0.858064\pi\) | |||||||
\(762\) | −10.9175 | −0.395500 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 2.92221 | − | 5.06141i | 0.105722 | − | 0.183115i | ||||
\(765\) | 6.66527 | − | 11.5446i | 0.240983 | − | 0.417395i | ||||
\(766\) | −25.1406 | −0.908368 | ||||||||
\(767\) | −2.89445 | − | 23.7483i | −0.104512 | − | 0.857502i | ||||
\(768\) | 20.4343 | 0.737360 | ||||||||
\(769\) | −15.4518 | + | 26.7632i | −0.557205 | + | 0.965107i | 0.440523 | + | 0.897741i | \(0.354793\pi\) |
−0.997728 | + | 0.0673662i | \(0.978540\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 32.8305 | + | 56.8641i | 1.18236 | + | 2.04791i | ||||
\(772\) | 0.550039 | 0.0197963 | ||||||||
\(773\) | −17.4608 | − | 30.2430i | −0.628021 | − | 1.08776i | −0.987948 | − | 0.154784i | \(-0.950532\pi\) |
0.359927 | − | 0.932980i | \(-0.382801\pi\) | |||||||
\(774\) | 19.0458 | + | 32.9884i | 0.684588 | + | 1.18574i | ||||
\(775\) | −2.88145 | −0.103505 | ||||||||
\(776\) | −11 |