Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(36,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.36");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.v (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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(70\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 36.1 | ||
Character | \(\chi\) | \(=\) | 403.36 |
Dual form | 403.2.v.a.56.1 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.41811 | + | 1.39609i | −1.70986 | + | 0.987188i | −0.775148 | + | 0.631780i | \(0.782325\pi\) |
−0.934711 | + | 0.355408i | \(0.884342\pi\) | |||||||
\(3\) | 1.64523 | 0.949873 | 0.474937 | − | 0.880020i | \(-0.342471\pi\) | ||||
0.474937 | + | 0.880020i | \(0.342471\pi\) | |||||||
\(4\) | 2.89816 | − | 5.01976i | 1.44908 | − | 2.50988i | ||||
\(5\) | 1.92977 | − | 1.11415i | 0.863018 | − | 0.498264i | −0.00200348 | − | 0.999998i | \(-0.500638\pi\) |
0.865022 | + | 0.501734i | \(0.167304\pi\) | |||||||
\(6\) | −3.97834 | + | 2.29689i | −1.62415 | + | 0.937703i | ||||
\(7\) | 3.37818 | − | 1.95039i | 1.27683 | − | 0.737180i | 0.300568 | − | 0.953760i | \(-0.402824\pi\) |
0.976265 | + | 0.216581i | \(0.0694904\pi\) | |||||||
\(8\) | 10.6000i | 3.74768i | ||||||||
\(9\) | −0.293224 | −0.0977412 | ||||||||
\(10\) | −3.11092 | + | 5.38828i | −0.983760 | + | 1.70392i | ||||
\(11\) | 0.708516 | + | 0.409062i | 0.213626 | + | 0.123337i | 0.602995 | − | 0.797745i | \(-0.293974\pi\) |
−0.389370 | + | 0.921082i | \(0.627307\pi\) | |||||||
\(12\) | 4.76813 | − | 8.25865i | 1.37644 | − | 2.38407i | ||||
\(13\) | −3.50439 | + | 0.848075i | −0.971944 | + | 0.235214i | ||||
\(14\) | −5.44587 | + | 9.43252i | −1.45547 | + | 2.52095i | ||||
\(15\) | 3.17491 | − | 1.83303i | 0.819758 | − | 0.473287i | ||||
\(16\) | −9.00233 | − | 15.5925i | −2.25058 | − | 3.89812i | ||||
\(17\) | 1.44519 | + | 2.50315i | 0.350511 | + | 0.607103i | 0.986339 | − | 0.164728i | \(-0.0526745\pi\) |
−0.635828 | + | 0.771831i | \(0.719341\pi\) | |||||||
\(18\) | 0.709046 | − | 0.409368i | 0.167124 | − | 0.0964889i | ||||
\(19\) | 6.61155 | − | 3.81718i | 1.51679 | − | 0.875721i | 0.516988 | − | 0.855993i | \(-0.327053\pi\) |
0.999805 | − | 0.0197279i | \(-0.00628000\pi\) | |||||||
\(20\) | − | 12.9160i | − | 2.88810i | ||||||
\(21\) | 5.55788 | − | 3.20884i | 1.21283 | − | 0.700227i | ||||
\(22\) | −2.28436 | −0.487027 | ||||||||
\(23\) | −1.34770 | − | 2.33428i | −0.281015 | − | 0.486732i | 0.690620 | − | 0.723218i | \(-0.257338\pi\) |
−0.971635 | + | 0.236486i | \(0.924004\pi\) | |||||||
\(24\) | 17.4395i | 3.55982i | ||||||||
\(25\) | −0.0173306 | + | 0.0300174i | −0.00346611 | + | 0.00600349i | ||||
\(26\) | 7.29000 | − | 6.94320i | 1.42969 | − | 1.36167i | ||||
\(27\) | −5.41810 | −1.04271 | ||||||||
\(28\) | − | 22.6102i | − | 4.27293i | ||||||
\(29\) | −0.996765 | − | 1.72645i | −0.185095 | − | 0.320593i | 0.758514 | − | 0.651657i | \(-0.225926\pi\) |
−0.943608 | + | 0.331064i | \(0.892593\pi\) | |||||||
\(30\) | −5.11818 | + | 8.86494i | −0.934447 | + | 1.61851i | ||||
\(31\) | −2.32606 | − | 5.05860i | −0.417774 | − | 0.908551i | ||||
\(32\) | 25.1774 | + | 14.5362i | 4.45077 | + | 2.56966i | ||||
\(33\) | 1.16567 | + | 0.673001i | 0.202917 | + | 0.117154i | ||||
\(34\) | −6.98927 | − | 4.03526i | −1.19865 | − | 0.692041i | ||||
\(35\) | 4.34607 | − | 7.52762i | 0.734620 | − | 1.27240i | ||||
\(36\) | −0.849808 | + | 1.47191i | −0.141635 | + | 0.245319i | ||||
\(37\) | 7.35675i | 1.20944i | 0.796438 | + | 0.604721i | \(0.206715\pi\) | ||||
−0.796438 | + | 0.604721i | \(0.793285\pi\) | |||||||
\(38\) | −10.6583 | + | 18.4607i | −1.72900 | + | 2.99472i | ||||
\(39\) | −5.76553 | + | 1.39528i | −0.923223 | + | 0.223423i | ||||
\(40\) | 11.8100 | + | 20.4556i | 1.86733 | + | 3.23431i | ||||
\(41\) | 2.60925 | + | 1.50645i | 0.407496 | + | 0.235268i | 0.689713 | − | 0.724082i | \(-0.257737\pi\) |
−0.282217 | + | 0.959351i | \(0.591070\pi\) | |||||||
\(42\) | −8.95970 | + | 15.5187i | −1.38251 | + | 2.39458i | ||||
\(43\) | −1.65513 | − | 2.86677i | −0.252405 | − | 0.437178i | 0.711783 | − | 0.702400i | \(-0.247888\pi\) |
−0.964187 | + | 0.265222i | \(0.914555\pi\) | |||||||
\(44\) | 4.10679 | − | 2.37105i | 0.619121 | − | 0.357450i | ||||
\(45\) | −0.565853 | + | 0.326696i | −0.0843524 | + | 0.0487009i | ||||
\(46\) | 6.51776 | + | 3.76303i | 0.960991 | + | 0.554828i | ||||
\(47\) | 6.33846i | 0.924559i | 0.886734 | + | 0.462279i | \(0.152968\pi\) | ||||
−0.886734 | + | 0.462279i | \(0.847032\pi\) | |||||||
\(48\) | −14.8109 | − | 25.6532i | −2.13777 | − | 3.70272i | ||||
\(49\) | 4.10808 | − | 7.11540i | 0.586868 | − | 1.01649i | ||||
\(50\) | − | 0.0967804i | − | 0.0136868i | ||||||
\(51\) | 2.37768 | + | 4.11825i | 0.332941 | + | 0.576671i | ||||
\(52\) | −5.89915 | + | 20.0491i | −0.818065 | + | 2.78030i | ||||
\(53\) | −0.0147242 | − | 0.0255031i | −0.00202253 | − | 0.00350312i | 0.865012 | − | 0.501751i | \(-0.167310\pi\) |
−0.867035 | + | 0.498247i | \(0.833977\pi\) | |||||||
\(54\) | 13.1016 | − | 7.56419i | 1.78290 | − | 1.02936i | ||||
\(55\) | 1.82303 | 0.245817 | ||||||||
\(56\) | 20.6742 | + | 35.8088i | 2.76271 | + | 4.78516i | ||||
\(57\) | 10.8775 | − | 6.28013i | 1.44076 | − | 0.831824i | ||||
\(58\) | 4.82057 | + | 2.78316i | 0.632972 | + | 0.365446i | ||||
\(59\) | 0.804394 | − | 0.464417i | 0.104723 | − | 0.0604620i | −0.446724 | − | 0.894672i | \(-0.647409\pi\) |
0.551447 | + | 0.834210i | \(0.314076\pi\) | |||||||
\(60\) | − | 21.2497i | − | 2.74332i | ||||||
\(61\) | −2.79453 | + | 4.84027i | −0.357803 | + | 0.619733i | −0.987594 | − | 0.157032i | \(-0.949807\pi\) |
0.629790 | + | 0.776765i | \(0.283141\pi\) | |||||||
\(62\) | 12.6870 | + | 8.98482i | 1.61124 | + | 1.14107i | ||||
\(63\) | −0.990563 | + | 0.571902i | −0.124799 | + | 0.0720528i | ||||
\(64\) | −45.1661 | −5.64577 | ||||||||
\(65\) | −5.81778 | + | 5.54101i | −0.721607 | + | 0.687278i | ||||
\(66\) | −3.75829 | −0.462613 | ||||||||
\(67\) | 4.24509 | + | 2.45091i | 0.518621 | + | 0.299426i | 0.736370 | − | 0.676579i | \(-0.236538\pi\) |
−0.217749 | + | 0.976005i | \(0.569872\pi\) | |||||||
\(68\) | 16.7536 | 2.03167 | ||||||||
\(69\) | −2.21727 | − | 3.84043i | −0.266928 | − | 0.462333i | ||||
\(70\) | 24.2701i | 2.90083i | ||||||||
\(71\) | − | 1.10322i | − | 0.130928i | −0.997855 | − | 0.0654641i | \(-0.979147\pi\) | ||
0.997855 | − | 0.0654641i | \(-0.0208528\pi\) | |||||||
\(72\) | − | 3.10818i | − | 0.366302i | ||||||
\(73\) | 12.9357 | − | 7.46845i | 1.51401 | − | 0.874116i | 0.514148 | − | 0.857701i | \(-0.328108\pi\) |
0.999865 | − | 0.0164147i | \(-0.00522521\pi\) | |||||||
\(74\) | −10.2707 | − | 17.7894i | −1.19395 | − | 2.06797i | ||||
\(75\) | −0.0285127 | + | 0.0493855i | −0.00329237 | + | 0.00570255i | ||||
\(76\) | − | 44.2512i | − | 5.07596i | ||||||
\(77\) | 3.19133 | 0.363686 | ||||||||
\(78\) | 11.9937 | − | 11.4231i | 1.35802 | − | 1.29342i | ||||
\(79\) | −3.61822 | + | 6.26694i | −0.407081 | + | 0.705085i | −0.994561 | − | 0.104153i | \(-0.966787\pi\) |
0.587480 | + | 0.809239i | \(0.300120\pi\) | |||||||
\(80\) | −34.7448 | − | 20.0599i | −3.88459 | − | 2.24277i | ||||
\(81\) | −8.03435 | −0.892705 | ||||||||
\(82\) | −8.41259 | −0.929015 | ||||||||
\(83\) | −3.90288 | + | 2.25333i | −0.428397 | + | 0.247335i | −0.698664 | − | 0.715450i | \(-0.746222\pi\) |
0.270266 | + | 0.962786i | \(0.412888\pi\) | |||||||
\(84\) | − | 37.1990i | − | 4.05874i | ||||||
\(85\) | 5.57778 | + | 3.22033i | 0.604995 | + | 0.349294i | ||||
\(86\) | 8.00455 | + | 4.62143i | 0.863153 | + | 0.498342i | ||||
\(87\) | −1.63991 | − | 2.84040i | −0.175816 | − | 0.304523i | ||||
\(88\) | −4.33607 | + | 7.51030i | −0.462227 | + | 0.800600i | ||||
\(89\) | −11.2227 | + | 6.47940i | −1.18960 | + | 0.686815i | −0.958215 | − | 0.286047i | \(-0.907659\pi\) |
−0.231384 | + | 0.972863i | \(0.574325\pi\) | |||||||
\(90\) | 0.912196 | − | 1.57997i | 0.0961539 | − | 0.166543i | ||||
\(91\) | −10.1844 | + | 9.69990i | −1.06761 | + | 1.01683i | ||||
\(92\) | −15.6234 | −1.62885 | ||||||||
\(93\) | −3.82691 | − | 8.32255i | −0.396832 | − | 0.863008i | ||||
\(94\) | −8.84908 | − | 15.3271i | −0.912713 | − | 1.58087i | ||||
\(95\) | 8.50583 | − | 14.7325i | 0.872680 | − | 1.51153i | ||||
\(96\) | 41.4225 | + | 23.9153i | 4.22767 | + | 2.44085i | ||||
\(97\) | −10.6032 | − | 6.12178i | −1.07660 | − | 0.621573i | −0.146620 | − | 0.989193i | \(-0.546839\pi\) |
−0.929976 | + | 0.367620i | \(0.880173\pi\) | |||||||
\(98\) | 22.9411i | 2.31740i | ||||||||
\(99\) | −0.207754 | − | 0.119947i | −0.0208800 | − | 0.0120551i | ||||
\(100\) | 0.100453 | + | 0.173991i | 0.0100453 | + | 0.0173991i | ||||
\(101\) | 1.06096 | + | 1.83764i | 0.105570 | + | 0.182852i | 0.913971 | − | 0.405780i | \(-0.133000\pi\) |
−0.808401 | + | 0.588632i | \(0.799667\pi\) | |||||||
\(102\) | −11.4989 | − | 6.63892i | −1.13857 | − | 0.657351i | ||||
\(103\) | 6.71530 | + | 11.6312i | 0.661678 | + | 1.14606i | 0.980174 | + | 0.198136i | \(0.0634889\pi\) |
−0.318496 | + | 0.947924i | \(0.603178\pi\) | |||||||
\(104\) | −8.98963 | − | 37.1467i | −0.881505 | − | 3.64253i | ||||
\(105\) | 7.15028 | − | 12.3846i | 0.697796 | − | 1.20862i | ||||
\(106\) | 0.0712095 | + | 0.0411128i | 0.00691647 | + | 0.00399323i | ||||
\(107\) | 6.81231 | 0.658571 | 0.329285 | − | 0.944230i | \(-0.393192\pi\) | ||||
0.329285 | + | 0.944230i | \(0.393192\pi\) | |||||||
\(108\) | −15.7025 | + | 27.1976i | −1.51098 | + | 2.61709i | ||||
\(109\) | 1.72832i | 0.165543i | 0.996569 | + | 0.0827713i | \(0.0263771\pi\) | ||||
−0.996569 | + | 0.0827713i | \(0.973623\pi\) | |||||||
\(110\) | −4.40828 | + | 2.54512i | −0.420313 | + | 0.242668i | ||||
\(111\) | 12.1035i | 1.14882i | ||||||||
\(112\) | −60.8230 | − | 35.1162i | −5.74723 | − | 3.31817i | ||||
\(113\) | 1.27806 | 0.120229 | 0.0601147 | − | 0.998191i | \(-0.480853\pi\) | ||||
0.0601147 | + | 0.998191i | \(0.480853\pi\) | |||||||
\(114\) | −17.5353 | + | 30.3720i | −1.64233 | + | 2.84460i | ||||
\(115\) | −5.20149 | − | 3.00308i | −0.485042 | − | 0.280039i | ||||
\(116\) | −11.5551 | −1.07287 | ||||||||
\(117\) | 1.02757 | − | 0.248676i | 0.0949989 | − | 0.0229901i | ||||
\(118\) | −1.29674 | + | 2.24602i | −0.119375 | + | 0.206763i | ||||
\(119\) | 9.76426 | + | 5.63740i | 0.895089 | + | 0.516780i | ||||
\(120\) | 19.4302 | + | 33.6541i | 1.77373 | + | 3.07219i | ||||
\(121\) | −5.16534 | − | 8.94662i | −0.469576 | − | 0.813330i | ||||
\(122\) | − | 15.6057i | − | 1.41288i | ||||||
\(123\) | 4.29281 | + | 2.47846i | 0.387070 | + | 0.223475i | ||||
\(124\) | −32.1342 | − | 2.98434i | −2.88574 | − | 0.268002i | ||||
\(125\) | 11.2188i | 1.00344i | ||||||||
\(126\) | 1.59686 | − | 2.76584i | 0.142259 | − | 0.246400i | ||||
\(127\) | 8.18533 | 0.726331 | 0.363165 | − | 0.931725i | \(-0.381696\pi\) | ||||
0.363165 | + | 0.931725i | \(0.381696\pi\) | |||||||
\(128\) | 58.8617 | − | 33.9838i | 5.20269 | − | 3.00377i | ||||
\(129\) | −2.72306 | − | 4.71649i | −0.239752 | − | 0.415263i | ||||
\(130\) | 6.33223 | − | 21.5209i | 0.555373 | − | 1.88751i | ||||
\(131\) | 6.81525 | − | 11.8044i | 0.595452 | − | 1.03135i | −0.398031 | − | 0.917372i | \(-0.630307\pi\) |
0.993483 | − | 0.113981i | \(-0.0363601\pi\) | |||||||
\(132\) | 6.75660 | − | 3.90093i | 0.588087 | − | 0.339532i | ||||
\(133\) | 14.8900 | − | 25.7902i | 1.29113 | − | 2.23630i | ||||
\(134\) | −13.6868 | −1.18236 | ||||||||
\(135\) | −10.4557 | + | 6.03659i | −0.899882 | + | 0.519547i | ||||
\(136\) | −26.5335 | + | 15.3191i | −2.27523 | + | 1.31360i | ||||
\(137\) | 0.766909i | 0.0655215i | 0.999463 | + | 0.0327607i | \(0.0104299\pi\) | ||||
−0.999463 | + | 0.0327607i | \(0.989570\pi\) | |||||||
\(138\) | 10.7232 | + | 6.19104i | 0.912819 | + | 0.527016i | ||||
\(139\) | −3.58928 | + | 6.21682i | −0.304439 | + | 0.527304i | −0.977136 | − | 0.212614i | \(-0.931802\pi\) |
0.672697 | + | 0.739918i | \(0.265136\pi\) | |||||||
\(140\) | −25.1912 | − | 43.6325i | −2.12905 | − | 3.68762i | ||||
\(141\) | 10.4282i | 0.878213i | ||||||||
\(142\) | 1.54020 | + | 2.66770i | 0.129251 | + | 0.223869i | ||||
\(143\) | −2.82984 | − | 0.832639i | −0.236643 | − | 0.0696288i | ||||
\(144\) | 2.63969 | + | 4.57209i | 0.219975 | + | 0.381007i | ||||
\(145\) | −3.84705 | − | 2.22110i | −0.319480 | − | 0.184452i | ||||
\(146\) | −20.8533 | + | 36.1190i | −1.72583 | + | 2.98923i | ||||
\(147\) | 6.75872 | − | 11.7065i | 0.557450 | − | 0.965532i | ||||
\(148\) | 36.9291 | + | 21.3210i | 3.03555 | + | 1.75258i | ||||
\(149\) | −4.41011 | + | 2.54618i | −0.361290 | + | 0.208591i | −0.669646 | − | 0.742680i | \(-0.733554\pi\) |
0.308357 | + | 0.951271i | \(0.400221\pi\) | |||||||
\(150\) | − | 0.159226i | − | 0.0130007i | ||||||
\(151\) | 14.7740i | 1.20229i | 0.799139 | + | 0.601146i | \(0.205289\pi\) | ||||
−0.799139 | + | 0.601146i | \(0.794711\pi\) | |||||||
\(152\) | 40.4622 | + | 70.0826i | 3.28192 | + | 5.68445i | ||||
\(153\) | −0.423765 | − | 0.733983i | −0.0342594 | − | 0.0593390i | ||||
\(154\) | −7.71698 | + | 4.45540i | −0.621852 | + | 0.359026i | ||||
\(155\) | −10.1248 | − | 7.17033i | −0.813245 | − | 0.575935i | ||||
\(156\) | −9.70545 | + | 32.9853i | −0.777058 | + | 2.64094i | ||||
\(157\) | 6.72236 | 0.536502 | 0.268251 | − | 0.963349i | \(-0.413554\pi\) | ||||
0.268251 | + | 0.963349i | \(0.413554\pi\) | |||||||
\(158\) | − | 20.2055i | − | 1.60746i | ||||||
\(159\) | −0.0242247 | − | 0.0419584i | −0.00192114 | − | 0.00332752i | ||||
\(160\) | 64.7820 | 5.12147 | ||||||||
\(161\) | −9.10554 | − | 5.25709i | −0.717617 | − | 0.414317i | ||||
\(162\) | 19.4279 | − | 11.2167i | 1.52640 | − | 0.881268i | ||||
\(163\) | 3.71584 | + | 2.14534i | 0.291047 | + | 0.168036i | 0.638414 | − | 0.769693i | \(-0.279591\pi\) |
−0.347367 | + | 0.937729i | \(0.612924\pi\) | |||||||
\(164\) | 15.1240 | − | 8.73187i | 1.18099 | − | 0.681844i | ||||
\(165\) | 2.99930 | 0.233495 | ||||||||
\(166\) | 6.29173 | − | 10.8976i | 0.488333 | − | 0.845817i | ||||
\(167\) | 15.7276i | 1.21704i | 0.793540 | + | 0.608519i | \(0.208236\pi\) | ||||
−0.793540 | + | 0.608519i | \(0.791764\pi\) | |||||||
\(168\) | 34.0139 | + | 58.9137i | 2.62423 | + | 4.54529i | ||||
\(169\) | 11.5615 | − | 5.94398i | 0.889349 | − | 0.457229i | ||||
\(170\) | −17.9836 | −1.37928 | ||||||||
\(171\) | −1.93866 | + | 1.11929i | −0.148253 | + | 0.0855940i | ||||
\(172\) | −19.1873 | −1.46302 | ||||||||
\(173\) | −14.7504 | −1.12146 | −0.560728 | − | 0.828000i | \(-0.689479\pi\) | ||||
−0.560728 | + | 0.828000i | \(0.689479\pi\) | |||||||
\(174\) | 7.93094 | + | 4.57893i | 0.601243 | + | 0.347128i | ||||
\(175\) | 0.135206i | 0.0102206i | ||||||||
\(176\) | − | 14.7300i | − | 1.11032i | ||||||
\(177\) | 1.32341 | − | 0.764073i | 0.0994738 | − | 0.0574312i | ||||
\(178\) | 18.0917 | − | 31.3358i | 1.35603 | − | 2.34872i | ||||
\(179\) | −21.8379 | −1.63224 | −0.816119 | − | 0.577884i | \(-0.803879\pi\) | ||||
−0.816119 | + | 0.577884i | \(0.803879\pi\) | |||||||
\(180\) | 3.78726i | 0.282286i | ||||||||
\(181\) | 1.26009 | + | 2.18255i | 0.0936621 | + | 0.162227i | 0.909049 | − | 0.416688i | \(-0.136809\pi\) |
−0.815387 | + | 0.578916i | \(0.803476\pi\) | |||||||
\(182\) | 11.0850 | − | 37.6738i | 0.821673 | − | 2.79257i | ||||
\(183\) | −4.59764 | + | 7.96335i | −0.339868 | + | 0.588668i | ||||
\(184\) | 24.7435 | − | 14.2856i | 1.82411 | − | 1.05315i | ||||
\(185\) | 8.19653 | + | 14.1968i | 0.602621 | + | 1.04377i | ||||
\(186\) | 20.8729 | + | 14.7821i | 1.53048 | + | 1.08388i | ||||
\(187\) | 2.36470i | 0.172924i | ||||||||
\(188\) | 31.8175 | + | 18.3698i | 2.32053 | + | 1.33976i | ||||
\(189\) | −18.3033 | + | 10.5674i | −1.33137 | + | 0.768668i | ||||
\(190\) | 47.4998i | 3.44600i | ||||||||
\(191\) | −11.2938 | −0.817189 | −0.408594 | − | 0.912716i | \(-0.633981\pi\) | ||||
−0.408594 | + | 0.912716i | \(0.633981\pi\) | |||||||
\(192\) | −74.3086 | −5.36276 | ||||||||
\(193\) | 12.0359i | 0.866360i | 0.901307 | + | 0.433180i | \(0.142609\pi\) | ||||
−0.901307 | + | 0.433180i | \(0.857391\pi\) | |||||||
\(194\) | 34.1863 | 2.45444 | ||||||||
\(195\) | −9.57158 | + | 9.11623i | −0.685435 | + | 0.652827i | ||||
\(196\) | −23.8117 | − | 41.2431i | −1.70084 | − | 2.94594i | ||||
\(197\) | −21.7058 | − | 12.5319i | −1.54648 | − | 0.892859i | −0.998407 | − | 0.0564264i | \(-0.982029\pi\) |
−0.548070 | − | 0.836432i | \(-0.684637\pi\) | |||||||
\(198\) | 0.669827 | 0.0476026 | ||||||||
\(199\) | −7.23322 | −0.512749 | −0.256375 | − | 0.966578i | \(-0.582528\pi\) | ||||
−0.256375 | + | 0.966578i | \(0.582528\pi\) | |||||||
\(200\) | −0.318186 | − | 0.183705i | −0.0224991 | − | 0.0129899i | ||||
\(201\) | 6.98415 | + | 4.03230i | 0.492624 | + | 0.284417i | ||||
\(202\) | −5.13104 | − | 2.96241i | −0.361019 | − | 0.208434i | ||||
\(203\) | −6.73451 | − | 3.88817i | −0.472670 | − | 0.272896i | ||||
\(204\) | 27.5635 | 1.92983 | ||||||||
\(205\) | 6.71366 | 0.468902 | ||||||||
\(206\) | −32.4766 | − | 18.7504i | −2.26275 | − | 1.30640i | ||||
\(207\) | 0.395177 | + | 0.684467i | 0.0274667 | + | 0.0475737i | ||||
\(208\) | 44.7713 | + | 47.0076i | 3.10433 | + | 3.25939i | ||||
\(209\) | 6.24585 | 0.432035 | ||||||||
\(210\) | 39.9299i | 2.75542i | ||||||||
\(211\) | 2.39519 | 0.164892 | 0.0824458 | − | 0.996596i | \(-0.473727\pi\) | ||||
0.0824458 | + | 0.996596i | \(0.473727\pi\) | |||||||
\(212\) | −0.170692 | −0.0117232 | ||||||||
\(213\) | − | 1.81505i | − | 0.124365i | ||||||
\(214\) | −16.4729 | + | 9.51062i | −1.12606 | + | 0.650133i | ||||
\(215\) | −6.38803 | − | 3.68813i | −0.435660 | − | 0.251528i | ||||
\(216\) | − | 57.4321i | − | 3.90776i | ||||||
\(217\) | −17.7241 | − | 12.5521i | −1.20319 | − | 0.852094i | ||||
\(218\) | −2.41289 | − | 4.17925i | −0.163422 | − | 0.283055i | ||||
\(219\) | 21.2822 | − | 12.2873i | 1.43812 | − | 0.830299i | ||||
\(220\) | 5.28343 | − | 9.15117i | 0.356209 | − | 0.616972i | ||||
\(221\) | −7.18739 | − | 7.54639i | −0.483476 | − | 0.507625i | ||||
\(222\) | −16.8977 | − | 29.2676i | −1.13410 | − | 1.96431i | ||||
\(223\) | − | 16.3214i | − | 1.09296i | −0.837471 | − | 0.546481i | \(-0.815967\pi\) | ||
0.837471 | − | 0.546481i | \(-0.184033\pi\) | |||||||
\(224\) | 113.405 | 7.57719 | ||||||||
\(225\) | 0.00508173 | − | 0.00880182i | 0.000338782 | − | 0.000586788i | ||||
\(226\) | −3.09047 | + | 1.78429i | −0.205575 | + | 0.118689i | ||||
\(227\) | 0.678272i | 0.0450185i | 0.999747 | + | 0.0225092i | \(0.00716552\pi\) | ||||
−0.999747 | + | 0.0225092i | \(0.992834\pi\) | |||||||
\(228\) | − | 72.8033i | − | 4.82151i | ||||||
\(229\) | −5.27913 | − | 3.04790i | −0.348854 | − | 0.201411i | 0.315326 | − | 0.948983i | \(-0.397886\pi\) |
−0.664181 | + | 0.747572i | \(0.731219\pi\) | |||||||
\(230\) | 16.7703 | 1.10580 | ||||||||
\(231\) | 5.25047 | 0.345455 | ||||||||
\(232\) | 18.3004 | − | 10.5657i | 1.20148 | − | 0.693675i | ||||
\(233\) | 5.15269 | 0.337564 | 0.168782 | − | 0.985653i | \(-0.446017\pi\) | ||||
0.168782 | + | 0.985653i | \(0.446017\pi\) | |||||||
\(234\) | −2.13760 | + | 2.03591i | −0.139739 | + | 0.133092i | ||||
\(235\) | 7.06200 | + | 12.2317i | 0.460674 | + | 0.797911i | ||||
\(236\) | − | 5.38382i | − | 0.350457i | ||||||
\(237\) | −5.95279 | + | 10.3105i | −0.386676 | + | 0.669742i | ||||
\(238\) | −31.4814 | −2.04063 | ||||||||
\(239\) | 10.6670 | − | 6.15858i | 0.689989 | − | 0.398365i | −0.113619 | − | 0.993524i | \(-0.536244\pi\) |
0.803608 | + | 0.595159i | \(0.202911\pi\) | |||||||
\(240\) | −57.1631 | − | 33.0032i | −3.68987 | − | 2.13034i | ||||
\(241\) | −3.70939 | + | 2.14162i | −0.238943 | + | 0.137954i | −0.614691 | − | 0.788768i | \(-0.710719\pi\) |
0.375748 | + | 0.926722i | \(0.377386\pi\) | |||||||
\(242\) | 24.9807 | + | 14.4226i | 1.60582 | + | 0.927119i | ||||
\(243\) | 3.03597 | 0.194758 | ||||||||
\(244\) | 16.1980 | + | 28.0557i | 1.03697 | + | 1.79608i | ||||
\(245\) | − | 18.3081i | − | 1.16966i | ||||||
\(246\) | −13.8406 | −0.882446 | ||||||||
\(247\) | −19.9322 | + | 18.9840i | −1.26826 | + | 1.20792i | ||||
\(248\) | 53.6213 | − | 24.6564i | 3.40496 | − | 1.56568i | ||||
\(249\) | −6.42114 | + | 3.70725i | −0.406923 | + | 0.234937i | ||||
\(250\) | −15.6624 | − | 27.1281i | −0.990580 | − | 1.71573i | ||||
\(251\) | −6.27757 | − | 10.8731i | −0.396237 | − | 0.686302i | 0.597021 | − | 0.802225i | \(-0.296351\pi\) |
−0.993258 | + | 0.115923i | \(0.963017\pi\) | |||||||
\(252\) | 6.62985i | 0.417641i | ||||||||
\(253\) | − | 2.20517i | − | 0.138638i | ||||||
\(254\) | −19.7930 | + | 11.4275i | −1.24192 | + | 0.717025i | ||||
\(255\) | 9.17672 | + | 5.29818i | 0.574669 | + | 0.331785i | ||||
\(256\) | −49.7231 | + | 86.1230i | −3.10770 | + | 5.38269i | ||||
\(257\) | −1.15397 | + | 1.99873i | −0.0719826 | + | 0.124677i | −0.899770 | − | 0.436364i | \(-0.856266\pi\) |
0.827788 | + | 0.561042i | \(0.189599\pi\) | |||||||
\(258\) | 13.1693 | + | 7.60331i | 0.819886 | + | 0.473361i | ||||
\(259\) | 14.3486 | + | 24.8524i | 0.891576 | + | 1.54425i | ||||
\(260\) | 10.9537 | + | 45.2626i | 0.679320 | + | 2.80707i | ||||
\(261\) | 0.292275 | + | 0.506235i | 0.0180914 | + | 0.0313352i | ||||
\(262\) | 38.0589i | 2.35129i | ||||||||
\(263\) | −13.8662 | − | 24.0170i | −0.855030 | − | 1.48095i | −0.876618 | − | 0.481188i | \(-0.840206\pi\) |
0.0215880 | − | 0.999767i | \(-0.493128\pi\) | |||||||
\(264\) | −7.13383 | + | 12.3562i | −0.439057 | + | 0.760469i | ||||
\(265\) | −0.0568287 | − | 0.0328100i | −0.00349096 | − | 0.00201550i | ||||
\(266\) | 83.1514i | 5.09834i | ||||||||
\(267\) | −18.4638 | + | 10.6601i | −1.12997 | + | 0.652387i | ||||
\(268\) | 24.6059 | − | 14.2062i | 1.50305 | − | 0.867784i | ||||
\(269\) | −17.7807 | −1.08411 | −0.542055 | − | 0.840343i | \(-0.682353\pi\) | ||||
−0.542055 | + | 0.840343i | \(0.682353\pi\) | |||||||
\(270\) | 16.8553 | − | 29.1942i | 1.02578 | − | 1.77671i | ||||
\(271\) | 16.8455 | − | 9.72573i | 1.02329 | − | 0.590796i | 0.108234 | − | 0.994125i | \(-0.465480\pi\) |
0.915055 | + | 0.403329i | \(0.132147\pi\) | |||||||
\(272\) | 26.0202 | − | 45.0684i | 1.57771 | − | 2.73267i | ||||
\(273\) | −16.7557 | + | 15.9586i | −1.01410 | + | 0.965856i | ||||
\(274\) | −1.07068 | − | 1.85447i | −0.0646820 | − | 0.112033i | ||||
\(275\) | −0.0245580 | + | 0.0141786i | −0.00148090 | + | 0.000854999i | ||||
\(276\) | −25.7040 | −1.54720 | ||||||||
\(277\) | −14.1360 | + | 24.4843i | −0.849350 | + | 1.47112i | 0.0324390 | + | 0.999474i | \(0.489673\pi\) |
−0.881789 | + | 0.471644i | \(0.843661\pi\) | |||||||
\(278\) | − | 20.0439i | − | 1.20215i | ||||||
\(279\) | 0.682057 | + | 1.48330i | 0.0408337 | + | 0.0888029i | ||||
\(280\) | 79.7930 | + | 46.0685i | 4.76854 | + | 2.75312i | ||||
\(281\) | 13.5293i | 0.807093i | 0.914959 | + | 0.403547i | \(0.132223\pi\) | ||||
−0.914959 | + | 0.403547i | \(0.867777\pi\) | |||||||
\(282\) | −14.5588 | − | 25.2165i | −0.866962 | − | 1.50162i | ||||
\(283\) | −1.66988 | − | 2.89232i | −0.0992643 | − | 0.171931i | 0.812116 | − | 0.583496i | \(-0.198316\pi\) |
−0.911380 | + | 0.411565i | \(0.864982\pi\) | |||||||
\(284\) | −5.53790 | − | 3.19731i | −0.328614 | − | 0.189725i | ||||
\(285\) | 13.9940 | − | 24.2384i | 0.828935 | − | 1.43576i | ||||
\(286\) | 8.00529 | − | 1.93731i | 0.473362 | − | 0.114555i | ||||
\(287\) | 11.7527 | 0.693740 | ||||||||
\(288\) | −7.38260 | − | 4.26235i | −0.435024 | − | 0.251161i | ||||
\(289\) | 4.32282 | − | 7.48735i | 0.254284 | − | 0.440432i | ||||
\(290\) | 12.4034 | 0.728355 | ||||||||
\(291\) | −17.4447 | − | 10.0717i | −1.02263 | − | 0.590415i | ||||
\(292\) | − | 86.5790i | − | 5.06665i | ||||||
\(293\) | 17.4437 | − | 10.0711i | 1.01907 | − | 0.588360i | 0.105235 | − | 0.994447i | \(-0.466441\pi\) |
0.913834 | + | 0.406088i | \(0.133107\pi\) | |||||||
\(294\) | 37.7433i | 2.20123i | ||||||||
\(295\) | 1.03486 | − | 1.79244i | 0.0602521 | − | 0.104360i | ||||
\(296\) | −77.9817 | −4.53260 | ||||||||
\(297\) | −3.83882 | − | 2.21634i | −0.222751 | − | 0.128605i | ||||
\(298\) | 7.10940 | − | 12.3138i | 0.411837 | − | 0.713322i | ||||
\(299\) | 6.70251 | + | 7.03729i | 0.387616 | + | 0.406977i | ||||
\(300\) | 0.165269 | + | 0.286254i | 0.00954181 | + | 0.0165269i | ||||
\(301\) | −11.1827 | − | 6.45631i | −0.644557 | − | 0.372135i | ||||
\(302\) | −20.6259 | − | 35.7251i | −1.18689 | − | 2.05575i | ||||
\(303\) | 1.74552 | + | 3.02334i | 0.100278 | + | 0.173686i | ||||
\(304\) | −119.039 | − | 68.7270i | −6.82733 | − | 3.94176i | ||||
\(305\) | 12.4541i | 0.713122i | ||||||||
\(306\) | 2.04942 | + | 1.18323i | 0.117157 | + | 0.0676409i | ||||
\(307\) | 22.5129 | + | 12.9978i | 1.28488 | + | 0.741824i | 0.977736 | − | 0.209840i | \(-0.0672945\pi\) |
0.307141 | + | 0.951664i | \(0.400628\pi\) | |||||||
\(308\) | 9.24898 | − | 16.0197i | 0.527010 | − | 0.912807i | ||||
\(309\) | 11.0482 | + | 19.1361i | 0.628510 | + | 1.08861i | ||||
\(310\) | 34.4933 | + | 3.20343i | 1.95909 | + | 0.181943i | ||||
\(311\) | −28.9692 | −1.64269 | −0.821347 | − | 0.570429i | \(-0.806777\pi\) | ||||
−0.821347 | + | 0.570429i | \(0.806777\pi\) | |||||||
\(312\) | −14.7900 | − | 61.1148i | −0.837318 | − | 3.45994i | ||||
\(313\) | 6.35066 | − | 10.9997i | 0.358960 | − | 0.621737i | −0.628827 | − | 0.777545i | \(-0.716465\pi\) |
0.987787 | + | 0.155808i | \(0.0497980\pi\) | |||||||
\(314\) | −16.2554 | + | 9.38504i | −0.917344 | + | 0.529629i | ||||
\(315\) | −1.27437 | + | 2.20727i | −0.0718026 | + | 0.124366i | ||||
\(316\) | 20.9723 | + | 36.3251i | 1.17979 | + | 2.04345i | ||||
\(317\) | −9.94255 | − | 5.74033i | −0.558429 | − | 0.322409i | 0.194086 | − | 0.980985i | \(-0.437826\pi\) |
−0.752515 | + | 0.658575i | \(0.771159\pi\) | |||||||
\(318\) | 0.117156 | + | 0.0676399i | 0.00656977 | + | 0.00379306i | ||||
\(319\) | − | 1.63096i | − | 0.0913160i | ||||||
\(320\) | −87.1601 | + | 50.3219i | −4.87240 | + | 2.81308i | ||||
\(321\) | 11.2078 | 0.625559 | ||||||||
\(322\) | 29.3576 | 1.63603 | ||||||||
\(323\) | 19.1099 | + | 11.0331i | 1.06331 | + | 0.613900i | ||||
\(324\) | −23.2848 | + | 40.3305i | −1.29360 | + | 2.24058i | ||||
\(325\) | 0.0352761 | − | 0.119890i | 0.00195677 | − | 0.00665033i | ||||
\(326\) | −11.9804 | −0.663532 | ||||||||
\(327\) | 2.84347i | 0.157245i | ||||||||
\(328\) | −15.9684 | + | 27.6581i | −0.881709 | + | 1.52716i | ||||
\(329\) | 12.3625 | + | 21.4125i | 0.681566 | + | 1.18051i | ||||
\(330\) | −7.25263 | + | 4.18731i | −0.399244 | + | 0.230504i | ||||
\(331\) | − | 12.9453i | − | 0.711537i | −0.934574 | − | 0.355768i | \(-0.884219\pi\) | ||
0.934574 | − | 0.355768i | \(-0.115781\pi\) | |||||||
\(332\) | 26.1220i | 1.43363i | ||||||||
\(333\) | − | 2.15717i | − | 0.118212i | ||||||
\(334\) | −21.9572 | − | 38.0310i | −1.20144 | − | 2.08096i | ||||
\(335\) | 10.9227 | 0.596772 | ||||||||
\(336\) | −100.068 | − | 57.7741i | −5.45914 | − | 3.15184i | ||||
\(337\) | −20.2789 | −1.10466 | −0.552332 | − | 0.833624i | \(-0.686262\pi\) | ||||
−0.552332 | + | 0.833624i | \(0.686262\pi\) | |||||||
\(338\) | −19.6587 | + | 30.5142i | −1.06929 | + | 1.65975i | ||||
\(339\) | 2.10269 | 0.114203 | ||||||||
\(340\) | 32.3306 | − | 18.6661i | 1.75337 | − | 1.01231i | ||||
\(341\) | 0.421226 | − | 4.53561i | 0.0228107 | − | 0.245617i | ||||
\(342\) | 3.12526 | − | 5.41311i | 0.168995 | − | 0.292707i | ||||
\(343\) | − | 4.74396i | − | 0.256150i | ||||||
\(344\) | 30.3878 | − | 17.5444i | 1.63840 | − | 0.945932i | ||||
\(345\) | −8.55764 | − | 4.94076i | −0.460728 | − | 0.266001i | ||||
\(346\) | 35.6681 | − | 20.5930i | 1.91753 | − | 1.10709i | ||||
\(347\) | 13.5164 | + | 23.4110i | 0.725597 | + | 1.25677i | 0.958728 | + | 0.284325i | \(0.0917694\pi\) |
−0.233131 | + | 0.972445i | \(0.574897\pi\) | |||||||
\(348\) | −19.0108 | −1.01909 | ||||||||
\(349\) | −7.20564 | + | 4.16018i | −0.385709 | + | 0.222689i | −0.680299 | − | 0.732934i | \(-0.738150\pi\) |
0.294590 | + | 0.955624i | \(0.404817\pi\) | |||||||
\(350\) | −0.188760 | − | 0.326942i | −0.0100896 | − | 0.0174758i | ||||
\(351\) | 18.9872 | − | 4.59496i | 1.01346 | − | 0.245261i | ||||
\(352\) | 11.8924 | + | 20.5982i | 0.633867 | + | 1.09789i | ||||
\(353\) | − | 1.40061i | − | 0.0745469i | −0.999305 | − | 0.0372735i | \(-0.988133\pi\) | ||
0.999305 | − | 0.0372735i | \(-0.0118673\pi\) | |||||||
\(354\) | −2.13343 | + | 3.69522i | −0.113391 | + | 0.196399i | ||||
\(355\) | −1.22915 | − | 2.12896i | −0.0652368 | − | 0.112993i | ||||
\(356\) | 75.1133i | 3.98100i | ||||||||
\(357\) | 16.0644 | + | 9.27481i | 0.850220 | + | 0.490875i | ||||
\(358\) | 52.8063 | − | 30.4877i | 2.79090 | − | 1.61133i | ||||
\(359\) | −4.96515 | + | 2.86663i | −0.262051 | + | 0.151295i | −0.625270 | − | 0.780409i | \(-0.715011\pi\) |
0.363219 | + | 0.931704i | \(0.381678\pi\) | |||||||
\(360\) | −3.46298 | − | 5.99806i | −0.182515 | − | 0.316126i | ||||
\(361\) | 19.6417 | − | 34.0204i | 1.03377 | − | 1.79055i | ||||
\(362\) | −6.09408 | − | 3.51842i | −0.320298 | − | 0.184924i | ||||
\(363\) | −8.49816 | − | 14.7192i | −0.446038 | − | 0.772560i | ||||
\(364\) | 19.1752 | + | 79.2351i | 1.00505 | + | 4.15305i | ||||
\(365\) | 16.6420 | − | 28.8248i | 0.871081 | − | 1.50876i | ||||
\(366\) | − | 25.6750i | − | 1.34205i | ||||||
\(367\) | −16.8049 | + | 29.1070i | −0.877209 | + | 1.51937i | −0.0228190 | + | 0.999740i | \(0.507264\pi\) |
−0.854390 | + | 0.519632i | \(0.826069\pi\) | |||||||
\(368\) | −24.2649 | + | 42.0280i | −1.26489 | + | 2.19086i | ||||
\(369\) | −0.765093 | − | 0.441727i | −0.0398292 | − | 0.0229954i | ||||
\(370\) | −39.6402 | − | 22.8863i | −2.06079 | − | 1.18980i | ||||
\(371\) | −0.0994822 | − | 0.0574361i | −0.00516486 | − | 0.00298193i | ||||
\(372\) | −52.8682 | − | 4.90992i | −2.74109 | − | 0.254567i | ||||
\(373\) | 6.29024 | − | 10.8950i | 0.325696 | − | 0.564122i | −0.655957 | − | 0.754798i | \(-0.727735\pi\) |
0.981653 | + | 0.190676i | \(0.0610680\pi\) | |||||||
\(374\) | −3.30134 | − | 5.71809i | −0.170708 | − | 0.295675i | ||||
\(375\) | 18.4574i | 0.953137i | ||||||||
\(376\) | −67.1878 | −3.46495 | ||||||||
\(377\) | 4.95722 | + | 5.20482i | 0.255310 | + | 0.268062i | ||||
\(378\) | 29.5063 | − | 51.1064i | 1.51764 | − | 2.62863i | ||||
\(379\) | − | 1.88820i | − | 0.0969904i | −0.998823 | − | 0.0484952i | \(-0.984557\pi\) | ||
0.998823 | − | 0.0484952i | \(-0.0154426\pi\) | |||||||
\(380\) | −49.3025 | − | 85.3945i | −2.52917 | − | 4.38064i | ||||
\(381\) | 13.4667 | 0.689922 | ||||||||
\(382\) | 27.3095 | − | 15.7672i | 1.39728 | − | 0.806719i | ||||
\(383\) | 16.3529i | 0.835595i | 0.908540 | + | 0.417797i | \(0.137198\pi\) | ||||
−0.908540 | + | 0.417797i | \(0.862802\pi\) | |||||||
\(384\) | 96.8410 | − | 55.9112i | 4.94190 | − | 2.85320i | ||||
\(385\) | 6.15853 | − | 3.55563i | 0.313868 | − | 0.181212i | ||||
\(386\) | −16.8032 | − | 29.1040i | −0.855260 | − | 1.48135i | ||||
\(387\) | 0.485323 | + | 0.840603i | 0.0246703 | + | 0.0427303i | ||||
\(388\) | −61.4597 | + | 35.4838i | −3.12014 | + | 1.80142i | ||||
\(389\) | 4.22898 | − | 7.32481i | 0.214418 | − | 0.371383i | −0.738674 | − | 0.674062i | \(-0.764548\pi\) |
0.953092 | + | 0.302680i | \(0.0978812\pi\) | |||||||
\(390\) | 10.4180 | − | 35.4068i | 0.527534 | − | 1.79290i | ||||
\(391\) | 3.89537 | − | 6.74699i | 0.196998 | − | 0.341210i | ||||
\(392\) | 75.4235 | + | 43.5458i | 3.80946 | + | 2.19939i | ||||
\(393\) | 11.2126 | − | 19.4209i | 0.565603 | − | 0.979654i | ||||
\(394\) | 69.9827 | 3.52568 | ||||||||
\(395\) | 16.1250i | 0.811336i | ||||||||
\(396\) | −1.20421 | + | 0.695249i | −0.0605136 | + | 0.0349376i | ||||
\(397\) | 3.68917 | − | 2.12994i | 0.185154 | − | 0.106899i | −0.404558 | − | 0.914512i | \(-0.632575\pi\) |
0.589712 | + | 0.807614i | \(0.299241\pi\) | |||||||
\(398\) | 17.4907 | − | 10.0983i | 0.876729 | − | 0.506180i | ||||
\(399\) | 24.4975 | − | 42.4309i | 1.22641 | − | 2.12420i | ||||
\(400\) | 0.624062 | 0.0312031 | ||||||||
\(401\) | 14.9525 | − | 8.63281i | 0.746690 | − | 0.431102i | −0.0778064 | − | 0.996968i | \(-0.524792\pi\) |
0.824497 | + | 0.565867i | \(0.191458\pi\) | |||||||
\(402\) | −22.5179 | −1.12309 | ||||||||
\(403\) | 12.4415 | + | 15.7546i | 0.619756 | + | 0.784794i | ||||
\(404\) | 12.2993 | 0.611915 | ||||||||
\(405\) | −15.5044 | + | 8.95149i | −0.770421 | + | 0.444803i | ||||
\(406\) | 21.7130 | 1.07760 | ||||||||
\(407\) | −3.00937 | + | 5.21238i | −0.149169 | + | 0.258368i | ||||
\(408\) | −43.6536 | + | 25.2034i | −2.16118 | + | 1.24776i | ||||
\(409\) | 5.45455 | − | 3.14919i | 0.269710 | − | 0.155717i | −0.359046 | − | 0.933320i | \(-0.616898\pi\) |
0.628756 | + | 0.777603i | \(0.283564\pi\) | |||||||
\(410\) | −16.2343 | + | 9.37290i | −0.801757 | + | 0.462895i | ||||
\(411\) | 1.26174i | 0.0622371i | ||||||||
\(412\) | 77.8480 | 3.83530 | ||||||||
\(413\) | 1.81159 | − | 3.13777i | 0.0891427 | − | 0.154400i | ||||
\(414\) | −1.91116 | − | 1.10341i | −0.0939284 | − | 0.0542296i | ||||
\(415\) | −5.02111 | + | 8.69681i | −0.246476 | + | 0.426910i | ||||
\(416\) | −100.559 | − | 29.5881i | −4.93032 | − | 1.45068i | ||||
\(417\) | −5.90519 | + | 10.2281i | −0.289178 | + | 0.500871i | ||||
\(418\) | −15.1031 | + | 8.71980i | −0.738719 | + | 0.426499i | ||||
\(419\) | 4.83224 | + | 8.36968i | 0.236070 | + | 0.408886i | 0.959583 | − | 0.281425i | \(-0.0908071\pi\) |
−0.723513 | + | 0.690311i | \(0.757474\pi\) | |||||||
\(420\) | −41.4453 | − | 71.7854i | −2.02232 | − | 3.50277i | ||||
\(421\) | 27.7753 | − | 16.0361i | 1.35368 | − | 0.781550i | 0.364921 | − | 0.931038i | \(-0.381096\pi\) |
0.988764 | + | 0.149488i | \(0.0477626\pi\) | |||||||
\(422\) | −5.79182 | + | 3.34391i | −0.281941 | + | 0.162779i | ||||
\(423\) | − | 1.85858i | − | 0.0903675i | ||||||
\(424\) | 0.270334 | − | 0.156077i | 0.0131286 | − | 0.00757978i | ||||
\(425\) | −0.100184 | −0.00485965 | ||||||||
\(426\) | 2.53398 | + | 4.38898i | 0.122772 | + | 0.212647i | ||||
\(427\) | 21.8018i | 1.05506i | ||||||||
\(428\) | 19.7431 | − | 34.1961i | 0.954321 | − | 1.65293i | ||||
\(429\) | −4.65573 | − | 1.36988i | −0.224781 | − | 0.0661385i | ||||
\(430\) | 20.5959 | 0.993223 | ||||||||
\(431\) | − | 14.6857i | − | 0.707387i | −0.935361 | − | 0.353693i | \(-0.884926\pi\) | ||
0.935361 | − | 0.353693i | \(-0.115074\pi\) | |||||||
\(432\) | 48.7756 | + | 84.4818i | 2.34672 | + | 4.06463i | ||||
\(433\) | 2.58867 | − | 4.48371i | 0.124404 | − | 0.215473i | −0.797096 | − | 0.603853i | \(-0.793632\pi\) |
0.921500 | + | 0.388379i | \(0.126965\pi\) | |||||||
\(434\) | 60.3828 | + | 5.60781i | 2.89847 | + | 0.269183i | ||||
\(435\) | −6.32928 | − | 3.65421i | −0.303466 | − | 0.175206i | ||||
\(436\) | 8.67573 | + | 5.00893i | 0.415492 | + | 0.239884i | ||||
\(437\) | −17.8207 | − | 10.2888i | −0.852482 | − | 0.492181i | ||||
\(438\) | −34.3085 | + | 59.4240i | −1.63932 | + | 2.83939i | ||||
\(439\) | −11.6444 | + | 20.1687i | −0.555757 | + | 0.962600i | 0.442087 | + | 0.896972i | \(0.354238\pi\) |
−0.997844 | + | 0.0656274i | \(0.979095\pi\) | |||||||
\(440\) | 19.3242i | 0.921244i | ||||||||
\(441\) | −1.20458 | + | 2.08640i | −0.0573612 | + | 0.0993525i | ||||
\(442\) | 27.9153 | + | 8.21370i | 1.32780 | + | 0.390686i | ||||
\(443\) | −9.31845 | − | 16.1400i | −0.442733 | − | 0.766836i | 0.555158 | − | 0.831745i | \(-0.312658\pi\) |
−0.997891 | + | 0.0649087i | \(0.979324\pi\) | |||||||
\(444\) | 60.7568 | + | 35.0779i | 2.88339 | + | 1.66473i | ||||
\(445\) | −14.4381 | + | 25.0075i | −0.684431 | + | 1.18547i | ||||
\(446\) | 22.7862 | + | 39.4669i | 1.07896 | + | 1.86881i | ||||
\(447\) | −7.25563 | + | 4.18904i | −0.343180 | + | 0.198135i | ||||
\(448\) | −152.579 | + | 88.0918i | −7.20870 | + | 4.16194i | ||||
\(449\) | −13.5566 | − | 7.82690i | −0.639775 | − | 0.369374i | 0.144753 | − | 0.989468i | \(-0.453761\pi\) |
−0.784528 | + | 0.620094i | \(0.787095\pi\) | |||||||
\(450\) | 0.0283783i | 0.00133777i | ||||||||
\(451\) | 1.23246 | + | 2.13469i | 0.0580345 | + | 0.100519i | ||||
\(452\) | 3.70401 | − | 6.41553i | 0.174222 | − | 0.301761i | ||||
\(453\) | 24.3066i | 1.14202i | ||||||||
\(454\) | −0.946931 | − | 1.64013i | −0.0444417 | − | 0.0769752i | ||||
\(455\) | −8.84636 | + | 30.0655i | −0.414724 | + | 1.40949i | ||||
\(456\) | 66.5696 | + | 115.302i | 3.11741 | + | 5.39951i | ||||
\(457\) | 11.5889 | − | 6.69084i | 0.542105 | − | 0.312984i | −0.203827 | − | 0.979007i | \(-0.565338\pi\) |
0.745931 | + | 0.666023i | \(0.232005\pi\) | |||||||
\(458\) | 17.0206 | 0.795323 | ||||||||
\(459\) | −7.83022 | − | 13.5623i | −0.365483 | − | 0.633036i | ||||
\(460\) | −30.1495 | + | 17.4068i | −1.40573 | + | 0.811597i | ||||
\(461\) | −21.6772 | − | 12.5153i | −1.00961 | − | 0.582896i | −0.0985297 | − | 0.995134i | \(-0.531414\pi\) |
−0.911076 | + | 0.412238i | \(0.864747\pi\) | |||||||
\(462\) | −12.6962 | + | 7.33015i | −0.590680 | + | 0.341029i | ||||
\(463\) | 20.6015i | 0.957433i | 0.877969 | + | 0.478717i | \(0.158898\pi\) | ||||
−0.877969 | + | 0.478717i | \(0.841102\pi\) | |||||||
\(464\) | −17.9464 | + | 31.0841i | −0.833142 | + | 1.44304i | ||||
\(465\) | −16.6576 | − | 11.7968i | −0.772479 | − | 0.547065i | ||||
\(466\) | −12.4598 | + | 7.19365i | −0.577187 | + | 0.333239i | ||||
\(467\) | 36.7431 | 1.70027 | 0.850134 | − | 0.526566i | \(-0.176521\pi\) | ||||
0.850134 | + | 0.526566i | \(0.176521\pi\) | |||||||
\(468\) | 1.72977 | − | 5.87886i | 0.0799587 | − | 0.271750i | ||||
\(469\) | 19.1209 | 0.882923 | ||||||||
\(470\) | −34.1533 | − | 19.7184i | −1.57538 | − | 0.909544i | ||||
\(471\) | 11.0598 | 0.509609 | ||||||||
\(472\) | 4.92284 | + | 8.52661i | 0.226592 | + | 0.392469i | ||||
\(473\) | − | 2.70820i | − | 0.124523i | ||||||
\(474\) | − | 33.2426i | − | 1.52689i | ||||||
\(475\) | 0.264616i | 0.0121414i | ||||||||
\(476\) | 56.5968 | − | 32.6762i | 2.59411 | − | 1.49771i | ||||
\(477\) | 0.00431749 | + | 0.00747811i | 0.000197684 | + | 0.000342399i | ||||
\(478\) | −17.1959 | + | 29.7842i | −0.786523 | + | 1.36230i | ||||
\(479\) | 8.79794i | 0.401988i | 0.979592 | + | 0.200994i | \(0.0644172\pi\) | ||||
−0.979592 | + | 0.200994i | \(0.935583\pi\) | |||||||
\(480\) | 106.581 | 4.86474 | ||||||||
\(481\) | −6.23907 | − | 25.7809i | −0.284477 | − | 1.17551i | ||||
\(482\) | 5.97981 | − | 10.3573i | 0.272373 | − | 0.471763i | ||||
\(483\) | −14.9807 | − | 8.64911i | −0.681645 | − | 0.393548i | ||||
\(484\) | −59.8799 | −2.72181 | ||||||||
\(485\) | −27.2824 | −1.23883 | ||||||||
\(486\) | −7.34131 | + | 4.23851i | −0.333009 | + | 0.192263i | ||||
\(487\) | − | 0.0756210i | − | 0.00342671i | −0.999999 | − | 0.00171336i | \(-0.999455\pi\) | ||
0.999999 | − | 0.00171336i | \(-0.000545379\pi\) | |||||||
\(488\) | −51.3070 | − | 29.6221i | −2.32256 | − | 1.34093i | ||||
\(489\) | 6.11340 | + | 3.52957i | 0.276457 | + | 0.159613i | ||||
\(490\) | 25.5598 | + | 44.2709i | 1.15467 | + | 1.99996i | ||||
\(491\) | 5.81741 | − | 10.0761i | 0.262536 | − | 0.454726i | −0.704379 | − | 0.709824i | \(-0.748774\pi\) |
0.966915 | + | 0.255098i | \(0.0821078\pi\) | |||||||
\(492\) | 24.8825 | − | 14.3659i | 1.12179 | − | 0.647665i | ||||
\(493\) | 2.88104 | − | 4.99011i | 0.129756 | − | 0.224743i | ||||
\(494\) | 21.6948 | − | 73.7325i | 0.976093 | − | 3.31738i | ||||
\(495\) | −0.534555 | −0.0240265 | ||||||||
\(496\) | −57.9362 | + | 81.8083i | −2.60141 | + | 3.67330i | ||||
\(497\) | −2.15171 | − | 3.72688i | −0.0965176 | − | 0.167173i | ||||
\(498\) | 10.3513 | − | 17.9290i | 0.463854 | − | 0.803419i | ||||
\(499\) | 9.46310 | + | 5.46352i | 0.423626 | + | 0.244581i | 0.696628 | − | 0.717433i | \(-0.254683\pi\) |
−0.273001 | + | 0.962014i | \(0.588016\pi\) | |||||||
\(500\) | 56.3154 | + | 32.5137i | 2.51850 | + | 1.45406i | ||||
\(501\) | 25.8755i | 1.15603i | ||||||||
\(502\) | 30.3597 | + | 17.5282i | 1.35502 | + | 0.782320i | ||||
\(503\) | 3.69582 | + | 6.40134i | 0.164788 | + | 0.285422i | 0.936580 | − | 0.350454i | \(-0.113973\pi\) |
−0.771792 | + | 0.635875i | \(0.780639\pi\) | |||||||
\(504\) | −6.06218 | − | 10.5000i | −0.270031 | − | 0.467707i | ||||
\(505\) | 4.09482 | + | 2.36415i | 0.182217 | + | 0.105203i | ||||
\(506\) | 3.07863 | + | 5.33234i | 0.136862 | + | 0.237051i | ||||
\(507\) | 19.0214 | − | 9.77920i | 0.844769 | − | 0.434310i | ||||
\(508\) | 23.7224 | − | 41.0884i | 1.05251 | − | 1.82300i | ||||
\(509\) | 37.0655 | + | 21.3998i | 1.64290 | + | 0.948529i | 0.979795 | + | 0.200004i | \(0.0640955\pi\) |
0.663106 | + | 0.748525i | \(0.269238\pi\) | |||||||
\(510\) | −29.5871 | −1.31014 | ||||||||
\(511\) | 29.1329 | − | 50.4596i | 1.28876 | − | 2.23220i | ||||
\(512\) | − | 141.737i | − | 6.26397i | ||||||
\(513\) | −35.8221 | + | 20.6819i | −1.58158 | + | 0.913127i | ||||
\(514\) | − | 6.44419i | − | 0.284241i | ||||||
\(515\) | 25.9179 | + | 14.9637i | 1.14208 | + | 0.659381i | ||||
\(516\) | −31.5675 | −1.38968 | ||||||||
\(517\) | −2.59282 | + | 4.49090i | −0.114032 | + | 0.197510i | ||||
\(518\) | −69.3927 | − | 40.0639i | −3.04894 | − | 1.76031i | ||||
\(519\) | −24.2678 | −1.06524 | ||||||||
\(520\) | −58.7349 | − | 61.6687i | −2.57570 | − | 2.70435i | ||||
\(521\) | −7.36532 | + | 12.7571i | −0.322680 | + | 0.558899i | −0.981040 | − | 0.193804i | \(-0.937917\pi\) |
0.658360 | + | 0.752703i | \(0.271251\pi\) | |||||||
\(522\) | −1.41350 | − | 0.816087i | −0.0618674 | − | 0.0357192i | ||||
\(523\) | 7.02257 | + | 12.1634i | 0.307076 | + | 0.531870i | 0.977721 | − | 0.209907i | \(-0.0673162\pi\) |
−0.670646 | + | 0.741778i | \(0.733983\pi\) | |||||||
\(524\) | −39.5034 | − | 68.4218i | −1.72571 | − | 2.98902i | ||||
\(525\) | 0.222444i | 0.00970827i | ||||||||
\(526\) | 67.0601 | + | 38.7172i | 2.92396 | + | 1.68815i | ||||
\(527\) | 9.30082 | − | 13.1332i | 0.405150 | − | 0.572089i | ||||
\(528\) | − | 24.2343i | − | 1.05466i | ||||||
\(529\) | 7.86742 | − | 13.6268i | 0.342062 | − | 0.592468i | ||||
\(530\) | 0.183224 | 0.00795873 | ||||||||
\(531\) | −0.235867 | + | 0.136178i | −0.0102358 | + | 0.00590963i | ||||
\(532\) | −86.3072 | − | 149.488i | −3.74189 | − | 6.48115i | ||||
\(533\) | −10.4214 | − | 3.06636i | −0.451402 | − | 0.132819i | ||||
\(534\) | 29.7650 | − | 51.5545i | 1.28806 | − | 2.23098i | ||||
\(535\) | 13.1462 | − | 7.58995i | 0.568359 | − | 0.328142i | ||||
\(536\) | −25.9797 | + | 44.9981i | −1.12215 | + | 1.94362i | ||||
\(537\) | −35.9283 | −1.55042 | ||||||||
\(538\) | 42.9957 | − | 24.8236i | 1.85367 | − | 1.07022i | ||||
\(539\) | 5.82128 | − | 3.36092i | 0.250740 | − | 0.144765i | ||||
\(540\) | 69.9800i | 3.01146i | ||||||||
\(541\) | 18.2666 | + | 10.5462i | 0.785343 | + | 0.453418i | 0.838320 | − | 0.545178i | \(-0.183538\pi\) |
−0.0529778 | + | 0.998596i | \(0.516871\pi\) | |||||||
\(542\) | −27.1561 | + | 47.0357i | −1.16645 | + | 2.02036i | ||||
\(543\) | 2.07314 | + | 3.59079i | 0.0889671 | + | 0.154096i | ||||
\(544\) | 84.0304i | 3.60277i | ||||||||
\(545\) | 1.92561 | + | 3.33525i | 0.0824839 | + | 0.142866i | ||||
\(546\) | 18.2373 | − | 61.9820i | 0.780485 | − | 2.65258i | ||||
\(547\) | −4.51263 | − | 7.81611i | −0.192946 | − | 0.334193i | 0.753279 | − | 0.657701i | \(-0.228471\pi\) |
−0.946225 | + | 0.323508i | \(0.895138\pi\) | |||||||
\(548\) | 3.84970 | + | 2.22262i | 0.164451 | + | 0.0949458i | ||||
\(549\) | 0.819422 | − | 1.41928i | 0.0349721 | − | 0.0605735i | ||||
\(550\) | 0.0395892 | − | 0.0685705i | 0.00168809 | − | 0.00292386i | ||||
\(551\) | −13.1803 | − | 7.60966i | −0.561501 | − | 0.324183i | ||||
\(552\) | 40.7087 | − | 23.5032i | 1.73268 | − | 1.00036i | ||||
\(553\) | 28.2278i | 1.20037i | ||||||||
\(554\) | − | 78.9408i | − | 3.35387i | ||||||
\(555\) | 13.4852 | + | 23.3570i | 0.572414 | + | 0.991449i | ||||
\(556\) | 20.8046 | + | 36.0346i | 0.882312 | + | 1.52821i | ||||
\(557\) | −7.45078 | + | 4.30171i | −0.315699 | + | 0.182269i | −0.649474 | − | 0.760384i | \(-0.725011\pi\) |
0.333775 | + | 0.942653i | \(0.391678\pi\) | |||||||
\(558\) | −3.72011 | − | 2.63456i | −0.157485 | − | 0.111530i | ||||
\(559\) | 8.23145 | + | 8.64260i | 0.348153 | + | 0.365543i | ||||
\(560\) | −156.499 | −6.61329 | ||||||||
\(561\) | 3.89047i | 0.164256i | ||||||||
\(562\) | −18.8882 | − | 32.7154i | −0.796752 | − | 1.38002i | ||||
\(563\) | 13.4407 | 0.566458 | 0.283229 | − | 0.959052i | \(-0.408594\pi\) | ||||
0.283229 | + | 0.959052i | \(0.408594\pi\) | |||||||
\(564\) | 52.3471 | + | 30.2226i | 2.20421 | + | 1.27260i | ||||
\(565\) | 2.46635 | − | 1.42395i | 0.103760 | − | 0.0599059i | ||||
\(566\) | 8.07592 | + | 4.66263i | 0.339456 | + | 0.195985i | ||||
\(567\) | −27.1415 | + | 15.6702i | −1.13984 | + | 0.658084i | ||||
\(568\) | 11.6942 | 0.490676 | ||||||||
\(569\) | 18.0744 | − | 31.3058i | 0.757719 | − | 1.31241i | −0.186292 | − | 0.982494i | \(-0.559647\pi\) |
0.944011 | − | 0.329914i | \(-0.107020\pi\) | |||||||
\(570\) | 78.1480i | 3.27326i | ||||||||
\(571\) | 10.4306 | + | 18.0663i | 0.436506 | + | 0.756050i | 0.997417 | − | 0.0718256i | \(-0.0228825\pi\) |
−0.560911 | + | 0.827876i | \(0.689549\pi\) | |||||||
\(572\) | −12.3810 | + | 11.7920i | −0.517674 | + | 0.493047i | ||||
\(573\) | −18.5808 | −0.776225 | ||||||||
\(574\) | −28.4193 | + | 16.4079i | −1.18620 | + | 0.684851i | ||||
\(575\) | 0.0934255 | 0.00389611 | ||||||||
\(576\) | 13.2438 | 0.551824 | ||||||||
\(577\) | 5.10654 | + | 2.94826i | 0.212588 | + | 0.122738i | 0.602514 | − | 0.798109i | \(-0.294166\pi\) |
−0.389925 | + | 0.920846i | \(0.627499\pi\) | |||||||
\(578\) | 24.1403i | 1.00410i | ||||||||
\(579\) | 19.8017i | 0.822932i | ||||||||
\(580\) | −22.2987 | + | 12.8742i | −0.925904 | + | 0.534571i | ||||
\(581\) | −8.78977 | + | 15.2243i | −0.364661 | + | 0.631612i | ||||
\(582\) | 56.2443 | 2.33140 | ||||||||
\(583\) | − | 0.0240925i | − | 0.000997809i | ||||||
\(584\) | 79.1658 | + | 137.119i | 3.27591 | + | 5.67403i | ||||
\(585\) | 1.70591 | − | 1.62476i | 0.0705307 | − | 0.0671754i | ||||
\(586\) | −28.1204 | + | 48.7060i | −1.16164 | + | 2.01202i | ||||
\(587\) | −14.2858 | + | 8.24793i | −0.589639 | + | 0.340428i | −0.764955 | − | 0.644084i | \(-0.777239\pi\) |
0.175315 | + | 0.984512i | \(0.443905\pi\) | |||||||
\(588\) | −39.1757 | − | 67.8543i | −1.61558 | − | 2.79827i | ||||
\(589\) | −34.6885 | − | 24.5662i | −1.42931 | − | 1.01223i | ||||
\(590\) | 5.77907i | 0.237920i | ||||||||
\(591\) | −35.7111 | − | 20.6178i | −1.46896 | − | 0.848103i | ||||
\(592\) | 114.710 | − | 66.2278i | 4.71455 | − | 2.72195i | ||||
\(593\) | − | 20.4711i | − | 0.840647i | −0.907374 | − | 0.420324i | \(-0.861917\pi\) | ||
0.907374 | − | 0.420324i | \(-0.138083\pi\) | |||||||
\(594\) | 12.3769 | 0.507830 | ||||||||
\(595\) | 25.1237 | 1.02997 | ||||||||
\(596\) | 29.5169i | 1.20906i | ||||||||
\(597\) | −11.9003 | −0.487047 | ||||||||
\(598\) | −26.0321 | − | 7.65958i | −1.06453 | − | 0.313224i | ||||
\(599\) | −16.0055 | − | 27.7223i | −0.653965 | − | 1.13270i | −0.982152 | − | 0.188088i | \(-0.939771\pi\) |
0.328187 | − | 0.944613i | \(-0.393562\pi\) | |||||||
\(600\) | −0.523488 | − | 0.302236i | −0.0213713 | − | 0.0123387i | ||||
\(601\) | 31.6612 | 1.29149 | 0.645744 | − | 0.763554i | \(-0.276547\pi\) | ||||
0.645744 | + | 0.763554i | \(0.276547\pi\) | |||||||
\(602\) | 36.0545 | 1.46947 | ||||||||
\(603\) | −1.24476 | − | 0.718663i | −0.0506906 | − | 0.0292662i | ||||
\(604\) | 74.1620 | + | 42.8174i | 3.01761 | + | 1.74222i | ||||
\(605\) | −19.9358 | − | 11.5099i | −0.810506 | − | 0.467946i | ||||
\(606\) | −8.44173 | − | 4.87383i | −0.342922 | − | 0.197986i | ||||
\(607\) | −39.8278 | −1.61656 | −0.808281 | − | 0.588797i | \(-0.799602\pi\) | ||||
−0.808281 | + | 0.588797i | \(0.799602\pi\) | |||||||
\(608\) | 221.949 | 9.00120 | ||||||||
\(609\) | −11.0798 | − | 6.39693i | −0.448976 | − | 0.259217i | ||||
\(610\) | −17.3871 | − | 30.1154i | −0.703985 | − | 1.21934i | ||||
\(611\) | −5.37549 | − | 22.2124i | −0.217469 | − | 0.898619i | ||||
\(612\) | −4.91255 | −0.198578 | ||||||||
\(613\) | − | 43.5589i | − | 1.75933i | −0.475596 | − | 0.879664i | \(-0.657768\pi\) | ||
0.475596 | − | 0.879664i | \(-0.342232\pi\) | |||||||
\(614\) | −72.5846 | −2.92928 | ||||||||
\(615\) | 11.0455 | 0.445398 | ||||||||
\(616\) | 33.8282i | 1.36298i | ||||||||
\(617\) | −21.2348 | + | 12.2599i | −0.854880 | + | 0.493565i | −0.862295 | − | 0.506407i | \(-0.830973\pi\) |
0.00741416 | + | 0.999973i | \(0.497640\pi\) | |||||||
\(618\) | −53.4315 | − | 30.8487i | −2.14933 | − | 1.24092i | ||||
\(619\) | 20.4848i | 0.823354i | 0.911330 | + | 0.411677i | \(0.135057\pi\) | ||||
−0.911330 | + | 0.411677i | \(0.864943\pi\) | |||||||
\(620\) | −65.3366 | + | 30.0434i | −2.62398 | + | 1.20657i | ||||
\(621\) | 7.30197 | + | 12.6474i | 0.293018 | + | 0.507522i | ||||
\(622\) | 70.0506 | − | 40.4438i | 2.80877 | − | 1.62165i | ||||
\(623\) | −25.2748 | + | 43.7772i | −1.01261 | + | 1.75390i | ||||
\(624\) | 73.6590 | + | 77.3382i | 2.94872 | + | 3.09600i | ||||
\(625\) | 12.4127 | + | 21.4995i | 0.496510 | + | 0.859980i | ||||
\(626\) | 35.4645i | 1.41744i | ||||||||
\(627\) | 10.2759 | 0.410378 | ||||||||
\(628\) | 19.4825 | − | 33.7446i | 0.777434 | − | 1.34656i | ||||
\(629\) | −18.4150 | + | 10.6319i | −0.734256 | + | 0.423923i | ||||
\(630\) | − | 7.11657i | − | 0.283531i | ||||||
\(631\) | − | 22.0562i | − | 0.878044i | −0.898476 | − | 0.439022i | \(-0.855325\pi\) | ||
0.898476 | − | 0.439022i | \(-0.144675\pi\) | |||||||
\(632\) | −66.4297 | − | 38.3532i | −2.64243 | − | 1.52561i | ||||
\(633\) | 3.94063 | 0.156626 | ||||||||
\(634\) | 32.0562 | 1.27311 | ||||||||
\(635\) | 15.7958 | − | 9.11970i | 0.626837 | − | 0.361904i | ||||
\(636\) | −0.280828 | −0.0111356 | ||||||||
\(637\) | −8.36192 | + | 28.4191i | −0.331311 | + | 1.12601i | ||||
\(638\) | 2.27697 | + | 3.94382i | 0.0901460 | + | 0.156138i | ||||
\(639\) | 0.323490i | 0.0127971i | ||||||||
\(640\) | 75.7263 | − | 131.162i | 2.99335 | − | 5.18463i | ||||
\(641\) | 30.8806 | 1.21971 | 0.609855 | − | 0.792513i | \(-0.291228\pi\) | ||||
0.609855 | + | 0.792513i | \(0.291228\pi\) | |||||||
\(642\) | −27.1017 | + | 15.6471i | −1.06962 | + | 0.617544i | ||||
\(643\) | −24.1644 | − | 13.9513i | −0.952952 | − | 0.550187i | −0.0589550 | − | 0.998261i | \(-0.518777\pi\) |
−0.893997 | + | 0.448074i | \(0.852110\pi\) | |||||||
\(644\) | −52.7786 | + | 30.4717i | −2.07977 | + | 1.20076i | ||||
\(645\) | −10.5098 | − | 6.06782i | −0.413822 | − | 0.238920i | ||||
\(646\) | −61.6132 | −2.42414 | ||||||||
\(647\) | 20.4035 | + | 35.3398i | 0.802143 | + | 1.38935i | 0.918203 | + | 0.396110i | \(0.129640\pi\) |
−0.116061 | + | 0.993242i | \(0.537027\pi\) | |||||||
\(648\) | − | 85.1644i | − | 3.34557i | ||||||
\(649\) | 0.759902 | 0.0298288 | ||||||||
\(650\) | 0.0820771 | + | 0.339157i | 0.00321933 | + | 0.0133028i | ||||
\(651\) | −29.1602 | − | 20.6511i | −1.14288 | − | 0.809381i | ||||
\(652\) | 21.5382 | − | 12.4351i | 0.843500 | − | 0.486995i | ||||
\(653\) | 14.3266 | + | 24.8143i | 0.560642 | + | 0.971060i | 0.997441 | + | 0.0715006i | \(0.0227788\pi\) |
−0.436799 | + | 0.899559i | \(0.643888\pi\) | |||||||
\(654\) | −3.96976 | − | 6.87582i | −0.155230 | − | 0.268866i | ||||
\(655\) | − | 30.3729i | − | 1.18677i | ||||||
\(656\) | − | 54.2463i | − | 2.11796i | ||||||
\(657\) | −3.79306 | + | 2.18993i | −0.147981 | + | 0.0854371i | ||||
\(658\) | −59.7876 | − | 34.5184i | −2.33076 | − | 1.34567i | ||||
\(659\) | −23.6845 | + | 41.0228i | −0.922618 | + | 1.59802i | −0.127271 | + | 0.991868i | \(0.540622\pi\) |
−0.795347 | + | 0.606154i | \(0.792712\pi\) | |||||||
\(660\) | 8.69245 | − | 15.0558i | 0.338353 | − | 0.586045i | ||||
\(661\) | −39.0919 | − | 22.5697i | −1.52050 | − | 0.877861i | −0.999708 | − | 0.0241770i | \(-0.992303\pi\) |
−0.520792 | − | 0.853684i | \(-0.674363\pi\) | |||||||
\(662\) | 18.0728 | + | 31.3031i | 0.702421 | + | 1.21663i | ||||
\(663\) | −11.8249 | − | 12.4155i | −0.459241 | − | 0.482179i | ||||
\(664\) | −23.8854 | − | 41.3707i | −0.926933 | − | 1.60549i | ||||
\(665\) | − | 66.3589i | − | 2.57329i | ||||||
\(666\) | 3.01161 | + | 5.21627i | 0.116698 | + | 0.202126i | ||||
\(667\) | −2.68668 | + | 4.65346i | −0.104029 | + | 0.180183i | ||||
\(668\) | 78.9487 | + | 45.5810i | 3.05462 | + | 1.76358i | ||||
\(669\) | − | 26.8525i | − | 1.03818i | ||||||
\(670\) | −26.4123 | + | 15.2492i | −1.02040 | + | 0.589126i | ||||
\(671\) | −3.95994 | + | 2.28627i | −0.152872 | + | 0.0882606i | ||||
\(672\) | 186.577 | 7.19737 | ||||||||
\(673\) | 4.55074 | − | 7.88212i | 0.175418 | − | 0.303833i | −0.764888 | − | 0.644164i | \(-0.777206\pi\) |
0.940306 | + | 0.340330i | \(0.110539\pi\) | |||||||
\(674\) | 49.0366 | − | 28.3113i | 1.88882 | − | 1.09051i | ||||
\(675\) | 0.0938989 | − | 0.162638i | 0.00361417 | − | 0.00625992i | ||||
\(676\) | 3.66983 | − | 75.2627i | 0.141147 | − | 2.89472i | ||||
\(677\) | −6.41591 | − | 11.1127i | −0.246584 | − | 0.427095i | 0.715992 | − | 0.698108i | \(-0.245975\pi\) |
−0.962576 | + | 0.271013i | \(0.912641\pi\) | |||||||
\(678\) | −5.08453 | + | 2.93556i | −0.195270 | + | 0.112739i | ||||
\(679\) | −47.7596 | −1.83284 | ||||||||
\(680\) | −34.1356 | + | 59.1247i | −1.30904 | + | 2.26733i | ||||
\(681\) | 1.11591i | 0.0427618i | ||||||||
\(682\) | 5.31356 | + | 11.5556i | 0.203467 | + | 0.442489i | ||||
\(683\) | −32.2332 | − | 18.6098i | −1.23337 | − | 0.712086i | −0.265638 | − | 0.964073i | \(-0.585583\pi\) |
−0.967731 | + | 0.251987i | \(0.918916\pi\) | |||||||
\(684\) | 12.9755i | 0.496130i | ||||||||
\(685\) | 0.854454 | + | 1.47996i | 0.0326470 | + | 0.0565463i | ||||
\(686\) | 6.62302 | + | 11.4714i | 0.252868 | + | 0.437980i | ||||
\(687\) | −8.68537 | − | 5.01450i | −0.331367 | − | 0.191315i | ||||
\(688\) | −29.8000 | + | 51.6152i | −1.13612 | + | 1.96781i | ||||
\(689\) | 0.0732280 | + | 0.0768856i | 0.00278976 | + | 0.00292911i | ||||
\(690\) | 27.5910 | 1.05037 | ||||||||
\(691\) | −33.0260 | − | 19.0676i | −1.25637 | − | 0.725365i | −0.284002 | − | 0.958824i | \(-0.591662\pi\) |
−0.972367 | + | 0.233459i | \(0.924996\pi\) | |||||||
\(692\) | −42.7491 | + | 74.0436i | −1.62508 | + | 2.81472i | ||||
\(693\) | −0.935773 | −0.0355471 | ||||||||
\(694\) | −65.3680 | − | 37.7402i | −2.48134 | − | 1.43260i | ||||
\(695\) | 15.9960i | 0.606764i | ||||||||
\(696\) | 30.1084 | − | 17.3831i | 1.14125 | − | 0.658903i | ||||
\(697\) | 8.70846i | 0.329856i | ||||||||
\(698\) | 11.6160 | − | 20.1195i | 0.439672 | − | 0.761534i | ||||
\(699\) | 8.47736 | 0.320643 | ||||||||
\(700\) | 0.678700 | + | 0.391848i | 0.0256525 | + | 0.0148105i | ||||
\(701\) | 8.69665 | − | 15.0630i | 0.328468 | − | 0.568923i | −0.653740 | − | 0.756719i | \(-0.726801\pi\) |
0.982208 | + | 0.187796i | \(0.0601344\pi\) | |||||||
\(702\) | −39.4980 | + | 37.6190i | −1.49076 | + | 1.41984i | ||||
\(703\) | 28.0820 | + | 48.6395i | 1.05913 | + | 1.83447i | ||||
\(704\) | −32.0009 | − | 18.4758i | −1.20608 | − | 0.696331i | ||||
\(705\) | 11.6186 | + | 20.1240i | 0.437582 | + | 0.757914i | ||||
\(706\) | 1.95538 | + | 3.38682i | 0.0735918 | + | 0.127465i | ||||
\(707\) | 7.16825 | + | 4.13859i | 0.269590 | + | 0.155648i | ||||
\(708\) | − | 8.85761i | − | 0.332890i | ||||||
\(709\) | −17.9716 | − | 10.3759i | −0.674936 | − | 0.389675i | 0.123008 | − | 0.992406i | \(-0.460746\pi\) |
−0.797944 | + | 0.602731i | \(0.794079\pi\) | |||||||
\(710\) | 5.94445 | + | 3.43203i | 0.223091 | + | 0.128802i | ||||
\(711\) | 1.06095 | − | 1.83761i | 0.0397886 | − | 0.0689159i | ||||
\(712\) | −68.6819 | − | 118.961i | −2.57396 | − | 4.45823i | ||||
\(713\) | −8.67336 | + | 12.2472i | −0.324820 | + | 0.458660i | ||||
\(714\) | −51.7940 | −1.93834 | ||||||||
\(715\) | −6.38861 | + | 1.54607i | −0.238921 | + | 0.0578196i | ||||
\(716\) | −63.2896 | + | 109.621i | −2.36524 | + | 4.09672i | ||||
\(717\) | 17.5496 | − | 10.1323i | 0.655402 | − | 0.378397i | ||||
\(718\) | 8.00418 | − | 13.8636i | 0.298713 | − | 0.517387i | ||||
\(719\) | −17.7786 | − | 30.7935i | −0.663032 | − | 1.14840i | −0.979815 | − | 0.199906i | \(-0.935936\pi\) |
0.316783 | − | 0.948498i | \(-0.397397\pi\) | |||||||
\(720\) | 10.1880 | + | 5.88204i | 0.379684 | + | 0.219211i | ||||
\(721\) | 45.3710 | + | 26.1950i | 1.68971 | + | 0.975552i | ||||
\(722\) | 109.687i | 4.08212i | ||||||||
\(723\) | −6.10280 | + | 3.52345i | −0.226966 | + | 0.131039i | ||||
\(724\) | 14.6078 | 0.542895 | ||||||||
\(725\) | 0.0690980 | 0.00256624 | ||||||||
\(726\) | 41.0989 | + | 23.7285i | 1.52532 | + | 0.880646i | ||||
\(727\) | 5.68338 | − | 9.84391i | 0.210785 | − | 0.365090i | −0.741175 | − | 0.671311i | \(-0.765731\pi\) |
0.951960 | + | 0.306221i | \(0.0990647\pi\) | |||||||
\(728\) | −102.819 | − | 107.955i | −3.81074 | − | 4.00108i | ||||
\(729\) | 29.0979 | 1.07770 | ||||||||
\(730\) | 92.9351i | 3.43968i | ||||||||
\(731\) | 4.78397 | − | 8.28607i | 0.176941 | − | 0.306471i | ||||
\(732\) | 26.6494 | + | 46.1581i | 0.984990 | + | 1.70605i | ||||
\(733\) | 35.1526 | − | 20.2954i | 1.29839 | − | 0.749627i | 0.318265 | − | 0.948002i | \(-0.396900\pi\) |
0.980126 | + | 0.198375i | \(0.0635665\pi\) | |||||||
\(734\) | − | 93.8450i | − | 3.46388i | ||||||
\(735\) | − | 30.1210i | − | 1.11103i | ||||||
\(736\) | − | 78.3615i | − | 2.88844i | ||||||
\(737\) | 2.00515 | + | 3.47301i | 0.0738605 | + | 0.127930i | ||||
\(738\) | 2.46677 | 0.0908030 | ||||||||
\(739\) | 34.3947 | + | 19.8578i | 1.26523 | + | 0.730481i | 0.974082 | − | 0.226196i | \(-0.0726290\pi\) |
0.291149 | + | 0.956678i | \(0.405962\pi\) | |||||||
\(740\) | 95.0194 | 3.49298 | ||||||||
\(741\) | −32.7930 | + | 31.2330i | −1.20468 | + | 1.14737i | ||||
\(742\) | 0.320745 | 0.0117749 | ||||||||
\(743\) | 45.1017 | − | 26.0395i | 1.65462 | − | 0.955295i | 0.679483 | − | 0.733692i | \(-0.262204\pi\) |
0.975137 | − | 0.221603i | \(-0.0711290\pi\) | |||||||
\(744\) | 88.2193 | − | 40.5654i | 3.23428 | − | 1.48720i | ||||
\(745\) | −5.67365 | + | 9.82705i | −0.207867 | + | 0.360035i | ||||
\(746\) | 35.1271i | 1.28609i | ||||||||
\(747\) | 1.14442 | − | 0.660730i | 0.0418721 | − | 0.0241748i | ||||
\(748\) | 11.8702 | + | 6.85327i | 0.434018 | + | 0.250580i | ||||
\(749\) | 23.0132 | − | 13.2867i | 0.840885 | − | 0.485485i | ||||
\(750\) | −25.7683 | − | 44.6320i | −0.940925 | − | 1.62973i | ||||
\(751\) | 49.8245 | 1.81812 | 0.909060 | − | 0.416665i | \(-0.136801\pi\) | ||||
0.909060 | + | 0.416665i | \(0.136801\pi\) | |||||||
\(752\) | 98.8323 | − | 57.0609i | 3.60404 | − | 2.08080i | ||||
\(753\) | −10.3280 | − | 17.8887i | −0.376375 | − | 0.651900i | ||||
\(754\) | −19.2535 | − | 5.66507i | −0.701171 | − | 0.206310i | ||||
\(755\) | 16.4605 | + | 28.5104i | 0.599059 | + | 1.03760i | ||||
\(756\) | 122.504i | 4.45545i | ||||||||
\(757\) | −15.2018 | + | 26.3303i | −0.552519 | + | 0.956991i | 0.445573 | + | 0.895246i | \(0.353000\pi\) |
−0.998092 | + | 0.0617456i | \(0.980333\pi\) | |||||||
\(758\) | 2.63611 | + | 4.56587i | 0.0957477 | + | 0.165840i | ||||
\(759\) | − | 3.62801i | − | 0.131688i | ||||||
\(760\) | 156.165 | + | 90.1621i | 5.66471 | + | 3.27052i | ||||
\(761\) | 18.9948 | − | 10.9666i | 0.688559 | − | 0.397540i | −0.114513 | − | 0.993422i | \(-0.536531\pi\) |
0.803072 | + | 0.595882i | \(0.203197\pi\) | |||||||
\(762\) | −32.5640 | + | 18.8008i | −1.17967 | + | 0.681082i | ||||
\(763\) | 3.37090 | + | 5.83857i | 0.122035 | + | 0.211370i | ||||
\(764\) | −32.7311 | + | 56.6920i | −1.18417 | + | 2.05104i | ||||
\(765\) | −1.63554 | − | 0.944278i | −0.0591330 | − | 0.0341404i | ||||
\(766\) | −22.8302 | − | 39.5431i | −0.824889 | − | 1.42875i | ||||
\(767\) | −2.42505 | + | 2.30969i | −0.0875636 | + | 0.0833980i | ||||
\(768\) | −81.8059 | + | 141.692i | −2.95192 | + | 5.11287i | ||||
\(769\) | 18.9110i | 0.681948i | 0.940073 | + | 0.340974i | \(0.110757\pi\) | ||||
−0.940073 | + | 0.340974i | \(0.889243\pi\) | |||||||
\(770\) | −9.92798 | + | 17.1958i | −0.357780 | + | 0.619692i | ||||
\(771\) | −1.89854 | + | 3.28837i | −0.0683743 | + | 0.118428i | ||||
\(772\) | 60.4171 | + | 34.8818i | 2.17446 | + | 1.25542i | ||||
\(773\) | −17.2396 | − | 9.95326i | −0.620064 | − | 0.357994i | 0.156830 | − | 0.987626i | \(-0.449873\pi\) |
−0.776894 | + | 0.629632i | \(0.783206\pi\) | |||||||
\(774\) | −2.34712 | − | 1.35511i | −0.0843656 | − | 0.0487085i | ||||
\(775\) | 0.192158 | + | 0.0178459i | 0.00690253 | + | 0.000641044i | ||||
\(776\) | 64.8911 | − | 112.395i | 2.32945 | − | 4.03473i | ||||
\(777\) | 23.6067 | + | 40.8879i | 0.846884 | + | 1.46685i | ||||
\(778\) | 23.6162i | 0.846683i | ||||||||
\(779\) | 23.0016 | 0.824117 | ||||||||
\(780\) | 18.0213 | + | 74.4673i | 0.645268 | + | 2.66636i | ||||
\(781\) | 0.451285 | − | 0.781649i | 0.0161483 | − | 0.0279696i | ||||
\(782\) | 21.7532i | 0.777894i | ||||||||
\(783\) | 5.40058 | + | 9.35408i | 0.193001 | + | 0.334287i | ||||
\(784\) | −147.929 | −5.28318 | ||||||||
\(785\) | 12.9726 | − | 7.48973i | 0.463011 | − | 0.267320i | ||||
\(786\) | 62.6157i | 2.23343i | ||||||||
\(787\) | 6.00833 | − | 3.46891i | 0.214174 | − | 0.123653i | −0.389076 | − | 0.921206i | \(-0.627206\pi\) |
0.603250 | + | 0.797552i | \(0.293872\pi\) | |||||||
\(788\) | −125.814 | + | 72.6387i | −4.48194 | + | 2.58765i | ||||
\(789\) | −22.8131 | − | 39.5135i | −0.812170 | − | 1.40672i | ||||
\(790\) | −22.5120 | − | 38.9919i | −0.800941 | − | 1.38727i | ||||
\(791\) | 4.31750 | − | 2.49271i | 0.153513 | − | 0.0886306i | ||||
\(792\) | 1.27144 | − | 2.20220i | 0.0451786 | − | 0.0782516i | ||||
\(793\) | 5.68822 | − | 19.3322i | 0.201995 | − | 0.686506i | ||||
\(794\) | −5.94720 | + | 10.3009i | −0.211058 | + | 0.365564i | ||||
\(795\) | −0.0934961 | − | 0.0539800i | −0.00331597 | − | 0.00191447i | ||||
\(796\) | −20.9630 | + | 36.3090i | −0.743014 | + | 1.28694i | ||||
\(797\) | −31.9548 | −1.13190 | −0.565948 | − | 0.824441i | \(-0.691490\pi\) | ||||
−0.565948 | + | 0.824441i | \(0.691490\pi\) | |||||||
\(798\) | 136.803i | 4.84278i | ||||||||
\(799\) | −15.8661 | + | 9.16030i | −0.561303 | + | 0.324068i | ||||
\(800\) | −0.872677 | + | 0.503840i | −0.0308538 | + | 0.0178134i | ||||
\(801\) | 3.29075 | − | 1.89991i | 0.116273 | − | 0.0671301i | ||||
\(802\) | −24.1044 | + | 41.7501i | −0.851157 | + | 1.47425i | ||||
\(803\) | 12.2202 | 0.431243 | ||||||||
\(804\) | 40.4823 | − | 23.3725i | 1.42770 | − | 0.824284i | ||||
\(805\) | −23.4288 | −0.825756 | ||||||||
\(806\) | −52.0799 | − | 20.7269i | −1.83444 | − | 0.730072i | ||||
\(807\) | −29.2533 | −1.02977 | ||||||||
\(808\) | −19.4790 | + | 11.2462i | −0.685270 | + | 0.395641i | ||||
\(809\) | 8.07625 | 0.283946 | 0.141973 | − | 0.989871i | \(-0.454655\pi\) | ||||
0.141973 | + | 0.989871i | \(0.454655\pi\) | |||||||
\(810\) | 24.9942 | − | 43.2913i | 0.878208 | − | 1.52110i | ||||
\(811\) | −29.9164 | + | 17.2722i | −1.05051 | + | 0.606511i | −0.922791 | − | 0.385300i | \(-0.874098\pi\) |
−0.127716 | + | 0.991811i | \(0.540765\pi\) | |||||||
\(812\) | −39.0354 | + | 22.5371i | −1.36987 | + | 0.790896i | ||||
\(813\) | 27.7146 | − | 16.0010i | 0.971994 | − | 0.561181i | ||||
\(814\) | − | 16.8054i | − | 0.589030i | ||||||
\(815\) | 9.56093 | 0.334905 | ||||||||
\(816\) | 42.8092 | − | 74.1478i | 1.49862 | − | 2.59569i | ||||
\(817\) | −21.8859 | − | 12.6358i | −0.765691 | − | 0.442072i | ||||
\(818\) | −8.79312 | + | 15.2301i | −0.307444 | + | 0.532509i | ||||
\(819\) | 2.98630 | − | 2.84424i | 0.104350 | − | 0.0993858i | ||||
\(820\) | 19.4573 | − | 33.7010i | 0.679477 | − | 1.17689i | ||||
\(821\) | 47.7345 | − | 27.5595i | 1.66594 | − | 0.961834i | 0.696155 | − | 0.717892i | \(-0.254893\pi\) |
0.969790 | − | 0.243942i | \(-0.0784406\pi\) | |||||||
\(822\) | −1.76151 | − | 3.05102i | −0.0614397 | − | 0.106417i | ||||
\(823\) | −15.9729 | − | 27.6658i | −0.556779 | − | 0.964370i | −0.997763 | − | 0.0668547i | \(-0.978704\pi\) |
0.440983 | − | 0.897515i | \(-0.354630\pi\) | |||||||
\(824\) | −123.292 | + | 71.1824i | −4.29507 | + | 2.47976i | ||||
\(825\) | −0.0404035 | + | 0.0233270i | −0.00140667 | + | 0.000812141i | ||||
\(826\) | 10.1166i | 0.352002i | ||||||||
\(827\) | 27.1749 | − | 15.6895i | 0.944966 | − | 0.545576i | 0.0534521 | − | 0.998570i | \(-0.482978\pi\) |
0.891513 | + | 0.452994i | \(0.149644\pi\) | |||||||
\(828\) | 4.58114 | 0.159206 | ||||||||
\(829\) | 4.01289 | + | 6.95053i | 0.139373 | + | 0.241402i | 0.927260 | − | 0.374419i | \(-0.122158\pi\) |
−0.787886 | + | 0.615821i | \(0.788825\pi\) | |||||||
\(830\) | − | 28.0398i | − | 0.973274i | ||||||
\(831\) | −23.2570 | + | 40.2822i | −0.806775 | + | 1.39737i | ||||
\(832\) | 158.280 | − | 38.3043i | 5.48737 | − | 1.32796i | ||||
\(833\) | 23.7479 | 0.822815 | ||||||||
\(834\) | − | 32.9768i | − | 1.14189i | ||||||
\(835\) | 17.5229 | + | 30.3506i | 0.606406 | + | 1.05033i | ||||
\(836\) | 18.1015 | − | 31.3527i | 0.626053 | − | 1.08435i | ||||
\(837\) | 12.6029 | + | 27.4080i | 0.435619 | + | 0.947360i | ||||
\(838\) | −23.3697 | − | 13.4925i | −0.807294 | − | 0.466091i | ||||
\(839\) | 35.2538 | + | 20.3538i | 1.21710 | + | 0.702691i | 0.964296 | − | 0.264827i | \(-0.0853148\pi\) |
0.252801 | + | 0.967518i | \(0.418648\pi\) | |||||||
\(840\) | 131.278 | + | 75.7932i | 4.52951 | + | 2.61511i | ||||
\(841\) | 12.5129 | − | 21.6730i | 0.431480 | − | 0.747345i | ||||
\(842\) | −44.7757 | + | 77.5538i | −1.54307 | + | 2.67268i | ||||
\(843\) | 22.2589i | 0.766636i | ||||||||
\(844\) | 6.94163 | − | 12.0233i | 0.238941 | − | 0.413858i | ||||
\(845\) | 15.6886 | − | 24.3518i | 0.539704 | − | 0.837728i | ||||
\(846\) | 2.59476 | + | 4.49425i | 0.0892097 | + | 0.154516i | ||||
\(847\) | −34.8989 | − | 20.1489i | −1.19914 | − | 0.692324i | ||||
\(848\) | −0.265105 | + | 0.459175i | −0.00910373 | + | 0.0157681i | ||||
\(849\) | −2.74734 | − | 4.75853i | −0.0942885 | − | 0.163312i | ||||
\(850\) | 0.242256 | − | 0.139867i | 0.00830931 | − | 0.00479738i | ||||
\(851\) | 17.1727 | − | 9.91468i | 0.588673 | − | 0.339871i | ||||
\(852\) | −9.11110 | − | 5.26030i | −0.312141 | − | 0.180215i | ||||
\(853\) | 0.401270i | 0.0137392i | 0.999976 | + | 0.00686961i | \(0.00218668\pi\) | ||||
−0.999976 | + | 0.00686961i | \(0.997813\pi\) | |||||||
\(854\) | −30.4373 | − | 52.7190i | −1.04154 | − | 1.80401i | ||||
\(855\) | −2.49411 | + | 4.31993i | −0.0852968 | + | 0.147738i | ||||
\(856\) | 72.2107i | 2.46811i | ||||||||
\(857\) | −6.88171 | − | 11.9195i | −0.235075 | − | 0.407162i | 0.724220 | − | 0.689569i | \(-0.242200\pi\) |
−0.959294 | + | 0.282408i | \(0.908867\pi\) | |||||||
\(858\) | 13.1705 | − | 3.18731i | 0.449634 | − | 0.108813i | ||||
\(859\) | −25.7644 | − | 44.6252i | −0.879069 | − | 1.52259i | −0.852364 | − | 0.522949i | \(-0.824832\pi\) |
−0.0267051 | − | 0.999643i | \(-0.508502\pi\) | |||||||
\(860\) | −37.0270 | + | 21.3776i | −1.26261 | + | 0.728969i | ||||
\(861\) | 19.3359 | 0.658965 | ||||||||
\(862\) | 20.5027 | + | 35.5117i | 0.698323 | + | 1.20953i | ||||
\(863\) | 9.85383 | − | 5.68911i | 0.335428 | − | 0.193660i | −0.322820 | − | 0.946460i | \(-0.604631\pi\) |
0.658249 | + | 0.752801i | \(0.271298\pi\) | |||||||
\(864\) | −136.414 | − | 78.7585i | −4.64089 | − | 2.67942i | ||||
\(865\) | −28.4649 | + | 16.4342i | −0.967837 | + | 0.558781i | ||||
\(866\) | 14.4561i | 0.491239i | ||||||||
\(867\) | 7.11203 | − | 12.3184i | 0.241537 | − | 0.418355i | ||||
\(868\) | −114.376 | + | 52.5928i | −3.88217 | + | 1.78512i | ||||
\(869\) | −5.12713 | + | 2.96015i | −0.173926 | + | 0.100416i | ||||
\(870\) | 20.4065 | 0.691845 | ||||||||
\(871\) | −16.9550 | − | 4.98878i | −0.574499 | − | 0.169038i | ||||
\(872\) | −18.3202 | −0.620400 | ||||||||
\(873\) | 3.10912 | + | 1.79505i | 0.105228 | + | 0.0607533i | ||||
\(874\) | 57.4566 | 1.94350 | ||||||||
\(875\) | 21.8810 | + | 37.8990i | 0.739713 | + | 1.28122i | ||||
\(876\) | − | 142.442i | − | 4.81268i | ||||||
\(877\) | − | 21.3133i | − | 0.719699i | −0.933010 | − | 0.359850i | \(-0.882828\pi\) | ||
0.933010 | − | 0.359850i | \(-0.117172\pi\) | |||||||
\(878\) | − | 65.0267i | − | 2.19455i | ||||||
\(879\) | 28.6988 | − | 16.5693i | 0.967986 | − | 0.558867i | ||||
\(880\) | −16.4115 | − | 28.4256i | −0.553232 | − | 0.958226i | ||||
\(881\) | 8.26912 | − | 14.3225i | 0.278594 | − | 0.482539i | −0.692442 | − | 0.721474i | \(-0.743465\pi\) |
0.971036 | + | 0.238935i | \(0.0767983\pi\) | |||||||
\(882\) | − | 6.72686i | − | 0.226505i | ||||||
\(883\) | −1.35249 | −0.0455148 | −0.0227574 | − | 0.999741i | \(-0.507245\pi\) | ||||
−0.0227574 | + | 0.999741i | \(0.507245\pi\) | |||||||
\(884\) | −58.7112 | + | 14.2083i | −1.97467 | + | 0.477878i | ||||
\(885\) | 1.70259 | − | 2.94897i | 0.0572318 | − | 0.0991284i | ||||
\(886\) | 45.0660 | + | 26.0189i | 1.51402 | + | 0.874121i | ||||
\(887\) | 29.2290 | 0.981413 | 0.490707 | − | 0.871325i | \(-0.336739\pi\) | ||||
0.490707 | + | 0.871325i | \(0.336739\pi\) | |||||||
\(888\) | −128.298 | −4.30539 | ||||||||
\(889\) | 27.6515 | − | 15.9646i | 0.927403 | − | 0.535436i | ||||
\(890\) | − | 80.6277i | − | 2.70265i | ||||||
\(891\) | −5.69247 | − | 3.28655i | −0.190705 | − | 0.110104i | ||||
\(892\) | −81.9296 | − | 47.3020i | −2.74320 | − | 1.58379i | ||||
\(893\) | 24.1950 | + | 41.9070i | 0.809655 | + | 1.40236i | ||||
\(894\) | 11.6966 | − | 20.2591i | 0.391192 | − | 0.677565i | ||||
\(895\) | −42.1420 | + | 24.3307i | −1.40865 | + | 0.813285i | ||||
\(896\) | 132.564 | − | 229.607i | 4.42864 | − | 7.67064i | ||||
\(897\) | 11.0272 | + | 11.5780i | 0.368186 | + | 0.386577i | ||||
\(898\) | 43.7083 | 1.45857 | ||||||||
\(899\) | −6.41487 | + | 9.05807i | −0.213948 | + | 0.302103i | ||||
\(900\) | −0.0294553 | − | 0.0510181i | −0.000981844 | − | 0.00170060i | ||||
\(901\) | 0.0425587 | − | 0.0737139i | 0.00141784 | − | 0.00245577i | ||||
\(902\) | −5.96046 | − | 3.44127i | −0.198462 | − | 0.114582i | ||||
\(903\) | −18.3980 | − | 10.6221i | −0.612248 | − | 0.353481i | ||||
\(904\) | 13.5474i | 0.450581i | ||||||||
\(905\) | 4.86338 | + | 2.80787i | 0.161664 | + | 0.0933369i | ||||
\(906\) | −33.9343 | − | 58.7760i | −1.12739 | − | 1.95270i | ||||
\(907\) | 1.26928 | + | 2.19846i | 0.0421459 | + | 0.0729988i | 0.886329 | − | 0.463056i | \(-0.153247\pi\) |
−0.844183 | + | 0.536055i | \(0.819914\pi\) | |||||||
\(908\) | 3.40476 | + | 1.96574i | 0.112991 | + | 0.0652353i | ||||
\(909\) | −0.311099 | − | 0.538839i | −0.0103185 | − | 0.0178722i | ||||
\(910\) | −20.5829 | − | 85.0520i | −0.682316 | − | 2.81945i | ||||
\(911\) | 15.7756 | − | 27.3242i | 0.522670 | − | 0.905292i | −0.476982 | − | 0.878913i | \(-0.658269\pi\) |
0.999652 | − | 0.0263784i | \(-0.00839748\pi\) | |||||||
\(912\) | −195.846 | − | 113.072i | −6.48510 | − | 3.74417i | ||||
\(913\) | −3.68701 | −0.122022 | ||||||||
\(914\) | −18.6821 | + | 32.3583i | −0.617948 | + | 1.07032i | ||||
\(915\) | 20.4899i | 0.677375i | ||||||||
\(916\) | −30.5995 | + | 17.6666i | −1.01104 | + | 0.583722i | ||||
\(917\) | − | 53.1697i | − | 1.75582i | ||||||
\(918\) | 37.8686 | + | 21.8634i | 1.24985 | + | 0.721601i | ||||
\(919\) | −22.0811 | −0.728389 | −0.364194 | − | 0.931323i | \(-0.618656\pi\) | ||||
−0.364194 | + | 0.931323i | \(0.618656\pi\) | |||||||
\(920\) | 31.8328 | − | 55.1360i | 1.04950 | − | 1.81778i | ||||
\(921\) | 37.0388 | + | 21.3844i | 1.22047 | + | 0.704638i | ||||
\(922\) | 69.8902 | 2.30171 | ||||||||
\(923\) | 0.935614 | + | 3.86612i | 0.0307961 | + | 0.127255i | ||||
\(924\) | 15.2167 | − | 26.3561i | 0.500592 | − | 0.867051i | ||||
\(925\) | −0.220831 | − | 0.127497i | −0.00726086 | − | 0.00419206i | ||||
\(926\) | −28.7616 | − | 49.8166i | −0.945166 | − | 1.63708i | ||||
\(927\) | −1.96908 | − | 3.41055i | −0.0646732 | − | 0.112017i | ||||
\(928\) | − | 57.9566i | − | 1.90252i | ||||||
\(929\) | 21.3912 | + | 12.3502i | 0.701821 | + | 0.405197i | 0.808025 | − | 0.589148i | \(-0.200536\pi\) |
−0.106204 | + | 0.994344i | \(0.533870\pi\) | |||||||
\(930\) | 56.7494 | + | 5.27037i | 1.86089 | + | 0.172822i | ||||
\(931\) | − | 62.7251i | − | 2.05573i | ||||||
\(932\) | 14.9333 | − | 25.8653i | 0.489157 | − | 0.847245i | ||||
\(933\) | −47.6610 | −1.56035 | ||||||||
\(934\) | −88.8487 | + | 51.2968i | −2.90722 | + | 1.67848i | ||||
\(935\) | 2.63463 | + | 4.56332i | 0.0861617 | + | 0.149236i | ||||
\(936\) | 2.63597 | + | 10.8923i | 0.0861594 | + | 0.356025i | ||||
\(937\) | −7.50081 | + | 12.9918i | −0.245041 | + | 0.424423i | −0.962143 | − | 0.272545i | \(-0.912135\pi\) |
0.717102 | + | 0.696968i | \(0.245468\pi\) | |||||||
\(938\) | −46.2365 | + | 26.6946i | −1.50967 | + | 0.871610i | ||||
\(939\) | 10.4483 | − | 18.0970i | 0.340967 | − | 0.590572i | ||||
\(940\) | 81.8672 | 2.67021 | ||||||||
\(941\) | −45.9263 | + | 26.5156i | −1.49715 | + | 0.864383i | −0.999995 | − | 0.00327587i | \(-0.998957\pi\) |
−0.497160 | + | 0.867659i | \(0.665624\pi\) | |||||||
\(942\) | −26.7438 | + | 15.4405i | −0.871360 | + | 0.503080i | ||||
\(943\) | − | 8.12097i | − | 0.264455i | ||||||
\(944\) | −14.4828 | − | 8.36168i | −0.471377 | − | 0.272149i | ||||
\(945\) | −23.5475 | + | 40.7854i | −0.765999 | + | 1.32675i | ||||
\(946\) | 3.78091 | + | 6.54872i | 0.122928 | + | 0.212917i | ||||
\(947\) | − | 22.5615i | − | 0.733152i | −0.930388 | − | 0.366576i | \(-0.880530\pi\) | ||
0.930388 | − | 0.366576i | \(-0.119470\pi\) | |||||||
\(948\) | 34.5043 | + | 59.7632i | 1.12065 | + | 1.94102i | ||||
\(949\) | −38.9981 | + | 37.1429i | −1.26593 | + | 1.20571i | ||||
\(950\) | −0.369428 | − | 0.639868i | −0.0119858 | − | 0.0207601i | ||||
\(951\) | −16.3578 | − | 9.44416i | −0.530437 | − | 0.306248i | ||||
\(952\) | −59.7566 | + | 103.502i | −1.93672 | + | 3.35450i | ||||
\(953\) | 10.2727 | − | 17.7928i | 0.332764 | − | 0.576364i | −0.650289 | − | 0.759687i | \(-0.725352\pi\) |
0.983053 | + | 0.183323i | \(0.0586854\pi\) | |||||||
\(954\) | −0.0208803 | − | 0.0120552i | −0.000676024 | − | 0.000390303i | ||||
\(955\) | −21.7944 | + | 12.5830i | −0.705249 | + | 0.407176i | ||||
\(956\) | − | 71.3942i | − | 2.30905i | ||||||
\(957\) | − | 2.68330i | − | 0.0867386i | ||||||
\(958\) | −12.2827 | − | 21.2743i | −0.396838 | − | 0.687343i | ||||
\(959\) | 1.49578 | + | 2.59076i | 0.0483011 | + | 0.0836600i | ||||
\(960\) | −143.398 | + | 82.7911i | −4.62816 | + | 2.67207i | ||||
\(961\) | −20.1788 | + | 23.5333i | −0.650930 | + | 0.759137i | ||||
\(962\) | 51.0793 | + | 53.6307i | 1.64686 | + | 1.72912i | ||||
\(963\) | −1.99753 | −0.0643695 | ||||||||
\(964\) | 24.8270i | 0.799624i | ||||||||
\(965\) | 13.4098 | + | 23.2264i | 0.431676 | + | 0.747685i | ||||
\(966\) | 48.2999 | 1.55402 | ||||||||
\(967\) | −29.3268 | − | 16.9318i | −0.943086 | − | 0.544491i | −0.0521599 | − | 0.998639i | \(-0.516611\pi\) |
−0.890926 | + | 0.454148i | \(0.849944\pi\) | |||||||
\(968\) | 94.8345 | − | 54.7527i | 3.04810 | − | 1.75982i | ||||
\(969\) | 31.4402 | + | 18.1520i | 1.01001 | + | 0.583127i | ||||
\(970\) | 65.9717 | − | 38.0888i | 2.11822 | − | 1.22296i | ||||
\(971\) | −15.5626 | −0.499427 | −0.249713 | − | 0.968320i | \(-0.580336\pi\) | ||||
−0.249713 | + | 0.968320i | \(0.580336\pi\) | |||||||
\(972\) | 8.79874 | − | 15.2399i | 0.282220 | − | 0.488819i | ||||
\(973\) | 28.0021i | 0.897705i | ||||||||
\(974\) | 0.105574 | + | 0.182860i | 0.00338281 | + | 0.00585920i | ||||
\(975\) | 0.0580372 | − | 0.197247i | 0.00185868 | − | 0.00631697i | ||||
\(976\) | 100.629 | 3.22106 | ||||||||
\(977\) | 50.3123 | − | 29.0478i | 1.60963 | − | 0.929323i | 0.620183 | − | 0.784457i | \(-0.287058\pi\) |
0.989451 | − | 0.144865i | \(-0.0462749\pi\) | |||||||
\(978\) | −19.7105 | −0.630271 | ||||||||
\(979\) | −10.6019 | −0.338839 | ||||||||
\(980\) | −91.9022 | − | 53.0597i | −2.93571 | − | 1.69493i | ||||
\(981\) | − | 0.506783i | − | 0.0161803i | ||||||
\(982\) | 32.4866i | 1.03669i | ||||||||
\(983\) | 32.3644 | − | 18.6856i | 1.03226 | − | 0.595978i | 0.114631 | − | 0.993408i | \(-0.463431\pi\) |
0.917632 | + | 0.397431i | \(0.130098\pi\) | |||||||
\(984\) | −26.2717 | + | 45.5039i | −0.837512 | + | 1.45061i | ||||
\(985\) | −55.8496 | −1.77952 | ||||||||
\(986\) | 16.0888i | 0.512372i | ||||||||
\(987\) | 20.3391 | + | 35.2284i | 0.647401 | + | 1.12133i | ||||
\(988\) | 37.5283 | + | 155.073i | 1.19393 | + | 4.93354i | ||||
\(989\) | −4.46123 | + | 7.72707i | −0.141859 | + | 0.245707i | ||||
\(990\) | 1.29261 | − | 0.746290i | 0.0410819 | − | 0.0237186i | ||||
\(991\) | −13.8447 | − | 23.9798i | −0.439792 | − | 0.761743i | 0.557881 | − | 0.829921i | \(-0.311615\pi\) |
−0.997673 | + | 0.0681784i | \(0.978281\pi\) | |||||||
\(992\) | 14.9684 | − | 161.174i | 0.475248 | − | 5.11729i | ||||
\(993\) | − | 21.2979i | − | 0.675870i | ||||||
\(994\) | 10.4061 | + | 6.00799i | 0.330063 | + | 0.190562i | ||||
\(995\) | −13.9584 | + | 8.05890i | −0.442512 | + | 0.255484i | ||||
\(996\) | 42.9767i | 1.36177i | ||||||||
\(997\) | −6.22825 | −0.197251 | −0.0986253 | − | 0.995125i | \(-0.531445\pi\) | ||||
−0.0986253 | + | 0.995125i | \(0.531445\pi\) | |||||||
\(998\) | −30.5104 | −0.965789 | ||||||||
\(999\) | − | 39.8596i | − | 1.26110i |
(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 | 403.2.v.a.36.1 | yes | 70 | |
13.4 | even | 6 | 403.2.s.a.160.1 | ✓ | 70 | ||
31.25 | even | 3 | 403.2.s.a.335.1 | yes | 70 | ||
403.56 | even | 6 | inner | 403.2.v.a.56.1 | yes | 70 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.s.a.160.1 | ✓ | 70 | 13.4 | even | 6 | ||
403.2.s.a.335.1 | yes | 70 | 31.25 | even | 3 | ||
403.2.v.a.36.1 | yes | 70 | 1.1 | even | 1 | trivial | |
403.2.v.a.56.1 | yes | 70 | 403.56 | even | 6 | inner |