Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [285,2,Mod(14,285)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(285, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("285.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 285 = 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 285.bf (of order \(18\), degree \(6\), 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: | \(2.27573645761\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 269.26 | ||
Character | \(\chi\) | \(=\) | 285.269 |
Dual form | 285.2.bf.c.89.26 |
$q$-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 \(\left(\mathbb{Z}/285\mathbb{Z}\right)^\times\).
\(n\) | \(172\) | \(191\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.964769 | − | 1.14977i | 0.682195 | − | 0.813008i | −0.308194 | − | 0.951324i | \(-0.599724\pi\) |
0.990388 | + | 0.138316i | \(0.0441689\pi\) | |||||||
\(3\) | 1.72127 | + | 0.192980i | 0.993774 | + | 0.111417i | ||||
\(4\) | −0.0438883 | − | 0.248903i | −0.0219441 | − | 0.124451i | ||||
\(5\) | 2.12220 | − | 0.704447i | 0.949079 | − | 0.315038i | ||||
\(6\) | 1.88251 | − | 1.79287i | 0.768530 | − | 0.731938i | ||||
\(7\) | −3.63963 | + | 2.10134i | −1.37565 | + | 0.794231i | −0.991632 | − | 0.129095i | \(-0.958793\pi\) |
−0.384017 | + | 0.923326i | \(0.625460\pi\) | |||||||
\(8\) | 2.27114 | + | 1.31124i | 0.802968 | + | 0.463594i | ||||
\(9\) | 2.92552 | + | 0.664341i | 0.975172 | + | 0.221447i | ||||
\(10\) | 1.23749 | − | 3.11967i | 0.391328 | − | 0.986526i | ||||
\(11\) | −1.49500 | − | 0.863138i | −0.450759 | − | 0.260246i | 0.257392 | − | 0.966307i | \(-0.417137\pi\) |
−0.708151 | + | 0.706061i | \(0.750470\pi\) | |||||||
\(12\) | −0.0275101 | − | 0.436898i | −0.00794149 | − | 0.126122i | ||||
\(13\) | −5.21347 | − | 1.89755i | −1.44596 | − | 0.526285i | −0.504498 | − | 0.863413i | \(-0.668322\pi\) |
−0.941459 | + | 0.337128i | \(0.890545\pi\) | |||||||
\(14\) | −1.09535 | + | 6.21203i | −0.292744 | + | 1.66023i | ||||
\(15\) | 3.78882 | − | 0.802998i | 0.978270 | − | 0.207333i | ||||
\(16\) | 4.17374 | − | 1.51912i | 1.04344 | − | 0.379780i | ||||
\(17\) | −0.681701 | − | 0.572015i | −0.165337 | − | 0.138734i | 0.556365 | − | 0.830938i | \(-0.312196\pi\) |
−0.721702 | + | 0.692204i | \(0.756640\pi\) | |||||||
\(18\) | 3.58628 | − | 2.72273i | 0.845295 | − | 0.641753i | ||||
\(19\) | −4.24769 | + | 0.978350i | −0.974486 | + | 0.224449i | ||||
\(20\) | −0.268479 | − | 0.497306i | −0.0600337 | − | 0.111201i | ||||
\(21\) | −6.67028 | + | 2.91459i | −1.45557 | + | 0.636015i | ||||
\(22\) | −2.43474 | + | 0.886172i | −0.519088 | + | 0.188932i | ||||
\(23\) | −1.33609 | − | 7.57735i | −0.278594 | − | 1.57999i | −0.727308 | − | 0.686311i | \(-0.759229\pi\) |
0.448714 | − | 0.893676i | \(-0.351882\pi\) | |||||||
\(24\) | 3.65619 | + | 2.69528i | 0.746316 | + | 0.550172i | ||||
\(25\) | 4.00751 | − | 2.98996i | 0.801502 | − | 0.597993i | ||||
\(26\) | −7.21153 | + | 4.16358i | −1.41430 | + | 0.816545i | ||||
\(27\) | 4.90739 | + | 1.70807i | 0.944428 | + | 0.328719i | ||||
\(28\) | 0.682766 | + | 0.813689i | 0.129031 | + | 0.153773i | ||||
\(29\) | 1.18770 | − | 0.996598i | 0.220550 | − | 0.185064i | −0.525817 | − | 0.850597i | \(-0.676240\pi\) |
0.746368 | + | 0.665534i | \(0.231796\pi\) | |||||||
\(30\) | 2.73208 | − | 5.13097i | 0.498807 | − | 0.936783i | ||||
\(31\) | −2.32234 | + | 1.34080i | −0.417105 | + | 0.240816i | −0.693838 | − | 0.720131i | \(-0.744082\pi\) |
0.276733 | + | 0.960947i | \(0.410748\pi\) | |||||||
\(32\) | 0.486183 | − | 1.33578i | 0.0859457 | − | 0.236134i | ||||
\(33\) | −2.40672 | − | 1.77420i | −0.418957 | − | 0.308848i | ||||
\(34\) | −1.31537 | + | 0.231935i | −0.225584 | + | 0.0397765i | ||||
\(35\) | −6.24375 | + | 7.02340i | −1.05539 | + | 1.18717i | ||||
\(36\) | 0.0369603 | − | 0.757326i | 0.00616006 | − | 0.126221i | ||||
\(37\) | 0.131361 | 0.0215956 | 0.0107978 | − | 0.999942i | \(-0.496563\pi\) | ||||
0.0107978 | + | 0.999942i | \(0.496563\pi\) | |||||||
\(38\) | −2.97316 | + | 5.82773i | −0.482310 | + | 0.945383i | ||||
\(39\) | −8.60758 | − | 4.27228i | −1.37832 | − | 0.684113i | ||||
\(40\) | 5.74352 | + | 1.18283i | 0.908130 | + | 0.187021i | ||||
\(41\) | 5.21640 | − | 1.89862i | 0.814665 | − | 0.296514i | 0.0991158 | − | 0.995076i | \(-0.468399\pi\) |
0.715550 | + | 0.698562i | \(0.246176\pi\) | |||||||
\(42\) | −3.08418 | + | 10.4812i | −0.475900 | + | 1.61728i | ||||
\(43\) | 4.83329 | + | 0.852239i | 0.737070 | + | 0.129965i | 0.529566 | − | 0.848269i | \(-0.322355\pi\) |
0.207504 | + | 0.978234i | \(0.433466\pi\) | |||||||
\(44\) | −0.149225 | + | 0.409991i | −0.0224965 | + | 0.0618085i | ||||
\(45\) | 6.67654 | − | 0.651006i | 0.995280 | − | 0.0970462i | ||||
\(46\) | −10.0012 | − | 5.77420i | −1.47460 | − | 0.851359i | ||||
\(47\) | −7.04165 | + | 5.90864i | −1.02713 | + | 0.861864i | −0.990507 | − | 0.137465i | \(-0.956105\pi\) |
−0.0366232 | + | 0.999329i | \(0.511660\pi\) | |||||||
\(48\) | 7.47729 | − | 1.80936i | 1.07925 | − | 0.261158i | ||||
\(49\) | 5.33125 | − | 9.23399i | 0.761607 | − | 1.31914i | ||||
\(50\) | 0.428559 | − | 7.49232i | 0.0606073 | − | 1.05957i | ||||
\(51\) | −1.06300 | − | 1.11615i | −0.148850 | − | 0.156292i | ||||
\(52\) | −0.243495 | + | 1.38093i | −0.0337667 | + | 0.191500i | ||||
\(53\) | 6.80485 | − | 1.19988i | 0.934717 | − | 0.164816i | 0.314510 | − | 0.949254i | \(-0.398160\pi\) |
0.620207 | + | 0.784438i | \(0.287049\pi\) | |||||||
\(54\) | 6.69838 | − | 3.99446i | 0.911535 | − | 0.543577i | ||||
\(55\) | −3.78073 | − | 0.778608i | −0.509794 | − | 0.104987i | ||||
\(56\) | −11.0214 | −1.47280 | ||||||||
\(57\) | −7.50020 | + | 0.864282i | −0.993426 | + | 0.114477i | ||||
\(58\) | − | 2.32706i | − | 0.305559i | ||||||
\(59\) | 1.92545 | + | 1.61564i | 0.250672 | + | 0.210339i | 0.759462 | − | 0.650552i | \(-0.225462\pi\) |
−0.508789 | + | 0.860891i | \(0.669907\pi\) | |||||||
\(60\) | −0.366154 | − | 0.907807i | −0.0472702 | − | 0.117197i | ||||
\(61\) | 1.43301 | + | 8.12701i | 0.183478 | + | 1.04056i | 0.927895 | + | 0.372842i | \(0.121617\pi\) |
−0.744417 | + | 0.667716i | \(0.767272\pi\) | |||||||
\(62\) | −0.698910 | + | 3.96372i | −0.0887617 | + | 0.503393i | ||||
\(63\) | −12.0438 | + | 3.72955i | −1.51738 | + | 0.469879i | ||||
\(64\) | 3.37483 | + | 5.84538i | 0.421854 | + | 0.730672i | ||||
\(65\) | −12.4008 | − | 0.354371i | −1.53813 | − | 0.0439543i | ||||
\(66\) | −4.36184 | + | 1.05548i | −0.536906 | + | 0.129921i | ||||
\(67\) | −3.98162 | + | 3.34098i | −0.486432 | + | 0.408165i | −0.852746 | − | 0.522326i | \(-0.825064\pi\) |
0.366313 | + | 0.930492i | \(0.380620\pi\) | |||||||
\(68\) | −0.112457 | + | 0.194782i | −0.0136375 | + | 0.0236208i | ||||
\(69\) | −0.837491 | − | 13.3005i | −0.100822 | − | 1.60119i | ||||
\(70\) | 2.05149 | + | 13.9548i | 0.245200 | + | 1.66792i | ||||
\(71\) | 0.165181 | − | 0.936786i | 0.0196033 | − | 0.111176i | −0.973436 | − | 0.228959i | \(-0.926468\pi\) |
0.993039 | + | 0.117783i | \(0.0375788\pi\) | |||||||
\(72\) | 5.77314 | + | 5.34487i | 0.680371 | + | 0.629899i | ||||
\(73\) | 4.66010 | + | 12.8035i | 0.545424 | + | 1.49854i | 0.839825 | + | 0.542857i | \(0.182657\pi\) |
−0.294402 | + | 0.955682i | \(0.595120\pi\) | |||||||
\(74\) | 0.126733 | − | 0.151035i | 0.0147324 | − | 0.0175574i | ||||
\(75\) | 7.47499 | − | 4.37315i | 0.863138 | − | 0.504968i | ||||
\(76\) | 0.429938 | + | 1.01432i | 0.0493172 | + | 0.116351i | ||||
\(77\) | 7.25498 | 0.826782 | ||||||||
\(78\) | −13.2165 | + | 5.77495i | −1.49647 | + | 0.653884i | ||||
\(79\) | 2.08784 | + | 5.73631i | 0.234901 | + | 0.645385i | 0.999999 | + | 0.00147107i | \(0.000468257\pi\) |
−0.765098 | + | 0.643914i | \(0.777310\pi\) | |||||||
\(80\) | 7.78740 | − | 6.16406i | 0.870658 | − | 0.689163i | ||||
\(81\) | 8.11730 | + | 3.88708i | 0.901923 | + | 0.431898i | ||||
\(82\) | 2.84966 | − | 7.82937i | 0.314692 | − | 0.864610i | ||||
\(83\) | 5.19192 | + | 8.99266i | 0.569887 | + | 0.987073i | 0.996577 | + | 0.0826749i | \(0.0263463\pi\) |
−0.426690 | + | 0.904398i | \(0.640320\pi\) | |||||||
\(84\) | 1.01820 | + | 1.53234i | 0.111094 | + | 0.167192i | ||||
\(85\) | −1.84966 | − | 0.733711i | −0.200624 | − | 0.0795821i | ||||
\(86\) | 5.64288 | − | 4.73494i | 0.608488 | − | 0.510582i | ||||
\(87\) | 2.23667 | − | 1.48621i | 0.239796 | − | 0.159338i | ||||
\(88\) | −2.26357 | − | 3.92061i | −0.241297 | − | 0.417938i | ||||
\(89\) | 2.06828 | + | 0.752793i | 0.219238 | + | 0.0797959i | 0.449304 | − | 0.893379i | \(-0.351672\pi\) |
−0.230066 | + | 0.973175i | \(0.573894\pi\) | |||||||
\(90\) | 5.69281 | − | 8.30453i | 0.600075 | − | 0.875375i | ||||
\(91\) | 22.9625 | − | 4.04890i | 2.40712 | − | 0.424440i | ||||
\(92\) | −1.82739 | + | 0.665114i | −0.190518 | + | 0.0693429i | ||||
\(93\) | −4.25612 | + | 1.85972i | −0.441339 | + | 0.192844i | ||||
\(94\) | 13.7967i | 1.42302i | ||||||||
\(95\) | −8.32526 | + | 5.06853i | −0.854154 | + | 0.520020i | ||||
\(96\) | 1.09463 | − | 2.20540i | 0.111720 | − | 0.225088i | ||||
\(97\) | −1.38420 | − | 1.16148i | −0.140544 | − | 0.117930i | 0.569805 | − | 0.821780i | \(-0.307019\pi\) |
−0.710349 | + | 0.703849i | \(0.751463\pi\) | |||||||
\(98\) | −5.47351 | − | 15.0384i | −0.552908 | − | 1.51910i | ||||
\(99\) | −3.80023 | − | 3.51831i | −0.381937 | − | 0.353604i | ||||
\(100\) | −0.920093 | − | 0.866256i | −0.0920093 | − | 0.0866256i | ||||
\(101\) | −2.60212 | + | 7.14928i | −0.258921 | + | 0.711380i | 0.740314 | + | 0.672262i | \(0.234677\pi\) |
−0.999235 | + | 0.0391179i | \(0.987545\pi\) | |||||||
\(102\) | −2.30886 | + | 0.145382i | −0.228611 | + | 0.0143949i | ||||
\(103\) | 5.80454 | − | 10.0538i | 0.571938 | − | 0.990626i | −0.424429 | − | 0.905461i | \(-0.639525\pi\) |
0.996367 | − | 0.0851648i | \(-0.0271417\pi\) | |||||||
\(104\) | −9.35236 | − | 11.1457i | −0.917075 | − | 1.09293i | ||||
\(105\) | −12.1025 | + | 10.8842i | −1.18109 | + | 1.06219i | ||||
\(106\) | 5.18552 | − | 8.98159i | 0.503663 | − | 0.872369i | ||||
\(107\) | −9.70280 | + | 5.60191i | −0.938005 | + | 0.541557i | −0.889334 | − | 0.457257i | \(-0.848832\pi\) |
−0.0486706 | + | 0.998815i | \(0.515498\pi\) | |||||||
\(108\) | 0.209768 | − | 1.29643i | 0.0201849 | − | 0.124749i | ||||
\(109\) | −9.06462 | − | 1.59834i | −0.868234 | − | 0.153093i | −0.278250 | − | 0.960509i | \(-0.589755\pi\) |
−0.589983 | + | 0.807416i | \(0.700866\pi\) | |||||||
\(110\) | −4.54275 | + | 3.59578i | −0.433134 | + | 0.342844i | ||||
\(111\) | 0.226107 | + | 0.0253501i | 0.0214612 | + | 0.00240612i | ||||
\(112\) | −11.9987 | + | 14.2995i | −1.13377 | + | 1.35117i | ||||
\(113\) | − | 3.04022i | − | 0.286000i | −0.989723 | − | 0.143000i | \(-0.954325\pi\) | ||
0.989723 | − | 0.143000i | \(-0.0456748\pi\) | |||||||
\(114\) | −6.24224 | + | 9.45731i | −0.584639 | + | 0.885759i | ||||
\(115\) | −8.17330 | − | 15.1395i | −0.762165 | − | 1.41176i | ||||
\(116\) | −0.300182 | − | 0.251883i | −0.0278712 | − | 0.0233867i | ||||
\(117\) | −13.9915 | − | 9.01483i | −1.29351 | − | 0.833421i | ||||
\(118\) | 3.71523 | − | 0.655095i | 0.342015 | − | 0.0603064i | ||||
\(119\) | 3.68313 | + | 0.649436i | 0.337632 | + | 0.0595337i | ||||
\(120\) | 9.65786 | + | 3.14435i | 0.881638 | + | 0.287038i | ||||
\(121\) | −4.00999 | − | 6.94550i | −0.364544 | − | 0.631409i | ||||
\(122\) | 10.7267 | + | 6.19306i | 0.971149 | + | 0.560693i | ||||
\(123\) | 9.34522 | − | 2.26136i | 0.842630 | − | 0.203900i | ||||
\(124\) | 0.435654 | + | 0.519192i | 0.0391229 | + | 0.0466248i | ||||
\(125\) | 6.39848 | − | 9.16839i | 0.572298 | − | 0.820046i | ||||
\(126\) | −7.33136 | + | 17.4457i | −0.653130 | + | 1.55419i | ||||
\(127\) | 0.708080 | + | 0.257720i | 0.0628319 | + | 0.0228690i | 0.373245 | − | 0.927733i | \(-0.378245\pi\) |
−0.310413 | + | 0.950602i | \(0.600467\pi\) | |||||||
\(128\) | 12.7766 | + | 2.25285i | 1.12930 | + | 0.199126i | ||||
\(129\) | 8.15491 | + | 2.39966i | 0.718000 | + | 0.211278i | ||||
\(130\) | −12.3713 | + | 13.9161i | −1.08504 | + | 1.22052i | ||||
\(131\) | 11.7728 | − | 14.0302i | 1.02859 | − | 1.22583i | 0.0547735 | − | 0.998499i | \(-0.482556\pi\) |
0.973818 | − | 0.227329i | \(-0.0729992\pi\) | |||||||
\(132\) | −0.335975 | + | 0.676907i | −0.0292429 | + | 0.0589172i | ||||
\(133\) | 13.4041 | − | 12.4867i | 1.16229 | − | 1.08273i | ||||
\(134\) | 7.80121i | 0.673922i | ||||||||
\(135\) | 11.6177 | + | 0.167886i | 0.999896 | + | 0.0144493i | ||||
\(136\) | −0.798186 | − | 2.19300i | −0.0684439 | − | 0.188048i | ||||
\(137\) | −0.00371436 | − | 0.0210652i | −0.000317339 | − | 0.00179972i | 0.984649 | − | 0.174548i | \(-0.0558464\pi\) |
−0.984966 | + | 0.172748i | \(0.944735\pi\) | |||||||
\(138\) | −16.1004 | − | 11.8690i | −1.37056 | − | 1.01035i | ||||
\(139\) | −16.6860 | − | 6.07320i | −1.41529 | − | 0.515122i | −0.482610 | − | 0.875835i | \(-0.660311\pi\) |
−0.932677 | + | 0.360713i | \(0.882533\pi\) | |||||||
\(140\) | 2.02217 | + | 1.24584i | 0.170905 | + | 0.105293i | ||||
\(141\) | −13.2608 | + | 8.81145i | −1.11676 | + | 0.742058i | ||||
\(142\) | −0.917724 | − | 1.09370i | −0.0770137 | − | 0.0917813i | ||||
\(143\) | 6.15629 | + | 7.33678i | 0.514815 | + | 0.613532i | ||||
\(144\) | 13.2196 | − | 1.67142i | 1.10163 | − | 0.139285i | ||||
\(145\) | 1.81849 | − | 2.95166i | 0.151017 | − | 0.245122i | ||||
\(146\) | 19.2170 | + | 6.99441i | 1.59041 | + | 0.578862i | ||||
\(147\) | 10.9585 | − | 14.8653i | 0.903840 | − | 1.22607i | ||||
\(148\) | −0.00576521 | − | 0.0326961i | −0.000473898 | − | 0.00268761i | ||||
\(149\) | −7.53327 | − | 20.6975i | −0.617150 | − | 1.69561i | −0.713856 | − | 0.700292i | \(-0.753053\pi\) |
0.0967065 | − | 0.995313i | \(-0.469169\pi\) | |||||||
\(150\) | 2.18353 | − | 12.8136i | 0.178285 | − | 1.04622i | ||||
\(151\) | − | 16.2709i | − | 1.32411i | −0.749456 | − | 0.662054i | \(-0.769685\pi\) | ||
0.749456 | − | 0.662054i | \(-0.230315\pi\) | |||||||
\(152\) | −10.9299 | − | 3.34777i | −0.886534 | − | 0.271540i | ||||
\(153\) | −1.61432 | − | 2.12632i | −0.130510 | − | 0.171903i | ||||
\(154\) | 6.99938 | − | 8.34154i | 0.564026 | − | 0.672180i | ||||
\(155\) | −3.98396 | + | 4.48143i | −0.319999 | + | 0.359957i | ||||
\(156\) | −0.685611 | + | 2.32996i | −0.0548928 | + | 0.186546i | ||||
\(157\) | −5.40951 | − | 0.953843i | −0.431726 | − | 0.0761249i | −0.0464376 | − | 0.998921i | \(-0.514787\pi\) |
−0.385288 | + | 0.922796i | \(0.625898\pi\) | |||||||
\(158\) | 8.60970 | + | 3.13368i | 0.684951 | + | 0.249302i | ||||
\(159\) | 11.9445 | − | 0.752109i | 0.947261 | − | 0.0596461i | ||||
\(160\) | 0.0907955 | − | 3.17728i | 0.00717802 | − | 0.251186i | ||||
\(161\) | 20.7855 | + | 24.7711i | 1.63812 | + | 1.95224i | ||||
\(162\) | 12.3006 | − | 5.58287i | 0.966423 | − | 0.438632i | ||||
\(163\) | 7.66218 | + | 4.42376i | 0.600148 | + | 0.346496i | 0.769100 | − | 0.639129i | \(-0.220705\pi\) |
−0.168952 | + | 0.985624i | \(0.554038\pi\) | |||||||
\(164\) | −0.701510 | − | 1.21505i | −0.0547787 | − | 0.0948795i | ||||
\(165\) | −6.35739 | − | 2.06980i | −0.494922 | − | 0.161134i | ||||
\(166\) | 15.3485 | + | 2.70635i | 1.19127 | + | 0.210053i | ||||
\(167\) | −3.38890 | + | 0.597554i | −0.262241 | + | 0.0462401i | −0.303222 | − | 0.952920i | \(-0.598063\pi\) |
0.0409819 | + | 0.999160i | \(0.486951\pi\) | |||||||
\(168\) | −18.9709 | − | 2.12692i | −1.46363 | − | 0.164096i | ||||
\(169\) | 13.6210 | + | 11.4294i | 1.04777 | + | 0.879184i | ||||
\(170\) | −2.62809 | + | 1.41882i | −0.201566 | + | 0.108819i | ||||
\(171\) | −13.0766 | + | 0.0402703i | −0.999995 | + | 0.00307955i | ||||
\(172\) | − | 1.24042i | − | 0.0945813i | ||||||
\(173\) | 12.9104 | − | 15.3860i | 0.981556 | − | 1.16977i | −0.00392570 | − | 0.999992i | \(-0.501250\pi\) |
0.985482 | − | 0.169781i | \(-0.0543060\pi\) | |||||||
\(174\) | 0.449077 | − | 4.00550i | 0.0340445 | − | 0.303656i | ||||
\(175\) | −8.30290 | + | 19.3035i | −0.627640 | + | 1.45921i | ||||
\(176\) | −7.55095 | − | 1.33144i | −0.569175 | − | 0.100361i | ||||
\(177\) | 3.00243 | + | 3.15253i | 0.225676 | + | 0.236959i | ||||
\(178\) | 2.86095 | − | 1.65177i | 0.214437 | − | 0.123806i | ||||
\(179\) | 3.87995 | − | 6.72027i | 0.290001 | − | 0.502296i | −0.683809 | − | 0.729661i | \(-0.739678\pi\) |
0.973810 | + | 0.227365i | \(0.0730110\pi\) | |||||||
\(180\) | −0.455059 | − | 1.63324i | −0.0339181 | − | 0.121734i | ||||
\(181\) | −3.56951 | − | 4.25398i | −0.265320 | − | 0.316196i | 0.616893 | − | 0.787047i | \(-0.288391\pi\) |
−0.882212 | + | 0.470852i | \(0.843947\pi\) | |||||||
\(182\) | 17.4982 | − | 30.3077i | 1.29705 | − | 2.24656i | ||||
\(183\) | 0.898243 | + | 14.2653i | 0.0664000 | + | 1.05452i | ||||
\(184\) | 6.90129 | − | 18.9611i | 0.508770 | − | 1.39783i | ||||
\(185\) | 0.278775 | − | 0.0925370i | 0.0204960 | − | 0.00680345i | ||||
\(186\) | −1.96793 | + | 6.68774i | −0.144296 | + | 0.490369i | ||||
\(187\) | 0.525414 | + | 1.44356i | 0.0384221 | + | 0.105564i | ||||
\(188\) | 1.77972 | + | 1.49337i | 0.129800 | + | 0.108915i | ||||
\(189\) | −21.4503 | + | 4.09534i | −1.56028 | + | 0.297892i | ||||
\(190\) | −2.20433 | + | 14.4621i | −0.159919 | + | 1.04919i | ||||
\(191\) | − | 0.0120865i | − | 0.000874546i | −1.00000 | 0.000437273i | \(-0.999861\pi\) | |||
1.00000 | 0.000437273i | \(-0.000139188\pi\) | ||||||||
\(192\) | 4.68094 | + | 10.7127i | 0.337818 | + | 0.773124i | ||||
\(193\) | −18.0070 | + | 6.55400i | −1.29617 | + | 0.471768i | −0.895748 | − | 0.444563i | \(-0.853359\pi\) |
−0.400423 | + | 0.916330i | \(0.631137\pi\) | |||||||
\(194\) | −2.67086 | + | 0.470945i | −0.191757 | + | 0.0338119i | ||||
\(195\) | −21.2767 | − | 3.00307i | −1.52365 | − | 0.215054i | ||||
\(196\) | −2.53235 | − | 0.921699i | −0.180882 | − | 0.0658356i | ||||
\(197\) | 6.36963 | + | 11.0325i | 0.453817 | + | 0.786035i | 0.998619 | − | 0.0525299i | \(-0.0167285\pi\) |
−0.544802 | + | 0.838565i | \(0.683395\pi\) | |||||||
\(198\) | −7.71158 | + | 0.975016i | −0.548038 | + | 0.0692913i | ||||
\(199\) | −11.2264 | + | 9.42005i | −0.795817 | + | 0.667769i | −0.947178 | − | 0.320709i | \(-0.896079\pi\) |
0.151361 | + | 0.988479i | \(0.451634\pi\) | |||||||
\(200\) | 13.0222 | − | 1.53580i | 0.920806 | − | 0.108598i | ||||
\(201\) | −7.49817 | + | 4.98234i | −0.528880 | + | 0.351427i | ||||
\(202\) | 5.70955 | + | 9.88923i | 0.401723 | + | 0.695804i | ||||
\(203\) | −2.22859 | + | 6.12300i | −0.156416 | + | 0.429751i | ||||
\(204\) | −0.231158 | + | 0.313570i | −0.0161843 | + | 0.0219543i | ||||
\(205\) | 9.73280 | − | 7.70393i | 0.679768 | − | 0.538066i | ||||
\(206\) | −5.95944 | − | 16.3734i | −0.415214 | − | 1.14079i | ||||
\(207\) | 1.12518 | − | 23.0553i | 0.0782057 | − | 1.60245i | ||||
\(208\) | −24.6423 | −1.70864 | ||||||||
\(209\) | 7.19474 | + | 2.20371i | 0.497670 | + | 0.152434i | ||||
\(210\) | 0.838164 | + | 24.4158i | 0.0578388 | + | 1.68485i | ||||
\(211\) | 4.96264 | − | 5.91424i | 0.341642 | − | 0.407153i | −0.567678 | − | 0.823251i | \(-0.692158\pi\) |
0.909320 | + | 0.416098i | \(0.136603\pi\) | |||||||
\(212\) | −0.597306 | − | 1.64108i | −0.0410231 | − | 0.112710i | ||||
\(213\) | 0.465101 | − | 1.58058i | 0.0318682 | − | 0.108300i | ||||
\(214\) | −2.92006 | + | 16.5605i | −0.199611 | + | 1.13205i | ||||
\(215\) | 10.8576 | − | 1.59617i | 0.740481 | − | 0.108858i | ||||
\(216\) | 8.90566 | + | 10.3140i | 0.605953 | + | 0.701782i | ||||
\(217\) | 5.63497 | − | 9.76005i | 0.382527 | − | 0.662556i | ||||
\(218\) | −10.5830 | + | 8.88018i | −0.716770 | + | 0.601442i | ||||
\(219\) | 5.55045 | + | 22.9376i | 0.375065 | + | 1.54998i | ||||
\(220\) | −0.0278680 | + | 0.975206i | −0.00187886 | + | 0.0657484i | ||||
\(221\) | 2.46860 | + | 4.27574i | 0.166056 | + | 0.287618i | ||||
\(222\) | 0.247288 | − | 0.235514i | 0.0165969 | − | 0.0158067i | ||||
\(223\) | −0.544631 | + | 3.08876i | −0.0364712 | + | 0.206839i | −0.997598 | − | 0.0692687i | \(-0.977933\pi\) |
0.961127 | + | 0.276107i | \(0.0890445\pi\) | |||||||
\(224\) | 1.03739 | + | 5.88336i | 0.0693138 | + | 0.393098i | ||||
\(225\) | 13.7104 | − | 6.08484i | 0.914026 | − | 0.405656i | ||||
\(226\) | −3.49554 | − | 2.93311i | −0.232520 | − | 0.195107i | ||||
\(227\) | 2.69859i | 0.179112i | 0.995982 | + | 0.0895558i | \(0.0285447\pi\) | ||||
−0.995982 | + | 0.0895558i | \(0.971455\pi\) | |||||||
\(228\) | 0.544293 | + | 1.82889i | 0.0360467 | + | 0.121121i | ||||
\(229\) | −12.0558 | −0.796666 | −0.398333 | − | 0.917241i | \(-0.630411\pi\) | ||||
−0.398333 | + | 0.917241i | \(0.630411\pi\) | |||||||
\(230\) | −25.2922 | − | 5.20871i | −1.66772 | − | 0.343452i | ||||
\(231\) | 12.4878 | + | 1.40007i | 0.821634 | + | 0.0921177i | ||||
\(232\) | 4.00421 | − | 0.706050i | 0.262889 | − | 0.0463545i | ||||
\(233\) | −0.232187 | + | 1.31680i | −0.0152111 | + | 0.0862662i | −0.991468 | − | 0.130348i | \(-0.958390\pi\) |
0.976257 | + | 0.216615i | \(0.0695015\pi\) | |||||||
\(234\) | −23.8635 | + | 7.38971i | −1.56001 | + | 0.483081i | ||||
\(235\) | −10.7815 | + | 17.4998i | −0.703307 | + | 1.14156i | ||||
\(236\) | 0.317634 | − | 0.550158i | 0.0206762 | − | 0.0358122i | ||||
\(237\) | 2.48674 | + | 10.2766i | 0.161531 | + | 0.667539i | ||||
\(238\) | 4.30007 | − | 3.60819i | 0.278732 | − | 0.233884i | ||||
\(239\) | 8.02452 | + | 4.63296i | 0.519063 | + | 0.299681i | 0.736551 | − | 0.676382i | \(-0.236453\pi\) |
−0.217488 | + | 0.976063i | \(0.569786\pi\) | |||||||
\(240\) | 14.5937 | − | 9.10718i | 0.942022 | − | 0.587866i | ||||
\(241\) | 3.15408 | − | 8.66576i | 0.203172 | − | 0.558210i | −0.795700 | − | 0.605691i | \(-0.792897\pi\) |
0.998872 | + | 0.0474803i | \(0.0151191\pi\) | |||||||
\(242\) | −11.8544 | − | 2.09025i | −0.762030 | − | 0.134367i | ||||
\(243\) | 13.2219 | + | 8.25718i | 0.848186 | + | 0.529698i | ||||
\(244\) | 1.95994 | − | 0.713361i | 0.125473 | − | 0.0456683i | ||||
\(245\) | 4.80914 | − | 23.3520i | 0.307245 | − | 1.49190i | ||||
\(246\) | 6.41594 | − | 12.9265i | 0.409065 | − | 0.824164i | ||||
\(247\) | 24.0017 | + | 2.95959i | 1.52719 | + | 0.188314i | ||||
\(248\) | −7.03247 | −0.446563 | ||||||||
\(249\) | 7.20127 | + | 16.4807i | 0.456362 | + | 1.04442i | ||||
\(250\) | −4.36846 | − | 16.2021i | −0.276286 | − | 1.02471i | ||||
\(251\) | −21.9925 | + | 3.87786i | −1.38815 | + | 0.244769i | −0.817266 | − | 0.576261i | \(-0.804511\pi\) |
−0.570886 | + | 0.821029i | \(0.693400\pi\) | |||||||
\(252\) | 1.45688 | + | 2.83405i | 0.0917746 | + | 0.178528i | ||||
\(253\) | −4.54285 | + | 12.4814i | −0.285606 | + | 0.784697i | ||||
\(254\) | 0.979452 | − | 0.565487i | 0.0614563 | − | 0.0354818i | ||||
\(255\) | −3.04217 | − | 1.61986i | −0.190508 | − | 0.101440i | ||||
\(256\) | 4.57561 | − | 3.83939i | 0.285976 | − | 0.239962i | ||||
\(257\) | 13.4580 | + | 16.0386i | 0.839485 | + | 1.00046i | 0.999910 | + | 0.0134112i | \(0.00426903\pi\) |
−0.160425 | + | 0.987048i | \(0.551287\pi\) | |||||||
\(258\) | 10.6267 | − | 7.06113i | 0.661587 | − | 0.439607i | ||||
\(259\) | −0.478105 | + | 0.276034i | −0.0297080 | + | 0.0171519i | ||||
\(260\) | 0.456045 | + | 3.10214i | 0.0282827 | + | 0.192387i | ||||
\(261\) | 4.13672 | − | 2.12653i | 0.256056 | − | 0.131629i | ||||
\(262\) | −4.77350 | − | 27.0719i | −0.294908 | − | 1.67251i | ||||
\(263\) | −18.2802 | + | 6.65346i | −1.12721 | + | 0.410270i | −0.837278 | − | 0.546778i | \(-0.815854\pi\) |
−0.289930 | + | 0.957048i | \(0.593632\pi\) | |||||||
\(264\) | −3.13960 | − | 7.18524i | −0.193229 | − | 0.442221i | ||||
\(265\) | 13.5960 | − | 7.34004i | 0.835197 | − | 0.450895i | ||||
\(266\) | −1.42484 | − | 27.4584i | −0.0873628 | − | 1.68358i | ||||
\(267\) | 3.41479 | + | 1.69490i | 0.208982 | + | 0.103726i | ||||
\(268\) | 1.00633 | + | 0.844407i | 0.0614711 | + | 0.0515804i | ||||
\(269\) | 3.28730 | − | 1.19648i | 0.200430 | − | 0.0729507i | −0.239854 | − | 0.970809i | \(-0.577100\pi\) |
0.440285 | + | 0.897858i | \(0.354877\pi\) | |||||||
\(270\) | 11.4015 | − | 13.1957i | 0.693871 | − | 0.803066i | ||||
\(271\) | −2.83918 | + | 16.1018i | −0.172468 | + | 0.978115i | 0.768558 | + | 0.639780i | \(0.220975\pi\) |
−0.941026 | + | 0.338335i | \(0.890136\pi\) | |||||||
\(272\) | −3.71420 | − | 1.35186i | −0.225207 | − | 0.0819685i | ||||
\(273\) | 40.3059 | − | 2.53794i | 2.43942 | − | 0.153603i | ||||
\(274\) | −0.0278035 | − | 0.0160524i | −0.00167967 | − | 0.000969760i | ||||
\(275\) | −8.57197 | + | 1.01096i | −0.516909 | + | 0.0609631i | ||||
\(276\) | −3.27377 | + | 0.792189i | −0.197058 | + | 0.0476842i | ||||
\(277\) | −15.0450 | − | 8.68623i | −0.903966 | − | 0.521905i | −0.0254811 | − | 0.999675i | \(-0.508112\pi\) |
−0.878485 | + | 0.477770i | \(0.841445\pi\) | |||||||
\(278\) | −23.0809 | + | 13.3258i | −1.38430 | + | 0.799226i | ||||
\(279\) | −7.68480 | + | 2.37972i | −0.460077 | + | 0.142470i | ||||
\(280\) | −23.3898 | + | 7.76403i | −1.39781 | + | 0.463990i | ||||
\(281\) | −3.64982 | − | 20.6992i | −0.217730 | − | 1.23481i | −0.876105 | − | 0.482120i | \(-0.839867\pi\) |
0.658375 | − | 0.752690i | \(-0.271244\pi\) | |||||||
\(282\) | −2.66250 | + | 23.7478i | −0.158549 | + | 1.41416i | ||||
\(283\) | −11.9205 | + | 14.2063i | −0.708598 | + | 0.844475i | −0.993470 | − | 0.114091i | \(-0.963605\pi\) |
0.284872 | + | 0.958566i | \(0.408049\pi\) | |||||||
\(284\) | −0.240418 | −0.0142662 | ||||||||
\(285\) | −15.3081 | + | 7.11768i | −0.906775 | + | 0.421615i | ||||
\(286\) | 14.3750 | 0.850010 | ||||||||
\(287\) | −14.9961 | + | 17.8717i | −0.885193 | + | 1.05493i | ||||
\(288\) | 2.30975 | − | 3.58484i | 0.136103 | − | 0.211239i | ||||
\(289\) | −2.81450 | − | 15.9618i | −0.165559 | − | 0.938932i | ||||
\(290\) | −1.63929 | − | 4.93851i | −0.0962627 | − | 0.289999i | ||||
\(291\) | −2.15843 | − | 2.26634i | −0.126530 | − | 0.132855i | ||||
\(292\) | 2.98231 | − | 1.72184i | 0.174526 | − | 0.100763i | ||||
\(293\) | 9.73157 | + | 5.61853i | 0.568525 | + | 0.328238i | 0.756560 | − | 0.653924i | \(-0.226879\pi\) |
−0.188035 | + | 0.982162i | \(0.560212\pi\) | |||||||
\(294\) | −6.51927 | − | 26.9413i | −0.380212 | − | 1.57125i | ||||
\(295\) | 5.22434 | + | 2.07235i | 0.304173 | + | 0.120657i | ||||
\(296\) | 0.298339 | + | 0.172246i | 0.0173406 | + | 0.0100116i | ||||
\(297\) | −5.86224 | − | 6.78933i | −0.340162 | − | 0.393957i | ||||
\(298\) | −31.0652 | − | 11.3068i | −1.79956 | − | 0.654985i | ||||
\(299\) | −7.41272 | + | 42.0396i | −0.428688 | + | 2.43121i | ||||
\(300\) | −1.41656 | − | 1.66862i | −0.0817848 | − | 0.0963376i | ||||
\(301\) | −19.3822 | + | 7.05455i | −1.11717 | + | 0.406617i | ||||
\(302\) | −18.7077 | − | 15.6977i | −1.07651 | − | 0.903299i | ||||
\(303\) | −5.85862 | + | 11.8037i | −0.336569 | + | 0.678102i | ||||
\(304\) | −16.2425 | + | 10.5361i | −0.931573 | + | 0.604288i | ||||
\(305\) | 8.76620 | + | 16.2377i | 0.501951 | + | 0.929768i | ||||
\(306\) | −4.00221 | − | 0.195323i | −0.228791 | − | 0.0111659i | ||||
\(307\) | 20.9350 | − | 7.61971i | 1.19482 | − | 0.434880i | 0.333408 | − | 0.942783i | \(-0.391801\pi\) |
0.861414 | + | 0.507903i | \(0.169579\pi\) | |||||||
\(308\) | −0.318409 | − | 1.80579i | −0.0181430 | − | 0.102894i | ||||
\(309\) | 11.9313 | − | 16.1850i | 0.678750 | − | 0.920735i | ||||
\(310\) | 1.30900 | + | 8.90417i | 0.0743462 | + | 0.505723i | ||||
\(311\) | −13.2348 | + | 7.64109i | −0.750474 | + | 0.433287i | −0.825865 | − | 0.563867i | \(-0.809313\pi\) |
0.0753909 | + | 0.997154i | \(0.475980\pi\) | |||||||
\(312\) | −13.9470 | − | 20.9896i | −0.789594 | − | 1.18830i | ||||
\(313\) | 7.19118 | + | 8.57011i | 0.406470 | + | 0.484412i | 0.929981 | − | 0.367607i | \(-0.119823\pi\) |
−0.523512 | + | 0.852018i | \(0.675378\pi\) | |||||||
\(314\) | −6.31562 | + | 5.29944i | −0.356411 | + | 0.299065i | ||||
\(315\) | −22.9321 | + | 16.3991i | −1.29208 | + | 0.923984i | ||||
\(316\) | 1.33615 | − | 0.771427i | 0.0751644 | − | 0.0433962i | ||||
\(317\) | 8.75176 | − | 24.0453i | 0.491548 | − | 1.35052i | −0.407715 | − | 0.913109i | \(-0.633674\pi\) |
0.899263 | − | 0.437408i | \(-0.144103\pi\) | |||||||
\(318\) | 10.6589 | − | 14.4590i | 0.597723 | − | 0.810821i | ||||
\(319\) | −2.63581 | + | 0.464765i | −0.147577 | + | 0.0260218i | ||||
\(320\) | 11.2798 | + | 10.0277i | 0.630562 | + | 0.560565i | ||||
\(321\) | −17.7822 | + | 7.76994i | −0.992504 | + | 0.433676i | ||||
\(322\) | 48.5342 | 2.70470 | ||||||||
\(323\) | 3.45528 | + | 1.76280i | 0.192257 | + | 0.0980847i | ||||
\(324\) | 0.611251 | − | 2.19102i | 0.0339584 | − | 0.121723i | ||||
\(325\) | −26.5666 | + | 7.98365i | −1.47365 | + | 0.442853i | ||||
\(326\) | 12.4785 | − | 4.54181i | 0.691122 | − | 0.251548i | ||||
\(327\) | −15.2942 | − | 4.50046i | −0.845771 | − | 0.248876i | ||||
\(328\) | 14.3367 | + | 2.52795i | 0.791612 | + | 0.139583i | ||||
\(329\) | 13.2129 | − | 36.3021i | 0.728451 | − | 2.00140i | ||||
\(330\) | −8.51320 | + | 5.31264i | −0.468636 | + | 0.292451i | ||||
\(331\) | 29.2788 | + | 16.9041i | 1.60931 | + | 0.929136i | 0.989525 | + | 0.144364i | \(0.0461138\pi\) |
0.619786 | + | 0.784771i | \(0.287220\pi\) | |||||||
\(332\) | 2.01043 | − | 1.68696i | 0.110337 | − | 0.0925837i | ||||
\(333\) | 0.384299 | + | 0.0872685i | 0.0210595 | + | 0.00478228i | ||||
\(334\) | −2.58245 | + | 4.47294i | −0.141306 | + | 0.244748i | ||||
\(335\) | −6.09627 | + | 9.89508i | −0.333075 | + | 0.540626i | ||||
\(336\) | −23.4124 | + | 22.2977i | −1.27725 | + | 1.21644i | ||||
\(337\) | −1.77147 | + | 10.0465i | −0.0964979 | + | 0.547267i | 0.897780 | + | 0.440444i | \(0.145179\pi\) |
−0.994278 | + | 0.106823i | \(0.965932\pi\) | |||||||
\(338\) | 26.2823 | − | 4.63427i | 1.42957 | − | 0.252071i | ||||
\(339\) | 0.586702 | − | 5.23303i | 0.0318653 | − | 0.284219i | ||||
\(340\) | −0.101444 | + | 0.492588i | −0.00550158 | + | 0.0267143i | ||||
\(341\) | 4.62920 | 0.250685 | ||||||||
\(342\) | −12.5696 | + | 15.0739i | −0.679688 | + | 0.815105i | ||||
\(343\) | 15.3923i | 0.831105i | ||||||||
\(344\) | 9.85957 | + | 8.27316i | 0.531592 | + | 0.446059i | ||||
\(345\) | −11.1468 | − | 27.6364i | −0.600124 | − | 1.48789i | ||||
\(346\) | −5.23476 | − | 29.6878i | −0.281422 | − | 1.59603i | ||||
\(347\) | 5.20184 | − | 29.5011i | 0.279249 | − | 1.58370i | −0.445883 | − | 0.895091i | \(-0.647110\pi\) |
0.725132 | − | 0.688610i | \(-0.241779\pi\) | |||||||
\(348\) | −0.468085 | − | 0.491487i | −0.0250920 | − | 0.0263465i | ||||
\(349\) | −8.54495 | − | 14.8003i | −0.457401 | − | 0.792241i | 0.541422 | − | 0.840751i | \(-0.317886\pi\) |
−0.998823 | + | 0.0485099i | \(0.984553\pi\) | |||||||
\(350\) | 14.1841 | + | 28.1698i | 0.758173 | + | 1.50574i | ||||
\(351\) | −22.3434 | − | 18.2170i | −1.19260 | − | 0.972352i | ||||
\(352\) | −1.87980 | + | 1.57734i | −0.100194 | + | 0.0840725i | ||||
\(353\) | 1.04832 | − | 1.81575i | 0.0557966 | − | 0.0966426i | −0.836778 | − | 0.547542i | \(-0.815563\pi\) |
0.892575 | + | 0.450900i | \(0.148897\pi\) | |||||||
\(354\) | 6.52132 | − | 0.410628i | 0.346604 | − | 0.0218246i | ||||
\(355\) | −0.309369 | − | 2.10441i | −0.0164196 | − | 0.111691i | ||||
\(356\) | 0.0965990 | − | 0.547840i | 0.00511974 | − | 0.0290355i | ||||
\(357\) | 6.21433 | + | 1.82862i | 0.328897 | + | 0.0967810i | ||||
\(358\) | −3.98349 | − | 10.9445i | −0.210534 | − | 0.578437i | ||||
\(359\) | −13.0688 | + | 15.5748i | −0.689746 | + | 0.822008i | −0.991325 | − | 0.131433i | \(-0.958042\pi\) |
0.301579 | + | 0.953441i | \(0.402486\pi\) | |||||||
\(360\) | 16.0170 | + | 7.27603i | 0.844168 | + | 0.383481i | ||||
\(361\) | 17.0857 | − | 8.31145i | 0.899245 | − | 0.437445i | ||||
\(362\) | −8.33483 | −0.438069 | ||||||||
\(363\) | −5.56191 | − | 12.7289i | −0.291925 | − | 0.668094i | ||||
\(364\) | −2.01557 | − | 5.53772i | −0.105644 | − | 0.290256i | ||||
\(365\) | 18.9091 | + | 23.8889i | 0.989747 | + | 1.25040i | ||||
\(366\) | 17.2684 | + | 12.7299i | 0.902632 | + | 0.665405i | ||||
\(367\) | −1.65724 | + | 4.55323i | −0.0865073 | + | 0.237677i | −0.975402 | − | 0.220436i | \(-0.929252\pi\) |
0.888894 | + | 0.458113i | \(0.151474\pi\) | |||||||
\(368\) | −17.0874 | − | 29.5962i | −0.890742 | − | 1.54281i | ||||
\(369\) | 16.5220 | − | 2.08896i | 0.860101 | − | 0.108747i | ||||
\(370\) | 0.162558 | − | 0.409803i | 0.00845097 | − | 0.0213047i | ||||
\(371\) | −22.2457 | + | 18.6664i | −1.15494 | + | 0.969111i | ||||
\(372\) | 0.649682 | + | 0.977740i | 0.0336845 | + | 0.0506935i | ||||
\(373\) | −4.88371 | − | 8.45884i | −0.252869 | − | 0.437982i | 0.711445 | − | 0.702741i | \(-0.248041\pi\) |
−0.964315 | + | 0.264759i | \(0.914708\pi\) | |||||||
\(374\) | 2.16667 | + | 0.788602i | 0.112036 | + | 0.0407776i | ||||
\(375\) | 12.7828 | − | 14.5465i | 0.660102 | − | 0.751176i | ||||
\(376\) | −23.7402 | + | 4.18604i | −1.22431 | + | 0.215878i | ||||
\(377\) | −8.08313 | + | 2.94202i | −0.416302 | + | 0.151522i | ||||
\(378\) | −15.9859 | + | 28.6139i | −0.822226 | + | 1.47174i | ||||
\(379\) | 6.22701i | 0.319860i | 0.987128 | + | 0.159930i | \(0.0511269\pi\) | ||||
−0.987128 | + | 0.159930i | \(0.948873\pi\) | |||||||
\(380\) | 1.62695 | + | 1.84973i | 0.0834609 | + | 0.0948893i | ||||
\(381\) | 1.16906 | + | 0.580250i | 0.0598927 | + | 0.0297271i | ||||
\(382\) | −0.0138966 | − | 0.0116606i | −0.000711013 | − | 0.000596611i | ||||
\(383\) | −6.54307 | − | 17.9769i | −0.334335 | − | 0.918579i | −0.986970 | − | 0.160906i | \(-0.948558\pi\) |
0.652634 | − | 0.757673i | \(-0.273664\pi\) | |||||||
\(384\) | 21.5571 | + | 6.34338i | 1.10008 | + | 0.323709i | ||||
\(385\) | 15.3966 | − | 5.11075i | 0.784681 | − | 0.260468i | ||||
\(386\) | −9.83700 | + | 27.0269i | −0.500690 | + | 1.37563i | ||||
\(387\) | 13.5737 | + | 5.70419i | 0.689990 | + | 0.289960i | ||||
\(388\) | −0.228346 | + | 0.395506i | −0.0115925 | + | 0.0200788i | ||||
\(389\) | 1.99203 | + | 2.37401i | 0.101000 | + | 0.120367i | 0.814177 | − | 0.580617i | \(-0.197189\pi\) |
−0.713177 | + | 0.700984i | \(0.752744\pi\) | |||||||
\(390\) | −23.9799 | + | 21.5659i | −1.21427 | + | 1.09203i | ||||
\(391\) | −3.42354 | + | 5.92975i | −0.173136 | + | 0.299880i | ||||
\(392\) | 24.2160 | − | 13.9811i | 1.22309 | − | 0.706152i | ||||
\(393\) | 22.9716 | − | 21.8779i | 1.15877 | − | 1.10359i | ||||
\(394\) | 18.8301 | + | 3.32025i | 0.948644 | + | 0.167272i | ||||
\(395\) | 8.47176 | + | 10.7028i | 0.426261 | + | 0.538518i | ||||
\(396\) | −0.708933 | + | 1.10030i | −0.0356252 | + | 0.0552922i | ||||
\(397\) | 7.42664 | − | 8.85072i | 0.372732 | − | 0.444205i | −0.546774 | − | 0.837280i | \(-0.684144\pi\) |
0.919506 | + | 0.393075i | \(0.128589\pi\) | |||||||
\(398\) | 21.9959i | 1.10255i | ||||||||
\(399\) | 25.4818 | − | 18.9061i | 1.27568 | − | 0.946490i | ||||
\(400\) | 12.1842 | − | 18.5672i | 0.609210 | − | 0.928361i | ||||
\(401\) | −19.5983 | − | 16.4449i | −0.978691 | − | 0.821219i | 0.00520024 | − | 0.999986i | \(-0.498345\pi\) |
−0.983891 | + | 0.178767i | \(0.942789\pi\) | |||||||
\(402\) | −1.50548 | + | 13.4280i | −0.0750864 | + | 0.669726i | ||||
\(403\) | 14.6517 | − | 2.58349i | 0.729853 | − | 0.128693i | ||||
\(404\) | 1.89368 | + | 0.333906i | 0.0942140 | + | 0.0166125i | ||||
\(405\) | 19.9648 | + | 2.53097i | 0.992060 | + | 0.125765i | ||||
\(406\) | 4.88995 | + | 8.46964i | 0.242684 | + | 0.420341i | ||||
\(407\) | −0.196385 | − | 0.113383i | −0.00973443 | − | 0.00562017i | ||||
\(408\) | −0.950686 | − | 3.92877i | −0.0470660 | − | 0.194503i | ||||
\(409\) | 21.3550 | + | 25.4499i | 1.05593 | + | 1.25841i | 0.964914 | + | 0.262565i | \(0.0845685\pi\) |
0.0910206 | + | 0.995849i | \(0.470987\pi\) | |||||||
\(410\) | 0.532179 | − | 18.6230i | 0.0262825 | − | 0.919723i | ||||
\(411\) | −0.00232824 | − | 0.0369756i | −0.000114844 | − | 0.00182387i | ||||
\(412\) | −2.75716 | − | 1.00352i | −0.135836 | − | 0.0494401i | ||||
\(413\) | −10.4029 | − | 1.83432i | −0.511895 | − | 0.0902609i | ||||
\(414\) | −25.4227 | − | 23.5367i | −1.24946 | − | 1.15677i | ||||
\(415\) | 17.3532 | + | 15.4268i | 0.851833 | + | 0.757274i | ||||
\(416\) | −5.06940 | + | 6.04147i | −0.248548 | + | 0.296208i | ||||
\(417\) | −27.5490 | − | 13.6737i | −1.34908 | − | 0.669602i | ||||
\(418\) | 9.47501 | − | 6.14620i | 0.463438 | − | 0.300621i | ||||
\(419\) | − | 16.0209i | − | 0.782673i | −0.920248 | − | 0.391336i | \(-0.872013\pi\) | ||
0.920248 | − | 0.391336i | \(-0.127987\pi\) | |||||||
\(420\) | 3.24027 | + | 2.53466i | 0.158109 | + | 0.123679i | ||||
\(421\) | 6.02882 | + | 16.5640i | 0.293827 | + | 0.807282i | 0.995498 | + | 0.0947814i | \(0.0302152\pi\) |
−0.701671 | + | 0.712501i | \(0.747563\pi\) | |||||||
\(422\) | −2.01220 | − | 11.4118i | −0.0979524 | − | 0.555516i | ||||
\(423\) | −24.5258 | + | 12.6078i | −1.19249 | + | 0.613012i | ||||
\(424\) | 17.0281 | + | 6.19771i | 0.826956 | + | 0.300987i | ||||
\(425\) | −4.44223 | − | 0.254094i | −0.215480 | − | 0.0123254i | ||||
\(426\) | −1.36859 | − | 2.05965i | −0.0663082 | − | 0.0997905i | ||||
\(427\) | −22.2932 | − | 26.5680i | −1.07885 | − | 1.28572i | ||||
\(428\) | 1.82017 | + | 2.16920i | 0.0879813 | + | 0.104852i | ||||
\(429\) | 9.18076 | + | 13.8166i | 0.443251 | + | 0.667071i | ||||
\(430\) | 8.63984 | − | 14.0236i | 0.416650 | − | 0.676280i | ||||
\(431\) | 6.63742 | + | 2.41582i | 0.319713 | + | 0.116366i | 0.496891 | − | 0.867813i | \(-0.334475\pi\) |
−0.177178 | + | 0.984179i | \(0.556697\pi\) | |||||||
\(432\) | 23.0770 | − | 0.325843i | 1.11029 | − | 0.0156771i | ||||
\(433\) | 3.63282 | + | 20.6027i | 0.174582 | + | 0.990104i | 0.938625 | + | 0.344939i | \(0.112100\pi\) |
−0.764043 | + | 0.645165i | \(0.776789\pi\) | |||||||
\(434\) | −5.78534 | − | 15.8951i | −0.277705 | − | 0.762989i | ||||
\(435\) | 3.69972 | − | 4.72966i | 0.177388 | − | 0.226770i | ||||
\(436\) | 2.32636i | 0.111412i | ||||||||
\(437\) | 13.0886 | + | 30.8790i | 0.626113 | + | 1.47714i | ||||
\(438\) | 31.7278 | + | 15.7477i | 1.51601 | + | 0.752456i | ||||
\(439\) | 4.24144 | − | 5.05475i | 0.202433 | − | 0.241250i | −0.655271 | − | 0.755394i | \(-0.727446\pi\) |
0.857704 | + | 0.514144i | \(0.171890\pi\) | |||||||
\(440\) | −7.56561 | − | 6.72578i | −0.360676 | − | 0.320639i | ||||
\(441\) | 21.7312 | − | 23.4724i | 1.03482 | − | 1.11774i | ||||
\(442\) | 7.29774 | + | 1.28679i | 0.347118 | + | 0.0612063i | ||||
\(443\) | −16.2280 | − | 5.90651i | −0.771015 | − | 0.280627i | −0.0735943 | − | 0.997288i | \(-0.523447\pi\) |
−0.697421 | + | 0.716662i | \(0.745669\pi\) | |||||||
\(444\) | −0.00361376 | − | 0.0573913i | −0.000171501 | − | 0.00272367i | ||||
\(445\) | 4.91962 | + | 0.140586i | 0.233213 | + | 0.00666440i | ||||
\(446\) | 3.02591 | + | 3.60614i | 0.143281 | + | 0.170756i | ||||
\(447\) | −8.97256 | − | 37.0797i | −0.424388 | − | 1.75381i | ||||
\(448\) | −24.5662 | − | 14.1833i | −1.16065 | − | 0.670099i | ||||
\(449\) | −4.22839 | − | 7.32379i | −0.199550 | − | 0.345631i | 0.748833 | − | 0.662759i | \(-0.230615\pi\) |
−0.948383 | + | 0.317128i | \(0.897281\pi\) | |||||||
\(450\) | 6.23121 | − | 21.6342i | 0.293742 | − | 1.01985i | ||||
\(451\) | −9.43729 | − | 1.66405i | −0.444384 | − | 0.0783570i | ||||
\(452\) | −0.756719 | + | 0.133430i | −0.0355931 | + | 0.00627602i | ||||
\(453\) | 3.13996 | − | 28.0066i | 0.147528 | − | 1.31586i | ||||
\(454\) | 3.10275 | + | 2.60351i | 0.145619 | + | 0.122189i | ||||
\(455\) | 45.8788 | − | 24.7685i | 2.15083 | − | 1.16116i | ||||
\(456\) | −18.1673 | − | 7.87167i | −0.850760 | − | 0.368625i | ||||
\(457\) | 5.58194i | 0.261112i | 0.991441 | + | 0.130556i | \(0.0416762\pi\) | ||||
−0.991441 | + | 0.130556i | \(0.958324\pi\) | |||||||
\(458\) | −11.6310 | + | 13.8613i | −0.543482 | + | 0.647696i | ||||
\(459\) | −2.36833 | − | 3.97150i | −0.110544 | − | 0.185374i | ||||
\(460\) | −3.40955 | + | 2.69880i | −0.158971 | + | 0.125832i | ||||
\(461\) | 9.14309 | + | 1.61217i | 0.425836 | + | 0.0750864i | 0.382459 | − | 0.923972i | \(-0.375077\pi\) |
0.0433769 | + | 0.999059i | \(0.486188\pi\) | |||||||
\(462\) | 13.6576 | − | 13.0073i | 0.635407 | − | 0.605153i | ||||
\(463\) | 4.71748 | − | 2.72364i | 0.219240 | − | 0.126578i | −0.386358 | − | 0.922349i | \(-0.626267\pi\) |
0.605598 | + | 0.795771i | \(0.292934\pi\) | |||||||
\(464\) | 3.44320 | − | 5.96380i | 0.159847 | − | 0.276863i | ||||
\(465\) | −7.72228 | + | 6.94491i | −0.358112 | + | 0.322062i | ||||
\(466\) | 1.29000 | + | 1.53737i | 0.0597582 | + | 0.0712171i | ||||
\(467\) | −1.62526 | + | 2.81504i | −0.0752082 | + | 0.130265i | −0.901177 | − | 0.433452i | \(-0.857295\pi\) |
0.825969 | + | 0.563716i | \(0.190629\pi\) | |||||||
\(468\) | −1.62975 | + | 3.87816i | −0.0753354 | + | 0.179268i | ||||
\(469\) | 7.47109 | − | 20.5266i | 0.344983 | − | 0.947832i | ||||
\(470\) | 9.71907 | + | 29.2795i | 0.448307 | + | 1.35056i | ||||
\(471\) | −9.12714 | − | 2.68575i | −0.420556 | − | 0.123753i | ||||
\(472\) | 2.25446 | + | 6.19408i | 0.103770 | + | 0.285106i | ||||
\(473\) | −6.49016 | − | 5.44589i | −0.298418 | − | 0.250402i | ||||
\(474\) | 14.2149 | + | 7.05539i | 0.652910 | + | 0.324065i | ||||
\(475\) | −14.0974 | + | 16.6212i | −0.646833 | + | 0.762632i | ||||
\(476\) | − | 0.945245i | − | 0.0433252i | ||||||
\(477\) | 20.7048 | + | 1.01047i | 0.948009 | + | 0.0462664i | ||||
\(478\) | 13.0686 | − | 4.75659i | 0.597745 | − | 0.217561i | ||||
\(479\) | −28.0465 | + | 4.94535i | −1.28148 | + | 0.225959i | −0.772607 | − | 0.634885i | \(-0.781048\pi\) |
−0.508869 | + | 0.860844i | \(0.669936\pi\) | |||||||
\(480\) | 0.769435 | − | 5.45142i | 0.0351198 | − | 0.248822i | ||||
\(481\) | −0.684847 | − | 0.249264i | −0.0312263 | − | 0.0113655i | ||||
\(482\) | −6.92064 | − | 11.9869i | −0.315227 | − | 0.545989i | ||||
\(483\) | 30.9970 | + | 46.6489i | 1.41041 | + | 2.12260i | ||||
\(484\) | −1.55276 | + | 1.30292i | −0.0705801 | + | 0.0592238i | ||||
\(485\) | −3.75576 | − | 1.48980i | −0.170540 | − | 0.0676486i | ||||
\(486\) | 22.2499 | − | 7.23585i | 1.00928 | − | 0.328225i | ||||
\(487\) | 9.88944 | + | 17.1290i | 0.448133 | + | 0.776190i | 0.998265 | − | 0.0588885i | \(-0.0187556\pi\) |
−0.550131 | + | 0.835078i | \(0.685422\pi\) | |||||||
\(488\) | −7.40191 | + | 20.3366i | −0.335069 | + | 0.920594i | ||||
\(489\) | 12.3350 | + | 9.09312i | 0.557806 | + | 0.411205i | ||||
\(490\) | −22.2097 | − | 28.0587i | −1.00333 | − | 1.26756i | ||||
\(491\) | 5.48791 | + | 15.0779i | 0.247666 | + | 0.680457i | 0.999771 | + | 0.0214132i | \(0.00681655\pi\) |
−0.752105 | + | 0.659044i | \(0.770961\pi\) | |||||||
\(492\) | −0.973005 | − | 2.22680i | −0.0438664 | − | 0.100392i | ||||
\(493\) | −1.37973 | −0.0621397 | ||||||||
\(494\) | 26.5589 | − | 24.7410i | 1.19494 | − | 1.11315i | ||||
\(495\) | −10.5433 | − | 4.78952i | −0.473887 | − | 0.215273i | ||||
\(496\) | −7.65602 | + | 9.12409i | −0.343765 | + | 0.409684i | ||||
\(497\) | 1.36731 | + | 3.75665i | 0.0613322 | + | 0.168509i | ||||
\(498\) | 25.8965 | + | 7.62030i | 1.16045 | + | 0.341474i | ||||
\(499\) | 5.26842 | − | 29.8787i | 0.235847 | − | 1.33756i | −0.604975 | − | 0.796244i | \(-0.706817\pi\) |
0.840823 | − | 0.541311i | \(-0.182072\pi\) | |||||||
\(500\) | −2.56286 | − | 1.19022i | −0.114614 | − | 0.0532280i | ||||
\(501\) | −5.94851 | + | 0.374560i | −0.265760 | + | 0.0167341i | ||||
\(502\) | −16.7590 | + | 29.0274i | −0.747991 | + | 1.29556i | ||||
\(503\) | 24.2643 | − | 20.3602i | 1.08189 | − | 0.907816i | 0.0858162 | − | 0.996311i | \(-0.472650\pi\) |
0.996077 | + | 0.0884951i | \(0.0282058\pi\) | |||||||
\(504\) | −32.2434 | − | 7.32200i | −1.43624 | − | 0.326148i | ||||
\(505\) | −0.485951 | + | 17.0053i | −0.0216246 | + | 0.756725i | ||||
\(506\) | 9.96786 | + | 17.2648i | 0.443126 | + | 0.767516i | ||||
\(507\) | 21.2397 | + | 22.3016i | 0.943290 | + | 0.990449i | ||||
\(508\) | 0.0330708 | − | 0.187554i | 0.00146728 | − | 0.00832136i | ||||
\(509\) | 7.12913 | + | 40.4313i | 0.315993 | + | 1.79209i | 0.566595 | + | 0.823996i | \(0.308260\pi\) |
−0.250602 | + | 0.968090i | \(0.580629\pi\) | |||||||
\(510\) | −4.79745 | + | 1.93500i | −0.212435 | + | 0.0856832i | ||||
\(511\) | −43.8656 | − | 36.8076i | −1.94050 | − | 1.62827i | ||||
\(512\) | 16.9823i | 0.750520i | ||||||||
\(513\) | −22.5161 | − | 2.45422i | −0.994112 | − | 0.108356i | ||||
\(514\) | 31.4245 | 1.38607 | ||||||||
\(515\) | 5.23608 | − | 25.4251i | 0.230729 | − | 1.12037i | ||||
\(516\) | 0.239377 | − | 2.13510i | 0.0105380 | − | 0.0939925i | ||||
\(517\) | 15.6272 | − | 2.75550i | 0.687285 | − | 0.121187i | ||||
\(518\) | −0.143886 | + | 0.816018i | −0.00632199 | + | 0.0358538i | ||||
\(519\) | 25.1913 | − | 23.9919i | 1.10578 | − | 1.05313i | ||||
\(520\) | −27.6992 | − | 17.0652i | −1.21469 | − | 0.748360i | ||||
\(521\) | 3.88875 | − | 6.73552i | 0.170369 | − | 0.295088i | −0.768180 | − | 0.640234i | \(-0.778837\pi\) |
0.938549 | + | 0.345146i | \(0.112171\pi\) | |||||||
\(522\) | 1.54596 | − | 6.80787i | 0.0676650 | − | 0.297972i | ||||
\(523\) | 20.5056 | − | 17.2063i | 0.896649 | − | 0.752378i | −0.0728838 | − | 0.997340i | \(-0.523220\pi\) |
0.969532 | + | 0.244963i | \(0.0787758\pi\) | |||||||
\(524\) | −4.00885 | − | 2.31451i | −0.175128 | − | 0.101110i | ||||
\(525\) | −18.0167 | + | 31.6241i | −0.786313 | + | 1.38019i | ||||
\(526\) | −9.98627 | + | 27.4370i | −0.435422 | + | 1.19631i | ||||
\(527\) | 2.35010 | + | 0.414387i | 0.102372 | + | 0.0180510i | ||||
\(528\) | −12.7403 | − | 3.74894i | −0.554449 | − | 0.163152i | ||||
\(529\) | −34.0182 | + | 12.3816i | −1.47905 | + | 0.538331i | ||||
\(530\) | 4.67769 | − | 22.7137i | 0.203186 | − | 0.986620i | ||||
\(531\) | 4.55960 | + | 6.00575i | 0.197870 | + | 0.260627i | ||||
\(532\) | −3.69625 | − | 2.78831i | −0.160253 | − | 0.120889i | ||||
\(533\) | −30.7983 | −1.33402 | ||||||||
\(534\) | 5.24322 | − | 2.29103i | 0.226896 | − | 0.0991426i | ||||
\(535\) | −16.6451 | + | 18.7235i | −0.719629 | + | 0.809488i | ||||
\(536\) | −13.4236 | + | 2.36695i | −0.579813 | + | 0.102237i | ||||
\(537\) | 7.97530 | − | 10.8186i | 0.344160 | − | 0.466858i | ||||
\(538\) | 1.79581 | − | 4.93396i | 0.0774231 | − | 0.212718i | ||||
\(539\) | −15.9404 | + | 9.20321i | −0.686603 | + | 0.396410i | ||||
\(540\) | −0.468095 | − | 2.89906i | −0.0201436 | − | 0.124756i | ||||
\(541\) | −2.08036 | + | 1.74563i | −0.0894416 | + | 0.0750504i | −0.686412 | − | 0.727213i | \(-0.740815\pi\) |
0.596971 | + | 0.802263i | \(0.296371\pi\) | |||||||
\(542\) | 15.7742 | + | 18.7989i | 0.677558 | + | 0.807483i | ||||
\(543\) | −5.32314 | − | 8.01107i | −0.228438 | − | 0.343788i | ||||
\(544\) | −1.09551 | + | 0.632496i | −0.0469698 | + | 0.0271180i | ||||
\(545\) | −20.3629 | + | 2.99355i | −0.872252 | + | 0.128230i | ||||
\(546\) | 35.9678 | − | 48.7909i | 1.53928 | − | 2.08806i | ||||
\(547\) | −3.03895 | − | 17.2347i | −0.129936 | − | 0.736904i | −0.978253 | − | 0.207415i | \(-0.933495\pi\) |
0.848317 | − | 0.529489i | \(-0.177616\pi\) | |||||||
\(548\) | −0.00508017 | + | 0.00184903i | −0.000217014 | + | 7.89866e-5i | ||||
\(549\) | −1.20681 | + | 24.7277i | −0.0515052 | + | 1.05535i | ||||
\(550\) | −7.10760 | + | 10.8311i | −0.303069 | + | 0.461840i | ||||
\(551\) | −4.06995 | + | 5.39522i | −0.173386 | + | 0.229844i | ||||
\(552\) | 15.5381 | − | 31.3054i | 0.661345 | − | 1.33244i | ||||
\(553\) | −19.6529 | − | 16.4907i | −0.835726 | − | 0.701257i | ||||
\(554\) | −24.5021 | + | 8.91803i | −1.04099 | + | 0.378891i | ||||
\(555\) | 0.497704 | − | 0.105483i | 0.0211264 | − | 0.00447749i | ||||
\(556\) | −0.779318 | + | 4.41973i | −0.0330504 | + | 0.187438i | ||||
\(557\) | −24.1959 | − | 8.80659i | −1.02521 | − | 0.373147i | −0.225957 | − | 0.974137i | \(-0.572551\pi\) |
−0.799256 | + | 0.600990i | \(0.794773\pi\) | |||||||
\(558\) | −4.67793 | + | 11.1316i | −0.198033 | + | 0.471239i | ||||
\(559\) | −23.5810 | − | 13.6145i | −0.997372 | − | 0.575833i | ||||
\(560\) | −15.3904 | + | 38.7989i | −0.650365 | + | 1.63955i | ||||
\(561\) | 0.625799 | + | 2.58615i | 0.0264213 | + | 0.109187i | ||||
\(562\) | −27.3205 | − | 15.7735i | −1.15244 | − | 0.665364i | ||||
\(563\) | 1.21692 | − | 0.702587i | 0.0512869 | − | 0.0296105i | −0.474137 | − | 0.880451i | \(-0.657240\pi\) |
0.525424 | + | 0.850840i | \(0.323907\pi\) | |||||||
\(564\) | 2.77519 | + | 2.91393i | 0.116857 | + | 0.122699i | ||||
\(565\) | −2.14167 | − | 6.45197i | −0.0901009 | − | 0.271436i | ||||
\(566\) | 4.83339 | + | 27.4115i | 0.203163 | + | 1.15219i | ||||
\(567\) | −37.7120 | + | 2.90969i | −1.58376 | + | 0.122195i | ||||
\(568\) | 1.60350 | − | 1.91098i | 0.0672814 | − | 0.0801828i | ||||
\(569\) | −37.9732 | −1.59192 | −0.795959 | − | 0.605350i | \(-0.793033\pi\) | ||||
−0.795959 | + | 0.605350i | \(0.793033\pi\) | |||||||
\(570\) | −6.58513 | + | 24.4677i | −0.275821 | + | 1.02484i | ||||
\(571\) | 6.41155 | 0.268315 | 0.134157 | − | 0.990960i | \(-0.457167\pi\) | ||||
0.134157 | + | 0.990960i | \(0.457167\pi\) | |||||||
\(572\) | 1.55596 | − | 1.85432i | 0.0650578 | − | 0.0775329i | ||||
\(573\) | 0.00233245 | − | 0.0208040i | 9.74394e−5 | − | 0.000869101i | ||||
\(574\) | 6.08047 | + | 34.4841i | 0.253794 | + | 1.43934i | ||||
\(575\) | −28.0104 | − | 26.3714i | −1.16811 | − | 1.09976i | ||||
\(576\) | 5.98980 | + | 19.3428i | 0.249575 | + | 0.805949i | ||||
\(577\) | −16.6407 | + | 9.60753i | −0.692763 | + | 0.399967i | −0.804646 | − | 0.593755i | \(-0.797645\pi\) |
0.111883 | + | 0.993721i | \(0.464312\pi\) | |||||||
\(578\) | −21.0677 | − | 12.1635i | −0.876303 | − | 0.505934i | ||||
\(579\) | −32.2596 | + | 7.80620i | −1.34066 | + | 0.324415i | ||||
\(580\) | −0.814486 | − | 0.323084i | −0.0338197 | − | 0.0134153i | ||||
\(581\) | −37.7933 | − | 21.8199i | −1.56793 | − | 0.905244i | ||||
\(582\) | −4.68815 | + | 0.295199i | −0.194330 | + | 0.0122364i | ||||
\(583\) | −11.2089 | − | 4.07971i | −0.464225 | − | 0.168964i | ||||
\(584\) | −6.20478 | + | 35.1891i | −0.256756 | + | 1.45613i | ||||
\(585\) | −36.0433 | − | 9.27506i | −1.49021 | − | 0.383476i | ||||
\(586\) | 15.8487 | − | 5.76846i | 0.654704 | − | 0.238293i | ||||
\(587\) | 31.3413 | + | 26.2985i | 1.29359 | + | 1.08545i | 0.991214 | + | 0.132267i | \(0.0422257\pi\) |
0.302380 | + | 0.953187i | \(0.402219\pi\) | |||||||
\(588\) | −4.18097 | − | 2.07518i | −0.172420 | − | 0.0855790i | ||||
\(589\) | 8.55280 | − | 7.96738i | 0.352412 | − | 0.328290i | ||||
\(590\) | 7.42300 | − | 4.00743i | 0.305600 | − | 0.164983i | ||||
\(591\) | 8.83478 | + | 20.2191i | 0.363414 | + | 0.831704i | ||||
\(592\) | 0.548268 | − | 0.199553i | 0.0225337 | − | 0.00820158i | ||||
\(593\) | −6.76642 | − | 38.3743i | −0.277864 | − | 1.57584i | −0.729716 | − | 0.683750i | \(-0.760348\pi\) |
0.451853 | − | 0.892092i | \(-0.350763\pi\) | |||||||
\(594\) | −13.4618 | + | 0.190079i | −0.552346 | + | 0.00779904i | ||||
\(595\) | 8.27386 | − | 1.21634i | 0.339195 | − | 0.0498650i | ||||
\(596\) | −4.82104 | + | 2.78343i | −0.197478 | + | 0.114014i | ||||
\(597\) | −21.1415 | + | 14.0479i | −0.865263 | + | 0.574944i | ||||
\(598\) | 41.1842 | + | 49.0814i | 1.68415 | + | 2.00709i | ||||
\(599\) | 30.0713 | − | 25.2328i | 1.22868 | − | 1.03098i | 0.230355 | − | 0.973107i | \(-0.426011\pi\) |
0.998324 | − | 0.0578770i | \(-0.0184331\pi\) | |||||||
\(600\) | 22.7110 | − | 0.130510i | 0.927172 | − | 0.00532806i | ||||
\(601\) | 4.81191 | − | 2.77816i | 0.196282 | − | 0.113324i | −0.398638 | − | 0.917108i | \(-0.630517\pi\) |
0.594920 | + | 0.803785i | \(0.297184\pi\) | |||||||
\(602\) | −10.5883 | + | 29.0910i | −0.431545 | + | 1.18566i | ||||
\(603\) | −13.8678 | + | 7.12893i | −0.564743 | + | 0.290313i | ||||
\(604\) | −4.04987 | + | 0.714102i | −0.164787 | + | 0.0290564i | ||||
\(605\) | −13.4027 | − | 11.9149i | −0.544899 | − | 0.484411i | ||||
\(606\) | 7.91923 | + | 18.1238i | 0.321697 | + | 0.736231i | ||||
\(607\) | −6.19006 | −0.251247 | −0.125623 | − | 0.992078i | \(-0.540093\pi\) | ||||
−0.125623 | + | 0.992078i | \(0.540093\pi\) | |||||||
\(608\) | −0.758294 | + | 6.14961i | −0.0307529 | + | 0.249400i | ||||
\(609\) | −5.01762 | + | 10.1092i | −0.203324 | + | 0.409647i | ||||
\(610\) | 27.1269 | + | 5.58655i | 1.09834 | + | 0.226193i | ||||
\(611\) | 47.9234 | − | 17.4427i | 1.93877 | − | 0.705655i | ||||
\(612\) | −0.458398 | + | 0.495128i | −0.0185296 | + | 0.0200144i | ||||
\(613\) | 28.2355 | + | 4.97868i | 1.14042 | + | 0.201087i | 0.711790 | − | 0.702392i | \(-0.247885\pi\) |
0.428632 | + | 0.903479i | \(0.358996\pi\) | |||||||
\(614\) | 11.4365 | − | 31.4216i | 0.461541 | − | 1.26807i | ||||
\(615\) | 18.2395 | − | 11.3823i | 0.735486 | − | 0.458978i | ||||
\(616\) | 16.4771 | + | 9.51303i | 0.663880 | + | 0.383291i | ||||
\(617\) | −3.53599 | + | 2.96704i | −0.142353 | + | 0.119449i | −0.711184 | − | 0.703006i | \(-0.751841\pi\) |
0.568830 | + | 0.822455i | \(0.307396\pi\) | |||||||
\(618\) | −7.09804 | − | 29.3331i | −0.285525 | − | 1.17995i | ||||
\(619\) | −12.4900 | + | 21.6332i | −0.502014 | + | 0.869513i | 0.497984 | + | 0.867186i | \(0.334074\pi\) |
−0.999997 | + | 0.00232676i | \(0.999259\pi\) | |||||||
\(620\) | 1.29029 | + | 0.794936i | 0.0518193 | + | 0.0319254i | ||||
\(621\) | 6.38596 | − | 39.4672i | 0.256260 | − | 1.58376i | ||||
\(622\) | −3.98301 | + | 22.5888i | −0.159704 | + | 0.905727i | ||||
\(623\) | −9.10965 | + | 1.60628i | −0.364970 | + | 0.0643541i | ||||
\(624\) | −42.4160 | − | 4.75548i | −1.69800 | − | 0.190371i | ||||
\(625\) | 7.12024 | − | 23.9646i | 0.284810 | − | 0.958584i | ||||
\(626\) | 16.7915 | 0.671122 | ||||||||
\(627\) | 11.9588 | + | 5.18161i | 0.477588 | + | 0.206933i | ||||
\(628\) | 1.38830i | 0.0553994i | ||||||||
\(629\) | −0.0895490 | − | 0.0751405i | −0.00357055 | − | 0.00299605i | ||||
\(630\) | −3.26907 | + | 42.1879i | −0.130243 | + | 1.68081i | ||||
\(631\) | −0.653873 | − | 3.70830i | −0.0260303 | − | 0.147625i | 0.969023 | − | 0.246972i | \(-0.0794356\pi\) |
−0.995053 | + | 0.0993473i | \(0.968325\pi\) | |||||||
\(632\) | −2.77990 | + | 15.7656i | −0.110579 | + | 0.627122i | ||||
\(633\) | 9.68336 | − | 9.22230i | 0.384879 | − | 0.366553i | ||||
\(634\) | −19.2030 | − | 33.2606i | −0.762649 | − | 1.32095i | ||||
\(635\) | 1.68424 | + | 0.0481297i | 0.0668371 | + | 0.00190997i | ||||
\(636\) | −0.711426 | − | 2.94001i | −0.0282099 | − | 0.116579i | ||||
\(637\) | −45.3162 | + | 38.0248i | −1.79550 | + | 1.50660i | ||||
\(638\) | −2.00858 | + | 3.47896i | −0.0795204 | + | 0.137733i | ||||
\(639\) | 1.10558 | − | 2.63085i | 0.0437362 | − | 0.104075i | ||||
\(640\) | 28.7015 | − | 4.21940i | 1.13453 | − | 0.166786i | ||||
\(641\) | 5.06497 | − | 28.7248i | 0.200054 | − | 1.13456i | −0.704981 | − | 0.709226i | \(-0.749044\pi\) |
0.905035 | − | 0.425337i | \(-0.139844\pi\) | |||||||
\(642\) | −8.22206 | + | 27.9415i | −0.324499 | + | 1.10276i | ||||
\(643\) | 2.80302 | + | 7.70122i | 0.110540 | + | 0.303706i | 0.982612 | − | 0.185672i | \(-0.0594460\pi\) |
−0.872072 | + | 0.489378i | \(0.837224\pi\) | |||||||
\(644\) | 5.25337 | − | 6.26072i | 0.207012 | − | 0.246707i | ||||
\(645\) | 18.9968 | − | 0.652137i | 0.748000 | − | 0.0256779i | ||||
\(646\) | 5.36035 | − | 2.27208i | 0.210900 | − | 0.0893937i | ||||
\(647\) | −33.7275 | −1.32597 | −0.662983 | − | 0.748635i | \(-0.730710\pi\) | ||||
−0.662983 | + | 0.748635i | \(0.730710\pi\) | |||||||
\(648\) | 13.3386 | + | 19.4718i | 0.523990 | + | 0.764926i | ||||
\(649\) | −1.48402 | − | 4.07732i | −0.0582530 | − | 0.160049i | ||||
\(650\) | −16.4513 | + | 38.2478i | −0.645274 | + | 1.50020i | ||||
\(651\) | 11.5828 | − | 15.7122i | 0.453965 | − | 0.615810i | ||||
\(652\) | 0.764807 | − | 2.10129i | 0.0299521 | − | 0.0822928i | ||||
\(653\) | 7.58985 | + | 13.1460i | 0.297014 | + | 0.514443i | 0.975451 | − | 0.220215i | \(-0.0706759\pi\) |
−0.678437 | + | 0.734658i | \(0.737343\pi\) | |||||||
\(654\) | −19.9298 | + | 13.2428i | −0.779318 | + | 0.517836i | ||||
\(655\) | 15.1007 | − | 38.0683i | 0.590032 | − | 1.48745i | ||||
\(656\) | 18.8877 | − | 15.8487i | 0.737441 | − | 0.618787i | ||||
\(657\) | 5.12730 | + | 40.5528i | 0.200035 | + | 1.58212i | ||||
\(658\) | −28.9916 | − | 50.2149i | −1.13021 | − | 1.95758i | ||||
\(659\) | 47.5403 | + | 17.3032i | 1.85191 | + | 0.674038i | 0.984226 | + | 0.176913i | \(0.0566111\pi\) |
0.867679 | + | 0.497125i | \(0.165611\pi\) | |||||||
\(660\) | −0.236164 | + | 1.67321i | −0.00919266 | + | 0.0651297i | ||||
\(661\) | 17.3080 | − | 3.05186i | 0.673201 | − | 0.118704i | 0.173410 | − | 0.984850i | \(-0.444521\pi\) |
0.499791 | + | 0.866146i | \(0.333410\pi\) | |||||||
\(662\) | 47.6831 | − | 17.3552i | 1.85326 | − | 0.674531i | ||||
\(663\) | 3.42399 | + | 7.83609i | 0.132977 | + | 0.304328i | ||||
\(664\) | 27.2314i | 1.05678i | ||||||||
\(665\) | 19.6501 | − | 35.9417i | 0.762000 | − | 1.39376i | ||||
\(666\) | 0.471098 | − | 0.357660i | 0.0182547 | − | 0.0138591i | ||||
\(667\) | −9.13845 | − | 7.66807i | −0.353842 | − | 0.296909i | ||||
\(668\) | 0.297466 | + | 0.817280i | 0.0115093 | + | 0.0316215i | ||||
\(669\) | −1.53353 | + | 5.21147i | −0.0592895 | + | 0.201487i | ||||
\(670\) | 5.49554 | + | 16.5558i | 0.212311 | + | 0.639605i | ||||
\(671\) | 4.87238 | − | 13.3868i | 0.188096 | − | 0.516790i | ||||
\(672\) | 0.650261 | + | 10.3270i | 0.0250844 | + | 0.398374i | ||||
\(673\) | −10.8847 | + | 18.8529i | −0.419574 | + | 0.726724i | −0.995897 | − | 0.0904984i | \(-0.971154\pi\) |
0.576322 | + | 0.817223i | \(0.304487\pi\) | |||||||
\(674\) | 9.84206 | + | 11.7293i | 0.379102 | + | 0.451796i | ||||
\(675\) | 24.7735 | − | 7.82780i | 0.953532 | − | 0.301292i | ||||
\(676\) | 2.24700 | − | 3.89192i | 0.0864232 | − | 0.149689i | ||||
\(677\) | −0.274021 | + | 0.158206i | −0.0105315 | + | 0.00608036i | −0.505257 | − | 0.862969i | \(-0.668602\pi\) |
0.494725 | + | 0.869050i | \(0.335269\pi\) | |||||||
\(678\) | −5.45073 | − | 5.72323i | −0.209334 | − | 0.219799i | ||||
\(679\) | 7.47863 | + | 1.31868i | 0.287003 | + | 0.0506064i | ||||
\(680\) | −3.23877 | − | 4.09171i | −0.124201 | − | 0.156910i | ||||
\(681\) | −0.520774 | + | 4.64499i | −0.0199561 | + | 0.177996i | ||||
\(682\) | 4.46611 | − | 5.32250i | 0.171016 | − | 0.203809i | ||||
\(683\) | − | 1.02138i | − | 0.0390820i | −0.999809 | − | 0.0195410i | \(-0.993780\pi\) | ||
0.999809 | − | 0.0195410i | \(-0.00622049\pi\) | |||||||
\(684\) | 0.583934 | + | 3.25304i | 0.0223273 | + | 0.124383i | ||||
\(685\) | −0.0227219 | − | 0.0420881i | −0.000868161 | − | 0.00160810i | ||||
\(686\) | 17.6975 | + | 14.8500i | 0.675695 | + | 0.566975i | ||||
\(687\) | −20.7512 | − | 2.32652i | −0.791706 | − | 0.0887623i | ||||
\(688\) | 21.4676 | − | 3.78531i | 0.818443 | − | 0.144314i | ||||
\(689\) | −37.7537 | − | 6.65699i | −1.43830 | − | 0.253611i | ||||
\(690\) | −42.5295 | − | 13.8465i | −1.61907 | − | 0.527126i | ||||
\(691\) | −16.7521 | − | 29.0155i | −0.637281 | − | 1.10380i | −0.986027 | − | 0.166585i | \(-0.946726\pi\) |
0.348746 | − | 0.937217i | \(-0.386607\pi\) | |||||||
\(692\) | −4.39622 | − | 2.53816i | −0.167119 | − | 0.0964864i | ||||
\(693\) | 21.2246 | + | 4.81978i | 0.806255 | + | 0.183088i | ||||
\(694\) | −28.9008 | − | 34.4426i | −1.09706 | − | 1.30742i | ||||
\(695\) | −39.6893 | − | 1.13418i | −1.50550 | − | 0.0430220i | ||||
\(696\) | 7.02857 | − | 0.442567i | 0.266417 | − | 0.0167755i | ||||
\(697\) | −4.64206 | − | 1.68957i | −0.175831 | − | 0.0639971i | ||||
\(698\) | −25.2608 | − | 4.45416i | −0.956134 | − | 0.168592i | ||||
\(699\) | −0.653771 | + | 2.22175i | −0.0247279 | + | 0.0840343i | ||||
\(700\) | 5.16909 | + | 1.21942i | 0.195373 | + | 0.0460897i | ||||
\(701\) | 1.96646 | − | 2.34354i | 0.0742723 | − | 0.0885143i | −0.727629 | − | 0.685971i | \(-0.759378\pi\) |
0.801901 | + | 0.597457i | \(0.203822\pi\) | |||||||
\(702\) | −42.5015 | + | 8.11448i | −1.60412 | + | 0.306261i | ||||
\(703\) | −0.557981 | + | 0.128517i | −0.0210446 | + | 0.00484712i | ||||
\(704\) | − | 11.6518i | − | 0.439143i | ||||||
\(705\) | −21.9349 | + | 28.0412i | −0.826118 | + | 1.05609i | ||||
\(706\) | −1.07630 | − | 2.95711i | −0.0405070 | − | 0.111292i | ||||
\(707\) | −5.55229 | − | 31.4886i | −0.208816 | − | 1.18425i | ||||
\(708\) | 0.652902 | − | 0.885671i | 0.0245376 | − | 0.0332856i | ||||
\(709\) | 19.2064 | + | 6.99056i | 0.721312 | + | 0.262536i | 0.676483 | − | 0.736459i | \(-0.263503\pi\) |
0.0448294 | + | 0.998995i | \(0.485726\pi\) | |||||||
\(710\) | −2.71805 | − | 1.67457i | −0.102007 | − | 0.0628455i | ||||
\(711\) | 2.29716 | + | 18.1687i | 0.0861504 | + | 0.681380i | ||||
\(712\) | 3.71026 | + | 4.42172i | 0.139048 | + | 0.165711i | ||||
\(713\) | 13.2626 | + | 15.8058i | 0.496689 | + | 0.591930i | ||||
\(714\) | 8.09788 | − | 5.38083i | 0.303055 | − | 0.201372i | ||||
\(715\) | 18.2333 | + | 11.2334i | 0.681886 | + | 0.420104i | ||||
\(716\) | −1.84298 | − | 0.670789i | −0.0688753 | − | 0.0250686i | ||||
\(717\) | 12.9183 | + | 9.52313i | 0.482441 | + | 0.355648i | ||||
\(718\) | 5.29902 | + | 30.0522i | 0.197758 | + | 1.12154i | ||||
\(719\) | 10.2529 | + | 28.1697i | 0.382370 | + | 1.05055i | 0.970356 | + | 0.241681i | \(0.0776987\pi\) |
−0.587986 | + | 0.808871i | \(0.700079\pi\) | |||||||
\(720\) | 26.8772 | − | 12.8596i | 1.00165 | − | 0.479249i | ||||
\(721\) | 48.7892i | 1.81701i | ||||||||
\(722\) | 6.92749 | − | 27.6632i | 0.257814 | − | 1.02952i | ||||
\(723\) | 7.10133 | − | 14.3074i | 0.264101 | − | 0.532098i | ||||
\(724\) | −0.902167 | + | 1.07516i | −0.0335288 | + | 0.0399580i | ||||
\(725\) | 1.77992 | − | 7.54505i | 0.0661047 | − | 0.280216i | ||||
\(726\) | −20.0012 | − | 5.88555i | −0.742315 | − | 0.218433i | ||||
\(727\) | −22.6307 | − | 3.99040i | −0.839326 | − | 0.147996i | −0.262571 | − | 0.964913i | \(-0.584570\pi\) |
−0.576755 | + | 0.816917i | \(0.695681\pi\) | |||||||
\(728\) | 57.4600 | + | 20.9137i | 2.12961 | + | 0.775114i | ||||
\(729\) | 21.1650 | + | 16.7644i | 0.783888 | + | 0.620903i | ||||
\(730\) | 45.7096 | + | 1.30622i | 1.69179 | + | 0.0483453i | ||||
\(731\) | −2.80736 | − | 3.34569i | −0.103834 | − | 0.123745i | ||||
\(732\) | 3.51125 | − | 0.849655i | 0.129780 | − | 0.0314041i | ||||
\(733\) | −11.4745 | − | 6.62479i | −0.423819 | − | 0.244692i | 0.272891 | − | 0.962045i | \(-0.412020\pi\) |
−0.696710 | + | 0.717353i | \(0.745354\pi\) | |||||||
\(734\) | 3.63630 | + | 6.29826i | 0.134218 | + | 0.232473i | ||||
\(735\) | 12.7843 | − | 39.2670i | 0.471555 | − | 1.44838i | ||||
\(736\) | −10.7712 | − | 1.89926i | −0.397033 | − | 0.0700076i | ||||
\(737\) | 8.83625 | − | 1.55807i | 0.325487 | − | 0.0573922i | ||||
\(738\) | 13.5381 | − | 21.0118i | 0.498344 | − | 0.773456i | ||||
\(739\) | 6.70462 | + | 5.62584i | 0.246633 | + | 0.206950i | 0.757721 | − | 0.652579i | \(-0.226313\pi\) |
−0.511088 | + | 0.859529i | \(0.670757\pi\) | |||||||
\(740\) | −0.0352677 | − | 0.0653266i | −0.00129647 | − | 0.00240145i | ||||
\(741\) | 40.7421 | + | 9.72608i | 1.49670 | + | 0.357297i | ||||
\(742\) | 43.5862i | 1.60010i | ||||||||
\(743\) | −17.5416 | + | 20.9052i | −0.643537 | + | 0.766938i | −0.984924 | − | 0.172985i | \(-0.944659\pi\) |
0.341387 | + | 0.939923i | \(0.389103\pi\) | |||||||
\(744\) | −12.1048 | − | 1.35713i | −0.443782 | − | 0.0497547i | ||||
\(745\) | −30.5674 | − | 38.6175i | −1.11990 | − | 1.41484i | ||||
\(746\) | −14.4373 | − | 2.54569i | −0.528589 | − | 0.0932045i | ||||
\(747\) | 9.21485 | + | 29.7574i | 0.337154 | + | 1.08877i | ||||
\(748\) | 0.336248 | − | 0.194133i | 0.0122944 | − | 0.00709819i | ||||
\(749\) | 23.5430 | − | 40.7777i | 0.860244 | − | 1.48999i | ||||
\(750\) | −4.39259 | − | 28.7312i | −0.160395 | − | 1.04912i | ||||
\(751\) | −2.98658 | − | 3.55926i | −0.108982 | − | 0.129879i | 0.708796 | − | 0.705413i | \(-0.249239\pi\) |
−0.817778 | + | 0.575534i | \(0.804794\pi\) | |||||||
\(752\) | −20.4141 | + | 35.3583i | −0.744426 | + | 1.28938i | ||||
\(753\) | −38.6032 | + | 2.43073i | −1.40678 | + | 0.0885807i | ||||
\(754\) | −4.41572 | + | 12.1321i | −0.160811 | + | 0.441824i | ||||
\(755\) | −11.4620 | − | 34.5302i | −0.417145 | − | 1.25668i | ||||
\(756\) | 1.96076 | + | 5.15930i | 0.0713121 | + | 0.187642i | ||||
\(757\) | −3.75874 | − | 10.3270i | −0.136614 | − | 0.375343i | 0.852455 | − | 0.522801i | \(-0.175113\pi\) |
−0.989068 | + | 0.147458i | \(0.952891\pi\) | |||||||
\(758\) | 7.15961 | + | 6.00763i | 0.260049 | + | 0.218207i | ||||
\(759\) | −10.2281 | + | 20.6071i | −0.371257 | + | 0.747990i | ||||
\(760\) | −25.5539 | + | 0.594896i | −0.926937 | + | 0.0215792i | ||||
\(761\) | 28.1138i | 1.01912i | 0.860434 | + | 0.509562i | \(0.170192\pi\) | ||||
−0.860434 | + | 0.509562i | \(0.829808\pi\) | |||||||
\(762\) | 1.79502 | − | 0.784338i | 0.0650269 | − | 0.0284136i | ||||
\(763\) | 36.3505 | − | 13.2305i | 1.31598 | − | 0.478976i | ||||
\(764\) | −0.00300836 | 0.000530454i | −0.000108838 | 1.91912e-5i | ||||||
\(765\) | −4.92379 | − | 3.37529i | −0.178020 | − | 0.122034i | ||||
\(766\) | −26.9818 | − | 9.82059i | −0.974894 | − | 0.354832i | ||||
\(767\) | −6.97252 | − | 12.0768i | −0.251763 | − | 0.436066i | ||||
\(768\) | 8.61677 | − | 5.72561i | 0.310931 | − | 0.206605i | ||||
\(769\) | 8.36247 | − | 7.01695i | 0.301559 | − | 0.253038i | −0.479434 | − | 0.877578i | \(-0.659158\pi\) |
0.780993 | + | 0.624540i | \(0.214714\pi\) | |||||||
\(770\) | 8.97795 | − | 22.6331i | 0.323543 | − | 0.815642i | ||||
\(771\) | 20.0696 | + | 30.2038i | 0.722790 | + | 1.08776i | ||||
\(772\) | 2.42161 | + | 4.19434i | 0.0871555 | + | 0.150958i | ||||
\(773\) | −7.70845 | + | 21.1788i | −0.277254 | + | 0.761749i | 0.720417 | + | 0.693541i | \(0.243950\pi\) |
−0.997671 | + | 0.0682078i | \(0.978272\pi\) | |||||||
\(774\) | 19.6540 | − | 10.1034i | 0.706447 | − | 0.363158i | ||||
\(775\) | −5.29785 | + | 12.3170i | −0.190304 | + | 0.442440i | ||||
\(776\) | −1.62072 | − | 4.45290i | −0.0581806 | − | 0.159850i | ||||
\(777\) | −0.876215 | + | 0.382863i | −0.0314341 | + | 0.0137351i | ||||
\(778\) | 4.65141 | 0.166761 | ||||||||
\(779\) | −20.3001 | + | 13.1682i | −0.727328 | + | 0.471799i | ||||
\(780\) | 0.186323 | + | 5.42762i | 0.00667144 | + | 0.194340i | ||||
\(781\) | −1.05552 | + | 1.25792i | −0.0377695 | + | 0.0450119i | ||||
\(782\) | 3.51490 | + | 9.65712i | 0.125693 | + | 0.345338i | ||||
\(783\) | 7.53077 | − | 2.86202i | 0.269128 | − | 0.102280i | ||||
\(784\) | 8.22374 | − | 46.6391i | 0.293705 | − | 1.66568i | ||||
\(785\) | −12.1520 | + | 1.78647i | −0.433724 | + | 0.0637617i | ||||
\(786\) | −2.99213 | − | 47.5191i | −0.106726 | − | 1.69495i | ||||
\(787\) | 20.0384 | − | 34.7076i | 0.714293 | − | 1.23719i | −0.248939 | − | 0.968519i | \(-0.580082\pi\) |
0.963232 | − | 0.268672i | \(-0.0865848\pi\) | |||||||
\(788\) | 2.46647 | − | 2.06962i | 0.0878645 | − | 0.0737271i | ||||
\(789\) | −32.7491 | + | 7.92465i | −1.16590 | + | 0.282125i | ||||
\(790\) | 20.4791 | + | 0.585220i | 0.728612 | + | 0.0208212i | ||||
\(791\) | 6.38853 | + | 11.0653i | 0.227150 | + | 0.393435i | ||||
\(792\) | −4.01748 | − | 12.9736i | −0.142755 | − | 0.460996i | ||||
\(793\) | 7.95044 | − | 45.0892i | 0.282328 | − | 1.60116i | ||||
\(794\) | −3.01128 | − | 17.0778i | −0.106866 | − | 0.606068i | ||||
\(795\) | 24.8189 | − | 10.0104i | 0.880235 | − | 0.355032i | ||||
\(796\) | 2.83738 | + | 2.38085i | 0.100568 | + | 0.0843869i | ||||
\(797\) | 14.0074i | 0.496168i | 0.968738 | + | 0.248084i | \(0.0798009\pi\) | ||||
−0.968738 | + | 0.248084i | \(0.920199\pi\) | |||||||
\(798\) | 2.84638 | − | 47.5381i | 0.100761 | − | 1.68283i | ||||
\(799\) | 8.18013 | 0.289392 | ||||||||
\(800\) | −2.04554 | − | 6.80680i | −0.0723207 | − | 0.240657i | ||||
\(801\) | 5.55069 | + | 3.57635i | 0.196124 | + | 0.126364i | ||||
\(802\) | −37.8156 | + | 6.66791i | −1.33532 | + | 0.235452i | ||||
\(803\) | 4.08436 | − | 23.1636i | 0.144134 | − | 0.817424i | ||||
\(804\) | 1.56920 | + | 1.64765i | 0.0553414 | + | 0.0581082i | ||||
\(805\) | 61.5610 | + | 37.9272i | 2.16974 | + | 1.33676i | ||||
\(806\) | 11.1651 | − | 19.3385i | 0.393274 | − | 0.681170i | ||||
\(807\) | 5.88922 | − | 1.42508i | 0.207310 | − | 0.0501651i | ||||
\(808\) | −15.2842 | + | 12.8250i | −0.537696 | + | 0.451181i | ||||
\(809\) | 22.3954 | + | 12.9300i | 0.787380 | + | 0.454594i | 0.839039 | − | 0.544071i | \(-0.183118\pi\) |
−0.0516593 | + | 0.998665i | \(0.516451\pi\) | |||||||
\(810\) | 22.1715 | − | 20.5131i | 0.779026 | − | 0.720757i | ||||
\(811\) | −1.32593 | + | 3.64295i | −0.0465596 | + | 0.127921i | −0.960793 | − | 0.277266i | \(-0.910572\pi\) |
0.914234 | + | 0.405188i | \(0.132794\pi\) | |||||||
\(812\) | 1.62184 | + | 0.285974i | 0.0569155 | + | 0.0100357i | ||||
\(813\) | −7.99432 | + | 27.1676i | −0.280373 | + | 0.952809i | ||||
\(814\) | −0.319830 | + | 0.116408i | −0.0112100 | + | 0.00408011i | ||||
\(815\) | 19.3770 | + | 3.99053i | 0.678747 | + | 0.139782i | ||||
\(816\) | −6.13225 | − | 3.04368i | −0.214672 | − | 0.106550i | ||||
\(817\) | −21.3641 | + | 1.10861i | −0.747435 | + | 0.0387852i | ||||
\(818\) | 49.8640 | 1.74345 | ||||||||
\(819\) | 69.8670 | + | 3.40977i | 2.44135 | + | 0.119147i | ||||
\(820\) | −2.34469 | − | 2.08441i | −0.0818800 | − | 0.0727907i | ||||
\(821\) | 18.4794 | − | 3.25842i | 0.644936 | − | 0.113720i | 0.158393 | − | 0.987376i | \(-0.449369\pi\) |
0.486543 | + | 0.873657i | \(0.338258\pi\) | |||||||
\(822\) | −0.0447595 | − | 0.0329960i | −0.00156117 | − | 0.00115087i | ||||
\(823\) | −8.10065 | + | 22.2564i | −0.282371 | + | 0.775808i | 0.714707 | + | 0.699424i | \(0.246560\pi\) |
−0.997078 | + | 0.0763844i | \(0.975662\pi\) | |||||||
\(824\) | 26.3658 | − | 15.2223i | 0.918497 | − | 0.530294i | ||||
\(825\) | −14.9497 | + | 0.0859097i | −0.520483 | + | 0.00299099i | ||||
\(826\) | −12.1455 | + | 10.1913i | −0.422595 | + | 0.354599i | ||||
\(827\) | 11.9969 | + | 14.2973i | 0.417171 | + | 0.497166i | 0.933176 | − | 0.359420i | \(-0.117026\pi\) |
−0.516004 | + | 0.856586i | \(0.672581\pi\) | |||||||
\(828\) | −5.78791 | + | 0.731796i | −0.201144 | + | 0.0254317i | ||||
\(829\) | −23.2005 | + | 13.3948i | −0.805786 | + | 0.465221i | −0.845490 | − | 0.533991i | \(-0.820692\pi\) |
0.0397045 | + | 0.999211i | \(0.487358\pi\) | |||||||
\(830\) | 34.4791 | − | 5.06876i | 1.19679 | − | 0.175939i | ||||
\(831\) | −24.2202 | − | 17.8547i | −0.840188 | − | 0.619373i | ||||
\(832\) | −6.50269 | − | 36.8786i | −0.225440 | − | 1.27854i | ||||
\(833\) | −8.91630 | + | 3.24527i | −0.308931 | + | 0.112442i | ||||
\(834\) | −42.3000 | + | 18.4830i | −1.46473 | + | 0.640015i | ||||
\(835\) | −6.77099 | + | 3.65543i | −0.234320 | + | 0.126501i | ||||
\(836\) | 0.232744 | − | 1.88751i | 0.00804962 | − | 0.0652808i | ||||
\(837\) | −13.6868 | + | 2.61312i | −0.473086 | + | 0.0903226i | ||||
\(838\) | −18.4203 | − | 15.4565i | −0.636319 | − | 0.533935i | ||||
\(839\) | −18.5346 | + | 6.74605i | −0.639886 | + | 0.232899i | −0.641529 | − | 0.767099i | \(-0.721699\pi\) |
0.00164251 | + | 0.999999i | \(0.499477\pi\) | |||||||
\(840\) | −41.7583 | + | 8.85020i | −1.44080 | + | 0.305361i | ||||
\(841\) | −4.61838 | + | 26.1921i | −0.159254 | + | 0.903176i | ||||
\(842\) | 24.8612 | + | 9.04874i | 0.856774 | + | 0.311840i | ||||
\(843\) | −2.28779 | − | 36.3331i | −0.0787956 | − | 1.25138i | ||||
\(844\) | −1.68987 | − | 0.975649i | −0.0581678 | − | 0.0335832i | ||||
\(845\) | 36.9580 | + | 14.6602i | 1.27139 | + | 0.504327i | ||||
\(846\) | −9.16573 | + | 40.3626i | −0.315124 | + | 1.38769i | ||||
\(847\) | 29.1897 | + | 16.8527i | 1.00297 | + | 0.579065i | ||||
\(848\) | 26.5789 | − | 15.3454i | 0.912724 | − | 0.526962i | ||||
\(849\) | −23.2598 | + | 22.1524i | −0.798276 | + | 0.760267i | ||||
\(850\) | −4.57787 | + | 4.86238i | −0.157020 | + | 0.166778i | ||||
\(851\) | −0.175510 | − | 0.995369i | −0.00601642 | − | 0.0341208i | ||||
\(852\) | −0.413824 | − | 0.0463959i | −0.0141774 | − | 0.00158950i | ||||
\(853\) | −29.0249 | + | 34.5906i | −0.993794 | + | 1.18436i | −0.0109464 | + | 0.999940i | \(0.503484\pi\) |
−0.982848 | + | 0.184418i | \(0.940960\pi\) | |||||||
\(854\) | −52.0549 | −1.78128 | ||||||||
\(855\) | −27.7229 | + | 9.29726i | −0.948104 | + | 0.317960i | ||||
\(856\) | −29.3818 | −1.00425 | ||||||||
\(857\) | 36.7660 | − | 43.8161i | 1.25590 | − | 1.49673i | 0.464320 | − | 0.885667i | \(-0.346299\pi\) |
0.791584 | − | 0.611061i | \(-0.209257\pi\) | |||||||
\(858\) | 24.7432 | + | 2.77409i | 0.844718 | + | 0.0947057i | ||||
\(859\) | 6.47346 | + | 36.7128i | 0.220872 | + | 1.25262i | 0.870422 | + | 0.492306i | \(0.163846\pi\) |
−0.649550 | + | 0.760318i | \(0.725043\pi\) | |||||||
\(860\) | −0.873812 | − | 2.63243i | −0.0297968 | − | 0.0897652i | ||||
\(861\) | −29.2612 | + | 27.8680i | −0.997219 | + | 0.949738i | ||||
\(862\) | 9.18121 | − | 5.30077i | 0.312713 | − | 0.180545i | ||||
\(863\) | −19.5176 | − | 11.2685i | −0.664388 | − | 0.383584i | 0.129559 | − | 0.991572i | \(-0.458644\pi\) |
−0.793947 | + | 0.607987i | \(0.791977\pi\) | |||||||
\(864\) | 4.66749 | − | 5.72474i | 0.158791 | − | 0.194759i | ||||
\(865\) | 16.5598 | − | 41.7468i | 0.563051 | − | 1.41943i | ||||
\(866\) | 27.1932 | + | 15.7000i | 0.924061 | + | 0.533507i | ||||
\(867\) | −1.76419 | − | 28.0177i | −0.0599151 | − | 0.951532i | ||||
\(868\) | −2.67661 | − | 0.974208i | −0.0908502 | − | 0.0330668i | ||||
\(869\) | 1.82990 | − | 10.3779i | 0.0620751 | − | 0.352045i | ||||
\(870\) | −1.86863 | − | 8.81684i | −0.0633524 | − | 0.298919i | ||||
\(871\) | 27.0977 | − | 9.86277i | 0.918172 | − | 0.334187i | ||||
\(872\) | −18.4912 | − | 15.5160i | −0.626191 | − | 0.525437i | ||||
\(873\) | −3.27788 | − | 4.31751i | −0.110939 | − | 0.146126i | ||||
\(874\) | 48.1312 | + | 14.7423i | 1.62806 | + | 0.498666i | ||||
\(875\) | −4.02218 | + | 46.8149i | −0.135974 | + | 1.58263i | ||||
\(876\) | 5.46563 | − | 2.38821i | 0.184667 | − | 0.0806903i | ||||
\(877\) | −8.73624 | + | 3.17973i | −0.295002 | + | 0.107372i | −0.485281 | − | 0.874358i | \(-0.661283\pi\) |
0.190280 | + | 0.981730i | \(0.439061\pi\) | |||||||
\(878\) | −1.71978 | − | 9.75333i | −0.0580396 | − | 0.329159i | ||||
\(879\) | 15.6664 | + | 11.5490i | 0.528414 | + | 0.389538i | ||||
\(880\) | −16.9626 | + | 2.49367i | −0.571809 | + | 0.0840615i | ||||
\(881\) | −0.745241 | + | 0.430265i | −0.0251078 | + | 0.0144960i | −0.512501 | − | 0.858686i | \(-0.671281\pi\) |
0.487394 | + | 0.873182i | \(0.337948\pi\) | |||||||
\(882\) | −6.02227 | − | 47.6313i | −0.202780 | − | 1.60383i | ||||
\(883\) | −8.13474 | − | 9.69460i | −0.273756 | − | 0.326249i | 0.611597 | − | 0.791170i | \(-0.290527\pi\) |
−0.885353 | + | 0.464920i | \(0.846083\pi\) | |||||||
\(884\) | 0.955902 | − | 0.802097i | 0.0321505 | − | 0.0269774i | ||||
\(885\) | 8.59255 | + | 4.57526i | 0.288836 | + | 0.153796i | ||||
\(886\) | −22.4474 | + | 12.9600i | −0.754134 | + | 0.435400i | ||||
\(887\) | 13.1199 | − | 36.0467i | 0.440523 | − | 1.21033i | −0.498625 | − | 0.866818i | \(-0.666162\pi\) |
0.939149 | − | 0.343511i | \(-0.111616\pi\) | |||||||
\(888\) | 0.480281 | + | 0.354055i | 0.0161172 | + | 0.0118813i | ||||
\(889\) | −3.11870 | + | 0.549911i | −0.104598 | + | 0.0184434i | ||||
\(890\) | 4.90794 | − | 5.52079i | 0.164515 | − | 0.185057i | ||||
\(891\) | −8.78027 | − | 12.8175i | −0.294150 | − | 0.429404i | ||||
\(892\) | 0.792704 | 0.0265417 | ||||||||
\(893\) | 24.1300 | − | 31.9873i | 0.807479 | − | 1.07041i | ||||
\(894\) | −51.2894 | − | 25.4570i | −1.71538 | − | 0.851408i | ||||
\(895\) | 3.49997 | − | 16.9950i | 0.116991 | − | 0.568080i | ||||
\(896\) | −51.2359 | + | 18.6483i | −1.71167 | + | 0.622998i | ||||
\(897\) | −20.8721 | + | 70.9308i | −0.696898 | + | 2.36831i | ||||
\(898\) | −12.5001 | − | 2.20410i | −0.417133 | − | 0.0735517i | ||||
\(899\) | −1.42200 | + | 3.90691i | −0.0474264 | + | 0.130303i | ||||
\(900\) | −2.11626 | − | 3.14550i | −0.0705420 | − | 0.104850i | ||||
\(901\) | −5.32522 | − | 3.07452i | −0.177409 | − | 0.102427i | ||||
\(902\) | −11.0181 | + | 9.24526i | −0.366862 | + | 0.307833i | ||||
\(903\) | −34.7233 | + | 8.40237i | −1.15552 | + | 0.279613i | ||||
\(904\) | 3.98646 | − | 6.90475i | 0.132588 | − | 0.229649i | ||||
\(905\) | −10.5719 | − | 6.51328i | −0.351423 | − | 0.216509i | ||||
\(906\) | −29.1717 | − | 30.6301i | −0.969164 | − | 1.01762i | ||||
\(907\) | −1.66478 | + | 9.44144i | −0.0552782 | + | 0.313498i | −0.999892 | − | 0.0146855i | \(-0.995325\pi\) |
0.944614 | + | 0.328183i | \(0.106436\pi\) | |||||||
\(908\) | 0.671686 | − | 0.118436i | 0.0222907 | − | 0.00393045i | ||||
\(909\) | −12.3621 | + | 19.1866i | −0.410025 | + | 0.636380i | ||||
\(910\) | 15.7845 | − | 76.6458i | 0.523252 | − | 2.54078i | ||||
\(911\) | −0.791250 | −0.0262153 | −0.0131076 | − | 0.999914i | \(-0.504172\pi\) | ||||
−0.0131076 | + | 0.999914i | \(0.504172\pi\) | |||||||
\(912\) | −29.9910 | + | 15.0010i | −0.993100 | + | 0.496732i | ||||
\(913\) | − | 17.9254i | − | 0.593243i | ||||||
\(914\) | 6.41793 | + | 5.38528i | 0.212286 | + | 0.178129i | ||||
\(915\) | 11.9554 | + | 29.6411i | 0.395234 | + | 0.979905i | ||||
\(916\) | 0.529106 | + | 3.00071i | 0.0174822 | + | 0.0991463i | ||||
\(917\) | −13.3662 | + | 75.8034i | −0.441390 | + | 2.50325i | ||||
\(918\) | −6.85118 | − | 1.10855i | −0.226123 | − | 0.0365876i | ||||
\(919\) | −1.31314 | − | 2.27443i | −0.0433165 | − | 0.0750265i | 0.843554 | − | 0.537044i | \(-0.180459\pi\) |
−0.886871 | + | 0.462017i | \(0.847126\pi\) | |||||||
\(920\) | 1.28883 | − | 45.1010i | 0.0424914 | − | 1.48694i | ||||
\(921\) | 37.5051 | − | 9.07551i | 1.23584 | − | 0.299048i | ||||
\(922\) | 10.6746 | − | 8.95704i | 0.351549 | − | 0.294984i | ||||
\(923\) | −2.63876 | + | 4.57047i | −0.0868559 | + | 0.150439i | ||||
\(924\) | −0.199585 | − | 3.16968i | −0.00656588 | − | 0.104275i | ||||
\(925\) | 0.526431 | − | 0.392765i | 0.0173089 | − | 0.0129140i | ||||
\(926\) | 1.41973 | − | 8.05169i | 0.0466552 | − | 0.264595i | ||||
\(927\) | 23.6604 | − | 25.5563i | 0.777110 | − | 0.839377i | ||||
\(928\) | −0.753793 | − | 2.07103i | −0.0247445 | − | 0.0679849i | ||||
\(929\) | −16.6491 | + | 19.8416i | −0.546238 | + | 0.650982i | −0.966574 | − | 0.256387i | \(-0.917468\pi\) |
0.420336 | + | 0.907369i | \(0.361912\pi\) | |||||||
\(930\) | 0.534809 | + | 15.5791i | 0.0175371 | + | 0.510857i | ||||
\(931\) | −13.6114 | + | 44.4389i | −0.446095 | + | 1.45643i | ||||
\(932\) | 0.337945 | 0.0110697 | ||||||||
\(933\) | −24.2551 | + | 10.5983i | −0.794077 | + | 0.346973i | ||||
\(934\) | 1.66864 | + | 4.58454i | 0.0545994 | + | 0.150011i | ||||
\(935\) | 2.13195 | + | 2.69341i | 0.0697223 | + | 0.0880840i | ||||
\(936\) | −19.9559 | − | 38.8201i | −0.652281 | − | 1.26888i | ||||
\(937\) | −11.5847 | + | 31.8286i | −0.378455 | + | 1.03980i | 0.593542 | + | 0.804803i | \(0.297729\pi\) |
−0.971997 | + | 0.234993i | \(0.924493\pi\) | |||||||
\(938\) | −16.3930 | − | 28.3935i | −0.535250 | − | 0.927080i | ||||
\(939\) | 10.7241 | + | 16.1392i | 0.349967 | + | 0.526683i | ||||
\(940\) | 4.82894 | + | 1.91551i | 0.157503 | + | 0.0624769i | ||||
\(941\) | 32.1364 | − | 26.9656i | 1.04762 | − | 0.879055i | 0.0547759 | − | 0.998499i | \(-0.482556\pi\) |
0.992841 | + | 0.119444i | \(0.0381111\pi\) | |||||||
\(942\) | −11.8936 | + | 7.90295i | −0.387513 | + | 0.257492i | ||||
\(943\) | −21.3561 | − | 36.9898i | −0.695449 | − | 1.20455i | ||||
\(944\) | 10.4907 | + | 3.81830i | 0.341443 | + | 0.124275i | ||||
\(945\) | −42.6370 | + | 23.8018i | −1.38698 | + | 0.774271i | ||||
\(946\) | −12.5230 | + | 2.20815i | −0.407158 | + | 0.0717930i | ||||
\(947\) | 53.5124 | − | 19.4769i | 1.73892 | − | 0.632915i | 0.739721 | − | 0.672914i | \(-0.234958\pi\) |
0.999200 | + | 0.0399985i | \(0.0127353\pi\) | |||||||
\(948\) | 2.44874 | − | 1.06998i | 0.0795314 | − | 0.0347514i | ||||
\(949\) | − | 75.5936i | − | 2.45387i | ||||||
\(950\) | 5.50973 | + | 32.2443i | 0.178759 | + | 1.04614i | ||||
\(951\) | 19.7044 | − | 39.6994i | 0.638958 | − | 1.28734i | ||||
\(952\) | 7.51333 | + | 6.30443i | 0.243509 | + | 0.204328i | ||||
\(953\) | 10.9229 | + | 30.0104i | 0.353827 | + | 0.972131i | 0.981129 | + | 0.193355i | \(0.0619369\pi\) |
−0.627302 | + | 0.778776i | \(0.715841\pi\) | |||||||
\(954\) | 21.1372 | − | 22.8308i | 0.684341 | − | 0.739176i | ||||
\(955\) | −0.00851428 | − | 0.0256500i | −0.000275516 | − | 0.000830013i | ||||
\(956\) | 0.800974 | − | 2.20066i | 0.0259053 | − | 0.0711744i | ||||
\(957\) | −4.62663 | + | 0.291325i | −0.149558 | + | 0.00941719i | ||||
\(958\) | −21.3724 | + | 37.0180i | −0.690510 | + | 1.19600i | ||||
\(959\) | 0.0577839 | + | 0.0688642i | 0.00186594 | + | 0.00222374i | ||||
\(960\) | 17.4805 | + | 19.4371i | 0.564180 | + | 0.627331i | ||||
\(961\) | −11.9045 | + | 20.6192i | −0.384016 | + | 0.665135i | ||||
\(962\) | −0.947315 | + | 0.546932i | −0.0305426 | + | 0.0176338i | ||||
\(963\) | −32.1073 | + | 9.94253i | −1.03464 | + | 0.320394i | ||||
\(964\) | −2.29536 | − | 0.404734i | −0.0739285 | − | 0.0130356i | ||||
\(965\) | −33.5976 | + | 26.5939i | −1.08154 | + | 0.856088i | ||||
\(966\) | 83.5403 | + | 9.36614i | 2.68786 | + | 0.301351i | ||||
\(967\) | 35.5388 | − | 42.3535i | 1.14285 | − | 1.36200i | 0.220618 | − | 0.975360i | \(-0.429193\pi\) |
0.922233 | − | 0.386635i | \(-0.126363\pi\) | |||||||
\(968\) | − | 21.0322i | − | 0.676002i | ||||||
\(969\) | 5.60728 | + | 3.70105i | 0.180132 | + | 0.118895i | ||||
\(970\) | −5.33636 | + | 2.88093i | −0.171340 | + | 0.0925009i | ||||
\(971\) | −27.6260 | − | 23.1809i | −0.886559 | − | 0.743911i | 0.0809580 | − | 0.996718i | \(-0.474202\pi\) |
−0.967517 | + | 0.252806i | \(0.918646\pi\) | |||||||
\(972\) | 1.47495 | − | 3.65336i | 0.0473090 | − | 0.117182i | ||||
\(973\) | 73.4926 | − | 12.9587i | 2.35606 | − | 0.415438i | ||||
\(974\) | 29.2354 | + | 5.15499i | 0.936762 | + | 0.165177i | ||||
\(975\) | −47.2689 | + | 8.61515i | −1.51382 | + | 0.275906i | ||||
\(976\) | 18.3269 | + | 31.7432i | 0.586631 | + | 1.01607i | ||||
\(977\) | 53.4417 | + | 30.8546i | 1.70975 | + | 0.987126i | 0.934848 | + | 0.355049i | \(0.115536\pi\) |
0.774905 | + | 0.632077i | \(0.217797\pi\) | |||||||
\(978\) | 22.3553 | − | 5.40956i | 0.714845 | − | 0.172979i | ||||
\(979\) | −2.44232 | − | 2.91064i | −0.0780568 | − | 0.0930244i | ||||
\(980\) | −6.02344 | − | 0.172129i | −0.192412 | − | 0.00549846i | ||||
\(981\) | −25.4569 | − | 10.6980i | −0.812775 | − | 0.341560i | ||||
\(982\) | 22.6307 | + | 8.23688i | 0.722173 | + | 0.262850i | ||||
\(983\) | 15.3914 | + | 2.71391i | 0.490908 | + | 0.0865604i | 0.413622 | − | 0.910449i | \(-0.364263\pi\) |
0.0772860 | + | 0.997009i | \(0.475375\pi\) | |||||||
\(984\) | 24.1895 | + | 7.11797i | 0.771132 | + | 0.226913i | ||||
\(985\) | 21.2895 | + | 18.9262i | 0.678340 | + | 0.603039i | ||||
\(986\) | −1.33112 | + | 1.58636i | −0.0423914 | + | 0.0505201i | ||||
\(987\) | 29.7485 | − | 59.9358i | 0.946905 | − | 1.90778i | ||||
\(988\) | −0.316742 | − | 6.10397i | −0.0100769 | − | 0.194193i | ||||
\(989\) | − | 37.7622i | − | 1.20077i | ||||||
\(990\) | −15.6787 | + | 7.50159i | −0.498302 | + | 0.238416i | ||||
\(991\) | 3.87234 | + | 10.6392i | 0.123009 | + | 0.337964i | 0.985878 | − | 0.167463i | \(-0.0535573\pi\) |
−0.862870 | + | 0.505427i | \(0.831335\pi\) | |||||||
\(992\) | 0.661932 | + | 3.75400i | 0.0210164 | + | 0.119190i | ||||
\(993\) | 47.1345 | + | 34.7468i | 1.49577 | + | 1.10266i | ||||
\(994\) | 5.63841 | + | 2.05221i | 0.178839 | + | 0.0650922i | ||||
\(995\) | −17.1887 | + | 27.8997i | −0.544920 | + | 0.884479i | ||||
\(996\) | 3.78604 | − | 2.51573i | 0.119965 | − | 0.0797138i | ||||
\(997\) | −3.27879 | − | 3.90750i | −0.103840 | − | 0.123752i | 0.711621 | − | 0.702563i | \(-0.247961\pi\) |
−0.815461 | + | 0.578811i | \(0.803517\pi\) | |||||||
\(998\) | −29.2707 | − | 34.8835i | −0.926549 | − | 1.10422i | ||||
\(999\) | 0.644640 | + | 0.224374i | 0.0203955 | + | 0.00709889i |
(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 | 285.2.bf.c.269.26 | yes | 192 | |
3.2 | odd | 2 | inner | 285.2.bf.c.269.8 | yes | 192 | |
5.4 | even | 2 | inner | 285.2.bf.c.269.7 | yes | 192 | |
15.14 | odd | 2 | inner | 285.2.bf.c.269.25 | yes | 192 | |
19.13 | odd | 18 | inner | 285.2.bf.c.89.25 | yes | 192 | |
57.32 | even | 18 | inner | 285.2.bf.c.89.7 | ✓ | 192 | |
95.89 | odd | 18 | inner | 285.2.bf.c.89.8 | yes | 192 | |
285.89 | even | 18 | inner | 285.2.bf.c.89.26 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
285.2.bf.c.89.7 | ✓ | 192 | 57.32 | even | 18 | inner | |
285.2.bf.c.89.8 | yes | 192 | 95.89 | odd | 18 | inner | |
285.2.bf.c.89.25 | yes | 192 | 19.13 | odd | 18 | inner | |
285.2.bf.c.89.26 | yes | 192 | 285.89 | even | 18 | inner | |
285.2.bf.c.269.7 | yes | 192 | 5.4 | even | 2 | inner | |
285.2.bf.c.269.8 | yes | 192 | 3.2 | odd | 2 | inner | |
285.2.bf.c.269.25 | yes | 192 | 15.14 | odd | 2 | inner | |
285.2.bf.c.269.26 | yes | 192 | 1.1 | even | 1 | trivial |