Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(67,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.v (of order \(9\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 79.8 | ||
Character | \(\chi\) | \(=\) | 378.79 |
Dual form | 378.2.v.a.67.8 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | 0.309985 | − | 1.70409i | 0.178970 | − | 0.983855i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −0.504047 | − | 2.85859i | −0.225416 | − | 1.27840i | −0.861887 | − | 0.507100i | \(-0.830718\pi\) |
0.636471 | − | 0.771301i | \(-0.280394\pi\) | |||||||
\(6\) | −1.33283 | + | 1.10615i | −0.544125 | + | 0.451584i | ||||
\(7\) | −2.58705 | − | 0.554250i | −0.977811 | − | 0.209487i | ||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −2.80782 | − | 1.05648i | −0.935940 | − | 0.352160i | ||||
\(10\) | −1.45134 | + | 2.51380i | −0.458955 | + | 0.794934i | ||||
\(11\) | 0.0514442 | − | 0.291754i | 0.0155110 | − | 0.0879672i | −0.976070 | − | 0.217459i | \(-0.930223\pi\) |
0.991581 | + | 0.129491i | \(0.0413344\pi\) | |||||||
\(12\) | 1.73203 | + | 0.00936395i | 0.499993 | + | 0.00270314i | ||||
\(13\) | 0.719192 | + | 4.07874i | 0.199468 | + | 1.13124i | 0.905910 | + | 0.423469i | \(0.139188\pi\) |
−0.706442 | + | 0.707771i | \(0.749701\pi\) | |||||||
\(14\) | 1.62553 | + | 2.08750i | 0.434440 | + | 0.557908i | ||||
\(15\) | −5.02753 | − | 0.0271806i | −1.29810 | − | 0.00701801i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −0.770259 | + | 1.33413i | −0.186815 | + | 0.323573i | −0.944187 | − | 0.329411i | \(-0.893150\pi\) |
0.757371 | + | 0.652984i | \(0.226483\pi\) | |||||||
\(18\) | 1.47182 | + | 2.61414i | 0.346912 | + | 0.616159i | ||||
\(19\) | −1.64227 | − | 2.84449i | −0.376762 | − | 0.652572i | 0.613827 | − | 0.789441i | \(-0.289629\pi\) |
−0.990589 | + | 0.136869i | \(0.956296\pi\) | |||||||
\(20\) | 2.72763 | − | 0.992778i | 0.609918 | − | 0.221992i | ||||
\(21\) | −1.74643 | + | 4.23674i | −0.381103 | + | 0.924532i | ||||
\(22\) | −0.226945 | + | 0.190429i | −0.0483847 | + | 0.0405996i | ||||
\(23\) | 3.83587 | − | 3.21867i | 0.799833 | − | 0.671140i | −0.148325 | − | 0.988939i | \(-0.547388\pi\) |
0.948158 | + | 0.317799i | \(0.102944\pi\) | |||||||
\(24\) | −1.32079 | − | 1.12050i | −0.269605 | − | 0.228721i | ||||
\(25\) | −3.21901 | + | 1.17162i | −0.643802 | + | 0.234325i | ||||
\(26\) | 2.07083 | − | 3.58679i | 0.406124 | − | 0.703427i | ||||
\(27\) | −2.67072 | + | 4.45727i | −0.513980 | + | 0.857802i | ||||
\(28\) | 0.0965940 | − | 2.64399i | 0.0182545 | − | 0.499667i | ||||
\(29\) | 0.827577 | − | 4.69342i | 0.153677 | − | 0.871547i | −0.806308 | − | 0.591496i | \(-0.798538\pi\) |
0.959985 | − | 0.280051i | \(-0.0903513\pi\) | |||||||
\(30\) | 3.83384 | + | 3.25246i | 0.699960 | + | 0.593814i | ||||
\(31\) | 0.531893 | + | 3.01651i | 0.0955307 | + | 0.541782i | 0.994583 | + | 0.103941i | \(0.0331454\pi\) |
−0.899053 | + | 0.437840i | \(0.855743\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | −0.481228 | − | 0.178105i | −0.0837710 | − | 0.0310040i | ||||
\(34\) | 1.44761 | − | 0.526888i | 0.248264 | − | 0.0903606i | ||||
\(35\) | −0.280382 | + | 7.67467i | −0.0473932 | + | 1.29726i | ||||
\(36\) | 0.552858 | − | 2.94862i | 0.0921431 | − | 0.491436i | ||||
\(37\) | −7.47027 | −1.22810 | −0.614052 | − | 0.789265i | \(-0.710462\pi\) | ||||
−0.614052 | + | 0.789265i | \(0.710462\pi\) | |||||||
\(38\) | −0.570354 | + | 3.23464i | −0.0925237 | + | 0.524728i | ||||
\(39\) | 7.17347 | + | 0.0387823i | 1.14867 | + | 0.00621014i | ||||
\(40\) | −2.72763 | − | 0.992778i | −0.431277 | − | 0.156972i | ||||
\(41\) | 0.642881 | + | 3.64596i | 0.100401 | + | 0.569404i | 0.992958 | + | 0.118468i | \(0.0377984\pi\) |
−0.892557 | + | 0.450935i | \(0.851091\pi\) | |||||||
\(42\) | 4.06117 | − | 2.12294i | 0.626652 | − | 0.327577i | ||||
\(43\) | −9.42283 | − | 7.90669i | −1.43697 | − | 1.20576i | −0.941446 | − | 0.337163i | \(-0.890532\pi\) |
−0.495522 | − | 0.868596i | \(-0.665023\pi\) | |||||||
\(44\) | 0.296255 | 0.0446621 | ||||||||
\(45\) | −1.60478 | + | 8.55892i | −0.239226 | + | 1.27589i | ||||
\(46\) | −5.00737 | −0.738296 | ||||||||
\(47\) | 0.204405 | − | 1.15924i | 0.0298155 | − | 0.169092i | −0.966264 | − | 0.257553i | \(-0.917084\pi\) |
0.996080 | + | 0.0884609i | \(0.0281948\pi\) | |||||||
\(48\) | 0.291541 | + | 1.70734i | 0.0420804 | + | 0.246433i | ||||
\(49\) | 6.38561 | + | 2.86774i | 0.912231 | + | 0.409677i | ||||
\(50\) | 3.21901 | + | 1.17162i | 0.455237 | + | 0.165693i | ||||
\(51\) | 2.03470 | + | 1.72615i | 0.284915 | + | 0.241709i | ||||
\(52\) | −3.89189 | + | 1.41653i | −0.539708 | + | 0.196438i | ||||
\(53\) | −5.61189 | − | 9.72008i | −0.770853 | − | 1.33516i | −0.937096 | − | 0.349072i | \(-0.886497\pi\) |
0.166243 | − | 0.986085i | \(-0.446836\pi\) | |||||||
\(54\) | 4.91097 | − | 1.69777i | 0.668298 | − | 0.231037i | ||||
\(55\) | −0.859936 | −0.115954 | ||||||||
\(56\) | −1.77352 | + | 1.96332i | −0.236996 | + | 0.262360i | ||||
\(57\) | −5.35634 | + | 1.91682i | −0.709465 | + | 0.253889i | ||||
\(58\) | −3.65083 | + | 3.06341i | −0.479378 | + | 0.402246i | ||||
\(59\) | 0.0448198 | + | 0.0163131i | 0.00583504 | + | 0.00212378i | 0.344936 | − | 0.938626i | \(-0.387901\pi\) |
−0.339101 | + | 0.940750i | \(0.610123\pi\) | |||||||
\(60\) | −0.846254 | − | 4.95587i | −0.109251 | − | 0.639800i | ||||
\(61\) | −0.333064 | + | 1.88890i | −0.0426445 | + | 0.241849i | −0.998678 | − | 0.0514096i | \(-0.983629\pi\) |
0.956033 | + | 0.293259i | \(0.0947397\pi\) | |||||||
\(62\) | 1.53152 | − | 2.65268i | 0.194504 | − | 0.336890i | ||||
\(63\) | 6.67840 | + | 4.28940i | 0.841400 | + | 0.540414i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 11.2969 | − | 4.11175i | 1.40121 | − | 0.510000i | ||||
\(66\) | 0.254158 | + | 0.445763i | 0.0312847 | + | 0.0548697i | ||||
\(67\) | 7.92952 | − | 6.65365i | 0.968745 | − | 0.812873i | −0.0136089 | − | 0.999907i | \(-0.504332\pi\) |
0.982353 | + | 0.187034i | \(0.0598875\pi\) | |||||||
\(68\) | −1.44761 | − | 0.526888i | −0.175549 | − | 0.0638946i | ||||
\(69\) | −4.29584 | − | 7.53439i | −0.517158 | − | 0.907034i | ||||
\(70\) | 5.14797 | − | 5.69891i | 0.615300 | − | 0.681150i | ||||
\(71\) | −5.64455 | − | 9.77665i | −0.669885 | − | 1.16028i | −0.977936 | − | 0.208905i | \(-0.933010\pi\) |
0.308051 | − | 0.951370i | \(-0.400323\pi\) | |||||||
\(72\) | −2.31885 | + | 1.90340i | −0.273279 | + | 0.224318i | ||||
\(73\) | 12.2003 | 1.42793 | 0.713966 | − | 0.700180i | \(-0.246897\pi\) | ||||
0.713966 | + | 0.700180i | \(0.246897\pi\) | |||||||
\(74\) | 5.72256 | + | 4.80180i | 0.665234 | + | 0.558197i | ||||
\(75\) | 0.998704 | + | 5.84866i | 0.115320 | + | 0.675345i | ||||
\(76\) | 2.51610 | − | 2.11126i | 0.288617 | − | 0.242178i | ||||
\(77\) | −0.294793 | + | 0.726269i | −0.0335948 | + | 0.0827660i | ||||
\(78\) | −5.47027 | − | 4.64073i | −0.619386 | − | 0.525459i | ||||
\(79\) | −3.43692 | − | 2.88392i | −0.386684 | − | 0.324466i | 0.428636 | − | 0.903477i | \(-0.358994\pi\) |
−0.815320 | + | 0.579011i | \(0.803439\pi\) | |||||||
\(80\) | 1.45134 | + | 2.51380i | 0.162265 | + | 0.281052i | ||||
\(81\) | 6.76769 | + | 5.93282i | 0.751966 | + | 0.659202i | ||||
\(82\) | 1.85110 | − | 3.20621i | 0.204420 | − | 0.354066i | ||||
\(83\) | 1.53826 | − | 8.72391i | 0.168846 | − | 0.957574i | −0.776164 | − | 0.630531i | \(-0.782837\pi\) |
0.945010 | − | 0.327042i | \(-0.106052\pi\) | |||||||
\(84\) | −4.47564 | − | 0.984200i | −0.488332 | − | 0.107385i | ||||
\(85\) | 4.20197 | + | 1.52939i | 0.455768 | + | 0.165886i | ||||
\(86\) | 2.13598 | + | 12.1138i | 0.230329 | + | 1.30626i | ||||
\(87\) | −7.74146 | − | 2.86515i | −0.829972 | − | 0.307177i | ||||
\(88\) | −0.226945 | − | 0.190429i | −0.0241924 | − | 0.0202998i | ||||
\(89\) | 4.96720 | + | 8.60345i | 0.526522 | + | 0.911964i | 0.999522 | + | 0.0309012i | \(0.00983773\pi\) |
−0.473000 | + | 0.881062i | \(0.656829\pi\) | |||||||
\(90\) | 6.73090 | − | 5.52498i | 0.709499 | − | 0.582384i | ||||
\(91\) | 0.400060 | − | 10.9505i | 0.0419377 | − | 1.14793i | ||||
\(92\) | 3.83587 | + | 3.21867i | 0.399917 | + | 0.335570i | ||||
\(93\) | 5.30528 | + | 0.0286822i | 0.550131 | + | 0.00297421i | ||||
\(94\) | −0.901727 | + | 0.756639i | −0.0930061 | + | 0.0780413i | ||||
\(95\) | −7.30346 | + | 6.12833i | −0.749319 | + | 0.628754i | ||||
\(96\) | 0.874122 | − | 1.49530i | 0.0892147 | − | 0.152613i | ||||
\(97\) | −1.39847 | − | 1.17345i | −0.141993 | − | 0.119146i | 0.569025 | − | 0.822321i | \(-0.307321\pi\) |
−0.711018 | + | 0.703174i | \(0.751765\pi\) | |||||||
\(98\) | −3.04832 | − | 6.30141i | −0.307926 | − | 0.636539i | ||||
\(99\) | −0.452679 | + | 0.764843i | −0.0454959 | + | 0.0768697i | ||||
\(100\) | −1.71280 | − | 2.96666i | −0.171280 | − | 0.296666i | ||||
\(101\) | −6.64509 | − | 5.57589i | −0.661211 | − | 0.554822i | 0.249238 | − | 0.968442i | \(-0.419820\pi\) |
−0.910450 | + | 0.413620i | \(0.864264\pi\) | |||||||
\(102\) | −0.449125 | − | 2.63018i | −0.0444700 | − | 0.260427i | ||||
\(103\) | −1.97563 | − | 11.2044i | −0.194665 | − | 1.10400i | −0.912895 | − | 0.408195i | \(-0.866158\pi\) |
0.718230 | − | 0.695806i | \(-0.244953\pi\) | |||||||
\(104\) | 3.89189 | + | 1.41653i | 0.381631 | + | 0.138902i | ||||
\(105\) | 12.9914 | + | 2.85683i | 1.26783 | + | 0.278798i | ||||
\(106\) | −1.94899 | + | 11.0533i | −0.189303 | + | 1.07359i | ||||
\(107\) | 8.39124 | − | 14.5341i | 0.811212 | − | 1.40506i | −0.100804 | − | 0.994906i | \(-0.532142\pi\) |
0.912016 | − | 0.410154i | \(-0.134525\pi\) | |||||||
\(108\) | −4.85332 | − | 1.85615i | −0.467011 | − | 0.178608i | ||||
\(109\) | 9.34891 | + | 16.1928i | 0.895463 | + | 1.55099i | 0.833231 | + | 0.552926i | \(0.186489\pi\) |
0.0622322 | + | 0.998062i | \(0.480178\pi\) | |||||||
\(110\) | 0.658749 | + | 0.552756i | 0.0628093 | + | 0.0527032i | ||||
\(111\) | −2.31567 | + | 12.7300i | −0.219794 | + | 1.20828i | ||||
\(112\) | 2.62059 | − | 0.363997i | 0.247623 | − | 0.0343945i | ||||
\(113\) | 8.71837 | − | 7.31558i | 0.820155 | − | 0.688192i | −0.132853 | − | 0.991136i | \(-0.542414\pi\) |
0.953008 | + | 0.302944i | \(0.0979695\pi\) | |||||||
\(114\) | 5.33530 | + | 1.97462i | 0.499697 | + | 0.184940i | ||||
\(115\) | −11.1343 | − | 9.34281i | −1.03828 | − | 0.871221i | ||||
\(116\) | 4.76583 | 0.442496 | ||||||||
\(117\) | 2.28975 | − | 12.2122i | 0.211688 | − | 1.12902i | ||||
\(118\) | −0.0238481 | − | 0.0413061i | −0.00219540 | − | 0.00380254i | ||||
\(119\) | 2.73214 | − | 3.02453i | 0.250454 | − | 0.277258i | ||||
\(120\) | −2.53730 | + | 4.34038i | −0.231623 | + | 0.396221i | ||||
\(121\) | 10.2541 | + | 3.73220i | 0.932195 | + | 0.339291i | ||||
\(122\) | 1.46930 | − | 1.23289i | 0.133025 | − | 0.111621i | ||||
\(123\) | 6.41232 | + | 0.0346673i | 0.578179 | + | 0.00312584i | ||||
\(124\) | −2.87832 | + | 1.04762i | −0.258481 | + | 0.0940794i | ||||
\(125\) | −2.28500 | − | 3.95773i | −0.204376 | − | 0.353990i | ||||
\(126\) | −2.35878 | − | 7.57866i | −0.210137 | − | 0.675161i | ||||
\(127\) | 5.06958 | − | 8.78078i | 0.449853 | − | 0.779168i | −0.548523 | − | 0.836135i | \(-0.684810\pi\) |
0.998376 | + | 0.0569675i | \(0.0181431\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | −16.3946 | + | 13.6064i | −1.44347 | + | 1.19797i | ||||
\(130\) | −11.2969 | − | 4.11175i | −0.990808 | − | 0.360625i | ||||
\(131\) | −6.24133 | + | 5.23710i | −0.545308 | + | 0.457568i | −0.873348 | − | 0.487096i | \(-0.838056\pi\) |
0.328041 | + | 0.944664i | \(0.393612\pi\) | |||||||
\(132\) | 0.0918346 | − | 0.504844i | 0.00799317 | − | 0.0439410i | ||||
\(133\) | 2.67207 | + | 8.26906i | 0.231697 | + | 0.717019i | ||||
\(134\) | −10.3512 | −0.894212 | ||||||||
\(135\) | 14.0877 | + | 5.38781i | 1.21247 | + | 0.463709i | ||||
\(136\) | 0.770259 | + | 1.33413i | 0.0660491 | + | 0.114400i | ||||
\(137\) | −17.6311 | + | 6.41718i | −1.50632 | + | 0.548257i | −0.957689 | − | 0.287806i | \(-0.907074\pi\) |
−0.548634 | + | 0.836062i | \(0.684852\pi\) | |||||||
\(138\) | −1.55221 | + | 8.53299i | −0.132133 | + | 0.726376i | ||||
\(139\) | 20.4185 | + | 7.43173i | 1.73188 | + | 0.630351i | 0.998762 | − | 0.0497539i | \(-0.0158437\pi\) |
0.733115 | + | 0.680105i | \(0.238066\pi\) | |||||||
\(140\) | −7.60676 | + | 1.05657i | −0.642889 | + | 0.0892965i | ||||
\(141\) | −1.91208 | − | 0.707670i | −0.161026 | − | 0.0595965i | ||||
\(142\) | −1.96033 | + | 11.1176i | −0.164507 | + | 0.932968i | ||||
\(143\) | 1.22699 | 0.102606 | ||||||||
\(144\) | 2.99982 | + | 0.0324372i | 0.249985 | + | 0.00270310i | ||||
\(145\) | −13.8337 | −1.14883 | ||||||||
\(146\) | −9.34594 | − | 7.84217i | −0.773475 | − | 0.649023i | ||||
\(147\) | 6.86632 | − | 9.99268i | 0.566325 | − | 0.824182i | ||||
\(148\) | −1.29720 | − | 7.35678i | −0.106629 | − | 0.604723i | ||||
\(149\) | 11.7704 | + | 4.28409i | 0.964271 | + | 0.350966i | 0.775706 | − | 0.631095i | \(-0.217394\pi\) |
0.188565 | + | 0.982061i | \(0.439616\pi\) | |||||||
\(150\) | 2.99439 | − | 5.12229i | 0.244491 | − | 0.418233i | ||||
\(151\) | −3.24832 | + | 18.4221i | −0.264344 | + | 1.49917i | 0.506552 | + | 0.862209i | \(0.330920\pi\) |
−0.770896 | + | 0.636961i | \(0.780191\pi\) | |||||||
\(152\) | −3.28454 | −0.266411 | ||||||||
\(153\) | 3.57223 | − | 2.93222i | 0.288798 | − | 0.237056i | ||||
\(154\) | 0.692661 | − | 0.366865i | 0.0558162 | − | 0.0295628i | ||||
\(155\) | 8.35487 | − | 3.04093i | 0.671080 | − | 0.244253i | ||||
\(156\) | 1.20747 | + | 7.07122i | 0.0966747 | + | 0.566151i | ||||
\(157\) | −11.8066 | − | 4.29724i | −0.942266 | − | 0.342957i | −0.175206 | − | 0.984532i | \(-0.556059\pi\) |
−0.767060 | + | 0.641575i | \(0.778281\pi\) | |||||||
\(158\) | 0.779086 | + | 4.41842i | 0.0619808 | + | 0.351511i | ||||
\(159\) | −18.3035 | + | 6.55007i | −1.45156 | + | 0.519454i | ||||
\(160\) | 0.504047 | − | 2.85859i | 0.0398484 | − | 0.225991i | ||||
\(161\) | −11.7075 | + | 6.20083i | −0.922681 | + | 0.488694i | ||||
\(162\) | −1.37081 | − | 8.89499i | −0.107701 | − | 0.698857i | ||||
\(163\) | −4.67949 | + | 8.10512i | −0.366526 | + | 0.634842i | −0.989020 | − | 0.147783i | \(-0.952786\pi\) |
0.622494 | + | 0.782625i | \(0.286120\pi\) | |||||||
\(164\) | −3.47894 | + | 1.26623i | −0.271659 | + | 0.0988759i | ||||
\(165\) | −0.266567 | + | 1.46541i | −0.0207522 | + | 0.114082i | ||||
\(166\) | −6.78600 | + | 5.69413i | −0.526696 | + | 0.441950i | ||||
\(167\) | −12.8573 | + | 10.7885i | −0.994925 | + | 0.834841i | −0.986273 | − | 0.165122i | \(-0.947198\pi\) |
−0.00865161 | + | 0.999963i | \(0.502754\pi\) | |||||||
\(168\) | 2.79591 | + | 3.63083i | 0.215709 | + | 0.280124i | ||||
\(169\) | −3.90290 | + | 1.42054i | −0.300223 | + | 0.109272i | ||||
\(170\) | −2.23582 | − | 3.87256i | −0.171480 | − | 0.297012i | ||||
\(171\) | 1.60604 | + | 9.72185i | 0.122817 | + | 0.743448i | ||||
\(172\) | 6.15031 | − | 10.6527i | 0.468957 | − | 0.812257i | ||||
\(173\) | 6.87188 | − | 2.50116i | 0.522459 | − | 0.190160i | −0.0673089 | − | 0.997732i | \(-0.521441\pi\) |
0.589768 | + | 0.807573i | \(0.299219\pi\) | |||||||
\(174\) | 4.08862 | + | 7.17095i | 0.309957 | + | 0.543628i | ||||
\(175\) | 8.97710 | − | 1.24691i | 0.678605 | − | 0.0942574i | ||||
\(176\) | 0.0514442 | + | 0.291754i | 0.00387775 | + | 0.0219918i | ||||
\(177\) | 0.0416923 | − | 0.0713200i | 0.00313379 | − | 0.00536074i | ||||
\(178\) | 1.72509 | − | 9.78348i | 0.129301 | − | 0.733303i | ||||
\(179\) | 8.45945 | − | 14.6522i | 0.632289 | − | 1.09516i | −0.354793 | − | 0.934945i | \(-0.615449\pi\) |
0.987083 | − | 0.160212i | \(-0.0512179\pi\) | |||||||
\(180\) | −8.70756 | − | 0.0941551i | −0.649023 | − | 0.00701790i | ||||
\(181\) | −5.09029 | + | 8.81664i | −0.378358 | + | 0.655335i | −0.990824 | − | 0.135162i | \(-0.956845\pi\) |
0.612465 | + | 0.790497i | \(0.290178\pi\) | |||||||
\(182\) | −7.34531 | + | 8.13142i | −0.544471 | + | 0.602741i | ||||
\(183\) | 3.11561 | + | 1.15310i | 0.230312 | + | 0.0852397i | ||||
\(184\) | −0.869520 | − | 4.93129i | −0.0641019 | − | 0.363540i | ||||
\(185\) | 3.76536 | + | 21.3544i | 0.276835 | + | 1.57001i | ||||
\(186\) | −4.04564 | − | 3.43214i | −0.296641 | − | 0.251657i | ||||
\(187\) | 0.349612 | + | 0.293359i | 0.0255662 | + | 0.0214526i | ||||
\(188\) | 1.17712 | 0.0858504 | ||||||||
\(189\) | 9.37971 | − | 10.0509i | 0.682273 | − | 0.731097i | ||||
\(190\) | 9.53399 | 0.691668 | ||||||||
\(191\) | −12.8695 | − | 10.7988i | −0.931206 | − | 0.781374i | 0.0448277 | − | 0.998995i | \(-0.485726\pi\) |
−0.976034 | + | 0.217620i | \(0.930171\pi\) | |||||||
\(192\) | −1.63077 | + | 0.583588i | −0.117691 | + | 0.0421169i | ||||
\(193\) | 1.35345 | + | 7.67582i | 0.0974238 | + | 0.552518i | 0.993978 | + | 0.109583i | \(0.0349516\pi\) |
−0.896554 | + | 0.442935i | \(0.853937\pi\) | |||||||
\(194\) | 0.317007 | + | 1.79784i | 0.0227598 | + | 0.129077i | ||||
\(195\) | −3.50490 | − | 20.5256i | −0.250991 | − | 1.46987i | ||||
\(196\) | −1.71532 | + | 6.78658i | −0.122523 | + | 0.484756i | ||||
\(197\) | −5.77393 | + | 10.0007i | −0.411376 | + | 0.712524i | −0.995040 | − | 0.0994711i | \(-0.968285\pi\) |
0.583665 | + | 0.811995i | \(0.301618\pi\) | |||||||
\(198\) | 0.838404 | − | 0.294928i | 0.0595828 | − | 0.0209596i | ||||
\(199\) | 11.5359 | − | 19.9808i | 0.817760 | − | 1.41640i | −0.0895686 | − | 0.995981i | \(-0.528549\pi\) |
0.907329 | − | 0.420422i | \(-0.138118\pi\) | |||||||
\(200\) | −0.594849 | + | 3.37356i | −0.0420622 | + | 0.238547i | ||||
\(201\) | −8.88037 | − | 15.5751i | −0.626373 | − | 1.09858i | ||||
\(202\) | 1.50632 | + | 8.54277i | 0.105984 | + | 0.601067i | ||||
\(203\) | −4.74231 | + | 11.6834i | −0.332845 | + | 0.820015i | ||||
\(204\) | −1.34660 | + | 2.30353i | −0.0942809 | + | 0.161279i | ||||
\(205\) | 10.0983 | − | 3.67547i | 0.705294 | − | 0.256706i | ||||
\(206\) | −5.68861 | + | 9.85297i | −0.396345 | + | 0.686489i | ||||
\(207\) | −14.1709 | + | 4.98493i | −0.984945 | + | 0.346477i | ||||
\(208\) | −2.07083 | − | 3.58679i | −0.143586 | − | 0.248699i | ||||
\(209\) | −0.914378 | + | 0.332807i | −0.0632489 | + | 0.0230207i | ||||
\(210\) | −8.11565 | − | 10.5392i | −0.560033 | − | 0.727271i | ||||
\(211\) | −2.08041 | + | 1.74567i | −0.143221 | + | 0.120177i | −0.711583 | − | 0.702602i | \(-0.752022\pi\) |
0.568362 | + | 0.822778i | \(0.307577\pi\) | |||||||
\(212\) | 8.59792 | − | 7.21451i | 0.590508 | − | 0.495495i | ||||
\(213\) | −18.4100 | + | 6.58819i | −1.26143 | + | 0.451415i | ||||
\(214\) | −15.7704 | + | 5.73995i | −1.07804 | + | 0.392375i | ||||
\(215\) | −17.8524 | + | 30.9213i | −1.21753 | + | 2.10882i | ||||
\(216\) | 2.52475 | + | 4.54154i | 0.171788 | + | 0.309013i | ||||
\(217\) | 0.295872 | − | 8.09866i | 0.0200851 | − | 0.549773i | ||||
\(218\) | 3.24684 | − | 18.4138i | 0.219904 | − | 1.24714i | ||||
\(219\) | 3.78189 | − | 20.7903i | 0.255557 | − | 1.40488i | ||||
\(220\) | −0.149326 | − | 0.846872i | −0.0100676 | − | 0.0570961i | ||||
\(221\) | −5.99553 | − | 2.18219i | −0.403303 | − | 0.146790i | ||||
\(222\) | 9.95658 | − | 8.26325i | 0.668242 | − | 0.554593i | ||||
\(223\) | −4.67914 | + | 1.70307i | −0.313339 | + | 0.114046i | −0.493902 | − | 0.869517i | \(-0.664430\pi\) |
0.180564 | + | 0.983563i | \(0.442208\pi\) | |||||||
\(224\) | −2.24146 | − | 1.40565i | −0.149764 | − | 0.0939187i | ||||
\(225\) | 10.2762 | + | 0.111117i | 0.685080 | + | 0.00740779i | ||||
\(226\) | −11.3810 | −0.757054 | ||||||||
\(227\) | −0.267611 | + | 1.51770i | −0.0177620 | + | 0.100733i | −0.992400 | − | 0.123054i | \(-0.960731\pi\) |
0.974638 | + | 0.223787i | \(0.0718422\pi\) | |||||||
\(228\) | −2.81782 | − | 4.94211i | −0.186614 | − | 0.327299i | ||||
\(229\) | 3.84784 | + | 1.40050i | 0.254273 | + | 0.0925476i | 0.466012 | − | 0.884779i | \(-0.345690\pi\) |
−0.211739 | + | 0.977326i | \(0.567913\pi\) | |||||||
\(230\) | 2.52395 | + | 14.3140i | 0.166424 | + | 0.943838i | ||||
\(231\) | 1.14624 | + | 0.727485i | 0.0754173 | + | 0.0478650i | ||||
\(232\) | −3.65083 | − | 3.06341i | −0.239689 | − | 0.201123i | ||||
\(233\) | −19.5071 | −1.27795 | −0.638975 | − | 0.769227i | \(-0.720641\pi\) | ||||
−0.638975 | + | 0.769227i | \(0.720641\pi\) | |||||||
\(234\) | −9.60389 | + | 7.88325i | −0.627826 | + | 0.515344i | ||||
\(235\) | −3.41682 | −0.222889 | ||||||||
\(236\) | −0.00828236 | + | 0.0469716i | −0.000539136 | + | 0.00305759i | ||||
\(237\) | −5.97984 | + | 4.96284i | −0.388432 | + | 0.322371i | ||||
\(238\) | −4.03707 | + | 0.560744i | −0.261684 | + | 0.0363476i | ||||
\(239\) | −4.28912 | − | 1.56111i | −0.277440 | − | 0.100980i | 0.199553 | − | 0.979887i | \(-0.436051\pi\) |
−0.476993 | + | 0.878907i | \(0.658273\pi\) | |||||||
\(240\) | 4.73363 | − | 1.69398i | 0.305554 | − | 0.109346i | ||||
\(241\) | 26.2672 | − | 9.56048i | 1.69202 | − | 0.615845i | 0.697142 | − | 0.716933i | \(-0.254455\pi\) |
0.994877 | + | 0.101089i | \(0.0322326\pi\) | |||||||
\(242\) | −5.45612 | − | 9.45027i | −0.350732 | − | 0.607486i | ||||
\(243\) | 12.2079 | − | 9.69365i | 0.783138 | − | 0.621848i | ||||
\(244\) | −1.91804 | −0.122790 | ||||||||
\(245\) | 4.97905 | − | 19.6993i | 0.318100 | − | 1.25854i | ||||
\(246\) | −4.88984 | − | 4.14831i | −0.311765 | − | 0.264487i | ||||
\(247\) | 10.4209 | − | 8.74413i | 0.663063 | − | 0.556376i | ||||
\(248\) | 2.87832 | + | 1.04762i | 0.182774 | + | 0.0665242i | ||||
\(249\) | −14.3895 | − | 5.32561i | −0.911895 | − | 0.337497i | ||||
\(250\) | −0.793571 | + | 4.50056i | −0.0501898 | + | 0.284641i | ||||
\(251\) | −5.70251 | + | 9.87703i | −0.359939 | + | 0.623433i | −0.987950 | − | 0.154772i | \(-0.950536\pi\) |
0.628011 | + | 0.778204i | \(0.283869\pi\) | |||||||
\(252\) | −3.06454 | + | 7.32179i | −0.193048 | + | 0.461229i | ||||
\(253\) | −0.741729 | − | 1.28471i | −0.0466321 | − | 0.0807692i | ||||
\(254\) | −9.52770 | + | 3.46780i | −0.597821 | + | 0.217589i | ||||
\(255\) | 3.90876 | − | 6.68643i | 0.244776 | − | 0.418720i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −3.59882 | − | 1.30986i | −0.224488 | − | 0.0817071i | 0.227327 | − | 0.973818i | \(-0.427001\pi\) |
−0.451816 | + | 0.892111i | \(0.649224\pi\) | |||||||
\(258\) | 21.3050 | + | 0.115182i | 1.32639 | + | 0.00717095i | ||||
\(259\) | 19.3259 | + | 4.14040i | 1.20085 | + | 0.257272i | ||||
\(260\) | 6.01098 | + | 10.4113i | 0.372785 | + | 0.645683i | ||||
\(261\) | −7.28220 | + | 12.3040i | −0.450757 | + | 0.761596i | ||||
\(262\) | 8.14748 | 0.503353 | ||||||||
\(263\) | 21.5405 | + | 18.0746i | 1.32824 | + | 1.11453i | 0.984485 | + | 0.175468i | \(0.0561437\pi\) |
0.343756 | + | 0.939059i | \(0.388301\pi\) | |||||||
\(264\) | −0.394857 | + | 0.327703i | −0.0243018 | + | 0.0201687i | ||||
\(265\) | −24.9571 | + | 20.9415i | −1.53310 | + | 1.28642i | ||||
\(266\) | 3.26833 | − | 8.05204i | 0.200394 | − | 0.493702i | ||||
\(267\) | 16.2008 | − | 5.79760i | 0.991471 | − | 0.354808i | ||||
\(268\) | 7.92952 | + | 6.65365i | 0.484372 | + | 0.406437i | ||||
\(269\) | 6.44483 | + | 11.1628i | 0.392948 | + | 0.680606i | 0.992837 | − | 0.119477i | \(-0.0381219\pi\) |
−0.599889 | + | 0.800083i | \(0.704789\pi\) | |||||||
\(270\) | −7.32857 | − | 13.1827i | −0.446003 | − | 0.802273i | ||||
\(271\) | 3.15205 | − | 5.45951i | 0.191473 | − | 0.331642i | −0.754265 | − | 0.656570i | \(-0.772007\pi\) |
0.945739 | + | 0.324928i | \(0.105340\pi\) | |||||||
\(272\) | 0.267508 | − | 1.51711i | 0.0162201 | − | 0.0919885i | ||||
\(273\) | −18.5366 | − | 4.07623i | −1.12189 | − | 0.246704i | ||||
\(274\) | 17.6311 | + | 6.41718i | 1.06513 | + | 0.387676i | ||||
\(275\) | 0.176227 | + | 0.999434i | 0.0106269 | + | 0.0602681i | ||||
\(276\) | 6.67396 | − | 5.53891i | 0.401725 | − | 0.333403i | ||||
\(277\) | −7.28363 | − | 6.11169i | −0.437631 | − | 0.367216i | 0.397191 | − | 0.917736i | \(-0.369985\pi\) |
−0.834822 | + | 0.550520i | \(0.814429\pi\) | |||||||
\(278\) | −10.8645 | − | 18.8178i | −0.651607 | − | 1.12862i | ||||
\(279\) | 1.69343 | − | 9.03176i | 0.101383 | − | 0.540717i | ||||
\(280\) | 6.50627 | + | 4.08015i | 0.388824 | + | 0.243836i | ||||
\(281\) | 24.5846 | + | 20.6289i | 1.46660 | + | 1.23062i | 0.919227 | + | 0.393728i | \(0.128815\pi\) |
0.547369 | + | 0.836892i | \(0.315630\pi\) | |||||||
\(282\) | 1.00986 | + | 1.77117i | 0.0601361 | + | 0.105471i | ||||
\(283\) | 16.2025 | − | 13.5955i | 0.963137 | − | 0.808168i | −0.0183239 | − | 0.999832i | \(-0.505833\pi\) |
0.981461 | + | 0.191665i | \(0.0613886\pi\) | |||||||
\(284\) | 8.64796 | − | 7.25650i | 0.513162 | − | 0.430594i | ||||
\(285\) | 8.17924 | + | 14.3454i | 0.484497 | + | 0.849749i | ||||
\(286\) | −0.939928 | − | 0.788693i | −0.0555791 | − | 0.0466364i | ||||
\(287\) | 0.357611 | − | 9.78859i | 0.0211091 | − | 0.577802i | ||||
\(288\) | −2.27715 | − | 1.95310i | −0.134182 | − | 0.115087i | ||||
\(289\) | 7.31340 | + | 12.6672i | 0.430200 | + | 0.745129i | ||||
\(290\) | 10.5972 | + | 8.89214i | 0.622291 | + | 0.522164i | ||||
\(291\) | −2.43317 | + | 2.01936i | −0.142635 | + | 0.118377i | ||||
\(292\) | 2.11855 | + | 12.0149i | 0.123979 | + | 0.703119i | ||||
\(293\) | −7.49941 | − | 2.72956i | −0.438120 | − | 0.159463i | 0.113537 | − | 0.993534i | \(-0.463782\pi\) |
−0.551657 | + | 0.834071i | \(0.686004\pi\) | |||||||
\(294\) | −11.6831 | + | 3.24125i | −0.681371 | + | 0.189034i | ||||
\(295\) | 0.0240411 | − | 0.136344i | 0.00139973 | − | 0.00793825i | ||||
\(296\) | −3.73513 | + | 6.46944i | −0.217100 | + | 0.376029i | ||||
\(297\) | 1.16304 | + | 1.00849i | 0.0674862 | + | 0.0585187i | ||||
\(298\) | −6.26291 | − | 10.8477i | −0.362801 | − | 0.628390i | ||||
\(299\) | 15.8869 | + | 13.3307i | 0.918761 | + | 0.770932i | ||||
\(300\) | −5.58638 | + | 1.99914i | −0.322530 | + | 0.115420i | ||||
\(301\) | 19.9950 | + | 25.6776i | 1.15249 | + | 1.48003i | ||||
\(302\) | 14.3299 | − | 12.0242i | 0.824591 | − | 0.691914i | ||||
\(303\) | −11.5617 | + | 9.59537i | −0.664201 | + | 0.551239i | ||||
\(304\) | 2.51610 | + | 2.11126i | 0.144308 | + | 0.121089i | ||||
\(305\) | 5.56748 | 0.318793 | ||||||||
\(306\) | −4.62128 | − | 0.0499701i | −0.264181 | − | 0.00285660i | ||||
\(307\) | 17.0773 | + | 29.5787i | 0.974652 | + | 1.68815i | 0.681080 | + | 0.732209i | \(0.261511\pi\) |
0.293572 | + | 0.955937i | \(0.405156\pi\) | |||||||
\(308\) | −0.766425 | − | 0.164199i | −0.0436711 | − | 0.00935613i | ||||
\(309\) | −19.7056 | − | 0.106536i | −1.12102 | − | 0.00606061i | ||||
\(310\) | −8.35487 | − | 3.04093i | −0.474525 | − | 0.172713i | ||||
\(311\) | −6.83967 | + | 5.73916i | −0.387842 | + | 0.325438i | −0.815772 | − | 0.578374i | \(-0.803687\pi\) |
0.427930 | + | 0.903812i | \(0.359243\pi\) | |||||||
\(312\) | 3.62032 | − | 6.19301i | 0.204960 | − | 0.350610i | ||||
\(313\) | −13.1423 | + | 4.78339i | −0.742845 | + | 0.270373i | −0.685592 | − | 0.727986i | \(-0.740456\pi\) |
−0.0572531 | + | 0.998360i | \(0.518234\pi\) | |||||||
\(314\) | 6.28214 | + | 10.8810i | 0.354522 | + | 0.614049i | ||||
\(315\) | 8.89541 | − | 21.2529i | 0.501200 | − | 1.19746i | ||||
\(316\) | 2.24329 | − | 3.88549i | 0.126195 | − | 0.218576i | ||||
\(317\) | 3.66854 | − | 20.8053i | 0.206046 | − | 1.16854i | −0.689740 | − | 0.724057i | \(-0.742275\pi\) |
0.895786 | − | 0.444486i | \(-0.146614\pi\) | |||||||
\(318\) | 18.2316 | + | 6.74759i | 1.02238 | + | 0.378386i | ||||
\(319\) | −1.32675 | − | 0.482898i | −0.0742839 | − | 0.0270371i | ||||
\(320\) | −2.22359 | + | 1.86581i | −0.124302 | + | 0.104302i | ||||
\(321\) | −22.1661 | − | 18.8047i | −1.23719 | − | 1.04958i | ||||
\(322\) | 12.9543 | + | 2.77533i | 0.721914 | + | 0.154663i | ||||
\(323\) | 5.05989 | 0.281540 | ||||||||
\(324\) | −4.66749 | + | 7.69510i | −0.259305 | + | 0.427506i | ||||
\(325\) | −7.09384 | − | 12.2869i | −0.393496 | − | 0.681554i | ||||
\(326\) | 8.79457 | − | 3.20096i | 0.487086 | − | 0.177285i | ||||
\(327\) | 30.4919 | − | 10.9118i | 1.68621 | − | 0.603425i | ||||
\(328\) | 3.47894 | + | 1.26623i | 0.192092 | + | 0.0699158i | ||||
\(329\) | −1.17131 | + | 2.88571i | −0.0645766 | + | 0.159094i | ||||
\(330\) | 1.14615 | − | 0.951220i | 0.0630933 | − | 0.0523629i | ||||
\(331\) | 2.06913 | − | 11.7346i | 0.113730 | − | 0.644992i | −0.873642 | − | 0.486570i | \(-0.838248\pi\) |
0.987371 | − | 0.158423i | \(-0.0506409\pi\) | |||||||
\(332\) | 8.85849 | 0.486173 | ||||||||
\(333\) | 20.9752 | + | 7.89220i | 1.14943 | + | 0.432490i | ||||
\(334\) | 16.7840 | 0.918378 | ||||||||
\(335\) | −23.0169 | − | 19.3135i | −1.25755 | − | 1.05521i | ||||
\(336\) | 0.192061 | − | 4.57855i | 0.0104778 | − | 0.249780i | ||||
\(337\) | 1.19041 | + | 6.75113i | 0.0648456 | + | 0.367757i | 0.999912 | + | 0.0132843i | \(0.00422865\pi\) |
−0.935066 | + | 0.354473i | \(0.884660\pi\) | |||||||
\(338\) | 3.90290 | + | 1.42054i | 0.212290 | + | 0.0772672i | ||||
\(339\) | −9.76381 | − | 17.1246i | −0.530298 | − | 0.930079i | ||||
\(340\) | −0.776493 | + | 4.40371i | −0.0421112 | + | 0.238825i | ||||
\(341\) | 0.907443 | 0.0491408 | ||||||||
\(342\) | 5.01879 | − | 8.47971i | 0.271385 | − | 0.458530i | ||||
\(343\) | −14.9304 | − | 10.9582i | −0.806167 | − | 0.591687i | ||||
\(344\) | −11.5588 | + | 4.20706i | −0.623209 | + | 0.226830i | ||||
\(345\) | −19.3724 | + | 16.0777i | −1.04298 | + | 0.865595i | ||||
\(346\) | −6.87188 | − | 2.50116i | −0.369435 | − | 0.134463i | ||||
\(347\) | −3.76895 | − | 21.3748i | −0.202328 | − | 1.14746i | −0.901589 | − | 0.432593i | \(-0.857599\pi\) |
0.699261 | − | 0.714866i | \(-0.253512\pi\) | |||||||
\(348\) | 1.47733 | − | 8.12138i | 0.0791934 | − | 0.435352i | ||||
\(349\) | 3.07425 | − | 17.4349i | 0.164561 | − | 0.933271i | −0.784955 | − | 0.619553i | \(-0.787314\pi\) |
0.949516 | − | 0.313718i | \(-0.101575\pi\) | |||||||
\(350\) | −7.67836 | − | 4.81518i | −0.410425 | − | 0.257382i | ||||
\(351\) | −20.1008 | − | 7.68753i | −1.07290 | − | 0.410330i | ||||
\(352\) | 0.148128 | − | 0.256564i | 0.00789522 | − | 0.0136749i | ||||
\(353\) | 24.5375 | − | 8.93092i | 1.30600 | − | 0.475345i | 0.407053 | − | 0.913404i | \(-0.366556\pi\) |
0.898946 | + | 0.438060i | \(0.144334\pi\) | |||||||
\(354\) | −0.0777818 | + | 0.0278350i | −0.00413405 | + | 0.00147941i | ||||
\(355\) | −25.1023 | + | 21.0633i | −1.33229 | + | 1.11793i | ||||
\(356\) | −7.61020 | + | 6.38571i | −0.403340 | + | 0.338442i | ||||
\(357\) | −4.30714 | − | 5.59335i | −0.227958 | − | 0.296032i | ||||
\(358\) | −15.8986 | + | 5.78661i | −0.840266 | + | 0.305832i | ||||
\(359\) | −10.8116 | − | 18.7262i | −0.570614 | − | 0.988332i | −0.996503 | − | 0.0835567i | \(-0.973372\pi\) |
0.425889 | − | 0.904775i | \(-0.359961\pi\) | |||||||
\(360\) | 6.60985 | + | 5.66924i | 0.348370 | + | 0.298795i | ||||
\(361\) | 4.10590 | − | 7.11163i | 0.216100 | − | 0.374297i | ||||
\(362\) | 9.56661 | − | 3.48196i | 0.502810 | − | 0.183008i | ||||
\(363\) | 9.53862 | − | 16.3170i | 0.500648 | − | 0.856421i | ||||
\(364\) | 10.8536 | − | 1.50755i | 0.568884 | − | 0.0790173i | ||||
\(365\) | −6.14950 | − | 34.8755i | −0.321879 | − | 1.82547i | ||||
\(366\) | −1.64549 | − | 2.88600i | −0.0860113 | − | 0.150854i | ||||
\(367\) | −2.48696 | + | 14.1042i | −0.129818 | + | 0.736235i | 0.848511 | + | 0.529178i | \(0.177500\pi\) |
−0.978329 | + | 0.207057i | \(0.933612\pi\) | |||||||
\(368\) | −2.50368 | + | 4.33651i | −0.130514 | + | 0.226056i | ||||
\(369\) | 2.04680 | − | 10.9164i | 0.106552 | − | 0.568285i | ||||
\(370\) | 10.8419 | − | 18.7788i | 0.563645 | − | 0.976262i | ||||
\(371\) | 9.13087 | + | 28.2567i | 0.474051 | + | 1.46701i | ||||
\(372\) | 0.893005 | + | 5.22966i | 0.0463002 | + | 0.271145i | ||||
\(373\) | −2.80119 | − | 15.8863i | −0.145040 | − | 0.822564i | −0.967335 | − | 0.253502i | \(-0.918418\pi\) |
0.822295 | − | 0.569062i | \(-0.192694\pi\) | |||||||
\(374\) | −0.0792506 | − | 0.449453i | −0.00409795 | − | 0.0232406i | ||||
\(375\) | −7.45262 | + | 2.66699i | −0.384852 | + | 0.137723i | ||||
\(376\) | −0.901727 | − | 0.756639i | −0.0465030 | − | 0.0390207i | ||||
\(377\) | 19.7385 | 1.01658 | ||||||||
\(378\) | −13.6459 | + | 1.67029i | −0.701868 | + | 0.0859106i | ||||
\(379\) | −7.89841 | −0.405714 | −0.202857 | − | 0.979208i | \(-0.565023\pi\) | ||||
−0.202857 | + | 0.979208i | \(0.565023\pi\) | |||||||
\(380\) | −7.30346 | − | 6.12833i | −0.374660 | − | 0.314377i | ||||
\(381\) | −13.3917 | − | 11.3609i | −0.686078 | − | 0.582037i | ||||
\(382\) | 2.91728 | + | 16.5447i | 0.149261 | + | 0.846502i | ||||
\(383\) | −1.35456 | − | 7.68212i | −0.0692150 | − | 0.392538i | −0.999659 | − | 0.0261043i | \(-0.991690\pi\) |
0.930444 | − | 0.366434i | \(-0.119421\pi\) | |||||||
\(384\) | 1.62437 | + | 0.601187i | 0.0828932 | + | 0.0306792i | ||||
\(385\) | 2.22469 | + | 0.476620i | 0.113381 | + | 0.0242908i | ||||
\(386\) | 3.89712 | − | 6.75000i | 0.198358 | − | 0.343566i | ||||
\(387\) | 18.1043 | + | 32.1556i | 0.920294 | + | 1.63456i | ||||
\(388\) | 0.912785 | − | 1.58099i | 0.0463397 | − | 0.0802626i | ||||
\(389\) | 2.78935 | − | 15.8192i | 0.141426 | − | 0.802066i | −0.828742 | − | 0.559631i | \(-0.810943\pi\) |
0.970168 | − | 0.242435i | \(-0.0779461\pi\) | |||||||
\(390\) | −10.5087 | + | 17.9764i | −0.532127 | + | 0.910270i | ||||
\(391\) | 1.33951 | + | 7.59675i | 0.0677420 | + | 0.384184i | ||||
\(392\) | 5.67634 | − | 4.09623i | 0.286699 | − | 0.206891i | ||||
\(393\) | 6.98975 | + | 12.2592i | 0.352586 | + | 0.618394i | ||||
\(394\) | 10.8514 | − | 3.94960i | 0.546688 | − | 0.198978i | ||||
\(395\) | −6.51157 | + | 11.2784i | −0.327633 | + | 0.567477i | ||||
\(396\) | −0.831831 | − | 0.312988i | −0.0418011 | − | 0.0157282i | ||||
\(397\) | 10.2075 | + | 17.6799i | 0.512300 | + | 0.887329i | 0.999898 | + | 0.0142611i | \(0.00453959\pi\) |
−0.487599 | + | 0.873068i | \(0.662127\pi\) | |||||||
\(398\) | −21.6805 | + | 7.89104i | −1.08674 | + | 0.395542i | ||||
\(399\) | 14.9195 | − | 1.99015i | 0.746909 | − | 0.0996319i | ||||
\(400\) | 2.62416 | − | 2.20193i | 0.131208 | − | 0.110097i | ||||
\(401\) | 1.92221 | − | 1.61293i | 0.0959907 | − | 0.0805458i | −0.593529 | − | 0.804812i | \(-0.702266\pi\) |
0.689520 | + | 0.724267i | \(0.257821\pi\) | |||||||
\(402\) | −3.20873 | + | 17.6394i | −0.160037 | + | 0.879774i | ||||
\(403\) | −11.9210 | + | 4.33891i | −0.593830 | + | 0.216136i | ||||
\(404\) | 4.33728 | − | 7.51238i | 0.215788 | − | 0.373755i | ||||
\(405\) | 13.5483 | − | 22.3365i | 0.673218 | − | 1.10991i | ||||
\(406\) | 11.1428 | − | 5.90172i | 0.553007 | − | 0.292897i | ||||
\(407\) | −0.384302 | + | 2.17948i | −0.0190491 | + | 0.108033i | ||||
\(408\) | 2.51224 | − | 0.899028i | 0.124374 | − | 0.0445085i | ||||
\(409\) | −0.997291 | − | 5.65592i | −0.0493128 | − | 0.279667i | 0.950173 | − | 0.311722i | \(-0.100906\pi\) |
−0.999486 | + | 0.0320553i | \(0.989795\pi\) | |||||||
\(410\) | −10.0983 | − | 3.67547i | −0.498718 | − | 0.181518i | ||||
\(411\) | 5.47007 | + | 32.0341i | 0.269819 | + | 1.58012i | ||||
\(412\) | 10.6911 | − | 3.89124i | 0.526713 | − | 0.191708i | ||||
\(413\) | −0.106909 | − | 0.0670440i | −0.00526066 | − | 0.00329902i | ||||
\(414\) | 14.0598 | + | 5.29019i | 0.691001 | + | 0.259999i | ||||
\(415\) | −25.7134 | −1.26222 | ||||||||
\(416\) | −0.719192 | + | 4.07874i | −0.0352613 | + | 0.199977i | ||||
\(417\) | 18.9937 | − | 32.4912i | 0.930128 | − | 1.59110i | ||||
\(418\) | 0.914378 | + | 0.332807i | 0.0447237 | + | 0.0162781i | ||||
\(419\) | −2.00536 | − | 11.3730i | −0.0979683 | − | 0.555606i | −0.993797 | − | 0.111207i | \(-0.964528\pi\) |
0.895829 | − | 0.444399i | \(-0.146583\pi\) | |||||||
\(420\) | −0.557494 | + | 13.2901i | −0.0272029 | + | 0.648491i | ||||
\(421\) | −21.2715 | − | 17.8489i | −1.03671 | − | 0.869901i | −0.0450738 | − | 0.998984i | \(-0.514352\pi\) |
−0.991634 | + | 0.129083i | \(0.958797\pi\) | |||||||
\(422\) | 2.71578 | 0.132202 | ||||||||
\(423\) | −1.79865 | + | 3.03898i | −0.0874531 | + | 0.147760i | ||||
\(424\) | −11.2238 | −0.545075 | ||||||||
\(425\) | 0.916376 | − | 5.19703i | 0.0444508 | − | 0.252093i | ||||
\(426\) | 18.3377 | + | 6.78686i | 0.888463 | + | 0.328824i | ||||
\(427\) | 1.90858 | − | 4.70207i | 0.0923625 | − | 0.227549i | ||||
\(428\) | 15.7704 | + | 5.73995i | 0.762290 | + | 0.277451i | ||||
\(429\) | 0.380348 | − | 2.09089i | 0.0183634 | − | 0.100949i | ||||
\(430\) | 33.5516 | − | 12.2118i | 1.61800 | − | 0.588905i | ||||
\(431\) | 6.92449 | + | 11.9936i | 0.333541 | + | 0.577710i | 0.983203 | − | 0.182513i | \(-0.0584232\pi\) |
−0.649663 | + | 0.760223i | \(0.725090\pi\) | |||||||
\(432\) | 0.985176 | − | 5.10190i | 0.0473993 | − | 0.245465i | ||||
\(433\) | −30.2784 | −1.45509 | −0.727543 | − | 0.686062i | \(-0.759338\pi\) | ||||
−0.727543 | + | 0.686062i | \(0.759338\pi\) | |||||||
\(434\) | −5.43237 | + | 6.01375i | −0.260762 | + | 0.288669i | ||||
\(435\) | −4.28824 | + | 23.5738i | −0.205605 | + | 1.13028i | ||||
\(436\) | −14.3234 | + | 12.0187i | −0.685964 | + | 0.575592i | ||||
\(437\) | −15.4550 | − | 5.62517i | −0.739314 | − | 0.269088i | ||||
\(438\) | −16.2608 | + | 13.4953i | −0.776973 | + | 0.644832i | ||||
\(439\) | −0.601480 | + | 3.41116i | −0.0287071 | + | 0.162806i | −0.995791 | − | 0.0916509i | \(-0.970786\pi\) |
0.967084 | + | 0.254457i | \(0.0818967\pi\) | |||||||
\(440\) | −0.429968 | + | 0.744727i | −0.0204979 | + | 0.0355034i | ||||
\(441\) | −14.8999 | − | 14.7984i | −0.709521 | − | 0.704685i | ||||
\(442\) | 3.19015 | + | 5.52551i | 0.151740 | + | 0.262822i | ||||
\(443\) | 17.3888 | − | 6.32901i | 0.826167 | − | 0.300700i | 0.105882 | − | 0.994379i | \(-0.466233\pi\) |
0.720285 | + | 0.693678i | \(0.244011\pi\) | |||||||
\(444\) | −12.9387 | − | 0.0699512i | −0.614043 | − | 0.00331974i | ||||
\(445\) | 22.0900 | − | 18.5357i | 1.04717 | − | 0.878678i | ||||
\(446\) | 4.67914 | + | 1.70307i | 0.221564 | + | 0.0806426i | ||||
\(447\) | 10.9491 | − | 18.7298i | 0.517875 | − | 0.885890i | ||||
\(448\) | 0.813528 | + | 2.51757i | 0.0384356 | + | 0.118944i | ||||
\(449\) | 10.3958 | + | 18.0061i | 0.490609 | + | 0.849759i | 0.999942 | − | 0.0108104i | \(-0.00344112\pi\) |
−0.509333 | + | 0.860570i | \(0.670108\pi\) | |||||||
\(450\) | −7.80060 | − | 6.69053i | −0.367724 | − | 0.315395i | ||||
\(451\) | 1.09680 | 0.0516462 | ||||||||
\(452\) | 8.71837 | + | 7.31558i | 0.410077 | + | 0.344096i | ||||
\(453\) | 30.3859 | + | 11.2460i | 1.42766 | + | 0.528382i | ||||
\(454\) | 1.18056 | − | 0.990607i | 0.0554064 | − | 0.0464915i | ||||
\(455\) | −31.5047 | + | 4.37596i | −1.47696 | + | 0.205148i | ||||
\(456\) | −1.01816 | + | 5.59714i | −0.0476796 | + | 0.262110i | ||||
\(457\) | 0.851085 | + | 0.714145i | 0.0398121 | + | 0.0334063i | 0.662477 | − | 0.749083i | \(-0.269505\pi\) |
−0.622665 | + | 0.782489i | \(0.713950\pi\) | |||||||
\(458\) | −2.04739 | − | 3.54619i | −0.0956684 | − | 0.165703i | ||||
\(459\) | −3.88943 | − | 6.99633i | −0.181543 | − | 0.326561i | ||||
\(460\) | 7.26741 | − | 12.5875i | 0.338845 | − | 0.586897i | ||||
\(461\) | −4.81360 | + | 27.2993i | −0.224192 | + | 1.27145i | 0.640033 | + | 0.768347i | \(0.278921\pi\) |
−0.864225 | + | 0.503106i | \(0.832190\pi\) | |||||||
\(462\) | −0.410455 | − | 1.29408i | −0.0190961 | − | 0.0602059i | ||||
\(463\) | −16.8063 | − | 6.11699i | −0.781054 | − | 0.284281i | −0.0794421 | − | 0.996839i | \(-0.525314\pi\) |
−0.701612 | + | 0.712559i | \(0.747536\pi\) | |||||||
\(464\) | 0.827577 | + | 4.69342i | 0.0384193 | + | 0.217887i | ||||
\(465\) | −2.59212 | − | 15.1801i | −0.120206 | − | 0.703959i | ||||
\(466\) | 14.9433 | + | 12.5389i | 0.692234 | + | 0.580853i | ||||
\(467\) | 8.99768 | + | 15.5844i | 0.416363 | + | 0.721161i | 0.995570 | − | 0.0940186i | \(-0.0299713\pi\) |
−0.579208 | + | 0.815180i | \(0.696638\pi\) | |||||||
\(468\) | 12.4243 | + | 0.134344i | 0.574312 | + | 0.00621005i | ||||
\(469\) | −24.2018 | + | 12.8184i | −1.11754 | + | 0.591897i | ||||
\(470\) | 2.61743 | + | 2.19629i | 0.120733 | + | 0.101307i | ||||
\(471\) | −10.9827 | + | 18.7873i | −0.506057 | + | 0.865674i | ||||
\(472\) | 0.0365374 | − | 0.0306585i | 0.00168177 | − | 0.00141117i | ||||
\(473\) | −2.79156 | + | 2.34240i | −0.128356 | + | 0.107704i | ||||
\(474\) | 7.77087 | + | 0.0420121i | 0.356928 | + | 0.00192968i | ||||
\(475\) | 8.61916 | + | 7.23234i | 0.395474 | + | 0.331842i | ||||
\(476\) | 3.45301 | + | 2.16542i | 0.158269 | + | 0.0992520i | ||||
\(477\) | 5.48809 | + | 33.2211i | 0.251282 | + | 1.52109i | ||||
\(478\) | 2.28219 | + | 3.95287i | 0.104385 | + | 0.180800i | ||||
\(479\) | 3.67027 | + | 3.07972i | 0.167699 | + | 0.140716i | 0.722775 | − | 0.691084i | \(-0.242866\pi\) |
−0.555076 | + | 0.831800i | \(0.687311\pi\) | |||||||
\(480\) | −4.71504 | − | 1.74506i | −0.215211 | − | 0.0796506i | ||||
\(481\) | −5.37256 | − | 30.4693i | −0.244968 | − | 1.38928i | ||||
\(482\) | −26.2672 | − | 9.56048i | −1.19644 | − | 0.435468i | ||||
\(483\) | 6.93759 | + | 21.8728i | 0.315671 | + | 0.995246i | ||||
\(484\) | −1.89489 | + | 10.7465i | −0.0861313 | + | 0.488475i | ||||
\(485\) | −2.64953 | + | 4.58912i | −0.120309 | + | 0.208381i | ||||
\(486\) | −15.5828 | − | 0.421328i | −0.706848 | − | 0.0191118i | ||||
\(487\) | 1.98528 | + | 3.43861i | 0.0899616 | + | 0.155818i | 0.907495 | − | 0.420064i | \(-0.137992\pi\) |
−0.817533 | + | 0.575882i | \(0.804659\pi\) | |||||||
\(488\) | 1.46930 | + | 1.23289i | 0.0665123 | + | 0.0558104i | ||||
\(489\) | 12.3612 | + | 10.4867i | 0.558995 | + | 0.474226i | ||||
\(490\) | −16.4767 | + | 11.8901i | −0.744339 | + | 0.537139i | ||||
\(491\) | −13.9317 | + | 11.6901i | −0.628728 | + | 0.527565i | −0.900533 | − | 0.434787i | \(-0.856824\pi\) |
0.271806 | + | 0.962352i | \(0.412379\pi\) | |||||||
\(492\) | 1.07935 | + | 6.32092i | 0.0486607 | + | 0.284969i | ||||
\(493\) | 5.62418 | + | 4.71924i | 0.253300 | + | 0.212544i | ||||
\(494\) | −13.6035 | −0.612048 | ||||||||
\(495\) | 2.41455 | + | 0.908507i | 0.108526 | + | 0.0408343i | ||||
\(496\) | −1.53152 | − | 2.65268i | −0.0687674 | − | 0.119109i | ||||
\(497\) | 9.18401 | + | 28.4211i | 0.411959 | + | 1.27486i | ||||
\(498\) | 7.59973 | + | 13.3290i | 0.340552 | + | 0.597288i | ||||
\(499\) | −18.1265 | − | 6.59752i | −0.811456 | − | 0.295346i | −0.0972306 | − | 0.995262i | \(-0.530998\pi\) |
−0.714225 | + | 0.699916i | \(0.753221\pi\) | |||||||
\(500\) | 3.50082 | − | 2.93753i | 0.156561 | − | 0.131371i | ||||
\(501\) | 14.3990 | + | 25.2542i | 0.643301 | + | 1.12827i | ||||
\(502\) | 10.7172 | − | 3.90074i | 0.478332 | − | 0.174099i | ||||
\(503\) | 10.2088 | + | 17.6822i | 0.455190 | + | 0.788412i | 0.998699 | − | 0.0509915i | \(-0.0162381\pi\) |
−0.543509 | + | 0.839403i | \(0.682905\pi\) | |||||||
\(504\) | 7.05393 | − | 3.63897i | 0.314207 | − | 0.162092i | ||||
\(505\) | −12.5898 | + | 21.8061i | −0.560237 | + | 0.970359i | ||||
\(506\) | −0.257600 | + | 1.46092i | −0.0114517 | + | 0.0649459i | ||||
\(507\) | 1.21088 | + | 7.09123i | 0.0537772 | + | 0.314933i | ||||
\(508\) | 9.52770 | + | 3.46780i | 0.422723 | + | 0.153859i | ||||
\(509\) | 33.4230 | − | 28.0452i | 1.48145 | − | 1.24308i | 0.576829 | − | 0.816865i | \(-0.304290\pi\) |
0.904620 | − | 0.426219i | \(-0.140155\pi\) | |||||||
\(510\) | −7.29224 | + | 2.60960i | −0.322906 | + | 0.115555i | ||||
\(511\) | −31.5626 | − | 6.76199i | −1.39625 | − | 0.299133i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 17.0647 | + | 0.276795i | 0.753426 | + | 0.0122208i | ||||
\(514\) | 1.91489 | + | 3.31669i | 0.0844623 | + | 0.146293i | ||||
\(515\) | −31.0329 | + | 11.2951i | −1.36747 | + | 0.497720i | ||||
\(516\) | −16.2465 | − | 13.7828i | −0.715214 | − | 0.606755i | ||||
\(517\) | −0.327697 | − | 0.119272i | −0.0144121 | − | 0.00524558i | ||||
\(518\) | −12.1431 | − | 15.5942i | −0.533538 | − | 0.685170i | ||||
\(519\) | −2.13201 | − | 12.4856i | −0.0935850 | − | 0.548057i | ||||
\(520\) | 2.08759 | − | 11.8393i | 0.0915469 | − | 0.519189i | ||||
\(521\) | −15.2210 | −0.666844 | −0.333422 | − | 0.942778i | \(-0.608203\pi\) | ||||
−0.333422 | + | 0.942778i | \(0.608203\pi\) | |||||||
\(522\) | 13.4873 | − | 4.74447i | 0.590324 | − | 0.207660i | ||||
\(523\) | 10.6619 | 0.466211 | 0.233106 | − | 0.972451i | \(-0.425111\pi\) | ||||
0.233106 | + | 0.972451i | \(0.425111\pi\) | |||||||
\(524\) | −6.24133 | − | 5.23710i | −0.272654 | − | 0.228784i | ||||
\(525\) | 0.657925 | − | 15.6843i | 0.0287142 | − | 0.684518i | ||||
\(526\) | −4.88282 | − | 27.6919i | −0.212901 | − | 1.20742i | ||||
\(527\) | −4.43411 | − | 1.61388i | −0.193153 | − | 0.0703018i | ||||
\(528\) | 0.513121 | + | 0.00277412i | 0.0223307 | + | 0.000120728i | ||||
\(529\) | 0.360100 | − | 2.04223i | 0.0156565 | − | 0.0887925i | ||||
\(530\) | 32.5792 | 1.41515 | ||||||||
\(531\) | −0.108611 | − | 0.0931554i | −0.00471333 | − | 0.00404260i | ||||
\(532\) | −7.67944 | + | 4.06738i | −0.332946 | + | 0.176343i | ||||
\(533\) | −14.4086 | + | 5.24430i | −0.624105 | + | 0.227156i | ||||
\(534\) | −16.1371 | − | 5.97243i | −0.698322 | − | 0.258453i | ||||
\(535\) | −45.7765 | − | 16.6613i | −1.97909 | − | 0.720330i | ||||
\(536\) | −1.79748 | − | 10.1940i | −0.0776391 | − | 0.440313i | ||||
\(537\) | −22.3463 | − | 18.9576i | −0.964315 | − | 0.818081i | ||||
\(538\) | 2.23826 | − | 12.6938i | 0.0964984 | − | 0.547270i | ||||
\(539\) | 1.16518 | − | 1.71550i | 0.0501878 | − | 0.0738919i | ||||
\(540\) | −2.85966 | + | 14.8092i | −0.123060 | + | 0.637288i | ||||
\(541\) | −11.1950 | + | 19.3903i | −0.481311 | + | 0.833654i | −0.999770 | − | 0.0214478i | \(-0.993172\pi\) |
0.518459 | + | 0.855102i | \(0.326506\pi\) | |||||||
\(542\) | −5.92392 | + | 2.15613i | −0.254454 | + | 0.0926137i | ||||
\(543\) | 13.4464 | + | 11.4073i | 0.577040 | + | 0.489535i | ||||
\(544\) | −1.18010 | + | 0.990226i | −0.0505966 | + | 0.0424556i | ||||
\(545\) | 41.5762 | − | 34.8866i | 1.78093 | − | 1.49438i | ||||
\(546\) | 11.5797 | + | 15.0377i | 0.495566 | + | 0.643553i | ||||
\(547\) | 28.0019 | − | 10.1918i | 1.19727 | − | 0.435772i | 0.335002 | − | 0.942217i | \(-0.391263\pi\) |
0.862272 | + | 0.506445i | \(0.169041\pi\) | |||||||
\(548\) | −9.38129 | − | 16.2489i | −0.400749 | − | 0.694118i | ||||
\(549\) | 2.93077 | − | 4.95182i | 0.125082 | − | 0.211338i | ||||
\(550\) | 0.507426 | − | 0.878887i | 0.0216367 | − | 0.0374759i | ||||
\(551\) | −14.7095 | + | 5.35383i | −0.626646 | + | 0.228081i | ||||
\(552\) | −8.67289 | − | 0.0468887i | −0.369143 | − | 0.00199572i | ||||
\(553\) | 7.29306 | + | 9.36574i | 0.310132 | + | 0.398272i | ||||
\(554\) | 1.65106 | + | 9.36365i | 0.0701470 | + | 0.397823i | ||||
\(555\) | 37.5570 | + | 0.203047i | 1.59421 | + | 0.00861885i | ||||
\(556\) | −3.77319 | + | 21.3988i | −0.160019 | + | 0.907512i | ||||
\(557\) | 13.7151 | − | 23.7553i | 0.581129 | − | 1.00655i | −0.414217 | − | 0.910178i | \(-0.635944\pi\) |
0.995346 | − | 0.0963671i | \(-0.0307223\pi\) | |||||||
\(558\) | −7.10274 | + | 5.83021i | −0.300683 | + | 0.246812i | ||||
\(559\) | 25.4725 | − | 44.1197i | 1.07737 | − | 1.86607i | ||||
\(560\) | −2.36142 | − | 7.30773i | −0.0997882 | − | 0.308808i | ||||
\(561\) | 0.608284 | − | 0.504832i | 0.0256818 | − | 0.0213140i | ||||
\(562\) | −5.57288 | − | 31.6054i | −0.235078 | − | 1.33319i | ||||
\(563\) | 4.71567 | + | 26.7439i | 0.198742 | + | 1.12712i | 0.906988 | + | 0.421156i | \(0.138375\pi\) |
−0.708247 | + | 0.705965i | \(0.750513\pi\) | |||||||
\(564\) | 0.364890 | − | 2.00592i | 0.0153646 | − | 0.0844643i | ||||
\(565\) | −25.3067 | − | 21.2348i | −1.06466 | − | 0.893357i | ||||
\(566\) | −21.1508 | −0.889035 | ||||||||
\(567\) | −14.2201 | − | 19.0995i | −0.597187 | − | 0.802102i | ||||
\(568\) | −11.2891 | −0.473680 | ||||||||
\(569\) | 8.55787 | + | 7.18091i | 0.358765 | + | 0.301039i | 0.804298 | − | 0.594226i | \(-0.202542\pi\) |
−0.445533 | + | 0.895265i | \(0.646986\pi\) | |||||||
\(570\) | 2.95539 | − | 16.2467i | 0.123788 | − | 0.680501i | ||||
\(571\) | −0.986364 | − | 5.59395i | −0.0412780 | − | 0.234099i | 0.957188 | − | 0.289467i | \(-0.0934780\pi\) |
−0.998466 | + | 0.0553676i | \(0.982367\pi\) | |||||||
\(572\) | 0.213064 | + | 1.20835i | 0.00890867 | + | 0.0505236i | ||||
\(573\) | −22.3915 | + | 18.5833i | −0.935416 | + | 0.776329i | ||||
\(574\) | −6.56593 | + | 7.26863i | −0.274057 | + | 0.303387i | ||||
\(575\) | −8.57662 | + | 14.8551i | −0.357670 | + | 0.619502i | ||||
\(576\) | 0.488970 | + | 2.95988i | 0.0203737 | + | 0.123328i | ||||
\(577\) | 6.53867 | − | 11.3253i | 0.272209 | − | 0.471479i | −0.697219 | − | 0.716859i | \(-0.745579\pi\) |
0.969427 | + | 0.245380i | \(0.0789126\pi\) | |||||||
\(578\) | 2.53992 | − | 14.4046i | 0.105647 | − | 0.599152i | ||||
\(579\) | 13.4998 | + | 0.0729848i | 0.561033 | + | 0.00303315i | ||||
\(580\) | −2.40220 | − | 13.6235i | −0.0997459 | − | 0.565687i | ||||
\(581\) | −8.81478 | + | 21.7166i | −0.365699 | + | 0.900955i | ||||
\(582\) | 3.16194 | + | 0.0170946i | 0.131066 | + | 0.000708592i | ||||
\(583\) | −3.12458 | + | 1.13725i | −0.129407 | + | 0.0471002i | ||||
\(584\) | 6.10013 | − | 10.5657i | 0.252425 | − | 0.437213i | ||||
\(585\) | −36.0638 | − | 0.389959i | −1.49105 | − | 0.0161228i | ||||
\(586\) | 3.99035 | + | 6.91149i | 0.164840 | + | 0.285511i | ||||
\(587\) | −31.4510 | + | 11.4472i | −1.29812 | + | 0.472478i | −0.896385 | − | 0.443276i | \(-0.853816\pi\) |
−0.401738 | + | 0.915755i | \(0.631594\pi\) | |||||||
\(588\) | 11.0332 | + | 5.02679i | 0.455001 | + | 0.207302i | ||||
\(589\) | 7.70694 | − | 6.46689i | 0.317559 | − | 0.266464i | ||||
\(590\) | −0.106057 | + | 0.0889922i | −0.00436629 | + | 0.00366375i | ||||
\(591\) | 15.2523 | + | 12.9394i | 0.627396 | + | 0.532254i | ||||
\(592\) | 7.01976 | − | 2.55498i | 0.288510 | − | 0.105009i | ||||
\(593\) | 13.9689 | − | 24.1948i | 0.573633 | − | 0.993561i | −0.422556 | − | 0.906337i | \(-0.638867\pi\) |
0.996189 | − | 0.0872245i | \(-0.0277997\pi\) | |||||||
\(594\) | −0.242690 | − | 1.52014i | −0.00995768 | − | 0.0623719i | ||||
\(595\) | −10.0230 | − | 6.28555i | −0.410904 | − | 0.257682i | ||||
\(596\) | −2.17509 | + | 12.3355i | −0.0890950 | + | 0.505283i | ||||
\(597\) | −30.4731 | − | 25.8520i | −1.24718 | − | 1.05805i | ||||
\(598\) | −3.60126 | − | 20.4238i | −0.147267 | − | 0.835190i | ||||
\(599\) | 2.35927 | + | 0.858704i | 0.0963972 | + | 0.0350857i | 0.389769 | − | 0.920913i | \(-0.372555\pi\) |
−0.293371 | + | 0.955999i | \(0.594777\pi\) | |||||||
\(600\) | 5.56444 | + | 2.05943i | 0.227167 | + | 0.0840757i | ||||
\(601\) | 13.4389 | − | 4.89138i | 0.548186 | − | 0.199523i | −0.0530544 | − | 0.998592i | \(-0.516896\pi\) |
0.601240 | + | 0.799068i | \(0.294673\pi\) | |||||||
\(602\) | 1.18817 | − | 32.5227i | 0.0484260 | − | 1.32553i | ||||
\(603\) | −29.2941 | + | 10.3049i | −1.19295 | + | 0.419647i | ||||
\(604\) | −18.7063 | −0.761149 | ||||||||
\(605\) | 5.50027 | − | 31.1936i | 0.223618 | − | 1.26820i | ||||
\(606\) | 15.0245 | + | 0.0812281i | 0.610330 | + | 0.00329966i | ||||
\(607\) | −17.7153 | − | 6.44786i | −0.719044 | − | 0.261710i | −0.0435238 | − | 0.999052i | \(-0.513858\pi\) |
−0.675520 | + | 0.737342i | \(0.736081\pi\) | |||||||
\(608\) | −0.570354 | − | 3.23464i | −0.0231309 | − | 0.131182i | ||||
\(609\) | 18.4395 | + | 11.7030i | 0.747206 | + | 0.474229i | ||||
\(610\) | −4.26493 | − | 3.57870i | −0.172682 | − | 0.144897i | ||||
\(611\) | 4.87524 | 0.197231 | ||||||||
\(612\) | 3.50799 | + | 3.00878i | 0.141802 | + | 0.121623i | ||||
\(613\) | −13.0544 | −0.527264 | −0.263632 | − | 0.964623i | \(-0.584920\pi\) | ||||
−0.263632 | + | 0.964623i | \(0.584920\pi\) | |||||||
\(614\) | 5.93088 | − | 33.6357i | 0.239351 | − | 1.35743i | ||||
\(615\) | −3.13301 | − | 18.3477i | −0.126335 | − | 0.739849i | ||||
\(616\) | 0.481571 | + | 0.618433i | 0.0194030 | + | 0.0249174i | ||||
\(617\) | 19.2687 | + | 7.01323i | 0.775729 | + | 0.282342i | 0.699390 | − | 0.714740i | \(-0.253455\pi\) |
0.0763383 | + | 0.997082i | \(0.475677\pi\) | |||||||
\(618\) | 15.0269 | + | 12.7482i | 0.604472 | + | 0.512806i | ||||
\(619\) | −24.2966 | + | 8.84324i | −0.976563 | + | 0.355440i | −0.780503 | − | 0.625152i | \(-0.785037\pi\) |
−0.196060 | + | 0.980592i | \(0.562815\pi\) | |||||||
\(620\) | 4.44554 | + | 7.69989i | 0.178537 | + | 0.309235i | ||||
\(621\) | 4.10199 | + | 25.6937i | 0.164607 | + | 1.03105i | ||||
\(622\) | 8.92855 | 0.358002 | ||||||||
\(623\) | −8.08192 | − | 25.0106i | −0.323795 | − | 1.00203i | ||||
\(624\) | −6.75412 | + | 2.41703i | −0.270381 | + | 0.0967585i | ||||
\(625\) | −23.2826 | + | 19.5364i | −0.931304 | + | 0.781457i | ||||
\(626\) | 13.1423 | + | 4.78339i | 0.525271 | + | 0.191183i | ||||
\(627\) | 0.283688 | + | 1.66134i | 0.0113294 | + | 0.0663477i | ||||
\(628\) | 2.18176 | − | 12.3734i | 0.0870619 | − | 0.493752i | ||||
\(629\) | 5.75404 | − | 9.96629i | 0.229429 | − | 0.397382i | ||||
\(630\) | −20.4754 | + | 10.5628i | −0.815758 | + | 0.420831i | ||||
\(631\) | 9.27214 | + | 16.0598i | 0.369118 | + | 0.639331i | 0.989428 | − | 0.145026i | \(-0.0463265\pi\) |
−0.620310 | + | 0.784357i | \(0.712993\pi\) | |||||||
\(632\) | −4.21601 | + | 1.53450i | −0.167704 | + | 0.0610392i | ||||
\(633\) | 2.32988 | + | 4.08632i | 0.0926043 | + | 0.162417i | ||||
\(634\) | −16.1837 | + | 13.5797i | −0.642735 | + | 0.539319i | ||||
\(635\) | −27.6559 | − | 10.0659i | −1.09749 | − | 0.399455i | ||||
\(636\) | −9.62892 | − | 16.8880i | −0.381812 | − | 0.669652i | ||||
\(637\) | −7.10429 | + | 28.1077i | −0.281482 | + | 1.11367i | ||||
\(638\) | 0.705950 | + | 1.22274i | 0.0279488 | + | 0.0484088i | ||||
\(639\) | 5.52003 | + | 33.4144i | 0.218369 | + | 1.32185i | ||||
\(640\) | 2.90269 | 0.114739 | ||||||||
\(641\) | −9.42633 | − | 7.90963i | −0.372318 | − | 0.312411i | 0.437360 | − | 0.899286i | \(-0.355914\pi\) |
−0.809678 | + | 0.586875i | \(0.800358\pi\) | |||||||
\(642\) | 4.89279 | + | 28.6534i | 0.193103 | + | 1.13086i | ||||
\(643\) | −29.8571 | + | 25.0531i | −1.17745 | + | 0.987998i | −0.177458 | + | 0.984128i | \(0.556787\pi\) |
−0.999993 | + | 0.00386972i | \(0.998768\pi\) | |||||||
\(644\) | −8.13961 | − | 10.4529i | −0.320746 | − | 0.411901i | ||||
\(645\) | 47.1586 | + | 40.0072i | 1.85687 | + | 1.57528i | ||||
\(646\) | −3.87610 | − | 3.25243i | −0.152503 | − | 0.127965i | ||||
\(647\) | 23.5544 | + | 40.7974i | 0.926019 | + | 1.60391i | 0.789914 | + | 0.613218i | \(0.210125\pi\) |
0.136106 | + | 0.990694i | \(0.456541\pi\) | |||||||
\(648\) | 8.52182 | − | 2.89459i | 0.334769 | − | 0.113710i | ||||
\(649\) | 0.00706512 | − | 0.0122372i | 0.000277330 | − | 0.000480350i | ||||
\(650\) | −2.46367 | + | 13.9721i | −0.0966329 | + | 0.548033i | ||||
\(651\) | −13.7091 | − | 3.01465i | −0.537302 | − | 0.118154i | ||||
\(652\) | −8.79457 | − | 3.20096i | −0.344422 | − | 0.125359i | ||||
\(653\) | 4.56742 | + | 25.9032i | 0.178737 | + | 1.01367i | 0.933741 | + | 0.357949i | \(0.116524\pi\) |
−0.755004 | + | 0.655720i | \(0.772365\pi\) | |||||||
\(654\) | −30.3721 | − | 11.2409i | −1.18764 | − | 0.439553i | ||||
\(655\) | 18.1166 | + | 15.2017i | 0.707876 | + | 0.593978i | ||||
\(656\) | −1.85110 | − | 3.20621i | −0.0722734 | − | 0.125181i | ||||
\(657\) | −34.2561 | − | 12.8893i | −1.33646 | − | 0.502861i | ||||
\(658\) | 2.75218 | − | 1.45768i | 0.107291 | − | 0.0568262i | ||||
\(659\) | −4.00501 | − | 3.36060i | −0.156013 | − | 0.130910i | 0.561440 | − | 0.827518i | \(-0.310248\pi\) |
−0.717453 | + | 0.696607i | \(0.754692\pi\) | |||||||
\(660\) | −1.48943 | − | 0.00805240i | −0.0579760 | − | 0.000313439i | ||||
\(661\) | 31.0713 | − | 26.0719i | 1.20853 | − | 1.01408i | 0.209189 | − | 0.977875i | \(-0.432918\pi\) |
0.999344 | − | 0.0362050i | \(-0.0115269\pi\) | |||||||
\(662\) | −9.12790 | + | 7.65922i | −0.354766 | + | 0.297684i | ||||
\(663\) | −5.57717 | + | 9.54045i | −0.216599 | + | 0.370520i | ||||
\(664\) | −6.78600 | − | 5.69413i | −0.263348 | − | 0.220975i | ||||
\(665\) | 22.2910 | − | 11.8063i | 0.864409 | − | 0.457830i | ||||
\(666\) | −10.9949 | − | 19.5284i | −0.426044 | − | 0.756708i | ||||
\(667\) | −11.9321 | − | 20.6670i | −0.462014 | − | 0.800231i | ||||
\(668\) | −12.8573 | − | 10.7885i | −0.497462 | − | 0.417421i | ||||
\(669\) | 1.45171 | + | 8.50159i | 0.0561265 | + | 0.328690i | ||||
\(670\) | 5.21751 | + | 29.5900i | 0.201570 | + | 1.14316i | ||||
\(671\) | 0.533961 | + | 0.194346i | 0.0206133 | + | 0.00750264i | ||||
\(672\) | −3.09016 | + | 3.38392i | −0.119206 | + | 0.130537i | ||||
\(673\) | 2.47474 | − | 14.0350i | 0.0953943 | − | 0.541008i | −0.899231 | − | 0.437473i | \(-0.855874\pi\) |
0.994626 | − | 0.103535i | \(-0.0330154\pi\) | |||||||
\(674\) | 3.42764 | − | 5.93684i | 0.132028 | − | 0.228679i | ||||
\(675\) | 3.37482 | − | 17.4771i | 0.129897 | − | 0.672693i | ||||
\(676\) | −2.07669 | − | 3.59693i | −0.0798727 | − | 0.138344i | ||||
\(677\) | 3.80927 | + | 3.19636i | 0.146402 | + | 0.122846i | 0.713047 | − | 0.701116i | \(-0.247315\pi\) |
−0.566645 | + | 0.823962i | \(0.691759\pi\) | |||||||
\(678\) | −3.52794 | + | 19.3942i | −0.135490 | + | 0.744831i | ||||
\(679\) | 2.96751 | + | 3.81088i | 0.113883 | + | 0.146248i | ||||
\(680\) | 3.42548 | − | 2.87432i | 0.131361 | − | 0.110225i | ||||
\(681\) | 2.50333 | + | 0.926495i | 0.0959279 | + | 0.0355034i | ||||
\(682\) | −0.695142 | − | 0.583293i | −0.0266184 | − | 0.0223355i | ||||
\(683\) | 19.3156 | 0.739091 | 0.369545 | − | 0.929213i | \(-0.379513\pi\) | ||||
0.369545 | + | 0.929213i | \(0.379513\pi\) | |||||||
\(684\) | −9.29527 | + | 3.26982i | −0.355413 | + | 0.125025i | ||||
\(685\) | 27.2310 | + | 47.1654i | 1.04044 | + | 1.80210i | ||||
\(686\) | 4.39358 | + | 17.9916i | 0.167747 | + | 0.686921i | ||||
\(687\) | 3.57934 | − | 6.12292i | 0.136560 | − | 0.233604i | ||||
\(688\) | 11.5588 | + | 4.20706i | 0.440675 | + | 0.160393i | ||||
\(689\) | 35.6097 | − | 29.8801i | 1.35662 | − | 1.13834i | ||||
\(690\) | 25.1747 | + | 0.136103i | 0.958384 | + | 0.00518137i | ||||
\(691\) | 11.1691 | − | 4.06523i | 0.424893 | − | 0.154649i | −0.120718 | − | 0.992687i | \(-0.538520\pi\) |
0.545611 | + | 0.838038i | \(0.316297\pi\) | |||||||
\(692\) | 3.65645 | + | 6.33316i | 0.138997 | + | 0.240751i | ||||
\(693\) | 1.59502 | − | 1.72779i | 0.0605896 | − | 0.0656332i | ||||
\(694\) | −10.8523 | + | 18.7967i | −0.411946 | + | 0.713512i | ||||
\(695\) | 10.9524 | − | 62.1141i | 0.415448 | − | 2.35612i | ||||
\(696\) | −6.35202 | + | 5.27173i | −0.240773 | + | 0.199824i | ||||
\(697\) | −5.35936 | − | 1.95065i | −0.203000 | − | 0.0738861i | ||||
\(698\) | −13.5620 | + | 11.3799i | −0.513328 | + | 0.430734i | ||||
\(699\) | −6.04689 | + | 33.2417i | −0.228714 | + | 1.25732i | ||||
\(700\) | 2.78682 | + | 8.62420i | 0.105332 | + | 0.325964i | ||||
\(701\) | 1.66339 | 0.0628253 | 0.0314126 | − | 0.999507i | \(-0.489999\pi\) | ||||
0.0314126 | + | 0.999507i | \(0.489999\pi\) | |||||||
\(702\) | 10.4567 | + | 18.8096i | 0.394662 | + | 0.709921i | ||||
\(703\) | 12.2682 | + | 21.2491i | 0.462704 | + | 0.801426i | ||||
\(704\) | −0.278389 | + | 0.101325i | −0.0104922 | + | 0.00381884i | ||||
\(705\) | −1.05916 | + | 5.82255i | −0.0398903 | + | 0.219290i | ||||
\(706\) | −24.5375 | − | 8.93092i | −0.923481 | − | 0.336120i | ||||
\(707\) | 14.1007 | + | 18.1081i | 0.530312 | + | 0.681027i | ||||
\(708\) | 0.0774762 | + | 0.0286743i | 0.00291174 | + | 0.00107765i | ||||
\(709\) | 0.667793 | − | 3.78724i | 0.0250795 | − | 0.142233i | −0.969697 | − | 0.244311i | \(-0.921438\pi\) |
0.994776 | + | 0.102078i | \(0.0325492\pi\) | |||||||
\(710\) | 32.7688 | 1.22979 | ||||||||
\(711\) | 6.60344 | + | 11.7286i | 0.247648 | + | 0.439855i | ||||
\(712\) | 9.93441 | 0.372308 | ||||||||
\(713\) | 11.7494 | + | 9.85895i | 0.440020 | + | 0.369221i | ||||
\(714\) | −0.295874 | + | 7.05334i | −0.0110728 | + | 0.263964i | ||||
\(715\) | −0.618460 | − | 3.50746i | −0.0231291 | − | 0.131172i | ||||
\(716\) | 15.8986 | + | 5.78661i | 0.594157 | + | 0.216256i | ||||
\(717\) | −3.98983 | + | 6.82511i | −0.149003 | + | 0.254888i | ||||
\(718\) | −3.75483 | + | 21.2947i | −0.140129 | + | 0.794710i | ||||
\(719\) | −15.7621 | −0.587827 | −0.293914 | − | 0.955832i | \(-0.594958\pi\) | ||||
−0.293914 | + | 0.955832i | \(0.594958\pi\) | |||||||
\(720\) | −1.41933 | − | 8.59162i | −0.0528952 | − | 0.320191i | ||||
\(721\) | −1.09897 | + | 30.0812i | −0.0409278 | + | 1.12028i | ||||
\(722\) | −7.71657 | + | 2.80860i | −0.287181 | + | 0.104525i | ||||
\(723\) | −8.14945 | − | 47.7252i | −0.303081 | − | 1.77492i | ||||
\(724\) | −9.56661 | − | 3.48196i | −0.355540 | − | 0.129406i | ||||
\(725\) | 2.83495 | + | 16.0778i | 0.105287 | + | 0.597114i | ||||
\(726\) | −17.7954 | + | 6.36825i | −0.660449 | + | 0.236348i | ||||
\(727\) | −2.04939 | + | 11.6227i | −0.0760077 | + | 0.431061i | 0.922929 | + | 0.384969i | \(0.125788\pi\) |
−0.998937 | + | 0.0460921i | \(0.985323\pi\) | |||||||
\(728\) | −9.28339 | − | 5.82172i | −0.344065 | − | 0.215767i | ||||
\(729\) | −12.7345 | − | 23.8082i | −0.471650 | − | 0.881786i | ||||
\(730\) | −17.7068 | + | 30.6690i | −0.655357 | + | 1.13511i | ||||
\(731\) | 17.8065 | − | 6.48105i | 0.658599 | − | 0.239710i | ||||
\(732\) | −0.594563 | + | 3.26851i | −0.0219757 | + | 0.120807i | ||||
\(733\) | 22.6916 | − | 19.0405i | 0.838133 | − | 0.703277i | −0.119010 | − | 0.992893i | \(-0.537972\pi\) |
0.957143 | + | 0.289616i | \(0.0935276\pi\) | |||||||
\(734\) | 10.9711 | − | 9.20588i | 0.404952 | − | 0.339795i | ||||
\(735\) | −32.0259 | − | 14.5912i | −1.18129 | − | 0.538205i | ||||
\(736\) | 4.70539 | − | 1.71262i | 0.173443 | − | 0.0631280i | ||||
\(737\) | −1.53330 | − | 2.65576i | −0.0564800 | − | 0.0978262i | ||||
\(738\) | −8.58486 | + | 7.04679i | −0.316013 | + | 0.259396i | ||||
\(739\) | 12.5873 | − | 21.8019i | 0.463032 | − | 0.801995i | −0.536078 | − | 0.844168i | \(-0.680095\pi\) |
0.999110 | + | 0.0421730i | \(0.0134281\pi\) | |||||||
\(740\) | −20.3762 | + | 7.41632i | −0.749043 | + | 0.272629i | ||||
\(741\) | −11.6704 | − | 20.4686i | −0.428725 | − | 0.751932i | ||||
\(742\) | 11.1684 | − | 27.5151i | 0.410005 | − | 1.01011i | ||||
\(743\) | −2.42758 | − | 13.7675i | −0.0890591 | − | 0.505079i | −0.996407 | − | 0.0846981i | \(-0.973007\pi\) |
0.907348 | − | 0.420381i | \(-0.138104\pi\) | |||||||
\(744\) | 2.67748 | − | 4.58016i | 0.0981611 | − | 0.167917i | ||||
\(745\) | 6.31360 | − | 35.8062i | 0.231312 | − | 1.31184i | ||||
\(746\) | −8.06571 | + | 13.9702i | −0.295307 | + | 0.511486i | ||||
\(747\) | −13.5358 | + | 22.8700i | −0.495249 | + | 0.836770i | ||||
\(748\) | −0.228193 | + | 0.395242i | −0.00834357 | + | 0.0144515i | ||||
\(749\) | −29.7640 | + | 32.9494i | −1.08755 | + | 1.20395i | ||||
\(750\) | 7.42335 | + | 2.74742i | 0.271062 | + | 0.100322i | ||||
\(751\) | −1.10647 | − | 6.27512i | −0.0403758 | − | 0.228982i | 0.957942 | − | 0.286962i | \(-0.0926453\pi\) |
−0.998318 | + | 0.0579795i | \(0.981534\pi\) | |||||||
\(752\) | 0.204405 | + | 1.15924i | 0.00745388 | + | 0.0422731i | ||||
\(753\) | 15.0636 | + | 12.7793i | 0.548949 | + | 0.465703i | ||||
\(754\) | −15.1205 | − | 12.6876i | −0.550657 | − | 0.462056i | ||||
\(755\) | 54.2986 | 1.97613 | ||||||||
\(756\) | 11.5270 | + | 7.49189i | 0.419233 | + | 0.272477i | ||||
\(757\) | 40.1257 | 1.45839 | 0.729196 | − | 0.684305i | \(-0.239894\pi\) | ||||
0.729196 | + | 0.684305i | \(0.239894\pi\) | |||||||
\(758\) | 6.05053 | + | 5.07700i | 0.219765 | + | 0.184405i | ||||
\(759\) | −2.41919 | + | 0.865729i | −0.0878109 | + | 0.0314240i | ||||
\(760\) | 1.65556 | + | 9.38915i | 0.0600535 | + | 0.340580i | ||||
\(761\) | −3.17579 | − | 18.0108i | −0.115122 | − | 0.652890i | −0.986690 | − | 0.162615i | \(-0.948007\pi\) |
0.871568 | − | 0.490276i | \(-0.163104\pi\) | |||||||
\(762\) | 2.95599 | + | 17.3110i | 0.107084 | + | 0.627111i | ||||
\(763\) | −15.2112 | − | 47.0731i | −0.550682 | − | 1.70416i | ||||
\(764\) | 8.39998 | − | 14.5492i | 0.303901 | − | 0.526371i | ||||
\(765\) | −10.1826 | − | 8.73356i | −0.368153 | − | 0.315762i | ||||
\(766\) | −3.90031 | + | 6.75554i | −0.140924 | + | 0.244088i | ||||
\(767\) | −0.0343028 | + | 0.194541i | −0.00123860 | + | 0.00702445i | ||||
\(768\) | −0.857903 | − | 1.50466i | −0.0309569 | − | 0.0542947i | ||||
\(769\) | 1.55869 | + | 8.83975i | 0.0562077 | + | 0.318770i | 0.999928 | − | 0.0119740i | \(-0.00381155\pi\) |
−0.943721 | + | 0.330744i | \(0.892700\pi\) | |||||||
\(770\) | −1.39785 | − | 1.79512i | −0.0503750 | − | 0.0646916i | ||||
\(771\) | −3.34770 | + | 5.72666i | −0.120565 | + | 0.206241i | ||||
\(772\) | −7.32418 | + | 2.66579i | −0.263603 | + | 0.0959437i | ||||
\(773\) | 6.03078 | − | 10.4456i | 0.216912 | − | 0.375703i | −0.736950 | − | 0.675947i | \(-0.763735\pi\) |
0.953862 | + | 0.300244i | \(0.0970682\pi\) | |||||||
\(774\) | 6.80051 | − | 36.2699i | 0.244439 | − | 1.30369i | ||||
\(775\) | −5.24639 | − | 9.08701i | −0.188456 | − | 0.326415i | ||||
\(776\) | −1.71548 | + | 0.624382i | −0.0615820 | + | 0.0224140i | ||||
\(777\) | 13.0463 | − | 31.6496i | 0.468035 | − | 1.13542i | ||||
\(778\) | −12.3052 | + | 10.3253i | −0.441162 | + | 0.370178i | ||||
\(779\) | 9.31513 | − | 7.81632i | 0.333749 | − | 0.280049i | ||||
\(780\) | 19.6051 | − | 7.01588i | 0.701975 | − | 0.251209i | ||||
\(781\) | −3.14276 | + | 1.14387i | −0.112457 | + | 0.0409309i | ||||
\(782\) | 3.85697 | − | 6.68047i | 0.137925 | − | 0.238893i | ||||
\(783\) | 18.7096 | + | 16.2235i | 0.668628 | + | 0.579782i | ||||
\(784\) | −6.98134 | − | 0.510786i | −0.249334 | − | 0.0182424i | ||||
\(785\) | −6.33298 | + | 35.9161i | −0.226034 | + | 1.28190i | ||||
\(786\) | 2.52560 | − | 13.8840i | 0.0900850 | − | 0.495226i | ||||
\(787\) | 3.90434 | + | 22.1426i | 0.139175 | + | 0.789299i | 0.971861 | + | 0.235554i | \(0.0756906\pi\) |
−0.832686 | + | 0.553745i | \(0.813198\pi\) | |||||||
\(788\) | −10.8514 | − | 3.94960i | −0.386567 | − | 0.140699i | ||||
\(789\) | 37.4779 | − | 31.1039i | 1.33425 | − | 1.10733i | ||||
\(790\) | 12.2378 | − | 4.45418i | 0.435400 | − | 0.158473i | ||||
\(791\) | −26.6095 | + | 14.0936i | −0.946124 | + | 0.501110i | ||||
\(792\) | 0.436034 | + | 0.774453i | 0.0154938 | + | 0.0275190i | ||||
\(793\) | −7.94388 | −0.282096 | ||||||||
\(794\) | 3.54503 | − | 20.1048i | 0.125808 | − | 0.713494i | ||||
\(795\) | 27.9498 | + | 49.0206i | 0.991276 | + | 1.73858i | ||||
\(796\) | 21.6805 | + | 7.89104i | 0.768443 | + | 0.279690i | ||||
\(797\) | −6.54790 | − | 37.1350i | −0.231939 | − | 1.31539i | −0.848966 | − | 0.528448i | \(-0.822774\pi\) |
0.617027 | − | 0.786942i | \(-0.288337\pi\) | |||||||
\(798\) | −12.7082 | − | 8.06553i | −0.449867 | − | 0.285517i | ||||
\(799\) | 1.38913 | + | 1.16562i | 0.0491438 | + | 0.0412365i | ||||
\(800\) | −3.42560 | −0.121113 | ||||||||
\(801\) | −4.85762 | − | 29.4047i | −0.171636 | − | 1.03896i | ||||
\(802\) | −2.50927 | −0.0886054 | ||||||||
\(803\) | 0.627632 | − | 3.55948i | 0.0221486 | − | 0.125611i | ||||
\(804\) | 13.7964 | − | 11.4500i | 0.486562 | − | 0.403812i | ||||
\(805\) | 23.6268 | + | 30.3415i | 0.832734 | + | 1.06940i | ||||
\(806\) | 11.9210 | + | 4.33891i | 0.419901 | + | 0.152831i | ||||
\(807\) | 21.0201 | − | 7.52225i | 0.739943 | − | 0.264796i | ||||
\(808\) | −8.15141 | + | 2.96687i | −0.286766 | + | 0.104374i | ||||
\(809\) | −10.8527 | − | 18.7975i | −0.381562 | − | 0.660884i | 0.609724 | − | 0.792614i | \(-0.291280\pi\) |
−0.991286 | + | 0.131730i | \(0.957947\pi\) | |||||||
\(810\) | −24.7362 | + | 8.40208i | −0.869141 | + | 0.295219i | ||||
\(811\) | 49.8708 | 1.75120 | 0.875600 | − | 0.483037i | \(-0.160466\pi\) | ||||
0.875600 | + | 0.483037i | \(0.160466\pi\) | |||||||
\(812\) | −12.3294 | − | 2.64146i | −0.432678 | − | 0.0926971i | ||||
\(813\) | −8.32639 | − | 7.06373i | −0.292019 | − | 0.247736i | ||||
\(814\) | 1.69534 | − | 1.42256i | 0.0594215 | − | 0.0498606i | ||||
\(815\) | 25.5279 | + | 9.29139i | 0.894203 | + | 0.325463i | ||||
\(816\) | −2.50237 | − | 0.926139i | −0.0876004 | − | 0.0324213i | ||||
\(817\) | −7.01571 | + | 39.7881i | −0.245449 | + | 1.39201i | ||||
\(818\) | −2.87158 | + | 4.97373i | −0.100403 | + | 0.173902i | ||||
\(819\) | −12.6923 | + | 30.3244i | −0.443505 | + | 1.05962i | ||||
\(820\) | 5.37318 | + | 9.30661i | 0.187639 | + | 0.325001i | ||||
\(821\) | −20.3318 | + | 7.40015i | −0.709583 | + | 0.258267i | −0.671497 | − | 0.741007i | \(-0.734348\pi\) |
−0.0380861 | + | 0.999274i | \(0.512126\pi\) | |||||||
\(822\) | 16.4008 | − | 28.0556i | 0.572043 | − | 0.978552i | ||||
\(823\) | 37.2136 | − | 31.2259i | 1.29719 | − | 1.08847i | 0.306562 | − | 0.951851i | \(-0.400821\pi\) |
0.990624 | − | 0.136617i | \(-0.0436231\pi\) | |||||||
\(824\) | −10.6911 | − | 3.89124i | −0.372442 | − | 0.135558i | ||||
\(825\) | 1.75775 | + | 0.00950302i | 0.0611970 | + | 0.000330853i | ||||
\(826\) | 0.0388022 | + | 0.120079i | 0.00135010 | + | 0.00417807i | ||||
\(827\) | 18.1270 | + | 31.3970i | 0.630339 | + | 1.09178i | 0.987482 | + | 0.157730i | \(0.0504175\pi\) |
−0.357143 | + | 0.934050i | \(0.616249\pi\) | |||||||
\(828\) | −7.36995 | − | 13.0900i | −0.256123 | − | 0.454908i | ||||
\(829\) | 2.93822 | 0.102049 | 0.0510243 | − | 0.998697i | \(-0.483751\pi\) | ||||
0.0510243 | + | 0.998697i | \(0.483751\pi\) | |||||||
\(830\) | 19.6976 | + | 16.5283i | 0.683715 | + | 0.573705i | ||||
\(831\) | −12.6727 | + | 10.5174i | −0.439610 | + | 0.364845i | ||||
\(832\) | 3.17270 | − | 2.66221i | 0.109994 | − | 0.0922955i | ||||
\(833\) | −8.74451 | + | 6.31032i | −0.302979 | + | 0.218640i | ||||
\(834\) | −35.4350 | + | 12.6808i | −1.22701 | + | 0.439099i | ||||
\(835\) | 37.3206 | + | 31.3157i | 1.29153 | + | 1.08373i | ||||
\(836\) | −0.486531 | − | 0.842696i | −0.0168270 | − | 0.0291452i | ||||
\(837\) | −14.8660 | − | 5.68546i | −0.513842 | − | 0.196518i | ||||
\(838\) | −5.77420 | + | 10.0012i | −0.199467 | + | 0.345486i | ||||
\(839\) | −1.43777 | + | 8.15399i | −0.0496373 | + | 0.281507i | −0.999516 | − | 0.0311119i | \(-0.990095\pi\) |
0.949879 | + | 0.312619i | \(0.101206\pi\) | |||||||
\(840\) | 8.96978 | − | 9.82246i | 0.309487 | − | 0.338907i | ||||
\(841\) | 5.90775 | + | 2.15025i | 0.203716 | + | 0.0741464i | ||||
\(842\) | 4.82185 | + | 27.3461i | 0.166172 | + | 0.942408i | ||||
\(843\) | 42.7744 | − | 35.4997i | 1.47323 | − | 1.22267i | ||||
\(844\) | −2.08041 | − | 1.74567i | −0.0716106 | − | 0.0600884i | ||||
\(845\) | 6.02799 | + | 10.4408i | 0.207369 | + | 0.359174i | ||||
\(846\) | 3.33126 | − | 1.17185i | 0.114531 | − | 0.0402889i | ||||
\(847\) | −24.4594 | − | 15.3387i | −0.840434 | − | 0.527045i | ||||
\(848\) | 8.59792 | + | 7.21451i | 0.295254 | + | 0.247747i | ||||
\(849\) | −18.1454 | − | 31.8248i | −0.622747 | − | 1.09222i | ||||
\(850\) | −4.04257 | + | 3.39212i | −0.138659 | + | 0.116349i | ||||
\(851\) | −28.6550 | + | 24.0444i | −0.982279 | + | 0.824230i | ||||
\(852\) | −9.68496 | − | 16.9863i | −0.331801 | − | 0.581940i | ||||
\(853\) | −18.9419 | − | 15.8941i | −0.648559 | − | 0.544205i | 0.258075 | − | 0.966125i | \(-0.416912\pi\) |
−0.906633 | + | 0.421920i | \(0.861356\pi\) | |||||||
\(854\) | −4.48449 | + | 2.37519i | −0.153456 | + | 0.0812773i | ||||
\(855\) | 26.9813 | − | 9.49127i | 0.922740 | − | 0.324595i | ||||
\(856\) | −8.39124 | − | 14.5341i | −0.286807 | − | 0.496764i | ||||
\(857\) | −29.9900 | − | 25.1646i | −1.02444 | − | 0.859606i | −0.0342596 | − | 0.999413i | \(-0.510907\pi\) |
−0.990179 | + | 0.139807i | \(0.955352\pi\) | |||||||
\(858\) | −1.63536 | + | 1.35724i | −0.0558304 | + | 0.0463353i | ||||
\(859\) | 0.749420 | + | 4.25017i | 0.0255699 | + | 0.145014i | 0.994920 | − | 0.100670i | \(-0.0320986\pi\) |
−0.969350 | + | 0.245684i | \(0.920987\pi\) | |||||||
\(860\) | −33.5516 | − | 12.2118i | −1.14410 | − | 0.416419i | ||||
\(861\) | −16.5697 | − | 3.64371i | −0.564695 | − | 0.124177i | ||||
\(862\) | 2.40485 | − | 13.6386i | 0.0819095 | − | 0.464532i | ||||
\(863\) | 1.63200 | − | 2.82670i | 0.0555538 | − | 0.0962220i | −0.836911 | − | 0.547339i | \(-0.815641\pi\) |
0.892465 | + | 0.451117i | \(0.148974\pi\) | |||||||
\(864\) | −4.03413 | + | 3.27503i | −0.137244 | + | 0.111419i | ||||
\(865\) | −10.6135 | − | 18.3832i | −0.360871 | − | 0.625047i | ||||
\(866\) | 23.1946 | + | 19.4626i | 0.788184 | + | 0.661365i | ||||
\(867\) | 23.8530 | − | 8.53603i | 0.810091 | − | 0.289899i | ||||
\(868\) | 8.02700 | − | 1.11494i | 0.272454 | − | 0.0378435i | ||||
\(869\) | −1.01820 | + | 0.854375i | −0.0345402 | + | 0.0289827i | ||||
\(870\) | 18.4379 | − | 15.3022i | 0.625105 | − | 0.518792i | ||||
\(871\) | 32.8414 | + | 27.5572i | 1.11279 | + | 0.933740i | ||||
\(872\) | 18.6978 | 0.633188 | ||||||||
\(873\) | 2.68691 | + | 4.77230i | 0.0909382 | + | 0.161518i | ||||
\(874\) | 8.22345 | + | 14.2434i | 0.278162 | + | 0.481791i | ||||
\(875\) | 3.71782 | + | 11.5053i | 0.125685 | + | 0.388950i | ||||
\(876\) | 21.1312 | + | 0.114243i | 0.713956 | + | 0.00385990i | ||||
\(877\) | −48.0465 | − | 17.4875i | −1.62241 | − | 0.590511i | −0.638574 | − | 0.769560i | \(-0.720476\pi\) |
−0.983840 | + | 0.179050i | \(0.942698\pi\) | |||||||
\(878\) | 2.65341 | − | 2.22648i | 0.0895484 | − | 0.0751400i | ||||
\(879\) | −6.97611 | + | 11.9335i | −0.235298 | + | 0.402507i | ||||
\(880\) | 0.808076 | − | 0.294115i | 0.0272402 | − | 0.00991463i | ||||
\(881\) | −26.4607 | − | 45.8313i | −0.891484 | − | 1.54409i | −0.838097 | − | 0.545521i | \(-0.816332\pi\) |
−0.0533863 | − | 0.998574i | \(-0.517001\pi\) | |||||||
\(882\) | 1.90179 | + | 20.9137i | 0.0640368 | + | 0.704201i | ||||
\(883\) | −11.5763 | + | 20.0507i | −0.389573 | + | 0.674761i | −0.992392 | − | 0.123117i | \(-0.960711\pi\) |
0.602819 | + | 0.797878i | \(0.294044\pi\) | |||||||
\(884\) | 1.10793 | − | 6.28338i | 0.0372637 | − | 0.211333i | ||||
\(885\) | −0.224889 | − | 0.0832327i | −0.00755957 | − | 0.00279784i | ||||
\(886\) | −17.3888 | − | 6.32901i | −0.584188 | − | 0.212627i | ||||
\(887\) | −5.05544 | + | 4.24202i | −0.169745 | + | 0.142433i | −0.723703 | − | 0.690112i | \(-0.757561\pi\) |
0.553958 | + | 0.832545i | \(0.313117\pi\) | |||||||
\(888\) | 9.86665 | + | 8.37042i | 0.331103 | + | 0.280893i | ||||
\(889\) | −17.9820 | + | 19.9065i | −0.603097 | + | 0.667641i | ||||
\(890\) | −28.8365 | −0.966601 | ||||||||
\(891\) | 2.07908 | − | 1.66929i | 0.0696519 | − | 0.0559235i | ||||
\(892\) | −2.48972 | − | 4.31232i | −0.0833620 | − | 0.144387i | ||||
\(893\) | −3.63313 | + | 1.32235i | −0.121578 | + | 0.0442508i | ||||
\(894\) | −20.4268 | + | 7.30993i | −0.683174 | + | 0.244481i | ||||
\(895\) | −46.1486 | − | 16.7967i | −1.54258 | − | 0.561452i | ||||
\(896\) | 0.995066 | − | 2.45150i | 0.0332428 | − | 0.0818988i | ||||
\(897\) | 27.6413 | − | 22.9403i | 0.922916 | − | 0.765954i | ||||
\(898\) | 3.61043 | − | 20.4758i | 0.120482 | − | 0.683285i | ||||
\(899\) | 14.5980 | 0.486869 | ||||||||
\(900\) | 1.67501 | + | 10.1394i | 0.0558338 | + | 0.337979i | ||||
\(901\) | 17.2904 | 0.576028 | ||||||||
\(902\) | −0.840196 | − | 0.705008i | −0.0279755 | − | 0.0234742i | ||||
\(903\) | 49.9549 | − | 26.1136i | 1.66240 | − | 0.869005i | ||||
\(904\) | −1.97629 | − | 11.2081i | −0.0657305 | − | 0.372776i | ||||
\(905\) | 27.7689 | + | 10.1071i | 0.923069 | + | 0.335970i | ||||
\(906\) | −16.0482 | − | 28.1466i | −0.533166 | − | 0.935109i | ||||
\(907\) | 9.66954 | − | 54.8387i | 0.321072 | − | 1.82089i | −0.214880 | − | 0.976641i | \(-0.568936\pi\) |
0.535952 | − | 0.844249i | \(-0.319953\pi\) | |||||||
\(908\) | −1.54111 | −0.0511435 | ||||||||
\(909\) | 12.7674 | + | 22.6765i | 0.423467 | + | 0.752133i | ||||
\(910\) | 26.9468 | + | 16.8986i | 0.893277 | + | 0.560184i | ||||
\(911\) | −4.19059 | + | 1.52525i | −0.138840 | + | 0.0505338i | −0.410506 | − | 0.911858i | \(-0.634648\pi\) |
0.271665 | + | 0.962392i | \(0.412426\pi\) | |||||||
\(912\) | 4.37772 | − | 3.63320i | 0.144961 | − | 0.120307i | ||||
\(913\) | −2.46610 | − | 0.897588i | −0.0816161 | − | 0.0297058i | ||||
\(914\) | −0.192925 | − | 1.09413i | −0.00638140 | − | 0.0361907i | ||||
\(915\) | 1.72583 | − | 9.48746i | 0.0570543 | − | 0.313646i | ||||
\(916\) | −0.711052 | + | 4.03258i | −0.0234938 | + | 0.133240i | ||||
\(917\) | 19.0493 | − | 10.0894i | 0.629063 | − | 0.333180i | ||||
\(918\) | −1.51768 | + | 7.85957i | −0.0500909 | + | 0.259405i | ||||
\(919\) | −23.6375 | + | 40.9413i | −0.779728 | + | 1.35053i | 0.152370 | + | 0.988324i | \(0.451310\pi\) |
−0.932098 | + | 0.362206i | \(0.882024\pi\) | |||||||
\(920\) | −13.6583 | + | 4.97120i | −0.450300 | + | 0.163896i | ||||
\(921\) | 55.6984 | − | 19.9322i | 1.83532 | − | 0.656788i | ||||
\(922\) | 21.2351 | − | 17.8183i | 0.699340 | − | 0.586816i | ||||
\(923\) | 35.8169 | − | 30.0540i | 1.17893 | − | 0.989239i | ||||
\(924\) | −0.517390 | + | 1.25516i | −0.0170209 | + | 0.0412916i | ||||
\(925\) | 24.0469 | − | 8.75235i | 0.790657 | − | 0.287775i | ||||
\(926\) | 8.94244 | + | 15.4888i | 0.293867 | + | 0.508992i | ||||
\(927\) | −6.29000 | + | 33.5471i | −0.206591 | + | 1.10183i | ||||
\(928\) | 2.38291 | − | 4.12733i | 0.0782230 | − | 0.135486i | ||||
\(929\) | −44.5485 | + | 16.2143i | −1.46159 | + | 0.531974i | −0.945802 | − | 0.324743i | \(-0.894722\pi\) |
−0.515786 | + | 0.856718i | \(0.672500\pi\) | |||||||
\(930\) | −7.77188 | + | 13.2948i | −0.254850 | + | 0.435953i | ||||
\(931\) | −2.32963 | − | 22.8734i | −0.0763504 | − | 0.749647i | ||||
\(932\) | −3.38737 | − | 19.2107i | −0.110957 | − | 0.629268i | ||||
\(933\) | 7.65983 | + | 13.4344i | 0.250772 | + | 0.439824i | ||||
\(934\) | 3.12486 | − | 17.7220i | 0.102249 | − | 0.579880i | ||||
\(935\) | 0.662373 | − | 1.14726i | 0.0216619 | − | 0.0375196i | ||||
\(936\) | −9.43119 | − | 8.08908i | −0.308268 | − | 0.264400i | ||||
\(937\) | −17.0443 | + | 29.5215i | −0.556812 | + | 0.964426i | 0.440949 | + | 0.897532i | \(0.354642\pi\) |
−0.997760 | + | 0.0668936i | \(0.978691\pi\) | |||||||
\(938\) | 26.7792 | + | 5.73718i | 0.874370 | + | 0.187326i | ||||
\(939\) | 4.07741 | + | 23.8783i | 0.133061 | + | 0.779240i | ||||
\(940\) | −0.593324 | − | 3.36491i | −0.0193521 | − | 0.109751i | ||||
\(941\) | −1.72386 | − | 9.77652i | −0.0561963 | − | 0.318705i | 0.943732 | − | 0.330712i | \(-0.107289\pi\) |
−0.999928 | + | 0.0120072i | \(0.996178\pi\) | |||||||
\(942\) | 20.4895 | − | 7.33237i | 0.667584 | − | 0.238901i | ||||
\(943\) | 14.2012 | + | 11.9162i | 0.462454 | + | 0.388045i | ||||
\(944\) | −0.0476962 | −0.00155238 | ||||||||
\(945\) | −33.4593 | − | 21.7466i | −1.08843 | − | 0.707417i | ||||
\(946\) | 3.64412 | 0.118481 | ||||||||
\(947\) | 12.8178 | + | 10.7554i | 0.416523 | + | 0.349504i | 0.826839 | − | 0.562439i | \(-0.190137\pi\) |
−0.410316 | + | 0.911944i | \(0.634581\pi\) | |||||||
\(948\) | −5.92583 | − | 5.02720i | −0.192462 | − | 0.163276i | ||||
\(949\) | 8.77433 | + | 49.7617i | 0.284827 | + | 1.61533i | ||||
\(950\) | −1.95381 | − | 11.0806i | −0.0633898 | − | 0.359501i | ||||
\(951\) | −34.3169 | − | 12.7008i | −1.11280 | − | 0.411853i | ||||
\(952\) | −1.25325 | − | 3.87836i | −0.0406182 | − | 0.125699i | ||||
\(953\) | −13.3831 | + | 23.1802i | −0.433520 | + | 0.750879i | −0.997174 | − | 0.0751323i | \(-0.976062\pi\) |
0.563653 | + | 0.826011i | \(0.309395\pi\) | |||||||
\(954\) | 17.1500 | − | 28.9765i | 0.555251 | − | 0.938149i | ||||
\(955\) | −24.3825 | + | 42.2318i | −0.789000 | + | 1.36659i | ||||
\(956\) | 0.792597 | − | 4.49504i | 0.0256344 | − | 0.145380i | ||||
\(957\) | −1.23417 | + | 2.11121i | −0.0398952 | + | 0.0682457i | ||||
\(958\) | −0.831982 | − | 4.71840i | −0.0268801 | − | 0.152445i | ||||
\(959\) | 49.1691 | − | 6.82953i | 1.58775 | − | 0.220537i | ||||
\(960\) | 2.49023 | + | 4.36756i | 0.0803717 | + | 0.140962i | ||||
\(961\) | 20.3140 | − | 7.39370i | 0.655291 | − | 0.238507i | ||||
\(962\) | −15.4697 | + | 26.7943i | −0.498762 | + | 0.863882i | ||||
\(963\) | −38.9160 | + | 31.9438i | −1.25405 | + | 1.02937i | ||||
\(964\) | 13.9765 | + | 24.2080i | 0.450152 | + | 0.779687i | ||||
\(965\) | 21.2598 | − | 7.73794i | 0.684378 | − | 0.249093i | ||||
\(966\) | 8.74504 | − | 21.2149i | 0.281367 | − | 0.682579i | ||||
\(967\) | −3.99514 | + | 3.35232i | −0.128475 | + | 0.107803i | −0.704761 | − | 0.709445i | \(-0.748946\pi\) |
0.576286 | + | 0.817248i | \(0.304501\pi\) | |||||||
\(968\) | 8.35926 | − | 7.01425i | 0.268677 | − | 0.225446i | ||||
\(969\) | 1.56849 | − | 8.62249i | 0.0503871 | − | 0.276994i | ||||
\(970\) | 4.97949 | − | 1.81239i | 0.159882 | − | 0.0581922i | ||||
\(971\) | 26.2108 | − | 45.3985i | 0.841146 | − | 1.45691i | −0.0477809 | − | 0.998858i | \(-0.515215\pi\) |
0.888927 | − | 0.458049i | \(-0.151452\pi\) | |||||||
\(972\) | 11.6663 | + | 10.3392i | 0.374196 | + | 0.331629i | ||||
\(973\) | −48.7046 | − | 30.5432i | −1.56140 | − | 0.979170i | ||||
\(974\) | 0.689481 | − | 3.91024i | 0.0220924 | − | 0.125292i | ||||
\(975\) | −23.1369 | + | 8.27977i | −0.740974 | + | 0.265165i | ||||
\(976\) | −0.333064 | − | 1.88890i | −0.0106611 | − | 0.0604623i | ||||
\(977\) | −24.0996 | − | 8.77155i | −0.771016 | − | 0.280627i | −0.0735945 | − | 0.997288i | \(-0.523447\pi\) |
−0.697421 | + | 0.716661i | \(0.745669\pi\) | |||||||
\(978\) | −2.72853 | − | 15.9789i | −0.0872488 | − | 0.510950i | ||||
\(979\) | 2.76563 | − | 1.00661i | 0.0883898 | − | 0.0321713i | ||||
\(980\) | 20.2647 | + | 1.48265i | 0.647331 | + | 0.0473616i | ||||
\(981\) | −9.14266 | − | 55.3433i | −0.291903 | − | 1.76698i | ||||
\(982\) | 18.1865 | 0.580355 | ||||||||
\(983\) | −5.24707 | + | 29.7576i | −0.167356 | + | 0.949120i | 0.779247 | + | 0.626717i | \(0.215602\pi\) |
−0.946602 | + | 0.322403i | \(0.895509\pi\) | |||||||
\(984\) | 3.23618 | − | 5.53590i | 0.103166 | − | 0.176478i | ||||
\(985\) | 31.4984 | + | 11.4645i | 1.00362 | + | 0.365288i | ||||
\(986\) | −1.27490 | − | 7.23030i | −0.0406010 | − | 0.230260i | ||||
\(987\) | 4.55441 | + | 2.89054i | 0.144968 | + | 0.0920070i | ||||
\(988\) | 10.4209 | + | 8.74413i | 0.331531 | + | 0.278188i | ||||
\(989\) | −61.5938 | −1.95857 | ||||||||
\(990\) | −1.26567 | − | 2.24800i | −0.0402257 | − | 0.0714460i | ||||
\(991\) | −37.1393 | −1.17977 | −0.589884 | − | 0.807488i | \(-0.700827\pi\) | ||||
−0.589884 | + | 0.807488i | \(0.700827\pi\) | |||||||
\(992\) | −0.531893 | + | 3.01651i | −0.0168876 | + | 0.0957744i | ||||
\(993\) | −19.3554 | − | 7.16352i | −0.614224 | − | 0.227327i | ||||
\(994\) | 11.2334 | − | 27.6752i | 0.356302 | − | 0.877805i | ||||
\(995\) | −62.9316 | − | 22.9052i | −1.99507 | − | 0.726145i | ||||
\(996\) | 2.74600 | − | 15.0956i | 0.0870102 | − | 0.478323i | ||||
\(997\) | 25.3018 | − | 9.20910i | 0.801316 | − | 0.291655i | 0.0912840 | − | 0.995825i | \(-0.470903\pi\) |
0.710032 | + | 0.704170i | \(0.248681\pi\) | |||||||
\(998\) | 9.64493 | + | 16.7055i | 0.305305 | + | 0.528804i | ||||
\(999\) | 19.9510 | − | 33.2970i | 0.631221 | − | 1.05347i |
(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 | 378.2.v.a.79.8 | yes | 72 | |
7.4 | even | 3 | 378.2.w.b.25.1 | yes | 72 | ||
27.13 | even | 9 | 378.2.w.b.121.1 | yes | 72 | ||
189.67 | even | 9 | inner | 378.2.v.a.67.8 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.v.a.67.8 | ✓ | 72 | 189.67 | even | 9 | inner | |
378.2.v.a.79.8 | yes | 72 | 1.1 | even | 1 | trivial | |
378.2.w.b.25.1 | yes | 72 | 7.4 | even | 3 | ||
378.2.w.b.121.1 | yes | 72 | 27.13 | even | 9 |