Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 10.19 | ||
Character | \(\chi\) | \(=\) | 483.10 |
Dual form | 483.2.bf.a.145.19 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0597980 | − | 0.172775i | 0.0422836 | − | 0.122170i | −0.921883 | − | 0.387469i | \(-0.873349\pi\) |
0.964166 | + | 0.265299i | \(0.0854706\pi\) | |||||||
\(3\) | −0.458227 | − | 0.888835i | −0.264557 | − | 0.513169i | ||||
\(4\) | 1.54583 | + | 1.21565i | 0.772915 | + | 0.607827i | ||||
\(5\) | 0.371368 | − | 0.0354614i | 0.166081 | − | 0.0158588i | −0.0116843 | − | 0.999932i | \(-0.503719\pi\) |
0.177765 | + | 0.984073i | \(0.443113\pi\) | |||||||
\(6\) | −0.180970 | + | 0.0260195i | −0.0738806 | + | 0.0106224i | ||||
\(7\) | 1.77822 | + | 1.95906i | 0.672105 | + | 0.740456i | ||||
\(8\) | 0.610086 | − | 0.392079i | 0.215698 | − | 0.138621i | ||||
\(9\) | −0.580057 | + | 0.814576i | −0.193352 | + | 0.271525i | ||||
\(10\) | 0.0160803 | − | 0.0662837i | 0.00508502 | − | 0.0209608i | ||||
\(11\) | −1.61290 | + | 0.558230i | −0.486308 | + | 0.168313i | −0.559209 | − | 0.829026i | \(-0.688895\pi\) |
0.0729018 | + | 0.997339i | \(0.476774\pi\) | |||||||
\(12\) | 0.372176 | − | 1.93103i | 0.107438 | − | 0.557442i | ||||
\(13\) | 0.569775 | + | 1.94048i | 0.158027 | + | 0.538191i | 0.999999 | − | 0.00133003i | \(-0.000423360\pi\) |
−0.841972 | + | 0.539521i | \(0.818605\pi\) | |||||||
\(14\) | 0.444811 | − | 0.190084i | 0.118881 | − | 0.0508022i | ||||
\(15\) | −0.201690 | − | 0.313836i | −0.0520762 | − | 0.0810321i | ||||
\(16\) | 0.896015 | + | 3.69342i | 0.224004 | + | 0.923356i | ||||
\(17\) | 2.98733 | + | 1.19595i | 0.724533 | + | 0.290059i | 0.704465 | − | 0.709739i | \(-0.251187\pi\) |
0.0200689 | + | 0.999799i | \(0.493611\pi\) | |||||||
\(18\) | 0.106052 | + | 0.148929i | 0.0249967 | + | 0.0351030i | ||||
\(19\) | 2.99121 | − | 1.19750i | 0.686231 | − | 0.274726i | −0.00223115 | − | 0.999998i | \(-0.500710\pi\) |
0.688463 | + | 0.725272i | \(0.258286\pi\) | |||||||
\(20\) | 0.617181 | + | 0.396638i | 0.138006 | + | 0.0886910i | ||||
\(21\) | 0.926455 | − | 2.47824i | 0.202169 | − | 0.540797i | ||||
\(22\) | 0.312050i | 0.0665293i | ||||||||
\(23\) | −4.78734 | + | 0.285253i | −0.998230 | + | 0.0594793i | ||||
\(24\) | −0.628051 | − | 0.362606i | −0.128200 | − | 0.0740166i | ||||
\(25\) | −4.77299 | + | 0.919918i | −0.954597 | + | 0.183984i | ||||
\(26\) | 0.369338 | + | 0.0175937i | 0.0724331 | + | 0.00345041i | ||||
\(27\) | 0.989821 | + | 0.142315i | 0.190491 | + | 0.0273885i | ||||
\(28\) | 0.367287 | + | 5.19008i | 0.0694108 | + | 0.980834i | ||||
\(29\) | −0.973820 | − | 6.77307i | −0.180834 | − | 1.25773i | −0.854797 | − | 0.518962i | \(-0.826319\pi\) |
0.673963 | − | 0.738765i | \(-0.264591\pi\) | |||||||
\(30\) | −0.0662837 | + | 0.0160803i | −0.0121017 | + | 0.00293584i | ||||
\(31\) | 5.44621 | − | 0.259435i | 0.978168 | − | 0.0465959i | 0.447596 | − | 0.894236i | \(-0.352280\pi\) |
0.530572 | + | 0.847640i | \(0.321977\pi\) | |||||||
\(32\) | 2.13557 | + | 0.203922i | 0.377518 | + | 0.0360486i | ||||
\(33\) | 1.23525 | + | 1.17781i | 0.215029 | + | 0.205030i | ||||
\(34\) | 0.385266 | − | 0.444621i | 0.0660726 | − | 0.0762518i | ||||
\(35\) | 0.729846 | + | 0.664475i | 0.123367 | + | 0.112317i | ||||
\(36\) | −1.88691 | + | 0.554048i | −0.314485 | + | 0.0923413i | ||||
\(37\) | 0.565141 | + | 0.402435i | 0.0929086 | + | 0.0661599i | 0.625567 | − | 0.780170i | \(-0.284868\pi\) |
−0.532659 | + | 0.846330i | \(0.678807\pi\) | |||||||
\(38\) | −0.0280297 | − | 0.588415i | −0.00454701 | − | 0.0954536i | ||||
\(39\) | 1.46368 | − | 1.39561i | 0.234376 | − | 0.223477i | ||||
\(40\) | 0.212663 | − | 0.167240i | 0.0336250 | − | 0.0264430i | ||||
\(41\) | 8.65337 | + | 3.95186i | 1.35143 | + | 0.617177i | 0.953820 | − | 0.300377i | \(-0.0971126\pi\) |
0.397609 | + | 0.917555i | \(0.369840\pi\) | |||||||
\(42\) | −0.372778 | − | 0.308262i | −0.0575209 | − | 0.0475659i | ||||
\(43\) | 4.14455 | − | 6.44904i | 0.632037 | − | 0.983469i | −0.366553 | − | 0.930397i | \(-0.619462\pi\) |
0.998591 | − | 0.0530723i | \(-0.0169014\pi\) | |||||||
\(44\) | −3.17189 | − | 1.09780i | −0.478180 | − | 0.165500i | ||||
\(45\) | −0.186529 | + | 0.323077i | −0.0278061 | + | 0.0481615i | ||||
\(46\) | −0.236989 | + | 0.844191i | −0.0349421 | + | 0.124469i | ||||
\(47\) | 7.90512 | − | 4.56403i | 1.15308 | − | 0.665732i | 0.203445 | − | 0.979086i | \(-0.434786\pi\) |
0.949636 | + | 0.313355i | \(0.101453\pi\) | |||||||
\(48\) | 2.87227 | − | 2.48883i | 0.414576 | − | 0.359232i | ||||
\(49\) | −0.675851 | + | 6.96730i | −0.0965501 | + | 0.995328i | ||||
\(50\) | −0.126476 | + | 0.879663i | −0.0178865 | + | 0.124403i | ||||
\(51\) | −0.305874 | − | 3.20326i | −0.0428309 | − | 0.448546i | ||||
\(52\) | −1.47817 | + | 3.69230i | −0.204986 | + | 0.512030i | ||||
\(53\) | −0.377392 | − | 0.395797i | −0.0518388 | − | 0.0543669i | 0.697304 | − | 0.716776i | \(-0.254383\pi\) |
−0.749143 | + | 0.662409i | \(0.769534\pi\) | |||||||
\(54\) | 0.0837779 | − | 0.162506i | 0.0114007 | − | 0.0221143i | ||||
\(55\) | −0.579184 | + | 0.264505i | −0.0780972 | + | 0.0356658i | ||||
\(56\) | 1.85298 | + | 0.497994i | 0.247614 | + | 0.0665473i | ||||
\(57\) | −2.43503 | − | 2.10997i | −0.322528 | − | 0.279472i | ||||
\(58\) | −1.22845 | − | 0.236764i | −0.161303 | − | 0.0310887i | ||||
\(59\) | −12.6913 | − | 3.07887i | −1.65226 | − | 0.400834i | −0.701972 | − | 0.712204i | \(-0.747697\pi\) |
−0.950289 | + | 0.311370i | \(0.899212\pi\) | |||||||
\(60\) | 0.0697374 | − | 0.730323i | 0.00900306 | − | 0.0942843i | ||||
\(61\) | −8.23463 | − | 4.24525i | −1.05434 | − | 0.543548i | −0.158237 | − | 0.987401i | \(-0.550581\pi\) |
−0.896100 | + | 0.443853i | \(0.853611\pi\) | |||||||
\(62\) | 0.280849 | − | 0.956483i | 0.0356678 | − | 0.121473i | ||||
\(63\) | −2.62728 | + | 0.312129i | −0.331006 | + | 0.0393246i | ||||
\(64\) | −2.99468 | + | 6.55743i | −0.374335 | + | 0.819679i | ||||
\(65\) | 0.280408 | + | 0.700426i | 0.0347804 | + | 0.0868772i | ||||
\(66\) | 0.277361 | − | 0.142990i | 0.0341408 | − | 0.0176008i | ||||
\(67\) | −0.485259 | − | 2.51776i | −0.0592838 | − | 0.307593i | 0.940168 | − | 0.340712i | \(-0.110668\pi\) |
−0.999451 | + | 0.0331187i | \(0.989456\pi\) | |||||||
\(68\) | 3.16405 | + | 5.48029i | 0.383697 | + | 0.664583i | ||||
\(69\) | 2.44723 | + | 4.12445i | 0.294612 | + | 0.496525i | ||||
\(70\) | 0.158448 | − | 0.0863650i | 0.0189382 | − | 0.0103226i | ||||
\(71\) | −4.91100 | − | 5.66759i | −0.582828 | − | 0.672620i | 0.385382 | − | 0.922757i | \(-0.374070\pi\) |
−0.968210 | + | 0.250137i | \(0.919524\pi\) | |||||||
\(72\) | −0.0345069 | + | 0.724390i | −0.00406668 | + | 0.0853701i | ||||
\(73\) | 2.21802 | − | 2.82044i | 0.259599 | − | 0.330107i | −0.638729 | − | 0.769431i | \(-0.720540\pi\) |
0.898329 | + | 0.439324i | \(0.144782\pi\) | |||||||
\(74\) | 0.103325 | − | 0.0735775i | 0.0120113 | − | 0.00855321i | ||||
\(75\) | 3.00476 | + | 3.82087i | 0.346960 | + | 0.441196i | ||||
\(76\) | 6.07966 | + | 1.78515i | 0.697385 | + | 0.204771i | ||||
\(77\) | −3.96170 | − | 2.16711i | −0.451478 | − | 0.246966i | ||||
\(78\) | −0.153602 | − | 0.336342i | −0.0173920 | − | 0.0380833i | ||||
\(79\) | −7.02535 | + | 7.36797i | −0.790413 | + | 0.828962i | −0.988500 | − | 0.151223i | \(-0.951679\pi\) |
0.198086 | + | 0.980185i | \(0.436527\pi\) | |||||||
\(80\) | 0.463725 | + | 1.33985i | 0.0518461 | + | 0.149799i | ||||
\(81\) | −0.327068 | − | 0.945001i | −0.0363409 | − | 0.105000i | ||||
\(82\) | 1.20024 | − | 1.25877i | 0.132544 | − | 0.139008i | ||||
\(83\) | −3.25835 | − | 7.13480i | −0.357651 | − | 0.783146i | −0.999862 | − | 0.0166179i | \(-0.994710\pi\) |
0.642211 | − | 0.766528i | \(-0.278017\pi\) | |||||||
\(84\) | 4.44483 | − | 2.70469i | 0.484971 | − | 0.295106i | ||||
\(85\) | 1.15181 | + | 0.338202i | 0.124931 | + | 0.0366831i | ||||
\(86\) | −0.866398 | − | 1.10171i | −0.0934261 | − | 0.118801i | ||||
\(87\) | −5.57391 | + | 3.96917i | −0.597586 | + | 0.425539i | ||||
\(88\) | −0.765138 | + | 0.972952i | −0.0815640 | + | 0.103717i | ||||
\(89\) | −0.188278 | + | 3.95244i | −0.0199574 | + | 0.418957i | 0.966676 | + | 0.256002i | \(0.0824055\pi\) |
−0.986634 | + | 0.162955i | \(0.947898\pi\) | |||||||
\(90\) | 0.0446657 | + | 0.0515469i | 0.00470817 | + | 0.00543352i | ||||
\(91\) | −2.78833 | + | 4.56682i | −0.292296 | + | 0.478733i | ||||
\(92\) | −7.74719 | − | 5.37880i | −0.807700 | − | 0.560779i | ||||
\(93\) | −2.72619 | − | 4.72190i | −0.282693 | − | 0.489638i | ||||
\(94\) | −0.315839 | − | 1.63873i | −0.0325763 | − | 0.169022i | ||||
\(95\) | 1.06838 | − | 0.550786i | 0.109613 | − | 0.0565095i | ||||
\(96\) | −0.797320 | − | 1.99161i | −0.0813761 | − | 0.203268i | ||||
\(97\) | 5.41369 | − | 11.8543i | 0.549677 | − | 1.20363i | −0.407255 | − | 0.913314i | \(-0.633514\pi\) |
0.956932 | − | 0.290311i | \(-0.0937587\pi\) | |||||||
\(98\) | 1.16336 | + | 0.533401i | 0.117517 | + | 0.0538816i | ||||
\(99\) | 0.480853 | − | 1.63763i | 0.0483275 | − | 0.164588i | ||||
\(100\) | −8.49653 | − | 4.38027i | −0.849653 | − | 0.438027i | ||||
\(101\) | 0.0371664 | − | 0.389224i | 0.00369820 | − | 0.0387293i | −0.993434 | − | 0.114403i | \(-0.963505\pi\) |
0.997133 | + | 0.0756734i | \(0.0241106\pi\) | |||||||
\(102\) | −0.571734 | − | 0.138701i | −0.0566101 | − | 0.0137335i | ||||
\(103\) | −13.7027 | − | 2.64099i | −1.35017 | − | 0.260224i | −0.537656 | − | 0.843164i | \(-0.680690\pi\) |
−0.812515 | + | 0.582940i | \(0.801902\pi\) | |||||||
\(104\) | 1.10843 | + | 0.960462i | 0.108691 | + | 0.0941810i | ||||
\(105\) | 0.256174 | − | 0.953194i | 0.0250001 | − | 0.0930222i | ||||
\(106\) | −0.0909512 | + | 0.0415360i | −0.00883396 | + | 0.00403434i | ||||
\(107\) | −1.22096 | + | 2.36833i | −0.118035 | + | 0.228956i | −0.940450 | − | 0.339932i | \(-0.889596\pi\) |
0.822415 | + | 0.568888i | \(0.192626\pi\) | |||||||
\(108\) | 1.35709 | + | 1.42328i | 0.130586 | + | 0.136955i | ||||
\(109\) | −6.80503 | + | 16.9981i | −0.651804 | + | 1.62813i | 0.120380 | + | 0.992728i | \(0.461589\pi\) |
−0.772184 | + | 0.635399i | \(0.780835\pi\) | |||||||
\(110\) | 0.0110657 | + | 0.115885i | 0.00105508 | + | 0.0110492i | ||||
\(111\) | 0.0987360 | − | 0.686724i | 0.00937160 | − | 0.0651809i | ||||
\(112\) | −5.64233 | + | 8.32308i | −0.533150 | + | 0.786457i | ||||
\(113\) | −3.82461 | + | 3.31404i | −0.359789 | + | 0.311759i | −0.815932 | − | 0.578147i | \(-0.803776\pi\) |
0.456143 | + | 0.889906i | \(0.349230\pi\) | |||||||
\(114\) | −0.510161 | + | 0.294541i | −0.0477809 | + | 0.0275863i | ||||
\(115\) | −1.76775 | + | 0.275700i | −0.164844 | + | 0.0257091i | ||||
\(116\) | 6.72835 | − | 11.6538i | 0.624712 | − | 1.08203i | ||||
\(117\) | −1.91117 | − | 0.661462i | −0.176688 | − | 0.0611521i | ||||
\(118\) | −1.29086 | + | 2.00862i | −0.118834 | + | 0.184909i | ||||
\(119\) | 2.96920 | + | 7.97902i | 0.272186 | + | 0.731436i | ||||
\(120\) | −0.246097 | − | 0.112389i | −0.0224655 | − | 0.0102596i | ||||
\(121\) | −6.35676 | + | 4.99901i | −0.577887 | + | 0.454456i | ||||
\(122\) | −1.22589 | + | 1.16888i | −0.110987 | + | 0.105826i | ||||
\(123\) | −0.452649 | − | 9.50227i | −0.0408140 | − | 0.856791i | ||||
\(124\) | 8.73430 | + | 6.21966i | 0.784363 | + | 0.558542i | ||||
\(125\) | −3.52964 | + | 1.03640i | −0.315701 | + | 0.0926982i | ||||
\(126\) | −0.103178 | + | 0.472593i | −0.00919180 | + | 0.0421019i | ||||
\(127\) | 11.8783 | − | 13.7083i | 1.05403 | − | 1.21642i | 0.0784175 | − | 0.996921i | \(-0.475013\pi\) |
0.975613 | − | 0.219496i | \(-0.0704413\pi\) | |||||||
\(128\) | 4.05911 | + | 3.87035i | 0.358778 | + | 0.342094i | ||||
\(129\) | −7.63128 | − | 0.728699i | −0.671896 | − | 0.0641583i | ||||
\(130\) | 0.137784 | − | 0.00656347i | 0.0120845 | − | 0.000575654i | ||||
\(131\) | −11.3533 | + | 2.75429i | −0.991945 | + | 0.240643i | −0.698716 | − | 0.715399i | \(-0.746245\pi\) |
−0.293229 | + | 0.956042i | \(0.594730\pi\) | |||||||
\(132\) | 0.477678 | + | 3.32233i | 0.0415766 | + | 0.289171i | ||||
\(133\) | 7.66502 | + | 3.73055i | 0.664642 | + | 0.323480i | ||||
\(134\) | −0.464024 | − | 0.0667166i | −0.0400856 | − | 0.00576343i | ||||
\(135\) | 0.372635 | + | 0.0177508i | 0.0320713 | + | 0.00152774i | ||||
\(136\) | 2.29143 | − | 0.441638i | 0.196489 | − | 0.0378701i | ||||
\(137\) | −16.5056 | − | 9.52952i | −1.41017 | − | 0.814161i | −0.414765 | − | 0.909928i | \(-0.636136\pi\) |
−0.995404 | + | 0.0957671i | \(0.969470\pi\) | |||||||
\(138\) | 0.858941 | − | 0.176186i | 0.0731180 | − | 0.0149980i | ||||
\(139\) | − | 11.3183i | − | 0.960009i | −0.877266 | − | 0.480004i | \(-0.840635\pi\) | ||
0.877266 | − | 0.480004i | \(-0.159365\pi\) | |||||||
\(140\) | 0.320446 | + | 1.91441i | 0.0270827 | + | 0.161797i | ||||
\(141\) | −7.67900 | − | 4.93500i | −0.646689 | − | 0.415602i | ||||
\(142\) | −1.27289 | + | 0.509587i | −0.106818 | + | 0.0427636i | ||||
\(143\) | −2.00222 | − | 2.81173i | −0.167434 | − | 0.235129i | ||||
\(144\) | −3.52831 | − | 1.41252i | −0.294026 | − | 0.117710i | ||||
\(145\) | −0.601828 | − | 2.48077i | −0.0499791 | − | 0.206017i | ||||
\(146\) | −0.354668 | − | 0.551874i | −0.0293525 | − | 0.0456735i | ||||
\(147\) | 6.50247 | − | 2.59188i | 0.536315 | − | 0.213775i | ||||
\(148\) | 0.384390 | + | 1.30911i | 0.0315967 | + | 0.107608i | ||||
\(149\) | −0.194853 | + | 1.01099i | −0.0159630 | + | 0.0828238i | −0.989037 | − | 0.147671i | \(-0.952822\pi\) |
0.973074 | + | 0.230495i | \(0.0740345\pi\) | |||||||
\(150\) | 0.839830 | − | 0.290668i | 0.0685718 | − | 0.0237329i | ||||
\(151\) | −0.689203 | + | 2.84093i | −0.0560865 | + | 0.231192i | −0.992955 | − | 0.118489i | \(-0.962195\pi\) |
0.936869 | + | 0.349681i | \(0.113710\pi\) | |||||||
\(152\) | 1.35538 | − | 1.90337i | 0.109936 | − | 0.154384i | ||||
\(153\) | −2.70701 | + | 1.73969i | −0.218849 | + | 0.140646i | ||||
\(154\) | −0.611325 | + | 0.554894i | −0.0492620 | + | 0.0447147i | ||||
\(155\) | 2.01335 | − | 0.289476i | 0.161716 | − | 0.0232513i | ||||
\(156\) | 3.95918 | − | 0.378056i | 0.316988 | − | 0.0302687i | ||||
\(157\) | 4.30495 | + | 3.38545i | 0.343572 | + | 0.270188i | 0.775003 | − | 0.631958i | \(-0.217748\pi\) |
−0.431430 | + | 0.902146i | \(0.641991\pi\) | |||||||
\(158\) | 0.852900 | + | 1.65440i | 0.0678531 | + | 0.131617i | ||||
\(159\) | −0.178868 | + | 0.516804i | −0.0141851 | + | 0.0409852i | ||||
\(160\) | 0.800313 | 0.0632703 | ||||||||
\(161\) | −9.07178 | − | 8.87146i | −0.714957 | − | 0.699169i | ||||
\(162\) | −0.182831 | −0.0143645 | ||||||||
\(163\) | 1.16509 | − | 3.36629i | 0.0912565 | − | 0.263668i | −0.890131 | − | 0.455704i | \(-0.849388\pi\) |
0.981388 | + | 0.192035i | \(0.0615088\pi\) | |||||||
\(164\) | 8.57255 | + | 16.6284i | 0.669404 | + | 1.29846i | ||||
\(165\) | 0.500499 | + | 0.393596i | 0.0389638 | + | 0.0306414i | ||||
\(166\) | −1.42756 | + | 0.136315i | −0.110800 | + | 0.0105801i | ||||
\(167\) | 20.9089 | − | 3.00624i | 1.61798 | − | 0.232630i | 0.726987 | − | 0.686652i | \(-0.240920\pi\) |
0.890991 | + | 0.454022i | \(0.150011\pi\) | |||||||
\(168\) | −0.406448 | − | 1.87518i | −0.0313581 | − | 0.144674i | ||||
\(169\) | 7.49549 | − | 4.81706i | 0.576576 | − | 0.370543i | ||||
\(170\) | 0.127309 | − | 0.178780i | 0.00976413 | − | 0.0137118i | ||||
\(171\) | −0.759618 | + | 3.13119i | −0.0580895 | + | 0.239448i | ||||
\(172\) | 14.2466 | − | 4.93079i | 1.08629 | − | 0.375969i | ||||
\(173\) | −0.103805 | + | 0.538590i | −0.00789213 | + | 0.0409482i | −0.985661 | − | 0.168736i | \(-0.946031\pi\) |
0.977769 | + | 0.209684i | \(0.0672436\pi\) | |||||||
\(174\) | 0.352464 | + | 1.20038i | 0.0267202 | + | 0.0910007i | ||||
\(175\) | −10.2896 | − | 7.71476i | −0.777821 | − | 0.583181i | ||||
\(176\) | −3.50696 | − | 5.45694i | −0.264347 | − | 0.411332i | ||||
\(177\) | 3.07887 | + | 12.6913i | 0.231422 | + | 0.953933i | ||||
\(178\) | 0.671624 | + | 0.268878i | 0.0503403 | + | 0.0201532i | ||||
\(179\) | −3.33686 | − | 4.68596i | −0.249408 | − | 0.350245i | 0.670825 | − | 0.741616i | \(-0.265940\pi\) |
−0.920233 | + | 0.391371i | \(0.872001\pi\) | |||||||
\(180\) | −0.681092 | + | 0.272668i | −0.0507656 | + | 0.0203235i | ||||
\(181\) | 7.60784 | + | 4.88926i | 0.565486 | + | 0.363416i | 0.791933 | − | 0.610607i | \(-0.209075\pi\) |
−0.226447 | + | 0.974023i | \(0.572711\pi\) | |||||||
\(182\) | 0.622297 | + | 0.754841i | 0.0461277 | + | 0.0559525i | ||||
\(183\) | 9.26452i | 0.684853i | ||||||||
\(184\) | −2.80885 | + | 2.05104i | −0.207071 | + | 0.151205i | ||||
\(185\) | 0.224146 | + | 0.129411i | 0.0164796 | + | 0.00951448i | ||||
\(186\) | −0.978848 | + | 0.188657i | −0.0717726 | + | 0.0138330i | ||||
\(187\) | −5.48587 | − | 0.261324i | −0.401167 | − | 0.0191099i | ||||
\(188\) | 17.7683 | + | 2.55469i | 1.29588 | + | 0.186320i | ||||
\(189\) | 1.48132 | + | 2.19219i | 0.107750 | + | 0.159458i | ||||
\(190\) | −0.0312754 | − | 0.217525i | −0.00226895 | − | 0.0157809i | ||||
\(191\) | 0.0101216 | − | 0.00245548i | 0.000732375 | − | 0.000177672i | −0.235393 | − | 0.971900i | \(-0.575638\pi\) |
0.236125 | + | 0.971723i | \(0.424122\pi\) | |||||||
\(192\) | 7.20072 | − | 0.343013i | 0.519667 | − | 0.0247548i | ||||
\(193\) | 10.7868 | + | 1.03001i | 0.776449 | + | 0.0741419i | 0.475754 | − | 0.879578i | \(-0.342175\pi\) |
0.300695 | + | 0.953720i | \(0.402781\pi\) | |||||||
\(194\) | −1.72441 | − | 1.64422i | −0.123805 | − | 0.118048i | ||||
\(195\) | 0.494073 | − | 0.570191i | 0.0353813 | − | 0.0408322i | ||||
\(196\) | −9.51458 | + | 9.94866i | −0.679613 | + | 0.710619i | ||||
\(197\) | 20.7235 | − | 6.08496i | 1.47649 | − | 0.433536i | 0.558286 | − | 0.829649i | \(-0.311459\pi\) |
0.918202 | + | 0.396113i | \(0.129641\pi\) | |||||||
\(198\) | −0.254188 | − | 0.181007i | −0.0180644 | − | 0.0128636i | ||||
\(199\) | −0.428007 | − | 8.98497i | −0.0303406 | − | 0.636927i | −0.961910 | − | 0.273365i | \(-0.911863\pi\) |
0.931570 | − | 0.363562i | \(-0.118440\pi\) | |||||||
\(200\) | −2.55125 | + | 2.43262i | −0.180401 | + | 0.172012i | ||||
\(201\) | −2.01552 | + | 1.58502i | −0.142164 | + | 0.111799i | ||||
\(202\) | −0.0650258 | − | 0.0296963i | −0.00457520 | − | 0.00208942i | ||||
\(203\) | 11.5372 | − | 13.9518i | 0.809752 | − | 0.979224i | ||||
\(204\) | 3.42123 | − | 5.32353i | 0.239534 | − | 0.372722i | ||||
\(205\) | 3.35373 | + | 1.16074i | 0.234234 | + | 0.0810693i | ||||
\(206\) | −1.27569 | + | 2.20957i | −0.0888818 | + | 0.153948i | ||||
\(207\) | 2.54457 | − | 4.06512i | 0.176860 | − | 0.282545i | ||||
\(208\) | −6.65648 | + | 3.84312i | −0.461544 | + | 0.266472i | ||||
\(209\) | −4.15605 | + | 3.60123i | −0.287480 | + | 0.249103i | ||||
\(210\) | −0.149369 | − | 0.101260i | −0.0103075 | − | 0.00698758i | ||||
\(211\) | 2.09043 | − | 14.5393i | 0.143911 | − | 1.00092i | −0.782026 | − | 0.623246i | \(-0.785813\pi\) |
0.925937 | − | 0.377678i | \(-0.123277\pi\) | |||||||
\(212\) | −0.102231 | − | 1.07061i | −0.00702127 | − | 0.0735301i | ||||
\(213\) | −2.78721 | + | 6.96211i | −0.190976 | + | 0.477036i | ||||
\(214\) | 0.336178 | + | 0.352574i | 0.0229807 | + | 0.0241014i | ||||
\(215\) | 1.31046 | − | 2.54194i | 0.0893727 | − | 0.173359i | ||||
\(216\) | 0.659675 | − | 0.301264i | 0.0448852 | − | 0.0204984i | ||||
\(217\) | 10.1928 | + | 10.2081i | 0.691933 | + | 0.692973i | ||||
\(218\) | 2.52993 | + | 2.19220i | 0.171348 | + | 0.148474i | ||||
\(219\) | −3.52326 | − | 0.679052i | −0.238080 | − | 0.0458861i | ||||
\(220\) | −1.21687 | − | 0.295209i | −0.0820412 | − | 0.0199030i | ||||
\(221\) | −0.618599 | + | 6.47826i | −0.0416115 | + | 0.435775i | ||||
\(222\) | −0.112745 | − | 0.0581239i | −0.00756692 | − | 0.00390102i | ||||
\(223\) | −2.12929 | + | 7.25169i | −0.142588 | + | 0.485609i | −0.999557 | − | 0.0297581i | \(-0.990526\pi\) |
0.856969 | + | 0.515367i | \(0.172344\pi\) | |||||||
\(224\) | 3.39802 | + | 4.54633i | 0.227039 | + | 0.303764i | ||||
\(225\) | 2.01926 | − | 4.42156i | 0.134617 | − | 0.294771i | ||||
\(226\) | 0.343880 | + | 0.858970i | 0.0228745 | + | 0.0571379i | ||||
\(227\) | −9.15576 | + | 4.72012i | −0.607689 | + | 0.313285i | −0.734466 | − | 0.678646i | \(-0.762567\pi\) |
0.126777 | + | 0.991931i | \(0.459537\pi\) | |||||||
\(228\) | −1.19916 | − | 6.22182i | −0.0794161 | − | 0.412050i | ||||
\(229\) | −2.69026 | − | 4.65967i | −0.177777 | − | 0.307920i | 0.763342 | − | 0.645995i | \(-0.223557\pi\) |
−0.941119 | + | 0.338076i | \(0.890224\pi\) | |||||||
\(230\) | −0.0580740 | + | 0.321910i | −0.00382929 | + | 0.0212261i | ||||
\(231\) | −0.110851 | + | 4.51433i | −0.00729346 | + | 0.297021i | ||||
\(232\) | −3.24969 | − | 3.75034i | −0.213353 | − | 0.246222i | ||||
\(233\) | −1.13623 | + | 23.8524i | −0.0744369 | + | 1.56262i | 0.585107 | + | 0.810956i | \(0.301052\pi\) |
−0.659544 | + | 0.751666i | \(0.729251\pi\) | |||||||
\(234\) | −0.228568 | + | 0.290648i | −0.0149420 | + | 0.0190003i | ||||
\(235\) | 2.77387 | − | 1.97526i | 0.180947 | − | 0.128852i | ||||
\(236\) | −15.8757 | − | 20.1876i | −1.03342 | − | 1.31410i | ||||
\(237\) | 9.76811 | + | 2.86818i | 0.634507 | + | 0.186308i | ||||
\(238\) | 1.55613 | − | 0.0358743i | 0.100869 | − | 0.00232538i | ||||
\(239\) | 2.84877 | + | 6.23793i | 0.184272 | + | 0.403498i | 0.979112 | − | 0.203319i | \(-0.0651730\pi\) |
−0.794841 | + | 0.606818i | \(0.792446\pi\) | |||||||
\(240\) | 0.978412 | − | 1.02613i | 0.0631562 | − | 0.0662363i | ||||
\(241\) | 0.772012 | + | 2.23058i | 0.0497297 | + | 0.143684i | 0.967131 | − | 0.254279i | \(-0.0818382\pi\) |
−0.917401 | + | 0.397964i | \(0.869717\pi\) | |||||||
\(242\) | 0.483583 | + | 1.39722i | 0.0310859 | + | 0.0898168i | ||||
\(243\) | −0.690079 | + | 0.723734i | −0.0442686 | + | 0.0464276i | ||||
\(244\) | −7.56859 | − | 16.5729i | −0.484530 | − | 1.06097i | ||||
\(245\) | −0.00391961 | + | 2.61140i | −0.000250415 | + | 0.166836i | ||||
\(246\) | −1.66882 | − | 0.490011i | −0.106400 | − | 0.0312420i | ||||
\(247\) | 4.02804 | + | 5.12207i | 0.256298 | + | 0.325910i | ||||
\(248\) | 3.22094 | − | 2.29362i | 0.204530 | − | 0.145645i | ||||
\(249\) | −4.84860 | + | 6.16549i | −0.307267 | + | 0.390722i | ||||
\(250\) | −0.0320022 | + | 0.671809i | −0.00202400 | + | 0.0424889i | ||||
\(251\) | 1.78603 | + | 2.06119i | 0.112733 | + | 0.130101i | 0.809311 | − | 0.587380i | \(-0.199840\pi\) |
−0.696578 | + | 0.717481i | \(0.745295\pi\) | |||||||
\(252\) | −4.44076 | − | 2.71136i | −0.279742 | − | 0.170800i | ||||
\(253\) | 7.56226 | − | 3.13252i | 0.475435 | − | 0.196940i | ||||
\(254\) | −1.65816 | − | 2.87201i | −0.104042 | − | 0.180206i | ||||
\(255\) | −0.227184 | − | 1.17874i | −0.0142268 | − | 0.0738156i | ||||
\(256\) | −11.9036 | + | 6.13673i | −0.743975 | + | 0.383546i | ||||
\(257\) | 10.9992 | + | 27.4746i | 0.686109 | + | 1.71382i | 0.700231 | + | 0.713917i | \(0.253080\pi\) |
−0.0141220 | + | 0.999900i | \(0.504495\pi\) | |||||||
\(258\) | −0.582236 | + | 1.27492i | −0.0362485 | + | 0.0793730i | ||||
\(259\) | 0.216551 | + | 1.82277i | 0.0134558 | + | 0.113261i | ||||
\(260\) | −0.418013 | + | 1.42362i | −0.0259240 | + | 0.0882892i | ||||
\(261\) | 6.08205 | + | 3.13551i | 0.376469 | + | 0.194083i | ||||
\(262\) | −0.203035 | + | 2.12627i | −0.0125435 | + | 0.131362i | ||||
\(263\) | −19.3653 | − | 4.69797i | −1.19412 | − | 0.289690i | −0.411041 | − | 0.911617i | \(-0.634835\pi\) |
−0.783075 | + | 0.621927i | \(0.786350\pi\) | |||||||
\(264\) | 1.21540 | + | 0.234249i | 0.0748028 | + | 0.0144171i | ||||
\(265\) | −0.154187 | − | 0.133604i | −0.00947163 | − | 0.00820721i | ||||
\(266\) | 1.10290 | − | 1.10125i | 0.0676231 | − | 0.0675217i | ||||
\(267\) | 3.59934 | − | 1.64376i | 0.220276 | − | 0.100597i | ||||
\(268\) | 2.31060 | − | 4.48194i | 0.141142 | − | 0.273778i | ||||
\(269\) | 9.78686 | + | 10.2642i | 0.596715 | + | 0.625817i | 0.950952 | − | 0.309339i | \(-0.100108\pi\) |
−0.354237 | + | 0.935156i | \(0.615259\pi\) | |||||||
\(270\) | 0.0253497 | − | 0.0633206i | 0.00154274 | − | 0.00385357i | ||||
\(271\) | −0.588399 | − | 6.16199i | −0.0357427 | − | 0.374314i | −0.995591 | − | 0.0937963i | \(-0.970100\pi\) |
0.959849 | − | 0.280518i | \(-0.0905063\pi\) | |||||||
\(272\) | −1.74044 | + | 12.1051i | −0.105530 | + | 0.733977i | ||||
\(273\) | 5.33684 | + | 0.385724i | 0.323000 | + | 0.0233451i | ||||
\(274\) | −2.63347 | + | 2.28191i | −0.159094 | + | 0.137855i | ||||
\(275\) | 7.18482 | − | 4.14816i | 0.433261 | − | 0.250143i | ||||
\(276\) | −1.23090 | + | 9.35068i | −0.0740916 | + | 0.562845i | ||||
\(277\) | 1.48733 | − | 2.57614i | 0.0893652 | − | 0.154785i | −0.817878 | − | 0.575392i | \(-0.804850\pi\) |
0.907243 | + | 0.420607i | \(0.138183\pi\) | |||||||
\(278\) | −1.95553 | − | 0.676814i | −0.117285 | − | 0.0405926i | ||||
\(279\) | −2.94778 | + | 4.58684i | −0.176479 | + | 0.274607i | ||||
\(280\) | 0.705796 | + | 0.119230i | 0.0421794 | + | 0.00712537i | ||||
\(281\) | −10.4425 | − | 4.76894i | −0.622949 | − | 0.284491i | 0.0788278 | − | 0.996888i | \(-0.474882\pi\) |
−0.701777 | + | 0.712397i | \(0.747610\pi\) | |||||||
\(282\) | −1.31183 | + | 1.03164i | −0.0781186 | + | 0.0614331i | ||||
\(283\) | 17.1189 | − | 16.3229i | 1.01761 | − | 0.970293i | 0.0180509 | − | 0.999837i | \(-0.494254\pi\) |
0.999563 | + | 0.0295437i | \(0.00940541\pi\) | |||||||
\(284\) | −0.701735 | − | 14.7312i | −0.0416403 | − | 0.874137i | ||||
\(285\) | −0.979117 | − | 0.697226i | −0.0579979 | − | 0.0413001i | ||||
\(286\) | −0.605526 | + | 0.177798i | −0.0358055 | + | 0.0105134i | ||||
\(287\) | 7.64567 | + | 23.9798i | 0.451310 | + | 1.41548i | ||||
\(288\) | −1.40486 | + | 1.62129i | −0.0827822 | + | 0.0955357i | ||||
\(289\) | −4.80964 | − | 4.58598i | −0.282920 | − | 0.269763i | ||||
\(290\) | −0.464603 | − | 0.0443642i | −0.0272825 | − | 0.00260516i | ||||
\(291\) | −13.0172 | + | 0.620088i | −0.763085 | + | 0.0363502i | ||||
\(292\) | 6.85735 | − | 1.66358i | 0.401296 | − | 0.0973534i | ||||
\(293\) | 4.00285 | + | 27.8404i | 0.233849 | + | 1.62645i | 0.681201 | + | 0.732096i | \(0.261458\pi\) |
−0.447353 | + | 0.894358i | \(0.647633\pi\) | |||||||
\(294\) | −0.0589772 | − | 1.27845i | −0.00343962 | − | 0.0745610i | ||||
\(295\) | −4.82231 | − | 0.693344i | −0.280766 | − | 0.0403680i | ||||
\(296\) | 0.502571 | + | 0.0239404i | 0.0292114 | + | 0.00139151i | ||||
\(297\) | −1.67593 | + | 0.323009i | −0.0972472 | + | 0.0187429i | ||||
\(298\) | 0.163023 | + | 0.0941211i | 0.00944365 | + | 0.00545229i | ||||
\(299\) | −3.28124 | − | 9.12719i | −0.189759 | − | 0.527839i | ||||
\(300\) | 9.55917i | 0.551899i | ||||||||
\(301\) | 20.0040 | − | 3.34840i | 1.15301 | − | 0.192999i | ||||
\(302\) | 0.449630 | + | 0.288959i | 0.0258733 | + | 0.0166277i | ||||
\(303\) | −0.362987 | + | 0.145318i | −0.0208531 | + | 0.00834831i | ||||
\(304\) | 7.10305 | + | 9.97484i | 0.407388 | + | 0.572096i | ||||
\(305\) | −3.20862 | − | 1.28454i | −0.183725 | − | 0.0735525i | ||||
\(306\) | 0.138701 | + | 0.571734i | 0.00792902 | + | 0.0326838i | ||||
\(307\) | −16.2192 | − | 25.2376i | −0.925679 | − | 1.44039i | −0.897616 | − | 0.440779i | \(-0.854702\pi\) |
−0.0280640 | − | 0.999606i | \(-0.508934\pi\) | |||||||
\(308\) | −3.48966 | − | 8.16605i | −0.198842 | − | 0.465304i | ||||
\(309\) | 3.93156 | + | 13.3897i | 0.223658 | + | 0.761711i | ||||
\(310\) | 0.0703801 | − | 0.365167i | 0.00399732 | − | 0.0207401i | ||||
\(311\) | 0.697978 | − | 0.241573i | 0.0395787 | − | 0.0136983i | −0.307207 | − | 0.951643i | \(-0.599394\pi\) |
0.346786 | + | 0.937944i | \(0.387273\pi\) | |||||||
\(312\) | 0.345780 | − | 1.42532i | 0.0195759 | − | 0.0806930i | ||||
\(313\) | 13.7292 | − | 19.2800i | 0.776021 | − | 1.08977i | −0.217494 | − | 0.976062i | \(-0.569788\pi\) |
0.993514 | − | 0.113707i | \(-0.0362724\pi\) | |||||||
\(314\) | 0.842349 | − | 0.541345i | 0.0475365 | − | 0.0305499i | ||||
\(315\) | −0.964618 | + | 0.209082i | −0.0543501 | + | 0.0117804i | ||||
\(316\) | −19.8169 | + | 2.84924i | −1.11479 | + | 0.160282i | ||||
\(317\) | 5.70762 | − | 0.545012i | 0.320572 | − | 0.0306109i | 0.0664702 | − | 0.997788i | \(-0.478826\pi\) |
0.254102 | + | 0.967178i | \(0.418220\pi\) | |||||||
\(318\) | 0.0785950 | + | 0.0618078i | 0.00440739 | + | 0.00346601i | ||||
\(319\) | 5.35160 | + | 10.3807i | 0.299632 | + | 0.581206i | ||||
\(320\) | −0.879593 | + | 2.54142i | −0.0491708 | + | 0.142070i | ||||
\(321\) | 2.66454 | 0.148720 | ||||||||
\(322\) | −2.07524 | + | 1.03688i | −0.115649 | + | 0.0577832i | ||||
\(323\) | 10.3679 | 0.576884 | ||||||||
\(324\) | 0.643203 | − | 1.85841i | 0.0357335 | − | 0.103245i | ||||
\(325\) | −4.50461 | − | 8.73772i | −0.249871 | − | 0.484682i | ||||
\(326\) | −0.511942 | − | 0.402596i | −0.0283538 | − | 0.0222977i | ||||
\(327\) | 18.2268 | − | 1.74045i | 1.00794 | − | 0.0962470i | ||||
\(328\) | 6.82875 | − | 0.981826i | 0.377054 | − | 0.0542122i | ||||
\(329\) | 22.9983 | + | 7.37078i | 1.26794 | + | 0.406364i | ||||
\(330\) | 0.0979325 | − | 0.0629374i | 0.00539101 | − | 0.00346459i | ||||
\(331\) | 15.1120 | − | 21.2219i | 0.830632 | − | 1.16646i | −0.153347 | − | 0.988172i | \(-0.549005\pi\) |
0.983979 | − | 0.178287i | \(-0.0570555\pi\) | |||||||
\(332\) | 3.63659 | − | 14.9902i | 0.199584 | − | 0.822695i | ||||
\(333\) | −0.655628 | + | 0.226915i | −0.0359282 | + | 0.0124349i | ||||
\(334\) | 0.730906 | − | 3.79230i | 0.0399934 | − | 0.207505i | ||||
\(335\) | −0.269493 | − | 0.917809i | −0.0147240 | − | 0.0501452i | ||||
\(336\) | 9.98331 | + | 1.20125i | 0.544634 | + | 0.0655336i | ||||
\(337\) | 9.85636 | + | 15.3368i | 0.536910 | + | 0.835449i | 0.998670 | − | 0.0515562i | \(-0.0164181\pi\) |
−0.461760 | + | 0.887005i | \(0.652782\pi\) | |||||||
\(338\) | −0.384052 | − | 1.58308i | −0.0208897 | − | 0.0861085i | ||||
\(339\) | 4.69817 | + | 1.88087i | 0.255170 | + | 0.102155i | ||||
\(340\) | 1.36936 | + | 1.92300i | 0.0742642 | + | 0.104290i | ||||
\(341\) | −8.63936 | + | 3.45868i | −0.467848 | + | 0.187298i | ||||
\(342\) | 0.495568 | + | 0.318482i | 0.0267972 | + | 0.0172215i | ||||
\(343\) | −14.8512 | + | 11.0654i | −0.801888 | + | 0.597474i | ||||
\(344\) | − | 5.55946i | − | 0.299746i | ||||||
\(345\) | 1.05508 | + | 1.44491i | 0.0568037 | + | 0.0777912i | ||||
\(346\) | 0.0868476 | + | 0.0501415i | 0.00466896 | + | 0.00269562i | ||||
\(347\) | 33.5806 | − | 6.47214i | 1.80270 | − | 0.347442i | 0.826272 | − | 0.563272i | \(-0.190458\pi\) |
0.976431 | + | 0.215830i | \(0.0692456\pi\) | |||||||
\(348\) | −13.4415 | − | 0.640296i | −0.720538 | − | 0.0343235i | ||||
\(349\) | −5.34858 | − | 0.769009i | −0.286303 | − | 0.0411641i | −0.00233277 | − | 0.999997i | \(-0.500743\pi\) |
−0.283970 | + | 0.958833i | \(0.591652\pi\) | |||||||
\(350\) | −1.94822 | + | 1.31646i | −0.104137 | + | 0.0703678i | ||||
\(351\) | 0.287817 | + | 2.00181i | 0.0153625 | + | 0.106849i | ||||
\(352\) | −3.55829 | + | 0.863232i | −0.189657 | + | 0.0460104i | ||||
\(353\) | −29.3551 | + | 1.39835i | −1.56241 | + | 0.0744269i | −0.810858 | − | 0.585243i | \(-0.800999\pi\) |
−0.751555 | + | 0.659670i | \(0.770696\pi\) | |||||||
\(354\) | 2.37684 | + | 0.226961i | 0.126328 | + | 0.0120628i | ||||
\(355\) | −2.02477 | − | 1.93061i | −0.107464 | − | 0.102466i | ||||
\(356\) | −5.09584 | + | 5.88092i | −0.270079 | + | 0.311688i | ||||
\(357\) | 5.73147 | − | 6.29533i | 0.303341 | − | 0.333184i | ||||
\(358\) | −1.00915 | + | 0.296315i | −0.0533355 | + | 0.0156607i | ||||
\(359\) | −17.3891 | − | 12.3827i | −0.917763 | − | 0.653536i | 0.0203769 | − | 0.999792i | \(-0.493513\pi\) |
−0.938140 | + | 0.346256i | \(0.887453\pi\) | |||||||
\(360\) | 0.0128731 | + | 0.270239i | 0.000678470 | + | 0.0142428i | ||||
\(361\) | −6.23760 | + | 5.94754i | −0.328295 | + | 0.313028i | ||||
\(362\) | 1.29968 | − | 1.02208i | 0.0683095 | − | 0.0537192i | ||||
\(363\) | 7.35613 | + | 3.35943i | 0.386097 | + | 0.176325i | ||||
\(364\) | −9.86196 | + | 3.66989i | −0.516907 | + | 0.192355i | ||||
\(365\) | 0.723684 | − | 1.12607i | 0.0378794 | − | 0.0589414i | ||||
\(366\) | 1.60068 | + | 0.554000i | 0.0836688 | + | 0.0289581i | ||||
\(367\) | −1.16175 | + | 2.01221i | −0.0606430 | + | 0.105037i | −0.894753 | − | 0.446561i | \(-0.852648\pi\) |
0.834110 | + | 0.551598i | \(0.185982\pi\) | |||||||
\(368\) | −5.34309 | − | 17.4261i | −0.278528 | − | 0.908397i | ||||
\(369\) | −8.23854 | + | 4.75652i | −0.428881 | + | 0.247615i | ||||
\(370\) | 0.0357625 | − | 0.0309884i | 0.00185920 | − | 0.00161101i | ||||
\(371\) | 0.104305 | − | 1.44315i | 0.00541523 | − | 0.0749246i | ||||
\(372\) | 1.52597 | − | 10.6134i | 0.0791180 | − | 0.550277i | ||||
\(373\) | −2.66858 | − | 27.9466i | −0.138174 | − | 1.44702i | −0.752825 | − | 0.658220i | \(-0.771309\pi\) |
0.614652 | − | 0.788799i | \(-0.289297\pi\) | |||||||
\(374\) | −0.373195 | + | 0.932196i | −0.0192974 | + | 0.0482027i | ||||
\(375\) | 2.53856 | + | 2.66237i | 0.131091 | + | 0.137484i | ||||
\(376\) | 3.03335 | − | 5.88388i | 0.156433 | − | 0.303438i | ||||
\(377\) | 12.5881 | − | 5.74880i | 0.648321 | − | 0.296078i | ||||
\(378\) | 0.467336 | − | 0.124846i | 0.0240372 | − | 0.00642141i | ||||
\(379\) | −5.45569 | − | 4.72739i | −0.280240 | − | 0.242829i | 0.503387 | − | 0.864061i | \(-0.332087\pi\) |
−0.783627 | + | 0.621232i | \(0.786633\pi\) | |||||||
\(380\) | 2.32110 | + | 0.447355i | 0.119070 | + | 0.0229488i | ||||
\(381\) | −17.6274 | − | 4.27636i | −0.903079 | − | 0.219085i | ||||
\(382\) | 0.000181008 | − | 0.00189560i | 9.26115e−6 | − | 9.69872e-5i | ||||
\(383\) | 30.5779 | + | 15.7640i | 1.56246 | + | 0.805504i | 0.999776 | − | 0.0211692i | \(-0.00673886\pi\) |
0.562683 | + | 0.826673i | \(0.309769\pi\) | |||||||
\(384\) | 1.58012 | − | 5.38138i | 0.0806349 | − | 0.274617i | ||||
\(385\) | −1.54810 | − | 0.664310i | −0.0788984 | − | 0.0338564i | ||||
\(386\) | 0.822988 | − | 1.80209i | 0.0418890 | − | 0.0917241i | ||||
\(387\) | 2.84916 | + | 7.11686i | 0.144831 | + | 0.361770i | ||||
\(388\) | 22.7794 | − | 11.7436i | 1.15645 | − | 0.596192i | ||||
\(389\) | 4.48405 | + | 23.2655i | 0.227350 | + | 1.17961i | 0.898733 | + | 0.438495i | \(0.144488\pi\) |
−0.671383 | + | 0.741110i | \(0.734299\pi\) | |||||||
\(390\) | −0.0689702 | − | 0.119460i | −0.00349244 | − | 0.00604909i | ||||
\(391\) | −14.6425 | − | 4.87326i | −0.740503 | − | 0.246451i | ||||
\(392\) | 2.31940 | + | 4.51564i | 0.117147 | + | 0.228074i | ||||
\(393\) | 7.65051 | + | 8.82916i | 0.385917 | + | 0.445372i | ||||
\(394\) | 0.187894 | − | 3.94437i | 0.00946594 | − | 0.198715i | ||||
\(395\) | −2.34771 | + | 2.98536i | −0.118126 | + | 0.150210i | ||||
\(396\) | 2.73412 | − | 1.94695i | 0.137394 | − | 0.0978382i | ||||
\(397\) | −4.32473 | − | 5.49934i | −0.217052 | − | 0.276004i | 0.665318 | − | 0.746560i | \(-0.268296\pi\) |
−0.882370 | + | 0.470556i | \(0.844053\pi\) | |||||||
\(398\) | −1.57797 | − | 0.463334i | −0.0790966 | − | 0.0232249i | ||||
\(399\) | −0.196471 | − | 8.52238i | −0.00983586 | − | 0.426653i | ||||
\(400\) | −7.67431 | − | 16.8044i | −0.383716 | − | 0.840220i | ||||
\(401\) | −22.9778 | + | 24.0984i | −1.14746 | + | 1.20342i | −0.171561 | + | 0.985173i | \(0.554881\pi\) |
−0.975894 | + | 0.218243i | \(0.929967\pi\) | |||||||
\(402\) | 0.153328 | + | 0.443012i | 0.00764731 | + | 0.0220954i | ||||
\(403\) | 3.60654 | + | 10.4204i | 0.179655 | + | 0.519078i | ||||
\(404\) | 0.530616 | − | 0.556494i | 0.0263991 | − | 0.0276866i | ||||
\(405\) | −0.154974 | − | 0.339345i | −0.00770070 | − | 0.0168622i | ||||
\(406\) | −1.72062 | − | 2.82763i | −0.0853930 | − | 0.140333i | ||||
\(407\) | −1.13617 | − | 0.333609i | −0.0563177 | − | 0.0165364i | ||||
\(408\) | −1.44254 | − | 1.83434i | −0.0714163 | − | 0.0908132i | ||||
\(409\) | 8.53041 | − | 6.07448i | 0.421802 | − | 0.300364i | −0.349377 | − | 0.936982i | \(-0.613607\pi\) |
0.771179 | + | 0.636619i | \(0.219667\pi\) | |||||||
\(410\) | 0.401093 | − | 0.510031i | 0.0198086 | − | 0.0251886i | ||||
\(411\) | −0.906865 | + | 19.0374i | −0.0447324 | + | 0.939048i | ||||
\(412\) | −17.9716 | − | 20.7403i | −0.885397 | − | 1.02180i | ||||
\(413\) | −16.5362 | − | 30.3379i | −0.813692 | − | 1.49283i | ||||
\(414\) | −0.550190 | − | 0.682724i | −0.0270404 | − | 0.0335541i | ||||
\(415\) | −1.46306 | − | 2.53409i | −0.0718187 | − | 0.124394i | ||||
\(416\) | 0.821087 | + | 4.26021i | 0.0402571 | + | 0.208874i | ||||
\(417\) | −10.0601 | + | 5.18636i | −0.492647 | + | 0.253977i | ||||
\(418\) | 0.373680 | + | 0.933408i | 0.0182773 | + | 0.0456545i | ||||
\(419\) | 1.47676 | − | 3.23365i | 0.0721445 | − | 0.157974i | −0.870124 | − | 0.492833i | \(-0.835961\pi\) |
0.942268 | + | 0.334859i | \(0.108689\pi\) | |||||||
\(420\) | 1.55476 | − | 1.16206i | 0.0758643 | − | 0.0567025i | ||||
\(421\) | −5.66833 | + | 19.3046i | −0.276258 | + | 0.940847i | 0.698130 | + | 0.715971i | \(0.254016\pi\) |
−0.974387 | + | 0.224876i | \(0.927802\pi\) | |||||||
\(422\) | −2.38702 | − | 1.23059i | −0.116198 | − | 0.0599044i | ||||
\(423\) | −0.867676 | + | 9.08672i | −0.0421879 | + | 0.441811i | ||||
\(424\) | −0.385425 | − | 0.0935032i | −0.0187179 | − | 0.00454092i | ||||
\(425\) | −15.3586 | − | 2.96014i | −0.745004 | − | 0.143588i | ||||
\(426\) | 1.03621 | + | 0.897881i | 0.0502045 | + | 0.0435025i | ||||
\(427\) | −6.32630 | − | 23.6812i | −0.306151 | − | 1.14601i | ||||
\(428\) | −4.76648 | + | 2.17678i | −0.230396 | + | 0.105218i | ||||
\(429\) | −1.58169 | + | 3.06806i | −0.0763648 | + | 0.148127i | ||||
\(430\) | −0.360821 | − | 0.378418i | −0.0174003 | − | 0.0182489i | ||||
\(431\) | −7.99049 | + | 19.9593i | −0.384889 | + | 0.961405i | 0.601780 | + | 0.798662i | \(0.294458\pi\) |
−0.986668 | + | 0.162743i | \(0.947966\pi\) | |||||||
\(432\) | 0.361266 | + | 3.78335i | 0.0173814 | + | 0.182026i | ||||
\(433\) | −1.44328 | + | 10.0382i | −0.0693596 | + | 0.482407i | 0.925303 | + | 0.379228i | \(0.123810\pi\) |
−0.994663 | + | 0.103179i | \(0.967099\pi\) | |||||||
\(434\) | 2.37322 | − | 1.15064i | 0.113918 | − | 0.0552324i | ||||
\(435\) | −1.92922 | + | 1.67168i | −0.0924991 | + | 0.0801509i | ||||
\(436\) | −31.1833 | + | 18.0037i | −1.49341 | + | 0.862220i | ||||
\(437\) | −13.9784 | + | 6.58610i | −0.668676 | + | 0.315056i | ||||
\(438\) | −0.328007 | + | 0.568125i | −0.0156728 | + | 0.0271461i | ||||
\(439\) | 7.49101 | + | 2.59266i | 0.357526 | + | 0.123741i | 0.499926 | − | 0.866068i | \(-0.333361\pi\) |
−0.142400 | + | 0.989809i | \(0.545482\pi\) | |||||||
\(440\) | −0.249646 | + | 0.388456i | −0.0119014 | + | 0.0185189i | ||||
\(441\) | −5.28336 | − | 4.59196i | −0.251589 | − | 0.218665i | ||||
\(442\) | 1.08229 | + | 0.494266i | 0.0514793 | + | 0.0235098i | ||||
\(443\) | 1.87868 | − | 1.47741i | 0.0892587 | − | 0.0701939i | −0.572532 | − | 0.819882i | \(-0.694039\pi\) |
0.661791 | + | 0.749688i | \(0.269797\pi\) | |||||||
\(444\) | 0.987448 | − | 0.941530i | 0.0468622 | − | 0.0446830i | ||||
\(445\) | 0.0702384 | + | 1.47449i | 0.00332962 | + | 0.0698973i | ||||
\(446\) | 1.12558 | + | 0.801525i | 0.0532980 | + | 0.0379533i | ||||
\(447\) | 0.987893 | − | 0.290072i | 0.0467257 | − | 0.0137199i | ||||
\(448\) | −18.1716 | + | 5.79381i | −0.858529 | + | 0.273732i | ||||
\(449\) | −9.92631 | + | 11.4556i | −0.468452 | + | 0.540622i | −0.939980 | − | 0.341229i | \(-0.889157\pi\) |
0.471529 | + | 0.881851i | \(0.343702\pi\) | |||||||
\(450\) | −0.643189 | − | 0.613279i | −0.0303202 | − | 0.0289102i | ||||
\(451\) | −16.1631 | − | 1.54339i | −0.761089 | − | 0.0726752i | ||||
\(452\) | −9.94093 | + | 0.473545i | −0.467582 | + | 0.0222737i | ||||
\(453\) | 2.84093 | − | 0.689203i | 0.133479 | − | 0.0323816i | ||||
\(454\) | 0.268023 | + | 1.86414i | 0.0125789 | + | 0.0874885i | ||||
\(455\) | −0.873551 | + | 1.79485i | −0.0409527 | + | 0.0841439i | ||||
\(456\) | −2.31286 | − | 0.332538i | −0.108309 | − | 0.0155725i | ||||
\(457\) | −24.5197 | − | 1.16802i | −1.14698 | − | 0.0546376i | −0.534534 | − | 0.845147i | \(-0.679513\pi\) |
−0.612450 | + | 0.790509i | \(0.709816\pi\) | |||||||
\(458\) | −0.965947 | + | 0.186171i | −0.0451357 | + | 0.00869920i | ||||
\(459\) | 2.78672 | + | 1.60891i | 0.130073 | + | 0.0750977i | ||||
\(460\) | −3.06780 | − | 1.72279i | −0.143037 | − | 0.0803255i | ||||
\(461\) | − | 25.5586i | − | 1.19038i | −0.803584 | − | 0.595191i | \(-0.797076\pi\) | ||
0.803584 | − | 0.595191i | \(-0.202924\pi\) | |||||||
\(462\) | 0.773335 | + | 0.289100i | 0.0359788 | + | 0.0134502i | ||||
\(463\) | −6.48594 | − | 4.16826i | −0.301427 | − | 0.193716i | 0.381180 | − | 0.924501i | \(-0.375518\pi\) |
−0.682607 | + | 0.730785i | \(0.739154\pi\) | |||||||
\(464\) | 24.1433 | − | 9.66550i | 1.12082 | − | 0.448710i | ||||
\(465\) | −1.17987 | − | 1.65689i | −0.0547150 | − | 0.0768364i | ||||
\(466\) | 4.05315 | + | 1.62264i | 0.187759 | + | 0.0751673i | ||||
\(467\) | 0.727493 | + | 2.99877i | 0.0336644 | + | 0.138766i | 0.986164 | − | 0.165774i | \(-0.0530123\pi\) |
−0.952499 | + | 0.304540i | \(0.901497\pi\) | |||||||
\(468\) | −2.15023 | − | 3.34583i | −0.0993946 | − | 0.154661i | ||||
\(469\) | 4.06955 | − | 5.42779i | 0.187915 | − | 0.250632i | ||||
\(470\) | −0.175404 | − | 0.597372i | −0.00809079 | − | 0.0275547i | ||||
\(471\) | 1.03647 | − | 5.37769i | 0.0477578 | − | 0.247791i | ||||
\(472\) | −8.94992 | + | 3.09760i | −0.411953 | + | 0.142578i | ||||
\(473\) | −3.08469 | + | 12.7153i | −0.141834 | + | 0.584649i | ||||
\(474\) | 1.07966 | − | 1.51618i | 0.0495906 | − | 0.0696403i | ||||
\(475\) | −13.1754 | + | 8.46733i | −0.604530 | + | 0.388508i | ||||
\(476\) | −5.10985 | + | 15.9437i | −0.234210 | + | 0.730780i | ||||
\(477\) | 0.541316 | − | 0.0778294i | 0.0247851 | − | 0.00356357i | ||||
\(478\) | 1.24811 | − | 0.119180i | 0.0570872 | − | 0.00545117i | ||||
\(479\) | −7.44886 | − | 5.85785i | −0.340347 | − | 0.267652i | 0.433326 | − | 0.901237i | \(-0.357340\pi\) |
−0.773673 | + | 0.633586i | \(0.781582\pi\) | |||||||
\(480\) | −0.366725 | − | 0.711346i | −0.0167386 | − | 0.0324684i | ||||
\(481\) | −0.458913 | + | 1.32594i | −0.0209246 | + | 0.0604577i | ||||
\(482\) | 0.431554 | 0.0196568 | ||||||||
\(483\) | −3.72833 | + | 12.1285i | −0.169645 | + | 0.551864i | ||||
\(484\) | −15.9035 | −0.722888 | ||||||||
\(485\) | 1.59010 | − | 4.59430i | 0.0722028 | − | 0.208616i | ||||
\(486\) | 0.0837779 | + | 0.162506i | 0.00380024 | + | 0.00737144i | ||||
\(487\) | 20.3494 | + | 16.0029i | 0.922119 | + | 0.725162i | 0.961714 | − | 0.274054i | \(-0.0883646\pi\) |
−0.0395958 | + | 0.999216i | \(0.512607\pi\) | |||||||
\(488\) | −6.68831 | + | 0.638656i | −0.302766 | + | 0.0289106i | ||||
\(489\) | −3.52595 | + | 0.506956i | −0.159449 | + | 0.0229253i | ||||
\(490\) | 0.450950 | + | 0.156834i | 0.0203719 | + | 0.00708503i | ||||
\(491\) | −21.3878 | + | 13.7451i | −0.965217 | + | 0.620307i | −0.925437 | − | 0.378901i | \(-0.876302\pi\) |
−0.0397799 | + | 0.999208i | \(0.512666\pi\) | |||||||
\(492\) | 10.8518 | − | 15.2392i | 0.489235 | − | 0.687035i | ||||
\(493\) | 5.19110 | − | 21.3980i | 0.233795 | − | 0.963718i | ||||
\(494\) | 1.12584 | − | 0.389656i | 0.0506538 | − | 0.0175314i | ||||
\(495\) | 0.120501 | − | 0.625217i | 0.00541611 | − | 0.0281014i | ||||
\(496\) | 5.83808 | + | 19.8827i | 0.262138 | + | 0.892759i | ||||
\(497\) | 2.37032 | − | 19.6992i | 0.106324 | − | 0.883630i | ||||
\(498\) | 0.775307 | + | 1.20640i | 0.0347423 | + | 0.0540601i | ||||
\(499\) | −0.0245849 | − | 0.101340i | −0.00110057 | − | 0.00453662i | 0.971259 | − | 0.238027i | \(-0.0765005\pi\) |
−0.972359 | + | 0.233490i | \(0.924985\pi\) | |||||||
\(500\) | −6.71613 | − | 2.68873i | −0.300355 | − | 0.120244i | ||||
\(501\) | −12.2531 | − | 17.2070i | −0.547426 | − | 0.768752i | ||||
\(502\) | 0.462924 | − | 0.185327i | 0.0206613 | − | 0.00827154i | ||||
\(503\) | −20.9086 | − | 13.4371i | −0.932267 | − | 0.599132i | −0.0160751 | − | 0.999871i | \(-0.505117\pi\) |
−0.916192 | + | 0.400739i | \(0.868753\pi\) | |||||||
\(504\) | −1.48049 | + | 1.22052i | −0.0659461 | + | 0.0543665i | ||||
\(505\) | − | 0.145864i | − | 0.00649084i | ||||||
\(506\) | −0.0890132 | − | 1.49389i | −0.00395712 | − | 0.0664115i | ||||
\(507\) | −7.71620 | − | 4.45495i | −0.342689 | − | 0.197851i | ||||
\(508\) | 35.0265 | − | 6.75080i | 1.55405 | − | 0.299518i | ||||
\(509\) | 31.4243 | + | 1.49693i | 1.39286 | + | 0.0663501i | 0.730539 | − | 0.682871i | \(-0.239269\pi\) |
0.662320 | + | 0.749221i | \(0.269572\pi\) | |||||||
\(510\) | −0.217242 | − | 0.0312347i | −0.00961965 | − | 0.00138310i | ||||
\(511\) | 9.46953 | − | 0.670132i | 0.418908 | − | 0.0296449i | ||||
\(512\) | 1.94483 | + | 13.5266i | 0.0859500 | + | 0.597796i | ||||
\(513\) | 3.13119 | − | 0.759618i | 0.138245 | − | 0.0335380i | ||||
\(514\) | 5.40465 | − | 0.257455i | 0.238389 | − | 0.0113559i | ||||
\(515\) | −5.18242 | − | 0.494861i | −0.228365 | − | 0.0218062i | ||||
\(516\) | −10.9108 | − | 10.4034i | −0.480322 | − | 0.457986i | ||||
\(517\) | −10.2024 | + | 11.7742i | −0.448701 | + | 0.517828i | ||||
\(518\) | 0.327878 | + | 0.0715832i | 0.0144061 | + | 0.00314519i | ||||
\(519\) | 0.526284 | − | 0.154531i | 0.0231013 | − | 0.00678315i | ||||
\(520\) | 0.445696 | + | 0.317378i | 0.0195451 | + | 0.0139180i | ||||
\(521\) | −0.660151 | − | 13.8583i | −0.0289217 | − | 0.607142i | −0.966081 | − | 0.258240i | \(-0.916858\pi\) |
0.937159 | − | 0.348902i | \(-0.113445\pi\) | |||||||
\(522\) | 0.905434 | − | 0.863329i | 0.0396298 | − | 0.0377869i | ||||
\(523\) | 15.7082 | − | 12.3531i | 0.686871 | − | 0.540162i | −0.212601 | − | 0.977139i | \(-0.568193\pi\) |
0.899472 | + | 0.436977i | \(0.143951\pi\) | |||||||
\(524\) | −20.8986 | − | 9.54407i | −0.912959 | − | 0.416935i | ||||
\(525\) | −2.14218 | + | 12.6809i | −0.0934925 | + | 0.553439i | ||||
\(526\) | −1.96970 | + | 3.06491i | −0.0858831 | + | 0.133637i | ||||
\(527\) | 16.5799 | + | 5.73835i | 0.722231 | + | 0.249966i | ||||
\(528\) | −3.24334 | + | 5.61763i | −0.141148 | + | 0.244476i | ||||
\(529\) | 22.8373 | − | 2.73121i | 0.992924 | − | 0.118748i | ||||
\(530\) | −0.0323035 | + | 0.0186504i | −0.00140317 | + | 0.000810122i | ||||
\(531\) | 9.86962 | − | 8.55207i | 0.428305 | − | 0.371128i | ||||
\(532\) | 7.31377 | + | 15.0848i | 0.317092 | + | 0.654010i | ||||
\(533\) | −2.73802 | + | 19.0433i | −0.118597 | + | 0.824859i | ||||
\(534\) | −0.0687679 | − | 0.720170i | −0.00297588 | − | 0.0311648i | ||||
\(535\) | −0.369442 | + | 0.922821i | −0.0159724 | + | 0.0398970i | ||||
\(536\) | −1.28321 | − | 1.34579i | −0.0554262 | − | 0.0581294i | ||||
\(537\) | −2.63601 | + | 5.11315i | −0.113752 | + | 0.220649i | ||||
\(538\) | 2.35863 | − | 1.07715i | 0.101688 | − | 0.0464392i | ||||
\(539\) | −2.79928 | − | 11.6148i | −0.120573 | − | 0.500286i | ||||
\(540\) | 0.554452 | + | 0.480435i | 0.0238598 | + | 0.0206746i | ||||
\(541\) | 5.57122 | + | 1.07376i | 0.239525 | + | 0.0461647i | 0.307601 | − | 0.951515i | \(-0.400474\pi\) |
−0.0680757 | + | 0.997680i | \(0.521686\pi\) | |||||||
\(542\) | −1.09982 | − | 0.266815i | −0.0472415 | − | 0.0114607i | ||||
\(543\) | 0.859635 | − | 9.00251i | 0.0368905 | − | 0.386335i | ||||
\(544\) | 6.13576 | + | 3.16320i | 0.263068 | + | 0.135621i | ||||
\(545\) | −1.92440 | + | 6.55389i | −0.0824320 | + | 0.280738i | ||||
\(546\) | 0.385776 | − | 0.899008i | 0.0165097 | − | 0.0384740i | ||||
\(547\) | −4.77856 | + | 10.4636i | −0.204317 | + | 0.447391i | −0.983856 | − | 0.178962i | \(-0.942726\pi\) |
0.779539 | + | 0.626353i | \(0.215453\pi\) | |||||||
\(548\) | −13.9303 | − | 34.7961i | −0.595072 | − | 1.48642i | ||||
\(549\) | 8.23463 | − | 4.24525i | 0.351446 | − | 0.181183i | ||||
\(550\) | −0.287060 | − | 1.48941i | −0.0122403 | − | 0.0635087i | ||||
\(551\) | −11.0237 | − | 19.0935i | −0.469624 | − | 0.813412i | ||||
\(552\) | 3.11013 | + | 1.55676i | 0.132376 | + | 0.0662602i | ||||
\(553\) | −26.9269 | − | 0.661201i | −1.14505 | − | 0.0281171i | ||||
\(554\) | −0.356153 | − | 0.411022i | −0.0151315 | − | 0.0174627i | ||||
\(555\) | 0.0123152 | − | 0.258529i | 0.000522753 | − | 0.0109739i | ||||
\(556\) | 13.7592 | − | 17.4962i | 0.583520 | − | 0.742005i | ||||
\(557\) | −21.9339 | + | 15.6190i | −0.929368 | + | 0.661800i | −0.941099 | − | 0.338131i | \(-0.890205\pi\) |
0.0117308 | + | 0.999931i | \(0.496266\pi\) | |||||||
\(558\) | 0.616220 | + | 0.783587i | 0.0260867 | + | 0.0331719i | ||||
\(559\) | 14.8757 | + | 4.36789i | 0.629174 | + | 0.184742i | ||||
\(560\) | −1.80024 | + | 3.29101i | −0.0760738 | + | 0.139071i | ||||
\(561\) | 2.28150 | + | 4.99578i | 0.0963249 | + | 0.210922i | ||||
\(562\) | −1.44840 | + | 1.51904i | −0.0610969 | + | 0.0640766i | ||||
\(563\) | 1.21062 | + | 3.49786i | 0.0510216 | + | 0.147417i | 0.967633 | − | 0.252363i | \(-0.0812077\pi\) |
−0.916611 | + | 0.399780i | \(0.869086\pi\) | |||||||
\(564\) | −5.87119 | − | 16.9637i | −0.247222 | − | 0.714300i | ||||
\(565\) | −1.30282 | + | 1.36636i | −0.0548099 | + | 0.0574830i | ||||
\(566\) | −1.79651 | − | 3.93380i | −0.0755128 | − | 0.165350i | ||||
\(567\) | 1.26972 | − | 2.32117i | 0.0533231 | − | 0.0974799i | ||||
\(568\) | −5.21828 | − | 1.53222i | −0.218954 | − | 0.0642907i | ||||
\(569\) | 9.25957 | + | 11.7745i | 0.388181 | + | 0.493613i | 0.940392 | − | 0.340092i | \(-0.110458\pi\) |
−0.552211 | + | 0.833704i | \(0.686216\pi\) | |||||||
\(570\) | −0.179013 | + | 0.127474i | −0.00749801 | + | 0.00533931i | ||||
\(571\) | −25.6630 | + | 32.6332i | −1.07396 | + | 1.36565i | −0.147589 | + | 0.989049i | \(0.547151\pi\) |
−0.926373 | + | 0.376606i | \(0.877091\pi\) | |||||||
\(572\) | 0.322994 | − | 6.78047i | 0.0135050 | − | 0.283506i | ||||
\(573\) | −0.00682051 | − | 0.00787129i | −0.000284931 | − | 0.000328828i | ||||
\(574\) | 4.60031 | + | 0.112962i | 0.192013 | + | 0.00471495i | ||||
\(575\) | 22.5875 | − | 5.76547i | 0.941964 | − | 0.240437i | ||||
\(576\) | −3.60444 | − | 6.24308i | −0.150185 | − | 0.260128i | ||||
\(577\) | 2.06002 | + | 10.6884i | 0.0857597 | + | 0.444964i | 0.999272 | + | 0.0381524i | \(0.0121472\pi\) |
−0.913512 | + | 0.406811i | \(0.866641\pi\) | |||||||
\(578\) | −1.07995 | + | 0.556753i | −0.0449200 | + | 0.0231579i | ||||
\(579\) | −4.02727 | − | 10.0596i | −0.167368 | − | 0.418065i | ||||
\(580\) | 2.08543 | − | 4.56647i | 0.0865930 | − | 0.189612i | ||||
\(581\) | 8.18344 | − | 19.0706i | 0.339506 | − | 0.791180i | ||||
\(582\) | −0.671270 | + | 2.28614i | −0.0278251 | + | 0.0947634i | ||||
\(583\) | 0.829641 | + | 0.427710i | 0.0343602 | + | 0.0177139i | ||||
\(584\) | 0.247348 | − | 2.59035i | 0.0102353 | − | 0.107189i | ||||
\(585\) | −0.733203 | − | 0.177873i | −0.0303142 | − | 0.00735415i | ||||
\(586\) | 5.04949 | + | 0.973210i | 0.208593 | + | 0.0402029i | ||||
\(587\) | 9.97292 | + | 8.64158i | 0.411626 | + | 0.356676i | 0.835923 | − | 0.548847i | \(-0.184933\pi\) |
−0.424296 | + | 0.905523i | \(0.639479\pi\) | |||||||
\(588\) | 13.2026 | + | 3.89815i | 0.544464 | + | 0.160757i | ||||
\(589\) | 15.9801 | − | 7.29786i | 0.658448 | − | 0.300703i | ||||
\(590\) | −0.408157 | + | 0.791715i | −0.0168036 | + | 0.0325944i | ||||
\(591\) | −14.9046 | − | 15.6315i | −0.613093 | − | 0.642993i | ||||
\(592\) | −0.979989 | + | 2.44789i | −0.0402773 | + | 0.100608i | ||||
\(593\) | 1.57417 | + | 16.4855i | 0.0646434 | + | 0.676977i | 0.968479 | + | 0.249096i | \(0.0801335\pi\) |
−0.903835 | + | 0.427880i | \(0.859260\pi\) | |||||||
\(594\) | −0.0444093 | + | 0.308874i | −0.00182214 | + | 0.0126732i | ||||
\(595\) | 1.38561 | + | 2.85786i | 0.0568046 | + | 0.117161i | ||||
\(596\) | −1.53023 | + | 1.32595i | −0.0626806 | + | 0.0543130i | ||||
\(597\) | −7.79003 | + | 4.49758i | −0.318825 | + | 0.184074i | ||||
\(598\) | −1.77316 | + | 0.0211275i | −0.0725100 | + | 0.000863968i | ||||
\(599\) | 19.0810 | − | 33.0492i | 0.779627 | − | 1.35035i | −0.152529 | − | 0.988299i | \(-0.548742\pi\) |
0.932157 | − | 0.362055i | \(-0.117925\pi\) | |||||||
\(600\) | 3.33125 | + | 1.15296i | 0.135998 | + | 0.0470692i | ||||
\(601\) | −13.2204 | + | 20.5713i | −0.539270 | + | 0.839120i | −0.998797 | − | 0.0490440i | \(-0.984383\pi\) |
0.459527 | + | 0.888164i | \(0.348019\pi\) | |||||||
\(602\) | 0.617679 | − | 3.65642i | 0.0251747 | − | 0.149025i | ||||
\(603\) | 2.33239 | + | 1.06516i | 0.0949821 | + | 0.0433769i | ||||
\(604\) | −4.51899 | + | 3.55377i | −0.183875 | + | 0.144601i | ||||
\(605\) | −2.18343 | + | 2.08189i | −0.0887689 | + | 0.0846410i | ||||
\(606\) | 0.00340143 | + | 0.0714049i | 0.000138174 | + | 0.00290063i | ||||
\(607\) | 31.2882 | + | 22.2803i | 1.26995 | + | 0.904328i | 0.998312 | − | 0.0580718i | \(-0.0184952\pi\) |
0.271638 | + | 0.962399i | \(0.412435\pi\) | |||||||
\(608\) | 6.63213 | − | 1.94737i | 0.268968 | − | 0.0789763i | ||||
\(609\) | −17.6875 | − | 3.86158i | −0.716734 | − | 0.156479i | ||||
\(610\) | −0.413806 | + | 0.477557i | −0.0167545 | + | 0.0193357i | ||||
\(611\) | 13.3605 | + | 12.7392i | 0.540509 | + | 0.515374i | ||||
\(612\) | −6.29944 | − | 0.601523i | −0.254640 | − | 0.0243151i | ||||
\(613\) | −12.2678 | + | 0.584388i | −0.495493 | + | 0.0236032i | −0.293841 | − | 0.955854i | \(-0.594934\pi\) |
−0.201651 | + | 0.979457i | \(0.564631\pi\) | |||||||
\(614\) | −5.33031 | + | 1.29312i | −0.215114 | + | 0.0521860i | ||||
\(615\) | −0.505063 | − | 3.51279i | −0.0203661 | − | 0.141649i | ||||
\(616\) | −3.26666 | + | 0.231172i | −0.131617 | + | 0.00931419i | ||||
\(617\) | 34.1655 | + | 4.91225i | 1.37545 | + | 0.197760i | 0.790079 | − | 0.613006i | \(-0.210040\pi\) |
0.585371 | + | 0.810765i | \(0.300949\pi\) | |||||||
\(618\) | 2.54850 | + | 0.121400i | 0.102516 | + | 0.00488342i | ||||
\(619\) | 36.0860 | − | 6.95501i | 1.45042 | − | 0.279545i | 0.597618 | − | 0.801781i | \(-0.296114\pi\) |
0.852801 | + | 0.522236i | \(0.174902\pi\) | |||||||
\(620\) | 3.46420 | + | 2.00006i | 0.139126 | + | 0.0803242i | ||||
\(621\) | −4.77921 | − | 0.398960i | −0.191783 | − | 0.0160097i | ||||
\(622\) | − | 0.135039i | − | 0.00541457i | ||||||
\(623\) | −8.07787 | + | 6.65946i | −0.323633 | + | 0.266806i | ||||
\(624\) | 6.46607 | + | 4.15549i | 0.258850 | + | 0.166353i | ||||
\(625\) | 21.2891 | − | 8.52289i | 0.851566 | − | 0.340915i | ||||
\(626\) | −2.51012 | − | 3.52497i | −0.100325 | − | 0.140886i | ||||
\(627\) | 5.10532 | + | 2.04386i | 0.203887 | + | 0.0816239i | ||||
\(628\) | 2.53919 | + | 10.4667i | 0.101325 | + | 0.417665i | ||||
\(629\) | 1.20697 | + | 1.87808i | 0.0481251 | + | 0.0748841i | ||||
\(630\) | −0.0215582 | + | 0.179165i | −0.000858897 | + | 0.00713809i | ||||
\(631\) | 5.14290 | + | 17.5151i | 0.204736 | + | 0.697266i | 0.996282 | + | 0.0861561i | \(0.0274584\pi\) |
−0.791546 | + | 0.611110i | \(0.790723\pi\) | |||||||
\(632\) | −1.39724 | + | 7.24959i | −0.0555794 | + | 0.288373i | ||||
\(633\) | −13.8809 | + | 4.80423i | −0.551716 | + | 0.190951i | ||||
\(634\) | 0.247140 | − | 1.01873i | 0.00981519 | − | 0.0404588i | ||||
\(635\) | 3.92512 | − | 5.51206i | 0.155764 | − | 0.218739i | ||||
\(636\) | −0.904754 | + | 0.581450i | −0.0358758 | + | 0.0230560i | ||||
\(637\) | −13.9050 | + | 2.65832i | −0.550935 | + | 0.105327i | ||||
\(638\) | 2.11354 | − | 0.303881i | 0.0836757 | − | 0.0120307i | ||||
\(639\) | 7.46535 | − | 0.712854i | 0.295324 | − | 0.0282001i | ||||
\(640\) | 1.64467 | + | 1.29338i | 0.0650114 | + | 0.0511255i | ||||
\(641\) | −12.9161 | − | 25.0537i | −0.510155 | − | 0.989563i | −0.993468 | − | 0.114115i | \(-0.963597\pi\) |
0.483312 | − | 0.875448i | \(-0.339434\pi\) | |||||||
\(642\) | 0.159334 | − | 0.460366i | 0.00628842 | − | 0.0181692i | ||||
\(643\) | −42.8154 | −1.68847 | −0.844237 | − | 0.535969i | \(-0.819946\pi\) | ||||
−0.844237 | + | 0.535969i | \(0.819946\pi\) | |||||||
\(644\) | −3.23882 | − | 24.7419i | −0.127627 | − | 0.974969i | ||||
\(645\) | −2.85985 | −0.112607 | ||||||||
\(646\) | 0.619979 | − | 1.79131i | 0.0243928 | − | 0.0704782i | ||||
\(647\) | −13.5656 | − | 26.3135i | −0.533318 | − | 1.03449i | −0.989490 | − | 0.144601i | \(-0.953810\pi\) |
0.456172 | − | 0.889891i | \(-0.349220\pi\) | |||||||
\(648\) | −0.570054 | − | 0.448296i | −0.0223939 | − | 0.0176107i | ||||
\(649\) | 22.1884 | − | 2.11874i | 0.870972 | − | 0.0831678i | ||||
\(650\) | −1.77903 | + | 0.255786i | −0.0697792 | + | 0.0100327i | ||||
\(651\) | 4.40273 | − | 13.7374i | 0.172556 | − | 0.538410i | ||||
\(652\) | 5.89328 | − | 3.78738i | 0.230799 | − | 0.148325i | ||||
\(653\) | 16.4980 | − | 23.1682i | 0.645616 | − | 0.906641i | −0.353975 | − | 0.935255i | \(-0.615170\pi\) |
0.999591 | + | 0.0286143i | \(0.00910947\pi\) | |||||||
\(654\) | 0.789221 | − | 3.25321i | 0.0308610 | − | 0.127211i | ||||
\(655\) | −4.11860 | + | 1.42546i | −0.160927 | + | 0.0556973i | ||||
\(656\) | −6.84235 | + | 35.5015i | −0.267149 | + | 1.38610i | ||||
\(657\) | 1.01088 | + | 3.44276i | 0.0394383 | + | 0.134315i | ||||
\(658\) | 2.64874 | − | 3.53277i | 0.103259 | − | 0.137722i | ||||
\(659\) | 7.85244 | + | 12.2186i | 0.305888 | + | 0.475970i | 0.959833 | − | 0.280571i | \(-0.0905239\pi\) |
−0.653946 | + | 0.756542i | \(0.726887\pi\) | |||||||
\(660\) | 0.295209 | + | 1.21687i | 0.0114910 | + | 0.0473665i | ||||
\(661\) | 27.4465 | + | 10.9879i | 1.06755 | + | 0.427381i | 0.837861 | − | 0.545883i | \(-0.183806\pi\) |
0.229686 | + | 0.973265i | \(0.426230\pi\) | |||||||
\(662\) | −2.76294 | − | 3.88001i | −0.107385 | − | 0.150801i | ||||
\(663\) | 6.04157 | − | 2.41868i | 0.234635 | − | 0.0939337i | ||||
\(664\) | −4.78528 | − | 3.07531i | −0.185705 | − | 0.119345i | ||||
\(665\) | 2.97884 | + | 1.11360i | 0.115514 | + | 0.0431834i | ||||
\(666\) | 0.126845i | 0.00491515i | ||||||||
\(667\) | 6.59405 | + | 32.1472i | 0.255322 | + | 1.24474i | ||||
\(668\) | 35.9761 | + | 20.7708i | 1.39196 | + | 0.803648i | ||||
\(669\) | 7.42126 | − | 1.43033i | 0.286922 | − | 0.0552998i | ||||
\(670\) | −0.174690 | − | 0.00832149i | −0.00674885 | − | 0.000321487i | ||||
\(671\) | 15.6515 | + | 2.25034i | 0.604218 | + | 0.0868735i | ||||
\(672\) | 2.48387 | − | 5.10352i | 0.0958175 | − | 0.196873i | ||||
\(673\) | 1.24631 | + | 8.66829i | 0.0480418 | + | 0.334138i | 0.999641 | + | 0.0267960i | \(0.00853045\pi\) |
−0.951599 | + | 0.307342i | \(0.900560\pi\) | |||||||
\(674\) | 3.23921 | − | 0.785824i | 0.124770 | − | 0.0302688i | ||||
\(675\) | −4.85532 | + | 0.231288i | −0.186881 | + | 0.00890226i | ||||
\(676\) | 17.4426 | + | 1.66557i | 0.670871 | + | 0.0640604i | ||||
\(677\) | −28.6249 | − | 27.2938i | −1.10014 | − | 1.04899i | −0.998532 | − | 0.0541611i | \(-0.982752\pi\) |
−0.101612 | − | 0.994824i | \(-0.532400\pi\) | |||||||
\(678\) | 0.605908 | − | 0.699256i | 0.0232698 | − | 0.0268547i | ||||
\(679\) | 32.8501 | − | 10.4739i | 1.26067 | − | 0.401951i | ||||
\(680\) | 0.835304 | − | 0.245268i | 0.0320325 | − | 0.00940558i | ||||
\(681\) | 8.39082 | + | 5.97508i | 0.321537 | + | 0.228965i | ||||
\(682\) | 0.0809566 | + | 1.69949i | 0.00309999 | + | 0.0650768i | ||||
\(683\) | 16.1735 | − | 15.4214i | 0.618861 | − | 0.590083i | −0.314396 | − | 0.949292i | \(-0.601802\pi\) |
0.933257 | + | 0.359209i | \(0.116953\pi\) | |||||||
\(684\) | −4.98069 | + | 3.91686i | −0.190441 | + | 0.149765i | ||||
\(685\) | −6.46759 | − | 2.95365i | −0.247114 | − | 0.112853i | ||||
\(686\) | 1.02375 | + | 3.22760i | 0.0390869 | + | 0.123230i | ||||
\(687\) | −2.90893 | + | 4.52638i | −0.110983 | + | 0.172692i | ||||
\(688\) | 27.5326 | + | 9.52913i | 1.04967 | + | 0.363295i | ||||
\(689\) | 0.553007 | − | 0.957836i | 0.0210679 | − | 0.0364906i | ||||
\(690\) | 0.312736 | − | 0.0958893i | 0.0119056 | − | 0.00365044i | ||||
\(691\) | −20.3599 | + | 11.7548i | −0.774526 | + | 0.447173i | −0.834487 | − | 0.551028i | \(-0.814236\pi\) |
0.0599605 | + | 0.998201i | \(0.480903\pi\) | |||||||
\(692\) | −0.815204 | + | 0.706378i | −0.0309894 | + | 0.0268525i | ||||
\(693\) | 4.06329 | − | 1.97006i | 0.154352 | − | 0.0748363i | ||||
\(694\) | 0.889832 | − | 6.18892i | 0.0337776 | − | 0.234928i | ||||
\(695\) | −0.401364 | − | 4.20327i | −0.0152246 | − | 0.159439i | ||||
\(696\) | −1.84434 | + | 4.60695i | −0.0699096 | + | 0.174626i | ||||
\(697\) | 21.1242 | + | 22.1545i | 0.800138 | + | 0.839161i | ||||
\(698\) | −0.452700 | + | 0.878116i | −0.0171350 | + | 0.0332372i | ||||
\(699\) | 21.7215 | − | 9.91988i | 0.821583 | − | 0.375204i | ||||
\(700\) | −6.52751 | − | 24.4343i | −0.246717 | − | 0.923531i | ||||
\(701\) | −21.7860 | − | 18.8777i | −0.822845 | − | 0.712999i | 0.137896 | − | 0.990447i | \(-0.455966\pi\) |
−0.960741 | + | 0.277447i | \(0.910512\pi\) | |||||||
\(702\) | 0.363074 | + | 0.0699769i | 0.0137034 | + | 0.00264111i | ||||
\(703\) | 2.17237 | + | 0.527012i | 0.0819326 | + | 0.0198766i | ||||
\(704\) | 1.16956 | − | 12.2482i | 0.0440795 | − | 0.461622i | ||||
\(705\) | −3.02674 | − | 1.56039i | −0.113994 | − | 0.0587678i | ||||
\(706\) | −1.51378 | + | 5.15545i | −0.0569717 | + | 0.194028i | ||||
\(707\) | 0.828605 | − | 0.619316i | 0.0311629 | − | 0.0232918i | ||||
\(708\) | −10.6688 | + | 23.3614i | −0.400957 | + | 0.877974i | ||||
\(709\) | 16.1705 | + | 40.3919i | 0.607295 | + | 1.51695i | 0.838983 | + | 0.544158i | \(0.183151\pi\) |
−0.231688 | + | 0.972790i | \(0.574425\pi\) | |||||||
\(710\) | −0.454639 | + | 0.234383i | −0.0170623 | + | 0.00879623i | ||||
\(711\) | −1.92667 | − | 9.99652i | −0.0722558 | − | 0.374899i | ||||
\(712\) | 1.43480 | + | 2.48515i | 0.0537714 | + | 0.0931348i | ||||
\(713\) | −25.9988 | + | 2.79555i | −0.973664 | + | 0.104694i | ||||
\(714\) | −0.744946 | − | 1.36670i | −0.0278789 | − | 0.0511476i | ||||
\(715\) | −0.843270 | − | 0.973185i | −0.0315365 | − | 0.0363951i | ||||
\(716\) | 0.538293 | − | 11.3002i | 0.0201170 | − | 0.422307i | ||||
\(717\) | 4.23911 | − | 5.39047i | 0.158313 | − | 0.201311i | ||||
\(718\) | −3.17927 | + | 2.26394i | −0.118649 | + | 0.0844897i | ||||
\(719\) | 22.0400 | + | 28.0262i | 0.821954 | + | 1.04520i | 0.998147 | + | 0.0608439i | \(0.0193792\pi\) |
−0.176193 | + | 0.984356i | \(0.556378\pi\) | |||||||
\(720\) | −1.36039 | − | 0.399448i | −0.0506989 | − | 0.0148865i | ||||
\(721\) | −19.1927 | − | 31.5408i | −0.714772 | − | 1.17464i | ||||
\(722\) | 0.654590 | + | 1.43335i | 0.0243613 | + | 0.0533439i | ||||
\(723\) | 1.62886 | − | 1.70830i | 0.0605781 | − | 0.0635325i | ||||
\(724\) | 5.81678 | + | 16.8065i | 0.216179 | + | 0.624608i | ||||
\(725\) | 10.8787 | + | 31.4319i | 0.404025 | + | 1.16735i | ||||
\(726\) | 1.02031 | − | 1.07007i | 0.0378672 | − | 0.0397140i | ||||
\(727\) | 5.81061 | + | 12.7235i | 0.215504 | + | 0.471887i | 0.986251 | − | 0.165254i | \(-0.0528442\pi\) |
−0.770747 | + | 0.637141i | \(0.780117\pi\) | |||||||
\(728\) | 0.0894340 | + | 3.87940i | 0.00331464 | + | 0.143780i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −0.151283 | − | 0.192372i | −0.00559922 | − | 0.00711999i | ||||
\(731\) | 20.0938 | − | 14.3087i | 0.743197 | − | 0.529228i | ||||
\(732\) | −11.2625 | + | 14.3214i | −0.416272 | + | 0.529333i | ||||
\(733\) | 0.951555 | − | 19.9756i | 0.0351465 | − | 0.737816i | −0.910674 | − | 0.413126i | \(-0.864437\pi\) |
0.945820 | − | 0.324690i | \(-0.105260\pi\) | |||||||
\(734\) | 0.278190 | + | 0.321048i | 0.0102682 | + | 0.0118501i | ||||
\(735\) | 2.32290 | − | 1.19313i | 0.0856815 | − | 0.0440092i | ||||
\(736\) | −10.2819 | − | 0.367067i | −0.378994 | − | 0.0135303i | ||||
\(737\) | 2.18816 | + | 3.79001i | 0.0806020 | + | 0.139607i | ||||
\(738\) | 0.329160 | + | 1.70785i | 0.0121166 | + | 0.0628667i | ||||
\(739\) | −37.4578 | + | 19.3108i | −1.37791 | + | 0.710361i | −0.978468 | − | 0.206398i | \(-0.933826\pi\) |
−0.399440 | + | 0.916759i | \(0.630795\pi\) | |||||||
\(740\) | 0.189173 | + | 0.472532i | 0.00695415 | + | 0.0173706i | ||||
\(741\) | 2.70692 | − | 5.92734i | 0.0994413 | − | 0.217746i | ||||
\(742\) | −0.243103 | − | 0.104319i | −0.00892460 | − | 0.00382966i | ||||
\(743\) | −9.80554 | + | 33.3946i | −0.359730 | + | 1.22513i | 0.558641 | + | 0.829410i | \(0.311323\pi\) |
−0.918371 | + | 0.395720i | \(0.870495\pi\) | |||||||
\(744\) | −3.51457 | − | 1.81189i | −0.128850 | − | 0.0664270i | ||||
\(745\) | −0.0365110 | + | 0.382360i | −0.00133766 | + | 0.0140086i | ||||
\(746\) | −4.98805 | − | 1.21009i | −0.182625 | − | 0.0443045i | ||||
\(747\) | 7.70186 | + | 1.48441i | 0.281796 | + | 0.0543118i | ||||
\(748\) | −8.16255 | − | 7.07289i | −0.298452 | − | 0.258611i | ||||
\(749\) | −6.81086 | + | 1.81949i | −0.248863 | + | 0.0664826i | ||||
\(750\) | 0.611792 | − | 0.279396i | 0.0223395 | − | 0.0102021i | ||||
\(751\) | −10.7293 | + | 20.8119i | −0.391517 | + | 0.759437i | −0.999402 | − | 0.0345885i | \(-0.988988\pi\) |
0.607885 | + | 0.794025i | \(0.292018\pi\) | |||||||
\(752\) | 23.9400 | + | 25.1075i | 0.873001 | + | 0.915578i | ||||
\(753\) | 1.01365 | − | 2.53198i | 0.0369395 | − | 0.0922705i | ||||
\(754\) | −0.240505 | − | 2.51868i | −0.00875867 | − | 0.0917250i | ||||
\(755\) | −0.155205 | + | 1.07947i | −0.00564848 | + | 0.0392860i | ||||
\(756\) | −0.375077 | + | 5.18953i | −0.0136414 | + | 0.188741i | ||||
\(757\) | 18.5763 | − | 16.0964i | 0.675167 | − | 0.585035i | −0.248314 | − | 0.968679i | \(-0.579877\pi\) |
0.923481 | + | 0.383644i | \(0.125331\pi\) | |||||||
\(758\) | −1.14301 | + | 0.659920i | −0.0415162 | + | 0.0239694i | ||||
\(759\) | −6.24953 | − | 5.28620i | −0.226843 | − | 0.191877i | ||||
\(760\) | 0.435850 | − | 0.754915i | 0.0158100 | − | 0.0273836i | ||||
\(761\) | −1.73450 | − | 0.600315i | −0.0628754 | − | 0.0217614i | 0.295449 | − | 0.955358i | \(-0.404531\pi\) |
−0.358325 | + | 0.933597i | \(0.616652\pi\) | |||||||
\(762\) | −1.79293 | + | 2.78986i | −0.0649511 | + | 0.101066i | ||||
\(763\) | −45.4013 | + | 16.8950i | −1.64364 | + | 0.611640i | ||||
\(764\) | 0.0186313 | + | 0.00850864i | 0.000674058 | + | 0.000307832i | ||||
\(765\) | −0.943605 | + | 0.742060i | −0.0341161 | + | 0.0268292i | ||||
\(766\) | 4.55213 | − | 4.34045i | 0.164475 | − | 0.156827i | ||||
\(767\) | −1.25670 | − | 26.3813i | −0.0453768 | − | 0.952575i | ||||
\(768\) | 10.9091 | + | 7.76833i | 0.393648 | + | 0.280315i | ||||
\(769\) | −33.2075 | + | 9.75060i | −1.19749 | + | 0.351616i | −0.818894 | − | 0.573945i | \(-0.805412\pi\) |
−0.378599 | + | 0.925561i | \(0.623594\pi\) | |||||||
\(770\) | −0.207350 | + | 0.227749i | −0.00747236 | + | 0.00820749i | ||||
\(771\) | 19.3803 | − | 22.3660i | 0.697963 | − | 0.805493i | ||||
\(772\) | 15.4224 | + | 14.7052i | 0.555064 | + | 0.529252i | ||||
\(773\) | −23.1336 | − | 2.20899i | −0.832056 | − | 0.0794517i | −0.329671 | − | 0.944096i | \(-0.606938\pi\) |
−0.502385 | + | 0.864644i | \(0.667544\pi\) | |||||||
\(774\) | 1.39999 | − | 0.0666898i | 0.0503216 | − | 0.00239711i | ||||
\(775\) | −25.7560 | + | 6.24834i | −0.925183 | + | 0.224447i | ||||
\(776\) | −1.34501 | − | 9.35476i | −0.0482831 | − | 0.335816i | ||||
\(777\) | 1.52091 | − | 1.02772i | 0.0545623 | − | 0.0368692i | ||||
\(778\) | 4.28783 | + | 0.616497i | 0.153726 | + | 0.0221025i | ||||
\(779\) | 30.6164 | + | 1.45844i | 1.09695 | + | 0.0522541i | ||||
\(780\) | 1.45691 | − | 0.280796i | 0.0521657 | − | 0.0100541i | ||||
\(781\) | 11.0848 | + | 6.39980i | 0.396644 | + | 0.229003i | ||||
\(782\) | −1.71757 | + | 2.23845i | −0.0614202 | + | 0.0800468i | ||||
\(783\) | − | 6.84272i | − | 0.244539i | ||||||
\(784\) | −26.3387 | + | 3.74660i | −0.940670 | + | 0.133807i | ||||
\(785\) | 1.71877 | + | 1.10459i | 0.0613457 | + | 0.0394245i | ||||
\(786\) | 1.98294 | − | 0.793851i | 0.0707293 | − | 0.0283157i | ||||
\(787\) | −5.78719 | − | 8.12697i | −0.206291 | − | 0.289695i | 0.698449 | − | 0.715660i | \(-0.253874\pi\) |
−0.904740 | + | 0.425965i | \(0.859935\pi\) | |||||||
\(788\) | 39.4322 | + | 15.7863i | 1.40471 | + | 0.562363i | ||||
\(789\) | 4.69797 | + | 19.3653i | 0.167252 | + | 0.689423i | ||||
\(790\) | 0.375407 | + | 0.584145i | 0.0133564 | + | 0.0207829i | ||||
\(791\) | −13.2934 | − | 1.59954i | −0.472659 | − | 0.0568732i | ||||
\(792\) | −0.348720 | − | 1.18763i | −0.0123912 | − | 0.0422006i | ||||
\(793\) | 3.54592 | − | 18.3980i | 0.125919 | − | 0.653331i | ||||
\(794\) | −1.20876 | + | 0.418356i | −0.0428973 | + | 0.0148469i | ||||
\(795\) | −0.0480992 | + | 0.198268i | −0.00170590 | + | 0.00703182i | ||||
\(796\) | 10.2610 | − | 14.4095i | 0.363691 | − | 0.510733i | ||||
\(797\) | 14.1899 | − | 9.11928i | 0.502631 | − | 0.323021i | −0.264637 | − | 0.964348i | \(-0.585252\pi\) |
0.767268 | + | 0.641327i | \(0.221616\pi\) | |||||||
\(798\) | −1.48420 | − | 0.475676i | −0.0525402 | − | 0.0168388i | ||||
\(799\) | 29.0735 | − | 4.18014i | 1.02855 | − | 0.147883i | ||||
\(800\) | −10.3806 | + | 0.991229i | −0.367010 | + | 0.0350452i | ||||
\(801\) | −3.11035 | − | 2.44600i | −0.109899 | − | 0.0864253i | ||||
\(802\) | 2.78958 | + | 5.41103i | 0.0985034 | + | 0.191070i | ||||
\(803\) | −2.00298 | + | 5.78724i | −0.0706838 | + | 0.204227i | ||||
\(804\) | −5.04249 | −0.177835 | ||||||||
\(805\) | −3.68357 | − | 2.97288i | −0.129829 | − | 0.104780i | ||||
\(806\) | 2.01605 | 0.0710124 | ||||||||
\(807\) | 4.63855 | − | 13.4022i | 0.163285 | − | 0.471780i | ||||
\(808\) | −0.129932 | − | 0.252033i | −0.00457099 | − | 0.00886648i | ||||
\(809\) | 15.3258 | + | 12.0524i | 0.538828 | + | 0.423739i | 0.850131 | − | 0.526572i | \(-0.176523\pi\) |
−0.311303 | + | 0.950311i | \(0.600765\pi\) | |||||||
\(810\) | −0.0678975 | + | 0.00648343i | −0.00238568 | + | 0.000227804i | ||||
\(811\) | −23.7521 | + | 3.41504i | −0.834050 | + | 0.119918i | −0.546092 | − | 0.837725i | \(-0.683885\pi\) |
−0.287957 | + | 0.957643i | \(0.592976\pi\) | |||||||
\(812\) | 34.7951 | − | 7.54187i | 1.22107 | − | 0.264668i | ||||
\(813\) | −5.20738 | + | 3.34658i | −0.182631 | + | 0.117370i | ||||
\(814\) | −0.125580 | + | 0.176352i | −0.00440157 | + | 0.00618114i | ||||
\(815\) | 0.313302 | − | 1.29145i | 0.0109745 | − | 0.0452375i | ||||
\(816\) | 11.5569 | − | 3.99989i | 0.404573 | − | 0.140024i | ||||
\(817\) | 4.67449 | − | 24.2536i | 0.163540 | − | 0.848524i | ||||
\(818\) | −0.539417 | − | 1.83708i | −0.0188603 | − | 0.0642321i | ||||
\(819\) | −2.10264 | − | 4.92032i | −0.0734721 | − | 0.171930i | ||||
\(820\) | 3.77324 | + | 5.87128i | 0.131767 | + | 0.205034i | ||||
\(821\) | −4.56534 | − | 18.8186i | −0.159331 | − | 0.656773i | −0.994313 | − | 0.106495i | \(-0.966037\pi\) |
0.834982 | − | 0.550277i | \(-0.185478\pi\) | |||||||
\(822\) | 3.23497 | + | 1.29509i | 0.112832 | + | 0.0451713i | ||||
\(823\) | −13.2546 | − | 18.6135i | −0.462027 | − | 0.648826i | 0.516175 | − | 0.856483i | \(-0.327356\pi\) |
−0.978202 | + | 0.207657i | \(0.933416\pi\) | |||||||
\(824\) | −9.39533 | + | 3.76132i | −0.327302 | + | 0.131032i | ||||
\(825\) | −6.97931 | − | 4.48533i | −0.242988 | − | 0.156159i | ||||
\(826\) | −6.23046 | + | 1.04290i | −0.216785 | + | 0.0362870i | ||||
\(827\) | 4.14021i | 0.143969i | 0.997406 | + | 0.0719846i | \(0.0229333\pi\) | ||||
−0.997406 | + | 0.0719846i | \(0.977067\pi\) | |||||||
\(828\) | 8.87525 | − | 3.19066i | 0.308436 | − | 0.110883i | ||||
\(829\) | 27.9751 | + | 16.1514i | 0.971616 | + | 0.560963i | 0.899729 | − | 0.436450i | \(-0.143764\pi\) |
0.0718875 | + | 0.997413i | \(0.477098\pi\) | |||||||
\(830\) | −0.525316 | + | 0.101246i | −0.0182340 | + | 0.00351431i | ||||
\(831\) | −2.97130 | − | 0.141540i | −0.103073 | − | 0.00490998i | ||||
\(832\) | −14.4308 | − | 2.07484i | −0.500300 | − | 0.0719322i | ||||
\(833\) | −10.3515 | + | 20.0053i | −0.358658 | + | 0.693143i | ||||
\(834\) | 0.294498 | + | 2.04828i | 0.0101976 | + | 0.0709260i | ||||
\(835\) | 7.65829 | − | 1.85788i | 0.265026 | − | 0.0642946i | ||||
\(836\) | −10.8024 | + | 0.514582i | −0.373609 | + | 0.0177972i | ||||
\(837\) | 5.42769 | + | 0.518282i | 0.187609 | + | 0.0179144i | ||||
\(838\) | −0.470388 | − | 0.448514i | −0.0162493 | − | 0.0154936i | ||||
\(839\) | −25.8642 | + | 29.8488i | −0.892930 | + | 1.03050i | 0.106415 | + | 0.994322i | \(0.466063\pi\) |
−0.999345 | + | 0.0361746i | \(0.988483\pi\) | |||||||
\(840\) | −0.217438 | − | 0.681971i | −0.00750234 | − | 0.0235302i | ||||
\(841\) | −17.1008 | + | 5.02126i | −0.589684 | + | 0.173147i | ||||
\(842\) | 2.99639 | + | 2.13372i | 0.103263 | + | 0.0735329i | ||||
\(843\) | 0.546238 | + | 11.4669i | 0.0188134 | + | 0.394942i | ||||
\(844\) | 20.9062 | − | 19.9340i | 0.719620 | − | 0.686157i | ||||
\(845\) | 2.61277 | − | 2.05470i | 0.0898819 | − | 0.0706839i | ||||
\(846\) | 1.51807 | + | 0.693281i | 0.0521924 | + | 0.0238355i | ||||
\(847\) | −21.0971 | − | 3.56394i | −0.724905 | − | 0.122458i | ||||
\(848\) | 1.12370 | − | 1.74851i | 0.0385879 | − | 0.0600440i | ||||
\(849\) | −22.3527 | − | 7.73634i | −0.767142 | − | 0.265510i | ||||
\(850\) | −1.42986 | + | 2.47658i | −0.0490436 | + | 0.0849461i | ||||
\(851\) | −2.82032 | − | 1.76539i | −0.0966793 | − | 0.0605167i | ||||
\(852\) | −12.7721 | + | 7.37396i | −0.437564 | + | 0.252628i | ||||
\(853\) | −5.16754 | + | 4.47770i | −0.176933 | + | 0.153313i | −0.738825 | − | 0.673897i | \(-0.764619\pi\) |
0.561892 | + | 0.827211i | \(0.310074\pi\) | |||||||
\(854\) | −4.46982 | − | 0.323059i | −0.152954 | − | 0.0110549i | ||||
\(855\) | −0.171062 | + | 1.18976i | −0.00585019 | + | 0.0406890i | ||||
\(856\) | 0.183682 | + | 1.92360i | 0.00627811 | + | 0.0657474i | ||||
\(857\) | −7.00018 | + | 17.4856i | −0.239122 | + | 0.597297i | −0.998581 | − | 0.0532580i | \(-0.983039\pi\) |
0.759459 | + | 0.650555i | \(0.225464\pi\) | |||||||
\(858\) | 0.435502 | + | 0.456741i | 0.0148678 | + | 0.0155929i | ||||
\(859\) | −21.6320 | + | 41.9602i | −0.738074 | + | 1.43166i | 0.157852 | + | 0.987463i | \(0.449543\pi\) |
−0.895927 | + | 0.444202i | \(0.853487\pi\) | |||||||
\(860\) | 5.11587 | − | 2.33634i | 0.174450 | − | 0.0796686i | ||||
\(861\) | 17.8106 | − | 17.7839i | 0.606985 | − | 0.606074i | ||||
\(862\) | 2.97065 | + | 2.57409i | 0.101181 | + | 0.0876737i | ||||
\(863\) | −4.11160 | − | 0.792445i | −0.139960 | − | 0.0269751i | 0.118790 | − | 0.992919i | \(-0.462099\pi\) |
−0.258750 | + | 0.965944i | \(0.583311\pi\) | |||||||
\(864\) | 2.08481 | + | 0.505769i | 0.0709266 | + | 0.0172066i | ||||
\(865\) | −0.0194506 | + | 0.203696i | −0.000661341 | + | 0.00692588i | ||||
\(866\) | 1.64805 | + | 0.849630i | 0.0560031 | + | 0.0288716i | ||||
\(867\) | −1.87228 | + | 6.37639i | −0.0635859 | + | 0.216554i | ||||
\(868\) | 3.34681 | + | 28.1710i | 0.113598 | + | 0.956185i | ||||
\(869\) | 7.21816 | − | 15.8056i | 0.244859 | − | 0.536167i | ||||
\(870\) | 0.173461 | + | 0.433285i | 0.00588088 | + | 0.0146897i | ||||
\(871\) | 4.60917 | − | 2.37619i | 0.156176 | − | 0.0805142i | ||||
\(872\) | 2.51295 | + | 13.0384i | 0.0850994 | + | 0.441538i | ||||
\(873\) | 6.51601 | + | 11.2861i | 0.220533 | + | 0.381975i | ||||
\(874\) | 0.302035 | + | 2.80895i | 0.0102165 | + | 0.0950141i | ||||
\(875\) | −8.30686 | − | 5.07185i | −0.280823 | − | 0.171460i | ||||
\(876\) | −4.62087 | − | 5.33276i | −0.156125 | − | 0.180177i | ||||
\(877\) | 0.901929 | − | 18.9338i | 0.0304560 | − | 0.639350i | −0.931104 | − | 0.364754i | \(-0.881153\pi\) |
0.961560 | − | 0.274596i | \(-0.0885439\pi\) | |||||||
\(878\) | 0.895895 | − | 1.13922i | 0.0302350 | − | 0.0384469i | ||||
\(879\) | 22.9113 | − | 16.3151i | 0.772780 | − | 0.550294i | ||||
\(880\) | −1.49588 | − | 1.90217i | −0.0504263 | − | 0.0641222i | ||||
\(881\) | −10.0597 | − | 2.95379i | −0.338919 | − | 0.0995157i | 0.107844 | − | 0.994168i | \(-0.465605\pi\) |
−0.446763 | + | 0.894652i | \(0.647423\pi\) | |||||||
\(882\) | −1.10931 | + | 0.638243i | −0.0373524 | + | 0.0214908i | ||||
\(883\) | 7.98174 | + | 17.4776i | 0.268607 | + | 0.588167i | 0.995085 | − | 0.0990223i | \(-0.0315715\pi\) |
−0.726478 | + | 0.687189i | \(0.758844\pi\) | |||||||
\(884\) | −8.83158 | + | 9.26229i | −0.297038 | + | 0.311525i | ||||
\(885\) | 1.59344 | + | 4.60395i | 0.0535630 | + | 0.154760i | ||||
\(886\) | −0.142918 | − | 0.412935i | −0.00480143 | − | 0.0138728i | ||||
\(887\) | 13.9519 | − | 14.6323i | 0.468459 | − | 0.491305i | −0.446539 | − | 0.894764i | \(-0.647344\pi\) |
0.914998 | + | 0.403459i | \(0.132192\pi\) | |||||||
\(888\) | −0.209012 | − | 0.457673i | −0.00701399 | − | 0.0153585i | ||||
\(889\) | 47.9778 | − | 1.10606i | 1.60912 | − | 0.0370960i | ||||
\(890\) | 0.258955 | + | 0.0760359i | 0.00868018 | + | 0.00254873i | ||||
\(891\) | 1.05506 | + | 1.34161i | 0.0353457 | + | 0.0449457i | ||||
\(892\) | −12.1071 | + | 8.62141i | −0.405375 | + | 0.288666i | ||||
\(893\) | 18.1805 | − | 23.1184i | 0.608387 | − | 0.773627i | ||||
\(894\) | 0.00895693 | − | 0.188029i | 0.000299565 | − | 0.00628863i | ||||
\(895\) | −1.40537 | − | 1.62189i | −0.0469765 | − | 0.0542137i | ||||
\(896\) | −0.364264 | + | 14.8344i | −0.0121692 | + | 0.495582i | ||||
\(897\) | −6.60902 | + | 7.09880i | −0.220669 | + | 0.237022i | ||||
\(898\) | 1.38566 | + | 2.40004i | 0.0462402 | + | 0.0800904i | ||||
\(899\) | −7.06080 | − | 36.6349i | −0.235491 | − | 1.22184i | ||||
\(900\) | 8.49653 | − | 4.38027i | 0.283218 | − | 0.146009i | ||||
\(901\) | −0.654041 | − | 1.63372i | −0.0217893 | − | 0.0544270i | ||||
\(902\) | −1.23318 | + | 2.70029i | −0.0410604 | + | 0.0899097i | ||||
\(903\) | −12.1425 | − | 16.2459i | −0.404078 | − | 0.540631i | ||||
\(904\) | −1.03398 | + | 3.52140i | −0.0343895 | + | 0.117120i | ||||
\(905\) | 2.99869 | + | 1.54593i | 0.0996799 | + | 0.0513885i | ||||
\(906\) | 0.0508051 | − | 0.532056i | 0.00168789 | − | 0.0176764i | ||||
\(907\) | 5.74251 | + | 1.39312i | 0.190677 | + | 0.0462577i | 0.329960 | − | 0.943995i | \(-0.392965\pi\) |
−0.139283 | + | 0.990253i | \(0.544480\pi\) | |||||||
\(908\) | −19.8913 | − | 3.83373i | −0.660116 | − | 0.127227i | ||||
\(909\) | 0.295494 | + | 0.256047i | 0.00980093 | + | 0.00849255i | ||||
\(910\) | 0.257869 | + | 0.258256i | 0.00854828 | + | 0.00856112i | ||||
\(911\) | 5.00606 | − | 2.28619i | 0.165858 | − | 0.0757449i | −0.330756 | − | 0.943716i | \(-0.607304\pi\) |
0.496614 | + | 0.867971i | \(0.334576\pi\) | |||||||
\(912\) | 5.61118 | − | 10.8842i | 0.185805 | − | 0.360411i | ||||
\(913\) | 9.23825 | + | 9.68880i | 0.305742 | + | 0.320653i | ||||
\(914\) | −1.66804 | + | 4.16655i | −0.0551737 | + | 0.137817i | ||||
\(915\) | 0.328533 | + | 3.44055i | 0.0108610 | + | 0.113741i | ||||
\(916\) | 1.50586 | − | 10.4735i | 0.0497550 | − | 0.346054i | ||||
\(917\) | −25.5846 | − | 17.3441i | −0.844877 | − | 0.572754i | ||||
\(918\) | 0.444621 | − | 0.385266i | 0.0146747 | − | 0.0127157i | ||||
\(919\) | 48.2063 | − | 27.8319i | 1.59018 | − | 0.918091i | 0.596905 | − | 0.802312i | \(-0.296397\pi\) |
0.993275 | − | 0.115778i | \(-0.0369362\pi\) | |||||||
\(920\) | −0.970385 | + | 0.861298i | −0.0319926 | + | 0.0283962i | ||||
\(921\) | −15.0000 | + | 25.9807i | −0.494267 | + | 0.856095i | ||||
\(922\) | −4.41589 | − | 1.52835i | −0.145430 | − | 0.0503337i | ||||
\(923\) | 8.19967 | − | 12.7589i | 0.269895 | − | 0.419965i | ||||
\(924\) | −5.65922 | + | 6.84363i | −0.186175 | + | 0.225139i | ||||
\(925\) | −3.06762 | − | 1.40093i | −0.100863 | − | 0.0460624i | ||||
\(926\) | −1.10802 | + | 0.871355i | −0.0364117 | + | 0.0286345i | ||||
\(927\) | 10.0997 | − | 9.63000i | 0.331716 | − | 0.316291i | ||||
\(928\) | −0.698481 | − | 14.6629i | −0.0229288 | − | 0.481334i | ||||
\(929\) | −14.5639 | − | 10.3709i | −0.477825 | − | 0.340258i | 0.315634 | − | 0.948881i | \(-0.397783\pi\) |
−0.793459 | + | 0.608623i | \(0.791722\pi\) | |||||||
\(930\) | −0.356823 | + | 0.104773i | −0.0117007 | + | 0.00343563i | ||||
\(931\) | 6.32173 | + | 21.6500i | 0.207186 | + | 0.709550i | ||||
\(932\) | −30.7527 | + | 35.4905i | −1.00734 | + | 1.16253i | ||||
\(933\) | −0.534551 | − | 0.509693i | −0.0175004 | − | 0.0166866i | ||||
\(934\) | 0.561615 | + | 0.0536277i | 0.0183766 | + | 0.00175475i | ||||
\(935\) | −2.04655 | + | 0.0974890i | −0.0669292 | + | 0.00318823i | ||||
\(936\) | −1.42532 | + | 0.345780i | −0.0465881 | + | 0.0113022i | ||||
\(937\) | −2.24499 | − | 15.6142i | −0.0733405 | − | 0.510095i | −0.993068 | − | 0.117538i | \(-0.962500\pi\) |
0.919728 | − | 0.392557i | \(-0.128409\pi\) | |||||||
\(938\) | −0.694436 | − | 1.02769i | −0.0226741 | − | 0.0335552i | ||||
\(939\) | −23.4278 | − | 3.36841i | −0.764538 | − | 0.109924i | ||||
\(940\) | 6.68916 | + | 0.318644i | 0.218176 | + | 0.0103930i | ||||
\(941\) | 28.8994 | − | 5.56990i | 0.942093 | − | 0.181573i | 0.304993 | − | 0.952355i | \(-0.401346\pi\) |
0.637100 | + | 0.770781i | \(0.280134\pi\) | |||||||
\(942\) | −0.867153 | − | 0.500651i | −0.0282534 | − | 0.0163121i | ||||
\(943\) | −42.5539 | − | 16.4505i | −1.38575 | − | 0.535702i | ||||
\(944\) | − | 49.6329i | − | 1.61541i | ||||||
\(945\) | 0.627853 | + | 0.761580i | 0.0204241 | + | 0.0247742i | ||||
\(946\) | 2.01242 | + | 1.29331i | 0.0654295 | + | 0.0420490i | ||||
\(947\) | 53.9682 | − | 21.6056i | 1.75373 | − | 0.702088i | 0.754795 | − | 0.655961i | \(-0.227736\pi\) |
0.998936 | − | 0.0461266i | \(-0.0146878\pi\) | |||||||
\(948\) | 11.6131 | + | 16.3084i | 0.377177 | + | 0.529671i | ||||
\(949\) | 6.73676 | + | 2.69699i | 0.218685 | + | 0.0875481i | ||||
\(950\) | 0.675079 | + | 2.78271i | 0.0219025 | + | 0.0902832i | ||||
\(951\) | −3.09981 | − | 4.82340i | −0.100518 | − | 0.156409i | ||||
\(952\) | 4.93987 | + | 3.70373i | 0.160102 | + | 0.120039i | ||||
\(953\) | 12.4431 | + | 42.3772i | 0.403071 | + | 1.37273i | 0.872004 | + | 0.489499i | \(0.162820\pi\) |
−0.468933 | + | 0.883234i | \(0.655361\pi\) | |||||||
\(954\) | 0.0189226 | − | 0.0981799i | 0.000612643 | − | 0.00317869i | ||||
\(955\) | 0.00367177 | − | 0.00127081i | 0.000118816 | − | 4.11225e-5i | ||||
\(956\) | −3.17946 | + | 13.1059i | −0.102831 | + | 0.423875i | ||||
\(957\) | 6.77446 | − | 9.51339i | 0.218987 | − | 0.307524i | ||||
\(958\) | −1.45752 | + | 0.936689i | −0.0470902 | + | 0.0302631i | ||||
\(959\) | −10.6817 | − | 49.2811i | −0.344931 | − | 1.59137i | ||||
\(960\) | 2.66196 | − | 0.382731i | 0.0859143 | − | 0.0123526i | ||||
\(961\) | −1.26577 | + | 0.120866i | −0.0408313 | + | 0.00389891i | ||||
\(962\) | 0.201647 | + | 0.158577i | 0.00650138 | + | 0.00511274i | ||||
\(963\) | −1.22096 | − | 2.36833i | −0.0393449 | − | 0.0763185i | ||||
\(964\) | −1.51822 | + | 4.38660i | −0.0488985 | + | 0.141283i | ||||
\(965\) | 4.04239 | 0.130129 | ||||||||
\(966\) | 1.87255 | + | 1.36942i | 0.0602483 | + | 0.0440604i | ||||
\(967\) | −0.0812471 | −0.00261273 | −0.00130637 | − | 0.999999i | \(-0.500416\pi\) | ||||
−0.00130637 | + | 0.999999i | \(0.500416\pi\) | |||||||
\(968\) | −1.91817 | + | 5.54218i | −0.0616522 | + | 0.178132i | ||||
\(969\) | −4.75084 | − | 9.21534i | −0.152619 | − | 0.296039i | ||||
\(970\) | −0.698696 | − | 0.549460i | −0.0224338 | − | 0.0176421i | ||||
\(971\) | −25.8589 | + | 2.46923i | −0.829853 | + | 0.0792414i | −0.501332 | − | 0.865255i | \(-0.667156\pi\) |
−0.328521 | + | 0.944497i | \(0.606550\pi\) | |||||||
\(972\) | −1.94656 | + | 0.279873i | −0.0624358 | + | 0.00897691i | ||||
\(973\) | 22.1733 | − | 20.1265i | 0.710844 | − | 0.645226i | ||||
\(974\) | 3.98176 | − | 2.55892i | 0.127584 | − | 0.0819932i | ||||
\(975\) | −5.70227 | + | 8.00771i | −0.182619 | + | 0.256452i | ||||
\(976\) | 8.30115 | − | 34.2178i | 0.265713 | − | 1.09529i | ||||
\(977\) | 4.20789 | − | 1.45637i | 0.134622 | − | 0.0465933i | −0.258926 | − | 0.965897i | \(-0.583369\pi\) |
0.393548 | + | 0.919304i | \(0.371247\pi\) | |||||||
\(978\) | −0.123256 | + | 0.639512i | −0.00394129 | + | 0.0204493i | ||||
\(979\) | −1.90270 | − | 6.47999i | −0.0608104 | − | 0.207101i | ||||
\(980\) | −3.18062 | + | 4.03202i | −0.101601 | + | 0.128798i | ||||
\(981\) | −9.89898 | − | 15.4031i | −0.316050 | − | 0.491783i | ||||
\(982\) | 1.09586 | + | 4.51721i | 0.0349704 | + | 0.144150i | ||||
\(983\) | −6.43508 | − | 2.57622i | −0.205247 | − | 0.0821685i | 0.266761 | − | 0.963763i | \(-0.414046\pi\) |
−0.472008 | + | 0.881594i | \(0.656471\pi\) | |||||||
\(984\) | −4.00179 | − | 5.61973i | −0.127573 | − | 0.179151i | ||||
\(985\) | 7.48026 | − | 2.99465i | 0.238341 | − | 0.0954174i | ||||
\(986\) | −3.38663 | − | 2.17645i | −0.107852 | − | 0.0693124i | ||||
\(987\) | −3.98701 | − | 23.8192i | −0.126908 | − | 0.758173i | ||||
\(988\) | 12.8146i | 0.407686i | ||||||||
\(989\) | −18.0017 | + | 32.0560i | −0.572422 | + | 1.01932i | ||||
\(990\) | −0.100816 | − | 0.0582063i | −0.00320415 | − | 0.00184992i | ||||
\(991\) | 16.9861 | − | 3.27379i | 0.539580 | − | 0.103995i | 0.0878221 | − | 0.996136i | \(-0.472009\pi\) |
0.451758 | + | 0.892141i | \(0.350797\pi\) | |||||||
\(992\) | 11.6836 | + | 0.556560i | 0.370956 | + | 0.0176708i | ||||
\(993\) | −25.7875 | − | 3.70768i | −0.818341 | − | 0.117660i | ||||
\(994\) | −3.26179 | − | 1.58751i | −0.103458 | − | 0.0503527i | ||||
\(995\) | −0.477567 | − | 3.32155i | −0.0151399 | − | 0.105300i | ||||
\(996\) | −14.9902 | + | 3.63659i | −0.474983 | + | 0.115230i | ||||
\(997\) | −7.24274 | + | 0.345014i | −0.229380 | + | 0.0109267i | −0.161957 | − | 0.986798i | \(-0.551781\pi\) |
−0.0674228 | + | 0.997724i | \(0.521478\pi\) | |||||||
\(998\) | −0.0189792 | − | 0.00181230i | −0.000600778 | − | 5.73673e-5i | ||||
\(999\) | 0.502116 | + | 0.478767i | 0.0158863 | + | 0.0151475i |
(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 | 483.2.bf.a.10.19 | ✓ | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.355.14 | yes | 640 | |
23.7 | odd | 22 | inner | 483.2.bf.a.283.14 | yes | 640 | |
161.145 | even | 66 | inner | 483.2.bf.a.145.19 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.10.19 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.145.19 | yes | 640 | 161.145 | even | 66 | inner | |
483.2.bf.a.283.14 | yes | 640 | 23.7 | odd | 22 | inner | |
483.2.bf.a.355.14 | yes | 640 | 7.5 | odd | 6 | inner |