Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(95,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.o (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 95.4 | ||
Character | \(\chi\) | \(=\) | 252.95 |
Dual form | 252.2.o.a.191.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33435 | + | 0.468511i | −0.943530 | + | 0.331288i | ||||
\(3\) | −0.316645 | + | 1.70286i | −0.182815 | + | 0.983147i | ||||
\(4\) | 1.56099 | − | 1.25032i | 0.780497 | − | 0.625159i | ||||
\(5\) | − | 2.87282i | − | 1.28476i | −0.766385 | − | 0.642382i | \(-0.777946\pi\) | ||
0.766385 | − | 0.642382i | \(-0.222054\pi\) | |||||||
\(6\) | −0.375293 | − | 2.42057i | −0.153213 | − | 0.988193i | ||||
\(7\) | −2.24795 | + | 1.39525i | −0.849646 | + | 0.527353i | ||||
\(8\) | −1.49713 | + | 2.39971i | −0.529315 | + | 0.848425i | ||||
\(9\) | −2.79947 | − | 1.07841i | −0.933157 | − | 0.359469i | ||||
\(10\) | 1.34595 | + | 3.83335i | 0.425626 | + | 1.21221i | ||||
\(11\) | −3.53765 | −1.06664 | −0.533321 | − | 0.845913i | \(-0.679056\pi\) | ||||
−0.533321 | + | 0.845913i | \(0.679056\pi\) | |||||||
\(12\) | 1.63484 | + | 3.05406i | 0.471937 | + | 0.881632i | ||||
\(13\) | −3.15869 | + | 5.47102i | −0.876064 | + | 1.51739i | −0.0204391 | + | 0.999791i | \(0.506506\pi\) |
−0.855625 | + | 0.517596i | \(0.826827\pi\) | |||||||
\(14\) | 2.34587 | − | 2.91494i | 0.626961 | − | 0.779051i | ||||
\(15\) | 4.89201 | + | 0.909664i | 1.26311 | + | 0.234874i | ||||
\(16\) | 0.873407 | − | 3.90348i | 0.218352 | − | 0.975870i | ||||
\(17\) | −3.21678 | − | 1.85721i | −0.780184 | − | 0.450440i | 0.0563112 | − | 0.998413i | \(-0.482066\pi\) |
−0.836496 | + | 0.547974i | \(0.815399\pi\) | |||||||
\(18\) | 4.24073 | + | 0.127390i | 0.999549 | + | 0.0300261i | ||||
\(19\) | 1.82312 | − | 1.05258i | 0.418252 | − | 0.241478i | −0.276077 | − | 0.961136i | \(-0.589034\pi\) |
0.694329 | + | 0.719657i | \(0.255701\pi\) | |||||||
\(20\) | −3.59194 | − | 4.48445i | −0.803182 | − | 1.00275i | ||||
\(21\) | −1.66411 | − | 4.26975i | −0.363137 | − | 0.931736i | ||||
\(22\) | 4.72047 | − | 1.65743i | 1.00641 | − | 0.353365i | ||||
\(23\) | −5.49191 | −1.14514 | −0.572571 | − | 0.819855i | \(-0.694054\pi\) | ||||
−0.572571 | + | 0.819855i | \(0.694054\pi\) | |||||||
\(24\) | −3.61231 | − | 3.30926i | −0.737360 | − | 0.675500i | ||||
\(25\) | −3.25308 | −0.650617 | ||||||||
\(26\) | 1.65158 | − | 8.78015i | 0.323901 | − | 1.72193i | ||||
\(27\) | 2.72282 | − | 4.42564i | 0.524006 | − | 0.851715i | ||||
\(28\) | −1.76454 | + | 4.98863i | −0.333467 | + | 0.942762i | ||||
\(29\) | 2.32201 | − | 1.34061i | 0.431186 | − | 0.248945i | −0.268666 | − | 0.963233i | \(-0.586583\pi\) |
0.699852 | + | 0.714288i | \(0.253249\pi\) | |||||||
\(30\) | −6.95385 | + | 1.07815i | −1.26959 | + | 0.196842i | ||||
\(31\) | −0.222354 | + | 0.128376i | −0.0399360 | + | 0.0230570i | −0.519835 | − | 0.854267i | \(-0.674007\pi\) |
0.479899 | + | 0.877324i | \(0.340673\pi\) | |||||||
\(32\) | 0.663392 | + | 5.61782i | 0.117272 | + | 0.993100i | ||||
\(33\) | 1.12018 | − | 6.02413i | 0.194998 | − | 1.04867i | ||||
\(34\) | 5.16245 | + | 0.971075i | 0.885352 | + | 0.166538i | ||||
\(35\) | 4.00829 | + | 6.45796i | 0.677524 | + | 1.09159i | ||||
\(36\) | −5.71831 | + | 1.81685i | −0.953052 | + | 0.302808i | ||||
\(37\) | −0.720918 | − | 1.24867i | −0.118518 | − | 0.205280i | 0.800662 | − | 0.599116i | \(-0.204481\pi\) |
−0.919181 | + | 0.393836i | \(0.871148\pi\) | |||||||
\(38\) | −1.93954 | + | 2.25866i | −0.314635 | + | 0.366404i | ||||
\(39\) | −8.31620 | − | 7.11119i | −1.33166 | − | 1.13870i | ||||
\(40\) | 6.89393 | + | 4.30098i | 1.09003 | + | 0.680044i | ||||
\(41\) | 5.24333 | + | 3.02724i | 0.818870 | + | 0.472775i | 0.850027 | − | 0.526740i | \(-0.176586\pi\) |
−0.0311565 | + | 0.999515i | \(0.509919\pi\) | |||||||
\(42\) | 4.22093 | + | 4.91770i | 0.651303 | + | 0.758817i | ||||
\(43\) | −4.79832 | + | 2.77031i | −0.731737 | + | 0.422469i | −0.819057 | − | 0.573712i | \(-0.805503\pi\) |
0.0873202 | + | 0.996180i | \(0.472170\pi\) | |||||||
\(44\) | −5.52225 | + | 4.42319i | −0.832511 | + | 0.666821i | ||||
\(45\) | −3.09806 | + | 8.04237i | −0.461832 | + | 1.19889i | ||||
\(46\) | 7.32814 | − | 2.57302i | 1.08048 | − | 0.379371i | ||||
\(47\) | −1.02078 | + | 1.76804i | −0.148896 | + | 0.257895i | −0.930820 | − | 0.365479i | \(-0.880905\pi\) |
0.781924 | + | 0.623374i | \(0.214239\pi\) | |||||||
\(48\) | 6.37052 | + | 2.72331i | 0.919506 | + | 0.393076i | ||||
\(49\) | 3.10658 | − | 6.27289i | 0.443797 | − | 0.896127i | ||||
\(50\) | 4.34076 | − | 1.52411i | 0.613876 | − | 0.215541i | ||||
\(51\) | 4.18115 | − | 4.88966i | 0.585478 | − | 0.684689i | ||||
\(52\) | 1.90981 | + | 12.4896i | 0.264843 | + | 1.73200i | ||||
\(53\) | −1.96139 | − | 1.13241i | −0.269417 | − | 0.155548i | 0.359206 | − | 0.933258i | \(-0.383048\pi\) |
−0.628623 | + | 0.777710i | \(0.716381\pi\) | |||||||
\(54\) | −1.55973 | + | 7.18103i | −0.212253 | + | 0.977215i | ||||
\(55\) | 10.1630i | 1.37038i | ||||||||
\(56\) | 0.0172906 | − | 7.48329i | 0.00231055 | − | 0.999997i | ||||
\(57\) | 1.21511 | + | 3.43781i | 0.160946 | + | 0.455350i | ||||
\(58\) | −2.47028 | + | 2.87673i | −0.324364 | + | 0.377734i | ||||
\(59\) | 3.55424 | + | 6.15612i | 0.462722 | + | 0.801458i | 0.999096 | − | 0.0425227i | \(-0.0135395\pi\) |
−0.536373 | + | 0.843981i | \(0.680206\pi\) | |||||||
\(60\) | 8.77377 | − | 4.69659i | 1.13269 | − | 0.606327i | ||||
\(61\) | −2.83535 | + | 4.91097i | −0.363029 | + | 0.628785i | −0.988458 | − | 0.151496i | \(-0.951591\pi\) |
0.625428 | + | 0.780282i | \(0.284924\pi\) | |||||||
\(62\) | 0.236553 | − | 0.275474i | 0.0300423 | − | 0.0349853i | ||||
\(63\) | 7.79772 | − | 1.48174i | 0.982420 | − | 0.186682i | ||||
\(64\) | −3.51721 | − | 7.18535i | −0.439652 | − | 0.898168i | ||||
\(65\) | 15.7172 | + | 9.07435i | 1.94948 | + | 1.12553i | ||||
\(66\) | 1.32766 | + | 8.56313i | 0.163423 | + | 1.05405i | ||||
\(67\) | 6.36193 | − | 3.67306i | 0.777234 | − | 0.448736i | −0.0582151 | − | 0.998304i | \(-0.518541\pi\) |
0.835449 | + | 0.549568i | \(0.185208\pi\) | |||||||
\(68\) | −7.34348 | + | 1.12291i | −0.890528 | + | 0.136173i | ||||
\(69\) | 1.73899 | − | 9.35196i | 0.209349 | − | 1.12584i | ||||
\(70\) | −8.37409 | − | 6.73927i | −1.00090 | − | 0.805496i | ||||
\(71\) | −9.04391 | −1.07331 | −0.536657 | − | 0.843800i | \(-0.680313\pi\) | ||||
−0.536657 | + | 0.843800i | \(0.680313\pi\) | |||||||
\(72\) | 6.77903 | − | 5.10341i | 0.798916 | − | 0.601442i | ||||
\(73\) | 5.86192 | − | 10.1531i | 0.686085 | − | 1.18833i | −0.287009 | − | 0.957928i | \(-0.592661\pi\) |
0.973094 | − | 0.230407i | \(-0.0740057\pi\) | |||||||
\(74\) | 1.54697 | + | 1.32840i | 0.179832 | + | 0.154424i | ||||
\(75\) | 1.03007 | − | 5.53955i | 0.118943 | − | 0.639652i | ||||
\(76\) | 1.52982 | − | 3.92255i | 0.175482 | − | 0.449947i | ||||
\(77\) | 7.95247 | − | 4.93589i | 0.906268 | − | 0.562497i | ||||
\(78\) | 14.4284 | + | 5.59260i | 1.63370 | + | 0.633237i | ||||
\(79\) | −10.7238 | − | 6.19137i | −1.20652 | − | 0.696584i | −0.244521 | − | 0.969644i | \(-0.578631\pi\) |
−0.961997 | + | 0.273060i | \(0.911964\pi\) | |||||||
\(80\) | −11.2140 | − | 2.50914i | −1.25376 | − | 0.280530i | ||||
\(81\) | 6.67408 | + | 6.03793i | 0.741565 | + | 0.670882i | ||||
\(82\) | −8.41474 | − | 1.58284i | −0.929253 | − | 0.174796i | ||||
\(83\) | 5.49556 | + | 9.51858i | 0.603216 | + | 1.04480i | 0.992331 | + | 0.123611i | \(0.0394475\pi\) |
−0.389115 | + | 0.921189i | \(0.627219\pi\) | |||||||
\(84\) | −7.93621 | − | 4.58439i | −0.865911 | − | 0.500198i | ||||
\(85\) | −5.33543 | + | 9.24123i | −0.578708 | + | 1.00235i | ||||
\(86\) | 5.10473 | − | 5.94464i | 0.550457 | − | 0.641027i | ||||
\(87\) | 1.54762 | + | 4.37855i | 0.165922 | + | 0.469430i | ||||
\(88\) | 5.29632 | − | 8.48934i | 0.564589 | − | 0.904966i | ||||
\(89\) | −7.32424 | + | 4.22865i | −0.776368 | + | 0.448236i | −0.835142 | − | 0.550035i | \(-0.814614\pi\) |
0.0587737 | + | 0.998271i | \(0.481281\pi\) | |||||||
\(90\) | 0.365969 | − | 12.1828i | 0.0385765 | − | 1.28418i | ||||
\(91\) | −0.532818 | − | 16.7057i | −0.0558545 | − | 1.75124i | ||||
\(92\) | −8.57284 | + | 6.86663i | −0.893780 | + | 0.715896i | ||||
\(93\) | −0.148199 | − | 0.419288i | −0.0153676 | − | 0.0434781i | ||||
\(94\) | 0.533732 | − | 2.83744i | 0.0550503 | − | 0.292659i | ||||
\(95\) | −3.02387 | − | 5.23749i | −0.310242 | − | 0.537355i | ||||
\(96\) | −9.77643 | − | 0.649192i | −0.997803 | − | 0.0662579i | ||||
\(97\) | 4.95593 | + | 8.58392i | 0.503198 | + | 0.871565i | 0.999993 | + | 0.00369720i | \(0.00117686\pi\) |
−0.496795 | + | 0.867868i | \(0.665490\pi\) | |||||||
\(98\) | −1.20636 | + | 9.82572i | −0.121860 | + | 0.992547i | ||||
\(99\) | 9.90355 | + | 3.81502i | 0.995345 | + | 0.383424i | ||||
\(100\) | −5.07804 | + | 4.06739i | −0.507804 | + | 0.406739i | ||||
\(101\) | 15.0826i | 1.50078i | 0.660996 | + | 0.750389i | \(0.270134\pi\) | ||||
−0.660996 | + | 0.750389i | \(0.729866\pi\) | |||||||
\(102\) | −3.28827 | + | 8.48344i | −0.325587 | + | 0.839986i | ||||
\(103\) | − | 1.44210i | − | 0.142094i | −0.997473 | − | 0.0710472i | \(-0.977366\pi\) | ||
0.997473 | − | 0.0710472i | \(-0.0226341\pi\) | |||||||
\(104\) | −8.39988 | − | 15.7708i | −0.823676 | − | 1.54645i | ||||
\(105\) | −12.2662 | + | 4.78067i | −1.19706 | + | 0.466546i | ||||
\(106\) | 3.14773 | + | 0.592099i | 0.305734 | + | 0.0575097i | ||||
\(107\) | 1.82752 | + | 3.16536i | 0.176673 | + | 0.306007i | 0.940739 | − | 0.339131i | \(-0.110133\pi\) |
−0.764066 | + | 0.645138i | \(0.776800\pi\) | |||||||
\(108\) | −1.28316 | − | 10.3128i | −0.123472 | − | 0.992348i | ||||
\(109\) | −7.28399 | + | 12.6162i | −0.697680 | + | 1.20842i | 0.271589 | + | 0.962413i | \(0.412451\pi\) |
−0.969269 | + | 0.246003i | \(0.920883\pi\) | |||||||
\(110\) | −4.76149 | − | 13.5611i | −0.453991 | − | 1.29300i | ||||
\(111\) | 2.35458 | − | 0.832239i | 0.223487 | − | 0.0789926i | ||||
\(112\) | 3.48294 | + | 9.99346i | 0.329107 | + | 0.944293i | ||||
\(113\) | −12.2439 | − | 7.06904i | −1.15181 | − | 0.664999i | −0.202484 | − | 0.979286i | \(-0.564901\pi\) |
−0.949328 | + | 0.314286i | \(0.898235\pi\) | |||||||
\(114\) | −3.23204 | − | 4.01796i | −0.302709 | − | 0.376317i | ||||
\(115\) | 15.7773i | 1.47124i | ||||||||
\(116\) | 1.94845 | − | 4.99594i | 0.180909 | − | 0.463861i | ||||
\(117\) | 14.7427 | − | 11.9096i | 1.36296 | − | 1.10104i | ||||
\(118\) | −7.62681 | − | 6.54923i | −0.702105 | − | 0.602906i | ||||
\(119\) | 9.82244 | − | 0.313280i | 0.900422 | − | 0.0287183i | ||||
\(120\) | −9.50690 | + | 10.3775i | −0.867857 | + | 0.947333i | ||||
\(121\) | 1.51498 | 0.137725 | ||||||||
\(122\) | 1.48251 | − | 7.88136i | 0.134220 | − | 0.713545i | ||||
\(123\) | −6.81524 | + | 7.97010i | −0.614509 | + | 0.718640i | ||||
\(124\) | −0.186582 | + | 0.478408i | −0.0167556 | + | 0.0429623i | ||||
\(125\) | − | 5.01857i | − | 0.448875i | ||||||
\(126\) | −9.71070 | + | 5.63049i | −0.865097 | + | 0.501604i | ||||
\(127\) | − | 16.9477i | − | 1.50386i | −0.659242 | − | 0.751931i | \(-0.729123\pi\) | ||
0.659242 | − | 0.751931i | \(-0.270877\pi\) | |||||||
\(128\) | 8.05962 | + | 7.93993i | 0.712376 | + | 0.701798i | ||||
\(129\) | −3.19809 | − | 9.04808i | −0.281576 | − | 0.796639i | ||||
\(130\) | −25.2238 | − | 4.74468i | −2.21227 | − | 0.416136i | ||||
\(131\) | 5.20164 | 0.454470 | 0.227235 | − | 0.973840i | \(-0.427032\pi\) | ||||
0.227235 | + | 0.973840i | \(0.427032\pi\) | |||||||
\(132\) | −5.78348 | − | 10.8042i | −0.503388 | − | 0.940386i | ||||
\(133\) | −2.62968 | + | 4.90985i | −0.228022 | + | 0.425738i | ||||
\(134\) | −6.76819 | + | 7.88180i | −0.584683 | + | 0.680884i | ||||
\(135\) | −12.7141 | − | 7.82215i | −1.09425 | − | 0.673224i | ||||
\(136\) | 9.27270 | − | 4.93886i | 0.795128 | − | 0.423504i | ||||
\(137\) | − | 13.1000i | − | 1.11921i | −0.828760 | − | 0.559604i | \(-0.810953\pi\) | ||
0.828760 | − | 0.559604i | \(-0.189047\pi\) | |||||||
\(138\) | 2.06107 | + | 13.2935i | 0.175450 | + | 1.13162i | ||||
\(139\) | −3.88147 | − | 2.24097i | −0.329222 | − | 0.190076i | 0.326274 | − | 0.945275i | \(-0.394207\pi\) |
−0.655496 | + | 0.755199i | \(0.727540\pi\) | |||||||
\(140\) | 14.3314 | + | 5.06920i | 1.21123 | + | 0.428426i | ||||
\(141\) | −2.68750 | − | 2.29809i | −0.226329 | − | 0.193534i | ||||
\(142\) | 12.0678 | − | 4.23717i | 1.01270 | − | 0.355576i | ||||
\(143\) | 11.1744 | − | 19.3546i | 0.934447 | − | 1.61851i | ||||
\(144\) | −6.65461 | + | 9.98580i | −0.554551 | + | 0.832150i | ||||
\(145\) | −3.85133 | − | 6.67070i | −0.319836 | − | 0.553972i | ||||
\(146\) | −3.06500 | + | 16.2942i | −0.253662 | + | 1.34852i | ||||
\(147\) | 9.69818 | + | 7.27636i | 0.799892 | + | 0.600144i | ||||
\(148\) | −2.68658 | − | 1.04778i | −0.220836 | − | 0.0861273i | ||||
\(149\) | 8.44492i | 0.691834i | 0.938265 | + | 0.345917i | \(0.112432\pi\) | ||||
−0.938265 | + | 0.345917i | \(0.887568\pi\) | |||||||
\(150\) | 1.22086 | + | 7.87431i | 0.0996828 | + | 0.642935i | ||||
\(151\) | − | 6.29204i | − | 0.512039i | −0.966672 | − | 0.256020i | \(-0.917589\pi\) | ||
0.966672 | − | 0.256020i | \(-0.0824112\pi\) | |||||||
\(152\) | −0.203562 | + | 5.95080i | −0.0165110 | + | 0.482674i | ||||
\(153\) | 7.00246 | + | 8.66821i | 0.566116 | + | 0.700783i | ||||
\(154\) | −8.29888 | + | 10.3120i | −0.668743 | + | 0.830968i | ||||
\(155\) | 0.368801 | + | 0.638783i | 0.0296228 | + | 0.0513083i | ||||
\(156\) | −21.8728 | − | 0.702628i | −1.75122 | − | 0.0562553i | ||||
\(157\) | 4.99807 | + | 8.65691i | 0.398889 | + | 0.690897i | 0.993589 | − | 0.113051i | \(-0.0360624\pi\) |
−0.594700 | + | 0.803948i | \(0.702729\pi\) | |||||||
\(158\) | 17.2100 | + | 3.23727i | 1.36916 | + | 0.257543i | ||||
\(159\) | 2.54940 | − | 2.98140i | 0.202180 | − | 0.236440i | ||||
\(160\) | 16.1390 | − | 1.90581i | 1.27590 | − | 0.150667i | ||||
\(161\) | 12.3455 | − | 7.66256i | 0.972965 | − | 0.603894i | ||||
\(162\) | −11.7344 | − | 4.92985i | −0.921943 | − | 0.387326i | ||||
\(163\) | −10.9225 | + | 6.30608i | −0.855513 | + | 0.493930i | −0.862507 | − | 0.506045i | \(-0.831107\pi\) |
0.00699437 | + | 0.999976i | \(0.497774\pi\) | |||||||
\(164\) | 11.9698 | − | 1.83033i | 0.934686 | − | 0.142925i | ||||
\(165\) | −17.3062 | − | 3.21808i | −1.34729 | − | 0.250527i | ||||
\(166\) | −11.7926 | − | 10.1264i | −0.915281 | − | 0.785962i | ||||
\(167\) | 4.48097 | − | 7.76126i | 0.346748 | − | 0.600585i | −0.638922 | − | 0.769272i | \(-0.720619\pi\) |
0.985670 | + | 0.168687i | \(0.0539527\pi\) | |||||||
\(168\) | 12.7375 | + | 2.39899i | 0.982722 | + | 0.185086i | ||||
\(169\) | −13.4547 | − | 23.3042i | −1.03498 | − | 1.79263i | ||||
\(170\) | 2.78972 | − | 14.8308i | 0.213962 | − | 1.13747i | ||||
\(171\) | −6.23888 | + | 0.980600i | −0.477099 | + | 0.0749884i | ||||
\(172\) | −4.02638 | + | 10.3239i | −0.307009 | + | 0.787188i | ||||
\(173\) | −5.45971 | − | 3.15217i | −0.415094 | − | 0.239655i | 0.277882 | − | 0.960615i | \(-0.410368\pi\) |
−0.692976 | + | 0.720961i | \(0.743701\pi\) | |||||||
\(174\) | −4.11648 | − | 5.11746i | −0.312069 | − | 0.387953i | ||||
\(175\) | 7.31278 | − | 4.53885i | 0.552794 | − | 0.343105i | ||||
\(176\) | −3.08981 | + | 13.8092i | −0.232903 | + | 1.04090i | ||||
\(177\) | −11.6084 | + | 4.10306i | −0.872544 | + | 0.308405i | ||||
\(178\) | 7.79195 | − | 9.07400i | 0.584031 | − | 0.680125i | ||||
\(179\) | 7.19492 | − | 12.4620i | 0.537773 | − | 0.931451i | −0.461250 | − | 0.887270i | \(-0.652599\pi\) |
0.999024 | − | 0.0441806i | \(-0.0140677\pi\) | |||||||
\(180\) | 5.21947 | + | 16.4277i | 0.389036 | + | 1.22445i | ||||
\(181\) | 23.8306 | 1.77132 | 0.885658 | − | 0.464338i | \(-0.153708\pi\) | ||||
0.885658 | + | 0.464338i | \(0.153708\pi\) | |||||||
\(182\) | 8.53780 | + | 22.0417i | 0.632864 | + | 1.63384i | ||||
\(183\) | −7.46490 | − | 6.38324i | −0.551821 | − | 0.471863i | ||||
\(184\) | 8.22209 | − | 13.1790i | 0.606141 | − | 0.971568i | ||||
\(185\) | −3.58719 | + | 2.07107i | −0.263736 | + | 0.152268i | ||||
\(186\) | 0.394191 | + | 0.490045i | 0.0289035 | + | 0.0359318i | ||||
\(187\) | 11.3799 | + | 6.57016i | 0.832177 | + | 0.480458i | ||||
\(188\) | 0.617185 | + | 4.03620i | 0.0450128 | + | 0.294370i | ||||
\(189\) | 0.0540915 | + | 13.7476i | 0.00393458 | + | 0.999992i | ||||
\(190\) | 6.48873 | + | 5.57194i | 0.470742 | + | 0.404231i | ||||
\(191\) | −2.74949 | + | 4.76226i | −0.198946 | + | 0.344585i | −0.948187 | − | 0.317713i | \(-0.897085\pi\) |
0.749241 | + | 0.662298i | \(0.230419\pi\) | |||||||
\(192\) | 13.3494 | − | 3.71412i | 0.963407 | − | 0.268043i | ||||
\(193\) | 6.02207 | + | 10.4305i | 0.433478 | + | 0.750807i | 0.997170 | − | 0.0751787i | \(-0.0239527\pi\) |
−0.563692 | + | 0.825985i | \(0.690619\pi\) | |||||||
\(194\) | −10.6346 | − | 9.13207i | −0.763521 | − | 0.655644i | ||||
\(195\) | −20.4292 | + | 23.8909i | −1.46296 | + | 1.71086i | ||||
\(196\) | −2.99376 | − | 13.6762i | −0.213840 | − | 0.976869i | ||||
\(197\) | 11.2108i | 0.798738i | 0.916790 | + | 0.399369i | \(0.130771\pi\) | ||||
−0.916790 | + | 0.399369i | \(0.869229\pi\) | |||||||
\(198\) | −15.0022 | − | 0.450662i | −1.06616 | − | 0.0320271i | ||||
\(199\) | −15.7110 | − | 9.07074i | −1.11372 | − | 0.643008i | −0.173931 | − | 0.984758i | \(-0.555647\pi\) |
−0.939791 | + | 0.341750i | \(0.888980\pi\) | |||||||
\(200\) | 4.87028 | − | 7.80645i | 0.344381 | − | 0.552000i | ||||
\(201\) | 4.24024 | + | 11.9965i | 0.299084 | + | 0.846171i | ||||
\(202\) | −7.06638 | − | 20.1256i | −0.497189 | − | 1.41603i | ||||
\(203\) | −3.34928 | + | 6.25340i | −0.235073 | + | 0.438903i | ||||
\(204\) | 0.413123 | − | 12.8605i | 0.0289244 | − | 0.900415i | ||||
\(205\) | 8.69670 | − | 15.0631i | 0.607404 | − | 1.05205i | ||||
\(206\) | 0.675640 | + | 1.92427i | 0.0470741 | + | 0.134070i | ||||
\(207\) | 15.3744 | + | 5.92251i | 1.06860 | + | 0.411643i | ||||
\(208\) | 18.5972 | + | 17.1083i | 1.28948 | + | 1.18625i | ||||
\(209\) | −6.44956 | + | 3.72366i | −0.446125 | + | 0.257571i | ||||
\(210\) | 14.1277 | − | 12.1260i | 0.974901 | − | 0.836771i | ||||
\(211\) | 1.59074 | + | 0.918416i | 0.109511 | + | 0.0632264i | 0.553755 | − | 0.832679i | \(-0.313194\pi\) |
−0.444244 | + | 0.895906i | \(0.646528\pi\) | |||||||
\(212\) | −4.47758 | + | 0.684677i | −0.307522 | + | 0.0470238i | ||||
\(213\) | 2.86371 | − | 15.4005i | 0.196218 | − | 1.05523i | ||||
\(214\) | −3.92157 | − | 3.36749i | −0.268073 | − | 0.230197i | ||||
\(215\) | 7.95860 | + | 13.7847i | 0.542772 | + | 0.940109i | ||||
\(216\) | 6.54384 | + | 13.1597i | 0.445252 | + | 0.895405i | ||||
\(217\) | 0.320725 | − | 0.598822i | 0.0217722 | − | 0.0406507i | ||||
\(218\) | 3.80856 | − | 20.2471i | 0.257948 | − | 1.37131i | ||||
\(219\) | 15.4332 | + | 13.1970i | 1.04288 | + | 0.891769i | ||||
\(220\) | 12.7070 | + | 15.8644i | 0.856707 | + | 1.06958i | ||||
\(221\) | 20.3217 | − | 11.7327i | 1.36698 | − | 0.789228i | ||||
\(222\) | −2.75193 | + | 2.21365i | −0.184697 | + | 0.148570i | ||||
\(223\) | −4.03987 | + | 2.33242i | −0.270530 | + | 0.156190i | −0.629128 | − | 0.777301i | \(-0.716588\pi\) |
0.358599 | + | 0.933492i | \(0.383255\pi\) | |||||||
\(224\) | −9.32951 | − | 11.7030i | −0.623354 | − | 0.781940i | ||||
\(225\) | 9.10691 | + | 3.50814i | 0.607128 | + | 0.233876i | ||||
\(226\) | 19.6496 | + | 3.69617i | 1.30708 | + | 0.245866i | ||||
\(227\) | −13.2152 | −0.877125 | −0.438563 | − | 0.898701i | \(-0.644512\pi\) | ||||
−0.438563 | + | 0.898701i | \(0.644512\pi\) | |||||||
\(228\) | 6.19515 | + | 3.84713i | 0.410284 | + | 0.254782i | ||||
\(229\) | −15.1957 | −1.00416 | −0.502081 | − | 0.864821i | \(-0.667432\pi\) | ||||
−0.502081 | + | 0.864821i | \(0.667432\pi\) | |||||||
\(230\) | −7.39182 | − | 21.0524i | −0.487402 | − | 1.38816i | ||||
\(231\) | 5.88702 | + | 15.1049i | 0.387338 | + | 0.993828i | ||||
\(232\) | −0.259265 | + | 7.57921i | −0.0170216 | + | 0.497599i | ||||
\(233\) | −5.56063 | + | 3.21043i | −0.364289 | + | 0.210322i | −0.670961 | − | 0.741493i | \(-0.734118\pi\) |
0.306671 | + | 0.951815i | \(0.400785\pi\) | |||||||
\(234\) | −14.0921 | + | 22.7987i | −0.921230 | + | 1.49040i | ||||
\(235\) | 5.07926 | + | 2.93251i | 0.331335 | + | 0.191296i | ||||
\(236\) | 13.2452 | + | 5.16574i | 0.862192 | + | 0.336261i | ||||
\(237\) | 13.9387 | − | 16.3006i | 0.905414 | − | 1.05884i | ||||
\(238\) | −12.9598 | + | 5.01995i | −0.840061 | + | 0.325395i | ||||
\(239\) | −5.51439 | + | 9.55121i | −0.356696 | + | 0.617816i | −0.987407 | − | 0.158202i | \(-0.949430\pi\) |
0.630710 | + | 0.776018i | \(0.282764\pi\) | |||||||
\(240\) | 7.82357 | − | 18.3014i | 0.505009 | − | 1.18135i | ||||
\(241\) | −4.12034 | −0.265414 | −0.132707 | − | 0.991155i | \(-0.542367\pi\) | ||||
−0.132707 | + | 0.991155i | \(0.542367\pi\) | |||||||
\(242\) | −2.02151 | + | 0.709783i | −0.129948 | + | 0.0456266i | ||||
\(243\) | −12.3951 | + | 9.45315i | −0.795145 | + | 0.606420i | ||||
\(244\) | 1.71431 | + | 11.2111i | 0.109748 | + | 0.717716i | ||||
\(245\) | −18.0209 | − | 8.92464i | −1.15131 | − | 0.570174i | ||||
\(246\) | 5.35985 | − | 13.8279i | 0.341732 | − | 0.881637i | ||||
\(247\) | 13.2991i | 0.846201i | ||||||||
\(248\) | 0.0248271 | − | 0.725781i | 0.00157652 | − | 0.0460871i | ||||
\(249\) | −17.9490 | + | 6.34415i | −1.13747 | + | 0.402044i | ||||
\(250\) | 2.35126 | + | 6.69655i | 0.148707 | + | 0.423527i | ||||
\(251\) | −12.6369 | −0.797636 | −0.398818 | − | 0.917030i | \(-0.630579\pi\) | ||||
−0.398818 | + | 0.917030i | \(0.630579\pi\) | |||||||
\(252\) | 10.3195 | − | 12.0626i | 0.650070 | − | 0.759874i | ||||
\(253\) | 19.4285 | 1.22146 | ||||||||
\(254\) | 7.94017 | + | 22.6142i | 0.498210 | + | 1.41894i | ||||
\(255\) | −14.0471 | − | 12.0117i | −0.879663 | − | 0.752201i | ||||
\(256\) | −14.4743 | − | 6.81865i | −0.904645 | − | 0.426166i | ||||
\(257\) | 16.3541i | 1.02014i | 0.860133 | + | 0.510070i | \(0.170381\pi\) | ||||
−0.860133 | + | 0.510070i | \(0.829619\pi\) | |||||||
\(258\) | 8.50651 | + | 10.5750i | 0.529592 | + | 0.658370i | ||||
\(259\) | 3.36279 | + | 1.80109i | 0.208953 | + | 0.111914i | ||||
\(260\) | 35.8804 | − | 5.48655i | 2.22521 | − | 0.340261i | ||||
\(261\) | −7.94612 | + | 1.24894i | −0.491852 | + | 0.0773072i | ||||
\(262\) | −6.94083 | + | 2.43703i | −0.428806 | + | 0.150560i | ||||
\(263\) | −17.8573 | −1.10113 | −0.550564 | − | 0.834793i | \(-0.685587\pi\) | ||||
−0.550564 | + | 0.834793i | \(0.685587\pi\) | |||||||
\(264\) | 12.7791 | + | 11.7070i | 0.786499 | + | 0.720516i | ||||
\(265\) | −3.25320 | + | 5.63471i | −0.199842 | + | 0.346137i | ||||
\(266\) | 1.20860 | − | 7.78350i | 0.0741043 | − | 0.477237i | ||||
\(267\) | −4.88162 | − | 13.8111i | −0.298750 | − | 0.845228i | ||||
\(268\) | 5.33844 | − | 13.6881i | 0.326097 | − | 0.836132i | ||||
\(269\) | −8.25228 | − | 4.76446i | −0.503150 | − | 0.290494i | 0.226863 | − | 0.973927i | \(-0.427153\pi\) |
−0.730014 | + | 0.683433i | \(0.760486\pi\) | |||||||
\(270\) | 20.6298 | + | 4.48083i | 1.25549 | + | 0.272695i | ||||
\(271\) | −1.00748 | + | 0.581671i | −0.0612002 | + | 0.0353340i | −0.530288 | − | 0.847818i | \(-0.677916\pi\) |
0.469088 | + | 0.883152i | \(0.344583\pi\) | |||||||
\(272\) | −10.0591 | + | 10.9345i | −0.609925 | + | 0.663004i | ||||
\(273\) | 28.6163 | + | 4.38248i | 1.73194 | + | 0.265240i | ||||
\(274\) | 6.13749 | + | 17.4800i | 0.370779 | + | 1.05601i | ||||
\(275\) | 11.5083 | 0.693975 | ||||||||
\(276\) | −8.97838 | − | 16.7726i | −0.540435 | − | 1.00959i | ||||
\(277\) | −23.7404 | −1.42642 | −0.713212 | − | 0.700949i | \(-0.752760\pi\) | ||||
−0.713212 | + | 0.700949i | \(0.752760\pi\) | |||||||
\(278\) | 6.22917 | + | 1.17173i | 0.373601 | + | 0.0702756i | ||||
\(279\) | 0.760915 | − | 0.119597i | 0.0455548 | − | 0.00716011i | ||||
\(280\) | −21.4981 | − | 0.0496727i | −1.28476 | − | 0.00296851i | ||||
\(281\) | 6.09203 | − | 3.51723i | 0.363420 | − | 0.209821i | −0.307160 | − | 0.951658i | \(-0.599379\pi\) |
0.670580 | + | 0.741837i | \(0.266045\pi\) | |||||||
\(282\) | 4.66276 | + | 1.80733i | 0.277663 | + | 0.107625i | ||||
\(283\) | 16.4873 | − | 9.51893i | 0.980067 | − | 0.565842i | 0.0777765 | − | 0.996971i | \(-0.475218\pi\) |
0.902290 | + | 0.431129i | \(0.141885\pi\) | |||||||
\(284\) | −14.1175 | + | 11.3078i | −0.837719 | + | 0.670993i | ||||
\(285\) | 9.87621 | − | 3.49080i | 0.585016 | − | 0.206777i | ||||
\(286\) | −5.84271 | + | 31.0611i | −0.345486 | + | 1.83668i | ||||
\(287\) | −16.0105 | + | 0.510644i | −0.945069 | + | 0.0301424i | ||||
\(288\) | 4.20114 | − | 16.4423i | 0.247555 | − | 0.968874i | ||||
\(289\) | −1.60154 | − | 2.77395i | −0.0942082 | − | 0.163173i | ||||
\(290\) | 8.26434 | + | 7.09668i | 0.485298 | + | 0.416731i | ||||
\(291\) | −16.1865 | + | 5.72120i | −0.948869 | + | 0.335383i | ||||
\(292\) | −3.54424 | − | 23.1783i | −0.207411 | − | 1.35640i | ||||
\(293\) | −13.1105 | − | 7.56934i | −0.765923 | − | 0.442206i | 0.0654953 | − | 0.997853i | \(-0.479137\pi\) |
−0.831418 | + | 0.555647i | \(0.812471\pi\) | |||||||
\(294\) | −16.3498 | − | 5.16552i | −0.953542 | − | 0.301259i | ||||
\(295\) | 17.6854 | − | 10.2107i | 1.02968 | − | 0.594488i | ||||
\(296\) | 4.07574 | + | 0.139421i | 0.236898 | + | 0.00810366i | ||||
\(297\) | −9.63237 | + | 15.6564i | −0.558927 | + | 0.908474i | ||||
\(298\) | −3.95654 | − | 11.2685i | −0.229196 | − | 0.652766i | ||||
\(299\) | 17.3473 | − | 30.0463i | 1.00322 | − | 1.73762i | ||||
\(300\) | −5.31826 | − | 9.93512i | −0.307050 | − | 0.573605i | ||||
\(301\) | 6.92113 | − | 12.9224i | 0.398928 | − | 0.744833i | ||||
\(302\) | 2.94789 | + | 8.39580i | 0.169632 | + | 0.483124i | ||||
\(303\) | −25.6836 | − | 4.77585i | −1.47549 | − | 0.274365i | ||||
\(304\) | −2.51640 | − | 8.03584i | −0.144325 | − | 0.460887i | ||||
\(305\) | 14.1083 | + | 8.14544i | 0.807840 | + | 0.466407i | ||||
\(306\) | −13.4049 | − | 8.28571i | −0.766308 | − | 0.473663i | ||||
\(307\) | 14.8488i | 0.847463i | 0.905788 | + | 0.423732i | \(0.139280\pi\) | ||||
−0.905788 | + | 0.423732i | \(0.860720\pi\) | |||||||
\(308\) | 6.24233 | − | 17.6480i | 0.355690 | − | 1.00559i | ||||
\(309\) | 2.45570 | + | 0.456634i | 0.139700 | + | 0.0259770i | ||||
\(310\) | −0.791388 | − | 0.679574i | −0.0449478 | − | 0.0385972i | ||||
\(311\) | 3.23069 | + | 5.59572i | 0.183195 | + | 0.317304i | 0.942967 | − | 0.332886i | \(-0.108023\pi\) |
−0.759771 | + | 0.650190i | \(0.774689\pi\) | |||||||
\(312\) | 29.5152 | − | 9.31010i | 1.67097 | − | 0.527080i | ||||
\(313\) | 6.11528 | − | 10.5920i | 0.345656 | − | 0.598694i | −0.639817 | − | 0.768528i | \(-0.720990\pi\) |
0.985473 | + | 0.169834i | \(0.0543230\pi\) | |||||||
\(314\) | −10.7250 | − | 9.20972i | −0.605250 | − | 0.519735i | ||||
\(315\) | −4.25678 | − | 22.4014i | −0.239842 | − | 1.26218i | ||||
\(316\) | −24.4809 | + | 3.74343i | −1.37716 | + | 0.210585i | ||||
\(317\) | −17.3463 | − | 10.0149i | −0.974264 | − | 0.562492i | −0.0737308 | − | 0.997278i | \(-0.523491\pi\) |
−0.900534 | + | 0.434786i | \(0.856824\pi\) | |||||||
\(318\) | −2.00497 | + | 5.17266i | −0.112433 | + | 0.290068i | ||||
\(319\) | −8.21445 | + | 4.74261i | −0.459921 | + | 0.265535i | ||||
\(320\) | −20.6422 | + | 10.1043i | −1.15393 | + | 0.564848i | ||||
\(321\) | −5.96885 | + | 2.10972i | −0.333149 | + | 0.117753i | ||||
\(322\) | −12.8833 | + | 16.0086i | −0.717959 | + | 0.892123i | ||||
\(323\) | −7.81944 | −0.435085 | ||||||||
\(324\) | 17.9675 | + | 1.08045i | 0.998197 | + | 0.0600252i | ||||
\(325\) | 10.2755 | − | 17.7977i | 0.569982 | − | 0.987237i | ||||
\(326\) | 11.6199 | − | 13.5318i | 0.643569 | − | 0.749459i | ||||
\(327\) | −19.1773 | − | 16.3985i | −1.06050 | − | 0.906839i | ||||
\(328\) | −15.1144 | + | 8.05030i | −0.834555 | + | 0.444504i | ||||
\(329\) | −0.172188 | − | 5.39871i | −0.00949305 | − | 0.297641i | ||||
\(330\) | 24.6003 | − | 3.81411i | 1.35420 | − | 0.209960i | ||||
\(331\) | 23.8292 | + | 13.7578i | 1.30977 | + | 0.756198i | 0.982058 | − | 0.188579i | \(-0.0603881\pi\) |
0.327715 | + | 0.944777i | \(0.393721\pi\) | |||||||
\(332\) | 20.4798 | + | 7.98726i | 1.12397 | + | 0.438358i | ||||
\(333\) | 0.671620 | + | 4.27305i | 0.0368045 | + | 0.234162i | ||||
\(334\) | −2.34295 | + | 12.4556i | −0.128201 | + | 0.681543i | ||||
\(335\) | −10.5520 | − | 18.2767i | −0.576520 | − | 0.998562i | ||||
\(336\) | −18.1203 | + | 2.76658i | −0.988545 | + | 0.150929i | ||||
\(337\) | 7.03073 | − | 12.1776i | 0.382988 | − | 0.663355i | −0.608500 | − | 0.793554i | \(-0.708228\pi\) |
0.991488 | + | 0.130199i | \(0.0415616\pi\) | |||||||
\(338\) | 28.8716 | + | 24.7924i | 1.57041 | + | 1.34853i | ||||
\(339\) | 15.9146 | − | 18.6113i | 0.864361 | − | 1.01083i | ||||
\(340\) | 3.22591 | + | 21.0965i | 0.174950 | + | 1.14412i | ||||
\(341\) | 0.786611 | − | 0.454150i | 0.0425974 | − | 0.0245936i | ||||
\(342\) | 7.86544 | − | 4.23145i | 0.425314 | − | 0.228811i | ||||
\(343\) | 1.76877 | + | 18.4356i | 0.0955048 | + | 0.995429i | ||||
\(344\) | 0.535760 | − | 15.6621i | 0.0288862 | − | 0.844443i | ||||
\(345\) | −26.8665 | − | 4.99579i | −1.44644 | − | 0.268964i | ||||
\(346\) | 8.76200 | + | 1.64816i | 0.471048 | + | 0.0886059i | ||||
\(347\) | −8.41428 | − | 14.5740i | −0.451702 | − | 0.782371i | 0.546790 | − | 0.837270i | \(-0.315850\pi\) |
−0.998492 | + | 0.0548988i | \(0.982516\pi\) | |||||||
\(348\) | 7.89042 | + | 4.89988i | 0.422971 | + | 0.262661i | ||||
\(349\) | 0.669636 | + | 1.15984i | 0.0358448 | + | 0.0620850i | 0.883391 | − | 0.468636i | \(-0.155254\pi\) |
−0.847546 | + | 0.530721i | \(0.821921\pi\) | |||||||
\(350\) | −7.63132 | + | 9.48254i | −0.407911 | + | 0.506863i | ||||
\(351\) | 15.6122 | + | 28.8758i | 0.833318 | + | 1.54128i | ||||
\(352\) | −2.34685 | − | 19.8739i | −0.125088 | − | 1.05928i | ||||
\(353\) | − | 1.45611i | − | 0.0775010i | −0.999249 | − | 0.0387505i | \(-0.987662\pi\) | ||
0.999249 | − | 0.0387505i | \(-0.0123378\pi\) | |||||||
\(354\) | 13.5674 | − | 10.9136i | 0.721100 | − | 0.580052i | ||||
\(355\) | 25.9815i | 1.37896i | ||||||||
\(356\) | −6.14593 | + | 15.7585i | −0.325734 | + | 0.835201i | ||||
\(357\) | −2.57676 | + | 16.8254i | −0.136376 | + | 0.890497i | ||||
\(358\) | −3.76199 | + | 19.9996i | −0.198827 | + | 1.05701i | ||||
\(359\) | 0.574142 | + | 0.994443i | 0.0303021 | + | 0.0524847i | 0.880779 | − | 0.473528i | \(-0.157020\pi\) |
−0.850477 | + | 0.526013i | \(0.823686\pi\) | |||||||
\(360\) | −14.6612 | − | 19.4749i | −0.772711 | − | 1.02642i | ||||
\(361\) | −7.28416 | + | 12.6165i | −0.383377 | + | 0.664028i | ||||
\(362\) | −31.7985 | + | 11.1649i | −1.67129 | + | 0.586815i | ||||
\(363\) | −0.479710 | + | 2.57979i | −0.0251782 | + | 0.135404i | ||||
\(364\) | −21.7192 | − | 25.4114i | −1.13840 | − | 1.33192i | ||||
\(365\) | −29.1681 | − | 16.8402i | −1.52673 | − | 0.881457i | ||||
\(366\) | 12.9514 | + | 5.02011i | 0.676982 | + | 0.262405i | ||||
\(367\) | 2.51626i | 0.131348i | 0.997841 | + | 0.0656738i | \(0.0209197\pi\) | ||||
−0.997841 | + | 0.0656738i | \(0.979080\pi\) | |||||||
\(368\) | −4.79667 | + | 21.4376i | −0.250044 | + | 1.11751i | ||||
\(369\) | −11.4140 | − | 14.1291i | −0.594187 | − | 0.735532i | ||||
\(370\) | 3.81626 | − | 4.44417i | 0.198398 | − | 0.231042i | ||||
\(371\) | 5.98909 | − | 0.191018i | 0.310938 | − | 0.00991716i | ||||
\(372\) | −0.755582 | − | 0.469209i | −0.0391751 | − | 0.0243274i | ||||
\(373\) | −3.95758 | −0.204916 | −0.102458 | − | 0.994737i | \(-0.532671\pi\) | ||||
−0.102458 | + | 0.994737i | \(0.532671\pi\) | |||||||
\(374\) | −18.2629 | − | 3.43532i | −0.944354 | − | 0.177636i | ||||
\(375\) | 8.54594 | + | 1.58911i | 0.441310 | + | 0.0820612i | ||||
\(376\) | −2.71455 | − | 5.09656i | −0.139992 | − | 0.262835i | ||||
\(377\) | 16.9383i | 0.872368i | ||||||||
\(378\) | −6.51309 | − | 18.3188i | −0.334997 | − | 0.942219i | ||||
\(379\) | 5.59867i | 0.287584i | 0.989608 | + | 0.143792i | \(0.0459297\pi\) | ||||
−0.989608 | + | 0.143792i | \(0.954070\pi\) | |||||||
\(380\) | −11.2688 | − | 4.39490i | −0.578076 | − | 0.225453i | ||||
\(381\) | 28.8595 | + | 5.36640i | 1.47852 | + | 0.274929i | ||||
\(382\) | 1.43762 | − | 7.64270i | 0.0735550 | − | 0.391034i | ||||
\(383\) | 26.0879 | 1.33303 | 0.666516 | − | 0.745491i | \(-0.267785\pi\) | ||||
0.666516 | + | 0.745491i | \(0.267785\pi\) | |||||||
\(384\) | −16.0726 | + | 11.2103i | −0.820204 | + | 0.572071i | ||||
\(385\) | −14.1799 | − | 22.8460i | −0.722675 | − | 1.16434i | ||||
\(386\) | −12.9224 | − | 11.0966i | −0.657733 | − | 0.564802i | ||||
\(387\) | 16.4203 | − | 2.58087i | 0.834690 | − | 0.131193i | ||||
\(388\) | 18.4688 | + | 7.20296i | 0.937612 | + | 0.365675i | ||||
\(389\) | 6.40736i | 0.324866i | 0.986720 | + | 0.162433i | \(0.0519342\pi\) | ||||
−0.986720 | + | 0.162433i | \(0.948066\pi\) | |||||||
\(390\) | 16.0665 | − | 41.4502i | 0.813560 | − | 2.09891i | ||||
\(391\) | 17.6663 | + | 10.1996i | 0.893422 | + | 0.515817i | ||||
\(392\) | 10.4022 | + | 16.8462i | 0.525389 | + | 0.850862i | ||||
\(393\) | −1.64708 | + | 8.85767i | −0.0830840 | + | 0.446811i | ||||
\(394\) | −5.25240 | − | 14.9592i | −0.264612 | − | 0.753633i | ||||
\(395\) | −17.7867 | + | 30.8074i | −0.894945 | + | 1.55009i | ||||
\(396\) | 20.2294 | − | 6.42737i | 1.01656 | − | 0.322987i | ||||
\(397\) | −11.5465 | − | 19.9991i | −0.579500 | − | 1.00372i | −0.995537 | − | 0.0943761i | \(-0.969914\pi\) |
0.416036 | − | 0.909348i | \(-0.363419\pi\) | |||||||
\(398\) | 25.2137 | + | 4.74280i | 1.26385 | + | 0.237735i | ||||
\(399\) | −7.52811 | − | 6.03266i | −0.376877 | − | 0.302011i | ||||
\(400\) | −2.84126 | + | 12.6983i | −0.142063 | + | 0.634917i | ||||
\(401\) | 32.8384i | 1.63987i | 0.572455 | + | 0.819936i | \(0.305991\pi\) | ||||
−0.572455 | + | 0.819936i | \(0.694009\pi\) | |||||||
\(402\) | −11.2785 | − | 14.0210i | −0.562520 | − | 0.699305i | ||||
\(403\) | − | 1.62200i | − | 0.0807978i | ||||||
\(404\) | 18.8581 | + | 23.5439i | 0.938225 | + | 1.17135i | ||||
\(405\) | 17.3459 | − | 19.1734i | 0.861924 | − | 0.952735i | ||||
\(406\) | 1.53933 | − | 9.91342i | 0.0763958 | − | 0.491995i | ||||
\(407\) | 2.55036 | + | 4.41735i | 0.126416 | + | 0.218960i | ||||
\(408\) | 5.47404 | + | 17.3540i | 0.271005 | + | 0.859151i | ||||
\(409\) | 3.65396 | + | 6.32885i | 0.180677 | + | 0.312941i | 0.942111 | − | 0.335301i | \(-0.108838\pi\) |
−0.761434 | + | 0.648242i | \(0.775505\pi\) | |||||||
\(410\) | −4.54722 | + | 24.1740i | −0.224571 | + | 1.19387i | ||||
\(411\) | 22.3075 | + | 4.14805i | 1.10035 | + | 0.204608i | ||||
\(412\) | −1.80308 | − | 2.25111i | −0.0888316 | − | 0.110904i | ||||
\(413\) | −16.5790 | − | 8.87963i | −0.815801 | − | 0.436938i | ||||
\(414\) | −23.2897 | − | 0.699615i | −1.14463 | − | 0.0343842i | ||||
\(415\) | 27.3452 | − | 15.7877i | 1.34232 | − | 0.774989i | ||||
\(416\) | −32.8307 | − | 14.1155i | −1.60966 | − | 0.692071i | ||||
\(417\) | 5.04510 | − | 5.90001i | 0.247060 | − | 0.288925i | ||||
\(418\) | 6.86141 | − | 7.99036i | 0.335603 | − | 0.390821i | ||||
\(419\) | 4.39689 | − | 7.61563i | 0.214802 | − | 0.372048i | −0.738409 | − | 0.674353i | \(-0.764423\pi\) |
0.953211 | + | 0.302305i | \(0.0977561\pi\) | |||||||
\(420\) | −13.1701 | + | 22.7993i | −0.642636 | + | 1.11249i | ||||
\(421\) | 18.6580 | + | 32.3165i | 0.909334 | + | 1.57501i | 0.814992 | + | 0.579472i | \(0.196741\pi\) |
0.0943413 | + | 0.995540i | \(0.469926\pi\) | |||||||
\(422\) | −2.55290 | − | 0.480210i | −0.124273 | − | 0.0233762i | ||||
\(423\) | 4.76431 | − | 3.84877i | 0.231649 | − | 0.187134i | ||||
\(424\) | 5.65390 | − | 3.01140i | 0.274577 | − | 0.146246i | ||||
\(425\) | 10.4645 | + | 6.04166i | 0.507601 | + | 0.293064i | ||||
\(426\) | 3.39412 | + | 21.8914i | 0.164445 | + | 1.06064i | ||||
\(427\) | −0.478276 | − | 14.9956i | −0.0231454 | − | 0.725690i | ||||
\(428\) | 6.81046 | + | 2.65613i | 0.329196 | + | 0.128389i | ||||
\(429\) | 29.4198 | + | 25.1569i | 1.42040 | + | 1.21459i | ||||
\(430\) | −17.0779 | − | 14.6650i | −0.823568 | − | 0.707207i | ||||
\(431\) | 11.2054 | − | 19.4082i | 0.539743 | − | 0.934862i | −0.459175 | − | 0.888346i | \(-0.651855\pi\) |
0.998918 | − | 0.0465160i | \(-0.0148118\pi\) | |||||||
\(432\) | −14.8973 | − | 14.4938i | −0.716745 | − | 0.697335i | ||||
\(433\) | −41.0490 | −1.97269 | −0.986343 | − | 0.164702i | \(-0.947334\pi\) | ||||
−0.986343 | + | 0.164702i | \(0.947334\pi\) | |||||||
\(434\) | −0.147406 | + | 0.949303i | −0.00707569 | + | 0.0455680i | ||||
\(435\) | 12.5788 | − | 4.44604i | 0.603107 | − | 0.213171i | ||||
\(436\) | 4.40405 | + | 28.8012i | 0.210916 | + | 1.37933i | ||||
\(437\) | −10.0124 | + | 5.78066i | −0.478958 | + | 0.276527i | ||||
\(438\) | −26.7763 | − | 10.3788i | −1.27942 | − | 0.495917i | ||||
\(439\) | −33.7983 | − | 19.5135i | −1.61310 | − | 0.931326i | −0.988645 | − | 0.150269i | \(-0.951986\pi\) |
−0.624460 | − | 0.781057i | \(-0.714681\pi\) | |||||||
\(440\) | −24.3883 | − | 15.2154i | −1.16267 | − | 0.725364i | ||||
\(441\) | −15.4615 | + | 14.2106i | −0.736262 | + | 0.676696i | ||||
\(442\) | −21.6194 | + | 25.1765i | −1.02833 | + | 1.19752i | ||||
\(443\) | 7.31109 | − | 12.6632i | 0.347360 | − | 0.601646i | −0.638419 | − | 0.769689i | \(-0.720411\pi\) |
0.985780 | + | 0.168043i | \(0.0537447\pi\) | |||||||
\(444\) | 2.63492 | − | 4.24310i | 0.125048 | − | 0.201368i | ||||
\(445\) | 12.1481 | + | 21.0412i | 0.575877 | + | 0.997449i | ||||
\(446\) | 4.29785 | − | 5.00500i | 0.203509 | − | 0.236993i | ||||
\(447\) | −14.3805 | − | 2.67404i | −0.680175 | − | 0.126478i | ||||
\(448\) | 17.9318 | + | 11.2449i | 0.847200 | + | 0.531274i | ||||
\(449\) | 4.89587i | 0.231051i | 0.993305 | + | 0.115525i | \(0.0368551\pi\) | ||||
−0.993305 | + | 0.115525i | \(0.963145\pi\) | |||||||
\(450\) | −13.7954 | − | 0.414411i | −0.650323 | − | 0.0195355i | ||||
\(451\) | −18.5491 | − | 10.7093i | −0.873441 | − | 0.504282i | ||||
\(452\) | −27.9513 | + | 4.27409i | −1.31472 | + | 0.201036i | ||||
\(453\) | 10.7145 | + | 1.99235i | 0.503410 | + | 0.0936086i | ||||
\(454\) | 17.6338 | − | 6.19148i | 0.827594 | − | 0.290581i | ||||
\(455\) | −47.9926 | + | 1.53069i | −2.24993 | + | 0.0717599i | ||||
\(456\) | −10.0689 | − | 2.23093i | −0.471521 | − | 0.104473i | ||||
\(457\) | 14.5077 | − | 25.1280i | 0.678639 | − | 1.17544i | −0.296752 | − | 0.954955i | \(-0.595903\pi\) |
0.975391 | − | 0.220483i | \(-0.0707633\pi\) | |||||||
\(458\) | 20.2765 | − | 7.11937i | 0.947457 | − | 0.332666i | ||||
\(459\) | −16.9780 | + | 9.17948i | −0.792467 | + | 0.428461i | ||||
\(460\) | 19.7266 | + | 24.6282i | 0.919757 | + | 1.14830i | ||||
\(461\) | −6.60037 | + | 3.81073i | −0.307410 | + | 0.177483i | −0.645767 | − | 0.763535i | \(-0.723462\pi\) |
0.338357 | + | 0.941018i | \(0.390129\pi\) | |||||||
\(462\) | −14.9322 | − | 17.3971i | −0.694708 | − | 0.809386i | ||||
\(463\) | −11.4432 | − | 6.60672i | −0.531810 | − | 0.307040i | 0.209943 | − | 0.977714i | \(-0.432672\pi\) |
−0.741753 | + | 0.670673i | \(0.766005\pi\) | |||||||
\(464\) | −3.20499 | − | 10.2348i | −0.148788 | − | 0.475139i | ||||
\(465\) | −1.20454 | + | 0.425750i | −0.0558591 | + | 0.0197437i | ||||
\(466\) | 5.91572 | − | 6.88907i | 0.274040 | − | 0.319130i | ||||
\(467\) | −4.71551 | − | 8.16751i | −0.218208 | − | 0.377947i | 0.736052 | − | 0.676925i | \(-0.236688\pi\) |
−0.954260 | + | 0.298977i | \(0.903354\pi\) | |||||||
\(468\) | 8.12240 | − | 37.0238i | 0.375458 | − | 1.71143i | ||||
\(469\) | −9.17650 | + | 17.1333i | −0.423731 | + | 0.791144i | ||||
\(470\) | −8.15144 | − | 1.53332i | −0.375998 | − | 0.0707266i | ||||
\(471\) | −16.3241 | + | 5.76985i | −0.752176 | + | 0.265861i | ||||
\(472\) | −20.0940 | − | 0.687365i | −0.924903 | − | 0.0316385i | ||||
\(473\) | 16.9748 | − | 9.80040i | 0.780502 | − | 0.450623i | ||||
\(474\) | −10.9621 | + | 28.2812i | −0.503505 | + | 1.29900i | ||||
\(475\) | −5.93076 | + | 3.42413i | −0.272122 | + | 0.157110i | ||||
\(476\) | 14.9411 | − | 12.7702i | 0.684823 | − | 0.585321i | ||||
\(477\) | 4.26965 | + | 5.28531i | 0.195494 | + | 0.241998i | ||||
\(478\) | 2.88330 | − | 15.3282i | 0.131879 | − | 0.701097i | ||||
\(479\) | −3.94024 | −0.180034 | −0.0900170 | − | 0.995940i | \(-0.528692\pi\) | ||||
−0.0900170 | + | 0.995940i | \(0.528692\pi\) | |||||||
\(480\) | −1.86501 | + | 28.0859i | −0.0851257 | + | 1.28194i | ||||
\(481\) | 9.10864 | 0.415318 | ||||||||
\(482\) | 5.49798 | − | 1.93042i | 0.250426 | − | 0.0879284i | ||||
\(483\) | 9.13911 | + | 23.4491i | 0.415844 | + | 1.06697i | ||||
\(484\) | 2.36487 | − | 1.89420i | 0.107494 | − | 0.0861001i | ||||
\(485\) | 24.6600 | − | 14.2375i | 1.11976 | − | 0.646491i | ||||
\(486\) | 12.1105 | − | 18.4211i | 0.549343 | − | 0.835597i | ||||
\(487\) | 29.7489 | + | 17.1756i | 1.34805 | + | 0.778299i | 0.987974 | − | 0.154623i | \(-0.0494162\pi\) |
0.360079 | + | 0.932922i | \(0.382750\pi\) | |||||||
\(488\) | −7.54002 | − | 14.1564i | −0.341321 | − | 0.640829i | ||||
\(489\) | −7.27984 | − | 20.5962i | −0.329206 | − | 0.931393i | ||||
\(490\) | 28.2275 | + | 3.46564i | 1.27519 | + | 0.156562i | ||||
\(491\) | 15.4355 | − | 26.7350i | 0.696592 | − | 1.20653i | −0.273049 | − | 0.962000i | \(-0.588032\pi\) |
0.969641 | − | 0.244533i | \(-0.0786346\pi\) | |||||||
\(492\) | −0.673387 | + | 20.9625i | −0.0303586 | + | 0.945062i | ||||
\(493\) | −9.95919 | −0.448539 | ||||||||
\(494\) | −6.23078 | − | 17.7457i | −0.280336 | − | 0.798416i | ||||
\(495\) | 10.9599 | − | 28.4511i | 0.492610 | − | 1.27878i | ||||
\(496\) | 0.306908 | + | 0.980079i | 0.0137806 | + | 0.0440069i | ||||
\(497\) | 20.3303 | − | 12.6185i | 0.911938 | − | 0.566016i | ||||
\(498\) | 20.9779 | − | 16.8746i | 0.940044 | − | 0.756170i | ||||
\(499\) | − | 5.12747i | − | 0.229537i | −0.993392 | − | 0.114768i | \(-0.963387\pi\) | ||
0.993392 | − | 0.114768i | \(-0.0366126\pi\) | |||||||
\(500\) | −6.27482 | − | 7.83397i | −0.280618 | − | 0.350346i | ||||
\(501\) | 11.7975 | + | 10.0880i | 0.527072 | + | 0.450700i | ||||
\(502\) | 16.8621 | − | 5.92054i | 0.752593 | − | 0.264247i | ||||
\(503\) | 6.16708 | 0.274976 | 0.137488 | − | 0.990503i | \(-0.456097\pi\) | ||||
0.137488 | + | 0.990503i | \(0.456097\pi\) | |||||||
\(504\) | −8.11844 | + | 20.9306i | −0.361624 | + | 0.932324i | ||||
\(505\) | 43.3297 | 1.92814 | ||||||||
\(506\) | −25.9244 | + | 9.10245i | −1.15248 | + | 0.404653i | ||||
\(507\) | 43.9442 | − | 15.5323i | 1.95163 | − | 0.689814i | ||||
\(508\) | −21.1900 | − | 26.4552i | −0.940153 | − | 1.17376i | ||||
\(509\) | − | 9.99588i | − | 0.443059i | −0.975154 | − | 0.221530i | \(-0.928895\pi\) | ||
0.975154 | − | 0.221530i | \(-0.0711050\pi\) | |||||||
\(510\) | 24.3714 | + | 9.44660i | 1.07918 | + | 0.418303i | ||||
\(511\) | 0.988806 | + | 31.0026i | 0.0437422 | + | 1.37147i | ||||
\(512\) | 22.5085 | + | 2.31710i | 0.994743 | + | 0.102402i | ||||
\(513\) | 0.305686 | − | 10.9344i | 0.0134964 | − | 0.482768i | ||||
\(514\) | −7.66208 | − | 21.8221i | −0.337960 | − | 0.962533i | ||||
\(515\) | −4.14289 | −0.182558 | ||||||||
\(516\) | −16.3052 | − | 10.1254i | −0.717796 | − | 0.445745i | ||||
\(517\) | 3.61116 | − | 6.25472i | 0.158819 | − | 0.275082i | ||||
\(518\) | −5.33097 | − | 0.827781i | −0.234229 | − | 0.0363706i | ||||
\(519\) | 7.09649 | − | 8.29901i | 0.311501 | − | 0.364286i | ||||
\(520\) | −45.3065 | + | 24.1313i | −1.98682 | + | 1.05823i | ||||
\(521\) | −10.2779 | − | 5.93396i | −0.450284 | − | 0.259971i | 0.257666 | − | 0.966234i | \(-0.417046\pi\) |
−0.707950 | + | 0.706263i | \(0.750380\pi\) | |||||||
\(522\) | 10.0178 | − | 5.38937i | 0.438466 | − | 0.235886i | ||||
\(523\) | −13.5741 | + | 7.83700i | −0.593553 | + | 0.342688i | −0.766501 | − | 0.642243i | \(-0.778004\pi\) |
0.172948 | + | 0.984931i | \(0.444671\pi\) | |||||||
\(524\) | 8.11973 | − | 6.50371i | 0.354712 | − | 0.284116i | ||||
\(525\) | 5.41347 | + | 13.8898i | 0.236263 | + | 0.606203i | ||||
\(526\) | 23.8279 | − | 8.36634i | 1.03895 | − | 0.364790i | ||||
\(527\) | 0.953686 | 0.0415432 | ||||||||
\(528\) | −22.5367 | − | 9.63412i | −0.980784 | − | 0.419271i | ||||
\(529\) | 7.16105 | 0.311350 | ||||||||
\(530\) | 1.70099 | − | 9.04285i | 0.0738863 | − | 0.392796i | ||||
\(531\) | −3.31119 | − | 21.0668i | −0.143693 | − | 0.914220i | ||||
\(532\) | 2.03395 | + | 10.9522i | 0.0881831 | + | 0.474837i | ||||
\(533\) | −33.1241 | + | 19.1242i | −1.43477 | + | 0.828362i | ||||
\(534\) | 12.9845 | + | 16.1418i | 0.561893 | + | 0.698526i | ||||
\(535\) | 9.09351 | − | 5.25014i | 0.393147 | − | 0.226983i | ||||
\(536\) | −0.710346 | + | 20.7658i | −0.0306823 | + | 0.896948i | ||||
\(537\) | 18.9428 | + | 16.1980i | 0.817440 | + | 0.698994i | ||||
\(538\) | 13.2437 | + | 2.49118i | 0.570974 | + | 0.107402i | ||||
\(539\) | −10.9900 | + | 22.1913i | −0.473373 | + | 0.955847i | ||||
\(540\) | −29.6267 | + | 3.68628i | −1.27493 | + | 0.158632i | ||||
\(541\) | 16.2898 | + | 28.2148i | 0.700354 | + | 1.21305i | 0.968342 | + | 0.249627i | \(0.0803079\pi\) |
−0.267988 | + | 0.963422i | \(0.586359\pi\) | |||||||
\(542\) | 1.07182 | − | 1.24817i | 0.0460386 | − | 0.0536135i | ||||
\(543\) | −7.54586 | + | 40.5802i | −0.323824 | + | 1.74146i | ||||
\(544\) | 8.29949 | − | 19.3034i | 0.355838 | − | 0.827625i | ||||
\(545\) | 36.2442 | + | 20.9256i | 1.55253 | + | 0.896353i | ||||
\(546\) | −40.2374 | + | 7.55927i | −1.72200 | + | 0.323507i | ||||
\(547\) | −14.3949 | + | 8.31091i | −0.615482 | + | 0.355349i | −0.775108 | − | 0.631829i | \(-0.782305\pi\) |
0.159626 | + | 0.987178i | \(0.448971\pi\) | |||||||
\(548\) | −16.3792 | − | 20.4490i | −0.699683 | − | 0.873538i | ||||
\(549\) | 13.2335 | − | 10.6905i | 0.564792 | − | 0.456258i | ||||
\(550\) | −15.3561 | + | 5.39176i | −0.654786 | + | 0.229905i | ||||
\(551\) | 2.82220 | − | 4.88819i | 0.120230 | − | 0.208244i | ||||
\(552\) | 19.8385 | + | 18.1741i | 0.844382 | + | 0.773543i | ||||
\(553\) | 32.7450 | − | 1.04438i | 1.39246 | − | 0.0444116i | ||||
\(554\) | 31.6781 | − | 11.1227i | 1.34587 | − | 0.472556i | ||||
\(555\) | −2.39087 | − | 6.76428i | −0.101487 | − | 0.287128i | ||||
\(556\) | −8.86087 | + | 1.35494i | −0.375785 | + | 0.0574621i | ||||
\(557\) | 9.30728 | + | 5.37356i | 0.394362 | + | 0.227685i | 0.684049 | − | 0.729436i | \(-0.260218\pi\) |
−0.289686 | + | 0.957122i | \(0.593551\pi\) | |||||||
\(558\) | −0.959297 | + | 0.516083i | −0.0406103 | + | 0.0218475i | ||||
\(559\) | − | 35.0023i | − | 1.48044i | ||||||
\(560\) | 28.7094 | − | 10.0058i | 1.21319 | − | 0.422824i | ||||
\(561\) | −14.7915 | + | 17.2979i | −0.624496 | + | 0.730318i | ||||
\(562\) | −6.48105 | + | 7.54741i | −0.273387 | + | 0.318368i | ||||
\(563\) | 0.348722 | + | 0.604004i | 0.0146969 | + | 0.0254557i | 0.873280 | − | 0.487218i | \(-0.161988\pi\) |
−0.858583 | + | 0.512674i | \(0.828655\pi\) | |||||||
\(564\) | −7.06852 | − | 0.227065i | −0.297638 | − | 0.00956116i | ||||
\(565\) | −20.3081 | + | 35.1746i | −0.854366 | + | 1.47981i | ||||
\(566\) | −17.5401 | + | 20.4261i | −0.737266 | + | 0.858573i | ||||
\(567\) | −23.4274 | − | 4.26101i | −0.983859 | − | 0.178946i | ||||
\(568\) | 13.5399 | − | 21.7028i | 0.568121 | − | 0.910627i | ||||
\(569\) | 5.08845 | + | 2.93782i | 0.213319 | + | 0.123160i | 0.602853 | − | 0.797852i | \(-0.294031\pi\) |
−0.389534 | + | 0.921012i | \(0.627364\pi\) | |||||||
\(570\) | −11.5429 | + | 9.28507i | −0.483478 | + | 0.388909i | ||||
\(571\) | 31.1397 | − | 17.9785i | 1.30316 | − | 0.752378i | 0.322213 | − | 0.946667i | \(-0.395573\pi\) |
0.980944 | + | 0.194289i | \(0.0622401\pi\) | |||||||
\(572\) | −6.75625 | − | 44.1839i | −0.282493 | − | 1.84742i | ||||
\(573\) | −7.23885 | − | 6.18994i | −0.302407 | − | 0.258589i | ||||
\(574\) | 21.1244 | − | 8.18247i | 0.881715 | − | 0.341530i | ||||
\(575\) | 17.8656 | 0.745048 | ||||||||
\(576\) | 2.09761 | + | 23.9082i | 0.0874005 | + | 0.996173i | ||||
\(577\) | −15.0558 | + | 26.0774i | −0.626782 | + | 1.08562i | 0.361411 | + | 0.932406i | \(0.382295\pi\) |
−0.988193 | + | 0.153212i | \(0.951038\pi\) | |||||||
\(578\) | 3.43664 | + | 2.95108i | 0.142946 | + | 0.122749i | ||||
\(579\) | −19.6686 | + | 6.95197i | −0.817400 | + | 0.288914i | ||||
\(580\) | −14.3524 | − | 5.59754i | −0.595951 | − | 0.232425i | ||||
\(581\) | −25.6345 | − | 13.7297i | −1.06350 | − | 0.569603i | ||||
\(582\) | 18.9181 | − | 15.2177i | 0.784178 | − | 0.630792i | ||||
\(583\) | 6.93870 | + | 4.00606i | 0.287372 | + | 0.165914i | ||||
\(584\) | 15.5885 | + | 29.2674i | 0.645058 | + | 1.21110i | ||||
\(585\) | −34.2141 | − | 42.3530i | −1.41458 | − | 1.75108i | ||||
\(586\) | 21.0403 | + | 3.95776i | 0.869168 | + | 0.163494i | ||||
\(587\) | 16.3434 | + | 28.3076i | 0.674563 | + | 1.16838i | 0.976596 | + | 0.215080i | \(0.0690014\pi\) |
−0.302033 | + | 0.953297i | \(0.597665\pi\) | |||||||
\(588\) | 24.2366 | − | 0.767457i | 0.999499 | − | 0.0316494i | ||||
\(589\) | −0.270252 | + | 0.468090i | −0.0111355 | + | 0.0192873i | ||||
\(590\) | −18.8147 | + | 21.9104i | −0.774591 | + | 0.902039i | ||||
\(591\) | −19.0905 | − | 3.54985i | −0.785277 | − | 0.146022i | ||||
\(592\) | −5.50380 | + | 1.72350i | −0.226205 | + | 0.0708352i | ||||
\(593\) | 23.5045 | − | 13.5704i | 0.965216 | − | 0.557268i | 0.0674416 | − | 0.997723i | \(-0.478516\pi\) |
0.897774 | + | 0.440455i | \(0.145183\pi\) | |||||||
\(594\) | 5.51780 | − | 25.4040i | 0.226398 | − | 1.04234i | ||||
\(595\) | −0.899997 | − | 28.2181i | −0.0368963 | − | 1.15683i | ||||
\(596\) | 10.5588 | + | 13.1825i | 0.432507 | + | 0.539975i | ||||
\(597\) | 20.4210 | − | 23.8814i | 0.835777 | − | 0.977401i | ||||
\(598\) | −9.07031 | + | 48.2198i | −0.370913 | + | 1.97185i | ||||
\(599\) | 23.5306 | + | 40.7562i | 0.961433 | + | 1.66525i | 0.718907 | + | 0.695107i | \(0.244643\pi\) |
0.242527 | + | 0.970145i | \(0.422024\pi\) | |||||||
\(600\) | 11.7512 | + | 10.7653i | 0.479739 | + | 0.439491i | ||||
\(601\) | 6.84978 | + | 11.8642i | 0.279408 | + | 0.483950i | 0.971238 | − | 0.238111i | \(-0.0765283\pi\) |
−0.691829 | + | 0.722061i | \(0.743195\pi\) | |||||||
\(602\) | −3.18096 | + | 20.4856i | −0.129646 | + | 0.834932i | ||||
\(603\) | −21.7711 | + | 3.42189i | −0.886588 | + | 0.139350i | ||||
\(604\) | −7.86706 | − | 9.82184i | −0.320106 | − | 0.399645i | ||||
\(605\) | − | 4.35225i | − | 0.176944i | ||||||
\(606\) | 36.5086 | − | 5.66041i | 1.48306 | − | 0.229938i | ||||
\(607\) | 44.1997i | 1.79401i | 0.442021 | + | 0.897005i | \(0.354262\pi\) | ||||
−0.442021 | + | 0.897005i | \(0.645738\pi\) | |||||||
\(608\) | 7.12264 | + | 9.54369i | 0.288861 | + | 0.387048i | ||||
\(609\) | −9.58814 | − | 7.68347i | −0.388531 | − | 0.311350i | ||||
\(610\) | −22.6417 | − | 4.25899i | −0.916736 | − | 0.172441i | ||||
\(611\) | −6.44866 | − | 11.1694i | −0.260885 | − | 0.451866i | ||||
\(612\) | 21.7688 | + | 4.77571i | 0.879953 | + | 0.193047i | ||||
\(613\) | 15.3894 | − | 26.6553i | 0.621573 | − | 1.07660i | −0.367620 | − | 0.929976i | \(-0.619827\pi\) |
0.989193 | − | 0.146620i | \(-0.0468394\pi\) | |||||||
\(614\) | −6.95681 | − | 19.8135i | −0.280754 | − | 0.799607i | ||||
\(615\) | 22.8966 | + | 19.5789i | 0.923282 | + | 0.789499i | ||||
\(616\) | −0.0611680 | + | 26.4733i | −0.00246453 | + | 1.06664i | ||||
\(617\) | 6.67742 | + | 3.85521i | 0.268823 | + | 0.155205i | 0.628353 | − | 0.777929i | \(-0.283730\pi\) |
−0.359530 | + | 0.933134i | \(0.617063\pi\) | |||||||
\(618\) | −3.49070 | + | 0.541210i | −0.140417 | + | 0.0217707i | ||||
\(619\) | − | 13.6833i | − | 0.549978i | −0.961447 | − | 0.274989i | \(-0.911326\pi\) | ||
0.961447 | − | 0.274989i | \(-0.0886743\pi\) | |||||||
\(620\) | 1.37438 | + | 0.536017i | 0.0551964 | + | 0.0215270i | ||||
\(621\) | −14.9535 | + | 24.3052i | −0.600061 | + | 0.975334i | ||||
\(622\) | −6.93253 | − | 5.95304i | −0.277969 | − | 0.238695i | ||||
\(623\) | 10.5645 | − | 19.7249i | 0.423259 | − | 0.790262i | ||||
\(624\) | −35.0218 | + | 26.2512i | −1.40199 | + | 1.05089i | ||||
\(625\) | −30.6829 | −1.22731 | ||||||||
\(626\) | −3.19748 | + | 16.9985i | −0.127797 | + | 0.679397i | ||||
\(627\) | −4.29864 | − | 12.1618i | −0.171671 | − | 0.485695i | ||||
\(628\) | 18.6259 | + | 7.26421i | 0.743253 | + | 0.289874i | ||||
\(629\) | 5.35559i | 0.213541i | ||||||||
\(630\) | 16.1754 | + | 27.8971i | 0.644442 | + | 1.11145i | ||||
\(631\) | 7.14717i | 0.284524i | 0.989829 | + | 0.142262i | \(0.0454376\pi\) | ||||
−0.989829 | + | 0.142262i | \(0.954562\pi\) | |||||||
\(632\) | 30.9124 | − | 16.4647i | 1.22963 | − | 0.654929i | ||||
\(633\) | −2.06764 | + | 2.41800i | −0.0821811 | + | 0.0961069i | ||||
\(634\) | 27.8381 | + | 5.23645i | 1.10559 | + | 0.207966i | ||||
\(635\) | −48.6875 | −1.93211 | ||||||||
\(636\) | 0.251896 | − | 7.84150i | 0.00998831 | − | 0.310936i | ||||
\(637\) | 24.5064 | + | 36.8103i | 0.970977 | + | 1.45848i | ||||
\(638\) | 8.73901 | − | 10.1769i | 0.345981 | − | 0.402907i | ||||
\(639\) | 25.3182 | + | 9.75301i | 1.00157 | + | 0.385823i | ||||
\(640\) | 22.8100 | − | 23.1538i | 0.901644 | − | 0.915235i | ||||
\(641\) | − | 45.7652i | − | 1.80762i | −0.427937 | − | 0.903809i | \(-0.640759\pi\) | ||
0.427937 | − | 0.903809i | \(-0.359241\pi\) | |||||||
\(642\) | 6.97612 | − | 5.61158i | 0.275325 | − | 0.221471i | ||||
\(643\) | 7.64287 | + | 4.41261i | 0.301405 | + | 0.174016i | 0.643074 | − | 0.765804i | \(-0.277659\pi\) |
−0.341669 | + | 0.939820i | \(0.610992\pi\) | |||||||
\(644\) | 9.69069 | − | 27.3971i | 0.381867 | − | 1.07960i | ||||
\(645\) | −25.9935 | + | 9.18753i | −1.02349 | + | 0.361759i | ||||
\(646\) | 10.4339 | − | 3.66350i | 0.410516 | − | 0.144138i | ||||
\(647\) | 9.24938 | − | 16.0204i | 0.363630 | − | 0.629826i | −0.624925 | − | 0.780685i | \(-0.714870\pi\) |
0.988555 | + | 0.150858i | \(0.0482037\pi\) | |||||||
\(648\) | −24.4812 | + | 6.97629i | −0.961714 | + | 0.274055i | ||||
\(649\) | −12.5736 | − | 21.7782i | −0.493559 | − | 0.854869i | ||||
\(650\) | −5.37272 | + | 28.5626i | −0.210735 | + | 1.12032i | ||||
\(651\) | 0.918155 | + | 0.735765i | 0.0359853 | + | 0.0288369i | ||||
\(652\) | −9.16528 | + | 23.5003i | −0.358940 | + | 0.920343i | ||||
\(653\) | 15.5423i | 0.608218i | 0.952637 | + | 0.304109i | \(0.0983586\pi\) | ||||
−0.952637 | + | 0.304109i | \(0.901641\pi\) | |||||||
\(654\) | 33.2721 | + | 12.8966i | 1.30104 | + | 0.504297i | ||||
\(655\) | − | 14.9434i | − | 0.583886i | ||||||
\(656\) | 16.3963 | − | 17.8232i | 0.640169 | − | 0.695880i | ||||
\(657\) | −27.3595 | + | 22.1019i | −1.06739 | + | 0.862277i | ||||
\(658\) | 2.75912 | + | 7.12311i | 0.107562 | + | 0.277688i | ||||
\(659\) | 24.9174 | + | 43.1582i | 0.970644 | + | 1.68120i | 0.693619 | + | 0.720342i | \(0.256015\pi\) |
0.277025 | + | 0.960863i | \(0.410652\pi\) | |||||||
\(660\) | −31.0385 | + | 16.6149i | −1.20817 | + | 0.646734i | ||||
\(661\) | −17.4624 | − | 30.2458i | −0.679209 | − | 1.17643i | −0.975219 | − | 0.221240i | \(-0.928989\pi\) |
0.296010 | − | 0.955185i | \(-0.404344\pi\) | |||||||
\(662\) | −38.2423 | − | 7.19351i | −1.48633 | − | 0.279584i | ||||
\(663\) | 13.5444 | + | 38.3201i | 0.526022 | + | 1.48823i | ||||
\(664\) | −31.0694 | − | 1.06280i | −1.20573 | − | 0.0412448i | ||||
\(665\) | 14.1051 | + | 7.55460i | 0.546972 | + | 0.292955i | ||||
\(666\) | −2.89815 | − | 5.38709i | −0.112301 | − | 0.208746i | ||||
\(667\) | −12.7522 | + | 7.36251i | −0.493769 | + | 0.285078i | ||||
\(668\) | −2.70929 | − | 17.7179i | −0.104825 | − | 0.685527i | ||||
\(669\) | −2.69258 | − | 7.61789i | −0.104101 | − | 0.294525i | ||||
\(670\) | 22.6430 | + | 19.4438i | 0.874775 | + | 0.751179i | ||||
\(671\) | 10.0305 | − | 17.3733i | 0.387222 | − | 0.670689i | ||||
\(672\) | 22.8827 | − | 12.1812i | 0.882720 | − | 0.469899i | ||||
\(673\) | −17.4451 | − | 30.2158i | −0.672459 | − | 1.16473i | −0.977205 | − | 0.212300i | \(-0.931905\pi\) |
0.304745 | − | 0.952434i | \(-0.401429\pi\) | |||||||
\(674\) | −3.67614 | + | 19.5432i | −0.141600 | + | 0.752775i | ||||
\(675\) | −8.85754 | + | 14.3970i | −0.340927 | + | 0.554140i | ||||
\(676\) | −50.1404 | − | 19.5551i | −1.92848 | − | 0.752119i | ||||
\(677\) | 22.1167 | + | 12.7691i | 0.850015 | + | 0.490757i | 0.860656 | − | 0.509187i | \(-0.170054\pi\) |
−0.0106407 | + | 0.999943i | \(0.503387\pi\) | |||||||
\(678\) | −12.5160 | + | 32.2902i | −0.480675 | + | 1.24010i | ||||
\(679\) | −23.1174 | − | 12.3815i | −0.887163 | − | 0.475159i | ||||
\(680\) | −14.1885 | − | 26.6388i | −0.544102 | − | 1.02155i | ||||
\(681\) | 4.18454 | − | 22.5037i | 0.160352 | − | 0.862343i | ||||
\(682\) | −0.836842 | + | 0.974533i | −0.0320443 | + | 0.0373168i | ||||
\(683\) | −0.707620 | + | 1.22563i | −0.0270763 | + | 0.0468976i | −0.879246 | − | 0.476368i | \(-0.841953\pi\) |
0.852170 | + | 0.523265i | \(0.175286\pi\) | |||||||
\(684\) | −8.51279 | + | 9.33130i | −0.325495 | + | 0.356791i | ||||
\(685\) | −37.6339 | −1.43792 | ||||||||
\(686\) | −10.9975 | − | 23.7709i | −0.419885 | − | 0.907577i | ||||
\(687\) | 4.81166 | − | 25.8762i | 0.183576 | − | 0.987239i | ||||
\(688\) | 6.62298 | + | 21.1498i | 0.252499 | + | 0.806327i | ||||
\(689\) | 12.3908 | − | 7.15385i | 0.472053 | − | 0.272540i | ||||
\(690\) | 38.1899 | − | 5.92109i | 1.45387 | − | 0.225412i | ||||
\(691\) | −25.7347 | − | 14.8580i | −0.978996 | − | 0.565223i | −0.0770289 | − | 0.997029i | \(-0.524543\pi\) |
−0.901967 | + | 0.431805i | \(0.857877\pi\) | |||||||
\(692\) | −12.4638 | + | 1.90587i | −0.473802 | + | 0.0724501i | ||||
\(693\) | −27.5856 | + | 5.24189i | −1.04789 | + | 0.199123i | ||||
\(694\) | 18.0557 | + | 15.5046i | 0.685384 | + | 0.588547i | ||||
\(695\) | −6.43789 | + | 11.1508i | −0.244203 | + | 0.422972i | ||||
\(696\) | −12.8242 | − | 2.84141i | −0.486102 | − | 0.107704i | ||||
\(697\) | −11.2444 | − | 19.4759i | −0.425913 | − | 0.737703i | ||||
\(698\) | −1.43693 | − | 1.23391i | −0.0543886 | − | 0.0467041i | ||||
\(699\) | −3.70617 | − | 10.4856i | −0.140180 | − | 0.396600i | ||||
\(700\) | 5.74019 | − | 16.2284i | 0.216959 | − | 0.613377i | ||||
\(701\) | − | 37.7345i | − | 1.42521i | −0.701565 | − | 0.712605i | \(-0.747515\pi\) | ||
0.701565 | − | 0.712605i | \(-0.252485\pi\) | |||||||
\(702\) | −34.3608 | − | 31.2160i | −1.29687 | − | 1.17817i | ||||
\(703\) | −2.62864 | − | 1.51765i | −0.0991410 | − | 0.0572391i | ||||
\(704\) | 12.4427 | + | 25.4193i | 0.468951 | + | 0.958024i | ||||
\(705\) | −6.60199 | + | 7.72071i | −0.248645 | + | 0.290779i | ||||
\(706\) | 0.682205 | + | 1.94297i | 0.0256751 | + | 0.0731245i | ||||
\(707\) | −21.0440 | − | 33.9050i | −0.791440 | − | 1.27513i | ||||
\(708\) | −12.9906 | + | 20.9191i | −0.488216 | + | 0.786188i | ||||
\(709\) | −2.19013 | + | 3.79342i | −0.0822521 | + | 0.142465i | −0.904217 | − | 0.427073i | \(-0.859545\pi\) |
0.821965 | + | 0.569538i | \(0.192878\pi\) | |||||||
\(710\) | −12.1726 | − | 34.6685i | −0.456831 | − | 1.30109i | ||||
\(711\) | 23.3441 | + | 28.8971i | 0.875471 | + | 1.08373i | ||||
\(712\) | 0.817792 | − | 23.9069i | 0.0306481 | − | 0.895948i | ||||
\(713\) | 1.22115 | − | 0.705030i | 0.0457324 | − | 0.0264036i | ||||
\(714\) | −4.44461 | − | 23.6583i | −0.166335 | − | 0.885390i | ||||
\(715\) | −55.6021 | − | 32.1019i | −2.07940 | − | 1.20054i | ||||
\(716\) | −4.35020 | − | 28.4490i | −0.162575 | − | 1.06319i | ||||
\(717\) | −14.5183 | − | 12.4146i | −0.542195 | − | 0.463631i | ||||
\(718\) | −1.23202 | − | 1.05795i | −0.0459784 | − | 0.0394822i | ||||
\(719\) | 21.7265 | + | 37.6314i | 0.810261 | + | 1.40341i | 0.912681 | + | 0.408672i | \(0.134008\pi\) |
−0.102421 | + | 0.994741i | \(0.532659\pi\) | |||||||
\(720\) | 28.6874 | + | 19.1175i | 1.06912 | + | 0.712467i | ||||
\(721\) | 2.01208 | + | 3.24177i | 0.0749339 | + | 0.120730i | ||||
\(722\) | 3.80865 | − | 20.2476i | 0.141743 | − | 0.753538i | ||||
\(723\) | 1.30469 | − | 7.01636i | 0.0485218 | − | 0.260941i | ||||
\(724\) | 37.1995 | − | 29.7959i | 1.38251 | − | 1.10735i | ||||
\(725\) | −7.55368 | + | 4.36112i | −0.280537 | + | 0.161968i | ||||
\(726\) | −0.568560 | − | 3.66710i | −0.0211012 | − | 0.136099i | ||||
\(727\) | 21.6003 | − | 12.4710i | 0.801112 | − | 0.462522i | −0.0427480 | − | 0.999086i | \(-0.513611\pi\) |
0.843860 | + | 0.536564i | \(0.180278\pi\) | |||||||
\(728\) | 40.8866 | + | 23.7320i | 1.51536 | + | 0.879568i | ||||
\(729\) | −12.1726 | − | 24.1004i | −0.450835 | − | 0.892607i | ||||
\(730\) | 46.8104 | + | 8.80520i | 1.73253 | + | 0.325895i | ||||
\(731\) | 20.5802 | 0.761187 | ||||||||
\(732\) | −19.6338 | − | 0.630703i | −0.725684 | − | 0.0233115i | ||||
\(733\) | −15.0009 | −0.554070 | −0.277035 | − | 0.960860i | \(-0.589352\pi\) | ||||
−0.277035 | + | 0.960860i | \(0.589352\pi\) | |||||||
\(734\) | −1.17890 | − | 3.35758i | −0.0435139 | − | 0.123930i | ||||
\(735\) | 20.9037 | − | 27.8611i | 0.771043 | − | 1.02767i | ||||
\(736\) | −3.64329 | − | 30.8526i | −0.134293 | − | 1.13724i | ||||
\(737\) | −22.5063 | + | 12.9940i | −0.829030 | + | 0.478641i | ||||
\(738\) | 21.8499 | + | 13.5056i | 0.804305 | + | 0.497149i | ||||
\(739\) | 3.08238 | + | 1.77962i | 0.113387 | + | 0.0654642i | 0.555621 | − | 0.831436i | \(-0.312481\pi\) |
−0.442234 | + | 0.896900i | \(0.645814\pi\) | |||||||
\(740\) | −3.01009 | + | 7.71805i | −0.110653 | + | 0.283721i | ||||
\(741\) | −22.6465 | − | 4.21110i | −0.831940 | − | 0.154698i | ||||
\(742\) | −7.90206 | + | 3.06084i | −0.290094 | + | 0.112367i | ||||
\(743\) | −24.3308 | + | 42.1422i | −0.892610 | + | 1.54605i | −0.0558753 | + | 0.998438i | \(0.517795\pi\) |
−0.836735 | + | 0.547608i | \(0.815538\pi\) | |||||||
\(744\) | 1.22804 | + | 0.272092i | 0.0450222 | + | 0.00997538i | ||||
\(745\) | 24.2607 | 0.888844 | ||||||||
\(746\) | 5.28081 | − | 1.85417i | 0.193344 | − | 0.0678861i | ||||
\(747\) | −5.11975 | − | 32.5734i | −0.187322 | − | 1.19180i | ||||
\(748\) | 25.9787 | − | 3.97246i | 0.949875 | − | 0.145247i | ||||
\(749\) | −8.52464 | − | 4.56574i | −0.311484 | − | 0.166829i | ||||
\(750\) | −12.1478 | + | 1.88344i | −0.443575 | + | 0.0687734i | ||||
\(751\) | − | 21.4737i | − | 0.783588i | −0.920053 | − | 0.391794i | \(-0.871855\pi\) | ||
0.920053 | − | 0.391794i | \(-0.128145\pi\) | |||||||
\(752\) | 6.00996 | + | 5.52881i | 0.219161 | + | 0.201615i | ||||
\(753\) | 4.00143 | − | 21.5189i | 0.145820 | − | 0.784194i | ||||
\(754\) | −7.93580 | − | 22.6017i | −0.289005 | − | 0.823105i | ||||
\(755\) | −18.0759 | −0.657849 | ||||||||
\(756\) | 17.2733 | + | 21.3923i | 0.628225 | + | 0.778031i | ||||
\(757\) | 2.47427 | 0.0899289 | 0.0449645 | − | 0.998989i | \(-0.485683\pi\) | ||||
0.0449645 | + | 0.998989i | \(0.485683\pi\) | |||||||
\(758\) | −2.62304 | − | 7.47060i | −0.0952731 | − | 0.271344i | ||||
\(759\) | −6.15193 | + | 33.0840i | −0.223301 | + | 1.20087i | ||||
\(760\) | 17.0956 | + | 0.584795i | 0.620122 | + | 0.0212128i | ||||
\(761\) | 45.0235i | 1.63210i | 0.577980 | + | 0.816051i | \(0.303841\pi\) | ||||
−0.577980 | + | 0.816051i | \(0.696159\pi\) | |||||||
\(762\) | −41.0230 | + | 6.36034i | −1.48611 | + | 0.230411i | ||||
\(763\) | −1.22869 | − | 38.5237i | −0.0444814 | − | 1.39465i | ||||
\(764\) | 1.66240 | + | 10.8716i | 0.0601435 | + | 0.393320i | ||||
\(765\) | 24.9022 | − | 20.1168i | 0.900340 | − | 0.727325i | ||||
\(766\) | −34.8105 | + | 12.2225i | −1.25775 | + | 0.441617i | ||||
\(767\) | −44.9070 | −1.62150 | ||||||||
\(768\) | 16.1944 | − | 22.4887i | 0.584367 | − | 0.811490i | ||||
\(769\) | −7.14970 | + | 12.3836i | −0.257825 | + | 0.446566i | −0.965659 | − | 0.259813i | \(-0.916339\pi\) |
0.707834 | + | 0.706379i | \(0.249672\pi\) | |||||||
\(770\) | 29.6246 | + | 23.8412i | 1.06760 | + | 0.859176i | ||||
\(771\) | −27.8488 | − | 5.17845i | −1.00295 | − | 0.186497i | ||||
\(772\) | 22.4419 | + | 8.75250i | 0.807702 | + | 0.315009i | ||||
\(773\) | 42.1150 | + | 24.3151i | 1.51477 | + | 0.874553i | 0.999850 | + | 0.0173147i | \(0.00551170\pi\) |
0.514920 | + | 0.857238i | \(0.327822\pi\) | |||||||
\(774\) | −20.7013 | + | 11.1369i | −0.744092 | + | 0.400307i | ||||
\(775\) | 0.723336 | − | 0.417618i | 0.0259830 | − | 0.0150013i | ||||
\(776\) | −28.0186 | − | 0.958443i | −1.00581 | − | 0.0344061i | ||||
\(777\) | −4.13181 | + | 5.15605i | −0.148228 | + | 0.184972i | ||||
\(778\) | −3.00192 | − | 8.54968i | −0.107624 | − | 0.306521i | ||||
\(779\) | 12.7456 | 0.456659 | ||||||||
\(780\) | −2.01852 | + | 62.8365i | −0.0722747 | + | 2.24991i | ||||
\(781\) | 31.9942 | 1.14484 | ||||||||
\(782\) | −28.3517 | − | 5.33305i | −1.01385 | − | 0.190710i | ||||
\(783\) | 0.389335 | − | 13.9266i | 0.0139137 | − | 0.497696i | ||||
\(784\) | −21.7728 | − | 17.6053i | −0.777600 | − | 0.628759i | ||||
\(785\) | 24.8697 | − | 14.3585i | 0.887639 | − | 0.512478i | ||||
\(786\) | −1.95214 | − | 12.5909i | −0.0696305 | − | 0.449104i | ||||
\(787\) | −33.7450 | + | 19.4827i | −1.20288 | + | 0.694482i | −0.961194 | − | 0.275873i | \(-0.911033\pi\) |
−0.241684 | + | 0.970355i | \(0.577700\pi\) | |||||||
\(788\) | 14.0171 | + | 17.5000i | 0.499338 | + | 0.623413i | ||||
\(789\) | 5.65443 | − | 30.4085i | 0.201303 | − | 1.08257i | ||||
\(790\) | 9.30008 | − | 49.4413i | 0.330882 | − | 1.75904i | ||||
\(791\) | 37.3868 | − | 1.19243i | 1.32932 | − | 0.0423978i | ||||
\(792\) | −23.9818 | + | 18.0541i | −0.852158 | + | 0.641523i | ||||
\(793\) | −17.9120 | − | 31.0245i | −0.636074 | − | 1.10171i | ||||
\(794\) | 24.7768 | + | 21.2762i | 0.879297 | + | 0.755062i | ||||
\(795\) | −8.56501 | − | 7.32395i | −0.303770 | − | 0.259754i | ||||
\(796\) | −35.8661 | + | 5.48436i | −1.27124 | + | 0.194388i | ||||
\(797\) | −26.8665 | − | 15.5114i | −0.951662 | − | 0.549442i | −0.0580649 | − | 0.998313i | \(-0.518493\pi\) |
−0.893597 | + | 0.448871i | \(0.851826\pi\) | |||||||
\(798\) | 12.8715 | + | 4.52269i | 0.455647 | + | 0.160102i | ||||
\(799\) | 6.56725 | − | 3.79161i | 0.232333 | − | 0.134137i | ||||
\(800\) | −2.15807 | − | 18.2752i | −0.0762993 | − | 0.646127i | ||||
\(801\) | 25.0642 | − | 3.93949i | 0.885600 | − | 0.139195i | ||||
\(802\) | −15.3852 | − | 43.8180i | −0.543269 | − | 1.54727i | ||||
\(803\) | −20.7374 | + | 35.9183i | −0.731807 | + | 1.26753i | ||||
\(804\) | 21.6185 | + | 13.4249i | 0.762426 | + | 0.473459i | ||||
\(805\) | −22.0131 | − | 35.4665i | −0.775861 | − | 1.25003i | ||||
\(806\) | 0.759927 | + | 2.16433i | 0.0267673 | + | 0.0762351i | ||||
\(807\) | 10.7263 | − | 12.5438i | 0.377582 | − | 0.441564i | ||||
\(808\) | −36.1939 | − | 22.5806i | −1.27330 | − | 0.794384i | ||||
\(809\) | 5.35787 | + | 3.09337i | 0.188373 | + | 0.108757i | 0.591221 | − | 0.806510i | \(-0.298646\pi\) |
−0.402848 | + | 0.915267i | \(0.631980\pi\) | |||||||
\(810\) | −14.1626 | + | 33.7108i | −0.497622 | + | 1.18448i | ||||
\(811\) | − | 6.48257i | − | 0.227634i | −0.993502 | − | 0.113817i | \(-0.963692\pi\) | ||
0.993502 | − | 0.113817i | \(-0.0363077\pi\) | |||||||
\(812\) | 2.59054 | + | 13.9492i | 0.0909100 | + | 0.489521i | ||||
\(813\) | −0.671490 | − | 1.89979i | −0.0235502 | − | 0.0666285i | ||||
\(814\) | −5.47265 | − | 4.69943i | −0.191816 | − | 0.164715i | ||||
\(815\) | 18.1162 | + | 31.3782i | 0.634584 | + | 1.09913i | ||||
\(816\) | −15.4348 | − | 20.5917i | −0.540327 | − | 0.720854i | ||||
\(817\) | −5.83194 | + | 10.1012i | −0.204034 | + | 0.353397i | ||||
\(818\) | −7.84081 | − | 6.73299i | −0.274148 | − | 0.235414i | ||||
\(819\) | −16.5240 | + | 47.3418i | −0.577394 | + | 1.65426i | ||||
\(820\) | −5.25821 | − | 34.3871i | −0.183625 | − | 1.20085i | ||||
\(821\) | −22.9617 | − | 13.2569i | −0.801369 | − | 0.462670i | 0.0425809 | − | 0.999093i | \(-0.486442\pi\) |
−0.843949 | + | 0.536423i | \(0.819775\pi\) | |||||||
\(822\) | −31.7094 | + | 4.91633i | −1.10599 | + | 0.171477i | ||||
\(823\) | −22.3440 | + | 12.9003i | −0.778862 | + | 0.449676i | −0.836027 | − | 0.548688i | \(-0.815127\pi\) |
0.0571645 | + | 0.998365i | \(0.481794\pi\) | |||||||
\(824\) | 3.46062 | + | 2.15901i | 0.120556 | + | 0.0752126i | ||||
\(825\) | −3.64404 | + | 19.5970i | −0.126869 | + | 0.682280i | ||||
\(826\) | 26.2825 | + | 4.08108i | 0.914485 | + | 0.141999i | ||||
\(827\) | 40.3698 | 1.40379 | 0.701897 | − | 0.712278i | \(-0.252337\pi\) | ||||
0.701897 | + | 0.712278i | \(0.252337\pi\) | |||||||
\(828\) | 31.4044 | − | 9.97795i | 1.09138 | − | 0.346758i | ||||
\(829\) | −13.9633 | + | 24.1851i | −0.484965 | + | 0.839984i | −0.999851 | − | 0.0172749i | \(-0.994501\pi\) |
0.514886 | + | 0.857259i | \(0.327834\pi\) | |||||||
\(830\) | −29.0913 | + | 33.8779i | −1.00978 | + | 1.17592i | ||||
\(831\) | 7.51729 | − | 40.4266i | 0.260772 | − | 1.40238i | ||||
\(832\) | 50.4210 | + | 3.45358i | 1.74803 | + | 0.119731i | ||||
\(833\) | −21.6433 | + | 14.4090i | −0.749895 | + | 0.499241i | ||||
\(834\) | −3.96773 | + | 10.2364i | −0.137391 | + | 0.354457i | ||||
\(835\) | −22.2967 | − | 12.8730i | −0.771609 | − | 0.445489i | ||||
\(836\) | −5.41197 | + | 13.8766i | −0.187177 | + | 0.479933i | ||||
\(837\) | −0.0372825 | + | 1.33360i | −0.00128867 | + | 0.0460961i | ||||
\(838\) | −2.29899 | + | 12.2219i | −0.0794172 | + | 0.422200i | ||||
\(839\) | 6.10301 | + | 10.5707i | 0.210699 | + | 0.364942i | 0.951934 | − | 0.306305i | \(-0.0990926\pi\) |
−0.741234 | + | 0.671246i | \(0.765759\pi\) | |||||||
\(840\) | 6.89187 | − | 36.5926i | 0.237792 | − | 1.26257i | ||||
\(841\) | −10.9055 | + | 18.8889i | −0.376053 | + | 0.651342i | ||||
\(842\) | −40.0370 | − | 34.3802i | −1.37977 | − | 1.18482i | ||||
\(843\) | 4.06035 | + | 11.4876i | 0.139846 | + | 0.395654i | ||||
\(844\) | 3.63145 | − | 0.555294i | 0.125000 | − | 0.0191140i | ||||
\(845\) | −66.9488 | + | 38.6529i | −2.30311 | + | 1.32970i | ||||
\(846\) | −4.55408 | + | 7.36775i | −0.156572 | + | 0.253308i | ||||
\(847\) | −3.40559 | + | 2.11376i | −0.117018 | + | 0.0726297i | ||||
\(848\) | −6.13342 | + | 6.66718i | −0.210622 | + | 0.228952i | ||||
\(849\) | 10.9888 | + | 31.0897i | 0.377135 | + | 1.06699i | ||||
\(850\) | −16.7939 | − | 3.15899i | −0.576025 | − | 0.108352i | ||||
\(851\) | 3.95921 | + | 6.85756i | 0.135720 | + | 0.235074i | ||||
\(852\) | −14.7853 | − | 27.6207i | −0.506537 | − | 0.946269i | ||||
\(853\) | −4.47707 | − | 7.75452i | −0.153292 | − | 0.265510i | 0.779144 | − | 0.626845i | \(-0.215654\pi\) |
−0.932436 | + | 0.361336i | \(0.882321\pi\) | |||||||
\(854\) | 7.66381 | + | 19.7854i | 0.262250 | + | 0.677042i | ||||
\(855\) | 2.81709 | + | 17.9232i | 0.0963423 | + | 0.612959i | ||||
\(856\) | −10.3320 | − | 0.353430i | −0.353140 | − | 0.0120800i | ||||
\(857\) | 16.2364i | 0.554626i | 0.960780 | + | 0.277313i | \(0.0894439\pi\) | ||||
−0.960780 | + | 0.277313i | \(0.910556\pi\) | |||||||
\(858\) | −51.0427 | − | 19.7847i | −1.74257 | − | 0.675438i | ||||
\(859\) | 33.8234i | 1.15404i | 0.816731 | + | 0.577019i | \(0.195784\pi\) | ||||
−0.816731 | + | 0.577019i | \(0.804216\pi\) | |||||||
\(860\) | 29.6586 | + | 11.5671i | 1.01135 | + | 0.394433i | ||||
\(861\) | 4.20009 | − | 27.4253i | 0.143139 | − | 0.934653i | ||||
\(862\) | −5.85891 | + | 31.1473i | −0.199555 | + | 1.06088i | ||||
\(863\) | −10.1074 | − | 17.5066i | −0.344062 | − | 0.595932i | 0.641121 | − | 0.767440i | \(-0.278470\pi\) |
−0.985183 | + | 0.171507i | \(0.945136\pi\) | |||||||
\(864\) | 26.6687 | + | 12.3604i | 0.907289 | + | 0.420508i | ||||
\(865\) | −9.05560 | + | 15.6848i | −0.307900 | + | 0.533298i | ||||
\(866\) | 54.7738 | − | 19.2319i | 1.86129 | − | 0.653527i | ||||
\(867\) | 5.23077 | − | 1.84884i | 0.177646 | − | 0.0627899i | ||||
\(868\) | −0.248068 | − | 1.33577i | −0.00841998 | − | 0.0453389i | ||||
\(869\) | 37.9370 | + | 21.9029i | 1.28692 | + | 0.743005i | ||||
\(870\) | −14.7015 | + | 11.8259i | −0.498428 | + | 0.400935i | ||||
\(871\) | 46.4083i | 1.57249i | ||||||||
\(872\) | −19.3702 | − | 36.3676i | −0.655959 | − | 1.23156i | ||||
\(873\) | −4.61703 | − | 29.3750i | −0.156263 | − | 0.994191i | ||||
\(874\) | 10.6518 | − | 12.4044i | 0.360302 | − | 0.419584i | ||||
\(875\) | 7.00214 | + | 11.2815i | 0.236716 | + | 0.381385i | ||||
\(876\) | 40.5916 | + | 1.30394i | 1.37146 | + | 0.0440561i | ||||
\(877\) | −22.3432 | −0.754475 | −0.377237 | − | 0.926117i | \(-0.623126\pi\) | ||||
−0.377237 | + | 0.926117i | \(0.623126\pi\) | |||||||
\(878\) | 54.2411 | + | 10.2029i | 1.83055 | + | 0.344333i | ||||
\(879\) | 17.0409 | − | 19.9285i | 0.574776 | − | 0.672173i | ||||
\(880\) | 39.6712 | + | 8.87645i | 1.33732 | + | 0.299225i | ||||
\(881\) | − | 50.5729i | − | 1.70384i | −0.523669 | − | 0.851922i | \(-0.675437\pi\) | ||
0.523669 | − | 0.851922i | \(-0.324563\pi\) | |||||||
\(882\) | 13.9733 | − | 26.2059i | 0.470504 | − | 0.882398i | ||||
\(883\) | 48.7254i | 1.63974i | 0.572549 | + | 0.819870i | \(0.305954\pi\) | ||||
−0.572549 | + | 0.819870i | \(0.694046\pi\) | |||||||
\(884\) | 17.0524 | − | 43.7233i | 0.573533 | − | 1.47057i | ||||
\(885\) | 11.7874 | + | 33.3489i | 0.396228 | + | 1.12101i | ||||
\(886\) | −3.82273 | + | 20.3225i | −0.128427 | + | 0.682747i | ||||
\(887\) | 28.4596 | 0.955581 | 0.477791 | − | 0.878474i | \(-0.341438\pi\) | ||||
0.477791 | + | 0.878474i | \(0.341438\pi\) | |||||||
\(888\) | −1.52798 | + | 6.89628i | −0.0512756 | + | 0.231424i | ||||
\(889\) | 23.6461 | + | 38.0975i | 0.793066 | + | 1.27775i | ||||
\(890\) | −26.0680 | − | 22.3848i | −0.873800 | − | 0.750342i | ||||
\(891\) | −23.6106 | − | 21.3601i | −0.790984 | − | 0.715590i | ||||
\(892\) | −3.38995 | + | 8.69202i | −0.113504 | + | 0.291030i | ||||
\(893\) | 4.29780i | 0.143821i | ||||||||
\(894\) | 20.4415 | − | 3.16932i | 0.683666 | − | 0.105998i | ||||
\(895\) | −35.8009 | − | 20.6697i | −1.19669 | − | 0.690911i | ||||
\(896\) | −29.1958 | − | 6.60345i | −0.975363 | − | 0.220606i | ||||
\(897\) | 45.6718 | + | 39.0540i | 1.52494 | + | 1.30397i | ||||
\(898\) | −2.29377 | − | 6.53282i | −0.0765442 | − | 0.218003i | ||||
\(899\) | −0.344205 | + | 0.596181i | −0.0114799 | + | 0.0198837i | ||||
\(900\) | 18.6021 | − | 5.91035i | 0.620071 | − | 0.197012i | ||||
\(901\) | 4.20624 | + | 7.28541i | 0.140130 | + | 0.242712i | ||||
\(902\) | 29.7684 | + | 5.59955i | 0.991180 | + | 0.186445i | ||||
\(903\) | 19.8134 | + | 15.8775i | 0.659350 | + | 0.528371i | ||||
\(904\) | 35.2944 | − | 18.7986i | 1.17387 | − | 0.625233i | ||||
\(905\) | − | 68.4610i | − | 2.27572i | ||||||
\(906\) | −15.2303 | + | 2.36136i | −0.505994 | + | 0.0784509i | ||||
\(907\) | 16.6344i | 0.552337i | 0.961109 | + | 0.276168i | \(0.0890647\pi\) | ||||
−0.961109 | + | 0.276168i | \(0.910935\pi\) | |||||||
\(908\) | −20.6289 | + | 16.5232i | −0.684594 | + | 0.548343i | ||||
\(909\) | 16.2652 | − | 42.2234i | 0.539483 | − | 1.40046i | ||||
\(910\) | 63.3218 | − | 24.5275i | 2.09910 | − | 0.813080i | ||||
\(911\) | −20.7017 | − | 35.8564i | −0.685877 | − | 1.18797i | −0.973160 | − | 0.230129i | \(-0.926085\pi\) |
0.287283 | − | 0.957846i | \(-0.407248\pi\) | |||||||
\(912\) | 14.4807 | − | 1.74056i | 0.479505 | − | 0.0576357i | ||||
\(913\) | −19.4414 | − | 33.6734i | −0.643415 | − | 1.11443i | ||||
\(914\) | −7.58558 | + | 40.3266i | −0.250909 | + | 1.33389i | ||||
\(915\) | −18.3379 | + | 21.4453i | −0.606232 | + | 0.708960i | ||||
\(916\) | −23.7204 | + | 18.9995i | −0.783746 | + | 0.627761i | ||||
\(917\) | −11.6930 | + | 7.25757i | −0.386138 | + | 0.239666i | ||||
\(918\) | 18.3540 | − | 20.2031i | 0.605773 | − | 0.666801i | ||||
\(919\) | −32.1594 | + | 18.5672i | −1.06084 | + | 0.612476i | −0.925664 | − | 0.378346i | \(-0.876493\pi\) |
−0.135175 | + | 0.990822i | \(0.543160\pi\) | |||||||
\(920\) | −37.8608 | − | 23.6206i | −1.24823 | − | 0.778747i | ||||
\(921\) | −25.2854 | − | 4.70179i | −0.833181 | − | 0.154929i | ||||
\(922\) | 7.02186 | − | 8.17720i | 0.231253 | − | 0.269302i | ||||
\(923\) | 28.5669 | − | 49.4794i | 0.940292 | − | 1.62863i | ||||
\(924\) | 28.0755 | + | 16.2180i | 0.923617 | + | 0.533532i | ||||
\(925\) | 2.34521 | + | 4.06202i | 0.0771099 | + | 0.133558i | ||||
\(926\) | 18.3646 | + | 3.45444i | 0.603497 | + | 0.113520i | ||||
\(927\) | −1.55517 | + | 4.03712i | −0.0510785 | + | 0.132596i | ||||
\(928\) | 9.07172 | + | 12.1553i | 0.297794 | + | 0.399016i | ||||
\(929\) | 29.0451 | + | 16.7692i | 0.952939 | + | 0.550180i | 0.893993 | − | 0.448081i | \(-0.147893\pi\) |
0.0589466 | + | 0.998261i | \(0.481226\pi\) | |||||||
\(930\) | 1.40781 | − | 1.13244i | 0.0461639 | − | 0.0371342i | ||||
\(931\) | −0.939041 | − | 14.7062i | −0.0307758 | − | 0.481975i | ||||
\(932\) | −4.66605 | + | 11.9640i | −0.152842 | + | 0.391895i | ||||
\(933\) | −10.5517 | + | 3.72956i | −0.345447 | + | 0.122100i | ||||
\(934\) | 10.1187 | + | 8.68907i | 0.331095 | + | 0.284315i | ||||
\(935\) | 18.8749 | − | 32.6923i | 0.617275 | − | 1.06915i | ||||
\(936\) | 6.50795 | + | 53.2083i | 0.212719 | + | 1.73917i | ||||
\(937\) | 20.2579 | 0.661796 | 0.330898 | − | 0.943666i | \(-0.392648\pi\) | ||||
0.330898 | + | 0.943666i | \(0.392648\pi\) | |||||||
\(938\) | 4.21753 | − | 27.1612i | 0.137707 | − | 0.886845i | ||||
\(939\) | 16.1003 | + | 13.7674i | 0.525413 | + | 0.449281i | ||||
\(940\) | 11.5953 | − | 1.77306i | 0.378196 | − | 0.0578308i | ||||
\(941\) | −6.81838 | + | 3.93660i | −0.222273 | + | 0.128329i | −0.607002 | − | 0.794700i | \(-0.707628\pi\) |
0.384729 | + | 0.923029i | \(0.374295\pi\) | |||||||
\(942\) | 19.0789 | − | 15.3471i | 0.621625 | − | 0.500034i | ||||
\(943\) | −28.7959 | − | 16.6253i | −0.937723 | − | 0.541394i | ||||
\(944\) | 27.1346 | − | 8.49710i | 0.883155 | − | 0.276557i | ||||
\(945\) | 39.4944 | − | 0.155395i | 1.28475 | − | 0.00505500i | ||||
\(946\) | −18.0588 | + | 21.0301i | −0.587141 | + | 0.683747i | ||||
\(947\) | −17.7016 | + | 30.6601i | −0.575225 | + | 0.996319i | 0.420792 | + | 0.907157i | \(0.361752\pi\) |
−0.996017 | + | 0.0891620i | \(0.971581\pi\) | |||||||
\(948\) | 1.37723 | − | 42.8730i | 0.0447302 | − | 1.39245i | ||||
\(949\) | 37.0320 | + | 64.1413i | 1.20211 | + | 2.08211i | ||||
\(950\) | 6.30948 | − | 7.34762i | 0.204707 | − | 0.238388i | ||||
\(951\) | 22.5466 | − | 26.3671i | 0.731123 | − | 0.855013i | ||||
\(952\) | −13.9537 | + | 24.0400i | −0.452241 | + | 0.779142i | ||||
\(953\) | − | 23.9458i | − | 0.775681i | −0.921727 | − | 0.387840i | \(-0.873221\pi\) | ||
0.921727 | − | 0.387840i | \(-0.126779\pi\) | |||||||
\(954\) | −8.17345 | − | 5.05209i | −0.264625 | − | 0.163567i | ||||
\(955\) | 13.6811 | + | 7.89878i | 0.442710 | + | 0.255599i | ||||
\(956\) | 3.33412 | + | 21.8041i | 0.107833 | + | 0.705196i | ||||
\(957\) | −5.47495 | − | 15.4898i | −0.176980 | − | 0.500714i | ||||
\(958\) | 5.25767 | − | 1.84605i | 0.169867 | − | 0.0596430i | ||||
\(959\) | 18.2777 | + | 29.4481i | 0.590217 | + | 0.950930i | ||||
\(960\) | −10.6700 | − | 38.3503i | −0.344372 | − | 1.23775i | ||||
\(961\) | −15.4670 | + | 26.7897i | −0.498937 | + | 0.864184i | ||||
\(962\) | −12.1541 | + | 4.26750i | −0.391865 | + | 0.137590i | ||||
\(963\) | −1.70255 | − | 10.8322i | −0.0548640 | − | 0.349061i | ||||
\(964\) | −6.43182 | + | 5.15173i | −0.207155 | + | 0.165926i | ||||
\(965\) | 29.9650 | − | 17.3003i | 0.964609 | − | 0.556917i | ||||
\(966\) | −23.1810 | − | 27.0075i | −0.745835 | − | 0.868954i | ||||
\(967\) | −2.20834 | − | 1.27499i | −0.0710154 | − | 0.0410008i | 0.464072 | − | 0.885798i | \(-0.346388\pi\) |
−0.535087 | + | 0.844797i | \(0.679721\pi\) | |||||||
\(968\) | −2.26811 | + | 3.63550i | −0.0728999 | + | 0.116849i | ||||
\(969\) | 2.47599 | − | 13.3154i | 0.0795402 | − | 0.427753i | ||||
\(970\) | −26.2348 | + | 30.5513i | −0.842348 | + | 0.980944i | ||||
\(971\) | −18.4002 | − | 31.8700i | −0.590489 | − | 1.02276i | −0.994167 | − | 0.107856i | \(-0.965601\pi\) |
0.403677 | − | 0.914901i | \(-0.367732\pi\) | |||||||
\(972\) | −7.52920 | + | 30.2541i | −0.241499 | + | 0.970401i | ||||
\(973\) | 11.8521 | − | 0.378013i | 0.379959 | − | 0.0121185i | ||||
\(974\) | −47.7425 | − | 8.98054i | −1.52977 | − | 0.287755i | ||||
\(975\) | 27.0533 | + | 23.1333i | 0.866398 | + | 0.740858i | ||||
\(976\) | 16.6935 | + | 15.3570i | 0.534345 | + | 0.491566i | ||||
\(977\) | −13.2746 | + | 7.66408i | −0.424691 | + | 0.245196i | −0.697082 | − | 0.716991i | \(-0.745519\pi\) |
0.272391 | + | 0.962187i | \(0.412185\pi\) | |||||||
\(978\) | 19.3634 | + | 24.0719i | 0.619174 | + | 0.769735i | ||||
\(979\) | 25.9106 | − | 14.9595i | 0.828107 | − | 0.478108i | ||||
\(980\) | −39.2891 | + | 8.60052i | −1.25505 | + | 0.274733i | ||||
\(981\) | 33.9967 | − | 27.4637i | 1.08543 | − | 0.876848i | ||||
\(982\) | −8.07069 | + | 42.9056i | −0.257546 | + | 1.36917i | ||||
\(983\) | −8.73571 | −0.278626 | −0.139313 | − | 0.990248i | \(-0.544489\pi\) | ||||
−0.139313 | + | 0.990248i | \(0.544489\pi\) | |||||||
\(984\) | −8.92263 | − | 28.2869i | −0.284443 | − | 0.901752i | ||||
\(985\) | 32.2066 | 1.02619 | ||||||||
\(986\) | 13.2891 | − | 4.66599i | 0.423210 | − | 0.148595i | ||||
\(987\) | 9.24778 | + | 1.41626i | 0.294360 | + | 0.0450802i | ||||
\(988\) | 16.6281 | + | 20.7598i | 0.529011 | + | 0.660458i | ||||
\(989\) | 26.3519 | − | 15.2143i | 0.837943 | − | 0.483787i | ||||
\(990\) | −1.29467 | + | 43.0986i | −0.0411473 | + | 1.36976i | ||||
\(991\) | 14.8582 | + | 8.57839i | 0.471986 | + | 0.272501i | 0.717071 | − | 0.697000i | \(-0.245482\pi\) |
−0.245084 | + | 0.969502i | \(0.578816\pi\) | |||||||
\(992\) | −0.868702 | − | 1.16398i | −0.0275813 | − | 0.0369564i | ||||
\(993\) | −30.9731 | + | 36.2215i | −0.982900 | + | 1.14946i | ||||
\(994\) | −21.2159 | + | 26.3625i | −0.672926 | + | 0.836166i | ||||
\(995\) | −26.0586 | + | 45.1348i | −0.826113 | + | 1.43087i | ||||
\(996\) | −20.0860 | + | 32.3451i | −0.636450 | + | 1.02489i | ||||
\(997\) | 16.8766 | 0.534487 | 0.267243 | − | 0.963629i | \(-0.413887\pi\) | ||||
0.267243 | + | 0.963629i | \(0.413887\pi\) | |||||||
\(998\) | 2.40228 | + | 6.84185i | 0.0760427 | + | 0.216575i | ||||
\(999\) | −7.48907 | − | 0.209366i | −0.236944 | − | 0.00662405i |
(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 | 252.2.o.a.95.4 | ✓ | 88 | |
3.2 | odd | 2 | 756.2.o.a.179.41 | 88 | |||
4.3 | odd | 2 | inner | 252.2.o.a.95.19 | yes | 88 | |
7.2 | even | 3 | 252.2.bb.a.23.34 | yes | 88 | ||
9.2 | odd | 6 | 252.2.bb.a.11.11 | yes | 88 | ||
9.7 | even | 3 | 756.2.bb.a.683.34 | 88 | |||
12.11 | even | 2 | 756.2.o.a.179.26 | 88 | |||
21.2 | odd | 6 | 756.2.bb.a.611.11 | 88 | |||
28.23 | odd | 6 | 252.2.bb.a.23.11 | yes | 88 | ||
36.7 | odd | 6 | 756.2.bb.a.683.11 | 88 | |||
36.11 | even | 6 | 252.2.bb.a.11.34 | yes | 88 | ||
63.2 | odd | 6 | inner | 252.2.o.a.191.19 | yes | 88 | |
63.16 | even | 3 | 756.2.o.a.359.26 | 88 | |||
84.23 | even | 6 | 756.2.bb.a.611.34 | 88 | |||
252.79 | odd | 6 | 756.2.o.a.359.41 | 88 | |||
252.191 | even | 6 | inner | 252.2.o.a.191.4 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.o.a.95.4 | ✓ | 88 | 1.1 | even | 1 | trivial | |
252.2.o.a.95.19 | yes | 88 | 4.3 | odd | 2 | inner | |
252.2.o.a.191.4 | yes | 88 | 252.191 | even | 6 | inner | |
252.2.o.a.191.19 | yes | 88 | 63.2 | odd | 6 | inner | |
252.2.bb.a.11.11 | yes | 88 | 9.2 | odd | 6 | ||
252.2.bb.a.11.34 | yes | 88 | 36.11 | even | 6 | ||
252.2.bb.a.23.11 | yes | 88 | 28.23 | odd | 6 | ||
252.2.bb.a.23.34 | yes | 88 | 7.2 | even | 3 | ||
756.2.o.a.179.26 | 88 | 12.11 | even | 2 | |||
756.2.o.a.179.41 | 88 | 3.2 | odd | 2 | |||
756.2.o.a.359.26 | 88 | 63.16 | even | 3 | |||
756.2.o.a.359.41 | 88 | 252.79 | odd | 6 | |||
756.2.bb.a.611.11 | 88 | 21.2 | odd | 6 | |||
756.2.bb.a.611.34 | 88 | 84.23 | even | 6 | |||
756.2.bb.a.683.11 | 88 | 36.7 | odd | 6 | |||
756.2.bb.a.683.34 | 88 | 9.7 | even | 3 |