Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(41,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.z (of order \(12\), degree \(4\), 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: | \(1.86849940730\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 41.8 | ||
Character | \(\chi\) | \(=\) | 234.41 |
Dual form | 234.2.z.a.137.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | −1.70264 | + | 0.317829i | −0.983020 | + | 0.183498i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 1.48652 | − | 0.398313i | 0.664794 | − | 0.178131i | 0.0893855 | − | 0.995997i | \(-0.471510\pi\) |
0.575409 | + | 0.817866i | \(0.304843\pi\) | |||||||
\(6\) | −1.56236 | + | 0.747675i | −0.637833 | + | 0.305237i | ||||
\(7\) | 1.01155 | + | 1.01155i | 0.382331 | + | 0.382331i | 0.871941 | − | 0.489610i | \(-0.162861\pi\) |
−0.489610 | + | 0.871941i | \(0.662861\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.79797 | − | 1.08230i | 0.932657 | − | 0.360765i | ||||
\(10\) | 1.33278 | − | 0.769482i | 0.421463 | − | 0.243332i | ||||
\(11\) | 0.128439 | + | 0.479340i | 0.0387258 | + | 0.144527i | 0.982582 | − | 0.185830i | \(-0.0594975\pi\) |
−0.943856 | + | 0.330357i | \(0.892831\pi\) | |||||||
\(12\) | −1.31562 | + | 1.12657i | −0.379786 | + | 0.325212i | ||||
\(13\) | 3.02688 | − | 1.95909i | 0.839504 | − | 0.543353i | ||||
\(14\) | 1.23890 | + | 0.715277i | 0.331109 | + | 0.191166i | ||||
\(15\) | −2.40442 | + | 1.15064i | −0.620819 | + | 0.297095i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.10510 | − | 1.91408i | 0.268025 | − | 0.464233i | −0.700327 | − | 0.713823i | \(-0.746962\pi\) |
0.968352 | + | 0.249589i | \(0.0802956\pi\) | |||||||
\(18\) | 2.42251 | − | 1.76959i | 0.570992 | − | 0.417095i | ||||
\(19\) | 0.805124 | + | 3.00476i | 0.184708 | + | 0.689340i | 0.994693 | + | 0.102889i | \(0.0328086\pi\) |
−0.809985 | + | 0.586451i | \(0.800525\pi\) | |||||||
\(20\) | 1.08821 | − | 1.08821i | 0.243332 | − | 0.243332i | ||||
\(21\) | −2.04381 | − | 1.40081i | −0.445997 | − | 0.305682i | ||||
\(22\) | 0.248125 | + | 0.429765i | 0.0529004 | + | 0.0916262i | ||||
\(23\) | −1.77557 | −0.370233 | −0.185116 | − | 0.982717i | \(-0.559266\pi\) | ||||
−0.185116 | + | 0.982717i | \(0.559266\pi\) | |||||||
\(24\) | −0.979210 | + | 1.42869i | −0.199880 | + | 0.291630i | ||||
\(25\) | −2.27902 | + | 1.31580i | −0.455805 | + | 0.263159i | ||||
\(26\) | 2.41669 | − | 2.67575i | 0.473952 | − | 0.524757i | ||||
\(27\) | −4.41995 | + | 2.73204i | −0.850620 | + | 0.525781i | ||||
\(28\) | 1.38181 | + | 0.370254i | 0.261137 | + | 0.0699715i | ||||
\(29\) | −4.07958 | − | 2.35535i | −0.757559 | − | 0.437377i | 0.0708596 | − | 0.997486i | \(-0.477426\pi\) |
−0.828419 | + | 0.560109i | \(0.810759\pi\) | |||||||
\(30\) | −2.02468 | + | 1.73375i | −0.369655 | + | 0.316537i | ||||
\(31\) | −0.0814346 | − | 0.303918i | −0.0146261 | − | 0.0545853i | 0.958227 | − | 0.286008i | \(-0.0923285\pi\) |
−0.972853 | + | 0.231423i | \(0.925662\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | −0.371033 | − | 0.775323i | −0.0645886 | − | 0.134966i | ||||
\(34\) | 0.572040 | − | 2.13488i | 0.0981040 | − | 0.366129i | ||||
\(35\) | 1.90661 | + | 1.10078i | 0.322277 | + | 0.186067i | ||||
\(36\) | 1.88197 | − | 2.33628i | 0.313661 | − | 0.389380i | ||||
\(37\) | −2.95350 | + | 11.0226i | −0.485553 | + | 1.81211i | 0.0920063 | + | 0.995758i | \(0.470672\pi\) |
−0.577559 | + | 0.816349i | \(0.695995\pi\) | |||||||
\(38\) | 1.55538 | + | 2.69400i | 0.252316 | + | 0.437024i | ||||
\(39\) | −4.53103 | + | 4.29765i | −0.725545 | + | 0.688174i | ||||
\(40\) | 0.769482 | − | 1.33278i | 0.121666 | − | 0.210731i | ||||
\(41\) | −5.69511 | − | 5.69511i | −0.889426 | − | 0.889426i | 0.105041 | − | 0.994468i | \(-0.466502\pi\) |
−0.994468 | + | 0.105041i | \(0.966502\pi\) | |||||||
\(42\) | −2.33673 | − | 0.824102i | −0.360565 | − | 0.127162i | ||||
\(43\) | 1.62219i | 0.247381i | 0.992321 | + | 0.123691i | \(0.0394731\pi\) | ||||
−0.992321 | + | 0.123691i | \(0.960527\pi\) | |||||||
\(44\) | 0.350901 | + | 0.350901i | 0.0529004 | + | 0.0529004i | ||||
\(45\) | 3.72816 | − | 2.72333i | 0.555761 | − | 0.405970i | ||||
\(46\) | −1.71507 | + | 0.459552i | −0.252874 | + | 0.0677573i | ||||
\(47\) | −11.8388 | − | 3.17219i | −1.72686 | − | 0.462711i | −0.747406 | − | 0.664368i | \(-0.768701\pi\) |
−0.979456 | + | 0.201656i | \(0.935368\pi\) | |||||||
\(48\) | −0.576073 | + | 1.63344i | −0.0831489 | + | 0.235767i | ||||
\(49\) | − | 4.95352i | − | 0.707645i | ||||||
\(50\) | −1.86082 | + | 1.86082i | −0.263159 | + | 0.263159i | ||||
\(51\) | −1.27323 | + | 3.61023i | −0.178288 | + | 0.505533i | ||||
\(52\) | 1.64181 | − | 3.21006i | 0.227678 | − | 0.445155i | ||||
\(53\) | 2.02719i | 0.278456i | 0.990260 | + | 0.139228i | \(0.0444621\pi\) | ||||
−0.990260 | + | 0.139228i | \(0.955538\pi\) | |||||||
\(54\) | −3.56224 | + | 3.78291i | −0.484760 | + | 0.514789i | ||||
\(55\) | 0.381855 | + | 0.661392i | 0.0514893 | + | 0.0891821i | ||||
\(56\) | 1.43055 | 0.191166 | ||||||||
\(57\) | −2.32584 | − | 4.86014i | −0.308065 | − | 0.643741i | ||||
\(58\) | −4.55018 | − | 1.21922i | −0.597468 | − | 0.160091i | ||||
\(59\) | −2.70586 | − | 0.725033i | −0.352273 | − | 0.0943913i | 0.0783431 | − | 0.996926i | \(-0.475037\pi\) |
−0.430616 | + | 0.902535i | \(0.641704\pi\) | |||||||
\(60\) | −1.50697 | + | 2.19870i | −0.194549 | + | 0.283851i | ||||
\(61\) | 6.79318 | 0.869777 | 0.434888 | − | 0.900484i | \(-0.356788\pi\) | ||||
0.434888 | + | 0.900484i | \(0.356788\pi\) | |||||||
\(62\) | −0.157320 | − | 0.272485i | −0.0199796 | − | 0.0346057i | ||||
\(63\) | 3.92510 | + | 1.73550i | 0.494516 | + | 0.218652i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 3.71920 | − | 4.11787i | 0.461310 | − | 0.510760i | ||||
\(66\) | −0.559059 | − | 0.652874i | −0.0688154 | − | 0.0803632i | ||||
\(67\) | −5.60189 | + | 5.60189i | −0.684379 | + | 0.684379i | −0.960984 | − | 0.276604i | \(-0.910791\pi\) |
0.276604 | + | 0.960984i | \(0.410791\pi\) | |||||||
\(68\) | − | 2.21019i | − | 0.268025i | ||||||
\(69\) | 3.02316 | − | 0.564328i | 0.363946 | − | 0.0679371i | ||||
\(70\) | 2.12655 | + | 0.569808i | 0.254172 | + | 0.0681051i | ||||
\(71\) | 10.8566 | − | 2.90902i | 1.28844 | − | 0.345237i | 0.451374 | − | 0.892335i | \(-0.350934\pi\) |
0.837069 | + | 0.547097i | \(0.184267\pi\) | |||||||
\(72\) | 1.21316 | − | 2.74376i | 0.142973 | − | 0.323355i | ||||
\(73\) | 4.45270 | + | 4.45270i | 0.521149 | + | 0.521149i | 0.917918 | − | 0.396769i | \(-0.129869\pi\) |
−0.396769 | + | 0.917918i | \(0.629869\pi\) | |||||||
\(74\) | 11.4115i | 1.32655i | ||||||||
\(75\) | 3.46216 | − | 2.96467i | 0.399776 | − | 0.342330i | ||||
\(76\) | 2.19964 | + | 2.19964i | 0.252316 | + | 0.252316i | ||||
\(77\) | −0.354956 | + | 0.614801i | −0.0404510 | + | 0.0700631i | ||||
\(78\) | −3.26432 | + | 5.32393i | −0.369612 | + | 0.602816i | ||||
\(79\) | 4.77307 | + | 8.26720i | 0.537012 | + | 0.930133i | 0.999063 | + | 0.0432790i | \(0.0137805\pi\) |
−0.462051 | + | 0.886853i | \(0.652886\pi\) | |||||||
\(80\) | 0.398313 | − | 1.48652i | 0.0445328 | − | 0.166199i | ||||
\(81\) | 6.65727 | − | 6.05646i | 0.739697 | − | 0.672940i | ||||
\(82\) | −6.97505 | − | 4.02705i | −0.770266 | − | 0.444713i | ||||
\(83\) | 2.17883 | − | 8.13149i | 0.239157 | − | 0.892547i | −0.737073 | − | 0.675813i | \(-0.763793\pi\) |
0.976231 | − | 0.216734i | \(-0.0695405\pi\) | |||||||
\(84\) | −2.47040 | − | 0.191232i | −0.269543 | − | 0.0208651i | ||||
\(85\) | 0.880349 | − | 3.28551i | 0.0954872 | − | 0.356363i | ||||
\(86\) | 0.419853 | + | 1.56691i | 0.0452739 | + | 0.168965i | ||||
\(87\) | 7.69466 | + | 2.71370i | 0.824954 | + | 0.290939i | ||||
\(88\) | 0.429765 | + | 0.248125i | 0.0458131 | + | 0.0264502i | ||||
\(89\) | 3.41203 | + | 0.914251i | 0.361674 | + | 0.0969104i | 0.435080 | − | 0.900392i | \(-0.356720\pi\) |
−0.0734055 | + | 0.997302i | \(0.523387\pi\) | |||||||
\(90\) | 2.89628 | − | 3.59545i | 0.305294 | − | 0.378994i | ||||
\(91\) | 5.04357 | + | 1.08013i | 0.528710 | + | 0.113228i | ||||
\(92\) | −1.53769 | + | 0.887787i | −0.160315 | + | 0.0925582i | ||||
\(93\) | 0.235248 | + | 0.491581i | 0.0243941 | + | 0.0509746i | ||||
\(94\) | −12.2564 | −1.26415 | ||||||||
\(95\) | 2.39367 | + | 4.14596i | 0.245586 | + | 0.425367i | ||||
\(96\) | −0.133677 | + | 1.72688i | −0.0136433 | + | 0.176249i | ||||
\(97\) | 5.21001 | − | 5.21001i | 0.528996 | − | 0.528996i | −0.391277 | − | 0.920273i | \(-0.627967\pi\) |
0.920273 | + | 0.391277i | \(0.127967\pi\) | |||||||
\(98\) | −1.28206 | − | 4.78473i | −0.129508 | − | 0.483331i | ||||
\(99\) | 0.878156 | + | 1.20217i | 0.0882580 | + | 0.120823i | ||||
\(100\) | −1.31580 | + | 2.27902i | −0.131580 | + | 0.227902i | ||||
\(101\) | 2.75939 | − | 4.77940i | 0.274569 | − | 0.475568i | −0.695457 | − | 0.718568i | \(-0.744798\pi\) |
0.970026 | + | 0.243000i | \(0.0781314\pi\) | |||||||
\(102\) | −0.295452 | + | 3.81675i | −0.0292541 | + | 0.377914i | ||||
\(103\) | −13.0560 | − | 7.53787i | −1.28644 | − | 0.742729i | −0.308426 | − | 0.951248i | \(-0.599802\pi\) |
−0.978018 | + | 0.208520i | \(0.933135\pi\) | |||||||
\(104\) | 0.755042 | − | 3.52561i | 0.0740379 | − | 0.345714i | ||||
\(105\) | −3.59614 | − | 1.26826i | −0.350947 | − | 0.123770i | ||||
\(106\) | 0.524676 | + | 1.95812i | 0.0509610 | + | 0.190189i | ||||
\(107\) | −10.8647 | + | 6.27276i | −1.05033 | + | 0.606411i | −0.922743 | − | 0.385416i | \(-0.874058\pi\) |
−0.127591 | + | 0.991827i | \(0.540724\pi\) | |||||||
\(108\) | −2.46177 | + | 4.57599i | −0.236884 | + | 0.440325i | ||||
\(109\) | −6.92733 | + | 6.92733i | −0.663518 | + | 0.663518i | −0.956208 | − | 0.292690i | \(-0.905450\pi\) |
0.292690 | + | 0.956208i | \(0.405450\pi\) | |||||||
\(110\) | 0.540025 | + | 0.540025i | 0.0514893 | + | 0.0514893i | ||||
\(111\) | 1.52545 | − | 19.7063i | 0.144789 | − | 1.87044i | ||||
\(112\) | 1.38181 | − | 0.370254i | 0.130569 | − | 0.0349858i | ||||
\(113\) | −12.3898 | + | 7.15327i | −1.16554 | + | 0.672923i | −0.952625 | − | 0.304149i | \(-0.901628\pi\) |
−0.212912 | + | 0.977071i | \(0.568295\pi\) | |||||||
\(114\) | −3.50448 | − | 4.09256i | −0.328225 | − | 0.383304i | ||||
\(115\) | −2.63943 | + | 0.707234i | −0.246128 | + | 0.0659499i | ||||
\(116\) | −4.71069 | −0.437377 | ||||||||
\(117\) | 6.34880 | − | 8.75744i | 0.586947 | − | 0.809626i | ||||
\(118\) | −2.80131 | −0.257882 | ||||||||
\(119\) | 3.05406 | − | 0.818333i | 0.279965 | − | 0.0750165i | ||||
\(120\) | −0.886555 | + | 2.51381i | −0.0809310 | + | 0.229479i | ||||
\(121\) | 9.31301 | − | 5.37687i | 0.846637 | − | 0.488806i | ||||
\(122\) | 6.56170 | − | 1.75820i | 0.594069 | − | 0.159180i | ||||
\(123\) | 11.5068 | + | 7.88665i | 1.03753 | + | 0.711116i | ||||
\(124\) | −0.222483 | − | 0.222483i | −0.0199796 | − | 0.0199796i | ||||
\(125\) | −8.30479 | + | 8.30479i | −0.742803 | + | 0.742803i | ||||
\(126\) | 4.24053 | + | 0.660471i | 0.377777 | + | 0.0588394i | ||||
\(127\) | 2.50743 | − | 1.44766i | 0.222498 | − | 0.128459i | −0.384608 | − | 0.923080i | \(-0.625663\pi\) |
0.607106 | + | 0.794621i | \(0.292330\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | −0.515578 | − | 2.76200i | −0.0453941 | − | 0.243181i | ||||
\(130\) | 2.52668 | − | 4.94016i | 0.221605 | − | 0.433281i | ||||
\(131\) | 11.3218 | + | 6.53662i | 0.989186 | + | 0.571107i | 0.905031 | − | 0.425346i | \(-0.139847\pi\) |
0.0841553 | + | 0.996453i | \(0.473181\pi\) | |||||||
\(132\) | −0.708986 | − | 0.485933i | −0.0617093 | − | 0.0422950i | ||||
\(133\) | −2.22505 | + | 3.85391i | −0.192937 | + | 0.334176i | ||||
\(134\) | −3.96113 | + | 6.86088i | −0.342190 | + | 0.592690i | ||||
\(135\) | −5.48216 | + | 5.82176i | −0.471829 | + | 0.501058i | ||||
\(136\) | −0.572040 | − | 2.13488i | −0.0490520 | − | 0.183065i | ||||
\(137\) | 4.60469 | − | 4.60469i | 0.393405 | − | 0.393405i | −0.482494 | − | 0.875899i | \(-0.660269\pi\) |
0.875899 | + | 0.482494i | \(0.160269\pi\) | |||||||
\(138\) | 2.77409 | − | 1.32755i | 0.236146 | − | 0.113009i | ||||
\(139\) | −8.34095 | − | 14.4469i | −0.707470 | − | 1.22537i | −0.965793 | − | 0.259316i | \(-0.916503\pi\) |
0.258322 | − | 0.966059i | \(-0.416830\pi\) | |||||||
\(140\) | 2.20157 | 0.186067 | ||||||||
\(141\) | 21.1654 | + | 1.63840i | 1.78245 | + | 0.137978i | ||||
\(142\) | 9.73378 | − | 5.61980i | 0.816840 | − | 0.471603i | ||||
\(143\) | 1.32784 | + | 1.19928i | 0.111039 | + | 0.100289i | ||||
\(144\) | 0.461689 | − | 2.96426i | 0.0384741 | − | 0.247022i | ||||
\(145\) | −7.00256 | − | 1.87633i | −0.581531 | − | 0.155821i | ||||
\(146\) | 5.45342 | + | 3.14853i | 0.451328 | + | 0.260575i | ||||
\(147\) | 1.57437 | + | 8.43406i | 0.129852 | + | 0.695630i | ||||
\(148\) | 2.95350 | + | 11.0226i | 0.242776 | + | 0.906054i | ||||
\(149\) | −2.72321 | + | 10.1632i | −0.223094 | + | 0.832599i | 0.760065 | + | 0.649847i | \(0.225167\pi\) |
−0.983159 | + | 0.182752i | \(0.941500\pi\) | |||||||
\(150\) | 2.57688 | − | 3.75972i | 0.210401 | − | 0.306980i | ||||
\(151\) | 4.44836 | − | 16.6015i | 0.362002 | − | 1.35101i | −0.509437 | − | 0.860508i | \(-0.670146\pi\) |
0.871440 | − | 0.490503i | \(-0.163187\pi\) | |||||||
\(152\) | 2.69400 | + | 1.55538i | 0.218512 | + | 0.126158i | ||||
\(153\) | 1.02042 | − | 6.55159i | 0.0824962 | − | 0.529664i | ||||
\(154\) | −0.183739 | + | 0.685722i | −0.0148061 | + | 0.0552570i | ||||
\(155\) | −0.242109 | − | 0.419345i | −0.0194467 | − | 0.0336826i | ||||
\(156\) | −1.77516 | + | 5.98739i | −0.142127 | + | 0.479375i | ||||
\(157\) | −10.9518 | + | 18.9690i | −0.874046 | + | 1.51389i | −0.0162709 | + | 0.999868i | \(0.505179\pi\) |
−0.857775 | + | 0.514025i | \(0.828154\pi\) | |||||||
\(158\) | 6.75014 | + | 6.75014i | 0.537012 | + | 0.537012i | ||||
\(159\) | −0.644300 | − | 3.45158i | −0.0510963 | − | 0.273728i | ||||
\(160\) | − | 1.53896i | − | 0.121666i | ||||||
\(161\) | −1.79609 | − | 1.79609i | −0.141552 | − | 0.141552i | ||||
\(162\) | 4.86290 | − | 7.57312i | 0.382066 | − | 0.595001i | ||||
\(163\) | 5.13664 | − | 1.37636i | 0.402333 | − | 0.107805i | −0.0519776 | − | 0.998648i | \(-0.516552\pi\) |
0.454310 | + | 0.890844i | \(0.349886\pi\) | |||||||
\(164\) | −7.77966 | − | 2.08455i | −0.607490 | − | 0.162776i | ||||
\(165\) | −0.860371 | − | 1.00475i | −0.0669798 | − | 0.0782196i | ||||
\(166\) | − | 8.41834i | − | 0.653390i | ||||||
\(167\) | 7.67161 | − | 7.67161i | 0.593647 | − | 0.593647i | −0.344968 | − | 0.938615i | \(-0.612110\pi\) |
0.938615 | + | 0.344968i | \(0.112110\pi\) | |||||||
\(168\) | −2.43572 | + | 0.454671i | −0.187920 | + | 0.0350786i | ||||
\(169\) | 5.32396 | − | 11.8598i | 0.409536 | − | 0.912294i | ||||
\(170\) | − | 3.40141i | − | 0.260876i | ||||||
\(171\) | 5.50475 | + | 7.53585i | 0.420959 | + | 0.576281i | ||||
\(172\) | 0.811094 | + | 1.40486i | 0.0618453 | + | 0.107119i | ||||
\(173\) | 1.60584 | 0.122090 | 0.0610448 | − | 0.998135i | \(-0.480557\pi\) | ||||
0.0610448 | + | 0.998135i | \(0.480557\pi\) | |||||||
\(174\) | 8.13483 | + | 0.629711i | 0.616700 | + | 0.0477383i | ||||
\(175\) | −3.63635 | − | 0.974358i | −0.274882 | − | 0.0736545i | ||||
\(176\) | 0.479340 | + | 0.128439i | 0.0361316 | + | 0.00968144i | ||||
\(177\) | 4.83754 | + | 0.374471i | 0.363612 | + | 0.0281470i | ||||
\(178\) | 3.53239 | 0.264764 | ||||||||
\(179\) | 5.02903 | + | 8.71053i | 0.375887 | + | 0.651056i | 0.990459 | − | 0.137805i | \(-0.0440047\pi\) |
−0.614572 | + | 0.788861i | \(0.710671\pi\) | |||||||
\(180\) | 1.86702 | − | 4.22255i | 0.139159 | − | 0.314730i | ||||
\(181\) | − | 11.9484i | − | 0.888116i | −0.895998 | − | 0.444058i | \(-0.853538\pi\) | ||
0.895998 | − | 0.444058i | \(-0.146462\pi\) | |||||||
\(182\) | 5.15127 | − | 0.262049i | 0.381838 | − | 0.0194244i | ||||
\(183\) | −11.5663 | + | 2.15907i | −0.855008 | + | 0.159603i | ||||
\(184\) | −1.25552 | + | 1.25552i | −0.0925582 | + | 0.0925582i | ||||
\(185\) | 17.5618i | 1.29117i | ||||||||
\(186\) | 0.354462 | + | 0.413944i | 0.0259904 | + | 0.0303519i | ||||
\(187\) | 1.05943 | + | 0.283875i | 0.0774735 | + | 0.0207590i | ||||
\(188\) | −11.8388 | + | 3.17219i | −0.863431 | + | 0.231356i | ||||
\(189\) | −7.23462 | − | 1.70742i | −0.526241 | − | 0.124196i | ||||
\(190\) | 3.38516 | + | 3.38516i | 0.245586 | + | 0.245586i | ||||
\(191\) | 21.8456i | 1.58069i | 0.612659 | + | 0.790347i | \(0.290100\pi\) | ||||
−0.612659 | + | 0.790347i | \(0.709900\pi\) | |||||||
\(192\) | 0.317829 | + | 1.70264i | 0.0229373 | + | 0.122877i | ||||
\(193\) | 9.25729 | + | 9.25729i | 0.666354 | + | 0.666354i | 0.956870 | − | 0.290516i | \(-0.0938269\pi\) |
−0.290516 | + | 0.956870i | \(0.593827\pi\) | |||||||
\(194\) | 3.68403 | − | 6.38093i | 0.264498 | − | 0.458124i | ||||
\(195\) | −5.02368 | + | 8.19333i | −0.359753 | + | 0.586736i | ||||
\(196\) | −2.47676 | − | 4.28987i | −0.176911 | − | 0.306419i | ||||
\(197\) | −0.638138 | + | 2.38157i | −0.0454655 | + | 0.169680i | −0.984926 | − | 0.172979i | \(-0.944661\pi\) |
0.939460 | + | 0.342659i | \(0.111327\pi\) | |||||||
\(198\) | 1.15938 | + | 0.933924i | 0.0823934 | + | 0.0663711i | ||||
\(199\) | −18.1467 | − | 10.4770i | −1.28639 | − | 0.742697i | −0.308380 | − | 0.951263i | \(-0.599787\pi\) |
−0.978008 | + | 0.208567i | \(0.933120\pi\) | |||||||
\(200\) | −0.681106 | + | 2.54192i | −0.0481615 | + | 0.179741i | ||||
\(201\) | 7.75756 | − | 11.3184i | 0.547176 | − | 0.798341i | ||||
\(202\) | 1.42836 | − | 5.33073i | 0.100499 | − | 0.375069i | ||||
\(203\) | −1.74416 | − | 6.50928i | −0.122416 | − | 0.456862i | ||||
\(204\) | 0.702462 | + | 3.76316i | 0.0491822 | + | 0.263474i | ||||
\(205\) | −10.7344 | − | 6.19748i | −0.749720 | − | 0.432851i | ||||
\(206\) | −14.5621 | − | 3.90189i | −1.01459 | − | 0.271858i | ||||
\(207\) | −4.96800 | + | 1.92170i | −0.345300 | + | 0.133567i | ||||
\(208\) | −0.183180 | − | 3.60090i | −0.0127013 | − | 0.249677i | ||||
\(209\) | −1.33689 | + | 0.771857i | −0.0924750 | + | 0.0533904i | ||||
\(210\) | −3.80186 | − | 0.294299i | −0.262353 | − | 0.0203086i | ||||
\(211\) | −14.1278 | −0.972599 | −0.486299 | − | 0.873792i | \(-0.661654\pi\) | ||||
−0.486299 | + | 0.873792i | \(0.661654\pi\) | |||||||
\(212\) | 1.01360 | + | 1.75560i | 0.0696140 | + | 0.120575i | ||||
\(213\) | −17.5603 | + | 8.40356i | −1.20322 | + | 0.575803i | ||||
\(214\) | −8.87102 | + | 8.87102i | −0.606411 | + | 0.606411i | ||||
\(215\) | 0.646139 | + | 2.41142i | 0.0440663 | + | 0.164458i | ||||
\(216\) | −1.19354 | + | 5.05722i | −0.0812099 | + | 0.344100i | ||||
\(217\) | 0.225054 | − | 0.389805i | 0.0152777 | − | 0.0264617i | ||||
\(218\) | −4.89836 | + | 8.48421i | −0.331759 | + | 0.574623i | ||||
\(219\) | −8.99654 | − | 6.16615i | −0.607930 | − | 0.416670i | ||||
\(220\) | 0.661392 | + | 0.381855i | 0.0445911 | + | 0.0257447i | ||||
\(221\) | −0.404863 | − | 7.95867i | −0.0272341 | − | 0.535358i | ||||
\(222\) | −3.62689 | − | 19.4296i | −0.243421 | − | 1.30403i | ||||
\(223\) | −2.37228 | − | 8.85346i | −0.158859 | − | 0.592872i | −0.998744 | − | 0.0501063i | \(-0.984044\pi\) |
0.839884 | − | 0.542765i | \(-0.182623\pi\) | |||||||
\(224\) | 1.23890 | − | 0.715277i | 0.0827772 | − | 0.0477914i | ||||
\(225\) | −4.95256 | + | 6.14813i | −0.330171 | + | 0.409876i | ||||
\(226\) | −10.1162 | + | 10.1162i | −0.672923 | + | 0.672923i | ||||
\(227\) | 18.6738 | + | 18.6738i | 1.23943 | + | 1.23943i | 0.960236 | + | 0.279190i | \(0.0900659\pi\) |
0.279190 | + | 0.960236i | \(0.409934\pi\) | |||||||
\(228\) | −4.44430 | − | 3.04609i | −0.294331 | − | 0.201732i | ||||
\(229\) | 13.7346 | − | 3.68017i | 0.907607 | − | 0.243193i | 0.225327 | − | 0.974283i | \(-0.427655\pi\) |
0.682280 | + | 0.731091i | \(0.260988\pi\) | |||||||
\(230\) | −2.36645 | + | 1.36627i | −0.156039 | + | 0.0900893i | ||||
\(231\) | 0.408961 | − | 1.15960i | 0.0269076 | − | 0.0762961i | ||||
\(232\) | −4.55018 | + | 1.21922i | −0.298734 | + | 0.0800455i | ||||
\(233\) | −21.4490 | −1.40517 | −0.702586 | − | 0.711599i | \(-0.747971\pi\) | ||||
−0.702586 | + | 0.711599i | \(0.747971\pi\) | |||||||
\(234\) | 3.86588 | − | 10.1022i | 0.252720 | − | 0.660403i | ||||
\(235\) | −18.8622 | −1.23043 | ||||||||
\(236\) | −2.70586 | + | 0.725033i | −0.176137 | + | 0.0471956i | ||||
\(237\) | −10.7544 | − | 12.5590i | −0.698572 | − | 0.815798i | ||||
\(238\) | 2.73820 | − | 1.58090i | 0.177491 | − | 0.102474i | ||||
\(239\) | 7.59513 | − | 2.03511i | 0.491288 | − | 0.131640i | −0.00466587 | − | 0.999989i | \(-0.501485\pi\) |
0.495954 | + | 0.868349i | \(0.334819\pi\) | |||||||
\(240\) | −0.205724 | + | 2.65761i | −0.0132794 | + | 0.171548i | ||||
\(241\) | 13.0877 | + | 13.0877i | 0.843051 | + | 0.843051i | 0.989255 | − | 0.146203i | \(-0.0467054\pi\) |
−0.146203 | + | 0.989255i | \(0.546705\pi\) | |||||||
\(242\) | 7.60404 | − | 7.60404i | 0.488806 | − | 0.488806i | ||||
\(243\) | −9.41002 | + | 12.4279i | −0.603653 | + | 0.797247i | ||||
\(244\) | 5.88306 | − | 3.39659i | 0.376624 | − | 0.217444i | ||||
\(245\) | −1.97305 | − | 7.36353i | −0.126054 | − | 0.470438i | ||||
\(246\) | 13.1559 | + | 4.63975i | 0.838791 | + | 0.295819i | ||||
\(247\) | 8.32360 | + | 7.51774i | 0.529618 | + | 0.478342i | ||||
\(248\) | −0.272485 | − | 0.157320i | −0.0173028 | − | 0.00998980i | ||||
\(249\) | −1.12534 | + | 14.5375i | −0.0713153 | + | 0.921276i | ||||
\(250\) | −5.87237 | + | 10.1712i | −0.371401 | + | 0.643286i | ||||
\(251\) | 11.0446 | − | 19.1298i | 0.697127 | − | 1.20746i | −0.272331 | − | 0.962204i | \(-0.587795\pi\) |
0.969458 | − | 0.245256i | \(-0.0788722\pi\) | |||||||
\(252\) | 4.26698 | − | 0.459565i | 0.268795 | − | 0.0289499i | ||||
\(253\) | −0.228053 | − | 0.851104i | −0.0143375 | − | 0.0535084i | ||||
\(254\) | 2.04731 | − | 2.04731i | 0.128459 | − | 0.128459i | ||||
\(255\) | −0.454689 | + | 5.87384i | −0.0284738 | + | 0.367834i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −30.2080 | −1.88432 | −0.942162 | − | 0.335158i | \(-0.891210\pi\) | ||||
−0.942162 | + | 0.335158i | \(0.891210\pi\) | |||||||
\(258\) | −1.21287 | − | 2.53445i | −0.0755099 | − | 0.157788i | ||||
\(259\) | −14.1376 | + | 8.16235i | −0.878468 | + | 0.507183i | ||||
\(260\) | 1.16198 | − | 5.42578i | 0.0720631 | − | 0.336493i | ||||
\(261\) | −13.9637 | − | 2.17488i | −0.864333 | − | 0.134621i | ||||
\(262\) | 12.6278 | + | 3.38360i | 0.780147 | + | 0.209040i | ||||
\(263\) | −4.77357 | − | 2.75602i | −0.294351 | − | 0.169943i | 0.345552 | − | 0.938400i | \(-0.387692\pi\) |
−0.639902 | + | 0.768456i | \(0.721025\pi\) | |||||||
\(264\) | −0.810596 | − | 0.285876i | −0.0498887 | − | 0.0175944i | ||||
\(265\) | 0.807457 | + | 3.01347i | 0.0496017 | + | 0.185116i | ||||
\(266\) | −1.15177 | + | 4.29847i | −0.0706197 | + | 0.263556i | ||||
\(267\) | −6.10004 | − | 0.472199i | −0.373316 | − | 0.0288981i | ||||
\(268\) | −2.05043 | + | 7.65232i | −0.125250 | + | 0.467440i | ||||
\(269\) | 16.8180 | + | 9.70985i | 1.02541 | + | 0.592020i | 0.915666 | − | 0.401940i | \(-0.131664\pi\) |
0.109743 | + | 0.993960i | \(0.464997\pi\) | |||||||
\(270\) | −3.78858 | + | 7.04228i | −0.230566 | + | 0.428580i | ||||
\(271\) | 5.79813 | − | 21.6389i | 0.352212 | − | 1.31447i | −0.531746 | − | 0.846904i | \(-0.678464\pi\) |
0.883957 | − | 0.467567i | \(-0.154869\pi\) | |||||||
\(272\) | −1.10510 | − | 1.91408i | −0.0670063 | − | 0.116058i | ||||
\(273\) | −8.93068 | − | 0.236078i | −0.540509 | − | 0.0142881i | ||||
\(274\) | 3.25601 | − | 5.63957i | 0.196703 | − | 0.340699i | ||||
\(275\) | −0.923429 | − | 0.923429i | −0.0556849 | − | 0.0556849i | ||||
\(276\) | 2.33597 | − | 2.00030i | 0.140609 | − | 0.120404i | ||||
\(277\) | − | 8.82351i | − | 0.530153i | −0.964227 | − | 0.265077i | \(-0.914603\pi\) | ||
0.964227 | − | 0.265077i | \(-0.0853973\pi\) | |||||||
\(278\) | −11.7959 | − | 11.7959i | −0.707470 | − | 0.707470i | ||||
\(279\) | −0.556781 | − | 0.762217i | −0.0333336 | − | 0.0456328i | ||||
\(280\) | 2.12655 | − | 0.569808i | 0.127086 | − | 0.0340525i | ||||
\(281\) | −17.2960 | − | 4.63444i | −1.03179 | − | 0.276467i | −0.297083 | − | 0.954852i | \(-0.596014\pi\) |
−0.734707 | + | 0.678384i | \(0.762680\pi\) | |||||||
\(282\) | 20.8682 | − | 3.89543i | 1.24269 | − | 0.231970i | ||||
\(283\) | 7.31258i | 0.434688i | 0.976095 | + | 0.217344i | \(0.0697393\pi\) | ||||
−0.976095 | + | 0.217344i | \(0.930261\pi\) | |||||||
\(284\) | 7.94760 | − | 7.94760i | 0.471603 | − | 0.471603i | ||||
\(285\) | −5.39327 | − | 6.29831i | −0.319470 | − | 0.373080i | ||||
\(286\) | 1.59299 | + | 0.814747i | 0.0941954 | + | 0.0481770i | ||||
\(287\) | − | 11.5218i | − | 0.680111i | ||||||
\(288\) | −0.321250 | − | 2.98275i | −0.0189298 | − | 0.175760i | ||||
\(289\) | 6.05752 | + | 10.4919i | 0.356325 | + | 0.617173i | ||||
\(290\) | −7.24959 | −0.425710 | ||||||||
\(291\) | −7.21488 | + | 10.5267i | −0.422944 | + | 0.617084i | ||||
\(292\) | 6.08250 | + | 1.62980i | 0.355952 | + | 0.0953769i | ||||
\(293\) | 13.7781 | + | 3.69183i | 0.804925 | + | 0.215679i | 0.637745 | − | 0.770247i | \(-0.279867\pi\) |
0.167180 | + | 0.985926i | \(0.446534\pi\) | |||||||
\(294\) | 3.70362 | + | 7.73920i | 0.216000 | + | 0.451359i | ||||
\(295\) | −4.31112 | −0.251003 | ||||||||
\(296\) | 5.70573 | + | 9.88261i | 0.331639 | + | 0.574415i | ||||
\(297\) | −1.87727 | − | 1.76776i | −0.108930 | − | 0.102576i | ||||
\(298\) | 10.5217i | 0.609505i | ||||||||
\(299\) | −5.37444 | + | 3.47850i | −0.310812 | + | 0.201167i | ||||
\(300\) | 1.51599 | − | 4.29856i | 0.0875256 | − | 0.248177i | ||||
\(301\) | −1.64093 | + | 1.64093i | −0.0945817 | + | 0.0945817i | ||||
\(302\) | − | 17.1871i | − | 0.989008i | ||||||
\(303\) | −3.17922 | + | 9.01461i | −0.182641 | + | 0.517876i | ||||
\(304\) | 3.00476 | + | 0.805124i | 0.172335 | + | 0.0461770i | ||||
\(305\) | 10.0982 | − | 2.70581i | 0.578223 | − | 0.154934i | ||||
\(306\) | −0.710024 | − | 6.59245i | −0.0405894 | − | 0.376865i | ||||
\(307\) | 15.5883 | + | 15.5883i | 0.889669 | + | 0.889669i | 0.994491 | − | 0.104822i | \(-0.0334273\pi\) |
−0.104822 | + | 0.994491i | \(0.533427\pi\) | |||||||
\(308\) | 0.709911i | 0.0404510i | ||||||||
\(309\) | 24.6254 | + | 8.68472i | 1.40089 | + | 0.494057i | ||||
\(310\) | −0.342394 | − | 0.342394i | −0.0194467 | − | 0.0194467i | ||||
\(311\) | 12.3786 | − | 21.4403i | 0.701923 | − | 1.21577i | −0.265867 | − | 0.964010i | \(-0.585658\pi\) |
0.967790 | − | 0.251757i | \(-0.0810084\pi\) | |||||||
\(312\) | −0.165025 | + | 6.24282i | −0.00934273 | + | 0.353430i | ||||
\(313\) | 16.0705 | + | 27.8349i | 0.908359 | + | 1.57332i | 0.816344 | + | 0.577566i | \(0.195997\pi\) |
0.0920148 | + | 0.995758i | \(0.470669\pi\) | |||||||
\(314\) | −5.66905 | + | 21.1572i | −0.319923 | + | 1.19397i | ||||
\(315\) | 6.52603 | + | 1.01644i | 0.367700 | + | 0.0572699i | ||||
\(316\) | 8.26720 | + | 4.77307i | 0.465066 | + | 0.268506i | ||||
\(317\) | 7.74554 | − | 28.9067i | 0.435033 | − | 1.62356i | −0.305956 | − | 0.952046i | \(-0.598976\pi\) |
0.740988 | − | 0.671518i | \(-0.234357\pi\) | |||||||
\(318\) | −1.51568 | − | 3.16721i | −0.0849951 | − | 0.177608i | ||||
\(319\) | 0.605036 | − | 2.25803i | 0.0338755 | − | 0.126425i | ||||
\(320\) | −0.398313 | − | 1.48652i | −0.0222664 | − | 0.0830993i | ||||
\(321\) | 16.5051 | − | 14.1334i | 0.921224 | − | 0.788848i | ||||
\(322\) | −2.19975 | − | 1.27003i | −0.122587 | − | 0.0707758i | ||||
\(323\) | 6.64110 | + | 1.77948i | 0.369521 | + | 0.0990128i | ||||
\(324\) | 2.73713 | − | 8.57369i | 0.152063 | − | 0.476316i | ||||
\(325\) | −4.32057 | + | 8.44756i | −0.239662 | + | 0.468586i | ||||
\(326\) | 4.60538 | − | 2.65892i | 0.255069 | − | 0.147264i | ||||
\(327\) | 9.59305 | − | 13.9965i | 0.530497 | − | 0.774006i | ||||
\(328\) | −8.05410 | −0.444713 | ||||||||
\(329\) | −8.76671 | − | 15.1844i | −0.483325 | − | 0.837143i | ||||
\(330\) | −1.09110 | − | 0.747833i | −0.0600633 | − | 0.0411668i | ||||
\(331\) | 4.69098 | − | 4.69098i | 0.257839 | − | 0.257839i | −0.566335 | − | 0.824175i | \(-0.691639\pi\) |
0.824175 | + | 0.566335i | \(0.191639\pi\) | |||||||
\(332\) | −2.17883 | − | 8.13149i | −0.119579 | − | 0.446273i | ||||
\(333\) | 3.66593 | + | 34.0375i | 0.200892 | + | 1.86524i | ||||
\(334\) | 5.42465 | − | 9.39577i | 0.296824 | − | 0.514113i | ||||
\(335\) | −6.09604 | + | 10.5586i | −0.333062 | + | 0.576881i | ||||
\(336\) | −2.23505 | + | 1.06959i | −0.121932 | + | 0.0583508i | ||||
\(337\) | 20.1675 | + | 11.6437i | 1.09859 | + | 0.634274i | 0.935851 | − | 0.352395i | \(-0.114633\pi\) |
0.162743 | + | 0.986669i | \(0.447966\pi\) | |||||||
\(338\) | 2.07300 | − | 12.8337i | 0.112757 | − | 0.698059i | ||||
\(339\) | 18.8219 | − | 16.1173i | 1.02227 | − | 0.875371i | ||||
\(340\) | −0.880349 | − | 3.28551i | −0.0477436 | − | 0.178182i | ||||
\(341\) | 0.135221 | − | 0.0780698i | 0.00732262 | − | 0.00422772i | ||||
\(342\) | 7.26761 | + | 5.85434i | 0.392987 | + | 0.316566i | ||||
\(343\) | 12.0916 | − | 12.0916i | 0.652886 | − | 0.652886i | ||||
\(344\) | 1.14706 | + | 1.14706i | 0.0618453 | + | 0.0618453i | ||||
\(345\) | 4.26923 | − | 2.04305i | 0.229848 | − | 0.109994i | ||||
\(346\) | 1.55112 | − | 0.415621i | 0.0833887 | − | 0.0223439i | ||||
\(347\) | −17.4763 | + | 10.0899i | −0.938175 | + | 0.541655i | −0.889388 | − | 0.457154i | \(-0.848869\pi\) |
−0.0487871 | + | 0.998809i | \(0.515536\pi\) | |||||||
\(348\) | 8.02062 | − | 1.49719i | 0.429950 | − | 0.0802580i | ||||
\(349\) | −24.2443 | + | 6.49625i | −1.29777 | + | 0.347736i | −0.840606 | − | 0.541647i | \(-0.817801\pi\) |
−0.457163 | + | 0.889383i | \(0.651134\pi\) | |||||||
\(350\) | −3.76463 | −0.201228 | ||||||||
\(351\) | −8.02636 | + | 16.9286i | −0.428415 | + | 0.903582i | ||||
\(352\) | 0.496250 | 0.0264502 | ||||||||
\(353\) | 25.2002 | − | 6.75238i | 1.34127 | − | 0.359393i | 0.484366 | − | 0.874865i | \(-0.339050\pi\) |
0.856906 | + | 0.515472i | \(0.172384\pi\) | |||||||
\(354\) | 4.76963 | − | 0.890338i | 0.253503 | − | 0.0473209i | ||||
\(355\) | 14.9799 | − | 8.64867i | 0.795052 | − | 0.459024i | ||||
\(356\) | 3.41203 | − | 0.914251i | 0.180837 | − | 0.0484552i | ||||
\(357\) | −4.93988 | + | 2.36400i | −0.261446 | + | 0.125116i | ||||
\(358\) | 7.11212 | + | 7.11212i | 0.375887 | + | 0.375887i | ||||
\(359\) | 23.1726 | − | 23.1726i | 1.22300 | − | 1.22300i | 0.256444 | − | 0.966559i | \(-0.417449\pi\) |
0.966559 | − | 0.256444i | \(-0.0825509\pi\) | |||||||
\(360\) | 0.710523 | − | 4.56189i | 0.0374478 | − | 0.240433i | ||||
\(361\) | 8.07411 | − | 4.66159i | 0.424953 | − | 0.245347i | ||||
\(362\) | −3.09247 | − | 11.5412i | −0.162537 | − | 0.606594i | ||||
\(363\) | −14.1478 | + | 12.1148i | −0.742566 | + | 0.635863i | ||||
\(364\) | 4.90792 | − | 1.58637i | 0.257245 | − | 0.0831482i | ||||
\(365\) | 8.39262 | + | 4.84548i | 0.439290 | + | 0.253624i | ||||
\(366\) | −10.6134 | + | 5.07909i | −0.554772 | + | 0.265488i | ||||
\(367\) | −0.292660 | + | 0.506902i | −0.0152767 | + | 0.0264601i | −0.873563 | − | 0.486712i | \(-0.838196\pi\) |
0.858286 | + | 0.513172i | \(0.171530\pi\) | |||||||
\(368\) | −0.887787 | + | 1.53769i | −0.0462791 | + | 0.0801577i | ||||
\(369\) | −22.0985 | − | 9.77095i | −1.15040 | − | 0.508655i | ||||
\(370\) | 4.54533 | + | 16.9634i | 0.236301 | + | 0.881886i | ||||
\(371\) | −2.05061 | + | 2.05061i | −0.106463 | + | 0.106463i | ||||
\(372\) | 0.449521 | + | 0.308098i | 0.0233066 | + | 0.0159741i | ||||
\(373\) | −13.6890 | − | 23.7100i | −0.708790 | − | 1.22766i | −0.965306 | − | 0.261120i | \(-0.915908\pi\) |
0.256517 | − | 0.966540i | \(-0.417425\pi\) | |||||||
\(374\) | 1.09681 | 0.0567145 | ||||||||
\(375\) | 11.5006 | − | 16.7796i | 0.593887 | − | 0.866493i | ||||
\(376\) | −10.6144 | + | 6.12820i | −0.547393 | + | 0.316038i | ||||
\(377\) | −16.9627 | + | 0.862906i | −0.873624 | + | 0.0444419i | ||||
\(378\) | −7.43002 | + | 0.223218i | −0.382159 | + | 0.0114811i | ||||
\(379\) | 3.11912 | + | 0.835766i | 0.160219 | + | 0.0429304i | 0.338037 | − | 0.941133i | \(-0.390237\pi\) |
−0.177818 | + | 0.984063i | \(0.556904\pi\) | |||||||
\(380\) | 4.14596 | + | 2.39367i | 0.212683 | + | 0.122793i | ||||
\(381\) | −3.80914 | + | 3.26178i | −0.195148 | + | 0.167106i | ||||
\(382\) | 5.65407 | + | 21.1013i | 0.289287 | + | 1.07963i | ||||
\(383\) | 3.64974 | − | 13.6210i | 0.186493 | − | 0.696001i | −0.807813 | − | 0.589439i | \(-0.799349\pi\) |
0.994306 | − | 0.106562i | \(-0.0339843\pi\) | |||||||
\(384\) | 0.747675 | + | 1.56236i | 0.0381546 | + | 0.0797291i | ||||
\(385\) | −0.282767 | + | 1.05530i | −0.0144111 | + | 0.0537831i | ||||
\(386\) | 11.3378 | + | 6.54589i | 0.577080 | + | 0.333177i | ||||
\(387\) | 1.75569 | + | 4.53883i | 0.0892466 | + | 0.230722i | ||||
\(388\) | 1.90700 | − | 7.11700i | 0.0968130 | − | 0.361311i | ||||
\(389\) | 9.97462 | + | 17.2765i | 0.505733 | + | 0.875956i | 0.999978 | + | 0.00663286i | \(0.00211132\pi\) |
−0.494245 | + | 0.869323i | \(0.664555\pi\) | |||||||
\(390\) | −2.73191 | + | 9.21437i | −0.138336 | + | 0.466588i | ||||
\(391\) | −1.96218 | + | 3.39859i | −0.0992317 | + | 0.171874i | ||||
\(392\) | −3.50267 | − | 3.50267i | −0.176911 | − | 0.176911i | ||||
\(393\) | −21.3544 | − | 7.53113i | −1.07719 | − | 0.379895i | ||||
\(394\) | 2.46558i | 0.124214i | ||||||||
\(395\) | 10.3882 | + | 10.3882i | 0.522688 | + | 0.522688i | ||||
\(396\) | 1.36159 | + | 0.602033i | 0.0684225 | + | 0.0302533i | ||||
\(397\) | 17.9027 | − | 4.79700i | 0.898509 | − | 0.240755i | 0.220133 | − | 0.975470i | \(-0.429351\pi\) |
0.678376 | + | 0.734715i | \(0.262684\pi\) | |||||||
\(398\) | −20.2401 | − | 5.42331i | −1.01454 | − | 0.271846i | ||||
\(399\) | 2.56358 | − | 7.26900i | 0.128340 | − | 0.363905i | ||||
\(400\) | 2.63159i | 0.131580i | ||||||||
\(401\) | −11.1565 | + | 11.1565i | −0.557131 | + | 0.557131i | −0.928489 | − | 0.371359i | \(-0.878892\pi\) |
0.371359 | + | 0.928489i | \(0.378892\pi\) | |||||||
\(402\) | 4.56380 | − | 12.9406i | 0.227622 | − | 0.645417i | ||||
\(403\) | −0.841894 | − | 0.760385i | −0.0419377 | − | 0.0378775i | ||||
\(404\) | − | 5.51878i | − | 0.274569i | ||||||
\(405\) | 7.48383 | − | 11.6548i | 0.371874 | − | 0.579130i | ||||
\(406\) | −3.36945 | − | 5.83606i | −0.167223 | − | 0.289639i | ||||
\(407\) | −5.66293 | −0.280701 | ||||||||
\(408\) | 1.65250 | + | 3.45313i | 0.0818112 | + | 0.170955i | ||||
\(409\) | −10.7473 | − | 2.87972i | −0.531418 | − | 0.142393i | −0.0168752 | − | 0.999858i | \(-0.505372\pi\) |
−0.514543 | + | 0.857464i | \(0.672038\pi\) | |||||||
\(410\) | −11.9726 | − | 3.20805i | −0.591285 | − | 0.158434i | ||||
\(411\) | −6.37663 | + | 9.30363i | −0.314536 | + | 0.458914i | ||||
\(412\) | −15.0757 | −0.742729 | ||||||||
\(413\) | −2.00371 | − | 3.47053i | −0.0985963 | − | 0.170774i | ||||
\(414\) | −4.30135 | + | 3.14203i | −0.211400 | + | 0.154422i | ||||
\(415\) | − | 12.9555i | − | 0.635961i | ||||||
\(416\) | −1.10892 | − | 3.43079i | −0.0543692 | − | 0.168208i | ||||
\(417\) | 18.7933 | + | 21.9470i | 0.920312 | + | 1.07475i | ||||
\(418\) | −1.09157 | + | 1.09157i | −0.0533904 | + | 0.0533904i | ||||
\(419\) | 0.458051i | 0.0223772i | 0.999937 | + | 0.0111886i | \(0.00356152\pi\) | ||||
−0.999937 | + | 0.0111886i | \(0.996438\pi\) | |||||||
\(420\) | −3.74848 | + | 0.699722i | −0.182907 | + | 0.0341429i | ||||
\(421\) | 4.37413 | + | 1.17205i | 0.213182 | + | 0.0571220i | 0.363829 | − | 0.931466i | \(-0.381469\pi\) |
−0.150647 | + | 0.988588i | \(0.548136\pi\) | |||||||
\(422\) | −13.6464 | + | 3.65655i | −0.664297 | + | 0.177998i | ||||
\(423\) | −36.5578 | + | 3.93736i | −1.77750 | + | 0.191441i | ||||
\(424\) | 1.43344 | + | 1.43344i | 0.0696140 | + | 0.0696140i | ||||
\(425\) | 5.81632i | 0.282133i | ||||||||
\(426\) | −14.7870 | + | 12.6622i | −0.716432 | + | 0.613484i | ||||
\(427\) | 6.87166 | + | 6.87166i | 0.332543 | + | 0.332543i | ||||
\(428\) | −6.27276 | + | 10.8647i | −0.303205 | + | 0.525167i | ||||
\(429\) | −2.64200 | − | 1.61992i | −0.127557 | − | 0.0782105i | ||||
\(430\) | 1.24824 | + | 2.16202i | 0.0601957 | + | 0.104262i | ||||
\(431\) | 3.86478 | − | 14.4235i | 0.186160 | − | 0.694758i | −0.808220 | − | 0.588881i | \(-0.799569\pi\) |
0.994379 | − | 0.105876i | \(-0.0337648\pi\) | |||||||
\(432\) | 0.156036 | + | 5.19381i | 0.00750730 | + | 0.249887i | ||||
\(433\) | −3.91621 | − | 2.26103i | −0.188201 | − | 0.108658i | 0.402939 | − | 0.915227i | \(-0.367989\pi\) |
−0.591140 | + | 0.806569i | \(0.701322\pi\) | |||||||
\(434\) | 0.116497 | − | 0.434771i | 0.00559201 | − | 0.0208697i | ||||
\(435\) | 12.5192 | + | 0.969102i | 0.600250 | + | 0.0464649i | ||||
\(436\) | −2.53558 | + | 9.46291i | −0.121432 | + | 0.453191i | ||||
\(437\) | −1.42956 | − | 5.33518i | −0.0683850 | − | 0.255216i | ||||
\(438\) | −10.2859 | − | 3.62757i | −0.491480 | − | 0.173332i | ||||
\(439\) | −11.5668 | − | 6.67809i | −0.552053 | − | 0.318728i | 0.197897 | − | 0.980223i | \(-0.436589\pi\) |
−0.749949 | + | 0.661495i | \(0.769922\pi\) | |||||||
\(440\) | 0.737687 | + | 0.197663i | 0.0351679 | + | 0.00942320i | ||||
\(441\) | −5.36117 | − | 13.8598i | −0.255294 | − | 0.659990i | ||||
\(442\) | −2.45092 | − | 7.58270i | −0.116579 | − | 0.360672i | ||||
\(443\) | 26.7016 | − | 15.4162i | 1.26863 | − | 0.732445i | 0.293903 | − | 0.955835i | \(-0.405046\pi\) |
0.974729 | + | 0.223390i | \(0.0717124\pi\) | |||||||
\(444\) | −8.53206 | − | 17.8289i | −0.404913 | − | 0.846120i | ||||
\(445\) | 5.43623 | 0.257702 | ||||||||
\(446\) | −4.58289 | − | 7.93780i | −0.217006 | − | 0.375865i | ||||
\(447\) | 1.40651 | − | 18.1697i | 0.0665254 | − | 0.859399i | ||||
\(448\) | 1.01155 | − | 1.01155i | 0.0477914 | − | 0.0477914i | ||||
\(449\) | 10.3894 | + | 38.7738i | 0.490306 | + | 1.82985i | 0.554874 | + | 0.831934i | \(0.312766\pi\) |
−0.0645682 | + | 0.997913i | \(0.520567\pi\) | |||||||
\(450\) | −3.19255 | + | 7.22046i | −0.150498 | + | 0.340376i | ||||
\(451\) | 1.99842 | − | 3.46137i | 0.0941020 | − | 0.162989i | ||||
\(452\) | −7.15327 | + | 12.3898i | −0.336461 | + | 0.582768i | ||||
\(453\) | −2.29752 | + | 29.6802i | −0.107947 | + | 1.39450i | ||||
\(454\) | 22.8707 | + | 13.2044i | 1.07337 | + | 0.619713i | ||||
\(455\) | 7.92762 | − | 0.403284i | 0.371653 | − | 0.0189062i | ||||
\(456\) | −5.08125 | − | 1.79202i | −0.237951 | − | 0.0839192i | ||||
\(457\) | −4.27321 | − | 15.9478i | −0.199892 | − | 0.746008i | −0.990946 | − | 0.134261i | \(-0.957134\pi\) |
0.791054 | − | 0.611747i | \(-0.209533\pi\) | |||||||
\(458\) | 12.3141 | − | 7.10955i | 0.575400 | − | 0.332207i | ||||
\(459\) | 0.344870 | + | 11.4793i | 0.0160972 | + | 0.535809i | ||||
\(460\) | −1.93220 | + | 1.93220i | −0.0900893 | + | 0.0900893i | ||||
\(461\) | −9.76161 | − | 9.76161i | −0.454643 | − | 0.454643i | 0.442249 | − | 0.896892i | \(-0.354181\pi\) |
−0.896892 | + | 0.442249i | \(0.854181\pi\) | |||||||
\(462\) | 0.0948988 | − | 1.22594i | 0.00441509 | − | 0.0570357i | ||||
\(463\) | 37.1831 | − | 9.96318i | 1.72805 | − | 0.463028i | 0.748314 | − | 0.663345i | \(-0.230864\pi\) |
0.979731 | + | 0.200316i | \(0.0641970\pi\) | |||||||
\(464\) | −4.07958 | + | 2.35535i | −0.189390 | + | 0.109344i | ||||
\(465\) | 0.545505 | + | 0.637045i | 0.0252972 | + | 0.0295423i | ||||
\(466\) | −20.7182 | + | 5.55141i | −0.959750 | + | 0.257164i | ||||
\(467\) | 8.54433 | 0.395385 | 0.197692 | − | 0.980264i | \(-0.436655\pi\) | ||||
0.197692 | + | 0.980264i | \(0.436655\pi\) | |||||||
\(468\) | 1.11950 | − | 10.7586i | 0.0517489 | − | 0.497315i | ||||
\(469\) | −11.3332 | −0.523319 | ||||||||
\(470\) | −18.2194 | + | 4.88188i | −0.840400 | + | 0.225185i | ||||
\(471\) | 12.6180 | − | 35.7782i | 0.581408 | − | 1.64857i | ||||
\(472\) | −2.42601 | + | 1.40066i | −0.111666 | + | 0.0644704i | ||||
\(473\) | −0.777580 | + | 0.208352i | −0.0357532 | + | 0.00958003i | ||||
\(474\) | −13.6384 | − | 9.34767i | −0.626435 | − | 0.429353i | ||||
\(475\) | −5.78855 | − | 5.78855i | −0.265597 | − | 0.265597i | ||||
\(476\) | 2.23573 | − | 2.23573i | 0.102474 | − | 0.102474i | ||||
\(477\) | 2.19402 | + | 5.67202i | 0.100457 | + | 0.259704i | ||||
\(478\) | 6.80960 | − | 3.93153i | 0.311464 | − | 0.179824i | ||||
\(479\) | 2.29400 | + | 8.56132i | 0.104816 | + | 0.391177i | 0.998324 | − | 0.0578691i | \(-0.0184306\pi\) |
−0.893509 | + | 0.449046i | \(0.851764\pi\) | |||||||
\(480\) | 0.489127 | + | 2.62030i | 0.0223255 | + | 0.119600i | ||||
\(481\) | 12.6544 | + | 39.1503i | 0.576990 | + | 1.78510i | ||||
\(482\) | 16.0291 | + | 9.25438i | 0.730104 | + | 0.421526i | ||||
\(483\) | 3.62894 | + | 2.48724i | 0.165123 | + | 0.113174i | ||||
\(484\) | 5.37687 | − | 9.31301i | 0.244403 | − | 0.423319i | ||||
\(485\) | 5.66959 | − | 9.82002i | 0.257443 | − | 0.445904i | ||||
\(486\) | −5.87282 | + | 14.4399i | −0.266396 | + | 0.655006i | ||||
\(487\) | −2.81256 | − | 10.4966i | −0.127449 | − | 0.475648i | 0.872466 | − | 0.488675i | \(-0.162520\pi\) |
−0.999915 | + | 0.0130276i | \(0.995853\pi\) | |||||||
\(488\) | 4.80350 | − | 4.80350i | 0.217444 | − | 0.217444i | ||||
\(489\) | −8.30840 | + | 3.97601i | −0.375719 | + | 0.179802i | ||||
\(490\) | −3.81164 | − | 6.60196i | −0.172192 | − | 0.298246i | ||||
\(491\) | −17.3462 | −0.782822 | −0.391411 | − | 0.920216i | \(-0.628013\pi\) | ||||
−0.391411 | + | 0.920216i | \(0.628013\pi\) | |||||||
\(492\) | 13.9085 | + | 1.07665i | 0.627044 | + | 0.0485390i | ||||
\(493\) | −9.01666 | + | 5.20577i | −0.406090 | + | 0.234456i | ||||
\(494\) | 9.98571 | + | 5.10727i | 0.449279 | + | 0.229787i | ||||
\(495\) | 1.78424 | + | 1.43728i | 0.0801957 | + | 0.0646007i | ||||
\(496\) | −0.303918 | − | 0.0814346i | −0.0136463 | − | 0.00365652i | ||||
\(497\) | 13.9247 | + | 8.03942i | 0.624607 | + | 0.360617i | ||||
\(498\) | 2.67559 | + | 14.3334i | 0.119896 | + | 0.642295i | ||||
\(499\) | −3.05648 | − | 11.4069i | −0.136827 | − | 0.510644i | −0.999984 | − | 0.00570844i | \(-0.998183\pi\) |
0.863157 | − | 0.504936i | \(-0.168484\pi\) | |||||||
\(500\) | −3.03976 | + | 11.3445i | −0.135942 | + | 0.507344i | ||||
\(501\) | −10.6237 | + | 15.5003i | −0.474634 | + | 0.692500i | ||||
\(502\) | 5.71709 | − | 21.3365i | 0.255166 | − | 0.952294i | ||||
\(503\) | −20.1247 | − | 11.6190i | −0.897316 | − | 0.518066i | −0.0209877 | − | 0.999780i | \(-0.506681\pi\) |
−0.876329 | + | 0.481714i | \(0.840014\pi\) | |||||||
\(504\) | 4.00264 | − | 1.54828i | 0.178292 | − | 0.0689660i | ||||
\(505\) | 2.19820 | − | 8.20380i | 0.0978186 | − | 0.365064i | ||||
\(506\) | −0.440564 | − | 0.763079i | −0.0195855 | − | 0.0339230i | ||||
\(507\) | −5.29540 | + | 21.8851i | −0.235177 | + | 0.971953i | ||||
\(508\) | 1.44766 | − | 2.50743i | 0.0642297 | − | 0.111249i | ||||
\(509\) | −2.53125 | − | 2.53125i | −0.112195 | − | 0.112195i | 0.648780 | − | 0.760976i | \(-0.275279\pi\) |
−0.760976 | + | 0.648780i | \(0.775279\pi\) | |||||||
\(510\) | 1.08106 | + | 5.79137i | 0.0478703 | + | 0.256446i | ||||
\(511\) | 9.00829i | 0.398503i | ||||||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −11.7677 | − | 11.0813i | −0.519558 | − | 0.489251i | ||||
\(514\) | −29.1787 | + | 7.81841i | −1.28702 | + | 0.344855i | ||||
\(515\) | −22.4105 | − | 6.00487i | −0.987523 | − | 0.264606i | ||||
\(516\) | −1.82751 | − | 2.13418i | −0.0804514 | − | 0.0939519i | ||||
\(517\) | − | 6.08223i | − | 0.267496i | ||||||
\(518\) | −11.5433 | + | 11.5433i | −0.507183 | + | 0.507183i | ||||
\(519\) | −2.73416 | + | 0.510381i | −0.120017 | + | 0.0224033i | ||||
\(520\) | −0.281908 | − | 5.54165i | −0.0123625 | − | 0.243017i | ||||
\(521\) | − | 4.89726i | − | 0.214553i | −0.994229 | − | 0.107277i | \(-0.965787\pi\) | ||
0.994229 | − | 0.107277i | \(-0.0342130\pi\) | |||||||
\(522\) | −14.0508 | + | 1.51331i | −0.614988 | + | 0.0662357i | ||||
\(523\) | 0.745466 | + | 1.29119i | 0.0325970 | + | 0.0564596i | 0.881864 | − | 0.471504i | \(-0.156289\pi\) |
−0.849267 | + | 0.527964i | \(0.822956\pi\) | |||||||
\(524\) | 13.0732 | 0.571107 | ||||||||
\(525\) | 6.50108 | + | 0.503244i | 0.283730 | + | 0.0219634i | ||||
\(526\) | −5.32422 | − | 1.42662i | −0.232147 | − | 0.0622036i | ||||
\(527\) | −0.671717 | − | 0.179986i | −0.0292605 | − | 0.00784032i | ||||
\(528\) | −0.856966 | − | 0.0663371i | −0.0372947 | − | 0.00288695i | ||||
\(529\) | −19.8473 | −0.862928 | ||||||||
\(530\) | 1.55989 | + | 2.70180i | 0.0677572 | + | 0.117359i | ||||
\(531\) | −8.35562 | + | 0.899921i | −0.362603 | + | 0.0390532i | ||||
\(532\) | 4.45011i | 0.192937i | ||||||||
\(533\) | −28.3956 | − | 6.08118i | −1.22995 | − | 0.263405i | ||||
\(534\) | −6.01440 | + | 1.12270i | −0.260268 | + | 0.0485838i | ||||
\(535\) | −13.6522 | + | 13.6522i | −0.590235 | + | 0.590235i | ||||
\(536\) | 7.92226i | 0.342190i | ||||||||
\(537\) | −11.3311 | − | 13.2325i | −0.488972 | − | 0.571026i | ||||
\(538\) | 18.7580 | + | 5.02619i | 0.808714 | + | 0.216694i | ||||
\(539\) | 2.37442 | − | 0.636224i | 0.102274 | − | 0.0274041i | ||||
\(540\) | −1.83681 | + | 7.78288i | −0.0790437 | + | 0.334922i | ||||
\(541\) | −1.70268 | − | 1.70268i | −0.0732039 | − | 0.0732039i | 0.669557 | − | 0.742761i | \(-0.266484\pi\) |
−0.742761 | + | 0.669557i | \(0.766484\pi\) | |||||||
\(542\) | − | 22.4023i | − | 0.962260i | ||||||
\(543\) | 3.79754 | + | 20.3438i | 0.162968 | + | 0.873036i | ||||
\(544\) | −1.56284 | − | 1.56284i | −0.0670063 | − | 0.0670063i | ||||
\(545\) | −7.53840 | + | 13.0569i | −0.322910 | + | 0.559296i | ||||
\(546\) | −8.68748 | + | 2.08340i | −0.371790 | + | 0.0891612i | ||||
\(547\) | 6.38104 | + | 11.0523i | 0.272833 | + | 0.472561i | 0.969586 | − | 0.244750i | \(-0.0787059\pi\) |
−0.696753 | + | 0.717311i | \(0.745373\pi\) | |||||||
\(548\) | 1.68543 | − | 6.29012i | 0.0719981 | − | 0.268701i | ||||
\(549\) | 19.0071 | − | 7.35223i | 0.811203 | − | 0.313785i | ||||
\(550\) | −1.13097 | − | 0.652963i | −0.0482245 | − | 0.0278424i | ||||
\(551\) | 3.79269 | − | 14.1545i | 0.161574 | − | 0.603003i | ||||
\(552\) | 1.73866 | − | 2.53674i | 0.0740022 | − | 0.107971i | ||||
\(553\) | −3.53450 | + | 13.1909i | −0.150302 | + | 0.560936i | ||||
\(554\) | −2.28369 | − | 8.52286i | −0.0970248 | − | 0.362102i | ||||
\(555\) | −5.58165 | − | 29.9015i | −0.236928 | − | 1.26925i | ||||
\(556\) | −14.4469 | − | 8.34095i | −0.612687 | − | 0.353735i | ||||
\(557\) | −11.2158 | − | 3.00527i | −0.475229 | − | 0.127337i | 0.0132513 | − | 0.999912i | \(-0.495782\pi\) |
−0.488480 | + | 0.872575i | \(0.662449\pi\) | |||||||
\(558\) | −0.735085 | − | 0.592140i | −0.0311186 | − | 0.0250673i | ||||
\(559\) | 3.17801 | + | 4.91016i | 0.134415 | + | 0.207678i | ||||
\(560\) | 1.90661 | − | 1.10078i | 0.0805692 | − | 0.0465166i | ||||
\(561\) | −1.89406 | − | 0.146618i | −0.0799673 | − | 0.00619021i | ||||
\(562\) | −17.9061 | −0.755323 | ||||||||
\(563\) | 20.4323 | + | 35.3898i | 0.861119 | + | 1.49150i | 0.870849 | + | 0.491550i | \(0.163569\pi\) |
−0.00973001 | + | 0.999953i | \(0.503097\pi\) | |||||||
\(564\) | 19.1490 | − | 9.16380i | 0.806317 | − | 0.385866i | ||||
\(565\) | −15.5685 | + | 15.5685i | −0.654973 | + | 0.654973i | ||||
\(566\) | 1.89264 | + | 7.06341i | 0.0795534 | + | 0.296897i | ||||
\(567\) | 12.8606 | + | 0.607750i | 0.540096 | + | 0.0255231i | ||||
\(568\) | 5.61980 | − | 9.73378i | 0.235802 | − | 0.408420i | ||||
\(569\) | −3.20683 | + | 5.55440i | −0.134437 | + | 0.232852i | −0.925382 | − | 0.379035i | \(-0.876256\pi\) |
0.790945 | + | 0.611887i | \(0.209589\pi\) | |||||||
\(570\) | −6.83962 | − | 4.68782i | −0.286480 | − | 0.196351i | ||||
\(571\) | 11.8701 | + | 6.85319i | 0.496747 | + | 0.286797i | 0.727369 | − | 0.686246i | \(-0.240743\pi\) |
−0.230622 | + | 0.973043i | \(0.574076\pi\) | |||||||
\(572\) | 1.74958 | + | 0.374689i | 0.0731537 | + | 0.0156665i | ||||
\(573\) | −6.94317 | − | 37.1953i | −0.290055 | − | 1.55385i | ||||
\(574\) | −2.98207 | − | 11.1292i | −0.124469 | − | 0.464525i | ||||
\(575\) | 4.04658 | − | 2.33629i | 0.168754 | − | 0.0974301i | ||||
\(576\) | −1.08230 | − | 2.79797i | −0.0450957 | − | 0.116582i | ||||
\(577\) | −10.8626 | + | 10.8626i | −0.452214 | + | 0.452214i | −0.896089 | − | 0.443875i | \(-0.853604\pi\) |
0.443875 | + | 0.896089i | \(0.353604\pi\) | |||||||
\(578\) | 8.56663 | + | 8.56663i | 0.356325 | + | 0.356325i | ||||
\(579\) | −18.7041 | − | 12.8196i | −0.777315 | − | 0.532765i | ||||
\(580\) | −7.00256 | + | 1.87633i | −0.290766 | + | 0.0779104i | ||||
\(581\) | 10.4294 | − | 6.02144i | 0.432686 | − | 0.249811i | ||||
\(582\) | −4.24454 | + | 12.0353i | −0.175942 | + | 0.498880i | ||||
\(583\) | −0.971715 | + | 0.260370i | −0.0402443 | + | 0.0107834i | ||||
\(584\) | 6.29707 | 0.260575 | ||||||||
\(585\) | 5.94944 | − | 15.5470i | 0.245979 | − | 0.642788i | ||||
\(586\) | 14.2641 | 0.589246 | ||||||||
\(587\) | 2.47016 | − | 0.661876i | 0.101954 | − | 0.0273186i | −0.207481 | − | 0.978239i | \(-0.566527\pi\) |
0.309435 | + | 0.950920i | \(0.399860\pi\) | |||||||
\(588\) | 5.58047 | + | 6.51693i | 0.230135 | + | 0.268753i | ||||
\(589\) | 0.847637 | − | 0.489383i | 0.0349263 | − | 0.0201647i | ||||
\(590\) | −4.16422 | + | 1.11580i | −0.171438 | + | 0.0459368i | ||||
\(591\) | 0.329591 | − | 4.25777i | 0.0135576 | − | 0.175141i | ||||
\(592\) | 8.06912 | + | 8.06912i | 0.331639 | + | 0.331639i | ||||
\(593\) | −15.9796 | + | 15.9796i | −0.656204 | + | 0.656204i | −0.954480 | − | 0.298276i | \(-0.903588\pi\) |
0.298276 | + | 0.954480i | \(0.403588\pi\) | |||||||
\(594\) | −2.27083 | − | 1.22165i | −0.0931734 | − | 0.0501251i | ||||
\(595\) | 4.21399 | − | 2.43295i | 0.172757 | − | 0.0997411i | ||||
\(596\) | 2.72321 | + | 10.1632i | 0.111547 | + | 0.416299i | ||||
\(597\) | 34.2273 | + | 12.0711i | 1.40083 | + | 0.494035i | ||||
\(598\) | −4.29101 | + | 4.75098i | −0.175472 | + | 0.194282i | ||||
\(599\) | 20.6867 | + | 11.9435i | 0.845237 | + | 0.487998i | 0.859041 | − | 0.511907i | \(-0.171061\pi\) |
−0.0138036 | + | 0.999905i | \(0.504394\pi\) | |||||||
\(600\) | 0.351783 | − | 4.54445i | 0.0143615 | − | 0.185527i | ||||
\(601\) | 12.7060 | − | 22.0074i | 0.518287 | − | 0.897700i | −0.481487 | − | 0.876453i | \(-0.659903\pi\) |
0.999774 | − | 0.0212465i | \(-0.00676348\pi\) | |||||||
\(602\) | −1.16031 | + | 2.00972i | −0.0472908 | + | 0.0819101i | ||||
\(603\) | −9.61101 | + | 21.7368i | −0.391391 | + | 0.885191i | ||||
\(604\) | −4.44836 | − | 16.6015i | −0.181001 | − | 0.675505i | ||||
\(605\) | 11.7023 | − | 11.7023i | 0.475768 | − | 0.475768i | ||||
\(606\) | −0.737733 | + | 9.53029i | −0.0299683 | + | 0.387142i | ||||
\(607\) | −10.3003 | − | 17.8407i | −0.418078 | − | 0.724132i | 0.577668 | − | 0.816272i | \(-0.303963\pi\) |
−0.995746 | + | 0.0921396i | \(0.970629\pi\) | |||||||
\(608\) | 3.11076 | 0.126158 | ||||||||
\(609\) | 5.03850 | + | 10.5286i | 0.204170 | + | 0.426641i | ||||
\(610\) | 9.05382 | − | 5.22722i | 0.366578 | − | 0.211644i | ||||
\(611\) | −42.0491 | + | 13.5913i | −1.70112 | + | 0.549847i | ||||
\(612\) | −2.39208 | − | 6.18405i | −0.0966942 | − | 0.249975i | ||||
\(613\) | −6.32348 | − | 1.69437i | −0.255403 | − | 0.0684350i | 0.128846 | − | 0.991665i | \(-0.458873\pi\) |
−0.384249 | + | 0.923230i | \(0.625539\pi\) | |||||||
\(614\) | 19.0916 | + | 11.0226i | 0.770476 | + | 0.444835i | ||||
\(615\) | 20.2465 | + | 7.14040i | 0.816417 | + | 0.287929i | ||||
\(616\) | 0.183739 | + | 0.685722i | 0.00740304 | + | 0.0276285i | ||||
\(617\) | −4.13493 | + | 15.4318i | −0.166466 | + | 0.621260i | 0.831383 | + | 0.555700i | \(0.187550\pi\) |
−0.997849 | + | 0.0655593i | \(0.979117\pi\) | |||||||
\(618\) | 26.0341 | + | 2.01528i | 1.04724 | + | 0.0810664i | ||||
\(619\) | 5.84160 | − | 21.8012i | 0.234794 | − | 0.876263i | −0.743448 | − | 0.668794i | \(-0.766811\pi\) |
0.978242 | − | 0.207469i | \(-0.0665225\pi\) | |||||||
\(620\) | −0.419345 | − | 0.242109i | −0.0168413 | − | 0.00972334i | ||||
\(621\) | 7.84795 | − | 4.85093i | 0.314927 | − | 0.194661i | ||||
\(622\) | 6.40761 | − | 23.9135i | 0.256922 | − | 0.958845i | ||||
\(623\) | 2.52664 | + | 4.37627i | 0.101228 | + | 0.175331i | ||||
\(624\) | 1.45636 | + | 6.07281i | 0.0583010 | + | 0.243107i | ||||
\(625\) | −2.45839 | + | 4.25805i | −0.0983355 | + | 0.170322i | ||||
\(626\) | 22.7271 | + | 22.7271i | 0.908359 | + | 0.908359i | ||||
\(627\) | 2.03093 | − | 1.73910i | 0.0811077 | − | 0.0694529i | ||||
\(628\) | 21.9035i | 0.874046i | ||||||||
\(629\) | 17.8343 | + | 17.8343i | 0.711100 | + | 0.711100i | ||||
\(630\) | 6.56673 | − | 0.707253i | 0.261625 | − | 0.0281777i | ||||
\(631\) | −16.8737 | + | 4.52128i | −0.671730 | + | 0.179989i | −0.578534 | − | 0.815658i | \(-0.696375\pi\) |
−0.0931960 | + | 0.995648i | \(0.529708\pi\) | |||||||
\(632\) | 9.22086 | + | 2.47072i | 0.366786 | + | 0.0982801i | ||||
\(633\) | 24.0546 | − | 4.49022i | 0.956084 | − | 0.178470i | ||||
\(634\) | − | 29.9265i | − | 1.18853i | ||||||
\(635\) | 3.15073 | − | 3.15073i | 0.125033 | − | 0.125033i | ||||
\(636\) | −2.28377 | − | 2.66700i | −0.0905573 | − | 0.105754i | ||||
\(637\) | −9.70437 | − | 14.9937i | −0.384501 | − | 0.594072i | ||||
\(638\) | − | 2.33768i | − | 0.0925496i | ||||||
\(639\) | 27.2281 | − | 19.8894i | 1.07713 | − | 0.786814i | ||||
\(640\) | −0.769482 | − | 1.33278i | −0.0304164 | − | 0.0526828i | ||||
\(641\) | −36.5684 | −1.44436 | −0.722182 | − | 0.691703i | \(-0.756861\pi\) | ||||
−0.722182 | + | 0.691703i | \(0.756861\pi\) | |||||||
\(642\) | 12.2847 | − | 17.9236i | 0.484838 | − | 0.707389i | ||||
\(643\) | −33.7924 | − | 9.05466i | −1.33264 | − | 0.357081i | −0.478944 | − | 0.877846i | \(-0.658980\pi\) |
−0.853700 | + | 0.520765i | \(0.825647\pi\) | |||||||
\(644\) | −2.45350 | − | 0.657414i | −0.0966815 | − | 0.0259057i | ||||
\(645\) | −1.86656 | − | 3.90042i | −0.0734958 | − | 0.153579i | ||||
\(646\) | 6.87538 | 0.270508 | ||||||||
\(647\) | −9.58684 | − | 16.6049i | −0.376897 | − | 0.652806i | 0.613712 | − | 0.789530i | \(-0.289676\pi\) |
−0.990609 | + | 0.136725i | \(0.956342\pi\) | |||||||
\(648\) | 0.424835 | − | 8.98997i | 0.0166891 | − | 0.353159i | ||||
\(649\) | − | 1.39015i | − | 0.0545682i | ||||||
\(650\) | −1.98696 | + | 9.27796i | −0.0779350 | + | 0.363911i | ||||
\(651\) | −0.259295 | + | 0.735226i | −0.0101626 | + | 0.0288158i | ||||
\(652\) | 3.76028 | − | 3.76028i | 0.147264 | − | 0.147264i | ||||
\(653\) | 6.63054i | 0.259473i | 0.991548 | + | 0.129737i | \(0.0414132\pi\) | ||||
−0.991548 | + | 0.129737i | \(0.958587\pi\) | |||||||
\(654\) | 5.64363 | − | 16.0024i | 0.220683 | − | 0.625744i | ||||
\(655\) | 19.4337 | + | 5.20724i | 0.759337 | + | 0.203464i | ||||
\(656\) | −7.77966 | + | 2.08455i | −0.303745 | + | 0.0813882i | ||||
\(657\) | 17.2777 | + | 7.63938i | 0.674066 | + | 0.298041i | ||||
\(658\) | −12.3980 | − | 12.3980i | −0.483325 | − | 0.483325i | ||||
\(659\) | 21.6577i | 0.843665i | 0.906674 | + | 0.421833i | \(0.138613\pi\) | ||||
−0.906674 | + | 0.421833i | \(0.861387\pi\) | |||||||
\(660\) | −1.24748 | − | 0.439952i | −0.0485580 | − | 0.0171251i | ||||
\(661\) | 7.30997 | + | 7.30997i | 0.284325 | + | 0.284325i | 0.834831 | − | 0.550506i | \(-0.185565\pi\) |
−0.550506 | + | 0.834831i | \(0.685565\pi\) | |||||||
\(662\) | 3.31702 | − | 5.74525i | 0.128920 | − | 0.223295i | ||||
\(663\) | 3.21883 | + | 13.4221i | 0.125009 | + | 0.521270i | ||||
\(664\) | −4.20917 | − | 7.29049i | −0.163347 | − | 0.282926i | ||||
\(665\) | −1.77254 | + | 6.61519i | −0.0687360 | + | 0.256526i | ||||
\(666\) | 12.3506 | + | 31.9289i | 0.478575 | + | 1.23722i | ||||
\(667\) | 7.24360 | + | 4.18209i | 0.280473 | + | 0.161931i | ||||
\(668\) | 2.80800 | − | 10.4796i | 0.108645 | − | 0.405469i | ||||
\(669\) | 6.85302 | + | 14.3203i | 0.264953 | + | 0.553654i | ||||
\(670\) | −3.15554 | + | 11.7766i | −0.121909 | + | 0.454971i | ||||
\(671\) | 0.872508 | + | 3.25624i | 0.0336828 | + | 0.125706i | ||||
\(672\) | −1.88206 | + | 1.61162i | −0.0726020 | + | 0.0621694i | ||||
\(673\) | 22.7770 | + | 13.1503i | 0.877990 | + | 0.506908i | 0.869995 | − | 0.493060i | \(-0.164122\pi\) |
0.00799497 | + | 0.999968i | \(0.497455\pi\) | |||||||
\(674\) | 22.4939 | + | 6.02723i | 0.866434 | + | 0.232160i | ||||
\(675\) | 6.47838 | − | 12.0421i | 0.249353 | − | 0.463502i | ||||
\(676\) | −1.31923 | − | 12.9329i | −0.0507394 | − | 0.497419i | ||||
\(677\) | −0.260338 | + | 0.150306i | −0.0100056 | + | 0.00577673i | −0.504994 | − | 0.863123i | \(-0.668505\pi\) |
0.494989 | + | 0.868899i | \(0.335172\pi\) | |||||||
\(678\) | 14.0091 | − | 20.4396i | 0.538016 | − | 0.784977i | ||||
\(679\) | 10.5404 | 0.404504 | ||||||||
\(680\) | −1.70070 | − | 2.94570i | −0.0652190 | − | 0.112963i | ||||
\(681\) | −37.7299 | − | 25.8597i | −1.44581 | − | 0.990948i | ||||
\(682\) | 0.110407 | − | 0.110407i | 0.00422772 | − | 0.00422772i | ||||
\(683\) | 0.894421 | + | 3.33802i | 0.0342241 | + | 0.127726i | 0.980924 | − | 0.194390i | \(-0.0622727\pi\) |
−0.946700 | + | 0.322116i | \(0.895606\pi\) | |||||||
\(684\) | 8.53518 | + | 3.77386i | 0.326351 | + | 0.144297i | ||||
\(685\) | 5.01088 | − | 8.67909i | 0.191456 | − | 0.331611i | ||||
\(686\) | 8.55007 | − | 14.8092i | 0.326443 | − | 0.565416i | ||||
\(687\) | −22.2154 | + | 10.6313i | −0.847571 | + | 0.405608i | ||||
\(688\) | 1.40486 | + | 0.811094i | 0.0535596 | + | 0.0309227i | ||||
\(689\) | 3.97144 | + | 6.13606i | 0.151300 | + | 0.233765i | ||||
\(690\) | 3.59498 | − | 3.07840i | 0.136858 | − | 0.117193i | ||||
\(691\) | 8.65698 | + | 32.3083i | 0.329327 | + | 1.22906i | 0.909890 | + | 0.414849i | \(0.136166\pi\) |
−0.580563 | + | 0.814215i | \(0.697168\pi\) | |||||||
\(692\) | 1.39070 | − | 0.802919i | 0.0528663 | − | 0.0305224i | ||||
\(693\) | −0.327758 | + | 2.10436i | −0.0124505 | + | 0.0799381i | ||||
\(694\) | −14.2693 | + | 14.2693i | −0.541655 | + | 0.541655i | ||||
\(695\) | −18.1534 | − | 18.1534i | −0.688599 | − | 0.688599i | ||||
\(696\) | 7.35982 | − | 3.52207i | 0.278973 | − | 0.133504i | ||||
\(697\) | −17.1946 | + | 4.60727i | −0.651290 | + | 0.174513i | ||||
\(698\) | −21.7369 | + | 12.5498i | −0.822752 | + | 0.475016i | ||||
\(699\) | 36.5200 | − | 6.81711i | 1.38131 | − | 0.257847i | ||||
\(700\) | −3.63635 | + | 0.974358i | −0.137441 | + | 0.0368273i | ||||
\(701\) | 14.8908 | 0.562418 | 0.281209 | − | 0.959647i | \(-0.409265\pi\) | ||||
0.281209 | + | 0.959647i | \(0.409265\pi\) | |||||||
\(702\) | −3.37142 | + | 18.4291i | −0.127246 | + | 0.695563i | ||||
\(703\) | −35.4983 | −1.33884 | ||||||||
\(704\) | 0.479340 | − | 0.128439i | 0.0180658 | − | 0.00484072i | ||||
\(705\) | 32.1155 | − | 5.99493i | 1.20954 | − | 0.225782i | ||||
\(706\) | 22.5939 | − | 13.0446i | 0.850333 | − | 0.490940i | ||||
\(707\) | 7.62589 | − | 2.04335i | 0.286801 | − | 0.0768481i | ||||
\(708\) | 4.37667 | − | 2.09447i | 0.164485 | − | 0.0787150i | ||||
\(709\) | −17.4183 | − | 17.4183i | −0.654157 | − | 0.654157i | 0.299834 | − | 0.953991i | \(-0.403069\pi\) |
−0.953991 | + | 0.299834i | \(0.903069\pi\) | |||||||
\(710\) | 12.2311 | − | 12.2311i | 0.459024 | − | 0.459024i | ||||
\(711\) | 22.3025 | + | 17.9655i | 0.836408 | + | 0.673759i | ||||
\(712\) | 3.05914 | − | 1.76620i | 0.114646 | − | 0.0661910i | ||||
\(713\) | 0.144593 | + | 0.539629i | 0.00541505 | + | 0.0202093i | ||||
\(714\) | −4.15971 | + | 3.56198i | −0.155673 | + | 0.133304i | ||||
\(715\) | 2.45155 | + | 1.25387i | 0.0916829 | + | 0.0468919i | ||||
\(716\) | 8.71053 | + | 5.02903i | 0.325528 | + | 0.187944i | ||||
\(717\) | −12.2850 | + | 5.87901i | −0.458790 | + | 0.219556i | ||||
\(718\) | 16.3855 | − | 28.3805i | 0.611502 | − | 1.05915i | ||||
\(719\) | −17.8371 | + | 30.8948i | −0.665213 | + | 1.15218i | 0.314014 | + | 0.949418i | \(0.398326\pi\) |
−0.979227 | + | 0.202765i | \(0.935007\pi\) | |||||||
\(720\) | −0.494392 | − | 4.59034i | −0.0184249 | − | 0.171072i | ||||
\(721\) | −5.58186 | − | 20.8318i | −0.207879 | − | 0.775816i | ||||
\(722\) | 6.59248 | − | 6.59248i | 0.245347 | − | 0.245347i | ||||
\(723\) | −26.4432 | − | 18.1240i | −0.983435 | − | 0.674037i | ||||
\(724\) | −5.97419 | − | 10.3476i | −0.222029 | − | 0.384565i | ||||
\(725\) | 12.3966 | 0.460399 | ||||||||
\(726\) | −10.5302 | + | 15.3637i | −0.390811 | + | 0.570201i | ||||
\(727\) | −8.14708 | + | 4.70372i | −0.302159 | + | 0.174451i | −0.643412 | − | 0.765520i | \(-0.722482\pi\) |
0.341254 | + | 0.939971i | \(0.389149\pi\) | |||||||
\(728\) | 4.33011 | − | 2.80258i | 0.160484 | − | 0.103870i | ||||
\(729\) | 12.0720 | − | 24.1509i | 0.447110 | − | 0.894479i | ||||
\(730\) | 9.36075 | + | 2.50821i | 0.346457 | + | 0.0928328i | ||||
\(731\) | 3.10500 | + | 1.79267i | 0.114843 | + | 0.0663044i | ||||
\(732\) | −8.93721 | + | 7.65297i | −0.330329 | + | 0.282862i | ||||
\(733\) | −8.37893 | − | 31.2706i | −0.309483 | − | 1.15501i | −0.929017 | − | 0.370037i | \(-0.879345\pi\) |
0.619534 | − | 0.784970i | \(-0.287322\pi\) | |||||||
\(734\) | −0.151492 | + | 0.565376i | −0.00559167 | + | 0.0208684i | ||||
\(735\) | 5.69974 | + | 11.9103i | 0.210238 | + | 0.439320i | ||||
\(736\) | −0.459552 | + | 1.71507i | −0.0169393 | + | 0.0632184i | ||||
\(737\) | −3.40471 | − | 1.96571i | −0.125414 | − | 0.0724079i | ||||
\(738\) | −23.8745 | − | 3.71849i | −0.878831 | − | 0.136880i | ||||
\(739\) | 7.68766 | − | 28.6907i | 0.282795 | − | 1.05541i | −0.667640 | − | 0.744484i | \(-0.732696\pi\) |
0.950436 | − | 0.310922i | \(-0.100638\pi\) | |||||||
\(740\) | 8.78091 | + | 15.2090i | 0.322793 | + | 0.559093i | ||||
\(741\) | −16.5615 | − | 10.1545i | −0.608400 | − | 0.373036i | ||||
\(742\) | −1.45000 | + | 2.51148i | −0.0532313 | + | 0.0921993i | ||||
\(743\) | −17.4277 | − | 17.4277i | −0.639359 | − | 0.639359i | 0.311038 | − | 0.950397i | \(-0.399323\pi\) |
−0.950397 | + | 0.311038i | \(0.899323\pi\) | |||||||
\(744\) | 0.513946 | + | 0.181255i | 0.0188422 | + | 0.00664513i | ||||
\(745\) | 16.1925i | 0.593247i | ||||||||
\(746\) | −19.3592 | − | 19.3592i | −0.708790 | − | 0.708790i | ||||
\(747\) | −2.70439 | − | 25.1098i | −0.0989484 | − | 0.918719i | ||||
\(748\) | 1.05943 | − | 0.283875i | 0.0387368 | − | 0.0103795i | ||||
\(749\) | −17.3355 | − | 4.64503i | −0.633425 | − | 0.169726i | ||||
\(750\) | 6.76582 | − | 19.1844i | 0.247053 | − | 0.700515i | ||||
\(751\) | 22.1321i | 0.807610i | 0.914845 | + | 0.403805i | \(0.132313\pi\) | ||||
−0.914845 | + | 0.403805i | \(0.867687\pi\) | |||||||
\(752\) | −8.66658 | + | 8.66658i | −0.316038 | + | 0.316038i | ||||
\(753\) | −12.7250 | + | 36.0814i | −0.463723 | + | 1.31488i | ||||
\(754\) | −16.1614 | + | 5.22378i | −0.588563 | + | 0.190239i | ||||
\(755\) | − | 26.4504i | − | 0.962628i | ||||||
\(756\) | −7.11907 | + | 2.13864i | −0.258918 | + | 0.0777817i | ||||
\(757\) | 25.1440 | + | 43.5507i | 0.913875 | + | 1.58288i | 0.808540 | + | 0.588442i | \(0.200258\pi\) |
0.105336 | + | 0.994437i | \(0.466408\pi\) | |||||||
\(758\) | 3.22915 | 0.117288 | ||||||||
\(759\) | 0.658797 | + | 1.37664i | 0.0239128 | + | 0.0499690i | ||||
\(760\) | 4.62422 | + | 1.23906i | 0.167738 | + | 0.0449453i | ||||
\(761\) | 8.09766 | + | 2.16976i | 0.293540 | + | 0.0786538i | 0.402584 | − | 0.915383i | \(-0.368112\pi\) |
−0.109044 | + | 0.994037i | \(0.534779\pi\) | |||||||
\(762\) | −2.83513 | + | 4.13652i | −0.102706 | + | 0.149850i | ||||
\(763\) | −14.0147 | −0.507368 | ||||||||
\(764\) | 10.9228 | + | 18.9189i | 0.395174 | + | 0.684461i | ||||
\(765\) | −1.09270 | − | 10.1455i | −0.0395067 | − | 0.366813i | ||||
\(766\) | − | 14.1015i | − | 0.509508i | ||||||
\(767\) | −9.61071 | + | 3.10643i | −0.347023 | + | 0.112167i | ||||
\(768\) | 1.12657 | + | 1.31562i | 0.0406515 | + | 0.0474732i | ||||
\(769\) | −10.9600 | + | 10.9600i | −0.395229 |