Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [240,2,Mod(59,240)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(240, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("240.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 240 = 2^{4} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 240.t (of order \(4\), 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: | \(1.91640964851\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 59.1 | ||
Character | \(\chi\) | \(=\) | 240.59 |
Dual form | 240.2.t.b.179.1 |
$q$-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 \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(161\) | \(181\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41336 | + | 0.0490154i | −0.999399 | + | 0.0346591i | ||||
\(3\) | 0.209895 | + | 1.71929i | 0.121183 | + | 0.992630i | ||||
\(4\) | 1.99519 | − | 0.138553i | 0.997597 | − | 0.0692766i | ||||
\(5\) | −0.768175 | − | 2.09998i | −0.343538 | − | 0.939139i | ||||
\(6\) | −0.380929 | − | 2.41969i | −0.155514 | − | 0.987834i | ||||
\(7\) | − | 4.08340i | − | 1.54338i | −0.636000 | − | 0.771689i | \(-0.719412\pi\) | ||
0.636000 | − | 0.771689i | \(-0.280588\pi\) | |||||||
\(8\) | −2.81315 | + | 0.293621i | −0.994597 | + | 0.103811i | ||||
\(9\) | −2.91189 | + | 0.721739i | −0.970629 | + | 0.240580i | ||||
\(10\) | 1.18864 | + | 2.93038i | 0.375881 | + | 0.926668i | ||||
\(11\) | −3.73399 | − | 3.73399i | −1.12584 | − | 1.12584i | −0.990846 | − | 0.134995i | \(-0.956898\pi\) |
−0.134995 | − | 0.990846i | \(-0.543102\pi\) | |||||||
\(12\) | 0.656994 | + | 3.40123i | 0.189658 | + | 0.981850i | ||||
\(13\) | 0.658169 | + | 0.658169i | 0.182543 | + | 0.182543i | 0.792463 | − | 0.609920i | \(-0.208798\pi\) |
−0.609920 | + | 0.792463i | \(0.708798\pi\) | |||||||
\(14\) | 0.200149 | + | 5.77133i | 0.0534921 | + | 1.54245i | ||||
\(15\) | 3.44923 | − | 1.76149i | 0.890587 | − | 0.454814i | ||||
\(16\) | 3.96161 | − | 0.552881i | 0.990402 | − | 0.138220i | ||||
\(17\) | 2.37750 | 0.576630 | 0.288315 | − | 0.957536i | \(-0.406905\pi\) | ||||
0.288315 | + | 0.957536i | \(0.406905\pi\) | |||||||
\(18\) | 4.08018 | − | 1.16281i | 0.961708 | − | 0.274076i | ||||
\(19\) | −3.49873 | − | 3.49873i | −0.802663 | − | 0.802663i | 0.180848 | − | 0.983511i | \(-0.442116\pi\) |
−0.983511 | + | 0.180848i | \(0.942116\pi\) | |||||||
\(20\) | −1.82362 | − | 4.08343i | −0.407773 | − | 0.913083i | ||||
\(21\) | 7.02053 | − | 0.857084i | 1.53200 | − | 0.187031i | ||||
\(22\) | 5.46051 | + | 5.09447i | 1.16419 | + | 1.08614i | ||||
\(23\) | 4.63710 | 0.966902 | 0.483451 | − | 0.875371i | \(-0.339383\pi\) | ||||
0.483451 | + | 0.875371i | \(0.339383\pi\) | |||||||
\(24\) | −1.09528 | − | 4.77497i | −0.223574 | − | 0.974687i | ||||
\(25\) | −3.81982 | + | 3.22630i | −0.763963 | + | 0.645260i | ||||
\(26\) | −0.962493 | − | 0.897972i | −0.188760 | − | 0.176107i | ||||
\(27\) | −1.85207 | − | 4.85488i | −0.356430 | − | 0.934322i | ||||
\(28\) | −0.565767 | − | 8.14717i | −0.106920 | − | 1.53967i | ||||
\(29\) | 1.57201 | + | 1.57201i | 0.291914 | + | 0.291914i | 0.837836 | − | 0.545922i | \(-0.183820\pi\) |
−0.545922 | + | 0.837836i | \(0.683820\pi\) | |||||||
\(30\) | −4.78867 | + | 2.65869i | −0.874288 | + | 0.485408i | ||||
\(31\) | 0.107179i | 0.0192498i | 0.999954 | + | 0.00962491i | \(0.00306375\pi\) | ||||
−0.999954 | + | 0.00962491i | \(0.996936\pi\) | |||||||
\(32\) | −5.57209 | + | 0.975602i | −0.985016 | + | 0.172464i | ||||
\(33\) | 5.63606 | − | 7.20355i | 0.981111 | − | 1.25398i | ||||
\(34\) | −3.36028 | + | 0.116534i | −0.576283 | + | 0.0199855i | ||||
\(35\) | −8.57504 | + | 3.13676i | −1.44945 | + | 0.530210i | ||||
\(36\) | −5.70979 | + | 1.84346i | −0.951631 | + | 0.307243i | ||||
\(37\) | 0.798876 | − | 0.798876i | 0.131334 | − | 0.131334i | −0.638384 | − | 0.769718i | \(-0.720397\pi\) |
0.769718 | + | 0.638384i | \(0.220397\pi\) | |||||||
\(38\) | 5.11647 | + | 4.77348i | 0.830000 | + | 0.774361i | ||||
\(39\) | −0.993434 | + | 1.26973i | −0.159077 | + | 0.203319i | ||||
\(40\) | 2.77759 | + | 5.68199i | 0.439175 | + | 0.898402i | ||||
\(41\) | 8.35437 | 1.30473 | 0.652366 | − | 0.757904i | \(-0.273776\pi\) | ||||
0.652366 | + | 0.757904i | \(0.273776\pi\) | |||||||
\(42\) | −9.88055 | + | 1.55549i | −1.52460 | + | 0.240017i | ||||
\(43\) | 0.742112 | + | 0.742112i | 0.113171 | + | 0.113171i | 0.761425 | − | 0.648254i | \(-0.224500\pi\) |
−0.648254 | + | 0.761425i | \(0.724500\pi\) | |||||||
\(44\) | −7.96740 | − | 6.93269i | −1.20113 | − | 1.04514i | ||||
\(45\) | 3.75247 | + | 5.56048i | 0.559386 | + | 0.828907i | ||||
\(46\) | −6.55391 | + | 0.227289i | −0.966321 | + | 0.0335120i | ||||
\(47\) | − | 1.98407i | − | 0.289407i | −0.989475 | − | 0.144703i | \(-0.953777\pi\) | ||
0.989475 | − | 0.144703i | \(-0.0462228\pi\) | |||||||
\(48\) | 1.78208 | + | 6.69509i | 0.257221 | + | 0.966353i | ||||
\(49\) | −9.67413 | −1.38202 | ||||||||
\(50\) | 5.24065 | − | 4.74717i | 0.741140 | − | 0.671351i | ||||
\(51\) | 0.499026 | + | 4.08761i | 0.0698776 | + | 0.572380i | ||||
\(52\) | 1.40437 | + | 1.22198i | 0.194751 | + | 0.169459i | ||||
\(53\) | −2.31137 | − | 2.31137i | −0.317491 | − | 0.317491i | 0.530312 | − | 0.847803i | \(-0.322075\pi\) |
−0.847803 | + | 0.530312i | \(0.822075\pi\) | |||||||
\(54\) | 2.85561 | + | 6.77093i | 0.388599 | + | 0.921407i | ||||
\(55\) | −4.97295 | + | 10.7097i | −0.670552 | + | 1.44409i | ||||
\(56\) | 1.19897 | + | 11.4872i | 0.160219 | + | 1.53504i | ||||
\(57\) | 5.28095 | − | 6.74968i | 0.699479 | − | 0.894017i | ||||
\(58\) | −2.29887 | − | 2.14476i | −0.301856 | − | 0.281621i | ||||
\(59\) | 4.24336 | + | 4.24336i | 0.552438 | + | 0.552438i | 0.927144 | − | 0.374706i | \(-0.122256\pi\) |
−0.374706 | + | 0.927144i | \(0.622256\pi\) | |||||||
\(60\) | 6.63782 | − | 3.99241i | 0.856939 | − | 0.515418i | ||||
\(61\) | −0.129772 | + | 0.129772i | −0.0166156 | + | 0.0166156i | −0.715366 | − | 0.698750i | \(-0.753740\pi\) |
0.698750 | + | 0.715366i | \(0.253740\pi\) | |||||||
\(62\) | −0.00525339 | − | 0.151482i | −0.000667182 | − | 0.0192383i | ||||
\(63\) | 2.94715 | + | 11.8904i | 0.371305 | + | 1.49805i | ||||
\(64\) | 7.82757 | − | 1.65200i | 0.978447 | − | 0.206500i | ||||
\(65\) | 0.876552 | − | 1.88773i | 0.108723 | − | 0.234144i | ||||
\(66\) | −7.61271 | + | 10.4575i | −0.937060 | + | 1.28723i | ||||
\(67\) | −10.8687 | + | 10.8687i | −1.32782 | + | 1.32782i | −0.420553 | + | 0.907268i | \(0.638164\pi\) |
−0.907268 | + | 0.420553i | \(0.861836\pi\) | |||||||
\(68\) | 4.74358 | − | 0.329411i | 0.575244 | − | 0.0399469i | ||||
\(69\) | 0.973304 | + | 7.97250i | 0.117172 | + | 0.959776i | ||||
\(70\) | 11.9659 | − | 4.85369i | 1.43020 | − | 0.580128i | ||||
\(71\) | − | 0.137907i | − | 0.0163665i | −0.999967 | − | 0.00818327i | \(-0.997395\pi\) | ||
0.999967 | − | 0.00818327i | \(-0.00260484\pi\) | |||||||
\(72\) | 7.97965 | − | 2.88535i | 0.940410 | − | 0.340042i | ||||
\(73\) | 7.69107 | 0.900171 | 0.450086 | − | 0.892985i | \(-0.351393\pi\) | ||||
0.450086 | + | 0.892985i | \(0.351393\pi\) | |||||||
\(74\) | −1.08995 | + | 1.16826i | −0.126704 | + | 0.135807i | ||||
\(75\) | −6.34869 | − | 5.89017i | −0.733084 | − | 0.680138i | ||||
\(76\) | −7.46540 | − | 6.49588i | −0.856340 | − | 0.745129i | ||||
\(77\) | −15.2474 | + | 15.2474i | −1.73760 | + | 1.73760i | ||||
\(78\) | 1.34185 | − | 1.84328i | 0.151934 | − | 0.208710i | ||||
\(79\) | − | 9.66245i | − | 1.08711i | −0.839373 | − | 0.543555i | \(-0.817078\pi\) | ||
0.839373 | − | 0.543555i | \(-0.182922\pi\) | |||||||
\(80\) | −4.20424 | − | 7.89458i | −0.470049 | − | 0.882640i | ||||
\(81\) | 7.95819 | − | 4.20325i | 0.884243 | − | 0.467027i | ||||
\(82\) | −11.8078 | + | 0.409492i | −1.30395 | + | 0.0452209i | ||||
\(83\) | −6.95219 | − | 6.95219i | −0.763101 | − | 0.763101i | 0.213780 | − | 0.976882i | \(-0.431422\pi\) |
−0.976882 | + | 0.213780i | \(0.931422\pi\) | |||||||
\(84\) | 13.8886 | − | 2.68277i | 1.51537 | − | 0.292714i | ||||
\(85\) | −1.82634 | − | 4.99271i | −0.198094 | − | 0.541535i | ||||
\(86\) | −1.08525 | − | 1.01250i | −0.117025 | − | 0.109181i | ||||
\(87\) | −2.37277 | + | 3.03268i | −0.254388 | + | 0.325138i | ||||
\(88\) | 11.6006 | + | 9.40789i | 1.23663 | + | 1.00288i | ||||
\(89\) | −6.69332 | −0.709491 | −0.354745 | − | 0.934963i | \(-0.615432\pi\) | ||||
−0.354745 | + | 0.934963i | \(0.615432\pi\) | |||||||
\(90\) | −5.57616 | − | 7.67505i | −0.587779 | − | 0.809022i | ||||
\(91\) | 2.68757 | − | 2.68757i | 0.281733 | − | 0.281733i | ||||
\(92\) | 9.25192 | − | 0.642485i | 0.964579 | − | 0.0669837i | ||||
\(93\) | −0.184271 | + | 0.0224962i | −0.0191080 | + | 0.00233275i | ||||
\(94\) | 0.0972501 | + | 2.80422i | 0.0100306 | + | 0.289233i | ||||
\(95\) | −4.65962 | + | 10.0349i | −0.478067 | + | 1.02956i | ||||
\(96\) | −2.84689 | − | 9.37524i | −0.290560 | − | 0.956857i | ||||
\(97\) | − | 0.584506i | − | 0.0593476i | −0.999560 | − | 0.0296738i | \(-0.990553\pi\) | ||
0.999560 | − | 0.0296738i | \(-0.00944685\pi\) | |||||||
\(98\) | 13.6731 | − | 0.474181i | 1.38119 | − | 0.0478995i | ||||
\(99\) | 13.5679 | + | 8.17800i | 1.36363 | + | 0.821920i | ||||
\(100\) | −7.17426 | + | 6.96634i | −0.717426 | + | 0.696634i | ||||
\(101\) | −5.52152 | + | 5.52152i | −0.549412 | + | 0.549412i | −0.926271 | − | 0.376859i | \(-0.877004\pi\) |
0.376859 | + | 0.926271i | \(0.377004\pi\) | |||||||
\(102\) | −0.905661 | − | 5.75282i | −0.0896738 | − | 0.569614i | ||||
\(103\) | − | 14.1043i | − | 1.38974i | −0.719136 | − | 0.694869i | \(-0.755462\pi\) | ||
0.719136 | − | 0.694869i | \(-0.244538\pi\) | |||||||
\(104\) | −2.04478 | − | 1.65827i | −0.200507 | − | 0.162607i | ||||
\(105\) | −7.19285 | − | 14.0846i | −0.701950 | − | 1.37451i | ||||
\(106\) | 3.38010 | + | 3.15351i | 0.328304 | + | 0.306296i | ||||
\(107\) | 10.4095 | − | 10.4095i | 1.00632 | − | 1.00632i | 0.00634270 | − | 0.999980i | \(-0.497981\pi\) |
0.999980 | − | 0.00634270i | \(-0.00201896\pi\) | |||||||
\(108\) | −4.36789 | − | 9.42982i | −0.420301 | − | 0.907385i | ||||
\(109\) | 10.7908 | − | 10.7908i | 1.03357 | − | 1.03357i | 0.0341516 | − | 0.999417i | \(-0.489127\pi\) |
0.999417 | − | 0.0341516i | \(-0.0108729\pi\) | |||||||
\(110\) | 6.50364 | − | 15.3804i | 0.620098 | − | 1.46646i | ||||
\(111\) | 1.54118 | + | 1.20582i | 0.146282 | + | 0.114451i | ||||
\(112\) | −2.25763 | − | 16.1768i | −0.213326 | − | 1.52856i | ||||
\(113\) | 1.84969 | 0.174004 | 0.0870019 | − | 0.996208i | \(-0.472271\pi\) | ||||
0.0870019 | + | 0.996208i | \(0.472271\pi\) | |||||||
\(114\) | −7.13306 | + | 9.79860i | −0.668072 | + | 0.917723i | ||||
\(115\) | −3.56210 | − | 9.73781i | −0.332168 | − | 0.908055i | ||||
\(116\) | 3.35426 | + | 2.91865i | 0.311436 | + | 0.270990i | ||||
\(117\) | −2.39154 | − | 1.44149i | −0.221098 | − | 0.133266i | ||||
\(118\) | −6.20539 | − | 5.78942i | −0.571253 | − | 0.532959i | ||||
\(119\) | − | 9.70829i | − | 0.889958i | ||||||
\(120\) | −9.18597 | + | 5.96808i | −0.838560 | + | 0.544809i | ||||
\(121\) | 16.8854i | 1.53504i | ||||||||
\(122\) | 0.177055 | − | 0.189776i | 0.0160298 | − | 0.0171815i | ||||
\(123\) | 1.75354 | + | 14.3635i | 0.158111 | + | 1.29512i | ||||
\(124\) | 0.0148499 | + | 0.213842i | 0.00133356 | + | 0.0192036i | ||||
\(125\) | 9.70944 | + | 5.54317i | 0.868439 | + | 0.495796i | ||||
\(126\) | −4.74820 | − | 16.6610i | −0.423003 | − | 1.48428i | ||||
\(127\) | 6.44438 | 0.571846 | 0.285923 | − | 0.958253i | \(-0.407700\pi\) | ||||
0.285923 | + | 0.958253i | \(0.407700\pi\) | |||||||
\(128\) | −10.9822 | + | 2.71855i | −0.970702 | + | 0.240288i | ||||
\(129\) | −1.12014 | + | 1.43167i | −0.0986226 | + | 0.126051i | ||||
\(130\) | −1.14636 | + | 2.71101i | −0.100542 | + | 0.237772i | ||||
\(131\) | 4.98942 | − | 4.98942i | 0.435928 | − | 0.435928i | −0.454711 | − | 0.890639i | \(-0.650257\pi\) |
0.890639 | + | 0.454711i | \(0.150257\pi\) | |||||||
\(132\) | 10.2470 | − | 15.1534i | 0.891883 | − | 1.31893i | ||||
\(133\) | −14.2867 | + | 14.2867i | −1.23881 | + | 1.23881i | ||||
\(134\) | 14.8287 | − | 15.8941i | 1.28100 | − | 1.37304i | ||||
\(135\) | −8.77243 | + | 7.61869i | −0.755011 | + | 0.655713i | ||||
\(136\) | −6.68827 | + | 0.698086i | −0.573514 | + | 0.0598604i | ||||
\(137\) | 16.1748i | 1.38191i | 0.722898 | + | 0.690955i | \(0.242810\pi\) | ||||
−0.722898 | + | 0.690955i | \(0.757190\pi\) | |||||||
\(138\) | −1.76641 | − | 11.2203i | −0.150367 | − | 0.955139i | ||||
\(139\) | −12.8546 | + | 12.8546i | −1.09031 | + | 1.09031i | −0.0948192 | + | 0.995495i | \(0.530227\pi\) |
−0.995495 | + | 0.0948192i | \(0.969773\pi\) | |||||||
\(140\) | −16.6743 | + | 7.44655i | −1.40923 | + | 0.629348i | ||||
\(141\) | 3.41119 | − | 0.416447i | 0.287274 | − | 0.0350712i | ||||
\(142\) | 0.00675956 | + | 0.194913i | 0.000567249 | + | 0.0163567i | ||||
\(143\) | − | 4.91520i | − | 0.411030i | ||||||
\(144\) | −11.1367 | + | 4.46917i | −0.928060 | + | 0.372431i | ||||
\(145\) | 2.09360 | − | 4.50875i | 0.173864 | − | 0.374432i | ||||
\(146\) | −10.8703 | + | 0.376980i | −0.899630 | + | 0.0311991i | ||||
\(147\) | −2.03055 | − | 16.6326i | −0.167477 | − | 1.37183i | ||||
\(148\) | 1.48323 | − | 1.70460i | 0.121921 | − | 0.140117i | ||||
\(149\) | 5.90204 | − | 5.90204i | 0.483514 | − | 0.483514i | −0.422738 | − | 0.906252i | \(-0.638931\pi\) |
0.906252 | + | 0.422738i | \(0.138931\pi\) | |||||||
\(150\) | 9.26172 | + | 8.01377i | 0.756216 | + | 0.654322i | ||||
\(151\) | 20.1902 | 1.64305 | 0.821527 | − | 0.570169i | \(-0.193122\pi\) | ||||
0.821527 | + | 0.570169i | \(0.193122\pi\) | |||||||
\(152\) | 10.8697 | + | 8.81513i | 0.881651 | + | 0.715001i | ||||
\(153\) | −6.92303 | + | 1.71594i | −0.559694 | + | 0.138725i | ||||
\(154\) | 20.8027 | − | 22.2974i | 1.67633 | − | 1.79678i | ||||
\(155\) | 0.225073 | − | 0.0823318i | 0.0180783 | − | 0.00661305i | ||||
\(156\) | −1.80617 | + | 2.67100i | −0.144609 | + | 0.213851i | ||||
\(157\) | 14.2660 | + | 14.2660i | 1.13855 | + | 1.13855i | 0.988710 | + | 0.149843i | \(0.0478767\pi\) |
0.149843 | + | 0.988710i | \(0.452123\pi\) | |||||||
\(158\) | 0.473609 | + | 13.6566i | 0.0376783 | + | 1.08646i | ||||
\(159\) | 3.48876 | − | 4.45905i | 0.276677 | − | 0.353626i | ||||
\(160\) | 6.32908 | + | 10.9518i | 0.500358 | + | 0.865819i | ||||
\(161\) | − | 18.9351i | − | 1.49230i | ||||||
\(162\) | −11.0418 | + | 6.33079i | −0.867525 | + | 0.497394i | ||||
\(163\) | −5.06752 | + | 5.06752i | −0.396919 | + | 0.396919i | −0.877145 | − | 0.480226i | \(-0.840555\pi\) |
0.480226 | + | 0.877145i | \(0.340555\pi\) | |||||||
\(164\) | 16.6686 | − | 1.15752i | 1.30160 | − | 0.0903874i | ||||
\(165\) | −19.4568 | − | 6.30201i | −1.51471 | − | 0.490611i | ||||
\(166\) | 10.1667 | + | 9.48520i | 0.789091 | + | 0.736195i | ||||
\(167\) | 8.86797 | 0.686224 | 0.343112 | − | 0.939295i | \(-0.388519\pi\) | ||||
0.343112 | + | 0.939295i | \(0.388519\pi\) | |||||||
\(168\) | −19.4981 | + | 4.47248i | −1.50431 | + | 0.345059i | ||||
\(169\) | − | 12.1336i | − | 0.933356i | ||||||
\(170\) | 2.82600 | + | 6.96699i | 0.216744 | + | 0.534344i | ||||
\(171\) | 12.7131 | + | 7.66273i | 0.972193 | + | 0.585984i | ||||
\(172\) | 1.58348 | + | 1.37784i | 0.120739 | + | 0.105059i | ||||
\(173\) | 2.26621 | − | 2.26621i | 0.172297 | − | 0.172297i | −0.615691 | − | 0.787988i | \(-0.711123\pi\) |
0.787988 | + | 0.615691i | \(0.211123\pi\) | |||||||
\(174\) | 3.20494 | − | 4.40259i | 0.242966 | − | 0.333759i | ||||
\(175\) | 13.1743 | + | 15.5978i | 0.995881 | + | 1.17908i | ||||
\(176\) | −16.8571 | − | 12.7282i | −1.27065 | − | 0.959421i | ||||
\(177\) | −6.40488 | + | 8.18620i | −0.481420 | + | 0.615312i | ||||
\(178\) | 9.46010 | − | 0.328076i | 0.709065 | − | 0.0245903i | ||||
\(179\) | −1.87635 | + | 1.87635i | −0.140245 | + | 0.140245i | −0.773744 | − | 0.633499i | \(-0.781618\pi\) |
0.633499 | + | 0.773744i | \(0.281618\pi\) | |||||||
\(180\) | 8.25734 | + | 10.5743i | 0.615466 | + | 0.788164i | ||||
\(181\) | −1.67944 | − | 1.67944i | −0.124832 | − | 0.124832i | 0.641931 | − | 0.766763i | \(-0.278134\pi\) |
−0.766763 | + | 0.641931i | \(0.778134\pi\) | |||||||
\(182\) | −3.66678 | + | 3.93024i | −0.271800 | + | 0.291329i | ||||
\(183\) | −0.250354 | − | 0.195877i | −0.0185067 | − | 0.0144797i | ||||
\(184\) | −13.0448 | + | 1.36155i | −0.961678 | + | 0.100375i | ||||
\(185\) | −2.29130 | − | 1.06395i | −0.168460 | − | 0.0782229i | ||||
\(186\) | 0.259339 | − | 0.0408274i | 0.0190156 | − | 0.00299361i | ||||
\(187\) | −8.87759 | − | 8.87759i | −0.649193 | − | 0.649193i | ||||
\(188\) | −0.274899 | − | 3.95861i | −0.0200491 | − | 0.288711i | ||||
\(189\) | −19.8244 | + | 7.56272i | −1.44201 | + | 0.550107i | ||||
\(190\) | 6.09387 | − | 14.4113i | 0.442096 | − | 1.04551i | ||||
\(191\) | 14.8761 | 1.07640 | 0.538200 | − | 0.842817i | \(-0.319105\pi\) | ||||
0.538200 | + | 0.842817i | \(0.319105\pi\) | |||||||
\(192\) | 4.48323 | + | 13.1111i | 0.323549 | + | 0.946211i | ||||
\(193\) | − | 5.60930i | − | 0.403766i | −0.979410 | − | 0.201883i | \(-0.935294\pi\) | ||
0.979410 | − | 0.201883i | \(-0.0647061\pi\) | |||||||
\(194\) | 0.0286498 | + | 0.826120i | 0.00205693 | + | 0.0593119i | ||||
\(195\) | 3.42953 | + | 1.11082i | 0.245594 | + | 0.0795474i | ||||
\(196\) | −19.3018 | + | 1.34038i | −1.37870 | + | 0.0957415i | ||||
\(197\) | 9.31889 | + | 9.31889i | 0.663944 | + | 0.663944i | 0.956307 | − | 0.292364i | \(-0.0944417\pi\) |
−0.292364 | + | 0.956307i | \(0.594442\pi\) | |||||||
\(198\) | −19.5773 | − | 10.8935i | −1.39130 | − | 0.774164i | ||||
\(199\) | 9.51884 | 0.674773 | 0.337386 | − | 0.941366i | \(-0.390457\pi\) | ||||
0.337386 | + | 0.941366i | \(0.390457\pi\) | |||||||
\(200\) | 9.79839 | − | 10.1976i | 0.692850 | − | 0.721081i | ||||
\(201\) | −20.9677 | − | 16.4051i | −1.47894 | − | 1.15713i | ||||
\(202\) | 7.53328 | − | 8.07456i | 0.530040 | − | 0.568124i | ||||
\(203\) | 6.41912 | − | 6.41912i | 0.450534 | − | 0.450534i | ||||
\(204\) | 1.56201 | + | 8.08644i | 0.109362 | + | 0.566164i | ||||
\(205\) | −6.41761 | − | 17.5440i | −0.448225 | − | 1.22532i | ||||
\(206\) | 0.691328 | + | 19.9345i | 0.0481671 | + | 1.38890i | ||||
\(207\) | −13.5027 | + | 3.34678i | −0.938504 | + | 0.232617i | ||||
\(208\) | 2.97130 | + | 2.24352i | 0.206022 | + | 0.155560i | ||||
\(209\) | 26.1284i | 1.80734i | ||||||||
\(210\) | 10.8565 | + | 19.5540i | 0.749168 | + | 1.34936i | ||||
\(211\) | 6.17042 | + | 6.17042i | 0.424789 | + | 0.424789i | 0.886849 | − | 0.462060i | \(-0.152889\pi\) |
−0.462060 | + | 0.886849i | \(0.652889\pi\) | |||||||
\(212\) | −4.93188 | − | 4.29139i | −0.338723 | − | 0.294734i | ||||
\(213\) | 0.237101 | − | 0.0289460i | 0.0162459 | − | 0.00198334i | ||||
\(214\) | −14.2022 | + | 15.2226i | −0.970840 | + | 1.04060i | ||||
\(215\) | 0.988347 | − | 2.12849i | 0.0674047 | − | 0.145162i | ||||
\(216\) | 6.63563 | + | 13.1137i | 0.451497 | + | 0.892273i | ||||
\(217\) | 0.437652 | 0.0297098 | ||||||||
\(218\) | −14.7224 | + | 15.7802i | −0.997125 | + | 1.06877i | ||||
\(219\) | 1.61432 | + | 13.2231i | 0.109085 | + | 0.893537i | ||||
\(220\) | −8.43814 | + | 22.0569i | −0.568899 | + | 1.48707i | ||||
\(221\) | 1.56480 | + | 1.56480i | 0.105260 | + | 0.105260i | ||||
\(222\) | −2.23735 | − | 1.62872i | −0.150161 | − | 0.109312i | ||||
\(223\) | 2.88059 | 0.192898 | 0.0964492 | − | 0.995338i | \(-0.469251\pi\) | ||||
0.0964492 | + | 0.995338i | \(0.469251\pi\) | |||||||
\(224\) | 3.98377 | + | 22.7531i | 0.266177 | + | 1.52025i | ||||
\(225\) | 8.79433 | − | 12.1515i | 0.586289 | − | 0.810102i | ||||
\(226\) | −2.61428 | + | 0.0906631i | −0.173899 | + | 0.00603082i | ||||
\(227\) | 1.95092 | + | 1.95092i | 0.129487 | + | 0.129487i | 0.768880 | − | 0.639393i | \(-0.220814\pi\) |
−0.639393 | + | 0.768880i | \(0.720814\pi\) | |||||||
\(228\) | 9.60133 | − | 14.1986i | 0.635864 | − | 0.940326i | ||||
\(229\) | 0.0765008 | + | 0.0765008i | 0.00505532 | + | 0.00505532i | 0.709630 | − | 0.704575i | \(-0.248862\pi\) |
−0.704575 | + | 0.709630i | \(0.748862\pi\) | |||||||
\(230\) | 5.51185 | + | 13.5885i | 0.363441 | + | 0.895997i | ||||
\(231\) | −29.4149 | − | 23.0143i | −1.93536 | − | 1.51423i | ||||
\(232\) | −4.88385 | − | 3.96071i | −0.320641 | − | 0.260033i | ||||
\(233\) | − | 12.3612i | − | 0.809808i | −0.914359 | − | 0.404904i | \(-0.867305\pi\) | ||
0.914359 | − | 0.404904i | \(-0.132695\pi\) | |||||||
\(234\) | 3.45077 | + | 1.92013i | 0.225584 | + | 0.125523i | ||||
\(235\) | −4.16651 | + | 1.52411i | −0.271793 | + | 0.0994223i | ||||
\(236\) | 9.05425 | + | 7.87839i | 0.589382 | + | 0.512840i | ||||
\(237\) | 16.6125 | − | 2.02810i | 1.07910 | − | 0.131739i | ||||
\(238\) | 0.475856 | + | 13.7214i | 0.0308451 | + | 0.889423i | ||||
\(239\) | −19.0058 | −1.22938 | −0.614692 | − | 0.788767i | \(-0.710720\pi\) | ||||
−0.614692 | + | 0.788767i | \(0.710720\pi\) | |||||||
\(240\) | 12.6906 | − | 8.88533i | 0.819174 | − | 0.573545i | ||||
\(241\) | −11.4896 | −0.740108 | −0.370054 | − | 0.929010i | \(-0.620661\pi\) | ||||
−0.370054 | + | 0.929010i | \(0.620661\pi\) | |||||||
\(242\) | −0.827645 | − | 23.8652i | −0.0532030 | − | 1.53412i | ||||
\(243\) | 8.89696 | + | 12.8002i | 0.570740 | + | 0.821130i | ||||
\(244\) | −0.240941 | + | 0.276901i | −0.0154246 | + | 0.0177268i | ||||
\(245\) | 7.43142 | + | 20.3155i | 0.474776 | + | 1.29791i | ||||
\(246\) | −3.18242 | − | 20.2150i | −0.202904 | − | 1.28886i | ||||
\(247\) | − | 4.60551i | − | 0.293041i | ||||||
\(248\) | −0.0314699 | − | 0.301509i | −0.00199834 | − | 0.0191458i | ||||
\(249\) | 10.4936 | − | 13.4120i | 0.665003 | − | 0.849952i | ||||
\(250\) | −13.9947 | − | 7.35860i | −0.885101 | − | 0.465399i | ||||
\(251\) | −14.1571 | − | 14.1571i | −0.893589 | − | 0.893589i | 0.101270 | − | 0.994859i | \(-0.467709\pi\) |
−0.994859 | + | 0.101270i | \(0.967709\pi\) | |||||||
\(252\) | 7.52758 | + | 23.3153i | 0.474193 | + | 1.46873i | ||||
\(253\) | −17.3149 | − | 17.3149i | −1.08858 | − | 1.08858i | ||||
\(254\) | −9.10825 | + | 0.315874i | −0.571502 | + | 0.0198197i | ||||
\(255\) | 8.20055 | − | 4.18794i | 0.513538 | − | 0.262259i | ||||
\(256\) | 15.3886 | − | 4.38059i | 0.961790 | − | 0.273787i | ||||
\(257\) | −1.89934 | −0.118478 | −0.0592388 | − | 0.998244i | \(-0.518867\pi\) | ||||
−0.0592388 | + | 0.998244i | \(0.518867\pi\) | |||||||
\(258\) | 1.51299 | − | 2.07837i | 0.0941945 | − | 0.129394i | ||||
\(259\) | −3.26213 | − | 3.26213i | −0.202699 | − | 0.202699i | ||||
\(260\) | 1.48734 | − | 3.88784i | 0.0922410 | − | 0.241113i | ||||
\(261\) | −5.71208 | − | 3.44293i | −0.353569 | − | 0.213112i | ||||
\(262\) | −6.80731 | + | 7.29643i | −0.420557 | + | 0.450775i | ||||
\(263\) | −14.3225 | −0.883164 | −0.441582 | − | 0.897221i | \(-0.645583\pi\) | ||||
−0.441582 | + | 0.897221i | \(0.645583\pi\) | |||||||
\(264\) | −13.7399 | + | 21.9195i | −0.845634 | + | 1.34905i | ||||
\(265\) | −3.07829 | + | 6.62936i | −0.189098 | + | 0.407239i | ||||
\(266\) | 19.4920 | − | 20.8926i | 1.19513 | − | 1.28100i | ||||
\(267\) | −1.40489 | − | 11.5077i | −0.0859782 | − | 0.704262i | ||||
\(268\) | −20.1793 | + | 23.1910i | −1.23264 | + | 1.41662i | ||||
\(269\) | −8.45418 | − | 8.45418i | −0.515460 | − | 0.515460i | 0.400734 | − | 0.916194i | \(-0.368755\pi\) |
−0.916194 | + | 0.400734i | \(0.868755\pi\) | |||||||
\(270\) | 12.0252 | − | 11.1980i | 0.731830 | − | 0.681487i | ||||
\(271\) | 27.3338i | 1.66041i | 0.557457 | + | 0.830206i | \(0.311777\pi\) | ||||
−0.557457 | + | 0.830206i | \(0.688223\pi\) | |||||||
\(272\) | 9.41874 | − | 1.31448i | 0.571095 | − | 0.0797019i | ||||
\(273\) | 5.18480 | + | 4.05659i | 0.313798 | + | 0.245516i | ||||
\(274\) | −0.792816 | − | 22.8609i | −0.0478958 | − | 1.38108i | ||||
\(275\) | 26.3101 | + | 2.21618i | 1.58656 | + | 0.133641i | ||||
\(276\) | 3.04655 | + | 15.7718i | 0.183381 | + | 0.949353i | ||||
\(277\) | 9.07408 | − | 9.07408i | 0.545209 | − | 0.545209i | −0.379843 | − | 0.925051i | \(-0.624022\pi\) |
0.925051 | + | 0.379843i | \(0.124022\pi\) | |||||||
\(278\) | 17.5382 | − | 18.7983i | 1.05187 | − | 1.12745i | ||||
\(279\) | −0.0773549 | − | 0.312092i | −0.00463112 | − | 0.0186845i | ||||
\(280\) | 23.2018 | − | 11.3420i | 1.38657 | − | 0.677813i | ||||
\(281\) | 5.07486 | 0.302741 | 0.151370 | − | 0.988477i | \(-0.451631\pi\) | ||||
0.151370 | + | 0.988477i | \(0.451631\pi\) | |||||||
\(282\) | −4.80084 | + | 0.755792i | −0.285886 | + | 0.0450067i | ||||
\(283\) | 16.1709 | + | 16.1709i | 0.961262 | + | 0.961262i | 0.999277 | − | 0.0380152i | \(-0.0121035\pi\) |
−0.0380152 | + | 0.999277i | \(0.512104\pi\) | |||||||
\(284\) | −0.0191074 | − | 0.275151i | −0.00113382 | − | 0.0163272i | ||||
\(285\) | −18.2309 | − | 5.90494i | −1.07990 | − | 0.349779i | ||||
\(286\) | 0.240920 | + | 6.94696i | 0.0142459 | + | 0.410783i | ||||
\(287\) | − | 34.1142i | − | 2.01370i | ||||||
\(288\) | 15.5212 | − | 6.86244i | 0.914594 | − | 0.404373i | ||||
\(289\) | −11.3475 | −0.667498 | ||||||||
\(290\) | −2.73802 | + | 6.47513i | −0.160782 | + | 0.380233i | ||||
\(291\) | 1.00493 | − | 0.122685i | 0.0589102 | − | 0.00719191i | ||||
\(292\) | 15.3452 | − | 1.06562i | 0.898008 | − | 0.0623608i | ||||
\(293\) | −11.3911 | − | 11.3911i | −0.665473 | − | 0.665473i | 0.291192 | − | 0.956665i | \(-0.405948\pi\) |
−0.956665 | + | 0.291192i | \(0.905948\pi\) | |||||||
\(294\) | 3.68516 | + | 23.4084i | 0.214923 | + | 1.36520i | ||||
\(295\) | 5.65131 | − | 12.1706i | 0.329032 | − | 0.708599i | ||||
\(296\) | −2.01279 | + | 2.48192i | −0.116991 | + | 0.144259i | ||||
\(297\) | −11.2125 | + | 25.0437i | −0.650614 | + | 1.45318i | ||||
\(298\) | −8.05243 | + | 8.63101i | −0.466465 | + | 0.499981i | ||||
\(299\) | 3.05200 | + | 3.05200i | 0.176502 | + | 0.176502i | ||||
\(300\) | −13.4830 | − | 10.8724i | −0.778440 | − | 0.627719i | ||||
\(301\) | 3.03034 | − | 3.03034i | 0.174666 | − | 0.174666i | ||||
\(302\) | −28.5361 | + | 0.989630i | −1.64207 | + | 0.0569468i | ||||
\(303\) | −10.6520 | − | 8.33414i | −0.611942 | − | 0.478784i | ||||
\(304\) | −15.7950 | − | 11.9262i | −0.905903 | − | 0.684014i | ||||
\(305\) | 0.372207 | + | 0.172831i | 0.0213125 | + | 0.00989628i | ||||
\(306\) | 9.70065 | − | 2.76458i | 0.554549 | − | 0.158040i | ||||
\(307\) | 17.3451 | − | 17.3451i | 0.989935 | − | 0.989935i | −0.0100151 | − | 0.999950i | \(-0.503188\pi\) |
0.999950 | + | 0.0100151i | \(0.00318795\pi\) | |||||||
\(308\) | −28.3089 | + | 32.5341i | −1.61305 | + | 1.85380i | ||||
\(309\) | 24.2493 | − | 2.96042i | 1.37950 | − | 0.168413i | ||||
\(310\) | −0.314074 | + | 0.127397i | −0.0178382 | + | 0.00723565i | ||||
\(311\) | 24.7223i | 1.40188i | 0.713223 | + | 0.700938i | \(0.247235\pi\) | ||||
−0.713223 | + | 0.700938i | \(0.752765\pi\) | |||||||
\(312\) | 2.42186 | − | 3.86362i | 0.137111 | − | 0.218734i | ||||
\(313\) | 10.4396 | 0.590079 | 0.295039 | − | 0.955485i | \(-0.404667\pi\) | ||||
0.295039 | + | 0.955485i | \(0.404667\pi\) | |||||||
\(314\) | −20.8623 | − | 19.4638i | −1.17733 | − | 1.09841i | ||||
\(315\) | 22.7056 | − | 15.3228i | 1.27932 | − | 0.863344i | ||||
\(316\) | −1.33876 | − | 19.2785i | −0.0753113 | − | 1.08450i | ||||
\(317\) | −2.57617 | + | 2.57617i | −0.144692 | + | 0.144692i | −0.775742 | − | 0.631050i | \(-0.782624\pi\) |
0.631050 | + | 0.775742i | \(0.282624\pi\) | |||||||
\(318\) | −4.71233 | + | 6.47327i | −0.264254 | + | 0.363003i | ||||
\(319\) | − | 11.7397i | − | 0.657298i | ||||||
\(320\) | −9.48210 | − | 15.1687i | −0.530066 | − | 0.847957i | ||||
\(321\) | 20.0818 | + | 15.7120i | 1.12086 | + | 0.876957i | ||||
\(322\) | 0.928112 | + | 26.7622i | 0.0517217 | + | 1.49140i | ||||
\(323\) | −8.31824 | − | 8.31824i | −0.462839 | − | 0.462839i | ||||
\(324\) | 15.2958 | − | 9.48893i | 0.849764 | − | 0.527163i | ||||
\(325\) | −4.63754 | − | 0.390634i | −0.257244 | − | 0.0216685i | ||||
\(326\) | 6.91386 | − | 7.41063i | 0.382923 | − | 0.410437i | ||||
\(327\) | 20.8173 | + | 16.2875i | 1.15120 | + | 0.900700i | ||||
\(328\) | −23.5020 | + | 2.45302i | −1.29768 | + | 0.135445i | ||||
\(329\) | −8.10176 | −0.446664 | ||||||||
\(330\) | 27.8084 | + | 7.95335i | 1.53080 | + | 0.437818i | ||||
\(331\) | 12.3750 | − | 12.3750i | 0.680193 | − | 0.680193i | −0.279850 | − | 0.960044i | \(-0.590285\pi\) |
0.960044 | + | 0.279850i | \(0.0902848\pi\) | |||||||
\(332\) | −14.8342 | − | 12.9077i | −0.814133 | − | 0.708403i | ||||
\(333\) | −1.74966 | + | 2.90282i | −0.0958807 | + | 0.159073i | ||||
\(334\) | −12.5337 | + | 0.434667i | −0.685812 | + | 0.0237839i | ||||
\(335\) | 31.1730 | + | 14.4749i | 1.70317 | + | 0.790851i | ||||
\(336\) | 27.3387 | − | 7.27695i | 1.49145 | − | 0.396990i | ||||
\(337\) | 9.83951i | 0.535992i | 0.963420 | + | 0.267996i | \(0.0863614\pi\) | ||||
−0.963420 | + | 0.267996i | \(0.913639\pi\) | |||||||
\(338\) | 0.594734 | + | 17.1492i | 0.0323493 | + | 0.932795i | ||||
\(339\) | 0.388240 | + | 3.18014i | 0.0210863 | + | 0.172721i | ||||
\(340\) | −4.33566 | − | 9.70838i | −0.235134 | − | 0.526511i | ||||
\(341\) | 0.400204 | − | 0.400204i | 0.0216723 | − | 0.0216723i | ||||
\(342\) | −18.3438 | − | 10.2071i | −0.991918 | − | 0.551937i | ||||
\(343\) | 10.9195i | 0.589599i | ||||||||
\(344\) | −2.30557 | − | 1.86977i | −0.124308 | − | 0.100811i | ||||
\(345\) | 15.9944 | − | 8.16819i | 0.861110 | − | 0.439761i | ||||
\(346\) | −3.09190 | + | 3.31406i | −0.166222 | + | 0.178165i | ||||
\(347\) | −9.16621 | + | 9.16621i | −0.492068 | + | 0.492068i | −0.908957 | − | 0.416889i | \(-0.863120\pi\) |
0.416889 | + | 0.908957i | \(0.363120\pi\) | |||||||
\(348\) | −4.31395 | + | 6.37955i | −0.231252 | + | 0.341980i | ||||
\(349\) | 13.3149 | − | 13.3149i | 0.712732 | − | 0.712732i | −0.254374 | − | 0.967106i | \(-0.581869\pi\) |
0.967106 | + | 0.254374i | \(0.0818694\pi\) | |||||||
\(350\) | −19.3846 | − | 21.3997i | −1.03615 | − | 1.14386i | ||||
\(351\) | 1.97636 | − | 4.41430i | 0.105490 | − | 0.235618i | ||||
\(352\) | 24.4490 | + | 17.1633i | 1.30314 | + | 0.914805i | ||||
\(353\) | −23.3939 | −1.24513 | −0.622566 | − | 0.782567i | \(-0.713910\pi\) | ||||
−0.622566 | + | 0.782567i | \(0.713910\pi\) | |||||||
\(354\) | 8.65118 | − | 11.8840i | 0.459805 | − | 0.631628i | ||||
\(355\) | −0.289601 | + | 0.105937i | −0.0153704 | + | 0.00562253i | ||||
\(356\) | −13.3545 | + | 0.927381i | −0.707786 | + | 0.0491511i | ||||
\(357\) | 16.6913 | − | 2.03772i | 0.883399 | − | 0.107848i | ||||
\(358\) | 2.56000 | − | 2.74394i | 0.135300 | − | 0.145022i | ||||
\(359\) | 10.2744i | 0.542262i | 0.962542 | + | 0.271131i | \(0.0873977\pi\) | ||||
−0.962542 | + | 0.271131i | \(0.912602\pi\) | |||||||
\(360\) | −12.1889 | − | 14.5406i | −0.642413 | − | 0.766359i | ||||
\(361\) | 5.48218i | 0.288536i | ||||||||
\(362\) | 2.45598 | + | 2.29135i | 0.129084 | + | 0.120430i | ||||
\(363\) | −29.0309 | + | 3.54416i | −1.52372 | + | 0.186020i | ||||
\(364\) | 4.98985 | − | 5.73459i | 0.261539 | − | 0.300574i | ||||
\(365\) | −5.90808 | − | 16.1511i | −0.309243 | − | 0.845386i | ||||
\(366\) | 0.363443 | + | 0.264574i | 0.0189974 | + | 0.0138295i | ||||
\(367\) | −33.8052 | −1.76462 | −0.882309 | − | 0.470670i | \(-0.844012\pi\) | ||||
−0.882309 | + | 0.470670i | \(0.844012\pi\) | |||||||
\(368\) | 18.3704 | − | 2.56376i | 0.957622 | − | 0.133645i | ||||
\(369\) | −24.3270 | + | 6.02967i | −1.26641 | + | 0.313892i | ||||
\(370\) | 3.29059 | + | 1.39143i | 0.171070 | + | 0.0723372i | ||||
\(371\) | −9.43824 | + | 9.43824i | −0.490009 | + | 0.490009i | ||||
\(372\) | −0.364539 | + | 0.0704156i | −0.0189004 | + | 0.00365088i | ||||
\(373\) | 12.8667 | − | 12.8667i | 0.666212 | − | 0.666212i | −0.290625 | − | 0.956837i | \(-0.593863\pi\) |
0.956837 | + | 0.290625i | \(0.0938631\pi\) | |||||||
\(374\) | 12.9824 | + | 12.1121i | 0.671304 | + | 0.626303i | ||||
\(375\) | −7.49233 | + | 17.8568i | −0.386902 | + | 0.922121i | ||||
\(376\) | 0.582566 | + | 5.58149i | 0.0300435 | + | 0.287843i | ||||
\(377\) | 2.06929i | 0.106574i | ||||||||
\(378\) | 27.6484 | − | 11.6606i | 1.42208 | − | 0.599755i | ||||
\(379\) | −6.45281 | + | 6.45281i | −0.331459 | + | 0.331459i | −0.853140 | − | 0.521681i | \(-0.825305\pi\) |
0.521681 | + | 0.853140i | \(0.325305\pi\) | |||||||
\(380\) | −7.90648 | + | 20.6672i | −0.405594 | + | 1.06020i | ||||
\(381\) | 1.35264 | + | 11.0797i | 0.0692980 | + | 0.567632i | ||||
\(382\) | −21.0254 | + | 0.729159i | −1.07575 | + | 0.0373070i | ||||
\(383\) | − | 8.29165i | − | 0.423683i | −0.977304 | − | 0.211842i | \(-0.932054\pi\) | ||
0.977304 | − | 0.211842i | \(-0.0679461\pi\) | |||||||
\(384\) | −6.97907 | − | 18.3110i | −0.356149 | − | 0.934429i | ||||
\(385\) | 43.7318 | + | 20.3065i | 2.22878 | + | 1.03492i | ||||
\(386\) | 0.274942 | + | 7.92798i | 0.0139942 | + | 0.403523i | ||||
\(387\) | −2.69656 | − | 1.62534i | −0.137074 | − | 0.0826205i | ||||
\(388\) | −0.0809851 | − | 1.16620i | −0.00411140 | − | 0.0592050i | ||||
\(389\) | 23.7779 | − | 23.7779i | 1.20559 | − | 1.20559i | 0.233143 | − | 0.972443i | \(-0.425099\pi\) |
0.972443 | − | 0.233143i | \(-0.0749009\pi\) | |||||||
\(390\) | −4.90162 | − | 1.40189i | −0.248203 | − | 0.0709875i | ||||
\(391\) | 11.0247 | 0.557544 | ||||||||
\(392\) | 27.2147 | − | 2.84053i | 1.37455 | − | 0.143468i | ||||
\(393\) | 9.62550 | + | 7.53099i | 0.485542 | + | 0.379888i | ||||
\(394\) | −13.6278 | − | 12.7142i | −0.686556 | − | 0.640533i | ||||
\(395\) | −20.2909 | + | 7.42245i | −1.02095 | + | 0.373464i | ||||
\(396\) | 28.2038 | + | 14.4368i | 1.41729 | + | 0.725478i | ||||
\(397\) | −19.3636 | − | 19.3636i | −0.971831 | − | 0.971831i | 0.0277826 | − | 0.999614i | \(-0.491155\pi\) |
−0.999614 | + | 0.0277826i | \(0.991155\pi\) | |||||||
\(398\) | −13.4536 | + | 0.466570i | −0.674367 | + | 0.0233870i | ||||
\(399\) | −27.5616 | − | 21.5642i | −1.37981 | − | 1.07956i | ||||
\(400\) | −13.3488 | + | 14.8932i | −0.667442 | + | 0.744662i | ||||
\(401\) | 26.8842i | 1.34253i | 0.741216 | + | 0.671266i | \(0.234249\pi\) | ||||
−0.741216 | + | 0.671266i | \(0.765751\pi\) | |||||||
\(402\) | 30.4390 | + | 22.1586i | 1.51816 | + | 1.10517i | ||||
\(403\) | −0.0705416 | + | 0.0705416i | −0.00351393 | + | 0.00351393i | ||||
\(404\) | −10.2515 | + | 11.7815i | −0.510031 | + | 0.586153i | ||||
\(405\) | −14.9400 | − | 13.4832i | −0.742375 | − | 0.669985i | ||||
\(406\) | −8.75792 | + | 9.38719i | −0.434648 | + | 0.465879i | ||||
\(407\) | −5.96600 | −0.295724 | ||||||||
\(408\) | −2.60404 | − | 11.3525i | −0.128919 | − | 0.562033i | ||||
\(409\) | 28.3692i | 1.40276i | 0.712785 | + | 0.701382i | \(0.247433\pi\) | ||||
−0.712785 | + | 0.701382i | \(0.752567\pi\) | |||||||
\(410\) | 9.93035 | + | 24.4815i | 0.490425 | + | 1.20905i | ||||
\(411\) | −27.8092 | + | 3.39502i | −1.37173 | + | 0.167464i | ||||
\(412\) | −1.95420 | − | 28.1408i | −0.0962763 | − | 1.38640i | ||||
\(413\) | 17.3273 | − | 17.3273i | 0.852621 | − | 0.852621i | ||||
\(414\) | 18.9202 | − | 5.39205i | 0.929878 | − | 0.265005i | ||||
\(415\) | −9.25894 | + | 19.9399i | −0.454504 | + | 0.978813i | ||||
\(416\) | −4.30949 | − | 3.02527i | −0.211290 | − | 0.148326i | ||||
\(417\) | −24.7989 | − | 19.4026i | −1.21441 | − | 0.950151i | ||||
\(418\) | −1.28070 | − | 36.9290i | −0.0626409 | − | 1.80626i | ||||
\(419\) | 9.93798 | − | 9.93798i | 0.485502 | − | 0.485502i | −0.421381 | − | 0.906884i | \(-0.638455\pi\) |
0.906884 | + | 0.421381i | \(0.138455\pi\) | |||||||
\(420\) | −16.3026 | − | 27.1049i | −0.795485 | − | 1.32258i | ||||
\(421\) | −26.3543 | − | 26.3543i | −1.28443 | − | 1.28443i | −0.938121 | − | 0.346307i | \(-0.887436\pi\) |
−0.346307 | − | 0.938121i | \(-0.612564\pi\) | |||||||
\(422\) | −9.02349 | − | 8.41860i | −0.439257 | − | 0.409811i | ||||
\(423\) | 1.43198 | + | 5.77740i | 0.0696254 | + | 0.280907i | ||||
\(424\) | 7.18089 | + | 5.82355i | 0.348735 | + | 0.282817i | ||||
\(425\) | −9.08163 | + | 7.67054i | −0.440524 | + | 0.372076i | ||||
\(426\) | −0.333692 | + | 0.0525328i | −0.0161674 | + | 0.00254522i | ||||
\(427\) | 0.529912 | + | 0.529912i | 0.0256442 | + | 0.0256442i | ||||
\(428\) | 19.3267 | − | 22.2112i | 0.934190 | − | 1.07362i | ||||
\(429\) | 8.45063 | − | 1.03168i | 0.408000 | − | 0.0498097i | ||||
\(430\) | −1.29257 | + | 3.05678i | −0.0623330 | + | 0.147411i | ||||
\(431\) | −13.9667 | −0.672753 | −0.336377 | − | 0.941728i | \(-0.609202\pi\) | ||||
−0.336377 | + | 0.941728i | \(0.609202\pi\) | |||||||
\(432\) | −10.0213 | − | 18.2091i | −0.482151 | − | 0.876088i | ||||
\(433\) | 23.5387i | 1.13120i | 0.824680 | + | 0.565599i | \(0.191355\pi\) | ||||
−0.824680 | + | 0.565599i | \(0.808645\pi\) | |||||||
\(434\) | −0.618562 | + | 0.0214517i | −0.0296919 | + | 0.00102971i | ||||
\(435\) | 8.19127 | + | 2.65314i | 0.392741 | + | 0.127208i | ||||
\(436\) | 20.0346 | − | 23.0248i | 0.959483 | − | 1.10269i | ||||
\(437\) | −16.2239 | − | 16.2239i | −0.776097 | − | 0.776097i | ||||
\(438\) | −2.92975 | − | 18.6100i | −0.139989 | − | 0.889219i | ||||
\(439\) | 17.9084 | 0.854721 | 0.427361 | − | 0.904081i | \(-0.359444\pi\) | ||||
0.427361 | + | 0.904081i | \(0.359444\pi\) | |||||||
\(440\) | 10.8450 | − | 31.5880i | 0.517017 | − | 1.50590i | ||||
\(441\) | 28.1700 | − | 6.98219i | 1.34143 | − | 0.332485i | ||||
\(442\) | −2.28833 | − | 2.13493i | −0.108845 | − | 0.101548i | ||||
\(443\) | −8.23902 | + | 8.23902i | −0.391448 | + | 0.391448i | −0.875203 | − | 0.483755i | \(-0.839272\pi\) |
0.483755 | + | 0.875203i | \(0.339272\pi\) | |||||||
\(444\) | 3.24202 | + | 2.19230i | 0.153859 | + | 0.104042i | ||||
\(445\) | 5.14164 | + | 14.0558i | 0.243737 | + | 0.666310i | ||||
\(446\) | −4.07132 | + | 0.141193i | −0.192783 | + | 0.00668569i | ||||
\(447\) | 11.3861 | + | 8.90848i | 0.538544 | + | 0.421357i | ||||
\(448\) | −6.74576 | − | 31.9631i | −0.318707 | − | 1.51011i | ||||
\(449\) | − | 11.2483i | − | 0.530842i | −0.964133 | − | 0.265421i | \(-0.914489\pi\) | ||
0.964133 | − | 0.265421i | \(-0.0855110\pi\) | |||||||
\(450\) | −11.8340 | + | 17.6056i | −0.557859 | + | 0.829936i | ||||
\(451\) | −31.1951 | − | 31.1951i | −1.46892 | − | 1.46892i | ||||
\(452\) | 3.69048 | − | 0.256280i | 0.173586 | − | 0.0120544i | ||||
\(453\) | 4.23782 | + | 34.7127i | 0.199110 | + | 1.63095i | ||||
\(454\) | −2.85298 | − | 2.66173i | −0.133897 | − | 0.124921i | ||||
\(455\) | −7.70835 | − | 3.57931i | −0.361373 | − | 0.167801i | ||||
\(456\) | −12.8742 | + | 20.5384i | −0.602891 | + | 0.961800i | ||||
\(457\) | 27.3670 | 1.28017 | 0.640087 | − | 0.768302i | \(-0.278898\pi\) | ||||
0.640087 | + | 0.768302i | \(0.278898\pi\) | |||||||
\(458\) | −0.111873 | − | 0.104374i | −0.00522749 | − | 0.00487707i | ||||
\(459\) | −4.40329 | − | 11.5425i | −0.205528 | − | 0.538758i | ||||
\(460\) | −8.45629 | − | 18.9353i | −0.394277 | − | 0.882862i | ||||
\(461\) | −9.47250 | − | 9.47250i | −0.441178 | − | 0.441178i | 0.451230 | − | 0.892408i | \(-0.350986\pi\) |
−0.892408 | + | 0.451230i | \(0.850986\pi\) | |||||||
\(462\) | 42.7021 | + | 31.0857i | 1.98668 | + | 1.44624i | ||||
\(463\) | 2.00138 | 0.0930119 | 0.0465059 | − | 0.998918i | \(-0.485191\pi\) | ||||
0.0465059 | + | 0.998918i | \(0.485191\pi\) | |||||||
\(464\) | 7.09680 | + | 5.35854i | 0.329461 | + | 0.248764i | ||||
\(465\) | 0.188794 | + | 0.369683i | 0.00875509 | + | 0.0171436i | ||||
\(466\) | 0.605888 | + | 17.4708i | 0.0280672 | + | 0.809321i | ||||
\(467\) | 20.3367 | + | 20.3367i | 0.941071 | + | 0.941071i | 0.998358 | − | 0.0572864i | \(-0.0182448\pi\) |
−0.0572864 | + | 0.998358i | \(0.518245\pi\) | |||||||
\(468\) | −4.97131 | − | 2.54470i | −0.229799 | − | 0.117629i | ||||
\(469\) | 44.3811 | + | 44.3811i | 2.04933 | + | 2.04933i | ||||
\(470\) | 5.81409 | − | 2.35835i | 0.268184 | − | 0.108783i | ||||
\(471\) | −21.5330 | + | 27.5217i | −0.992189 | + | 1.26813i | ||||
\(472\) | −13.1831 | − | 10.6912i | −0.606802 | − | 0.492104i | ||||
\(473\) | − | 5.54208i | − | 0.254825i | ||||||
\(474\) | −23.3801 | + | 3.68071i | −1.07388 | + | 0.169061i | ||||
\(475\) | 24.6524 | + | 2.07655i | 1.13113 | + | 0.0952786i | ||||
\(476\) | −1.34511 | − | 19.3699i | −0.0616532 | − | 0.887820i | ||||
\(477\) | 8.39866 | + | 5.06225i | 0.384548 | + | 0.231784i | ||||
\(478\) | 26.8621 | − | 0.931577i | 1.22864 | − | 0.0426093i | ||||
\(479\) | −31.7808 | −1.45210 | −0.726051 | − | 0.687641i | \(-0.758646\pi\) | ||||
−0.726051 | + | 0.687641i | \(0.758646\pi\) | |||||||
\(480\) | −17.5009 | + | 13.1802i | −0.798803 | + | 0.601593i | ||||
\(481\) | 1.05159 | 0.0479484 | ||||||||
\(482\) | 16.2389 | − | 0.563165i | 0.739664 | − | 0.0256515i | ||||
\(483\) | 32.5549 | − | 3.97439i | 1.48130 | − | 0.180841i | ||||
\(484\) | 2.33953 | + | 33.6897i | 0.106342 | + | 1.53135i | ||||
\(485\) | −1.22745 | + | 0.449003i | −0.0557356 | + | 0.0203882i | ||||
\(486\) | −13.2021 | − | 17.6552i | −0.598857 | − | 0.800856i | ||||
\(487\) | 2.12487i | 0.0962873i | 0.998840 | + | 0.0481436i | \(0.0153305\pi\) | ||||
−0.998840 | + | 0.0481436i | \(0.984669\pi\) | |||||||
\(488\) | 0.326964 | − | 0.403172i | 0.0148010 | − | 0.0182507i | ||||
\(489\) | −9.77616 | − | 7.64886i | −0.442093 | − | 0.345894i | ||||
\(490\) | −11.4991 | − | 28.3489i | −0.519475 | − | 1.28067i | ||||
\(491\) | 16.3251 | + | 16.3251i | 0.736742 | + | 0.736742i | 0.971946 | − | 0.235204i | \(-0.0755758\pi\) |
−0.235204 | + | 0.971946i | \(0.575576\pi\) | |||||||
\(492\) | 5.48877 | + | 28.4151i | 0.247453 | + | 1.28105i | ||||
\(493\) | 3.73745 | + | 3.73745i | 0.168326 | + | 0.168326i | ||||
\(494\) | 0.225741 | + | 6.50926i | 0.0101566 | + | 0.292865i | ||||
\(495\) | 6.75108 | − | 34.7745i | 0.303439 | − | 1.56300i | ||||
\(496\) | 0.0592570 | + | 0.424599i | 0.00266072 | + | 0.0190651i | ||||
\(497\) | −0.563129 | −0.0252598 | ||||||||
\(498\) | −14.1738 | + | 19.4704i | −0.635145 | + | 0.872490i | ||||
\(499\) | −3.87438 | − | 3.87438i | −0.173441 | − | 0.173441i | 0.615048 | − | 0.788489i | \(-0.289136\pi\) |
−0.788489 | + | 0.615048i | \(0.789136\pi\) | |||||||
\(500\) | 20.1403 | + | 9.71442i | 0.900700 | + | 0.434442i | ||||
\(501\) | 1.86134 | + | 15.2466i | 0.0831586 | + | 0.681167i | ||||
\(502\) | 20.7031 | + | 19.3152i | 0.924023 | + | 0.862081i | ||||
\(503\) | −5.30301 | −0.236450 | −0.118225 | − | 0.992987i | \(-0.537720\pi\) | ||||
−0.118225 | + | 0.992987i | \(0.537720\pi\) | |||||||
\(504\) | −11.7820 | − | 32.5841i | −0.524813 | − | 1.45141i | ||||
\(505\) | 15.8366 | + | 7.35358i | 0.704718 | + | 0.327230i | ||||
\(506\) | 25.3210 | + | 23.6236i | 1.12565 | + | 1.05020i | ||||
\(507\) | 20.8612 | − | 2.54679i | 0.926477 | − | 0.113107i | ||||
\(508\) | 12.8578 | − | 0.892889i | 0.570472 | − | 0.0396155i | ||||
\(509\) | 14.4372 | + | 14.4372i | 0.639917 | + | 0.639917i | 0.950535 | − | 0.310618i | \(-0.100536\pi\) |
−0.310618 | + | 0.950535i | \(0.600536\pi\) | |||||||
\(510\) | −11.3851 | + | 6.32104i | −0.504140 | + | 0.279900i | ||||
\(511\) | − | 31.4057i | − | 1.38931i | ||||||
\(512\) | −21.5350 | + | 6.94565i | −0.951723 | + | 0.306957i | ||||
\(513\) | −10.5060 | + | 23.4658i | −0.463852 | + | 1.03604i | ||||
\(514\) | 2.68446 | − | 0.0930969i | 0.118406 | − | 0.00410633i | ||||
\(515\) | −29.6187 | + | 10.8346i | −1.30516 | + | 0.477428i | ||||
\(516\) | −2.03653 | + | 3.01166i | −0.0896532 | + | 0.132581i | ||||
\(517\) | −7.40852 | + | 7.40852i | −0.325826 | + | 0.325826i | ||||
\(518\) | 4.77047 | + | 4.45068i | 0.209602 | + | 0.195552i | ||||
\(519\) | 4.37193 | + | 3.42060i | 0.191906 | + | 0.150148i | ||||
\(520\) | −1.91159 | + | 5.56783i | −0.0838288 | + | 0.244166i | ||||
\(521\) | 0.00929696 | 0.000407307 | 0.000203654 | − | 1.00000i | \(-0.499935\pi\) | ||||
0.000203654 | 1.00000i | \(0.499935\pi\) | ||||||||
\(522\) | 8.24201 | + | 4.58613i | 0.360743 | + | 0.200729i | ||||
\(523\) | −4.31180 | − | 4.31180i | −0.188542 | − | 0.188542i | 0.606524 | − | 0.795066i | \(-0.292564\pi\) |
−0.795066 | + | 0.606524i | \(0.792564\pi\) | |||||||
\(524\) | 9.26357 | − | 10.6462i | 0.404681 | − | 0.465080i | ||||
\(525\) | −24.0519 | + | 25.9242i | −1.04971 | + | 1.13143i | ||||
\(526\) | 20.2429 | − | 0.702024i | 0.882634 | − | 0.0306097i | ||||
\(527\) | 0.254817i | 0.0111000i | ||||||||
\(528\) | 18.3451 | − | 31.6537i | 0.798369 | − | 1.37755i | ||||
\(529\) | −1.49730 | −0.0650999 | ||||||||
\(530\) | 4.02580 | − | 9.52059i | 0.174870 | − | 0.413548i | ||||
\(531\) | −15.4188 | − | 9.29358i | −0.669118 | − | 0.403307i | ||||
\(532\) | −26.5253 | + | 30.4842i | −1.15002 | + | 1.32166i | ||||
\(533\) | 5.49859 | + | 5.49859i | 0.238170 | + | 0.238170i | ||||
\(534\) | 2.54968 | + | 16.1958i | 0.110336 | + | 0.700859i | ||||
\(535\) | −29.8560 | − | 13.8634i | −1.29079 | − | 0.599366i | ||||
\(536\) | 27.3839 | − | 33.7665i | 1.18280 | − | 1.45849i | ||||
\(537\) | −3.61983 | − | 2.83215i | −0.156207 | − | 0.122216i | ||||
\(538\) | 12.3632 | + | 11.5344i | 0.533016 | + | 0.497285i | ||||
\(539\) | 36.1231 | + | 36.1231i | 1.55593 | + | 1.55593i | ||||
\(540\) | −16.4471 | + | 16.4162i | −0.707771 | + | 0.706442i | ||||
\(541\) | −32.8523 | + | 32.8523i | −1.41243 | + | 1.41243i | −0.670730 | + | 0.741701i | \(0.734019\pi\) |
−0.741701 | + | 0.670730i | \(0.765981\pi\) | |||||||
\(542\) | −1.33978 | − | 38.6326i | −0.0575484 | − | 1.65941i | ||||
\(543\) | 2.53494 | − | 3.23995i | 0.108785 | − | 0.139040i | ||||
\(544\) | −13.2477 | + | 2.31950i | −0.567989 | + | 0.0994476i | ||||
\(545\) | −30.9496 | − | 14.3712i | −1.32573 | − | 0.615594i | ||||
\(546\) | −7.52684 | − | 5.47930i | −0.322119 | − | 0.234492i | ||||
\(547\) | −3.27241 | + | 3.27241i | −0.139918 | + | 0.139918i | −0.773597 | − | 0.633678i | \(-0.781544\pi\) |
0.633678 | + | 0.773597i | \(0.281544\pi\) | |||||||
\(548\) | 2.24107 | + | 32.2720i | 0.0957340 | + | 1.37859i | ||||
\(549\) | 0.284221 | − | 0.471544i | 0.0121302 | − | 0.0201250i | ||||
\(550\) | −37.2944 | − | 1.84267i | −1.59024 | − | 0.0785718i | ||||
\(551\) | − | 11.0000i | − | 0.468617i | ||||||
\(552\) | −5.07894 | − | 22.1420i | −0.216174 | − | 0.942427i | ||||
\(553\) | −39.4556 | −1.67782 | ||||||||
\(554\) | −12.3802 | + | 13.2697i | −0.525985 | + | 0.563778i | ||||
\(555\) | 1.34830 | − | 4.16272i | 0.0572320 | − | 0.176697i | ||||
\(556\) | −23.8664 | + | 27.4285i | −1.01216 | + | 1.16323i | ||||
\(557\) | 9.94610 | − | 9.94610i | 0.421430 | − | 0.421430i | −0.464266 | − | 0.885696i | \(-0.653682\pi\) |
0.885696 | + | 0.464266i | \(0.153682\pi\) | |||||||
\(558\) | 0.124628 | + | 0.437308i | 0.00527592 | + | 0.0185127i | ||||
\(559\) | 0.976870i | 0.0413172i | ||||||||
\(560\) | −32.2367 | + | 17.1676i | −1.36225 | + | 0.725463i | ||||
\(561\) | 13.3997 | − | 17.1265i | 0.565738 | − | 0.723080i | ||||
\(562\) | −7.17262 | + | 0.248746i | −0.302559 | + | 0.0104927i | ||||
\(563\) | 19.4453 | + | 19.4453i | 0.819523 | + | 0.819523i | 0.986039 | − | 0.166516i | \(-0.0532516\pi\) |
−0.166516 | + | 0.986039i | \(0.553252\pi\) | |||||||
\(564\) | 6.74829 | − | 1.30352i | 0.284154 | − | 0.0548882i | ||||
\(565\) | −1.42088 | − | 3.88430i | −0.0597770 | − | 0.163414i | ||||
\(566\) | −23.6480 | − | 22.0628i | −0.994001 | − | 0.927368i | ||||
\(567\) | −17.1635 | − | 32.4964i | −0.720800 | − | 1.36472i | ||||
\(568\) | 0.0404924 | + | 0.387952i | 0.00169902 | + | 0.0162781i | ||||
\(569\) | 29.5741 | 1.23981 | 0.619905 | − | 0.784677i | \(-0.287171\pi\) | ||||
0.619905 | + | 0.784677i | \(0.287171\pi\) | |||||||
\(570\) | 26.0563 | + | 7.45224i | 1.09138 | + | 0.312140i | ||||
\(571\) | 16.7406 | − | 16.7406i | 0.700572 | − | 0.700572i | −0.263961 | − | 0.964533i | \(-0.585029\pi\) |
0.964533 | + | 0.263961i | \(0.0850291\pi\) | |||||||
\(572\) | −0.681016 | − | 9.80678i | −0.0284747 | − | 0.410042i | ||||
\(573\) | 3.12243 | + | 25.5763i | 0.130441 | + | 1.06847i | ||||
\(574\) | 1.67212 | + | 48.2158i | 0.0697929 | + | 2.01249i | ||||
\(575\) | −17.7129 | + | 14.9607i | −0.738678 | + | 0.623903i | ||||
\(576\) | −21.6007 | + | 10.4599i | −0.900029 | + | 0.435829i | ||||
\(577\) | 17.2485i | 0.718063i | 0.933325 | + | 0.359032i | \(0.116893\pi\) | ||||
−0.933325 | + | 0.359032i | \(0.883107\pi\) | |||||||
\(578\) | 16.0381 | − | 0.556201i | 0.667097 | − | 0.0231349i | ||||
\(579\) | 9.64398 | − | 1.17736i | 0.400790 | − | 0.0489295i | ||||
\(580\) | 3.55244 | − | 9.28592i | 0.147507 | − | 0.385577i | ||||
\(581\) | −28.3885 | + | 28.3885i | −1.17775 | + | 1.17775i | ||||
\(582\) | −1.41432 | + | 0.222656i | −0.0586256 | + | 0.00922937i | ||||
\(583\) | 17.2613i | 0.714889i | ||||||||
\(584\) | −21.6361 | + | 2.25826i | −0.895308 | + | 0.0934475i | ||||
\(585\) | −1.18997 | + | 6.12950i | −0.0491993 | + | 0.253424i | ||||
\(586\) | 16.6580 | + | 15.5414i | 0.688138 | + | 0.642008i | ||||
\(587\) | −15.6372 | + | 15.6372i | −0.645415 | + | 0.645415i | −0.951881 | − | 0.306466i | \(-0.900853\pi\) |
0.306466 | + | 0.951881i | \(0.400853\pi\) | |||||||
\(588\) | −6.35584 | − | 32.9039i | −0.262111 | − | 1.35694i | ||||
\(589\) | 0.374988 | − | 0.374988i | 0.0154511 | − | 0.0154511i | ||||
\(590\) | −7.39082 | + | 17.4785i | −0.304275 | + | 0.719577i | ||||
\(591\) | −14.0659 | + | 17.9778i | −0.578592 | + | 0.739509i | ||||
\(592\) | 2.72315 | − | 3.60652i | 0.111921 | − | 0.148227i | ||||
\(593\) | 15.1360 | 0.621561 | 0.310781 | − | 0.950482i | \(-0.399410\pi\) | ||||
0.310781 | + | 0.950482i | \(0.399410\pi\) | |||||||
\(594\) | 14.6198 | − | 35.9454i | 0.599857 | − | 1.47486i | ||||
\(595\) | −20.3872 | + | 7.45767i | −0.835794 | + | 0.305734i | ||||
\(596\) | 10.9580 | − | 12.5935i | 0.448856 | − | 0.515848i | ||||
\(597\) | 1.99796 | + | 16.3656i | 0.0817709 | + | 0.669800i | ||||
\(598\) | −4.46318 | − | 4.16399i | −0.182513 | − | 0.170278i | ||||
\(599\) | − | 42.4714i | − | 1.73533i | −0.497145 | − | 0.867667i | \(-0.665618\pi\) | ||
0.497145 | − | 0.867667i | \(-0.334382\pi\) | |||||||
\(600\) | 19.5893 | + | 14.7058i | 0.799729 | + | 0.600362i | ||||
\(601\) | 7.07055i | 0.288414i | 0.989548 | + | 0.144207i | \(0.0460631\pi\) | ||||
−0.989548 | + | 0.144207i | \(0.953937\pi\) | |||||||
\(602\) | −4.13444 | + | 4.43150i | −0.168507 | + | 0.180615i | ||||
\(603\) | 23.8040 | − | 39.4927i | 0.969376 | − | 1.60827i | ||||
\(604\) | 40.2834 | − | 2.79741i | 1.63911 | − | 0.113825i | ||||
\(605\) | 35.4590 | − | 12.9709i | 1.44161 | − | 0.527344i | ||||
\(606\) | 15.4637 | + | 11.2571i | 0.628169 | + | 0.457287i | ||||
\(607\) | 2.22367 | 0.0902561 | 0.0451281 | − | 0.998981i | \(-0.485630\pi\) | ||||
0.0451281 | + | 0.998981i | \(0.485630\pi\) | |||||||
\(608\) | 22.9086 | + | 16.0819i | 0.929066 | + | 0.652206i | ||||
\(609\) | 12.3836 | + | 9.68897i | 0.501811 | + | 0.392617i | ||||
\(610\) | −0.534535 | − | 0.226029i | −0.0216427 | − | 0.00915166i | ||||
\(611\) | 1.30586 | − | 1.30586i | 0.0528293 | − | 0.0528293i | ||||
\(612\) | −13.5750 | + | 4.38284i | −0.548738 | + | 0.177166i | ||||
\(613\) | 31.9461 | − | 31.9461i | 1.29029 | − | 1.29029i | 0.355683 | − | 0.934607i | \(-0.384248\pi\) |
0.934607 | − | 0.355683i | \(-0.115752\pi\) | |||||||
\(614\) | −23.6647 | + | 25.3651i | −0.955030 | + | 1.02365i | ||||
\(615\) | 28.8161 | − | 14.7161i | 1.16198 | − | 0.593411i | ||||
\(616\) | 38.4161 | − | 47.3700i | 1.54783 | − | 1.90859i | ||||
\(617\) | − | 33.0436i | − | 1.33029i | −0.746716 | − | 0.665143i | \(-0.768370\pi\) | ||
0.746716 | − | 0.665143i | \(-0.231630\pi\) | |||||||
\(618\) | −34.1280 | + | 5.37274i | −1.37283 | + | 0.216123i | ||||
\(619\) | −24.5945 | + | 24.5945i | −0.988537 | + | 0.988537i | −0.999935 | − | 0.0113984i | \(-0.996372\pi\) |
0.0113984 | + | 0.999935i | \(0.496372\pi\) | |||||||
\(620\) | 0.437656 | − | 0.195453i | 0.0175767 | − | 0.00784956i | ||||
\(621\) | −8.58822 | − | 22.5126i | −0.344633 | − | 0.903398i | ||||
\(622\) | −1.21177 | − | 34.9417i | −0.0485877 | − | 1.40103i | ||||
\(623\) | 27.3315i | 1.09501i | ||||||||
\(624\) | −3.23359 | + | 5.57941i | −0.129447 | + | 0.223355i | ||||
\(625\) | 4.18198 | − | 24.6477i | 0.167279 | − | 0.985910i | ||||
\(626\) | −14.7549 | + | 0.511699i | −0.589724 | + | 0.0204516i | ||||
\(627\) | −44.9223 | + | 5.48423i | −1.79402 | + | 0.219019i | ||||
\(628\) | 30.4401 | + | 26.4869i | 1.21469 | + | 1.05694i | ||||
\(629\) | 1.89933 | − | 1.89933i | 0.0757313 | − | 0.0757313i | ||||
\(630\) | −31.3403 | + | 22.7697i | −1.24863 | + | 0.907166i | ||||
\(631\) | −5.55087 | −0.220977 | −0.110488 | − | 0.993877i | \(-0.535241\pi\) | ||||
−0.110488 | + | 0.993877i | \(0.535241\pi\) | |||||||
\(632\) | 2.83710 | + | 27.1819i | 0.112854 | + | 1.08124i | ||||
\(633\) | −9.31357 | + | 11.9038i | −0.370181 | + | 0.473135i | ||||
\(634\) | 3.51479 | − | 3.76734i | 0.139590 | − | 0.149620i | ||||
\(635\) | −4.95041 | − | 13.5331i | −0.196451 | − | 0.537043i | ||||
\(636\) | 6.34294 | − | 9.38006i | 0.251514 | − | 0.371943i | ||||
\(637\) | −6.36721 | − | 6.36721i | −0.252278 | − | 0.252278i | ||||
\(638\) | 0.575427 | + | 16.5925i | 0.0227814 | + | 0.656903i | ||||
\(639\) | 0.0995328 | + | 0.401569i | 0.00393745 | + | 0.0158858i | ||||
\(640\) | 14.1452 | + | 20.9741i | 0.559137 | + | 0.829076i | ||||
\(641\) | − | 18.9176i | − | 0.747200i | −0.927590 | − | 0.373600i | \(-0.878123\pi\) | ||
0.927590 | − | 0.373600i | \(-0.121877\pi\) | |||||||
\(642\) | −29.1530 | − | 21.2224i | −1.15058 | − | 0.837582i | ||||
\(643\) | 8.14527 | − | 8.14527i | 0.321218 | − | 0.321218i | −0.528016 | − | 0.849234i | \(-0.677064\pi\) |
0.849234 | + | 0.528016i | \(0.177064\pi\) | |||||||
\(644\) | −2.62352 | − | 37.7793i | −0.103381 | − | 1.48871i | ||||
\(645\) | 3.86693 | + | 1.25249i | 0.152260 | + | 0.0493168i | ||||
\(646\) | 12.1644 | + | 11.3490i | 0.478603 | + | 0.446520i | ||||
\(647\) | −32.1389 | −1.26351 | −0.631755 | − | 0.775168i | \(-0.717665\pi\) | ||||
−0.631755 | + | 0.775168i | \(0.717665\pi\) | |||||||
\(648\) | −21.1534 | + | 14.1610i | −0.830983 | + | 0.556298i | ||||
\(649\) | − | 31.6893i | − | 1.24391i | ||||||
\(650\) | 6.57367 | + | 0.324797i | 0.257841 | + | 0.0127396i | ||||
\(651\) | 0.0918610 | + | 0.752450i | 0.00360032 | + | 0.0294908i | ||||
\(652\) | −9.40856 | + | 10.8128i | −0.368468 | + | 0.423462i | ||||
\(653\) | 16.6066 | − | 16.6066i | 0.649866 | − | 0.649866i | −0.303094 | − | 0.952961i | \(-0.598020\pi\) |
0.952961 | + | 0.303094i | \(0.0980197\pi\) | |||||||
\(654\) | −30.2208 | − | 21.9998i | −1.18173 | − | 0.860260i | ||||
\(655\) | −14.3104 | − | 6.64493i | −0.559155 | − | 0.259639i | ||||
\(656\) | 33.0967 | − | 4.61897i | 1.29221 | − | 0.180340i | ||||
\(657\) | −22.3955 | + | 5.55094i | −0.873733 | + | 0.216563i | ||||
\(658\) | 11.4507 | − | 0.397111i | 0.446396 | − | 0.0154810i | ||||
\(659\) | 9.70238 | − | 9.70238i | 0.377951 | − | 0.377951i | −0.492412 | − | 0.870363i | \(-0.663884\pi\) |
0.870363 | + | 0.492412i | \(0.163884\pi\) | |||||||
\(660\) | −39.6932 | − | 9.87794i | −1.54506 | − | 0.384498i | ||||
\(661\) | −8.55783 | − | 8.55783i | −0.332861 | − | 0.332861i | 0.520811 | − | 0.853672i | \(-0.325630\pi\) |
−0.853672 | + | 0.520811i | \(0.825630\pi\) | |||||||
\(662\) | −16.8839 | + | 18.0970i | −0.656210 | + | 0.703360i | ||||
\(663\) | −2.36189 | + | 3.01878i | −0.0917284 | + | 0.117240i | ||||
\(664\) | 21.5988 | + | 17.5162i | 0.838197 | + | 0.679760i | ||||
\(665\) | 40.9764 | + | 19.0271i | 1.58900 | + | 0.737838i | ||||
\(666\) | 2.33062 | − | 4.18850i | 0.0903097 | − | 0.162301i | ||||
\(667\) | 7.28955 | + | 7.28955i | 0.282252 | + | 0.282252i | ||||
\(668\) | 17.6933 | − | 1.22868i | 0.684575 | − | 0.0475392i | ||||
\(669\) | 0.604621 | + | 4.95255i | 0.0233760 | + | 0.191477i | ||||
\(670\) | −44.7684 | − | 18.9304i | −1.72955 | − | 0.731346i | ||||
\(671\) | 0.969138 | 0.0374131 | ||||||||
\(672\) | −38.2828 | + | 11.6250i | −1.47679 | + | 0.448444i | ||||
\(673\) | − | 50.4678i | − | 1.94539i | −0.232087 | − | 0.972695i | \(-0.574555\pi\) | ||
0.232087 | − | 0.972695i | \(-0.425445\pi\) | |||||||
\(674\) | −0.482287 | − | 13.9068i | −0.0185770 | − | 0.535670i | ||||
\(675\) | 22.7378 | + | 12.5694i | 0.875180 | + | 0.483797i | ||||
\(676\) | −1.68115 | − | 24.2090i | −0.0646597 | − | 0.931114i | ||||
\(677\) | 0.103733 | + | 0.103733i | 0.00398677 | + | 0.00398677i | 0.709097 | − | 0.705111i | \(-0.249103\pi\) |
−0.705111 | + | 0.709097i | \(0.749103\pi\) | |||||||
\(678\) | −0.704600 | − | 4.47566i | −0.0270600 | − | 0.171887i | ||||
\(679\) | −2.38677 | −0.0915958 | ||||||||
\(680\) | 6.60372 | + | 13.5090i | 0.253241 | + | 0.518045i | ||||
\(681\) | −2.94470 | + | 3.76368i | −0.112841 | + | 0.144224i | ||||
\(682\) | −0.546018 | + | 0.585250i | −0.0209081 | + | 0.0224104i | ||||
\(683\) | 6.39553 | − | 6.39553i | 0.244718 | − | 0.244718i | −0.574081 | − | 0.818799i | \(-0.694640\pi\) |
0.818799 | + | 0.574081i | \(0.194640\pi\) | |||||||
\(684\) | 26.4267 | + | 13.5272i | 1.01045 | + | 0.517226i | ||||
\(685\) | 33.9668 | − | 12.4251i | 1.29781 | − | 0.474739i | ||||
\(686\) | −0.535225 | − | 15.4333i | −0.0204350 | − | 0.589245i | ||||
\(687\) | −0.115470 | + | 0.147584i | −0.00440544 | + | 0.00563068i | ||||
\(688\) | 3.35025 | + | 2.52966i | 0.127727 | + | 0.0964422i | ||||
\(689\) | − | 3.04254i | − | 0.115912i | ||||||
\(690\) | −22.2056 | + | 12.3286i | −0.845351 | + | 0.469342i | ||||
\(691\) | 10.3797 | + | 10.3797i | 0.394861 | + | 0.394861i | 0.876416 | − | 0.481555i | \(-0.159928\pi\) |
−0.481555 | + | 0.876416i | \(0.659928\pi\) | |||||||
\(692\) | 4.20754 | − | 4.83552i | 0.159947 | − | 0.183819i | ||||
\(693\) | 33.3940 | − | 55.4033i | 1.26853 | − | 2.10460i | ||||
\(694\) | 12.5059 | − | 13.4045i | 0.474718 | − | 0.508827i | ||||
\(695\) | 36.8690 | + | 17.1198i | 1.39852 | + | 0.649391i | ||||
\(696\) | 5.78449 | − | 9.22807i | 0.219261 | − | 0.349789i | ||||
\(697\) | 19.8625 | 0.752347 | ||||||||
\(698\) | −18.1662 | + | 19.4715i | −0.687601 | + | 0.737006i | ||||
\(699\) | 21.2524 | − | 2.59455i | 0.803840 | − | 0.0981349i | ||||
\(700\) | 28.4463 | + | 29.2954i | 1.07517 | + | 1.10726i | ||||
\(701\) | 4.02073 | + | 4.02073i | 0.151861 | + | 0.151861i | 0.778949 | − | 0.627088i | \(-0.215753\pi\) |
−0.627088 | + | 0.778949i | \(0.715753\pi\) | |||||||
\(702\) | −2.57695 | + | 6.33589i | −0.0972605 | + | 0.239133i | ||||
\(703\) | −5.59010 | −0.210835 | ||||||||
\(704\) | −35.3967 | − | 23.0596i | −1.33406 | − | 0.869090i | ||||
\(705\) | −3.49492 | − | 6.84352i | −0.131626 | − | 0.257742i | ||||
\(706\) | 33.0641 | − | 1.14666i | 1.24438 | − | 0.0431552i | ||||
\(707\) | 22.5466 | + | 22.5466i | 0.847951 | + | 0.847951i | ||||
\(708\) | −11.6448 | + | 17.2205i | −0.437637 | + | 0.647185i | ||||
\(709\) | −12.9713 | − | 12.9713i | −0.487149 | − | 0.487149i | 0.420257 | − | 0.907405i | \(-0.361940\pi\) |
−0.907405 | + | 0.420257i | \(0.861940\pi\) | |||||||
\(710\) | 0.404120 | − | 0.163922i | 0.0151663 | − | 0.00615188i | ||||
\(711\) | 6.97377 | + | 28.1360i | 0.261537 | + | 1.05518i | ||||
\(712\) | 18.8293 | − | 1.96530i | 0.705658 | − | 0.0736528i | ||||
\(713\) | 0.496998i | 0.0186127i | ||||||||
\(714\) | −23.4910 | + | 3.69817i | −0.879130 | + | 0.138401i | ||||
\(715\) | −10.3218 | + | 3.77573i | −0.386014 | + | 0.141204i | ||||
\(716\) | −3.48372 | + | 4.00367i | −0.130193 | + | 0.149624i | ||||
\(717\) | −3.98922 | − | 32.6764i | −0.148980 | − | 1.22032i | ||||
\(718\) | −0.503604 | − | 14.5215i | −0.0187943 | − | 0.541936i | ||||
\(719\) | 27.1715 | 1.01332 | 0.506662 | − | 0.862145i | \(-0.330879\pi\) | ||||
0.506662 | + | 0.862145i | \(0.330879\pi\) | |||||||
\(720\) | 17.9401 | + | 19.9538i | 0.668588 | + | 0.743633i | ||||
\(721\) | −57.5935 | −2.14489 | ||||||||
\(722\) | −0.268711 | − | 7.74831i | −0.0100004 | − | 0.288362i | ||||
\(723\) | −2.41160 | − | 19.7539i | −0.0896885 | − | 0.734654i | ||||
\(724\) | −3.58351 | − | 3.11813i | −0.133180 | − | 0.115884i | ||||
\(725\) | −11.0765 | − | 0.933010i | −0.411372 | − | 0.0346511i | ||||
\(726\) | 40.8574 | − | 6.43215i | 1.51636 | − | 0.238720i | ||||
\(727\) | 8.78770i | 0.325918i | 0.986633 | + | 0.162959i | \(0.0521038\pi\) | ||||
−0.986633 | + | 0.162959i | \(0.947896\pi\) | |||||||
\(728\) | −6.77139 | + | 8.34964i | −0.250964 | + | 0.309458i | ||||
\(729\) | −20.1397 | + | 17.9831i | −0.745915 | + | 0.666041i | ||||
\(730\) | 9.14192 | + | 22.5377i | 0.338358 | + | 0.834160i | ||||
\(731\) | 1.76437 | + | 1.76437i | 0.0652577 | + | 0.0652577i | ||||
\(732\) | −0.526645 | − | 0.356126i | −0.0194653 | − | 0.0131628i | ||||
\(733\) | 10.8147 | + | 10.8147i | 0.399449 | + | 0.399449i | 0.878039 | − | 0.478590i | \(-0.158852\pi\) |
−0.478590 | + | 0.878039i | \(0.658852\pi\) | |||||||
\(734\) | 47.7791 | − | 1.65698i | 1.76356 | − | 0.0611601i | ||||
\(735\) | −33.3683 | + | 17.0408i | −1.23081 | + | 0.628561i | ||||
\(736\) | −25.8383 | + | 4.52396i | −0.952414 | + | 0.166755i | ||||
\(737\) | 81.1672 | 2.98983 | ||||||||
\(738\) | 34.0873 | − | 9.71451i | 1.25477 | − | 0.357596i | ||||
\(739\) | 22.4470 | + | 22.4470i | 0.825725 | + | 0.825725i | 0.986922 | − | 0.161197i | \(-0.0515354\pi\) |
−0.161197 | + | 0.986922i | \(0.551535\pi\) | |||||||
\(740\) | −4.71900 | − | 1.80531i | −0.173474 | − | 0.0663646i | ||||
\(741\) | 7.91818 | − | 0.966673i | 0.290882 | − | 0.0355116i | ||||
\(742\) | 12.8771 | − | 13.8023i | 0.472731 | − | 0.506698i | ||||
\(743\) | 32.8288 | 1.20437 | 0.602187 | − | 0.798355i | \(-0.294296\pi\) | ||||
0.602187 | + | 0.798355i | \(0.294296\pi\) | |||||||
\(744\) | 0.511774 | − | 0.117391i | 0.0187626 | − | 0.00430376i | ||||
\(745\) | −16.9279 | − | 7.86035i | −0.620192 | − | 0.287981i | ||||
\(746\) | −17.5547 | + | 18.8160i | −0.642722 | + | 0.688902i | ||||
\(747\) | 25.2616 | + | 15.2263i | 0.924275 | + | 0.557102i | ||||
\(748\) | −18.9425 | − | 16.4825i | −0.692608 | − | 0.602660i | ||||
\(749\) | −42.5060 | − | 42.5060i | −1.55314 | − | 1.55314i | ||||
\(750\) | 9.71412 | − | 25.6054i | 0.354710 | − | 0.934976i | ||||
\(751\) | − | 11.6289i | − | 0.424346i | −0.977232 | − | 0.212173i | \(-0.931946\pi\) | ||
0.977232 | − | 0.212173i | \(-0.0680541\pi\) | |||||||
\(752\) | −1.09696 | − | 7.86012i | −0.0400019 | − | 0.286629i | ||||
\(753\) | 21.3686 | − | 27.3116i | 0.778716 | − | 0.995291i | ||||
\(754\) | −0.101427 | − | 2.92466i | −0.00369376 | − | 0.106510i | ||||
\(755\) | −15.5096 | − | 42.3990i | −0.564452 | − | 1.54306i | ||||
\(756\) | −38.5057 | + | 17.8358i | −1.40044 | + | 0.648683i | ||||
\(757\) | −35.0528 | + | 35.0528i | −1.27401 | + | 1.27401i | −0.330051 | + | 0.943963i | \(0.607066\pi\) |
−0.943963 | + | 0.330051i | \(0.892934\pi\) | |||||||
\(758\) | 8.80389 | − | 9.43646i | 0.319772 | − | 0.342748i | ||||
\(759\) | 26.1350 | − | 33.4036i | 0.948639 | − | 1.21247i | ||||
\(760\) | 10.1617 | − | 29.5977i | 0.368604 | − | 1.07362i | ||||
\(761\) | −34.3245 | −1.24426 | −0.622132 | − | 0.782912i | \(-0.713733\pi\) | ||||
−0.622132 | + | 0.782912i | \(0.713733\pi\) | |||||||
\(762\) | −2.45485 | − | 15.5934i | −0.0889299 | − | 0.564889i | ||||
\(763\) | −44.0630 | − | 44.0630i | −1.59519 | − | 1.59519i | ||||
\(764\) | 29.6808 | − | 2.06114i | 1.07381 | − | 0.0745692i | ||||
\(765\) | 8.92152 | + | 13.2201i | 0.322558 | + | 0.477972i | ||||
\(766\) | 0.406418 | + | 11.7191i | 0.0146845 | + | 0.423429i | ||||
\(767\) | 5.58569i | 0.201688i | ||||||||
\(768\) | 10.7615 | + | 25.5380i | 0.388322 | + | 0.921524i | ||||
\(769\) | 0.873616 | 0.0315034 | 0.0157517 | − | 0.999876i | \(-0.494986\pi\) | ||||
0.0157517 | + | 0.999876i | \(0.494986\pi\) | |||||||
\(770\) | −62.8043 | − | 26.5570i | −2.26331 | − | 0.957046i | ||||
\(771\) | −0.398662 | − | 3.26551i | −0.0143575 | − | 0.117604i | ||||
\(772\) | −0.777185 | − | 11.1916i | −0.0279715 | − | 0.402796i | ||||
\(773\) | 23.8387 | + | 23.8387i | 0.857420 | + | 0.857420i | 0.991033 | − | 0.133614i | \(-0.0426582\pi\) |
−0.133614 | + | 0.991033i | \(0.542658\pi\) | |||||||
\(774\) | 3.89088 | + | 2.16502i | 0.139855 | + | 0.0778200i | ||||
\(775\) | −0.345790 | − | 0.409402i | −0.0124211 | − | 0.0147062i | ||||
\(776\) | 0.171623 | + | 1.64430i | 0.00616092 | + | 0.0590269i | ||||
\(777\) | 4.92383 | − | 6.29324i | 0.176641 | − | 0.225769i | ||||
\(778\) | −32.4413 | + | 34.7722i | −1.16308 | + | 1.24665i | ||||
\(779\) | −29.2296 | − | 29.2296i | −1.04726 | − | 1.04726i | ||||
\(780\) | 6.99649 | + | 1.74113i | 0.250514 | + | 0.0623423i | ||||
\(781\) | −0.514943 | + | 0.514943i | −0.0184261 | + | 0.0184261i | ||||
\(782\) | −15.5820 | + | 0.540381i | −0.557209 | + | 0.0193240i | ||||
\(783\) | 4.72044 | − | 10.5434i | 0.168695 | − | 0.376789i | ||||
\(784\) | −38.3251 | + | 5.34864i | −1.36875 | + | 0.191023i | ||||
\(785\) | 18.9995 | − | 40.9171i | 0.678123 | − | 1.46040i | ||||
\(786\) | −13.9735 | − | 10.1722i | −0.498417 | − | 0.362832i | ||||
\(787\) | −11.2684 | + | 11.2684i | −0.401674 | + | 0.401674i | −0.878823 | − | 0.477148i | \(-0.841670\pi\) |
0.477148 | + | 0.878823i | \(0.341670\pi\) | |||||||
\(788\) | 19.8842 | + | 17.3018i | 0.708344 | + | 0.616353i | ||||
\(789\) | −3.00622 | − | 24.6245i | −0.107024 | − | 0.876656i | ||||
\(790\) | 28.3147 | − | 11.4852i | 1.00739 | − | 0.408625i | ||||
\(791\) | − | 7.55300i | − | 0.268554i | ||||||
\(792\) | −40.5698 | − | 19.0221i | −1.44159 | − | 0.675920i | ||||
\(793\) | −0.170824 | −0.00606614 | ||||||||
\(794\) | 28.3169 | + | 26.4187i | 1.00493 | + | 0.937565i | ||||
\(795\) | −12.0439 | − | 3.90099i | −0.427153 | − | 0.138354i | ||||
\(796\) | 18.9919 | − | 1.31887i | 0.673152 | − | 0.0467459i | ||||
\(797\) | −36.0183 | + | 36.0183i | −1.27583 | + | 1.27583i | −0.332855 | + | 0.942978i | \(0.608012\pi\) |
−0.942978 | + | 0.332855i | \(0.891988\pi\) | |||||||
\(798\) | 40.0116 | + | 29.1271i | 1.41639 | + | 1.03109i | ||||
\(799\) | − | 4.71714i | − | 0.166880i | ||||||
\(800\) | 18.1368 | − | 21.7039i | 0.641232 | − | 0.767347i | ||||
\(801\) | 19.4902 | − | 4.83083i | 0.688653 | − | 0.170689i | ||||
\(802\) | −1.31774 | − | 37.9971i | −0.0465310 | − | 1.34173i | ||||
\(803\) | −28.7184 | − | 28.7184i | −1.01345 | − | 1.01345i | ||||
\(804\) | −44.1075 | − | 29.8262i | −1.55555 | − | 1.05189i | ||||
\(805\) | −39.7633 | + | 14.5455i | −1.40147 | + | 0.512661i | ||||
\(806\) | 0.0962433 | − | 0.103159i | 0.00339003 | − | 0.00363360i | ||||
\(807\) | 12.7607 | − | 16.3096i | 0.449197 | − | 0.574127i | ||||
\(808\) | 13.9116 | − | 17.1541i | 0.489409 | − | 0.603478i | ||||
\(809\) | −47.3602 | −1.66510 | −0.832548 | − | 0.553953i | \(-0.813119\pi\) | ||||
−0.832548 | + | 0.553953i | \(0.813119\pi\) | |||||||
\(810\) | 21.7765 | + | 18.3244i | 0.765150 | + | 0.643852i | ||||
\(811\) | 10.0673 | − | 10.0673i | 0.353512 | − | 0.353512i | −0.507903 | − | 0.861415i | \(-0.669579\pi\) |
0.861415 | + | 0.507903i | \(0.169579\pi\) | |||||||
\(812\) | 11.9180 | − | 13.6968i | 0.418240 | − | 0.480663i | ||||
\(813\) | −46.9947 | + | 5.73723i | −1.64817 | + | 0.201213i | ||||
\(814\) | 8.43213 | − | 0.292426i | 0.295546 | − | 0.0102495i | ||||
\(815\) | 14.5344 | + | 6.74894i | 0.509118 | + | 0.236405i | ||||
\(816\) | 4.23691 | + | 15.9176i | 0.148321 | + | 0.557227i | ||||
\(817\) | − | 5.19289i | − | 0.181676i | ||||||
\(818\) | −1.39053 | − | 40.0960i | −0.0486186 | − | 1.40192i | ||||
\(819\) | −5.88617 | + | 9.76561i | −0.205679 | + | 0.341238i | ||||
\(820\) | −15.2352 | − | 34.1145i | −0.532035 | − | 1.19133i | ||||
\(821\) | 29.4088 | − | 29.4088i | 1.02637 | − | 1.02637i | 0.0267305 | − | 0.999643i | \(-0.491490\pi\) |
0.999643 | − | 0.0267305i | \(-0.00850959\pi\) | |||||||
\(822\) | 39.1381 | − | 6.16147i | 1.36510 | − | 0.214906i | ||||
\(823\) | 8.03877i | 0.280214i | 0.990136 | + | 0.140107i | \(0.0447446\pi\) | ||||
−0.990136 | + | 0.140107i | \(0.955255\pi\) | |||||||
\(824\) | 4.14132 | + | 39.6775i | 0.144270 | + | 1.38223i | ||||
\(825\) | 1.71211 | + | 45.6998i | 0.0596082 | + | 1.59106i | ||||
\(826\) | −23.6405 | + | 25.3391i | −0.822558 | + | 0.881660i | ||||
\(827\) | −25.7224 | + | 25.7224i | −0.894456 | + | 0.894456i | −0.994939 | − | 0.100482i | \(-0.967961\pi\) |
0.100482 | + | 0.994939i | \(0.467961\pi\) | |||||||
\(828\) | −26.4769 | + | 8.54831i | −0.920134 | + | 0.297074i | ||||
\(829\) | −7.82520 | + | 7.82520i | −0.271780 | + | 0.271780i | −0.829817 | − | 0.558036i | \(-0.811555\pi\) |
0.558036 | + | 0.829817i | \(0.311555\pi\) | |||||||
\(830\) | 12.1089 | − | 28.6362i | 0.420306 | − | 0.993977i | ||||
\(831\) | 17.5055 | + | 13.6963i | 0.607261 | + | 0.475121i | ||||
\(832\) | 6.23916 | + | 4.06457i | 0.216304 | + | 0.140914i | ||||
\(833\) | −23.0003 | −0.796913 | ||||||||
\(834\) | 36.0008 | + | 26.2075i | 1.24661 | + | 0.907490i | ||||
\(835\) | −6.81215 | − | 18.6225i | −0.235744 | − | 0.644459i | ||||
\(836\) | 3.62018 | + | 52.1313i | 0.125206 | + | 1.80300i | ||||
\(837\) | 0.520339 | − | 0.198502i | 0.0179855 | − | 0.00686122i | ||||
\(838\) | −13.5589 | + | 14.5331i | −0.468383 | + | 0.502038i | ||||
\(839\) | 49.5577i | 1.71092i | 0.517866 | + | 0.855461i | \(0.326726\pi\) | ||||
−0.517866 | + | 0.855461i | \(0.673274\pi\) | |||||||
\(840\) | 24.3701 | + | 37.5099i | 0.840847 | + | 1.29422i | ||||
\(841\) | − | 24.0576i | − | 0.829572i | ||||||
\(842\) | 38.5399 | + | 35.9564i | 1.32817 | + | 1.23914i | ||||
\(843\) | 1.06519 | + | 8.72513i | 0.0366870 | + | 0.300509i | ||||
\(844\) | 13.1661 | + | 11.4563i | 0.453196 | + | 0.394340i | ||||
\(845\) | −25.4803 | + | 9.32074i | −0.876551 | + | 0.320643i | ||||
\(846\) | −2.30709 | − | 8.09538i | −0.0793195 | − | 0.278325i | ||||
\(847\) | 68.9499 | 2.36914 | ||||||||
\(848\) | −10.4347 | − | 7.87883i | −0.358327 | − | 0.270560i | ||||
\(849\) | −24.4083 | + | 31.1966i | −0.837689 | + | 1.07067i | ||||
\(850\) | 12.4597 | − | 11.2864i | 0.427363 | − | 0.387121i | ||||
\(851\) | 3.70447 | − | 3.70447i | 0.126988 | − | 0.126988i | ||||
\(852\) | 0.469053 | − | 0.0906040i | 0.0160695 | − | 0.00310404i | ||||
\(853\) | −27.2084 | + | 27.2084i | −0.931598 | + | 0.931598i | −0.997806 | − | 0.0662080i | \(-0.978910\pi\) |
0.0662080 | + | 0.997806i | \(0.478910\pi\) | |||||||
\(854\) | −0.774932 | − | 0.722984i | −0.0265176 | − | 0.0247400i | ||||
\(855\) | 6.32572 | − | 32.5835i | 0.216335 | − | 1.11433i | ||||
\(856\) | −26.2269 | + | 32.3398i | −0.896418 | + | 1.10535i | ||||
\(857\) | − | 39.9345i | − | 1.36414i | −0.731289 | − | 0.682068i | \(-0.761081\pi\) | ||
0.731289 | − | 0.682068i | \(-0.238919\pi\) | |||||||
\(858\) | −11.8932 | + | 1.87234i | −0.406029 | + | 0.0639207i | ||||
\(859\) | −33.5029 | + | 33.5029i | −1.14311 | + | 1.14311i | −0.155227 | + | 0.987879i | \(0.549611\pi\) |
−0.987879 | + | 0.155227i | \(0.950389\pi\) | |||||||
\(860\) | 1.67704 | − | 4.38369i | 0.0571865 | − | 0.149483i | ||||
\(861\) | 58.6520 | − | 7.16040i | 1.99886 | − | 0.244026i | ||||
\(862\) | 19.7401 | − | 0.684584i | 0.672349 | − | 0.0233170i | ||||
\(863\) | − | 4.15052i | − | 0.141285i | −0.997502 | − | 0.0706426i | \(-0.977495\pi\) | ||
0.997502 | − | 0.0706426i | \(-0.0225050\pi\) | |||||||
\(864\) | 15.0563 | + | 25.2450i | 0.512226 | + | 0.858851i | ||||
\(865\) | −6.49984 | − | 3.01815i | −0.221001 | − | 0.102620i | ||||
\(866\) | −1.15376 | − | 33.2688i | −0.0392063 | − | 1.13052i | ||||
\(867\) | −2.38178 | − | 19.5096i | −0.0808894 | − | 0.662579i | ||||
\(868\) | 0.873202 | − | 0.0606381i | 0.0296384 | − | 0.00205819i | ||||
\(869\) | −36.0795 | + | 36.0795i | −1.22391 | + | 1.22391i | ||||
\(870\) | −11.7073 | − | 3.34835i | −0.396914 | − | 0.113520i | ||||
\(871\) | −14.3069 | −0.484770 | ||||||||
\(872\) | −27.1876 | + | 33.5244i | −0.920688 | + | 1.13528i | ||||
\(873\) | 0.421861 | + | 1.70202i | 0.0142778 | + | 0.0576045i | ||||
\(874\) | 23.7256 | + | 22.1351i | 0.802529 | + | 0.748732i | ||||
\(875\) | 22.6349 | − | 39.6475i | 0.765201 | − | 1.34033i | ||||
\(876\) | 5.05298 | + | 26.1591i | 0.170724 | + | 0.883833i | ||||
\(877\) | −19.6248 | − | 19.6248i | −0.662681 | − | 0.662681i | 0.293330 | − | 0.956011i | \(-0.405236\pi\) |
−0.956011 | + | 0.293330i | \(0.905236\pi\) | |||||||
\(878\) | −25.3111 | + | 0.877787i | −0.854208 | + | 0.0296239i | ||||
\(879\) | 17.1936 | − | 21.9754i | 0.579924 | − | 0.741212i | ||||
\(880\) | −13.7797 | + | 45.1769i | −0.464513 | + | 1.52291i | ||||
\(881\) | 20.6430i | 0.695481i | 0.937591 | + | 0.347740i | \(0.113051\pi\) | ||||
−0.937591 | + | 0.347740i | \(0.886949\pi\) | |||||||
\(882\) | −39.4722 | + | 11.2491i | −1.32910 | + | 0.378778i | ||||
\(883\) | 2.68626 | − | 2.68626i | 0.0904000 | − | 0.0904000i | −0.660461 | − | 0.750861i | \(-0.729639\pi\) |
0.750861 | + | 0.660461i | \(0.229639\pi\) | |||||||
\(884\) | 3.33889 | + | 2.90527i | 0.112299 | + | 0.0977149i | ||||
\(885\) | 22.1109 | + | 7.16168i | 0.743250 | + | 0.240737i | ||||
\(886\) | 11.2409 | − | 12.0486i | 0.377645 | − | 0.404780i | ||||
\(887\) | 5.25621 | 0.176486 | 0.0882432 | − | 0.996099i | \(-0.471875\pi\) | ||||
0.0882432 | + | 0.996099i | \(0.471875\pi\) | |||||||
\(888\) | −4.68961 | − | 2.93962i | −0.157373 | − | 0.0986470i | ||||
\(889\) | − | 26.3149i | − | 0.882575i | ||||||
\(890\) | −7.95596 | − | 19.6140i | −0.266684 | − | 0.657462i | ||||
\(891\) | −45.4107 | − | 14.0209i | −1.52132 | − | 0.469719i | ||||
\(892\) | 5.74733 | − | 0.399114i | 0.192435 | − | 0.0133633i | ||||
\(893\) | −6.94173 | + | 6.94173i | −0.232296 | + | 0.232296i | ||||
\(894\) | −16.5293 | − | 12.0328i | −0.552824 | − | 0.402438i | ||||
\(895\) | 5.38167 | + | 2.49894i | 0.179889 | + | 0.0835302i | ||||
\(896\) | 11.1009 | + | 44.8448i | 0.370855 | + | 1.49816i | ||||
\(897\) | −4.60666 | + | 5.88785i | −0.153812 | + | 0.196590i | ||||
\(898\) | 0.551342 | + | 15.8980i | 0.0183985 | + | 0.530523i | ||||
\(899\) | −0.168485 | + | 0.168485i | −0.00561930 | + | 0.00561930i | ||||
\(900\) | 15.8628 | − | 25.4632i | 0.528759 | − | 0.848772i | ||||
\(901\) | −5.49529 | − | 5.49529i | −0.183075 | − | 0.183075i | ||||
\(902\) | 45.6191 | + | 42.5611i | 1.51895 | + | 1.41713i | ||||
\(903\) | 5.84607 | + | 4.57396i | 0.194545 | + | 0.152212i | ||||
\(904\) | −5.20344 | + | 0.543107i | −0.173064 | + | 0.0180635i | ||||
\(905\) | −2.23669 | + | 4.81690i | −0.0743500 | + | 0.160119i | ||||
\(906\) | −7.69104 | − | 48.8540i | −0.255518 | − | 1.62306i | ||||
\(907\) | 25.4215 | + | 25.4215i | 0.844108 | + | 0.844108i | 0.989390 | − | 0.145282i | \(-0.0464091\pi\) |
−0.145282 | + | 0.989390i | \(0.546409\pi\) | |||||||
\(908\) | 4.16277 | + | 3.62216i | 0.138146 | + | 0.120206i | ||||
\(909\) | 12.0930 | − | 20.0632i | 0.401098 | − | 0.665453i | ||||
\(910\) | 11.0701 | + | 4.68104i | 0.366972 | + | 0.155175i | ||||
\(911\) | 29.2937 | 0.970544 | 0.485272 | − | 0.874363i | \(-0.338721\pi\) | ||||
0.485272 | + | 0.874363i | \(0.338721\pi\) | |||||||
\(912\) | 17.1893 | − | 29.6593i | 0.569193 | − | 0.982117i | ||||
\(913\) | 51.9188i | 1.71826i | ||||||||
\(914\) | −38.6795 | + | 1.34140i | −1.27941 | + | 0.0443697i | ||||
\(915\) | −0.219022 | + | 0.676206i | −0.00724064 | + | 0.0223547i | ||||
\(916\) | 0.163234 | + | 0.142035i | 0.00539339 | + | 0.00469296i | ||||
\(917\) | −20.3738 | − | 20.3738i | −0.672802 | − | 0.672802i | ||||
\(918\) | 6.78922 | + | 16.0979i | 0.224078 | + | 0.531310i | ||||
\(919\) | −42.0179 | −1.38604 | −0.693022 | − | 0.720917i | \(-0.743721\pi\) | ||||
−0.693022 | + | 0.720917i | \(0.743721\pi\) | |||||||
\(920\) | 12.8799 | + | 26.3480i | 0.424639 | + | 0.868667i | ||||
\(921\) | 33.4618 | + | 26.1805i | 1.10260 | + | 0.862676i | ||||
\(922\) | 13.8524 | + | 12.9238i | 0.456204 | + | 0.425622i | ||||
\(923\) | 0.0907661 | − | 0.0907661i | 0.00298760 | − | 0.00298760i | ||||
\(924\) | −61.8773 | − | 41.8424i | −2.03561 | − | 1.37651i | ||||
\(925\) | −0.474146 | + | 5.62897i | −0.0155898 | + | 0.185080i | ||||
\(926\) | −2.82867 | + | 0.0980982i | −0.0929560 | + | 0.00322371i | ||||
\(927\) | 10.1796 | + | 41.0702i | 0.334343 | + | 1.34892i | ||||
\(928\) | −10.2930 | − | 7.22571i | −0.337885 | − | 0.237195i | ||||
\(929\) | 50.1590i | 1.64566i | 0.568286 | + | 0.822831i | \(0.307607\pi\) | ||||
−0.568286 | + | 0.822831i | \(0.692393\pi\) | |||||||
\(930\) | −0.284954 | − | 0.513243i | −0.00934401 | − | 0.0168299i | ||||
\(931\) | 33.8471 | + | 33.8471i | 1.10930 | + | 1.10930i | ||||
\(932\) | −1.71268 | − | 24.6630i | −0.0561007 | − | 0.807862i | ||||
\(933\) | −42.5048 | + | 5.18909i | −1.39154 | + | 0.169883i | ||||
\(934\) | −29.7400 | − | 27.7464i | −0.973123 | − | 0.907889i | ||||
\(935\) | −11.8232 | + | 25.4623i | −0.386660 | + | 0.832705i | ||||
\(936\) | 7.15100 | + | 3.35291i | 0.233738 | + | 0.109593i | ||||
\(937\) | −46.0881 | −1.50563 | −0.752817 | − | 0.658230i | \(-0.771305\pi\) | ||||
−0.752817 | + | 0.658230i | \(0.771305\pi\) | |||||||
\(938\) | −64.9021 | − | 60.5514i | −2.11913 | − | 1.97707i | ||||
\(939\) | 2.19121 | + | 17.9486i | 0.0715074 | + | 0.585730i | ||||
\(940\) | −8.10183 | + | 3.61819i | −0.264253 | + | 0.118012i | ||||
\(941\) | 30.3573 | + | 30.3573i | 0.989619 | + | 0.989619i | 0.999947 | − | 0.0103277i | \(-0.00328746\pi\) |
−0.0103277 | + | 0.999947i | \(0.503287\pi\) | |||||||
\(942\) | 29.0850 | − | 39.9537i | 0.947640 | − | 1.30176i | ||||
\(943\) | 38.7400 | 1.26155 | ||||||||
\(944\) | 19.1566 | + | 14.4644i | 0.623493 | + | 0.470777i | ||||
\(945\) | 31.1101 | + | 35.8213i | 1.01201 | + | 1.16527i | ||||
\(946\) | 0.271647 | + | 7.83298i | 0.00883201 | + | 0.254672i | ||||
\(947\) | 12.0328 | + | 12.0328i | 0.391012 | + | 0.391012i | 0.875048 | − | 0.484036i | \(-0.160830\pi\) |
−0.484036 | + | 0.875048i | \(0.660830\pi\) | |||||||
\(948\) | 32.8642 | − | 6.34817i | 1.06738 | − | 0.206179i | ||||
\(949\) | 5.06202 | + | 5.06202i | 0.164320 | + | 0.164320i | ||||
\(950\) | −34.9446 | − | 1.72657i | −1.13375 | − | 0.0560174i | ||||
\(951\) | −4.96990 | − | 3.88845i | −0.161160 | − | 0.126092i | ||||
\(952\) | 2.85056 | + | 27.3108i | 0.0923872 | + | 0.885149i | ||||
\(953\) | 0.810875i | 0.0262668i | 0.999914 | + | 0.0131334i | \(0.00418062\pi\) | ||||
−0.999914 | + | 0.0131334i | \(0.995819\pi\) | |||||||
\(954\) | −12.1185 | − | 6.74313i | −0.392351 | − | 0.218317i | ||||
\(955\) | −11.4275 | − | 31.2396i | −0.369784 | − | 1.01089i | ||||
\(956\) | −37.9203 | + | 2.63331i | −1.22643 | + | 0.0851675i | ||||
\(957\) | 20.1839 | − | 2.46411i | 0.652454 | − | 0.0796533i | ||||
\(958\) | 44.9178 | − | 1.55775i | 1.45123 | − | 0.0503285i | ||||
\(959\) | 66.0483 | 2.13281 | ||||||||
\(960\) | 24.0891 | − | 19.4863i | 0.777472 | − | 0.628917i | ||||
\(961\) | 30.9885 | 0.999629 | ||||||||
\(962\) | −1.48628 | + | 0.0515441i | −0.0479196 | + | 0.00166185i | ||||
\(963\) | −22.7983 | + | 37.8242i | −0.734666 | + | 1.21887i | ||||
\(964\) | −22.9239 | + | 1.59192i | −0.738330 | + | 0.0512721i | ||||
\(965\) | −11.7794 | + | 4.30892i | −0.379192 | + | 0.138709i | ||||
\(966\) | −45.8171 | + | 7.21294i | −1.47414 | + | 0.232073i | ||||
\(967\) | 3.61644i | 0.116297i | 0.998308 | + | 0.0581484i | \(0.0185196\pi\) | ||||
−0.998308 | + | 0.0581484i | \(0.981480\pi\) | |||||||
\(968\) | −4.95792 | − | 47.5011i | −0.159353 | − | 1.52674i | ||||
\(969\) | 12.5555 | − | 16.0474i | 0.403340 | − | 0.515516i | ||||
\(970\) | 1.71283 | − | 0.694768i | 0.0549955 | − | 0.0223077i | ||||
\(971\) | 13.6779 | + | 13.6779i | 0.438946 | + | 0.438946i | 0.891657 | − | 0.452711i | \(-0.149543\pi\) |
−0.452711 | + | 0.891657i | \(0.649543\pi\) | |||||||
\(972\) | 19.5247 | + | 24.3061i | 0.626254 | + | 0.779619i | ||||
\(973\) | 52.4905 | + | 52.4905i | 1.68277 | + | 1.68277i | ||||
\(974\) | −0.104152 | − | 3.00322i | −0.00333723 | − | 0.0962294i | ||||
\(975\) | −0.301784 | − | 8.05524i | −0.00966483 | − | 0.257974i | ||||
\(976\) | −0.442358 | + | 0.585855i | −0.0141595 | + | 0.0187528i | ||||
\(977\) | 10.3013 | 0.329567 | 0.164784 | − | 0.986330i | \(-0.447307\pi\) | ||||
0.164784 | + | 0.986330i | \(0.447307\pi\) | |||||||
\(978\) | 14.1922 | + | 10.3314i | 0.453816 | + | 0.330363i | ||||
\(979\) | 24.9928 | + | 24.9928i | 0.798774 | + | 0.798774i | ||||
\(980\) | 17.6419 | + | 39.5037i | 0.563550 | + | 1.26190i | ||||
\(981\) | −23.6334 | + | 39.2096i | −0.754556 | + | 1.25187i | ||||
\(982\) | −23.8735 | − | 22.2731i | −0.761834 | − | 0.710765i | ||||
\(983\) | −5.71041 | −0.182134 | −0.0910668 | − | 0.995845i | \(-0.529028\pi\) | ||||
−0.0910668 | + | 0.995845i | \(0.529028\pi\) | |||||||
\(984\) | −9.15040 | − | 39.8919i | −0.291704 | − | 1.27171i | ||||
\(985\) | 12.4109 | − | 26.7280i | 0.395445 | − | 0.851625i | ||||
\(986\) | −5.46557 | − | 5.09919i | −0.174059 | − | 0.162391i | ||||
\(987\) | −1.70052 | − | 13.9292i | −0.0541281 | − | 0.443372i | ||||
\(988\) | −0.638107 | − | 9.18889i | −0.0203009 | − | 0.292337i | ||||
\(989\) | 3.44125 | + | 3.44125i | 0.109425 | + | 0.109425i | ||||
\(990\) | −7.83725 | + | 49.4799i | −0.249084 | + | 1.57258i | ||||
\(991\) | 30.7989i | 0.978358i | 0.872183 | + | 0.489179i | \(0.162703\pi\) | ||||
−0.872183 | + | 0.489179i | \(0.837297\pi\) | |||||||
\(992\) | −0.104564 | − | 0.597208i | −0.00331990 | − | 0.0189614i | ||||
\(993\) | 23.8737 | + | 18.6788i | 0.757608 | + | 0.592753i | ||||
\(994\) | 0.795906 | − | 0.0276020i | 0.0252446 | − | 0.000875481i | ||||
\(995\) | −7.31213 | − | 19.9894i | −0.231810 | − | 0.633705i | ||||
\(996\) | 19.0784 | − | 28.2135i | 0.604523 | − | 0.893979i | ||||
\(997\) | 13.0092 | − | 13.0092i | 0.412005 | − | 0.412005i | −0.470431 | − | 0.882437i | \(-0.655902\pi\) |
0.882437 | + | 0.470431i | \(0.155902\pi\) | |||||||
\(998\) | 5.66581 | + | 5.28600i | 0.179348 | + | 0.167325i | ||||
\(999\) | −5.35802 | − | 2.39888i | −0.169520 | − | 0.0758971i |
(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 | 240.2.t.b.59.1 | ✓ | 80 | |
3.2 | odd | 2 | inner | 240.2.t.b.59.39 | yes | 80 | |
4.3 | odd | 2 | 960.2.t.b.719.19 | 80 | |||
5.4 | even | 2 | inner | 240.2.t.b.59.40 | yes | 80 | |
12.11 | even | 2 | 960.2.t.b.719.39 | 80 | |||
15.14 | odd | 2 | inner | 240.2.t.b.59.2 | yes | 80 | |
16.3 | odd | 4 | inner | 240.2.t.b.179.2 | yes | 80 | |
16.13 | even | 4 | 960.2.t.b.239.2 | 80 | |||
20.19 | odd | 2 | 960.2.t.b.719.22 | 80 | |||
48.29 | odd | 4 | 960.2.t.b.239.22 | 80 | |||
48.35 | even | 4 | inner | 240.2.t.b.179.40 | yes | 80 | |
60.59 | even | 2 | 960.2.t.b.719.2 | 80 | |||
80.19 | odd | 4 | inner | 240.2.t.b.179.39 | yes | 80 | |
80.29 | even | 4 | 960.2.t.b.239.39 | 80 | |||
240.29 | odd | 4 | 960.2.t.b.239.19 | 80 | |||
240.179 | even | 4 | inner | 240.2.t.b.179.1 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
240.2.t.b.59.1 | ✓ | 80 | 1.1 | even | 1 | trivial | |
240.2.t.b.59.2 | yes | 80 | 15.14 | odd | 2 | inner | |
240.2.t.b.59.39 | yes | 80 | 3.2 | odd | 2 | inner | |
240.2.t.b.59.40 | yes | 80 | 5.4 | even | 2 | inner | |
240.2.t.b.179.1 | yes | 80 | 240.179 | even | 4 | inner | |
240.2.t.b.179.2 | yes | 80 | 16.3 | odd | 4 | inner | |
240.2.t.b.179.39 | yes | 80 | 80.19 | odd | 4 | inner | |
240.2.t.b.179.40 | yes | 80 | 48.35 | even | 4 | inner | |
960.2.t.b.239.2 | 80 | 16.13 | even | 4 | |||
960.2.t.b.239.19 | 80 | 240.29 | odd | 4 | |||
960.2.t.b.239.22 | 80 | 48.29 | odd | 4 | |||
960.2.t.b.239.39 | 80 | 80.29 | even | 4 | |||
960.2.t.b.719.2 | 80 | 60.59 | even | 2 | |||
960.2.t.b.719.19 | 80 | 4.3 | odd | 2 | |||
960.2.t.b.719.22 | 80 | 20.19 | odd | 2 | |||
960.2.t.b.719.39 | 80 | 12.11 | even | 2 |