Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(29,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.y (of order \(10\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.17 | ||
Character | \(\chi\) | \(=\) | 930.29 |
Dual form | 930.2.y.a.449.17 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | 0.0933927 | − | 1.72953i | 0.0539203 | − | 0.998545i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −1.13834 | + | 1.92463i | −0.509081 | + | 0.860719i | ||||
\(6\) | −1.09215 | + | 1.34433i | −0.445868 | + | 0.548818i | ||||
\(7\) | 3.43231 | − | 1.11523i | 1.29729 | − | 0.421516i | 0.422653 | − | 0.906291i | \(-0.361099\pi\) |
0.874639 | + | 0.484776i | \(0.161099\pi\) | |||||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | −2.98256 | − | 0.323051i | −0.994185 | − | 0.107684i | ||||
\(10\) | 2.05220 | − | 0.887956i | 0.648963 | − | 0.280796i | ||||
\(11\) | 1.53458 | + | 4.72295i | 0.462694 | + | 1.42402i | 0.861860 | + | 0.507146i | \(0.169300\pi\) |
−0.399167 | + | 0.916878i | \(0.630700\pi\) | |||||||
\(12\) | 1.67374 | − | 0.445633i | 0.483168 | − | 0.128643i | ||||
\(13\) | −4.78611 | + | 3.47731i | −1.32743 | + | 0.964433i | −0.327621 | + | 0.944809i | \(0.606247\pi\) |
−0.999807 | + | 0.0196242i | \(0.993753\pi\) | |||||||
\(14\) | −3.43231 | − | 1.11523i | −0.917324 | − | 0.298057i | ||||
\(15\) | 3.22239 | + | 2.14854i | 0.832017 | + | 0.554750i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −4.96229 | − | 1.61235i | −1.20353 | − | 0.391052i | −0.362474 | − | 0.931994i | \(-0.618068\pi\) |
−0.841060 | + | 0.540942i | \(0.818068\pi\) | |||||||
\(18\) | 2.22305 | + | 2.01446i | 0.523979 | + | 0.474812i | ||||
\(19\) | −5.10320 | − | 3.70769i | −1.17075 | − | 0.850603i | −0.179656 | − | 0.983730i | \(-0.557498\pi\) |
−0.991099 | + | 0.133126i | \(0.957498\pi\) | |||||||
\(20\) | −2.18219 | − | 0.487883i | −0.487953 | − | 0.109094i | ||||
\(21\) | −1.60826 | − | 6.04044i | −0.350952 | − | 1.31813i | ||||
\(22\) | 1.53458 | − | 4.72295i | 0.327174 | − | 1.00694i | ||||
\(23\) | −0.0893747 | − | 0.0290396i | −0.0186359 | − | 0.00605518i | 0.299684 | − | 0.954038i | \(-0.403119\pi\) |
−0.318320 | + | 0.947983i | \(0.603119\pi\) | |||||||
\(24\) | −1.61602 | − | 0.623276i | −0.329869 | − | 0.127226i | ||||
\(25\) | −2.40837 | − | 4.38175i | −0.481674 | − | 0.876351i | ||||
\(26\) | 5.91596 | 1.16022 | ||||||||
\(27\) | −0.837276 | + | 5.12825i | −0.161134 | + | 0.986933i | ||||
\(28\) | 2.12129 | + | 2.91970i | 0.400885 | + | 0.551771i | ||||
\(29\) | −5.21829 | − | 3.79131i | −0.969012 | − | 0.704029i | −0.0137859 | − | 0.999905i | \(-0.504388\pi\) |
−0.955226 | + | 0.295876i | \(0.904388\pi\) | |||||||
\(30\) | −1.34409 | − | 3.63228i | −0.245396 | − | 0.663160i | ||||
\(31\) | −4.95361 | + | 2.54200i | −0.889694 | + | 0.456557i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 8.31182 | − | 2.21302i | 1.44690 | − | 0.385237i | ||||
\(34\) | 3.06687 | + | 4.22118i | 0.525963 | + | 0.723926i | ||||
\(35\) | −1.76074 | + | 7.87542i | −0.297620 | + | 1.33119i | ||||
\(36\) | −0.614421 | − | 2.93641i | −0.102403 | − | 0.489401i | ||||
\(37\) | −5.53215 | −0.909479 | −0.454740 | − | 0.890624i | \(-0.650268\pi\) | ||||
−0.454740 | + | 0.890624i | \(0.650268\pi\) | |||||||
\(38\) | 1.94925 | + | 5.99917i | 0.316210 | + | 0.973195i | ||||
\(39\) | 5.56713 | + | 8.60249i | 0.891455 | + | 1.37750i | ||||
\(40\) | 1.47866 | + | 1.67737i | 0.233797 | + | 0.265215i | ||||
\(41\) | 2.84249 | − | 3.91236i | 0.443923 | − | 0.611007i | −0.527155 | − | 0.849769i | \(-0.676741\pi\) |
0.971078 | + | 0.238762i | \(0.0767414\pi\) | |||||||
\(42\) | −2.24937 | + | 5.83214i | −0.347085 | + | 0.899918i | ||||
\(43\) | −2.90637 | − | 2.11160i | −0.443217 | − | 0.322016i | 0.343695 | − | 0.939081i | \(-0.388321\pi\) |
−0.786912 | + | 0.617066i | \(0.788321\pi\) | |||||||
\(44\) | −4.01759 | + | 2.91895i | −0.605674 | + | 0.440048i | ||||
\(45\) | 4.01691 | − | 5.37256i | 0.598806 | − | 0.800894i | ||||
\(46\) | 0.0552366 | + | 0.0760267i | 0.00814420 | + | 0.0112095i | ||||
\(47\) | 1.61393 | − | 1.17259i | 0.235416 | − | 0.171040i | −0.463823 | − | 0.885928i | \(-0.653523\pi\) |
0.699239 | + | 0.714888i | \(0.253523\pi\) | |||||||
\(48\) | 0.941037 | + | 1.45411i | 0.135827 | + | 0.209883i | ||||
\(49\) | 4.87392 | − | 3.54111i | 0.696274 | − | 0.505873i | ||||
\(50\) | −0.627119 | + | 4.96052i | −0.0886881 | + | 0.701523i | ||||
\(51\) | −3.25205 | + | 8.43186i | −0.455378 | + | 1.18070i | ||||
\(52\) | −4.78611 | − | 3.47731i | −0.663714 | − | 0.482217i | ||||
\(53\) | −4.60787 | − | 1.49719i | −0.632940 | − | 0.205655i | −0.0250631 | − | 0.999686i | \(-0.507979\pi\) |
−0.607877 | + | 0.794031i | \(0.707979\pi\) | |||||||
\(54\) | 3.69168 | − | 3.65670i | 0.502374 | − | 0.497614i | ||||
\(55\) | −10.8368 | − | 2.42283i | −1.46123 | − | 0.326694i | ||||
\(56\) | − | 3.60895i | − | 0.482266i | ||||||
\(57\) | −6.88917 | + | 8.47988i | −0.912493 | + | 1.12319i | ||||
\(58\) | 1.99321 | + | 6.13447i | 0.261721 | + | 0.805495i | ||||
\(59\) | −1.50188 | − | 2.06716i | −0.195528 | − | 0.269121i | 0.699984 | − | 0.714158i | \(-0.253190\pi\) |
−0.895512 | + | 0.445037i | \(0.853190\pi\) | |||||||
\(60\) | −1.04761 | + | 3.72861i | −0.135246 | + | 0.481361i | ||||
\(61\) | 12.0548i | 1.54346i | 0.635953 | + | 0.771728i | \(0.280607\pi\) | ||||
−0.635953 | + | 0.771728i | \(0.719393\pi\) | |||||||
\(62\) | 5.50170 | + | 0.855136i | 0.698717 | + | 0.108602i | ||||
\(63\) | −10.5973 | + | 2.21741i | −1.33514 | + | 0.279368i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −1.24431 | − | 13.1698i | −0.154338 | − | 1.63352i | ||||
\(66\) | −8.02518 | − | 3.09520i | −0.987831 | − | 0.380992i | ||||
\(67\) | 8.70224i | 1.06315i | 0.847012 | + | 0.531574i | \(0.178399\pi\) | ||||
−0.847012 | + | 0.531574i | \(0.821601\pi\) | |||||||
\(68\) | − | 5.21766i | − | 0.632735i | ||||||
\(69\) | −0.0585719 | + | 0.151864i | −0.00705122 | + | 0.0182823i | ||||
\(70\) | 6.05353 | − | 5.33641i | 0.723535 | − | 0.637823i | ||||
\(71\) | 0.774655 | + | 0.251701i | 0.0919346 | + | 0.0298714i | 0.354623 | − | 0.935009i | \(-0.384609\pi\) |
−0.262689 | + | 0.964881i | \(0.584609\pi\) | |||||||
\(72\) | −1.22890 | + | 2.73675i | −0.144827 | + | 0.322529i | ||||
\(73\) | −0.739534 | − | 2.27605i | −0.0865559 | − | 0.266392i | 0.898405 | − | 0.439167i | \(-0.144726\pi\) |
−0.984961 | + | 0.172776i | \(0.944726\pi\) | |||||||
\(74\) | 4.47560 | + | 3.25171i | 0.520278 | + | 0.378004i | ||||
\(75\) | −7.80330 | + | 3.75612i | −0.901048 | + | 0.433720i | ||||
\(76\) | 1.94925 | − | 5.99917i | 0.223594 | − | 0.688153i | ||||
\(77\) | 10.5343 | + | 14.4993i | 1.20050 | + | 1.65234i | ||||
\(78\) | 0.552507 | − | 10.2318i | 0.0625591 | − | 1.15853i | ||||
\(79\) | 16.3701 | + | 5.31895i | 1.84178 | + | 0.598429i | 0.998103 | + | 0.0615710i | \(0.0196110\pi\) |
0.843673 | + | 0.536858i | \(0.180389\pi\) | |||||||
\(80\) | −0.210331 | − | 2.22615i | −0.0235157 | − | 0.248892i | ||||
\(81\) | 8.79128 | + | 1.92704i | 0.976808 | + | 0.214115i | ||||
\(82\) | −4.59925 | + | 1.49439i | −0.507902 | + | 0.165027i | ||||
\(83\) | 2.68287 | − | 3.69265i | 0.294483 | − | 0.405321i | −0.635981 | − | 0.771705i | \(-0.719404\pi\) |
0.930464 | + | 0.366384i | \(0.119404\pi\) | |||||||
\(84\) | 5.24782 | − | 3.39615i | 0.572584 | − | 0.370550i | ||||
\(85\) | 8.75194 | − | 7.71516i | 0.949281 | − | 0.836827i | ||||
\(86\) | 1.11013 | + | 3.41664i | 0.119709 | + | 0.368426i | ||||
\(87\) | −7.04454 | + | 8.67111i | −0.755254 | + | 0.929641i | ||||
\(88\) | 4.96601 | 0.529378 | ||||||||
\(89\) | 0.973495 | + | 2.99611i | 0.103190 | + | 0.317587i | 0.989301 | − | 0.145886i | \(-0.0466032\pi\) |
−0.886111 | + | 0.463473i | \(0.846603\pi\) | |||||||
\(90\) | −6.40766 | + | 1.98541i | −0.675427 | + | 0.209281i | ||||
\(91\) | −12.5494 | + | 17.2728i | −1.31554 | + | 1.81068i | ||||
\(92\) | − | 0.0939742i | − | 0.00979748i | ||||||
\(93\) | 3.93384 | + | 8.80482i | 0.407920 | + | 0.913018i | ||||
\(94\) | −1.99493 | −0.205761 | ||||||||
\(95\) | 12.9451 | − | 5.60114i | 1.32814 | − | 0.574665i | ||||
\(96\) | 0.0933927 | − | 1.72953i | 0.00953185 | − | 0.176520i | ||||
\(97\) | −1.22421 | + | 0.397770i | −0.124300 | + | 0.0403874i | −0.370506 | − | 0.928830i | \(-0.620816\pi\) |
0.246207 | + | 0.969217i | \(0.420816\pi\) | |||||||
\(98\) | −6.02449 | −0.608566 | ||||||||
\(99\) | −3.05122 | − | 14.5822i | −0.306659 | − | 1.46557i | ||||
\(100\) | 3.42307 | − | 3.64453i | 0.342307 | − | 0.364453i | ||||
\(101\) | 5.39353 | + | 1.75247i | 0.536677 | + | 0.174377i | 0.564800 | − | 0.825228i | \(-0.308953\pi\) |
−0.0281236 | + | 0.999604i | \(0.508953\pi\) | |||||||
\(102\) | 7.58708 | − | 4.91001i | 0.751233 | − | 0.486164i | ||||
\(103\) | 11.0752 | − | 15.2437i | 1.09127 | − | 1.50200i | 0.244792 | − | 0.969576i | \(-0.421280\pi\) |
0.846477 | − | 0.532426i | \(-0.178720\pi\) | |||||||
\(104\) | 1.82813 | + | 5.62641i | 0.179263 | + | 0.551715i | ||||
\(105\) | 13.4563 | + | 3.78077i | 1.31320 | + | 0.368965i | ||||
\(106\) | 2.84782 | + | 3.91969i | 0.276605 | + | 0.380714i | ||||
\(107\) | −0.903930 | + | 2.78201i | −0.0873862 | + | 0.268947i | −0.985195 | − | 0.171439i | \(-0.945158\pi\) |
0.897809 | + | 0.440386i | \(0.145158\pi\) | |||||||
\(108\) | −5.13599 | + | 0.788420i | −0.494211 | + | 0.0758658i | ||||
\(109\) | −12.2772 | + | 8.91994i | −1.17595 | + | 0.854375i | −0.991709 | − | 0.128506i | \(-0.958982\pi\) |
−0.184238 | + | 0.982882i | \(0.558982\pi\) | |||||||
\(110\) | 7.34305 | + | 8.32982i | 0.700132 | + | 0.794217i | ||||
\(111\) | −0.516662 | + | 9.56802i | −0.0490394 | + | 0.908156i | ||||
\(112\) | −2.12129 | + | 2.91970i | −0.200443 | + | 0.275886i | ||||
\(113\) | 3.37442 | + | 10.3854i | 0.317439 | + | 0.976977i | 0.974739 | + | 0.223348i | \(0.0716986\pi\) |
−0.657300 | + | 0.753629i | \(0.728301\pi\) | |||||||
\(114\) | 10.5578 | − | 2.81101i | 0.988829 | − | 0.263275i | ||||
\(115\) | 0.157629 | − | 0.138956i | 0.0146990 | − | 0.0129577i | ||||
\(116\) | 1.99321 | − | 6.13447i | 0.185065 | − | 0.569571i | ||||
\(117\) | 15.3982 | − | 8.82512i | 1.42356 | − | 0.815883i | ||||
\(118\) | 2.55515i | 0.235220i | ||||||||
\(119\) | −18.8303 | −1.72617 | ||||||||
\(120\) | 3.03915 | − | 2.40074i | 0.277436 | − | 0.219156i | ||||
\(121\) | −11.0522 | + | 8.02988i | −1.00474 | + | 0.729989i | ||||
\(122\) | 7.08562 | − | 9.75251i | 0.641502 | − | 0.882951i | ||||
\(123\) | −6.50107 | − | 5.28156i | −0.586182 | − | 0.476223i | ||||
\(124\) | −3.94834 | − | 3.92564i | −0.354571 | − | 0.352533i | ||||
\(125\) | 11.1748 | + | 0.352714i | 0.999502 | + | 0.0315477i | ||||
\(126\) | 9.87679 | + | 4.43504i | 0.879894 | + | 0.395104i | ||||
\(127\) | −1.53607 | + | 1.11602i | −0.136304 | + | 0.0990309i | −0.653848 | − | 0.756626i | \(-0.726846\pi\) |
0.517544 | + | 0.855657i | \(0.326846\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | −3.92351 | + | 4.82944i | −0.345446 | + | 0.425209i | ||||
\(130\) | −6.73437 | + | 11.3860i | −0.590643 | + | 0.998619i | ||||
\(131\) | 14.5110 | − | 4.71491i | 1.26783 | − | 0.411944i | 0.403554 | − | 0.914956i | \(-0.367775\pi\) |
0.864279 | + | 0.503012i | \(0.167775\pi\) | |||||||
\(132\) | 4.67320 | + | 7.22115i | 0.406749 | + | 0.628520i | ||||
\(133\) | −21.6507 | − | 7.03474i | −1.87735 | − | 0.609989i | ||||
\(134\) | 5.11505 | − | 7.04026i | 0.441873 | − | 0.608186i | ||||
\(135\) | −8.91686 | − | 7.44913i | −0.767441 | − | 0.641119i | ||||
\(136\) | −3.06687 | + | 4.22118i | −0.262982 | + | 0.361963i | ||||
\(137\) | −7.33902 | − | 10.1013i | −0.627015 | − | 0.863012i | 0.370825 | − | 0.928703i | \(-0.379075\pi\) |
−0.997840 | + | 0.0656907i | \(0.979075\pi\) | |||||||
\(138\) | 0.136649 | − | 0.0884331i | 0.0116324 | − | 0.00752793i | ||||
\(139\) | −3.75633 | − | 5.17015i | −0.318608 | − | 0.438526i | 0.619433 | − | 0.785049i | \(-0.287362\pi\) |
−0.938042 | + | 0.346523i | \(0.887362\pi\) | |||||||
\(140\) | −8.03407 | + | 0.759073i | −0.679003 | + | 0.0641534i | ||||
\(141\) | −1.87730 | − | 2.90085i | −0.158097 | − | 0.244296i | ||||
\(142\) | −0.478763 | − | 0.658961i | −0.0401769 | − | 0.0552988i | ||||
\(143\) | −23.7679 | − | 17.2684i | −1.98757 | − | 1.44405i | ||||
\(144\) | 2.60282 | − | 1.49175i | 0.216902 | − | 0.124312i | ||||
\(145\) | 13.2370 | − | 5.72746i | 1.09928 | − | 0.475640i | ||||
\(146\) | −0.739534 | + | 2.27605i | −0.0612043 | + | 0.188367i | ||||
\(147\) | −5.66927 | − | 8.76031i | −0.467593 | − | 0.722538i | ||||
\(148\) | −1.70953 | − | 5.26138i | −0.140522 | − | 0.432483i | ||||
\(149\) | 17.2308i | 1.41160i | 0.708412 | + | 0.705800i | \(0.249412\pi\) | ||||
−0.708412 | + | 0.705800i | \(0.750588\pi\) | |||||||
\(150\) | 8.52080 | + | 1.54790i | 0.695720 | + | 0.126385i | ||||
\(151\) | 11.2981 | − | 3.67096i | 0.919423 | − | 0.298739i | 0.189193 | − | 0.981940i | \(-0.439413\pi\) |
0.730230 | + | 0.683201i | \(0.239413\pi\) | |||||||
\(152\) | −5.10320 | + | 3.70769i | −0.413924 | + | 0.300734i | ||||
\(153\) | 14.2794 | + | 6.41199i | 1.15442 | + | 0.518379i | ||||
\(154\) | − | 17.9221i | − | 1.44420i | ||||||
\(155\) | 0.746487 | − | 12.4275i | 0.0599593 | − | 0.998201i | ||||
\(156\) | −6.46111 | + | 7.95297i | −0.517303 | + | 0.636748i | ||||
\(157\) | 2.26721 | − | 3.12055i | 0.180943 | − | 0.249047i | −0.708905 | − | 0.705304i | \(-0.750810\pi\) |
0.889848 | + | 0.456258i | \(0.150810\pi\) | |||||||
\(158\) | −10.1173 | − | 13.9252i | −0.804885 | − | 1.10783i | ||||
\(159\) | −3.01978 | + | 7.82964i | −0.239484 | + | 0.620931i | ||||
\(160\) | −1.13834 | + | 1.92463i | −0.0899936 | + | 0.152155i | ||||
\(161\) | −0.339148 | −0.0267286 | ||||||||
\(162\) | −5.97961 | − | 6.72639i | −0.469802 | − | 0.528475i | ||||
\(163\) | −14.0952 | − | 4.57981i | −1.10402 | − | 0.358719i | −0.300373 | − | 0.953822i | \(-0.597111\pi\) |
−0.803649 | + | 0.595103i | \(0.797111\pi\) | |||||||
\(164\) | 4.59925 | + | 1.49439i | 0.359141 | + | 0.116692i | ||||
\(165\) | −5.20244 | + | 18.5163i | −0.405009 | + | 1.44149i | ||||
\(166\) | −4.34097 | + | 1.41047i | −0.336925 | + | 0.109473i | ||||
\(167\) | −12.3171 | + | 16.9530i | −0.953125 | + | 1.31186i | −0.00299945 | + | 0.999996i | \(0.500955\pi\) |
−0.950125 | + | 0.311868i | \(0.899045\pi\) | |||||||
\(168\) | −6.24179 | − | 0.337049i | −0.481564 | − | 0.0260039i | ||||
\(169\) | 6.79794 | − | 20.9219i | 0.522918 | − | 1.60938i | ||||
\(170\) | −11.6153 | + | 1.09744i | −0.890855 | + | 0.0841695i | ||||
\(171\) | 14.0228 | + | 12.7070i | 1.07235 | + | 0.971728i | ||||
\(172\) | 1.11013 | − | 3.41664i | 0.0846468 | − | 0.260516i | ||||
\(173\) | −0.902895 | + | 0.655992i | −0.0686459 | + | 0.0498741i | −0.621579 | − | 0.783352i | \(-0.713509\pi\) |
0.552933 | + | 0.833226i | \(0.313509\pi\) | |||||||
\(174\) | 10.7959 | − | 2.87440i | 0.818435 | − | 0.217908i | ||||
\(175\) | −13.1529 | − | 12.3537i | −0.994267 | − | 0.933850i | ||||
\(176\) | −4.01759 | − | 2.91895i | −0.302837 | − | 0.220024i | ||||
\(177\) | −3.71548 | + | 2.40449i | −0.279272 | + | 0.180732i | ||||
\(178\) | 0.973495 | − | 2.99611i | 0.0729665 | − | 0.224568i | ||||
\(179\) | −2.59135 | − | 7.97536i | −0.193687 | − | 0.596106i | −0.999989 | − | 0.00460314i | \(-0.998535\pi\) |
0.806303 | − | 0.591503i | \(-0.201465\pi\) | |||||||
\(180\) | 6.35090 | + | 2.16010i | 0.473368 | + | 0.161004i | ||||
\(181\) | − | 14.7770i | − | 1.09837i | −0.835702 | − | 0.549183i | \(-0.814939\pi\) | ||
0.835702 | − | 0.549183i | \(-0.185061\pi\) | |||||||
\(182\) | 20.3054 | − | 6.59763i | 1.50514 | − | 0.489049i | ||||
\(183\) | 20.8491 | + | 1.12583i | 1.54121 | + | 0.0832235i | ||||
\(184\) | −0.0552366 | + | 0.0760267i | −0.00407210 | + | 0.00560476i | ||||
\(185\) | 6.29746 | − | 10.6473i | 0.462998 | − | 0.782806i | ||||
\(186\) | 1.99280 | − | 9.43550i | 0.146119 | − | 0.691845i | ||||
\(187\) | − | 25.9110i | − | 1.89480i | ||||||
\(188\) | 1.61393 | + | 1.17259i | 0.117708 | + | 0.0855198i | ||||
\(189\) | 2.84537 | + | 18.5355i | 0.206970 | + | 1.34826i | ||||
\(190\) | −13.7651 | − | 3.07752i | −0.998623 | − | 0.223267i | ||||
\(191\) | 26.5140i | 1.91849i | 0.282580 | + | 0.959244i | \(0.408810\pi\) | ||||
−0.282580 | + | 0.959244i | \(0.591190\pi\) | |||||||
\(192\) | −1.09215 | + | 1.34433i | −0.0788191 | + | 0.0970183i | ||||
\(193\) | −0.431359 | + | 0.140157i | −0.0310499 | + | 0.0100887i | −0.324501 | − | 0.945885i | \(-0.605196\pi\) |
0.293451 | + | 0.955974i | \(0.405196\pi\) | |||||||
\(194\) | 1.22421 | + | 0.397770i | 0.0878931 | + | 0.0285582i | ||||
\(195\) | −22.8939 | + | 0.922105i | −1.63946 | + | 0.0660333i | ||||
\(196\) | 4.87392 | + | 3.54111i | 0.348137 | + | 0.252936i | ||||
\(197\) | −13.3435 | + | 4.33557i | −0.950685 | + | 0.308896i | −0.742994 | − | 0.669298i | \(-0.766595\pi\) |
−0.207691 | + | 0.978194i | \(0.566595\pi\) | |||||||
\(198\) | −6.10273 | + | 13.5907i | −0.433702 | + | 0.965851i | ||||
\(199\) | −7.65203 | − | 10.5321i | −0.542438 | − | 0.746602i | 0.446524 | − | 0.894772i | \(-0.352662\pi\) |
−0.988962 | + | 0.148170i | \(0.952662\pi\) | |||||||
\(200\) | −4.91152 | + | 0.936458i | −0.347297 | + | 0.0662176i | ||||
\(201\) | 15.0508 | + | 0.812725i | 1.06160 | + | 0.0573252i | ||||
\(202\) | −3.33339 | − | 4.58801i | −0.234536 | − | 0.322812i | ||||
\(203\) | −22.1390 | − | 7.19339i | −1.55385 | − | 0.504877i | ||||
\(204\) | −9.02411 | − | 0.487292i | −0.631814 | − | 0.0341172i | ||||
\(205\) | 4.29410 | + | 9.92432i | 0.299913 | + | 0.693145i | ||||
\(206\) | −17.9200 | + | 5.82256i | −1.24854 | + | 0.405677i | ||||
\(207\) | 0.257184 | + | 0.115485i | 0.0178755 | + | 0.00802675i | ||||
\(208\) | 1.82813 | − | 5.62641i | 0.126758 | − | 0.390121i | ||||
\(209\) | 9.67999 | − | 29.7920i | 0.669579 | − | 2.06075i | ||||
\(210\) | −8.66413 | − | 10.9681i | −0.597882 | − | 0.756874i | ||||
\(211\) | 1.64266 | 0.113086 | 0.0565428 | − | 0.998400i | \(-0.481992\pi\) | ||||
0.0565428 | + | 0.998400i | \(0.481992\pi\) | |||||||
\(212\) | − | 4.84501i | − | 0.332756i | ||||||
\(213\) | 0.507671 | − | 1.31628i | 0.0347851 | − | 0.0901902i | ||||
\(214\) | 2.36652 | − | 1.71938i | 0.161772 | − | 0.117534i | ||||
\(215\) | 7.37247 | − | 3.18995i | 0.502798 | − | 0.217553i | ||||
\(216\) | 4.61853 | + | 2.38101i | 0.314251 | + | 0.162007i | ||||
\(217\) | −14.1674 | + | 14.2493i | −0.961747 | + | 0.967308i | ||||
\(218\) | 15.1755 | 1.02782 | ||||||||
\(219\) | −4.00557 | + | 1.06648i | −0.270671 | + | 0.0720661i | ||||
\(220\) | −1.04451 | − | 11.0551i | −0.0704205 | − | 0.745335i | ||||
\(221\) | 29.3567 | − | 9.53858i | 1.97475 | − | 0.641634i | ||||
\(222\) | 6.04193 | − | 7.43700i | 0.405508 | − | 0.499139i | ||||
\(223\) | 0.917076 | 0.0614119 | 0.0307060 | − | 0.999528i | \(-0.490224\pi\) | ||||
0.0307060 | + | 0.999528i | \(0.490224\pi\) | |||||||
\(224\) | 3.43231 | − | 1.11523i | 0.229331 | − | 0.0745142i | ||||
\(225\) | 5.76756 | + | 13.8468i | 0.384504 | + | 0.923123i | ||||
\(226\) | 3.37442 | − | 10.3854i | 0.224463 | − | 0.690827i | ||||
\(227\) | −0.173417 | − | 0.125995i | −0.0115101 | − | 0.00836258i | 0.582015 | − | 0.813178i | \(-0.302264\pi\) |
−0.593525 | + | 0.804815i | \(0.702264\pi\) | |||||||
\(228\) | −10.1937 | − | 3.93157i | −0.675095 | − | 0.260374i | ||||
\(229\) | −0.457332 | + | 0.629463i | −0.0302213 | + | 0.0415961i | −0.823860 | − | 0.566793i | \(-0.808184\pi\) |
0.793639 | + | 0.608389i | \(0.208184\pi\) | |||||||
\(230\) | −0.209201 | + | 0.0197657i | −0.0137943 | + | 0.00130331i | ||||
\(231\) | 26.0607 | − | 16.8653i | 1.71467 | − | 1.10966i | ||||
\(232\) | −5.21829 | + | 3.79131i | −0.342598 | + | 0.248912i | ||||
\(233\) | 2.11696 | − | 1.53806i | 0.138687 | − | 0.100762i | −0.516279 | − | 0.856421i | \(-0.672683\pi\) |
0.654966 | + | 0.755659i | \(0.272683\pi\) | |||||||
\(234\) | −17.6447 | − | 1.91116i | −1.15347 | − | 0.124936i | ||||
\(235\) | 0.419595 | + | 4.44101i | 0.0273713 | + | 0.289700i | ||||
\(236\) | 1.50188 | − | 2.06716i | 0.0977639 | − | 0.134560i | ||||
\(237\) | 10.7281 | − | 27.8158i | 0.696868 | − | 1.80683i | ||||
\(238\) | 15.2340 | + | 11.0682i | 0.987474 | + | 0.717442i | ||||
\(239\) | −3.74441 | + | 11.5241i | −0.242205 | + | 0.745432i | 0.753878 | + | 0.657014i | \(0.228181\pi\) |
−0.996084 | + | 0.0884174i | \(0.971819\pi\) | |||||||
\(240\) | −3.86985 | + | 0.155867i | −0.249797 | + | 0.0100612i | ||||
\(241\) | 2.57354 | − | 0.836195i | 0.165776 | − | 0.0538640i | −0.224953 | − | 0.974370i | \(-0.572223\pi\) |
0.390729 | + | 0.920506i | \(0.372223\pi\) | |||||||
\(242\) | 13.6612 | 0.878178 | ||||||||
\(243\) | 4.15391 | − | 15.0248i | 0.266473 | − | 0.963842i | ||||
\(244\) | −11.4648 | + | 3.72513i | −0.733957 | + | 0.238477i | ||||
\(245\) | 1.26714 | + | 13.4115i | 0.0809544 | + | 0.856826i | ||||
\(246\) | 2.15505 | + | 8.09411i | 0.137401 | + | 0.516062i | ||||
\(247\) | 37.3173 | 2.37444 | ||||||||
\(248\) | 0.886837 | + | 5.49668i | 0.0563142 | + | 0.349040i | ||||
\(249\) | −6.13599 | − | 4.98497i | −0.388853 | − | 0.315910i | ||||
\(250\) | −8.83326 | − | 6.85372i | −0.558665 | − | 0.433467i | ||||
\(251\) | 4.99529 | − | 3.62929i | 0.315300 | − | 0.229079i | −0.418867 | − | 0.908047i | \(-0.637573\pi\) |
0.734167 | + | 0.678969i | \(0.237573\pi\) | |||||||
\(252\) | −5.38364 | − | 9.39345i | −0.339137 | − | 0.591732i | ||||
\(253\) | − | 0.466677i | − | 0.0293397i | ||||||
\(254\) | 1.89869 | 0.119134 | ||||||||
\(255\) | −12.5262 | − | 15.8573i | −0.784424 | − | 0.993022i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −3.27238 | + | 10.0713i | −0.204125 | + | 0.628234i | 0.795623 | + | 0.605792i | \(0.207144\pi\) |
−0.999748 | + | 0.0224411i | \(0.992856\pi\) | |||||||
\(258\) | 6.01286 | − | 1.60092i | 0.374344 | − | 0.0996690i | ||||
\(259\) | −18.9880 | + | 6.16959i | −1.17986 | + | 0.383360i | ||||
\(260\) | 12.1407 | − | 5.25311i | 0.752937 | − | 0.325784i | ||||
\(261\) | 14.3391 | + | 12.9936i | 0.887565 | + | 0.804282i | ||||
\(262\) | −14.5110 | − | 4.71491i | −0.896493 | − | 0.291288i | ||||
\(263\) | 11.9232 | + | 16.4108i | 0.735214 | + | 1.01193i | 0.998880 | + | 0.0473208i | \(0.0150683\pi\) |
−0.263666 | + | 0.964614i | \(0.584932\pi\) | |||||||
\(264\) | 0.463789 | − | 8.58887i | 0.0285442 | − | 0.528608i | ||||
\(265\) | 8.12685 | − | 7.16412i | 0.499229 | − | 0.440089i | ||||
\(266\) | 13.3809 | + | 18.4172i | 0.820434 | + | 1.12923i | ||||
\(267\) | 5.27278 | − | 1.40388i | 0.322689 | − | 0.0859158i | ||||
\(268\) | −8.27632 | + | 2.68914i | −0.505557 | + | 0.164265i | ||||
\(269\) | −2.17982 | − | 1.58373i | −0.132906 | − | 0.0965619i | 0.519346 | − | 0.854564i | \(-0.326176\pi\) |
−0.652252 | + | 0.758002i | \(0.726176\pi\) | |||||||
\(270\) | 2.83540 | + | 11.2677i | 0.172557 | + | 0.685729i | ||||
\(271\) | −5.14614 | − | 1.67208i | −0.312606 | − | 0.101572i | 0.148512 | − | 0.988911i | \(-0.452552\pi\) |
−0.461118 | + | 0.887339i | \(0.652552\pi\) | |||||||
\(272\) | 4.96229 | − | 1.61235i | 0.300883 | − | 0.0977629i | ||||
\(273\) | 28.7019 | + | 23.3178i | 1.73712 | + | 1.41126i | ||||
\(274\) | 12.4859i | 0.754300i | ||||||||
\(275\) | 16.9990 | − | 18.0988i | 1.02508 | − | 1.09140i | ||||
\(276\) | −0.162531 | − | 0.00877650i | −0.00978323 | − | 0.000528283i | ||||
\(277\) | 20.1450 | + | 14.6362i | 1.21039 | + | 0.879403i | 0.995266 | − | 0.0971835i | \(-0.0309834\pi\) |
0.215127 | + | 0.976586i | \(0.430983\pi\) | |||||||
\(278\) | 6.39066i | 0.383286i | ||||||||
\(279\) | 15.5956 | − | 5.98139i | 0.933685 | − | 0.358096i | ||||
\(280\) | 6.94587 | + | 4.10820i | 0.415095 | + | 0.245512i | ||||
\(281\) | −4.08990 | + | 5.62927i | −0.243983 | + | 0.335814i | −0.913393 | − | 0.407080i | \(-0.866547\pi\) |
0.669409 | + | 0.742894i | \(0.266547\pi\) | |||||||
\(282\) | −0.186312 | + | 3.45029i | −0.0110947 | + | 0.205462i | ||||
\(283\) | −0.282524 | + | 0.0917976i | −0.0167943 | + | 0.00545680i | −0.317402 | − | 0.948291i | \(-0.602810\pi\) |
0.300608 | + | 0.953748i | \(0.402810\pi\) | |||||||
\(284\) | 0.814520i | 0.0483329i | ||||||||
\(285\) | −8.47837 | − | 22.9121i | −0.502215 | − | 1.35719i | ||||
\(286\) | 9.07852 | + | 27.9408i | 0.536824 | + | 1.65217i | ||||
\(287\) | 5.39316 | − | 16.5984i | 0.318348 | − | 0.979775i | ||||
\(288\) | −2.98256 | − | 0.323051i | −0.175749 | − | 0.0190360i | ||||
\(289\) | 8.27141 | + | 6.00953i | 0.486554 | + | 0.353502i | ||||
\(290\) | −14.0755 | − | 3.14692i | −0.826542 | − | 0.184794i | ||||
\(291\) | 0.573623 | + | 2.15446i | 0.0336264 | + | 0.126296i | ||||
\(292\) | 1.93613 | − | 1.40668i | 0.113303 | − | 0.0823196i | ||||
\(293\) | 7.02650 | − | 21.6253i | 0.410493 | − | 1.26337i | −0.505728 | − | 0.862693i | \(-0.668776\pi\) |
0.916221 | − | 0.400673i | \(-0.131224\pi\) | |||||||
\(294\) | −0.562644 | + | 10.4196i | −0.0328140 | + | 0.607681i | ||||
\(295\) | 5.68815 | − | 0.537426i | 0.331177 | − | 0.0312902i | ||||
\(296\) | −1.70953 | + | 5.26138i | −0.0993642 | + | 0.305812i | ||||
\(297\) | −25.5054 | + | 3.91530i | −1.47997 | + | 0.227189i | ||||
\(298\) | 10.1280 | − | 13.9400i | 0.586699 | − | 0.807521i | ||||
\(299\) | 0.528737 | − | 0.171797i | 0.0305777 | − | 0.00993529i | ||||
\(300\) | −5.98364 | − | 6.26068i | −0.345466 | − | 0.361460i | ||||
\(301\) | −12.3305 | − | 4.00641i | −0.710716 | − | 0.230926i | ||||
\(302\) | −11.2981 | − | 3.67096i | −0.650130 | − | 0.211240i | ||||
\(303\) | 3.53466 | − | 9.16462i | 0.203061 | − | 0.526494i | ||||
\(304\) | 6.30791 | 0.361783 | ||||||||
\(305\) | −23.2009 | − | 13.7224i | −1.32848 | − | 0.785743i | ||||
\(306\) | −7.78344 | − | 13.5807i | −0.444950 | − | 0.776355i | ||||
\(307\) | −15.4870 | − | 21.3160i | −0.883888 | − | 1.21657i | −0.975329 | − | 0.220756i | \(-0.929147\pi\) |
0.0914415 | − | 0.995810i | \(-0.470853\pi\) | |||||||
\(308\) | −10.5343 | + | 14.4993i | −0.600249 | + | 0.826171i | ||||
\(309\) | −25.3300 | − | 20.5785i | −1.44098 | − | 1.17067i | ||||
\(310\) | −7.90862 | + | 9.61528i | −0.449180 | + | 0.546111i | ||||
\(311\) | − | 29.4053i | − | 1.66742i | −0.552203 | − | 0.833710i | \(-0.686213\pi\) | ||
0.552203 | − | 0.833710i | \(-0.313787\pi\) | |||||||
\(312\) | 9.90179 | − | 2.63635i | 0.560578 | − | 0.149254i | ||||
\(313\) | −19.6207 | + | 14.2553i | −1.10903 | + | 0.805755i | −0.982510 | − | 0.186210i | \(-0.940380\pi\) |
−0.126516 | + | 0.991965i | \(0.540380\pi\) | |||||||
\(314\) | −3.66842 | + | 1.19194i | −0.207021 | + | 0.0672652i | ||||
\(315\) | 7.79568 | − | 22.9201i | 0.439237 | − | 1.29140i | ||||
\(316\) | 17.2125i | 0.968279i | ||||||||
\(317\) | 3.38445 | + | 10.4163i | 0.190090 | + | 0.585035i | 0.999999 | − | 0.00151971i | \(-0.000483739\pi\) |
−0.809909 | + | 0.586555i | \(0.800484\pi\) | |||||||
\(318\) | 7.04520 | − | 4.55933i | 0.395075 | − | 0.255674i | ||||
\(319\) | 9.89829 | − | 30.4638i | 0.554198 | − | 1.70565i | ||||
\(320\) | 2.05220 | − | 0.887956i | 0.114722 | − | 0.0496382i | ||||
\(321\) | 4.72715 | + | 1.82319i | 0.263844 | + | 0.101761i | ||||
\(322\) | 0.274376 | + | 0.199346i | 0.0152904 | + | 0.0111091i | ||||
\(323\) | 19.3455 | + | 26.6268i | 1.07641 | + | 1.48155i | ||||
\(324\) | 0.883934 | + | 8.95649i | 0.0491074 | + | 0.497583i | ||||
\(325\) | 26.7635 | + | 12.5969i | 1.48457 | + | 0.698751i | ||||
\(326\) | 8.71132 | + | 11.9901i | 0.482475 | + | 0.664070i | ||||
\(327\) | 14.2807 | + | 22.0669i | 0.789725 | + | 1.22030i | ||||
\(328\) | −2.84249 | − | 3.91236i | −0.156950 | − | 0.216024i | ||||
\(329\) | 4.23181 | − | 5.82459i | 0.233307 | − | 0.321120i | ||||
\(330\) | 15.0925 | − | 11.9221i | 0.830813 | − | 0.656289i | ||||
\(331\) | −19.5733 | + | 26.9404i | −1.07585 | + | 1.48078i | −0.211836 | + | 0.977305i | \(0.567944\pi\) |
−0.864011 | + | 0.503472i | \(0.832056\pi\) | |||||||
\(332\) | 4.34097 | + | 1.41047i | 0.238242 | + | 0.0774094i | ||||
\(333\) | 16.4999 | + | 1.78717i | 0.904191 | + | 0.0979361i | ||||
\(334\) | 19.9295 | − | 6.47548i | 1.09049 | − | 0.354322i | ||||
\(335\) | −16.7485 | − | 9.90610i | −0.915071 | − | 0.541228i | ||||
\(336\) | 4.85160 | + | 3.94151i | 0.264676 | + | 0.215027i | ||||
\(337\) | −2.49129 | − | 7.66740i | −0.135709 | − | 0.417670i | 0.859990 | − | 0.510310i | \(-0.170469\pi\) |
−0.995700 | + | 0.0926401i | \(0.970469\pi\) | |||||||
\(338\) | −17.7972 | + | 12.9304i | −0.968041 | + | 0.703323i | ||||
\(339\) | 18.2770 | − | 4.86625i | 0.992672 | − | 0.264298i | ||||
\(340\) | 10.0421 | + | 5.93947i | 0.544607 | + | 0.322113i | ||||
\(341\) | −19.6075 | − | 19.4948i | −1.06180 | − | 1.05570i | ||||
\(342\) | −3.87571 | − | 18.5226i | −0.209574 | − | 1.00159i | ||||
\(343\) | −2.06933 | + | 2.84818i | −0.111733 | + | 0.153787i | ||||
\(344\) | −2.90637 | + | 2.11160i | −0.156701 | + | 0.113850i | ||||
\(345\) | −0.225607 | − | 0.285602i | −0.0121463 | − | 0.0153763i | ||||
\(346\) | 1.11604 | 0.0599987 | ||||||||
\(347\) | 5.39078i | 0.289392i | 0.989476 | + | 0.144696i | \(0.0462205\pi\) | ||||
−0.989476 | + | 0.144696i | \(0.953780\pi\) | |||||||
\(348\) | −10.4236 | − | 4.02023i | −0.558764 | − | 0.215507i | ||||
\(349\) | 9.39068 | − | 28.9016i | 0.502672 | − | 1.54706i | −0.301978 | − | 0.953315i | \(-0.597647\pi\) |
0.804650 | − | 0.593750i | \(-0.202353\pi\) | |||||||
\(350\) | 3.37963 | + | 17.7254i | 0.180649 | + | 0.947464i | ||||
\(351\) | −13.8252 | − | 27.4559i | −0.737937 | − | 1.46549i | ||||
\(352\) | 1.53458 | + | 4.72295i | 0.0817934 | + | 0.251734i | ||||
\(353\) | −10.1043 | + | 13.9073i | −0.537796 | + | 0.740213i | −0.988293 | − | 0.152565i | \(-0.951247\pi\) |
0.450497 | + | 0.892778i | \(0.351247\pi\) | |||||||
\(354\) | 4.41921 | + | 0.238632i | 0.234878 | + | 0.0126831i | ||||
\(355\) | −1.36625 | + | 1.20440i | −0.0725130 | + | 0.0639229i | ||||
\(356\) | −2.54864 | + | 1.85170i | −0.135078 | + | 0.0981398i | ||||
\(357\) | −1.75861 | + | 32.5675i | −0.0930755 | + | 1.72366i | ||||
\(358\) | −2.59135 | + | 7.97536i | −0.136957 | + | 0.421511i | ||||
\(359\) | −2.33260 | − | 3.21054i | −0.123110 | − | 0.169446i | 0.743014 | − | 0.669276i | \(-0.233396\pi\) |
−0.866123 | + | 0.499830i | \(0.833396\pi\) | |||||||
\(360\) | −3.86832 | − | 5.48052i | −0.203878 | − | 0.288849i | ||||
\(361\) | 6.42436 | + | 19.7722i | 0.338124 | + | 1.04064i | ||||
\(362\) | −8.68570 | + | 11.9548i | −0.456510 | + | 0.628332i | ||||
\(363\) | 12.8557 | + | 19.8650i | 0.674751 | + | 1.04264i | ||||
\(364\) | −20.3054 | − | 6.59763i | −1.06429 | − | 0.345810i | ||||
\(365\) | 5.22239 | + | 1.16759i | 0.273352 | + | 0.0611146i | ||||
\(366\) | −16.2055 | − | 13.1656i | −0.847077 | − | 0.688177i | ||||
\(367\) | 3.58149 | 0.186952 | 0.0934762 | − | 0.995622i | \(-0.470202\pi\) | ||||
0.0934762 | + | 0.995622i | \(0.470202\pi\) | |||||||
\(368\) | 0.0893747 | − | 0.0290396i | 0.00465898 | − | 0.00151379i | ||||
\(369\) | −9.74178 | + | 10.7505i | −0.507137 | + | 0.559651i | ||||
\(370\) | −11.3531 | + | 4.91230i | −0.590219 | + | 0.255378i | ||||
\(371\) | −17.4854 | −0.907795 | ||||||||
\(372\) | −7.15826 | + | 6.46214i | −0.371139 | + | 0.335046i | ||||
\(373\) | 6.05061i | 0.313288i | 0.987655 | + | 0.156644i | \(0.0500676\pi\) | ||||
−0.987655 | + | 0.156644i | \(0.949932\pi\) | |||||||
\(374\) | −15.2301 | + | 20.9624i | −0.787529 | + | 1.08394i | ||||
\(375\) | 1.65367 | − | 19.2942i | 0.0853953 | − | 0.996347i | ||||
\(376\) | −0.616466 | − | 1.89729i | −0.0317918 | − | 0.0978452i | ||||
\(377\) | 38.1589 | 1.96528 | ||||||||
\(378\) | 8.59295 | − | 16.6680i | 0.441974 | − | 0.857310i | ||||
\(379\) | 3.47466 | + | 10.6939i | 0.178481 | + | 0.549308i | 0.999775 | − | 0.0211966i | \(-0.00674759\pi\) |
−0.821294 | + | 0.570505i | \(0.806748\pi\) | |||||||
\(380\) | 9.32726 | + | 10.5807i | 0.478478 | + | 0.542777i | ||||
\(381\) | 1.78674 | + | 2.76091i | 0.0915373 | + | 0.141446i | ||||
\(382\) | 15.5846 | − | 21.4503i | 0.797375 | − | 1.09749i | ||||
\(383\) | −30.6454 | + | 9.95728i | −1.56590 | + | 0.508793i | −0.958377 | − | 0.285505i | \(-0.907839\pi\) |
−0.607527 | + | 0.794299i | \(0.707839\pi\) | |||||||
\(384\) | 1.67374 | − | 0.445633i | 0.0854128 | − | 0.0227411i | ||||
\(385\) | −39.8973 | + | 3.76956i | −2.03335 | + | 0.192115i | ||||
\(386\) | 0.431359 | + | 0.140157i | 0.0219556 | + | 0.00713380i | ||||
\(387\) | 7.98624 | + | 7.23686i | 0.405964 | + | 0.367870i | ||||
\(388\) | −0.756603 | − | 1.04137i | −0.0384107 | − | 0.0528678i | ||||
\(389\) | −6.10415 | + | 18.7867i | −0.309493 | + | 0.952521i | 0.668469 | + | 0.743740i | \(0.266950\pi\) |
−0.977962 | + | 0.208781i | \(0.933050\pi\) | |||||||
\(390\) | 19.0635 | + | 12.7107i | 0.965319 | + | 0.643630i | ||||
\(391\) | 0.396682 | + | 0.288206i | 0.0200611 | + | 0.0145752i | ||||
\(392\) | −1.86167 | − | 5.72963i | −0.0940286 | − | 0.289390i | ||||
\(393\) | −6.79937 | − | 25.5376i | −0.342983 | − | 1.28820i | ||||
\(394\) | 13.3435 | + | 4.33557i | 0.672236 | + | 0.218423i | ||||
\(395\) | −28.8717 | + | 25.4515i | −1.45269 | + | 1.28060i | ||||
\(396\) | 12.9256 | − | 7.40804i | 0.649538 | − | 0.372268i | ||||
\(397\) | 25.3608i | 1.27282i | 0.771350 | + | 0.636411i | \(0.219582\pi\) | ||||
−0.771350 | + | 0.636411i | \(0.780418\pi\) | |||||||
\(398\) | 13.0184i | 0.652554i | ||||||||
\(399\) | −14.1888 | + | 36.7886i | −0.710329 | + | 1.84173i | ||||
\(400\) | 4.52394 | + | 2.12931i | 0.226197 | + | 0.106465i | ||||
\(401\) | −7.35458 | − | 5.34342i | −0.367270 | − | 0.266838i | 0.388808 | − | 0.921319i | \(-0.372887\pi\) |
−0.756078 | + | 0.654481i | \(0.772887\pi\) | |||||||
\(402\) | −11.6986 | − | 9.50414i | −0.583475 | − | 0.474023i | ||||
\(403\) | 14.8692 | − | 29.3915i | 0.740687 | − | 1.46410i | ||||
\(404\) | 5.67110i | 0.282148i | ||||||||
\(405\) | −13.7163 | + | 14.7263i | −0.681567 | + | 0.731756i | ||||
\(406\) | 13.6826 | + | 18.8325i | 0.679058 | + | 0.934643i | ||||
\(407\) | −8.48953 | − | 26.1281i | −0.420810 | − | 1.29512i | ||||
\(408\) | 7.01424 | + | 5.69847i | 0.347257 | + | 0.282116i | ||||
\(409\) | 8.20061i | 0.405494i | 0.979231 | + | 0.202747i | \(0.0649869\pi\) | ||||
−0.979231 | + | 0.202747i | \(0.935013\pi\) | |||||||
\(410\) | 2.35937 | − | 10.5530i | 0.116521 | − | 0.521173i | ||||
\(411\) | −18.1559 | + | 11.7497i | −0.895565 | + | 0.579569i | ||||
\(412\) | 17.9200 | + | 5.82256i | 0.882854 | + | 0.286857i | ||||
\(413\) | −7.46026 | − | 5.42020i | −0.367095 | − | 0.266710i | ||||
\(414\) | −0.140186 | − | 0.244598i | −0.00688976 | − | 0.0120213i | ||||
\(415\) | 4.05296 | + | 9.36700i | 0.198952 | + | 0.459808i | ||||
\(416\) | −4.78611 | + | 3.47731i | −0.234658 | + | 0.170489i | ||||
\(417\) | −9.29275 | + | 6.01384i | −0.455068 | + | 0.294499i | ||||
\(418\) | −25.3425 | + | 18.4124i | −1.23954 | + | 0.900582i | ||||
\(419\) | −4.96693 | − | 6.83640i | −0.242651 | − | 0.333980i | 0.670270 | − | 0.742117i | \(-0.266178\pi\) |
−0.912920 | + | 0.408138i | \(0.866178\pi\) | |||||||
\(420\) | 0.562517 | + | 13.9661i | 0.0274480 | + | 0.681474i | ||||
\(421\) | −4.03613 | + | 2.93242i | −0.196709 | + | 0.142918i | −0.681780 | − | 0.731557i | \(-0.738794\pi\) |
0.485071 | + | 0.874475i | \(0.338794\pi\) | |||||||
\(422\) | −1.32894 | − | 0.965534i | −0.0646919 | − | 0.0470014i | ||||
\(423\) | −5.19244 | + | 2.97593i | −0.252465 | + | 0.144695i | ||||
\(424\) | −2.84782 | + | 3.91969i | −0.138303 | + | 0.190357i | ||||
\(425\) | 4.88612 | + | 25.6267i | 0.237012 | + | 1.24308i | ||||
\(426\) | −1.18441 | + | 0.766493i | −0.0573847 | + | 0.0371367i | ||||
\(427\) | 13.4438 | + | 41.3757i | 0.650591 | + | 2.00231i | ||||
\(428\) | −2.92518 | −0.141394 | ||||||||
\(429\) | −32.0859 | + | 39.4945i | −1.54912 | + | 1.90681i | ||||
\(430\) | −7.83946 | − | 1.75270i | −0.378052 | − | 0.0845228i | ||||
\(431\) | −3.85046 | − | 5.29970i | −0.185470 | − | 0.255277i | 0.706150 | − | 0.708062i | \(-0.250430\pi\) |
−0.891620 | + | 0.452785i | \(0.850430\pi\) | |||||||
\(432\) | −2.33694 | − | 4.64098i | −0.112436 | − | 0.223289i | ||||
\(433\) | 0.766502 | 0.0368357 | 0.0184179 | − | 0.999830i | \(-0.494137\pi\) | ||||
0.0184179 | + | 0.999830i | \(0.494137\pi\) | |||||||
\(434\) | 19.8372 | − | 3.20055i | 0.952218 | − | 0.153631i | ||||
\(435\) | −8.66958 | − | 23.4288i | −0.415674 | − | 1.12332i | ||||
\(436\) | −12.2772 | − | 8.91994i | −0.587973 | − | 0.427188i | ||||
\(437\) | 0.348427 | + | 0.479569i | 0.0166675 | + | 0.0229409i | ||||
\(438\) | 3.86744 | + | 1.49161i | 0.184793 | + | 0.0712721i | ||||
\(439\) | 29.7316 | 1.41901 | 0.709506 | − | 0.704700i | \(-0.248918\pi\) | ||||
0.709506 | + | 0.704700i | \(0.248918\pi\) | |||||||
\(440\) | −5.65300 | + | 9.55771i | −0.269496 | + | 0.455646i | ||||
\(441\) | −15.6807 | + | 8.98703i | −0.746700 | + | 0.427954i | ||||
\(442\) | −29.3567 | − | 9.53858i | −1.39636 | − | 0.453704i | ||||
\(443\) | −7.94982 | + | 24.4670i | −0.377707 | + | 1.16246i | 0.563926 | + | 0.825825i | \(0.309290\pi\) |
−0.941634 | + | 0.336639i | \(0.890710\pi\) | |||||||
\(444\) | −9.25938 | + | 2.46531i | −0.439431 | + | 0.116998i | ||||
\(445\) | −6.87456 | − | 1.53698i | −0.325885 | − | 0.0728596i | ||||
\(446\) | −0.741930 | − | 0.539044i | −0.0351314 | − | 0.0255245i | ||||
\(447\) | 29.8011 | + | 1.60923i | 1.40955 | + | 0.0761138i | ||||
\(448\) | −3.43231 | − | 1.11523i | −0.162162 | − | 0.0526895i | ||||
\(449\) | 11.8837 | − | 8.63400i | 0.560825 | − | 0.407463i | −0.270936 | − | 0.962597i | \(-0.587333\pi\) |
0.831761 | + | 0.555134i | \(0.187333\pi\) | |||||||
\(450\) | 3.47292 | − | 14.5924i | 0.163715 | − | 0.687893i | ||||
\(451\) | 22.8399 | + | 7.42114i | 1.07549 | + | 0.349448i | ||||
\(452\) | −8.83436 | + | 6.41854i | −0.415533 | + | 0.301903i | ||||
\(453\) | −5.29388 | − | 19.8832i | −0.248728 | − | 0.934193i | ||||
\(454\) | 0.0662395 | + | 0.203864i | 0.00310877 | + | 0.00956782i | ||||
\(455\) | −18.9582 | − | 43.8153i | −0.888774 | − | 2.05409i | ||||
\(456\) | 5.93597 | + | 9.17242i | 0.277977 | + | 0.429538i | ||||
\(457\) | −3.76897 | + | 11.5997i | −0.176305 | + | 0.542611i | −0.999691 | − | 0.0248714i | \(-0.992082\pi\) |
0.823386 | + | 0.567482i | \(0.192082\pi\) | |||||||
\(458\) | 0.739978 | − | 0.240433i | 0.0345769 | − | 0.0112347i | ||||
\(459\) | 12.4233 | − | 24.0979i | 0.579871 | − | 1.12479i | ||||
\(460\) | 0.180865 | + | 0.106974i | 0.00843288 | + | 0.00498771i | ||||
\(461\) | −2.75089 | − | 8.46638i | −0.128122 | − | 0.394319i | 0.866335 | − | 0.499463i | \(-0.166469\pi\) |
−0.994457 | + | 0.105145i | \(0.966469\pi\) | |||||||
\(462\) | −30.9968 | − | 1.67379i | −1.44210 | − | 0.0778717i | ||||
\(463\) | 13.1538 | + | 9.55683i | 0.611311 | + | 0.444144i | 0.849876 | − | 0.526983i | \(-0.176677\pi\) |
−0.238565 | + | 0.971127i | \(0.576677\pi\) | |||||||
\(464\) | 6.45016 | 0.299441 | ||||||||
\(465\) | −21.4240 | − | 2.45171i | −0.993516 | − | 0.113695i | ||||
\(466\) | −2.61671 | −0.121217 | ||||||||
\(467\) | −17.7952 | − | 12.9290i | −0.823463 | − | 0.598281i | 0.0942390 | − | 0.995550i | \(-0.469958\pi\) |
−0.917702 | + | 0.397268i | \(0.869958\pi\) | |||||||
\(468\) | 13.1515 | + | 11.9174i | 0.607928 | + | 0.550884i | ||||
\(469\) | 9.70496 | + | 29.8688i | 0.448133 | + | 1.37921i | ||||
\(470\) | 2.27090 | − | 3.83949i | 0.104749 | − | 0.177102i | ||||
\(471\) | −5.18534 | − | 4.21265i | −0.238928 | − | 0.194108i | ||||
\(472\) | −2.43009 | + | 0.789584i | −0.111854 | + | 0.0363435i | ||||
\(473\) | 5.51293 | − | 16.9671i | 0.253485 | − | 0.780146i | ||||
\(474\) | −25.0289 | + | 16.1976i | −1.14962 | + | 0.743980i | ||||
\(475\) | −3.95581 | + | 31.2905i | −0.181505 | + | 1.43571i | ||||
\(476\) | −5.81887 | − | 17.9087i | −0.266708 | − | 0.820842i | ||||
\(477\) | 13.2596 | + | 5.95403i | 0.607114 | + | 0.272616i | ||||
\(478\) | 9.80298 | − | 7.12228i | 0.448378 | − | 0.325766i | ||||
\(479\) | −16.1831 | − | 5.25822i | −0.739427 | − | 0.240254i | −0.0850014 | − | 0.996381i | \(-0.527089\pi\) |
−0.654426 | + | 0.756126i | \(0.727089\pi\) | |||||||
\(480\) | 3.22239 | + | 2.14854i | 0.147081 | + | 0.0980669i | ||||
\(481\) | 26.4775 | − | 19.2370i | 1.20727 | − | 0.877132i | ||||
\(482\) | −2.57354 | − | 0.836195i | −0.117222 | − | 0.0380876i | ||||
\(483\) | −0.0316739 | + | 0.586567i | −0.00144121 | + | 0.0266897i | ||||
\(484\) | −11.0522 | − | 8.02988i | −0.502372 | − | 0.364994i | ||||
\(485\) | 0.628007 | − | 2.80894i | 0.0285163 | − | 0.127547i | ||||
\(486\) | −12.1919 | + | 9.71372i | −0.553038 | + | 0.440623i | ||||
\(487\) | 10.6303 | − | 32.7166i | 0.481703 | − | 1.48253i | −0.354996 | − | 0.934868i | \(-0.615518\pi\) |
0.836699 | − | 0.547662i | \(-0.184482\pi\) | |||||||
\(488\) | 11.4648 | + | 3.72513i | 0.518986 | + | 0.168629i | ||||
\(489\) | −9.23732 | + | 23.9504i | −0.417726 | + | 1.08307i | ||||
\(490\) | 6.85792 | − | 11.5949i | 0.309809 | − | 0.523804i | ||||
\(491\) | 5.24795 | 0.236837 | 0.118418 | − | 0.992964i | \(-0.462218\pi\) | ||||
0.118418 | + | 0.992964i | \(0.462218\pi\) | |||||||
\(492\) | 3.01412 | − | 7.81498i | 0.135887 | − | 0.352327i | ||||
\(493\) | 19.7818 | + | 27.2273i | 0.890927 | + | 1.22626i | ||||
\(494\) | −30.1903 | − | 21.9346i | −1.35833 | − | 0.986883i | ||||
\(495\) | 31.5386 | + | 10.7271i | 1.41756 | + | 0.482146i | ||||
\(496\) | 2.51340 | − | 4.96818i | 0.112855 | − | 0.223078i | ||||
\(497\) | 2.93956 | 0.131857 | ||||||||
\(498\) | 2.03403 | + | 7.63957i | 0.0911471 | + | 0.342337i | ||||
\(499\) | −15.7335 | − | 21.6554i | −0.704330 | − | 0.969427i | −0.999901 | − | 0.0141060i | \(-0.995510\pi\) |
0.295571 | − | 0.955321i | \(-0.404490\pi\) | |||||||
\(500\) | 3.11774 | + | 10.7368i | 0.139430 | + | 0.480166i | ||||
\(501\) | 28.1704 | + | 22.8861i | 1.25856 | + | 1.02247i | ||||
\(502\) | −6.17452 | −0.275582 | ||||||||
\(503\) | −8.09139 | − | 24.9027i | −0.360777 | − | 1.11036i | −0.952583 | − | 0.304278i | \(-0.901585\pi\) |
0.591806 | − | 0.806080i | \(-0.298415\pi\) | |||||||
\(504\) | −1.16587 | + | 10.7639i | −0.0519322 | + | 0.479461i | ||||
\(505\) | −9.51251 | + | 8.38563i | −0.423301 | + | 0.373156i | ||||
\(506\) | −0.274306 | + | 0.377549i | −0.0121944 | + | 0.0167841i | ||||
\(507\) | −35.5502 | − | 13.7112i | −1.57884 | − | 0.608935i | ||||
\(508\) | −1.53607 | − | 1.11602i | −0.0681522 | − | 0.0495155i | ||||
\(509\) | 27.6898 | − | 20.1178i | 1.22733 | − | 0.891705i | 0.230640 | − | 0.973039i | \(-0.425918\pi\) |
0.996687 | + | 0.0813340i | \(0.0259180\pi\) | |||||||
\(510\) | 0.813264 | + | 20.1916i | 0.0360119 | + | 0.894097i | ||||
\(511\) | −5.07662 | − | 6.98737i | −0.224577 | − | 0.309103i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | 23.2868 | − | 23.0661i | 1.02814 | − | 1.01840i | ||||
\(514\) | 8.56720 | − | 6.22444i | 0.377883 | − | 0.274548i | ||||
\(515\) | 16.7310 | + | 38.6680i | 0.737257 | + | 1.70392i | ||||
\(516\) | −5.80550 | − | 2.23910i | −0.255573 | − | 0.0985708i | ||||
\(517\) | 8.01479 | + | 5.82309i | 0.352490 | + | 0.256099i | ||||
\(518\) | 18.9880 | + | 6.16959i | 0.834287 | + | 0.271076i | ||||
\(519\) | 1.05023 | + | 1.62285i | 0.0461002 | + | 0.0712352i | ||||
\(520\) | −12.9098 | − | 2.88630i | −0.566131 | − | 0.126572i | ||||
\(521\) | − | 25.3801i | − | 1.11192i | −0.831208 | − | 0.555962i | \(-0.812350\pi\) | ||
0.831208 | − | 0.555962i | \(-0.187650\pi\) | |||||||
\(522\) | −3.96311 | − | 18.9403i | −0.173461 | − | 0.828994i | ||||
\(523\) | 7.07757 | + | 21.7825i | 0.309480 | + | 0.952483i | 0.977967 | + | 0.208759i | \(0.0669424\pi\) |
−0.668487 | + | 0.743724i | \(0.733058\pi\) | |||||||
\(524\) | 8.96830 | + | 12.3438i | 0.391782 | + | 0.539242i | ||||
\(525\) | −22.5944 | + | 21.5946i | −0.986102 | + | 0.942467i | ||||
\(526\) | − | 20.2849i | − | 0.884463i | ||||||
\(527\) | 28.6798 | − | 4.62722i | 1.24931 | − | 0.201565i | ||||
\(528\) | −5.42362 | + | 6.67593i | −0.236033 | + | 0.290533i | ||||
\(529\) | −18.6002 | − | 13.5139i | −0.808706 | − | 0.587560i | ||||
\(530\) | −10.7857 | + | 1.01905i | −0.468502 | + | 0.0442649i | ||||
\(531\) | 3.81164 | + | 6.65059i | 0.165411 | + | 0.288611i | ||||
\(532\) | − | 22.7649i | − | 0.986983i | ||||||
\(533\) | 28.6092i | 1.23920i | ||||||||
\(534\) | −5.09095 | − | 1.96350i | −0.220307 | − | 0.0849692i | ||||
\(535\) | −4.32535 | − | 4.90660i | −0.187001 | − | 0.212131i | ||||
\(536\) | 8.27632 | + | 2.68914i | 0.357483 | + | 0.116153i | ||||
\(537\) | −14.0356 | + | 3.73698i | −0.605683 | + | 0.161263i | ||||
\(538\) | 0.832617 | + | 2.56253i | 0.0358967 | + | 0.110479i | ||||
\(539\) | 24.2039 | + | 17.5852i | 1.04254 | + | 0.757447i | ||||
\(540\) | 4.32908 | − | 10.7823i | 0.186294 | − | 0.463998i | ||||
\(541\) | −1.53748 | + | 4.73187i | −0.0661014 | + | 0.203439i | −0.978652 | − | 0.205525i | \(-0.934110\pi\) |
0.912551 | + | 0.408964i | \(0.134110\pi\) | |||||||
\(542\) | 3.18049 | + | 4.37757i | 0.136614 | + | 0.188033i | ||||
\(543\) | −25.5573 | − | 1.38006i | −1.09677 | − | 0.0592242i | ||||
\(544\) | −4.96229 | − | 1.61235i | −0.212757 | − | 0.0691288i | ||||
\(545\) | −3.19188 | − | 33.7830i | −0.136725 | − | 1.44711i | ||||
\(546\) | −9.51443 | − | 35.7350i | −0.407180 | − | 1.52932i | ||||
\(547\) | 26.9462 | − | 8.75534i | 1.15214 | − | 0.374351i | 0.330188 | − | 0.943915i | \(-0.392888\pi\) |
0.821947 | + | 0.569564i | \(0.192888\pi\) | |||||||
\(548\) | 7.33902 | − | 10.1013i | 0.313507 | − | 0.431506i | ||||
\(549\) | 3.89431 | − | 35.9540i | 0.166205 | − | 1.53448i | ||||
\(550\) | −24.3907 | + | 4.65046i | −1.04002 | + | 0.198296i | ||||
\(551\) | 12.5730 | + | 38.6956i | 0.535627 | + | 1.64849i | ||||
\(552\) | 0.126332 | + | 0.102634i | 0.00537704 | + | 0.00436838i | ||||
\(553\) | 62.1190 | 2.64157 | ||||||||
\(554\) | −7.69469 | − | 23.6818i | −0.326916 | − | 1.00614i | ||||
\(555\) | −17.8267 | − | 11.8860i | −0.756702 | − | 0.504534i | ||||
\(556\) | 3.75633 | − | 5.17015i | 0.159304 | − | 0.219263i | ||||
\(557\) | − | 22.8740i | − | 0.969201i | −0.874736 | − | 0.484601i | \(-0.838965\pi\) | ||
0.874736 | − | 0.484601i | \(-0.161035\pi\) | |||||||
\(558\) | −16.1329 | − | 4.32782i | −0.682959 | − | 0.183211i | ||||
\(559\) | 21.2529 | 0.898901 | ||||||||
\(560\) | −3.20459 | − | 7.40629i | −0.135418 | − | 0.312973i | ||||
\(561\) | −44.8138 | − | 2.41989i | −1.89204 | − | 0.102168i | ||||
\(562\) | 6.61760 | − | 2.15019i | 0.279147 | − | 0.0907003i | ||||
\(563\) | −30.8623 | −1.30069 | −0.650346 | − | 0.759638i | \(-0.725376\pi\) | ||||
−0.650346 | + | 0.759638i | \(0.725376\pi\) | |||||||
\(564\) | 2.17876 | − | 2.68183i | 0.0917422 | − | 0.112925i | ||||
\(565\) | −23.8293 | − | 5.32761i | −1.00250 | − | 0.224134i | ||||
\(566\) | 0.282524 | + | 0.0917976i | 0.0118754 | + | 0.00385854i | ||||
\(567\) | 32.3235 | − | 3.19007i | 1.35746 | − | 0.133970i | ||||
\(568\) | 0.478763 | − | 0.658961i | 0.0200884 | − | 0.0276494i | ||||
\(569\) | −9.10885 | − | 28.0342i | −0.381863 | − | 1.17525i | −0.938731 | − | 0.344652i | \(-0.887997\pi\) |
0.556868 | − | 0.830601i | \(-0.312003\pi\) | |||||||
\(570\) | −6.60822 | + | 23.5197i | −0.276788 | + | 0.985132i | ||||
\(571\) | 3.92386 | + | 5.40074i | 0.164209 | + | 0.226014i | 0.883190 | − | 0.469016i | \(-0.155391\pi\) |
−0.718981 | + | 0.695030i | \(0.755391\pi\) | |||||||
\(572\) | 9.07852 | − | 27.9408i | 0.379592 | − | 1.16826i | ||||
\(573\) | 45.8568 | + | 2.47622i | 1.91570 | + | 0.103445i | ||||
\(574\) | −14.1195 | + | 10.2584i | −0.589336 | + | 0.428177i | ||||
\(575\) | 0.0880028 | + | 0.461556i | 0.00366997 | + | 0.0192482i | ||||
\(576\) | 2.22305 | + | 2.01446i | 0.0926272 | + | 0.0839357i | ||||
\(577\) | −2.03580 | + | 2.80204i | −0.0847516 | + | 0.116651i | −0.849288 | − | 0.527930i | \(-0.822968\pi\) |
0.764536 | + | 0.644581i | \(0.222968\pi\) | |||||||
\(578\) | −3.15940 | − | 9.72363i | −0.131414 | − | 0.404450i | ||||
\(579\) | 0.202120 | + | 0.759138i | 0.00839982 | + | 0.0315487i | ||||
\(580\) | 9.53761 | + | 10.8193i | 0.396028 | + | 0.449246i | ||||
\(581\) | 5.09030 | − | 15.6663i | 0.211181 | − | 0.649949i | ||||
\(582\) | 0.802287 | − | 2.08016i | 0.0332559 | − | 0.0862253i | ||||
\(583\) | − | 24.0603i | − | 0.996478i | ||||||
\(584\) | −2.39318 | −0.0990306 | ||||||||
\(585\) | −0.543309 | + | 39.6817i | −0.0224631 | + | 1.64064i | ||||
\(586\) | −18.3956 | + | 13.3652i | −0.759916 | + | 0.552111i | ||||
\(587\) | −22.3605 | + | 30.7765i | −0.922915 | + | 1.27028i | 0.0396449 | + | 0.999214i | \(0.487377\pi\) |
−0.962560 | + | 0.271070i | \(0.912623\pi\) | |||||||
\(588\) | 6.57965 | − | 8.09888i | 0.271340 | − | 0.333992i | ||||
\(589\) | 34.7042 | + | 5.39412i | 1.42996 | + | 0.222261i | ||||
\(590\) | −4.91770 | − | 2.90862i | −0.202459 | − | 0.119746i | ||||
\(591\) | 6.25231 | + | 23.4829i | 0.257186 | + | 0.965958i | ||||
\(592\) | 4.47560 | − | 3.25171i | 0.183946 | − | 0.133645i | ||||
\(593\) | 8.07128 | + | 24.8409i | 0.331448 | + | 1.02009i | 0.968445 | + | 0.249226i | \(0.0801761\pi\) |
−0.636998 | + | 0.770866i | \(0.719824\pi\) | |||||||
\(594\) | 22.9356 | + | 11.8241i | 0.941061 | + | 0.485150i | ||||
\(595\) | 21.4352 | − | 36.2412i | 0.878759 | − | 1.48575i | ||||
\(596\) | −16.3874 | + | 5.32460i | −0.671255 | + | 0.218104i | ||||
\(597\) | −18.9303 | + | 12.2508i | −0.774764 | + | 0.501392i | ||||
\(598\) | −0.528737 | − | 0.171797i | −0.0216217 | − | 0.00702531i | ||||
\(599\) | −11.1209 | + | 15.3066i | −0.454388 | + | 0.625412i | −0.973333 | − | 0.229396i | \(-0.926325\pi\) |
0.518945 | + | 0.854808i | \(0.326325\pi\) | |||||||
\(600\) | 1.16093 | + | 8.58209i | 0.0473949 | + | 0.350362i | ||||
\(601\) | −23.4018 | + | 32.2098i | −0.954579 | + | 1.31387i | −0.00511594 | + | 0.999987i | \(0.501628\pi\) |
−0.949463 | + | 0.313879i | \(0.898372\pi\) | |||||||
\(602\) | 7.62065 | + | 10.4889i | 0.310594 | + | 0.427496i | ||||
\(603\) | 2.81127 | − | 25.9549i | 0.114484 | − | 1.05697i | ||||
\(604\) | 6.98258 | + | 9.61070i | 0.284117 | + | 0.391054i | ||||
\(605\) | −2.87338 | − | 30.4120i | −0.116820 | − | 1.23642i | ||||
\(606\) | −8.24643 | + | 5.33671i | −0.334988 | + | 0.216789i | ||||
\(607\) | 1.59987 | + | 2.20203i | 0.0649366 | + | 0.0893775i | 0.840250 | − | 0.542199i | \(-0.182408\pi\) |
−0.775314 | + | 0.631577i | \(0.782408\pi\) | |||||||
\(608\) | −5.10320 | − | 3.70769i | −0.206962 | − | 0.150367i | ||||
\(609\) | −14.5088 | + | 37.6182i | −0.587926 | + | 1.52437i | ||||
\(610\) | 10.7041 | + | 24.7388i | 0.433397 | + | 1.00165i | ||||
\(611\) | −3.64699 | + | 11.2243i | −0.147541 | + | 0.454086i | ||||
\(612\) | −1.68557 | + | 15.5620i | −0.0681352 | + | 0.629056i | ||||
\(613\) | −0.748541 | − | 2.30377i | −0.0302333 | − | 0.0930485i | 0.934801 | − | 0.355171i | \(-0.115577\pi\) |
−0.965035 | + | 0.262123i | \(0.915577\pi\) | |||||||
\(614\) | 26.3480i | 1.06332i | ||||||||
\(615\) | 17.5655 | − | 6.49992i | 0.708308 | − | 0.262102i | ||||
\(616\) | 17.0449 | − | 5.53822i | 0.686758 | − | 0.223141i | ||||
\(617\) | −14.1457 | + | 10.2775i | −0.569485 | + | 0.413755i | −0.834918 | − | 0.550374i | \(-0.814485\pi\) |
0.265433 | + | 0.964129i | \(0.414485\pi\) | |||||||
\(618\) | 8.39670 | + | 31.5370i | 0.337765 | + | 1.26860i | ||||
\(619\) | 42.8496i | 1.72227i | 0.508376 | + | 0.861135i | \(0.330246\pi\) | ||||
−0.508376 | + | 0.861135i | \(0.669754\pi\) | |||||||
\(620\) | 12.0499 | − | 3.13036i | 0.483937 | − | 0.125718i | ||||
\(621\) | 0.223754 | − | 0.434022i | 0.00897893 | − | 0.0174167i | ||||
\(622\) | −17.2840 | + | 23.7894i | −0.693024 | + | 0.953866i | ||||
\(623\) | 6.68268 | + | 9.19792i | 0.267736 | + | 0.368507i | ||||
\(624\) | −9.56032 | − | 3.68728i | −0.382719 | − | 0.147609i | ||||
\(625\) | −13.3995 | + | 21.1058i | −0.535981 | + | 0.844230i | ||||
\(626\) | 24.2525 | 0.969324 | ||||||||
\(627\) | −50.6221 | − | 19.5242i | −2.02165 | − | 0.779721i | ||||
\(628\) | 3.66842 | + | 1.19194i | 0.146386 | + | 0.0475637i | ||||
\(629\) | 27.4521 | + | 8.91974i | 1.09459 | + | 0.355653i | ||||
\(630\) | −19.7789 | + | 13.9605i | −0.788011 | + | 0.556201i | ||||
\(631\) | −37.5125 | + | 12.1885i | −1.49335 | + | 0.485218i | −0.938070 | − | 0.346446i | \(-0.887388\pi\) |
−0.555278 | + | 0.831665i | \(0.687388\pi\) | |||||||
\(632\) | 10.1173 | − | 13.9252i | 0.402443 | − | 0.553915i | ||||
\(633\) | 0.153413 | − | 2.84104i | 0.00609761 | − | 0.112921i | ||||
\(634\) | 3.38445 | − | 10.4163i | 0.134414 | − | 0.413682i | ||||
\(635\) | −0.399353 | − | 4.22678i | −0.0158478 | − | 0.167734i | ||||
\(636\) | −8.37959 | − | 0.452488i | −0.332272 | − | 0.0179423i | ||||
\(637\) | −11.0136 | + | 33.8963i | −0.436374 | + | 1.34302i | ||||
\(638\) | −25.9141 | + | 18.8277i | −1.02595 | + | 0.745395i | ||||
\(639\) | −2.22914 | − | 1.00096i | −0.0881834 | − | 0.0395975i | ||||
\(640\) | −2.18219 | − | 0.487883i | −0.0862588 | − | 0.0192853i | ||||
\(641\) | 17.6620 | + | 12.8322i | 0.697606 | + | 0.506841i | 0.879152 | − | 0.476542i | \(-0.158110\pi\) |
−0.181545 | + | 0.983383i | \(0.558110\pi\) | |||||||
\(642\) | −2.75270 | − | 4.25354i | −0.108640 | − | 0.167874i | ||||
\(643\) | −8.37657 | + | 25.7804i | −0.330340 | + | 1.01668i | 0.638633 | + | 0.769512i | \(0.279500\pi\) |
−0.968972 | + | 0.247169i | \(0.920500\pi\) | |||||||
\(644\) | −0.104802 | − | 0.322549i | −0.00412979 | − | 0.0127102i | ||||
\(645\) | −4.82859 | − | 13.0488i | −0.190125 | − | 0.513797i | ||||
\(646\) | − | 32.9125i | − | 1.29493i | ||||||
\(647\) | 3.15820 | − | 1.02616i | 0.124162 | − | 0.0403426i | −0.246277 | − | 0.969199i | \(-0.579207\pi\) |
0.370439 | + | 0.928857i | \(0.379207\pi\) | |||||||
\(648\) | 4.54937 | − | 7.76551i | 0.178716 | − | 0.305058i | ||||
\(649\) | 7.45834 | − | 10.2655i | 0.292765 | − | 0.402957i | ||||
\(650\) | −14.2478 | − | 25.9223i | −0.558845 | − | 1.01676i | ||||
\(651\) | 23.3215 | + | 25.8338i | 0.914043 | + | 1.01251i | ||||
\(652\) | − | 14.8206i | − | 0.580419i | ||||||
\(653\) | 26.7343 | + | 19.4236i | 1.04619 | + | 0.760104i | 0.971485 | − | 0.237102i | \(-0.0761975\pi\) |
0.0747082 | + | 0.997205i | \(0.476197\pi\) | |||||||
\(654\) | 1.41728 | − | 26.2465i | 0.0554201 | − | 1.02632i | ||||
\(655\) | −7.44401 | + | 33.2954i | −0.290861 | + | 1.30096i | ||||
\(656\) | 4.83594i | 0.188812i | ||||||||
\(657\) | 1.47042 | + | 7.02736i | 0.0573666 | + | 0.274163i | ||||
\(658\) | −6.84721 | + | 2.22479i | −0.266932 | + | 0.0867315i | ||||
\(659\) | 6.32434 | + | 2.05490i | 0.246361 | + | 0.0800477i | 0.429595 | − | 0.903022i | \(-0.358656\pi\) |
−0.183233 | + | 0.983069i | \(0.558656\pi\) | |||||||
\(660\) | −19.2177 | + | 0.774039i | −0.748047 | + | 0.0301294i | ||||
\(661\) | −18.7970 | − | 13.6568i | −0.731120 | − | 0.531190i | 0.158798 | − | 0.987311i | \(-0.449238\pi\) |
−0.889918 | + | 0.456121i | \(0.849238\pi\) | |||||||
\(662\) | 31.6703 | − | 10.2903i | 1.23090 | − | 0.399944i | ||||
\(663\) | −13.7556 | − | 51.6642i | −0.534222 | − | 2.00647i | ||||
\(664\) | −2.68287 | − | 3.69265i | −0.104115 | − | 0.143303i | ||||
\(665\) | 38.1851 | − | 33.6616i | 1.48075 | − | 1.30534i | ||||
\(666\) | −12.2983 | − | 11.1443i | −0.476548 | − | 0.431831i | ||||
\(667\) | 0.356285 | + | 0.490384i | 0.0137954 | + | 0.0189878i | ||||
\(668\) | −19.9295 | − | 6.47548i | −0.771094 | − | 0.250544i | ||||
\(669\) | 0.0856482 | − | 1.58611i | 0.00331135 | − | 0.0613226i | ||||
\(670\) | 7.72720 | + | 17.8588i | 0.298528 | + | 0.689944i | ||||
\(671\) | −56.9341 | + | 18.4990i | −2.19792 | + | 0.714147i | ||||
\(672\) | −1.60826 | − | 6.04044i | −0.0620402 | − | 0.233015i | ||||
\(673\) | 2.47106 | − | 7.60515i | 0.0952525 | − | 0.293157i | −0.892067 | − | 0.451903i | \(-0.850745\pi\) |
0.987319 | + | 0.158746i | \(0.0507452\pi\) | |||||||
\(674\) | −2.49129 | + | 7.66740i | −0.0959609 | + | 0.295337i | ||||
\(675\) | 24.4872 | − | 8.68198i | 0.942513 | − | 0.334170i | ||||
\(676\) | 21.9986 | 0.846099 | ||||||||
\(677\) | 12.4014i | 0.476623i | 0.971189 | + | 0.238312i | \(0.0765940\pi\) | ||||
−0.971189 | + | 0.238312i | \(0.923406\pi\) | |||||||
\(678\) | −17.6467 | − | 6.80609i | −0.677719 | − | 0.261386i | ||||
\(679\) | −3.75826 | + | 2.73054i | −0.144229 | + | 0.104788i | ||||
\(680\) | −4.63306 | − | 10.7077i | −0.177670 | − | 0.410622i | ||||
\(681\) | −0.234108 | + | 0.288163i | −0.00897104 | + | 0.0110424i | ||||
\(682\) | 4.40404 | + | 27.2966i | 0.168639 | + | 1.04524i | ||||
\(683\) | −25.8050 | −0.987402 | −0.493701 | − | 0.869632i | \(-0.664356\pi\) | ||||
−0.493701 | + | 0.869632i | \(0.664356\pi\) | |||||||
\(684\) | −7.75179 | + | 17.2632i | −0.296397 | + | 0.660074i | ||||
\(685\) | 27.7955 | − | 2.62617i | 1.06201 | − | 0.100341i | ||||
\(686\) | 3.34824 | − | 1.08791i | 0.127836 | − | 0.0415366i | ||||
\(687\) | 1.04596 | + | 0.849757i | 0.0399060 | + | 0.0324202i | ||||
\(688\) | 3.59247 | 0.136961 | ||||||||
\(689\) | 27.2600 | − | 8.85731i | 1.03852 | − | 0.337437i | ||||
\(690\) | 0.0146475 | + | 0.363666i | 0.000557621 | + | 0.0138445i | ||||
\(691\) | 12.4565 | − | 38.3373i | 0.473869 | − | 1.45842i | −0.373607 | − | 0.927587i | \(-0.621879\pi\) |
0.847476 | − | 0.530833i | \(-0.178121\pi\) | |||||||
\(692\) | −0.902895 | − | 0.655992i | −0.0343229 | − | 0.0249371i | ||||
\(693\) | −26.7352 | − | 46.6479i | −1.01559 | − | 1.77201i | ||||
\(694\) | 3.16862 | − | 4.36123i | 0.120279 | − | 0.165550i | ||||
\(695\) | 14.2266 | − | 1.34415i | 0.539645 | − | 0.0509866i | ||||
\(696\) | 6.06984 | + | 9.37928i | 0.230077 | + | 0.355521i | ||||
\(697\) | −20.4134 | + | 14.8312i | −0.773211 | + | 0.561771i | ||||
\(698\) | −24.5851 | + | 17.8621i | −0.930561 | + | 0.676092i | ||||
\(699\) | −2.46242 | − | 3.80500i | −0.0931373 | − | 0.143918i | ||||
\(700\) | 7.68456 | − | 16.3267i | 0.290449 | − | 0.617090i | ||||
\(701\) | 24.1216 | − | 33.2005i | 0.911059 | − | 1.25397i | −0.0557446 | − | 0.998445i | \(-0.517753\pi\) |
0.966804 | − | 0.255520i | \(-0.0822468\pi\) | |||||||
\(702\) | −4.95329 | + | 30.3385i | −0.186950 | + | 1.14505i | ||||
\(703\) | 28.2317 | + | 20.5115i | 1.06478 | + | 0.773606i | ||||
\(704\) | 1.53458 | − | 4.72295i | 0.0578367 | − | 0.178003i | ||||
\(705\) | 7.72006 | − | 0.310944i | 0.290754 | − | 0.0117108i | ||||
\(706\) | 16.3491 | − | 5.31213i | 0.615305 | − | 0.199925i | ||||
\(707\) | 20.4667 | 0.769729 | ||||||||
\(708\) | −3.43495 | − | 2.79060i | −0.129093 | − | 0.104877i | ||||
\(709\) | 7.61150 | − | 2.47313i | 0.285856 | − | 0.0928803i | −0.162579 | − | 0.986695i | \(-0.551981\pi\) |
0.448435 | + | 0.893815i | \(0.351981\pi\) | |||||||
\(710\) | 1.81325 | − | 0.171319i | 0.0680500 | − | 0.00642948i | ||||
\(711\) | −47.1063 | − | 21.1524i | −1.76662 | − | 0.793278i | ||||
\(712\) | 3.15030 | 0.118062 | ||||||||
\(713\) | 0.516546 | − | 0.0833398i | 0.0193448 | − | 0.00312110i | ||||
\(714\) | 20.5655 | − | 25.3140i | 0.769643 | − | 0.947353i | ||||
\(715\) | 60.2911 | − | 26.0870i | 2.25476 | − | 0.975598i | ||||
\(716\) | 6.78424 | − | 4.92904i | 0.253539 | − | 0.184207i | ||||
\(717\) | 19.5816 | + | 7.55233i | 0.731288 | + | 0.282047i | ||||
\(718\) | 3.96845i | 0.148101i | ||||||||
\(719\) | −9.57189 | −0.356971 | −0.178486 | − | 0.983943i | \(-0.557120\pi\) | ||||
−0.178486 | + | 0.983943i | \(0.557120\pi\) | |||||||
\(720\) | −0.0918378 | + | 6.70758i | −0.00342259 | + | 0.249977i | ||||
\(721\) | 21.0133 | − | 64.6723i | 0.782576 | − | 2.40852i | ||||
\(722\) | 6.42436 | − | 19.7722i | 0.239090 | − | 0.735843i | ||||
\(723\) | −1.20587 | − | 4.52912i | −0.0448470 | − | 0.168440i | ||||
\(724\) | 14.0538 | − | 4.56634i | 0.522304 | − | 0.169707i | ||||
\(725\) | −4.04502 | + | 31.9961i | −0.150228 | + | 1.18831i | ||||
\(726\) | 1.27586 | − | 23.6275i | 0.0473516 | − | 0.876900i | ||||
\(727\) | −28.2446 | − | 9.17723i | −1.04753 | − | 0.340365i | −0.265834 | − | 0.964019i | \(-0.585647\pi\) |
−0.781700 | + | 0.623654i | \(0.785647\pi\) | |||||||
\(728\) | 12.5494 | + | 17.2728i | 0.465113 | + | 0.640173i | ||||
\(729\) | −25.5979 | − | 8.58752i | −0.948072 | − | 0.318056i | ||||
\(730\) | −3.53871 | − | 4.01425i | −0.130973 | − | 0.148574i | ||||
\(731\) | 11.0176 | + | 15.1644i | 0.407501 | + | 0.560877i | ||||
\(732\) | 5.37200 | + | 20.1766i | 0.198555 | + | 0.745748i | ||||
\(733\) | 27.6025 | − | 8.96861i | 1.01952 | − | 0.331263i | 0.248883 | − | 0.968534i | \(-0.419937\pi\) |
0.770640 | + | 0.637271i | \(0.219937\pi\) | |||||||
\(734\) | −2.89749 | − | 2.10515i | −0.106948 | − | 0.0777024i | ||||
\(735\) | 23.3139 | − | 0.939022i | 0.859945 | − | 0.0346364i | ||||
\(736\) | −0.0893747 | − | 0.0290396i | −0.00329440 | − | 0.00107041i | ||||
\(737\) | −41.1003 | + | 13.3543i | −1.51395 | + | 0.491912i | ||||
\(738\) | 14.2003 | − | 2.97130i | 0.522720 | − | 0.109375i | ||||
\(739\) | − | 12.3700i | − | 0.455037i | −0.973774 | − | 0.227519i | \(-0.926939\pi\) | ||
0.973774 | − | 0.227519i | \(-0.0730613\pi\) | |||||||
\(740\) | 12.0722 | + | 2.69904i | 0.443783 | + | 0.0992186i | ||||
\(741\) | 3.48516 | − | 64.5415i | 0.128031 | − | 2.37099i | ||||
\(742\) | 14.1460 | + | 10.2776i | 0.519315 | + | 0.377304i | ||||
\(743\) | − | 7.78833i | − | 0.285726i | −0.989742 | − | 0.142863i | \(-0.954369\pi\) | ||
0.989742 | − | 0.142863i | \(-0.0456308\pi\) | |||||||
\(744\) | 9.58951 | − | 1.02046i | 0.351568 | − | 0.0374119i | ||||
\(745\) | −33.1628 | − | 19.6145i | −1.21499 | − | 0.718618i | ||||
\(746\) | 3.55646 | − | 4.89504i | 0.130211 | − | 0.179220i | ||||
\(747\) | −9.19472 | + | 10.1468i | −0.336417 | + | 0.371253i | ||||
\(748\) | 24.6428 | − | 8.00693i | 0.901030 | − | 0.292762i | ||||
\(749\) | 10.5568i | 0.385737i | ||||||||
\(750\) | −12.6787 | + | 14.6373i | −0.462960 | + | 0.534479i | ||||
\(751\) | −13.5726 | − | 41.7721i | −0.495271 | − | 1.52429i | −0.816535 | − | 0.577297i | \(-0.804108\pi\) |
0.321264 | − | 0.946990i | \(-0.395892\pi\) | |||||||
\(752\) | −0.616466 | + | 1.89729i | −0.0224802 | + | 0.0691870i | ||||
\(753\) | −5.81045 | − | 8.97847i | −0.211745 | − | 0.327194i | ||||
\(754\) | −30.8712 | − | 22.4292i | −1.12426 | − | 0.816825i | ||||
\(755\) | −5.79579 | + | 25.9233i | −0.210930 | + | 0.943446i | ||||
\(756\) | −16.7491 | + | 8.43389i | −0.609157 | + | 0.306738i | ||||
\(757\) | 18.4659 | − | 13.4162i | 0.671154 | − | 0.487622i | −0.199258 | − | 0.979947i | \(-0.563853\pi\) |
0.870411 | + | 0.492325i | \(0.163853\pi\) | |||||||
\(758\) | 3.47466 | − | 10.6939i | 0.126205 | − | 0.388420i | ||||
\(759\) | −0.807132 | − | 0.0435842i | −0.0292970 | − | 0.00158201i | ||||
\(760\) | −1.32675 | − | 14.0424i | −0.0481262 | − | 0.509370i | ||||
\(761\) | −14.5643 | + | 44.8243i | −0.527955 | + | 1.62488i | 0.230442 | + | 0.973086i | \(0.425983\pi\) |
−0.758397 | + | 0.651793i | \(0.774017\pi\) | |||||||
\(762\) | 0.177324 | − | 3.28384i | 0.00642376 | − | 0.118961i | ||||
\(763\) | −32.1916 | + | 44.3079i | −1.16541 | + | 1.60405i | ||||
\(764\) | −25.2163 | + | 8.19329i | −0.912295 | + | 0.296423i | ||||
\(765\) | −28.5955 | + | 20.1836i | −1.03387 | + | 0.729739i | ||||
\(766\) | 30.6454 | + | 9.95728i | 1.10726 | + | 0.359771i | ||||
\(767\) | 14.3763 | + | 4.67115i | 0.519098 | + | 0.168665i | ||||
\(768\) | −1.61602 | − | 0.623276i | −0.0583132 | − | 0.0224905i | ||||
\(769\) | −21.3432 | −0.769654 | −0.384827 | − | 0.922989i | \(-0.625739\pi\) | ||||
−0.384827 | + | 0.922989i | \(0.625739\pi\) | |||||||
\(770\) | 34.4933 | + | 20.4014i | 1.24305 | + | 0.735215i | ||||
\(771\) | 17.1131 | + | 6.60027i | 0.616313 | + | 0.237703i | ||||
\(772\) | −0.266594 | − | 0.366936i | −0.00959494 | − | 0.0132063i | ||||
\(773\) | 25.6432 | − | 35.2948i | 0.922320 | − | 1.26947i | −0.0404602 | − | 0.999181i | \(-0.512882\pi\) |
0.962781 | − | 0.270284i | \(-0.0871176\pi\) | |||||||
\(774\) | −2.20728 | − | 10.5489i | −0.0793392 | − | 0.379174i | ||||
\(775\) | 23.0685 | + | 15.5834i | 0.828646 | + | 0.559773i | ||||
\(776\) | 1.28721i | 0.0462081i | ||||||||
\(777\) | 8.89716 | + | 33.4166i | 0.319184 | + | 1.19881i | ||||
\(778\) | 15.9809 | − | 11.6108i | 0.572942 | − | 0.416267i | ||||
\(779\) | −29.0116 | + | 9.42645i | −1.03945 | + | 0.337738i | ||||
\(780\) | −7.95156 | − | 21.4884i | −0.284712 | − | 0.769408i | ||||
\(781\) | 4.04491i | 0.144738i | ||||||||
\(782\) | −0.151519 | − | 0.466327i | −0.00541831 | − | 0.0166758i | ||||
\(783\) | 23.8119 | − | 23.5863i | 0.850969 | − | 0.842907i | ||||
\(784\) | −1.86167 | + | 5.72963i | −0.0664883 | + | 0.204630i | ||||
\(785\) | 3.42503 | + | 7.91577i | 0.122245 | + | 0.282526i | ||||
\(786\) | −9.50981 | + | 24.6569i | −0.339204 | + | 0.879483i | ||||
\(787\) | −35.8934 | − | 26.0781i | −1.27946 | − | 0.929584i | −0.279926 | − | 0.960021i | \(-0.590310\pi\) |
−0.999537 | + | 0.0304371i | \(0.990310\pi\) | |||||||
\(788\) | −8.24674 | − | 11.3507i | −0.293778 | − | 0.404351i | ||||
\(789\) | 29.4966 | − | 19.0888i | 1.05011 | − | 0.679580i | ||||
\(790\) | 38.3177 | − | 3.62032i | 1.36328 | − | 0.128805i | ||||
\(791\) | 23.1642 | + | 31.8827i | 0.823622 | + | 1.13362i | ||||
\(792\) | −14.8114 | − | 1.60427i | −0.526300 | − | 0.0570054i | ||||
\(793\) | −41.9182 | − | 57.6955i | −1.48856 | − | 2.04883i | ||||
\(794\) | 14.9067 | − | 20.5173i | 0.529019 | − | 0.728132i | ||||
\(795\) | −11.6316 | − | 14.7247i | −0.412530 | − | 0.522232i | ||||
\(796\) | 7.65203 | − | 10.5321i | 0.271219 | − | 0.373301i | ||||
\(797\) | −16.8703 | − | 5.48148i | −0.597575 | − | 0.194164i | −0.00541659 | − | 0.999985i | \(-0.501724\pi\) |
−0.592159 | + | 0.805821i | \(0.701724\pi\) | |||||||
\(798\) | 33.1028 | − | 21.4226i | 1.17183 | − | 0.758352i | ||||
\(799\) | −9.89941 | + | 3.21651i | −0.350216 | + | 0.113792i | ||||
\(800\) | −2.40837 | − | 4.38175i | −0.0851487 | − | 0.154918i | ||||
\(801\) | −1.93561 | − | 9.25055i | −0.0683913 | − | 0.326852i | ||||
\(802\) | 2.80920 | + | 8.64583i | 0.0991963 | + | 0.305295i | ||||
\(803\) | 9.61482 | − | 6.98557i | 0.339299 | − | 0.246515i | ||||
\(804\) | 3.87800 | + | 14.5653i | 0.136767 | + | 0.513678i | ||||
\(805\) | 0.386065 | − | 0.652732i | 0.0136070 | − | 0.0230058i | ||||
\(806\) | −29.3053 | + | 15.0384i | −1.03224 | + | 0.529704i | ||||
\(807\) | −2.94269 | + | 3.62216i | −0.103588 | + | 0.127506i | ||||
\(808\) | 3.33339 | − | 4.58801i | 0.117268 | − | 0.161406i | ||||
\(809\) | 33.3862 | − | 24.2565i | 1.17380 | − | 0.852812i | 0.182337 | − | 0.983236i | \(-0.441634\pi\) |
0.991458 | + | 0.130424i | \(0.0416338\pi\) | |||||||
\(810\) | 19.7526 | − | 3.85160i | 0.694036 | − | 0.135331i | ||||
\(811\) | 4.94631 | 0.173689 | 0.0868443 | − | 0.996222i | \(-0.472322\pi\) | ||||
0.0868443 | + | 0.996222i | \(0.472322\pi\) | |||||||
\(812\) | − | 23.2783i | − | 0.816908i | ||||||
\(813\) | −3.37253 | + | 8.74425i | −0.118280 | + | 0.306674i | ||||
\(814\) | −8.48953 | + | 26.1281i | −0.297558 | + | 0.915789i | ||||
\(815\) | 24.8596 | − | 21.9146i | 0.870792 | − | 0.767636i | ||||
\(816\) | −2.32516 | − | 8.73302i | −0.0813970 | − | 0.305717i | ||||
\(817\) | 7.00261 | + | 21.5518i | 0.244990 | + | 0.754003i | ||||
\(818\) | 4.82020 | − | 6.63443i | 0.168534 | − | 0.231967i | ||||
\(819\) | 43.0094 | − | 47.4630i | 1.50287 | − | 1.65849i | ||||
\(820\) | −8.11164 | + | 7.15072i | −0.283271 | + | 0.249714i | ||||
\(821\) | −30.6936 | + | 22.3002i | −1.07121 | + | 0.778283i | −0.976130 | − | 0.217186i | \(-0.930312\pi\) |
−0.0950845 | + | 0.995469i | \(0.530312\pi\) | |||||||
\(822\) | 21.5947 | + | 1.16609i | 0.753203 | + | 0.0406721i | ||||
\(823\) | −0.0296148 | + | 0.0911450i | −0.00103231 | + | 0.00317711i | −0.951571 | − | 0.307428i | \(-0.900532\pi\) |
0.950539 | + | 0.310605i | \(0.100532\pi\) | |||||||
\(824\) | −11.0752 | − | 15.2437i | −0.385822 | − | 0.531038i | ||||
\(825\) | −29.7148 | − | 31.0906i | −1.03454 | − | 1.08243i | ||||
\(826\) | 2.84957 | + | 8.77006i | 0.0991491 | + | 0.305149i | ||||
\(827\) | −28.8605 | + | 39.7231i | −1.00358 | + | 1.38131i | −0.0804734 | + | 0.996757i | \(0.525643\pi\) |
−0.923104 | + | 0.384550i | \(0.874357\pi\) | |||||||
\(828\) | −0.0303585 | + | 0.280283i | −0.00105503 | + | 0.00974051i | ||||
\(829\) | −22.4757 | − | 7.30279i | −0.780612 | − | 0.253636i | −0.108511 | − | 0.994095i | \(-0.534608\pi\) |
−0.672102 | + | 0.740459i | \(0.734608\pi\) | |||||||
\(830\) | 2.22688 | − | 9.96033i | 0.0772960 | − | 0.345728i | ||||
\(831\) | 27.1951 | − | 33.4744i | 0.943388 | − | 1.16122i | ||||
\(832\) | 5.91596 | 0.205099 | ||||||||
\(833\) | −29.8953 | + | 9.71358i | −1.03581 | + | 0.336555i | ||||
\(834\) | 11.0528 | + | 0.596841i | 0.382729 | + | 0.0206669i | ||||
\(835\) | −18.6072 | − | 43.0041i | −0.643928 | − | 1.48822i | ||||
\(836\) | 31.3251 | 1.08340 | ||||||||
\(837\) | −8.88848 | − | 27.5317i | −0.307231 | − | 0.951635i | ||||
\(838\) | 8.45025i | 0.291909i | ||||||||
\(839\) | 3.89156 | − | 5.35627i | 0.134351 | − | 0.184919i | −0.736541 | − | 0.676393i | \(-0.763542\pi\) |
0.870892 | + | 0.491475i | \(0.163542\pi\) | |||||||
\(840\) | 7.75396 | − | 11.6294i | 0.267537 | − | 0.401253i | ||||
\(841\) | 3.89503 | + | 11.9877i | 0.134311 | + | 0.413368i | ||||
\(842\) | 4.98894 | 0.171930 | ||||||||
\(843\) | 9.35403 | + | 7.59935i | 0.322170 | + | 0.261735i | ||||
\(844\) | 0.507611 | + | 1.56227i | 0.0174727 | + | 0.0537754i | ||||
\(845\) | 32.5285 | + | 36.8997i | 1.11901 | + | 1.26939i | ||||
\(846\) | 5.94998 | + | 0.644463i | 0.204565 | + | 0.0221571i | ||||
\(847\) | −28.9794 | + | 39.8867i | −0.995744 | + | 1.37052i | ||||
\(848\) | 4.60787 | − | 1.49719i | 0.158235 | − | 0.0514137i | ||||
\(849\) | 0.132381 | + | 0.497207i | 0.00454331 | + | 0.0170641i | ||||
\(850\) | 11.1100 | − | 23.6044i | 0.381071 | − | 0.809624i | ||||
\(851\) | 0.494434 | + | 0.160651i | 0.0169490 | + | 0.00550706i | ||||
\(852\) | 1.40874 | + | 0.0760702i | 0.0482626 | + | 0.00260612i | ||||
\(853\) | −8.20871 | − | 11.2983i | −0.281061 | − | 0.386847i | 0.645024 | − | 0.764162i | \(-0.276847\pi\) |
−0.926085 | + | 0.377315i | \(0.876847\pi\) | |||||||
\(854\) | 13.4438 | − | 41.3757i | 0.460037 | − | 1.41585i | ||||
\(855\) | −40.4189 | + | 12.5238i | −1.38230 | + | 0.428305i | ||||
\(856\) | 2.36652 | + | 1.71938i | 0.0808859 | + | 0.0587671i | ||||
\(857\) | −17.0215 | − | 52.3868i | −0.581444 | − | 1.78950i | −0.613105 | − | 0.790002i | \(-0.710080\pi\) |
0.0316610 | − | 0.999499i | \(-0.489920\pi\) | |||||||
\(858\) | 49.1724 | − | 13.0921i | 1.67872 | − | 0.446957i | ||||
\(859\) | 23.3734 | + | 7.59448i | 0.797491 | + | 0.259120i | 0.679291 | − | 0.733869i | \(-0.262288\pi\) |
0.118200 | + | 0.992990i | \(0.462288\pi\) | |||||||
\(860\) | 5.31204 | + | 6.02588i | 0.181139 | + | 0.205481i | ||||
\(861\) | −28.2038 | − | 10.8778i | −0.961185 | − | 0.370715i | ||||
\(862\) | 6.55079i | 0.223121i | ||||||||
\(863\) | − | 38.2177i | − | 1.30095i | −0.759529 | − | 0.650473i | \(-0.774571\pi\) | ||
0.759529 | − | 0.650473i | \(-0.225429\pi\) | |||||||
\(864\) | −0.837276 | + | 5.12825i | −0.0284847 | + | 0.174467i | ||||
\(865\) | −0.234738 | − | 2.48448i | −0.00798132 | − | 0.0844747i | ||||
\(866\) | −0.620113 | − | 0.450539i | −0.0210723 | − | 0.0153099i | ||||
\(867\) | 11.1662 | − | 13.7444i | 0.379223 | − | 0.466785i | ||||
\(868\) | −17.9299 | − | 9.07074i | −0.608580 | − | 0.307881i | ||||
\(869\) | 85.4774i | 2.89962i | ||||||||
\(870\) | −6.75725 | + | 24.0501i | −0.229092 | + | 0.815375i | ||||
\(871\) | −30.2604 | − | 41.6499i | −1.02533 | − | 1.41125i | ||||
\(872\) | 4.68949 | + | 14.4328i | 0.158806 | + | 0.488755i | ||||
\(873\) | 3.77977 | − | 0.790888i | 0.127926 | − | 0.0267675i | ||||
\(874\) | − | 0.592780i | − | 0.0200511i | ||||||
\(875\) | 38.7487 | − | 11.2518i | 1.30994 | − | 0.380379i | ||||
\(876\) | −2.25207 | − | 3.47996i | −0.0760905 | − | 0.117577i | ||||
\(877\) | −1.40554 | − | 0.456688i | −0.0474618 | − | 0.0154213i | 0.285190 | − | 0.958471i | \(-0.407943\pi\) |
−0.332652 | + | 0.943050i | \(0.607943\pi\) | |||||||
\(878\) | −24.0534 | − | 17.4758i | −0.811762 | − | 0.589779i | ||||
\(879\) | −36.7455 | − | 14.1722i | −1.23939 | − | 0.478016i | ||||
\(880\) | 10.1913 | − | 4.40960i | 0.343547 | − | 0.148647i | ||||
\(881\) | 4.89388 | − | 3.55561i | 0.164879 | − | 0.119792i | −0.502286 | − | 0.864702i | \(-0.667508\pi\) |
0.667165 | + | 0.744910i | \(0.267508\pi\) | |||||||
\(882\) | 17.9684 | + | 1.94622i | 0.605027 | + | 0.0655326i | ||||
\(883\) | −36.6776 | + | 26.6478i | −1.23430 | + | 0.896771i | −0.997205 | − | 0.0747159i | \(-0.976195\pi\) |
−0.237094 | + | 0.971487i | \(0.576195\pi\) | |||||||
\(884\) | 18.1435 | + | 24.9723i | 0.610231 | + | 0.839910i | ||||
\(885\) | −0.398264 | − | 9.88802i | −0.0133875 | − | 0.332382i | ||||
\(886\) | 20.8129 | − | 15.1215i | 0.699223 | − | 0.508015i | ||||
\(887\) | −24.0597 | − | 17.4804i | −0.807845 | − | 0.586934i | 0.105360 | − | 0.994434i | \(-0.466401\pi\) |
−0.913205 | + | 0.407500i | \(0.866401\pi\) | |||||||
\(888\) | 8.94007 | + | 3.44805i | 0.300009 | + | 0.115709i | ||||
\(889\) | −4.02766 | + | 5.54360i | −0.135083 | + | 0.185926i | ||||
\(890\) | 4.65822 | + | 5.28420i | 0.156144 | + | 0.177127i | ||||
\(891\) | 4.38962 | + | 44.4780i | 0.147058 | + | 1.49007i | ||||
\(892\) | 0.283392 | + | 0.872191i | 0.00948867 | + | 0.0292031i | ||||
\(893\) | −12.5838 | −0.421101 | ||||||||
\(894\) | −23.1637 | − | 18.8186i | −0.774712 | − | 0.629387i | ||||
\(895\) | 18.2994 | + | 4.09128i | 0.611682 | + | 0.136756i | ||||
\(896\) | 2.12129 | + | 2.91970i | 0.0708672 | + | 0.0975403i | ||||
\(897\) | −0.247748 | − | 0.930512i | −0.00827208 | − | 0.0310689i | ||||
\(898\) | −14.6890 | −0.490179 | ||||||||
\(899\) | 35.4869 | + | 5.51577i | 1.18355 | + | 0.183961i | ||||
\(900\) | −11.3869 | + | 9.76419i | −0.379562 | + | 0.325473i | ||||
\(901\) | 20.4516 | + | 14.8590i | 0.681343 | + | 0.495025i | ||||
\(902\) | −14.1158 | − | 19.4288i | −0.470006 | − | 0.646908i | ||||
\(903\) | −8.08079 | + | 20.9517i | −0.268912 | + | 0.697231i | ||||
\(904\) | 10.9199 | 0.363189 | ||||||||
\(905\) | 28.4402 | + | 16.8212i | 0.945384 | + | 0.559157i | ||||
\(906\) | −7.40420 | + | 19.1975i | −0.245988 | + | 0.637794i | ||||
\(907\) | −13.0706 | − | 4.24690i | −0.434003 | − | 0.141016i | 0.0838643 | − | 0.996477i | \(-0.473274\pi\) |
−0.517867 | + | 0.855461i | \(0.673274\pi\) | |||||||
\(908\) | 0.0662395 | − | 0.203864i | 0.00219823 | − | 0.00676547i | ||||
\(909\) | −15.5204 | − | 6.96921i | −0.514779 | − | 0.231154i | ||||
\(910\) | −10.4165 | + | 46.5907i | −0.345303 | + | 1.54447i | ||||
\(911\) | −20.3150 | − | 14.7597i | −0.673064 | − | 0.489010i | 0.197985 | − | 0.980205i | \(-0.436560\pi\) |
−0.871050 | + | 0.491195i | \(0.836560\pi\) | |||||||
\(912\) | 0.589112 | − | 10.9097i | 0.0195075 | − | 0.361257i | ||||
\(913\) | 21.5573 | + | 7.00439i | 0.713442 | + | 0.231811i | ||||
\(914\) | 9.86729 | − | 7.16900i | 0.326381 | − | 0.237130i | ||||
\(915\) | −25.9001 | + | 38.8451i | −0.856232 | + | 1.28418i | ||||
\(916\) | −0.739978 | − | 0.240433i | −0.0244496 | − | 0.00794415i | ||||
\(917\) | 44.5481 | − | 32.3661i | 1.47111 | − | 1.06882i | ||||
\(918\) | −24.2151 | + | 12.1934i | −0.799217 | + | 0.402441i | ||||
\(919\) | 9.44663 | + | 29.0737i | 0.311616 | + | 0.959054i | 0.977125 | + | 0.212665i | \(0.0682143\pi\) |
−0.665509 | + | 0.746389i | \(0.731786\pi\) | |||||||
\(920\) | −0.0834449 | − | 0.192854i | −0.00275110 | − | 0.00635821i | ||||
\(921\) | −38.3130 | + | 24.7944i | −1.26246 | + | 0.817004i | ||||
\(922\) | −2.75089 | + | 8.46638i | −0.0905959 | + | 0.278825i | ||||
\(923\) | −4.58283 | + | 1.48905i | −0.150846 | + | 0.0490127i | ||||
\(924\) | 24.0931 | + | 19.5736i | 0.792604 | + | 0.643923i | ||||
\(925\) | 13.3234 | + | 24.2405i | 0.438072 | + | 0.797023i | ||||
\(926\) | −5.02432 | − | 15.4633i | −0.165109 | − | 0.508155i | ||||
\(927\) | −37.9568 | + | 41.8872i | −1.24666 | + | 1.37576i | ||||
\(928\) | −5.21829 | − | 3.79131i | −0.171299 | − | 0.124456i | ||||
\(929\) | 8.01004 | 0.262801 | 0.131400 | − | 0.991329i | \(-0.458053\pi\) | ||||
0.131400 | + | 0.991329i | \(0.458053\pi\) | |||||||
\(930\) | 15.8913 | + | 14.5762i | 0.521097 | + | 0.477973i | ||||
\(931\) | −38.0019 | −1.24546 | ||||||||
\(932\) | 2.11696 | + | 1.53806i | 0.0693434 | + | 0.0503809i | ||||
\(933\) | −50.8573 | − | 2.74624i | −1.66499 | − | 0.0899077i | ||||
\(934\) | 6.79716 | + | 20.9195i | 0.222410 | + | 0.684507i | ||||
\(935\) | 49.8689 | + | 29.4955i | 1.63089 | + | 0.964605i | ||||
\(936\) | −3.63489 | − | 17.3717i | −0.118810 | − | 0.567811i | ||||
\(937\) | −4.20833 | + | 1.36737i | −0.137480 | + | 0.0446700i | −0.376949 | − | 0.926234i | \(-0.623027\pi\) |
0.239469 | + | 0.970904i | \(0.423027\pi\) | |||||||
\(938\) | 9.70496 | − | 29.8688i | 0.316878 | − | 0.975251i | ||||
\(939\) | 22.8225 | + | 35.2659i | 0.744783 | + | 1.15086i | ||||
\(940\) | −4.09399 | + | 1.77141i | −0.133531 | + | 0.0577769i | ||||
\(941\) | −1.51008 | − | 4.64756i | −0.0492273 | − | 0.151506i | 0.923421 | − | 0.383788i | \(-0.125381\pi\) |
−0.972648 | + | 0.232282i | \(0.925381\pi\) | |||||||
\(942\) | 1.71890 | + | 6.45597i | 0.0560047 | + | 0.210347i | ||||
\(943\) | −0.367660 | + | 0.267121i | −0.0119727 | + | 0.00869865i | ||||
\(944\) | 2.43009 | + | 0.789584i | 0.0790927 | + | 0.0256988i | ||||
\(945\) | −38.9129 | − | 15.6234i | −1.26584 | − | 0.508230i | ||||
\(946\) | −14.4330 | + | 10.4862i | −0.469259 | + | 0.340936i | ||||
\(947\) | 34.3662 | + | 11.1663i | 1.11675 | + | 0.362855i | 0.808527 | − | 0.588459i | \(-0.200265\pi\) |
0.308225 | + | 0.951313i | \(0.400265\pi\) | |||||||
\(948\) | 29.7695 | + | 1.60752i | 0.966870 | + | 0.0522099i | ||||
\(949\) | 11.4540 | + | 8.32185i | 0.371814 | + | 0.270139i | ||||
\(950\) | 21.5924 | − | 22.9894i | 0.700550 | − | 0.745873i | ||||
\(951\) | 18.3313 | − | 4.88071i | 0.594434 | − | 0.158268i | ||||
\(952\) | −5.81887 | + | 17.9087i | −0.188591 | + | 0.580423i | ||||
\(953\) | −28.0584 | − | 9.11673i | −0.908901 | − | 0.295320i | −0.182995 | − | 0.983114i | \(-0.558579\pi\) |
−0.725906 | + | 0.687794i | \(0.758579\pi\) | |||||||
\(954\) | −7.22753 | − | 12.6107i | −0.234000 | − | 0.408286i | ||||
\(955\) | −51.0296 | − | 30.1820i | −1.65128 | − | 0.976665i | ||||
\(956\) | −12.1172 | −0.391897 | ||||||||
\(957\) | −51.7637 | − | 19.9645i | −1.67328 | − | 0.645361i | ||||
\(958\) | 10.0017 | + | 13.7662i | 0.323141 | + | 0.444766i | ||||
\(959\) | −36.4550 | − | 26.4861i | −1.17719 | − | 0.855282i | ||||
\(960\) | −1.34409 | − | 3.63228i | −0.0433802 | − | 0.117231i | ||||
\(961\) | 18.0765 | − | 25.1841i | 0.583112 | − | 0.812392i | ||||
\(962\) | −32.7280 | −1.05519 | ||||||||
\(963\) | 3.59475 | − | 8.00548i | 0.115839 | − | 0.257973i | ||||
\(964\) | 1.59054 | + | 2.18919i | 0.0512277 | + | 0.0705089i | ||||
\(965\) | 0.221283 | − | 0.989750i | 0.00712335 | − | 0.0318612i | ||||
\(966\) | 0.370400 | − | 0.455925i | 0.0119174 | − | 0.0146691i | ||||
\(967\) | 48.4989 | 1.55962 | 0.779810 | − | 0.626017i | \(-0.215316\pi\) | ||||
0.779810 | + | 0.626017i | \(0.215316\pi\) | |||||||
\(968\) | 4.22156 | + | 12.9926i | 0.135686 | + | 0.417598i | ||||
\(969\) | 47.8586 | − | 30.9719i | 1.53744 | − | 0.994961i | ||||
\(970\) | −2.15912 | + | 1.90335i | −0.0693252 | + | 0.0611128i | ||||
\(971\) | 20.7062 | − | 28.4996i | 0.664493 | − | 0.914597i | −0.335126 | − | 0.942173i | \(-0.608779\pi\) |
0.999620 | + | 0.0275765i | \(0.00877898\pi\) | |||||||
\(972\) | 15.5731 | − | 0.692321i | 0.499507 | − | 0.0222062i | ||||
\(973\) | −18.6588 | − | 13.5564i | −0.598174 | − | 0.434599i | ||||
\(974\) | −27.8304 | + | 20.2200i | −0.891743 | + | 0.647889i | ||||
\(975\) | 24.2863 | − | 45.1118i | 0.777783 | − | 1.44473i | ||||
\(976\) | −7.08562 | − | 9.75251i | −0.226805 | − | 0.312170i | ||||
\(977\) | 24.8731 | − | 18.0714i | 0.795762 | − | 0.578155i | −0.113905 | − | 0.993492i | \(-0.536336\pi\) |
0.909668 | + | 0.415336i | \(0.136336\pi\) | |||||||
\(978\) | 21.5508 | − | 13.9467i | 0.689119 | − | 0.445967i | ||||
\(979\) | −12.6566 | + | 9.19555i | −0.404506 | + | 0.293891i | ||||
\(980\) | −12.3635 | + | 5.34949i | −0.394937 | + | 0.170883i | ||||
\(981\) | 39.4992 | − | 22.6380i | 1.26111 | − | 0.722777i | ||||
\(982\) | −4.24568 | − | 3.08467i | −0.135485 | − | 0.0984358i | ||||
\(983\) | −7.22044 | − | 2.34606i | −0.230296 | − | 0.0748277i | 0.191596 | − | 0.981474i | \(-0.438634\pi\) |
−0.421892 | + | 0.906646i | \(0.638634\pi\) | |||||||
\(984\) | −7.03201 | + | 4.55079i | −0.224172 | + | 0.145074i | ||||
\(985\) | 6.84509 | − | 30.6166i | 0.218103 | − | 0.975526i | ||||
\(986\) | − | 33.6548i | − | 1.07179i | ||||||
\(987\) | −9.67858 | − | 7.86302i | −0.308073 | − | 0.250283i | ||||
\(988\) | 11.5317 | + | 35.4909i | 0.366872 | + | 1.12912i | ||||
\(989\) | 0.198436 | + | 0.273123i | 0.00630989 | + | 0.00868482i | ||||
\(990\) | −19.2101 | − | 27.2163i | −0.610537 | − | 0.864992i | ||||
\(991\) | − | 12.0576i | − | 0.383022i | −0.981490 | − | 0.191511i | \(-0.938661\pi\) | ||
0.981490 | − | 0.191511i | \(-0.0613388\pi\) | |||||||
\(992\) | −4.95361 | + | 2.54200i | −0.157277 | + | 0.0807086i | ||||
\(993\) | 44.7662 | + | 36.3687i | 1.42061 | + | 1.15413i | ||||
\(994\) | −2.37815 | − | 1.72783i | −0.0754305 | − | 0.0548034i | ||||
\(995\) | 28.9810 | − | 2.73817i | 0.918759 | − | 0.0868059i | ||||
\(996\) | 2.84486 | − | 7.37612i | 0.0901429 | − | 0.233721i | ||||
\(997\) | − | 8.81522i | − | 0.279181i | −0.990209 | − | 0.139590i | \(-0.955421\pi\) | ||
0.990209 | − | 0.139590i | \(-0.0445786\pi\) | |||||||
\(998\) | 26.7675i | 0.847310i | ||||||||
\(999\) | 4.63193 | − | 28.3702i | 0.146548 | − | 0.897595i |
(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 | 930.2.y.a.29.17 | yes | 128 | |
3.2 | odd | 2 | 930.2.y.b.29.31 | yes | 128 | ||
5.4 | even | 2 | 930.2.y.b.29.16 | yes | 128 | ||
15.14 | odd | 2 | inner | 930.2.y.a.29.2 | ✓ | 128 | |
31.15 | odd | 10 | inner | 930.2.y.a.449.2 | yes | 128 | |
93.77 | even | 10 | 930.2.y.b.449.16 | yes | 128 | ||
155.139 | odd | 10 | 930.2.y.b.449.31 | yes | 128 | ||
465.449 | even | 10 | inner | 930.2.y.a.449.17 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.y.a.29.2 | ✓ | 128 | 15.14 | odd | 2 | inner | |
930.2.y.a.29.17 | yes | 128 | 1.1 | even | 1 | trivial | |
930.2.y.a.449.2 | yes | 128 | 31.15 | odd | 10 | inner | |
930.2.y.a.449.17 | yes | 128 | 465.449 | even | 10 | inner | |
930.2.y.b.29.16 | yes | 128 | 5.4 | even | 2 | ||
930.2.y.b.29.31 | yes | 128 | 3.2 | odd | 2 | ||
930.2.y.b.449.16 | yes | 128 | 93.77 | even | 10 | ||
930.2.y.b.449.31 | yes | 128 | 155.139 | odd | 10 |