Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 119.15 | ||
Character | \(\chi\) | \(=\) | 300.119 |
Dual form | 300.2.r.a.179.15 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02850 | + | 0.970662i | −0.727260 | + | 0.686362i | ||||
\(3\) | −0.992477 | + | 1.41950i | −0.573007 | + | 0.819550i | ||||
\(4\) | 0.115630 | − | 1.99665i | 0.0578152 | − | 0.998327i | ||||
\(5\) | −1.30960 | + | 1.81244i | −0.585669 | + | 0.810550i | ||||
\(6\) | −0.357093 | − | 2.42332i | −0.145783 | − | 0.989317i | ||||
\(7\) | −1.82094 | −0.688249 | −0.344125 | − | 0.938924i | \(-0.611824\pi\) | ||||
−0.344125 | + | 0.938924i | \(0.611824\pi\) | |||||||
\(8\) | 1.81915 | + | 2.16580i | 0.643167 | + | 0.765726i | ||||
\(9\) | −1.02998 | − | 2.81765i | −0.343326 | − | 0.939216i | ||||
\(10\) | −0.412349 | − | 3.13528i | −0.130396 | − | 0.991462i | ||||
\(11\) | 0.247309 | + | 0.761138i | 0.0745664 | + | 0.229492i | 0.981392 | − | 0.192014i | \(-0.0615018\pi\) |
−0.906826 | + | 0.421506i | \(0.861502\pi\) | |||||||
\(12\) | 2.71950 | + | 2.14577i | 0.785051 | + | 0.619431i | ||||
\(13\) | −3.23099 | − | 1.04981i | −0.896116 | − | 0.291166i | −0.175483 | − | 0.984482i | \(-0.556149\pi\) |
−0.720633 | + | 0.693317i | \(0.756149\pi\) | |||||||
\(14\) | 1.87284 | − | 1.76751i | 0.500536 | − | 0.472388i | ||||
\(15\) | −1.27303 | − | 3.65779i | −0.328694 | − | 0.944437i | ||||
\(16\) | −3.97326 | − | 0.461748i | −0.993315 | − | 0.115437i | ||||
\(17\) | −0.461404 | − | 0.335230i | −0.111907 | − | 0.0813051i | 0.530424 | − | 0.847732i | \(-0.322033\pi\) |
−0.642331 | + | 0.766427i | \(0.722033\pi\) | |||||||
\(18\) | 3.79432 | + | 1.89820i | 0.894329 | + | 0.447409i | ||||
\(19\) | 4.02541 | − | 5.54050i | 0.923492 | − | 1.27108i | −0.0388525 | − | 0.999245i | \(-0.512370\pi\) |
0.962345 | − | 0.271833i | \(-0.0876298\pi\) | |||||||
\(20\) | 3.46740 | + | 2.82439i | 0.775334 | + | 0.631552i | ||||
\(21\) | 1.80724 | − | 2.58482i | 0.394372 | − | 0.564055i | ||||
\(22\) | −0.993166 | − | 0.542779i | −0.211744 | − | 0.115721i | ||||
\(23\) | −1.85496 | + | 0.602713i | −0.386786 | + | 0.125674i | −0.495954 | − | 0.868349i | \(-0.665181\pi\) |
0.109168 | + | 0.994023i | \(0.465181\pi\) | |||||||
\(24\) | −4.87983 | + | 0.432783i | −0.996090 | + | 0.0883414i | ||||
\(25\) | −1.56991 | − | 4.74714i | −0.313982 | − | 0.949429i | ||||
\(26\) | 4.34210 | − | 2.05647i | 0.851555 | − | 0.403307i | ||||
\(27\) | 5.02189 | + | 1.33440i | 0.966463 | + | 0.256805i | ||||
\(28\) | −0.210555 | + | 3.63578i | −0.0397912 | + | 0.687098i | ||||
\(29\) | −1.66916 | − | 2.29741i | −0.309956 | − | 0.426618i | 0.625411 | − | 0.780295i | \(-0.284931\pi\) |
−0.935368 | + | 0.353677i | \(0.884931\pi\) | |||||||
\(30\) | 4.85978 | + | 2.52636i | 0.887271 | + | 0.461248i | ||||
\(31\) | −2.38209 | + | 3.27867i | −0.427837 | + | 0.588867i | −0.967455 | − | 0.253043i | \(-0.918569\pi\) |
0.539618 | + | 0.841910i | \(0.318569\pi\) | |||||||
\(32\) | 4.53470 | − | 3.38178i | 0.801630 | − | 0.597821i | ||||
\(33\) | −1.32589 | − | 0.404357i | −0.230807 | − | 0.0703895i | ||||
\(34\) | 0.799949 | − | 0.103083i | 0.137190 | − | 0.0176786i | ||||
\(35\) | 2.38469 | − | 3.30035i | 0.403087 | − | 0.557860i | ||||
\(36\) | −5.74497 | + | 1.73070i | −0.957495 | + | 0.288451i | ||||
\(37\) | 3.42585 | + | 1.11313i | 0.563207 | + | 0.182997i | 0.576764 | − | 0.816911i | \(-0.304315\pi\) |
−0.0135567 | + | 0.999908i | \(0.504315\pi\) | |||||||
\(38\) | 1.23781 | + | 9.60572i | 0.200800 | + | 1.55825i | ||||
\(39\) | 4.69690 | − | 3.54449i | 0.752106 | − | 0.567572i | ||||
\(40\) | −6.30775 | + | 0.460786i | −0.997342 | + | 0.0728566i | ||||
\(41\) | −10.0468 | − | 3.26439i | −1.56904 | − | 0.509812i | −0.609836 | − | 0.792528i | \(-0.708765\pi\) |
−0.959204 | + | 0.282716i | \(0.908765\pi\) | |||||||
\(42\) | 0.650244 | + | 4.41271i | 0.100335 | + | 0.680896i | ||||
\(43\) | 5.23402 | 0.798181 | 0.399090 | − | 0.916912i | \(-0.369326\pi\) | ||||
0.399090 | + | 0.916912i | \(0.369326\pi\) | |||||||
\(44\) | 1.54833 | − | 0.405780i | 0.233419 | − | 0.0611736i | ||||
\(45\) | 6.45569 | + | 1.82321i | 0.962357 | + | 0.271788i | ||||
\(46\) | 1.32280 | − | 2.42043i | 0.195036 | − | 0.356873i | ||||
\(47\) | −6.91025 | − | 9.51115i | −1.00796 | − | 1.38734i | −0.920309 | − | 0.391192i | \(-0.872063\pi\) |
−0.0876549 | − | 0.996151i | \(-0.527937\pi\) | |||||||
\(48\) | 4.59882 | − | 5.18178i | 0.663783 | − | 0.747925i | ||||
\(49\) | −3.68419 | −0.526313 | ||||||||
\(50\) | 6.22253 | + | 3.35859i | 0.879999 | + | 0.474976i | ||||
\(51\) | 0.933792 | − | 0.322256i | 0.130757 | − | 0.0451249i | ||||
\(52\) | −2.46972 | + | 6.32979i | −0.342488 | + | 0.877784i | ||||
\(53\) | −6.16323 | + | 4.47785i | −0.846585 | + | 0.615080i | −0.924202 | − | 0.381903i | \(-0.875269\pi\) |
0.0776171 | + | 0.996983i | \(0.475269\pi\) | |||||||
\(54\) | −6.46027 | + | 3.50213i | −0.879131 | + | 0.476579i | ||||
\(55\) | −1.70340 | − | 0.548551i | −0.229686 | − | 0.0739666i | ||||
\(56\) | −3.31256 | − | 3.94378i | −0.442659 | − | 0.527010i | ||||
\(57\) | 3.86963 | + | 11.2129i | 0.512545 | + | 1.48518i | ||||
\(58\) | 3.94674 | + | 0.742693i | 0.518233 | + | 0.0975203i | ||||
\(59\) | −2.59431 | + | 7.98448i | −0.337751 | + | 1.03949i | 0.627600 | + | 0.778536i | \(0.284037\pi\) |
−0.965351 | + | 0.260955i | \(0.915963\pi\) | |||||||
\(60\) | −7.45054 | + | 2.11884i | −0.961860 | + | 0.273541i | ||||
\(61\) | 4.03533 | + | 12.4195i | 0.516671 | + | 1.59015i | 0.780221 | + | 0.625504i | \(0.215107\pi\) |
−0.263550 | + | 0.964646i | \(0.584893\pi\) | |||||||
\(62\) | −0.732495 | − | 5.68433i | −0.0930269 | − | 0.721910i | ||||
\(63\) | 1.87552 | + | 5.13076i | 0.236294 | + | 0.646415i | ||||
\(64\) | −1.38138 | + | 7.87983i | −0.172672 | + | 0.984979i | ||||
\(65\) | 6.13403 | − | 4.48116i | 0.760832 | − | 0.555820i | ||||
\(66\) | 1.75617 | − | 0.871106i | 0.216170 | − | 0.107226i | ||||
\(67\) | −7.80141 | − | 5.66806i | −0.953094 | − | 0.692464i | −0.00155776 | − | 0.999999i | \(-0.500496\pi\) |
−0.951537 | + | 0.307535i | \(0.900496\pi\) | |||||||
\(68\) | −0.722690 | + | 0.882502i | −0.0876390 | + | 0.107019i | ||||
\(69\) | 0.985452 | − | 3.23130i | 0.118635 | − | 0.389003i | ||||
\(70\) | 0.750862 | + | 5.70914i | 0.0897451 | + | 0.682373i | ||||
\(71\) | −9.89629 | + | 7.19008i | −1.17447 | + | 0.853305i | −0.991538 | − | 0.129819i | \(-0.958560\pi\) |
−0.182936 | + | 0.983125i | \(0.558560\pi\) | |||||||
\(72\) | 4.22878 | − | 7.35645i | 0.498367 | − | 0.866966i | ||||
\(73\) | −12.0129 | + | 3.90322i | −1.40600 | + | 0.456837i | −0.911126 | − | 0.412128i | \(-0.864786\pi\) |
−0.494874 | + | 0.868965i | \(0.664786\pi\) | |||||||
\(74\) | −4.60397 | + | 2.18049i | −0.535200 | + | 0.253477i | ||||
\(75\) | 8.29669 | + | 2.48294i | 0.958019 | + | 0.286705i | ||||
\(76\) | −10.5970 | − | 8.67800i | −1.21556 | − | 0.995435i | ||||
\(77\) | −0.450334 | − | 1.38598i | −0.0513203 | − | 0.157948i | ||||
\(78\) | −1.39027 | + | 8.20461i | −0.157417 | + | 0.928990i | ||||
\(79\) | 0.222877 | + | 0.306764i | 0.0250756 | + | 0.0345136i | 0.821371 | − | 0.570395i | \(-0.193210\pi\) |
−0.796295 | + | 0.604908i | \(0.793210\pi\) | |||||||
\(80\) | 6.04026 | − | 6.59661i | 0.675322 | − | 0.737523i | ||||
\(81\) | −6.87829 | + | 5.80423i | −0.764255 | + | 0.644914i | ||||
\(82\) | 13.5017 | − | 6.39458i | 1.49102 | − | 0.706163i | ||||
\(83\) | −3.26571 | + | 4.49487i | −0.358459 | + | 0.493376i | −0.949719 | − | 0.313105i | \(-0.898631\pi\) |
0.591260 | + | 0.806481i | \(0.298631\pi\) | |||||||
\(84\) | −4.95203 | − | 3.90731i | −0.540311 | − | 0.426323i | ||||
\(85\) | 1.21184 | − | 0.397254i | 0.131442 | − | 0.0430882i | ||||
\(86\) | −5.38320 | + | 5.08046i | −0.580485 | + | 0.547841i | ||||
\(87\) | 4.91779 | − | 0.0892587i | 0.527242 | − | 0.00956954i | ||||
\(88\) | −1.19858 | + | 1.92025i | −0.127769 | + | 0.204699i | ||||
\(89\) | 12.8868 | − | 4.18717i | 1.36600 | − | 0.443839i | 0.467956 | − | 0.883752i | \(-0.344991\pi\) |
0.898041 | + | 0.439912i | \(0.144991\pi\) | |||||||
\(90\) | −8.40940 | + | 4.39112i | −0.886429 | + | 0.462865i | ||||
\(91\) | 5.88343 | + | 1.91164i | 0.616751 | + | 0.200395i | ||||
\(92\) | 0.988920 | + | 3.77340i | 0.103102 | + | 0.393405i | ||||
\(93\) | −2.28991 | − | 6.63540i | −0.237452 | − | 0.688058i | ||||
\(94\) | 16.3393 | + | 3.07471i | 1.68527 | + | 0.317132i | ||||
\(95\) | 4.77019 | + | 14.5517i | 0.489411 | + | 1.49297i | ||||
\(96\) | 0.299861 | + | 9.79337i | 0.0306045 | + | 0.999532i | ||||
\(97\) | −0.331073 | − | 0.455683i | −0.0336153 | − | 0.0462676i | 0.791879 | − | 0.610679i | \(-0.209103\pi\) |
−0.825494 | + | 0.564411i | \(0.809103\pi\) | |||||||
\(98\) | 3.78920 | − | 3.57610i | 0.382767 | − | 0.361241i | ||||
\(99\) | 1.88990 | − | 1.48078i | 0.189942 | − | 0.148824i | ||||
\(100\) | −9.65994 | + | 2.58566i | −0.965994 | + | 0.258566i | ||||
\(101\) | 1.23431i | 0.122818i | 0.998113 | + | 0.0614091i | \(0.0195594\pi\) | ||||
−0.998113 | + | 0.0614091i | \(0.980441\pi\) | |||||||
\(102\) | −0.647605 | + | 1.23784i | −0.0641224 | + | 0.122564i | ||||
\(103\) | −4.93809 | + | 3.58773i | −0.486564 | + | 0.353510i | −0.803862 | − | 0.594816i | \(-0.797225\pi\) |
0.317297 | + | 0.948326i | \(0.397225\pi\) | |||||||
\(104\) | −3.60398 | − | 8.90745i | −0.353399 | − | 0.873448i | ||||
\(105\) | 2.31810 | + | 6.66060i | 0.226223 | + | 0.650008i | ||||
\(106\) | 1.99241 | − | 10.5879i | 0.193520 | − | 1.02839i | ||||
\(107\) | 1.00404i | 0.0970639i | 0.998822 | + | 0.0485319i | \(0.0154543\pi\) | ||||
−0.998822 | + | 0.0485319i | \(0.984546\pi\) | |||||||
\(108\) | 3.24501 | − | 9.87268i | 0.312252 | − | 0.949999i | ||||
\(109\) | 6.02193 | − | 18.5336i | 0.576796 | − | 1.77520i | −0.0531824 | − | 0.998585i | \(-0.516936\pi\) |
0.629979 | − | 0.776612i | \(-0.283064\pi\) | |||||||
\(110\) | 2.28440 | − | 1.08924i | 0.217809 | − | 0.103855i | ||||
\(111\) | −4.98017 | + | 3.75826i | −0.472697 | + | 0.356718i | ||||
\(112\) | 7.23505 | + | 0.840813i | 0.683648 | + | 0.0794494i | ||||
\(113\) | 3.24909 | − | 9.99968i | 0.305649 | − | 0.940691i | −0.673785 | − | 0.738927i | \(-0.735333\pi\) |
0.979434 | − | 0.201764i | \(-0.0646673\pi\) | |||||||
\(114\) | −14.8639 | − | 7.77638i | −1.39213 | − | 0.728325i | ||||
\(115\) | 1.33687 | − | 4.15132i | 0.124663 | − | 0.387113i | ||||
\(116\) | −4.78014 | + | 3.06709i | −0.443824 | + | 0.284773i | ||||
\(117\) | 0.369844 | + | 10.1851i | 0.0341921 | + | 0.941612i | ||||
\(118\) | −5.08198 | − | 10.7303i | −0.467834 | − | 0.987800i | ||||
\(119\) | 0.840187 | + | 0.610432i | 0.0770198 | + | 0.0559582i | ||||
\(120\) | 5.60621 | − | 9.41119i | 0.511775 | − | 0.859120i | ||||
\(121\) | 8.38102 | − | 6.08917i | 0.761911 | − | 0.553560i | ||||
\(122\) | −16.2054 | − | 8.85650i | −1.46717 | − | 0.801830i | ||||
\(123\) | 14.6050 | − | 11.0216i | 1.31689 | − | 0.993781i | ||||
\(124\) | 6.27093 | + | 5.13533i | 0.563146 | + | 0.461166i | ||||
\(125\) | 10.6599 | + | 3.37146i | 0.953449 | + | 0.301553i | ||||
\(126\) | −6.90921 | − | 3.45649i | −0.615521 | − | 0.307929i | ||||
\(127\) | −0.355933 | − | 1.09545i | −0.0315839 | − | 0.0972053i | 0.934022 | − | 0.357216i | \(-0.116274\pi\) |
−0.965606 | + | 0.260011i | \(0.916274\pi\) | |||||||
\(128\) | −6.22790 | − | 9.44527i | −0.550474 | − | 0.834852i | ||||
\(129\) | −5.19465 | + | 7.42971i | −0.457363 | + | 0.654149i | ||||
\(130\) | −1.95916 | + | 10.5630i | −0.171830 | + | 0.926432i | ||||
\(131\) | 1.69523 | + | 1.23165i | 0.148113 | + | 0.107610i | 0.659374 | − | 0.751815i | \(-0.270822\pi\) |
−0.511261 | + | 0.859425i | \(0.670822\pi\) | |||||||
\(132\) | −0.960674 | + | 2.60058i | −0.0836159 | + | 0.226352i | ||||
\(133\) | −7.33001 | + | 10.0889i | −0.635593 | + | 0.874818i | ||||
\(134\) | 13.5255 | − | 1.74293i | 1.16843 | − | 0.150566i | ||||
\(135\) | −8.99517 | + | 7.35438i | −0.774181 | + | 0.632964i | ||||
\(136\) | −0.113323 | − | 1.60914i | −0.00971738 | − | 0.137983i | ||||
\(137\) | −0.813605 | + | 2.50402i | −0.0695110 | + | 0.213933i | −0.979778 | − | 0.200090i | \(-0.935877\pi\) |
0.910267 | + | 0.414023i | \(0.135877\pi\) | |||||||
\(138\) | 2.12296 | + | 4.27994i | 0.180718 | + | 0.364332i | ||||
\(139\) | −10.9638 | + | 3.56235i | −0.929936 | + | 0.302155i | −0.734537 | − | 0.678569i | \(-0.762600\pi\) |
−0.195400 | + | 0.980724i | \(0.562600\pi\) | |||||||
\(140\) | −6.31391 | − | 5.14303i | −0.533623 | − | 0.434665i | ||||
\(141\) | 20.3594 | − | 0.369526i | 1.71457 | − | 0.0311197i | ||||
\(142\) | 3.19922 | − | 17.0010i | 0.268472 | − | 1.42669i | ||||
\(143\) | − | 2.71886i | − | 0.227363i | ||||||
\(144\) | 2.79132 | + | 11.6708i | 0.232610 | + | 0.972570i | ||||
\(145\) | 6.34986 | − | 0.0165905i | 0.527327 | − | 0.00137777i | ||||
\(146\) | 8.56655 | − | 15.6749i | 0.708973 | − | 1.29726i | ||||
\(147\) | 3.65648 | − | 5.22972i | 0.301581 | − | 0.431340i | ||||
\(148\) | 2.61866 | − | 6.71154i | 0.215253 | − | 0.551685i | ||||
\(149\) | − | 7.95239i | − | 0.651485i | −0.945459 | − | 0.325742i | \(-0.894386\pi\) | ||
0.945459 | − | 0.325742i | \(-0.105614\pi\) | |||||||
\(150\) | −10.9432 | + | 5.49957i | −0.893512 | + | 0.449038i | ||||
\(151\) | 13.9119i | 1.13213i | 0.824360 | + | 0.566065i | \(0.191535\pi\) | ||||
−0.824360 | + | 0.566065i | \(0.808465\pi\) | |||||||
\(152\) | 19.3224 | − | 1.36077i | 1.56726 | − | 0.110373i | ||||
\(153\) | −0.469324 | + | 1.64535i | −0.0379426 | + | 0.133019i | ||||
\(154\) | 1.80849 | + | 0.988365i | 0.145732 | + | 0.0796447i | ||||
\(155\) | −2.82283 | − | 8.61115i | −0.226735 | − | 0.691664i | ||||
\(156\) | −6.53402 | − | 9.78794i | −0.523140 | − | 0.783662i | ||||
\(157\) | 9.44912i | 0.754122i | 0.926188 | + | 0.377061i | \(0.123065\pi\) | ||||
−0.926188 | + | 0.377061i | \(0.876935\pi\) | |||||||
\(158\) | −0.526993 | − | 0.0991688i | −0.0419253 | − | 0.00788945i | ||||
\(159\) | −0.239454 | − | 13.1929i | −0.0189899 | − | 1.04626i | ||||
\(160\) | 0.190663 | + | 12.6477i | 0.0150732 | + | 0.999886i | ||||
\(161\) | 3.37776 | − | 1.09750i | 0.266205 | − | 0.0864952i | ||||
\(162\) | 1.44039 | − | 12.6462i | 0.113168 | − | 0.993576i | ||||
\(163\) | 6.32363 | − | 19.4621i | 0.495305 | − | 1.52439i | −0.321175 | − | 0.947020i | \(-0.604078\pi\) |
0.816480 | − | 0.577373i | \(-0.195922\pi\) | |||||||
\(164\) | −7.67957 | + | 19.6824i | −0.599674 | + | 1.53694i | ||||
\(165\) | 2.46925 | − | 1.87355i | 0.192231 | − | 0.145856i | ||||
\(166\) | −1.00421 | − | 7.79289i | −0.0779417 | − | 0.604845i | ||||
\(167\) | −0.0489748 | + | 0.0674080i | −0.00378978 | + | 0.00521619i | −0.810908 | − | 0.585174i | \(-0.801026\pi\) |
0.807118 | + | 0.590390i | \(0.201026\pi\) | |||||||
\(168\) | 8.88585 | − | 0.788069i | 0.685558 | − | 0.0608009i | ||||
\(169\) | −1.18001 | − | 0.857329i | −0.0907701 | − | 0.0659484i | ||||
\(170\) | −0.860778 | + | 1.58486i | −0.0660187 | + | 0.121553i | ||||
\(171\) | −19.7573 | − | 5.63560i | −1.51088 | − | 0.430965i | ||||
\(172\) | 0.605211 | − | 10.4505i | 0.0461469 | − | 0.796845i | ||||
\(173\) | 2.07273 | + | 6.37921i | 0.157587 | + | 0.485002i | 0.998414 | − | 0.0563017i | \(-0.0179309\pi\) |
−0.840827 | + | 0.541304i | \(0.817931\pi\) | |||||||
\(174\) | −4.97131 | + | 4.86531i | −0.376874 | + | 0.368838i | ||||
\(175\) | 2.85871 | + | 8.64425i | 0.216098 | + | 0.653444i | ||||
\(176\) | −0.631168 | − | 3.13839i | −0.0475761 | − | 0.236565i | ||||
\(177\) | −8.75919 | − | 11.6071i | −0.658381 | − | 0.872440i | ||||
\(178\) | −9.18975 | + | 16.8152i | −0.688801 | + | 1.26035i | ||||
\(179\) | −9.23271 | + | 6.70796i | −0.690085 | + | 0.501376i | −0.876688 | − | 0.481059i | \(-0.840252\pi\) |
0.186603 | + | 0.982435i | \(0.440252\pi\) | |||||||
\(180\) | 4.38679 | − | 12.6790i | 0.326972 | − | 0.945034i | ||||
\(181\) | 5.93997 | + | 4.31564i | 0.441515 | + | 0.320779i | 0.786237 | − | 0.617926i | \(-0.212027\pi\) |
−0.344722 | + | 0.938705i | \(0.612027\pi\) | |||||||
\(182\) | −7.90668 | + | 3.74470i | −0.586082 | + | 0.277575i | ||||
\(183\) | −21.6344 | − | 6.59788i | −1.59926 | − | 0.487729i | ||||
\(184\) | −4.67981 | − | 2.92105i | −0.345000 | − | 0.215342i | ||||
\(185\) | −6.50397 | + | 4.75142i | −0.478181 | + | 0.349332i | ||||
\(186\) | 8.79590 | + | 4.60179i | 0.644947 | + | 0.337419i | ||||
\(187\) | 0.141047 | − | 0.434097i | 0.0103144 | − | 0.0317444i | ||||
\(188\) | −19.7895 | + | 12.6976i | −1.44330 | + | 0.926068i | ||||
\(189\) | −9.14454 | − | 2.42985i | −0.665168 | − | 0.176746i | ||||
\(190\) | −19.0309 | − | 10.3362i | −1.38065 | − | 0.749863i | ||||
\(191\) | 7.52546 | − | 23.1610i | 0.544523 | − | 1.67587i | −0.177597 | − | 0.984103i | \(-0.556832\pi\) |
0.722120 | − | 0.691767i | \(-0.243168\pi\) | |||||||
\(192\) | −9.81446 | − | 9.78143i | −0.708298 | − | 0.705914i | ||||
\(193\) | 2.22720i | 0.160317i | 0.996782 | + | 0.0801586i | \(0.0255427\pi\) | ||||
−0.996782 | + | 0.0801586i | \(0.974457\pi\) | |||||||
\(194\) | 0.782823 | + | 0.147310i | 0.0562034 | + | 0.0105763i | ||||
\(195\) | 0.273144 | + | 13.1547i | 0.0195602 | + | 0.942029i | ||||
\(196\) | −0.426004 | + | 7.35606i | −0.0304289 | + | 0.525433i | ||||
\(197\) | −3.52656 | + | 2.56220i | −0.251257 | + | 0.182549i | −0.706284 | − | 0.707929i | \(-0.749630\pi\) |
0.455027 | + | 0.890478i | \(0.349630\pi\) | |||||||
\(198\) | −0.506421 | + | 3.35744i | −0.0359898 | + | 0.238603i | ||||
\(199\) | 22.2330i | 1.57605i | 0.615642 | + | 0.788026i | \(0.288897\pi\) | ||||
−0.615642 | + | 0.788026i | \(0.711103\pi\) | |||||||
\(200\) | 7.42546 | − | 12.0359i | 0.525059 | − | 0.851066i | ||||
\(201\) | 15.7886 | − | 5.44871i | 1.11364 | − | 0.384322i | ||||
\(202\) | −1.19810 | − | 1.26949i | −0.0842978 | − | 0.0893209i | ||||
\(203\) | 3.03944 | + | 4.18343i | 0.213327 | + | 0.293619i | ||||
\(204\) | −0.535460 | − | 1.90172i | −0.0374897 | − | 0.133147i | ||||
\(205\) | 19.0737 | − | 13.9342i | 1.33217 | − | 0.973204i | ||||
\(206\) | 1.59636 | − | 8.48320i | 0.111223 | − | 0.591053i | ||||
\(207\) | 3.60880 | + | 4.60584i | 0.250829 | + | 0.320128i | ||||
\(208\) | 12.3528 | + | 5.66308i | 0.856514 | + | 0.392664i | ||||
\(209\) | 5.21261 | + | 1.69368i | 0.360563 | + | 0.117154i | ||||
\(210\) | −8.84936 | − | 4.60034i | −0.610664 | − | 0.317454i | ||||
\(211\) | 9.80805 | − | 3.18683i | 0.675214 | − | 0.219390i | 0.0487152 | − | 0.998813i | \(-0.484487\pi\) |
0.626499 | + | 0.779422i | \(0.284487\pi\) | |||||||
\(212\) | 8.22807 | + | 12.8236i | 0.565106 | + | 0.880730i | ||||
\(213\) | −0.384490 | − | 21.1838i | −0.0263448 | − | 1.45149i | ||||
\(214\) | −0.974580 | − | 1.03265i | −0.0666209 | − | 0.0705907i | ||||
\(215\) | −6.85446 | + | 9.48637i | −0.467470 | + | 0.646965i | ||||
\(216\) | 6.24554 | + | 13.3039i | 0.424955 | + | 0.905214i | ||||
\(217\) | 4.33764 | − | 5.97025i | 0.294458 | − | 0.405287i | ||||
\(218\) | 11.7963 | + | 24.9071i | 0.798946 | + | 1.68692i | ||||
\(219\) | 6.38187 | − | 20.9262i | 0.431247 | − | 1.41406i | ||||
\(220\) | −1.29223 | + | 3.33766i | −0.0871222 | + | 0.225025i | ||||
\(221\) | 1.13886 | + | 1.56751i | 0.0766083 | + | 0.105442i | ||||
\(222\) | 1.47412 | − | 8.69943i | 0.0989362 | − | 0.583868i | ||||
\(223\) | −1.98071 | − | 6.09600i | −0.132638 | − | 0.408218i | 0.862577 | − | 0.505926i | \(-0.168849\pi\) |
−0.995215 | + | 0.0977075i | \(0.968849\pi\) | |||||||
\(224\) | −8.25741 | + | 6.15801i | −0.551721 | + | 0.411450i | ||||
\(225\) | −11.7588 | + | 9.31291i | −0.783921 | + | 0.620861i | ||||
\(226\) | 6.36461 | + | 13.4385i | 0.423368 | + | 0.893913i | ||||
\(227\) | −6.19562 | + | 2.01308i | −0.411218 | + | 0.133613i | −0.507318 | − | 0.861759i | \(-0.669363\pi\) |
0.0961004 | + | 0.995372i | \(0.469363\pi\) | |||||||
\(228\) | 22.8357 | − | 6.42976i | 1.51233 | − | 0.425821i | ||||
\(229\) | −12.7239 | + | 9.24448i | −0.840821 | + | 0.610892i | −0.922600 | − | 0.385758i | \(-0.873940\pi\) |
0.0817789 | + | 0.996650i | \(0.473940\pi\) | |||||||
\(230\) | 2.65456 | + | 5.56728i | 0.175037 | + | 0.367096i | ||||
\(231\) | 2.41435 | + | 0.736308i | 0.158853 | + | 0.0484455i | ||||
\(232\) | 1.93926 | − | 7.79441i | 0.127319 | − | 0.511728i | ||||
\(233\) | 18.0172 | + | 13.0903i | 1.18035 | + | 0.857573i | 0.992211 | − | 0.124570i | \(-0.0397551\pi\) |
0.188137 | + | 0.982143i | \(0.439755\pi\) | |||||||
\(234\) | −10.2667 | − | 10.1164i | −0.671153 | − | 0.661329i | ||||
\(235\) | 26.2881 | − | 0.0686840i | 1.71484 | − | 0.00448045i | ||||
\(236\) | 15.6423 | + | 6.10320i | 1.01822 | + | 0.397284i | ||||
\(237\) | −0.656653 | + | 0.0119184i | −0.0426542 | + | 0.000774181i | ||||
\(238\) | −1.45666 | + | 0.187708i | −0.0944210 | + | 0.0121673i | ||||
\(239\) | 0.384409 | + | 1.18309i | 0.0248653 | + | 0.0765276i | 0.962719 | − | 0.270503i | \(-0.0871900\pi\) |
−0.937854 | + | 0.347031i | \(0.887190\pi\) | |||||||
\(240\) | 3.36909 | + | 15.1212i | 0.217474 | + | 0.976066i | ||||
\(241\) | −3.61439 | + | 11.1239i | −0.232823 | + | 0.716556i | 0.764579 | + | 0.644529i | \(0.222947\pi\) |
−0.997403 | + | 0.0720267i | \(0.977053\pi\) | |||||||
\(242\) | −2.70937 | + | 14.3979i | −0.174165 | + | 0.925529i | ||||
\(243\) | −1.41257 | − | 15.5243i | −0.0906165 | − | 0.995886i | ||||
\(244\) | 25.2640 | − | 6.62109i | 1.61736 | − | 0.423872i | ||||
\(245\) | 4.82481 | − | 6.67739i | 0.308245 | − | 0.426603i | ||||
\(246\) | −4.32303 | + | 25.5122i | −0.275627 | + | 1.62660i | ||||
\(247\) | −18.8226 | + | 13.6754i | −1.19765 | + | 0.870144i | ||||
\(248\) | −11.4343 | + | 0.805258i | −0.726081 | + | 0.0511339i | ||||
\(249\) | −3.13933 | − | 9.09675i | −0.198947 | − | 0.576483i | ||||
\(250\) | −14.2363 | + | 6.87959i | −0.900380 | + | 0.435104i | ||||
\(251\) | 23.4563 | 1.48055 | 0.740273 | − | 0.672307i | \(-0.234696\pi\) | ||||
0.740273 | + | 0.672307i | \(0.234696\pi\) | |||||||
\(252\) | 10.4612 | − | 3.15150i | 0.658995 | − | 0.198526i | ||||
\(253\) | −0.917496 | − | 1.26282i | −0.0576825 | − | 0.0793931i | ||||
\(254\) | 1.42939 | + | 0.781179i | 0.0896877 | + | 0.0490156i | ||||
\(255\) | −0.638819 | + | 2.11447i | −0.0400044 | + | 0.132413i | ||||
\(256\) | 15.5736 | + | 3.66929i | 0.973349 | + | 0.229330i | ||||
\(257\) | −25.9997 | −1.62182 | −0.810908 | − | 0.585174i | \(-0.801026\pi\) | ||||
−0.810908 | + | 0.585174i | \(0.801026\pi\) | |||||||
\(258\) | −1.86903 | − | 12.6837i | −0.116361 | − | 0.789653i | ||||
\(259\) | −6.23826 | − | 2.02693i | −0.387627 | − | 0.125948i | ||||
\(260\) | −8.23806 | − | 12.7657i | −0.510903 | − | 0.791695i | ||||
\(261\) | −4.75409 | + | 7.06940i | −0.294271 | + | 0.437585i | ||||
\(262\) | −2.93906 | + | 0.378734i | −0.181576 | + | 0.0233983i | ||||
\(263\) | −6.97976 | − | 2.26786i | −0.430391 | − | 0.139842i | 0.0858073 | − | 0.996312i | \(-0.472653\pi\) |
−0.516198 | + | 0.856469i | \(0.672653\pi\) | |||||||
\(264\) | −1.53623 | − | 3.60719i | −0.0945485 | − | 0.222007i | ||||
\(265\) | −0.0445073 | − | 17.0347i | −0.00273406 | − | 1.04643i | ||||
\(266\) | −2.25398 | − | 17.4914i | −0.138200 | − | 1.07247i | ||||
\(267\) | −6.84614 | + | 22.4485i | −0.418977 | + | 1.37383i | ||||
\(268\) | −12.2192 | + | 14.9213i | −0.746409 | + | 0.911465i | ||||
\(269\) | −12.1764 | + | 16.7593i | −0.742406 | + | 1.02183i | 0.256071 | + | 0.966658i | \(0.417572\pi\) |
−0.998477 | + | 0.0551761i | \(0.982428\pi\) | |||||||
\(270\) | 2.11293 | − | 16.2953i | 0.128589 | − | 0.991698i | ||||
\(271\) | 1.70072 | + | 2.34083i | 0.103311 | + | 0.142196i | 0.857542 | − | 0.514413i | \(-0.171990\pi\) |
−0.754231 | + | 0.656609i | \(0.771990\pi\) | |||||||
\(272\) | 1.67849 | + | 1.54501i | 0.101773 | + | 0.0936798i | ||||
\(273\) | −8.55276 | + | 6.45429i | −0.517636 | + | 0.390631i | ||||
\(274\) | −1.59376 | − | 3.36512i | −0.0962827 | − | 0.203294i | ||||
\(275\) | 3.22498 | − | 2.36893i | 0.194474 | − | 0.142852i | ||||
\(276\) | −6.33784 | − | 2.34124i | −0.381493 | − | 0.140926i | ||||
\(277\) | −18.9590 | + | 6.16014i | −1.13913 | + | 0.370127i | −0.817040 | − | 0.576581i | \(-0.804386\pi\) |
−0.322093 | + | 0.946708i | \(0.604386\pi\) | |||||||
\(278\) | 7.81843 | − | 14.3060i | 0.468918 | − | 0.858018i | ||||
\(279\) | 11.6916 | + | 3.33495i | 0.699961 | + | 0.199658i | ||||
\(280\) | 11.4860 | − | 0.839061i | 0.686420 | − | 0.0501435i | ||||
\(281\) | −1.88448 | + | 2.59377i | −0.112419 | + | 0.154731i | −0.861519 | − | 0.507726i | \(-0.830486\pi\) |
0.749100 | + | 0.662457i | \(0.230486\pi\) | |||||||
\(282\) | −20.5810 | + | 20.1421i | −1.22558 | + | 1.19945i | ||||
\(283\) | 11.2107 | + | 8.14505i | 0.666407 | + | 0.484173i | 0.868820 | − | 0.495127i | \(-0.164879\pi\) |
−0.202414 | + | 0.979300i | \(0.564879\pi\) | |||||||
\(284\) | 13.2118 | + | 20.5909i | 0.783976 | + | 1.22184i | ||||
\(285\) | −25.3904 | − | 7.67089i | −1.50400 | − | 0.454384i | ||||
\(286\) | 2.63910 | + | 2.79635i | 0.156053 | + | 0.165352i | ||||
\(287\) | 18.2945 | + | 5.94425i | 1.07989 | + | 0.350878i | ||||
\(288\) | −14.1993 | − | 9.29404i | −0.836703 | − | 0.547657i | ||||
\(289\) | −5.15277 | − | 15.8586i | −0.303104 | − | 0.932859i | ||||
\(290\) | −6.51473 | + | 6.18063i | −0.382558 | + | 0.362939i | ||||
\(291\) | 0.975425 | − | 0.0177041i | 0.0571804 | − | 0.00103784i | ||||
\(292\) | 6.40433 | + | 24.4369i | 0.374785 | + | 1.43006i | ||||
\(293\) | −30.5925 | −1.78723 | −0.893617 | − | 0.448830i | \(-0.851841\pi\) | ||||
−0.893617 | + | 0.448830i | \(0.851841\pi\) | |||||||
\(294\) | 1.31560 | + | 8.92798i | 0.0767274 | + | 0.520690i | ||||
\(295\) | −11.0739 | − | 15.1585i | −0.644749 | − | 0.882562i | ||||
\(296\) | 3.82133 | + | 9.44466i | 0.222111 | + | 0.548960i | ||||
\(297\) | 0.226297 | + | 4.15236i | 0.0131311 | + | 0.240944i | ||||
\(298\) | 7.71908 | + | 8.17904i | 0.447154 | + | 0.473799i | ||||
\(299\) | 6.62610 | 0.383197 | ||||||||
\(300\) | 5.91692 | − | 16.2785i | 0.341613 | − | 0.939841i | ||||
\(301\) | −9.53082 | −0.549347 | ||||||||
\(302\) | −13.5037 | − | 14.3084i | −0.777051 | − | 0.823354i | ||||
\(303\) | −1.75210 | − | 1.22502i | −0.100656 | − | 0.0703757i | ||||
\(304\) | −18.5523 | + | 20.1551i | −1.06405 | + | 1.15598i | ||||
\(305\) | −27.7943 | − | 8.95068i | −1.59149 | − | 0.512515i | ||||
\(306\) | −1.11438 | − | 2.14780i | −0.0637050 | − | 0.122782i | ||||
\(307\) | 3.72232 | 0.212444 | 0.106222 | − | 0.994342i | \(-0.466125\pi\) | ||||
0.106222 | + | 0.994342i | \(0.466125\pi\) | |||||||
\(308\) | −2.81940 | + | 0.738899i | −0.160650 | + | 0.0421027i | ||||
\(309\) | −0.191854 | − | 10.5704i | −0.0109142 | − | 0.601328i | ||||
\(310\) | 11.2618 | + | 6.11657i | 0.639627 | + | 0.347398i | ||||
\(311\) | −7.40049 | − | 22.7764i | −0.419644 | − | 1.29153i | −0.908031 | − | 0.418903i | \(-0.862415\pi\) |
0.488387 | − | 0.872627i | \(-0.337585\pi\) | |||||||
\(312\) | 16.2210 | + | 3.72459i | 0.918335 | + | 0.210863i | ||||
\(313\) | 27.7968 | + | 9.03173i | 1.57117 | + | 0.510503i | 0.959762 | − | 0.280814i | \(-0.0906043\pi\) |
0.611406 | + | 0.791317i | \(0.290604\pi\) | |||||||
\(314\) | −9.17190 | − | 9.71843i | −0.517600 | − | 0.548443i | ||||
\(315\) | −11.7554 | − | 3.31994i | −0.662342 | − | 0.187058i | ||||
\(316\) | 0.638273 | − | 0.409537i | 0.0359057 | − | 0.0230383i | ||||
\(317\) | −1.16402 | − | 0.845712i | −0.0653780 | − | 0.0474999i | 0.554616 | − | 0.832106i | \(-0.312865\pi\) |
−0.619994 | + | 0.784606i | \(0.712865\pi\) | |||||||
\(318\) | 13.0521 | + | 13.3365i | 0.731927 | + | 0.747873i | ||||
\(319\) | 1.33585 | − | 1.83863i | 0.0747930 | − | 0.102944i | ||||
\(320\) | −12.4727 | − | 12.8231i | −0.697246 | − | 0.716832i | ||||
\(321\) | −1.42523 | − | 0.996484i | −0.0795487 | − | 0.0556183i | ||||
\(322\) | −2.40873 | + | 4.40745i | −0.134233 | + | 0.245617i | ||||
\(323\) | −3.71468 | + | 1.20697i | −0.206690 | + | 0.0671577i | ||||
\(324\) | 10.7937 | + | 14.4047i | 0.599650 | + | 0.800262i | ||||
\(325\) | 0.0887613 | + | 16.9861i | 0.00492359 | + | 0.942220i | ||||
\(326\) | 12.3873 | + | 26.1550i | 0.686069 | + | 1.44859i | ||||
\(327\) | 20.3319 | + | 26.9423i | 1.12436 | + | 1.48991i | ||||
\(328\) | −11.2066 | − | 27.6977i | −0.618778 | − | 1.52935i | ||||
\(329\) | 12.5831 | + | 17.3192i | 0.693730 | + | 0.954838i | ||||
\(330\) | −0.721043 | + | 4.32376i | −0.0396921 | + | 0.238015i | ||||
\(331\) | −15.0265 | + | 20.6822i | −0.825929 | + | 1.13679i | 0.162738 | + | 0.986669i | \(0.447968\pi\) |
−0.988667 | + | 0.150125i | \(0.952032\pi\) | |||||||
\(332\) | 8.59709 | + | 7.04025i | 0.471827 | + | 0.386384i | ||||
\(333\) | −0.392150 | − | 10.7994i | −0.0214897 | − | 0.591801i | ||||
\(334\) | −0.0150598 | − | 0.116867i | −0.000824033 | − | 0.00639469i | ||||
\(335\) | 20.4898 | − | 6.71676i | 1.11947 | − | 0.366976i | ||||
\(336\) | −8.37416 | + | 9.43569i | −0.456848 | + | 0.514759i | ||||
\(337\) | 20.3797 | + | 6.62178i | 1.11016 | + | 0.360711i | 0.806003 | − | 0.591912i | \(-0.201627\pi\) |
0.304153 | + | 0.952623i | \(0.401627\pi\) | |||||||
\(338\) | 2.04582 | − | 0.263629i | 0.111278 | − | 0.0143395i | ||||
\(339\) | 10.9699 | + | 14.5366i | 0.595805 | + | 0.789517i | ||||
\(340\) | −0.653053 | − | 2.46556i | −0.0354168 | − | 0.133714i | ||||
\(341\) | −3.08463 | − | 1.00226i | −0.167042 | − | 0.0542753i | ||||
\(342\) | 25.7906 | − | 13.3814i | 1.39460 | − | 0.723583i | ||||
\(343\) | 19.4552 | 1.05048 | ||||||||
\(344\) | 9.52147 | + | 11.3358i | 0.513363 | + | 0.611188i | ||||
\(345\) | 4.56601 | + | 6.01778i | 0.245825 | + | 0.323986i | ||||
\(346\) | −8.32386 | − | 4.54910i | −0.447494 | − | 0.244561i | ||||
\(347\) | −7.86215 | − | 10.8213i | −0.422062 | − | 0.580919i | 0.544046 | − | 0.839055i | \(-0.316892\pi\) |
−0.966109 | + | 0.258136i | \(0.916892\pi\) | |||||||
\(348\) | 0.390426 | − | 9.82944i | 0.0209290 | − | 0.526913i | ||||
\(349\) | −12.3010 | −0.658459 | −0.329229 | − | 0.944250i | \(-0.606789\pi\) | ||||
−0.329229 | + | 0.944250i | \(0.606789\pi\) | |||||||
\(350\) | −11.3308 | − | 6.11578i | −0.605658 | − | 0.326902i | ||||
\(351\) | −14.8248 | − | 9.58348i | −0.791291 | − | 0.511528i | ||||
\(352\) | 3.69548 | + | 2.61519i | 0.196970 | + | 0.139390i | ||||
\(353\) | 15.1176 | − | 10.9836i | 0.804629 | − | 0.584597i | −0.107640 | − | 0.994190i | \(-0.534329\pi\) |
0.912268 | + | 0.409593i | \(0.134329\pi\) | |||||||
\(354\) | 20.2754 | + | 3.43565i | 1.07762 | + | 0.182603i | ||||
\(355\) | −0.0714653 | − | 27.3526i | −0.00379298 | − | 1.45172i | ||||
\(356\) | −6.87023 | − | 26.2146i | −0.364122 | − | 1.38937i | ||||
\(357\) | −1.70038 | + | 0.586809i | −0.0899935 | + | 0.0310572i | ||||
\(358\) | 2.98470 | − | 15.8610i | 0.157746 | − | 0.838279i | ||||
\(359\) | 6.92004 | − | 21.2977i | 0.365225 | − | 1.12405i | −0.584614 | − | 0.811311i | \(-0.698754\pi\) |
0.949840 | − | 0.312737i | \(-0.101246\pi\) | |||||||
\(360\) | 7.79517 | + | 17.2984i | 0.410842 | + | 0.911707i | ||||
\(361\) | −8.62190 | − | 26.5355i | −0.453784 | − | 1.39660i | ||||
\(362\) | −10.2983 | + | 1.32706i | −0.541267 | + | 0.0697488i | ||||
\(363\) | 0.325619 | + | 17.9402i | 0.0170905 | + | 0.941618i | ||||
\(364\) | 4.49719 | − | 11.5261i | 0.235717 | − | 0.604134i | ||||
\(365\) | 8.65765 | − | 26.8843i | 0.453162 | − | 1.40719i | ||||
\(366\) | 28.6554 | − | 14.2138i | 1.49784 | − | 0.742968i | ||||
\(367\) | −20.4151 | − | 14.8325i | −1.06566 | − | 0.774248i | −0.0905333 | − | 0.995893i | \(-0.528857\pi\) |
−0.975127 | + | 0.221646i | \(0.928857\pi\) | |||||||
\(368\) | 7.64854 | − | 1.53821i | 0.398707 | − | 0.0801848i | ||||
\(369\) | 1.15003 | + | 31.6705i | 0.0598681 | + | 1.64870i | ||||
\(370\) | 2.07732 | − | 11.2000i | 0.107994 | − | 0.582260i | ||||
\(371\) | 11.2229 | − | 8.15388i | 0.582662 | − | 0.423329i | ||||
\(372\) | −13.5134 | + | 3.80490i | −0.700636 | + | 0.197275i | ||||
\(373\) | 5.54492 | − | 1.80165i | 0.287105 | − | 0.0932862i | −0.161924 | − | 0.986803i | \(-0.551770\pi\) |
0.449029 | + | 0.893517i | \(0.351770\pi\) | |||||||
\(374\) | 0.276295 | + | 0.583379i | 0.0142869 | + | 0.0301658i | ||||
\(375\) | −15.3655 | + | 11.7856i | −0.793471 | + | 0.608608i | ||||
\(376\) | 8.02845 | − | 32.2684i | 0.414036 | − | 1.66412i | ||||
\(377\) | 2.98121 | + | 9.17522i | 0.153540 | + | 0.472548i | ||||
\(378\) | 11.7637 | − | 6.37715i | 0.605061 | − | 0.328005i | ||||
\(379\) | 6.83449 | + | 9.40687i | 0.351064 | + | 0.483199i | 0.947632 | − | 0.319364i | \(-0.103469\pi\) |
−0.596568 | + | 0.802563i | \(0.703469\pi\) | |||||||
\(380\) | 29.6062 | − | 7.84180i | 1.51877 | − | 0.402276i | ||||
\(381\) | 1.90825 | + | 0.581960i | 0.0977624 | + | 0.0298147i | ||||
\(382\) | 14.7415 | + | 31.1258i | 0.754243 | + | 1.59253i | ||||
\(383\) | −7.25747 | + | 9.98905i | −0.370839 | + | 0.510416i | −0.953129 | − | 0.302565i | \(-0.902157\pi\) |
0.582289 | + | 0.812982i | \(0.302157\pi\) | |||||||
\(384\) | 19.5886 | + | 0.533691i | 0.999629 | + | 0.0272348i | ||||
\(385\) | 3.10178 | + | 0.998876i | 0.158081 | + | 0.0509074i | ||||
\(386\) | −2.16186 | − | 2.29068i | −0.110036 | − | 0.116592i | ||||
\(387\) | −5.39092 | − | 14.7476i | −0.274036 | − | 0.749664i | ||||
\(388\) | −0.948123 | + | 0.608347i | −0.0481336 | + | 0.0308841i | ||||
\(389\) | 11.4198 | − | 3.71053i | 0.579009 | − | 0.188131i | −0.00484763 | − | 0.999988i | \(-0.501543\pi\) |
0.583857 | + | 0.811857i | \(0.301543\pi\) | |||||||
\(390\) | −13.0497 | − | 13.2645i | −0.660798 | − | 0.671675i | ||||
\(391\) | 1.05793 | + | 0.343743i | 0.0535020 | + | 0.0173838i | ||||
\(392\) | −6.70210 | − | 7.97922i | −0.338507 | − | 0.403012i | ||||
\(393\) | −3.43081 | + | 1.18399i | −0.173061 | + | 0.0597244i | ||||
\(394\) | 1.14005 | − | 6.05833i | 0.0574348 | − | 0.305214i | ||||
\(395\) | −0.847872 | + | 0.00221527i | −0.0426610 | + | 0.000111462i | ||||
\(396\) | −2.73809 | − | 3.94470i | −0.137594 | − | 0.198229i | ||||
\(397\) | −8.27856 | − | 11.3945i | −0.415489 | − | 0.571872i | 0.549057 | − | 0.835785i | \(-0.314987\pi\) |
−0.964546 | + | 0.263913i | \(0.914987\pi\) | |||||||
\(398\) | −21.5807 | − | 22.8666i | −1.08174 | − | 1.14620i | ||||
\(399\) | −7.04635 | − | 20.4180i | −0.352759 | − | 1.02218i | ||||
\(400\) | 4.04569 | + | 19.5865i | 0.202284 | + | 0.979327i | ||||
\(401\) | 17.2299i | 0.860422i | 0.902728 | + | 0.430211i | \(0.141561\pi\) | ||||
−0.902728 | + | 0.430211i | \(0.858439\pi\) | |||||||
\(402\) | −10.9497 | + | 20.9294i | −0.546121 | + | 1.04386i | ||||
\(403\) | 11.1385 | − | 8.09261i | 0.554849 | − | 0.403122i | ||||
\(404\) | 2.46449 | + | 0.142723i | 0.122613 | + | 0.00710076i | ||||
\(405\) | −1.51206 | − | 20.0677i | −0.0751346 | − | 0.997173i | ||||
\(406\) | −7.18677 | − | 1.35240i | −0.356673 | − | 0.0671183i | ||||
\(407\) | 2.88284i | 0.142897i | ||||||||
\(408\) | 2.39665 | + | 1.43617i | 0.118652 | + | 0.0711012i | ||||
\(409\) | 1.46342 | − | 4.50396i | 0.0723617 | − | 0.222706i | −0.908334 | − | 0.418245i | \(-0.862645\pi\) |
0.980696 | + | 0.195538i | \(0.0626454\pi\) | |||||||
\(410\) | −6.09200 | + | 32.8454i | −0.300862 | + | 1.62212i | ||||
\(411\) | −2.74698 | − | 3.64010i | −0.135498 | − | 0.179553i | ||||
\(412\) | 6.59247 | + | 10.2745i | 0.324788 | + | 0.506189i | ||||
\(413\) | 4.72408 | − | 14.5392i | 0.232457 | − | 0.715429i | ||||
\(414\) | −8.18237 | − | 1.23419i | −0.402142 | − | 0.0606572i | ||||
\(415\) | −3.86994 | − | 11.8054i | −0.189968 | − | 0.579504i | ||||
\(416\) | −18.2018 | + | 6.16593i | −0.892419 | + | 0.302309i | ||||
\(417\) | 5.82454 | − | 19.0987i | 0.285229 | − | 0.935267i | ||||
\(418\) | −7.00516 | + | 3.31773i | −0.342634 | + | 0.162275i | ||||
\(419\) | 25.6302 | + | 18.6215i | 1.25212 | + | 0.909717i | 0.998343 | − | 0.0575456i | \(-0.0183275\pi\) |
0.253776 | + | 0.967263i | \(0.418327\pi\) | |||||||
\(420\) | 13.5670 | − | 3.85827i | 0.662000 | − | 0.188265i | ||||
\(421\) | −17.3178 | + | 12.5821i | −0.844020 | + | 0.613216i | −0.923491 | − | 0.383621i | \(-0.874677\pi\) |
0.0794709 | + | 0.996837i | \(0.474677\pi\) | |||||||
\(422\) | −6.99426 | + | 12.7980i | −0.340475 | + | 0.622995i | ||||
\(423\) | −19.6817 | + | 29.2669i | −0.956956 | + | 1.42301i | ||||
\(424\) | −20.9100 | − | 5.20245i | −1.01548 | − | 0.252653i | ||||
\(425\) | −0.867019 | + | 2.71663i | −0.0420566 | + | 0.131776i | ||||
\(426\) | 20.9578 | + | 21.4144i | 1.01541 | + | 1.03753i | ||||
\(427\) | −7.34808 | − | 22.6151i | −0.355598 | − | 1.09442i | ||||
\(428\) | 2.00471 | + | 0.116097i | 0.0969015 | + | 0.00561176i | ||||
\(429\) | 3.85943 | + | 2.69841i | 0.186335 | + | 0.130280i | ||||
\(430\) | −2.15824 | − | 16.4101i | −0.104080 | − | 0.791366i | ||||
\(431\) | 0.503603 | + | 0.365889i | 0.0242577 | + | 0.0176243i | 0.599848 | − | 0.800114i | \(-0.295228\pi\) |
−0.575590 | + | 0.817738i | \(0.695228\pi\) | |||||||
\(432\) | −19.3371 | − | 7.62075i | −0.930358 | − | 0.366654i | ||||
\(433\) | 4.45711 | − | 6.13469i | 0.214195 | − | 0.294814i | −0.688377 | − | 0.725353i | \(-0.741676\pi\) |
0.902572 | + | 0.430539i | \(0.141676\pi\) | |||||||
\(434\) | 1.33383 | + | 10.3508i | 0.0640257 | + | 0.496854i | ||||
\(435\) | −6.27854 | + | 9.03011i | −0.301033 | + | 0.432961i | ||||
\(436\) | −36.3089 | − | 14.1668i | −1.73888 | − | 0.678465i | ||||
\(437\) | −4.12764 | + | 12.7036i | −0.197452 | + | 0.607694i | ||||
\(438\) | 13.7485 | + | 27.7172i | 0.656927 | + | 1.32438i | ||||
\(439\) | −8.83207 | + | 2.86971i | −0.421532 | + | 0.136964i | −0.512099 | − | 0.858926i | \(-0.671132\pi\) |
0.0905673 | + | 0.995890i | \(0.471132\pi\) | |||||||
\(440\) | −1.91068 | − | 4.68711i | −0.0910883 | − | 0.223449i | ||||
\(441\) | 3.79463 | + | 10.3808i | 0.180697 | + | 0.494322i | ||||
\(442\) | −2.69285 | − | 0.506736i | −0.128086 | − | 0.0241030i | ||||
\(443\) | − | 35.1121i | − | 1.66823i | −0.551593 | − | 0.834114i | \(-0.685980\pi\) | ||
0.551593 | − | 0.834114i | \(-0.314020\pi\) | |||||||
\(444\) | 6.92808 | + | 10.3782i | 0.328792 | + | 0.492530i | ||||
\(445\) | −9.28748 | + | 28.8401i | −0.440269 | + | 1.36715i | ||||
\(446\) | 7.95432 | + | 4.34714i | 0.376648 | + | 0.205843i | ||||
\(447\) | 11.2884 | + | 7.89256i | 0.533925 | + | 0.373305i | ||||
\(448\) | 2.51540 | − | 14.3487i | 0.118842 | − | 0.677911i | ||||
\(449\) | − | 10.5162i | − | 0.496290i | −0.968723 | − | 0.248145i | \(-0.920179\pi\) | ||
0.968723 | − | 0.248145i | \(-0.0798210\pi\) | |||||||
\(450\) | 3.05426 | − | 20.9922i | 0.143979 | − | 0.989581i | ||||
\(451\) | − | 8.45429i | − | 0.398097i | ||||||
\(452\) | −19.5902 | − | 7.64358i | −0.921446 | − | 0.359524i | ||||
\(453\) | −19.7479 | − | 13.8072i | −0.927838 | − | 0.648719i | ||||
\(454\) | 4.41818 | − | 8.08430i | 0.207356 | − | 0.379415i | ||||
\(455\) | −11.1697 | + | 8.15992i | −0.523642 | + | 0.382543i | ||||
\(456\) | −17.2455 | + | 28.7788i | −0.807593 | + | 1.34769i | ||||
\(457\) | − | 35.6181i | − | 1.66614i | −0.553165 | − | 0.833072i | \(-0.686580\pi\) | ||
0.553165 | − | 0.833072i | \(-0.313420\pi\) | |||||||
\(458\) | 4.11332 | − | 21.8586i | 0.192203 | − | 1.02139i | ||||
\(459\) | −1.86979 | − | 2.29918i | −0.0872744 | − | 0.107317i | ||||
\(460\) | −8.13417 | − | 3.14928i | −0.379258 | − | 0.146836i | ||||
\(461\) | 30.8965 | − | 10.0389i | 1.43899 | − | 0.467557i | 0.517409 | − | 0.855739i | \(-0.326897\pi\) |
0.921583 | + | 0.388182i | \(0.126897\pi\) | |||||||
\(462\) | −3.19787 | + | 1.58623i | −0.148779 | + | 0.0737980i | ||||
\(463\) | −1.66383 | + | 5.12073i | −0.0773245 | + | 0.237980i | −0.982246 | − | 0.187599i | \(-0.939930\pi\) |
0.904921 | + | 0.425579i | \(0.139930\pi\) | |||||||
\(464\) | 5.57120 | + | 9.89893i | 0.258636 | + | 0.459546i | ||||
\(465\) | 15.0251 | + | 4.53936i | 0.696774 | + | 0.210508i | ||||
\(466\) | −31.2370 | + | 4.02527i | −1.44703 | + | 0.186467i | ||||
\(467\) | 6.84008 | − | 9.41456i | 0.316521 | − | 0.435654i | −0.620880 | − | 0.783906i | \(-0.713225\pi\) |
0.937401 | + | 0.348252i | \(0.113225\pi\) | |||||||
\(468\) | 20.3789 | + | 0.439254i | 0.942014 | + | 0.0203045i | ||||
\(469\) | 14.2059 | + | 10.3212i | 0.655967 | + | 0.476588i | ||||
\(470\) | −26.9707 | + | 25.5875i | −1.24406 | + | 1.18026i | ||||
\(471\) | −13.4131 | − | 9.37804i | −0.618041 | − | 0.432117i | ||||
\(472\) | −22.0122 | + | 8.90621i | −1.01320 | + | 0.409941i | ||||
\(473\) | 1.29442 | + | 3.98381i | 0.0595175 | + | 0.183176i | ||||
\(474\) | 0.663799 | − | 0.649646i | 0.0304893 | − | 0.0298392i | ||||
\(475\) | −32.6211 | − | 10.4111i | −1.49676 | − | 0.477694i | ||||
\(476\) | 1.31597 | − | 1.60698i | 0.0603175 | − | 0.0736558i | ||||
\(477\) | 18.9650 | + | 12.7537i | 0.868348 | + | 0.583954i | ||||
\(478\) | −1.54374 | − | 0.843677i | −0.0706092 | − | 0.0385889i | ||||
\(479\) | −12.5883 | + | 9.14595i | −0.575175 | + | 0.417889i | −0.836981 | − | 0.547231i | \(-0.815682\pi\) |
0.261806 | + | 0.965120i | \(0.415682\pi\) | |||||||
\(480\) | −18.1426 | − | 12.2819i | −0.828094 | − | 0.560589i | ||||
\(481\) | −9.90033 | − | 7.19301i | −0.451416 | − | 0.327973i | ||||
\(482\) | −7.08019 | − | 14.9493i | −0.322494 | − | 0.680924i | ||||
\(483\) | −1.79445 | + | 5.88399i | −0.0816501 | + | 0.267731i | ||||
\(484\) | −11.1889 | − | 17.4381i | −0.508585 | − | 0.792640i | ||||
\(485\) | 1.25947 | − | 0.00329068i | 0.0571896 | − | 0.000149422i | ||||
\(486\) | 16.5217 | + | 14.5957i | 0.749440 | + | 0.662073i | ||||
\(487\) | −3.42465 | + | 10.5400i | −0.155186 | + | 0.477613i | −0.998180 | − | 0.0603102i | \(-0.980791\pi\) |
0.842994 | + | 0.537923i | \(0.180791\pi\) | |||||||
\(488\) | −19.5572 | + | 31.3326i | −0.885313 | + | 1.41836i | ||||
\(489\) | 21.3505 | + | 28.2922i | 0.965503 | + | 1.27942i | ||||
\(490\) | 1.51917 | + | 11.5510i | 0.0686293 | + | 0.521819i | ||||
\(491\) | −9.09567 | + | 27.9936i | −0.410482 | + | 1.26333i | 0.505748 | + | 0.862681i | \(0.331216\pi\) |
−0.916230 | + | 0.400652i | \(0.868784\pi\) | |||||||
\(492\) | −20.3175 | − | 30.4355i | −0.915983 | − | 1.37214i | ||||
\(493\) | 1.61959i | 0.0729425i | ||||||||
\(494\) | 6.08485 | − | 32.3355i | 0.273770 | − | 1.45484i | ||||
\(495\) | 0.208836 | + | 5.36457i | 0.00938648 | + | 0.241119i | ||||
\(496\) | 10.9786 | − | 11.9271i | 0.492953 | − | 0.535542i | ||||
\(497\) | 18.0205 | − | 13.0927i | 0.808331 | − | 0.587287i | ||||
\(498\) | 12.0587 | + | 6.30879i | 0.540362 | + | 0.282704i | ||||
\(499\) | 7.05232i | 0.315705i | 0.987463 | + | 0.157853i | \(0.0504571\pi\) | ||||
−0.987463 | + | 0.157853i | \(0.949543\pi\) | |||||||
\(500\) | 7.96426 | − | 20.8943i | 0.356172 | − | 0.934420i | ||||
\(501\) | −0.0470795 | − | 0.136421i | −0.00210336 | − | 0.00609483i | ||||
\(502\) | −24.1248 | + | 22.7681i | −1.07674 | + | 1.01619i | ||||
\(503\) | −3.33390 | − | 4.58871i | −0.148651 | − | 0.204601i | 0.728197 | − | 0.685367i | \(-0.240358\pi\) |
−0.876849 | + | 0.480767i | \(0.840358\pi\) | |||||||
\(504\) | −7.70034 | + | 13.3956i | −0.343000 | + | 0.596689i | ||||
\(505\) | −2.23712 | − | 1.61645i | −0.0995503 | − | 0.0719309i | ||||
\(506\) | 2.16942 | + | 0.408239i | 0.0964425 | + | 0.0181484i | ||||
\(507\) | 2.38812 | − | 0.824151i | 0.106060 | − | 0.0366018i | ||||
\(508\) | −2.22839 | + | 0.584007i | −0.0988687 | + | 0.0259111i | ||||
\(509\) | −20.5138 | − | 6.66534i | −0.909259 | − | 0.295436i | −0.183206 | − | 0.983075i | \(-0.558647\pi\) |
−0.726053 | + | 0.687638i | \(0.758647\pi\) | |||||||
\(510\) | −1.39541 | − | 2.79482i | −0.0617899 | − | 0.123757i | ||||
\(511\) | 21.8747 | − | 7.10751i | 0.967678 | − | 0.314418i | ||||
\(512\) | −19.5791 | + | 11.3428i | −0.865281 | + | 0.501286i | ||||
\(513\) | 27.6084 | − | 22.4523i | 1.21894 | − | 0.991293i | ||||
\(514\) | 26.7407 | − | 25.2369i | 1.17948 | − | 1.11315i | ||||
\(515\) | −0.0356600 | − | 13.6485i | −0.00157137 | − | 0.601425i | ||||
\(516\) | 14.2339 | + | 11.2310i | 0.626612 | + | 0.494418i | ||||
\(517\) | 5.53033 | − | 7.61185i | 0.243224 | − | 0.334769i | ||||
\(518\) | 8.38353 | − | 3.97054i | 0.368351 | − | 0.174455i | ||||
\(519\) | −11.1124 | − | 3.38897i | −0.487782 | − | 0.148759i | ||||
\(520\) | 20.8640 | + | 5.13316i | 0.914948 | + | 0.225104i | ||||
\(521\) | −9.57343 | − | 13.1767i | −0.419420 | − | 0.577282i | 0.546065 | − | 0.837743i | \(-0.316125\pi\) |
−0.965484 | + | 0.260461i | \(0.916125\pi\) | |||||||
\(522\) | −1.97241 | − | 11.8855i | −0.0863301 | − | 0.520214i | ||||
\(523\) | 7.50639 | + | 23.1023i | 0.328231 | + | 1.01019i | 0.969961 | + | 0.243261i | \(0.0782173\pi\) |
−0.641729 | + | 0.766931i | \(0.721783\pi\) | |||||||
\(524\) | 2.65521 | − | 3.24237i | 0.115993 | − | 0.141643i | ||||
\(525\) | −15.1077 | − | 4.52127i | −0.659356 | − | 0.197324i | ||||
\(526\) | 9.38002 | − | 4.44249i | 0.408988 | − | 0.193702i | ||||
\(527\) | 2.19821 | − | 0.714243i | 0.0957557 | − | 0.0311129i | ||||
\(528\) | 5.08138 | + | 2.21884i | 0.221139 | + | 0.0965626i | ||||
\(529\) | −15.5298 | + | 11.2830i | −0.675208 | + | 0.490567i | ||||
\(530\) | 16.5807 | + | 17.4770i | 0.720220 | + | 0.759153i | ||||
\(531\) | 25.1695 | − | 0.913965i | 1.09227 | − | 0.0396627i | ||||
\(532\) | 19.2965 | + | 15.8021i | 0.836608 | + | 0.685107i | ||||
\(533\) | 29.0340 | + | 21.0944i | 1.25760 | + | 0.913702i | ||||
\(534\) | −14.7486 | − | 29.7336i | −0.638236 | − | 1.28670i | ||||
\(535\) | −1.81976 | − | 1.31488i | −0.0786751 | − | 0.0568474i | ||||
\(536\) | −1.91607 | − | 27.2074i | −0.0827615 | − | 1.17518i | ||||
\(537\) | −0.358709 | − | 19.7634i | −0.0154794 | − | 0.852852i | ||||
\(538\) | −3.74424 | − | 29.0561i | −0.161425 | − | 1.25270i | ||||
\(539\) | −0.911133 | − | 2.80418i | −0.0392453 | − | 0.120785i | ||||
\(540\) | 13.6440 | + | 18.8106i | 0.587146 | + | 0.809481i | ||||
\(541\) | −3.44912 | + | 10.6153i | −0.148289 | + | 0.456387i | −0.997419 | − | 0.0717967i | \(-0.977127\pi\) |
0.849130 | + | 0.528184i | \(0.177127\pi\) | |||||||
\(542\) | −4.02135 | − | 0.756731i | −0.172732 | − | 0.0325044i | ||||
\(543\) | −12.0214 | + | 4.14863i | −0.515886 | + | 0.178035i | ||||
\(544\) | −3.22600 | + | 0.0402015i | −0.138314 | + | 0.00172363i | ||||
\(545\) | 25.7048 | + | 35.1860i | 1.10107 | + | 1.50720i | ||||
\(546\) | 2.53159 | − | 14.9401i | 0.108342 | − | 0.639376i | ||||
\(547\) | 1.81953 | − | 1.32197i | 0.0777977 | − | 0.0565233i | −0.548207 | − | 0.836343i | \(-0.684689\pi\) |
0.626004 | + | 0.779820i | \(0.284689\pi\) | |||||||
\(548\) | 4.90558 | + | 1.91403i | 0.209556 | + | 0.0817632i | ||||
\(549\) | 30.8374 | − | 24.1619i | 1.31611 | − | 1.03121i | ||||
\(550\) | −1.01746 | + | 5.56681i | −0.0433849 | + | 0.237370i | ||||
\(551\) | −19.4479 | −0.828506 | ||||||||
\(552\) | 8.79103 | − | 3.74393i | 0.374171 | − | 0.159352i | ||||
\(553\) | −0.405845 | − | 0.558597i | −0.0172583 | − | 0.0237540i | ||||
\(554\) | 13.5199 | − | 24.7385i | 0.574406 | − | 1.05104i | ||||
\(555\) | −0.289617 | − | 13.9481i | −0.0122935 | − | 0.592063i | ||||
\(556\) | 5.84504 | + | 22.3028i | 0.247885 | + | 0.945850i | ||||
\(557\) | 16.9838 | 0.719626 | 0.359813 | − | 0.933024i | \(-0.382840\pi\) | ||||
0.359813 | + | 0.933024i | \(0.382840\pi\) | |||||||
\(558\) | −15.2620 | + | 7.91864i | −0.646091 | + | 0.335223i | ||||
\(559\) | −16.9111 | − | 5.49474i | −0.715263 | − | 0.232403i | ||||
\(560\) | −10.9989 | + | 12.0120i | −0.464790 | + | 0.507600i | ||||
\(561\) | 0.476217 | + | 0.631048i | 0.0201059 | + | 0.0266429i | ||||
\(562\) | −0.579479 | − | 4.49689i | −0.0244439 | − | 0.189690i | ||||
\(563\) | 32.4238 | + | 10.5351i | 1.36650 | + | 0.444003i | 0.898208 | − | 0.439570i | \(-0.144869\pi\) |
0.468293 | + | 0.883573i | \(0.344869\pi\) | |||||||
\(564\) | 1.61634 | − | 40.6934i | 0.0680604 | − | 1.71350i | ||||
\(565\) | 13.8689 | + | 18.9844i | 0.583468 | + | 0.798678i | ||||
\(566\) | −19.4363 | + | 2.50460i | −0.816969 | + | 0.105276i | ||||
\(567\) | 12.5249 | − | 10.5691i | 0.525998 | − | 0.443862i | ||||
\(568\) | −33.5751 | − | 8.35356i | −1.40878 | − | 0.350507i | ||||
\(569\) | −17.1184 | + | 23.5614i | −0.717640 | + | 0.987747i | 0.281959 | + | 0.959426i | \(0.409016\pi\) |
−0.999599 | + | 0.0283201i | \(0.990984\pi\) | |||||||
\(570\) | 33.5599 | − | 16.7560i | 1.40567 | − | 0.701831i | ||||
\(571\) | 16.1661 | + | 22.2507i | 0.676529 | + | 0.931162i | 0.999886 | − | 0.0151153i | \(-0.00481154\pi\) |
−0.323357 | + | 0.946277i | \(0.604812\pi\) | |||||||
\(572\) | −5.42863 | − | 0.314383i | −0.226982 | − | 0.0131450i | ||||
\(573\) | 25.4082 | + | 33.6692i | 1.06144 | + | 1.40655i | ||||
\(574\) | −24.5858 | + | 11.6441i | −1.02619 | + | 0.486016i | ||||
\(575\) | 5.77329 | + | 7.85955i | 0.240763 | + | 0.327766i | ||||
\(576\) | 23.6254 | − | 4.22381i | 0.984392 | − | 0.175992i | ||||
\(577\) | −12.8350 | + | 4.17033i | −0.534326 | + | 0.173613i | −0.563737 | − | 0.825954i | \(-0.690637\pi\) |
0.0294110 | + | 0.999567i | \(0.490637\pi\) | |||||||
\(578\) | 20.6930 | + | 11.3090i | 0.860715 | + | 0.470392i | ||||
\(579\) | −3.16151 | − | 2.21044i | −0.131388 | − | 0.0918629i | ||||
\(580\) | 0.701111 | − | 12.6804i | 0.0291120 | − | 0.526525i | ||||
\(581\) | 5.94666 | − | 8.18487i | 0.246709 | − | 0.339566i | ||||
\(582\) | −0.986041 | + | 0.965017i | −0.0408727 | + | 0.0400012i | ||||
\(583\) | −4.93249 | − | 3.58366i | −0.204283 | − | 0.148420i | ||||
\(584\) | −30.3068 | − | 18.9169i | −1.25410 | − | 0.782788i | ||||
\(585\) | −18.9443 | − | 12.6680i | −0.783249 | − | 0.523759i | ||||
\(586\) | 31.4645 | − | 29.6950i | 1.29978 | − | 1.22669i | ||||
\(587\) | −19.9702 | − | 6.48872i | −0.824259 | − | 0.267818i | −0.133634 | − | 0.991031i | \(-0.542665\pi\) |
−0.690625 | + | 0.723213i | \(0.742665\pi\) | |||||||
\(588\) | −10.0191 | − | 7.90543i | −0.413183 | − | 0.326015i | ||||
\(589\) | 8.57657 | + | 26.3960i | 0.353392 | + | 1.08763i | ||||
\(590\) | 26.1033 | + | 4.84150i | 1.07466 | + | 0.199322i | ||||
\(591\) | −0.137014 | − | 7.54889i | −0.00563600 | − | 0.310520i | ||||
\(592\) | −13.0978 | − | 6.00462i | −0.538317 | − | 0.246789i | ||||
\(593\) | −25.7697 | −1.05824 | −0.529118 | − | 0.848548i | \(-0.677477\pi\) | ||||
−0.529118 | + | 0.848548i | \(0.677477\pi\) | |||||||
\(594\) | −4.26329 | − | 4.05105i | −0.174925 | − | 0.166217i | ||||
\(595\) | −2.20668 | + | 0.723373i | −0.0904651 | + | 0.0296554i | ||||
\(596\) | −15.8782 | − | 0.919537i | −0.650395 | − | 0.0376657i | ||||
\(597\) | −31.5597 | − | 22.0657i | −1.29165 | − | 0.903089i | ||||
\(598\) | −6.81495 | + | 6.43170i | −0.278684 | + | 0.263012i | ||||
\(599\) | 33.3719 | 1.36354 | 0.681770 | − | 0.731566i | \(-0.261210\pi\) | ||||
0.681770 | + | 0.731566i | \(0.261210\pi\) | |||||||
\(600\) | 9.71538 | + | 22.4858i | 0.396629 | + | 0.917979i | ||||
\(601\) | −23.8413 | −0.972507 | −0.486254 | − | 0.873818i | \(-0.661637\pi\) | ||||
−0.486254 | + | 0.873818i | \(0.661637\pi\) | |||||||
\(602\) | 9.80246 | − | 9.25120i | 0.399518 | − | 0.377051i | ||||
\(603\) | −7.93532 | + | 27.8196i | −0.323151 | + | 1.13290i | ||||
\(604\) | 27.7772 | + | 1.60863i | 1.13024 | + | 0.0654543i | ||||
\(605\) | 0.0605228 | + | 23.1645i | 0.00246060 | + | 0.941770i | ||||
\(606\) | 2.99113 | − | 0.440763i | 0.121506 | − | 0.0179048i | ||||
\(607\) | 35.6213 | 1.44583 | 0.722913 | − | 0.690940i | \(-0.242803\pi\) | ||||
0.722913 | + | 0.690940i | \(0.242803\pi\) | |||||||
\(608\) | −0.482737 | − | 38.7376i | −0.0195776 | − | 1.57102i | ||||
\(609\) | −8.95497 | + | 0.162534i | −0.362874 | + | 0.00658623i | ||||
\(610\) | 37.2745 | − | 17.7730i | 1.50920 | − | 0.719609i | ||||
\(611\) | 12.3420 | + | 37.9849i | 0.499306 | + | 1.53671i | ||||
\(612\) | 3.23093 | + | 1.12733i | 0.130603 | + | 0.0455696i | ||||
\(613\) | 13.0452 | + | 4.23863i | 0.526889 | + | 0.171197i | 0.560370 | − | 0.828243i | \(-0.310659\pi\) |
−0.0334802 | + | 0.999439i | \(0.510659\pi\) | |||||||
\(614\) | −3.82841 | + | 3.61312i | −0.154502 | + | 0.145814i | ||||
\(615\) | 0.849339 | + | 40.9046i | 0.0342486 | + | 1.64943i | ||||
\(616\) | 2.18254 | − | 3.49665i | 0.0879371 | − | 0.140884i | ||||
\(617\) | 15.5169 | + | 11.2737i | 0.624686 | + | 0.453861i | 0.854555 | − | 0.519361i | \(-0.173830\pi\) |
−0.229869 | + | 0.973222i | \(0.573830\pi\) | |||||||
\(618\) | 10.4576 | + | 10.6854i | 0.420666 | + | 0.429831i | ||||
\(619\) | −4.26674 | + | 5.87266i | −0.171495 | + | 0.236042i | −0.886109 | − | 0.463476i | \(-0.846602\pi\) |
0.714615 | + | 0.699518i | \(0.246602\pi\) | |||||||
\(620\) | −17.5199 | + | 4.64050i | −0.703616 | + | 0.186367i | ||||
\(621\) | −10.1197 | + | 0.551506i | −0.406088 | + | 0.0221312i | ||||
\(622\) | 29.7196 | + | 16.2422i | 1.19165 | + | 0.651251i | ||||
\(623\) | −23.4660 | + | 7.62457i | −0.940146 | + | 0.305472i | ||||
\(624\) | −20.2987 | + | 11.9144i | −0.812597 | + | 0.476957i | ||||
\(625\) | −20.0708 | + | 14.9052i | −0.802830 | + | 0.596208i | ||||
\(626\) | −37.3558 | + | 17.6922i | −1.49304 | + | 0.707121i | ||||
\(627\) | −7.57757 | + | 5.71837i | −0.302619 | + | 0.228370i | ||||
\(628\) | 18.8666 | + | 1.09260i | 0.752860 | + | 0.0435997i | ||||
\(629\) | −1.20755 | − | 1.66205i | −0.0481481 | − | 0.0662702i | ||||
\(630\) | 15.3130 | − | 7.99595i | 0.610084 | − | 0.318566i | ||||
\(631\) | 11.1723 | − | 15.3773i | 0.444761 | − | 0.612162i | −0.526501 | − | 0.850175i | \(-0.676496\pi\) |
0.971262 | + | 0.238013i | \(0.0764962\pi\) | |||||||
\(632\) | −0.258942 | + | 1.04076i | −0.0103002 | + | 0.0413991i | ||||
\(633\) | −5.21056 | + | 17.0854i | −0.207101 | + | 0.679084i | ||||
\(634\) | 2.01810 | − | 0.260057i | 0.0801490 | − | 0.0103282i | ||||
\(635\) | 2.45157 | + | 0.789487i | 0.0972875 | + | 0.0313298i | ||||
\(636\) | −26.3693 | − | 1.04739i | −1.04561 | − | 0.0415318i | ||||
\(637\) | 11.9036 | + | 3.86771i | 0.471638 | + | 0.153244i | ||||
\(638\) | 0.410773 | + | 3.18769i | 0.0162627 | + | 0.126202i | ||||
\(639\) | 30.4521 | + | 20.4787i | 1.20467 | + | 0.810124i | ||||
\(640\) | 25.2751 | + | 1.08177i | 0.999085 | + | 0.0427606i | ||||
\(641\) | −14.5392 | − | 4.72407i | −0.574263 | − | 0.186589i | 0.00746563 | − | 0.999972i | \(-0.497624\pi\) |
−0.581729 | + | 0.813383i | \(0.697624\pi\) | |||||||
\(642\) | 2.43310 | − | 0.358535i | 0.0960269 | − | 0.0141502i | ||||
\(643\) | −14.5941 | −0.575536 | −0.287768 | − | 0.957700i | \(-0.592913\pi\) | ||||
−0.287768 | + | 0.957700i | \(0.592913\pi\) | |||||||
\(644\) | −1.80076 | − | 6.87113i | −0.0709599 | − | 0.270760i | ||||
\(645\) | −6.66304 | − | 19.1449i | −0.262357 | − | 0.753831i | ||||
\(646\) | 2.64899 | − | 4.84707i | 0.104223 | − | 0.190705i | ||||
\(647\) | 25.2315 | + | 34.7282i | 0.991952 | + | 1.36531i | 0.930135 | + | 0.367218i | \(0.119690\pi\) |
0.0618172 | + | 0.998087i | \(0.480310\pi\) | |||||||
\(648\) | −25.0835 | − | 4.33824i | −0.985371 | − | 0.170422i | ||||
\(649\) | −6.71889 | −0.263740 | ||||||||
\(650\) | −16.5791 | − | 17.3841i | −0.650284 | − | 0.681860i | ||||
\(651\) | 4.16978 | + | 12.0826i | 0.163426 | + | 0.473556i | ||||
\(652\) | −38.1280 | − | 14.8765i | −1.49321 | − | 0.582610i | ||||
\(653\) | −0.112789 | + | 0.0819458i | −0.00441377 | + | 0.00320679i | −0.589990 | − | 0.807411i | \(-0.700868\pi\) |
0.585576 | + | 0.810617i | \(0.300868\pi\) | |||||||
\(654\) | −47.0633 | − | 7.97485i | −1.84032 | − | 0.311841i | ||||
\(655\) | −4.45237 | + | 1.45953i | −0.173968 | + | 0.0570287i | ||||
\(656\) | 38.4110 | + | 17.6093i | 1.49970 | + | 0.687529i | ||||
\(657\) | 23.3709 | + | 29.8278i | 0.911785 | + | 1.16369i | ||||
\(658\) | −29.7528 | − | 5.59885i | −1.15989 | − | 0.218266i | ||||
\(659\) | 6.59221 | − | 20.2887i | 0.256796 | − | 0.790337i | −0.736674 | − | 0.676248i | \(-0.763605\pi\) |
0.993470 | − | 0.114089i | \(-0.0363950\pi\) | |||||||
\(660\) | −3.45532 | − | 5.14688i | −0.134498 | − | 0.200342i | ||||
\(661\) | −5.23008 | − | 16.0965i | −0.203427 | − | 0.626083i | −0.999774 | − | 0.0212437i | \(-0.993237\pi\) |
0.796348 | − | 0.604839i | \(-0.206763\pi\) | |||||||
\(662\) | −4.62064 | − | 35.8573i | −0.179586 | − | 1.39363i | ||||
\(663\) | −3.35539 | + | 0.0609009i | −0.130312 | + | 0.00236519i | ||||
\(664\) | −15.6758 | + | 1.10396i | −0.608340 | + | 0.0428421i | ||||
\(665\) | −8.68621 | − | 26.4976i | −0.336837 | − | 1.02753i | ||||
\(666\) | 10.8858 | + | 10.7265i | 0.421818 | + | 0.415644i | ||||
\(667\) | 4.48091 | + | 3.25557i | 0.173502 | + | 0.126056i | ||||
\(668\) | 0.128928 | + | 0.105580i | 0.00498835 | + | 0.00408502i | ||||
\(669\) | 10.6191 | + | 3.23852i | 0.410558 | + | 0.125208i | ||||
\(670\) | −14.5540 | + | 26.7968i | −0.562271 | + | 1.03525i | ||||
\(671\) | −8.45496 | + | 6.14289i | −0.326400 | + | 0.237144i | ||||
\(672\) | −0.546029 | − | 17.8331i | −0.0210635 | − | 0.687927i | ||||
\(673\) | 17.7151 | − | 5.75598i | 0.682866 | − | 0.221877i | 0.0530162 | − | 0.998594i | \(-0.483117\pi\) |
0.629850 | + | 0.776717i | \(0.283117\pi\) | |||||||
\(674\) | −27.3881 | + | 12.9713i | −1.05495 | + | 0.499637i | ||||
\(675\) | −1.54935 | − | 25.9345i | −0.0596346 | − | 0.998220i | ||||
\(676\) | −1.84823 | + | 2.25694i | −0.0710859 | + | 0.0868055i | ||||
\(677\) | −2.93522 | − | 9.03368i | −0.112810 | − | 0.347193i | 0.878674 | − | 0.477422i | \(-0.158429\pi\) |
−0.991484 | + | 0.130229i | \(0.958429\pi\) | |||||||
\(678\) | −25.3927 | − | 4.30278i | −0.975199 | − | 0.165247i | ||||
\(679\) | 0.602862 | + | 0.829769i | 0.0231357 | + | 0.0318436i | ||||
\(680\) | 3.06489 | + | 1.90194i | 0.117533 | + | 0.0729359i | ||||
\(681\) | 3.29144 | − | 10.7926i | 0.126128 | − | 0.413575i | ||||
\(682\) | 4.14541 | − | 1.96331i | 0.158736 | − | 0.0751792i | ||||
\(683\) | 1.42535 | − | 1.96183i | 0.0545395 | − | 0.0750672i | −0.780876 | − | 0.624686i | \(-0.785227\pi\) |
0.835416 | + | 0.549619i | \(0.185227\pi\) | |||||||
\(684\) | −13.5369 | + | 38.7968i | −0.517596 | + | 1.48343i | ||||
\(685\) | −3.47290 | − | 4.75387i | −0.132693 | − | 0.181636i | ||||
\(686\) | −20.0097 | + | 18.8845i | −0.763975 | + | 0.721012i | ||||
\(687\) | −0.494349 | − | 27.2366i | −0.0188606 | − | 1.03914i | ||||
\(688\) | −20.7961 | − | 2.41680i | −0.792845 | − | 0.0921395i | ||||
\(689\) | 24.6143 | − | 7.99766i | 0.937729 | − | 0.304687i | ||||
\(690\) | −10.5374 | − | 1.75724i | −0.401151 | − | 0.0668971i | ||||
\(691\) | 4.66222 | + | 1.51485i | 0.177359 | + | 0.0576275i | 0.396350 | − | 0.918099i | \(-0.370277\pi\) |
−0.218991 | + | 0.975727i | \(0.570277\pi\) | |||||||
\(692\) | 12.9767 | − | 3.40090i | 0.493302 | − | 0.129283i | ||||
\(693\) | −3.44138 | + | 2.69641i | −0.130727 | + | 0.102428i | ||||
\(694\) | 18.5901 | + | 3.49825i | 0.705670 | + | 0.132792i | ||||
\(695\) | 7.90158 | − | 24.5365i | 0.299724 | − | 0.930723i | ||||
\(696\) | 9.13951 | + | 10.4886i | 0.346432 | + | 0.397568i | ||||
\(697\) | 3.54129 | + | 4.87417i | 0.134136 | + | 0.184622i | ||||
\(698\) | 12.6516 | − | 11.9401i | 0.478871 | − | 0.451941i | ||||
\(699\) | −36.4634 | + | 12.5837i | −1.37917 | + | 0.475959i | ||||
\(700\) | 17.5901 | − | 4.70832i | 0.664844 | − | 0.177958i | ||||
\(701\) | − | 2.98414i | − | 0.112710i | −0.998411 | − | 0.0563548i | \(-0.982052\pi\) | ||
0.998411 | − | 0.0563548i | \(-0.0179478\pi\) | |||||||
\(702\) | 24.5497 | − | 4.53328i | 0.926568 | − | 0.171098i | ||||
\(703\) | 19.9577 | − | 14.5001i | 0.752721 | − | 0.546883i | ||||
\(704\) | −6.33927 | + | 0.897331i | −0.238920 | + | 0.0338195i | ||||
\(705\) | −25.9928 | + | 37.3842i | −0.978946 | + | 1.40797i | ||||
\(706\) | −4.88713 | + | 25.9707i | −0.183930 | + | 0.977421i | ||||
\(707\) | − | 2.24760i | − | 0.0845296i | ||||||
\(708\) | −24.1881 | + | 16.1470i | −0.909045 | + | 0.606840i | ||||
\(709\) | −1.13807 | + | 3.50262i | −0.0427411 | + | 0.131544i | −0.970150 | − | 0.242505i | \(-0.922031\pi\) |
0.927409 | + | 0.374049i | \(0.122031\pi\) | |||||||
\(710\) | 26.6236 | + | 28.0628i | 0.999167 | + | 1.05318i | ||||
\(711\) | 0.634795 | − | 0.943949i | 0.0238067 | − | 0.0354009i | ||||
\(712\) | 32.5116 | + | 20.2931i | 1.21842 | + | 0.760517i | ||||
\(713\) | 2.44259 | − | 7.51752i | 0.0914757 | − | 0.281533i | ||||
\(714\) | 1.17925 | − | 2.25402i | 0.0441322 | − | 0.0843547i | ||||
\(715\) | 4.92779 | + | 3.56061i | 0.184289 | + | 0.133159i | ||||
\(716\) | 12.3259 | + | 19.2102i | 0.460640 | + | 0.717918i | ||||
\(717\) | −2.06091 | − | 0.628519i | −0.0769663 | − | 0.0234725i | ||||
\(718\) | 13.5556 | + | 28.6217i | 0.505890 | + | 1.06815i | ||||
\(719\) | −37.7629 | − | 27.4363i | −1.40832 | − | 1.02320i | −0.993564 | − | 0.113268i | \(-0.963868\pi\) |
−0.414753 | − | 0.909934i | \(-0.636132\pi\) | |||||||
\(720\) | −24.8083 | − | 10.2250i | −0.924549 | − | 0.381062i | ||||
\(721\) | 8.99194 | − | 6.53303i | 0.334878 | − | 0.243303i | ||||
\(722\) | 34.6246 | + | 18.9228i | 1.28859 | + | 0.704234i | ||||
\(723\) | −12.2033 | − | 16.1709i | −0.453845 | − | 0.601402i | ||||
\(724\) | 9.30369 | − | 11.3611i | 0.345769 | − | 0.422230i | ||||
\(725\) | −8.28568 | + | 11.5305i | −0.307723 | + | 0.428232i | ||||
\(726\) | −17.7488 | − | 18.1355i | −0.658720 | − | 0.673071i | ||||
\(727\) | −1.82280 | − | 5.61001i | −0.0676040 | − | 0.208064i | 0.911548 | − | 0.411195i | \(-0.134888\pi\) |
−0.979152 | + | 0.203131i | \(0.934888\pi\) | |||||||
\(728\) | 6.56261 | + | 16.2199i | 0.243227 | + | 0.601150i | ||||
\(729\) | 23.4388 | + | 13.4024i | 0.868103 | + | 0.496385i | ||||
\(730\) | 17.1912 | + | 36.0542i | 0.636274 | + | 1.33443i | ||||
\(731\) | −2.41500 | − | 1.75460i | −0.0893219 | − | 0.0648962i | ||||
\(732\) | −15.6753 | + | 42.4336i | −0.579375 | + | 1.56839i | ||||
\(733\) | 0.998702 | − | 1.37460i | 0.0368879 | − | 0.0507718i | −0.790175 | − | 0.612882i | \(-0.790010\pi\) |
0.827063 | + | 0.562110i | \(0.190010\pi\) | |||||||
\(734\) | 35.3943 | − | 4.56098i | 1.30643 | − | 0.168349i | ||||
\(735\) | 4.69007 | + | 13.4760i | 0.172996 | + | 0.497069i | ||||
\(736\) | −6.37345 | + | 9.00620i | −0.234928 | + | 0.331973i | ||||
\(737\) | 2.38482 | − | 7.33972i | 0.0878459 | − | 0.270362i | ||||
\(738\) | −31.9241 | − | 31.4568i | −1.17514 | − | 1.15794i | ||||
\(739\) | −27.5191 | + | 8.94150i | −1.01231 | + | 0.328918i | −0.767773 | − | 0.640722i | \(-0.778635\pi\) |
−0.244534 | + | 0.969641i | \(0.578635\pi\) | |||||||
\(740\) | 8.73489 | + | 13.5356i | 0.321101 | + | 0.497578i | ||||
\(741\) | −0.731293 | − | 40.2912i | −0.0268647 | − | 1.48013i | ||||
\(742\) | −3.62806 | + | 19.2799i | −0.133190 | + | 0.707787i | ||||
\(743\) | 14.8662i | 0.545390i | 0.962101 | + | 0.272695i | \(0.0879149\pi\) | ||||
−0.962101 | + | 0.272695i | \(0.912085\pi\) | |||||||
\(744\) | 10.2053 | − | 17.0303i | 0.374143 | − | 0.624360i | ||||
\(745\) | 14.4133 | + | 10.4144i | 0.528061 | + | 0.381555i | ||||
\(746\) | −3.95416 | + | 7.23525i | −0.144772 | + | 0.264901i | ||||
\(747\) | 16.0286 | + | 4.57202i | 0.586455 | + | 0.167282i | ||||
\(748\) | −0.850433 | − | 0.331817i | −0.0310949 | − | 0.0121324i | ||||
\(749\) | − | 1.82829i | − | 0.0668041i | ||||||
\(750\) | 4.36357 | − | 27.0363i | 0.159335 | − | 0.987225i | ||||
\(751\) | − | 25.3737i | − | 0.925901i | −0.886384 | − | 0.462950i | \(-0.846791\pi\) | ||
0.886384 | − | 0.462950i | \(-0.153209\pi\) | |||||||
\(752\) | 23.0645 | + | 40.9810i | 0.841075 | + | 1.49442i | ||||
\(753\) | −23.2798 | + | 33.2962i | −0.848363 | + | 1.21338i | ||||
\(754\) | −11.9722 | − | 6.54298i | −0.436002 | − | 0.238281i | ||||
\(755\) | −25.2145 | − | 18.2189i | −0.917649 | − | 0.663054i | ||||
\(756\) | −5.90896 | + | 17.9775i | −0.214907 | + | 0.653836i | ||||
\(757\) | − | 3.24743i | − | 0.118030i | −0.998257 | − | 0.0590150i | \(-0.981204\pi\) | ||
0.998257 | − | 0.0590150i | \(-0.0187960\pi\) | |||||||
\(758\) | −16.1602 | − | 3.04100i | −0.586964 | − | 0.110454i | ||||
\(759\) | 2.70318 | − | 0.0490632i | 0.0981191 | − | 0.00178088i | ||||
\(760\) | −22.8383 | + | 36.8029i | −0.828431 | + | 1.33498i | ||||
\(761\) | −27.5057 | + | 8.93716i | −0.997082 | + | 0.323972i | −0.761699 | − | 0.647931i | \(-0.775635\pi\) |
−0.235383 | + | 0.971903i | \(0.575635\pi\) | |||||||
\(762\) | −2.52752 | + | 1.25372i | −0.0915624 | + | 0.0454173i | ||||
\(763\) | −10.9656 | + | 33.7485i | −0.396980 | + | 1.22178i | ||||
\(764\) | −45.3743 | − | 17.7039i | −1.64159 | − | 0.640503i | ||||
\(765\) | −2.36749 | − | 3.00537i | −0.0855967 | − | 0.108659i | ||||
\(766\) | −2.23167 | − | 17.3183i | −0.0806336 | − | 0.625736i | ||||
\(767\) | 16.7644 | − | 23.0743i | 0.605328 | − | 0.833163i | ||||
\(768\) | −20.6650 | + | 18.4651i | −0.745683 | + | 0.666300i | ||||
\(769\) | 13.1748 | + | 9.57208i | 0.475097 | + | 0.345178i | 0.799424 | − | 0.600767i | \(-0.205138\pi\) |
−0.324328 | + | 0.945945i | \(0.605138\pi\) | |||||||
\(770\) | −4.15975 | + | 1.98343i | −0.149907 | + | 0.0714779i | ||||
\(771\) | 25.8041 | − | 36.9066i | 0.929312 | − | 1.32916i | ||||
\(772\) | 4.44695 | + | 0.257532i | 0.160049 | + | 0.00926877i | ||||
\(773\) | 8.38178 | + | 25.7965i | 0.301472 | + | 0.927835i | 0.980970 | + | 0.194158i | \(0.0621974\pi\) |
−0.679498 | + | 0.733677i | \(0.737803\pi\) | |||||||
\(774\) | 19.8595 | + | 9.93520i | 0.713836 | + | 0.357113i | ||||
\(775\) | 19.3040 | + | 6.16092i | 0.693420 | + | 0.221307i | ||||
\(776\) | 0.384646 | − | 1.54599i | 0.0138080 | − | 0.0554979i | ||||
\(777\) | 9.06857 | − | 6.84354i | 0.325333 | − | 0.245511i | ||||
\(778\) | −8.14365 | + | 14.9011i | −0.291964 | + | 0.534230i | ||||
\(779\) | −58.5287 | + | 42.5236i | −2.09701 | + | 1.52356i | ||||
\(780\) | 26.2970 | + | 0.975712i | 0.941585 | + | 0.0349361i | ||||
\(781\) | −7.92009 | − | 5.75428i | −0.283403 | − | 0.205904i | ||||
\(782\) | −1.42174 | + | 0.673355i | −0.0508415 | + | 0.0240791i | ||||
\(783\) | −5.31671 | − | 13.7647i | −0.190004 | − | 0.491909i | ||||
\(784\) | 14.6382 | + | 1.70117i | 0.522795 | + | 0.0607560i | ||||
\(785\) | −17.1260 | − | 12.3745i | −0.611253 | − | 0.441666i | ||||
\(786\) | 2.37934 | − | 4.54789i | 0.0848682 | − | 0.162218i | ||||
\(787\) | 2.84743 | − | 8.76347i | 0.101500 | − | 0.312384i | −0.887393 | − | 0.461013i | \(-0.847486\pi\) |
0.988893 | + | 0.148629i | \(0.0474861\pi\) | |||||||
\(788\) | 4.70805 | + | 7.33760i | 0.167717 | + | 0.261391i | ||||
\(789\) | 10.1465 | − | 7.65699i | 0.361225 | − | 0.272596i | ||||
\(790\) | 0.869887 | − | 0.825275i | 0.0309492 | − | 0.0293620i | ||||
\(791\) | −5.91639 | + | 18.2088i | −0.210363 | + | 0.647430i | ||||
\(792\) | 6.64509 | + | 1.39937i | 0.236123 | + | 0.0497245i | ||||
\(793\) | − | 44.3636i | − | 1.57540i | ||||||
\(794\) | 19.5747 | + | 3.68353i | 0.694679 | + | 0.130724i | ||||
\(795\) | 24.2250 | + | 16.8434i | 0.859172 | + | 0.597373i | ||||
\(796\) | 44.3915 | + | 2.57080i | 1.57342 | + | 0.0911197i | ||||
\(797\) | 26.7271 | − | 19.4184i | 0.946721 | − | 0.687833i | −0.00330770 | − | 0.999995i | \(-0.501053\pi\) |
0.950029 | + | 0.312161i | \(0.101053\pi\) | |||||||
\(798\) | 27.0661 | + | 14.1603i | 0.958131 | + | 0.501269i | ||||
\(799\) | 6.70500i | 0.237206i | ||||||||
\(800\) | −23.1729 | − | 16.2178i | −0.819286 | − | 0.573385i | ||||
\(801\) | −25.0711 | − | 31.9978i | −0.885843 | − | 1.13059i | ||||
\(802\) | −16.7244 | − | 17.7210i | −0.590561 | − | 0.625751i | ||||
\(803\) | −5.94178 | − | 8.17815i | −0.209681 | − | 0.288601i | ||||
\(804\) | −9.05356 | − | 32.1543i | −0.319294 | − | 1.13400i | ||||
\(805\) | −2.43435 | + | 7.55929i | −0.0857994 | + | 0.266430i | ||||
\(806\) | −3.60080 | + | 19.1350i | −0.126833 | + | 0.674002i | ||||
\(807\) | −11.7051 | − | 33.9176i | −0.412041 | − | 1.19396i | ||||
\(808\) | −2.67327 | + | 2.24539i | −0.0940451 | + | 0.0789927i | ||||
\(809\) | −43.7227 | − | 14.2064i | −1.53721 | − | 0.499469i | −0.586604 | − | 0.809874i | \(-0.699535\pi\) |
−0.950604 | + | 0.310405i | \(0.899535\pi\) | |||||||
\(810\) | 21.0341 | + | 19.1720i | 0.739064 | + | 0.673635i | ||||
\(811\) | −19.3987 | + | 6.30303i | −0.681182 | + | 0.221329i | −0.629113 | − | 0.777314i | \(-0.716582\pi\) |
−0.0520692 | + | 0.998643i | \(0.516582\pi\) | |||||||
\(812\) | 8.70432 | − | 5.58498i | 0.305462 | − | 0.195995i | ||||
\(813\) | −5.01074 | + | 0.0909459i | −0.175734 | + | 0.00318961i | ||||
\(814\) | −2.79826 | − | 2.96500i | −0.0980789 | − | 0.103923i | ||||
\(815\) | 26.9927 | + | 36.9488i | 0.945511 | + | 1.29426i | ||||
\(816\) | −3.85900 | + | 0.849232i | −0.135092 | + | 0.0297291i | ||||
\(817\) | 21.0691 | − | 28.9991i | 0.737113 | − | 1.01455i | ||||
\(818\) | 2.86669 | + | 6.05282i | 0.100231 | + | 0.211632i | ||||
\(819\) | −0.673463 | − | 18.5464i | −0.0235327 | − | 0.648064i | ||||
\(820\) | −25.6162 | − | 39.6949i | −0.894557 | − | 1.38620i | ||||
\(821\) | 3.92568 | + | 5.40323i | 0.137007 | + | 0.188574i | 0.872007 | − | 0.489493i | \(-0.162818\pi\) |
−0.735000 | + | 0.678067i | \(0.762818\pi\) | |||||||
\(822\) | 6.35857 | + | 1.07746i | 0.221781 | + | 0.0375806i | ||||
\(823\) | −5.42342 | − | 16.6916i | −0.189048 | − | 0.581831i | 0.810946 | − | 0.585121i | \(-0.198953\pi\) |
−0.999995 | + | 0.00328953i | \(0.998953\pi\) | |||||||
\(824\) | −16.7534 | − | 4.16829i | −0.583634 | − | 0.145209i | ||||
\(825\) | 0.161985 | + | 6.92898i | 0.00563960 | + | 0.241236i | ||||
\(826\) | 9.25395 | + | 19.5391i | 0.321986 | + | 0.679852i | ||||
\(827\) | −52.2944 | + | 16.9915i | −1.81845 | + | 0.590852i | −0.818590 | + | 0.574378i | \(0.805244\pi\) |
−0.999864 | + | 0.0164732i | \(0.994756\pi\) | |||||||
\(828\) | 9.61357 | − | 6.67295i | 0.334095 | − | 0.231901i | ||||
\(829\) | 5.51800 | − | 4.00906i | 0.191648 | − | 0.139241i | −0.487824 | − | 0.872942i | \(-0.662209\pi\) |
0.679472 | + | 0.733702i | \(0.262209\pi\) | |||||||
\(830\) | 15.4393 | + | 8.38547i | 0.535905 | + | 0.291064i | ||||
\(831\) | 10.0720 | − | 33.0261i | 0.349394 | − | 1.14566i | ||||
\(832\) | 12.7356 | − | 24.0095i | 0.441527 | − | 0.832380i | ||||
\(833\) | 1.69990 | + | 1.23505i | 0.0588981 | + | 0.0427919i | ||||
\(834\) | 12.5478 | + | 25.2967i | 0.434495 | + | 0.875953i | ||||
\(835\) | −0.0580361 | − | 0.177041i | −0.00200842 | − | 0.00612677i | ||||
\(836\) | 3.98443 | − | 10.2119i | 0.137804 | − | 0.353187i | ||||
\(837\) | −16.3377 | + | 13.2865i | −0.564712 | + | 0.459247i | ||||
\(838\) | −44.4359 | + | 5.72610i | −1.53501 | + | 0.197805i | ||||
\(839\) | −15.1216 | − | 46.5395i | −0.522055 | − | 1.60672i | −0.770067 | − | 0.637963i | \(-0.779777\pi\) |
0.248012 | − | 0.968757i | \(-0.420223\pi\) | |||||||
\(840\) | −10.2086 | + | 17.1372i | −0.352228 | + | 0.591288i | ||||
\(841\) | 6.46952 | − | 19.9111i | 0.223087 | − | 0.686591i | ||||
\(842\) | 5.59841 | − | 29.7505i | 0.192934 | − | 1.02527i | ||||
\(843\) | −1.81156 | − | 5.24929i | −0.0623933 | − | 0.180795i | ||||
\(844\) | −5.22889 | − | 19.9518i | −0.179986 | − | 0.686769i | ||||
\(845\) | 3.09920 | − | 1.01595i | 0.106616 | − | 0.0349498i | ||||
\(846\) | −8.16568 | − | 49.2053i | −0.280742 | − | 1.69171i | ||||
\(847\) | −15.2613 | + | 11.0880i | −0.524384 | + | 0.380988i | ||||
\(848\) | 26.5558 | − | 14.9458i | 0.911929 | − | 0.513241i | ||||
\(849\) | −22.6883 | + | 7.82984i | −0.778660 | + | 0.268719i | ||||
\(850\) | −1.74520 | − | 3.63564i | −0.0598599 | − | 0.124702i | ||||
\(851\) | −7.02572 | −0.240838 | ||||||||
\(852\) | −42.3412 | − | 1.68180i | −1.45059 | − | 0.0576174i | ||||
\(853\) | 9.90539 | + | 13.6336i | 0.339154 | + | 0.466806i | 0.944194 | − | 0.329389i | \(-0.106843\pi\) |
−0.605040 | + | 0.796195i | \(0.706843\pi\) | |||||||
\(854\) | 29.5091 | + | 16.1271i | 1.00978 | + | 0.551859i | ||||
\(855\) | 36.0883 | − | 28.4286i | 1.23419 | − | 0.972237i | ||||
\(856\) | −2.17454 | + | 1.82649i | −0.0743243 | + | 0.0624283i | ||||
\(857\) | 22.3994 | 0.765150 | 0.382575 | − | 0.923924i | \(-0.375037\pi\) | ||||
0.382575 | + | 0.923924i | \(0.375037\pi\) | |||||||
\(858\) | −6.58867 | + | 0.970887i | −0.224934 | + | 0.0331455i | ||||
\(859\) | −23.1034 | − | 7.50675i | −0.788278 | − | 0.256127i | −0.112907 | − | 0.993606i | \(-0.536016\pi\) |
−0.675370 | + | 0.737479i | \(0.736016\pi\) | |||||||
\(860\) | 18.1484 | + | 14.7829i | 0.618856 | + | 0.504092i | ||||
\(861\) | −26.5948 | + | 20.0696i | −0.906347 | + | 0.683969i | ||||
\(862\) | −0.873112 | + | 0.112511i | −0.0297383 | + | 0.00383214i | ||||
\(863\) | 33.1359 | + | 10.7665i | 1.12796 | + | 0.366496i | 0.812800 | − | 0.582543i | \(-0.197942\pi\) |
0.315159 | + | 0.949039i | \(0.397942\pi\) | |||||||
\(864\) | 27.2854 | − | 10.9319i | 0.928269 | − | 0.371909i | ||||
\(865\) | −14.2764 | − | 4.59748i | −0.485412 | − | 0.156319i | ||||
\(866\) | 1.37056 | + | 10.6359i | 0.0465736 | + | 0.361422i | ||||
\(867\) | 27.6254 | + | 8.42493i | 0.938206 | + | 0.286126i | ||||
\(868\) | −11.4190 | − | 9.35111i | −0.387585 | − | 0.317397i | ||||
\(869\) | −0.178370 | + | 0.245506i | −0.00605080 | + | 0.00832821i | ||||
\(870\) | −2.30770 | − | 15.3818i | −0.0782382 | − | 0.521492i | ||||
\(871\) | 19.2559 | + | 26.5035i | 0.652462 | + | 0.898037i | ||||
\(872\) | 51.0949 | − | 20.6731i | 1.73029 | − | 0.700080i | ||||
\(873\) | −0.942956 | + | 1.40219i | −0.0319142 | + | 0.0474569i | ||||
\(874\) | −8.08559 | − | 17.0722i | −0.273499 | − | 0.577475i | ||||
\(875\) | −19.4110 | − | 6.13922i | −0.656211 | − | 0.207544i | ||||
\(876\) | −41.0444 | − | 15.1621i | −1.38676 | − | 0.512280i | ||||
\(877\) | 16.7709 | − | 5.44918i | 0.566311 | − | 0.184006i | −0.0118476 | − | 0.999930i | \(-0.503771\pi\) |
0.578159 | + | 0.815924i | \(0.303771\pi\) | |||||||
\(878\) | 6.29828 | − | 11.5245i | 0.212557 | − | 0.388932i | ||||
\(879\) | 30.3624 | − | 43.4262i | 1.02410 | − | 1.46473i | ||||
\(880\) | 6.51474 | + | 2.96607i | 0.219612 | + | 0.0999863i | ||||
\(881\) | 11.5775 | − | 15.9351i | 0.390056 | − | 0.536866i | −0.568158 | − | 0.822920i | \(-0.692344\pi\) |
0.958214 | + | 0.286054i | \(0.0923436\pi\) | |||||||
\(882\) | −13.9790 | − | 6.99332i | −0.470697 | − | 0.235477i | ||||
\(883\) | 0.877936 | + | 0.637858i | 0.0295449 | + | 0.0214656i | 0.602460 | − | 0.798149i | \(-0.294187\pi\) |
−0.572915 | + | 0.819615i | \(0.694187\pi\) | |||||||
\(884\) | 3.26147 | − | 2.09267i | 0.109695 | − | 0.0703840i | ||||
\(885\) | 32.5082 | − | 0.674997i | 1.09275 | − | 0.0226898i | ||||
\(886\) | 34.0820 | + | 36.1129i | 1.14501 | + | 1.21324i | ||||
\(887\) | 21.9230 | + | 7.12322i | 0.736103 | + | 0.239174i | 0.652991 | − | 0.757366i | \(-0.273514\pi\) |
0.0831120 | + | 0.996540i | \(0.473514\pi\) | |||||||
\(888\) | −17.1993 | − | 3.94922i | −0.577171 | − | 0.132527i | ||||
\(889\) | 0.648131 | + | 1.99474i | 0.0217376 | + | 0.0669015i | ||||
\(890\) | −18.4418 | − | 38.6771i | −0.618171 | − | 1.29646i | ||||
\(891\) | −6.11888 | − | 3.79990i | −0.204990 | − | 0.127301i | ||||
\(892\) | −12.4006 | + | 3.24991i | −0.415204 | + | 0.108815i | ||||
\(893\) | −80.5131 | −2.69427 | ||||||||
\(894\) | −19.2712 | + | 2.83974i | −0.644525 | + | 0.0949752i | ||||
\(895\) | −0.0666733 | − | 25.5185i | −0.00222864 | − | 0.852990i | ||||
\(896\) | 11.3406 | + | 17.1992i | 0.378863 | + | 0.574586i | ||||
\(897\) | −6.57625 | + | 9.40576i | −0.219575 | + | 0.314049i | ||||
\(898\) | 10.2077 | + | 10.8159i | 0.340635 | + | 0.360932i | ||||
\(899\) | 11.5086 | 0.383832 | ||||||||
\(900\) | 17.2350 | + | 24.5551i | 0.574500 | + | 0.818505i | ||||
\(901\) | 4.34485 | 0.144748 | ||||||||
\(902\) | 8.20625 | + | 8.69524i | 0.273238 | + | 0.289520i | ||||
\(903\) | 9.45912 | − | 13.5290i | 0.314780 | − | 0.450218i | ||||
\(904\) | 27.5679 | − | 11.1540i | 0.916895 | − | 0.370978i | ||||
\(905\) | −15.6008 | + | 5.11412i | −0.518589 | + | 0.169999i | ||||
\(906\) | 33.7129 | − | 4.96783i | 1.12004 | − | 0.165045i | ||||
\(907\) | −1.65243 | −0.0548681 | −0.0274341 | − | 0.999624i | \(-0.508734\pi\) | ||||
−0.0274341 | + | 0.999624i | \(0.508734\pi\) | |||||||
\(908\) | 3.30302 | + | 12.6033i | 0.109615 | + | 0.418255i | ||||
\(909\) | 3.47785 | − | 1.27131i | 0.115353 | − | 0.0421667i | ||||
\(910\) | 3.56750 | − | 19.2345i | 0.118262 | − | 0.637616i | ||||
\(911\) | −6.28831 | − | 19.3534i | −0.208341 | − | 0.641208i | −0.999560 | − | 0.0296742i | \(-0.990553\pi\) |
0.791219 | − | 0.611533i | \(-0.209447\pi\) | |||||||
\(912\) | −10.1975 | − | 46.3385i | −0.337673 | − | 1.53442i | ||||
\(913\) | −4.22886 | − | 1.37404i | −0.139955 | − | 0.0454741i | ||||
\(914\) | 34.5731 | + | 36.6332i | 1.14358 | + | 1.21172i | ||||
\(915\) | 40.2907 | − | 30.5707i | 1.33197 | − | 1.01064i | ||||
\(916\) | 16.9868 | + | 26.4742i | 0.561258 | + | 0.874733i | ||||
\(917\) | −3.08690 | − | 2.24276i | −0.101938 | − | 0.0740626i | ||||
\(918\) | 4.15481 | + | 0.549777i | 0.137129 | + | 0.0181454i | ||||
\(919\) | −14.6259 | + | 20.1308i | −0.482463 | + | 0.664053i | −0.978976 | − | 0.203976i | \(-0.934614\pi\) |
0.496513 | + | 0.868029i | \(0.334614\pi\) | |||||||
\(920\) | 11.4229 | − | 4.65650i | 0.376602 | − | 0.153520i | ||||
\(921\) | −3.69432 | + | 5.28385i | −0.121732 | + | 0.174109i | ||||
\(922\) | −22.0327 | + | 40.3150i | −0.725608 | + | 1.32770i | ||||
\(923\) | 39.5231 | − | 12.8418i | 1.30092 | − | 0.422694i | ||||
\(924\) | 1.74933 | − | 4.73549i | 0.0575486 | − | 0.155786i | ||||
\(925\) | −0.0941144 | − | 18.0105i | −0.00309446 | − | 0.592183i | ||||
\(926\) | −3.25925 | − | 6.88169i | −0.107106 | − | 0.226146i | ||||
\(927\) | 15.1951 | + | 10.2185i | 0.499072 | + | 0.335620i | ||||
\(928\) | −15.3385 | − | 4.77331i | −0.503511 | − | 0.156692i | ||||
\(929\) | −18.5106 | − | 25.4777i | −0.607315 | − | 0.835897i | 0.389039 | − | 0.921221i | \(-0.372807\pi\) |
−0.996353 | + | 0.0853246i | \(0.972807\pi\) | |||||||
\(930\) | −19.8596 | + | 9.91560i | −0.651221 | + | 0.325145i | ||||
\(931\) | −14.8304 | + | 20.4123i | −0.486046 | + | 0.668985i | ||||
\(932\) | 28.2201 | − | 34.4605i | 0.924380 | − | 1.12879i | ||||
\(933\) | 39.6760 | + | 12.1000i | 1.29893 | + | 0.396137i | ||||
\(934\) | 2.10333 | + | 16.3223i | 0.0688229 | + | 0.534082i | ||||
\(935\) | 0.602063 | + | 0.824132i | 0.0196896 | + | 0.0269520i | ||||
\(936\) | −21.3861 | + | 19.3292i | −0.699025 | + | 0.631795i | ||||
\(937\) | −36.4068 | − | 11.8293i | −1.18936 | − | 0.386446i | −0.353524 | − | 0.935426i | \(-0.615017\pi\) |
−0.835836 | + | 0.548979i | \(0.815017\pi\) | |||||||
\(938\) | −24.6291 | + | 3.17376i | −0.804170 | + | 0.103627i | ||||
\(939\) | −40.4083 | + | 30.4939i | −1.31867 | + | 0.995129i | ||||
\(940\) | 2.90256 | − | 52.4961i | 0.0946711 | − | 1.71224i | ||||
\(941\) | −2.32449 | − | 0.755274i | −0.0757763 | − | 0.0246212i | 0.270884 | − | 0.962612i | \(-0.412684\pi\) |
−0.346660 | + | 0.937991i | \(0.612684\pi\) | |||||||
\(942\) | 22.8982 | − | 3.37422i | 0.746065 | − | 0.109938i | ||||
\(943\) | 20.6038 | 0.670953 | ||||||||
\(944\) | 13.9947 | − | 30.5265i | 0.455489 | − | 0.993553i | ||||
\(945\) | 16.3796 | − | 13.3919i | 0.532830 | − | 0.435637i | ||||
\(946\) | −5.19825 | − | 2.84091i | −0.169010 | − | 0.0923661i | ||||
\(947\) | −12.8379 | − | 17.6699i | −0.417176 | − | 0.574193i | 0.547774 | − | 0.836626i | \(-0.315475\pi\) |
−0.964950 | + | 0.262433i | \(0.915475\pi\) | |||||||
\(948\) | −0.0521321 | + | 1.31249i | −0.00169317 | + | 0.0426276i | ||||
\(949\) | 42.9111 | 1.39295 | ||||||||
\(950\) | 43.6565 | − | 20.9562i | 1.41640 | − | 0.679910i | ||||
\(951\) | 2.35576 | − | 0.812984i | 0.0763907 | − | 0.0263628i | ||||
\(952\) | 0.206354 | + | 2.93014i | 0.00668798 | + | 0.0949665i | ||||
\(953\) | −4.38238 | + | 3.18398i | −0.141959 | + | 0.103139i | −0.656498 | − | 0.754328i | \(-0.727963\pi\) |
0.514539 | + | 0.857467i | \(0.327963\pi\) | |||||||
\(954\) | −31.8851 | + | 5.29137i | −1.03232 | + | 0.171314i | ||||
\(955\) | 32.1227 | + | 43.9710i | 1.03947 | + | 1.42287i | ||||
\(956\) | 2.40667 | − | 0.630731i | 0.0778372 | − | 0.0203993i | ||||
\(957\) | 1.28415 | + | 3.72104i | 0.0415107 | + | 0.120284i | ||||
\(958\) | 4.06948 | − | 21.6256i | 0.131479 | − | 0.698692i | ||||
\(959\) | 1.48152 | − | 4.55966i | 0.0478409 | − | 0.147239i | ||||
\(960\) | 30.5813 | − | 4.97844i | 0.987007 | − | 0.160678i | ||||
\(961\) | 4.50422 | + | 13.8625i | 0.145297 | + | 0.447179i | ||||
\(962\) | 17.1645 | − | 2.21185i | 0.553406 | − | 0.0713130i | ||||
\(963\) | 2.82902 | − | 1.03414i | 0.0911640 | − | 0.0333245i | ||||
\(964\) | 21.7927 | + | 8.50295i | 0.701897 | + | 0.273862i | ||||
\(965\) | −4.03667 | − | 2.91673i | −0.129945 | − | 0.0938929i | ||||
\(966\) | −3.86578 | − | 7.79349i | −0.124379 | − | 0.250752i | ||||
\(967\) | 27.8413 | + | 20.2279i | 0.895315 | + | 0.650485i | 0.937258 | − | 0.348635i | \(-0.113355\pi\) |
−0.0419431 | + | 0.999120i | \(0.513355\pi\) | |||||||
\(968\) | 28.4342 | + | 7.07450i | 0.913911 | + | 0.227383i | ||||
\(969\) | 1.97343 | − | 6.47089i | 0.0633958 | − | 0.207875i | ||||
\(970\) | −1.29217 | + | 1.22591i | −0.0414892 | + | 0.0393615i | ||||
\(971\) | 16.9238 | − | 12.2958i | 0.543110 | − | 0.394592i | −0.282129 | − | 0.959377i | \(-0.591041\pi\) |
0.825239 | + | 0.564784i | \(0.191041\pi\) | |||||||
\(972\) | −31.1600 | + | 1.02533i | −0.999459 | + | 0.0328876i | ||||
\(973\) | 19.9644 | − | 6.48681i | 0.640028 | − | 0.207958i | ||||
\(974\) | −6.70852 | − | 14.1646i | −0.214955 | − | 0.453863i | ||||
\(975\) | −24.1999 | − | 16.7323i | −0.775018 | − | 0.535863i | ||||
\(976\) | −10.2987 | − | 51.2091i | −0.329655 | − | 1.63916i | ||||
\(977\) | −10.1982 | − | 31.3867i | −0.326268 | − | 1.00415i | −0.970865 | − | 0.239628i | \(-0.922975\pi\) |
0.644597 | − | 0.764523i | \(-0.277025\pi\) | |||||||
\(978\) | −49.4212 | − | 8.37439i | −1.58031 | − | 0.267784i | ||||
\(979\) | 6.37403 | + | 8.77310i | 0.203715 | + | 0.280390i | ||||
\(980\) | −12.7746 | − | 10.4056i | −0.408068 | − | 0.332394i | ||||
\(981\) | −58.4236 | + | 2.12150i | −1.86532 | + | 0.0677342i | ||||
\(982\) | −17.8174 | − | 37.6203i | −0.568576 | − | 1.20051i | ||||
\(983\) | −13.0632 | + | 17.9799i | −0.416651 | + | 0.573470i | −0.964825 | − | 0.262894i | \(-0.915323\pi\) |
0.548174 | + | 0.836364i | \(0.315323\pi\) | |||||||
\(984\) | 50.4392 | + | 11.5816i | 1.60794 | + | 0.369208i | ||||
\(985\) | −0.0254668 | − | 9.74715i | −0.000811440 | − | 0.310570i | ||||
\(986\) | −1.57207 | − | 1.66575i | −0.0500649 | − | 0.0530482i | ||||
\(987\) | −37.0731 | + | 0.672884i | −1.18005 | + | 0.0214181i | ||||
\(988\) | 25.1286 | + | 39.1634i | 0.799446 | + | 1.24595i | ||||
\(989\) | −9.70889 | + | 3.15461i | −0.308725 | + | 0.100311i | ||||
\(990\) | −5.42197 | − | 5.31476i | −0.172322 | − | 0.168914i | ||||
\(991\) | −45.2796 | − | 14.7122i | −1.43835 | − | 0.467349i | −0.516970 | − | 0.856004i | \(-0.672940\pi\) |
−0.921384 | + | 0.388655i | \(0.872940\pi\) | |||||||
\(992\) | 0.285666 | + | 22.9235i | 0.00906992 | + | 0.727823i | ||||
\(993\) | −14.4450 | − | 41.8567i | −0.458397 | − | 1.32828i | ||||
\(994\) | −5.82557 | + | 30.9577i | −0.184776 | + | 0.981918i | ||||
\(995\) | −40.2960 | − | 29.1162i | −1.27747 | − | 0.923046i | ||||
\(996\) | −18.5261 | + | 5.21631i | −0.587021 | + | 0.165285i | ||||
\(997\) | −0.0218001 | − | 0.0300053i | −0.000690416 | − | 0.000950276i | 0.808672 | − | 0.588260i | \(-0.200187\pi\) |
−0.809362 | + | 0.587310i | \(0.800187\pi\) | |||||||
\(998\) | −6.84542 | − | 7.25332i | −0.216688 | − | 0.229600i | ||||
\(999\) | 15.7189 | + | 10.1615i | 0.497324 | + | 0.321494i |
(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 | 300.2.r.a.119.15 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.119.42 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.119.53 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.119.4 | ✓ | 224 | |
25.4 | even | 10 | inner | 300.2.r.a.179.4 | yes | 224 | |
75.29 | odd | 10 | inner | 300.2.r.a.179.53 | yes | 224 | |
100.79 | odd | 10 | inner | 300.2.r.a.179.42 | yes | 224 | |
300.179 | even | 10 | inner | 300.2.r.a.179.15 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.119.4 | ✓ | 224 | 12.11 | even | 2 | inner | |
300.2.r.a.119.15 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.119.42 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.119.53 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.179.4 | yes | 224 | 25.4 | even | 10 | inner | |
300.2.r.a.179.15 | yes | 224 | 300.179 | even | 10 | inner | |
300.2.r.a.179.42 | yes | 224 | 100.79 | odd | 10 | inner | |
300.2.r.a.179.53 | yes | 224 | 75.29 | odd | 10 | inner |