Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 19.5 | ||
Character | \(\chi\) | \(=\) | 429.19 |
Dual form | 429.2.bs.b.271.5 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.821551 | + | 1.01453i | −0.580924 | + | 0.717381i | −0.979880 | − | 0.199589i | \(-0.936039\pi\) |
0.398956 | + | 0.916970i | \(0.369373\pi\) | |||||||
\(3\) | −0.978148 | − | 0.207912i | −0.564734 | − | 0.120038i | ||||
\(4\) | 0.0614966 | + | 0.289319i | 0.0307483 | + | 0.144659i | ||||
\(5\) | −3.20835 | + | 0.508153i | −1.43482 | + | 0.227253i | −0.824930 | − | 0.565235i | \(-0.808786\pi\) |
−0.609888 | + | 0.792488i | \(0.708786\pi\) | |||||||
\(6\) | 1.01453 | − | 0.821551i | 0.414180 | − | 0.335397i | ||||
\(7\) | −0.510870 | + | 0.786671i | −0.193091 | + | 0.297334i | −0.921934 | − | 0.387347i | \(-0.873392\pi\) |
0.728843 | + | 0.684681i | \(0.240058\pi\) | |||||||
\(8\) | −2.67039 | − | 1.36063i | −0.944124 | − | 0.481055i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | 2.12029 | − | 3.67244i | 0.670493 | − | 1.16133i | ||||
\(11\) | 2.06950 | − | 2.59175i | 0.623978 | − | 0.781442i | ||||
\(12\) | − | 0.295782i | − | 0.0853850i | ||||||
\(13\) | −2.94286 | − | 2.08316i | −0.816204 | − | 0.577764i | ||||
\(14\) | −0.378396 | − | 1.16458i | −0.101131 | − | 0.311248i | ||||
\(15\) | 3.24389 | + | 0.170005i | 0.837569 | + | 0.0438951i | ||||
\(16\) | 3.03384 | − | 1.35075i | 0.758459 | − | 0.337688i | ||||
\(17\) | −0.478350 | + | 4.55119i | −0.116017 | + | 1.10383i | 0.769316 | + | 0.638869i | \(0.220597\pi\) |
−0.885333 | + | 0.464958i | \(0.846069\pi\) | |||||||
\(18\) | −1.16317 | + | 0.592665i | −0.274162 | + | 0.139692i | ||||
\(19\) | 7.93128 | − | 0.415661i | 1.81956 | − | 0.0953591i | 0.888199 | − | 0.459458i | \(-0.151956\pi\) |
0.931360 | + | 0.364099i | \(0.118623\pi\) | |||||||
\(20\) | −0.344321 | − | 0.896986i | −0.0769925 | − | 0.200572i | ||||
\(21\) | 0.663265 | − | 0.663265i | 0.144736 | − | 0.144736i | ||||
\(22\) | 0.929209 | + | 4.22883i | 0.198108 | + | 0.901589i | ||||
\(23\) | −3.55972 | − | 2.05521i | −0.742254 | − | 0.428540i | 0.0806346 | − | 0.996744i | \(-0.474305\pi\) |
−0.822888 | + | 0.568203i | \(0.807639\pi\) | |||||||
\(24\) | 2.32914 | + | 1.88610i | 0.475434 | + | 0.384999i | ||||
\(25\) | 5.28001 | − | 1.71558i | 1.05600 | − | 0.343116i | ||||
\(26\) | 4.53114 | − | 1.27421i | 0.888630 | − | 0.249892i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −0.259016 | − | 0.0994268i | −0.0489493 | − | 0.0187899i | ||||
\(29\) | 2.69307 | − | 2.42485i | 0.500091 | − | 0.450284i | −0.380071 | − | 0.924957i | \(-0.624101\pi\) |
0.880162 | + | 0.474674i | \(0.157434\pi\) | |||||||
\(30\) | −2.83750 | + | 3.15136i | −0.518054 | + | 0.575357i | ||||
\(31\) | 1.10882 | − | 7.00084i | 0.199151 | − | 1.25739i | −0.662181 | − | 0.749344i | \(-0.730369\pi\) |
0.861331 | − | 0.508043i | \(-0.169631\pi\) | |||||||
\(32\) | 0.429312 | − | 1.60221i | 0.0758924 | − | 0.283234i | ||||
\(33\) | −2.56313 | + | 2.10484i | −0.446184 | + | 0.366406i | ||||
\(34\) | −4.22434 | − | 4.22434i | −0.724468 | − | 0.724468i | ||||
\(35\) | 1.23930 | − | 2.78352i | 0.209480 | − | 0.470500i | ||||
\(36\) | −0.0614966 | + | 0.289319i | −0.0102494 | + | 0.0482198i | ||||
\(37\) | −0.00716072 | + | 0.136635i | −0.00117722 | + | 0.0224626i | −0.999155 | − | 0.0411013i | \(-0.986913\pi\) |
0.997978 | + | 0.0635639i | \(0.0202467\pi\) | |||||||
\(38\) | −6.09424 | + | 8.38801i | −0.988617 | + | 1.36071i | ||||
\(39\) | 2.44544 | + | 2.64949i | 0.391584 | + | 0.424258i | ||||
\(40\) | 9.25894 | + | 3.00841i | 1.46397 | + | 0.475672i | ||||
\(41\) | −6.13557 | − | 9.44794i | −0.958215 | − | 1.47552i | −0.877953 | − | 0.478747i | \(-0.841091\pi\) |
−0.0802617 | − | 0.996774i | \(-0.525576\pi\) | |||||||
\(42\) | 0.127997 | + | 1.21781i | 0.0197503 | + | 0.187912i | ||||
\(43\) | 1.31956 | + | 2.28554i | 0.201231 | + | 0.348542i | 0.948925 | − | 0.315501i | \(-0.102173\pi\) |
−0.747695 | + | 0.664043i | \(0.768839\pi\) | |||||||
\(44\) | 0.877109 | + | 0.439362i | 0.132229 | + | 0.0662363i | ||||
\(45\) | −3.13766 | − | 0.840733i | −0.467735 | − | 0.125329i | ||||
\(46\) | 5.00956 | − | 1.92299i | 0.738620 | − | 0.283530i | ||||
\(47\) | −1.18051 | + | 2.31688i | −0.172195 | + | 0.337952i | −0.960935 | − | 0.276776i | \(-0.910734\pi\) |
0.788739 | + | 0.614728i | \(0.210734\pi\) | |||||||
\(48\) | −3.24838 | + | 0.690464i | −0.468863 | + | 0.0996599i | ||||
\(49\) | 2.48929 | + | 5.59104i | 0.355613 | + | 0.798721i | ||||
\(50\) | −2.59729 | + | 6.76617i | −0.367312 | + | 0.956881i | ||||
\(51\) | 1.41414 | − | 4.35228i | 0.198020 | − | 0.609442i | ||||
\(52\) | 0.421721 | − | 0.979533i | 0.0584821 | − | 0.135837i | ||||
\(53\) | 10.2945 | − | 7.47942i | 1.41406 | − | 1.02738i | 0.421348 | − | 0.906899i | \(-0.361557\pi\) |
0.992716 | − | 0.120478i | \(-0.0384427\pi\) | |||||||
\(54\) | 1.26097 | − | 0.337877i | 0.171597 | − | 0.0459793i | ||||
\(55\) | −5.32268 | + | 9.36686i | −0.717710 | + | 1.26303i | ||||
\(56\) | 2.43459 | − | 1.40561i | 0.325336 | − | 0.187833i | ||||
\(57\) | −7.84438 | − | 1.24243i | −1.03901 | − | 0.164564i | ||||
\(58\) | 0.247592 | + | 4.72434i | 0.0325105 | + | 0.620336i | ||||
\(59\) | −3.88350 | − | 2.52198i | −0.505589 | − | 0.328333i | 0.266514 | − | 0.963831i | \(-0.414128\pi\) |
−0.772103 | + | 0.635498i | \(0.780795\pi\) | |||||||
\(60\) | 0.150303 | + | 0.948973i | 0.0194040 | + | 0.122512i | ||||
\(61\) | −9.96140 | − | 1.04698i | −1.27543 | − | 0.134053i | −0.557503 | − | 0.830175i | \(-0.688240\pi\) |
−0.717923 | + | 0.696122i | \(0.754907\pi\) | |||||||
\(62\) | 6.19161 | + | 6.87648i | 0.786335 | + | 0.873314i | ||||
\(63\) | −0.786671 | + | 0.510870i | −0.0991113 | + | 0.0643636i | ||||
\(64\) | 5.17680 | + | 7.12526i | 0.647100 | + | 0.890657i | ||||
\(65\) | 10.5003 | + | 5.18808i | 1.30240 | + | 0.643502i | ||||
\(66\) | −0.0296816 | − | 4.32961i | −0.00365355 | − | 0.532938i | ||||
\(67\) | −1.77817 | − | 6.63623i | −0.217238 | − | 0.810744i | −0.985367 | − | 0.170448i | \(-0.945478\pi\) |
0.768128 | − | 0.640296i | \(-0.221188\pi\) | |||||||
\(68\) | −1.34616 | + | 0.141487i | −0.163246 | + | 0.0171579i | ||||
\(69\) | 3.05463 | + | 2.75040i | 0.367735 | + | 0.331110i | ||||
\(70\) | 1.80581 | + | 3.54411i | 0.215836 | + | 0.423602i | ||||
\(71\) | −4.00492 | − | 4.94566i | −0.475296 | − | 0.586942i | 0.481956 | − | 0.876195i | \(-0.339926\pi\) |
−0.957253 | + | 0.289253i | \(0.906593\pi\) | |||||||
\(72\) | −1.88610 | − | 2.32914i | −0.222279 | − | 0.274492i | ||||
\(73\) | −3.42008 | − | 6.71229i | −0.400291 | − | 0.785615i | 0.599602 | − | 0.800299i | \(-0.295326\pi\) |
−0.999892 | + | 0.0146841i | \(0.995326\pi\) | |||||||
\(74\) | −0.132737 | − | 0.119517i | −0.0154304 | − | 0.0138936i | ||||
\(75\) | −5.52132 | + | 0.580314i | −0.637547 | + | 0.0670089i | ||||
\(76\) | 0.608005 | + | 2.26910i | 0.0697429 | + | 0.260284i | ||||
\(77\) | 0.981609 | + | 2.95207i | 0.111865 | + | 0.336419i | ||||
\(78\) | −4.69705 | + | 0.304284i | −0.531836 | + | 0.0344534i | ||||
\(79\) | −4.74160 | − | 6.52626i | −0.533472 | − | 0.734261i | 0.454183 | − | 0.890909i | \(-0.349931\pi\) |
−0.987655 | + | 0.156647i | \(0.949931\pi\) | |||||||
\(80\) | −9.04723 | + | 5.87534i | −1.01151 | + | 0.656883i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | 14.6259 | + | 1.53724i | 1.61516 | + | 0.169760i | ||||
\(83\) | 1.43482 | + | 9.05912i | 0.157492 | + | 0.994368i | 0.932172 | + | 0.362014i | \(0.117911\pi\) |
−0.774680 | + | 0.632353i | \(0.782089\pi\) | |||||||
\(84\) | 0.232683 | + | 0.151106i | 0.0253878 | + | 0.0164871i | ||||
\(85\) | −0.777988 | − | 14.8449i | −0.0843847 | − | 1.61016i | ||||
\(86\) | −3.40284 | − | 0.538956i | −0.366937 | − | 0.0581171i | ||||
\(87\) | −3.13838 | + | 1.81194i | −0.336469 | + | 0.194261i | ||||
\(88\) | −9.05278 | + | 4.10515i | −0.965030 | + | 0.437610i | ||||
\(89\) | −8.62488 | + | 2.31103i | −0.914235 | + | 0.244969i | −0.685120 | − | 0.728431i | \(-0.740250\pi\) |
−0.229116 | + | 0.973399i | \(0.573583\pi\) | |||||||
\(90\) | 3.43069 | − | 2.49255i | 0.361627 | − | 0.262737i | ||||
\(91\) | 3.14218 | − | 1.25084i | 0.329390 | − | 0.131124i | ||||
\(92\) | 0.375699 | − | 1.15628i | 0.0391693 | − | 0.120551i | ||||
\(93\) | −2.54015 | + | 6.61731i | −0.263401 | + | 0.686184i | ||||
\(94\) | −1.38070 | − | 3.10110i | −0.142408 | − | 0.319854i | ||||
\(95\) | −25.2351 | + | 5.36388i | −2.58907 | + | 0.550323i | ||||
\(96\) | −0.753050 | + | 1.47794i | −0.0768578 | + | 0.150842i | ||||
\(97\) | 4.51206 | − | 1.73202i | 0.458131 | − | 0.175860i | −0.118348 | − | 0.992972i | \(-0.537760\pi\) |
0.576478 | + | 0.817112i | \(0.304426\pi\) | |||||||
\(98\) | −7.71737 | − | 2.06786i | −0.779572 | − | 0.208886i | ||||
\(99\) | 2.94474 | − | 1.52594i | 0.295958 | − | 0.153363i | ||||
\(100\) | 0.821052 | + | 1.42210i | 0.0821052 | + | 0.142210i | ||||
\(101\) | 1.10451 | + | 10.5087i | 0.109902 | + | 1.04565i | 0.900958 | + | 0.433907i | \(0.142865\pi\) |
−0.791055 | + | 0.611745i | \(0.790468\pi\) | |||||||
\(102\) | 3.25374 | + | 5.01031i | 0.322168 | + | 0.496095i | ||||
\(103\) | −5.53357 | − | 1.79797i | −0.545239 | − | 0.177159i | 0.0234296 | − | 0.999725i | \(-0.492541\pi\) |
−0.568669 | + | 0.822567i | \(0.692541\pi\) | |||||||
\(104\) | 5.02418 | + | 9.56699i | 0.492661 | + | 0.938120i | ||||
\(105\) | −1.79095 | + | 2.46503i | −0.174778 | + | 0.240562i | ||||
\(106\) | −0.869385 | + | 16.5888i | −0.0844421 | + | 1.61125i | ||||
\(107\) | −1.01122 | + | 4.75744i | −0.0977588 | + | 0.459919i | 0.901853 | + | 0.432044i | \(0.142207\pi\) |
−0.999611 | + | 0.0278751i | \(0.991126\pi\) | |||||||
\(108\) | 0.120305 | − | 0.270211i | 0.0115764 | − | 0.0260010i | ||||
\(109\) | −13.0548 | − | 13.0548i | −1.25042 | − | 1.25042i | −0.955531 | − | 0.294892i | \(-0.904716\pi\) |
−0.294892 | − | 0.955531i | \(-0.595284\pi\) | |||||||
\(110\) | −5.13012 | − | 13.0954i | −0.489138 | − | 1.24859i | ||||
\(111\) | 0.0354122 | − | 0.132160i | 0.00336118 | − | 0.0125441i | ||||
\(112\) | −0.487300 | + | 3.07669i | −0.0460455 | + | 0.290720i | ||||
\(113\) | 9.14885 | − | 10.1608i | 0.860651 | − | 0.955850i | −0.138754 | − | 0.990327i | \(-0.544310\pi\) |
0.999406 | + | 0.0344767i | \(0.0109764\pi\) | |||||||
\(114\) | 7.70504 | − | 6.93764i | 0.721643 | − | 0.649770i | ||||
\(115\) | 12.4652 | + | 4.78494i | 1.16239 | + | 0.446198i | ||||
\(116\) | 0.867170 | + | 0.630036i | 0.0805147 | + | 0.0584973i | ||||
\(117\) | −1.84114 | − | 3.10003i | −0.170214 | − | 0.286598i | ||||
\(118\) | 5.74912 | − | 1.86800i | 0.529249 | − | 0.171963i | ||||
\(119\) | −3.33592 | − | 2.70137i | −0.305803 | − | 0.247635i | ||||
\(120\) | −8.43113 | − | 4.86771i | −0.769653 | − | 0.444360i | ||||
\(121\) | −2.43433 | − | 10.7273i | −0.221303 | − | 0.975205i | ||||
\(122\) | 9.24599 | − | 9.24599i | 0.837093 | − | 0.837093i | ||||
\(123\) | 4.03715 | + | 10.5171i | 0.364018 | + | 0.948299i | ||||
\(124\) | 2.09366 | − | 0.109724i | 0.188016 | − | 0.00985352i | ||||
\(125\) | −1.59688 | + | 0.813650i | −0.142829 | + | 0.0727751i | ||||
\(126\) | 0.127997 | − | 1.21781i | 0.0114029 | − | 0.108491i | ||||
\(127\) | −14.3108 | + | 6.37156i | −1.26987 | + | 0.565384i | −0.927375 | − | 0.374134i | \(-0.877940\pi\) |
−0.342499 | + | 0.939518i | \(0.611273\pi\) | |||||||
\(128\) | −8.16888 | − | 0.428113i | −0.722033 | − | 0.0378402i | ||||
\(129\) | −0.815532 | − | 2.50995i | −0.0718036 | − | 0.220989i | ||||
\(130\) | −13.8900 | + | 6.39061i | −1.21823 | + | 0.560494i | ||||
\(131\) | 8.87950i | 0.775805i | 0.921700 | + | 0.387903i | \(0.126800\pi\) | ||||
−0.921700 | + | 0.387903i | \(0.873200\pi\) | |||||||
\(132\) | −0.766594 | − | 0.612122i | −0.0667234 | − | 0.0532784i | ||||
\(133\) | −3.72487 | + | 6.45166i | −0.322987 | + | 0.559430i | ||||
\(134\) | 8.19351 | + | 3.64799i | 0.707812 | + | 0.315138i | ||||
\(135\) | 2.89429 | + | 1.47472i | 0.249101 | + | 0.126923i | ||||
\(136\) | 7.46987 | − | 11.5026i | 0.640536 | − | 0.986339i | ||||
\(137\) | 10.8559 | − | 8.79094i | 0.927483 | − | 0.751061i | −0.0412548 | − | 0.999149i | \(-0.513136\pi\) |
0.968738 | + | 0.248088i | \(0.0798022\pi\) | |||||||
\(138\) | −5.29990 | + | 0.839422i | −0.451158 | + | 0.0714564i | ||||
\(139\) | 0.765244 | + | 3.60019i | 0.0649072 | + | 0.305364i | 0.998611 | − | 0.0526811i | \(-0.0167767\pi\) |
−0.933704 | + | 0.358045i | \(0.883443\pi\) | |||||||
\(140\) | 0.881537 | + | 0.187376i | 0.0745035 | + | 0.0158362i | ||||
\(141\) | 1.63642 | − | 2.02081i | 0.137812 | − | 0.170183i | ||||
\(142\) | 8.30777 | 0.697172 | ||||||||
\(143\) | −11.4893 | + | 3.31607i | −0.960782 | + | 0.277304i | ||||
\(144\) | 3.32095 | 0.276746 | ||||||||
\(145\) | −7.40812 | + | 9.14827i | −0.615211 | + | 0.759722i | ||||
\(146\) | 9.61960 | + | 2.04471i | 0.796124 | + | 0.169221i | ||||
\(147\) | −1.27245 | − | 5.98642i | −0.104950 | − | 0.493752i | ||||
\(148\) | −0.0399713 | + | 0.00633084i | −0.00328562 | + | 0.000520392i | ||||
\(149\) | 2.13168 | − | 1.72620i | 0.174634 | − | 0.141416i | −0.538018 | − | 0.842933i | \(-0.680827\pi\) |
0.712653 | + | 0.701517i | \(0.247494\pi\) | |||||||
\(150\) | 3.94730 | − | 6.07831i | 0.322296 | − | 0.496292i | ||||
\(151\) | −3.39161 | − | 1.72811i | −0.276006 | − | 0.140632i | 0.310509 | − | 0.950570i | \(-0.399500\pi\) |
−0.586515 | + | 0.809938i | \(0.699500\pi\) | |||||||
\(152\) | −21.7451 | − | 9.68156i | −1.76376 | − | 0.785278i | ||||
\(153\) | −2.28813 | + | 3.96316i | −0.184984 | + | 0.320402i | ||||
\(154\) | −3.80140 | − | 1.42940i | −0.306326 | − | 0.115184i | ||||
\(155\) | 23.0246i | 1.84938i | ||||||||
\(156\) | −0.616161 | + | 0.870447i | −0.0493324 | + | 0.0696915i | ||||
\(157\) | −6.73156 | − | 20.7176i | −0.537237 | − | 1.65345i | −0.738765 | − | 0.673963i | \(-0.764591\pi\) |
0.201528 | − | 0.979483i | \(-0.435409\pi\) | |||||||
\(158\) | 10.5166 | + | 0.551149i | 0.836652 | + | 0.0438471i | ||||
\(159\) | −11.6246 | + | 5.17562i | −0.921894 | + | 0.410453i | ||||
\(160\) | −0.563214 | + | 5.35862i | −0.0445260 | + | 0.423636i | ||||
\(161\) | 3.43533 | − | 1.75039i | 0.270742 | − | 0.137950i | ||||
\(162\) | −1.30367 | + | 0.0683223i | −0.102426 | + | 0.00536791i | ||||
\(163\) | −0.976098 | − | 2.54282i | −0.0764539 | − | 0.199169i | 0.890027 | − | 0.455908i | \(-0.150685\pi\) |
−0.966481 | + | 0.256739i | \(0.917352\pi\) | |||||||
\(164\) | 2.35615 | − | 2.35615i | 0.183984 | − | 0.183984i | ||||
\(165\) | 7.15385 | − | 8.05553i | 0.556926 | − | 0.627122i | ||||
\(166\) | −10.3695 | − | 5.98685i | −0.804832 | − | 0.464670i | ||||
\(167\) | 5.97299 | + | 4.83683i | 0.462204 | + | 0.374285i | 0.831953 | − | 0.554846i | \(-0.187223\pi\) |
−0.369749 | + | 0.929132i | \(0.620556\pi\) | |||||||
\(168\) | −2.67363 | + | 0.868716i | −0.206275 | + | 0.0670229i | ||||
\(169\) | 4.32090 | + | 12.2609i | 0.332377 | + | 0.943147i | ||||
\(170\) | 15.6998 | + | 11.4065i | 1.20412 | + | 0.874842i | ||||
\(171\) | 7.41465 | + | 2.84622i | 0.567012 | + | 0.217656i | ||||
\(172\) | −0.580102 | + | 0.522326i | −0.0442323 | + | 0.0398270i | ||||
\(173\) | 3.92131 | − | 4.35505i | 0.298132 | − | 0.331109i | −0.575404 | − | 0.817870i | \(-0.695155\pi\) |
0.873535 | + | 0.486761i | \(0.161822\pi\) | |||||||
\(174\) | 0.740064 | − | 4.67258i | 0.0561041 | − | 0.354227i | ||||
\(175\) | −1.34780 | + | 5.03007i | −0.101884 | + | 0.380238i | ||||
\(176\) | 2.77772 | − | 10.6583i | 0.209379 | − | 0.803402i | ||||
\(177\) | 3.27429 | + | 3.27429i | 0.246111 | + | 0.246111i | ||||
\(178\) | 4.74116 | − | 10.6488i | 0.355365 | − | 0.798163i | ||||
\(179\) | 2.17484 | − | 10.2318i | 0.162555 | − | 0.764761i | −0.819032 | − | 0.573747i | \(-0.805489\pi\) |
0.981587 | − | 0.191014i | \(-0.0611776\pi\) | |||||||
\(180\) | 0.0502845 | − | 0.959486i | 0.00374799 | − | 0.0715158i | ||||
\(181\) | −0.612721 | + | 0.843338i | −0.0455432 | + | 0.0626848i | −0.831181 | − | 0.556002i | \(-0.812335\pi\) |
0.785638 | + | 0.618686i | \(0.212335\pi\) | |||||||
\(182\) | −1.31244 | + | 4.21547i | −0.0972849 | + | 0.312472i | ||||
\(183\) | 9.52604 | + | 3.09520i | 0.704185 | + | 0.228804i | ||||
\(184\) | 6.70946 | + | 10.3317i | 0.494628 | + | 0.761660i | ||||
\(185\) | −0.0464572 | − | 0.442011i | −0.00341560 | − | 0.0324973i | ||||
\(186\) | −4.62661 | − | 8.01352i | −0.339239 | − | 0.587580i | ||||
\(187\) | 10.8056 | + | 10.6585i | 0.790184 | + | 0.779424i | ||||
\(188\) | −0.742915 | − | 0.199064i | −0.0541827 | − | 0.0145182i | ||||
\(189\) | 0.875697 | − | 0.336148i | 0.0636976 | − | 0.0244512i | ||||
\(190\) | 15.2901 | − | 30.0085i | 1.10926 | − | 2.17704i | ||||
\(191\) | 20.4538 | − | 4.34758i | 1.47998 | − | 0.314580i | 0.604024 | − | 0.796966i | \(-0.293563\pi\) |
0.875958 | + | 0.482387i | \(0.160230\pi\) | |||||||
\(192\) | −3.58225 | − | 8.04587i | −0.258527 | − | 0.580661i | ||||
\(193\) | −2.14536 | + | 5.58885i | −0.154426 | + | 0.402294i | −0.988867 | − | 0.148804i | \(-0.952458\pi\) |
0.834440 | + | 0.551098i | \(0.185791\pi\) | |||||||
\(194\) | −1.94970 | + | 6.00057i | −0.139980 | + | 0.430816i | ||||
\(195\) | −9.19218 | − | 7.25784i | −0.658266 | − | 0.519745i | ||||
\(196\) | −1.46451 | + | 1.06403i | −0.104608 | + | 0.0760021i | ||||
\(197\) | 19.1769 | − | 5.13844i | 1.36630 | − | 0.366099i | 0.500174 | − | 0.865925i | \(-0.333269\pi\) |
0.866126 | + | 0.499826i | \(0.166603\pi\) | |||||||
\(198\) | −0.871143 | + | 4.24117i | −0.0619095 | + | 0.301407i | ||||
\(199\) | 4.58140 | − | 2.64507i | 0.324767 | − | 0.187504i | −0.328748 | − | 0.944418i | \(-0.606627\pi\) |
0.653515 | + | 0.756913i | \(0.273293\pi\) | |||||||
\(200\) | −16.4339 | − | 2.60288i | −1.16206 | − | 0.184051i | ||||
\(201\) | 0.359565 | + | 6.86091i | 0.0253618 | + | 0.483931i | ||||
\(202\) | −11.5688 | − | 7.51285i | −0.813976 | − | 0.528602i | ||||
\(203\) | 0.531752 | + | 3.35735i | 0.0373216 | + | 0.235640i | ||||
\(204\) | 1.34616 | + | 0.141487i | 0.0942502 | + | 0.00990610i | ||||
\(205\) | 24.4860 | + | 27.1945i | 1.71018 | + | 1.89935i | ||||
\(206\) | 6.37020 | − | 4.13686i | 0.443833 | − | 0.288229i | ||||
\(207\) | −2.41604 | − | 3.32539i | −0.167926 | − | 0.231131i | ||||
\(208\) | −11.7420 | − | 2.34489i | −0.814161 | − | 0.162589i | ||||
\(209\) | 15.3365 | − | 21.4161i | 1.06085 | − | 1.48138i | ||||
\(210\) | −1.02949 | − | 3.84211i | −0.0710416 | − | 0.265131i | ||||
\(211\) | 22.5249 | − | 2.36746i | 1.55068 | − | 0.162983i | 0.709877 | − | 0.704326i | \(-0.248751\pi\) |
0.840802 | + | 0.541343i | \(0.182084\pi\) | |||||||
\(212\) | 2.79701 | + | 2.51844i | 0.192100 | + | 0.172967i | ||||
\(213\) | 2.88914 | + | 5.67026i | 0.197961 | + | 0.388520i | ||||
\(214\) | −3.99579 | − | 4.93439i | −0.273147 | − | 0.337308i | ||||
\(215\) | −5.39501 | − | 6.66228i | −0.367937 | − | 0.454364i | ||||
\(216\) | 1.36063 | + | 2.67039i | 0.0925791 | + | 0.181697i | ||||
\(217\) | 4.94089 | + | 4.44880i | 0.335410 | + | 0.302004i | ||||
\(218\) | 23.9697 | − | 2.51931i | 1.62343 | − | 0.170629i | ||||
\(219\) | 1.94978 | + | 7.27669i | 0.131754 | + | 0.491713i | ||||
\(220\) | −3.03734 | − | 0.963921i | −0.204777 | − | 0.0649875i | ||||
\(221\) | 10.8886 | − | 12.3971i | 0.732445 | − | 0.833917i | ||||
\(222\) | 0.104988 | + | 0.144503i | 0.00704630 | + | 0.00969840i | ||||
\(223\) | 4.31672 | − | 2.80331i | 0.289069 | − | 0.187723i | −0.391956 | − | 0.919984i | \(-0.628201\pi\) |
0.681025 | + | 0.732261i | \(0.261535\pi\) | |||||||
\(224\) | 1.04109 | + | 1.15625i | 0.0695610 | + | 0.0772553i | ||||
\(225\) | 5.52132 | + | 0.580314i | 0.368088 | + | 0.0386876i | ||||
\(226\) | 2.79223 | + | 17.6294i | 0.185736 | + | 1.17269i | ||||
\(227\) | 11.5836 | + | 7.52247i | 0.768830 | + | 0.499284i | 0.868471 | − | 0.495740i | \(-0.165103\pi\) |
−0.0996417 | + | 0.995023i | \(0.531770\pi\) | |||||||
\(228\) | −0.122945 | − | 2.34593i | −0.00814223 | − | 0.155363i | ||||
\(229\) | 21.4486 | + | 3.39712i | 1.41736 | + | 0.224488i | 0.817645 | − | 0.575723i | \(-0.195279\pi\) |
0.599718 | + | 0.800211i | \(0.295279\pi\) | |||||||
\(230\) | −15.0953 | + | 8.71525i | −0.995352 | + | 0.574667i | ||||
\(231\) | −0.346389 | − | 3.09164i | −0.0227907 | − | 0.203415i | ||||
\(232\) | −10.4909 | + | 2.81102i | −0.688759 | + | 0.184552i | ||||
\(233\) | −11.3011 | + | 8.21075i | −0.740362 | + | 0.537904i | −0.892824 | − | 0.450405i | \(-0.851280\pi\) |
0.152463 | + | 0.988309i | \(0.451280\pi\) | |||||||
\(234\) | 4.65767 | + | 0.678936i | 0.304481 | + | 0.0443835i | ||||
\(235\) | 2.61016 | − | 8.03325i | 0.170268 | − | 0.524032i | ||||
\(236\) | 0.490833 | − | 1.27866i | 0.0319505 | − | 0.0832339i | ||||
\(237\) | 3.28110 | + | 7.36948i | 0.213130 | + | 0.478699i | ||||
\(238\) | 5.48125 | − | 1.16508i | 0.355297 | − | 0.0755207i | ||||
\(239\) | −7.23011 | + | 14.1899i | −0.467677 | + | 0.917868i | 0.529884 | + | 0.848070i | \(0.322235\pi\) |
−0.997561 | + | 0.0697979i | \(0.977765\pi\) | |||||||
\(240\) | 10.0711 | − | 3.86592i | 0.650085 | − | 0.249544i | ||||
\(241\) | −23.8804 | − | 6.39874i | −1.53827 | − | 0.412179i | −0.612566 | − | 0.790419i | \(-0.709863\pi\) |
−0.925708 | + | 0.378240i | \(0.876529\pi\) | |||||||
\(242\) | 12.8831 | + | 6.34328i | 0.828154 | + | 0.407762i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | −0.309680 | − | 2.94640i | −0.0198252 | − | 0.188624i | ||||
\(245\) | −10.8276 | − | 16.6731i | −0.691752 | − | 1.06520i | ||||
\(246\) | −13.9867 | − | 4.54455i | −0.891758 | − | 0.289750i | ||||
\(247\) | −24.2066 | − | 15.2989i | −1.54023 | − | 0.973444i | ||||
\(248\) | −12.4865 | + | 17.1862i | −0.792896 | + | 1.09133i | ||||
\(249\) | 0.480028 | − | 9.15947i | 0.0304205 | − | 0.580458i | ||||
\(250\) | 0.486444 | − | 2.28854i | 0.0307654 | − | 0.144740i | ||||
\(251\) | −2.03094 | + | 4.56156i | −0.128192 | + | 0.287923i | −0.966227 | − | 0.257693i | \(-0.917038\pi\) |
0.838035 | + | 0.545616i | \(0.183704\pi\) | |||||||
\(252\) | −0.196182 | − | 0.196182i | −0.0123583 | − | 0.0123583i | ||||
\(253\) | −12.6934 | + | 4.97266i | −0.798029 | + | 0.312628i | ||||
\(254\) | 5.29287 | − | 19.7533i | 0.332104 | − | 1.23943i | ||||
\(255\) | −2.32544 | + | 14.6823i | −0.145625 | + | 0.919438i | ||||
\(256\) | −4.64099 | + | 5.15435i | −0.290062 | + | 0.322147i | ||||
\(257\) | −4.29270 | + | 3.86516i | −0.267771 | + | 0.241102i | −0.792067 | − | 0.610434i | \(-0.790995\pi\) |
0.524296 | + | 0.851536i | \(0.324328\pi\) | |||||||
\(258\) | 3.21642 | + | 1.23467i | 0.200246 | + | 0.0768671i | ||||
\(259\) | −0.103828 | − | 0.0754358i | −0.00645158 | − | 0.00468735i | ||||
\(260\) | −0.855275 | + | 3.35698i | −0.0530419 | + | 0.208191i | ||||
\(261\) | 3.44652 | − | 1.11984i | 0.213334 | − | 0.0693165i | ||||
\(262\) | −9.00852 | − | 7.29496i | −0.556548 | − | 0.450684i | ||||
\(263\) | −6.93164 | − | 4.00199i | −0.427424 | − | 0.246773i | 0.270825 | − | 0.962629i | \(-0.412704\pi\) |
−0.698248 | + | 0.715856i | \(0.746037\pi\) | |||||||
\(264\) | 9.70846 | − | 2.13326i | 0.597515 | − | 0.131293i | ||||
\(265\) | −29.2278 | + | 29.2278i | −1.79545 | + | 1.79545i | ||||
\(266\) | −3.48524 | − | 9.07935i | −0.213694 | − | 0.556691i | ||||
\(267\) | 8.91689 | − | 0.467315i | 0.545705 | − | 0.0285992i | ||||
\(268\) | 1.81063 | − | 0.922564i | 0.110602 | − | 0.0563546i | ||||
\(269\) | 1.28303 | − | 12.2072i | 0.0782277 | − | 0.744287i | −0.883157 | − | 0.469078i | \(-0.844586\pi\) |
0.961384 | − | 0.275209i | \(-0.0887471\pi\) | |||||||
\(270\) | −3.87396 | + | 1.72480i | −0.235761 | + | 0.104968i | ||||
\(271\) | −15.4681 | − | 0.810650i | −0.939622 | − | 0.0492435i | −0.423628 | − | 0.905836i | \(-0.639244\pi\) |
−0.515993 | + | 0.856593i | \(0.672577\pi\) | |||||||
\(272\) | 4.69630 | + | 14.4537i | 0.284755 | + | 0.876385i | ||||
\(273\) | −3.33358 | + | 0.570212i | −0.201758 | + | 0.0345108i | ||||
\(274\) | 18.2359i | 1.10167i | ||||||||
\(275\) | 6.48064 | − | 17.2349i | 0.390797 | − | 1.03930i | ||||
\(276\) | −0.607894 | + | 1.05290i | −0.0365909 | + | 0.0633773i | ||||
\(277\) | −0.0473616 | − | 0.0210868i | −0.00284568 | − | 0.00126698i | 0.405313 | − | 0.914178i | \(-0.367162\pi\) |
−0.408159 | + | 0.912911i | \(0.633829\pi\) | |||||||
\(278\) | −4.28119 | − | 2.18138i | −0.256769 | − | 0.130830i | ||||
\(279\) | 3.86046 | − | 5.94458i | 0.231120 | − | 0.355893i | ||||
\(280\) | −7.09675 | + | 5.74684i | −0.424112 | + | 0.343439i | ||||
\(281\) | −19.1604 | + | 3.03471i | −1.14301 | + | 0.181036i | −0.699093 | − | 0.715031i | \(-0.746413\pi\) |
−0.443920 | + | 0.896066i | \(0.646413\pi\) | |||||||
\(282\) | 0.705773 | + | 3.32040i | 0.0420281 | + | 0.197727i | ||||
\(283\) | −15.0664 | − | 3.20247i | −0.895607 | − | 0.190367i | −0.262960 | − | 0.964807i | \(-0.584699\pi\) |
−0.632648 | + | 0.774440i | \(0.718032\pi\) | |||||||
\(284\) | 1.18458 | − | 1.46284i | 0.0702921 | − | 0.0868035i | ||||
\(285\) | 25.7989 | 1.52819 | ||||||||
\(286\) | 6.07478 | − | 14.3805i | 0.359209 | − | 0.850340i | ||||
\(287\) | 10.5669 | 0.623745 | ||||||||
\(288\) | 1.04388 | − | 1.28908i | 0.0615110 | − | 0.0759597i | ||||
\(289\) | −3.85603 | − | 0.819625i | −0.226826 | − | 0.0482133i | ||||
\(290\) | −3.19505 | − | 15.0315i | −0.187620 | − | 0.882682i | ||||
\(291\) | −4.77357 | + | 0.756059i | −0.279832 | + | 0.0443210i | ||||
\(292\) | 1.73167 | − | 1.40228i | 0.101338 | − | 0.0820621i | ||||
\(293\) | 2.39888 | − | 3.69395i | 0.140144 | − | 0.215803i | −0.761628 | − | 0.648014i | \(-0.775600\pi\) |
0.901772 | + | 0.432211i | \(0.142266\pi\) | |||||||
\(294\) | 7.11879 | + | 3.62720i | 0.415176 | + | 0.211543i | ||||
\(295\) | 13.7412 | + | 6.11797i | 0.800043 | + | 0.356202i | ||||
\(296\) | 0.205031 | − | 0.355124i | 0.0119172 | − | 0.0206412i | ||||
\(297\) | −3.19765 | + | 0.880347i | −0.185547 | + | 0.0510829i | ||||
\(298\) | 3.58082i | 0.207431i | ||||||||
\(299\) | 6.19446 | + | 13.4637i | 0.358235 | + | 0.778624i | ||||
\(300\) | −0.507438 | − | 1.56173i | −0.0292970 | − | 0.0901667i | ||||
\(301\) | −2.47209 | − | 0.129557i | −0.142489 | − | 0.00746754i | ||||
\(302\) | 4.53961 | − | 2.02116i | 0.261225 | − | 0.116305i | ||||
\(303\) | 1.10451 | − | 10.5087i | 0.0634522 | − | 0.603707i | ||||
\(304\) | 23.5007 | − | 11.9742i | 1.34786 | − | 0.686769i | ||||
\(305\) | 32.4917 | − | 1.70282i | 1.86047 | − | 0.0975030i | ||||
\(306\) | −2.14093 | − | 5.57732i | −0.122389 | − | 0.318834i | ||||
\(307\) | 1.65178 | − | 1.65178i | 0.0942720 | − | 0.0942720i | −0.658398 | − | 0.752670i | \(-0.728766\pi\) |
0.752670 | + | 0.658398i | \(0.228766\pi\) | |||||||
\(308\) | −0.793722 | + | 0.465540i | −0.0452265 | + | 0.0265266i | ||||
\(309\) | 5.03883 | + | 2.90917i | 0.286649 | + | 0.165497i | ||||
\(310\) | −23.3592 | − | 18.9159i | −1.32671 | − | 1.07435i | ||||
\(311\) | −13.3901 | + | 4.35069i | −0.759281 | + | 0.246705i | −0.662970 | − | 0.748646i | \(-0.730704\pi\) |
−0.0963108 | + | 0.995351i | \(0.530704\pi\) | |||||||
\(312\) | −2.92530 | − | 10.4025i | −0.165612 | − | 0.588926i | ||||
\(313\) | 2.83319 | + | 2.05843i | 0.160141 | + | 0.116349i | 0.664970 | − | 0.746870i | \(-0.268444\pi\) |
−0.504829 | + | 0.863220i | \(0.668444\pi\) | |||||||
\(314\) | 26.5490 | + | 10.1912i | 1.49824 | + | 0.575122i | ||||
\(315\) | 2.26432 | − | 2.03880i | 0.127580 | − | 0.114873i | ||||
\(316\) | 1.59658 | − | 1.77318i | 0.0898144 | − | 0.0997490i | ||||
\(317\) | 3.61383 | − | 22.8168i | 0.202973 | − | 1.28152i | −0.650147 | − | 0.759808i | \(-0.725293\pi\) |
0.853121 | − | 0.521714i | \(-0.174707\pi\) | |||||||
\(318\) | 4.29940 | − | 16.0456i | 0.241098 | − | 0.899792i | ||||
\(319\) | −0.711296 | − | 11.9980i | −0.0398249 | − | 0.671759i | ||||
\(320\) | −20.2297 | − | 20.2297i | −1.13088 | − | 1.13088i | ||||
\(321\) | 1.97825 | − | 4.44323i | 0.110415 | − | 0.247997i | ||||
\(322\) | −1.04648 | + | 4.92328i | −0.0583178 | + | 0.274364i | ||||
\(323\) | −1.90217 | + | 36.2956i | −0.105840 | + | 2.01954i | ||||
\(324\) | −0.173856 | + | 0.239293i | −0.00965869 | + | 0.0132940i | ||||
\(325\) | −19.1122 | − | 5.95038i | −1.06015 | − | 0.330068i | ||||
\(326\) | 3.38169 | + | 1.09878i | 0.187294 | + | 0.0608556i | ||||
\(327\) | 10.0553 | + | 15.4838i | 0.556058 | + | 0.856254i | ||||
\(328\) | 3.52918 | + | 33.5779i | 0.194866 | + | 1.85403i | ||||
\(329\) | −1.21954 | − | 2.11230i | −0.0672353 | − | 0.116455i | ||||
\(330\) | 2.29533 | + | 13.8758i | 0.126354 | + | 0.763839i | ||||
\(331\) | 0.0443992 | + | 0.0118967i | 0.00244040 | + | 0.000653903i | 0.260039 | − | 0.965598i | \(-0.416265\pi\) |
−0.257599 | + | 0.966252i | \(0.582931\pi\) | |||||||
\(332\) | −2.53274 | + | 0.972226i | −0.139002 | + | 0.0533579i | ||||
\(333\) | −0.0621160 | + | 0.121909i | −0.00340393 | + | 0.00668060i | ||||
\(334\) | −9.81423 | + | 2.08608i | −0.537011 | + | 0.114145i | ||||
\(335\) | 9.07722 | + | 20.3878i | 0.495941 | + | 1.11390i | ||||
\(336\) | 1.11633 | − | 2.90814i | 0.0609009 | − | 0.158652i | ||||
\(337\) | 5.28903 | − | 16.2779i | 0.288112 | − | 0.886716i | −0.697337 | − | 0.716743i | \(-0.745632\pi\) |
0.985449 | − | 0.169973i | \(-0.0543681\pi\) | |||||||
\(338\) | −15.9889 | − | 5.68927i | −0.869682 | − | 0.309456i | ||||
\(339\) | −11.0615 | + | 8.03664i | −0.600777 | + | 0.436490i | ||||
\(340\) | 4.24706 | − | 1.13800i | 0.230329 | − | 0.0617166i | ||||
\(341\) | −15.8497 | − | 17.3620i | −0.858310 | − | 0.940207i | ||||
\(342\) | −8.97908 | + | 5.18407i | −0.485533 | + | 0.280323i | ||||
\(343\) | −12.1552 | − | 1.92519i | −0.656317 | − | 0.103950i | ||||
\(344\) | −0.413954 | − | 7.89871i | −0.0223189 | − | 0.425870i | ||||
\(345\) | −11.1980 | − | 7.27204i | −0.602878 | − | 0.391513i | ||||
\(346\) | 1.19678 | + | 7.55619i | 0.0643394 | + | 0.406223i | ||||
\(347\) | −19.5991 | − | 2.05995i | −1.05213 | − | 0.110584i | −0.437360 | − | 0.899286i | \(-0.644086\pi\) |
−0.614775 | + | 0.788703i | \(0.710753\pi\) | |||||||
\(348\) | −0.717228 | − | 0.796563i | −0.0384475 | − | 0.0427002i | ||||
\(349\) | −10.3652 | + | 6.73123i | −0.554836 | + | 0.360315i | −0.791397 | − | 0.611302i | \(-0.790646\pi\) |
0.236562 | + | 0.971616i | \(0.423979\pi\) | |||||||
\(350\) | −3.99587 | − | 5.49985i | −0.213588 | − | 0.293979i | ||||
\(351\) | 1.15638 | + | 3.41508i | 0.0617228 | + | 0.182284i | ||||
\(352\) | −3.26408 | − | 4.42845i | −0.173976 | − | 0.236037i | ||||
\(353\) | −9.12189 | − | 34.0434i | −0.485509 | − | 1.81195i | −0.577757 | − | 0.816209i | \(-0.696072\pi\) |
0.0922475 | − | 0.995736i | \(-0.470595\pi\) | |||||||
\(354\) | −6.01187 | + | 0.631873i | −0.319527 | + | 0.0335836i | ||||
\(355\) | 15.3623 | + | 13.8323i | 0.815348 | + | 0.734143i | ||||
\(356\) | −1.19902 | − | 2.35322i | −0.0635482 | − | 0.124720i | ||||
\(357\) | 2.70137 | + | 3.33592i | 0.142972 | + | 0.176556i | ||||
\(358\) | 8.59374 | + | 10.6124i | 0.454193 | + | 0.560882i | ||||
\(359\) | −15.4011 | − | 30.2265i | −0.812842 | − | 1.59529i | −0.803477 | − | 0.595335i | \(-0.797019\pi\) |
−0.00936411 | − | 0.999956i | \(-0.502981\pi\) | |||||||
\(360\) | 7.23483 | + | 6.51427i | 0.381309 | + | 0.343332i | ||||
\(361\) | 43.8364 | − | 4.60740i | 2.30718 | − | 0.242495i | ||||
\(362\) | −0.352211 | − | 1.31447i | −0.0185118 | − | 0.0690869i | ||||
\(363\) | 0.150814 | + | 10.9990i | 0.00791566 | + | 0.577296i | ||||
\(364\) | 0.555126 | + | 0.832170i | 0.0290965 | + | 0.0436176i | ||||
\(365\) | 14.3837 | + | 19.7975i | 0.752877 | + | 1.03625i | ||||
\(366\) | −10.9663 | + | 7.12159i | −0.573217 | + | 0.372252i | ||||
\(367\) | 1.55255 | + | 1.72428i | 0.0810425 | + | 0.0900068i | 0.782302 | − | 0.622899i | \(-0.214045\pi\) |
−0.701260 | + | 0.712906i | \(0.747379\pi\) | |||||||
\(368\) | −13.5757 | − | 1.42686i | −0.707682 | − | 0.0743804i | ||||
\(369\) | −1.76229 | − | 11.1267i | −0.0917414 | − | 0.579232i | ||||
\(370\) | 0.486600 | + | 0.316002i | 0.0252971 | + | 0.0164282i | ||||
\(371\) | 0.624671 | + | 11.9194i | 0.0324313 | + | 0.618826i | ||||
\(372\) | −2.07072 | − | 0.327970i | −0.107362 | − | 0.0170045i | ||||
\(373\) | −5.44202 | + | 3.14195i | −0.281777 | + | 0.162684i | −0.634228 | − | 0.773146i | \(-0.718682\pi\) |
0.352451 | + | 0.935830i | \(0.385348\pi\) | |||||||
\(374\) | −19.6907 | + | 2.20615i | −1.01818 | + | 0.114077i | ||||
\(375\) | 1.73115 | − | 0.463860i | 0.0893962 | − | 0.0239536i | ||||
\(376\) | 6.30484 | − | 4.58074i | 0.325147 | − | 0.236233i | ||||
\(377\) | −12.9767 | + | 1.52592i | −0.668334 | + | 0.0785887i | ||||
\(378\) | −0.378396 | + | 1.16458i | −0.0194626 | + | 0.0598997i | ||||
\(379\) | −7.52558 | + | 19.6048i | −0.386563 | + | 1.00703i | 0.592876 | + | 0.805293i | \(0.297992\pi\) |
−0.979440 | + | 0.201738i | \(0.935341\pi\) | |||||||
\(380\) | −3.10374 | − | 6.97112i | −0.159219 | − | 0.357611i | ||||
\(381\) | 15.3228 | − | 3.25695i | 0.785008 | − | 0.166859i | ||||
\(382\) | −12.3930 | + | 24.3227i | −0.634083 | + | 1.24446i | ||||
\(383\) | −26.1587 | + | 10.0414i | −1.33665 | + | 0.513091i | −0.918548 | − | 0.395310i | \(-0.870637\pi\) |
−0.418100 | + | 0.908401i | \(0.637304\pi\) | |||||||
\(384\) | 7.90136 | + | 2.11716i | 0.403214 | + | 0.108041i | ||||
\(385\) | −4.64944 | − | 8.97245i | −0.236958 | − | 0.457279i | ||||
\(386\) | −3.90754 | − | 6.76805i | −0.198888 | − | 0.344485i | ||||
\(387\) | 0.275863 | + | 2.62466i | 0.0140229 | + | 0.133419i | ||||
\(388\) | 0.778582 | + | 1.19891i | 0.0395265 | + | 0.0608655i | ||||
\(389\) | 20.8131 | + | 6.76259i | 1.05527 | + | 0.342877i | 0.784733 | − | 0.619834i | \(-0.212800\pi\) |
0.270534 | + | 0.962711i | \(0.412800\pi\) | |||||||
\(390\) | 14.9151 | − | 3.36307i | 0.755258 | − | 0.170295i | ||||
\(391\) | 11.0564 | − | 15.2179i | 0.559148 | − | 0.769601i | ||||
\(392\) | 0.959967 | − | 18.3173i | 0.0484856 | − | 0.925161i | ||||
\(393\) | 1.84615 | − | 8.68546i | 0.0931260 | − | 0.438123i | ||||
\(394\) | −10.5417 | + | 23.6771i | −0.531084 | + | 1.19283i | ||||
\(395\) | 18.5291 | + | 18.5291i | 0.932298 | + | 0.932298i | ||||
\(396\) | 0.622574 | + | 0.758129i | 0.0312855 | + | 0.0380974i | ||||
\(397\) | −0.131843 | + | 0.492044i | −0.00661700 | + | 0.0246950i | −0.969155 | − | 0.246450i | \(-0.920736\pi\) |
0.962538 | + | 0.271145i | \(0.0874024\pi\) | |||||||
\(398\) | −1.08035 | + | 6.82104i | −0.0541529 | + | 0.341908i | ||||
\(399\) | 4.98484 | − | 5.53623i | 0.249554 | − | 0.277158i | ||||
\(400\) | 13.7014 | − | 12.3368i | 0.685069 | − | 0.616839i | ||||
\(401\) | 20.3281 | + | 7.80324i | 1.01514 | + | 0.389675i | 0.808345 | − | 0.588709i | \(-0.200364\pi\) |
0.206794 | + | 0.978385i | \(0.433697\pi\) | |||||||
\(402\) | −7.25601 | − | 5.27180i | −0.361897 | − | 0.262933i | ||||
\(403\) | −17.8470 | + | 18.2927i | −0.889021 | + | 0.911222i | ||||
\(404\) | −2.97243 | + | 0.965801i | −0.147884 | + | 0.0480504i | ||||
\(405\) | −2.52444 | − | 2.04425i | −0.125440 | − | 0.101580i | ||||
\(406\) | −3.84299 | − | 2.21875i | −0.190724 | − | 0.110115i | ||||
\(407\) | 0.339304 | + | 0.301324i | 0.0168187 | + | 0.0149361i | ||||
\(408\) | −9.69816 | + | 9.69816i | −0.480130 | + | 0.480130i | ||||
\(409\) | 7.28374 | + | 18.9748i | 0.360158 | + | 0.938243i | 0.987233 | + | 0.159284i | \(0.0509186\pi\) |
−0.627075 | + | 0.778959i | \(0.715748\pi\) | |||||||
\(410\) | −47.7062 | + | 2.50018i | −2.35604 | + | 0.123475i | ||||
\(411\) | −12.4464 | + | 6.34177i | −0.613937 | + | 0.312816i | ||||
\(412\) | 0.179890 | − | 1.71154i | 0.00886253 | − | 0.0843213i | ||||
\(413\) | 3.96793 | − | 1.76664i | 0.195249 | − | 0.0869306i | ||||
\(414\) | 5.35861 | + | 0.280833i | 0.263362 | + | 0.0138022i | ||||
\(415\) | −9.20684 | − | 28.3357i | −0.451946 | − | 1.39095i | ||||
\(416\) | −4.60107 | + | 3.82077i | −0.225586 | + | 0.187329i | ||||
\(417\) | − | 3.68062i | − | 0.180241i | ||||||
\(418\) | 9.12757 | + | 33.1537i | 0.446444 | + | 1.62160i | ||||
\(419\) | −15.7188 | + | 27.2257i | −0.767912 | + | 1.33006i | 0.170781 | + | 0.985309i | \(0.445371\pi\) |
−0.938693 | + | 0.344754i | \(0.887962\pi\) | |||||||
\(420\) | −0.823315 | − | 0.366564i | −0.0401737 | − | 0.0178865i | ||||
\(421\) | 21.6375 | + | 11.0249i | 1.05455 | + | 0.537319i | 0.893238 | − | 0.449584i | \(-0.148428\pi\) |
0.161311 | + | 0.986904i | \(0.448428\pi\) | |||||||
\(422\) | −16.1035 | + | 24.7972i | −0.783905 | + | 1.20711i | ||||
\(423\) | −2.02081 | + | 1.63642i | −0.0982552 | + | 0.0795655i | ||||
\(424\) | −37.6671 | + | 5.96589i | −1.82928 | + | 0.289729i | ||||
\(425\) | 5.28224 | + | 24.8510i | 0.256226 | + | 1.20545i | ||||
\(426\) | −8.12622 | − | 1.72728i | −0.393717 | − | 0.0836871i | ||||
\(427\) | 5.91262 | − | 7.30147i | 0.286132 | − | 0.353343i | ||||
\(428\) | −1.43860 | −0.0695375 | ||||||||
\(429\) | 11.9277 | − | 0.854847i | 0.575873 | − | 0.0412724i | ||||
\(430\) | 11.1914 | 0.539695 | ||||||||
\(431\) | −15.6142 | + | 19.2819i | −0.752107 | + | 0.928775i | −0.999191 | − | 0.0402191i | \(-0.987194\pi\) |
0.247084 | + | 0.968994i | \(0.420528\pi\) | |||||||
\(432\) | −3.24838 | − | 0.690464i | −0.156288 | − | 0.0332200i | ||||
\(433\) | −5.81220 | − | 27.3442i | −0.279316 | − | 1.31408i | −0.864276 | − | 0.503018i | \(-0.832223\pi\) |
0.584960 | − | 0.811062i | \(-0.301110\pi\) | |||||||
\(434\) | −8.57264 | + | 1.35777i | −0.411500 | + | 0.0651752i | ||||
\(435\) | 9.14827 | − | 7.40812i | 0.438626 | − | 0.355192i | ||||
\(436\) | 2.97417 | − | 4.57982i | 0.142437 | − | 0.219334i | ||||
\(437\) | −29.0874 | − | 14.8208i | −1.39144 | − | 0.708974i | ||||
\(438\) | −8.98427 | − | 4.00005i | −0.429285 | − | 0.191130i | ||||
\(439\) | −5.07514 | + | 8.79040i | −0.242223 | + | 0.419543i | −0.961347 | − | 0.275339i | \(-0.911210\pi\) |
0.719124 | + | 0.694882i | \(0.244543\pi\) | |||||||
\(440\) | 26.9584 | − | 17.7710i | 1.28519 | − | 0.847197i | ||||
\(441\) | 6.12016i | 0.291436i | ||||||||
\(442\) | 3.63169 | + | 21.2316i | 0.172742 | + | 1.00988i | ||||
\(443\) | −0.994117 | − | 3.05958i | −0.0472319 | − | 0.145365i | 0.924659 | − | 0.380796i | \(-0.124350\pi\) |
−0.971891 | + | 0.235431i | \(0.924350\pi\) | |||||||
\(444\) | 0.0404141 | + | 0.00211801i | 0.00191797 | + | 0.000100517i | ||||
\(445\) | 26.4973 | − | 11.7973i | 1.25609 | − | 0.559248i | ||||
\(446\) | −0.702359 | + | 6.68250i | −0.0332577 | + | 0.316426i | ||||
\(447\) | −2.44400 | + | 1.24528i | −0.115597 | + | 0.0588996i | ||||
\(448\) | −8.24991 | + | 0.432360i | −0.389772 | + | 0.0204271i | ||||
\(449\) | 1.57388 | + | 4.10011i | 0.0742761 | + | 0.193496i | 0.965692 | − | 0.259690i | \(-0.0836205\pi\) |
−0.891416 | + | 0.453186i | \(0.850287\pi\) | |||||||
\(450\) | −5.12479 | + | 5.12479i | −0.241585 | + | 0.241585i | ||||
\(451\) | −37.1843 | − | 3.65068i | −1.75094 | − | 0.171904i | ||||
\(452\) | 3.50234 | + | 2.02208i | 0.164736 | + | 0.0951105i | ||||
\(453\) | 2.95820 | + | 2.39551i | 0.138989 | + | 0.112551i | ||||
\(454\) | −17.1483 | + | 5.57181i | −0.804808 | + | 0.261498i | ||||
\(455\) | −9.44561 | + | 5.60985i | −0.442817 | + | 0.262994i | ||||
\(456\) | 19.2570 | + | 13.9911i | 0.901793 | + | 0.655191i | ||||
\(457\) | −21.8752 | − | 8.39711i | −1.02328 | − | 0.392800i | −0.211882 | − | 0.977295i | \(-0.567959\pi\) |
−0.811397 | + | 0.584495i | \(0.801293\pi\) | |||||||
\(458\) | −21.0676 | + | 18.9693i | −0.984424 | + | 0.886379i | ||||
\(459\) | 3.06212 | − | 3.40083i | 0.142927 | − | 0.158737i | ||||
\(460\) | −0.617806 | + | 3.90067i | −0.0288053 | + | 0.181870i | ||||
\(461\) | −7.72323 | + | 28.8235i | −0.359707 | + | 1.34244i | 0.514750 | + | 0.857340i | \(0.327885\pi\) |
−0.874457 | + | 0.485103i | \(0.838782\pi\) | |||||||
\(462\) | 3.42114 | + | 2.18852i | 0.159166 | + | 0.101819i | ||||
\(463\) | −1.02152 | − | 1.02152i | −0.0474739 | − | 0.0474739i | 0.682971 | − | 0.730445i | \(-0.260687\pi\) |
−0.730445 | + | 0.682971i | \(0.760687\pi\) | |||||||
\(464\) | 4.89497 | − | 10.9943i | 0.227243 | − | 0.510396i | ||||
\(465\) | 4.78708 | − | 22.5215i | 0.221996 | − | 1.04441i | ||||
\(466\) | 0.954392 | − | 18.2109i | 0.0442114 | − | 0.843603i | ||||
\(467\) | 16.0372 | − | 22.0734i | 0.742115 | − | 1.02143i | −0.256379 | − | 0.966576i | \(-0.582530\pi\) |
0.998494 | − | 0.0548576i | \(-0.0174705\pi\) | |||||||
\(468\) | 0.783673 | − | 0.723319i | 0.0362253 | − | 0.0334354i | ||||
\(469\) | 6.12895 | + | 1.99142i | 0.283008 | + | 0.0919550i | ||||
\(470\) | 6.00560 | + | 9.24782i | 0.277018 | + | 0.426570i | ||||
\(471\) | 2.27703 | + | 21.6645i | 0.104920 | + | 0.998245i | ||||
\(472\) | 6.93898 | + | 12.0187i | 0.319392 | + | 0.553204i | ||||
\(473\) | 8.65438 | + | 1.30997i | 0.397929 | + | 0.0602323i | ||||
\(474\) | −10.1722 | − | 2.72562i | −0.467222 | − | 0.125192i | ||||
\(475\) | 41.1641 | − | 15.8014i | 1.88874 | − | 0.725019i | ||||
\(476\) | 0.576410 | − | 1.13127i | 0.0264197 | − | 0.0518516i | ||||
\(477\) | 12.4467 | − | 2.64562i | 0.569894 | − | 0.121135i | ||||
\(478\) | −8.45618 | − | 18.9929i | −0.386777 | − | 0.868714i | ||||
\(479\) | 7.15129 | − | 18.6297i | 0.326751 | − | 0.851215i | −0.667546 | − | 0.744568i | \(-0.732655\pi\) |
0.994297 | − | 0.106646i | \(-0.0340113\pi\) | |||||||
\(480\) | 1.66503 | − | 5.12443i | 0.0759977 | − | 0.233897i | ||||
\(481\) | 0.305705 | − | 0.387180i | 0.0139389 | − | 0.0176539i | ||||
\(482\) | 26.1107 | − | 18.9705i | 1.18931 | − | 0.864084i | ||||
\(483\) | −3.72419 | + | 0.997893i | −0.169456 | + | 0.0454057i | ||||
\(484\) | 2.95389 | − | 1.36399i | 0.134268 | − | 0.0619994i | ||||
\(485\) | −13.5961 | + | 7.84974i | −0.617369 | + | 0.356438i | ||||
\(486\) | 1.28938 | + | 0.204218i | 0.0584877 | + | 0.00926354i | ||||
\(487\) | 1.49549 | + | 28.5356i | 0.0677670 | + | 1.29307i | 0.794970 | + | 0.606649i | \(0.207487\pi\) |
−0.727203 | + | 0.686423i | \(0.759180\pi\) | |||||||
\(488\) | 25.1762 | + | 16.3496i | 1.13967 | + | 0.740113i | ||||
\(489\) | 0.426086 | + | 2.69020i | 0.0192683 | + | 0.121655i | ||||
\(490\) | 25.8108 | + | 2.71282i | 1.16601 | + | 0.122553i | ||||
\(491\) | −3.27950 | − | 3.64225i | −0.148002 | − | 0.164372i | 0.664585 | − | 0.747212i | \(-0.268608\pi\) |
−0.812587 | + | 0.582840i | \(0.801941\pi\) | |||||||
\(492\) | −2.79453 | + | 1.81479i | −0.125987 | + | 0.0818171i | ||||
\(493\) | 9.74774 | + | 13.4166i | 0.439016 | + | 0.604254i | ||||
\(494\) | 35.4081 | − | 11.9895i | 1.59309 | − | 0.539433i | ||||
\(495\) | −8.67236 | + | 6.39213i | −0.389793 | + | 0.287305i | ||||
\(496\) | −6.09240 | − | 22.7371i | −0.273557 | − | 1.02093i | ||||
\(497\) | 5.93660 | − | 0.623962i | 0.266293 | − | 0.0279885i | ||||
\(498\) | 8.89820 | + | 8.01197i | 0.398738 | + | 0.359025i | ||||
\(499\) | −0.496099 | − | 0.973650i | −0.0222085 | − | 0.0435865i | 0.879636 | − | 0.475648i | \(-0.157786\pi\) |
−0.901844 | + | 0.432061i | \(0.857786\pi\) | |||||||
\(500\) | −0.333607 | − | 0.411970i | −0.0149194 | − | 0.0184239i | ||||
\(501\) | −4.83683 | − | 5.97299i | −0.216094 | − | 0.266854i | ||||
\(502\) | −2.95933 | − | 5.80800i | −0.132081 | − | 0.259224i | ||||
\(503\) | 9.42822 | + | 8.48921i | 0.420384 | + | 0.378515i | 0.852000 | − | 0.523542i | \(-0.175390\pi\) |
−0.431616 | + | 0.902057i | \(0.642056\pi\) | |||||||
\(504\) | 2.79582 | − | 0.293853i | 0.124536 | − | 0.0130892i | ||||
\(505\) | −8.88365 | − | 33.1542i | −0.395317 | − | 1.47534i | ||||
\(506\) | 5.38338 | − | 16.9632i | 0.239321 | − | 0.754105i | ||||
\(507\) | −1.67729 | − | 12.8913i | −0.0744912 | − | 0.572525i | ||||
\(508\) | −2.72347 | − | 3.74854i | −0.120835 | − | 0.166315i | ||||
\(509\) | −20.2920 | + | 13.1778i | −0.899427 | + | 0.584094i | −0.909431 | − | 0.415855i | \(-0.863482\pi\) |
0.0100041 | + | 0.999950i | \(0.496816\pi\) | |||||||
\(510\) | −12.9851 | − | 14.4214i | −0.574991 | − | 0.638592i | ||||
\(511\) | 7.02759 | + | 0.738629i | 0.310882 | + | 0.0326750i | ||||
\(512\) | −3.97572 | − | 25.1017i | −0.175704 | − | 1.10935i | ||||
\(513\) | −6.66086 | − | 4.32561i | −0.294084 | − | 0.190980i | ||||
\(514\) | −0.394657 | − | 7.53050i | −0.0174076 | − | 0.332156i | ||||
\(515\) | 18.6673 | + | 2.95661i | 0.822579 | + | 0.130284i | ||||
\(516\) | 0.676023 | − | 0.390302i | 0.0297602 | − | 0.0171821i | ||||
\(517\) | 3.56171 | + | 7.85438i | 0.156644 | + | 0.345435i | ||||
\(518\) | 0.161832 | − | 0.0433628i | 0.00711050 | − | 0.00190525i | ||||
\(519\) | −4.74109 | + | 3.44460i | −0.208111 | + | 0.151201i | ||||
\(520\) | −20.9808 | − | 28.1412i | −0.920070 | − | 1.23407i | ||||
\(521\) | 1.30559 | − | 4.01818i | 0.0571988 | − | 0.176040i | −0.918375 | − | 0.395711i | \(-0.870498\pi\) |
0.975574 | + | 0.219671i | \(0.0704983\pi\) | |||||||
\(522\) | −1.69538 | + | 4.41661i | −0.0742046 | + | 0.193310i | ||||
\(523\) | 4.38964 | + | 9.85929i | 0.191945 | + | 0.431117i | 0.983723 | − | 0.179693i | \(-0.0575106\pi\) |
−0.791777 | + | 0.610810i | \(0.790844\pi\) | |||||||
\(524\) | −2.56900 | + | 0.546059i | −0.112227 | + | 0.0238547i | ||||
\(525\) | 2.36416 | − | 4.63993i | 0.103181 | − | 0.202503i | ||||
\(526\) | 9.75484 | − | 3.74453i | 0.425331 | − | 0.163269i | ||||
\(527\) | 31.3318 | + | 8.39532i | 1.36483 | + | 0.365706i | ||||
\(528\) | −4.93301 | + | 9.84790i | −0.214682 | + | 0.428575i | ||||
\(529\) | −3.05225 | − | 5.28665i | −0.132706 | − | 0.229854i | ||||
\(530\) | −5.64038 | − | 53.6646i | −0.245002 | − | 2.33104i | ||||
\(531\) | −2.52198 | − | 3.88350i | −0.109444 | − | 0.168530i | ||||
\(532\) | −2.09565 | − | 0.680918i | −0.0908580 | − | 0.0295216i | ||||
\(533\) | −1.62543 | + | 40.5854i | −0.0704051 | + | 1.75795i | ||||
\(534\) | −6.85157 | + | 9.43038i | −0.296497 | + | 0.408093i | ||||
\(535\) | 0.826858 | − | 15.7774i | 0.0357482 | − | 0.682116i | ||||
\(536\) | −4.28104 | + | 20.1407i | −0.184913 | + | 0.869947i | ||||
\(537\) | −4.25463 | + | 9.55605i | −0.183601 | + | 0.412374i | ||||
\(538\) | 11.3305 | + | 11.3305i | 0.488493 | + | 0.488493i | ||||
\(539\) | 19.6422 | + | 5.11905i | 0.846049 | + | 0.220493i | ||||
\(540\) | −0.248674 | + | 0.928064i | −0.0107012 | + | 0.0399375i | ||||
\(541\) | 2.11984 | − | 13.3842i | 0.0911391 | − | 0.575430i | −0.899284 | − | 0.437365i | \(-0.855912\pi\) |
0.990423 | − | 0.138065i | \(-0.0440882\pi\) | |||||||
\(542\) | 13.5303 | − | 15.0269i | 0.581175 | − | 0.645460i | ||||
\(543\) | 0.774671 | − | 0.697517i | 0.0332443 | − | 0.0299333i | ||||
\(544\) | 7.08663 | + | 2.72030i | 0.303837 | + | 0.116632i | ||||
\(545\) | 48.5182 | + | 35.2505i | 2.07829 | + | 1.50997i | ||||
\(546\) | 2.16021 | − | 3.85048i | 0.0924485 | − | 0.164785i | ||||
\(547\) | −7.08295 | + | 2.30139i | −0.302845 | + | 0.0984004i | −0.456498 | − | 0.889725i | \(-0.650896\pi\) |
0.153653 | + | 0.988125i | \(0.450896\pi\) | |||||||
\(548\) | 3.21098 | + | 2.60020i | 0.137166 | + | 0.111075i | ||||
\(549\) | −8.67434 | − | 5.00813i | −0.370212 | − | 0.213742i | ||||
\(550\) | 12.1611 | + | 20.7341i | 0.518552 | + | 0.884106i | ||||
\(551\) | 20.3516 | − | 20.3516i | 0.867006 | − | 0.867006i | ||||
\(552\) | −4.41477 | − | 11.5009i | −0.187905 | − | 0.489509i | ||||
\(553\) | 7.55636 | − | 0.396012i | 0.321329 | − | 0.0168402i | ||||
\(554\) | 0.0603031 | − | 0.0307260i | 0.00256203 | − | 0.00130542i | ||||
\(555\) | −0.0464572 | + | 0.442011i | −0.00197200 | + | 0.0187623i | ||||
\(556\) | −0.994543 | + | 0.442799i | −0.0421780 | + | 0.0187789i | ||||
\(557\) | 20.3455 | + | 1.06626i | 0.862066 | + | 0.0451789i | 0.478243 | − | 0.878228i | \(-0.341274\pi\) |
0.383823 | + | 0.923407i | \(0.374607\pi\) | |||||||
\(558\) | 2.85940 | + | 8.80033i | 0.121048 | + | 0.372548i | ||||
\(559\) | 0.877866 | − | 9.47489i | 0.0371298 | − | 0.400745i | ||||
\(560\) | − | 10.1187i | − | 0.427594i | ||||||
\(561\) | −8.35346 | − | 12.6722i | −0.352683 | − | 0.535019i | ||||
\(562\) | 12.6624 | − | 21.9320i | 0.534132 | − | 0.925144i | ||||
\(563\) | −13.7667 | − | 6.12933i | −0.580197 | − | 0.258321i | 0.0955855 | − | 0.995421i | \(-0.469528\pi\) |
−0.675783 | + | 0.737101i | \(0.736194\pi\) | |||||||
\(564\) | 0.685293 | + | 0.349174i | 0.0288560 | + | 0.0147029i | ||||
\(565\) | −24.1895 | + | 37.2485i | −1.01766 | + | 1.56706i | ||||
\(566\) | 15.6269 | − | 12.6544i | 0.656846 | − | 0.531903i | ||||
\(567\) | −0.926450 | + | 0.146735i | −0.0389072 | + | 0.00616230i | ||||
\(568\) | 3.96546 | + | 18.6560i | 0.166387 | + | 0.782790i | ||||
\(569\) | −12.9689 | − | 2.75662i | −0.543683 | − | 0.115563i | −0.0721202 | − | 0.997396i | \(-0.522977\pi\) |
−0.471563 | + | 0.881833i | \(0.656310\pi\) | |||||||
\(570\) | −21.1951 | + | 26.1737i | −0.887764 | + | 1.09630i | ||||
\(571\) | 35.8659 | 1.50094 | 0.750470 | − | 0.660905i | \(-0.229827\pi\) | ||||
0.750470 | + | 0.660905i | \(0.229827\pi\) | |||||||
\(572\) | −1.66595 | − | 3.12014i | −0.0696570 | − | 0.130460i | ||||
\(573\) | −20.9107 | −0.873557 | ||||||||
\(574\) | −8.68125 | + | 10.7205i | −0.362348 | + | 0.447463i | ||||
\(575\) | −22.3213 | − | 4.74453i | −0.930861 | − | 0.197861i | ||||
\(576\) | 1.83114 | + | 8.61484i | 0.0762976 | + | 0.358952i | ||||
\(577\) | −13.4409 | + | 2.12884i | −0.559554 | + | 0.0886246i | −0.429804 | − | 0.902922i | \(-0.641417\pi\) |
−0.129750 | + | 0.991547i | \(0.541417\pi\) | |||||||
\(578\) | 3.99946 | − | 3.23870i | 0.166356 | − | 0.134712i | ||||
\(579\) | 3.26046 | − | 5.02067i | 0.135500 | − | 0.208652i | ||||
\(580\) | −3.10234 | − | 1.58072i | −0.128818 | − | 0.0656359i | ||||
\(581\) | −7.85956 | − | 3.49930i | −0.326070 | − | 0.145176i | ||||
\(582\) | 3.15468 | − | 5.46407i | 0.130766 | − | 0.226493i | ||||
\(583\) | 1.91977 | − | 42.1595i | 0.0795089 | − | 1.74607i | ||||
\(584\) | 22.5779i | 0.934280i | ||||||||
\(585\) | 7.48232 | + | 9.01040i | 0.309356 | + | 0.372534i | ||||
\(586\) | 1.77683 | + | 5.46851i | 0.0734000 | + | 0.225902i | ||||
\(587\) | −7.86486 | − | 0.412180i | −0.324618 | − | 0.0170125i | −0.110669 | − | 0.993857i | \(-0.535299\pi\) |
−0.213949 | + | 0.976845i | \(0.568633\pi\) | |||||||
\(588\) | 1.65373 | − | 0.736289i | 0.0681987 | − | 0.0303640i | ||||
\(589\) | 5.88441 | − | 55.9865i | 0.242463 | − | 2.30688i | ||||
\(590\) | −17.4960 | + | 8.91463i | −0.720297 | + | 0.367010i | ||||
\(591\) | −19.8262 | + | 1.03905i | −0.815541 | + | 0.0427407i | ||||
\(592\) | 0.162835 | + | 0.424200i | 0.00669248 | + | 0.0174345i | ||||
\(593\) | −9.84114 | + | 9.84114i | −0.404127 | + | 0.404127i | −0.879685 | − | 0.475558i | \(-0.842246\pi\) |
0.475558 | + | 0.879685i | \(0.342246\pi\) | |||||||
\(594\) | 1.73390 | − | 3.96737i | 0.0711426 | − | 0.162783i | ||||
\(595\) | 12.0755 | + | 6.97180i | 0.495048 | + | 0.285816i | ||||
\(596\) | 0.630513 | + | 0.510580i | 0.0258268 | + | 0.0209142i | ||||
\(597\) | −5.03123 | + | 1.63475i | −0.205915 | + | 0.0669057i | ||||
\(598\) | −18.7484 | − | 4.77661i | −0.766677 | − | 0.195330i | ||||
\(599\) | −28.4328 | − | 20.6577i | −1.16173 | − | 0.844049i | −0.171738 | − | 0.985143i | \(-0.554938\pi\) |
−0.989996 | + | 0.141094i | \(0.954938\pi\) | |||||||
\(600\) | 15.5337 | + | 5.96281i | 0.634159 | + | 0.243431i | ||||
\(601\) | 22.2269 | − | 20.0132i | 0.906656 | − | 0.816357i | −0.0768853 | − | 0.997040i | \(-0.524498\pi\) |
0.983541 | + | 0.180683i | \(0.0578309\pi\) | |||||||
\(602\) | 2.16239 | − | 2.40158i | 0.0881324 | − | 0.0978810i | ||||
\(603\) | 1.07476 | − | 6.78574i | 0.0437675 | − | 0.276337i | ||||
\(604\) | 0.291403 | − | 1.08753i | 0.0118570 | − | 0.0442510i | ||||
\(605\) | 13.2613 | + | 33.1798i | 0.539148 | + | 1.34895i | ||||
\(606\) | 9.75396 | + | 9.75396i | 0.396227 | + | 0.396227i | ||||
\(607\) | 3.01827 | − | 6.77914i | 0.122508 | − | 0.275157i | −0.841873 | − | 0.539676i | \(-0.818547\pi\) |
0.964380 | + | 0.264519i | \(0.0852133\pi\) | |||||||
\(608\) | 2.73902 | − | 12.8861i | 0.111082 | − | 0.522599i | ||||
\(609\) | 0.177900 | − | 3.39454i | 0.00720888 | − | 0.137554i | ||||
\(610\) | −24.9660 | + | 34.3628i | −1.01084 | + | 1.39131i | ||||
\(611\) | 8.30052 | − | 4.35908i | 0.335803 | − | 0.176350i | ||||
\(612\) | −1.28733 | − | 0.418278i | −0.0520372 | − | 0.0169079i | ||||
\(613\) | 18.6770 | + | 28.7601i | 0.754358 | + | 1.16161i | 0.982187 | + | 0.187908i | \(0.0601708\pi\) |
−0.227828 | + | 0.973701i | \(0.573163\pi\) | |||||||
\(614\) | 0.318760 | + | 3.03280i | 0.0128641 | + | 0.122394i | ||||
\(615\) | −18.2969 | − | 31.6912i | −0.737803 | − | 1.27791i | ||||
\(616\) | 1.39539 | − | 9.21876i | 0.0562220 | − | 0.371434i | ||||
\(617\) | 8.81696 | + | 2.36250i | 0.354957 | + | 0.0951106i | 0.431891 | − | 0.901926i | \(-0.357846\pi\) |
−0.0769339 | + | 0.997036i | \(0.524513\pi\) | |||||||
\(618\) | −7.09110 | + | 2.72202i | −0.285246 | + | 0.109496i | ||||
\(619\) | −3.05127 | + | 5.98846i | −0.122641 | + | 0.240697i | −0.944162 | − | 0.329482i | \(-0.893126\pi\) |
0.821521 | + | 0.570178i | \(0.193126\pi\) | |||||||
\(620\) | −6.66145 | + | 1.41593i | −0.267530 | + | 0.0568653i | ||||
\(621\) | 1.67186 | + | 3.75505i | 0.0670893 | + | 0.150685i | ||||
\(622\) | 6.58670 | − | 17.1589i | 0.264103 | − | 0.688011i | ||||
\(623\) | 2.58817 | − | 7.96558i | 0.103693 | − | 0.319134i | ||||
\(624\) | 10.9979 | + | 4.73494i | 0.440268 | + | 0.189549i | ||||
\(625\) | −17.7473 | + | 12.8942i | −0.709894 | + | 0.515768i | ||||
\(626\) | −4.41595 | + | 1.18325i | −0.176497 | + | 0.0472921i | ||||
\(627\) | −19.4540 | + | 17.7595i | −0.776918 | + | 0.709245i | ||||
\(628\) | 5.58002 | − | 3.22163i | 0.222667 | − | 0.128557i | ||||
\(629\) | −0.618426 | − | 0.0979490i | −0.0246582 | − | 0.00390548i | ||||
\(630\) | 0.208174 | + | 3.97220i | 0.00829385 | + | 0.158256i | ||||
\(631\) | 27.1479 | + | 17.6300i | 1.08074 | + | 0.701840i | 0.956887 | − | 0.290461i | \(-0.0938085\pi\) |
0.123852 | + | 0.992301i | \(0.460475\pi\) | |||||||
\(632\) | 3.78209 | + | 23.8792i | 0.150444 | + | 0.949863i | ||||
\(633\) | −22.5249 | − | 2.36746i | −0.895284 | − | 0.0940982i | ||||
\(634\) | 20.1794 | + | 22.4115i | 0.801428 | + | 0.890076i | ||||
\(635\) | 42.6762 | − | 27.7142i | 1.69355 | − | 1.09981i | ||||
\(636\) | −2.21228 | − | 3.04494i | −0.0877226 | − | 0.120740i | ||||
\(637\) | 4.32138 | − | 21.6393i | 0.171219 | − | 0.857379i | ||||
\(638\) | 12.7567 | + | 9.13533i | 0.505043 | + | 0.361671i | ||||
\(639\) | −1.64709 | − | 6.14703i | −0.0651580 | − | 0.243173i | ||||
\(640\) | 26.4262 | − | 2.77750i | 1.04459 | − | 0.109790i | ||||
\(641\) | −21.0670 | − | 18.9688i | −0.832098 | − | 0.749224i | 0.138389 | − | 0.990378i | \(-0.455807\pi\) |
−0.970487 | + | 0.241154i | \(0.922474\pi\) | |||||||
\(642\) | 2.88256 | + | 5.65734i | 0.113765 | + | 0.223277i | ||||
\(643\) | −31.3087 | − | 38.6630i | −1.23469 | − | 1.52472i | −0.768221 | − | 0.640185i | \(-0.778858\pi\) |
−0.466474 | − | 0.884535i | \(-0.654476\pi\) | |||||||
\(644\) | 0.717681 | + | 0.886262i | 0.0282806 | + | 0.0349236i | ||||
\(645\) | 3.89195 | + | 7.63838i | 0.153245 | + | 0.300761i | ||||
\(646\) | −35.2603 | − | 31.7485i | −1.38730 | − | 1.24913i | ||||
\(647\) | 27.6891 | − | 2.91024i | 1.08857 | − | 0.114413i | 0.456800 | − | 0.889569i | \(-0.348995\pi\) |
0.631770 | + | 0.775156i | \(0.282329\pi\) | |||||||
\(648\) | −0.775692 | − | 2.89492i | −0.0304721 | − | 0.113723i | ||||
\(649\) | −14.5732 | + | 4.84584i | −0.572050 | + | 0.190216i | ||||
\(650\) | 21.7385 | − | 14.5014i | 0.852653 | − | 0.568790i | ||||
\(651\) | −3.90797 | − | 5.37885i | −0.153165 | − | 0.210814i | ||||
\(652\) | 0.675659 | − | 0.438778i | 0.0264609 | − | 0.0171839i | ||||
\(653\) | −30.9528 | − | 34.3765i | −1.21127 | − | 1.34526i | −0.921604 | − | 0.388131i | \(-0.873121\pi\) |
−0.289671 | − | 0.957126i | \(-0.593546\pi\) | |||||||
\(654\) | −23.9697 | − | 2.51931i | −0.937288 | − | 0.0985129i | ||||
\(655\) | −4.51214 | − | 28.4885i | −0.176304 | − | 1.11314i | ||||
\(656\) | −31.3761 | − | 20.3759i | −1.22503 | − | 0.795545i | ||||
\(657\) | −0.394267 | − | 7.52306i | −0.0153818 | − | 0.293502i | ||||
\(658\) | 3.14491 | + | 0.498104i | 0.122601 | + | 0.0194181i | ||||
\(659\) | 29.0178 | − | 16.7534i | 1.13037 | − | 0.652621i | 0.186344 | − | 0.982485i | \(-0.440336\pi\) |
0.944028 | + | 0.329864i | \(0.107003\pi\) | |||||||
\(660\) | 2.77055 | + | 1.57435i | 0.107844 | + | 0.0612817i | ||||
\(661\) | −37.4535 | + | 10.0356i | −1.45677 | + | 0.390341i | −0.898374 | − | 0.439232i | \(-0.855251\pi\) |
−0.558398 | + | 0.829573i | \(0.688584\pi\) | |||||||
\(662\) | −0.0485458 | + | 0.0352706i | −0.00188678 | + | 0.00137083i | ||||
\(663\) | −13.2281 | + | 9.86230i | −0.513738 | + | 0.383020i | ||||
\(664\) | 8.49458 | − | 26.1436i | 0.329654 | − | 1.01457i | ||||
\(665\) | 8.67225 | − | 22.5920i | 0.336295 | − | 0.876079i | ||||
\(666\) | −0.0726495 | − | 0.163173i | −0.00281511 | − | 0.00632284i | ||||
\(667\) | −14.5702 | + | 3.09698i | −0.564159 | + | 0.119916i | ||||
\(668\) | −1.03207 | + | 2.02555i | −0.0399319 | + | 0.0783708i | ||||
\(669\) | −4.80523 | + | 1.84455i | −0.185781 | + | 0.0713146i | ||||
\(670\) | −28.1414 | − | 7.54047i | −1.08720 | − | 0.291314i | ||||
\(671\) | −23.3286 | + | 23.6507i | −0.900592 | + | 0.913025i | ||||
\(672\) | −0.777945 | − | 1.34744i | −0.0300099 | − | 0.0519786i | ||||
\(673\) | 2.91680 | + | 27.7515i | 0.112434 | + | 1.06974i | 0.894661 | + | 0.446746i | \(0.147417\pi\) |
−0.782227 | + | 0.622994i | \(0.785916\pi\) | |||||||
\(674\) | 12.1693 | + | 18.7390i | 0.468743 | + | 0.721801i | ||||
\(675\) | −5.28001 | − | 1.71558i | −0.203228 | − | 0.0660327i | ||||
\(676\) | −3.28159 | + | 2.00412i | −0.126215 | + | 0.0770816i | ||||
\(677\) | 2.50459 | − | 3.44727i | 0.0962592 | − | 0.132489i | −0.758171 | − | 0.652056i | \(-0.773907\pi\) |
0.854430 | + | 0.519567i | \(0.173907\pi\) | |||||||
\(678\) | 0.934154 | − | 17.8247i | 0.0358760 | − | 0.684554i | ||||
\(679\) | −0.942550 | + | 4.43435i | −0.0361717 | + | 0.170175i | ||||
\(680\) | −18.1209 | + | 40.7002i | −0.694904 | + | 1.56078i | ||||
\(681\) | −9.76645 | − | 9.76645i | −0.374251 | − | 0.374251i | ||||
\(682\) | 30.6356 | − | 1.81622i | 1.17310 | − | 0.0695467i | ||||
\(683\) | −12.2003 | + | 45.5322i | −0.466832 | + | 1.74224i | 0.183910 | + | 0.982943i | \(0.441125\pi\) |
−0.650742 | + | 0.759299i | \(0.725542\pi\) | |||||||
\(684\) | −0.367488 | + | 2.32023i | −0.0140513 | + | 0.0887161i | ||||
\(685\) | −30.3624 | + | 33.7209i | −1.16009 | + | 1.28841i | ||||
\(686\) | 11.9393 | − | 10.7502i | 0.455843 | − | 0.410443i | ||||
\(687\) | −20.2736 | − | 7.78230i | −0.773486 | − | 0.296913i | ||||
\(688\) | 7.09052 | + | 5.15157i | 0.270324 | + | 0.196402i | ||||
\(689\) | −45.8762 | + | 0.565760i | −1.74775 | + | 0.0215538i | ||||
\(690\) | 16.5774 | − | 5.38632i | 0.631091 | − | 0.205054i | ||||
\(691\) | 11.6395 | + | 9.42544i | 0.442786 | + | 0.358561i | 0.824636 | − | 0.565663i | \(-0.191380\pi\) |
−0.381851 | + | 0.924224i | \(0.624713\pi\) | |||||||
\(692\) | 1.50115 | + | 0.866687i | 0.0570650 | + | 0.0329465i | ||||
\(693\) | −0.303969 | + | 3.09610i | −0.0115468 | + | 0.117611i | ||||
\(694\) | 18.1915 | − | 18.1915i | 0.690541 | − | 0.690541i | ||||
\(695\) | −4.28462 | − | 11.1618i | −0.162525 | − | 0.423392i | ||||
\(696\) | 10.8461 | − | 0.568418i | 0.411119 | − | 0.0215458i | ||||
\(697\) | 45.9344 | − | 23.4047i | 1.73989 | − | 0.886517i | ||||
\(698\) | 1.68649 | − | 16.0458i | 0.0638345 | − | 0.607344i | ||||
\(699\) | 12.7613 | − | 5.68169i | 0.482676 | − | 0.214901i | ||||
\(700\) | −1.53818 | − | 0.0806126i | −0.0581377 | − | 0.00304687i | ||||
\(701\) | −1.12698 | − | 3.46850i | −0.0425656 | − | 0.131004i | 0.927515 | − | 0.373785i | \(-0.121940\pi\) |
−0.970081 | + | 0.242781i | \(0.921940\pi\) | |||||||
\(702\) | −4.41473 | − | 1.63248i | −0.166623 | − | 0.0616141i | ||||
\(703\) | 1.08666i | 0.0409843i | ||||||||
\(704\) | 29.1803 | + | 1.32875i | 1.09977 | + | 0.0500792i | ||||
\(705\) | −4.22333 | + | 7.31503i | −0.159060 | + | 0.275500i | ||||
\(706\) | 42.0321 | + | 18.7139i | 1.58190 | + | 0.704307i | ||||
\(707\) | −8.83113 | − | 4.49968i | −0.332129 | − | 0.169228i | ||||
\(708\) | −0.745956 | + | 1.14867i | −0.0280347 | + | 0.0431697i | ||||
\(709\) | −0.354236 | + | 0.286854i | −0.0133036 | + | 0.0107730i | −0.635949 | − | 0.771731i | \(-0.719391\pi\) |
0.622646 | + | 0.782504i | \(0.286058\pi\) | |||||||
\(710\) | −26.6542 | + | 4.22162i | −1.00032 | + | 0.158434i | ||||
\(711\) | −1.67720 | − | 7.89061i | −0.0629000 | − | 0.295921i | ||||
\(712\) | 26.1762 | + | 5.56393i | 0.980995 | + | 0.208517i | ||||
\(713\) | −18.3353 | + | 22.6422i | −0.686661 | + | 0.847956i | ||||
\(714\) | −5.60371 | −0.209713 | ||||||||
\(715\) | 35.1766 | − | 16.4774i | 1.31553 | − | 0.616221i | ||||
\(716\) | 3.09400 | 0.115628 | ||||||||
\(717\) | 10.0224 | − | 12.3766i | 0.374292 | − | 0.462212i | ||||
\(718\) | 43.3185 | + | 9.20763i | 1.61663 | + | 0.343626i | ||||
\(719\) | 3.46018 | + | 16.2789i | 0.129043 | + | 0.607099i | 0.994376 | + | 0.105903i | \(0.0337733\pi\) |
−0.865334 | + | 0.501196i | \(0.832893\pi\) | |||||||
\(720\) | −10.6548 | + | 1.68755i | −0.397080 | + | 0.0628912i | ||||
\(721\) | 4.24135 | − | 3.43458i | 0.157956 | − | 0.127910i | ||||
\(722\) | −31.3395 | + | 48.2586i | −1.16634 | + | 1.79600i | ||||
\(723\) | 22.0282 | + | 11.2239i | 0.819238 | + | 0.417423i | ||||
\(724\) | −0.281674 | − | 0.125409i | −0.0104683 | − | 0.00466079i | ||||
\(725\) | 10.0594 | − | 17.4234i | 0.373597 | − | 0.647090i | ||||
\(726\) | −11.2827 | − | 8.88320i | −0.418740 | − | 0.329687i | ||||
\(727\) | 35.5544i | 1.31864i | 0.751862 | + | 0.659320i | \(0.229156\pi\) | ||||
−0.751862 | + | 0.659320i | \(0.770844\pi\) | |||||||
\(728\) | −10.0928 | − | 0.935114i | −0.374063 | − | 0.0346576i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −31.9021 | − | 1.67192i | −1.18075 | − | 0.0618804i | ||||
\(731\) | −11.0332 | + | 4.91228i | −0.408076 | + | 0.181687i | ||||
\(732\) | −0.309680 | + | 2.94640i | −0.0114461 | + | 0.108902i | ||||
\(733\) | 39.8367 | − | 20.2978i | 1.47140 | − | 0.749716i | 0.479598 | − | 0.877488i | \(-0.340783\pi\) |
0.991804 | + | 0.127772i | \(0.0407826\pi\) | |||||||
\(734\) | −3.02484 | + | 0.158525i | −0.111649 | + | 0.00585126i | ||||
\(735\) | 7.12449 | + | 18.5599i | 0.262791 | + | 0.684593i | ||||
\(736\) | −4.82112 | + | 4.82112i | −0.177709 | + | 0.177709i | ||||
\(737\) | −20.8794 | − | 9.12510i | −0.769101 | − | 0.336128i | ||||
\(738\) | 12.7362 | + | 7.35324i | 0.468825 | + | 0.270676i | ||||
\(739\) | 7.98401 | + | 6.46532i | 0.293697 | + | 0.237831i | 0.764832 | − | 0.644230i | \(-0.222822\pi\) |
−0.471135 | + | 0.882061i | \(0.656156\pi\) | |||||||
\(740\) | 0.125025 | − | 0.0406231i | 0.00459601 | − | 0.00149333i | ||||
\(741\) | 20.4968 | + | 19.9974i | 0.752968 | + | 0.734622i | ||||
\(742\) | −12.6058 | − | 9.15867i | −0.462774 | − | 0.336225i | ||||
\(743\) | −2.12676 | − | 0.816388i | −0.0780234 | − | 0.0299504i | 0.319043 | − | 0.947740i | \(-0.396638\pi\) |
−0.397067 | + | 0.917790i | \(0.629972\pi\) | |||||||
\(744\) | 15.7869 | − | 14.2146i | 0.578776 | − | 0.521132i | ||||
\(745\) | −5.96201 | + | 6.62148i | −0.218431 | + | 0.242592i | ||||
\(746\) | 1.28329 | − | 8.10237i | 0.0469846 | − | 0.296649i | ||||
\(747\) | −2.37390 | + | 8.85951i | −0.0868564 | + | 0.324153i | ||||
\(748\) | −2.41918 | + | 3.78172i | −0.0884541 | + | 0.138274i | ||||
\(749\) | −3.22594 | − | 3.22594i | −0.117873 | − | 0.117873i | ||||
\(750\) | −0.951627 | + | 2.13739i | −0.0347485 | + | 0.0780464i | ||||
\(751\) | −0.813825 | + | 3.82874i | −0.0296969 | + | 0.139713i | −0.990498 | − | 0.137524i | \(-0.956085\pi\) |
0.960802 | + | 0.277237i | \(0.0894188\pi\) | |||||||
\(752\) | −0.451945 | + | 8.62362i | −0.0164807 | + | 0.314471i | ||||
\(753\) | 2.93496 | − | 4.03963i | 0.106956 | − | 0.147212i | ||||
\(754\) | 9.11292 | − | 14.4189i | 0.331873 | − | 0.525104i | ||||
\(755\) | 11.7596 | + | 3.82094i | 0.427977 | + | 0.139058i | ||||
\(756\) | 0.151106 | + | 0.232683i | 0.00549569 | + | 0.00846262i | ||||
\(757\) | −0.907973 | − | 8.63879i | −0.0330008 | − | 0.313982i | −0.998553 | − | 0.0537731i | \(-0.982875\pi\) |
0.965552 | − | 0.260209i | \(-0.0837914\pi\) | |||||||
\(758\) | −13.7070 | − | 23.7413i | −0.497862 | − | 0.862322i | ||||
\(759\) | 13.4499 | − | 2.22488i | 0.488201 | − | 0.0807580i | ||||
\(760\) | 74.6857 | + | 20.0120i | 2.70914 | + | 0.725911i | ||||
\(761\) | 51.1797 | − | 19.6460i | 1.85526 | − | 0.712168i | 0.887237 | − | 0.461313i | \(-0.152622\pi\) |
0.968025 | − | 0.250855i | \(-0.0807117\pi\) | |||||||
\(762\) | −9.28414 | + | 18.2212i | −0.336329 | + | 0.660083i | ||||
\(763\) | 16.9391 | − | 3.60053i | 0.613238 | − | 0.130348i | ||||
\(764\) | 2.51567 | + | 5.65029i | 0.0910138 | + | 0.204420i | ||||
\(765\) | 5.32724 | − | 13.8779i | 0.192607 | − | 0.501757i | ||||
\(766\) | 11.3034 | − | 34.7883i | 0.408409 | − | 1.25695i | ||||
\(767\) | 6.17495 | + | 15.5118i | 0.222964 | + | 0.560098i | ||||
\(768\) | 5.61123 | − | 4.07679i | 0.202478 | − | 0.147109i | ||||
\(769\) | −24.1004 | + | 6.45767i | −0.869081 | + | 0.232870i | −0.665690 | − | 0.746228i | \(-0.731863\pi\) |
−0.203391 | + | 0.979098i | \(0.565196\pi\) | |||||||
\(770\) | 12.9226 | + | 2.65432i | 0.465698 | + | 0.0956551i | ||||
\(771\) | 5.00250 | − | 2.88820i | 0.180161 | − | 0.104016i | ||||
\(772\) | −1.74889 | − | 0.276997i | −0.0629440 | − | 0.00996934i | ||||
\(773\) | −1.10267 | − | 21.0401i | −0.0396602 | − | 0.756761i | −0.944000 | − | 0.329947i | \(-0.892969\pi\) |
0.904339 | − | 0.426814i | \(-0.140364\pi\) | |||||||
\(774\) | −2.88943 | − | 1.87642i | −0.103858 | − | 0.0674465i | ||||
\(775\) | −6.15589 | − | 38.8668i | −0.221126 | − | 1.39614i | ||||
\(776\) | −14.4056 | − | 1.51409i | −0.517130 | − | 0.0543526i | ||||
\(777\) | 0.0858755 | + | 0.0953744i | 0.00308077 | + | 0.00342154i | ||||
\(778\) | −23.9599 | + | 15.5597i | −0.859004 | + | 0.557843i | ||||
\(779\) | −52.5900 | − | 72.3839i | −1.88423 | − | 2.59342i | ||||
\(780\) | 1.53454 | − | 3.10580i | 0.0549454 | − | 0.111206i | ||||
\(781\) | −21.1061 | + | 0.144693i | −0.755236 | + | 0.00517751i | ||||
\(782\) | 6.35558 | + | 23.7194i | 0.227275 | + | 0.848202i | ||||
\(783\) | −3.60403 | + | 0.378799i | −0.128798 | + | 0.0135372i | ||||
\(784\) | 15.1042 | + | 13.5999i | 0.539436 | + | 0.485711i | ||||
\(785\) | 32.1249 | + | 63.0487i | 1.14659 | + | 2.25030i | ||||
\(786\) | 7.29496 | + | 9.00852i | 0.260202 | + | 0.321323i | ||||
\(787\) | 4.37293 | + | 5.40012i | 0.155878 | + | 0.192493i | 0.849102 | − | 0.528229i | \(-0.177144\pi\) |
−0.693224 | + | 0.720722i | \(0.743810\pi\) | |||||||
\(788\) | 2.66596 | + | 5.23225i | 0.0949710 | + | 0.186391i | ||||
\(789\) | 5.94811 | + | 5.35570i | 0.211758 | + | 0.190668i | ||||
\(790\) | −34.0209 | + | 3.57574i | −1.21041 | + | 0.127219i | ||||
\(791\) | 3.31936 | + | 12.3880i | 0.118023 | + | 0.440467i | ||||
\(792\) | −9.93984 | + | 0.0681425i | −0.353197 | + | 0.00242134i | ||||
\(793\) | 27.1340 | + | 23.8323i | 0.963557 | + | 0.846310i | ||||
\(794\) | −0.390878 | − | 0.537998i | −0.0138717 | − | 0.0190928i | ||||
\(795\) | 34.6659 | − | 22.5123i | 1.22947 | − | 0.798429i | ||||
\(796\) | 1.04701 | + | 1.16282i | 0.0371103 | + | 0.0412152i | ||||
\(797\) | −4.62228 | − | 0.485822i | −0.163730 | − | 0.0172087i | 0.0223089 | − | 0.999751i | \(-0.492898\pi\) |
−0.186039 | + | 0.982542i | \(0.559565\pi\) | |||||||
\(798\) | 1.52137 | + | 9.60557i | 0.0538560 | + | 0.340033i | ||||
\(799\) | −9.97989 | − | 6.48101i | −0.353063 | − | 0.229282i | ||||
\(800\) | −0.481954 | − | 9.19623i | −0.0170397 | − | 0.325136i | ||||
\(801\) | −8.81920 | − | 1.39682i | −0.311611 | − | 0.0493543i | ||||
\(802\) | −24.6172 | + | 14.2128i | −0.869264 | + | 0.501870i | ||||
\(803\) | −24.4745 | − | 5.02710i | −0.863685 | − | 0.177402i | ||||
\(804\) | −1.96288 | + | 0.525952i | −0.0692254 | + | 0.0185489i | ||||
\(805\) | −10.1323 | + | 7.36153i | −0.357116 | + | 0.259460i | ||||
\(806\) | −3.89627 | − | 33.1346i | −0.137240 | − | 1.16712i | ||||
\(807\) | −3.79302 | + | 11.6737i | −0.133520 | + | 0.410934i | ||||
\(808\) | 11.3489 | − | 29.5650i | 0.399255 | − | 1.04009i | ||||
\(809\) | 16.9119 | + | 37.9848i | 0.594592 | + | 1.33548i | 0.920747 | + | 0.390159i | \(0.127580\pi\) |
−0.326156 | + | 0.945316i | \(0.605753\pi\) | |||||||
\(810\) | 4.14791 | − | 0.881664i | 0.145743 | − | 0.0309785i | ||||
\(811\) | 1.71932 | − | 3.37435i | 0.0603734 | − | 0.118490i | −0.858848 | − | 0.512231i | \(-0.828819\pi\) |
0.919221 | + | 0.393741i | \(0.128819\pi\) | |||||||
\(812\) | −0.938642 | + | 0.360311i | −0.0329399 | + | 0.0126444i | ||||
\(813\) | 14.9616 | + | 4.00894i | 0.524725 | + | 0.140600i | ||||
\(814\) | −0.584458 | + | 0.0966808i | −0.0204852 | + | 0.00338866i | ||||
\(815\) | 4.42381 | + | 7.66226i | 0.154959 | + | 0.268397i | ||||
\(816\) | −1.58857 | − | 15.1143i | −0.0556112 | − | 0.529106i | ||||
\(817\) | 11.4158 | + | 17.5788i | 0.399388 | + | 0.615003i | ||||
\(818\) | −25.2345 | − | 8.19918i | −0.882303 | − | 0.286678i | ||||
\(819\) | 3.37929 | + | 0.135339i | 0.118082 | + | 0.00472913i | ||||
\(820\) | −6.36207 | + | 8.75664i | −0.222173 | + | 0.305795i | ||||
\(821\) | −0.918127 | + | 17.5189i | −0.0320429 | + | 0.611414i | 0.934665 | + | 0.355530i | \(0.115700\pi\) |
−0.966708 | + | 0.255884i | \(0.917634\pi\) | |||||||
\(822\) | 3.79145 | − | 17.8374i | 0.132242 | − | 0.622149i | ||||
\(823\) | 13.7077 | − | 30.7880i | 0.477820 | − | 1.07320i | −0.500431 | − | 0.865777i | \(-0.666825\pi\) |
0.978251 | − | 0.207425i | \(-0.0665084\pi\) | |||||||
\(824\) | 12.3304 | + | 12.3304i | 0.429550 | + | 0.429550i | ||||
\(825\) | −9.92235 | + | 15.5108i | −0.345452 | + | 0.540018i | ||||
\(826\) | −1.46755 | + | 5.47697i | −0.0510626 | + | 0.190568i | ||||
\(827\) | 1.16743 | − | 7.37087i | 0.0405956 | − | 0.256310i | −0.959041 | − | 0.283267i | \(-0.908582\pi\) |
0.999637 | + | 0.0269568i | \(0.00858167\pi\) | |||||||
\(828\) | 0.813521 | − | 0.903506i | 0.0282718 | − | 0.0313990i | ||||
\(829\) | −7.89887 | + | 7.11218i | −0.274339 | + | 0.247016i | −0.794803 | − | 0.606868i | \(-0.792426\pi\) |
0.520464 | + | 0.853884i | \(0.325759\pi\) | |||||||
\(830\) | 36.3113 | + | 13.9386i | 1.26039 | + | 0.483817i | ||||
\(831\) | 0.0419425 | + | 0.0304730i | 0.00145497 | + | 0.00105710i | ||||
\(832\) | −0.391585 | − | 31.7528i | −0.0135758 | − | 1.10083i | ||||
\(833\) | −26.6367 | + | 8.65478i | −0.922906 | + | 0.299870i | ||||
\(834\) | 3.73410 | + | 3.02382i | 0.129301 | + | 0.104706i | ||||
\(835\) | −21.6213 | − | 12.4831i | −0.748236 | − | 0.431994i | ||||
\(836\) | 7.13922 | + | 3.12012i | 0.246915 | + | 0.107912i | ||||
\(837\) | −5.01205 | + | 5.01205i | −0.173242 | + | 0.173242i | ||||
\(838\) | −14.7075 | − | 38.3145i | −0.508064 | − | 1.32355i | ||||
\(839\) | −23.0129 | + | 1.20605i | −0.794493 | + | 0.0416376i | −0.445263 | − | 0.895400i | \(-0.646890\pi\) |
−0.349230 | + | 0.937037i | \(0.613557\pi\) | |||||||
\(840\) | 8.13651 | − | 4.14576i | 0.280736 | − | 0.143042i | ||||
\(841\) | −1.65860 | + | 15.7805i | −0.0571932 | + | 0.544157i | ||||
\(842\) | −28.9614 | + | 12.8944i | −0.998076 | + | 0.444372i | ||||
\(843\) | 19.3726 | + | 1.01528i | 0.667229 | + | 0.0349680i | ||||
\(844\) | 2.07016 | + | 6.37128i | 0.0712577 | + | 0.219309i | ||||
\(845\) | −20.0934 | − | 37.1416i | −0.691233 | − | 1.27771i | ||||
\(846\) | − | 3.39458i | − | 0.116708i | ||||||
\(847\) | 9.68245 | + | 3.56522i | 0.332693 | + | 0.122502i | ||||
\(848\) | 21.1291 | − | 36.5967i | 0.725577 | − | 1.25674i | ||||
\(849\) | 14.0714 | + | 6.26498i | 0.482928 | + | 0.215014i | ||||
\(850\) | −29.5517 | − | 15.0574i | −1.01362 | − | 0.516463i | ||||
\(851\) | 0.306303 | − | 0.471665i | 0.0104999 | − | 0.0161685i | ||||
\(852\) | −1.46284 | + | 1.18458i | −0.0501160 | + | 0.0405832i | ||||
\(853\) | −5.84073 | + | 0.925080i | −0.199983 | + | 0.0316741i | −0.255622 | − | 0.966777i | \(-0.582280\pi\) |
0.0556394 | + | 0.998451i | \(0.482280\pi\) | |||||||
\(854\) | 2.55005 | + | 11.9971i | 0.0872610 | + | 0.410531i | ||||
\(855\) | −25.2351 | − | 5.36388i | −0.863022 | − | 0.183441i | ||||
\(856\) | 9.17347 | − | 11.3283i | 0.313543 | − | 0.387193i | ||||
\(857\) | 2.03522 | 0.0695218 | 0.0347609 | − | 0.999396i | \(-0.488933\pi\) | ||||
0.0347609 | + | 0.999396i | \(0.488933\pi\) | |||||||
\(858\) | −8.93191 | + | 12.8033i | −0.304931 | + | 0.437097i | ||||
\(859\) | −21.9759 | −0.749808 | −0.374904 | − | 0.927064i | \(-0.622324\pi\) | ||||
−0.374904 | + | 0.927064i | \(0.622324\pi\) | |||||||
\(860\) | 1.59575 | − | 1.97058i | 0.0544146 | − | 0.0671964i | ||||
\(861\) | −10.3360 | − | 2.19698i | −0.352250 | − | 0.0748730i | ||||
\(862\) | −6.73423 | − | 31.6821i | −0.229369 | − | 1.07910i | ||||
\(863\) | −40.3128 | + | 6.38492i | −1.37226 | + | 0.217345i | −0.798658 | − | 0.601785i | \(-0.794456\pi\) |
−0.573607 | + | 0.819131i | \(0.694456\pi\) | |||||||
\(864\) | −1.28908 | + | 1.04388i | −0.0438554 | + | 0.0355134i | ||||
\(865\) | −10.3679 | + | 15.9652i | −0.352519 | + | 0.542832i | ||||
\(866\) | 32.5166 | + | 16.5680i | 1.10496 | + | 0.563004i | ||||
\(867\) | 3.60136 | + | 1.60343i | 0.122309 | + | 0.0544553i | ||||
\(868\) | −0.983273 | + | 1.70308i | −0.0333745 | + | 0.0578063i | ||||
\(869\) | −26.7272 | − | 1.21705i | −0.906657 | − | 0.0412855i | ||||
\(870\) | 15.3673i | 0.521002i | ||||||||
\(871\) | −8.59140 | + | 23.2337i | −0.291108 | + | 0.787245i | ||||
\(872\) | 17.0986 | + | 52.6241i | 0.579032 | + | 1.78208i | ||||
\(873\) | 4.82645 | + | 0.252943i | 0.163351 | + | 0.00856084i | ||||
\(874\) | 38.9329 | − | 17.3341i | 1.31693 | − | 0.586333i | ||||
\(875\) | 0.175723 | − | 1.67189i | 0.00594051 | − | 0.0565202i | ||||
\(876\) | −1.98538 | + | 1.01160i | −0.0670797 | + | 0.0341788i | ||||
\(877\) | 6.20387 | − | 0.325131i | 0.209490 | − | 0.0109789i | 0.0526977 | − | 0.998611i | \(-0.483218\pi\) |
0.156792 | + | 0.987632i | \(0.449885\pi\) | |||||||
\(878\) | −4.74864 | − | 12.3706i | −0.160259 | − | 0.417489i | ||||
\(879\) | −3.11448 | + | 3.11448i | −0.105049 | + | 0.105049i | ||||
\(880\) | −3.49584 | + | 35.6072i | −0.117845 | + | 1.20032i | ||||
\(881\) | 4.66625 | + | 2.69406i | 0.157210 | + | 0.0907651i | 0.576541 | − | 0.817068i | \(-0.304402\pi\) |
−0.419331 | + | 0.907833i | \(0.637735\pi\) | |||||||
\(882\) | −6.20909 | − | 5.02802i | −0.209071 | − | 0.169302i | ||||
\(883\) | 40.7082 | − | 13.2269i | 1.36994 | − | 0.445120i | 0.470590 | − | 0.882352i | \(-0.344041\pi\) |
0.899349 | + | 0.437232i | \(0.144041\pi\) | |||||||
\(884\) | 4.25631 | + | 2.38789i | 0.143155 | + | 0.0803135i | ||||
\(885\) | −12.1689 | − | 8.84124i | −0.409054 | − | 0.297195i | ||||
\(886\) | 3.92075 | + | 1.50504i | 0.131720 | + | 0.0505627i | ||||
\(887\) | −10.7903 | + | 9.71565i | −0.362304 | + | 0.326220i | −0.830098 | − | 0.557618i | \(-0.811716\pi\) |
0.467794 | + | 0.883837i | \(0.345049\pi\) | |||||||
\(888\) | −0.274385 | + | 0.304736i | −0.00920777 | + | 0.0102263i | ||||
\(889\) | 2.29862 | − | 14.5129i | 0.0770932 | − | 0.486747i | ||||
\(890\) | −9.80008 | + | 36.5744i | −0.328500 | + | 1.22598i | ||||
\(891\) | 3.31081 | − | 0.196280i | 0.110916 | − | 0.00657563i | ||||
\(892\) | 1.07651 | + | 1.07651i | 0.0360443 | + | 0.0360443i | ||||
\(893\) | −8.39992 | + | 18.8665i | −0.281093 | + | 0.631344i | ||||
\(894\) | 0.744494 | − | 3.50257i | 0.0248996 | − | 0.117143i | ||||
\(895\) | −1.77832 | + | 33.9324i | −0.0594427 | + | 1.13423i | ||||
\(896\) | 4.51002 | − | 6.20751i | 0.150669 | − | 0.207378i | ||||
\(897\) | −3.25984 | − | 14.4574i | −0.108843 | − | 0.482717i | ||||
\(898\) | −5.45271 | − | 1.77169i | −0.181959 | − | 0.0591221i | ||||
\(899\) | −13.9899 | − | 21.5425i | −0.466588 | − | 0.718482i | ||||
\(900\) | 0.171647 | + | 1.63311i | 0.00572155 | + | 0.0544370i | ||||
\(901\) | 29.1159 | + | 50.4302i | 0.969991 | + | 1.68007i | ||||
\(902\) | 34.2525 | − | 34.7254i | 1.14048 | − | 1.15623i | ||||
\(903\) | 2.39114 | + | 0.640703i | 0.0795720 | + | 0.0213213i | ||||
\(904\) | −38.2561 | + | 14.6851i | −1.27238 | + | 0.488420i | ||||
\(905\) | 1.53728 | − | 3.01708i | 0.0511009 | − | 0.100291i | ||||
\(906\) | −4.86063 | + | 1.03316i | −0.161484 | + | 0.0343244i | ||||
\(907\) | −17.1949 | − | 38.6204i | −0.570948 | − | 1.28237i | −0.936202 | − | 0.351462i | \(-0.885685\pi\) |
0.365254 | − | 0.930908i | \(-0.380982\pi\) | |||||||
\(908\) | −1.46404 | + | 3.81395i | −0.0485859 | + | 0.126571i | ||||
\(909\) | −3.26524 | + | 10.0494i | −0.108301 | + | 0.333317i | ||||
\(910\) | 2.06868 | − | 14.1916i | 0.0685760 | − | 0.470448i | ||||
\(911\) | 11.4984 | − | 8.35408i | 0.380959 | − | 0.276783i | −0.380782 | − | 0.924665i | \(-0.624345\pi\) |
0.761741 | + | 0.647882i | \(0.224345\pi\) | |||||||
\(912\) | −25.4768 | + | 6.82648i | −0.843620 | + | 0.226047i | ||||
\(913\) | 26.4483 | + | 15.0292i | 0.875312 | + | 0.497392i | ||||
\(914\) | 26.4907 | − | 15.2944i | 0.876235 | − | 0.505895i | ||||
\(915\) | −32.1357 | − | 5.08979i | −1.06237 | − | 0.168263i | ||||
\(916\) | 0.336164 | + | 6.41439i | 0.0111072 | + | 0.211937i | ||||
\(917\) | −6.98525 | − | 4.53627i | −0.230673 | − | 0.149801i | ||||
\(918\) | 0.934557 | + | 5.90056i | 0.0308450 | + | 0.194748i | ||||
\(919\) | 36.7338 | + | 3.86088i | 1.21174 | + | 0.127359i | 0.688761 | − | 0.724989i | \(-0.258155\pi\) |
0.522976 | + | 0.852347i | \(0.324822\pi\) | |||||||
\(920\) | −26.7764 | − | 29.7382i | −0.882791 | − | 0.980438i | ||||
\(921\) | −1.95911 | + | 1.27226i | −0.0645548 | + | 0.0419224i | ||||
\(922\) | −22.8973 | − | 31.5154i | −0.754082 | − | 1.03790i | ||||
\(923\) | 1.48333 | + | 22.8973i | 0.0488244 | + | 0.753673i | ||||
\(924\) | 0.873169 | − | 0.290342i | 0.0287251 | − | 0.00955156i | ||||
\(925\) | 0.196599 | + | 0.733718i | 0.00646414 | + | 0.0241245i | ||||
\(926\) | 1.87559 | − | 0.197132i | 0.0616356 | − | 0.00647817i | ||||
\(927\) | −4.32387 | − | 3.89323i | −0.142015 | − | 0.127871i | ||||
\(928\) | −2.72897 | − | 5.35590i | −0.0895827 | − | 0.175816i | ||||
\(929\) | 0.993702 | + | 1.22712i | 0.0326023 | + | 0.0402605i | 0.793186 | − | 0.608979i | \(-0.208421\pi\) |
−0.760584 | + | 0.649239i | \(0.775087\pi\) | |||||||
\(930\) | 18.9159 | + | 23.3592i | 0.620276 | + | 0.765977i | ||||
\(931\) | 22.0672 | + | 43.3094i | 0.723225 | + | 1.41941i | ||||
\(932\) | −3.07050 | − | 2.76469i | −0.100578 | − | 0.0905606i | ||||
\(933\) | 14.0020 | − | 1.47167i | 0.458405 | − | 0.0481803i | ||||
\(934\) | 9.21870 | + | 34.4047i | 0.301645 | + | 1.12576i | ||||
\(935\) | −40.0843 | − | 28.7052i | −1.31090 | − | 0.938760i | ||||
\(936\) | 0.698570 | + | 10.7834i | 0.0228335 | + | 0.352466i | ||||
\(937\) | −27.3520 | − | 37.6469i | −0.893552 | − | 1.22987i | −0.972479 | − | 0.232989i | \(-0.925149\pi\) |
0.0789271 | − | 0.996880i | \(-0.474851\pi\) | |||||||
\(938\) | −7.05559 | + | 4.58195i | −0.230373 | + | 0.149606i | ||||
\(939\) | −2.34330 | − | 2.60250i | −0.0764708 | − | 0.0849294i | ||||
\(940\) | 2.48469 | + | 0.261151i | 0.0810416 | + | 0.00851781i | ||||
\(941\) | 0.612628 | + | 3.86798i | 0.0199711 | + | 0.126093i | 0.995660 | − | 0.0930691i | \(-0.0296678\pi\) |
−0.975689 | + | 0.219162i | \(0.929668\pi\) | |||||||
\(942\) | −23.8499 | − | 15.4883i | −0.777073 | − | 0.504637i | ||||
\(943\) | 2.42344 | + | 46.2419i | 0.0789180 | + | 1.50584i | ||||
\(944\) | −15.1885 | − | 2.40562i | −0.494343 | − | 0.0782962i | ||||
\(945\) | −2.63873 | + | 1.52347i | −0.0858378 | + | 0.0495585i | ||||
\(946\) | −8.43901 | + | 7.70393i | −0.274376 | + | 0.250476i | ||||
\(947\) | 41.0951 | − | 11.0114i | 1.33541 | − | 0.357822i | 0.480680 | − | 0.876896i | \(-0.340390\pi\) |
0.854729 | + | 0.519074i | \(0.173723\pi\) | |||||||
\(948\) | −1.93035 | + | 1.40248i | −0.0626949 | + | 0.0455505i | ||||
\(949\) | −3.91793 | + | 26.8779i | −0.127181 | + | 0.872495i | ||||
\(950\) | −17.7874 | + | 54.7439i | −0.577099 | + | 1.77613i | ||||
\(951\) | −8.27875 | + | 21.5669i | −0.268457 | + | 0.699354i | ||||
\(952\) | 5.23262 | + | 11.7527i | 0.169590 | + | 0.380906i | ||||
\(953\) | −17.5152 | + | 3.72297i | −0.567372 | + | 0.120599i | −0.482662 | − | 0.875807i | \(-0.660330\pi\) |
−0.0847106 | + | 0.996406i | \(0.526997\pi\) | |||||||
\(954\) | −7.54151 | + | 14.8011i | −0.244166 | + | 0.479202i | ||||
\(955\) | −63.4136 | + | 24.3422i | −2.05202 | + | 0.787695i | ||||
\(956\) | −4.55003 | − | 1.21918i | −0.147158 | − | 0.0394310i | ||||
\(957\) | −1.79877 | + | 11.8837i | −0.0581460 | + | 0.384145i | ||||
\(958\) | 13.0253 | + | 22.5605i | 0.420828 | + | 0.728896i | ||||
\(959\) | 1.36962 | + | 13.0311i | 0.0442273 | + | 0.420795i | ||||
\(960\) | 15.5817 | + | 23.9936i | 0.502896 | + | 0.774392i | ||||
\(961\) | −18.2995 | − | 5.94586i | −0.590306 | − | 0.191802i | ||||
\(962\) | 0.141654 | + | 0.628235i | 0.00456712 | + | 0.0202551i | ||||
\(963\) | −2.85882 | + | 3.93483i | −0.0921243 | + | 0.126798i | ||||
\(964\) | 0.382711 | − | 7.30256i | 0.0123263 | − | 0.235200i | ||||
\(965\) | 4.04307 | − | 19.0212i | 0.130151 | − | 0.612313i | ||||
\(966\) | 2.04721 | − | 4.59812i | 0.0658681 | − | 0.147942i | ||||
\(967\) | 9.23158 | + | 9.23158i | 0.296867 | + | 0.296867i | 0.839786 | − | 0.542918i | \(-0.182681\pi\) |
−0.542918 | + | 0.839786i | \(0.682681\pi\) | |||||||
\(968\) | −8.09522 | + | 31.9581i | −0.260190 | + | 1.02717i | ||||
\(969\) | 9.40688 | − | 35.1070i | 0.302193 | − | 1.12780i | ||||
\(970\) | 3.20612 | − | 20.2427i | 0.102942 | − | 0.649953i | ||||
\(971\) | −8.20639 | + | 9.11412i | −0.263356 | + | 0.292486i | −0.860291 | − | 0.509803i | \(-0.829718\pi\) |
0.596935 | + | 0.802289i | \(0.296385\pi\) | |||||||
\(972\) | 0.219809 | − | 0.197917i | 0.00705038 | − | 0.00634819i | ||||
\(973\) | −3.22311 | − | 1.23724i | −0.103328 | − | 0.0396639i | ||||
\(974\) | −30.1789 | − | 21.9262i | −0.966993 | − | 0.702562i | ||||
\(975\) | 17.4574 | + | 9.79400i | 0.559084 | + | 0.313659i | ||||
\(976\) | −31.6355 | + | 10.2790i | −1.01263 | + | 0.329022i | ||||
\(977\) | −2.29401 | − | 1.85765i | −0.0733919 | − | 0.0594316i | 0.591922 | − | 0.805995i | \(-0.298369\pi\) |
−0.665314 | + | 0.746563i | \(0.731702\pi\) | |||||||
\(978\) | −3.07934 | − | 1.77786i | −0.0984664 | − | 0.0568496i | ||||
\(979\) | −11.8596 | + | 27.1362i | −0.379034 | + | 0.867277i | ||||
\(980\) | 4.15797 | − | 4.15797i | 0.132822 | − | 0.132822i | ||||
\(981\) | −6.61629 | − | 17.2360i | −0.211242 | − | 0.550304i | ||||
\(982\) | 6.38945 | − | 0.334857i | 0.203895 | − | 0.0106857i | ||||
\(983\) | 31.2135 | − | 15.9041i | 0.995555 | − | 0.507261i | 0.121242 | − | 0.992623i | \(-0.461312\pi\) |
0.874313 | + | 0.485362i | \(0.161312\pi\) | |||||||
\(984\) | 3.52918 | − | 33.5779i | 0.112506 | − | 1.07042i | ||||
\(985\) | −58.9152 | + | 26.2307i | −1.87719 | + | 0.835781i | ||||
\(986\) | −21.6198 | − | 1.13305i | −0.688516 | − | 0.0360836i | ||||
\(987\) | 0.753716 | + | 2.31970i | 0.0239910 | + | 0.0738368i | ||||
\(988\) | 2.93763 | − | 7.94424i | 0.0934585 | − | 0.252740i | ||||
\(989\) | − | 10.8479i | − | 0.344942i | ||||||
\(990\) | 0.639772 | − | 14.0498i | 0.0203333 | − | 0.446533i | ||||
\(991\) | 2.85416 | − | 4.94355i | 0.0906654 | − | 0.157037i | −0.817126 | − | 0.576459i | \(-0.804434\pi\) |
0.907791 | + | 0.419422i | \(0.137767\pi\) | |||||||
\(992\) | −10.7408 | − | 4.78212i | −0.341021 | − | 0.151832i | ||||
\(993\) | −0.0409555 | − | 0.0208679i | −0.00129968 | − | 0.000662221i | ||||
\(994\) | −4.24419 | + | 6.53548i | −0.134618 | + | 0.207293i | ||||
\(995\) | −13.3546 | + | 10.8144i | −0.423371 | + | 0.342839i | ||||
\(996\) | 2.67953 | − | 0.424395i | 0.0849041 | − | 0.0134475i | ||||
\(997\) | −6.00530 | − | 28.2527i | −0.190190 | − | 0.894772i | −0.964933 | − | 0.262496i | \(-0.915454\pi\) |
0.774743 | − | 0.632276i | \(-0.217879\pi\) | |||||||
\(998\) | 1.39537 | + | 0.296595i | 0.0441696 | + | 0.00938854i | ||||
\(999\) | 0.0861050 | − | 0.106331i | 0.00272424 | − | 0.00336416i |
(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 | 429.2.bs.b.19.5 | ✓ | 224 | |
11.7 | odd | 10 | inner | 429.2.bs.b.370.10 | yes | 224 | |
13.11 | odd | 12 | inner | 429.2.bs.b.349.10 | yes | 224 | |
143.128 | even | 60 | inner | 429.2.bs.b.271.5 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.19.5 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.271.5 | yes | 224 | 143.128 | even | 60 | inner | |
429.2.bs.b.349.10 | yes | 224 | 13.11 | odd | 12 | inner | |
429.2.bs.b.370.10 | yes | 224 | 11.7 | odd | 10 | inner |