Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(19,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.o (of order \(22\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 159.11 | ||
Character | \(\chi\) | \(=\) | 460.159 |
Dual form | 460.2.o.b.379.11 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25704 | + | 0.647957i | −0.888862 | + | 0.458175i | ||||
\(3\) | −0.162604 | − | 1.13093i | −0.0938793 | − | 0.652945i | −0.981371 | − | 0.192121i | \(-0.938463\pi\) |
0.887492 | − | 0.460823i | \(-0.152446\pi\) | |||||||
\(4\) | 1.16030 | − | 1.62902i | 0.580152 | − | 0.814508i | ||||
\(5\) | −2.23501 | − | 0.0687254i | −0.999528 | − | 0.0307349i | ||||
\(6\) | 0.937195 | + | 1.31627i | 0.382608 | + | 0.537365i | ||||
\(7\) | 2.30652 | + | 1.99861i | 0.871782 | + | 0.755404i | 0.970853 | − | 0.239677i | \(-0.0770414\pi\) |
−0.0990704 | + | 0.995080i | \(0.531587\pi\) | |||||||
\(8\) | −0.403018 | + | 2.79957i | −0.142488 | + | 0.989796i | ||||
\(9\) | 1.62591 | − | 0.477410i | 0.541970 | − | 0.159137i | ||||
\(10\) | 2.85403 | − | 1.36180i | 0.902524 | − | 0.430639i | ||||
\(11\) | −0.301561 | + | 0.193801i | −0.0909240 | + | 0.0584333i | −0.585313 | − | 0.810808i | \(-0.699028\pi\) |
0.494389 | + | 0.869241i | \(0.335392\pi\) | |||||||
\(12\) | −2.03098 | − | 1.04734i | −0.586293 | − | 0.302342i | ||||
\(13\) | −3.22877 | + | 2.79774i | −0.895498 | + | 0.775954i | −0.975306 | − | 0.220856i | \(-0.929115\pi\) |
0.0798079 | + | 0.996810i | \(0.474569\pi\) | |||||||
\(14\) | −4.19440 | − | 1.01781i | −1.12100 | − | 0.272021i | ||||
\(15\) | 0.285697 | + | 2.53882i | 0.0737667 | + | 0.655522i | ||||
\(16\) | −1.30739 | − | 3.78031i | −0.326847 | − | 0.945077i | ||||
\(17\) | 2.42943 | − | 5.31971i | 0.589223 | − | 1.29022i | −0.346687 | − | 0.937981i | \(-0.612693\pi\) |
0.935910 | − | 0.352238i | \(-0.114579\pi\) | |||||||
\(18\) | −1.73449 | + | 1.65364i | −0.408824 | + | 0.389767i | ||||
\(19\) | 1.96423 | + | 4.30107i | 0.450626 | + | 0.986733i | 0.989525 | + | 0.144362i | \(0.0461131\pi\) |
−0.538899 | + | 0.842370i | \(0.681160\pi\) | |||||||
\(20\) | −2.70525 | + | 3.56113i | −0.604912 | + | 0.796292i | ||||
\(21\) | 1.88525 | − | 2.93350i | 0.411395 | − | 0.640142i | ||||
\(22\) | 0.253499 | − | 0.439014i | 0.0540462 | − | 0.0935982i | ||||
\(23\) | 4.37791 | + | 1.95804i | 0.912857 | + | 0.408279i | ||||
\(24\) | 3.23166 | 0.000566722i | 0.659659 | 0.000115682i | ||||||
\(25\) | 4.99055 | + | 0.307204i | 0.998111 | + | 0.0614408i | ||||
\(26\) | 2.24588 | − | 5.60898i | 0.440452 | − | 1.10001i | ||||
\(27\) | −2.22821 | − | 4.87910i | −0.428819 | − | 0.938983i | ||||
\(28\) | 5.93203 | − | 1.43836i | 1.12105 | − | 0.271825i | ||||
\(29\) | 0.663351 | − | 1.45254i | 0.123181 | − | 0.269729i | −0.837988 | − | 0.545688i | \(-0.816268\pi\) |
0.961169 | + | 0.275959i | \(0.0889955\pi\) | |||||||
\(30\) | −2.00418 | − | 3.00629i | −0.365912 | − | 0.548870i | ||||
\(31\) | 6.89906 | + | 0.991935i | 1.23911 | + | 0.178157i | 0.730543 | − | 0.682867i | \(-0.239267\pi\) |
0.508565 | + | 0.861024i | \(0.330176\pi\) | |||||||
\(32\) | 4.09292 | + | 3.90487i | 0.723532 | + | 0.690291i | ||||
\(33\) | 0.268211 | + | 0.309532i | 0.0466896 | + | 0.0538826i | ||||
\(34\) | 0.393048 | + | 8.26126i | 0.0674072 | + | 1.41679i | ||||
\(35\) | −5.01774 | − | 4.62543i | −0.848153 | − | 0.781841i | ||||
\(36\) | 1.10884 | − | 3.20257i | 0.184807 | − | 0.533762i | ||||
\(37\) | 9.88800 | − | 2.90338i | 1.62558 | − | 0.477313i | 0.663068 | − | 0.748559i | \(-0.269254\pi\) |
0.962510 | + | 0.271247i | \(0.0874359\pi\) | |||||||
\(38\) | −5.25603 | − | 4.13388i | −0.852640 | − | 0.670604i | ||||
\(39\) | 3.68907 | + | 3.19660i | 0.590724 | + | 0.511865i | ||||
\(40\) | 1.09315 | − | 6.22937i | 0.172842 | − | 0.984949i | ||||
\(41\) | −9.50538 | − | 2.79103i | −1.48449 | − | 0.435886i | −0.563712 | − | 0.825971i | \(-0.690627\pi\) |
−0.920779 | + | 0.390085i | \(0.872446\pi\) | |||||||
\(42\) | −0.469051 | + | 4.90909i | −0.0723761 | + | 0.757489i | ||||
\(43\) | 6.20848 | − | 0.892645i | 0.946785 | − | 0.136127i | 0.348409 | − | 0.937343i | \(-0.386722\pi\) |
0.598376 | + | 0.801216i | \(0.295813\pi\) | |||||||
\(44\) | −0.0341967 | + | 0.716116i | −0.00515535 | + | 0.107959i | ||||
\(45\) | −3.66673 | + | 0.955275i | −0.546605 | + | 0.142404i | ||||
\(46\) | −6.77194 | + | 0.375361i | −0.998467 | + | 0.0553440i | ||||
\(47\) | 8.90189 | 1.29847 | 0.649237 | − | 0.760586i | \(-0.275088\pi\) | ||||
0.649237 | + | 0.760586i | \(0.275088\pi\) | |||||||
\(48\) | −4.06269 | + | 2.09326i | −0.586399 | + | 0.302136i | ||||
\(49\) | 0.329384 | + | 2.29092i | 0.0470549 | + | 0.327274i | ||||
\(50\) | −6.47239 | + | 2.84749i | −0.915334 | + | 0.402697i | ||||
\(51\) | −6.41127 | − | 1.88252i | −0.897758 | − | 0.263605i | ||||
\(52\) | 0.811216 | + | 8.50594i | 0.112495 | + | 1.17956i | ||||
\(53\) | −5.80406 | + | 6.69825i | −0.797250 | + | 0.920075i | −0.998227 | − | 0.0595208i | \(-0.981043\pi\) |
0.200977 | + | 0.979596i | \(0.435588\pi\) | |||||||
\(54\) | 5.96240 | + | 4.68945i | 0.811380 | + | 0.638153i | ||||
\(55\) | 0.687311 | − | 0.412423i | 0.0926770 | − | 0.0556111i | ||||
\(56\) | −6.52481 | + | 5.65178i | −0.871915 | + | 0.755251i | ||||
\(57\) | 4.54483 | − | 2.92078i | 0.601977 | − | 0.386867i | ||||
\(58\) | 0.107321 | + | 2.25572i | 0.0140919 | + | 0.296191i | ||||
\(59\) | 3.20551 | − | 2.77759i | 0.417321 | − | 0.361611i | −0.420745 | − | 0.907179i | \(-0.638231\pi\) |
0.838067 | + | 0.545568i | \(0.183686\pi\) | |||||||
\(60\) | 4.46728 | + | 2.48040i | 0.576724 | + | 0.320219i | ||||
\(61\) | 3.27509 | + | 0.470887i | 0.419333 | + | 0.0602910i | 0.348752 | − | 0.937215i | \(-0.386606\pi\) |
0.0705809 | + | 0.997506i | \(0.477515\pi\) | |||||||
\(62\) | −9.31513 | + | 3.22339i | −1.18302 | + | 0.409371i | ||||
\(63\) | 4.70435 | + | 2.14840i | 0.592692 | + | 0.270673i | ||||
\(64\) | −7.67515 | − | 2.25655i | −0.959394 | − | 0.282069i | ||||
\(65\) | 7.40860 | − | 6.03109i | 0.918924 | − | 0.748064i | ||||
\(66\) | −0.537716 | − | 0.215305i | −0.0661883 | − | 0.0265023i | ||||
\(67\) | −4.97326 | + | 7.73854i | −0.607580 | + | 0.945413i | 0.392095 | + | 0.919925i | \(0.371751\pi\) |
−0.999675 | + | 0.0254886i | \(0.991886\pi\) | |||||||
\(68\) | −5.84702 | − | 10.1301i | −0.709055 | − | 1.22845i | ||||
\(69\) | 1.50255 | − | 5.26951i | 0.180885 | − | 0.634374i | ||||
\(70\) | 9.30459 | + | 2.56308i | 1.11211 | + | 0.306347i | ||||
\(71\) | −3.87939 | + | 6.03645i | −0.460399 | + | 0.716395i | −0.991384 | − | 0.130986i | \(-0.958186\pi\) |
0.530985 | + | 0.847381i | \(0.321822\pi\) | |||||||
\(72\) | 0.681270 | + | 4.74424i | 0.0802885 | + | 0.559115i | ||||
\(73\) | 6.20829 | − | 2.83523i | 0.726625 | − | 0.331838i | −0.0175294 | − | 0.999846i | \(-0.505580\pi\) |
0.744154 | + | 0.668008i | \(0.232853\pi\) | |||||||
\(74\) | −10.5484 | + | 10.0567i | −1.22622 | + | 1.16906i | ||||
\(75\) | −0.464055 | − | 5.69394i | −0.0535845 | − | 0.657479i | ||||
\(76\) | 9.28562 | + | 1.79078i | 1.06513 | + | 0.205417i | ||||
\(77\) | −1.08289 | − | 0.155696i | −0.123407 | − | 0.0177432i | ||||
\(78\) | −6.70857 | − | 1.62790i | −0.759595 | − | 0.184323i | ||||
\(79\) | 1.26225 | + | 1.45671i | 0.142014 | + | 0.163893i | 0.822301 | − | 0.569053i | \(-0.192690\pi\) |
−0.680287 | + | 0.732946i | \(0.738145\pi\) | |||||||
\(80\) | 2.66222 | + | 8.53889i | 0.297646 | + | 0.954676i | ||||
\(81\) | −0.878986 | + | 0.564890i | −0.0976651 | + | 0.0627655i | ||||
\(82\) | 13.7571 | − | 2.65063i | 1.51922 | − | 0.292714i | ||||
\(83\) | 0.681170 | + | 2.31985i | 0.0747681 | + | 0.254637i | 0.988392 | − | 0.151923i | \(-0.0485465\pi\) |
−0.913624 | + | 0.406560i | \(0.866728\pi\) | |||||||
\(84\) | −2.59126 | − | 6.47485i | −0.282730 | − | 0.706464i | ||||
\(85\) | −5.79540 | + | 11.7227i | −0.628600 | + | 1.27150i | ||||
\(86\) | −7.22592 | + | 5.14492i | −0.779191 | + | 0.554791i | ||||
\(87\) | −1.75059 | − | 0.514018i | −0.187682 | − | 0.0551085i | ||||
\(88\) | −0.421025 | − | 0.922345i | −0.0448814 | − | 0.0983223i | ||||
\(89\) | 0.999667 | − | 0.143730i | 0.105964 | − | 0.0152354i | −0.0891286 | − | 0.996020i | \(-0.528408\pi\) |
0.195093 | + | 0.980785i | \(0.437499\pi\) | |||||||
\(90\) | 3.99026 | − | 3.57671i | 0.420610 | − | 0.377018i | ||||
\(91\) | −13.0388 | −1.36684 | ||||||||
\(92\) | 8.26938 | − | 4.85976i | 0.862143 | − | 0.506666i | ||||
\(93\) | − | 7.96367i | − | 0.825794i | ||||||
\(94\) | −11.1900 | + | 5.76804i | −1.15417 | + | 0.594928i | ||||
\(95\) | −4.09449 | − | 9.74793i | −0.420086 | − | 1.00012i | ||||
\(96\) | 3.75063 | − | 5.26376i | 0.382797 | − | 0.537231i | ||||
\(97\) | −8.52946 | − | 2.50448i | −0.866036 | − | 0.254291i | −0.181607 | − | 0.983371i | \(-0.558130\pi\) |
−0.684428 | + | 0.729080i | \(0.739948\pi\) | |||||||
\(98\) | −1.89846 | − | 2.66635i | −0.191774 | − | 0.269342i | ||||
\(99\) | −0.397787 | + | 0.459071i | −0.0399791 | + | 0.0461384i | ||||
\(100\) | 6.29100 | − | 7.77324i | 0.629100 | − | 0.777324i | ||||
\(101\) | −10.3734 | + | 3.04591i | −1.03219 | + | 0.303079i | −0.753602 | − | 0.657331i | \(-0.771685\pi\) |
−0.278590 | + | 0.960410i | \(0.589867\pi\) | |||||||
\(102\) | 9.27902 | − | 1.78782i | 0.918760 | − | 0.177021i | ||||
\(103\) | −8.97214 | − | 13.9609i | −0.884051 | − | 1.37561i | −0.926414 | − | 0.376508i | \(-0.877125\pi\) |
0.0423627 | − | 0.999102i | \(-0.486512\pi\) | |||||||
\(104\) | −6.53121 | − | 10.1667i | −0.640438 | − | 0.996926i | ||||
\(105\) | −4.41515 | + | 6.42684i | −0.430875 | + | 0.627196i | ||||
\(106\) | 2.95577 | − | 12.1808i | 0.287090 | − | 1.18310i | ||||
\(107\) | 12.7679 | + | 1.83574i | 1.23432 | + | 0.177468i | 0.728422 | − | 0.685128i | \(-0.240254\pi\) |
0.505893 | + | 0.862596i | \(0.331163\pi\) | |||||||
\(108\) | −10.5335 | − | 2.03145i | −1.01359 | − | 0.195476i | ||||
\(109\) | −5.40956 | − | 2.47047i | −0.518142 | − | 0.236628i | 0.139139 | − | 0.990273i | \(-0.455566\pi\) |
−0.657281 | + | 0.753645i | \(0.728294\pi\) | |||||||
\(110\) | −0.596745 | + | 0.963780i | −0.0568974 | + | 0.0918929i | ||||
\(111\) | −4.89135 | − | 10.7106i | −0.464267 | − | 1.01660i | ||||
\(112\) | 4.53985 | − | 11.3323i | 0.428975 | − | 1.07080i | ||||
\(113\) | −8.06768 | − | 5.18478i | −0.758944 | − | 0.487743i | 0.103041 | − | 0.994677i | \(-0.467143\pi\) |
−0.861985 | + | 0.506934i | \(0.830779\pi\) | |||||||
\(114\) | −3.82050 | + | 6.61640i | −0.357822 | + | 0.619683i | ||||
\(115\) | −9.65011 | − | 4.67711i | −0.899877 | − | 0.436143i | ||||
\(116\) | −1.59652 | − | 2.76599i | −0.148233 | − | 0.256816i | ||||
\(117\) | −3.91401 | + | 6.09032i | −0.361850 | + | 0.563050i | ||||
\(118\) | −2.22970 | + | 5.56857i | −0.205260 | + | 0.512628i | ||||
\(119\) | 16.2356 | − | 7.41453i | 1.48831 | − | 0.679689i | ||||
\(120\) | −7.22275 | − | 0.223363i | −0.659344 | − | 0.0203902i | ||||
\(121\) | −4.51619 | + | 9.88907i | −0.410562 | + | 0.899006i | ||||
\(122\) | −4.42204 | + | 1.53019i | −0.400353 | + | 0.138537i | ||||
\(123\) | −1.61086 | + | 11.2038i | −0.145246 | + | 1.01021i | ||||
\(124\) | 9.62088 | − | 10.0877i | 0.863981 | − | 0.905905i | ||||
\(125\) | −11.1328 | − | 1.02958i | −0.995751 | − | 0.0920886i | ||||
\(126\) | −7.30563 | + | 0.347582i | −0.650837 | + | 0.0309651i | ||||
\(127\) | −13.2267 | + | 8.50031i | −1.17368 | + | 0.754281i | −0.974215 | − | 0.225623i | \(-0.927558\pi\) |
−0.199469 | + | 0.979904i | \(0.563922\pi\) | |||||||
\(128\) | 11.1101 | − | 2.13659i | 0.982006 | − | 0.188849i | ||||
\(129\) | −2.01904 | − | 6.87623i | −0.177767 | − | 0.605418i | ||||
\(130\) | −5.40504 | + | 12.3818i | −0.474053 | + | 1.08595i | ||||
\(131\) | 0.380366 | + | 0.329589i | 0.0332328 | + | 0.0287964i | 0.671319 | − | 0.741169i | \(-0.265728\pi\) |
−0.638086 | + | 0.769965i | \(0.720274\pi\) | |||||||
\(132\) | 0.815440 | − | 0.0777688i | 0.0709749 | − | 0.00676891i | ||||
\(133\) | −4.06562 | + | 13.8462i | −0.352534 | + | 1.20062i | ||||
\(134\) | 1.23735 | − | 12.9501i | 0.106891 | − | 1.11872i | ||||
\(135\) | 4.64476 | + | 11.0580i | 0.399757 | + | 0.951720i | ||||
\(136\) | 13.9138 | + | 8.94529i | 1.19310 | + | 0.767053i | ||||
\(137\) | 14.0652 | 1.20167 | 0.600836 | − | 0.799372i | \(-0.294834\pi\) | ||||
0.600836 | + | 0.799372i | \(0.294834\pi\) | |||||||
\(138\) | 1.52565 | + | 7.59757i | 0.129872 | + | 0.646748i | ||||
\(139\) | 6.14490i | 0.521203i | 0.965446 | + | 0.260602i | \(0.0839209\pi\) | ||||
−0.965446 | + | 0.260602i | \(0.916079\pi\) | |||||||
\(140\) | −13.3570 | + | 2.80707i | −1.12887 | + | 0.237241i | ||||
\(141\) | −1.44748 | − | 10.0674i | −0.121900 | − | 0.847832i | ||||
\(142\) | 0.965195 | − | 10.1017i | 0.0809974 | − | 0.847719i | ||||
\(143\) | 0.431463 | − | 1.46943i | 0.0360807 | − | 0.122880i | ||||
\(144\) | −3.93045 | − | 5.52228i | −0.327537 | − | 0.460190i | ||||
\(145\) | −1.58242 | + | 3.20085i | −0.131413 | + | 0.265816i | ||||
\(146\) | −5.96696 | + | 7.58670i | −0.493829 | + | 0.627880i | ||||
\(147\) | 2.53732 | − | 0.745023i | 0.209274 | − | 0.0614485i | ||||
\(148\) | 6.74344 | − | 19.4765i | 0.554307 | − | 1.60096i | ||||
\(149\) | 7.81419 | + | 12.1591i | 0.640163 | + | 0.996114i | 0.998054 | + | 0.0623503i | \(0.0198596\pi\) |
−0.357891 | + | 0.933763i | \(0.616504\pi\) | |||||||
\(150\) | 4.27276 | + | 6.85682i | 0.348869 | + | 0.559857i | ||||
\(151\) | 11.1184 | − | 9.63412i | 0.904800 | − | 0.784014i | −0.0721697 | − | 0.997392i | \(-0.522992\pi\) |
0.976970 | + | 0.213379i | \(0.0684469\pi\) | |||||||
\(152\) | −12.8327 | + | 3.76559i | −1.04087 | + | 0.305430i | ||||
\(153\) | 1.41035 | − | 9.80920i | 0.114020 | − | 0.793027i | ||||
\(154\) | 1.46212 | − | 0.505949i | 0.117821 | − | 0.0407705i | ||||
\(155\) | −15.3513 | − | 2.69113i | −1.23305 | − | 0.216156i | ||||
\(156\) | 9.48775 | − | 2.30053i | 0.759628 | − | 0.184190i | ||||
\(157\) | 2.02394 | + | 4.43181i | 0.161528 | + | 0.353697i | 0.973039 | − | 0.230640i | \(-0.0740820\pi\) |
−0.811511 | + | 0.584337i | \(0.801355\pi\) | |||||||
\(158\) | −2.53058 | − | 1.01326i | −0.201322 | − | 0.0806109i | ||||
\(159\) | 8.51903 | + | 5.47485i | 0.675603 | + | 0.434184i | ||||
\(160\) | −8.87935 | − | 9.00872i | −0.701974 | − | 0.712202i | ||||
\(161\) | 6.18438 | + | 13.2660i | 0.487397 | + | 1.04551i | ||||
\(162\) | 0.738897 | − | 1.27963i | 0.0580532 | − | 0.100538i | ||||
\(163\) | −17.7494 | − | 11.4069i | −1.39024 | − | 0.893455i | −0.390611 | − | 0.920556i | \(-0.627736\pi\) |
−0.999633 | + | 0.0271008i | \(0.991372\pi\) | |||||||
\(164\) | −15.5758 | + | 12.2460i | −1.21626 | + | 0.956250i | ||||
\(165\) | −0.578182 | − | 0.710241i | −0.0450114 | − | 0.0552922i | ||||
\(166\) | −2.35942 | − | 2.47478i | −0.183127 | − | 0.192080i | ||||
\(167\) | −4.97094 | + | 10.8848i | −0.384663 | + | 0.842294i | 0.613935 | + | 0.789356i | \(0.289586\pi\) |
−0.998598 | + | 0.0529372i | \(0.983142\pi\) | |||||||
\(168\) | 7.45274 | + | 6.46013i | 0.574992 | + | 0.498410i | ||||
\(169\) | 0.747478 | − | 5.19882i | 0.0574983 | − | 0.399909i | ||||
\(170\) | −0.310709 | − | 18.4910i | −0.0238303 | − | 1.41820i | ||||
\(171\) | 5.24703 | + | 6.05540i | 0.401251 | + | 0.463068i | ||||
\(172\) | 5.74959 | − | 11.1495i | 0.438403 | − | 0.850138i | ||||
\(173\) | 1.07836 | + | 1.67797i | 0.0819865 | + | 0.127574i | 0.879825 | − | 0.475298i | \(-0.157660\pi\) |
−0.797839 | + | 0.602871i | \(0.794023\pi\) | |||||||
\(174\) | 2.53362 | − | 0.488161i | 0.192073 | − | 0.0370074i | ||||
\(175\) | 10.8968 | + | 10.6827i | 0.823723 | + | 0.807540i | ||||
\(176\) | 1.12689 | + | 0.886619i | 0.0849422 | + | 0.0668314i | ||||
\(177\) | −3.66249 | − | 3.17357i | −0.275290 | − | 0.238540i | ||||
\(178\) | −1.16349 | + | 0.828416i | −0.0872074 | + | 0.0620924i | ||||
\(179\) | 2.14269 | − | 7.29734i | 0.160152 | − | 0.545429i | −0.839844 | − | 0.542827i | \(-0.817354\pi\) |
0.999997 | − | 0.00260139i | \(-0.000828049\pi\) | |||||||
\(180\) | −2.69837 | + | 7.08158i | −0.201125 | + | 0.527830i | ||||
\(181\) | 15.0385 | − | 2.16221i | 1.11781 | − | 0.160716i | 0.441446 | − | 0.897288i | \(-0.354466\pi\) |
0.676359 | + | 0.736572i | \(0.263557\pi\) | |||||||
\(182\) | 16.3903 | − | 8.44858i | 1.21493 | − | 0.626250i | ||||
\(183\) | − | 3.78048i | − | 0.279461i | ||||||
\(184\) | −7.24604 | + | 11.4671i | −0.534185 | + | 0.845368i | ||||
\(185\) | −22.2993 | + | 5.80953i | −1.63948 | + | 0.427125i | ||||
\(186\) | 5.16011 | + | 10.0107i | 0.378358 | + | 0.734017i | ||||
\(187\) | 0.298346 | + | 2.07504i | 0.0218172 | + | 0.151742i | ||||
\(188\) | 10.3289 | − | 14.5013i | 0.753313 | − | 1.05762i | ||||
\(189\) | 4.61201 | − | 15.7071i | 0.335474 | − | 1.14252i | ||||
\(190\) | 11.4632 | + | 9.60049i | 0.831626 | + | 0.696493i | ||||
\(191\) | 2.20630 | − | 2.54621i | 0.159642 | − | 0.184237i | −0.670293 | − | 0.742096i | \(-0.733832\pi\) |
0.829936 | + | 0.557859i | \(0.188377\pi\) | |||||||
\(192\) | −1.30400 | + | 9.04701i | −0.0941083 | + | 0.652912i | ||||
\(193\) | 3.91316 | + | 13.3270i | 0.281675 | + | 0.959298i | 0.971839 | + | 0.235645i | \(0.0757203\pi\) |
−0.690164 | + | 0.723653i | \(0.742461\pi\) | |||||||
\(194\) | 12.3447 | − | 2.37849i | 0.886296 | − | 0.170766i | ||||
\(195\) | −8.02542 | − | 7.39796i | −0.574712 | − | 0.529779i | ||||
\(196\) | 4.11413 | + | 2.12159i | 0.293866 | + | 0.151542i | ||||
\(197\) | 3.70745 | − | 3.21252i | 0.264145 | − | 0.228883i | −0.512711 | − | 0.858561i | \(-0.671359\pi\) |
0.776856 | + | 0.629678i | \(0.216813\pi\) | |||||||
\(198\) | 0.202577 | − | 0.834820i | 0.0143965 | − | 0.0593281i | ||||
\(199\) | 2.29897 | − | 15.9897i | 0.162969 | − | 1.13348i | −0.730028 | − | 0.683417i | \(-0.760493\pi\) |
0.892998 | − | 0.450061i | \(-0.148598\pi\) | |||||||
\(200\) | −2.87132 | + | 13.8476i | −0.203033 | + | 0.979172i | ||||
\(201\) | 9.56045 | + | 4.36611i | 0.674342 | + | 0.307962i | ||||
\(202\) | 11.0662 | − | 10.5503i | 0.778614 | − | 0.742320i | ||||
\(203\) | 4.43309 | − | 2.02452i | 0.311142 | − | 0.142094i | ||||
\(204\) | −10.5057 | + | 8.25977i | −0.735545 | + | 0.578300i | ||||
\(205\) | 21.0528 | + | 6.89125i | 1.47039 | + | 0.481306i | ||||
\(206\) | 20.3244 | + | 11.7359i | 1.41607 | + | 0.817678i | ||||
\(207\) | 8.05287 | + | 1.09353i | 0.559713 | + | 0.0760059i | ||||
\(208\) | 14.7976 | + | 8.54800i | 1.02603 | + | 0.592697i | ||||
\(209\) | −1.42589 | − | 0.916362i | −0.0986307 | − | 0.0633861i | ||||
\(210\) | 1.38571 | − | 10.9396i | 0.0956233 | − | 0.754907i | ||||
\(211\) | −6.15438 | + | 2.81061i | −0.423685 | + | 0.193491i | −0.615835 | − | 0.787875i | \(-0.711181\pi\) |
0.192150 | + | 0.981366i | \(0.438454\pi\) | |||||||
\(212\) | 4.17707 | + | 17.2269i | 0.286883 | + | 1.18315i | ||||
\(213\) | 7.45762 | + | 3.40578i | 0.510988 | + | 0.233360i | ||||
\(214\) | −17.2392 | + | 5.96542i | −1.17845 | + | 0.407788i | ||||
\(215\) | −13.9374 | + | 1.56839i | −0.950521 | + | 0.106963i | ||||
\(216\) | 14.5574 | − | 4.27166i | 0.990504 | − | 0.290650i | ||||
\(217\) | 13.9303 | + | 16.0764i | 0.945652 | + | 1.09134i | ||||
\(218\) | 8.40080 | − | 0.399687i | 0.568974 | − | 0.0270702i | ||||
\(219\) | −4.21594 | − | 6.56014i | −0.284887 | − | 0.443293i | ||||
\(220\) | 0.125645 | − | 1.59818i | 0.00847101 | − | 0.107749i | ||||
\(221\) | 7.03911 | + | 23.9730i | 0.473502 | + | 1.61260i | ||||
\(222\) | 13.0886 | + | 10.2942i | 0.878451 | + | 0.690904i | ||||
\(223\) | −17.7747 | + | 20.5131i | −1.19028 | + | 1.37366i | −0.279827 | + | 0.960050i | \(0.590277\pi\) |
−0.910455 | + | 0.413608i | \(0.864268\pi\) | |||||||
\(224\) | 1.63607 | + | 17.1868i | 0.109315 | + | 1.14834i | ||||
\(225\) | 8.26085 | − | 1.88305i | 0.550723 | − | 0.125537i | ||||
\(226\) | 13.5009 | + | 1.28998i | 0.898068 | + | 0.0858081i | ||||
\(227\) | 1.00520 | − | 0.144526i | 0.0667175 | − | 0.00959252i | −0.108875 | − | 0.994055i | \(-0.534725\pi\) |
0.175593 | + | 0.984463i | \(0.443816\pi\) | |||||||
\(228\) | 0.515380 | − | 10.7926i | 0.0341318 | − | 0.714757i | ||||
\(229\) | − | 21.5838i | − | 1.42630i | −0.701011 | − | 0.713150i | \(-0.747268\pi\) | ||
0.701011 | − | 0.713150i | \(-0.252732\pi\) | |||||||
\(230\) | 15.1612 | − | 0.373533i | 0.999697 | − | 0.0246300i | ||||
\(231\) | 1.24999i | 0.0822434i | ||||||||
\(232\) | 3.79913 | + | 2.44249i | 0.249425 | + | 0.160358i | ||||
\(233\) | −9.95533 | + | 1.43136i | −0.652195 | + | 0.0937715i | −0.460467 | − | 0.887677i | \(-0.652318\pi\) |
−0.191728 | + | 0.981448i | \(0.561409\pi\) | |||||||
\(234\) | 0.973808 | − | 10.1919i | 0.0636598 | − | 0.666264i | ||||
\(235\) | −19.8958 | − | 0.611786i | −1.29786 | − | 0.0399085i | ||||
\(236\) | −0.805372 | − | 8.44467i | −0.0524252 | − | 0.549701i | ||||
\(237\) | 1.44220 | − | 1.66438i | 0.0936807 | − | 0.108113i | ||||
\(238\) | −15.6045 | + | 19.8403i | −1.01149 | + | 1.28606i | ||||
\(239\) | 5.50836 | + | 18.7598i | 0.356306 | + | 1.21347i | 0.921457 | + | 0.388480i | \(0.127000\pi\) |
−0.565151 | + | 0.824988i | \(0.691182\pi\) | |||||||
\(240\) | 9.22402 | − | 4.39925i | 0.595408 | − | 0.283971i | ||||
\(241\) | −11.2519 | − | 17.5084i | −0.724802 | − | 1.12781i | −0.986674 | − | 0.162711i | \(-0.947976\pi\) |
0.261872 | − | 0.965103i | \(-0.415660\pi\) | |||||||
\(242\) | −0.730656 | − | 15.3573i | −0.0469684 | − | 0.987202i | ||||
\(243\) | −9.75588 | − | 11.2589i | −0.625840 | − | 0.722258i | ||||
\(244\) | 4.56719 | − | 4.78881i | 0.292384 | − | 0.306572i | ||||
\(245\) | −0.578733 | − | 5.14286i | −0.0369739 | − | 0.328565i | ||||
\(246\) | −5.23465 | − | 15.1274i | −0.333749 | − | 0.964487i | ||||
\(247\) | −18.3753 | − | 8.39173i | −1.16919 | − | 0.533953i | ||||
\(248\) | −5.55743 | + | 18.9146i | −0.352897 | + | 1.20108i | ||||
\(249\) | 2.51284 | − | 1.14757i | 0.159245 | − | 0.0727246i | ||||
\(250\) | 14.6616 | − | 5.91937i | 0.927278 | − | 0.374374i | ||||
\(251\) | −4.14610 | − | 2.66454i | −0.261699 | − | 0.168184i | 0.403211 | − | 0.915107i | \(-0.367894\pi\) |
−0.664911 | + | 0.746923i | \(0.731530\pi\) | |||||||
\(252\) | 8.95826 | − | 5.17065i | 0.564317 | − | 0.325721i | ||||
\(253\) | −1.69968 | + | 0.257977i | −0.106858 | + | 0.0162189i | ||||
\(254\) | 11.1187 | − | 19.2556i | 0.697651 | − | 1.20820i | ||||
\(255\) | 14.1999 | + | 4.64807i | 0.889232 | + | 0.291073i | ||||
\(256\) | −12.5815 | + | 9.88466i | −0.786342 | + | 0.617791i | ||||
\(257\) | −24.0500 | + | 10.9832i | −1.50019 | + | 0.685116i | −0.985095 | − | 0.172014i | \(-0.944973\pi\) |
−0.515100 | + | 0.857130i | \(0.672245\pi\) | |||||||
\(258\) | 6.99352 | + | 7.33545i | 0.435398 | + | 0.456685i | ||||
\(259\) | 28.6096 | + | 13.0656i | 1.77771 | + | 0.811855i | ||||
\(260\) | −1.22850 | − | 19.0666i | −0.0761885 | − | 1.18246i | ||||
\(261\) | 0.385093 | − | 2.67838i | 0.0238367 | − | 0.165788i | ||||
\(262\) | −0.691696 | − | 0.167846i | −0.0427331 | − | 0.0103696i | ||||
\(263\) | −2.80107 | + | 2.42714i | −0.172722 | + | 0.149664i | −0.736932 | − | 0.675967i | \(-0.763726\pi\) |
0.564210 | + | 0.825631i | \(0.309181\pi\) | |||||||
\(264\) | −0.974650 | + | 0.626128i | −0.0599856 | + | 0.0385355i | ||||
\(265\) | 13.4325 | − | 14.5718i | 0.825151 | − | 0.895137i | ||||
\(266\) | −3.86111 | − | 20.0396i | −0.236740 | − | 1.22871i | ||||
\(267\) | −0.325099 | − | 1.10719i | −0.0198957 | − | 0.0677587i | ||||
\(268\) | 6.83572 | + | 17.0806i | 0.417558 | + | 1.04336i | ||||
\(269\) | 1.80382 | − | 2.08171i | 0.109981 | − | 0.126924i | −0.698090 | − | 0.716010i | \(-0.745966\pi\) |
0.808071 | + | 0.589086i | \(0.200512\pi\) | |||||||
\(270\) | −13.0037 | − | 10.8907i | −0.791383 | − | 0.662789i | ||||
\(271\) | −6.90623 | + | 23.5205i | −0.419524 | + | 1.42877i | 0.430772 | + | 0.902461i | \(0.358241\pi\) |
−0.850295 | + | 0.526306i | \(0.823577\pi\) | |||||||
\(272\) | −23.2864 | − | 2.22907i | −1.41194 | − | 0.135157i | ||||
\(273\) | 2.12016 | + | 14.7460i | 0.128318 | + | 0.892470i | ||||
\(274\) | −17.6806 | + | 9.11365i | −1.06812 | + | 0.550576i | ||||
\(275\) | −1.56449 | + | 0.874535i | −0.0943424 | + | 0.0527364i | ||||
\(276\) | −6.84070 | − | 8.56191i | −0.411762 | − | 0.515366i | ||||
\(277\) | 8.44466i | 0.507390i | 0.967284 | + | 0.253695i | \(0.0816460\pi\) | ||||
−0.967284 | + | 0.253695i | \(0.918354\pi\) | |||||||
\(278\) | −3.98163 | − | 7.72439i | −0.238802 | − | 0.463278i | ||||
\(279\) | 11.6908 | − | 1.68088i | 0.699910 | − | 0.100632i | ||||
\(280\) | 14.9715 | − | 12.1834i | 0.894715 | − | 0.728096i | ||||
\(281\) | 0.702341 | − | 2.39195i | 0.0418981 | − | 0.142692i | −0.935888 | − | 0.352299i | \(-0.885400\pi\) |
0.977786 | + | 0.209607i | \(0.0672183\pi\) | |||||||
\(282\) | 8.34281 | + | 11.7173i | 0.496807 | + | 0.697755i | ||||
\(283\) | 0.295803 | + | 0.256315i | 0.0175837 | + | 0.0152363i | 0.663608 | − | 0.748080i | \(-0.269024\pi\) |
−0.646025 | + | 0.763317i | \(0.723570\pi\) | |||||||
\(284\) | 5.33220 | + | 13.3237i | 0.316408 | + | 0.790616i | ||||
\(285\) | −10.3585 | + | 6.21564i | −0.613583 | + | 0.368183i | ||||
\(286\) | 0.409759 | + | 2.12670i | 0.0242296 | + | 0.125754i | ||||
\(287\) | −16.3462 | − | 25.4351i | −0.964883 | − | 1.50139i | ||||
\(288\) | 8.51893 | + | 4.39497i | 0.501983 | + | 0.258976i | ||||
\(289\) | −11.2646 | − | 13.0000i | −0.662621 | − | 0.764705i | ||||
\(290\) | −0.0848386 | − | 5.04894i | −0.00498189 | − | 0.296484i | ||||
\(291\) | −1.44547 | + | 10.0535i | −0.0847352 | + | 0.589346i | ||||
\(292\) | 2.58487 | − | 13.4031i | 0.151268 | − | 0.784359i | ||||
\(293\) | 9.20169 | − | 20.1489i | 0.537568 | − | 1.17711i | −0.424781 | − | 0.905296i | \(-0.639649\pi\) |
0.962350 | − | 0.271814i | \(-0.0876237\pi\) | |||||||
\(294\) | −2.70677 | + | 2.58059i | −0.157862 | + | 0.150503i | ||||
\(295\) | −7.35524 | + | 5.98764i | −0.428238 | + | 0.348614i | ||||
\(296\) | 4.14316 | + | 28.8522i | 0.240816 | + | 1.67700i | ||||
\(297\) | 1.61752 | + | 1.03951i | 0.0938578 | + | 0.0603188i | ||||
\(298\) | −17.7013 | − | 10.2213i | −1.02541 | − | 0.592101i | ||||
\(299\) | −19.6133 | + | 5.92621i | −1.13427 | + | 0.342722i | ||||
\(300\) | −9.81396 | − | 5.85075i | −0.566609 | − | 0.337793i | ||||
\(301\) | 16.1040 | + | 10.3494i | 0.928221 | + | 0.596531i | ||||
\(302\) | −7.73375 | + | 19.3147i | −0.445027 | + | 1.11144i | ||||
\(303\) | 5.13147 | + | 11.2364i | 0.294795 | + | 0.645512i | ||||
\(304\) | 13.6914 | − | 13.0486i | 0.785253 | − | 0.748387i | ||||
\(305\) | −7.28751 | − | 1.27752i | −0.417282 | − | 0.0731506i | ||||
\(306\) | 4.58307 | + | 13.2444i | 0.261997 | + | 0.757132i | ||||
\(307\) | 2.37149 | − | 16.4941i | 0.135348 | − | 0.941366i | −0.803075 | − | 0.595878i | \(-0.796804\pi\) |
0.938423 | − | 0.345488i | \(-0.112287\pi\) | |||||||
\(308\) | −1.51011 | + | 1.58339i | −0.0860466 | + | 0.0902219i | ||||
\(309\) | −14.3300 | + | 12.4170i | −0.815203 | + | 0.706378i | ||||
\(310\) | 21.0409 | − | 6.56412i | 1.19505 | − | 0.372817i | ||||
\(311\) | −10.1798 | − | 15.8401i | −0.577246 | − | 0.898212i | 0.422722 | − | 0.906260i | \(-0.361075\pi\) |
−0.999968 | + | 0.00804739i | \(0.997438\pi\) | |||||||
\(312\) | −10.4358 | + | 9.03951i | −0.590813 | + | 0.511761i | ||||
\(313\) | 6.09461 | − | 1.78954i | 0.344488 | − | 0.101151i | −0.104912 | − | 0.994482i | \(-0.533456\pi\) |
0.449400 | + | 0.893331i | \(0.351638\pi\) | |||||||
\(314\) | −5.41579 | − | 4.25954i | −0.305631 | − | 0.240380i | ||||
\(315\) | −10.3666 | − | 5.12501i | −0.584093 | − | 0.288762i | ||||
\(316\) | 3.83760 | − | 0.365993i | 0.215882 | − | 0.0205887i | ||||
\(317\) | 3.03243 | − | 10.3275i | 0.170318 | − | 0.580050i | −0.829451 | − | 0.558579i | \(-0.811347\pi\) |
0.999769 | − | 0.0214711i | \(-0.00683499\pi\) | |||||||
\(318\) | −14.2562 | − | 1.36215i | −0.799450 | − | 0.0763854i | ||||
\(319\) | 0.0814628 | + | 0.566586i | 0.00456104 | + | 0.0317227i | ||||
\(320\) | 16.9990 | + | 5.57090i | 0.950271 | + | 0.311423i | ||||
\(321\) | − | 14.7381i | − | 0.822600i | ||||||
\(322\) | −16.3698 | − | 12.6687i | −0.912253 | − | 0.705998i | ||||
\(323\) | 27.6524 | 1.53862 | ||||||||
\(324\) | −0.0996762 | + | 2.08733i | −0.00553756 | + | 0.115963i | ||||
\(325\) | −16.9728 | + | 12.9704i | −0.941482 | + | 0.719468i | ||||
\(326\) | 29.7029 | + | 2.83804i | 1.64509 | + | 0.157184i | ||||
\(327\) | −1.91432 | + | 6.51956i | −0.105862 | + | 0.360533i | ||||
\(328\) | 11.6445 | − | 25.4861i | 0.642961 | − | 1.40724i | ||||
\(329\) | 20.5324 | + | 17.7914i | 1.13199 | + | 0.980873i | ||||
\(330\) | 1.18700 | + | 0.518165i | 0.0653424 | + | 0.0285240i | ||||
\(331\) | −6.35053 | − | 21.6279i | −0.349057 | − | 1.18878i | −0.927740 | − | 0.373226i | \(-0.878252\pi\) |
0.578684 | − | 0.815552i | \(-0.303567\pi\) | |||||||
\(332\) | 4.56944 | + | 1.58210i | 0.250781 | + | 0.0868289i | ||||
\(333\) | 14.6909 | − | 9.44126i | 0.805056 | − | 0.517378i | ||||
\(334\) | −0.804229 | − | 16.9036i | −0.0440054 | − | 0.924926i | ||||
\(335\) | 11.6471 | − | 16.9539i | 0.636350 | − | 0.926293i | ||||
\(336\) | −13.5543 | − | 3.29159i | −0.739447 | − | 0.179571i | ||||
\(337\) | 2.69724 | − | 18.7597i | 0.146928 | − | 1.02191i | −0.774282 | − | 0.632841i | \(-0.781889\pi\) |
0.921210 | − | 0.389066i | \(-0.127202\pi\) | |||||||
\(338\) | 2.42900 | + | 7.01947i | 0.132120 | + | 0.381809i | ||||
\(339\) | −4.55181 | + | 9.96708i | −0.247220 | + | 0.541337i | ||||
\(340\) | 12.3720 | + | 23.0427i | 0.670964 | + | 1.24966i | ||||
\(341\) | −2.27272 | + | 1.03792i | −0.123075 | + | 0.0562064i | ||||
\(342\) | −10.5194 | − | 4.21203i | −0.568822 | − | 0.227761i | ||||
\(343\) | 7.73119 | − | 12.0300i | 0.417445 | − | 0.649557i | ||||
\(344\) | −0.00311113 | + | 17.7408i | −0.000167741 | + | 0.956521i | ||||
\(345\) | −3.72036 | + | 11.6741i | −0.200297 | + | 0.628515i | ||||
\(346\) | −2.44280 | − | 1.41054i | −0.131326 | − | 0.0758312i | ||||
\(347\) | 5.99164 | + | 3.85059i | 0.321648 | + | 0.206711i | 0.691494 | − | 0.722383i | \(-0.256953\pi\) |
−0.369845 | + | 0.929093i | \(0.620589\pi\) | |||||||
\(348\) | −2.86856 | + | 2.25531i | −0.153771 | + | 0.120898i | ||||
\(349\) | −3.89873 | − | 8.53702i | −0.208694 | − | 0.456976i | 0.776121 | − | 0.630584i | \(-0.217185\pi\) |
−0.984815 | + | 0.173608i | \(0.944457\pi\) | |||||||
\(350\) | −20.6197 | − | 6.36798i | −1.10217 | − | 0.340383i | ||||
\(351\) | 20.8448 | + | 9.51952i | 1.11261 | + | 0.508114i | ||||
\(352\) | −1.99103 | − | 0.384344i | −0.106122 | − | 0.0204856i | ||||
\(353\) | −7.63217 | − | 1.09734i | −0.406220 | − | 0.0584056i | −0.0638234 | − | 0.997961i | \(-0.520329\pi\) |
−0.342396 | + | 0.939556i | \(0.611239\pi\) | |||||||
\(354\) | 6.66024 | + | 1.61617i | 0.353988 | + | 0.0858984i | ||||
\(355\) | 9.08534 | − | 13.2249i | 0.482200 | − | 0.701906i | ||||
\(356\) | 0.925779 | − | 1.79524i | 0.0490662 | − | 0.0951478i | ||||
\(357\) | −11.0253 | − | 17.1557i | −0.583521 | − | 0.907976i | ||||
\(358\) | 2.03491 | + | 10.5614i | 0.107548 | + | 0.558189i | ||||
\(359\) | 16.1026 | − | 4.72816i | 0.849864 | − | 0.249543i | 0.172335 | − | 0.985038i | \(-0.444869\pi\) |
0.677529 | + | 0.735496i | \(0.263051\pi\) | |||||||
\(360\) | −1.19660 | − | 10.6503i | −0.0630662 | − | 0.561318i | ||||
\(361\) | −2.19862 | + | 2.53734i | −0.115717 | + | 0.133544i | ||||
\(362\) | −17.5030 | + | 12.4623i | −0.919939 | + | 0.655005i | ||||
\(363\) | 11.9182 | + | 3.49951i | 0.625545 | + | 0.183676i | ||||
\(364\) | −15.1290 | + | 21.2404i | −0.792974 | + | 1.11330i | ||||
\(365\) | −14.0704 | + | 5.91010i | −0.736481 | + | 0.309349i | ||||
\(366\) | 2.44959 | + | 4.75222i | 0.128042 | + | 0.248403i | ||||
\(367\) | 16.5077i | 0.861696i | 0.902424 | + | 0.430848i | \(0.141786\pi\) | ||||
−0.902424 | + | 0.430848i | \(0.858214\pi\) | |||||||
\(368\) | 1.67836 | − | 19.1098i | 0.0874908 | − | 0.996165i | ||||
\(369\) | −16.7873 | −0.873914 | ||||||||
\(370\) | 24.2669 | − | 21.7518i | 1.26157 | − | 1.13082i | ||||
\(371\) | −26.7744 | + | 3.84957i | −1.39006 | + | 0.199860i | ||||
\(372\) | −12.9729 | − | 9.24028i | −0.672616 | − | 0.479086i | ||||
\(373\) | −12.7182 | − | 3.73439i | −0.658522 | − | 0.193359i | −0.0646362 | − | 0.997909i | \(-0.520589\pi\) |
−0.593886 | + | 0.804549i | \(0.702407\pi\) | |||||||
\(374\) | −1.71957 | − | 2.41510i | −0.0889169 | − | 0.124882i | ||||
\(375\) | 0.645850 | + | 12.7579i | 0.0333516 | + | 0.658815i | ||||
\(376\) | −3.58762 | + | 24.9215i | −0.185018 | + | 1.28523i | ||||
\(377\) | 1.92202 | + | 6.54578i | 0.0989888 | + | 0.337125i | ||||
\(378\) | 4.38001 | + | 22.7328i | 0.225284 | + | 1.16925i | ||||
\(379\) | −4.33045 | + | 2.78301i | −0.222440 | + | 0.142954i | −0.647115 | − | 0.762392i | \(-0.724025\pi\) |
0.424675 | + | 0.905346i | \(0.360388\pi\) | |||||||
\(380\) | −20.6304 | − | 4.64058i | −1.05832 | − | 0.238056i | ||||
\(381\) | 11.7640 | + | 13.5764i | 0.602688 | + | 0.695539i | ||||
\(382\) | −1.12358 | + | 4.63027i | −0.0574873 | + | 0.236905i | ||||
\(383\) | 2.45696 | + | 0.353258i | 0.125545 | + | 0.0180506i | 0.204801 | − | 0.978804i | \(-0.434345\pi\) |
−0.0792560 | + | 0.996854i | \(0.525254\pi\) | |||||||
\(384\) | −4.22289 | − | 12.2174i | −0.215498 | − | 0.623467i | ||||
\(385\) | 2.40957 | + | 0.422404i | 0.122803 | + | 0.0215277i | ||||
\(386\) | −13.5543 | − | 14.2170i | −0.689897 | − | 0.723628i | ||||
\(387\) | 9.66827 | − | 4.41535i | 0.491466 | − | 0.224445i | ||||
\(388\) | −13.9766 | + | 10.9887i | −0.709554 | + | 0.557866i | ||||
\(389\) | 11.5113 | − | 17.9120i | 0.583648 | − | 0.908174i | −0.416351 | − | 0.909204i | \(-0.636691\pi\) |
0.999999 | + | 0.00102965i | \(0.000327747\pi\) | |||||||
\(390\) | 14.8818 | + | 4.09941i | 0.753571 | + | 0.207582i | ||||
\(391\) | 21.0520 | − | 18.5323i | 1.06465 | − | 0.937218i | ||||
\(392\) | −6.54632 | − | 0.00114800i | −0.330639 | − | 5.79828e-5i | ||||
\(393\) | 0.310895 | − | 0.483762i | 0.0156826 | − | 0.0244025i | ||||
\(394\) | −2.57884 | + | 6.44054i | −0.129920 | + | 0.324470i | ||||
\(395\) | −2.72102 | − | 3.34251i | −0.136910 | − | 0.168180i | ||||
\(396\) | 0.286280 | + | 1.18066i | 0.0143861 | + | 0.0593306i | ||||
\(397\) | −13.0969 | − | 5.98116i | −0.657315 | − | 0.300186i | 0.0586948 | − | 0.998276i | \(-0.481306\pi\) |
−0.716010 | + | 0.698090i | \(0.754033\pi\) | |||||||
\(398\) | 7.47072 | + | 21.5893i | 0.374473 | + | 1.08217i | ||||
\(399\) | 16.3202 | + | 2.34650i | 0.817034 | + | 0.117472i | ||||
\(400\) | −5.36326 | − | 19.2675i | −0.268163 | − | 0.963374i | ||||
\(401\) | −0.463048 | + | 0.401234i | −0.0231235 | + | 0.0200366i | −0.666346 | − | 0.745643i | \(-0.732143\pi\) |
0.643222 | + | 0.765679i | \(0.277597\pi\) | |||||||
\(402\) | −14.8469 | + | 0.706376i | −0.740497 | + | 0.0352308i | ||||
\(403\) | −25.0506 | + | 16.0991i | −1.24786 | + | 0.801951i | ||||
\(404\) | −7.07447 | + | 20.4326i | −0.351968 | + | 1.01656i | ||||
\(405\) | 2.00337 | − | 1.20213i | 0.0995480 | − | 0.0597341i | ||||
\(406\) | −4.26077 | + | 5.41736i | −0.211458 | + | 0.268859i | ||||
\(407\) | −2.41915 | + | 2.79185i | −0.119913 | + | 0.138387i | ||||
\(408\) | 7.85410 | − | 17.1901i | 0.388836 | − | 0.851037i | ||||
\(409\) | 16.9332 | + | 4.97204i | 0.837293 | + | 0.245851i | 0.672147 | − | 0.740418i | \(-0.265372\pi\) |
0.165146 | + | 0.986269i | \(0.447190\pi\) | |||||||
\(410\) | −30.9295 | + | 4.97873i | −1.52750 | + | 0.245882i | ||||
\(411\) | −2.28706 | − | 15.9068i | −0.112812 | − | 0.784626i | ||||
\(412\) | −33.1530 | − | 1.58316i | −1.63333 | − | 0.0779965i | ||||
\(413\) | 12.9449 | 0.636976 | ||||||||
\(414\) | −10.8313 | + | 3.84329i | −0.532332 | + | 0.188887i | ||||
\(415\) | −1.36299 | − | 5.23171i | −0.0669066 | − | 0.256815i | ||||
\(416\) | −24.1399 | − | 1.15700i | −1.18356 | − | 0.0567264i | ||||
\(417\) | 6.94947 | − | 0.999183i | 0.340317 | − | 0.0489302i | ||||
\(418\) | 2.38616 | + | 0.227992i | 0.116711 | + | 0.0111514i | ||||
\(419\) | 3.64113 | + | 1.06913i | 0.177881 | + | 0.0522305i | 0.369460 | − | 0.929247i | \(-0.379543\pi\) |
−0.191579 | + | 0.981477i | \(0.561361\pi\) | |||||||
\(420\) | 5.34651 | + | 14.6495i | 0.260883 | + | 0.714820i | ||||
\(421\) | −22.8979 | − | 19.8411i | −1.11597 | − | 0.966996i | −0.116317 | − | 0.993212i | \(-0.537109\pi\) |
−0.999656 | + | 0.0262158i | \(0.991654\pi\) | |||||||
\(422\) | 5.91516 | − | 7.52083i | 0.287945 | − | 0.366108i | ||||
\(423\) | 14.4737 | − | 4.24985i | 0.703734 | − | 0.206635i | ||||
\(424\) | −16.4131 | − | 18.9484i | −0.797088 | − | 0.920215i | ||||
\(425\) | 13.7584 | − | 25.8020i | 0.667382 | − | 1.25158i | ||||
\(426\) | −11.5813 | + | 0.551009i | −0.561118 | + | 0.0266965i | ||||
\(427\) | 6.61295 | + | 7.63175i | 0.320023 | + | 0.369326i | ||||
\(428\) | 17.8051 | − | 18.6690i | 0.860640 | − | 0.902402i | ||||
\(429\) | −1.73198 | − | 0.249021i | −0.0836209 | − | 0.0120229i | ||||
\(430\) | 16.5036 | − | 11.0023i | 0.795874 | − | 0.530580i | ||||
\(431\) | −13.3305 | + | 29.1898i | −0.642108 | + | 1.40602i | 0.256187 | + | 0.966627i | \(0.417534\pi\) |
−0.898295 | + | 0.439393i | \(0.855193\pi\) | |||||||
\(432\) | −15.5314 | + | 14.8022i | −0.747254 | + | 0.712171i | ||||
\(433\) | −6.25076 | − | 13.6873i | −0.300392 | − | 0.657767i | 0.697899 | − | 0.716196i | \(-0.254118\pi\) |
−0.998292 | + | 0.0584286i | \(0.981391\pi\) | |||||||
\(434\) | −27.9278 | − | 11.1825i | −1.34058 | − | 0.536777i | ||||
\(435\) | 3.87725 | + | 1.26915i | 0.185900 | + | 0.0608509i | ||||
\(436\) | −10.3012 | + | 5.94578i | −0.493336 | + | 0.284751i | ||||
\(437\) | 0.177573 | + | 22.6757i | 0.00849449 | + | 1.08473i | ||||
\(438\) | 9.55030 | + | 5.51461i | 0.456331 | + | 0.263498i | ||||
\(439\) | 9.58812 | − | 14.9194i | 0.457616 | − | 0.712064i | −0.533392 | − | 0.845868i | \(-0.679083\pi\) |
0.991008 | + | 0.133804i | \(0.0427192\pi\) | |||||||
\(440\) | 0.877608 | + | 2.09039i | 0.0418383 | + | 0.0996553i | ||||
\(441\) | 1.62925 | + | 3.56757i | 0.0775836 | + | 0.169884i | ||||
\(442\) | −24.3819 | − | 25.5740i | −1.15973 | − | 1.21643i | ||||
\(443\) | 6.54103 | − | 14.3228i | 0.310774 | − | 0.680499i | −0.688213 | − | 0.725509i | \(-0.741605\pi\) |
0.998987 | + | 0.0450096i | \(0.0143318\pi\) | |||||||
\(444\) | −23.1232 | − | 4.45943i | −1.09738 | − | 0.211635i | ||||
\(445\) | −2.24415 | + | 0.252537i | −0.106383 | + | 0.0119714i | ||||
\(446\) | 9.05193 | − | 37.3030i | 0.428621 | − | 1.76635i | ||||
\(447\) | 12.4805 | − | 10.8144i | 0.590309 | − | 0.511506i | ||||
\(448\) | −13.1929 | − | 20.5444i | −0.623307 | − | 0.970633i | ||||
\(449\) | −1.59056 | + | 1.02219i | −0.0750633 | + | 0.0482403i | −0.577634 | − | 0.816296i | \(-0.696024\pi\) |
0.502571 | + | 0.864536i | \(0.332388\pi\) | |||||||
\(450\) | −9.16409 | + | 7.71975i | −0.431999 | + | 0.363912i | ||||
\(451\) | 3.40735 | − | 1.00049i | 0.160446 | − | 0.0471112i | ||||
\(452\) | −17.8071 | + | 7.12646i | −0.837574 | + | 0.335200i | ||||
\(453\) | −12.7034 | − | 11.0076i | −0.596859 | − | 0.517182i | ||||
\(454\) | −1.16993 | + | 0.833001i | −0.0549076 | + | 0.0390947i | ||||
\(455\) | 29.1419 | + | 0.896097i | 1.36619 | + | 0.0420097i | ||||
\(456\) | 6.34528 | + | 13.9007i | 0.297145 | + | 0.650959i | ||||
\(457\) | −1.38022 | − | 9.59964i | −0.0645640 | − | 0.449052i | −0.996302 | − | 0.0859211i | \(-0.972617\pi\) |
0.931738 | − | 0.363131i | \(-0.118292\pi\) | |||||||
\(458\) | 13.9854 | + | 27.1318i | 0.653494 | + | 1.26778i | ||||
\(459\) | −31.3687 | −1.46417 | ||||||||
\(460\) | −18.8162 | + | 10.2933i | −0.877308 | + | 0.479928i | ||||
\(461\) | −6.23015 | −0.290167 | −0.145084 | − | 0.989419i | \(-0.546345\pi\) | ||||
−0.145084 | + | 0.989419i | \(0.546345\pi\) | |||||||
\(462\) | −0.809941 | − | 1.57129i | −0.0376818 | − | 0.0731031i | ||||
\(463\) | 3.27584 | + | 22.7840i | 0.152241 | + | 1.05886i | 0.912452 | + | 0.409185i | \(0.134187\pi\) |
−0.760210 | + | 0.649677i | \(0.774904\pi\) | |||||||
\(464\) | −6.35829 | − | 0.608644i | −0.295176 | − | 0.0282556i | ||||
\(465\) | −0.547306 | + | 17.7989i | −0.0253807 | + | 0.825404i | ||||
\(466\) | 11.5868 | − | 8.24990i | 0.536748 | − | 0.382169i | ||||
\(467\) | 9.78356 | + | 8.47750i | 0.452729 | + | 0.392292i | 0.851160 | − | 0.524906i | \(-0.175900\pi\) |
−0.398431 | + | 0.917198i | \(0.630445\pi\) | |||||||
\(468\) | 5.37978 | + | 13.4426i | 0.248681 | + | 0.621385i | ||||
\(469\) | −26.9372 | + | 7.90949i | −1.24385 | + | 0.365226i | ||||
\(470\) | 25.4063 | − | 12.1226i | 1.17190 | − | 0.559174i | ||||
\(471\) | 4.68298 | − | 3.00957i | 0.215780 | − | 0.138674i | ||||
\(472\) | 6.48416 | + | 10.0934i | 0.298458 | + | 0.464589i | ||||
\(473\) | −1.69924 | + | 1.47240i | −0.0781311 | + | 0.0677009i | ||||
\(474\) | −0.734452 | + | 3.02668i | −0.0337345 | + | 0.139020i | ||||
\(475\) | 8.48130 | + | 22.0681i | 0.389149 | + | 1.01256i | ||||
\(476\) | 6.75980 | − | 35.0511i | 0.309835 | − | 1.60656i | ||||
\(477\) | −6.23907 | + | 13.6617i | −0.285667 | + | 0.625524i | ||||
\(478\) | −19.0797 | − | 20.0126i | −0.872687 | − | 0.915355i | ||||
\(479\) | 2.14926 | + | 4.70623i | 0.0982023 | + | 0.215033i | 0.952357 | − | 0.304986i | \(-0.0986519\pi\) |
−0.854154 | + | 0.520020i | \(0.825925\pi\) | |||||||
\(480\) | −8.74445 | + | 11.5068i | −0.399128 | + | 0.525212i | ||||
\(481\) | −23.8031 | + | 37.0384i | −1.08533 | + | 1.68881i | ||||
\(482\) | 25.4888 | + | 14.7180i | 1.16098 | + | 0.670385i | ||||
\(483\) | 13.9973 | − | 9.15122i | 0.636901 | − | 0.416395i | ||||
\(484\) | 10.8693 | + | 18.8313i | 0.494059 | + | 0.855967i | ||||
\(485\) | 18.8913 | + | 6.18372i | 0.857811 | + | 0.280788i | ||||
\(486\) | 19.5588 | + | 7.83150i | 0.887206 | + | 0.355244i | ||||
\(487\) | −8.38950 | − | 18.3704i | −0.380164 | − | 0.832444i | −0.998902 | − | 0.0468463i | \(-0.985083\pi\) |
0.618738 | − | 0.785598i | \(-0.287644\pi\) | |||||||
\(488\) | −2.63820 | + | 8.97907i | −0.119426 | + | 0.406463i | ||||
\(489\) | −10.0143 | + | 21.9282i | −0.452862 | + | 0.991629i | ||||
\(490\) | 4.05984 | + | 6.08980i | 0.183405 | + | 0.275109i | ||||
\(491\) | −7.76409 | − | 1.11631i | −0.350388 | − | 0.0503782i | −0.0351262 | − | 0.999383i | \(-0.511183\pi\) |
−0.315262 | + | 0.949005i | \(0.602092\pi\) | |||||||
\(492\) | 16.3821 | + | 15.6239i | 0.738560 | + | 0.704381i | ||||
\(493\) | −6.11551 | − | 7.05767i | −0.275429 | − | 0.317862i | ||||
\(494\) | 28.5360 | − | 1.35767i | 1.28390 | − | 0.0610843i | ||||
\(495\) | 0.920609 | − | 0.998691i | 0.0413783 | − | 0.0448878i | ||||
\(496\) | −5.26992 | − | 27.3774i | −0.236627 | − | 1.22928i | ||||
\(497\) | −21.0124 | + | 6.16980i | −0.942535 | + | 0.276753i | ||||
\(498\) | −2.41516 | + | 3.07076i | −0.108226 | + | 0.137604i | ||||
\(499\) | −10.3416 | − | 8.96102i | −0.462952 | − | 0.401150i | 0.391912 | − | 0.920003i | \(-0.371814\pi\) |
−0.854864 | + | 0.518853i | \(0.826359\pi\) | |||||||
\(500\) | −14.5947 | + | 16.9409i | −0.652694 | + | 0.757622i | ||||
\(501\) | 13.1183 | + | 3.85188i | 0.586083 | + | 0.172089i | ||||
\(502\) | 6.93832 | + | 0.662939i | 0.309672 | + | 0.0295884i | ||||
\(503\) | −18.0810 | + | 2.59966i | −0.806194 | + | 0.115913i | −0.533076 | − | 0.846067i | \(-0.678964\pi\) |
−0.273118 | + | 0.961981i | \(0.588055\pi\) | |||||||
\(504\) | −7.91053 | + | 12.3043i | −0.352363 | + | 0.548076i | ||||
\(505\) | 23.3940 | − | 6.09472i | 1.04102 | − | 0.271211i | ||||
\(506\) | 1.96940 | − | 1.42560i | 0.0875507 | − | 0.0633758i | ||||
\(507\) | −6.00107 | −0.266517 | ||||||||
\(508\) | −1.49990 | + | 31.4095i | −0.0665473 | + | 1.39357i | ||||
\(509\) | 0.0664131 | + | 0.461913i | 0.00294371 | + | 0.0204740i | 0.991240 | − | 0.132070i | \(-0.0421624\pi\) |
−0.988297 | + | 0.152544i | \(0.951253\pi\) | |||||||
\(510\) | −20.8616 | + | 3.35810i | −0.923767 | + | 0.148699i | ||||
\(511\) | 19.9860 | + | 5.86843i | 0.884131 | + | 0.259604i | ||||
\(512\) | 9.41060 | − | 20.5777i | 0.415894 | − | 0.909413i | ||||
\(513\) | 16.6086 | − | 19.1674i | 0.733289 | − | 0.846260i | ||||
\(514\) | 23.1151 | − | 29.3897i | 1.01956 | − | 1.29632i | ||||
\(515\) | 19.0934 | + | 31.8194i | 0.841354 | + | 1.40213i | ||||
\(516\) | −13.5442 | − | 4.68947i | −0.596250 | − | 0.206442i | ||||
\(517\) | −2.68446 | + | 1.72520i | −0.118062 | + | 0.0758741i | ||||
\(518\) | −44.4294 | + | 2.11383i | −1.95211 | + | 0.0928763i | ||||
\(519\) | 1.72232 | − | 1.49240i | 0.0756016 | − | 0.0655092i | ||||
\(520\) | 13.8986 | + | 23.1715i | 0.609495 | + | 1.01614i | ||||
\(521\) | −26.6310 | − | 3.82897i | −1.16673 | − | 0.167750i | −0.468392 | − | 0.883521i | \(-0.655167\pi\) |
−0.698335 | + | 0.715771i | \(0.746076\pi\) | |||||||
\(522\) | 1.25140 | + | 3.61636i | 0.0547722 | + | 0.158284i | ||||
\(523\) | −1.78774 | − | 0.816433i | −0.0781723 | − | 0.0357001i | 0.375945 | − | 0.926642i | \(-0.377318\pi\) |
−0.454118 | + | 0.890942i | \(0.650045\pi\) | |||||||
\(524\) | 0.978247 | − | 0.237199i | 0.0427349 | − | 0.0103621i | ||||
\(525\) | 10.3096 | − | 14.0606i | 0.449948 | − | 0.613657i | ||||
\(526\) | 1.94838 | − | 4.86599i | 0.0849534 | − | 0.212167i | ||||
\(527\) | 22.0376 | − | 34.2912i | 0.959972 | − | 1.49375i | ||||
\(528\) | 0.819471 | − | 1.41860i | 0.0356629 | − | 0.0617366i | ||||
\(529\) | 15.3322 | + | 17.1442i | 0.666616 | + | 0.745401i | ||||
\(530\) | −7.44331 | + | 27.0210i | −0.323317 | + | 1.17372i | ||||
\(531\) | 3.88581 | − | 6.04644i | 0.168630 | − | 0.262393i | ||||
\(532\) | 17.8384 | + | 22.6888i | 0.773392 | + | 0.983684i | ||||
\(533\) | 38.4992 | − | 17.5820i | 1.66759 | − | 0.761561i | ||||
\(534\) | 1.12607 | + | 1.18113i | 0.0487299 | + | 0.0511124i | ||||
\(535\) | −28.4101 | − | 4.98038i | −1.22828 | − | 0.215321i | ||||
\(536\) | −19.6603 | − | 17.0417i | −0.849194 | − | 0.736091i | ||||
\(537\) | −8.60122 | − | 1.23667i | −0.371170 | − | 0.0533662i | ||||
\(538\) | −0.918610 | + | 3.78559i | −0.0396041 | + | 0.163209i | ||||
\(539\) | −0.543312 | − | 0.627015i | −0.0234021 | − | 0.0270075i | ||||
\(540\) | 23.4030 | + | 5.26424i | 1.00710 | + | 0.226537i | ||||
\(541\) | 6.97924 | − | 4.48529i | 0.300061 | − | 0.192838i | −0.381943 | − | 0.924186i | \(-0.624745\pi\) |
0.682004 | + | 0.731348i | \(0.261109\pi\) | |||||||
\(542\) | −6.55883 | − | 34.0411i | −0.281726 | − | 1.46219i | ||||
\(543\) | −4.89064 | − | 16.6560i | −0.209878 | − | 0.714777i | ||||
\(544\) | 30.7163 | − | 12.2865i | 1.31695 | − | 0.526780i | ||||
\(545\) | 11.9207 | + | 5.89329i | 0.510625 | + | 0.252441i | ||||
\(546\) | −12.2199 | − | 17.1626i | −0.522964 | − | 0.734491i | ||||
\(547\) | 36.7307 | + | 10.7851i | 1.57049 | + | 0.461138i | 0.947145 | − | 0.320807i | \(-0.103954\pi\) |
0.623347 | + | 0.781945i | \(0.285772\pi\) | |||||||
\(548\) | 16.3199 | − | 22.9125i | 0.697153 | − | 0.978772i | ||||
\(549\) | 5.54981 | − | 0.797942i | 0.236860 | − | 0.0340553i | ||||
\(550\) | 1.39997 | − | 2.11305i | 0.0596949 | − | 0.0901007i | ||||
\(551\) | 7.55043 | 0.321659 | ||||||||
\(552\) | 14.1468 | + | 6.33019i | 0.602127 | + | 0.269431i | ||||
\(553\) | 5.88267i | 0.250157i | ||||||||
\(554\) | −5.47177 | − | 10.6153i | −0.232473 | − | 0.451000i | ||||
\(555\) | 10.1961 | + | 24.2744i | 0.432802 | + | 1.03039i | ||||
\(556\) | 10.0101 | + | 7.12995i | 0.424524 | + | 0.302377i | ||||
\(557\) | −12.8731 | − | 3.77990i | −0.545452 | − | 0.160159i | −0.00261426 | − | 0.999997i | \(-0.500832\pi\) |
−0.542838 | + | 0.839837i | \(0.682650\pi\) | |||||||
\(558\) | −13.6067 | + | 9.68807i | −0.576016 | + | 0.410129i | ||||
\(559\) | −17.5483 | + | 20.2519i | −0.742216 | + | 0.856563i | ||||
\(560\) | −10.9254 | + | 25.0159i | −0.461684 | + | 1.05711i | ||||
\(561\) | 2.29822 | − | 0.674819i | 0.0970310 | − | 0.0284909i | ||||
\(562\) | 0.667011 | + | 3.46187i | 0.0281362 | + | 0.146030i | ||||
\(563\) | −4.50777 | − | 7.01423i | −0.189980 | − | 0.295615i | 0.733177 | − | 0.680038i | \(-0.238037\pi\) |
−0.923157 | + | 0.384423i | \(0.874400\pi\) | |||||||
\(564\) | −18.0796 | − | 9.32334i | −0.761287 | − | 0.392583i | ||||
\(565\) | 17.6750 | + | 12.1425i | 0.743594 | + | 0.510839i | ||||
\(566\) | −0.537918 | − | 0.130531i | −0.0226104 | − | 0.00548662i | ||||
\(567\) | −3.15639 | − | 0.453821i | −0.132556 | − | 0.0190587i | ||||
\(568\) | −15.3360 | − | 13.2934i | −0.643483 | − | 0.557779i | ||||
\(569\) | −3.59103 | − | 1.63997i | −0.150544 | − | 0.0687510i | 0.338718 | − | 0.940888i | \(-0.390007\pi\) |
−0.489262 | + | 0.872137i | \(0.662734\pi\) | |||||||
\(570\) | 8.99357 | − | 14.5252i | 0.376699 | − | 0.608392i | ||||
\(571\) | −9.44075 | − | 20.6724i | −0.395083 | − | 0.865111i | −0.997745 | − | 0.0671149i | \(-0.978621\pi\) |
0.602662 | − | 0.797996i | \(-0.294107\pi\) | |||||||
\(572\) | −1.89309 | − | 2.40784i | −0.0791542 | − | 0.100677i | ||||
\(573\) | −3.23834 | − | 2.08116i | −0.135284 | − | 0.0869416i | ||||
\(574\) | 37.0286 | + | 21.3814i | 1.54555 | + | 0.892442i | ||||
\(575\) | 21.2467 | + | 11.1166i | 0.886047 | + | 0.463595i | ||||
\(576\) | −13.5564 | − | 0.00475466i | −0.564850 | − | 0.000198111i | ||||
\(577\) | −10.7333 | + | 16.7014i | −0.446834 | + | 0.695287i | −0.989479 | − | 0.144675i | \(-0.953786\pi\) |
0.542646 | + | 0.839962i | \(0.317423\pi\) | |||||||
\(578\) | 22.5834 | + | 9.04258i | 0.939347 | + | 0.376122i | ||||
\(579\) | 14.4357 | − | 6.59254i | 0.599925 | − | 0.273977i | ||||
\(580\) | 3.37814 | + | 6.29175i | 0.140270 | + | 0.261251i | ||||
\(581\) | −3.06535 | + | 6.71218i | −0.127172 | + | 0.278468i | ||||
\(582\) | −4.69721 | − | 13.5743i | −0.194705 | − | 0.562671i | ||||
\(583\) | 0.452149 | − | 3.14476i | 0.0187261 | − | 0.130243i | ||||
\(584\) | 5.43536 | + | 18.5232i | 0.224917 | + | 0.766494i | ||||
\(585\) | 9.16641 | − | 13.3429i | 0.378985 | − | 0.551662i | ||||
\(586\) | 1.48871 | + | 31.2903i | 0.0614979 | + | 1.29259i | ||||
\(587\) | 16.0834 | − | 10.3362i | 0.663834 | − | 0.426620i | −0.164864 | − | 0.986316i | \(-0.552719\pi\) |
0.828698 | + | 0.559696i | \(0.189082\pi\) | |||||||
\(588\) | 1.73040 | − | 4.99778i | 0.0713606 | − | 0.206105i | ||||
\(589\) | 9.28497 | + | 31.6217i | 0.382580 | + | 1.30295i | ||||
\(590\) | 5.36610 | − | 12.2926i | 0.220919 | − | 0.506078i | ||||
\(591\) | −4.23600 | − | 3.67051i | −0.174246 | − | 0.150985i | ||||
\(592\) | −23.9031 | − | 33.5839i | −0.982412 | − | 1.38029i | ||||
\(593\) | −3.13509 | + | 10.6771i | −0.128743 | + | 0.438458i | −0.998484 | − | 0.0550513i | \(-0.982468\pi\) |
0.869741 | + | 0.493509i | \(0.164286\pi\) | |||||||
\(594\) | −2.70685 | − | 0.258632i | −0.111063 | − | 0.0106118i | ||||
\(595\) | −36.7962 | + | 15.4558i | −1.50850 | + | 0.633625i | ||||
\(596\) | 28.8742 | + | 1.37883i | 1.18273 | + | 0.0564792i | ||||
\(597\) | −18.4571 | −0.755398 | ||||||||
\(598\) | 20.8148 | − | 20.1581i | 0.851182 | − | 0.824325i | ||||
\(599\) | 35.8102i | 1.46316i | 0.681753 | + | 0.731582i | \(0.261218\pi\) | ||||
−0.681753 | + | 0.731582i | \(0.738782\pi\) | |||||||
\(600\) | 16.1276 | + | 0.995606i | 0.658406 | + | 0.0406454i | ||||
\(601\) | −3.48408 | − | 24.2323i | −0.142119 | − | 0.988456i | −0.928663 | − | 0.370923i | \(-0.879041\pi\) |
0.786545 | − | 0.617533i | \(-0.211868\pi\) | |||||||
\(602\) | −26.9494 | − | 2.57495i | −1.09838 | − | 0.104947i | ||||
\(603\) | −4.39161 | + | 14.9564i | −0.178840 | + | 0.609074i | ||||
\(604\) | −2.79345 | − | 29.2905i | −0.113664 | − | 1.19181i | ||||
\(605\) | 10.7734 | − | 21.7918i | 0.437999 | − | 0.885963i | ||||
\(606\) | −13.7311 | − | 10.7996i | −0.557789 | − | 0.438703i | ||||
\(607\) | −34.3355 | + | 10.0818i | −1.39363 | + | 0.409208i | −0.890493 | − | 0.454996i | \(-0.849641\pi\) |
−0.503141 | + | 0.864204i | \(0.667822\pi\) | |||||||
\(608\) | −8.75568 | + | 25.2740i | −0.355090 | + | 1.02500i | ||||
\(609\) | −3.01044 | − | 4.68433i | −0.121989 | − | 0.189819i | ||||
\(610\) | 9.98848 | − | 3.11610i | 0.404422 | − | 0.126167i | ||||
\(611\) | −28.7421 | + | 24.9052i | −1.16278 | + | 1.00756i | ||||
\(612\) | −14.3429 | − | 13.6791i | −0.579778 | − | 0.552946i | ||||
\(613\) | −3.81841 | + | 26.5576i | −0.154224 | + | 1.07265i | 0.754814 | + | 0.655939i | \(0.227727\pi\) |
−0.909038 | + | 0.416714i | \(0.863182\pi\) | |||||||
\(614\) | 7.70638 | + | 22.2703i | 0.311004 | + | 0.898757i | ||||
\(615\) | 4.37028 | − | 24.9299i | 0.176227 | − | 1.00527i | ||||
\(616\) | 0.872305 | − | 2.96887i | 0.0351462 | − | 0.119619i | ||||
\(617\) | −5.20001 | − | 11.3864i | −0.209345 | − | 0.458401i | 0.775610 | − | 0.631212i | \(-0.217442\pi\) |
−0.984955 | + | 0.172811i | \(0.944715\pi\) | |||||||
\(618\) | 9.96768 | − | 24.8939i | 0.400959 | − | 1.00138i | ||||
\(619\) | −12.7311 | − | 8.18176i | −0.511705 | − | 0.328853i | 0.259178 | − | 0.965830i | \(-0.416548\pi\) |
−0.770883 | + | 0.636977i | \(0.780185\pi\) | |||||||
\(620\) | −22.1961 | + | 21.8850i | −0.891416 | + | 0.878923i | ||||
\(621\) | −0.201438 | − | 25.7232i | −0.00808343 | − | 1.03224i | ||||
\(622\) | 23.0602 | + | 13.3156i | 0.924630 | + | 0.533907i | ||||
\(623\) | 2.59301 | + | 1.66643i | 0.103887 | + | 0.0667640i | ||||
\(624\) | 7.26108 | − | 18.1250i | 0.290676 | − | 0.725581i | ||||
\(625\) | 24.8113 | + | 3.06624i | 0.992450 | + | 0.122649i | ||||
\(626\) | −6.50163 | + | 6.19856i | −0.259857 | + | 0.247744i | ||||
\(627\) | −0.804490 | + | 1.76159i | −0.0321282 | + | 0.0703510i | ||||
\(628\) | 9.56787 | + | 1.84522i | 0.381800 | + | 0.0736322i | ||||
\(629\) | 8.57708 | − | 59.6549i | 0.341990 | − | 2.37860i | ||||
\(630\) | 16.3520 | − | 0.274768i | 0.651481 | − | 0.0109470i | ||||
\(631\) | 12.8366 | + | 14.8142i | 0.511018 | + | 0.589746i | 0.951359 | − | 0.308085i | \(-0.0996880\pi\) |
−0.440341 | + | 0.897830i | \(0.645143\pi\) | |||||||
\(632\) | −4.58687 | + | 2.94666i | −0.182456 | + | 0.117212i | ||||
\(633\) | 4.17934 | + | 6.50318i | 0.166114 | + | 0.258478i | ||||
\(634\) | 2.87989 | + | 14.9470i | 0.114375 | + | 0.593620i | ||||
\(635\) | 30.1461 | − | 18.0893i | 1.19631 | − | 0.717851i | ||||
\(636\) | 18.8033 | − | 7.52515i | 0.745599 | − | 0.298392i | ||||
\(637\) | −7.47290 | − | 6.47530i | −0.296087 | − | 0.256561i | ||||
\(638\) | −0.469525 | − | 0.659438i | −0.0185887 | − | 0.0261074i | ||||
\(639\) | −3.42567 | + | 11.6668i | −0.135518 | + | 0.461530i | ||||
\(640\) | −24.9781 | + | 4.01175i | −0.987346 | + | 0.158578i | ||||
\(641\) | 46.5788 | − | 6.69702i | 1.83975 | − | 0.264516i | 0.867328 | − | 0.497737i | \(-0.165836\pi\) |
0.972424 | + | 0.233221i | \(0.0749265\pi\) | |||||||
\(642\) | 9.54965 | + | 18.5264i | 0.376895 | + | 0.731178i | ||||
\(643\) | − | 47.4749i | − | 1.87223i | −0.351698 | − | 0.936113i | \(-0.614396\pi\) | ||
0.351698 | − | 0.936113i | \(-0.385604\pi\) | |||||||
\(644\) | 28.7863 | + | 5.31813i | 1.13434 | + | 0.209564i | ||||
\(645\) | 4.04001 | + | 15.5072i | 0.159075 | + | 0.610596i | ||||
\(646\) | −34.7602 | + | 17.9176i | −1.36762 | + | 0.704957i | ||||
\(647\) | −0.341819 | − | 2.37741i | −0.0134383 | − | 0.0934655i | 0.981998 | − | 0.188889i | \(-0.0604886\pi\) |
−0.995437 | + | 0.0954234i | \(0.969580\pi\) | |||||||
\(648\) | −1.22720 | − | 2.68844i | −0.0482090 | − | 0.105612i | ||||
\(649\) | −0.428355 | + | 1.45884i | −0.0168144 | + | 0.0572646i | ||||
\(650\) | 12.9313 | − | 27.3020i | 0.507206 | − | 1.07087i | ||||
\(651\) | 15.9163 | − | 18.3683i | 0.623808 | − | 0.719912i | ||||
\(652\) | −39.1767 | + | 15.6787i | −1.53428 | + | 0.614025i | ||||
\(653\) | −9.90787 | − | 33.7431i | −0.387725 | − | 1.32047i | −0.890079 | − | 0.455807i | \(-0.849351\pi\) |
0.502354 | − | 0.864662i | \(-0.332468\pi\) | |||||||
\(654\) | −1.81802 | − | 9.43575i | −0.0710902 | − | 0.368967i | ||||
\(655\) | −0.827472 | − | 0.762777i | −0.0323320 | − | 0.0298042i | ||||
\(656\) | 1.87626 | + | 39.5822i | 0.0732556 | + | 1.54543i | ||||
\(657\) | 8.74054 | − | 7.57372i | 0.341001 | − | 0.295479i | ||||
\(658\) | −37.3381 | − | 9.06044i | −1.45559 | − | 0.353213i | ||||
\(659\) | 3.69934 | − | 25.7294i | 0.144106 | − | 1.00228i | −0.781532 | − | 0.623865i | \(-0.785561\pi\) |
0.925637 | − | 0.378411i | \(-0.123530\pi\) | |||||||
\(660\) | −1.82786 | + | 0.117773i | −0.0711494 | + | 0.00458430i | ||||
\(661\) | −11.1977 | − | 5.11381i | −0.435539 | − | 0.198904i | 0.185565 | − | 0.982632i | \(-0.440588\pi\) |
−0.621104 | + | 0.783728i | \(0.713316\pi\) | |||||||
\(662\) | 21.9968 | + | 23.0723i | 0.854931 | + | 0.896731i | ||||
\(663\) | 25.9673 | − | 11.8589i | 1.00849 | − | 0.460560i | ||||
\(664\) | −6.76911 | + | 0.972039i | −0.262692 | + | 0.0377224i | ||||
\(665\) | 10.0383 | − | 30.6671i | 0.389268 | − | 1.18922i | ||||
\(666\) | −12.3495 | + | 21.3871i | −0.478534 | + | 0.828734i | ||||
\(667\) | 5.74821 | − | 5.06021i | 0.222572 | − | 0.195932i | ||||
\(668\) | 11.9638 | + | 20.7275i | 0.462892 | + | 0.801969i | ||||
\(669\) | 26.0892 | + | 16.7665i | 1.00867 | + | 0.648230i | ||||
\(670\) | −3.65549 | + | 28.8586i | −0.141224 | + | 1.11491i | ||||
\(671\) | −1.07890 | + | 0.492716i | −0.0416504 | + | 0.0190211i | ||||
\(672\) | 19.1711 | − | 4.64493i | 0.739541 | − | 0.179182i | ||||
\(673\) | −7.04292 | − | 3.21639i | −0.271485 | − | 0.123983i | 0.275021 | − | 0.961438i | \(-0.411315\pi\) |
−0.546506 | + | 0.837455i | \(0.684042\pi\) | |||||||
\(674\) | 8.76495 | + | 25.3294i | 0.337613 | + | 0.975654i | ||||
\(675\) | −9.62113 | − | 25.0339i | −0.370317 | − | 0.963557i | ||||
\(676\) | −7.60167 | − | 7.24987i | −0.292372 | − | 0.278841i | ||||
\(677\) | 6.87119 | + | 7.92978i | 0.264081 | + | 0.304766i | 0.872268 | − | 0.489028i | \(-0.162648\pi\) |
−0.608187 | + | 0.793794i | \(0.708103\pi\) | |||||||
\(678\) | −0.736420 | − | 15.4784i | −0.0282820 | − | 0.594444i | ||||
\(679\) | −14.6679 | − | 22.8237i | −0.562902 | − | 0.875893i | ||||
\(680\) | −30.4827 | − | 20.9491i | −1.16896 | − | 0.803360i | ||||
\(681\) | −0.326898 | − | 1.11331i | −0.0125268 | − | 0.0426623i | ||||
\(682\) | 2.18438 | − | 2.77733i | 0.0836442 | − | 0.106349i | ||||
\(683\) | −32.1467 | + | 37.0993i | −1.23006 | + | 1.41956i | −0.355477 | + | 0.934685i | \(0.615682\pi\) |
−0.874581 | + | 0.484879i | \(0.838864\pi\) | |||||||
\(684\) | 15.9525 | − | 1.52140i | 0.609959 | − | 0.0581721i | ||||
\(685\) | −31.4359 | − | 0.966637i | −1.20110 | − | 0.0369333i | ||||
\(686\) | −1.92353 | + | 20.1316i | −0.0734405 | + | 0.768629i | ||||
\(687\) | −24.4099 | + | 3.50961i | −0.931295 | + | 0.133900i | ||||
\(688\) | −11.4914 | − | 22.3029i | −0.438104 | − | 0.850292i | ||||
\(689\) | − | 37.8653i | − | 1.44255i | ||||||
\(690\) | −2.88770 | − | 17.0855i | −0.109933 | − | 0.650434i | ||||
\(691\) | 35.1658i | 1.33777i | 0.743365 | + | 0.668886i | \(0.233228\pi\) | ||||
−0.743365 | + | 0.668886i | \(0.766772\pi\) | |||||||
\(692\) | 3.98467 | + | 0.190280i | 0.151474 | + | 0.00723336i | ||||
\(693\) | −1.83501 | + | 0.263834i | −0.0697062 | + | 0.0100222i | ||||
\(694\) | −10.0268 | − | 0.958031i | −0.380611 | − | 0.0363664i | ||||
\(695\) | 0.422310 | − | 13.7339i | 0.0160191 | − | 0.520957i | ||||
\(696\) | 2.14455 | − | 4.69372i | 0.0812888 | − | 0.177915i | ||||
\(697\) | −37.9401 | + | 43.7853i | −1.43709 | + | 1.65848i | ||||
\(698\) | 10.4325 | + | 8.20518i | 0.394875 | + | 0.310571i | ||||
\(699\) | 3.23755 | + | 11.0261i | 0.122455 | + | 0.417044i | ||||
\(700\) | 30.0460 | − | 5.35587i | 1.13563 | − | 0.202433i | ||||
\(701\) | −27.1014 | − | 42.1706i | −1.02361 | − | 1.59276i | −0.782883 | − | 0.622169i | \(-0.786251\pi\) |
−0.240724 | − | 0.970594i | \(-0.577385\pi\) | |||||||
\(702\) | −32.3710 | + | 1.54013i | −1.22177 | + | 0.0581283i | ||||
\(703\) | 31.9100 | + | 36.8261i | 1.20351 | + | 1.38892i | ||||
\(704\) | 2.75185 | − | 0.806967i | 0.103714 | − | 0.0304137i | ||||
\(705\) | 2.54325 | + | 22.6003i | 0.0957842 | + | 0.851178i | ||||
\(706\) | 10.3050 | − | 3.56592i | 0.387833 | − | 0.134205i | ||||
\(707\) | −30.0140 | − | 13.7070i | −1.12879 | − | 0.515503i | ||||
\(708\) | −9.41940 | + | 2.28396i | −0.354003 | + | 0.0858363i | ||||
\(709\) | 22.0523 | − | 10.0709i | 0.828190 | − | 0.378222i | 0.0442212 | − | 0.999022i | \(-0.485919\pi\) |
0.783969 | + | 0.620800i | \(0.213192\pi\) | |||||||
\(710\) | −2.85147 | + | 22.5112i | −0.107014 | + | 0.844829i | ||||
\(711\) | 2.74775 | + | 1.76587i | 0.103049 | + | 0.0662253i | ||||
\(712\) | −0.000500943 | 2.85656i | −1.87736e−5 | 0.107054i | ||||||
\(713\) | 28.2612 | + | 17.8512i | 1.05839 | + | 0.668533i | ||||
\(714\) | 24.9754 | + | 14.4215i | 0.934681 | + | 0.539711i | ||||
\(715\) | −1.06531 | + | 3.25454i | −0.0398404 | + | 0.121713i | ||||
\(716\) | −9.40131 | − | 11.9576i | −0.351343 | − | 0.446877i | ||||
\(717\) | 20.3204 | − | 9.27999i | 0.758877 | − | 0.346568i | ||||
\(718\) | −17.1780 | + | 16.3773i | −0.641078 | + | 0.611195i | ||||
\(719\) | −3.64305 | − | 1.66372i | −0.135863 | − | 0.0620464i | 0.346324 | − | 0.938115i | \(-0.387430\pi\) |
−0.482186 | + | 0.876069i | \(0.660157\pi\) | |||||||
\(720\) | 8.40508 | + | 12.6125i | 0.313239 | + | 0.470039i | ||||
\(721\) | 7.20803 | − | 50.1329i | 0.268441 | − | 1.86705i | ||||
\(722\) | 1.11967 | − | 4.61416i | 0.0416697 | − | 0.171721i | ||||
\(723\) | −17.9712 | + | 15.5721i | −0.668356 | + | 0.579134i | ||||
\(724\) | 13.9270 | − | 27.0068i | 0.517593 | − | 1.00370i | ||||
\(725\) | 3.75671 | − | 7.04518i | 0.139521 | − | 0.261651i | ||||
\(726\) | −17.2492 | + | 3.32347i | −0.640179 | + | 0.123346i | ||||
\(727\) | 0.956968 | + | 3.25913i | 0.0354920 | + | 0.120875i | 0.975334 | − | 0.220736i | \(-0.0708459\pi\) |
−0.939842 | + | 0.341610i | \(0.889028\pi\) | |||||||
\(728\) | 5.25487 | − | 36.5030i | 0.194759 | − | 1.35289i | ||||
\(729\) | −13.1994 | + | 15.2329i | −0.488867 | + | 0.564183i | ||||
\(730\) | 13.8576 | − | 16.5463i | 0.512894 | − | 0.612405i | ||||
\(731\) | 10.3345 | − | 35.1959i | 0.382234 | − | 1.30177i | ||||
\(732\) | −6.15847 | − | 4.38651i | −0.227623 | − | 0.162130i | ||||
\(733\) | 4.18785 | + | 29.1271i | 0.154682 | + | 1.07583i | 0.908239 | + | 0.418452i | \(0.137427\pi\) |
−0.753557 | + | 0.657382i | \(0.771664\pi\) | |||||||
\(734\) | −10.6963 | − | 20.7509i | −0.394807 | − | 0.765929i | ||||
\(735\) | −5.72213 | + | 1.49076i | −0.211064 | + | 0.0549874i | ||||
\(736\) | 10.2725 | + | 25.1093i | 0.378650 | + | 0.925540i | ||||
\(737\) | − | 3.29746i | − | 0.121464i | ||||||
\(738\) | 21.1024 | − | 10.8775i | 0.776789 | − | 0.400405i | ||||
\(739\) | −17.5438 | + | 2.52242i | −0.645359 | + | 0.0927886i | −0.457220 | − | 0.889354i | \(-0.651155\pi\) |
−0.188139 | + | 0.982142i | \(0.560246\pi\) | |||||||
\(740\) | −16.4102 | + | 43.0668i | −0.603251 | + | 1.58317i | ||||
\(741\) | −6.50259 | + | 22.1458i | −0.238879 | + | 0.813546i | ||||
\(742\) | 31.1621 | − | 22.1877i | 1.14400 | − | 0.814536i | ||||
\(743\) | 37.2836 | + | 32.3064i | 1.36780 | + | 1.18521i | 0.962583 | + | 0.270986i | \(0.0873497\pi\) |
0.405218 | + | 0.914220i | \(0.367196\pi\) | |||||||
\(744\) | 22.2948 | + | 3.20950i | 0.817368 | + | 0.117666i | ||||
\(745\) | −16.6292 | − | 27.7128i | −0.609245 | − | 1.01532i | ||||
\(746\) | 18.4070 | − | 3.54654i | 0.673928 | − | 0.129848i | ||||
\(747\) | 2.21504 | + | 3.44667i | 0.0810441 | + | 0.126107i | ||||
\(748\) | 3.72645 | + | 1.92167i | 0.136252 | + | 0.0702632i | ||||
\(749\) | 25.7804 | + | 29.7521i | 0.941995 | + | 1.08712i | ||||
\(750\) | −9.07843 | − | 15.6187i | −0.331497 | − | 0.570315i | ||||
\(751\) | −6.54600 | + | 45.5285i | −0.238867 | + | 1.66136i | 0.418823 | + | 0.908068i | \(0.362443\pi\) |
−0.657690 | + | 0.753289i | \(0.728466\pi\) | |||||||
\(752\) | −11.6382 | − | 33.6519i | −0.424403 | − | 1.22716i | ||||
\(753\) | −2.33924 | + | 5.12222i | −0.0852467 | + | 0.186664i | ||||
\(754\) | −6.65744 | − | 6.98294i | −0.242450 | − | 0.254304i | ||||
\(755\) | −25.5118 | + | 20.7683i | −0.928469 | + | 0.755834i | ||||
\(756\) | −20.2357 | − | 25.7380i | −0.735966 | − | 0.936083i | ||||
\(757\) | 4.44479 | + | 2.85649i | 0.161549 | + | 0.103821i | 0.618917 | − | 0.785456i | \(-0.287572\pi\) |
−0.457369 | + | 0.889277i | \(0.651208\pi\) | |||||||
\(758\) | 3.64029 | − | 6.30431i | 0.132221 | − | 0.228983i | ||||
\(759\) | 0.568128 | + | 1.88027i | 0.0206218 | + | 0.0682495i | ||||
\(760\) | 28.9401 | − | 7.53420i | 1.04977 | − | 0.273294i | ||||
\(761\) | −14.9007 | − | 9.57610i | −0.540150 | − | 0.347134i | 0.241947 | − | 0.970289i | \(-0.422214\pi\) |
−0.782098 | + | 0.623156i | \(0.785850\pi\) | |||||||
\(762\) | −23.5847 | − | 9.44351i | −0.854385 | − | 0.342102i | ||||
\(763\) | −7.53977 | − | 16.5098i | −0.272958 | − | 0.597694i | ||||
\(764\) | −1.58783 | − | 6.54848i | −0.0574458 | − | 0.236916i | ||||
\(765\) | −3.82629 | + | 21.8267i | −0.138340 | + | 0.789148i | ||||
\(766\) | −3.31740 | + | 1.14794i | −0.119862 | + | 0.0414769i | ||||
\(767\) | −2.57886 | + | 17.9364i | −0.0931172 | + | 0.647644i | ||||
\(768\) | 13.2247 | + | 12.6215i | 0.477205 | + | 0.455440i | ||||
\(769\) | −24.6041 | + | 21.3196i | −0.887248 | + | 0.768805i | −0.973791 | − | 0.227443i | \(-0.926963\pi\) |
0.0865435 | + | 0.996248i | \(0.472418\pi\) | |||||||
\(770\) | −3.30263 | + | 1.03032i | −0.119018 | + | 0.0371300i | ||||
\(771\) | 16.3319 | + | 25.4130i | 0.588180 | + | 0.915226i | ||||
\(772\) | 26.2504 | + | 9.08877i | 0.944771 | + | 0.327112i | ||||
\(773\) | −37.8088 | + | 11.1017i | −1.35989 | + | 0.399299i | −0.878723 | − | 0.477332i | \(-0.841604\pi\) |
−0.481164 | + | 0.876631i | \(0.659786\pi\) | |||||||
\(774\) | −9.29245 | + | 11.8149i | −0.334010 | + | 0.424678i | ||||
\(775\) | 34.1254 | + | 7.06972i | 1.22582 | + | 0.253952i | ||||
\(776\) | 10.4490 | − | 22.8694i | 0.375096 | − | 0.820965i | ||||
\(777\) | 10.1243 | − | 34.4801i | 0.363206 | − | 1.23697i | ||||
\(778\) | −2.86403 | + | 29.9750i | −0.102680 | + | 1.07465i | ||||
\(779\) | −6.66635 | − | 46.3655i | −0.238847 | − | 1.66122i | ||||
\(780\) | −21.3633 | + | 4.48966i | −0.764930 | + | 0.160756i | ||||
\(781\) | − | 2.57219i | − | 0.0920400i | ||||||
\(782\) | −14.4551 | + | 36.9366i | −0.516915 | + | 1.32085i | ||||
\(783\) | −8.56516 | −0.306094 | ||||||||
\(784\) | 8.22974 | − | 4.24029i | 0.293919 | − | 0.151439i | ||||
\(785\) | −4.21895 | − | 10.0442i | −0.150581 | − | 0.358494i | ||||
\(786\) | −0.0773508 | + | 0.809554i | −0.00275901 | + | 0.0288758i | ||||
\(787\) | −5.79311 | + | 19.7295i | −0.206502 | + | 0.703281i | 0.789484 | + | 0.613771i | \(0.210348\pi\) |
−0.995986 | + | 0.0895099i | \(0.971470\pi\) | |||||||
\(788\) | −0.931484 | − | 9.76700i | −0.0331827 | − | 0.347935i | ||||
\(789\) | 3.20040 | + | 2.77317i | 0.113937 | + | 0.0987273i | ||||
\(790\) | 5.58624 | + | 2.43857i | 0.198750 | + | 0.0867605i | ||||
\(791\) | −8.24590 | − | 28.0830i | −0.293190 | − | 0.998515i | ||||
\(792\) | −1.12489 | − | 1.29865i | −0.0399710 | − | 0.0461454i | ||||
\(793\) | −11.8919 | + | 7.64248i | −0.422295 | + | 0.271392i | ||||
\(794\) | 20.3389 | − | 0.967669i | 0.721800 | − | 0.0343413i | ||||
\(795\) | −18.6639 | − | 12.8218i | −0.661940 | − | 0.454743i | ||||
\(796\) | −23.3799 | − | 22.2979i | −0.828680 | − | 0.790329i | ||||
\(797\) | −2.05709 | + | 14.3074i | −0.0728659 | + | 0.506793i | 0.920404 | + | 0.390969i | \(0.127860\pi\) |
−0.993270 | + | 0.115824i | \(0.963049\pi\) | |||||||
\(798\) | −22.0356 | + | 7.62517i | −0.780054 | + | 0.269928i | ||||
\(799\) | 21.6265 | − | 47.3555i | 0.765092 | − | 1.67532i | ||||
\(800\) | 19.2263 | + | 20.7448i | 0.679753 | + | 0.733441i | ||||
\(801\) | 1.55675 | − | 0.710943i | 0.0550050 | − | 0.0251200i | ||||
\(802\) | 0.322089 | − | 0.804402i | 0.0113733 | − | 0.0284044i | ||||
\(803\) | −1.32270 | + | 2.05817i | −0.0466772 | + | 0.0726311i | ||||
\(804\) | 18.2055 | − | 10.5081i | 0.642058 | − | 0.370592i | ||||
\(805\) | −12.9104 | − | 30.0747i | −0.455033 | − | 1.05999i | ||||
\(806\) | 21.0582 | − | 36.4689i | 0.741742 | − | 1.28456i | ||||
\(807\) | −2.64759 | − | 1.70150i | −0.0931995 | − | 0.0598957i | ||||
\(808\) | −4.34655 | − | 30.2686i | −0.152911 | − | 1.06485i | ||||
\(809\) | 19.7113 | + | 43.1618i | 0.693014 | + | 1.51749i | 0.848241 | + | 0.529610i | \(0.177662\pi\) |
−0.155227 | + | 0.987879i | \(0.549611\pi\) | |||||||
\(810\) | −1.73939 | + | 2.80922i | −0.0611158 | + | 0.0987058i | ||||
\(811\) | 29.8667 | + | 13.6397i | 1.04876 | + | 0.478954i | 0.863823 | − | 0.503796i | \(-0.168064\pi\) |
0.184940 | + | 0.982750i | \(0.440791\pi\) | |||||||
\(812\) | 1.84575 | − | 9.57063i | 0.0647731 | − | 0.335863i | ||||
\(813\) | 27.7231 | + | 3.98597i | 0.972290 | + | 0.139794i | ||||
\(814\) | 1.23198 | − | 5.07698i | 0.0431807 | − | 0.177948i | ||||
\(815\) | 38.8863 | + | 26.7143i | 1.36213 | + | 0.935762i | ||||
\(816\) | 1.26552 | + | 26.6978i | 0.0443019 | + | 0.934609i | ||||
\(817\) | 16.0342 | + | 24.9497i | 0.560966 | + | 0.872881i | ||||
\(818\) | −24.5074 | + | 4.72193i | −0.856881 | + | 0.165098i | ||||
\(819\) | −21.1999 | + | 6.22485i | −0.740785 | + | 0.217514i | ||||
\(820\) | 35.6536 | − | 26.2994i | 1.24508 | − | 0.918416i | ||||
\(821\) | 0.783440 | − | 0.904138i | 0.0273423 | − | 0.0315546i | −0.741914 | − | 0.670495i | \(-0.766082\pi\) |
0.769256 | + | 0.638941i | \(0.220627\pi\) | |||||||
\(822\) | 13.1819 | + | 18.5136i | 0.459770 | + | 0.645737i | ||||
\(823\) | −5.53342 | − | 1.62476i | −0.192883 | − | 0.0566356i | 0.183864 | − | 0.982952i | \(-0.441139\pi\) |
−0.376747 | + | 0.926316i | \(0.622957\pi\) | |||||||
\(824\) | 42.7005 | − | 19.4916i | 1.48754 | − | 0.679022i | ||||
\(825\) | 1.24343 | + | 1.62713i | 0.0432908 | + | 0.0566495i | ||||
\(826\) | −16.2722 | + | 8.38772i | −0.566184 | + | 0.291846i | ||||
\(827\) | 15.2377i | 0.529866i | 0.964267 | + | 0.264933i | \(0.0853499\pi\) | ||||
−0.964267 | + | 0.264933i | \(0.914650\pi\) | |||||||
\(828\) | 11.1252 | − | 11.8494i | 0.386626 | − | 0.411796i | ||||
\(829\) | −11.3449 | −0.394024 | −0.197012 | − | 0.980401i | \(-0.563124\pi\) | ||||
−0.197012 | + | 0.980401i | \(0.563124\pi\) | |||||||
\(830\) | 5.10326 | + | 5.69332i | 0.177137 | + | 0.197618i | ||||
\(831\) | 9.55035 | − | 1.37313i | 0.331298 | − | 0.0476335i | ||||
\(832\) | 31.0945 | − | 14.1872i | 1.07801 | − | 0.491853i | ||||
\(833\) | 12.9872 | + | 3.81340i | 0.449981 | + | 0.132126i | ||||
\(834\) | −8.08834 | + | 5.75897i | −0.280076 | + | 0.199417i | ||||
\(835\) | 11.8582 | − | 23.9861i | 0.410369 | − | 0.830073i | ||||
\(836\) | −3.14723 | + | 1.25953i | −0.108849 | + | 0.0435619i | ||||
\(837\) | −10.5328 | − | 35.8714i | −0.364067 | − | 1.23990i | ||||
\(838\) | −5.26980 | + | 1.01535i | −0.182042 | + | 0.0350747i | ||||
\(839\) | −38.6544 | + | 24.8417i | −1.33450 | + | 0.857629i | −0.996506 | − | 0.0835204i | \(-0.973384\pi\) |
−0.337991 | + | 0.941149i | \(0.609747\pi\) | |||||||
\(840\) | −16.2130 | − | 14.9507i | −0.559402 | − | 0.515847i | ||||
\(841\) | 17.3211 | + | 19.9897i | 0.597280 | + | 0.689298i | ||||
\(842\) | 41.6397 | + | 10.1043i | 1.43500 | + | 0.348216i | ||||
\(843\) | −2.81934 | − | 0.405360i | −0.0971033 | − | 0.0139614i | ||||
\(844\) | −2.56242 | + | 13.2868i | −0.0882023 | + | 0.457349i | ||||
\(845\) | −2.02791 | + | 11.5681i | −0.0697623 | + | 0.397953i | ||||
\(846\) | −15.4403 | + | 14.7205i | −0.530847 | + | 0.506103i | ||||
\(847\) | −30.1811 | + | 13.7832i | −1.03703 | + | 0.473597i | ||||
\(848\) | 32.9096 | + | 13.1840i | 1.13012 | + | 0.452739i | ||||
\(849\) | 0.241777 | − | 0.376212i | 0.00829775 | − | 0.0129116i | ||||
\(850\) | −0.576364 | + | 41.3490i | −0.0197691 | + | 1.41826i | ||||
\(851\) | 48.9737 | + | 6.65035i | 1.67880 | + | 0.227971i | ||||
\(852\) | 14.2012 | − | 8.19685i | 0.486525 | − | 0.280819i | ||||
\(853\) | −17.0593 | + | 26.5448i | −0.584100 | + | 0.908877i | −1.00000 | 0.000533013i | \(-0.999830\pi\) | |
0.415900 | + | 0.909410i | \(0.363467\pi\) | |||||||
\(854\) | −13.2578 | − | 5.30852i | −0.453672 | − | 0.181654i | ||||
\(855\) | −11.3110 | − | 13.8945i | −0.386829 | − | 0.475182i | ||||
\(856\) | −10.2850 | + | 35.0046i | −0.351533 | + | 1.19643i | ||||
\(857\) | 26.0275 | + | 11.8863i | 0.889081 | + | 0.406030i | 0.806969 | − | 0.590593i | \(-0.201106\pi\) |
0.0821117 | + | 0.996623i | \(0.473834\pi\) | |||||||
\(858\) | 2.33853 | − | 0.809219i | 0.0798360 | − | 0.0276263i | ||||
\(859\) | −36.7431 | − | 5.28286i | −1.25366 | − | 0.180249i | −0.516688 | − | 0.856174i | \(-0.672835\pi\) |
−0.736971 | + | 0.675925i | \(0.763745\pi\) | |||||||
\(860\) | −13.6167 | + | 24.5240i | −0.464324 | + | 0.836262i | ||||
\(861\) | −26.1075 | + | 22.6223i | −0.889741 | + | 0.770965i | ||||
\(862\) | −2.15669 | − | 45.3303i | −0.0734573 | − | 1.54396i | ||||
\(863\) | 5.35715 | − | 3.44283i | 0.182359 | − | 0.117195i | −0.446276 | − | 0.894895i | \(-0.647250\pi\) |
0.628636 | + | 0.777700i | \(0.283614\pi\) | |||||||
\(864\) | 9.93239 | − | 28.6706i | 0.337907 | − | 0.975395i | ||||
\(865\) | −2.29484 | − | 3.82439i | −0.0780268 | − | 0.130033i | ||||
\(866\) | 16.7262 | + | 13.1552i | 0.568380 | + | 0.447032i | ||||
\(867\) | −12.8705 | + | 14.8533i | −0.437104 | + | 0.504445i | ||||
\(868\) | 42.3522 | − | 4.03915i | 1.43753 | − | 0.137098i | ||||
\(869\) | −0.662956 | − | 0.194662i | −0.0224893 | − | 0.00660344i | ||||
\(870\) | −5.69622 | + | 0.916923i | −0.193120 | + | 0.0310866i | ||||
\(871\) | −5.59295 | − | 38.8998i | −0.189510 | − | 1.31807i | ||||
\(872\) | 9.09639 | − | 14.1488i | 0.308042 | − | 0.479139i | ||||
\(873\) | −15.0638 | −0.509832 | ||||||||
\(874\) | −14.9161 | − | 28.3893i | −0.504545 | − | 0.960281i | ||||
\(875\) | −23.6204 | − | 24.6249i | −0.798514 | − | 0.832475i | ||||
\(876\) | −15.5784 | − | 0.743914i | −0.526344 | − | 0.0251345i | ||||
\(877\) | 28.1826 | − | 4.05205i | 0.951659 | − | 0.136828i | 0.351037 | − | 0.936361i | \(-0.385829\pi\) |
0.600621 | + | 0.799534i | \(0.294920\pi\) | |||||||
\(878\) | −2.38553 | + | 24.9670i | −0.0805078 | + | 0.842595i | ||||
\(879\) | −24.2833 | − | 7.13021i | −0.819055 | − | 0.240496i | ||||
\(880\) | −2.45767 | − | 2.05905i | −0.0828480 | − | 0.0694105i | ||||
\(881\) | 30.8190 | + | 26.7048i | 1.03832 | + | 0.899708i | 0.995052 | − | 0.0993553i | \(-0.0316780\pi\) |
0.0432667 | + | 0.999064i | \(0.486223\pi\) | |||||||
\(882\) | −4.35967 | − | 3.42890i | −0.146798 | − | 0.115457i | ||||
\(883\) | −42.6751 | + | 12.5305i | −1.43613 | + | 0.421686i | −0.904930 | − | 0.425560i | \(-0.860077\pi\) |
−0.531201 | + | 0.847246i | \(0.678259\pi\) | |||||||
\(884\) | 47.2199 | + | 16.3492i | 1.58818 | + | 0.549882i | ||||
\(885\) | 7.96761 | + | 7.34467i | 0.267828 | + | 0.246888i | ||||
\(886\) | 1.05825 | + | 22.2427i | 0.0355525 | + | 0.747258i | ||||
\(887\) | −14.5197 | − | 16.7566i | −0.487524 | − | 0.562633i | 0.457678 | − | 0.889118i | \(-0.348681\pi\) |
−0.945202 | + | 0.326485i | \(0.894136\pi\) | |||||||
\(888\) | 31.9563 | − | 9.37712i | 1.07238 | − | 0.314676i | ||||
\(889\) | −47.4966 | − | 6.82897i | −1.59298 | − | 0.229036i | ||||
\(890\) | 2.65735 | − | 1.77156i | 0.0890746 | − | 0.0593828i | ||||
\(891\) | 0.155591 | − | 0.340697i | 0.00521250 | − | 0.0114138i | ||||
\(892\) | 12.7921 | + | 52.7567i | 0.428311 | + | 1.76643i | ||||
\(893\) | 17.4854 | + | 38.2876i | 0.585126 | + | 1.28125i | ||||
\(894\) | −8.68125 | + | 21.6810i | −0.290345 | + | 0.725123i | ||||
\(895\) | −5.29045 | + | 16.1624i | −0.176840 | + | 0.540249i | ||||
\(896\) | 29.8959 | + | 17.2767i | 0.998753 | + | 0.577175i | ||||
\(897\) | 9.89135 | + | 21.2177i | 0.330263 | + | 0.708440i | ||||
\(898\) | 1.33707 | − | 2.31555i | 0.0446185 | − | 0.0772710i | ||||
\(899\) | 6.01732 | − | 9.36313i | 0.200689 | − | 0.312278i | ||||
\(900\) | 6.51757 | − | 15.6420i | 0.217252 | − | 0.521399i | ||||
\(901\) | 21.5322 | + | 47.1489i | 0.717341 | + | 1.57076i | ||||
\(902\) | −3.63491 | + | 3.46547i | −0.121029 | + | 0.115388i | ||||
\(903\) | 9.08595 | − | 19.8954i | 0.302361 | − | 0.662079i | ||||
\(904\) | 17.7666 | − | 20.4965i | 0.590907 | − | 0.681702i | ||||
\(905\) | −33.7599 | + | 3.79905i | −1.12222 | + | 0.126285i | ||||
\(906\) | 23.1012 | + | 5.60572i | 0.767485 | + | 0.186237i | ||||
\(907\) | 22.6511 | − | 19.6273i | 0.752119 | − | 0.651714i | −0.191972 | − | 0.981400i | \(-0.561488\pi\) |
0.944091 | + | 0.329686i | \(0.106943\pi\) | |||||||
\(908\) | 0.930903 | − | 1.80518i | 0.0308931 | − | 0.0599070i | ||||
\(909\) | −15.4121 | + | 9.90473i | −0.511186 | + | 0.328519i | ||||
\(910\) | −37.2132 | + | 17.7562i | −1.23360 | + | 0.588614i | ||||
\(911\) | −39.2902 | + | 11.5367i | −1.30174 | + | 0.382226i | −0.857872 | − | 0.513864i | \(-0.828214\pi\) |
−0.443872 | + | 0.896090i | \(0.646396\pi\) | |||||||
\(912\) | −16.9833 | − | 13.3623i | −0.562374 | − | 0.442469i | ||||
\(913\) | −0.655004 | − | 0.567565i | −0.0216775 | − | 0.0187836i | ||||
\(914\) | 7.95515 | + | 11.1728i | 0.263133 | + | 0.369564i | ||||
\(915\) | −0.259815 | + | 8.44942i | −0.00858922 | + | 0.279329i | ||||
\(916\) | −35.1604 | − | 25.0438i | −1.16173 | − | 0.827471i | ||||
\(917\) | 0.218602 | + | 1.52041i | 0.00721887 | + | 0.0502083i | ||||
\(918\) | 39.4317 | − | 20.3256i | 1.30144 | − | 0.670843i | ||||
\(919\) | −13.9793 | −0.461134 | −0.230567 | − | 0.973056i | \(-0.574058\pi\) | ||||
−0.230567 | + | 0.973056i | \(0.574058\pi\) | |||||||
\(920\) | 16.9831 | − | 25.1312i | 0.559915 | − | 0.828550i | ||||
\(921\) | −19.0393 | −0.627366 | ||||||||
\(922\) | 7.83156 | − | 4.03687i | 0.257919 | − | 0.132947i | ||||
\(923\) | −4.36278 | − | 30.3438i | −0.143603 | − | 0.998778i | ||||
\(924\) | 2.03626 | + | 1.45037i | 0.0669879 | + | 0.0477137i | ||||
\(925\) | 50.2385 | − | 11.4518i | 1.65183 | − | 0.376534i | ||||
\(926\) | −18.8809 | − | 26.5178i | −0.620465 | − | 0.871429i | ||||
\(927\) | −21.2530 | − | 18.4158i | −0.698039 | − | 0.604854i | ||||
\(928\) | 8.38701 | − | 3.35481i | 0.275317 | − | 0.110127i | ||||
\(929\) | −49.6920 | + | 14.5909i | −1.63034 | + | 0.478712i | −0.963771 | − | 0.266730i | \(-0.914057\pi\) |
−0.666571 | + | 0.745442i | \(0.732239\pi\) | |||||||
\(930\) | −10.8449 | − | 22.7286i | −0.355619 | − | 0.745299i | ||||
\(931\) | −9.20640 | + | 5.91659i | −0.301728 | + | 0.193909i | ||||
\(932\) | −9.21950 | + | 17.8782i | −0.301995 | + | 0.585620i | ||||
\(933\) | −16.2589 | + | 14.0884i | −0.532291 | + | 0.461233i | ||||
\(934\) | −17.7914 | − | 4.31724i | −0.582152 | − | 0.141265i | ||||
\(935\) | −0.524199 | − | 4.65825i | −0.0171431 | − | 0.152341i | ||||
\(936\) | −15.4728 | − | 13.4120i | −0.505745 | − | 0.438386i | ||||
\(937\) | 17.0296 | − | 37.2896i | 0.556332 | − | 1.21820i | −0.397429 | − | 0.917633i | \(-0.630097\pi\) |
0.953761 | − | 0.300565i | \(-0.0971753\pi\) | |||||||
\(938\) | 28.7362 | − | 27.3967i | 0.938271 | − | 0.894535i | ||||
\(939\) | −3.01485 | − | 6.60161i | −0.0983860 | − | 0.215435i | ||||
\(940\) | −24.0818 | + | 31.7008i | −0.785463 | + | 1.03397i | ||||
\(941\) | 2.94595 | − | 4.58398i | 0.0960351 | − | 0.149434i | −0.789911 | − | 0.613221i | \(-0.789874\pi\) |
0.885947 | + | 0.463787i | \(0.153510\pi\) | |||||||
\(942\) | −3.93663 | + | 6.81752i | −0.128262 | + | 0.222127i | ||||
\(943\) | −36.1487 | − | 30.8308i | −1.17717 | − | 1.00399i | ||||
\(944\) | −14.6910 | − | 8.48642i | −0.478151 | − | 0.276209i | ||||
\(945\) | −11.3874 | + | 34.7885i | −0.370431 | + | 1.13167i | ||||
\(946\) | 1.18196 | − | 2.95190i | 0.0384289 | − | 0.0959745i | ||||
\(947\) | 9.07405 | + | 19.8694i | 0.294867 | + | 0.645668i | 0.997850 | − | 0.0655381i | \(-0.0208764\pi\) |
−0.702983 | + | 0.711206i | \(0.748149\pi\) | |||||||
\(948\) | −1.03792 | − | 4.28055i | −0.0337101 | − | 0.139026i | ||||
\(949\) | −12.1129 | + | 26.5235i | −0.393200 | + | 0.860988i | ||||
\(950\) | −24.9605 | − | 22.2450i | −0.809827 | − | 0.721724i | ||||
\(951\) | −12.1728 | − | 1.75018i | −0.394730 | − | 0.0567536i | ||||
\(952\) | 14.2143 | + | 48.4407i | 0.460687 | + | 1.56997i | ||||
\(953\) | −0.326816 | − | 0.377166i | −0.0105866 | − | 0.0122176i | 0.750432 | − | 0.660948i | \(-0.229846\pi\) |
−0.761018 | + | 0.648731i | \(0.775300\pi\) | |||||||
\(954\) | −1.00940 | − | 21.2159i | −0.0326804 | − | 0.686890i | ||||
\(955\) | −5.10610 | + | 5.53917i | −0.165229 | + | 0.179243i | ||||
\(956\) | 36.9513 | + | 12.7938i | 1.19509 | + | 0.413781i | ||||
\(957\) | 0.627525 | − | 0.184258i | 0.0202850 | − | 0.00595621i | ||||
\(958\) | −5.75114 | − | 4.52329i | −0.185811 | − | 0.146141i | ||||
\(959\) | 32.4417 | + | 28.1109i | 1.04760 | + | 0.907748i | ||||
\(960\) | 3.53622 | − | 20.1306i | 0.114131 | − | 0.649711i | ||||
\(961\) | 16.8688 | + | 4.95312i | 0.544154 | + | 0.159778i | ||||
\(962\) | 5.92224 | − | 61.9822i | 0.190941 | − | 1.99839i | ||||
\(963\) | 21.6358 | − | 3.11075i | 0.697203 | − | 0.100243i | ||||
\(964\) | −41.5771 | − | 1.98543i | −1.33911 | − | 0.0639465i | ||||
\(965\) | −7.83006 | − | 30.0549i | −0.252058 | − | 0.967503i | ||||
\(966\) | −11.6656 | + | 20.5731i | −0.375336 | + | 0.661930i | ||||
\(967\) | 5.07289 | 0.163133 | 0.0815665 | − | 0.996668i | \(-0.474008\pi\) | ||||
0.0815665 | + | 0.996668i | \(0.474008\pi\) | |||||||
\(968\) | −25.8650 | − | 16.6288i | −0.831333 | − | 0.534471i | ||||
\(969\) | −4.49638 | − | 31.2730i | −0.144445 | − | 1.00463i | ||||
\(970\) | −27.7540 | + | 4.46757i | −0.891126 | + | 0.143445i | ||||
\(971\) | 19.2515 | + | 5.65275i | 0.617810 | + | 0.181405i | 0.575637 | − | 0.817705i | \(-0.304754\pi\) |
0.0421723 | + | 0.999110i | \(0.486572\pi\) | |||||||
\(972\) | −29.6607 | + | 2.82876i | −0.951368 | + | 0.0907324i | ||||
\(973\) | −12.2813 | + | 14.1733i | −0.393719 | + | 0.454376i | ||||
\(974\) | 22.4492 | + | 17.6564i | 0.719318 | + | 0.565746i | ||||
\(975\) | 17.4285 | + | 17.0861i | 0.558158 | + | 0.547192i | ||||
\(976\) | −2.50172 | − | 12.9965i | −0.0800781 | − | 0.416008i | ||||
\(977\) | −1.31959 | + | 0.848047i | −0.0422173 | + | 0.0271314i | −0.561579 | − | 0.827423i | \(-0.689806\pi\) |
0.519362 | + | 0.854554i | \(0.326170\pi\) | |||||||
\(978\) | −1.62017 | − | 34.0535i | −0.0518074 | − | 1.08891i | ||||
\(979\) | −0.273605 | + | 0.237080i | −0.00874446 | + | 0.00757712i | ||||
\(980\) | −9.04931 | − | 5.02452i | −0.289070 | − | 0.160502i | ||||
\(981\) | −9.97488 | − | 1.43417i | −0.318473 | − | 0.0457896i | ||||
\(982\) | 10.4831 | − | 3.62755i | 0.334529 | − | 0.115760i | ||||
\(983\) | 35.2746 | + | 16.1094i | 1.12509 | + | 0.513809i | 0.888993 | − | 0.457921i | \(-0.151406\pi\) |
0.236092 | + | 0.971731i | \(0.424133\pi\) | |||||||
\(984\) | −30.7165 | − | 9.02504i | −0.979208 | − | 0.287708i | ||||
\(985\) | −8.50698 | + | 6.92523i | −0.271055 | + | 0.220656i | ||||
\(986\) | 12.2605 | + | 4.90920i | 0.390454 | + | 0.156341i | ||||
\(987\) | 16.7823 | − | 26.1137i | 0.534185 | − | 0.831209i | ||||
\(988\) | −34.9912 | + | 20.1967i | −1.11322 | + | 0.642544i | ||||
\(989\) | 28.9280 | + | 8.24853i | 0.919857 | + | 0.262288i | ||||
\(990\) | −0.510135 | + | 1.85191i | −0.0162132 | + | 0.0588576i | ||||
\(991\) | 24.0243 | − | 37.3825i | 0.763157 | − | 1.18749i | −0.214384 | − | 0.976749i | \(-0.568775\pi\) |
0.977541 | − | 0.210745i | \(-0.0675891\pi\) | |||||||
\(992\) | 24.3639 | + | 30.9998i | 0.773554 | + | 0.984246i | ||||
\(993\) | −23.4271 | + | 10.6988i | −0.743437 | + | 0.339516i | ||||
\(994\) | 22.4157 | − | 21.3708i | 0.710982 | − | 0.677841i | ||||
\(995\) | −6.23711 | + | 35.5791i | −0.197730 | + | 1.12793i | ||||
\(996\) | 1.04624 | − | 5.42499i | 0.0331513 | − | 0.171897i | ||||
\(997\) | 42.3650 | + | 6.09117i | 1.34171 | + | 0.192909i | 0.775499 | − | 0.631348i | \(-0.217498\pi\) |
0.566215 | + | 0.824258i | \(0.308407\pi\) | |||||||
\(998\) | 18.8061 | + | 4.56348i | 0.595297 | + | 0.144454i | ||||
\(999\) | −36.1984 | − | 41.7752i | −1.14527 | − | 1.32171i |
(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 | 460.2.o.b.159.11 | ✓ | 640 | |
4.3 | odd | 2 | inner | 460.2.o.b.159.31 | yes | 640 | |
5.4 | even | 2 | inner | 460.2.o.b.159.54 | yes | 640 | |
20.19 | odd | 2 | inner | 460.2.o.b.159.34 | yes | 640 | |
23.11 | odd | 22 | inner | 460.2.o.b.379.34 | yes | 640 | |
92.11 | even | 22 | inner | 460.2.o.b.379.54 | yes | 640 | |
115.34 | odd | 22 | inner | 460.2.o.b.379.31 | yes | 640 | |
460.379 | even | 22 | inner | 460.2.o.b.379.11 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.o.b.159.11 | ✓ | 640 | 1.1 | even | 1 | trivial | |
460.2.o.b.159.31 | yes | 640 | 4.3 | odd | 2 | inner | |
460.2.o.b.159.34 | yes | 640 | 20.19 | odd | 2 | inner | |
460.2.o.b.159.54 | yes | 640 | 5.4 | even | 2 | inner | |
460.2.o.b.379.11 | yes | 640 | 460.379 | even | 22 | inner | |
460.2.o.b.379.31 | yes | 640 | 115.34 | odd | 22 | inner | |
460.2.o.b.379.34 | yes | 640 | 23.11 | odd | 22 | inner | |
460.2.o.b.379.54 | yes | 640 | 92.11 | even | 22 | inner |