Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 47.2 | ||
Character | \(\chi\) | \(=\) | 175.47 |
Dual form | 175.2.x.a.108.2 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{17}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.135500 | + | 2.58550i | −0.0958133 | + | 1.82823i | 0.354160 | + | 0.935185i | \(0.384767\pi\) |
−0.449974 | + | 0.893042i | \(0.648567\pi\) | |||||||
\(3\) | 1.90004 | − | 1.53862i | 1.09699 | − | 0.888324i | 0.102665 | − | 0.994716i | \(-0.467263\pi\) |
0.994324 | + | 0.106392i | \(0.0339298\pi\) | |||||||
\(4\) | −4.67742 | − | 0.491617i | −2.33871 | − | 0.245808i | ||||
\(5\) | 2.23569 | + | 0.0410919i | 0.999831 | + | 0.0183768i | ||||
\(6\) | 3.72066 | + | 5.12104i | 1.51895 | + | 2.09066i | ||||
\(7\) | 2.52464 | − | 0.791332i | 0.954223 | − | 0.299095i | ||||
\(8\) | 1.09484 | − | 6.91252i | 0.387083 | − | 2.44394i | ||||
\(9\) | 0.619060 | − | 2.91245i | 0.206353 | − | 0.970816i | ||||
\(10\) | −0.409180 | + | 5.77482i | −0.129394 | + | 1.82616i | ||||
\(11\) | −5.30433 | + | 1.12747i | −1.59932 | + | 0.339945i | −0.919394 | − | 0.393339i | \(-0.871320\pi\) |
−0.679922 | + | 0.733284i | \(0.737987\pi\) | |||||||
\(12\) | −9.64370 | + | 6.26269i | −2.78390 | + | 1.80788i | ||||
\(13\) | −0.126124 | + | 0.247532i | −0.0349804 | + | 0.0686529i | −0.907835 | − | 0.419327i | \(-0.862266\pi\) |
0.872855 | + | 0.487980i | \(0.162266\pi\) | |||||||
\(14\) | 1.70390 | + | 6.63468i | 0.455387 | + | 1.77319i | ||||
\(15\) | 4.31113 | − | 3.36181i | 1.11313 | − | 0.868015i | ||||
\(16\) | 8.52317 | + | 1.81165i | 2.13079 | + | 0.452914i | ||||
\(17\) | −4.22770 | + | 1.62286i | −1.02537 | + | 0.393602i | −0.812178 | − | 0.583409i | \(-0.801718\pi\) |
−0.213189 | + | 0.977011i | \(0.568385\pi\) | |||||||
\(18\) | 7.44626 | + | 1.99522i | 1.75510 | + | 0.470278i | ||||
\(19\) | 0.00214840 | + | 0.0204407i | 0.000492877 | + | 0.00468941i | 0.994766 | − | 0.102183i | \(-0.0325829\pi\) |
−0.994273 | + | 0.106873i | \(0.965916\pi\) | |||||||
\(20\) | −10.4371 | − | 1.29131i | −2.33380 | − | 0.288745i | ||||
\(21\) | 3.57935 | − | 5.38803i | 0.781079 | − | 1.17576i | ||||
\(22\) | −2.19634 | − | 13.8671i | −0.468261 | − | 2.95648i | ||||
\(23\) | −5.45201 | − | 0.285728i | −1.13682 | − | 0.0595784i | −0.525380 | − | 0.850867i | \(-0.676077\pi\) |
−0.611442 | + | 0.791289i | \(0.709410\pi\) | |||||||
\(24\) | −8.55552 | − | 14.8186i | −1.74639 | − | 3.02483i | ||||
\(25\) | 4.99662 | + | 0.183737i | 0.999325 | + | 0.0367475i | ||||
\(26\) | −0.622904 | − | 0.359634i | −0.122162 | − | 0.0705300i | ||||
\(27\) | 0.0249589 | + | 0.0489845i | 0.00480333 | + | 0.00942707i | ||||
\(28\) | −12.1978 | + | 2.46024i | −2.30517 | + | 0.464941i | ||||
\(29\) | −0.413497 | + | 0.569129i | −0.0767844 | + | 0.105685i | −0.845682 | − | 0.533688i | \(-0.820806\pi\) |
0.768897 | + | 0.639372i | \(0.220806\pi\) | |||||||
\(30\) | 8.10780 | + | 11.6020i | 1.48028 | + | 2.11822i | ||||
\(31\) | 1.64234 | − | 3.68876i | 0.294973 | − | 0.662520i | −0.703884 | − | 0.710315i | \(-0.748553\pi\) |
0.998857 | + | 0.0477944i | \(0.0152192\pi\) | |||||||
\(32\) | −2.21615 | + | 8.27077i | −0.391763 | + | 1.46208i | ||||
\(33\) | −8.34369 | + | 10.3036i | −1.45245 | + | 1.79363i | ||||
\(34\) | −3.62306 | − | 11.1506i | −0.621349 | − | 1.91232i | ||||
\(35\) | 5.67682 | − | 1.66543i | 0.959559 | − | 0.281509i | ||||
\(36\) | −4.32741 | + | 13.3184i | −0.721235 | + | 2.21973i | ||||
\(37\) | −0.0129377 | − | 0.0199223i | −0.00212694 | − | 0.00327521i | 0.837605 | − | 0.546276i | \(-0.183955\pi\) |
−0.839732 | + | 0.543000i | \(0.817288\pi\) | |||||||
\(38\) | −0.0531405 | + | 0.00278498i | −0.00862053 | + | 0.000451783i | ||||
\(39\) | 0.141218 | + | 0.664377i | 0.0226129 | + | 0.106385i | ||||
\(40\) | 2.73176 | − | 15.4093i | 0.431929 | − | 2.43642i | ||||
\(41\) | 5.37154 | − | 1.74532i | 0.838894 | − | 0.272573i | 0.142107 | − | 0.989851i | \(-0.454612\pi\) |
0.696787 | + | 0.717278i | \(0.254612\pi\) | |||||||
\(42\) | 13.4458 | + | 9.98451i | 2.07472 | + | 1.54064i | ||||
\(43\) | −4.35752 | + | 4.35752i | −0.664515 | + | 0.664515i | −0.956441 | − | 0.291926i | \(-0.905704\pi\) |
0.291926 | + | 0.956441i | \(0.405704\pi\) | |||||||
\(44\) | 25.3649 | − | 2.66596i | 3.82390 | − | 0.401908i | ||||
\(45\) | 1.50370 | − | 6.48589i | 0.224159 | − | 0.966860i | ||||
\(46\) | 1.47750 | − | 14.0575i | 0.217845 | − | 2.07266i | ||||
\(47\) | 1.23451 | − | 3.21600i | 0.180071 | − | 0.469102i | −0.813600 | − | 0.581424i | \(-0.802496\pi\) |
0.993672 | + | 0.112323i | \(0.0358290\pi\) | |||||||
\(48\) | 18.9818 | − | 9.67172i | 2.73979 | − | 1.39599i | ||||
\(49\) | 5.74759 | − | 3.99565i | 0.821084 | − | 0.570807i | ||||
\(50\) | −1.15210 | + | 12.8939i | −0.162931 | + | 1.82347i | ||||
\(51\) | −5.53583 | + | 9.58833i | −0.775171 | + | 1.34264i | ||||
\(52\) | 0.711624 | − | 1.09581i | 0.0986845 | − | 0.151961i | ||||
\(53\) | 2.34357 | + | 2.89407i | 0.321914 | + | 0.397531i | 0.912255 | − | 0.409624i | \(-0.134340\pi\) |
−0.590341 | + | 0.807154i | \(0.701007\pi\) | |||||||
\(54\) | −0.130032 | + | 0.0578938i | −0.0176950 | + | 0.00787834i | ||||
\(55\) | −11.9052 | + | 2.30271i | −1.60529 | + | 0.310497i | ||||
\(56\) | −2.70603 | − | 18.3180i | −0.361609 | − | 2.44784i | ||||
\(57\) | 0.0355325 | + | 0.0355325i | 0.00470640 | + | 0.00470640i | ||||
\(58\) | −1.41546 | − | 1.14621i | −0.185859 | − | 0.150505i | ||||
\(59\) | −3.75527 | + | 4.17065i | −0.488894 | + | 0.542972i | −0.936227 | − | 0.351396i | \(-0.885707\pi\) |
0.447333 | + | 0.894367i | \(0.352374\pi\) | |||||||
\(60\) | −21.8177 | + | 13.6052i | −2.81665 | + | 1.75642i | ||||
\(61\) | 1.43060 | − | 1.28812i | 0.183169 | − | 0.164926i | −0.572445 | − | 0.819943i | \(-0.694005\pi\) |
0.755614 | + | 0.655017i | \(0.227338\pi\) | |||||||
\(62\) | 9.31476 | + | 4.74610i | 1.18298 | + | 0.602756i | ||||
\(63\) | −0.741811 | − | 7.84276i | −0.0934594 | − | 0.988094i | ||||
\(64\) | −4.50960 | − | 1.46526i | −0.563700 | − | 0.183157i | ||||
\(65\) | −0.292145 | + | 0.548221i | −0.0362361 | + | 0.0679985i | ||||
\(66\) | −25.5094 | − | 22.9688i | −3.13999 | − | 2.82726i | ||||
\(67\) | −5.44695 | − | 14.1898i | −0.665451 | − | 1.73356i | −0.679518 | − | 0.733659i | \(-0.737811\pi\) |
0.0140668 | − | 0.999901i | \(-0.495522\pi\) | |||||||
\(68\) | 20.5725 | − | 5.51240i | 2.49479 | − | 0.668476i | ||||
\(69\) | −10.7987 | + | 7.84569i | −1.30001 | + | 0.944510i | ||||
\(70\) | 3.53676 | + | 14.9031i | 0.422724 | + | 1.78126i | ||||
\(71\) | 1.09682 | + | 0.796887i | 0.130169 | + | 0.0945731i | 0.650964 | − | 0.759108i | \(-0.274365\pi\) |
−0.520796 | + | 0.853681i | \(0.674365\pi\) | |||||||
\(72\) | −19.4546 | − | 7.46791i | −2.29274 | − | 0.880102i | ||||
\(73\) | 6.88409 | + | 4.47058i | 0.805722 | + | 0.523242i | 0.880549 | − | 0.473955i | \(-0.157174\pi\) |
−0.0748276 | + | 0.997196i | \(0.523841\pi\) | |||||||
\(74\) | 0.0532622 | − | 0.0307510i | 0.00619161 | − | 0.00357473i | ||||
\(75\) | 9.77649 | − | 7.33881i | 1.12889 | − | 0.847413i | ||||
\(76\) | − | 0.0966658i | − | 0.0110883i | ||||||
\(77\) | −12.4993 | + | 7.04394i | −1.42443 | + | 0.802731i | ||||
\(78\) | −1.73688 | + | 0.275095i | −0.196663 | + | 0.0311484i | ||||
\(79\) | −1.03233 | − | 2.31865i | −0.116146 | − | 0.260869i | 0.846113 | − | 0.533004i | \(-0.178937\pi\) |
−0.962259 | + | 0.272135i | \(0.912270\pi\) | |||||||
\(80\) | 18.9807 | + | 4.40053i | 2.12211 | + | 0.491994i | ||||
\(81\) | 8.28307 | + | 3.68786i | 0.920342 | + | 0.409762i | ||||
\(82\) | 3.78468 | + | 14.1246i | 0.417948 | + | 1.55980i | ||||
\(83\) | 6.74923 | + | 1.06897i | 0.740825 | + | 0.117335i | 0.515429 | − | 0.856932i | \(-0.327633\pi\) |
0.225396 | + | 0.974267i | \(0.427633\pi\) | |||||||
\(84\) | −19.3910 | + | 23.4424i | −2.11573 | + | 2.55778i | ||||
\(85\) | −9.51851 | + | 3.45449i | −1.03243 | + | 0.374692i | ||||
\(86\) | −10.6759 | − | 11.8568i | −1.15121 | − | 1.27855i | ||||
\(87\) | 0.0900148 | + | 1.71758i | 0.00965060 | + | 0.184144i | ||||
\(88\) | 1.98629 | + | 37.9007i | 0.211739 | + | 4.04023i | ||||
\(89\) | −5.48864 | − | 6.09575i | −0.581794 | − | 0.646148i | 0.378347 | − | 0.925664i | \(-0.376493\pi\) |
−0.960141 | + | 0.279516i | \(0.909826\pi\) | |||||||
\(90\) | 16.5655 | + | 4.76667i | 1.74616 | + | 0.502451i | ||||
\(91\) | −0.122537 | + | 0.724733i | −0.0128454 | + | 0.0759727i | ||||
\(92\) | 25.3609 | + | 4.01677i | 2.64405 | + | 0.418777i | ||||
\(93\) | −2.55509 | − | 9.53573i | −0.264951 | − | 0.988809i | ||||
\(94\) | 8.14770 | + | 3.62759i | 0.840371 | + | 0.374157i | ||||
\(95\) | 0.00396321 | + | 0.0457873i | 0.000406617 | + | 0.00469768i | ||||
\(96\) | 8.51483 | + | 19.1246i | 0.869041 | + | 1.95190i | ||||
\(97\) | −13.8647 | + | 2.19595i | −1.40775 | + | 0.222965i | −0.813615 | − | 0.581404i | \(-0.802504\pi\) |
−0.594130 | + | 0.804369i | \(0.702504\pi\) | |||||||
\(98\) | 9.55197 | + | 15.4018i | 0.964894 | + | 1.55582i | ||||
\(99\) | 16.1466i | 1.62279i | ||||||||
\(100\) | −23.2810 | − | 3.31584i | −2.32810 | − | 0.331584i | ||||
\(101\) | −1.86039 | + | 1.07409i | −0.185115 | + | 0.106876i | −0.589694 | − | 0.807627i | \(-0.700752\pi\) |
0.404579 | + | 0.914503i | \(0.367418\pi\) | |||||||
\(102\) | −24.0406 | − | 15.6121i | −2.38037 | − | 1.54583i | ||||
\(103\) | −9.50912 | − | 3.65021i | −0.936962 | − | 0.359666i | −0.158501 | − | 0.987359i | \(-0.550666\pi\) |
−0.778461 | + | 0.627693i | \(0.783999\pi\) | |||||||
\(104\) | 1.57298 | + | 1.14284i | 0.154244 | + | 0.112065i | ||||
\(105\) | 8.22373 | − | 11.8989i | 0.802554 | − | 1.16121i | ||||
\(106\) | −7.80017 | + | 5.66716i | −0.757620 | + | 0.550443i | ||||
\(107\) | −6.10643 | + | 1.63621i | −0.590331 | + | 0.158179i | −0.541605 | − | 0.840633i | \(-0.682183\pi\) |
−0.0487267 | + | 0.998812i | \(0.515516\pi\) | |||||||
\(108\) | −0.0926614 | − | 0.241391i | −0.00891635 | − | 0.0232279i | ||||
\(109\) | 12.5165 | + | 11.2699i | 1.19886 | + | 1.07946i | 0.994940 | + | 0.100471i | \(0.0320349\pi\) |
0.203920 | + | 0.978988i | \(0.434632\pi\) | |||||||
\(110\) | −4.34051 | − | 31.0929i | −0.413851 | − | 2.96459i | ||||
\(111\) | −0.0552351 | − | 0.0179470i | −0.00524268 | − | 0.00170345i | ||||
\(112\) | 22.9515 | − | 2.17088i | 2.16872 | − | 0.205129i | ||||
\(113\) | 1.89387 | + | 0.964975i | 0.178160 | + | 0.0907772i | 0.540796 | − | 0.841154i | \(-0.318123\pi\) |
−0.362636 | + | 0.931931i | \(0.618123\pi\) | |||||||
\(114\) | −0.0966841 | + | 0.0870547i | −0.00905529 | + | 0.00815342i | ||||
\(115\) | −12.1773 | − | 0.862832i | −1.13554 | − | 0.0804595i | ||||
\(116\) | 2.21389 | − | 2.45878i | 0.205555 | − | 0.228292i | ||||
\(117\) | 0.642845 | + | 0.520566i | 0.0594310 | + | 0.0481263i | ||||
\(118\) | −10.2744 | − | 10.2744i | −0.945833 | − | 0.945833i | ||||
\(119\) | −9.38918 | + | 7.44265i | −0.860705 | + | 0.682266i | ||||
\(120\) | −18.5186 | − | 33.4814i | −1.69051 | − | 3.05642i | ||||
\(121\) | 16.8157 | − | 7.48685i | 1.52870 | − | 0.680623i | ||||
\(122\) | 3.13658 | + | 3.87335i | 0.283973 | + | 0.350677i | ||||
\(123\) | 7.52076 | − | 11.5810i | 0.678124 | − | 1.04422i | ||||
\(124\) | −9.49537 | + | 16.4465i | −0.852710 | + | 1.47694i | ||||
\(125\) | 11.1634 | + | 0.616100i | 0.998481 | + | 0.0551057i | ||||
\(126\) | 20.3780 | − | 0.855257i | 1.81542 | − | 0.0761923i | ||||
\(127\) | 9.31183 | − | 4.74461i | 0.826291 | − | 0.421016i | 0.0109096 | − | 0.999940i | \(-0.496527\pi\) |
0.815381 | + | 0.578924i | \(0.196527\pi\) | |||||||
\(128\) | −1.73759 | + | 4.52658i | −0.153583 | + | 0.400097i | ||||
\(129\) | −1.57488 | + | 14.9840i | −0.138661 | + | 1.31927i | ||||
\(130\) | −1.37784 | − | 0.829626i | −0.120845 | − | 0.0727630i | ||||
\(131\) | 18.4422 | − | 1.93835i | 1.61130 | − | 0.169354i | 0.744363 | − | 0.667775i | \(-0.232753\pi\) |
0.866935 | + | 0.498421i | \(0.166087\pi\) | |||||||
\(132\) | 44.0924 | − | 44.0924i | 3.83775 | − | 3.83775i | ||||
\(133\) | 0.0215993 | + | 0.0499052i | 0.00187289 | + | 0.00432733i | ||||
\(134\) | 37.4258 | − | 12.1604i | 3.23310 | − | 1.05050i | ||||
\(135\) | 0.0537874 | + | 0.110540i | 0.00462928 | + | 0.00951375i | ||||
\(136\) | 6.58943 | + | 31.0008i | 0.565039 | + | 2.65830i | ||||
\(137\) | −11.0060 | + | 0.576801i | −0.940308 | + | 0.0492794i | −0.516327 | − | 0.856392i | \(-0.672701\pi\) |
−0.423981 | + | 0.905671i | \(0.639368\pi\) | |||||||
\(138\) | −18.8218 | − | 28.9831i | −1.60222 | − | 2.46720i | ||||
\(139\) | 1.73378 | − | 5.33603i | 0.147058 | − | 0.452597i | −0.850212 | − | 0.526440i | \(-0.823526\pi\) |
0.997270 | + | 0.0738434i | \(0.0235265\pi\) | |||||||
\(140\) | −27.3717 | + | 4.99910i | −2.31333 | + | 0.422501i | ||||
\(141\) | −2.60260 | − | 8.00997i | −0.219178 | − | 0.674561i | ||||
\(142\) | −2.20897 | + | 2.72785i | −0.185373 | + | 0.228916i | ||||
\(143\) | 0.389917 | − | 1.45519i | 0.0326065 | − | 0.121689i | ||||
\(144\) | 10.5527 | − | 23.7018i | 0.879392 | − | 1.97515i | ||||
\(145\) | −0.947837 | + | 1.25541i | −0.0787136 | + | 0.104256i | ||||
\(146\) | −12.4915 | + | 17.1931i | −1.03380 | + | 1.42291i | ||||
\(147\) | 4.77285 | − | 16.4353i | 0.393658 | − | 1.35556i | ||||
\(148\) | 0.0507209 | + | 0.0995454i | 0.00416923 | + | 0.00818258i | ||||
\(149\) | 2.27766 | + | 1.31501i | 0.186593 | + | 0.107730i | 0.590387 | − | 0.807121i | \(-0.298975\pi\) |
−0.403794 | + | 0.914850i | \(0.632309\pi\) | |||||||
\(150\) | 17.6498 | + | 26.2716i | 1.44110 | + | 2.14506i | ||||
\(151\) | 2.52619 | + | 4.37549i | 0.205579 | + | 0.356073i | 0.950317 | − | 0.311284i | \(-0.100759\pi\) |
−0.744738 | + | 0.667357i | \(0.767426\pi\) | |||||||
\(152\) | 0.143649 | + | 0.00752830i | 0.0116514 | + | 0.000610626i | ||||
\(153\) | 2.10930 | + | 13.3176i | 0.170527 | + | 1.07666i | ||||
\(154\) | −16.5185 | − | 33.2715i | −1.33110 | − | 2.68109i | ||||
\(155\) | 3.82334 | − | 8.17943i | 0.307098 | − | 0.656988i | ||||
\(156\) | −0.333916 | − | 3.17700i | −0.0267346 | − | 0.254363i | ||||
\(157\) | −6.06312 | − | 1.62461i | −0.483890 | − | 0.129658i | 0.00862335 | − | 0.999963i | \(-0.497255\pi\) |
−0.492513 | + | 0.870305i | \(0.663922\pi\) | |||||||
\(158\) | 6.13476 | − | 2.35492i | 0.488056 | − | 0.187347i | ||||
\(159\) | 8.90575 | + | 1.89298i | 0.706272 | + | 0.150123i | ||||
\(160\) | −5.29448 | + | 18.3998i | −0.418565 | + | 1.45463i | ||||
\(161\) | −13.9905 | + | 3.59299i | −1.10260 | + | 0.283167i | ||||
\(162\) | −10.6573 | + | 20.9162i | −0.837320 | + | 1.64333i | ||||
\(163\) | 16.3769 | − | 10.6353i | 1.28274 | − | 0.833018i | 0.290438 | − | 0.956894i | \(-0.406199\pi\) |
0.992298 | + | 0.123876i | \(0.0395325\pi\) | |||||||
\(164\) | −25.9830 | + | 5.52285i | −2.02893 | + | 0.431262i | ||||
\(165\) | −19.0773 | + | 22.6928i | −1.48517 | + | 1.76663i | ||||
\(166\) | −3.67836 | + | 17.3053i | −0.285496 | + | 1.34315i | ||||
\(167\) | −2.80249 | + | 17.6942i | −0.216863 | + | 1.36922i | 0.603494 | + | 0.797367i | \(0.293775\pi\) |
−0.820357 | + | 0.571852i | \(0.806225\pi\) | |||||||
\(168\) | −33.3260 | − | 30.6413i | −2.57116 | − | 2.36403i | ||||
\(169\) | 7.59584 | + | 10.4548i | 0.584296 | + | 0.804214i | ||||
\(170\) | −7.64183 | − | 25.0782i | −0.586102 | − | 1.92341i | ||||
\(171\) | 0.0608624 | + | 0.00639689i | 0.00465426 | + | 0.000489183i | ||||
\(172\) | 22.5242 | − | 18.2397i | 1.71745 | − | 1.39076i | ||||
\(173\) | −0.806056 | + | 15.3805i | −0.0612833 | + | 1.16935i | 0.778934 | + | 0.627105i | \(0.215760\pi\) |
−0.840218 | + | 0.542249i | \(0.817573\pi\) | |||||||
\(174\) | −4.45302 | −0.337582 | ||||||||
\(175\) | 12.7601 | − | 3.49012i | 0.964570 | − | 0.263828i | ||||
\(176\) | −47.2523 | −3.56177 | ||||||||
\(177\) | −0.718109 | + | 13.7023i | −0.0539764 | + | 1.02993i | ||||
\(178\) | 16.5043 | − | 13.3649i | 1.23705 | − | 1.00174i | ||||
\(179\) | −0.501141 | − | 0.0526720i | −0.0374570 | − | 0.00393689i | 0.0857814 | − | 0.996314i | \(-0.472661\pi\) |
−0.123238 | + | 0.992377i | \(0.539328\pi\) | |||||||
\(180\) | −10.2220 | + | 29.5980i | −0.761905 | + | 2.20610i | ||||
\(181\) | 7.22957 | + | 9.95064i | 0.537369 | + | 0.739625i | 0.988231 | − | 0.152968i | \(-0.0488832\pi\) |
−0.450862 | + | 0.892594i | \(0.648883\pi\) | |||||||
\(182\) | −1.85720 | − | 0.415021i | −0.137665 | − | 0.0307634i | ||||
\(183\) | 0.736269 | − | 4.64862i | 0.0544266 | − | 0.343636i | ||||
\(184\) | −7.94415 | + | 37.3743i | −0.585651 | + | 2.75527i | ||||
\(185\) | −0.0281060 | − | 0.0450717i | −0.00206640 | − | 0.00331374i | ||||
\(186\) | 25.0009 | − | 5.31410i | 1.83315 | − | 0.389649i | ||||
\(187\) | 20.5954 | − | 13.3748i | 1.50608 | − | 0.978062i | ||||
\(188\) | −7.35535 | + | 14.4357i | −0.536444 | + | 1.05283i | ||||
\(189\) | 0.101775 | + | 0.103917i | 0.00740305 | + | 0.00755888i | ||||
\(190\) | −0.118920 | + | 0.00404270i | −0.00862737 | + | 0.000293288i | ||||
\(191\) | 13.0831 | + | 2.78090i | 0.946659 | + | 0.201219i | 0.655277 | − | 0.755388i | \(-0.272552\pi\) |
0.291382 | + | 0.956607i | \(0.405885\pi\) | |||||||
\(192\) | −10.8229 | + | 4.15452i | −0.781076 | + | 0.299827i | ||||
\(193\) | 2.41364 | + | 0.646732i | 0.173737 | + | 0.0465528i | 0.344639 | − | 0.938735i | \(-0.388001\pi\) |
−0.170902 | + | 0.985288i | \(0.554668\pi\) | |||||||
\(194\) | −3.79896 | − | 36.1447i | −0.272750 | − | 2.59504i | ||||
\(195\) | 0.288419 | + | 1.49114i | 0.0206541 | + | 0.106783i | ||||
\(196\) | −28.8482 | + | 15.8637i | −2.06059 | + | 1.13312i | ||||
\(197\) | 4.03436 | + | 25.4720i | 0.287436 | + | 1.81480i | 0.533784 | + | 0.845621i | \(0.320769\pi\) |
−0.246348 | + | 0.969181i | \(0.579231\pi\) | |||||||
\(198\) | −41.7470 | − | 2.18787i | −2.96683 | − | 0.155485i | ||||
\(199\) | −9.50790 | − | 16.4682i | −0.673997 | − | 1.16740i | −0.976761 | − | 0.214332i | \(-0.931243\pi\) |
0.302764 | − | 0.953066i | \(-0.402091\pi\) | |||||||
\(200\) | 6.74057 | − | 34.3381i | 0.476630 | − | 2.42807i | ||||
\(201\) | −32.1822 | − | 18.5804i | −2.26996 | − | 1.31056i | ||||
\(202\) | −2.52499 | − | 4.95557i | −0.177658 | − | 0.348673i | ||||
\(203\) | −0.593559 | + | 1.76406i | −0.0416597 | + | 0.123813i | ||||
\(204\) | 30.6072 | − | 42.1272i | 2.14293 | − | 2.94949i | ||||
\(205\) | 12.0808 | − | 3.68127i | 0.843761 | − | 0.257111i | ||||
\(206\) | 10.7261 | − | 24.0913i | 0.747324 | − | 1.67852i | ||||
\(207\) | −4.20729 | + | 15.7018i | −0.292427 | + | 1.09135i | ||||
\(208\) | −1.52342 | + | 1.88126i | −0.105630 | + | 0.130442i | ||||
\(209\) | −0.0344421 | − | 0.106002i | −0.00238241 | − | 0.00733230i | ||||
\(210\) | 29.6503 | + | 22.8748i | 2.04606 | + | 1.57851i | ||||
\(211\) | 1.55379 | − | 4.78206i | 0.106967 | − | 0.329211i | −0.883220 | − | 0.468959i | \(-0.844629\pi\) |
0.990187 | + | 0.139748i | \(0.0446293\pi\) | |||||||
\(212\) | −9.53909 | − | 14.6889i | −0.655147 | − | 1.00884i | ||||
\(213\) | 3.31011 | − | 0.173476i | 0.226805 | − | 0.0118864i | ||||
\(214\) | −3.40301 | − | 16.0099i | −0.232625 | − | 1.09442i | ||||
\(215\) | −9.92111 | + | 9.56300i | −0.676614 | + | 0.652191i | ||||
\(216\) | 0.365932 | − | 0.118899i | 0.0248985 | − | 0.00809002i | ||||
\(217\) | 1.22728 | − | 10.6124i | 0.0833135 | − | 0.720417i | ||||
\(218\) | −30.8343 | + | 30.8343i | −2.08836 | + | 2.08836i | ||||
\(219\) | 19.9586 | − | 2.09773i | 1.34868 | − | 0.141752i | ||||
\(220\) | 56.8175 | − | 4.91796i | 3.83064 | − | 0.331569i | ||||
\(221\) | 0.131503 | − | 1.25117i | 0.00884587 | − | 0.0841628i | ||||
\(222\) | 0.0538863 | − | 0.140379i | 0.00361661 | − | 0.00942159i | ||||
\(223\) | −24.4072 | + | 12.4361i | −1.63443 | + | 0.832782i | −0.636311 | + | 0.771433i | \(0.719540\pi\) |
−0.998116 | + | 0.0613496i | \(0.980460\pi\) | |||||||
\(224\) | 0.949958 | + | 22.6344i | 0.0634717 | + | 1.51232i | ||||
\(225\) | 3.62833 | − | 14.4387i | 0.241889 | − | 0.962577i | ||||
\(226\) | −2.75157 | + | 4.76585i | −0.183031 | + | 0.317020i | ||||
\(227\) | 6.22698 | − | 9.58871i | 0.413299 | − | 0.636425i | −0.569307 | − | 0.822125i | \(-0.692789\pi\) |
0.982607 | + | 0.185700i | \(0.0594552\pi\) | |||||||
\(228\) | −0.148732 | − | 0.183669i | −0.00985003 | − | 0.0121638i | ||||
\(229\) | −9.83654 | + | 4.37951i | −0.650017 | + | 0.289406i | −0.705134 | − | 0.709074i | \(-0.749113\pi\) |
0.0551173 | + | 0.998480i | \(0.482447\pi\) | |||||||
\(230\) | 3.88088 | − | 31.3674i | 0.255898 | − | 2.06831i | ||||
\(231\) | −12.9112 | + | 32.6155i | −0.849497 | + | 2.14594i | ||||
\(232\) | 3.48141 | + | 3.48141i | 0.228566 | + | 0.228566i | ||||
\(233\) | −5.39101 | − | 4.36556i | −0.353177 | − | 0.285997i | 0.436270 | − | 0.899816i | \(-0.356299\pi\) |
−0.789447 | + | 0.613819i | \(0.789633\pi\) | |||||||
\(234\) | −1.43303 | + | 1.59154i | −0.0936801 | + | 0.104042i | ||||
\(235\) | 2.89213 | − | 7.13925i | 0.188662 | − | 0.465713i | ||||
\(236\) | 19.6153 | − | 17.6617i | 1.27685 | − | 1.14968i | ||||
\(237\) | −5.52900 | − | 2.81717i | −0.359147 | − | 0.182995i | ||||
\(238\) | −17.9707 | − | 25.2842i | −1.16487 | − | 1.63893i | ||||
\(239\) | −16.7344 | − | 5.43732i | −1.08246 | − | 0.351711i | −0.287129 | − | 0.957892i | \(-0.592701\pi\) |
−0.795327 | + | 0.606181i | \(0.792701\pi\) | |||||||
\(240\) | 42.8349 | − | 20.8430i | 2.76498 | − | 1.34541i | ||||
\(241\) | −0.793839 | − | 0.714776i | −0.0511357 | − | 0.0460427i | 0.643167 | − | 0.765726i | \(-0.277620\pi\) |
−0.694302 | + | 0.719683i | \(0.744287\pi\) | |||||||
\(242\) | 17.0787 | + | 44.4916i | 1.09786 | + | 2.86003i | ||||
\(243\) | 21.2531 | − | 5.69475i | 1.36339 | − | 0.365318i | ||||
\(244\) | −7.32476 | + | 5.32175i | −0.468920 | + | 0.340690i | ||||
\(245\) | 13.0140 | − | 8.69686i | 0.831435 | − | 0.555622i | ||||
\(246\) | 28.9235 | + | 21.0142i | 1.84410 | + | 1.33981i | ||||
\(247\) | −0.00533068 | − | 0.00204625i | −0.000339183 | − | 0.000130200i | ||||
\(248\) | −23.7005 | − | 15.3913i | −1.50498 | − | 0.977348i | ||||
\(249\) | 14.4686 | − | 8.35343i | 0.916908 | − | 0.529377i | ||||
\(250\) | −3.10557 | + | 28.7794i | −0.196413 | + | 1.82017i | ||||
\(251\) | − | 20.3040i | − | 1.28158i | −0.767716 | − | 0.640790i | \(-0.778607\pi\) | ||
0.767716 | − | 0.640790i | \(-0.221393\pi\) | |||||||
\(252\) | −0.385870 | + | 37.0486i | −0.0243075 | + | 2.33384i | ||||
\(253\) | 29.2414 | − | 4.63139i | 1.83839 | − | 0.291173i | ||||
\(254\) | 11.0055 | + | 24.7186i | 0.690543 | + | 1.55099i | ||||
\(255\) | −12.7704 | + | 21.2091i | −0.799713 | + | 1.32816i | ||||
\(256\) | −20.1315 | − | 8.96313i | −1.25822 | − | 0.560196i | ||||
\(257\) | −5.93369 | − | 22.1448i | −0.370133 | − | 1.38136i | −0.860327 | − | 0.509742i | \(-0.829741\pi\) |
0.490194 | − | 0.871613i | \(-0.336926\pi\) | |||||||
\(258\) | −38.5278 | − | 6.10221i | −2.39864 | − | 0.379907i | ||||
\(259\) | −0.0484281 | − | 0.0400586i | −0.00300918 | − | 0.00248912i | ||||
\(260\) | 1.63600 | − | 2.42064i | 0.101460 | − | 0.150122i | ||||
\(261\) | 1.40158 | + | 1.55661i | 0.0867557 | + | 0.0963519i | ||||
\(262\) | 2.51268 | + | 47.9449i | 0.155234 | + | 2.96204i | ||||
\(263\) | −1.24452 | − | 23.7468i | −0.0767401 | − | 1.46429i | −0.717506 | − | 0.696553i | \(-0.754716\pi\) |
0.640766 | − | 0.767737i | \(-0.278617\pi\) | |||||||
\(264\) | 62.0889 | + | 68.9567i | 3.82131 | + | 4.24399i | ||||
\(265\) | 5.12057 | + | 6.56654i | 0.314554 | + | 0.403379i | ||||
\(266\) | −0.131957 | + | 0.0490828i | −0.00809078 | + | 0.00300946i | ||||
\(267\) | −19.8077 | − | 3.13723i | −1.21221 | − | 0.191995i | ||||
\(268\) | 18.5017 | + | 69.0495i | 1.13017 | + | 4.21787i | ||||
\(269\) | −5.31165 | − | 2.36490i | −0.323857 | − | 0.144190i | 0.238368 | − | 0.971175i | \(-0.423388\pi\) |
−0.562225 | + | 0.826985i | \(0.690054\pi\) | |||||||
\(270\) | −0.293089 | + | 0.124089i | −0.0178368 | + | 0.00755183i | ||||
\(271\) | 6.85867 | + | 15.4048i | 0.416635 | + | 0.935777i | 0.992948 | + | 0.118548i | \(0.0378240\pi\) |
−0.576314 | + | 0.817229i | \(0.695509\pi\) | |||||||
\(272\) | −38.9734 | + | 6.17279i | −2.36311 | + | 0.374280i | ||||
\(273\) | 0.882266 | + | 1.56556i | 0.0533972 | + | 0.0947521i | ||||
\(274\) | − | 28.5343i | − | 1.72382i | ||||||
\(275\) | −26.7109 | + | 4.65894i | −1.61073 | + | 0.280945i | ||||
\(276\) | 54.3670 | − | 31.3888i | 3.27251 | − | 1.88938i | ||||
\(277\) | −17.4987 | − | 11.3638i | −1.05139 | − | 0.682782i | −0.101333 | − | 0.994853i | \(-0.532311\pi\) |
−0.950059 | + | 0.312071i | \(0.898977\pi\) | |||||||
\(278\) | 13.5614 | + | 5.20574i | 0.813359 | + | 0.312219i | ||||
\(279\) | −9.72661 | − | 7.06679i | −0.582317 | − | 0.423078i | ||||
\(280\) | −5.29713 | − | 41.0645i | −0.316564 | − | 2.45407i | ||||
\(281\) | −10.0464 | + | 7.29912i | −0.599316 | + | 0.435429i | −0.845636 | − | 0.533760i | \(-0.820779\pi\) |
0.246320 | + | 0.969189i | \(0.420779\pi\) | |||||||
\(282\) | 21.0625 | − | 5.64367i | 1.25425 | − | 0.336076i | ||||
\(283\) | 1.77767 | + | 4.63100i | 0.105672 | + | 0.275284i | 0.976214 | − | 0.216809i | \(-0.0695650\pi\) |
−0.870542 | + | 0.492094i | \(0.836232\pi\) | |||||||
\(284\) | −4.73853 | − | 4.26659i | −0.281180 | − | 0.253176i | ||||
\(285\) | 0.0779796 | + | 0.0808998i | 0.00461911 | + | 0.00479209i | ||||
\(286\) | 3.70957 | + | 1.20531i | 0.219351 | + | 0.0712715i | ||||
\(287\) | 12.1801 | − | 8.65697i | 0.718967 | − | 0.511005i | ||||
\(288\) | 22.7163 | + | 11.5745i | 1.33857 | + | 0.682035i | ||||
\(289\) | 2.60629 | − | 2.34672i | 0.153311 | − | 0.138042i | ||||
\(290\) | −3.11742 | − | 2.62074i | −0.183061 | − | 0.153895i | ||||
\(291\) | −22.9647 | + | 25.5049i | −1.34622 | + | 1.49512i | ||||
\(292\) | −30.0020 | − | 24.2951i | −1.75573 | − | 1.42176i | ||||
\(293\) | 7.51221 | + | 7.51221i | 0.438868 | + | 0.438868i | 0.891631 | − | 0.452763i | \(-0.149562\pi\) |
−0.452763 | + | 0.891631i | \(0.649562\pi\) | |||||||
\(294\) | 41.8467 | + | 14.5672i | 2.44055 | + | 0.849577i | ||||
\(295\) | −8.56699 | + | 9.16996i | −0.498790 | + | 0.533896i | ||||
\(296\) | −0.151878 | + | 0.0676204i | −0.00882773 | + | 0.00393036i | ||||
\(297\) | −0.187619 | − | 0.231690i | −0.0108867 | − | 0.0134440i | ||||
\(298\) | −3.70858 | + | 5.71071i | −0.214832 | + | 0.330812i | ||||
\(299\) | 0.758354 | − | 1.31351i | 0.0438568 | − | 0.0759621i | ||||
\(300\) | −49.3366 | + | 29.5204i | −2.84845 | + | 1.70436i | ||||
\(301\) | −7.55291 | + | 14.4494i | −0.435342 | + | 0.832849i | ||||
\(302\) | −11.6552 | + | 5.93860i | −0.670679 | + | 0.341728i | ||||
\(303\) | −1.88218 | + | 4.90325i | −0.108129 | + | 0.281685i | ||||
\(304\) | −0.0187203 | + | 0.178111i | −0.00107368 | + | 0.0102154i | ||||
\(305\) | 3.25130 | − | 2.82104i | 0.186169 | − | 0.161532i | ||||
\(306\) | −34.7185 | + | 3.64906i | −1.98472 | + | 0.208603i | ||||
\(307\) | −2.99332 | + | 2.99332i | −0.170838 | + | 0.170838i | −0.787347 | − | 0.616510i | \(-0.788546\pi\) |
0.616510 | + | 0.787347i | \(0.288546\pi\) | |||||||
\(308\) | 61.9274 | − | 26.8026i | 3.52864 | − | 1.52722i | ||||
\(309\) | −23.6840 | + | 7.69540i | −1.34734 | + | 0.437776i | ||||
\(310\) | 20.6299 | + | 10.9936i | 1.17170 | + | 0.624393i | ||||
\(311\) | −0.840907 | − | 3.95616i | −0.0476835 | − | 0.224333i | 0.947853 | − | 0.318707i | \(-0.103248\pi\) |
−0.995537 | + | 0.0943736i | \(0.969915\pi\) | |||||||
\(312\) | 4.74713 | − | 0.248786i | 0.268753 | − | 0.0140848i | ||||
\(313\) | 7.81404 | + | 12.0326i | 0.441676 | + | 0.680121i | 0.987472 | − | 0.157797i | \(-0.0504393\pi\) |
−0.545796 | + | 0.837918i | \(0.683773\pi\) | |||||||
\(314\) | 5.02199 | − | 15.4561i | 0.283407 | − | 0.872238i | ||||
\(315\) | −1.33619 | − | 17.5645i | −0.0752855 | − | 0.989645i | ||||
\(316\) | 3.68876 | + | 11.3528i | 0.207509 | + | 0.638646i | ||||
\(317\) | 14.3918 | − | 17.7724i | 0.808322 | − | 0.998195i | −0.191538 | − | 0.981485i | \(-0.561348\pi\) |
0.999860 | − | 0.0167098i | \(-0.00531916\pi\) | |||||||
\(318\) | −6.10103 | + | 22.7693i | −0.342129 | + | 1.27684i | ||||
\(319\) | 1.55165 | − | 3.48506i | 0.0868756 | − | 0.195126i | ||||
\(320\) | −10.0219 | − | 3.46117i | −0.560239 | − | 0.193485i | ||||
\(321\) | −9.08496 | + | 12.5044i | −0.507073 | + | 0.697926i | ||||
\(322\) | −7.39397 | − | 36.6592i | −0.412050 | − | 2.04294i | ||||
\(323\) | −0.0422552 | − | 0.0829304i | −0.00235114 | − | 0.00461437i | ||||
\(324\) | −36.9304 | − | 21.3218i | −2.05169 | − | 1.18454i | ||||
\(325\) | −0.675673 | + | 1.21365i | −0.0374796 | + | 0.0673211i | ||||
\(326\) | 25.2784 | + | 43.7835i | 1.40004 | + | 2.42494i | ||||
\(327\) | 41.1219 | + | 2.15511i | 2.27405 | + | 0.119178i | ||||
\(328\) | −6.18360 | − | 39.0417i | −0.341432 | − | 2.15572i | ||||
\(329\) | 0.571759 | − | 9.09614i | 0.0315221 | − | 0.501486i | ||||
\(330\) | −56.0873 | − | 52.3993i | −3.08751 | − | 2.88449i | ||||
\(331\) | −3.52843 | − | 33.5708i | −0.193940 | − | 1.84522i | −0.468277 | − | 0.883582i | \(-0.655125\pi\) |
0.274337 | − | 0.961634i | \(-0.411542\pi\) | |||||||
\(332\) | −31.0435 | − | 8.31808i | −1.70373 | − | 0.456514i | ||||
\(333\) | −0.0660319 | + | 0.0253473i | −0.00361852 | + | 0.00138902i | ||||
\(334\) | −45.3687 | − | 9.64341i | −2.48246 | − | 0.527664i | ||||
\(335\) | −11.5946 | − | 31.9478i | −0.633482 | − | 1.74550i | ||||
\(336\) | 40.2687 | − | 39.4385i | 2.19684 | − | 2.15155i | ||||
\(337\) | 11.5586 | − | 22.6851i | 0.629640 | − | 1.23574i | −0.327155 | − | 0.944971i | \(-0.606090\pi\) |
0.956794 | − | 0.290766i | \(-0.0939102\pi\) | |||||||
\(338\) | −28.0601 | + | 18.2224i | −1.52627 | + | 0.991170i | ||||
\(339\) | 5.08316 | − | 1.08046i | 0.276080 | − | 0.0586825i | ||||
\(340\) | 46.2204 | − | 11.4787i | 2.50665 | − | 0.622517i | ||||
\(341\) | −4.55255 | + | 21.4181i | −0.246535 | + | 1.15985i | ||||
\(342\) | −0.0247861 | + | 0.156493i | −0.00134028 | + | 0.00846217i | ||||
\(343\) | 11.3487 | − | 14.6358i | 0.612772 | − | 0.790260i | ||||
\(344\) | 25.3506 | + | 34.8922i | 1.36682 | + | 1.88126i | ||||
\(345\) | −24.4649 | + | 17.0968i | −1.31714 | + | 0.920461i | ||||
\(346\) | −39.6570 | − | 4.16812i | −2.13197 | − | 0.224079i | ||||
\(347\) | −0.172059 | + | 0.139330i | −0.00923659 | + | 0.00747964i | −0.633928 | − | 0.773392i | \(-0.718558\pi\) |
0.624691 | + | 0.780872i | \(0.285225\pi\) | |||||||
\(348\) | 0.423356 | − | 8.07812i | 0.0226943 | − | 0.433033i | ||||
\(349\) | 9.15927 | 0.490285 | 0.245142 | − | 0.969487i | \(-0.421165\pi\) | ||||
0.245142 | + | 0.969487i | \(0.421165\pi\) | |||||||
\(350\) | 7.29471 | + | 33.4641i | 0.389919 | + | 1.78873i | ||||
\(351\) | −0.0152731 | −0.000815219 | ||||||||
\(352\) | 2.43013 | − | 46.3695i | 0.129526 | − | 2.47151i | ||||
\(353\) | −15.3807 | + | 12.4551i | −0.818634 | + | 0.662917i | −0.944274 | − | 0.329159i | \(-0.893235\pi\) |
0.125641 | + | 0.992076i | \(0.459901\pi\) | |||||||
\(354\) | −35.3301 | − | 3.71334i | −1.87777 | − | 0.197362i | ||||
\(355\) | 2.41941 | + | 1.82666i | 0.128409 | + | 0.0969492i | ||||
\(356\) | 22.6759 | + | 31.2107i | 1.20182 | + | 1.65416i | ||||
\(357\) | −6.38840 | + | 28.5877i | −0.338110 | + | 1.51302i | ||||
\(358\) | 0.204089 | − | 1.28856i | 0.0107864 | − | 0.0681027i | ||||
\(359\) | 1.99733 | − | 9.39672i | 0.105415 | − | 0.495940i | −0.893487 | − | 0.449090i | \(-0.851748\pi\) |
0.998902 | − | 0.0468502i | \(-0.0149183\pi\) | |||||||
\(360\) | −43.1875 | − | 17.4954i | −2.27618 | − | 0.922087i | ||||
\(361\) | 18.5844 | − | 3.95023i | 0.978126 | − | 0.207907i | ||||
\(362\) | −26.7070 | + | 17.3437i | −1.40369 | + | 0.911567i | ||||
\(363\) | 20.4311 | − | 40.0984i | 1.07236 | − | 2.10462i | ||||
\(364\) | 0.929448 | − | 3.32964i | 0.0487163 | − | 0.174521i | ||||
\(365\) | 15.2070 | + | 10.2777i | 0.795970 | + | 0.537960i | ||||
\(366\) | 11.9193 | + | 2.53352i | 0.623029 | + | 0.132429i | ||||
\(367\) | −15.0988 | + | 5.79588i | −0.788151 | + | 0.302543i | −0.718952 | − | 0.695060i | \(-0.755378\pi\) |
−0.0691990 | + | 0.997603i | \(0.522044\pi\) | |||||||
\(368\) | −45.9507 | − | 12.3125i | −2.39535 | − | 0.641832i | ||||
\(369\) | −1.75785 | − | 16.7248i | −0.0915098 | − | 0.870658i | ||||
\(370\) | 0.120341 | − | 0.0665610i | 0.00625626 | − | 0.00346034i | ||||
\(371\) | 8.20683 | + | 5.45193i | 0.426077 | + | 0.283050i | ||||
\(372\) | 7.26331 | + | 45.8588i | 0.376585 | + | 2.37767i | ||||
\(373\) | −14.5461 | − | 0.762331i | −0.753171 | − | 0.0394720i | −0.328113 | − | 0.944638i | \(-0.606413\pi\) |
−0.425057 | + | 0.905166i | \(0.639746\pi\) | |||||||
\(374\) | 31.7899 | + | 55.0617i | 1.64382 | + | 2.84717i | ||||
\(375\) | 22.1588 | − | 16.0056i | 1.14427 | − | 0.826524i | ||||
\(376\) | −20.8791 | − | 12.0545i | −1.07676 | − | 0.621665i | ||||
\(377\) | −0.0887258 | − | 0.174134i | −0.00456961 | − | 0.00896837i | ||||
\(378\) | −0.282469 | + | 0.249059i | −0.0145286 | + | 0.0128102i | ||||
\(379\) | −12.1419 | + | 16.7119i | −0.623687 | + | 0.858432i | −0.997615 | − | 0.0690260i | \(-0.978011\pi\) |
0.373928 | + | 0.927458i | \(0.378011\pi\) | |||||||
\(380\) | 0.00397218 | − | 0.216115i | 0.000203768 | − | 0.0110865i | ||||
\(381\) | 10.3927 | − | 23.3423i | 0.532433 | − | 1.19586i | ||||
\(382\) | −8.96278 | + | 33.4496i | −0.458576 | + | 1.71143i | ||||
\(383\) | −21.5547 | + | 26.6178i | −1.10139 | + | 1.36011i | −0.174552 | + | 0.984648i | \(0.555848\pi\) |
−0.926840 | + | 0.375458i | \(0.877486\pi\) | |||||||
\(384\) | 3.66321 | + | 11.2742i | 0.186937 | + | 0.575333i | ||||
\(385\) | −28.2340 | + | 15.2344i | −1.43894 | + | 0.776419i | ||||
\(386\) | −1.99918 | + | 6.15283i | −0.101755 | + | 0.313171i | ||||
\(387\) | 9.99347 | + | 15.3886i | 0.507997 | + | 0.782247i | ||||
\(388\) | 65.9305 | − | 3.45527i | 3.34711 | − | 0.175415i | ||||
\(389\) | −0.617880 | − | 2.90689i | −0.0313277 | − | 0.147385i | 0.959704 | − | 0.281014i | \(-0.0906706\pi\) |
−0.991032 | + | 0.133628i | \(0.957337\pi\) | |||||||
\(390\) | −3.89444 | + | 0.543656i | −0.197203 | + | 0.0275291i | ||||
\(391\) | 23.5131 | − | 7.63989i | 1.18911 | − | 0.386366i | ||||
\(392\) | −21.3274 | − | 44.1049i | −1.07719 | − | 2.22763i | ||||
\(393\) | 32.0585 | − | 32.0585i | 1.61713 | − | 1.61713i | ||||
\(394\) | −66.4045 | + | 6.97939i | −3.34541 | + | 0.351617i | ||||
\(395\) | −2.21269 | − | 5.22621i | −0.111333 | − | 0.262959i | ||||
\(396\) | 7.93792 | − | 75.5242i | 0.398895 | − | 3.79524i | ||||
\(397\) | −6.49782 | + | 16.9274i | −0.326116 | + | 0.849562i | 0.668286 | + | 0.743904i | \(0.267028\pi\) |
−0.994403 | + | 0.105658i | \(0.966305\pi\) | |||||||
\(398\) | 43.8668 | − | 22.3513i | 2.19884 | − | 1.12037i | ||||
\(399\) | 0.117825 | + | 0.0615887i | 0.00589861 | + | 0.00308329i | ||||
\(400\) | 42.2542 | + | 10.6182i | 2.11271 | + | 0.530909i | ||||
\(401\) | 14.8272 | − | 25.6815i | 0.740436 | − | 1.28247i | −0.211862 | − | 0.977300i | \(-0.567953\pi\) |
0.952297 | − | 0.305172i | \(-0.0987141\pi\) | |||||||
\(402\) | 52.4003 | − | 80.6895i | 2.61349 | − | 4.02442i | ||||
\(403\) | 0.705946 | + | 0.871771i | 0.0351657 | + | 0.0434260i | ||||
\(404\) | 9.22985 | − | 4.10939i | 0.459202 | − | 0.204450i | ||||
\(405\) | 18.3668 | + | 8.58528i | 0.912656 | + | 0.426606i | ||||
\(406\) | −4.48055 | − | 1.77368i | −0.222366 | − | 0.0880262i | ||||
\(407\) | 0.0910876 | + | 0.0910876i | 0.00451505 | + | 0.00451505i | ||||
\(408\) | 60.2187 | + | 48.7642i | 2.98127 | + | 2.41419i | ||||
\(409\) | −5.99960 | + | 6.66323i | −0.296661 | + | 0.329476i | −0.872986 | − | 0.487745i | \(-0.837820\pi\) |
0.576325 | + | 0.817221i | \(0.304486\pi\) | |||||||
\(410\) | 7.88097 | + | 31.7338i | 0.389213 | + | 1.56722i | ||||
\(411\) | −20.0244 | + | 18.0301i | −0.987731 | + | 0.889357i | ||||
\(412\) | 42.6837 | + | 21.7484i | 2.10287 | + | 1.07147i | ||||
\(413\) | −6.18032 | + | 13.5010i | −0.304114 | + | 0.664342i | ||||
\(414\) | −40.0270 | − | 13.0056i | −1.96722 | − | 0.639188i | ||||
\(415\) | 15.0453 | + | 2.66723i | 0.738543 | + | 0.130929i | ||||
\(416\) | −1.76777 | − | 1.59171i | −0.0866720 | − | 0.0780398i | ||||
\(417\) | −4.91589 | − | 12.8063i | −0.240732 | − | 0.627128i | ||||
\(418\) | 0.278735 | − | 0.0746868i | 0.0136334 | − | 0.00365305i | ||||
\(419\) | −13.9434 | + | 10.1305i | −0.681179 | + | 0.494905i | −0.873748 | − | 0.486378i | \(-0.838318\pi\) |
0.192570 | + | 0.981283i | \(0.438318\pi\) | |||||||
\(420\) | −44.3155 | + | 51.6131i | −2.16238 | + | 2.51846i | ||||
\(421\) | −9.71469 | − | 7.05813i | −0.473465 | − | 0.343992i | 0.325325 | − | 0.945602i | \(-0.394526\pi\) |
−0.798790 | + | 0.601610i | \(0.794526\pi\) | |||||||
\(422\) | 12.1535 | + | 4.66529i | 0.591623 | + | 0.227103i | ||||
\(423\) | −8.60220 | − | 5.58633i | −0.418253 | − | 0.271617i | ||||
\(424\) | 22.5711 | − | 13.0314i | 1.09615 | − | 0.632863i | ||||
\(425\) | −21.4224 | + | 7.33204i | −1.03914 | + | 0.355656i | ||||
\(426\) | 8.58181i | 0.415790i | ||||||||
\(427\) | 2.59241 | − | 4.38410i | 0.125456 | − | 0.212162i | ||||
\(428\) | 29.3668 | − | 4.65124i | 1.41950 | − | 0.224826i | ||||
\(429\) | −1.49813 | − | 3.36486i | −0.0723304 | − | 0.162457i | ||||
\(430\) | −23.3808 | − | 26.9469i | −1.12752 | − | 1.29949i | ||||
\(431\) | −20.7997 | − | 9.26062i | −1.00189 | − | 0.446068i | −0.160810 | − | 0.986985i | \(-0.551411\pi\) |
−0.841076 | + | 0.540917i | \(0.818077\pi\) | |||||||
\(432\) | 0.123985 | + | 0.462720i | 0.00596525 | + | 0.0222626i | ||||
\(433\) | 4.17371 | + | 0.661050i | 0.200576 | + | 0.0317680i | 0.255914 | − | 0.966700i | \(-0.417624\pi\) |
−0.0553382 | + | 0.998468i | \(0.517624\pi\) | |||||||
\(434\) | 27.2721 | + | 4.61113i | 1.30910 | + | 0.221341i | ||||
\(435\) | 0.130666 | + | 3.84369i | 0.00626498 | + | 0.184291i | ||||
\(436\) | −53.0043 | − | 58.8673i | −2.53845 | − | 2.81923i | ||||
\(437\) | −0.00587264 | − | 0.112057i | −0.000280926 | − | 0.00536039i | ||||
\(438\) | 2.71929 | + | 51.8872i | 0.129933 | + | 2.47927i | ||||
\(439\) | 8.37528 | + | 9.30169i | 0.399730 | + | 0.443945i | 0.909085 | − | 0.416612i | \(-0.136782\pi\) |
−0.509355 | + | 0.860557i | \(0.670116\pi\) | |||||||
\(440\) | 2.88332 | + | 84.8158i | 0.137457 | + | 4.04343i | ||||
\(441\) | −8.07903 | − | 19.2131i | −0.384716 | − | 0.914909i | ||||
\(442\) | 3.21709 | + | 0.509536i | 0.153021 | + | 0.0242362i | ||||
\(443\) | 4.30238 | + | 16.0567i | 0.204412 | + | 0.762877i | 0.989628 | + | 0.143655i | \(0.0458855\pi\) |
−0.785216 | + | 0.619223i | \(0.787448\pi\) | |||||||
\(444\) | 0.249535 | + | 0.111100i | 0.0118424 | + | 0.00527257i | ||||
\(445\) | −12.0204 | − | 13.8537i | −0.569822 | − | 0.656730i | ||||
\(446\) | −28.8464 | − | 64.7900i | −1.36591 | − | 3.06789i | ||||
\(447\) | 6.35094 | − | 1.00589i | 0.300389 | − | 0.0475770i | ||||
\(448\) | −12.5446 | − | 0.130655i | −0.592677 | − | 0.00617288i | ||||
\(449\) | − | 30.5962i | − | 1.44392i | −0.691934 | − | 0.721961i | \(-0.743241\pi\) | ||
0.691934 | − | 0.721961i | \(-0.256759\pi\) | |||||||
\(450\) | 36.8396 | + | 11.3375i | 1.73663 | + | 0.534456i | ||||
\(451\) | −26.5246 | + | 15.3140i | −1.24900 | + | 0.721108i | ||||
\(452\) | −8.38403 | − | 5.44465i | −0.394352 | − | 0.256095i | ||||
\(453\) | 11.5321 | + | 4.42676i | 0.541825 | + | 0.207987i | ||||
\(454\) | 23.9479 | + | 17.3991i | 1.12393 | + | 0.816582i | ||||
\(455\) | −0.303735 | + | 1.61524i | −0.0142393 | + | 0.0757238i | ||||
\(456\) | 0.284521 | − | 0.206717i | 0.0133239 | − | 0.00968041i | ||||
\(457\) | 27.3640 | − | 7.33215i | 1.28003 | − | 0.342984i | 0.446166 | − | 0.894950i | \(-0.352789\pi\) |
0.833866 | + | 0.551967i | \(0.186122\pi\) | |||||||
\(458\) | −9.99038 | − | 26.0258i | −0.466820 | − | 1.21611i | ||||
\(459\) | −0.185014 | − | 0.166587i | −0.00863569 | − | 0.00777561i | ||||
\(460\) | 56.5340 | + | 10.0224i | 2.63591 | + | 0.467296i | ||||
\(461\) | −5.27336 | − | 1.71342i | −0.245605 | − | 0.0798018i | 0.183628 | − | 0.982996i | \(-0.441216\pi\) |
−0.429233 | + | 0.903194i | \(0.641216\pi\) | |||||||
\(462\) | −82.5780 | − | 37.8014i | −3.84187 | − | 1.75868i | ||||
\(463\) | −34.5741 | − | 17.6164i | −1.60680 | − | 0.818703i | −0.999710 | − | 0.0240660i | \(-0.992339\pi\) |
−0.607085 | − | 0.794637i | \(-0.707661\pi\) | |||||||
\(464\) | −4.55537 | + | 4.10167i | −0.211478 | + | 0.190415i | ||||
\(465\) | −5.32055 | − | 21.4239i | −0.246735 | − | 0.993511i | ||||
\(466\) | 12.0176 | − | 13.3469i | 0.556706 | − | 0.618285i | ||||
\(467\) | 14.6499 | + | 11.8632i | 0.677916 | + | 0.548966i | 0.905265 | − | 0.424848i | \(-0.139672\pi\) |
−0.227349 | + | 0.973813i | \(0.573006\pi\) | |||||||
\(468\) | −2.75094 | − | 2.75094i | −0.127162 | − | 0.127162i | ||||
\(469\) | −24.9804 | − | 31.5138i | −1.15349 | − | 1.45517i | ||||
\(470\) | 18.0667 | + | 8.44497i | 0.833353 | + | 0.389538i | ||||
\(471\) | −14.0198 | + | 6.24204i | −0.646000 | + | 0.287618i | ||||
\(472\) | 24.7183 | + | 30.5245i | 1.13775 | + | 1.40500i | ||||
\(473\) | 18.2007 | − | 28.0267i | 0.836871 | − | 1.28867i | ||||
\(474\) | 8.03298 | − | 13.9135i | 0.368967 | − | 0.639069i | ||||
\(475\) | 0.00697903 | + | 0.102529i | 0.000320220 | + | 0.00470435i | ||||
\(476\) | 47.5761 | − | 30.1965i | 2.18065 | − | 1.38406i | ||||
\(477\) | 9.87963 | − | 5.03392i | 0.452357 | − | 0.230487i | ||||
\(478\) | 16.3257 | − | 42.5300i | 0.746722 | − | 1.94528i | ||||
\(479\) | 2.02979 | − | 19.3122i | 0.0927436 | − | 0.882396i | −0.844930 | − | 0.534878i | \(-0.820358\pi\) |
0.937673 | − | 0.347519i | \(-0.112976\pi\) | |||||||
\(480\) | 18.2507 | + | 43.1066i | 0.833024 | + | 1.96754i | ||||
\(481\) | 0.00656315 | 0.000689815i | 0.000299254 | 3.14529e-5i | ||||||
\(482\) | 1.95562 | − | 1.95562i | 0.0890760 | − | 0.0890760i | ||||
\(483\) | −21.0542 | + | 28.3529i | −0.957998 | + | 1.29010i | ||||
\(484\) | −82.3349 | + | 26.7522i | −3.74250 | + | 1.21601i | ||||
\(485\) | −31.0874 | + | 4.33974i | −1.41160 | + | 0.197057i | ||||
\(486\) | 11.8440 | + | 55.7216i | 0.537254 | + | 2.52758i | ||||
\(487\) | −1.17349 | + | 0.0615003i | −0.0531761 | + | 0.00278684i | −0.0789055 | − | 0.996882i | \(-0.525143\pi\) |
0.0257293 | + | 0.999669i | \(0.491809\pi\) | |||||||
\(488\) | −7.33785 | − | 11.2993i | −0.332169 | − | 0.511495i | ||||
\(489\) | 14.7531 | − | 45.4052i | 0.667156 | − | 2.05330i | ||||
\(490\) | 20.7224 | + | 34.8262i | 0.936140 | + | 1.57329i | ||||
\(491\) | 4.11148 | + | 12.6538i | 0.185548 | + | 0.571059i | 0.999957 | − | 0.00923217i | \(-0.00293873\pi\) |
−0.814409 | + | 0.580291i | \(0.802939\pi\) | |||||||
\(492\) | −40.8711 | + | 50.4717i | −1.84261 | + | 2.27544i | ||||
\(493\) | 0.824521 | − | 3.07716i | 0.0371346 | − | 0.138588i | ||||
\(494\) | 0.00601291 | − | 0.0135052i | 0.000270533 | − | 0.000607628i | ||||
\(495\) | −0.663492 | + | 36.0987i | −0.0298218 | + | 1.62252i | ||||
\(496\) | 20.6807 | − | 28.4645i | 0.928591 | − | 1.27810i | ||||
\(497\) | 3.39968 | + | 1.14390i | 0.152496 | + | 0.0513110i | ||||
\(498\) | 19.6373 | + | 38.5404i | 0.879969 | + | 1.72704i | ||||
\(499\) | 31.8592 | + | 18.3939i | 1.42621 | + | 0.823426i | 0.996820 | − | 0.0796912i | \(-0.0253934\pi\) |
0.429395 | + | 0.903117i | \(0.358727\pi\) | |||||||
\(500\) | −51.9128 | − | 8.36985i | −2.32161 | − | 0.374311i | ||||
\(501\) | 21.8999 | + | 37.9317i | 0.978414 | + | 1.69466i | ||||
\(502\) | 52.4962 | + | 2.75121i | 2.34302 | + | 0.122792i | ||||
\(503\) | −2.14933 | − | 13.5703i | −0.0958339 | − | 0.605072i | −0.988130 | − | 0.153621i | \(-0.950907\pi\) |
0.892296 | − | 0.451451i | \(-0.149093\pi\) | |||||||
\(504\) | −55.0254 | − | 3.45875i | −2.45102 | − | 0.154065i | ||||
\(505\) | −4.20338 | + | 2.32490i | −0.187048 | + | 0.103456i | ||||
\(506\) | 8.01223 | + | 76.2313i | 0.356187 | + | 3.38890i | ||||
\(507\) | 30.5184 | + | 8.17737i | 1.35537 | + | 0.363170i | ||||
\(508\) | −45.8879 | + | 17.6147i | −2.03594 | + | 0.781526i | ||||
\(509\) | 25.4376 | + | 5.40692i | 1.12750 | + | 0.239658i | 0.733657 | − | 0.679520i | \(-0.237812\pi\) |
0.393843 | + | 0.919178i | \(0.371145\pi\) | |||||||
\(510\) | −53.1057 | − | 35.8917i | −2.35156 | − | 1.58931i | ||||
\(511\) | 20.9175 | + | 5.83899i | 0.925337 | + | 0.258302i | ||||
\(512\) | 21.4996 | − | 42.1953i | 0.950156 | − | 1.86479i | ||||
\(513\) | −0.000947654 | 0 | 0.000615414i | −4.18400e−5 | 0 | 2.71712e-5i | ||||
\(514\) | 58.0595 | − | 12.3409i | 2.56090 | − | 0.544335i | ||||
\(515\) | −21.1095 | − | 8.55149i | −0.930194 | − | 0.376824i | ||||
\(516\) | 14.7328 | − | 69.3124i | 0.648575 | − | 3.05131i | ||||
\(517\) | −2.92229 | + | 18.4506i | −0.128522 | + | 0.811456i | ||||
\(518\) | 0.110134 | − | 0.119783i | 0.00483899 | − | 0.00526297i | ||||
\(519\) | 22.1332 | + | 30.4637i | 0.971539 | + | 1.33721i | ||||
\(520\) | 3.46974 | + | 2.61967i | 0.152158 | + | 0.114880i | ||||
\(521\) | 37.6789 | + | 3.96021i | 1.65074 | + | 0.173500i | 0.883686 | − | 0.468081i | \(-0.155054\pi\) |
0.767056 | + | 0.641580i | \(0.221721\pi\) | |||||||
\(522\) | −4.21454 | + | 3.41287i | −0.184466 | + | 0.149377i | ||||
\(523\) | −0.359926 | + | 6.86781i | −0.0157385 | + | 0.300308i | 0.979407 | + | 0.201895i | \(0.0647100\pi\) |
−0.995146 | + | 0.0984131i | \(0.968623\pi\) | |||||||
\(524\) | −87.2146 | −3.80999 | ||||||||
\(525\) | 18.8747 | − | 26.2643i | 0.823758 | − | 1.14627i | ||||
\(526\) | 61.5660 | 2.68441 | ||||||||
\(527\) | −0.956979 | + | 18.2602i | −0.0416867 | + | 0.795429i | ||||
\(528\) | −89.7813 | + | 72.7034i | −3.90723 | + | 3.16401i | ||||
\(529\) | 6.76877 | + | 0.711426i | 0.294294 | + | 0.0309316i | ||||
\(530\) | −17.6716 | + | 12.3495i | −0.767607 | + | 0.536427i | ||||
\(531\) | 9.82205 | + | 13.5189i | 0.426241 | + | 0.586670i | ||||
\(532\) | −0.0764947 | − | 0.244046i | −0.00331647 | − | 0.0105807i | ||||
\(533\) | −0.245457 | + | 1.54975i | −0.0106319 | + | 0.0671272i | ||||
\(534\) | 10.7953 | − | 50.7877i | 0.467157 | − | 2.19780i | ||||
\(535\) | −13.7193 | + | 3.40714i | −0.593138 | + | 0.147304i | ||||
\(536\) | −104.051 | + | 22.1167i | −4.49431 | + | 0.955295i | ||||
\(537\) | −1.03323 | + | 0.670988i | −0.0445872 | + | 0.0289553i | ||||
\(538\) | 6.83419 | − | 13.4128i | 0.294643 | − | 0.578269i | ||||
\(539\) | −25.9821 | + | 27.6745i | −1.11913 | + | 1.19202i | ||||
\(540\) | −0.197243 | − | 0.543484i | −0.00848799 | − | 0.0233878i | ||||
\(541\) | −30.6338 | − | 6.51141i | −1.31705 | − | 0.279947i | −0.504789 | − | 0.863243i | \(-0.668430\pi\) |
−0.812260 | + | 0.583296i | \(0.801763\pi\) | |||||||
\(542\) | −40.7586 | + | 15.6458i | −1.75073 | + | 0.672043i | ||||
\(543\) | 29.0468 | + | 7.78305i | 1.24652 | + | 0.334003i | ||||
\(544\) | −4.05312 | − | 38.5628i | −0.173776 | − | 1.65337i | ||||
\(545\) | 27.5198 | + | 25.7103i | 1.17882 | + | 1.10131i | ||||
\(546\) | −4.16731 | + | 2.06897i | −0.178344 | + | 0.0885436i | ||||
\(547\) | 5.53710 | + | 34.9599i | 0.236749 | + | 1.49478i | 0.764082 | + | 0.645119i | \(0.223192\pi\) |
−0.527333 | + | 0.849659i | \(0.676808\pi\) | |||||||
\(548\) | 51.7634 | + | 2.71280i | 2.21122 | + | 0.115885i | ||||
\(549\) | −2.86594 | − | 4.96396i | −0.122315 | − | 0.211857i | ||||
\(550\) | −8.42636 | − | 69.6924i | −0.359301 | − | 2.97169i | ||||
\(551\) | −0.0125217 | − | 0.00722943i | −0.000533444 | − | 0.000307984i | ||||
\(552\) | 42.4107 | + | 83.2357i | 1.80512 | + | 3.54275i | ||||
\(553\) | −4.44108 | − | 5.03684i | −0.188854 | − | 0.214188i | ||||
\(554\) | 31.7521 | − | 43.7030i | 1.34902 | − | 1.85676i | ||||
\(555\) | −0.122751 | − | 0.0423935i | −0.00521049 | − | 0.00179951i | ||||
\(556\) | −10.7329 | + | 24.1065i | −0.455177 | + | 1.02234i | ||||
\(557\) | 0.533128 | − | 1.98966i | 0.0225893 | − | 0.0843046i | −0.953711 | − | 0.300725i | \(-0.902771\pi\) |
0.976300 | + | 0.216420i | \(0.0694381\pi\) | |||||||
\(558\) | 19.5892 | − | 24.1906i | 0.829276 | − | 1.02407i | ||||
\(559\) | −0.529037 | − | 1.62821i | −0.0223759 | − | 0.0688659i | ||||
\(560\) | 51.4017 | − | 3.91030i | 2.17212 | − | 0.165240i | ||||
\(561\) | 18.5533 | − | 57.1012i | 0.783321 | − | 2.41081i | ||||
\(562\) | −17.5106 | − | 26.9640i | −0.738640 | − | 1.13741i | ||||
\(563\) | −32.8856 | + | 1.72346i | −1.38596 | + | 0.0726352i | −0.730665 | − | 0.682736i | \(-0.760790\pi\) |
−0.655297 | + | 0.755371i | \(0.727457\pi\) | |||||||
\(564\) | 8.23561 | + | 38.7455i | 0.346782 | + | 1.63148i | ||||
\(565\) | 4.19446 | + | 2.23521i | 0.176462 | + | 0.0940359i | ||||
\(566\) | −12.2143 | + | 3.96868i | −0.513407 | + | 0.166816i | ||||
\(567\) | 23.8301 | + | 2.75586i | 1.00077 | + | 0.115735i | ||||
\(568\) | 6.70933 | − | 6.70933i | 0.281517 | − | 0.281517i | ||||
\(569\) | −9.03713 | + | 0.949841i | −0.378856 | + | 0.0398194i | −0.292043 | − | 0.956405i | \(-0.594335\pi\) |
−0.0868133 | + | 0.996225i | \(0.527668\pi\) | |||||||
\(570\) | −0.219733 | + | 0.190655i | −0.00920360 | + | 0.00798564i | ||||
\(571\) | −3.95668 | + | 37.6453i | −0.165582 | + | 1.57541i | 0.524330 | + | 0.851515i | \(0.324316\pi\) |
−0.689912 | + | 0.723893i | \(0.742351\pi\) | |||||||
\(572\) | −2.53920 | + | 6.61485i | −0.106169 | + | 0.276581i | ||||
\(573\) | 29.1372 | − | 14.8461i | 1.21722 | − | 0.620206i | ||||
\(574\) | 20.7322 | + | 32.6646i | 0.865346 | + | 1.36339i | ||||
\(575\) | −27.1891 | − | 2.42941i | −1.13387 | − | 0.101313i | ||||
\(576\) | −7.05920 | + | 12.2269i | −0.294133 | + | 0.509454i | ||||
\(577\) | −9.69437 | + | 14.9280i | −0.403582 | + | 0.621462i | −0.980774 | − | 0.195147i | \(-0.937482\pi\) |
0.577192 | + | 0.816608i | \(0.304148\pi\) | |||||||
\(578\) | 5.71429 | + | 7.05656i | 0.237683 | + | 0.293514i | ||||
\(579\) | 5.58109 | − | 2.48486i | 0.231942 | − | 0.103267i | ||||
\(580\) | 5.05061 | − | 5.40609i | 0.209715 | − | 0.224476i | ||||
\(581\) | 17.8853 | − | 2.64211i | 0.742007 | − | 0.109613i | ||||
\(582\) | −62.8313 | − | 62.8313i | −2.60444 | − | 2.60444i | ||||
\(583\) | −15.6940 | − | 12.7088i | −0.649981 | − | 0.526344i | ||||
\(584\) | 38.4399 | − | 42.6918i | 1.59065 | − | 1.76660i | ||||
\(585\) | 1.41581 | + | 1.19024i | 0.0585366 | + | 0.0492103i | ||||
\(586\) | −20.4408 | + | 18.4049i | −0.844400 | + | 0.760301i | ||||
\(587\) | −36.5596 | − | 18.6280i | −1.50898 | − | 0.768861i | −0.512991 | − | 0.858394i | \(-0.671463\pi\) |
−0.995984 | + | 0.0895323i | \(0.971463\pi\) | |||||||
\(588\) | −30.4045 | + | 74.5282i | −1.25386 | + | 3.07349i | ||||
\(589\) | 0.0789291 | + | 0.0256456i | 0.00325222 | + | 0.00105671i | ||||
\(590\) | −22.5481 | − | 23.3925i | −0.928292 | − | 0.963055i | ||||
\(591\) | 46.8572 | + | 42.1904i | 1.92745 | + | 1.73548i | ||||
\(592\) | −0.0741778 | − | 0.193240i | −0.00304869 | − | 0.00794210i | ||||
\(593\) | −2.54876 | + | 0.682938i | −0.104665 | + | 0.0280449i | −0.310771 | − | 0.950485i | \(-0.600587\pi\) |
0.206106 | + | 0.978530i | \(0.433921\pi\) | |||||||
\(594\) | 0.624457 | − | 0.453694i | 0.0256218 | − | 0.0186153i | ||||
\(595\) | −21.2971 | + | 16.2536i | −0.873098 | + | 0.666334i | ||||
\(596\) | −10.0071 | − | 7.27057i | −0.409906 | − | 0.297814i | ||||
\(597\) | −43.4037 | − | 16.6611i | −1.77639 | − | 0.681894i | ||||
\(598\) | 3.29332 | + | 2.13871i | 0.134674 | + | 0.0874583i | ||||
\(599\) | −15.2314 | + | 8.79385i | −0.622338 | + | 0.359307i | −0.777779 | − | 0.628538i | \(-0.783654\pi\) |
0.155441 | + | 0.987845i | \(0.450320\pi\) | |||||||
\(600\) | −40.0260 | − | 75.6149i | −1.63405 | − | 3.08697i | ||||
\(601\) | − | 4.58675i | − | 0.187097i | −0.995615 | − | 0.0935487i | \(-0.970179\pi\) | ||
0.995615 | − | 0.0935487i | \(-0.0298211\pi\) | |||||||
\(602\) | −36.3355 | − | 21.4860i | −1.48092 | − | 0.875702i | ||||
\(603\) | −44.6990 | + | 7.07963i | −1.82029 | + | 0.288305i | ||||
\(604\) | −9.66500 | − | 21.7079i | −0.393263 | − | 0.883284i | ||||
\(605\) | 37.9024 | − | 16.0473i | 1.54095 | − | 0.652415i | ||||
\(606\) | −12.4223 | − | 5.53078i | −0.504623 | − | 0.224673i | ||||
\(607\) | −0.136476 | − | 0.509336i | −0.00553939 | − | 0.0206733i | 0.963101 | − | 0.269141i | \(-0.0867397\pi\) |
−0.968640 | + | 0.248468i | \(0.920073\pi\) | |||||||
\(608\) | −0.173821 | − | 0.0275306i | −0.00704938 | − | 0.00111651i | ||||
\(609\) | 1.58643 | + | 4.26505i | 0.0642855 | + | 0.172828i | ||||
\(610\) | 6.85326 | + | 8.78851i | 0.277480 | + | 0.355836i | ||||
\(611\) | 0.640361 | + | 0.711193i | 0.0259062 | + | 0.0287718i | ||||
\(612\) | −3.31893 | − | 63.3290i | −0.134160 | − | 2.55992i | ||||
\(613\) | −0.0854926 | − | 1.63130i | −0.00345301 | − | 0.0658874i | 0.996359 | − | 0.0852512i | \(-0.0271693\pi\) |
−0.999813 | + | 0.0193637i | \(0.993836\pi\) | |||||||
\(614\) | −7.33364 | − | 8.14483i | −0.295962 | − | 0.328699i | ||||
\(615\) | 17.2900 | − | 25.5824i | 0.697199 | − | 1.03158i | ||||
\(616\) | 35.0067 | + | 94.1137i | 1.41046 | + | 3.79195i | ||||
\(617\) | −3.65372 | − | 0.578692i | −0.147093 | − | 0.0232973i | 0.0824536 | − | 0.996595i | \(-0.473724\pi\) |
−0.229547 | + | 0.973298i | \(0.573724\pi\) | |||||||
\(618\) | −16.6873 | − | 62.2778i | −0.671261 | − | 2.50518i | ||||
\(619\) | 12.2539 | + | 5.45579i | 0.492526 | + | 0.219287i | 0.637943 | − | 0.770084i | \(-0.279786\pi\) |
−0.145417 | + | 0.989371i | \(0.546452\pi\) | |||||||
\(620\) | −21.9045 | + | 36.3790i | −0.879707 | + | 1.46102i | ||||
\(621\) | −0.122080 | − | 0.274195i | −0.00489889 | − | 0.0110031i | ||||
\(622\) | 10.3426 | − | 1.63811i | 0.414700 | − | 0.0656821i | ||||
\(623\) | −18.6806 | − | 11.0462i | −0.748421 | − | 0.442558i | ||||
\(624\) | 5.91843i | 0.236927i | ||||||||
\(625\) | 24.9325 | + | 1.83613i | 0.997299 | + | 0.0734453i | ||||
\(626\) | −32.1690 | + | 18.5728i | −1.28573 | + | 0.742318i | ||||
\(627\) | −0.228538 | − | 0.148414i | −0.00912693 | − | 0.00592710i | ||||
\(628\) | 27.5611 | + | 10.5797i | 1.09981 | + | 0.422177i | ||||
\(629\) | 0.0870278 | + | 0.0632294i | 0.00347003 | + | 0.00252112i | ||||
\(630\) | 45.5940 | − | 1.07472i | 1.81651 | − | 0.0428178i | ||||
\(631\) | −2.90402 | + | 2.10989i | −0.115607 | + | 0.0839935i | −0.644087 | − | 0.764953i | \(-0.722762\pi\) |
0.528479 | + | 0.848946i | \(0.322762\pi\) | |||||||
\(632\) | −17.1580 | + | 4.59746i | −0.682507 | + | 0.182877i | ||||
\(633\) | −4.40553 | − | 11.4768i | −0.175104 | − | 0.456162i | ||||
\(634\) | 44.0004 | + | 39.6181i | 1.74748 | + | 1.57344i | ||||
\(635\) | 21.0133 | − | 10.2248i | 0.833888 | − | 0.405761i | ||||
\(636\) | −40.7253 | − | 13.2325i | −1.61486 | − | 0.524701i | ||||
\(637\) | 0.264143 | + | 1.92666i | 0.0104657 | + | 0.0763369i | ||||
\(638\) | 8.80037 | + | 4.48401i | 0.348410 | + | 0.177524i | ||||
\(639\) | 2.99989 | − | 2.70111i | 0.118674 | − | 0.106854i | ||||
\(640\) | −4.07072 | + | 10.0486i | −0.160909 | + | 0.397207i | ||||
\(641\) | 19.9539 | − | 22.1611i | 0.788133 | − | 0.875310i | −0.206535 | − | 0.978439i | \(-0.566219\pi\) |
0.994668 | + | 0.103129i | \(0.0328854\pi\) | |||||||
\(642\) | −31.0991 | − | 25.1835i | −1.22738 | − | 0.993915i | ||||
\(643\) | 30.4036 | + | 30.4036i | 1.19900 | + | 1.19900i | 0.974466 | + | 0.224535i | \(0.0720863\pi\) |
0.224535 | + | 0.974466i | \(0.427914\pi\) | |||||||
\(644\) | 67.2056 | − | 9.92798i | 2.64827 | − | 0.391217i | ||||
\(645\) | −4.13668 | + | 33.4349i | −0.162881 | + | 1.31650i | ||||
\(646\) | 0.220142 | − | 0.0980137i | 0.00866139 | − | 0.00385630i | ||||
\(647\) | 22.1589 | + | 27.3639i | 0.871155 | + | 1.07579i | 0.996493 | + | 0.0836728i | \(0.0266650\pi\) |
−0.125338 | + | 0.992114i | \(0.540002\pi\) | |||||||
\(648\) | 34.5610 | − | 53.2193i | 1.35768 | − | 2.09065i | ||||
\(649\) | 15.2169 | − | 26.3564i | 0.597315 | − | 1.03458i | ||||
\(650\) | −3.04634 | − | 1.91141i | −0.119487 | − | 0.0749715i | ||||
\(651\) | −13.9966 | − | 22.0523i | −0.548570 | − | 0.864299i | ||||
\(652\) | −81.8300 | + | 41.6945i | −3.20471 | + | 1.63288i | ||||
\(653\) | 2.68227 | − | 6.98754i | 0.104965 | − | 0.273444i | −0.871032 | − | 0.491226i | \(-0.836549\pi\) |
0.975997 | + | 0.217782i | \(0.0698823\pi\) | |||||||
\(654\) | −11.1441 | + | 106.029i | −0.435767 | + | 4.14605i | ||||
\(655\) | 41.3106 | − | 3.57572i | 1.61414 | − | 0.139715i | ||||
\(656\) | 48.9445 | − | 5.14427i | 1.91096 | − | 0.200850i | ||||
\(657\) | 17.2820 | − | 17.2820i | 0.674235 | − | 0.674235i | ||||
\(658\) | 23.4406 | + | 2.71082i | 0.913810 | + | 0.105679i | ||||
\(659\) | 18.3227 | − | 5.95342i | 0.713753 | − | 0.231912i | 0.0704403 | − | 0.997516i | \(-0.477560\pi\) |
0.643313 | + | 0.765604i | \(0.277560\pi\) | |||||||
\(660\) | 100.389 | − | 96.7651i | 3.90763 | − | 3.76658i | ||||
\(661\) | 4.30614 | + | 20.2588i | 0.167489 | + | 0.787975i | 0.979036 | + | 0.203687i | \(0.0652926\pi\) |
−0.811547 | + | 0.584288i | \(0.801374\pi\) | |||||||
\(662\) | 87.2754 | − | 4.57391i | 3.39205 | − | 0.177770i | ||||
\(663\) | −1.67522 | − | 2.57961i | −0.0650601 | − | 0.100184i | ||||
\(664\) | 14.7786 | − | 45.4839i | 0.573521 | − | 1.76512i | ||||
\(665\) | 0.0462386 | + | 0.112460i | 0.00179306 | + | 0.00436101i | ||||
\(666\) | −0.0565881 | − | 0.174160i | −0.00219274 | − | 0.00674857i | ||||
\(667\) | 2.41700 | − | 2.98475i | 0.0935868 | − | 0.115570i | ||||
\(668\) | 21.8072 | − | 81.3855i | 0.843745 | − | 3.14890i | ||||
\(669\) | −27.2402 | + | 61.1826i | −1.05317 | + | 2.36545i | ||||
\(670\) | 84.1723 | − | 25.6490i | 3.25186 | − | 0.990906i | ||||
\(671\) | −6.13605 | + | 8.44555i | −0.236880 | + | 0.326037i | ||||
\(672\) | 36.6308 | + | 41.5447i | 1.41306 | + | 1.60262i | ||||
\(673\) | −14.0858 | − | 27.6449i | −0.542968 | − | 1.06563i | −0.985626 | − | 0.168944i | \(-0.945964\pi\) |
0.442658 | − | 0.896691i | \(-0.354036\pi\) | |||||||
\(674\) | 57.0862 | + | 32.9588i | 2.19888 | + | 1.26952i | ||||
\(675\) | 0.115710 | + | 0.249343i | 0.00445367 | + | 0.00959722i | ||||
\(676\) | −30.3892 | − | 52.6357i | −1.16882 | − | 2.02445i | ||||
\(677\) | −26.9492 | − | 1.41235i | −1.03574 | − | 0.0542809i | −0.473122 | − | 0.880997i | \(-0.656873\pi\) |
−0.562620 | + | 0.826716i | \(0.690206\pi\) | |||||||
\(678\) | 2.10476 | + | 13.2889i | 0.0808329 | + | 0.510359i | ||||
\(679\) | −33.2656 | + | 16.5155i | −1.27662 | + | 0.633808i | ||||
\(680\) | 13.4580 | + | 69.5790i | 0.516092 | + | 2.66823i | ||||
\(681\) | −2.92189 | − | 27.7999i | −0.111967 | − | 1.06529i | ||||
\(682\) | −54.7596 | − | 14.6728i | −2.09685 | − | 0.561851i | ||||
\(683\) | −30.2309 | + | 11.6045i | −1.15675 | + | 0.444036i | −0.859687 | − | 0.510821i | \(-0.829341\pi\) |
−0.297066 | + | 0.954857i | \(0.596008\pi\) | |||||||
\(684\) | −0.281534 | − | 0.0598419i | −0.0107647 | − | 0.00228811i | ||||
\(685\) | −24.6298 | + | 0.837291i | −0.941055 | + | 0.0319912i | ||||
\(686\) | 36.3032 | + | 31.3252i | 1.38606 | + | 1.19600i | ||||
\(687\) | −11.9514 | + | 23.4560i | −0.455975 | + | 0.894901i | ||||
\(688\) | −45.0341 | + | 29.2455i | −1.71691 | + | 1.11497i | ||||
\(689\) | −1.01195 | + | 0.215097i | −0.0385523 | + | 0.00819455i | ||||
\(690\) | −40.8888 | − | 65.5706i | −1.55661 | − | 2.49623i | ||||
\(691\) | 3.76383 | − | 17.7074i | 0.143183 | − | 0.673622i | −0.846739 | − | 0.532008i | \(-0.821438\pi\) |
0.989922 | − | 0.141614i | \(-0.0452291\pi\) | |||||||
\(692\) | 11.3316 | − | 71.5446i | 0.430761 | − | 2.71972i | ||||
\(693\) | 12.7773 | + | 40.7642i | 0.485369 | + | 1.54850i | ||||
\(694\) | −0.336925 | − | 0.463737i | −0.0127895 | − | 0.0176032i | ||||
\(695\) | 4.09547 | − | 11.8585i | 0.155350 | − | 0.449818i | ||||
\(696\) | 11.9714 | + | 1.25824i | 0.453774 | + | 0.0476936i | ||||
\(697\) | −19.8768 | + | 16.0960i | −0.752889 | + | 0.609678i | ||||
\(698\) | −1.24109 | + | 23.6813i | −0.0469758 | + | 0.896351i | ||||
\(699\) | −16.9601 | −0.641489 | ||||||||
\(700\) | −61.4000 | + | 10.0517i | −2.32070 | + | 0.379918i | ||||
\(701\) | −8.89063 | −0.335794 | −0.167897 | − | 0.985805i | \(-0.553698\pi\) | ||||
−0.167897 | + | 0.985805i | \(0.553698\pi\) | |||||||
\(702\) | 0.00206951 | − | 0.0394887i | 7.81088e−5 | − | 0.00149040i | ||||
\(703\) | 0.000379430 | 0 | 0.000307256i | 1.43105e−5 | 0 | 1.15884e-5i | ||||
\(704\) | 25.5725 | + | 2.68777i | 0.963798 | + | 0.101299i | ||||
\(705\) | −5.48946 | − | 18.0148i | −0.206745 | − | 0.678475i | ||||
\(706\) | −30.1185 | − | 41.4546i | −1.13353 | − | 1.56016i | ||||
\(707\) | −3.84683 | + | 4.18388i | −0.144675 | + | 0.157351i | ||||
\(708\) | 10.0952 | − | 63.7385i | 0.379401 | − | 2.39544i | ||||
\(709\) | −1.90273 | + | 8.95164i | −0.0714585 | + | 0.336186i | −0.999325 | − | 0.0367258i | \(-0.988307\pi\) |
0.927867 | + | 0.372912i | \(0.121641\pi\) | |||||||
\(710\) | −5.05067 | + | 6.00787i | −0.189548 | + | 0.225471i | ||||
\(711\) | −7.39203 | + | 1.57122i | −0.277223 | + | 0.0589255i | ||||
\(712\) | −48.1461 | + | 31.2665i | −1.80435 | + | 1.17176i | ||||
\(713\) | −10.0080 | + | 19.6419i | −0.374804 | + | 0.735594i | ||||
\(714\) | −73.0481 | − | 20.3909i | −2.73375 | − | 0.763110i | ||||
\(715\) | 0.931530 | − | 3.23733i | 0.0348373 | − | 0.121069i | ||||
\(716\) | 2.31815 | + | 0.492739i | 0.0866334 | + | 0.0184145i | ||||
\(717\) | −40.1620 | + | 15.4167i | −1.49988 | + | 0.575748i | ||||
\(718\) | 24.0246 | + | 6.43738i | 0.896591 | + | 0.240241i | ||||
\(719\) | −4.94586 | − | 47.0567i | −0.184450 | − | 1.75492i | −0.560346 | − | 0.828258i | \(-0.689332\pi\) |
0.375897 | − | 0.926662i | \(-0.377335\pi\) | |||||||
\(720\) | 24.5665 | − | 52.5562i | 0.915540 | − | 1.95865i | ||||
\(721\) | −26.8956 | − | 1.69059i | −1.00164 | − | 0.0629607i | ||||
\(722\) | 7.69515 | + | 48.5853i | 0.286384 | + | 1.80816i | ||||
\(723\) | −2.60810 | − | 0.136685i | −0.0969961 | − | 0.00508335i | ||||
\(724\) | −28.9238 | − | 50.0975i | −1.07495 | − | 1.86186i | ||||
\(725\) | −2.17066 | + | 2.76775i | −0.0806162 | + | 0.102792i | ||||
\(726\) | 100.906 | + | 58.2581i | 3.74498 | + | 2.16216i | ||||
\(727\) | −17.8237 | − | 34.9809i | −0.661043 | − | 1.29737i | −0.941341 | − | 0.337457i | \(-0.890433\pi\) |
0.280298 | − | 0.959913i | \(-0.409567\pi\) | |||||||
\(728\) | 4.87557 | + | 1.64050i | 0.180701 | + | 0.0608011i | ||||
\(729\) | 15.6314 | − | 21.5148i | 0.578941 | − | 0.796844i | ||||
\(730\) | −28.6336 | + | 37.9251i | −1.05978 | + | 1.40367i | ||||
\(731\) | 11.3506 | − | 25.4939i | 0.419818 | − | 0.942926i | ||||
\(732\) | −5.72918 | + | 21.3816i | −0.211757 | + | 0.790286i | ||||
\(733\) | −6.93199 | + | 8.56030i | −0.256039 | + | 0.316182i | −0.888916 | − | 0.458071i | \(-0.848541\pi\) |
0.632877 | + | 0.774253i | \(0.281874\pi\) | |||||||
\(734\) | −12.9394 | − | 39.8233i | −0.477601 | − | 1.46991i | ||||
\(735\) | 11.3460 | − | 36.5480i | 0.418503 | − | 1.34810i | ||||
\(736\) | 14.4456 | − | 44.4591i | 0.532473 | − | 1.63878i | ||||
\(737\) | 44.8910 | + | 69.1261i | 1.65358 | + | 2.54629i | ||||
\(738\) | 43.4802 | − | 2.27870i | 1.60053 | − | 0.0838801i | ||||
\(739\) | 6.86091 | + | 32.2780i | 0.252383 | + | 1.18737i | 0.903567 | + | 0.428447i | \(0.140939\pi\) |
−0.651184 | + | 0.758920i | \(0.725727\pi\) | |||||||
\(740\) | 0.109306 | + | 0.224637i | 0.00401816 | + | 0.00825781i | ||||
\(741\) | −0.0132769 | + | 0.00431393i | −0.000487740 | + | 0.000158476i | ||||
\(742\) | −15.2080 | + | 20.4800i | −0.558303 | + | 0.751846i | ||||
\(743\) | −2.10074 | + | 2.10074i | −0.0770687 | + | 0.0770687i | −0.744590 | − | 0.667522i | \(-0.767355\pi\) |
0.667522 | + | 0.744590i | \(0.267355\pi\) | |||||||
\(744\) | −68.7133 | + | 7.22206i | −2.51915 | + | 0.264774i | ||||
\(745\) | 5.03810 | + | 3.03354i | 0.184582 | + | 0.111140i | ||||
\(746\) | 3.94202 | − | 37.5058i | 0.144328 | − | 1.37318i | ||||
\(747\) | 7.29151 | − | 18.9950i | 0.266782 | − | 0.694992i | ||||
\(748\) | −102.909 | + | 52.4345i | −3.76271 | + | 1.91720i | ||||
\(749\) | −14.1217 | + | 8.96306i | −0.515997 | + | 0.327503i | ||||
\(750\) | 38.3799 | + | 59.4603i | 1.40144 | + | 2.17118i | ||||
\(751\) | −9.49836 | + | 16.4516i | −0.346600 | + | 0.600329i | −0.985643 | − | 0.168842i | \(-0.945997\pi\) |
0.639043 | + | 0.769171i | \(0.279331\pi\) | |||||||
\(752\) | 16.3482 | − | 25.1740i | 0.596157 | − | 0.918001i | ||||
\(753\) | −31.2403 | − | 38.5785i | −1.13846 | − | 1.40588i | ||||
\(754\) | 0.462247 | − | 0.205806i | 0.0168340 | − | 0.00749500i | ||||
\(755\) | 5.46799 | + | 9.88606i | 0.199000 | + | 0.359790i | ||||
\(756\) | −0.424957 | − | 0.536100i | −0.0154555 | − | 0.0194978i | ||||
\(757\) | −17.4136 | − | 17.4136i | −0.632909 | − | 0.632909i | 0.315887 | − | 0.948797i | \(-0.397698\pi\) |
−0.948797 | + | 0.315887i | \(0.897698\pi\) | |||||||
\(758\) | −41.5634 | − | 33.6574i | −1.50965 | − | 1.22249i | ||||
\(759\) | 48.4339 | − | 53.7913i | 1.75804 | − | 1.95250i | ||||
\(760\) | 0.320844 | + | 0.0227337i | 0.0116383 | + | 0.000824640i | ||||
\(761\) | 24.5170 | − | 22.0752i | 0.888741 | − | 0.800226i | −0.0919551 | − | 0.995763i | \(-0.529312\pi\) |
0.980696 | + | 0.195537i | \(0.0626449\pi\) | |||||||
\(762\) | 58.9435 | + | 30.0332i | 2.13530 | + | 1.08799i | ||||
\(763\) | 40.5177 | + | 18.5477i | 1.46684 | + | 0.671471i | ||||
\(764\) | −59.8280 | − | 19.4393i | −2.16450 | − | 0.703289i | ||||
\(765\) | 4.16850 | + | 29.8607i | 0.150712 | + | 1.07962i | ||||
\(766\) | −65.8997 | − | 59.3364i | −2.38105 | − | 2.14391i | ||||
\(767\) | −0.558739 | − | 1.45556i | −0.0201749 | − | 0.0525574i | ||||
\(768\) | −52.0416 | + | 13.9445i | −1.87789 | + | 0.503179i | ||||
\(769\) | 11.2664 | − | 8.18549i | 0.406275 | − | 0.295176i | −0.365817 | − | 0.930687i | \(-0.619210\pi\) |
0.772092 | + | 0.635511i | \(0.219210\pi\) | |||||||
\(770\) | −35.5630 | − | 75.0634i | −1.28160 | − | 2.70510i | ||||
\(771\) | −45.3468 | − | 32.9464i | −1.63312 | − | 1.18653i | ||||
\(772\) | −10.9717 | − | 4.21162i | −0.394878 | − | 0.151580i | ||||
\(773\) | 5.01900 | + | 3.25938i | 0.180521 | + | 0.117232i | 0.631736 | − | 0.775184i | \(-0.282343\pi\) |
−0.451215 | + | 0.892415i | \(0.649009\pi\) | |||||||
\(774\) | −41.1414 | + | 23.7530i | −1.47880 | + | 0.853784i | ||||
\(775\) | 8.88392 | − | 18.1296i | 0.319120 | − | 0.651233i | ||||
\(776\) | 98.2441i | 3.52676i | ||||||||
\(777\) | −0.153650 | − | 0.00160031i | −0.00551218 | − | 5.74107e-5i | ||||
\(778\) | 7.59951 | − | 1.20364i | 0.272456 | − | 0.0431527i | ||||
\(779\) | 0.0472157 | + | 0.106048i | 0.00169168 | + | 0.00379957i | ||||
\(780\) | −0.615983 | − | 7.11650i | −0.0220557 | − | 0.254812i | ||||
\(781\) | −6.71637 | − | 2.99032i | −0.240330 | − | 0.107002i | ||||
\(782\) | 16.5669 | + | 61.8285i | 0.592431 | + | 2.21098i | ||||
\(783\) | −0.0381989 | − | 0.00605012i | −0.00136512 | − | 0.000216214i | ||||
\(784\) | 56.2264 | − | 23.6430i | 2.00809 | − | 0.844391i | ||||
\(785\) | −13.4885 | − | 3.88127i | −0.481426 | − | 0.138528i | ||||
\(786\) | 78.5433 | + | 87.2311i | 2.80155 | + | 3.11143i | ||||
\(787\) | −0.259467 | − | 4.95092i | −0.00924899 | − | 0.176481i | −0.999348 | − | 0.0361094i | \(-0.988504\pi\) |
0.990099 | − | 0.140372i | \(-0.0448298\pi\) | |||||||
\(788\) | −6.34797 | − | 121.126i | −0.226137 | − | 4.31495i | ||||
\(789\) | −38.9020 | − | 43.2050i | −1.38495 | − | 1.53814i | ||||
\(790\) | 13.8122 | − | 5.01277i | 0.491416 | − | 0.178346i | ||||
\(791\) | 5.54495 | + | 0.937533i | 0.197156 | + | 0.0333348i | ||||
\(792\) | 111.613 | + | 17.6778i | 3.96601 | + | 0.628154i | ||||
\(793\) | 0.138417 | + | 0.516580i | 0.00491534 | + | 0.0183443i | ||||
\(794\) | −42.8854 | − | 19.0938i | −1.52195 | − | 0.677614i | ||||
\(795\) | 19.8327 | + | 4.59806i | 0.703394 | + | 0.163076i | ||||
\(796\) | 36.3764 | + | 81.7028i | 1.28933 | + | 2.89588i | ||||
\(797\) | 38.0787 | − | 6.03107i | 1.34882 | − | 0.213632i | 0.560119 | − | 0.828412i | \(-0.310756\pi\) |
0.788698 | + | 0.614781i | \(0.210756\pi\) | |||||||
\(798\) | −0.175203 | + | 0.296291i | −0.00620212 | + | 0.0104886i | ||||
\(799\) | 15.5997i | 0.551878i | ||||||||
\(800\) | −12.5929 | + | 40.9187i | −0.445226 | + | 1.44670i | ||||
\(801\) | −21.1513 | + | 12.2117i | −0.747346 | + | 0.431480i | ||||
\(802\) | 64.3904 | + | 41.8156i | 2.27371 | + | 1.47656i | ||||
\(803\) | −41.5559 | − | 15.9518i | −1.46648 | − | 0.562928i | ||||
\(804\) | 141.395 | + | 102.730i | 4.98662 | + | 3.62299i | ||||
\(805\) | −31.4260 | + | 7.45792i | −1.10762 | + | 0.262857i | ||||
\(806\) | −2.34962 | + | 1.70710i | −0.0827619 | + | 0.0601301i | ||||
\(807\) | −13.7310 | + | 3.67922i | −0.483356 | + | 0.129515i | ||||
\(808\) | 5.38788 | + | 14.0359i | 0.189545 | + | 0.493781i | ||||
\(809\) | −23.3940 | − | 21.0641i | −0.822490 | − | 0.740574i | 0.146091 | − | 0.989271i | \(-0.453331\pi\) |
−0.968581 | + | 0.248698i | \(0.919997\pi\) | |||||||
\(810\) | −24.6860 | + | 46.3242i | −0.867377 | + | 1.62767i | ||||
\(811\) | −20.5598 | − | 6.68028i | −0.721952 | − | 0.234576i | −0.0750826 | − | 0.997177i | \(-0.523922\pi\) |
−0.646869 | + | 0.762601i | \(0.723922\pi\) | |||||||
\(812\) | 3.64357 | − | 7.95944i | 0.127864 | − | 0.279322i | ||||
\(813\) | 36.7340 | + | 18.7169i | 1.28832 | + | 0.656430i | ||||
\(814\) | −0.247850 | + | 0.223165i | −0.00868713 | + | 0.00782193i | ||||
\(815\) | 37.0506 | − | 23.1042i | 1.29783 | − | 0.809305i | ||||
\(816\) | −64.5535 | + | 71.6940i | −2.25983 | + | 2.50979i | ||||
\(817\) | −0.0984322 | − | 0.0797088i | −0.00344371 | − | 0.00278866i | ||||
\(818\) | −16.4149 | − | 16.4149i | −0.573932 | − | 0.573932i | ||||
\(819\) | 2.03489 | + | 0.805536i | 0.0711048 | + | 0.0281477i | ||||
\(820\) | −58.3169 | + | 11.2797i | −2.03651 | + | 0.393904i | ||||
\(821\) | 5.44192 | − | 2.42290i | 0.189924 | − | 0.0845597i | −0.309571 | − | 0.950876i | \(-0.600185\pi\) |
0.499495 | + | 0.866317i | \(0.333519\pi\) | |||||||
\(822\) | −43.9035 | − | 54.2162i | −1.53131 | − | 1.89101i | ||||
\(823\) | −19.5489 | + | 30.1026i | −0.681431 | + | 1.04931i | 0.313582 | + | 0.949561i | \(0.398471\pi\) |
−0.995013 | + | 0.0997500i | \(0.968196\pi\) | |||||||
\(824\) | −35.6431 | + | 61.7356i | −1.24169 | + | 2.15066i | ||||
\(825\) | −43.5834 | + | 49.9502i | −1.51738 | + | 1.73904i | ||||
\(826\) | −34.0695 | − | 17.8086i | −1.18543 | − | 0.619642i | ||||
\(827\) | 19.0825 | − | 9.72304i | 0.663565 | − | 0.338103i | −0.0895595 | − | 0.995981i | \(-0.528546\pi\) |
0.753124 | + | 0.657878i | \(0.228546\pi\) | |||||||
\(828\) | 27.3985 | − | 71.3756i | 0.952165 | − | 2.48047i | ||||
\(829\) | 2.22744 | − | 21.1927i | 0.0773622 | − | 0.736052i | −0.885240 | − | 0.465134i | \(-0.846006\pi\) |
0.962602 | − | 0.270918i | \(-0.0873272\pi\) | |||||||
\(830\) | −8.93478 | + | 38.5382i | −0.310131 | + | 1.33768i | ||||
\(831\) | −50.7327 | + | 5.33222i | −1.75990 | + | 0.184973i | ||||
\(832\) | 0.931465 | − | 0.931465i | 0.0322928 | − | 0.0322928i | ||||
\(833\) | −17.8147 | + | 26.2199i | −0.617242 | + | 0.908467i | ||||
\(834\) | 33.7769 | − | 10.9748i | 1.16960 | − | 0.380025i | ||||
\(835\) | −6.99258 | + | 39.4436i | −0.241988 | + | 1.36500i | ||||
\(836\) | 0.108988 | + | 0.512747i | 0.00376942 | + | 0.0177337i | ||||
\(837\) | 0.221683 | − | 0.0116179i | 0.00766248 | − | 0.000401574i | ||||
\(838\) | −24.3030 | − | 37.4233i | −0.839533 | − | 1.29277i | ||||
\(839\) | −12.8534 | + | 39.5588i | −0.443750 | + | 1.36572i | 0.440099 | + | 0.897949i | \(0.354943\pi\) |
−0.883849 | + | 0.467773i | \(0.845057\pi\) | |||||||
\(840\) | −73.2476 | − | 69.8740i | −2.52728 | − | 2.41088i | ||||
\(841\) | 8.80856 | + | 27.1100i | 0.303744 | + | 0.934827i | ||||
\(842\) | 19.5652 | − | 24.1610i | 0.674260 | − | 0.832642i | ||||
\(843\) | −7.85793 | + | 29.3262i | −0.270641 | + | 1.01005i | ||||
\(844\) | −9.61865 | + | 21.6038i | −0.331088 | + | 0.743635i | ||||
\(845\) | 16.5523 | + | 23.6858i | 0.569418 | + | 0.814816i | ||||
\(846\) | 15.6091 | − | 21.4841i | 0.536651 | − | 0.738637i | ||||
\(847\) | 36.5291 | − | 32.2084i | 1.25515 | − | 1.10669i | ||||
\(848\) | 14.7316 | + | 28.9124i | 0.505884 | + | 0.992854i | ||||
\(849\) | 10.5030 | + | 6.06392i | 0.360462 | + | 0.208113i | ||||
\(850\) | −16.0543 | − | 56.3812i | −0.550657 | − | 1.93386i | ||||
\(851\) | 0.0648441 | + | 0.112313i | 0.00222283 | + | 0.00385005i | ||||
\(852\) | −15.5681 | − | 0.815888i | −0.533353 | − | 0.0279519i | ||||
\(853\) | 5.74952 | + | 36.3011i | 0.196860 | + | 1.24292i | 0.866097 | + | 0.499876i | \(0.166621\pi\) |
−0.669237 | + | 0.743049i | \(0.733379\pi\) | |||||||
\(854\) | 10.9838 | + | 7.29674i | 0.375859 | + | 0.249689i | ||||
\(855\) | 0.135807 | + | 0.0168024i | 0.00464449 | + | 0.000574631i | ||||
\(856\) | 4.62482 | + | 44.0022i | 0.158073 | + | 1.50397i | ||||
\(857\) | −5.22871 | − | 1.40103i | −0.178609 | − | 0.0478582i | 0.168406 | − | 0.985718i | \(-0.446138\pi\) |
−0.347015 | + | 0.937860i | \(0.612805\pi\) | |||||||
\(858\) | 8.90284 | − | 3.41748i | 0.303938 | − | 0.116671i | ||||
\(859\) | 20.0684 | + | 4.26566i | 0.684723 | + | 0.145542i | 0.537122 | − | 0.843504i | \(-0.319511\pi\) |
0.147601 | + | 0.989047i | \(0.452845\pi\) | |||||||
\(860\) | 51.1066 | − | 39.8528i | 1.74272 | − | 1.35897i | ||||
\(861\) | 9.82281 | − | 35.1891i | 0.334761 | − | 1.19924i | ||||
\(862\) | 26.7617 | − | 52.5228i | 0.911508 | − | 1.78894i | ||||
\(863\) | −1.71778 | + | 1.11554i | −0.0584738 | + | 0.0379733i | −0.573545 | − | 0.819174i | \(-0.694432\pi\) |
0.515071 | + | 0.857147i | \(0.327766\pi\) | |||||||
\(864\) | −0.460452 | + | 0.0978721i | −0.0156649 | + | 0.00332968i | ||||
\(865\) | −2.43410 | + | 34.3528i | −0.0827620 | + | 1.16803i | ||||
\(866\) | −2.27469 | + | 10.7016i | −0.0772970 | + | 0.363654i | ||||
\(867\) | 1.34135 | − | 8.46896i | 0.0455547 | − | 0.287621i | ||||
\(868\) | −10.9578 | + | 49.0354i | −0.371931 | + | 1.66437i | ||||
\(869\) | 8.09004 | + | 11.1350i | 0.274436 | + | 0.377728i | ||||
\(870\) | −9.95557 | − | 0.182983i | −0.337525 | − | 0.00620370i | ||||
\(871\) | 4.19941 | + | 0.441376i | 0.142292 | + | 0.0149555i | ||||
\(872\) | 91.6067 | − | 74.1816i | 3.10219 | − | 2.51211i | ||||
\(873\) | −2.18748 | + | 41.7396i | −0.0740350 | + | 1.41267i | ||||
\(874\) | 0.290518 | 0.00982693 | ||||||||
\(875\) | 28.6710 | − | 7.27848i | 0.969255 | − | 0.246058i | ||||
\(876\) | −94.3860 | −3.18901 | ||||||||
\(877\) | 1.40306 | − | 26.7720i | 0.0473779 | − | 0.904025i | −0.866786 | − | 0.498680i | \(-0.833818\pi\) |
0.914164 | − | 0.405345i | \(-0.132848\pi\) | |||||||
\(878\) | −25.1844 | + | 20.3939i | −0.849932 | + | 0.688261i | ||||
\(879\) | 25.8320 | + | 2.71505i | 0.871291 | + | 0.0915764i | ||||
\(880\) | −105.641 | − | 1.94168i | −3.56117 | − | 0.0654542i | ||||
\(881\) | −1.86581 | − | 2.56806i | −0.0628607 | − | 0.0865203i | 0.776429 | − | 0.630204i | \(-0.217029\pi\) |
−0.839290 | + | 0.543684i | \(0.817029\pi\) | |||||||
\(882\) | 50.7702 | − | 18.2850i | 1.70952 | − | 0.615687i | ||||
\(883\) | −0.379650 | + | 2.39702i | −0.0127763 | + | 0.0806661i | −0.993253 | − | 0.115971i | \(-0.963002\pi\) |
0.980476 | + | 0.196637i | \(0.0630021\pi\) | |||||||
\(884\) | −1.23019 | + | 5.78760i | −0.0413759 | + | 0.194658i | ||||
\(885\) | −2.16852 | + | 30.6047i | −0.0728941 | + | 1.02876i | ||||
\(886\) | −42.0976 | + | 8.94813i | −1.41430 | + | 0.300618i | ||||
\(887\) | 4.42285 | − | 2.87223i | 0.148505 | − | 0.0964401i | −0.468248 | − | 0.883597i | \(-0.655115\pi\) |
0.616753 | + | 0.787157i | \(0.288448\pi\) | |||||||
\(888\) | −0.184532 | + | 0.362164i | −0.00619249 | + | 0.0121534i | ||||
\(889\) | 19.7544 | − | 19.3472i | 0.662542 | − | 0.648883i | ||||
\(890\) | 37.4477 | − | 29.2016i | 1.25525 | − | 0.978840i | ||||
\(891\) | −48.0941 | − | 10.2227i | −1.61121 | − | 0.342474i | ||||
\(892\) | 120.277 | − | 46.1698i | 4.02716 | − | 1.54588i | ||||
\(893\) | 0.0683894 | + | 0.0183249i | 0.00228856 | + | 0.000613219i | ||||
\(894\) | 1.74018 | + | 16.5567i | 0.0582002 | + | 0.553738i | ||||
\(895\) | −1.11823 | − | 0.138351i | −0.0373784 | − | 0.00462457i | ||||
\(896\) | −0.804762 | + | 12.8030i | −0.0268852 | + | 0.427718i | ||||
\(897\) | −0.580089 | − | 3.66254i | −0.0193686 | − | 0.122289i | ||||
\(898\) | 79.1065 | + | 4.14579i | 2.63982 | + | 0.138347i | ||||
\(899\) | 1.42028 | + | 2.45999i | 0.0473689 | + | 0.0820454i | ||||
\(900\) | −24.0695 | + | 65.7519i | −0.802318 | + | 2.19173i | ||||
\(901\) | −14.6046 | − | 8.43195i | −0.486549 | − | 0.280909i | ||||
\(902\) | −36.0003 | − | 70.6546i | −1.19868 | − | 2.35254i | ||||
\(903\) | 7.88132 | + | 39.0755i | 0.262274 | + | 1.30035i | ||||
\(904\) | 8.74389 | − | 12.0349i | 0.290817 | − | 0.400276i | ||||
\(905\) | 15.7542 | + | 22.5436i | 0.523687 | + | 0.749376i | ||||
\(906\) | −13.0080 | + | 29.2165i | −0.432162 | + | 0.970652i | ||||
\(907\) | 3.85565 | − | 14.3895i | 0.128025 | − | 0.477795i | −0.871905 | − | 0.489676i | \(-0.837115\pi\) |
0.999929 | + | 0.0118806i | \(0.00378181\pi\) | |||||||
\(908\) | −33.8402 | + | 41.7891i | −1.12303 | + | 1.38682i | ||||
\(909\) | 1.97655 | + | 6.08321i | 0.0655581 | + | 0.201767i | ||||
\(910\) | −4.13506 | − | 1.00417i | −0.137076 | − | 0.0332881i | ||||
\(911\) | 9.35146 | − | 28.7808i | 0.309828 | − | 0.953551i | −0.668004 | − | 0.744158i | \(-0.732851\pi\) |
0.977831 | − | 0.209394i | \(-0.0671490\pi\) | |||||||
\(912\) | 0.238477 | + | 0.367222i | 0.00789676 | + | 0.0121599i | ||||
\(913\) | −37.0054 | + | 1.93937i | −1.22470 | + | 0.0641838i | ||||
\(914\) | 15.2495 | + | 71.7431i | 0.504408 | + | 2.37305i | ||||
\(915\) | 1.83709 | − | 10.3626i | 0.0607323 | − | 0.342578i | ||||
\(916\) | 48.1627 | − | 15.6490i | 1.59134 | − | 0.517058i | ||||
\(917\) | 45.0259 | − | 19.4875i | 1.48689 | − | 0.643534i | ||||
\(918\) | 0.455780 | − | 0.455780i | 0.0150430 | − | 0.0150430i | ||||
\(919\) | 54.4821 | − | 5.72630i | 1.79720 | − | 0.188893i | 0.853810 | − | 0.520584i | \(-0.174286\pi\) |
0.943388 | + | 0.331691i | \(0.107619\pi\) | |||||||
\(920\) | −19.2964 | + | 83.2309i | −0.636185 | + | 2.74404i | ||||
\(921\) | −1.08184 | + | 10.2930i | −0.0356478 | + | 0.339166i | ||||
\(922\) | 5.14459 | − | 13.4021i | 0.169428 | − | 0.441375i | ||||
\(923\) | −0.335590 | + | 0.170992i | −0.0110461 | + | 0.00562825i | ||||
\(924\) | 76.4256 | − | 146.209i | 2.51422 | − | 4.80992i | ||||
\(925\) | −0.0609843 | − | 0.101921i | −0.00200515 | − | 0.00335115i | ||||
\(926\) | 50.2320 | − | 87.0044i | 1.65073 | − | 2.85914i | ||||
\(927\) | −16.5178 | + | 25.4351i | −0.542515 | + | 0.835399i | ||||
\(928\) | −3.79077 | − | 4.68121i | −0.124438 | − | 0.153668i | ||||
\(929\) | −51.4693 | + | 22.9156i | −1.68865 | + | 0.751837i | −0.689021 | + | 0.724741i | \(0.741959\pi\) |
−0.999633 | + | 0.0270962i | \(0.991374\pi\) | |||||||
\(930\) | 56.1126 | − | 10.8534i | 1.84000 | − | 0.355895i | ||||
\(931\) | 0.0940219 | + | 0.108900i | 0.00308144 | + | 0.00356906i | ||||
\(932\) | 23.0698 | + | 23.0698i | 0.755678 | + | 0.755678i | ||||
\(933\) | −7.68479 | − | 6.22302i | −0.251589 | − | 0.203733i | ||||
\(934\) | −32.6575 | + | 36.2699i | −1.06859 | + | 1.18679i | ||||
\(935\) | 46.5945 | − | 29.0556i | 1.52380 | − | 0.950220i | ||||
\(936\) | 4.30223 | − | 3.87374i | 0.140623 | − | 0.126617i | ||||
\(937\) | −17.3680 | − | 8.84942i | −0.567387 | − | 0.289098i | 0.146670 | − | 0.989185i | \(-0.453144\pi\) |
−0.714057 | + | 0.700087i | \(0.753144\pi\) | |||||||
\(938\) | 84.8637 | − | 60.3168i | 2.77090 | − | 1.96941i | ||||
\(939\) | 33.3606 | + | 10.8395i | 1.08868 | + | 0.353734i | ||||
\(940\) | −17.0375 | + | 31.9715i | −0.555701 | + | 1.04279i | ||||
\(941\) | 26.4414 | + | 23.8079i | 0.861964 | + | 0.776116i | 0.976094 | − | 0.217350i | \(-0.0697413\pi\) |
−0.114130 | + | 0.993466i | \(0.536408\pi\) | |||||||
\(942\) | −14.2391 | − | 37.0941i | −0.463935 | − | 1.20859i | ||||
\(943\) | −29.7844 | + | 7.98070i | −0.969913 | + | 0.259887i | ||||
\(944\) | −39.5625 | + | 28.7439i | −1.28765 | + | 0.935533i | ||||
\(945\) | 0.223267 | + | 0.236509i | 0.00726289 | + | 0.00769365i | ||||
\(946\) | 69.9968 | + | 50.8557i | 2.27579 | + | 1.65346i | ||||
\(947\) | −23.1309 | − | 8.87912i | −0.751653 | − | 0.288533i | −0.0477796 | − | 0.998858i | \(-0.515215\pi\) |
−0.703874 | + | 0.710325i | \(0.748548\pi\) | |||||||
\(948\) | 24.4765 | + | 15.8952i | 0.794960 | + | 0.516253i | ||||
\(949\) | −1.97486 | + | 1.14018i | −0.0641065 | + | 0.0370119i | ||||
\(950\) | −0.266035 | + | 0.00415158i | −0.00863131 | + | 0.000134695i | ||||
\(951\) | − | 55.9117i | − | 1.81306i | ||||||
\(952\) | 41.1678 | + | 73.0514i | 1.33426 | + | 2.36761i | ||||
\(953\) | 8.28414 | − | 1.31208i | 0.268350 | − | 0.0425024i | −0.0208095 | − | 0.999783i | \(-0.506624\pi\) |
0.289159 | + | 0.957281i | \(0.406624\pi\) | |||||||
\(954\) | 11.6765 | + | 26.2259i | 0.378041 | + | 0.849095i | ||||
\(955\) | 29.1355 | + | 6.75483i | 0.942801 | + | 0.218581i | ||||
\(956\) | 75.6006 | + | 33.6595i | 2.44510 | + | 1.08863i | ||||
\(957\) | −2.41399 | − | 9.00915i | −0.0780333 | − | 0.291224i | ||||
\(958\) | 49.6567 | + | 7.86484i | 1.60433 | + | 0.254102i | ||||
\(959\) | −27.3298 | + | 10.1656i | −0.882524 | + | 0.328265i | ||||
\(960\) | −24.3674 | + | 8.84350i | −0.786454 | + | 0.285423i | ||||
\(961\) | 9.83340 | + | 10.9211i | 0.317206 | + | 0.352293i | ||||
\(962\) | 0.000894208 | 0.0170625i | 2.88304e−5 | 0.000550118i | ||||||
\(963\) | 0.985140 | + | 18.7976i | 0.0317457 | + | 0.605744i | ||||
\(964\) | 3.36172 | + | 3.73357i | 0.108274 | + | 0.120250i | ||||
\(965\) | 5.36957 | + | 1.54507i | 0.172853 | + | 0.0497377i | ||||
\(966\) | −70.4535 | − | 58.2775i | −2.26681 | − | 1.87505i | ||||
\(967\) | −32.6157 | − | 5.16582i | −1.04885 | − | 0.166121i | −0.391863 | − | 0.920024i | \(-0.628169\pi\) |
−0.656987 | + | 0.753902i | \(0.728169\pi\) | |||||||
\(968\) | −33.3425 | − | 124.436i | −1.07167 | − | 3.99952i | ||||
\(969\) | −0.207885 | − | 0.0925564i | −0.00667823 | − | 0.00297334i | ||||
\(970\) | −7.00805 | − | 80.9645i | −0.225015 | − | 2.59961i | ||||
\(971\) | −7.08660 | − | 15.9168i | −0.227420 | − | 0.510793i | 0.763409 | − | 0.645915i | \(-0.223524\pi\) |
−0.990829 | + | 0.135122i | \(0.956857\pi\) | |||||||
\(972\) | −102.209 | + | 16.1884i | −3.27836 | + | 0.519242i | ||||
\(973\) | 0.154599 | − | 14.8436i | 0.00495622 | − | 0.475862i | ||||
\(974\) | − | 3.04241i | − | 0.0974850i | ||||||
\(975\) | 0.583541 | + | 3.34559i | 0.0186883 | + | 0.107145i | ||||
\(976\) | 14.5268 | − | 8.38707i | 0.464993 | − | 0.268464i | ||||
\(977\) | 19.3245 | + | 12.5495i | 0.618245 | + | 0.401493i | 0.815416 | − | 0.578876i | \(-0.196509\pi\) |
−0.197170 | + | 0.980369i | \(0.563175\pi\) | |||||||
\(978\) | 115.396 | + | 44.2965i | 3.68997 | + | 1.41645i | ||||
\(979\) | 35.9863 | + | 26.1456i | 1.15013 | + | 0.835617i | ||||
\(980\) | −65.1475 | + | 34.2810i | −2.08106 | + | 1.09507i | ||||
\(981\) | 40.5714 | − | 29.4768i | 1.29534 | − | 0.941123i | ||||
\(982\) | −33.2736 | + | 8.91563i | −1.06180 | + | 0.284509i | ||||
\(983\) | −8.39643 | − | 21.8734i | −0.267804 | − | 0.697654i | −0.999865 | − | 0.0164151i | \(-0.994775\pi\) |
0.732061 | − | 0.681239i | \(-0.238559\pi\) | |||||||
\(984\) | −71.8196 | − | 64.6666i | −2.28952 | − | 2.06150i | ||||
\(985\) | 7.97289 | + | 57.1132i | 0.254038 | + | 1.81978i | ||||
\(986\) | 7.84427 | + | 2.54876i | 0.249812 | + | 0.0811690i | ||||
\(987\) | −12.9092 | − | 18.1628i | −0.410903 | − | 0.578127i | ||||
\(988\) | 0.0239278 | + | 0.0121918i | 0.000761246 | + | 0.000387874i | ||||
\(989\) | 25.0023 | − | 22.5122i | 0.795026 | − | 0.715845i | ||||
\(990\) | −93.2434 | − | 6.60685i | −2.96347 | − | 0.209980i | ||||
\(991\) | 24.9088 | − | 27.6641i | 0.791255 | − | 0.878778i | −0.203706 | − | 0.979032i | \(-0.565299\pi\) |
0.994962 | + | 0.100254i | \(0.0319655\pi\) | |||||||
\(992\) | 26.8692 | + | 21.7583i | 0.853098 | + | 0.690825i | ||||
\(993\) | −58.3569 | − | 58.3569i | −1.85190 | − | 1.85190i | ||||
\(994\) | −3.41822 | + | 8.63487i | −0.108419 | + | 0.273882i | ||||
\(995\) | −20.5800 | − | 37.2084i | −0.652430 | − | 1.17959i | ||||
\(996\) | −71.7823 | + | 31.9595i | −2.27451 | + | 1.01268i | ||||
\(997\) | −16.8670 | − | 20.8290i | −0.534182 | − | 0.659660i | 0.436591 | − | 0.899660i | \(-0.356186\pi\) |
−0.970773 | + | 0.240000i | \(0.922852\pi\) | |||||||
\(998\) | −51.8745 | + | 79.8797i | −1.64206 | + | 2.52855i | ||||
\(999\) | 0.000652974 | − | 0.00113098i | 2.06592e−5 | − | 3.57828e-5i |
(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 | 175.2.x.a.47.2 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.a.243.2 | 288 | |||
5.3 | odd | 4 | 875.2.bb.b.243.17 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.257.17 | 288 | |||
7.3 | odd | 6 | inner | 175.2.x.a.122.2 | yes | 288 | |
25.6 | even | 5 | 875.2.bb.b.607.2 | 288 | |||
25.8 | odd | 20 | inner | 175.2.x.a.33.2 | ✓ | 288 | |
25.17 | odd | 20 | 875.2.bb.c.768.17 | 288 | |||
25.19 | even | 10 | 875.2.bb.a.607.17 | 288 | |||
35.3 | even | 12 | 875.2.bb.b.493.2 | 288 | |||
35.17 | even | 12 | 875.2.bb.a.493.17 | 288 | |||
35.24 | odd | 6 | 875.2.bb.c.507.17 | 288 | |||
175.17 | even | 60 | 875.2.bb.c.143.17 | 288 | |||
175.31 | odd | 30 | 875.2.bb.b.857.17 | 288 | |||
175.94 | odd | 30 | 875.2.bb.a.857.2 | 288 | |||
175.108 | even | 60 | inner | 175.2.x.a.108.2 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.33.2 | ✓ | 288 | 25.8 | odd | 20 | inner | |
175.2.x.a.47.2 | yes | 288 | 1.1 | even | 1 | trivial | |
175.2.x.a.108.2 | yes | 288 | 175.108 | even | 60 | inner | |
175.2.x.a.122.2 | yes | 288 | 7.3 | odd | 6 | inner | |
875.2.bb.a.243.2 | 288 | 5.2 | odd | 4 | |||
875.2.bb.a.493.17 | 288 | 35.17 | even | 12 | |||
875.2.bb.a.607.17 | 288 | 25.19 | even | 10 | |||
875.2.bb.a.857.2 | 288 | 175.94 | odd | 30 | |||
875.2.bb.b.243.17 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.493.2 | 288 | 35.3 | even | 12 | |||
875.2.bb.b.607.2 | 288 | 25.6 | even | 5 | |||
875.2.bb.b.857.17 | 288 | 175.31 | odd | 30 | |||
875.2.bb.c.143.17 | 288 | 175.17 | even | 60 | |||
875.2.bb.c.257.17 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.507.17 | 288 | 35.24 | odd | 6 | |||
875.2.bb.c.768.17 | 288 | 25.17 | odd | 20 |