Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(64,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.q (of order \(11\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 85.7 | ||
Character | \(\chi\) | \(=\) | 483.85 |
Dual form | 483.2.q.f.358.7 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32935 | − | 1.53415i | 0.939992 | − | 1.08481i | −0.0562687 | − | 0.998416i | \(-0.517920\pi\) |
0.996261 | − | 0.0863934i | \(-0.0275342\pi\) | |||||||
\(3\) | 0.841254 | − | 0.540641i | 0.485698 | − | 0.312139i | ||||
\(4\) | −0.301820 | − | 2.09921i | −0.150910 | − | 1.04960i | ||||
\(5\) | −1.44923 | − | 3.17337i | −0.648114 | − | 1.41917i | −0.893195 | − | 0.449670i | \(-0.851542\pi\) |
0.245081 | − | 0.969503i | \(-0.421186\pi\) | |||||||
\(6\) | 0.288895 | − | 2.00931i | 0.117941 | − | 0.820298i | ||||
\(7\) | 0.959493 | − | 0.281733i | 0.362654 | − | 0.106485i | ||||
\(8\) | −0.206281 | − | 0.132568i | −0.0729312 | − | 0.0468700i | ||||
\(9\) | 0.415415 | − | 0.909632i | 0.138472 | − | 0.303211i | ||||
\(10\) | −6.79496 | − | 1.99518i | −2.14875 | − | 0.630931i | ||||
\(11\) | 3.23543 | + | 3.73389i | 0.975520 | + | 1.12581i | 0.992037 | + | 0.125947i | \(0.0401969\pi\) |
−0.0165167 | + | 0.999864i | \(0.505258\pi\) | |||||||
\(12\) | −1.38882 | − | 1.60279i | −0.400919 | − | 0.462685i | ||||
\(13\) | −4.60315 | − | 1.35161i | −1.27668 | − | 0.374868i | −0.428005 | − | 0.903776i | \(-0.640783\pi\) |
−0.848679 | + | 0.528908i | \(0.822602\pi\) | |||||||
\(14\) | 0.843282 | − | 1.84653i | 0.225376 | − | 0.493506i | ||||
\(15\) | −2.93482 | − | 1.88609i | −0.757767 | − | 0.486987i | ||||
\(16\) | 3.59217 | − | 1.05476i | 0.898043 | − | 0.263689i | ||||
\(17\) | −0.250408 | + | 1.74163i | −0.0607329 | + | 0.422407i | 0.936660 | + | 0.350241i | \(0.113900\pi\) |
−0.997393 | + | 0.0721660i | \(0.977009\pi\) | |||||||
\(18\) | −0.843282 | − | 1.84653i | −0.198763 | − | 0.435231i | ||||
\(19\) | −0.378369 | − | 2.63162i | −0.0868039 | − | 0.603734i | −0.986070 | − | 0.166332i | \(-0.946808\pi\) |
0.899266 | − | 0.437402i | \(-0.144101\pi\) | |||||||
\(20\) | −6.22414 | + | 4.00001i | −1.39176 | + | 0.894430i | ||||
\(21\) | 0.654861 | − | 0.755750i | 0.142902 | − | 0.164918i | ||||
\(22\) | 10.0294 | 2.13827 | ||||||||
\(23\) | −4.79382 | + | 0.138724i | −0.999582 | + | 0.0289260i | ||||
\(24\) | −0.245206 | −0.0500525 | ||||||||
\(25\) | −4.69569 | + | 5.41911i | −0.939138 | + | 1.08382i | ||||
\(26\) | −8.19277 | + | 5.26517i | −1.60673 | + | 1.03258i | ||||
\(27\) | −0.142315 | − | 0.989821i | −0.0273885 | − | 0.190491i | ||||
\(28\) | −0.881009 | − | 1.92914i | −0.166495 | − | 0.364573i | ||||
\(29\) | −1.22313 | + | 8.50709i | −0.227130 | + | 1.57973i | 0.482977 | + | 0.875633i | \(0.339556\pi\) |
−0.710107 | + | 0.704094i | \(0.751354\pi\) | |||||||
\(30\) | −6.79496 | + | 1.99518i | −1.24058 | + | 0.364268i | ||||
\(31\) | 5.57894 | + | 3.58537i | 1.00201 | + | 0.643951i | 0.935312 | − | 0.353823i | \(-0.115118\pi\) |
0.0666943 | + | 0.997773i | \(0.478755\pi\) | |||||||
\(32\) | 3.36082 | − | 7.35917i | 0.594115 | − | 1.30093i | ||||
\(33\) | 4.74051 | + | 1.39194i | 0.825218 | + | 0.242306i | ||||
\(34\) | 2.33904 | + | 2.69940i | 0.401142 | + | 0.462943i | ||||
\(35\) | −2.28456 | − | 2.63653i | −0.386162 | − | 0.445655i | ||||
\(36\) | −2.03489 | − | 0.597496i | −0.339148 | − | 0.0995827i | ||||
\(37\) | 3.85900 | − | 8.45004i | 0.634416 | − | 1.38918i | −0.270139 | − | 0.962821i | \(-0.587070\pi\) |
0.904555 | − | 0.426357i | \(-0.140203\pi\) | |||||||
\(38\) | −4.54028 | − | 2.91786i | −0.736531 | − | 0.473340i | ||||
\(39\) | −4.60315 | + | 1.35161i | −0.737094 | + | 0.216430i | ||||
\(40\) | −0.121741 | + | 0.846726i | −0.0192489 | + | 0.133879i | ||||
\(41\) | 0.460323 | + | 1.00797i | 0.0718904 | + | 0.157418i | 0.942166 | − | 0.335148i | \(-0.108786\pi\) |
−0.870275 | + | 0.492566i | \(0.836059\pi\) | |||||||
\(42\) | −0.288895 | − | 2.00931i | −0.0445775 | − | 0.310043i | ||||
\(43\) | 4.14227 | − | 2.66208i | 0.631691 | − | 0.405963i | −0.185245 | − | 0.982692i | \(-0.559308\pi\) |
0.816935 | + | 0.576730i | \(0.195671\pi\) | |||||||
\(44\) | 6.86169 | − | 7.91881i | 1.03444 | − | 1.19381i | ||||
\(45\) | −3.48863 | −0.520054 | ||||||||
\(46\) | −6.15985 | + | 7.53887i | −0.908220 | + | 1.11155i | ||||
\(47\) | 9.12434 | 1.33092 | 0.665461 | − | 0.746433i | \(-0.268235\pi\) | ||||
0.665461 | + | 0.746433i | \(0.268235\pi\) | |||||||
\(48\) | 2.45168 | − | 2.82939i | 0.353870 | − | 0.408388i | ||||
\(49\) | 0.841254 | − | 0.540641i | 0.120179 | − | 0.0772344i | ||||
\(50\) | 2.07153 | + | 14.4078i | 0.292958 | + | 2.03757i | ||||
\(51\) | 0.730938 | + | 1.60053i | 0.102352 | + | 0.224119i | ||||
\(52\) | −1.44798 | + | 10.0709i | −0.200798 | + | 1.39658i | ||||
\(53\) | −4.84213 | + | 1.42178i | −0.665118 | + | 0.195296i | −0.596828 | − | 0.802369i | \(-0.703573\pi\) |
−0.0682902 | + | 0.997666i | \(0.521754\pi\) | |||||||
\(54\) | −1.70772 | − | 1.09749i | −0.232392 | − | 0.149349i | ||||
\(55\) | 7.16012 | − | 15.6785i | 0.965470 | − | 2.11409i | ||||
\(56\) | −0.235274 | − | 0.0690826i | −0.0314398 | − | 0.00923155i | ||||
\(57\) | −1.74106 | − | 2.00930i | −0.230610 | − | 0.266138i | ||||
\(58\) | 11.4252 | + | 13.1854i | 1.50020 | + | 1.73132i | ||||
\(59\) | 12.2929 | + | 3.60952i | 1.60040 | + | 0.469920i | 0.955657 | − | 0.294481i | \(-0.0951466\pi\) |
0.644742 | + | 0.764400i | \(0.276965\pi\) | |||||||
\(60\) | −3.07351 | + | 6.73005i | −0.396789 | + | 0.868846i | ||||
\(61\) | −9.57516 | − | 6.15358i | −1.22597 | − | 0.787885i | −0.242714 | − | 0.970098i | \(-0.578038\pi\) |
−0.983259 | + | 0.182212i | \(0.941674\pi\) | |||||||
\(62\) | 12.9169 | − | 3.79273i | 1.64044 | − | 0.481677i | ||||
\(63\) | 0.142315 | − | 0.989821i | 0.0179300 | − | 0.124706i | ||||
\(64\) | −3.71190 | − | 8.12792i | −0.463987 | − | 1.01599i | ||||
\(65\) | 2.38187 | + | 16.5663i | 0.295434 | + | 2.05479i | ||||
\(66\) | 8.43725 | − | 5.42229i | 1.03855 | − | 0.667438i | ||||
\(67\) | −7.08781 | + | 8.17977i | −0.865914 | + | 0.999318i | 0.134051 | + | 0.990974i | \(0.457201\pi\) |
−0.999965 | + | 0.00834392i | \(0.997344\pi\) | |||||||
\(68\) | 3.73161 | 0.452525 | ||||||||
\(69\) | −3.95782 | + | 2.70844i | −0.476466 | + | 0.326058i | ||||
\(70\) | −7.08182 | −0.846439 | ||||||||
\(71\) | 3.60982 | − | 4.16595i | 0.428407 | − | 0.494408i | −0.499973 | − | 0.866041i | \(-0.666657\pi\) |
0.928380 | + | 0.371633i | \(0.121202\pi\) | |||||||
\(72\) | −0.206281 | + | 0.132568i | −0.0243104 | + | 0.0156233i | ||||
\(73\) | 1.01861 | + | 7.08458i | 0.119219 | + | 0.829187i | 0.958419 | + | 0.285364i | \(0.0921145\pi\) |
−0.839200 | + | 0.543823i | \(0.816976\pi\) | |||||||
\(74\) | −7.83368 | − | 17.1534i | −0.910646 | − | 1.99404i | ||||
\(75\) | −1.02047 | + | 7.09753i | −0.117834 | + | 0.819552i | ||||
\(76\) | −5.41011 | + | 1.58855i | −0.620582 | + | 0.182219i | ||||
\(77\) | 4.15634 | + | 2.67111i | 0.473658 | + | 0.304402i | ||||
\(78\) | −4.04563 | + | 8.85869i | −0.458077 | + | 1.00305i | ||||
\(79\) | 11.0607 | + | 3.24771i | 1.24442 | + | 0.365396i | 0.836676 | − | 0.547699i | \(-0.184496\pi\) |
0.407748 | + | 0.913095i | \(0.366314\pi\) | |||||||
\(80\) | −8.55301 | − | 9.87070i | −0.956255 | − | 1.10358i | ||||
\(81\) | −0.654861 | − | 0.755750i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 2.15830 | + | 0.633735i | 0.238345 | + | 0.0699844i | ||||
\(83\) | −2.92955 | + | 6.41482i | −0.321560 | + | 0.704118i | −0.999520 | − | 0.0309805i | \(-0.990137\pi\) |
0.677960 | + | 0.735099i | \(0.262864\pi\) | |||||||
\(84\) | −1.78412 | − | 1.14659i | −0.194664 | − | 0.125103i | ||||
\(85\) | 5.88972 | − | 1.72938i | 0.638830 | − | 0.187577i | ||||
\(86\) | 1.42250 | − | 9.89371i | 0.153392 | − | 1.06687i | ||||
\(87\) | 3.57031 | + | 7.81790i | 0.382778 | + | 0.838166i | ||||
\(88\) | −0.172411 | − | 1.19915i | −0.0183791 | − | 0.127829i | ||||
\(89\) | −5.16880 | + | 3.32178i | −0.547891 | + | 0.352108i | −0.785118 | − | 0.619346i | \(-0.787398\pi\) |
0.237227 | + | 0.971454i | \(0.423762\pi\) | |||||||
\(90\) | −4.63761 | + | 5.35208i | −0.488847 | + | 0.564159i | ||||
\(91\) | −4.79748 | −0.502913 | ||||||||
\(92\) | 1.73808 | + | 10.0214i | 0.181208 | + | 1.04480i | ||||
\(93\) | 6.63170 | 0.687675 | ||||||||
\(94\) | 12.1294 | − | 13.9981i | 1.25106 | − | 1.44380i | ||||
\(95\) | −7.80274 | + | 5.01452i | −0.800544 | + | 0.514479i | ||||
\(96\) | −1.15137 | − | 8.00793i | −0.117511 | − | 0.817306i | ||||
\(97\) | 0.200579 | + | 0.439207i | 0.0203657 | + | 0.0445947i | 0.919542 | − | 0.392993i | \(-0.128560\pi\) |
−0.899176 | + | 0.437588i | \(0.855833\pi\) | |||||||
\(98\) | 0.288895 | − | 2.00931i | 0.0291828 | − | 0.202971i | ||||
\(99\) | 4.74051 | − | 1.39194i | 0.476440 | − | 0.139895i | ||||
\(100\) | 12.7931 | + | 8.22162i | 1.27931 | + | 0.822162i | ||||
\(101\) | −4.16972 | + | 9.13041i | −0.414902 | + | 0.908509i | 0.580637 | + | 0.814163i | \(0.302804\pi\) |
−0.995539 | + | 0.0943469i | \(0.969924\pi\) | |||||||
\(102\) | 3.42713 | + | 1.00630i | 0.339337 | + | 0.0996382i | ||||
\(103\) | −9.73699 | − | 11.2371i | −0.959414 | − | 1.10722i | −0.994170 | − | 0.107827i | \(-0.965611\pi\) |
0.0347555 | − | 0.999396i | \(-0.488935\pi\) | |||||||
\(104\) | 0.770360 | + | 0.889043i | 0.0755400 | + | 0.0871778i | ||||
\(105\) | −3.34731 | − | 0.982860i | −0.326664 | − | 0.0959173i | ||||
\(106\) | −4.25567 | + | 9.31861i | −0.413347 | + | 0.905103i | ||||
\(107\) | −16.2045 | − | 10.4140i | −1.56654 | − | 1.00676i | −0.980510 | − | 0.196470i | \(-0.937052\pi\) |
−0.586034 | − | 0.810287i | \(-0.699311\pi\) | |||||||
\(108\) | −2.03489 | + | 0.597496i | −0.195807 | + | 0.0574941i | ||||
\(109\) | 0.643245 | − | 4.47387i | 0.0616117 | − | 0.428519i | −0.935548 | − | 0.353200i | \(-0.885094\pi\) |
0.997160 | − | 0.0753186i | \(-0.0239974\pi\) | |||||||
\(110\) | −14.5349 | − | 31.8269i | −1.38584 | − | 3.03458i | ||||
\(111\) | −1.32204 | − | 9.19496i | −0.125482 | − | 0.872747i | ||||
\(112\) | 3.14950 | − | 2.02406i | 0.297600 | − | 0.191256i | ||||
\(113\) | −2.26036 | + | 2.60859i | −0.212636 | + | 0.245395i | −0.852041 | − | 0.523475i | \(-0.824635\pi\) |
0.639405 | + | 0.768870i | \(0.279181\pi\) | |||||||
\(114\) | −5.39705 | −0.505480 | ||||||||
\(115\) | 7.38757 | + | 15.0115i | 0.688894 | + | 1.39983i | ||||
\(116\) | 18.2273 | 1.69236 | ||||||||
\(117\) | −3.14168 | + | 3.62569i | −0.290449 | + | 0.335196i | ||||
\(118\) | 21.8791 | − | 14.0609i | 2.01414 | − | 1.29441i | ||||
\(119\) | 0.250408 | + | 1.74163i | 0.0229549 | + | 0.159655i | ||||
\(120\) | 0.355360 | + | 0.778129i | 0.0324397 | + | 0.0710331i | ||||
\(121\) | −1.90844 | + | 13.2735i | −0.173494 | + | 1.20668i | ||||
\(122\) | −22.1693 | + | 6.50948i | −2.00711 | + | 0.589341i | ||||
\(123\) | 0.932196 | + | 0.599086i | 0.0840533 | + | 0.0540178i | ||||
\(124\) | 5.84259 | − | 12.7935i | 0.524680 | − | 1.14889i | ||||
\(125\) | 7.26539 | + | 2.13331i | 0.649836 | + | 0.190809i | ||||
\(126\) | −1.32935 | − | 1.53415i | −0.118428 | − | 0.136673i | ||||
\(127\) | 7.86179 | + | 9.07299i | 0.697621 | + | 0.805097i | 0.988429 | − | 0.151684i | \(-0.0484696\pi\) |
−0.290808 | + | 0.956781i | \(0.593924\pi\) | |||||||
\(128\) | −1.87876 | − | 0.551653i | −0.166060 | − | 0.0487597i | ||||
\(129\) | 2.04547 | − | 4.47896i | 0.180094 | − | 0.394351i | ||||
\(130\) | 28.5815 | + | 18.3682i | 2.50676 | + | 1.61100i | ||||
\(131\) | −8.46710 | + | 2.48616i | −0.739774 | + | 0.217217i | −0.629843 | − | 0.776722i | \(-0.716881\pi\) |
−0.109930 | + | 0.993939i | \(0.535063\pi\) | |||||||
\(132\) | 1.49119 | − | 10.3714i | 0.129791 | − | 0.902717i | ||||
\(133\) | −1.10445 | − | 2.41842i | −0.0957684 | − | 0.209704i | ||||
\(134\) | 3.12683 | + | 21.7476i | 0.270117 | + | 1.87870i | ||||
\(135\) | −2.93482 | + | 1.88609i | −0.252589 | + | 0.162329i | ||||
\(136\) | 0.282539 | − | 0.326068i | 0.0242275 | − | 0.0279601i | ||||
\(137\) | 6.32353 | 0.540256 | 0.270128 | − | 0.962824i | \(-0.412934\pi\) | ||||
0.270128 | + | 0.962824i | \(0.412934\pi\) | |||||||
\(138\) | −1.10617 | + | 9.67236i | −0.0941638 | + | 0.823366i | ||||
\(139\) | −8.55984 | −0.726036 | −0.363018 | − | 0.931782i | \(-0.618254\pi\) | ||||
−0.363018 | + | 0.931782i | \(0.618254\pi\) | |||||||
\(140\) | −4.84509 | + | 5.59153i | −0.409485 | + | 0.472570i | ||||
\(141\) | 7.67588 | − | 4.93299i | 0.646426 | − | 0.415433i | ||||
\(142\) | −1.59249 | − | 11.0760i | −0.133639 | − | 0.929479i | ||||
\(143\) | −9.84644 | − | 21.5607i | −0.823400 | − | 1.80300i | ||||
\(144\) | 0.532802 | − | 3.70572i | 0.0444001 | − | 0.308810i | ||||
\(145\) | 28.7687 | − | 8.44726i | 2.38911 | − | 0.701506i | ||||
\(146\) | 12.2229 | + | 7.85518i | 1.01157 | + | 0.650100i | ||||
\(147\) | 0.415415 | − | 0.909632i | 0.0342629 | − | 0.0750252i | ||||
\(148\) | −18.9031 | − | 5.55045i | −1.55383 | − | 0.456244i | ||||
\(149\) | 2.78080 | + | 3.20922i | 0.227812 | + | 0.262909i | 0.858135 | − | 0.513424i | \(-0.171623\pi\) |
−0.630323 | + | 0.776333i | \(0.717078\pi\) | |||||||
\(150\) | 9.53212 | + | 11.0007i | 0.778295 | + | 0.898200i | ||||
\(151\) | −10.7583 | − | 3.15893i | −0.875500 | − | 0.257070i | −0.187047 | − | 0.982351i | \(-0.559892\pi\) |
−0.688453 | + | 0.725281i | \(0.741710\pi\) | |||||||
\(152\) | −0.270819 | + | 0.593011i | −0.0219663 | + | 0.0480996i | ||||
\(153\) | 1.48022 | + | 0.951278i | 0.119668 | + | 0.0769062i | ||||
\(154\) | 9.62312 | − | 2.82560i | 0.775453 | − | 0.227694i | ||||
\(155\) | 3.29253 | − | 22.9000i | 0.264462 | − | 1.83937i | ||||
\(156\) | 4.22662 | + | 9.25502i | 0.338401 | + | 0.740994i | ||||
\(157\) | −1.31900 | − | 9.17385i | −0.105268 | − | 0.732153i | −0.972272 | − | 0.233852i | \(-0.924867\pi\) |
0.867004 | − | 0.498300i | \(-0.166042\pi\) | |||||||
\(158\) | 19.6860 | − | 12.6514i | 1.56613 | − | 1.00649i | ||||
\(159\) | −3.30479 | + | 3.81393i | −0.262087 | + | 0.302464i | ||||
\(160\) | −28.2239 | −2.23130 | ||||||||
\(161\) | −4.56056 | + | 1.48368i | −0.359422 | + | 0.116930i | ||||
\(162\) | −2.02997 | −0.159490 | ||||||||
\(163\) | −8.12449 | + | 9.37616i | −0.636359 | + | 0.734397i | −0.978727 | − | 0.205169i | \(-0.934226\pi\) |
0.342368 | + | 0.939566i | \(0.388771\pi\) | |||||||
\(164\) | 1.97700 | − | 1.27054i | 0.154377 | − | 0.0992123i | ||||
\(165\) | −2.45295 | − | 17.0606i | −0.190962 | − | 1.32817i | ||||
\(166\) | 5.94691 | + | 13.0219i | 0.461570 | + | 1.01070i | ||||
\(167\) | −0.995847 | + | 6.92627i | −0.0770610 | + | 0.535971i | 0.914323 | + | 0.404985i | \(0.132723\pi\) |
−0.991384 | + | 0.130986i | \(0.958186\pi\) | |||||||
\(168\) | −0.235274 | + | 0.0690826i | −0.0181518 | + | 0.00532984i | ||||
\(169\) | 8.42584 | + | 5.41496i | 0.648142 | + | 0.416536i | ||||
\(170\) | 5.17637 | − | 11.3347i | 0.397010 | − | 0.869330i | ||||
\(171\) | −2.55098 | − | 0.749036i | −0.195079 | − | 0.0572802i | ||||
\(172\) | −6.83847 | − | 7.89201i | −0.521428 | − | 0.601760i | ||||
\(173\) | 0.00111714 | + | 0.00128925i | 8.49347e−5 | + | 9.80199e-5i | 0.755792 | − | 0.654812i | \(-0.227252\pi\) |
−0.755707 | + | 0.654910i | \(0.772707\pi\) | |||||||
\(174\) | 16.7400 | + | 4.91532i | 1.26906 | + | 0.372629i | ||||
\(175\) | −2.97874 | + | 6.52253i | −0.225172 | + | 0.493057i | ||||
\(176\) | 15.5606 | + | 10.0002i | 1.17292 | + | 0.753792i | ||||
\(177\) | 12.2929 | − | 3.60952i | 0.923991 | − | 0.271308i | ||||
\(178\) | −1.77502 | + | 12.3455i | −0.133043 | + | 0.925337i | ||||
\(179\) | 4.17273 | + | 9.13701i | 0.311885 | + | 0.682932i | 0.999050 | − | 0.0435686i | \(-0.0138727\pi\) |
−0.687166 | + | 0.726501i | \(0.741145\pi\) | |||||||
\(180\) | 1.05294 | + | 7.32335i | 0.0784814 | + | 0.545850i | ||||
\(181\) | 2.16327 | − | 1.39025i | 0.160795 | − | 0.103336i | −0.457769 | − | 0.889071i | \(-0.651351\pi\) |
0.618564 | + | 0.785735i | \(0.287715\pi\) | |||||||
\(182\) | −6.37753 | + | 7.36006i | −0.472734 | + | 0.545564i | ||||
\(183\) | −11.3820 | −0.841383 | ||||||||
\(184\) | 1.00726 | + | 0.606894i | 0.0742564 | + | 0.0447408i | ||||
\(185\) | −32.4077 | −2.38266 | ||||||||
\(186\) | 8.81585 | − | 10.1740i | 0.646409 | − | 0.745996i | ||||
\(187\) | −7.31323 | + | 4.69993i | −0.534796 | + | 0.343693i | ||||
\(188\) | −2.75391 | − | 19.1539i | −0.200850 | − | 1.39694i | ||||
\(189\) | −0.415415 | − | 0.909632i | −0.0302170 | − | 0.0661660i | ||||
\(190\) | −2.67954 | + | 18.6366i | −0.194395 | + | 1.35204i | ||||
\(191\) | 9.99443 | − | 2.93463i | 0.723172 | − | 0.212342i | 0.100624 | − | 0.994924i | \(-0.467916\pi\) |
0.622547 | + | 0.782582i | \(0.286098\pi\) | |||||||
\(192\) | −7.51694 | − | 4.83084i | −0.542488 | − | 0.348636i | ||||
\(193\) | 8.72218 | − | 19.0989i | 0.627836 | − | 1.37477i | −0.281844 | − | 0.959460i | \(-0.590946\pi\) |
0.909680 | − | 0.415309i | \(-0.136327\pi\) | |||||||
\(194\) | 0.940451 | + | 0.276141i | 0.0675204 | + | 0.0198258i | ||||
\(195\) | 10.9602 | + | 12.6487i | 0.784873 | + | 0.905792i | ||||
\(196\) | −1.38882 | − | 1.60279i | −0.0992017 | − | 0.114485i | ||||
\(197\) | −14.6172 | − | 4.29201i | −1.04143 | − | 0.305793i | −0.284083 | − | 0.958800i | \(-0.591689\pi\) |
−0.757352 | + | 0.653007i | \(0.773507\pi\) | |||||||
\(198\) | 4.16635 | − | 9.12304i | 0.296090 | − | 0.648347i | ||||
\(199\) | −9.37468 | − | 6.02474i | −0.664554 | − | 0.427083i | 0.164405 | − | 0.986393i | \(-0.447430\pi\) |
−0.828958 | + | 0.559310i | \(0.811066\pi\) | |||||||
\(200\) | 1.68703 | − | 0.495357i | 0.119291 | − | 0.0350271i | ||||
\(201\) | −1.54033 | + | 10.7132i | −0.108646 | + | 0.755653i | ||||
\(202\) | 8.46442 | + | 18.5345i | 0.595554 | + | 1.30408i | ||||
\(203\) | 1.22313 | + | 8.50709i | 0.0858472 | + | 0.597081i | ||||
\(204\) | 3.13923 | − | 2.01746i | 0.219790 | − | 0.141251i | ||||
\(205\) | 2.53154 | − | 2.92155i | 0.176810 | − | 0.204050i | ||||
\(206\) | −30.1833 | −2.10297 | ||||||||
\(207\) | −1.86524 | + | 4.41824i | −0.129643 | + | 0.307089i | ||||
\(208\) | −17.9609 | −1.24537 | ||||||||
\(209\) | 8.60198 | − | 9.92721i | 0.595011 | − | 0.686680i | ||||
\(210\) | −5.95761 | + | 3.82872i | −0.411114 | + | 0.264207i | ||||
\(211\) | 1.49916 | + | 10.4269i | 0.103206 | + | 0.717816i | 0.974063 | + | 0.226278i | \(0.0726558\pi\) |
−0.870856 | + | 0.491537i | \(0.836435\pi\) | |||||||
\(212\) | 4.44606 | + | 9.73551i | 0.305357 | + | 0.668638i | ||||
\(213\) | 0.784489 | − | 5.45624i | 0.0537523 | − | 0.373855i | ||||
\(214\) | −37.5180 | + | 11.0163i | −2.56468 | + | 0.753057i | ||||
\(215\) | −14.4508 | − | 9.28699i | −0.985539 | − | 0.633368i | ||||
\(216\) | −0.101862 | + | 0.223047i | −0.00693085 | + | 0.0151765i | ||||
\(217\) | 6.36307 | + | 1.86836i | 0.431953 | + | 0.126833i | ||||
\(218\) | −6.00849 | − | 6.93417i | −0.406946 | − | 0.469641i | ||||
\(219\) | 4.68712 | + | 5.40922i | 0.316726 | + | 0.365521i | ||||
\(220\) | −35.0734 | − | 10.2985i | −2.36465 | − | 0.694324i | ||||
\(221\) | 3.50666 | − | 7.67852i | 0.235884 | − | 0.516513i | ||||
\(222\) | −15.8639 | − | 10.1951i | −1.06472 | − | 0.684252i | ||||
\(223\) | −22.0604 | + | 6.47752i | −1.47727 | + | 0.433767i | −0.918456 | − | 0.395523i | \(-0.870563\pi\) |
−0.558818 | + | 0.829290i | \(0.688745\pi\) | |||||||
\(224\) | 1.15137 | − | 8.00793i | 0.0769289 | − | 0.535052i | ||||
\(225\) | 2.97874 | + | 6.52253i | 0.198583 | + | 0.434835i | ||||
\(226\) | 0.997168 | + | 6.93546i | 0.0663306 | + | 0.461340i | ||||
\(227\) | 14.9347 | − | 9.59798i | 0.991254 | − | 0.637040i | 0.0587774 | − | 0.998271i | \(-0.481280\pi\) |
0.932476 | + | 0.361231i | \(0.117643\pi\) | |||||||
\(228\) | −3.69244 | + | 4.26130i | −0.244538 | + | 0.282211i | ||||
\(229\) | 3.06261 | 0.202383 | 0.101191 | − | 0.994867i | \(-0.467735\pi\) | ||||
0.101191 | + | 0.994867i | \(0.467735\pi\) | |||||||
\(230\) | 32.8506 | + | 8.62192i | 2.16610 | + | 0.568512i | ||||
\(231\) | 4.94065 | 0.325071 | ||||||||
\(232\) | 1.38008 | − | 1.59270i | 0.0906067 | − | 0.104566i | ||||
\(233\) | −14.9863 | + | 9.63114i | −0.981788 | + | 0.630957i | −0.929945 | − | 0.367698i | \(-0.880146\pi\) |
−0.0518432 | + | 0.998655i | \(0.516510\pi\) | |||||||
\(234\) | 1.38597 | + | 9.63963i | 0.0906037 | + | 0.630162i | ||||
\(235\) | −13.2232 | − | 28.9549i | −0.862590 | − | 1.88881i | ||||
\(236\) | 3.86688 | − | 26.8948i | 0.251713 | − | 1.75070i | ||||
\(237\) | 11.0607 | − | 3.24771i | 0.718468 | − | 0.210961i | ||||
\(238\) | 3.00480 | + | 1.93107i | 0.194772 | + | 0.125173i | ||||
\(239\) | −0.825075 | + | 1.80666i | −0.0533697 | + | 0.116863i | −0.934438 | − | 0.356125i | \(-0.884098\pi\) |
0.881069 | + | 0.472989i | \(0.156825\pi\) | |||||||
\(240\) | −12.5317 | − | 3.67965i | −0.808921 | − | 0.237521i | ||||
\(241\) | 2.47272 | + | 2.85367i | 0.159282 | + | 0.183821i | 0.829781 | − | 0.558089i | \(-0.188465\pi\) |
−0.670499 | + | 0.741910i | \(0.733920\pi\) | |||||||
\(242\) | 17.8266 | + | 20.5729i | 1.14593 | + | 1.32248i | ||||
\(243\) | −0.959493 | − | 0.281733i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | −10.0277 | + | 21.9575i | −0.641955 | + | 1.40569i | ||||
\(245\) | −2.93482 | − | 1.88609i | −0.187499 | − | 0.120498i | ||||
\(246\) | 2.15830 | − | 0.633735i | 0.137608 | − | 0.0404055i | ||||
\(247\) | −1.81522 | + | 12.6251i | −0.115500 | + | 0.803318i | ||||
\(248\) | −0.675520 | − | 1.47918i | −0.0428956 | − | 0.0939282i | ||||
\(249\) | 1.00362 | + | 6.98033i | 0.0636018 | + | 0.442360i | ||||
\(250\) | 12.9311 | − | 8.31029i | 0.817832 | − | 0.525589i | ||||
\(251\) | −8.81371 | + | 10.1716i | −0.556316 | + | 0.642023i | −0.962343 | − | 0.271838i | \(-0.912369\pi\) |
0.406027 | + | 0.913861i | \(0.366914\pi\) | |||||||
\(252\) | −2.12079 | −0.133597 | ||||||||
\(253\) | −16.0281 | − | 17.4508i | −1.00768 | − | 1.09712i | ||||
\(254\) | 24.3704 | 1.52914 | ||||||||
\(255\) | 4.01978 | − | 4.63907i | 0.251728 | − | 0.290510i | ||||
\(256\) | 11.6900 | − | 7.51272i | 0.730627 | − | 0.469545i | ||||
\(257\) | 0.841694 | + | 5.85411i | 0.0525034 | + | 0.365169i | 0.999087 | + | 0.0427119i | \(0.0135998\pi\) |
−0.946584 | + | 0.322457i | \(0.895491\pi\) | |||||||
\(258\) | −4.15226 | − | 9.09218i | −0.258508 | − | 0.566054i | ||||
\(259\) | 1.32204 | − | 9.19496i | 0.0821473 | − | 0.571347i | ||||
\(260\) | 34.0571 | − | 10.0001i | 2.11213 | − | 0.620178i | ||||
\(261\) | 7.23021 | + | 4.64658i | 0.447539 | + | 0.287616i | ||||
\(262\) | −7.44158 | + | 16.2948i | −0.459743 | + | 1.00670i | ||||
\(263\) | −30.5865 | − | 8.98099i | −1.88604 | − | 0.553792i | −0.995001 | − | 0.0998698i | \(-0.968157\pi\) |
−0.891041 | − | 0.453922i | \(-0.850024\pi\) | |||||||
\(264\) | −0.793349 | − | 0.915573i | −0.0488272 | − | 0.0563496i | ||||
\(265\) | 11.5292 | + | 13.3054i | 0.708232 | + | 0.817343i | ||||
\(266\) | −5.17843 | − | 1.52052i | −0.317510 | − | 0.0932293i | ||||
\(267\) | −2.55238 | + | 5.58892i | −0.156203 | + | 0.342037i | ||||
\(268\) | 19.3103 | + | 12.4100i | 1.17956 | + | 0.758059i | ||||
\(269\) | 13.2590 | − | 3.89321i | 0.808418 | − | 0.237373i | 0.148696 | − | 0.988883i | \(-0.452492\pi\) |
0.659722 | + | 0.751510i | \(0.270674\pi\) | |||||||
\(270\) | −1.00785 | + | 7.00974i | −0.0613357 | + | 0.426599i | ||||
\(271\) | 2.26754 | + | 4.96522i | 0.137743 | + | 0.301616i | 0.965915 | − | 0.258858i | \(-0.0833463\pi\) |
−0.828172 | + | 0.560474i | \(0.810619\pi\) | |||||||
\(272\) | 0.937484 | + | 6.52035i | 0.0568433 | + | 0.395354i | ||||
\(273\) | −4.03590 | + | 2.59371i | −0.244264 | + | 0.156979i | ||||
\(274\) | 8.40619 | − | 9.70126i | 0.507836 | − | 0.586074i | ||||
\(275\) | −35.4270 | −2.13633 | ||||||||
\(276\) | 6.88012 | + | 7.49082i | 0.414135 | + | 0.450895i | ||||
\(277\) | −8.87695 | −0.533365 | −0.266682 | − | 0.963785i | \(-0.585927\pi\) | ||||
−0.266682 | + | 0.963785i | \(0.585927\pi\) | |||||||
\(278\) | −11.3790 | + | 13.1321i | −0.682468 | + | 0.787610i | ||||
\(279\) | 5.57894 | − | 3.58537i | 0.334002 | − | 0.214650i | ||||
\(280\) | 0.121741 | + | 0.846726i | 0.00727540 | + | 0.0506015i | ||||
\(281\) | 5.97793 | + | 13.0898i | 0.356613 | + | 0.780874i | 0.999884 | + | 0.0152353i | \(0.00484974\pi\) |
−0.643271 | + | 0.765639i | \(0.722423\pi\) | |||||||
\(282\) | 2.63598 | − | 18.3336i | 0.156970 | − | 1.09175i | ||||
\(283\) | 13.4684 | − | 3.95468i | 0.800614 | − | 0.235081i | 0.144265 | − | 0.989539i | \(-0.453918\pi\) |
0.656349 | + | 0.754458i | \(0.272100\pi\) | |||||||
\(284\) | −9.83471 | − | 6.32038i | −0.583583 | − | 0.375046i | ||||
\(285\) | −3.85303 | + | 8.43696i | −0.228234 | + | 0.499762i | ||||
\(286\) | −46.1667 | − | 13.5558i | −2.72990 | − | 0.801570i | ||||
\(287\) | 0.725654 | + | 0.837449i | 0.0428340 | + | 0.0494331i | ||||
\(288\) | −5.29800 | − | 6.11422i | −0.312188 | − | 0.360284i | ||||
\(289\) | 13.3408 | + | 3.91722i | 0.784754 | + | 0.230425i | ||||
\(290\) | 25.2843 | − | 55.3649i | 1.48475 | − | 3.25114i | ||||
\(291\) | 0.406191 | + | 0.261043i | 0.0238114 | + | 0.0153026i | ||||
\(292\) | 14.5646 | − | 4.27654i | 0.852326 | − | 0.250265i | ||||
\(293\) | −2.62526 | + | 18.2591i | −0.153369 | + | 1.06671i | 0.757150 | + | 0.653241i | \(0.226591\pi\) |
−0.910520 | + | 0.413466i | \(0.864318\pi\) | |||||||
\(294\) | −0.843282 | − | 1.84653i | −0.0491812 | − | 0.107692i | ||||
\(295\) | −6.36088 | − | 44.2409i | −0.370345 | − | 2.57580i | ||||
\(296\) | −1.91625 | + | 1.23150i | −0.111380 | + | 0.0715793i | ||||
\(297\) | 3.23543 | − | 3.73389i | 0.187739 | − | 0.216662i | ||||
\(298\) | 8.62009 | 0.499348 | ||||||||
\(299\) | 22.2542 | + | 5.84080i | 1.28699 | + | 0.337782i | ||||
\(300\) | 15.2072 | 0.877987 | ||||||||
\(301\) | 3.22449 | − | 3.72126i | 0.185856 | − | 0.214490i | ||||
\(302\) | −19.1479 | + | 12.3056i | −1.10184 | + | 0.708107i | ||||
\(303\) | 1.42848 | + | 9.93531i | 0.0820641 | + | 0.570768i | ||||
\(304\) | −4.13488 | − | 9.05413i | −0.237152 | − | 0.519290i | ||||
\(305\) | −5.65098 | + | 39.3034i | −0.323574 | + | 2.25051i | ||||
\(306\) | 3.42713 | − | 1.00630i | 0.195916 | − | 0.0575261i | ||||
\(307\) | −3.38719 | − | 2.17682i | −0.193317 | − | 0.124237i | 0.440402 | − | 0.897801i | \(-0.354836\pi\) |
−0.633719 | + | 0.773563i | \(0.718472\pi\) | |||||||
\(308\) | 4.35275 | − | 9.53120i | 0.248021 | − | 0.543091i | ||||
\(309\) | −14.2665 | − | 4.18902i | −0.811593 | − | 0.238305i | ||||
\(310\) | −30.7552 | − | 35.4934i | −1.74678 | − | 2.01589i | ||||
\(311\) | −6.32244 | − | 7.29649i | −0.358513 | − | 0.413746i | 0.547628 | − | 0.836722i | \(-0.315531\pi\) |
−0.906141 | + | 0.422976i | \(0.860985\pi\) | |||||||
\(312\) | 1.12872 | + | 0.331422i | 0.0639012 | + | 0.0187631i | ||||
\(313\) | −10.3695 | + | 22.7061i | −0.586122 | + | 1.28343i | 0.351636 | + | 0.936137i | \(0.385625\pi\) |
−0.937758 | + | 0.347291i | \(0.887102\pi\) | |||||||
\(314\) | −15.8275 | − | 10.1717i | −0.893197 | − | 0.574023i | ||||
\(315\) | −3.34731 | + | 0.982860i | −0.188600 | + | 0.0553779i | ||||
\(316\) | 3.47927 | − | 24.1989i | 0.195724 | − | 1.36129i | ||||
\(317\) | −12.3009 | − | 26.9351i | −0.690886 | − | 1.51283i | −0.850683 | − | 0.525679i | \(-0.823811\pi\) |
0.159797 | − | 0.987150i | \(-0.448916\pi\) | |||||||
\(318\) | 1.45793 | + | 10.1401i | 0.0817564 | + | 0.568629i | ||||
\(319\) | −35.7219 | + | 22.9571i | −2.00004 | + | 1.28535i | ||||
\(320\) | −20.4135 | + | 23.5584i | −1.14115 | + | 1.31696i | ||||
\(321\) | −19.2623 | −1.07512 | ||||||||
\(322\) | −3.78639 | + | 8.96892i | −0.211007 | + | 0.499818i | ||||
\(323\) | 4.67804 | 0.260293 | ||||||||
\(324\) | −1.38882 | + | 1.60279i | −0.0771569 | + | 0.0890438i | ||||
\(325\) | 28.9395 | − | 18.5983i | 1.60527 | − | 1.03165i | ||||
\(326\) | 3.58416 | + | 24.9284i | 0.198508 | + | 1.38066i | ||||
\(327\) | −1.87762 | − | 4.11142i | −0.103833 | − | 0.227362i | ||||
\(328\) | 0.0386689 | − | 0.268948i | 0.00213513 | − | 0.0148502i | ||||
\(329\) | 8.75474 | − | 2.57062i | 0.482665 | − | 0.141723i | ||||
\(330\) | −29.4344 | − | 18.9164i | −1.62031 | − | 1.04131i | ||||
\(331\) | 7.20918 | − | 15.7859i | 0.396253 | − | 0.867672i | −0.601384 | − | 0.798960i | \(-0.705384\pi\) |
0.997637 | − | 0.0687119i | \(-0.0218889\pi\) | |||||||
\(332\) | 14.3502 | + | 4.21361i | 0.787571 | + | 0.231252i | ||||
\(333\) | −6.08334 | − | 7.02055i | −0.333365 | − | 0.384724i | ||||
\(334\) | 9.30212 | + | 10.7352i | 0.508989 | + | 0.587405i | ||||
\(335\) | 36.2293 | + | 10.6379i | 1.97942 | + | 0.581209i | ||||
\(336\) | 1.55524 | − | 3.40550i | 0.0848453 | − | 0.185785i | ||||
\(337\) | 2.26541 | + | 1.45589i | 0.123405 | + | 0.0793073i | 0.600887 | − | 0.799334i | \(-0.294814\pi\) |
−0.477482 | + | 0.878641i | \(0.658451\pi\) | |||||||
\(338\) | 19.5083 | − | 5.72814i | 1.06111 | − | 0.311570i | ||||
\(339\) | −0.491222 | + | 3.41653i | −0.0266795 | + | 0.185560i | ||||
\(340\) | −5.40796 | − | 11.8418i | −0.293288 | − | 0.642211i | ||||
\(341\) | 4.66293 | + | 32.4314i | 0.252512 | + | 1.75626i | ||||
\(342\) | −4.54028 | + | 2.91786i | −0.245510 | + | 0.157780i | ||||
\(343\) | 0.654861 | − | 0.755750i | 0.0353592 | − | 0.0408066i | ||||
\(344\) | −1.20738 | −0.0650974 | ||||||||
\(345\) | 14.3307 | + | 8.63447i | 0.771537 | + | 0.464864i | ||||
\(346\) | 0.00346298 | 0.000186171 | ||||||||
\(347\) | 0.680391 | − | 0.785213i | 0.0365253 | − | 0.0421525i | −0.737193 | − | 0.675682i | \(-0.763849\pi\) |
0.773718 | + | 0.633530i | \(0.218395\pi\) | |||||||
\(348\) | 15.3338 | − | 9.85442i | 0.821977 | − | 0.528253i | ||||
\(349\) | −4.08305 | − | 28.3982i | −0.218561 | − | 1.52012i | −0.743357 | − | 0.668895i | \(-0.766768\pi\) |
0.524796 | − | 0.851228i | \(-0.324142\pi\) | |||||||
\(350\) | 6.04676 | + | 13.2406i | 0.323213 | + | 0.707738i | ||||
\(351\) | −0.682753 | + | 4.74865i | −0.0364426 | + | 0.253464i | ||||
\(352\) | 38.3521 | − | 11.2612i | 2.04417 | − | 0.600223i | ||||
\(353\) | −0.0282555 | − | 0.0181587i | −0.00150389 | − | 0.000966489i | 0.539889 | − | 0.841736i | \(-0.318466\pi\) |
−0.541393 | + | 0.840770i | \(0.682103\pi\) | |||||||
\(354\) | 10.8040 | − | 23.6575i | 0.574227 | − | 1.25738i | ||||
\(355\) | −18.4515 | − | 5.41786i | −0.979306 | − | 0.287550i | ||||
\(356\) | 8.53316 | + | 9.84779i | 0.452256 | + | 0.521932i | ||||
\(357\) | 1.15225 | + | 1.32977i | 0.0609836 | + | 0.0703789i | ||||
\(358\) | 19.5646 | + | 5.74468i | 1.03402 | + | 0.303616i | ||||
\(359\) | −3.52642 | + | 7.72179i | −0.186117 | + | 0.407540i | −0.979573 | − | 0.201088i | \(-0.935552\pi\) |
0.793456 | + | 0.608628i | \(0.208280\pi\) | |||||||
\(360\) | 0.719636 | + | 0.462482i | 0.0379281 | + | 0.0243749i | ||||
\(361\) | 11.4481 | − | 3.36147i | 0.602533 | − | 0.176920i | ||||
\(362\) | 0.742890 | − | 5.16692i | 0.0390455 | − | 0.271567i | ||||
\(363\) | 5.57071 | + | 12.1981i | 0.292386 | + | 0.640237i | ||||
\(364\) | 1.44798 | + | 10.0709i | 0.0758946 | + | 0.527859i | ||||
\(365\) | 21.0058 | − | 13.4996i | 1.09949 | − | 0.706600i | ||||
\(366\) | −15.1307 | + | 17.4617i | −0.790893 | + | 0.912740i | ||||
\(367\) | 5.29439 | 0.276365 | 0.138182 | − | 0.990407i | \(-0.455874\pi\) | ||||
0.138182 | + | 0.990407i | \(0.455874\pi\) | |||||||
\(368\) | −17.0739 | + | 5.55464i | −0.890040 | + | 0.289556i | ||||
\(369\) | 1.10810 | 0.0576856 | ||||||||
\(370\) | −43.0811 | + | 49.7183i | −2.23968 | + | 2.58473i | ||||
\(371\) | −4.24543 | + | 2.72837i | −0.220412 | + | 0.141650i | ||||
\(372\) | −2.00158 | − | 13.9213i | −0.103777 | − | 0.721786i | ||||
\(373\) | −1.60933 | − | 3.52395i | −0.0833281 | − | 0.182463i | 0.863381 | − | 0.504552i | \(-0.168342\pi\) |
−0.946709 | + | 0.322089i | \(0.895615\pi\) | |||||||
\(374\) | −2.51144 | + | 17.4674i | −0.129863 | + | 0.903220i | ||||
\(375\) | 7.26539 | − | 2.13331i | 0.375183 | − | 0.110164i | ||||
\(376\) | −1.88217 | − | 1.20960i | −0.0970657 | − | 0.0623804i | ||||
\(377\) | 17.1285 | − | 37.5062i | 0.882163 | − | 1.93167i | ||||
\(378\) | −1.94775 | − | 0.571910i | −0.100181 | − | 0.0294159i | ||||
\(379\) | −10.8091 | − | 12.4743i | −0.555224 | − | 0.640763i | 0.406868 | − | 0.913487i | \(-0.366621\pi\) |
−0.962092 | + | 0.272724i | \(0.912075\pi\) | |||||||
\(380\) | 12.8815 | + | 14.8661i | 0.660809 | + | 0.762614i | ||||
\(381\) | 11.5190 | + | 3.38228i | 0.590135 | + | 0.173279i | ||||
\(382\) | 8.78393 | − | 19.2341i | 0.449425 | − | 0.984104i | ||||
\(383\) | 0.762607 | + | 0.490098i | 0.0389674 | + | 0.0250428i | 0.559979 | − | 0.828506i | \(-0.310809\pi\) |
−0.521012 | + | 0.853549i | \(0.674445\pi\) | |||||||
\(384\) | −1.87876 | + | 0.551653i | −0.0958749 | + | 0.0281514i | ||||
\(385\) | 2.45295 | − | 17.0606i | 0.125014 | − | 0.869490i | ||||
\(386\) | −17.7058 | − | 38.7703i | −0.901201 | − | 1.97335i | ||||
\(387\) | −0.700748 | − | 4.87381i | −0.0356210 | − | 0.247750i | ||||
\(388\) | 0.861448 | − | 0.553619i | 0.0437334 | − | 0.0281057i | ||||
\(389\) | 18.4818 | − | 21.3291i | 0.937065 | − | 1.08143i | −0.0594682 | − | 0.998230i | \(-0.518940\pi\) |
0.996533 | − | 0.0832001i | \(-0.0265141\pi\) | |||||||
\(390\) | 33.9749 | 1.72039 | ||||||||
\(391\) | 0.958808 | − | 8.38380i | 0.0484890 | − | 0.423987i | ||||
\(392\) | −0.245206 | −0.0123848 | ||||||||
\(393\) | −5.77885 | + | 6.66915i | −0.291505 | + | 0.336414i | ||||
\(394\) | −26.0160 | + | 16.7195i | −1.31067 | + | 0.842315i | ||||
\(395\) | −5.72327 | − | 39.8062i | −0.287969 | − | 2.00287i | ||||
\(396\) | −4.35275 | − | 9.53120i | −0.218734 | − | 0.478961i | ||||
\(397\) | −2.23512 | + | 15.5456i | −0.112178 | + | 0.780213i | 0.853616 | + | 0.520902i | \(0.174404\pi\) |
−0.965794 | + | 0.259310i | \(0.916505\pi\) | |||||||
\(398\) | −21.7051 | + | 6.37319i | −1.08798 | + | 0.319459i | ||||
\(399\) | −2.23662 | − | 1.43739i | −0.111971 | − | 0.0719595i | ||||
\(400\) | −11.1519 | + | 24.4192i | −0.557594 | + | 1.22096i | ||||
\(401\) | 8.27272 | + | 2.42909i | 0.413120 | + | 0.121303i | 0.481686 | − | 0.876344i | \(-0.340024\pi\) |
−0.0685667 | + | 0.997647i | \(0.521843\pi\) | |||||||
\(402\) | 14.3881 | + | 16.6047i | 0.717612 | + | 0.828168i | ||||
\(403\) | −20.8347 | − | 24.0445i | −1.03785 | − | 1.19774i | ||||
\(404\) | 20.4251 | + | 5.99735i | 1.01619 | + | 0.298380i | ||||
\(405\) | −1.44923 | + | 3.17337i | −0.0720127 | + | 0.157686i | ||||
\(406\) | 14.6771 | + | 9.43242i | 0.728414 | + | 0.468123i | ||||
\(407\) | 44.0371 | − | 12.9305i | 2.18284 | − | 0.640939i | ||||
\(408\) | 0.0614017 | − | 0.427058i | 0.00303984 | − | 0.0211425i | ||||
\(409\) | −10.6646 | − | 23.3523i | −0.527332 | − | 1.15470i | −0.966588 | − | 0.256335i | \(-0.917485\pi\) |
0.439256 | − | 0.898362i | \(-0.355242\pi\) | |||||||
\(410\) | −1.11680 | − | 7.76752i | −0.0551548 | − | 0.383610i | ||||
\(411\) | 5.31969 | − | 3.41876i | 0.262401 | − | 0.168635i | ||||
\(412\) | −20.6501 | + | 23.8315i | −1.01736 | + | 1.17410i | ||||
\(413\) | 12.8119 | 0.630431 | ||||||||
\(414\) | 4.29870 | + | 8.73495i | 0.211270 | + | 0.429300i | ||||
\(415\) | 24.6022 | 1.20767 | ||||||||
\(416\) | −25.4171 | + | 29.3329i | −1.24617 | + | 1.43816i | ||||
\(417\) | −7.20099 | + | 4.62780i | −0.352634 | + | 0.226624i | ||||
\(418\) | −3.79481 | − | 26.3935i | −0.185610 | − | 1.29095i | ||||
\(419\) | 11.7138 | + | 25.6497i | 0.572258 | + | 1.25307i | 0.945587 | + | 0.325371i | \(0.105489\pi\) |
−0.373329 | + | 0.927699i | \(0.621784\pi\) | |||||||
\(420\) | −1.05294 | + | 7.32335i | −0.0513781 | + | 0.357343i | ||||
\(421\) | 7.37981 | − | 2.16691i | 0.359670 | − | 0.105609i | −0.0969049 | − | 0.995294i | \(-0.530894\pi\) |
0.456575 | + | 0.889685i | \(0.349076\pi\) | |||||||
\(422\) | 17.9893 | + | 11.5610i | 0.875706 | + | 0.562782i | ||||
\(423\) | 3.79039 | − | 8.29979i | 0.184295 | − | 0.403550i | ||||
\(424\) | 1.18732 | + | 0.348629i | 0.0576614 | + | 0.0169309i | ||||
\(425\) | −8.26224 | − | 9.53513i | −0.400777 | − | 0.462522i | ||||
\(426\) | −7.32784 | − | 8.45677i | −0.355035 | − | 0.409732i | ||||
\(427\) | −10.9210 | − | 3.20668i | −0.528502 | − | 0.155182i | ||||
\(428\) | −16.9702 | + | 37.1596i | −0.820287 | + | 1.79618i | ||||
\(429\) | −19.9399 | − | 12.8146i | −0.962709 | − | 0.618696i | ||||
\(430\) | −33.4579 | + | 9.82412i | −1.61348 | + | 0.473761i | ||||
\(431\) | −1.89010 | + | 13.1459i | −0.0910430 | + | 0.633218i | 0.892298 | + | 0.451447i | \(0.149092\pi\) |
−0.983341 | + | 0.181771i | \(0.941817\pi\) | |||||||
\(432\) | −1.55524 | − | 3.40550i | −0.0748265 | − | 0.163847i | ||||
\(433\) | 0.243844 | + | 1.69597i | 0.0117184 | + | 0.0815033i | 0.994841 | − | 0.101443i | \(-0.0323458\pi\) |
−0.983123 | + | 0.182946i | \(0.941437\pi\) | |||||||
\(434\) | 11.3251 | − | 7.27820i | 0.543622 | − | 0.349365i | ||||
\(435\) | 19.6348 | − | 22.6598i | 0.941419 | − | 1.08646i | ||||
\(436\) | −9.58571 | −0.459072 | ||||||||
\(437\) | 2.17891 | + | 12.5630i | 0.104231 | + | 0.600971i | ||||
\(438\) | 14.5294 | 0.694241 | ||||||||
\(439\) | −6.33133 | + | 7.30674i | −0.302178 | + | 0.348732i | −0.886449 | − | 0.462827i | \(-0.846835\pi\) |
0.584271 | + | 0.811559i | \(0.301381\pi\) | |||||||
\(440\) | −3.55547 | + | 2.28496i | −0.169500 | + | 0.108931i | ||||
\(441\) | −0.142315 | − | 0.989821i | −0.00677690 | − | 0.0471344i | ||||
\(442\) | −7.11843 | − | 15.5872i | −0.338589 | − | 0.741407i | ||||
\(443\) | −3.67115 | + | 25.5334i | −0.174422 | + | 1.21313i | 0.694982 | + | 0.719027i | \(0.255412\pi\) |
−0.869404 | + | 0.494102i | \(0.835497\pi\) | |||||||
\(444\) | −18.9031 | + | 5.55045i | −0.897102 | + | 0.263413i | ||||
\(445\) | 18.0320 | + | 11.5885i | 0.854799 | + | 0.549346i | ||||
\(446\) | −19.3885 | + | 42.4549i | −0.918073 | + | 2.01030i | ||||
\(447\) | 4.07439 | + | 1.19635i | 0.192712 | + | 0.0565854i | ||||
\(448\) | −5.85144 | − | 6.75292i | −0.276455 | − | 0.319046i | ||||
\(449\) | 8.72784 | + | 10.0725i | 0.411892 | + | 0.475349i | 0.923350 | − | 0.383959i | \(-0.125440\pi\) |
−0.511458 | + | 0.859309i | \(0.670894\pi\) | |||||||
\(450\) | 13.9663 | + | 4.10089i | 0.658379 | + | 0.193318i | ||||
\(451\) | −2.27429 | + | 4.98001i | −0.107092 | + | 0.234499i | ||||
\(452\) | 6.15819 | + | 3.95763i | 0.289657 | + | 0.186151i | ||||
\(453\) | −10.7583 | + | 3.15893i | −0.505470 | + | 0.148420i | ||||
\(454\) | 5.12875 | − | 35.6712i | 0.240704 | − | 1.67413i | ||||
\(455\) | 6.95264 | + | 15.2242i | 0.325945 | + | 0.713720i | ||||
\(456\) | 0.0927785 | + | 0.645289i | 0.00434475 | + | 0.0302184i | ||||
\(457\) | 16.7643 | − | 10.7738i | 0.784202 | − | 0.503976i | −0.0862235 | − | 0.996276i | \(-0.527480\pi\) |
0.870426 | + | 0.492300i | \(0.163844\pi\) | |||||||
\(458\) | 4.07127 | − | 4.69850i | 0.190238 | − | 0.219547i | ||||
\(459\) | 1.75954 | 0.0821282 | ||||||||
\(460\) | 29.2826 | − | 20.0388i | 1.36531 | − | 0.934314i | ||||
\(461\) | −0.481231 | −0.0224132 | −0.0112066 | − | 0.999937i | \(-0.503567\pi\) | ||||
−0.0112066 | + | 0.999937i | \(0.503567\pi\) | |||||||
\(462\) | 6.56785 | − | 7.57970i | 0.305564 | − | 0.352640i | ||||
\(463\) | 32.3481 | − | 20.7889i | 1.50334 | − | 0.966141i | 0.508907 | − | 0.860822i | \(-0.330050\pi\) |
0.994438 | − | 0.105319i | \(-0.0335865\pi\) | |||||||
\(464\) | 4.57920 | + | 31.8490i | 0.212584 | + | 1.47855i | ||||
\(465\) | −9.61084 | − | 21.0448i | −0.445692 | − | 0.975929i | ||||
\(466\) | −5.14647 | + | 35.7945i | −0.238406 | + | 1.65815i | ||||
\(467\) | 3.61329 | − | 1.06096i | 0.167203 | − | 0.0490952i | −0.197060 | − | 0.980392i | \(-0.563139\pi\) |
0.364263 | + | 0.931296i | \(0.381321\pi\) | |||||||
\(468\) | 8.55930 | + | 5.50073i | 0.395654 | + | 0.254271i | ||||
\(469\) | −4.49620 | + | 9.84530i | −0.207615 | + | 0.454614i | ||||
\(470\) | −61.9995 | − | 18.2047i | −2.85982 | − | 0.839720i | ||||
\(471\) | −6.06937 | − | 7.00443i | −0.279662 | − | 0.322747i | ||||
\(472\) | −2.05728 | − | 2.37423i | −0.0946939 | − | 0.109283i | ||||
\(473\) | 23.3420 | + | 6.85382i | 1.07326 | + | 0.315139i | ||||
\(474\) | 9.72104 | − | 21.2861i | 0.446502 | − | 0.977703i | ||||
\(475\) | 16.0377 | + | 10.3068i | 0.735862 | + | 0.472910i | ||||
\(476\) | 3.58046 | − | 1.05132i | 0.164110 | − | 0.0481870i | ||||
\(477\) | −0.718200 | + | 4.99519i | −0.0328841 | + | 0.228714i | ||||
\(478\) | 1.67488 | + | 3.66748i | 0.0766072 | + | 0.167746i | ||||
\(479\) | 1.93113 | + | 13.4313i | 0.0882355 | + | 0.613691i | 0.985177 | + | 0.171542i | \(0.0548748\pi\) |
−0.896941 | + | 0.442149i | \(0.854216\pi\) | |||||||
\(480\) | −23.7435 | + | 15.2590i | −1.08374 | + | 0.696476i | ||||
\(481\) | −29.1847 | + | 33.6809i | −1.33071 | + | 1.53572i | ||||
\(482\) | 7.66507 | 0.349134 | ||||||||
\(483\) | −3.03445 | + | 3.71378i | −0.138072 | + | 0.168983i | ||||
\(484\) | 28.4398 | 1.29272 | ||||||||
\(485\) | 1.10308 | − | 1.27302i | 0.0500883 | − | 0.0578050i | ||||
\(486\) | −1.70772 | + | 1.09749i | −0.0774639 | + | 0.0497830i | ||||
\(487\) | 1.55001 | + | 10.7805i | 0.0702375 | + | 0.488513i | 0.994330 | + | 0.106343i | \(0.0339140\pi\) |
−0.924092 | + | 0.382170i | \(0.875177\pi\) | |||||||
\(488\) | 1.15940 | + | 2.53873i | 0.0524835 | + | 0.114923i | ||||
\(489\) | −1.76562 | + | 12.2802i | −0.0798441 | + | 0.555328i | ||||
\(490\) | −6.79496 | + | 1.99518i | −0.306965 | + | 0.0901330i | ||||
\(491\) | −33.4037 | − | 21.4673i | −1.50749 | − | 0.968805i | −0.993842 | − | 0.110803i | \(-0.964658\pi\) |
−0.513647 | − | 0.858001i | \(-0.671706\pi\) | |||||||
\(492\) | 0.976250 | − | 2.13769i | 0.0440127 | − | 0.0963745i | ||||
\(493\) | −14.5099 | − | 4.26049i | −0.653493 | − | 0.191883i | ||||
\(494\) | 16.9558 | + | 19.5680i | 0.762878 | + | 0.880408i | ||||
\(495\) | −11.2872 | − | 13.0261i | −0.507323 | − | 0.585482i | ||||
\(496\) | 23.8222 | + | 6.99483i | 1.06965 | + | 0.314077i | ||||
\(497\) | 2.28991 | − | 5.01421i | 0.102717 | − | 0.224918i | ||||
\(498\) | 12.0430 | + | 7.73959i | 0.539662 | + | 0.346820i | ||||
\(499\) | −9.66120 | + | 2.83678i | −0.432495 | + | 0.126992i | −0.490731 | − | 0.871311i | \(-0.663270\pi\) |
0.0582367 | + | 0.998303i | \(0.481452\pi\) | |||||||
\(500\) | 2.28542 | − | 15.8954i | 0.102207 | − | 0.710865i | ||||
\(501\) | 2.90686 | + | 6.36514i | 0.129869 | + | 0.284374i | ||||
\(502\) | 3.88822 | + | 27.0431i | 0.173540 | + | 1.20699i | ||||
\(503\) | 19.0831 | − | 12.2640i | 0.850874 | − | 0.546824i | −0.0409732 | − | 0.999160i | \(-0.513046\pi\) |
0.891847 | + | 0.452337i | \(0.149409\pi\) | |||||||
\(504\) | −0.160576 | + | 0.185314i | −0.00715262 | + | 0.00825456i | ||||
\(505\) | 35.0170 | 1.55824 | ||||||||
\(506\) | −48.0791 | + | 1.39132i | −2.13738 | + | 0.0618516i | ||||
\(507\) | 10.0158 | 0.444818 | ||||||||
\(508\) | 16.6732 | − | 19.2419i | 0.739755 | − | 0.853722i | ||||
\(509\) | 15.5624 | − | 10.0013i | 0.689791 | − | 0.443302i | −0.148220 | − | 0.988954i | \(-0.547355\pi\) |
0.838012 | + | 0.545653i | \(0.183718\pi\) | |||||||
\(510\) | −1.77335 | − | 12.3339i | −0.0785251 | − | 0.546154i | ||||
\(511\) | 2.97330 | + | 6.51063i | 0.131531 | + | 0.288013i | ||||
\(512\) | 4.57180 | − | 31.7976i | 0.202047 | − | 1.40527i | ||||
\(513\) | −2.55098 | + | 0.749036i | −0.112629 | + | 0.0330708i | ||||
\(514\) | 10.1000 | + | 6.49087i | 0.445492 | + | 0.286300i | ||||
\(515\) | −21.5483 | + | 47.1841i | −0.949530 | + | 2.07918i | ||||
\(516\) | −10.0196 | − | 2.94203i | −0.441090 | − | 0.129516i | ||||
\(517\) | 29.5212 | + | 34.0693i | 1.29834 | + | 1.49837i | ||||
\(518\) | −12.3490 | − | 14.2515i | −0.542585 | − | 0.626176i | ||||
\(519\) | 0.00163682 | 0.000480614i | 7.18484e−5 | 2.10966e-5i | ||||||
\(520\) | 1.70483 | − | 3.73306i | 0.0747618 | − | 0.163705i | ||||
\(521\) | 10.3762 | + | 6.66838i | 0.454590 | + | 0.292147i | 0.747828 | − | 0.663892i | \(-0.231097\pi\) |
−0.293238 | + | 0.956039i | \(0.594733\pi\) | |||||||
\(522\) | 16.7400 | − | 4.91532i | 0.732691 | − | 0.215138i | ||||
\(523\) | 1.25383 | − | 8.72056i | 0.0548260 | − | 0.381323i | −0.943872 | − | 0.330311i | \(-0.892846\pi\) |
0.998698 | − | 0.0510120i | \(-0.0162447\pi\) | |||||||
\(524\) | 7.77451 | + | 17.0238i | 0.339631 | + | 0.743689i | ||||
\(525\) | 1.02047 | + | 7.09753i | 0.0445370 | + | 0.309762i | ||||
\(526\) | −54.4383 | + | 34.9854i | −2.37362 | + | 1.52544i | ||||
\(527\) | −7.64138 | + | 8.81863i | −0.332864 | + | 0.384145i | ||||
\(528\) | 18.4969 | 0.804974 | ||||||||
\(529\) | 22.9615 | − | 1.33004i | 0.998327 | − | 0.0578277i | ||||
\(530\) | 35.7388 | 1.55239 | ||||||||
\(531\) | 8.38999 | − | 9.68257i | 0.364095 | − | 0.420188i | ||||
\(532\) | −4.74341 | + | 3.04841i | −0.205653 | + | 0.132165i | ||||
\(533\) | −0.756561 | − | 5.26200i | −0.0327703 | − | 0.227922i | ||||
\(534\) | 5.18126 | + | 11.3454i | 0.224215 | + | 0.490962i | ||||
\(535\) | −9.56340 | + | 66.5149i | −0.413462 | + | 2.87569i | ||||
\(536\) | 2.54646 | − | 0.747708i | 0.109990 | − | 0.0322961i | ||||
\(537\) | 8.45016 | + | 5.43059i | 0.364652 | + | 0.234347i | ||||
\(538\) | 11.6531 | − | 25.5168i | 0.502402 | − | 1.10011i | ||||
\(539\) | 4.74051 | + | 1.39194i | 0.204188 | + | 0.0599551i | ||||
\(540\) | 4.84509 | + | 5.59153i | 0.208499 | + | 0.240621i | ||||
\(541\) | 3.50963 | + | 4.05033i | 0.150891 | + | 0.174137i | 0.826163 | − | 0.563432i | \(-0.190519\pi\) |
−0.675272 | + | 0.737569i | \(0.735974\pi\) | |||||||
\(542\) | 10.6318 | + | 3.12176i | 0.456673 | + | 0.134091i | ||||
\(543\) | 1.06823 | − | 2.33911i | 0.0458423 | − | 0.100381i | ||||
\(544\) | 11.9754 | + | 7.69610i | 0.513439 | + | 0.329968i | ||||
\(545\) | −15.1294 | + | 4.44240i | −0.648073 | + | 0.190291i | ||||
\(546\) | −1.38597 | + | 9.63963i | −0.0593140 | + | 0.412538i | ||||
\(547\) | −11.9121 | − | 26.0839i | −0.509325 | − | 1.11527i | −0.973325 | − | 0.229431i | \(-0.926313\pi\) |
0.464000 | − | 0.885835i | \(-0.346414\pi\) | |||||||
\(548\) | −1.90857 | − | 13.2744i | −0.0815301 | − | 0.567054i | ||||
\(549\) | −9.57516 | + | 6.15358i | −0.408658 | + | 0.262628i | ||||
\(550\) | −47.0948 | + | 54.3503i | −2.00813 | + | 2.31751i | ||||
\(551\) | 22.8502 | 0.973451 | ||||||||
\(552\) | 1.17548 | − | 0.0340160i | 0.0500316 | − | 0.00144782i | ||||
\(553\) | 11.5276 | 0.490205 | ||||||||
\(554\) | −11.8006 | + | 13.6186i | −0.501359 | + | 0.578599i | ||||
\(555\) | −27.2631 | + | 17.5209i | −1.15725 | + | 0.743721i | ||||
\(556\) | 2.58353 | + | 17.9689i | 0.109566 | + | 0.762050i | ||||
\(557\) | 11.9221 | + | 26.1058i | 0.505157 | + | 1.10614i | 0.974759 | + | 0.223261i | \(0.0716703\pi\) |
−0.469601 | + | 0.882878i | \(0.655602\pi\) | |||||||
\(558\) | 1.91587 | − | 13.3251i | 0.0811051 | − | 0.564098i | ||||
\(559\) | −22.6656 | + | 6.65521i | −0.958652 | + | 0.281486i | ||||
\(560\) | −10.9874 | − | 7.06120i | −0.464304 | − | 0.298390i | ||||
\(561\) | −3.61131 | + | 7.90766i | −0.152469 | + | 0.333862i | ||||
\(562\) | 28.0286 | + | 8.22993i | 1.18231 | + | 0.347158i | ||||
\(563\) | −28.3943 | − | 32.7688i | −1.19668 | − | 1.38104i | −0.905486 | − | 0.424376i | \(-0.860494\pi\) |
−0.291192 | − | 0.956665i | \(-0.594052\pi\) | |||||||
\(564\) | −12.6721 | − | 14.6244i | −0.533592 | − | 0.615798i | ||||
\(565\) | 11.5538 | + | 3.39250i | 0.486071 | + | 0.142723i | ||||
\(566\) | 11.8371 | − | 25.9197i | 0.497553 | − | 1.08949i | ||||
\(567\) | −0.841254 | − | 0.540641i | −0.0353293 | − | 0.0227048i | ||||
\(568\) | −1.29691 | + | 0.380807i | −0.0544171 | + | 0.0159783i | ||||
\(569\) | 1.78613 | − | 12.4228i | 0.0748786 | − | 0.520792i | −0.917516 | − | 0.397698i | \(-0.869809\pi\) |
0.992395 | − | 0.123094i | \(-0.0392817\pi\) | |||||||
\(570\) | 7.82155 | + | 17.1268i | 0.327609 | + | 0.717363i | ||||
\(571\) | −4.46987 | − | 31.0886i | −0.187058 | − | 1.30102i | −0.839575 | − | 0.543244i | \(-0.817196\pi\) |
0.652517 | − | 0.757774i | \(-0.273713\pi\) | |||||||
\(572\) | −42.2885 | + | 27.1772i | −1.76817 | + | 1.13633i | ||||
\(573\) | 6.82127 | − | 7.87217i | 0.284963 | − | 0.328865i | ||||
\(574\) | 2.24942 | 0.0938891 | ||||||||
\(575\) | 21.7585 | − | 26.6297i | 0.907394 | − | 1.11053i | ||||
\(576\) | −8.93540 | −0.372308 | ||||||||
\(577\) | 17.8241 | − | 20.5701i | 0.742027 | − | 0.856345i | −0.251743 | − | 0.967794i | \(-0.581004\pi\) |
0.993770 | + | 0.111449i | \(0.0355492\pi\) | |||||||
\(578\) | 23.7442 | − | 15.2595i | 0.987629 | − | 0.634711i | ||||
\(579\) | −2.98808 | − | 20.7826i | −0.124181 | − | 0.863695i | ||||
\(580\) | −26.4155 | − | 57.8419i | −1.09684 | − | 2.40175i | ||||
\(581\) | −1.00362 | + | 6.98033i | −0.0416372 | + | 0.289593i | ||||
\(582\) | 0.940451 | − | 0.276141i | 0.0389829 | − | 0.0114464i | ||||
\(583\) | −20.9752 | − | 13.4799i | −0.868703 | − | 0.558281i | ||||
\(584\) | 0.729072 | − | 1.59645i | 0.0301692 | − | 0.0660614i | ||||
\(585\) | 16.0587 | + | 4.71525i | 0.663944 | + | 0.194952i | ||||
\(586\) | 24.5223 | + | 28.3002i | 1.01301 | + | 1.16907i | ||||
\(587\) | −15.0054 | − | 17.3172i | −0.619341 | − | 0.714758i | 0.356241 | − | 0.934394i | \(-0.384058\pi\) |
−0.975582 | + | 0.219636i | \(0.929513\pi\) | |||||||
\(588\) | −2.03489 | − | 0.597496i | −0.0839173 | − | 0.0246403i | ||||
\(589\) | 7.32441 | − | 16.0382i | 0.301797 | − | 0.660843i | ||||
\(590\) | −76.3281 | − | 49.0531i | −3.14238 | − | 2.01948i | ||||
\(591\) | −14.6172 | + | 4.29201i | −0.601273 | + | 0.176550i | ||||
\(592\) | 4.94947 | − | 34.4243i | 0.203422 | − | 1.41483i | ||||
\(593\) | −11.5088 | − | 25.2007i | −0.472608 | − | 1.03487i | −0.984430 | − | 0.175776i | \(-0.943757\pi\) |
0.511822 | − | 0.859092i | \(-0.328971\pi\) | |||||||
\(594\) | −1.42733 | − | 9.92730i | −0.0585640 | − | 0.407322i | ||||
\(595\) | 5.16392 | − | 3.31865i | 0.211700 | − | 0.136051i | ||||
\(596\) | 5.89751 | − | 6.80609i | 0.241571 | − | 0.278788i | ||||
\(597\) | −11.1437 | −0.456081 | ||||||||
\(598\) | 38.5443 | − | 26.3768i | 1.57619 | − | 1.07863i | ||||
\(599\) | 27.0207 | 1.10404 | 0.552019 | − | 0.833832i | \(-0.313858\pi\) | ||||
0.552019 | + | 0.833832i | \(0.313858\pi\) | |||||||
\(600\) | 1.15141 | − | 1.32880i | 0.0470062 | − | 0.0542480i | ||||
\(601\) | −34.0015 | + | 21.8514i | −1.38695 | + | 0.891339i | −0.999533 | − | 0.0305653i | \(-0.990269\pi\) |
−0.387418 | + | 0.921904i | \(0.626633\pi\) | |||||||
\(602\) | −1.42250 | − | 9.89371i | −0.0579768 | − | 0.403237i | ||||
\(603\) | 4.49620 | + | 9.84530i | 0.183099 | + | 0.400932i | ||||
\(604\) | −3.38416 | + | 23.5374i | −0.137700 | + | 0.957722i | ||||
\(605\) | 44.8874 | − | 13.1801i | 1.82493 | − | 0.535848i | ||||
\(606\) | 17.1412 | + | 11.0160i | 0.696314 | + | 0.447494i | ||||
\(607\) | −5.00293 | + | 10.9549i | −0.203062 | + | 0.444645i | −0.983576 | − | 0.180494i | \(-0.942230\pi\) |
0.780514 | + | 0.625139i | \(0.214958\pi\) | |||||||
\(608\) | −20.6382 | − | 6.05991i | −0.836988 | − | 0.245762i | ||||
\(609\) | 5.62825 | + | 6.49534i | 0.228068 | + | 0.263205i | ||||
\(610\) | 52.7853 | + | 60.9175i | 2.13721 | + | 2.46648i | ||||
\(611\) | −42.0007 | − | 12.3325i | −1.69917 | − | 0.498920i | ||||
\(612\) | 1.55017 | − | 3.39440i | 0.0626619 | − | 0.137210i | ||||
\(613\) | −24.8035 | − | 15.9402i | −1.00180 | − | 0.643820i | −0.0665439 | − | 0.997783i | \(-0.521197\pi\) |
−0.935259 | + | 0.353964i | \(0.884834\pi\) | |||||||
\(614\) | −7.84233 | + | 2.30272i | −0.316491 | + | 0.0929300i | ||||
\(615\) | 0.550155 | − | 3.82641i | 0.0221844 | − | 0.154296i | ||||
\(616\) | −0.503266 | − | 1.10200i | −0.0202772 | − | 0.0444008i | ||||
\(617\) | 0.238232 | + | 1.65694i | 0.00959085 | + | 0.0667059i | 0.994055 | − | 0.108881i | \(-0.0347268\pi\) |
−0.984464 | + | 0.175587i | \(0.943818\pi\) | |||||||
\(618\) | −25.3918 | + | 16.3183i | −1.02141 | + | 0.656418i | ||||
\(619\) | −25.2883 | + | 29.1842i | −1.01642 | + | 1.17301i | −0.0315907 | + | 0.999501i | \(0.510057\pi\) |
−0.984832 | + | 0.173513i | \(0.944488\pi\) | |||||||
\(620\) | −49.0656 | −1.97052 | ||||||||
\(621\) | 0.819544 | + | 4.72529i | 0.0328872 | + | 0.189619i | ||||
\(622\) | −19.5987 | −0.785835 | ||||||||
\(623\) | −4.02357 | + | 4.64345i | −0.161201 | + | 0.186036i | ||||
\(624\) | −15.1097 | + | 9.71041i | −0.604872 | + | 0.388727i | ||||
\(625\) | 1.34293 | + | 9.34025i | 0.0537170 | + | 0.373610i | ||||
\(626\) | 21.0499 | + | 46.0929i | 0.841324 | + | 1.84224i | ||||
\(627\) | 1.86939 | − | 13.0019i | 0.0746562 | − | 0.519245i | ||||
\(628\) | −18.8597 | + | 5.53771i | −0.752584 | + | 0.220979i | ||||
\(629\) | 13.7505 | + | 8.83691i | 0.548268 | + | 0.352351i | ||||
\(630\) | −2.94189 | + | 6.44185i | −0.117208 | + | 0.256649i | ||||
\(631\) | −14.7568 | − | 4.33299i | −0.587459 | − | 0.172493i | −0.0255229 | − | 0.999674i | \(-0.508125\pi\) |
−0.561936 | + | 0.827181i | \(0.689943\pi\) | |||||||
\(632\) | −1.85106 | − | 2.13624i | −0.0736312 | − | 0.0849749i | ||||
\(633\) | 6.89837 | + | 7.96114i | 0.274185 | + | 0.316427i | ||||
\(634\) | −57.6748 | − | 16.9348i | −2.29056 | − | 0.672568i | ||||
\(635\) | 17.3984 | − | 38.0972i | 0.690434 | − | 1.51184i | ||||
\(636\) | 9.00368 | + | 5.78631i | 0.357019 | + | 0.229442i | ||||
\(637\) | −4.60315 | + | 1.35161i | −0.182383 | + | 0.0535526i | ||||
\(638\) | −12.2673 | + | 85.3208i | −0.485666 | + | 3.37788i | ||||
\(639\) | −2.28991 | − | 5.01421i | −0.0905875 | − | 0.198359i | ||||
\(640\) | 0.972150 | + | 6.76145i | 0.0384276 | + | 0.267270i | ||||
\(641\) | 23.2649 | − | 14.9514i | 0.918908 | − | 0.590546i | 0.00656744 | − | 0.999978i | \(-0.497910\pi\) |
0.912341 | + | 0.409432i | \(0.134273\pi\) | |||||||
\(642\) | −25.6063 | + | 29.5512i | −1.01060 | + | 1.16629i | ||||
\(643\) | 48.5335 | 1.91397 | 0.956987 | − | 0.290129i | \(-0.0936983\pi\) | ||||
0.956987 | + | 0.290129i | \(0.0936983\pi\) | |||||||
\(644\) | 4.49102 | + | 9.12575i | 0.176971 | + | 0.359605i | ||||
\(645\) | −17.1777 | −0.676373 | ||||||||
\(646\) | 6.21876 | − | 7.17683i | 0.244674 | − | 0.282369i | ||||
\(647\) | 35.9305 | − | 23.0911i | 1.41257 | − | 0.907807i | 0.412580 | − | 0.910922i | \(-0.364628\pi\) |
0.999995 | + | 0.00311494i | \(0.000991519\pi\) | |||||||
\(648\) | 0.0348965 | + | 0.242710i | 0.00137086 | + | 0.00953456i | ||||
\(649\) | 26.2953 | + | 57.5787i | 1.03218 | + | 2.26016i | ||||
\(650\) | 9.93812 | − | 69.1211i | 0.389805 | − | 2.71115i | ||||
\(651\) | 6.36307 | − | 1.86836i | 0.249388 | − | 0.0732270i | ||||
\(652\) | 22.1346 | + | 14.2251i | 0.866859 | + | 0.557096i | ||||
\(653\) | −0.308526 | + | 0.675577i | −0.0120735 | + | 0.0264374i | −0.915573 | − | 0.402152i | \(-0.868262\pi\) |
0.903499 | + | 0.428590i | \(0.140989\pi\) | |||||||
\(654\) | −8.80356 | − | 2.58496i | −0.344246 | − | 0.101080i | ||||
\(655\) | 20.1603 | + | 23.2662i | 0.787727 | + | 0.909085i | ||||
\(656\) | 2.71672 | + | 3.13526i | 0.106070 | + | 0.122411i | ||||
\(657\) | 6.86750 | + | 2.01648i | 0.267927 | + | 0.0786704i | ||||
\(658\) | 7.69439 | − | 16.8484i | 0.299958 | − | 0.656817i | ||||
\(659\) | −17.3430 | − | 11.1456i | −0.675585 | − | 0.434172i | 0.157350 | − | 0.987543i | \(-0.449705\pi\) |
−0.832935 | + | 0.553371i | \(0.813341\pi\) | |||||||
\(660\) | −35.0734 | + | 10.2985i | −1.36523 | + | 0.400868i | ||||
\(661\) | 3.85441 | − | 26.8080i | 0.149919 | − | 1.04271i | −0.766429 | − | 0.642329i | \(-0.777968\pi\) |
0.916348 | − | 0.400382i | \(-0.131123\pi\) | |||||||
\(662\) | −14.6345 | − | 32.0450i | −0.568784 | − | 1.24546i | ||||
\(663\) | −1.20133 | − | 8.35543i | −0.0466557 | − | 0.324498i | ||||
\(664\) | 1.45471 | − | 0.934887i | 0.0564538 | − | 0.0362807i | ||||
\(665\) | −6.07392 | + | 7.00968i | −0.235537 | + | 0.271824i | ||||
\(666\) | −18.8575 | −0.730712 | ||||||||
\(667\) | 4.68336 | − | 40.9512i | 0.181340 | − | 1.58564i | ||||
\(668\) | 14.8402 | 0.574186 | ||||||||
\(669\) | −15.0564 | + | 17.3760i | −0.582114 | + | 0.671795i | ||||
\(670\) | 64.4815 | − | 41.4397i | 2.49114 | − | 1.60096i | ||||
\(671\) | −8.00300 | − | 55.6621i | −0.308953 | − | 2.14881i | ||||
\(672\) | −3.36082 | − | 7.35917i | −0.129647 | − | 0.283886i | ||||
\(673\) | −0.781919 | + | 5.43837i | −0.0301408 | + | 0.209634i | −0.999326 | − | 0.0366978i | \(-0.988316\pi\) |
0.969186 | + | 0.246332i | \(0.0792252\pi\) | |||||||
\(674\) | 5.24507 | − | 1.54009i | 0.202033 | − | 0.0593221i | ||||
\(675\) | 6.03222 | + | 3.87667i | 0.232180 | + | 0.149213i | ||||
\(676\) | 8.82403 | − | 19.3219i | 0.339386 | − | 0.743151i | ||||
\(677\) | −12.1162 | − | 3.55764i | −0.465664 | − | 0.136731i | 0.0404798 | − | 0.999180i | \(-0.487111\pi\) |
−0.506144 | + | 0.862449i | \(0.668930\pi\) | |||||||
\(678\) | 4.58846 | + | 5.29537i | 0.176219 | + | 0.203367i | ||||
\(679\) | 0.316193 | + | 0.364907i | 0.0121344 | + | 0.0140038i | ||||
\(680\) | −1.44420 | − | 0.424054i | −0.0553824 | − | 0.0162617i | ||||
\(681\) | 7.37485 | − | 16.1487i | 0.282605 | − | 0.618818i | ||||
\(682\) | 55.9533 | + | 35.9590i | 2.14256 | + | 1.37694i | ||||
\(683\) | 22.6831 | − | 6.66035i | 0.867944 | − | 0.254851i | 0.182703 | − | 0.983168i | \(-0.441515\pi\) |
0.685241 | + | 0.728317i | \(0.259697\pi\) | |||||||
\(684\) | −0.802443 | + | 5.58111i | −0.0306822 | + | 0.213399i | ||||
\(685\) | −9.16424 | − | 20.0669i | −0.350148 | − | 0.766716i | ||||
\(686\) | −0.288895 | − | 2.00931i | −0.0110301 | − | 0.0767159i | ||||
\(687\) | 2.57643 | − | 1.65577i | 0.0982969 | − | 0.0631716i | ||||
\(688\) | 12.0719 | − | 13.9317i | 0.460237 | − | 0.531142i | ||||
\(689\) | 24.2107 | 0.922356 | ||||||||
\(690\) | 32.2970 | − | 10.5072i | 1.22953 | − | 0.400001i | ||||
\(691\) | 2.78562 | 0.105970 | 0.0529850 | − | 0.998595i | \(-0.483126\pi\) | ||||
0.0529850 | + | 0.998595i | \(0.483126\pi\) | |||||||
\(692\) | 0.00236923 | − | 0.00273423i | 9.00644e−5 | − | 0.000103940i | ||||
\(693\) | 4.15634 | − | 2.67111i | 0.157886 | − | 0.101467i | ||||
\(694\) | −0.300158 | − | 2.08765i | −0.0113939 | − | 0.0792460i | ||||
\(695\) | 12.4052 | + | 27.1635i | 0.470554 | + | 1.03037i | ||||
\(696\) | 0.299920 | − | 2.08599i | 0.0113684 | − | 0.0790693i | ||||
\(697\) | −1.87077 | + | 0.549308i | −0.0708605 | + | 0.0208065i | ||||
\(698\) | −48.9950 | − | 31.4872i | −1.85449 | − | 1.19181i | ||||
\(699\) | −7.40033 | + | 16.2045i | −0.279906 | + | 0.612909i | ||||
\(700\) | 14.5912 | + | 4.28436i | 0.551495 | + | 0.161933i | ||||
\(701\) | −18.1861 | − | 20.9879i | −0.686881 | − | 0.792703i | 0.300037 | − | 0.953928i | \(-0.403001\pi\) |
−0.986918 | + | 0.161225i | \(0.948456\pi\) | |||||||
\(702\) | 6.37753 | + | 7.36006i | 0.240704 | + | 0.277788i | ||||
\(703\) | −23.6974 | − | 6.95818i | −0.893764 | − | 0.262433i | ||||
\(704\) | 18.3392 | − | 40.1572i | 0.691184 | − | 1.51348i | ||||
\(705\) | −26.7783 | − | 17.2094i | −1.00853 | − | 0.648142i | ||||
\(706\) | −0.0654196 | + | 0.0192089i | −0.00246210 | + | 0.000722937i | ||||
\(707\) | −1.42848 | + | 9.93531i | −0.0537236 | + | 0.373656i | ||||
\(708\) | −11.2874 | − | 24.7159i | −0.424206 | − | 0.928881i | ||||
\(709\) | 2.07434 | + | 14.4274i | 0.0779036 | + | 0.541832i | 0.990977 | + | 0.134035i | \(0.0427936\pi\) |
−0.913073 | + | 0.407796i | \(0.866297\pi\) | |||||||
\(710\) | −32.8404 | + | 21.1052i | −1.23248 | + | 0.792065i | ||||
\(711\) | 7.54899 | − | 8.71200i | 0.283109 | − | 0.326726i | ||||
\(712\) | 1.50659 | 0.0564617 | ||||||||
\(713\) | −27.2418 | − | 16.4137i | −1.02021 | − | 0.614697i | ||||
\(714\) | 3.57181 | 0.133672 | ||||||||
\(715\) | −54.1502 | + | 62.4927i | −2.02510 | + | 2.33709i | ||||
\(716\) | 17.9210 | − | 11.5172i | 0.669741 | − | 0.430416i | ||||
\(717\) | 0.282658 | + | 1.96593i | 0.0105561 | + | 0.0734190i | ||||
\(718\) | 7.15854 | + | 15.6750i | 0.267154 | + | 0.584987i | ||||
\(719\) | 5.04980 | − | 35.1221i | 0.188326 | − | 1.30984i | −0.648016 | − | 0.761627i | \(-0.724401\pi\) |
0.836342 | − | 0.548208i | \(-0.184690\pi\) | |||||||
\(720\) | −12.5317 | + | 3.67965i | −0.467031 | + | 0.137133i | ||||
\(721\) | −12.5084 | − | 8.03868i | −0.465838 | − | 0.299376i | ||||
\(722\) | 10.0616 | − | 22.0317i | 0.374452 | − | 0.819936i | ||||
\(723\) | 3.62299 | + | 1.06381i | 0.134741 | + | 0.0395634i | ||||
\(724\) | −3.57134 | − | 4.12155i | −0.132728 | − | 0.153176i | ||||
\(725\) | −40.3574 | − | 46.5749i | −1.49884 | − | 1.72975i | ||||
\(726\) | 26.1192 | + | 7.66930i | 0.969375 | + | 0.284634i | ||||
\(727\) | −9.28169 | + | 20.3241i | −0.344239 | + | 0.753778i | −0.999999 | − | 0.00119096i | \(-0.999621\pi\) |
0.655760 | + | 0.754969i | \(0.272348\pi\) | |||||||
\(728\) | 0.989627 | + | 0.635995i | 0.0366780 | + | 0.0235715i | ||||
\(729\) | −0.959493 | + | 0.281733i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 7.21360 | − | 50.1717i | 0.266987 | − | 1.85694i | ||||
\(731\) | 3.59909 | + | 7.88090i | 0.133117 | + | 0.291486i | ||||
\(732\) | 3.43532 | + | 23.8932i | 0.126973 | + | 0.883118i | ||||
\(733\) | 23.8356 | − | 15.3182i | 0.880386 | − | 0.565790i | −0.0205269 | − | 0.999789i | \(-0.506534\pi\) |
0.900913 | + | 0.433999i | \(0.142898\pi\) | |||||||
\(734\) | 7.03809 | − | 8.12239i | 0.259781 | − | 0.299803i | ||||
\(735\) | −3.48863 | −0.128680 | ||||||||
\(736\) | −15.0903 | + | 35.7448i | −0.556236 | + | 1.31757i | ||||
\(737\) | −53.4745 | −1.96976 | ||||||||
\(738\) | 1.47306 | − | 1.70000i | 0.0542240 | − | 0.0625779i | ||||
\(739\) | 19.9531 | − | 12.8231i | 0.733985 | − | 0.471704i | −0.119491 | − | 0.992835i | \(-0.538126\pi\) |
0.853476 | + | 0.521132i | \(0.174490\pi\) | |||||||
\(740\) | 9.78129 | + | 68.0303i | 0.359567 | + | 2.50085i | ||||
\(741\) | 5.29860 | + | 11.6023i | 0.194649 | + | 0.426222i | ||||
\(742\) | −1.45793 | + | 10.1401i | −0.0535222 | + | 0.372255i | ||||
\(743\) | −2.21438 | + | 0.650202i | −0.0812379 | + | 0.0238536i | −0.322099 | − | 0.946706i | \(-0.604388\pi\) |
0.240861 | + | 0.970560i | \(0.422570\pi\) | |||||||
\(744\) | −1.36799 | − | 0.879154i | −0.0501529 | − | 0.0322313i | ||||
\(745\) | 6.15401 | − | 13.4754i | 0.225465 | − | 0.493700i | ||||
\(746\) | −7.54563 | − | 2.21560i | −0.276265 | − | 0.0811188i | ||||
\(747\) | 4.61815 | + | 5.32963i | 0.168969 | + | 0.195001i | ||||
\(748\) | 12.0734 | + | 13.9334i | 0.441447 | + | 0.509457i | ||||
\(749\) | −18.4820 | − | 5.42681i | −0.675318 | − | 0.198291i | ||||
\(750\) | 6.38542 | − | 13.9821i | 0.233163 | − | 0.510555i | ||||
\(751\) | −33.0754 | − | 21.2563i | −1.20694 | − | 0.775652i | −0.226795 | − | 0.973943i | \(-0.572825\pi\) |
−0.980143 | + | 0.198291i | \(0.936461\pi\) | |||||||
\(752\) | 32.7762 | − | 9.62396i | 1.19523 | − | 0.350950i | ||||
\(753\) | −1.91540 | + | 13.3219i | −0.0698011 | + | 0.485478i | ||||
\(754\) | −34.7704 | − | 76.1366i | −1.26626 | − | 2.77273i | ||||
\(755\) | 5.56683 | + | 38.7181i | 0.202598 | + | 1.40910i | ||||
\(756\) | −1.78412 | + | 1.14659i | −0.0648880 | + | 0.0417010i | ||||
\(757\) | 22.6037 | − | 26.0860i | 0.821545 | − | 0.948113i | −0.177809 | − | 0.984065i | \(-0.556901\pi\) |
0.999354 | + | 0.0359518i | \(0.0114463\pi\) | |||||||
\(758\) | −33.5065 | −1.21701 | ||||||||
\(759\) | −22.9183 | − | 6.01510i | −0.831881 | − | 0.218334i | ||||
\(760\) | 2.27432 | 0.0824983 | ||||||||
\(761\) | 31.4406 | − | 36.2844i | 1.13972 | − | 1.31531i | 0.197503 | − | 0.980302i | \(-0.436717\pi\) |
0.942217 | − | 0.335004i | \(-0.108738\pi\) | |||||||
\(762\) | 20.5017 | − | 13.1756i | 0.742698 | − | 0.477303i | ||||
\(763\) | −0.643245 | − | 4.47387i | −0.0232870 | − | 0.161965i | ||||
\(764\) | −9.17692 | − | 20.0946i | −0.332009 | − | 0.726999i | ||||
\(765\) | 0.873581 | − | 6.07589i | 0.0315844 | − | 0.219674i | ||||
\(766\) | 1.76566 | − | 0.518443i | 0.0637957 | − | 0.0187321i | ||||
\(767\) | −51.7074 | − | 33.2303i | −1.86705 | − | 1.19988i | ||||
\(768\) | 5.77259 | − | 12.6402i | 0.208300 | − | 0.456114i | ||||
\(769\) | −27.1287 | − | 7.96570i | −0.978286 | − | 0.287251i | −0.246769 | − | 0.969074i | \(-0.579369\pi\) |
−0.731516 | + | 0.681824i | \(0.761187\pi\) | |||||||
\(770\) | −22.9128 | − | 26.4427i | −0.825719 | − | 0.952930i | ||||
\(771\) | 3.87305 | + | 4.46974i | 0.139484 | + | 0.160974i | ||||
\(772\) | −42.7251 | − | 12.5452i | −1.53771 | − | 0.451512i | ||||
\(773\) | −19.7170 | + | 43.1743i | −0.709172 | + | 1.55287i | 0.119311 | + | 0.992857i | \(0.461932\pi\) |
−0.828483 | + | 0.560014i | \(0.810796\pi\) | |||||||
\(774\) | −8.40870 | − | 5.40395i | −0.302245 | − | 0.194241i | ||||
\(775\) | −45.6265 | + | 13.3971i | −1.63895 | + | 0.481239i | ||||
\(776\) | 0.0168494 | − | 0.117190i | 0.000604860 | − | 0.00420689i | ||||
\(777\) | −3.85900 | − | 8.45004i | −0.138441 | − | 0.303144i | ||||
\(778\) | −8.15335 | − | 56.7078i | −0.292312 | − | 2.03307i | ||||
\(779\) | 2.47841 | − | 1.59278i | 0.0887983 | − | 0.0570672i | ||||
\(780\) | 23.2442 | − | 26.8253i | 0.832276 | − | 0.960498i | ||||
\(781\) | 27.2345 | 0.974529 | ||||||||
\(782\) | −11.5874 | − | 12.6160i | −0.414365 | − | 0.451146i | ||||
\(783\) | 8.59457 | 0.307145 | ||||||||
\(784\) | 2.45168 | − | 2.82939i | 0.0875601 | − | 0.101050i | ||||
\(785\) | −27.2004 | + | 17.4807i | −0.970825 | + | 0.623912i | ||||
\(786\) | 2.54937 | + | 17.7313i | 0.0909331 | + | 0.632454i | ||||
\(787\) | −2.70940 | − | 5.93276i | −0.0965796 | − | 0.211480i | 0.855175 | − | 0.518339i | \(-0.173449\pi\) |
−0.951755 | + | 0.306859i | \(0.900722\pi\) | |||||||
\(788\) | −4.59803 | + | 31.9800i | −0.163798 | + | 1.13924i | ||||
\(789\) | −30.5865 | + | 8.98099i | −1.08891 | + | 0.319732i | ||||
\(790\) | −68.6771 | − | 44.1361i | −2.44342 | − | 1.57029i | ||||
\(791\) | −1.43387 | + | 3.13974i | −0.0509826 | + | 0.111636i | ||||
\(792\) | −1.16240 | − | 0.341312i | −0.0413042 | − | 0.0121280i | ||||
\(793\) | 35.7587 | + | 41.2677i | 1.26983 | + | 1.46546i | ||||
\(794\) | 20.8781 | + | 24.0946i | 0.740936 | + | 0.855085i | ||||
\(795\) | 16.8924 | + | 4.96005i | 0.599111 | + | 0.175915i | ||||
\(796\) | −9.81771 | + | 21.4978i | −0.347979 | + | 0.761969i | ||||
\(797\) | −13.2329 | − | 8.50429i | −0.468735 | − | 0.301238i | 0.284869 | − | 0.958566i | \(-0.408050\pi\) |
−0.753604 | + | 0.657329i | \(0.771686\pi\) | |||||||
\(798\) | −5.17843 | + | 1.52052i | −0.183314 | + | 0.0538260i | ||||
\(799\) | −2.28481 | + | 15.8912i | −0.0808308 | + | 0.562190i | ||||
\(800\) | 24.0988 | + | 52.7691i | 0.852022 | + | 1.86567i | ||||
\(801\) | 0.874405 | + | 6.08162i | 0.0308956 | + | 0.214884i | ||||
\(802\) | 14.7239 | − | 9.46249i | 0.519920 | − | 0.334132i | ||||
\(803\) | −23.1574 | + | 26.7251i | −0.817207 | + | 0.943107i | ||||
\(804\) | 22.9542 | 0.809531 | ||||||||
\(805\) | 11.3176 | + | 12.3221i | 0.398891 | + | 0.434298i | ||||
\(806\) | −64.5845 | −2.27489 | ||||||||
\(807\) | 9.04939 | − | 10.4436i | 0.318554 | − | 0.367630i | ||||
\(808\) | 2.07054 | − | 1.33065i | 0.0728412 | − | 0.0468122i | ||||
\(809\) | 5.59745 | + | 38.9311i | 0.196796 | + | 1.36874i | 0.813507 | + | 0.581555i | \(0.197556\pi\) |
−0.616711 | + | 0.787189i | \(0.711535\pi\) | |||||||
\(810\) | 2.94189 | + | 6.44185i | 0.103368 | + | 0.226344i | ||||
\(811\) | 3.56419 | − | 24.7895i | 0.125156 | − | 0.870477i | −0.826418 | − | 0.563057i | \(-0.809625\pi\) |
0.951574 | − | 0.307420i | \(-0.0994657\pi\) | |||||||
\(812\) | 17.4890 | − | 5.13522i | 0.613742 | − | 0.180211i | ||||
\(813\) | 4.59197 | + | 2.95108i | 0.161048 | + | 0.103499i | ||||
\(814\) | 38.7034 | − | 84.7487i | 1.35655 | − | 2.97044i | ||||
\(815\) | 41.5282 | + | 12.1938i | 1.45467 | + | 0.427130i | ||||
\(816\) | 4.31383 | + | 4.97842i | 0.151014 | + | 0.174280i | ||||
\(817\) | −8.57287 | − | 9.89363i | −0.299927 | − | 0.346134i | ||||
\(818\) | −50.0030 | − | 14.6822i | −1.74831 | − | 0.513351i | ||||
\(819\) | −1.99295 | + | 4.36394i | −0.0696392 | + | 0.152488i | ||||
\(820\) | −6.89700 | − | 4.43243i | −0.240854 | − | 0.154787i | ||||
\(821\) | 39.3094 | − | 11.5423i | 1.37191 | − | 0.402829i | 0.488963 | − | 0.872304i | \(-0.337375\pi\) |
0.882945 | + | 0.469476i | \(0.155557\pi\) | |||||||
\(822\) | 1.82684 | − | 12.7059i | 0.0637183 | − | 0.443171i | ||||
\(823\) | 8.22341 | + | 18.0068i | 0.286650 | + | 0.627676i | 0.997103 | − | 0.0760690i | \(-0.0242369\pi\) |
−0.710452 | + | 0.703745i | \(0.751510\pi\) | |||||||
\(824\) | 0.518869 | + | 3.60881i | 0.0180756 | + | 0.125719i | ||||
\(825\) | −29.8031 | + | 19.1533i | −1.03761 | + | 0.666831i | ||||
\(826\) | 17.0315 | − | 19.6554i | 0.592600 | − | 0.683897i | ||||
\(827\) | 32.7838 | 1.14001 | 0.570003 | − | 0.821643i | \(-0.306942\pi\) | ||||
0.570003 | + | 0.821643i | \(0.306942\pi\) | |||||||
\(828\) | 9.83777 | + | 2.58201i | 0.341886 | + | 0.0897309i | ||||
\(829\) | −11.6319 | −0.403991 | −0.201996 | − | 0.979386i | \(-0.564743\pi\) | ||||
−0.201996 | + | 0.979386i | \(0.564743\pi\) | |||||||
\(830\) | 32.7049 | − | 37.7435i | 1.13520 | − | 1.31009i | ||||
\(831\) | −7.46777 | + | 4.79924i | −0.259054 | + | 0.166484i | ||||
\(832\) | 6.10067 | + | 42.4311i | 0.211503 | + | 1.47103i | ||||
\(833\) | 0.730938 | + | 1.60053i | 0.0253255 | + | 0.0554551i | ||||
\(834\) | −2.47290 | + | 17.1994i | −0.0856294 | + | 0.595566i | ||||
\(835\) | 23.4228 | − | 6.87755i | 0.810579 | − | 0.238008i | ||||
\(836\) | −23.4355 | − | 15.0611i | −0.810534 | − | 0.520899i | ||||
\(837\) | 2.75491 | − | 6.03240i | 0.0952235 | − | 0.208510i | ||||
\(838\) | 54.9223 | + | 16.1266i | 1.89726 | + | 0.557086i | ||||
\(839\) | −1.70326 | − | 1.96567i | −0.0588032 | − | 0.0678625i | 0.725586 | − | 0.688132i | \(-0.241569\pi\) |
−0.784389 | + | 0.620269i | \(0.787023\pi\) | |||||||
\(840\) | 0.560189 | + | 0.646493i | 0.0193284 | + | 0.0223061i | ||||
\(841\) | −43.0492 | − | 12.6404i | −1.48446 | − | 0.435876i | ||||
\(842\) | 6.48598 | − | 14.2023i | 0.223522 | − | 0.489444i | ||||
\(843\) | 12.1059 | + | 7.77996i | 0.416948 | + | 0.267956i | ||||
\(844\) | 21.4357 | − | 6.29408i | 0.737847 | − | 0.216651i | ||||
\(845\) | 4.97269 | − | 34.5858i | 0.171066 | − | 1.18979i | ||||
\(846\) | −7.69439 | − | 16.8484i | −0.264539 | − | 0.579259i | ||||
\(847\) | 1.90844 | + | 13.2735i | 0.0655747 | + | 0.456082i | ||||
\(848\) | −15.8941 | + | 10.2145i | −0.545807 | + | 0.350769i | ||||
\(849\) | 9.19229 | − | 10.6085i | 0.315478 | − | 0.364082i | ||||
\(850\) | −25.6117 | −0.878476 | ||||||||
\(851\) | −17.3272 | + | 41.0434i | −0.593968 | + | 1.40695i | ||||
\(852\) | −11.6905 | −0.400511 | ||||||||
\(853\) | −18.9120 | + | 21.8257i | −0.647536 | + | 0.747297i | −0.980688 | − | 0.195576i | \(-0.937342\pi\) |
0.333152 | + | 0.942873i | \(0.391888\pi\) | |||||||
\(854\) | −19.4373 | + | 12.4916i | −0.665131 | + | 0.427454i | ||||
\(855\) | 1.31999 | + | 9.18073i | 0.0451427 | + | 0.313974i | ||||
\(856\) | 1.96210 | + | 4.29640i | 0.0670632 | + | 0.146848i | ||||
\(857\) | −3.78314 | + | 26.3123i | −0.129230 | + | 0.898812i | 0.817304 | + | 0.576207i | \(0.195468\pi\) |
−0.946534 | + | 0.322605i | \(0.895441\pi\) | |||||||
\(858\) | −46.1667 | + | 13.5558i | −1.57611 | + | 0.462787i | ||||
\(859\) | 28.2125 | + | 18.1311i | 0.962599 | + | 0.618625i | 0.924716 | − | 0.380658i | \(-0.124302\pi\) |
0.0378826 | + | 0.999282i | \(0.487939\pi\) | |||||||
\(860\) | −15.1338 | + | 33.1383i | −0.516057 | + | 1.13001i | ||||
\(861\) | 1.06322 | + | 0.312189i | 0.0362344 | + | 0.0106394i | ||||
\(862\) | 17.6553 | + | 20.3753i | 0.601341 | + | 0.693984i | ||||
\(863\) | 20.5543 | + | 23.7209i | 0.699676 | + | 0.807470i | 0.988709 | − | 0.149850i | \(-0.0478790\pi\) |
−0.289032 | + | 0.957319i | \(0.593334\pi\) | |||||||
\(864\) | −7.76256 | − | 2.27929i | −0.264088 | − | 0.0775432i | ||||
\(865\) | 0.00247227 | − | 0.00541352i | 8.40597e−5 | − | 0.000184065i | ||||
\(866\) | 2.92604 | + | 1.88045i | 0.0994308 | + | 0.0639003i | ||||
\(867\) | 13.3408 | − | 3.91722i | 0.453078 | − | 0.133036i | ||||
\(868\) | 2.00158 | − | 13.9213i | 0.0679381 | − | 0.472520i | ||||
\(869\) | 23.6595 | + | 51.8071i | 0.802594 | + | 1.75744i | ||||
\(870\) | −8.66202 | − | 60.2457i | −0.293670 | − | 2.04252i | ||||
\(871\) | 43.6821 | − | 28.0728i | 1.48011 | − | 0.951210i | ||||
\(872\) | −0.725783 | + | 0.837598i | −0.0245781 | + | 0.0283646i | ||||
\(873\) | 0.482841 | 0.0163417 | ||||||||
\(874\) | 22.1701 | + | 13.3579i | 0.749915 | + | 0.451837i | ||||
\(875\) | 7.57211 | 0.255984 | ||||||||
\(876\) | 9.94041 | − | 11.4718i | 0.335855 | − | 0.387598i | ||||
\(877\) | −18.7710 | + | 12.0634i | −0.633852 | + | 0.407352i | −0.817734 | − | 0.575596i | \(-0.804770\pi\) |
0.183882 | + | 0.982948i | \(0.441134\pi\) | |||||||
\(878\) | 2.79310 | + | 19.4264i | 0.0942626 | + | 0.655610i | ||||
\(879\) | 7.66309 | + | 16.7798i | 0.258470 | + | 0.565970i | ||||
\(880\) | 9.18340 | − | 63.8720i | 0.309572 | − | 2.15312i | ||||
\(881\) | −19.6810 | + | 5.77887i | −0.663071 | + | 0.194695i | −0.595915 | − | 0.803047i | \(-0.703211\pi\) |
−0.0671556 | + | 0.997743i | \(0.521392\pi\) | |||||||
\(882\) | −1.70772 | − | 1.09749i | −0.0575020 | − | 0.0369543i | ||||
\(883\) | −0.624730 | + | 1.36797i | −0.0210238 | + | 0.0460358i | −0.919853 | − | 0.392264i | \(-0.871692\pi\) |
0.898829 | + | 0.438300i | \(0.144419\pi\) | |||||||
\(884\) | −17.1772 | − | 5.04367i | −0.577731 | − | 0.169637i | ||||
\(885\) | −29.2695 | − | 33.7789i | −0.983885 | − | 1.13546i | ||||
\(886\) | 34.2919 | + | 39.5749i | 1.15206 | + | 1.32955i | ||||
\(887\) | 25.6462 | + | 7.53040i | 0.861114 | + | 0.252846i | 0.682332 | − | 0.731043i | \(-0.260966\pi\) |
0.178782 | + | 0.983889i | \(0.442784\pi\) | |||||||
\(888\) | −0.946252 | + | 2.07200i | −0.0317541 | + | 0.0695318i | ||||
\(889\) | 10.0995 | + | 6.49054i | 0.338726 | + | 0.217686i | ||||
\(890\) | 41.7493 | − | 12.2587i | 1.39944 | − | 0.410913i | ||||
\(891\) | 0.703127 | − | 4.89036i | 0.0235556 | − | 0.163833i | ||||
\(892\) | 20.2559 | + | 44.3543i | 0.678219 | + | 1.48509i | ||||
\(893\) | −3.45237 | − | 24.0118i | −0.115529 | − | 0.803523i | ||||
\(894\) | 7.25168 | − | 4.66037i | 0.242532 | − | 0.155866i | ||||
\(895\) | 22.9478 | − | 26.4832i | 0.767061 | − | 0.885236i | ||||
\(896\) | −1.95807 | −0.0654146 | ||||||||
\(897\) | 21.8792 | − | 7.11793i | 0.730525 | − | 0.237661i | ||||
\(898\) | 27.0551 | 0.902839 | ||||||||
\(899\) | −37.3248 | + | 43.0751i | −1.24485 | + | 1.43664i | ||||
\(900\) | 12.7931 | − | 8.22162i | 0.426436 | − | 0.274054i | ||||
\(901\) | −1.26370 | − | 8.78922i | −0.0420999 | − | 0.292811i | ||||
\(902\) | 4.61675 | + | 10.1093i | 0.153721 | + | 0.336602i | ||||
\(903\) | 0.700748 | − | 4.87381i | 0.0233194 | − | 0.162190i | ||||
\(904\) | 0.812084 | − | 0.238449i | 0.0270095 | − | 0.00793071i | ||||
\(905\) | −7.54685 | − | 4.85006i | −0.250866 | − | 0.161222i | ||||
\(906\) | −9.45531 | + | 20.7042i | −0.314132 | + | 0.687852i | ||||
\(907\) | 27.5389 | + | 8.08614i | 0.914413 | + | 0.268496i | 0.704897 | − | 0.709310i | \(-0.250993\pi\) |
0.209516 | + | 0.977805i | \(0.432811\pi\) | |||||||
\(908\) | −24.6557 | − | 28.4542i | −0.818230 | − | 0.944287i | ||||
\(909\) | 6.57315 | + | 7.58582i | 0.218018 | + | 0.251606i | ||||
\(910\) | 32.5987 | + | 9.57183i | 1.08064 | + | 0.317303i | ||||
\(911\) | −3.32984 | + | 7.29134i | −0.110323 | + | 0.241573i | −0.956738 | − | 0.290950i | \(-0.906029\pi\) |
0.846416 | + | 0.532523i | \(0.178756\pi\) | |||||||
\(912\) | −8.37352 | − | 5.38133i | −0.277275 | − | 0.178194i | ||||
\(913\) | −33.4306 | + | 9.81612i | −1.10639 | + | 0.324866i | ||||
\(914\) | 5.75705 | − | 40.0412i | 0.190426 | − | 1.32444i | ||||
\(915\) | 16.4951 | + | 36.1193i | 0.545312 | + | 1.19407i | ||||
\(916\) | −0.924357 | − | 6.42904i | −0.0305416 | − | 0.212421i | ||||
\(917\) | −7.42369 | + | 4.77091i | −0.245152 | + | 0.157549i | ||||
\(918\) | 2.33904 | − | 2.69940i | 0.0771999 | − | 0.0890934i | ||||
\(919\) | −47.1458 | −1.55520 | −0.777599 | − | 0.628760i | \(-0.783563\pi\) | ||||
−0.777599 | + | 0.628760i | \(0.783563\pi\) | |||||||
\(920\) | 0.466143 | − | 4.07594i | 0.0153683 | − | 0.134380i | ||||
\(921\) | −4.02636 | −0.132673 | ||||||||
\(922\) | −0.639724 | + | 0.738281i | −0.0210682 | + | 0.0243140i | ||||
\(923\) | −22.2473 | + | 14.2974i | −0.732278 | + | 0.470606i | ||||
\(924\) | −1.49119 | − | 10.3714i | −0.0490565 | − | 0.341195i | ||||
\(925\) | 27.6710 | + | 60.5911i | 0.909818 | + | 1.99222i | ||||
\(926\) | 11.1087 | − | 77.2626i | 0.365054 | − | 2.53901i | ||||
\(927\) | −14.2665 | + | 4.18902i | −0.468573 | + | 0.137586i | ||||
\(928\) | 58.4944 | + | 37.5921i | 1.92017 | + | 1.23402i | ||||
\(929\) | −21.9593 | + | 48.0841i | −0.720460 | + | 1.57759i | 0.0927984 | + | 0.995685i | \(0.470419\pi\) |
−0.813258 | + | 0.581903i | \(0.802308\pi\) | |||||||
\(930\) | −45.0621 | − | 13.2314i | −1.47764 | − | 0.433875i | ||||
\(931\) | −1.74106 | − | 2.00930i | −0.0570611 | − | 0.0658520i | ||||
\(932\) | 24.7409 | + | 28.5526i | 0.810416 | + | 0.935270i | ||||
\(933\) | −9.26356 | − | 2.72003i | −0.303275 | − | 0.0890496i | ||||
\(934\) | 3.17565 | − | 6.95371i | 0.103911 | − | 0.227532i | ||||
\(935\) | 25.5131 | + | 16.3963i | 0.834368 | + | 0.536216i | ||||
\(936\) | 1.12872 | − | 0.331422i | 0.0368934 | − | 0.0108329i | ||||
\(937\) | −5.19135 | + | 36.1067i | −0.169594 | + | 1.17955i | 0.710131 | + | 0.704070i | \(0.248636\pi\) |
−0.879725 | + | 0.475483i | \(0.842273\pi\) | |||||||
\(938\) | 9.12717 | + | 19.9857i | 0.298013 | + | 0.652556i | ||||
\(939\) | 3.55245 | + | 24.7078i | 0.115930 | + | 0.806310i | ||||
\(940\) | −56.7912 | + | 36.4975i | −1.85233 | + | 1.19042i | ||||
\(941\) | −13.1773 | + | 15.2074i | −0.429567 | + | 0.495747i | −0.928728 | − | 0.370763i | \(-0.879096\pi\) |
0.499160 | + | 0.866510i | \(0.333642\pi\) | |||||||
\(942\) | −18.8142 | −0.612999 | ||||||||
\(943\) | −2.34654 | − | 4.76816i | −0.0764138 | − | 0.155273i | ||||
\(944\) | 47.9654 | 1.56114 | ||||||||
\(945\) | −2.28456 | + | 2.63653i | −0.0743169 | + | 0.0857663i | ||||
\(946\) | 41.5444 | − | 26.6990i | 1.35073 | − | 0.868059i | ||||
\(947\) | −6.07864 | − | 42.2779i | −0.197529 | − | 1.37385i | −0.811424 | − | 0.584458i | \(-0.801307\pi\) |
0.613895 | − | 0.789388i | \(-0.289602\pi\) | |||||||
\(948\) | −10.1559 | − | 22.2384i | −0.329850 | − | 0.722270i | ||||
\(949\) | 4.88675 | − | 33.9881i | 0.158631 | − | 1.10330i | ||||
\(950\) | 37.1320 | − | 10.9029i | 1.20472 | − | 0.353738i | ||||
\(951\) | −24.9104 | − | 16.0089i | −0.807775 | − | 0.519125i | ||||
\(952\) | 0.179231 | − | 0.392460i | 0.00580890 | − | 0.0127197i | ||||
\(953\) | 1.72447 | + | 0.506350i | 0.0558610 | + | 0.0164023i | 0.309544 | − | 0.950885i | \(-0.399824\pi\) |
−0.253683 | + | 0.967287i | \(0.581642\pi\) | |||||||
\(954\) | 6.70864 | + | 7.74218i | 0.217200 | + | 0.250662i | ||||
\(955\) | −23.7969 | − | 27.4631i | −0.770049 | − | 0.888683i | ||||
\(956\) | 4.04158 | + | 1.18672i | 0.130714 | + | 0.0383811i | ||||
\(957\) | −17.6397 | + | 38.6255i | −0.570209 | + | 1.24858i | ||||
\(958\) | 23.1728 | + | 14.8922i | 0.748678 | + | 0.481146i | ||||
\(959\) | 6.06739 | − | 1.78155i | 0.195926 | − | 0.0575291i | ||||
\(960\) | −4.43628 | + | 30.8550i | −0.143180 | + | 0.995840i | ||||
\(961\) | 5.39184 | + | 11.8065i | 0.173930 | + | 0.380854i | ||||
\(962\) | 12.8750 | + | 89.5475i | 0.415106 | + | 2.88713i | ||||
\(963\) | −16.2045 | + | 10.4140i | −0.522181 | + | 0.335585i | ||||
\(964\) | 5.24412 | − | 6.05204i | 0.168902 | − | 0.194923i | ||||
\(965\) | −73.2482 | −2.35794 | ||||||||
\(966\) | 1.66365 | + | 9.59221i | 0.0535272 | + | 0.308624i | ||||
\(967\) | 35.8190 | 1.15186 | 0.575931 | − | 0.817498i | \(-0.304640\pi\) | ||||
0.575931 | + | 0.817498i | \(0.304640\pi\) | |||||||
\(968\) | 2.15332 | − | 2.48506i | 0.0692103 | − | 0.0798729i | ||||
\(969\) | 3.93542 | − | 2.52914i | 0.126424 | − | 0.0812477i | ||||
\(970\) | −0.486630 | − | 3.38459i | −0.0156247 | − | 0.108673i | ||||
\(971\) | −9.68000 | − | 21.1963i | −0.310646 | − | 0.680220i | 0.688333 | − | 0.725395i | \(-0.258343\pi\) |
−0.998979 | + | 0.0451748i | \(0.985616\pi\) | |||||||
\(972\) | −0.301820 | + | 2.09921i | −0.00968089 | + | 0.0673321i | ||||
\(973\) | −8.21310 | + | 2.41158i | −0.263300 | + | 0.0773119i | ||||
\(974\) | 18.5995 | + | 11.9532i | 0.595966 | + | 0.383004i | ||||
\(975\) | 14.2904 | − | 31.2917i | 0.457660 | − | 1.00214i | ||||
\(976\) | −40.8862 | − | 12.0053i | −1.30873 | − | 0.384279i | ||||
\(977\) | −29.8511 | − | 34.4500i | −0.955020 | − | 1.10215i | −0.994688 | − | 0.102939i | \(-0.967175\pi\) |
0.0396672 | − | 0.999213i | \(-0.487370\pi\) | |||||||
\(978\) | 16.4925 | + | 19.0334i | 0.527372 | + | 0.608620i | ||||
\(979\) | −29.1265 | − | 8.55231i | −0.930886 | − | 0.273333i | ||||
\(980\) | −3.07351 | + | 6.73005i | −0.0981797 | + | 0.214984i | ||||
\(981\) | −3.80236 | − | 2.44363i | −0.121400 | − | 0.0780190i | ||||
\(982\) | −77.3393 | + | 22.7089i | −2.46800 | + | 0.724669i | ||||
\(983\) | −3.44445 | + | 23.9566i | −0.109861 | + | 0.764098i | 0.858188 | + | 0.513336i | \(0.171590\pi\) |
−0.968049 | + | 0.250763i | \(0.919319\pi\) | |||||||
\(984\) | −0.112874 | − | 0.247160i | −0.00359829 | − | 0.00787916i | ||||
\(985\) | 7.56359 | + | 52.6059i | 0.240996 | + | 1.67616i | ||||
\(986\) | −25.8250 | + | 16.5967i | −0.822435 | + | 0.528547i | ||||
\(987\) | 5.97517 | − | 6.89572i | 0.190192 | − | 0.219493i | ||||
\(988\) | 27.0506 | 0.860595 | ||||||||
\(989\) | −19.4880 | + | 13.3362i | −0.619683 | + | 0.424065i | ||||
\(990\) | −34.9888 | −1.11202 | ||||||||
\(991\) | 10.0684 | − | 11.6196i | 0.319834 | − | 0.369108i | −0.572952 | − | 0.819589i | \(-0.694202\pi\) |
0.892786 | + | 0.450481i | \(0.148747\pi\) | |||||||
\(992\) | 45.1351 | − | 29.0066i | 1.43304 | − | 0.920960i | ||||
\(993\) | −2.46976 | − | 17.1775i | −0.0783753 | − | 0.545112i | ||||
\(994\) | −4.64846 | − | 10.1787i | −0.147440 | − | 0.322849i | ||||
\(995\) | −5.53266 | + | 38.4805i | −0.175397 | + | 1.21991i | ||||
\(996\) | 14.3502 | − | 4.21361i | 0.454705 | − | 0.133513i | ||||
\(997\) | 40.9602 | + | 26.3235i | 1.29722 | + | 0.833674i | 0.992906 | − | 0.118898i | \(-0.0379361\pi\) |
0.304315 | + | 0.952571i | \(0.401572\pi\) | |||||||
\(998\) | −8.49106 | + | 18.5928i | −0.268780 | + | 0.588546i | ||||
\(999\) | −8.91323 | − | 2.61716i | −0.282002 | − | 0.0828032i |
(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 | 483.2.q.f.85.7 | ✓ | 80 | |
23.13 | even | 11 | inner | 483.2.q.f.358.7 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.q.f.85.7 | ✓ | 80 | 1.1 | even | 1 | trivial | |
483.2.q.f.358.7 | yes | 80 | 23.13 | even | 11 | inner |