Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [44,2,Mod(7,44)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(44, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("44.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 44 = 2^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 44.g (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.351341768894\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 13 x^{14} - 25 x^{13} + 35 x^{12} - 30 x^{11} - 2 x^{10} + 60 x^{9} - 116 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Root | \(-1.36594 - 0.366325i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 44.7 |
Dual form | 44.2.g.a.19.4 |
$q$-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 \(\left(\mathbb{Z}/44\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36594 | − | 0.366325i | 0.965869 | − | 0.259031i | ||||
\(3\) | −1.70537 | − | 0.554109i | −0.984597 | − | 0.319915i | −0.227903 | − | 0.973684i | \(-0.573187\pi\) |
−0.756694 | + | 0.653769i | \(0.773187\pi\) | |||||||
\(4\) | 1.73161 | − | 1.00076i | 0.865806 | − | 0.500380i | ||||
\(5\) | −2.39991 | + | 1.74363i | −1.07327 | + | 0.779777i | −0.976497 | − | 0.215529i | \(-0.930852\pi\) |
−0.0967736 | + | 0.995306i | \(0.530852\pi\) | |||||||
\(6\) | −2.53243 | − | 0.132161i | −1.03386 | − | 0.0539546i | ||||
\(7\) | 0.815620 | + | 2.51022i | 0.308276 | + | 0.948775i | 0.978435 | + | 0.206557i | \(0.0662259\pi\) |
−0.670159 | + | 0.742218i | \(0.733774\pi\) | |||||||
\(8\) | 1.99868 | − | 2.00132i | 0.706641 | − | 0.707573i | ||||
\(9\) | 0.174207 | + | 0.126569i | 0.0580690 | + | 0.0421896i | ||||
\(10\) | −2.63940 | + | 3.26086i | −0.834653 | + | 1.03117i | ||||
\(11\) | −1.40980 | − | 3.00208i | −0.425069 | − | 0.905161i | ||||
\(12\) | −3.50757 | + | 0.747168i | −1.01255 | + | 0.215689i | ||||
\(13\) | 1.39991 | − | 1.92681i | 0.388264 | − | 0.534400i | −0.569486 | − | 0.822001i | \(-0.692858\pi\) |
0.957750 | + | 0.287601i | \(0.0928577\pi\) | |||||||
\(14\) | 2.03365 | + | 3.13004i | 0.543516 | + | 0.836539i | ||||
\(15\) | 5.05890 | − | 1.64374i | 1.30620 | − | 0.424411i | ||||
\(16\) | 1.99696 | − | 3.46586i | 0.499239 | − | 0.866464i | ||||
\(17\) | 0.468176 | + | 0.644389i | 0.113549 | + | 0.156287i | 0.862009 | − | 0.506893i | \(-0.169206\pi\) |
−0.748460 | + | 0.663180i | \(0.769206\pi\) | |||||||
\(18\) | 0.284323 | + | 0.109070i | 0.0670155 | + | 0.0257079i | ||||
\(19\) | −0.624029 | + | 1.92056i | −0.143162 | + | 0.440607i | −0.996770 | − | 0.0803085i | \(-0.974409\pi\) |
0.853608 | + | 0.520916i | \(0.174409\pi\) | |||||||
\(20\) | −2.41074 | + | 5.42103i | −0.539059 | + | 1.21218i | ||||
\(21\) | − | 4.73280i | − | 1.03278i | ||||||
\(22\) | −3.02544 | − | 3.58423i | −0.645026 | − | 0.764160i | ||||
\(23\) | 2.61934i | 0.546170i | 0.961990 | + | 0.273085i | \(0.0880440\pi\) | ||||
−0.961990 | + | 0.273085i | \(0.911956\pi\) | |||||||
\(24\) | −4.51744 | + | 2.30550i | −0.922119 | + | 0.470609i | ||||
\(25\) | 1.17421 | − | 3.61384i | 0.234841 | − | 0.722768i | ||||
\(26\) | 1.20636 | − | 3.14473i | 0.236586 | − | 0.616733i | ||||
\(27\) | 2.93498 | + | 4.03965i | 0.564837 | + | 0.777431i | ||||
\(28\) | 3.92447 | + | 3.53049i | 0.741655 | + | 0.667199i | ||||
\(29\) | −1.08052 | + | 0.351083i | −0.200648 | + | 0.0651944i | −0.407617 | − | 0.913153i | \(-0.633640\pi\) |
0.206969 | + | 0.978348i | \(0.433640\pi\) | |||||||
\(30\) | 6.30803 | − | 4.09846i | 1.15168 | − | 0.748272i | ||||
\(31\) | 3.51929 | − | 4.84389i | 0.632083 | − | 0.869988i | −0.366079 | − | 0.930584i | \(-0.619300\pi\) |
0.998162 | + | 0.0605960i | \(0.0193001\pi\) | |||||||
\(32\) | 1.45810 | − | 5.46571i | 0.257758 | − | 0.966210i | ||||
\(33\) | 0.740748 | + | 5.90084i | 0.128948 | + | 1.02720i | ||||
\(34\) | 0.875558 | + | 0.708695i | 0.150157 | + | 0.121540i | ||||
\(35\) | −6.33432 | − | 4.60215i | −1.07070 | − | 0.777906i | ||||
\(36\) | 0.428324 | + | 0.0448284i | 0.0713873 | + | 0.00747140i | ||||
\(37\) | 2.69856 | + | 8.30530i | 0.443640 | + | 1.36538i | 0.883969 | + | 0.467546i | \(0.154862\pi\) |
−0.440329 | + | 0.897837i | \(0.645138\pi\) | |||||||
\(38\) | −0.148838 | + | 2.85198i | −0.0241447 | + | 0.462652i | ||||
\(39\) | −3.45502 | + | 2.51022i | −0.553247 | + | 0.401957i | ||||
\(40\) | −1.30708 | + | 8.28795i | −0.206668 | + | 1.31044i | ||||
\(41\) | −9.28420 | − | 3.01662i | −1.44995 | − | 0.471117i | −0.524965 | − | 0.851124i | \(-0.675922\pi\) |
−0.924984 | + | 0.380007i | \(0.875922\pi\) | |||||||
\(42\) | −1.73375 | − | 6.46475i | −0.267523 | − | 0.997533i | ||||
\(43\) | −6.14178 | −0.936613 | −0.468306 | − | 0.883566i | \(-0.655136\pi\) | ||||
−0.468306 | + | 0.883566i | \(0.655136\pi\) | |||||||
\(44\) | −5.44558 | − | 3.78756i | −0.820952 | − | 0.570997i | ||||
\(45\) | −0.638770 | −0.0952222 | ||||||||
\(46\) | 0.959531 | + | 3.57787i | 0.141475 | + | 0.527529i | ||||
\(47\) | −3.31173 | − | 1.07605i | −0.483066 | − | 0.156958i | 0.0573525 | − | 0.998354i | \(-0.481734\pi\) |
−0.540419 | + | 0.841396i | \(0.681734\pi\) | |||||||
\(48\) | −5.32602 | + | 4.80405i | −0.768744 | + | 0.693404i | ||||
\(49\) | 0.0271441 | − | 0.0197214i | 0.00387774 | − | 0.00281734i | ||||
\(50\) | 0.280061 | − | 5.36645i | 0.0396067 | − | 0.758930i | ||||
\(51\) | −0.441352 | − | 1.35834i | −0.0618017 | − | 0.190206i | ||||
\(52\) | 0.495822 | − | 4.73745i | 0.0687581 | − | 0.656966i | ||||
\(53\) | 6.63597 | + | 4.82132i | 0.911521 | + | 0.662259i | 0.941399 | − | 0.337295i | \(-0.109512\pi\) |
−0.0298779 | + | 0.999554i | \(0.509512\pi\) | |||||||
\(54\) | 5.48885 | + | 4.44279i | 0.746938 | + | 0.604586i | ||||
\(55\) | 8.61791 | + | 4.74654i | 1.16204 | + | 0.640023i | ||||
\(56\) | 6.65392 | + | 3.38482i | 0.889167 | + | 0.452315i | ||||
\(57\) | 2.12840 | − | 2.92949i | 0.281914 | − | 0.388021i | ||||
\(58\) | −1.34732 | + | 0.875382i | −0.176912 | + | 0.114943i | ||||
\(59\) | −0.712586 | + | 0.231533i | −0.0927708 | + | 0.0301431i | −0.355035 | − | 0.934853i | \(-0.615531\pi\) |
0.262264 | + | 0.964996i | \(0.415531\pi\) | |||||||
\(60\) | 7.11506 | − | 7.90906i | 0.918550 | − | 1.02106i | ||||
\(61\) | −3.71822 | − | 5.11770i | −0.476070 | − | 0.655254i | 0.501674 | − | 0.865057i | \(-0.332718\pi\) |
−0.977744 | + | 0.209803i | \(0.932718\pi\) | |||||||
\(62\) | 3.03272 | − | 7.90569i | 0.385155 | − | 1.00402i | ||||
\(63\) | −0.175629 | + | 0.540530i | −0.0221272 | + | 0.0681004i | ||||
\(64\) | −0.0105444 | − | 7.99999i | −0.00131805 | − | 0.999999i | ||||
\(65\) | 7.06508i | 0.876316i | ||||||||
\(66\) | 3.17345 | + | 7.78887i | 0.390625 | + | 0.958744i | ||||
\(67\) | − | 5.40656i | − | 0.660517i | −0.943891 | − | 0.330258i | \(-0.892864\pi\) | ||
0.943891 | − | 0.330258i | \(-0.107136\pi\) | |||||||
\(68\) | 1.45558 | + | 0.647299i | 0.176515 | + | 0.0784965i | ||||
\(69\) | 1.45140 | − | 4.46695i | 0.174728 | − | 0.537757i | ||||
\(70\) | −10.3382 | − | 3.96587i | −1.23565 | − | 0.474012i | ||||
\(71\) | 2.56776 | + | 3.53422i | 0.304737 | + | 0.419434i | 0.933731 | − | 0.357976i | \(-0.116533\pi\) |
−0.628994 | + | 0.777410i | \(0.716533\pi\) | |||||||
\(72\) | 0.601489 | − | 0.0956728i | 0.0708861 | − | 0.0112752i | ||||
\(73\) | 0.845619 | − | 0.274758i | 0.0989722 | − | 0.0321580i | −0.259112 | − | 0.965847i | \(-0.583430\pi\) |
0.358084 | + | 0.933689i | \(0.383430\pi\) | |||||||
\(74\) | 6.72852 | + | 10.3560i | 0.782175 | + | 1.20386i | ||||
\(75\) | −4.00492 | + | 5.51230i | −0.462448 | + | 0.636506i | ||||
\(76\) | 0.841449 | + | 3.95017i | 0.0965208 | + | 0.453116i | ||||
\(77\) | 6.38602 | − | 5.98746i | 0.727755 | − | 0.682334i | ||||
\(78\) | −3.79981 | + | 4.69449i | −0.430244 | + | 0.531546i | ||||
\(79\) | 2.17960 | + | 1.58357i | 0.245224 | + | 0.178166i | 0.703608 | − | 0.710589i | \(-0.251571\pi\) |
−0.458383 | + | 0.888755i | \(0.651571\pi\) | |||||||
\(80\) | 1.25068 | + | 11.7997i | 0.139830 | + | 1.31925i | ||||
\(81\) | −2.96645 | − | 9.12979i | −0.329605 | − | 1.01442i | ||||
\(82\) | −13.7868 | − | 0.719497i | −1.52249 | − | 0.0794552i | ||||
\(83\) | 12.1904 | − | 8.85684i | 1.33807 | − | 0.972164i | 0.338557 | − | 0.940946i | \(-0.390061\pi\) |
0.999513 | − | 0.0312181i | \(-0.00993863\pi\) | |||||||
\(84\) | −4.73641 | − | 8.19538i | −0.516784 | − | 0.894189i | ||||
\(85\) | −2.24716 | − | 0.730145i | −0.243738 | − | 0.0791954i | ||||
\(86\) | −8.38933 | + | 2.24989i | −0.904645 | + | 0.242612i | ||||
\(87\) | 2.03723 | 0.218414 | ||||||||
\(88\) | −8.82585 | − | 3.17875i | −0.940838 | − | 0.338856i | ||||
\(89\) | 4.25121 | 0.450628 | 0.225314 | − | 0.974286i | \(-0.427659\pi\) | ||||
0.225314 | + | 0.974286i | \(0.427659\pi\) | |||||||
\(90\) | −0.872525 | + | 0.233998i | −0.0919722 | + | 0.0246655i | ||||
\(91\) | 5.97850 | + | 1.94253i | 0.626717 | + | 0.203633i | ||||
\(92\) | 2.62133 | + | 4.53568i | 0.273293 | + | 0.472877i | ||||
\(93\) | −8.68574 | + | 6.31056i | −0.900669 | + | 0.654375i | ||||
\(94\) | −4.91783 | − | 0.256649i | −0.507236 | − | 0.0264714i | ||||
\(95\) | −1.85115 | − | 5.69725i | −0.189924 | − | 0.584525i | ||||
\(96\) | −5.51520 | + | 8.51312i | −0.562893 | + | 0.868867i | ||||
\(97\) | −5.92705 | − | 4.30625i | −0.601801 | − | 0.437234i | 0.244717 | − | 0.969595i | \(-0.421305\pi\) |
−0.846518 | + | 0.532361i | \(0.821305\pi\) | |||||||
\(98\) | 0.0298530 | − | 0.0368819i | 0.00301561 | − | 0.00372564i | ||||
\(99\) | 0.134373 | − | 0.701419i | 0.0135050 | − | 0.0704953i | ||||
\(100\) | −1.58332 | − | 7.43286i | −0.158332 | − | 0.743286i | ||||
\(101\) | −3.15448 | + | 4.34177i | −0.313882 | + | 0.432022i | −0.936587 | − | 0.350435i | \(-0.886034\pi\) |
0.622705 | + | 0.782457i | \(0.286034\pi\) | |||||||
\(102\) | −1.10046 | − | 1.69374i | −0.108962 | − | 0.167706i | ||||
\(103\) | −10.2168 | + | 3.31964i | −1.00669 | + | 0.327094i | −0.765536 | − | 0.643392i | \(-0.777526\pi\) |
−0.241155 | + | 0.970487i | \(0.577526\pi\) | |||||||
\(104\) | −1.05818 | − | 6.65273i | −0.103763 | − | 0.652354i | ||||
\(105\) | 8.25228 | + | 11.3583i | 0.805340 | + | 1.10846i | ||||
\(106\) | 10.8305 | + | 4.15473i | 1.05196 | + | 0.403543i | ||||
\(107\) | −4.87622 | + | 15.0075i | −0.471402 | + | 1.45083i | 0.379347 | + | 0.925255i | \(0.376149\pi\) |
−0.850749 | + | 0.525572i | \(0.823851\pi\) | |||||||
\(108\) | 9.12497 | + | 4.05790i | 0.878051 | + | 0.390471i | ||||
\(109\) | − | 3.35140i | − | 0.321006i | −0.987035 | − | 0.160503i | \(-0.948688\pi\) | ||
0.987035 | − | 0.160503i | \(-0.0513116\pi\) | |||||||
\(110\) | 13.5104 | + | 3.32655i | 1.28816 | + | 0.317174i | ||||
\(111\) | − | 15.6589i | − | 1.48628i | ||||||
\(112\) | 10.3288 | + | 2.18598i | 0.975982 | + | 0.206555i | ||||
\(113\) | 0.739583 | − | 2.27620i | 0.0695741 | − | 0.214127i | −0.910224 | − | 0.414116i | \(-0.864091\pi\) |
0.979798 | + | 0.199989i | \(0.0640907\pi\) | |||||||
\(114\) | 1.83413 | − | 4.78122i | 0.171782 | − | 0.447802i | ||||
\(115\) | −4.56717 | − | 6.28617i | −0.425891 | − | 0.586188i | ||||
\(116\) | −1.51969 | + | 1.68928i | −0.141100 | + | 0.156846i | ||||
\(117\) | 0.487747 | − | 0.158479i | 0.0450922 | − | 0.0146514i | ||||
\(118\) | −0.888537 | + | 0.577300i | −0.0817964 | + | 0.0531448i | ||||
\(119\) | −1.23570 | + | 1.70080i | −0.113277 | + | 0.155912i | ||||
\(120\) | 6.82149 | − | 13.4098i | 0.622714 | − | 1.22414i | ||||
\(121\) | −7.02495 | + | 8.46464i | −0.638632 | + | 0.769512i | ||||
\(122\) | −6.95363 | − | 5.62841i | −0.629552 | − | 0.509572i | ||||
\(123\) | 14.1615 | + | 10.2889i | 1.27690 | + | 0.927721i | ||||
\(124\) | 1.24647 | − | 11.9097i | 0.111936 | − | 1.06952i | ||||
\(125\) | −1.10019 | − | 3.38604i | −0.0984040 | − | 0.302856i | ||||
\(126\) | −0.0418894 | + | 0.802672i | −0.00373181 | + | 0.0715077i | ||||
\(127\) | −12.8000 | + | 9.29974i | −1.13582 | + | 0.825218i | −0.986531 | − | 0.163576i | \(-0.947697\pi\) |
−0.149285 | + | 0.988794i | \(0.547697\pi\) | |||||||
\(128\) | −2.94500 | − | 10.9237i | −0.260304 | − | 0.965527i | ||||
\(129\) | 10.4740 | + | 3.40322i | 0.922186 | + | 0.299636i | ||||
\(130\) | 2.58812 | + | 9.65051i | 0.226993 | + | 0.846406i | ||||
\(131\) | 9.23509 | 0.806874 | 0.403437 | − | 0.915007i | \(-0.367815\pi\) | ||||
0.403437 | + | 0.915007i | \(0.367815\pi\) | |||||||
\(132\) | 7.18802 | + | 9.47665i | 0.625637 | + | 0.824837i | ||||
\(133\) | −5.33001 | −0.462170 | ||||||||
\(134\) | −1.98056 | − | 7.38507i | −0.171094 | − | 0.637972i | ||||
\(135\) | −14.0874 | − | 4.57726i | −1.21245 | − | 0.393948i | ||||
\(136\) | 2.22536 | + | 0.350959i | 0.190823 | + | 0.0300945i | ||||
\(137\) | 12.3113 | − | 8.94472i | 1.05183 | − | 0.764199i | 0.0792699 | − | 0.996853i | \(-0.474741\pi\) |
0.972559 | + | 0.232654i | \(0.0747411\pi\) | |||||||
\(138\) | 0.346175 | − | 6.63329i | 0.0294684 | − | 0.564663i | ||||
\(139\) | −1.71242 | − | 5.27029i | −0.145246 | − | 0.447020i | 0.851797 | − | 0.523872i | \(-0.175513\pi\) |
−0.997042 | + | 0.0768523i | \(0.975513\pi\) | |||||||
\(140\) | −15.5742 | − | 1.63000i | −1.31626 | − | 0.137760i | ||||
\(141\) | 5.05149 | + | 3.67012i | 0.425412 | + | 0.309080i | ||||
\(142\) | 4.80209 | + | 3.88691i | 0.402982 | + | 0.326182i | ||||
\(143\) | −7.75801 | − | 1.48623i | −0.648757 | − | 0.124284i | ||||
\(144\) | 0.786553 | − | 0.351024i | 0.0655461 | − | 0.0292520i | ||||
\(145\) | 1.98099 | − | 2.72660i | 0.164512 | − | 0.226432i | ||||
\(146\) | 1.05442 | − | 0.685076i | 0.0872642 | − | 0.0566973i | ||||
\(147\) | −0.0572187 | + | 0.0185915i | −0.00471932 | + | 0.00153340i | ||||
\(148\) | 12.9845 | + | 11.6809i | 1.06732 | + | 0.960168i | ||||
\(149\) | −1.25960 | − | 1.73369i | −0.103190 | − | 0.142029i | 0.754299 | − | 0.656531i | \(-0.227977\pi\) |
−0.857489 | + | 0.514502i | \(0.827977\pi\) | |||||||
\(150\) | −3.45120 | + | 8.99660i | −0.281790 | + | 0.734570i | ||||
\(151\) | 3.95454 | − | 12.1708i | 0.321816 | − | 0.990449i | −0.651041 | − | 0.759043i | \(-0.725667\pi\) |
0.972857 | − | 0.231406i | \(-0.0743326\pi\) | |||||||
\(152\) | 2.59642 | + | 5.08747i | 0.210598 | + | 0.412648i | ||||
\(153\) | 0.171513i | 0.0138660i | ||||||||
\(154\) | 6.52960 | − | 10.5179i | 0.526170 | − | 0.847556i | ||||
\(155\) | 17.7612i | 1.42662i | ||||||||
\(156\) | −3.47063 | + | 7.80438i | −0.277872 | + | 0.624850i | ||||
\(157\) | −6.46249 | + | 19.8895i | −0.515763 | + | 1.58735i | 0.266127 | + | 0.963938i | \(0.414256\pi\) |
−0.781890 | + | 0.623416i | \(0.785744\pi\) | |||||||
\(158\) | 3.55732 | + | 1.36463i | 0.283005 | + | 0.108564i | ||||
\(159\) | −8.64527 | − | 11.8992i | −0.685615 | − | 0.943668i | ||||
\(160\) | 6.03089 | + | 15.6596i | 0.476784 | + | 1.23800i | ||||
\(161\) | −6.57512 | + | 2.13639i | −0.518192 | + | 0.168371i | ||||
\(162\) | −7.39648 | − | 11.3841i | −0.581122 | − | 0.894420i | ||||
\(163\) | 3.21572 | − | 4.42605i | 0.251874 | − | 0.346675i | −0.664292 | − | 0.747473i | \(-0.731267\pi\) |
0.916167 | + | 0.400798i | \(0.131267\pi\) | |||||||
\(164\) | −19.0955 | + | 4.06765i | −1.49111 | + | 0.317630i | ||||
\(165\) | −12.0666 | − | 12.8699i | −0.939387 | − | 1.00192i | ||||
\(166\) | 13.4069 | − | 16.5636i | 1.04058 | − | 1.28558i | ||||
\(167\) | 1.08786 | + | 0.790373i | 0.0841808 | + | 0.0611609i | 0.629080 | − | 0.777341i | \(-0.283432\pi\) |
−0.544899 | + | 0.838502i | \(0.683432\pi\) | |||||||
\(168\) | −9.47185 | − | 9.45937i | −0.730769 | − | 0.729806i | ||||
\(169\) | 2.26438 | + | 6.96904i | 0.174183 | + | 0.536080i | ||||
\(170\) | −3.33696 | − | 0.174148i | −0.255933 | − | 0.0133565i | ||||
\(171\) | −0.351793 | + | 0.255593i | −0.0269023 | + | 0.0195457i | ||||
\(172\) | −10.6352 | + | 6.14645i | −0.810924 | + | 0.468663i | ||||
\(173\) | 7.53425 | + | 2.44803i | 0.572818 | + | 0.186120i | 0.581081 | − | 0.813846i | \(-0.302630\pi\) |
−0.00826233 | + | 0.999966i | \(0.502630\pi\) | |||||||
\(174\) | 2.78274 | − | 0.746289i | 0.210959 | − | 0.0565760i | ||||
\(175\) | 10.0292 | 0.758139 | ||||||||
\(176\) | −13.2201 | − | 1.10886i | −0.996501 | − | 0.0835838i | ||||
\(177\) | 1.34352 | 0.100985 | ||||||||
\(178\) | 5.80692 | − | 1.55733i | 0.435247 | − | 0.116727i | ||||
\(179\) | 24.4734 | + | 7.95188i | 1.82922 | + | 0.594351i | 0.999337 | + | 0.0364218i | \(0.0115960\pi\) |
0.829888 | + | 0.557929i | \(0.188404\pi\) | |||||||
\(180\) | −1.10610 | + | 0.639256i | −0.0824440 | + | 0.0476474i | ||||
\(181\) | 10.8423 | − | 7.87736i | 0.805899 | − | 0.585520i | −0.106740 | − | 0.994287i | \(-0.534041\pi\) |
0.912639 | + | 0.408767i | \(0.134041\pi\) | |||||||
\(182\) | 8.87791 | + | 0.463316i | 0.658074 | + | 0.0343432i | ||||
\(183\) | 3.50519 | + | 10.7879i | 0.259111 | + | 0.797463i | ||||
\(184\) | 5.24213 | + | 5.23523i | 0.386455 | + | 0.385946i | ||||
\(185\) | −20.9577 | − | 15.2267i | −1.54084 | − | 1.11949i | ||||
\(186\) | −9.55252 | + | 11.8017i | −0.700425 | + | 0.865342i | ||||
\(187\) | 1.27447 | − | 2.31396i | 0.0931987 | − | 0.169213i | ||||
\(188\) | −6.81150 | + | 1.45096i | −0.496780 | + | 0.105822i | ||||
\(189\) | −7.74659 | + | 10.6623i | −0.563482 | + | 0.775566i | ||||
\(190\) | −4.61561 | − | 7.10401i | −0.334852 | − | 0.515379i | ||||
\(191\) | −3.99452 | + | 1.29790i | −0.289033 | + | 0.0939126i | −0.449945 | − | 0.893056i | \(-0.648556\pi\) |
0.160912 | + | 0.986969i | \(0.448556\pi\) | |||||||
\(192\) | −4.41489 | + | 13.6488i | −0.318617 | + | 0.985018i | ||||
\(193\) | −10.5575 | − | 14.5311i | −0.759945 | − | 1.04597i | −0.997219 | − | 0.0745318i | \(-0.976254\pi\) |
0.237274 | − | 0.971443i | \(-0.423746\pi\) | |||||||
\(194\) | −9.67352 | − | 3.71088i | −0.694518 | − | 0.266425i | ||||
\(195\) | 3.91483 | − | 12.0486i | 0.280346 | − | 0.862818i | ||||
\(196\) | 0.0272667 | − | 0.0613146i | 0.00194762 | − | 0.00437961i | ||||
\(197\) | − | 7.36632i | − | 0.524828i | −0.964955 | − | 0.262414i | \(-0.915481\pi\) | ||
0.964955 | − | 0.262414i | \(-0.0845187\pi\) | |||||||
\(198\) | −0.0734014 | − | 1.00732i | −0.00521641 | − | 0.0715874i | ||||
\(199\) | 21.3637i | 1.51443i | 0.653163 | + | 0.757217i | \(0.273441\pi\) | ||||
−0.653163 | + | 0.757217i | \(0.726559\pi\) | |||||||
\(200\) | −4.88557 | − | 9.57287i | −0.345462 | − | 0.676904i | ||||
\(201\) | −2.99582 | + | 9.22020i | −0.211309 | + | 0.650343i | ||||
\(202\) | −2.71834 | + | 7.08618i | −0.191262 | + | 0.498582i | ||||
\(203\) | −1.76259 | − | 2.42600i | −0.123710 | − | 0.170272i | ||||
\(204\) | −2.12363 | − | 1.91043i | −0.148684 | − | 0.133757i | ||||
\(205\) | 27.5411 | − | 8.94865i | 1.92355 | − | 0.625001i | ||||
\(206\) | −12.7395 | + | 8.27712i | −0.887605 | + | 0.576695i | ||||
\(207\) | −0.331527 | + | 0.456307i | −0.0230427 | + | 0.0317155i | ||||
\(208\) | −3.88249 | − | 8.69962i | −0.269202 | − | 0.603210i | ||||
\(209\) | 6.64543 | − | 0.834218i | 0.459674 | − | 0.0577041i | ||||
\(210\) | 15.4330 | + | 12.4918i | 1.06498 | + | 0.862015i | ||||
\(211\) | −18.9202 | − | 13.7464i | −1.30252 | − | 0.946339i | −0.302547 | − | 0.953135i | \(-0.597837\pi\) |
−0.999977 | + | 0.00679583i | \(0.997837\pi\) | |||||||
\(212\) | 16.3159 | + | 1.70762i | 1.12058 | + | 0.117280i | ||||
\(213\) | −2.42064 | − | 7.44997i | −0.165860 | − | 0.510464i | ||||
\(214\) | −1.16303 | + | 22.2857i | −0.0795033 | + | 1.52342i | ||||
\(215\) | 14.7397 | − | 10.7090i | 1.00524 | − | 0.730349i | ||||
\(216\) | 13.9507 | + | 2.20015i | 0.949226 | + | 0.149701i | ||||
\(217\) | 15.0296 | + | 4.88342i | 1.02028 | + | 0.331508i | ||||
\(218\) | −1.22770 | − | 4.57783i | −0.0831505 | − | 0.310050i | ||||
\(219\) | −1.59434 | −0.107736 | ||||||||
\(220\) | 19.6730 | − | 0.405301i | 1.32635 | − | 0.0273254i | ||||
\(221\) | 1.89701 | 0.127607 | ||||||||
\(222\) | −5.73626 | − | 21.3892i | −0.384993 | − | 1.43555i | ||||
\(223\) | 2.45491 | + | 0.797649i | 0.164393 | + | 0.0534145i | 0.390057 | − | 0.920791i | \(-0.372455\pi\) |
−0.225664 | + | 0.974205i | \(0.572455\pi\) | |||||||
\(224\) | 14.9094 | − | 0.797790i | 0.996175 | − | 0.0533046i | ||||
\(225\) | 0.661954 | − | 0.480938i | 0.0441303 | − | 0.0320625i | ||||
\(226\) | 0.176399 | − | 3.38010i | 0.0117339 | − | 0.224841i | ||||
\(227\) | 0.657854 | + | 2.02467i | 0.0436633 | + | 0.134382i | 0.970512 | − | 0.241054i | \(-0.0774931\pi\) |
−0.926848 | + | 0.375436i | \(0.877493\pi\) | |||||||
\(228\) | 0.753842 | − | 7.20277i | 0.0499244 | − | 0.477015i | ||||
\(229\) | 10.2596 | + | 7.45404i | 0.677973 | + | 0.492577i | 0.872685 | − | 0.488284i | \(-0.162377\pi\) |
−0.194711 | + | 0.980861i | \(0.562377\pi\) | |||||||
\(230\) | −8.54129 | − | 6.91349i | −0.563196 | − | 0.455862i | ||||
\(231\) | −14.2083 | + | 6.67229i | −0.934834 | + | 0.439004i | ||||
\(232\) | −1.45699 | + | 2.86417i | −0.0956561 | + | 0.188042i | ||||
\(233\) | 2.28106 | − | 3.13960i | 0.149437 | − | 0.205682i | −0.727735 | − | 0.685858i | \(-0.759427\pi\) |
0.877172 | + | 0.480176i | \(0.159427\pi\) | |||||||
\(234\) | 0.608181 | − | 0.395147i | 0.0397580 | − | 0.0258316i | ||||
\(235\) | 9.82409 | − | 3.19204i | 0.640853 | − | 0.208226i | ||||
\(236\) | −1.00221 | + | 1.11405i | −0.0652385 | + | 0.0725187i | ||||
\(237\) | −2.83956 | − | 3.90832i | −0.184449 | − | 0.253872i | ||||
\(238\) | −1.06486 | + | 2.77587i | −0.0690244 | + | 0.179933i | ||||
\(239\) | 4.52099 | − | 13.9142i | 0.292439 | − | 0.900034i | −0.691631 | − | 0.722251i | \(-0.743108\pi\) |
0.984070 | − | 0.177783i | \(-0.0568924\pi\) | |||||||
\(240\) | 4.40544 | − | 20.8159i | 0.284370 | − | 1.34366i | ||||
\(241\) | 18.4328i | 1.18736i | 0.804701 | + | 0.593681i | \(0.202326\pi\) | ||||
−0.804701 | + | 0.593681i | \(0.797674\pi\) | |||||||
\(242\) | −6.49488 | + | 14.1356i | −0.417507 | + | 0.908674i | ||||
\(243\) | 2.23357i | 0.143283i | ||||||||
\(244\) | −11.5601 | − | 5.14081i | −0.740060 | − | 0.329106i | ||||
\(245\) | −0.0307566 | + | 0.0946589i | −0.00196496 | + | 0.00604754i | ||||
\(246\) | 23.1129 | + | 8.86639i | 1.47362 | + | 0.565300i | ||||
\(247\) | 2.82697 | + | 3.89099i | 0.179876 | + | 0.247578i | ||||
\(248\) | −2.66022 | − | 16.7246i | −0.168924 | − | 1.06201i | ||||
\(249\) | −25.6968 | + | 8.34940i | −1.62847 | + | 0.529122i | ||||
\(250\) | −2.74319 | − | 4.22211i | −0.173495 | − | 0.267030i | ||||
\(251\) | −6.01043 | + | 8.27265i | −0.379375 | + | 0.522165i | −0.955419 | − | 0.295254i | \(-0.904596\pi\) |
0.576044 | + | 0.817419i | \(0.304596\pi\) | |||||||
\(252\) | 0.236820 | + | 1.11175i | 0.0149183 | + | 0.0700337i | ||||
\(253\) | 7.86346 | − | 3.69273i | 0.494372 | − | 0.232160i | ||||
\(254\) | −14.0774 | + | 17.3919i | −0.883292 | + | 1.09126i | ||||
\(255\) | 3.42766 | + | 2.49034i | 0.214648 | + | 0.155951i | ||||
\(256\) | −8.02434 | − | 13.8423i | −0.501521 | − | 0.865145i | ||||
\(257\) | −0.336161 | − | 1.03460i | −0.0209692 | − | 0.0645364i | 0.940024 | − | 0.341107i | \(-0.110802\pi\) |
−0.960994 | + | 0.276571i | \(0.910802\pi\) | |||||||
\(258\) | 15.5536 | + | 0.811705i | 0.968326 | + | 0.0505345i | ||||
\(259\) | −18.6471 | + | 13.5479i | −1.15868 | + | 0.841828i | ||||
\(260\) | 7.07046 | + | 12.2340i | 0.438491 | + | 0.758719i | ||||
\(261\) | −0.232671 | − | 0.0755993i | −0.0144019 | − | 0.00467948i | ||||
\(262\) | 12.6146 | − | 3.38305i | 0.779334 | − | 0.209005i | ||||
\(263\) | −24.7837 | −1.52823 | −0.764114 | − | 0.645081i | \(-0.776824\pi\) | ||||
−0.764114 | + | 0.645081i | \(0.776824\pi\) | |||||||
\(264\) | 13.2900 | + | 10.3114i | 0.817942 | + | 0.634625i | ||||
\(265\) | −24.3323 | −1.49472 | ||||||||
\(266\) | −7.28050 | + | 1.95252i | −0.446396 | + | 0.119717i | ||||
\(267\) | −7.24990 | − | 2.35564i | −0.443687 | − | 0.144163i | ||||
\(268\) | −5.41068 | − | 9.36206i | −0.330510 | − | 0.571879i | ||||
\(269\) | −13.6719 | + | 9.93319i | −0.833588 | + | 0.605637i | −0.920572 | − | 0.390573i | \(-0.872277\pi\) |
0.0869843 | + | 0.996210i | \(0.472277\pi\) | |||||||
\(270\) | −20.9193 | − | 1.09173i | −1.27311 | − | 0.0664404i | ||||
\(271\) | 4.02030 | + | 12.3732i | 0.244216 | + | 0.751618i | 0.995764 | + | 0.0919409i | \(0.0293071\pi\) |
−0.751549 | + | 0.659677i | \(0.770693\pi\) | |||||||
\(272\) | 3.16828 | − | 0.335815i | 0.192105 | − | 0.0203618i | ||||
\(273\) | −9.11920 | − | 6.62549i | −0.551919 | − | 0.400993i | ||||
\(274\) | 13.5399 | − | 16.7280i | 0.817978 | − | 1.01057i | ||||
\(275\) | −12.5044 | + | 1.56971i | −0.754045 | + | 0.0946572i | ||||
\(276\) | −1.95709 | − | 9.18752i | −0.117803 | − | 0.553024i | ||||
\(277\) | −15.6103 | + | 21.4858i | −0.937935 | + | 1.29096i | 0.0187483 | + | 0.999824i | \(0.494032\pi\) |
−0.956683 | + | 0.291132i | \(0.905968\pi\) | |||||||
\(278\) | −4.26971 | − | 6.57162i | −0.256080 | − | 0.394139i | ||||
\(279\) | 1.22617 | − | 0.398407i | 0.0734089 | − | 0.0238520i | ||||
\(280\) | −21.8707 | + | 3.47875i | −1.30702 | + | 0.207895i | ||||
\(281\) | 18.9860 | + | 26.1320i | 1.13261 | + | 1.55890i | 0.783015 | + | 0.622002i | \(0.213681\pi\) |
0.349594 | + | 0.936901i | \(0.386319\pi\) | |||||||
\(282\) | 8.24452 | + | 3.16270i | 0.490954 | + | 0.188336i | ||||
\(283\) | 7.78230 | − | 23.9515i | 0.462610 | − | 1.42377i | −0.399354 | − | 0.916797i | \(-0.630766\pi\) |
0.861964 | − | 0.506969i | \(-0.169234\pi\) | |||||||
\(284\) | 7.98327 | + | 3.55018i | 0.473720 | + | 0.210664i | ||||
\(285\) | 10.7417i | 0.636282i | ||||||||
\(286\) | −11.1415 | + | 0.811852i | −0.658808 | + | 0.0480058i | ||||
\(287\) | − | 25.7658i | − | 1.52091i | ||||||
\(288\) | 0.945799 | − | 0.767614i | 0.0557317 | − | 0.0452321i | ||||
\(289\) | 5.05724 | − | 15.5646i | 0.297485 | − | 0.915564i | ||||
\(290\) | 1.70710 | − | 4.45007i | 0.100244 | − | 0.261317i | ||||
\(291\) | 7.72169 | + | 10.6280i | 0.452654 | + | 0.623024i | ||||
\(292\) | 1.18932 | − | 1.32204i | 0.0695994 | − | 0.0773663i | ||||
\(293\) | 1.23780 | − | 0.402184i | 0.0723128 | − | 0.0234959i | −0.272637 | − | 0.962117i | \(-0.587896\pi\) |
0.344950 | + | 0.938621i | \(0.387896\pi\) | |||||||
\(294\) | −0.0713470 | + | 0.0463556i | −0.00416104 | + | 0.00270351i | ||||
\(295\) | 1.30643 | − | 1.79815i | 0.0760633 | − | 0.104692i | ||||
\(296\) | 22.0151 | + | 11.1990i | 1.27960 | + | 0.650928i | ||||
\(297\) | 7.98963 | − | 14.5061i | 0.463605 | − | 0.841731i | ||||
\(298\) | −2.35564 | − | 1.90670i | −0.136458 | − | 0.110452i | ||||
\(299\) | 5.04696 | + | 3.66683i | 0.291873 | + | 0.212058i | ||||
\(300\) | −1.41847 | + | 13.5531i | −0.0818955 | + | 0.782490i | ||||
\(301\) | −5.00936 | − | 15.4172i | −0.288735 | − | 0.888634i | ||||
\(302\) | 0.943203 | − | 18.0733i | 0.0542752 | − | 1.04000i | ||||
\(303\) | 7.78537 | − | 5.65640i | 0.447258 | − | 0.324952i | ||||
\(304\) | 5.41024 | + | 5.99807i | 0.310298 | + | 0.344013i | ||||
\(305\) | 17.8468 | + | 5.79877i | 1.02190 | + | 0.332037i | ||||
\(306\) | 0.0628297 | + | 0.234278i | 0.00359174 | + | 0.0133928i | ||||
\(307\) | −4.19311 | −0.239313 | −0.119657 | − | 0.992815i | \(-0.538179\pi\) | ||||
−0.119657 | + | 0.992815i | \(0.538179\pi\) | |||||||
\(308\) | 5.06610 | − | 16.7588i | 0.288668 | − | 0.954923i | ||||
\(309\) | 19.2629 | 1.09583 | ||||||||
\(310\) | 6.50639 | + | 24.2609i | 0.369538 | + | 1.37792i | ||||
\(311\) | 14.8356 | + | 4.82039i | 0.841252 | + | 0.273339i | 0.697777 | − | 0.716315i | \(-0.254173\pi\) |
0.143474 | + | 0.989654i | \(0.454173\pi\) | |||||||
\(312\) | −1.88174 | + | 11.9317i | −0.106533 | + | 0.675501i | ||||
\(313\) | 21.8548 | − | 15.8784i | 1.23531 | − | 0.897503i | 0.238030 | − | 0.971258i | \(-0.423498\pi\) |
0.997276 | + | 0.0737552i | \(0.0234983\pi\) | |||||||
\(314\) | −1.54137 | + | 29.5353i | −0.0869848 | + | 1.66677i | ||||
\(315\) | −0.520994 | − | 1.60345i | −0.0293547 | − | 0.0903444i | ||||
\(316\) | 5.35900 | + | 0.560873i | 0.301467 | + | 0.0315516i | ||||
\(317\) | 1.52130 | + | 1.10529i | 0.0854447 | + | 0.0620792i | 0.629687 | − | 0.776849i | \(-0.283183\pi\) |
−0.544243 | + | 0.838928i | \(0.683183\pi\) | |||||||
\(318\) | −16.1679 | − | 13.0867i | −0.906653 | − | 0.733864i | ||||
\(319\) | 2.57729 | + | 2.74886i | 0.144301 | + | 0.153906i | ||||
\(320\) | 13.9744 | + | 19.1809i | 0.781191 | + | 1.07224i | ||||
\(321\) | 16.6315 | − | 22.8914i | 0.928283 | − | 1.27767i | ||||
\(322\) | −8.19864 | + | 5.32682i | −0.456892 | + | 0.296852i | ||||
\(323\) | −1.52974 | + | 0.497044i | −0.0851172 | + | 0.0276563i | ||||
\(324\) | −14.2735 | − | 12.8405i | −0.792971 | − | 0.713363i | ||||
\(325\) | −5.31939 | − | 7.32151i | −0.295066 | − | 0.406124i | ||||
\(326\) | 2.77111 | − | 7.22374i | 0.153478 | − | 0.400086i | ||||
\(327\) | −1.85704 | + | 5.71538i | −0.102695 | + | 0.316061i | ||||
\(328\) | −24.5934 | + | 12.5514i | −1.35794 | + | 0.693034i | ||||
\(329\) | − | 9.19083i | − | 0.506707i | ||||||
\(330\) | −21.1969 | − | 13.1592i | −1.16685 | − | 0.724392i | ||||
\(331\) | 2.35264i | 0.129313i | 0.997908 | + | 0.0646563i | \(0.0205951\pi\) | ||||
−0.997908 | + | 0.0646563i | \(0.979405\pi\) | |||||||
\(332\) | 12.2454 | − | 27.5363i | 0.672056 | − | 1.51125i | ||||
\(333\) | −0.581085 | + | 1.78839i | −0.0318432 | + | 0.0980034i | ||||
\(334\) | 1.77548 | + | 0.681097i | 0.0971502 | + | 0.0372680i | ||||
\(335\) | 9.42707 | + | 12.9752i | 0.515056 | + | 0.708913i | ||||
\(336\) | −16.4032 | − | 9.45120i | −0.894869 | − | 0.515605i | ||||
\(337\) | −20.5738 | + | 6.68485i | −1.12073 | + | 0.364147i | −0.810046 | − | 0.586367i | \(-0.800558\pi\) |
−0.310683 | + | 0.950514i | \(0.600558\pi\) | |||||||
\(338\) | 5.64595 | + | 8.68982i | 0.307099 | + | 0.472664i | ||||
\(339\) | −2.52253 | + | 3.47196i | −0.137005 | + | 0.188571i | ||||
\(340\) | −4.62190 | + | 0.984538i | −0.250658 | + | 0.0533941i | ||||
\(341\) | −19.5032 | − | 3.73629i | −1.05616 | − | 0.202332i | ||||
\(342\) | −0.386900 | + | 0.477997i | −0.0209212 | + | 0.0258471i | ||||
\(343\) | 15.0189 | + | 10.9119i | 0.810944 | + | 0.589185i | ||||
\(344\) | −12.2755 | + | 12.2917i | −0.661848 | + | 0.662721i | ||||
\(345\) | 4.30550 | + | 13.2510i | 0.231800 | + | 0.713408i | ||||
\(346\) | 11.1881 | + | 0.583881i | 0.601478 | + | 0.0313897i | ||||
\(347\) | −0.429950 | + | 0.312377i | −0.0230809 | + | 0.0167693i | −0.599266 | − | 0.800550i | \(-0.704541\pi\) |
0.576185 | + | 0.817319i | \(0.304541\pi\) | |||||||
\(348\) | 3.52769 | − | 2.03878i | 0.189104 | − | 0.109290i | ||||
\(349\) | −34.0852 | − | 11.0749i | −1.82454 | − | 0.592828i | −0.999620 | − | 0.0275762i | \(-0.991221\pi\) |
−0.824918 | − | 0.565252i | \(-0.808779\pi\) | |||||||
\(350\) | 13.6994 | − | 3.67397i | 0.732263 | − | 0.196382i | ||||
\(351\) | 11.8923 | 0.634765 | ||||||||
\(352\) | −18.4641 | + | 3.32820i | −0.984140 | + | 0.177394i | ||||
\(353\) | −0.964432 | −0.0513316 | −0.0256658 | − | 0.999671i | \(-0.508171\pi\) | ||||
−0.0256658 | + | 0.999671i | \(0.508171\pi\) | |||||||
\(354\) | 1.83517 | − | 0.492165i | 0.0975383 | − | 0.0261583i | ||||
\(355\) | −12.3248 | − | 4.00456i | −0.654130 | − | 0.212540i | ||||
\(356\) | 7.36145 | − | 4.25445i | 0.390156 | − | 0.225485i | ||||
\(357\) | 3.04977 | − | 2.21578i | 0.161411 | − | 0.117272i | ||||
\(358\) | 36.3422 | + | 1.89661i | 1.92075 | + | 0.100239i | ||||
\(359\) | −4.84827 | − | 14.9214i | −0.255882 | − | 0.787523i | −0.993655 | − | 0.112474i | \(-0.964122\pi\) |
0.737773 | − | 0.675049i | \(-0.235878\pi\) | |||||||
\(360\) | −1.27670 | + | 1.27838i | −0.0672879 | + | 0.0673767i | ||||
\(361\) | 12.0722 | + | 8.77095i | 0.635378 | + | 0.461629i | ||||
\(362\) | 11.9243 | − | 14.7318i | 0.626725 | − | 0.774288i | ||||
\(363\) | 16.6705 | − | 10.5428i | 0.874974 | − | 0.553352i | ||||
\(364\) | 12.2965 | − | 2.61934i | 0.644509 | − | 0.137291i | ||||
\(365\) | −1.55033 | + | 2.13384i | −0.0811479 | + | 0.111690i | ||||
\(366\) | 8.73978 | + | 13.4516i | 0.456836 | + | 0.703127i | ||||
\(367\) | 28.1773 | − | 9.15535i | 1.47084 | − | 0.477906i | 0.539479 | − | 0.841999i | \(-0.318621\pi\) |
0.931363 | + | 0.364093i | \(0.118621\pi\) | |||||||
\(368\) | 9.07826 | + | 5.23070i | 0.473237 | + | 0.272669i | ||||
\(369\) | −1.23556 | − | 1.70061i | −0.0643208 | − | 0.0885300i | ||||
\(370\) | −34.2050 | − | 13.1214i | −1.77823 | − | 0.682151i | ||||
\(371\) | −6.69014 | + | 20.5901i | −0.347335 | + | 1.06899i | ||||
\(372\) | −8.72496 | + | 19.6198i | −0.452368 | + | 1.01724i | ||||
\(373\) | − | 13.2211i | − | 0.684562i | −0.939598 | − | 0.342281i | \(-0.888801\pi\) | ||
0.939598 | − | 0.342281i | \(-0.111199\pi\) | |||||||
\(374\) | 0.893198 | − | 3.62761i | 0.0461862 | − | 0.187579i | ||||
\(375\) | 6.38408i | 0.329672i | ||||||||
\(376\) | −8.77262 | + | 4.47716i | −0.452413 | + | 0.230892i | ||||
\(377\) | −0.836161 | + | 2.57344i | −0.0430645 | + | 0.132539i | ||||
\(378\) | −6.67556 | + | 17.4018i | −0.343354 | + | 0.895055i | ||||
\(379\) | −19.1582 | − | 26.3691i | −0.984093 | − | 1.35449i | −0.934595 | − | 0.355713i | \(-0.884238\pi\) |
−0.0494977 | − | 0.998774i | \(-0.515762\pi\) | |||||||
\(380\) | −8.90705 | − | 8.01286i | −0.456922 | − | 0.411051i | ||||
\(381\) | 26.9818 | − | 8.76693i | 1.38232 | − | 0.449143i | ||||
\(382\) | −4.98084 | + | 3.23615i | −0.254842 | + | 0.165576i | ||||
\(383\) | −14.1107 | + | 19.4217i | −0.721024 | + | 0.992405i | 0.278465 | + | 0.960446i | \(0.410174\pi\) |
−0.999489 | + | 0.0319586i | \(0.989826\pi\) | |||||||
\(384\) | −1.03059 | + | 20.2608i | −0.0525918 | + | 1.03393i | ||||
\(385\) | −4.88593 | + | 25.5042i | −0.249010 | + | 1.29982i | ||||
\(386\) | −19.7441 | − | 15.9813i | −1.00495 | − | 0.813425i | ||||
\(387\) | −1.06994 | − | 0.777358i | −0.0543882 | − | 0.0395153i | ||||
\(388\) | −14.5729 | − | 1.52520i | −0.739826 | − | 0.0774302i | ||||
\(389\) | 0.439422 | + | 1.35240i | 0.0222796 | + | 0.0685695i | 0.961578 | − | 0.274531i | \(-0.0885227\pi\) |
−0.939299 | + | 0.343101i | \(0.888523\pi\) | |||||||
\(390\) | 0.933729 | − | 17.8918i | 0.0472812 | − | 0.905987i | ||||
\(391\) | −1.68787 | + | 1.22631i | −0.0853594 | + | 0.0620172i | ||||
\(392\) | 0.0147838 | − | 0.0937408i | 0.000746693 | − | 0.00473463i | ||||
\(393\) | −15.7493 | − | 5.11725i | −0.794446 | − | 0.258131i | ||||
\(394\) | −2.69847 | − | 10.0620i | −0.135947 | − | 0.506916i | ||||
\(395\) | −7.99201 | −0.402122 | ||||||||
\(396\) | −0.469271 | − | 1.34906i | −0.0235818 | − | 0.0677929i | ||||
\(397\) | −8.85845 | −0.444593 | −0.222296 | − | 0.974979i | \(-0.571355\pi\) | ||||
−0.222296 | + | 0.974979i | \(0.571355\pi\) | |||||||
\(398\) | 7.82607 | + | 29.1817i | 0.392286 | + | 1.46274i | ||||
\(399\) | 9.08965 | + | 2.95341i | 0.455052 | + | 0.147855i | ||||
\(400\) | −10.1802 | − | 11.2863i | −0.509010 | − | 0.564315i | ||||
\(401\) | −21.9019 | + | 15.9127i | −1.09373 | + | 0.794641i | −0.980025 | − | 0.198873i | \(-0.936272\pi\) |
−0.113705 | + | 0.993515i | \(0.536272\pi\) | |||||||
\(402\) | −0.714537 | + | 13.6917i | −0.0356379 | + | 0.682882i | ||||
\(403\) | −4.40655 | − | 13.5620i | −0.219506 | − | 0.675570i | ||||
\(404\) | −1.11726 | + | 10.6751i | −0.0555858 | + | 0.531108i | ||||
\(405\) | 23.0382 | + | 16.7382i | 1.14478 | + | 0.831730i | ||||
\(406\) | −3.29631 | − | 2.66810i | −0.163593 | − | 0.132415i | ||||
\(407\) | 21.1288 | − | 19.8101i | 1.04731 | − | 0.981948i | ||||
\(408\) | −3.60060 | − | 1.83161i | −0.178256 | − | 0.0906781i | ||||
\(409\) | 16.9101 | − | 23.2747i | 0.836149 | − | 1.15086i | −0.150599 | − | 0.988595i | \(-0.548120\pi\) |
0.986747 | − | 0.162265i | \(-0.0518799\pi\) | |||||||
\(410\) | 34.3415 | − | 22.3124i | 1.69601 | − | 1.10193i | ||||
\(411\) | −25.9518 | + | 8.43224i | −1.28011 | + | 0.415932i | ||||
\(412\) | −14.3694 | + | 15.9729i | −0.707928 | + | 0.786929i | ||||
\(413\) | −1.16240 | − | 1.59991i | −0.0571979 | − | 0.0787262i | ||||
\(414\) | −0.285690 | + | 0.744737i | −0.0140409 | + | 0.0366018i | ||||
\(415\) | −13.8127 | + | 42.5112i | −0.678040 | + | 2.08679i | ||||
\(416\) | −8.49016 | − | 10.4610i | −0.416264 | − | 0.512890i | ||||
\(417\) | 9.93667i | 0.486601i | ||||||||
\(418\) | 8.77170 | − | 3.57389i | 0.429038 | − | 0.174805i | ||||
\(419\) | − | 26.5187i | − | 1.29552i | −0.761843 | − | 0.647761i | \(-0.775705\pi\) | ||
0.761843 | − | 0.647761i | \(-0.224295\pi\) | |||||||
\(420\) | 25.6567 | + | 11.4096i | 1.25192 | + | 0.556731i | ||||
\(421\) | −2.77949 | + | 8.55438i | −0.135464 | + | 0.416915i | −0.995662 | − | 0.0930453i | \(-0.970340\pi\) |
0.860198 | + | 0.509960i | \(0.170340\pi\) | |||||||
\(422\) | −30.8797 | − | 11.8458i | −1.50320 | − | 0.576645i | ||||
\(423\) | −0.440733 | − | 0.606617i | −0.0214292 | − | 0.0294947i | ||||
\(424\) | 22.9122 | − | 3.64441i | 1.11271 | − | 0.176988i | ||||
\(425\) | 2.87845 | − | 0.935265i | 0.139625 | − | 0.0453670i | ||||
\(426\) | −6.03558 | − | 9.28951i | −0.292425 | − | 0.450078i | ||||
\(427\) | 9.81389 | − | 13.5077i | 0.474928 | − | 0.653682i | ||||
\(428\) | 6.57517 | + | 30.8670i | 0.317823 | + | 1.49201i | ||||
\(429\) | 12.4068 | + | 6.83335i | 0.599004 | + | 0.329917i | ||||
\(430\) | 16.2106 | − | 20.0275i | 0.781746 | − | 0.965810i | ||||
\(431\) | −21.9146 | − | 15.9219i | −1.05559 | − | 0.766930i | −0.0823219 | − | 0.996606i | \(-0.526234\pi\) |
−0.973267 | + | 0.229675i | \(0.926234\pi\) | |||||||
\(432\) | 19.8619 | − | 2.10522i | 0.955605 | − | 0.101287i | ||||
\(433\) | 5.27191 | + | 16.2253i | 0.253352 | + | 0.779737i | 0.994150 | + | 0.108009i | \(0.0344476\pi\) |
−0.740798 | + | 0.671728i | \(0.765552\pi\) | |||||||
\(434\) | 22.3186 | + | 1.16475i | 1.07133 | + | 0.0559098i | ||||
\(435\) | −4.88916 | + | 3.55218i | −0.234417 | + | 0.170314i | ||||
\(436\) | −3.35395 | − | 5.80332i | −0.160625 | − | 0.277929i | ||||
\(437\) | −5.03060 | − | 1.63454i | −0.240646 | − | 0.0781908i | ||||
\(438\) | −2.17778 | + | 0.584048i | −0.104058 | + | 0.0279069i | ||||
\(439\) | 20.6354 | 0.984876 | 0.492438 | − | 0.870348i | \(-0.336106\pi\) | ||||
0.492438 | + | 0.870348i | \(0.336106\pi\) | |||||||
\(440\) | 26.7238 | − | 7.76035i | 1.27401 | − | 0.369960i | ||||
\(441\) | 0.00722481 | 0.000344039 | ||||||||
\(442\) | 2.59122 | − | 0.694925i | 0.123252 | − | 0.0330542i | ||||
\(443\) | −38.3428 | − | 12.4583i | −1.82172 | − | 0.591913i | −0.999749 | − | 0.0223817i | \(-0.992875\pi\) |
−0.821970 | − | 0.569531i | \(-0.807125\pi\) | |||||||
\(444\) | −15.6708 | − | 27.1152i | −0.743705 | − | 1.28683i | ||||
\(445\) | −10.2025 | + | 7.41256i | −0.483646 | + | 0.351389i | ||||
\(446\) | 3.64547 | + | 0.190248i | 0.172618 | + | 0.00900851i | ||||
\(447\) | 1.18743 | + | 3.65454i | 0.0561637 | + | 0.172854i | ||||
\(448\) | 20.0732 | − | 6.55143i | 0.948367 | − | 0.309526i | ||||
\(449\) | −14.7159 | − | 10.6918i | −0.694488 | − | 0.504575i | 0.183645 | − | 0.982993i | \(-0.441210\pi\) |
−0.878132 | + | 0.478418i | \(0.841210\pi\) | |||||||
\(450\) | 0.728013 | − | 0.899425i | 0.0343189 | − | 0.0423993i | ||||
\(451\) | 4.03270 | + | 32.1247i | 0.189892 | + | 1.51269i | ||||
\(452\) | −0.997265 | − | 4.68165i | −0.0469074 | − | 0.220206i | ||||
\(453\) | −13.4879 | + | 18.5646i | −0.633719 | + | 0.872239i | ||||
\(454\) | 1.64028 | + | 2.52460i | 0.0769822 | + | 0.118485i | ||||
\(455\) | −17.7349 | + | 5.76242i | −0.831426 | + | 0.270147i | ||||
\(456\) | −1.60885 | − | 10.1147i | −0.0753413 | − | 0.473666i | ||||
\(457\) | −9.86950 | − | 13.5842i | −0.461676 | − | 0.635442i | 0.513179 | − | 0.858281i | \(-0.328468\pi\) |
−0.974855 | + | 0.222839i | \(0.928468\pi\) | |||||||
\(458\) | 16.7447 | + | 6.42345i | 0.782426 | + | 0.300148i | ||||
\(459\) | −1.22902 | + | 3.78253i | −0.0573657 | + | 0.176554i | ||||
\(460\) | −14.1995 | − | 6.31456i | −0.662056 | − | 0.294418i | ||||
\(461\) | − | 14.7518i | − | 0.687059i | −0.939142 | − | 0.343530i | \(-0.888377\pi\) | ||
0.939142 | − | 0.343530i | \(-0.111623\pi\) | |||||||
\(462\) | −16.9635 | + | 14.3188i | −0.789212 | + | 0.666172i | ||||
\(463\) | 26.2666i | 1.22071i | 0.792126 | + | 0.610357i | \(0.208974\pi\) | ||||
−0.792126 | + | 0.610357i | \(0.791026\pi\) | |||||||
\(464\) | −0.940951 | + | 4.44603i | −0.0436825 | + | 0.206402i | ||||
\(465\) | 9.84166 | − | 30.2895i | 0.456396 | − | 1.40464i | ||||
\(466\) | 1.96568 | − | 5.12414i | 0.0910584 | − | 0.237371i | ||||
\(467\) | 1.73067 | + | 2.38206i | 0.0800856 | + | 0.110228i | 0.847180 | − | 0.531305i | \(-0.178298\pi\) |
−0.767095 | + | 0.641534i | \(0.778298\pi\) | |||||||
\(468\) | 0.685989 | − | 0.762542i | 0.0317099 | − | 0.0352485i | ||||
\(469\) | 13.5717 | − | 4.40970i | 0.626681 | − | 0.203621i | ||||
\(470\) | 12.2498 | − | 7.95896i | 0.565043 | − | 0.367120i | ||||
\(471\) | 22.0419 | − | 30.3381i | 1.01564 | − | 1.39790i | ||||
\(472\) | −0.960861 | + | 1.88887i | −0.0442272 | + | 0.0869424i | ||||
\(473\) | 8.65866 | + | 18.4381i | 0.398125 | + | 0.847785i | ||||
\(474\) | −5.31040 | − | 4.29834i | −0.243915 | − | 0.197429i | ||||
\(475\) | 6.20786 | + | 4.51028i | 0.284836 | + | 0.206946i | ||||
\(476\) | −0.437664 | + | 4.18177i | −0.0200603 | + | 0.191671i | ||||
\(477\) | 0.545805 | + | 1.67981i | 0.0249907 | + | 0.0769134i | ||||
\(478\) | 1.07831 | − | 20.6622i | 0.0493206 | − | 0.945065i | ||||
\(479\) | −2.23433 | + | 1.62334i | −0.102089 | + | 0.0741722i | −0.637659 | − | 0.770319i | \(-0.720097\pi\) |
0.535570 | + | 0.844491i | \(0.320097\pi\) | |||||||
\(480\) | −1.60780 | − | 30.0472i | −0.0733858 | − | 1.37146i | ||||
\(481\) | 19.7804 | + | 6.42705i | 0.901910 | + | 0.293048i | ||||
\(482\) | 6.75241 | + | 25.1782i | 0.307564 | + | 1.14684i | ||||
\(483\) | 12.3968 | 0.564075 | ||||||||
\(484\) | −3.69341 | + | 21.6878i | −0.167882 | + | 0.985807i | ||||
\(485\) | 21.7329 | 0.986840 | ||||||||
\(486\) | 0.818213 | + | 3.05093i | 0.0371149 | + | 0.138393i | ||||
\(487\) | −2.52630 | − | 0.820844i | −0.114478 | − | 0.0371960i | 0.251218 | − | 0.967931i | \(-0.419169\pi\) |
−0.365696 | + | 0.930735i | \(0.619169\pi\) | |||||||
\(488\) | −17.6737 | − | 2.78730i | −0.800050 | − | 0.126175i | ||||
\(489\) | −7.93651 | + | 5.76621i | −0.358901 | + | 0.260757i | ||||
\(490\) | −0.00733578 | + | 0.140566i | −0.000331397 | + | 0.00635012i | ||||
\(491\) | 6.45391 | + | 19.8631i | 0.291261 | + | 0.896408i | 0.984452 | + | 0.175654i | \(0.0562041\pi\) |
−0.693191 | + | 0.720754i | \(0.743796\pi\) | |||||||
\(492\) | 34.8189 | + | 3.64415i | 1.56976 | + | 0.164291i | ||||
\(493\) | −0.732108 | − | 0.531907i | −0.0329725 | − | 0.0239559i | ||||
\(494\) | 5.28685 | + | 4.27929i | 0.237867 | + | 0.192534i | ||||
\(495\) | 0.900536 | + | 1.91764i | 0.0404761 | + | 0.0861914i | ||||
\(496\) | −9.76036 | − | 21.8704i | −0.438253 | − | 0.982009i | ||||
\(497\) | −6.77735 | + | 9.32822i | −0.304006 | + | 0.418428i | ||||
\(498\) | −32.0418 | + | 20.8182i | −1.43583 | + | 0.932886i | ||||
\(499\) | 4.48326 | − | 1.45670i | 0.200698 | − | 0.0652108i | −0.206943 | − | 0.978353i | \(-0.566351\pi\) |
0.407641 | + | 0.913142i | \(0.366351\pi\) | |||||||
\(500\) | −5.29372 | − | 4.76227i | −0.236742 | − | 0.212975i | ||||
\(501\) | −1.41725 | − | 1.95067i | −0.0633179 | − | 0.0871496i | ||||
\(502\) | −5.17943 | + | 13.5018i | −0.231169 | + | 0.602613i | ||||
\(503\) | −1.18968 | + | 3.66147i | −0.0530454 | + | 0.163257i | −0.974070 | − | 0.226248i | \(-0.927354\pi\) |
0.921024 | + | 0.389505i | \(0.127354\pi\) | |||||||
\(504\) | 0.730746 | + | 1.43184i | 0.0325500 | + | 0.0637791i | ||||
\(505\) | − | 15.9201i | − | 0.708435i | ||||||
\(506\) | 9.38831 | − | 7.92466i | 0.417361 | − | 0.352294i | ||||
\(507\) | − | 13.1395i | − | 0.583546i | ||||||
\(508\) | −12.8578 | + | 28.9133i | −0.570472 | + | 1.28282i | ||||
\(509\) | 1.18584 | − | 3.64963i | 0.0525613 | − | 0.161767i | −0.921330 | − | 0.388781i | \(-0.872896\pi\) |
0.973892 | + | 0.227014i | \(0.0728963\pi\) | |||||||
\(510\) | 5.59427 | + | 2.14603i | 0.247718 | + | 0.0950277i | ||||
\(511\) | 1.37941 | + | 1.89859i | 0.0610214 | + | 0.0839887i | ||||
\(512\) | −16.0316 | − | 15.9683i | −0.708503 | − | 0.705707i | ||||
\(513\) | −9.58992 | + | 3.11595i | −0.423405 | + | 0.137573i | ||||
\(514\) | −0.838177 | − | 1.29006i | −0.0369704 | − | 0.0569021i | ||||
\(515\) | 18.7311 | − | 25.7812i | 0.825393 | − | 1.13606i | ||||
\(516\) | 21.5427 | − | 4.58894i | 0.948366 | − | 0.202017i | ||||
\(517\) | 1.43849 | + | 11.4591i | 0.0632647 | + | 0.503970i | ||||
\(518\) | −20.5080 | + | 25.3367i | −0.901071 | + | 1.11323i | ||||
\(519\) | −11.4922 | − | 8.34959i | −0.504453 | − | 0.366506i | ||||
\(520\) | 14.1395 | + | 14.1208i | 0.620057 | + | 0.619240i | ||||
\(521\) | −1.88548 | − | 5.80291i | −0.0826044 | − | 0.254230i | 0.901221 | − | 0.433360i | \(-0.142672\pi\) |
−0.983826 | + | 0.179129i | \(0.942672\pi\) | |||||||
\(522\) | −0.345509 | − | 0.0180313i | −0.0151225 | − | 0.000789207i | ||||
\(523\) | 20.3838 | − | 14.8097i | 0.891320 | − | 0.647582i | −0.0449017 | − | 0.998991i | \(-0.514297\pi\) |
0.936222 | + | 0.351409i | \(0.114297\pi\) | |||||||
\(524\) | 15.9916 | − | 9.24212i | 0.698596 | − | 0.403744i | ||||
\(525\) | −17.1036 | − | 5.55729i | −0.746462 | − | 0.242540i | ||||
\(526\) | −33.8532 | + | 9.07890i | −1.47607 | + | 0.395859i | ||||
\(527\) | 4.76899 | 0.207740 | ||||||||
\(528\) | 21.9307 | + | 9.21639i | 0.954412 | + | 0.401092i | ||||
\(529\) | 16.1391 | 0.701698 | ||||||||
\(530\) | −33.2366 | + | 8.91355i | −1.44371 | + | 0.387180i | ||||
\(531\) | −0.153442 | − | 0.0498564i | −0.00665883 | − | 0.00216358i | ||||
\(532\) | −9.22950 | + | 5.33406i | −0.400150 | + | 0.231261i | ||||
\(533\) | −18.8095 | + | 13.6659i | −0.814728 | + | 0.591935i | ||||
\(534\) | −10.7659 | − | 0.561845i | −0.465886 | − | 0.0243134i | ||||
\(535\) | −14.4651 | − | 44.5189i | −0.625379 | − | 1.92472i | ||||
\(536\) | −10.8202 | − | 10.8060i | −0.467363 | − | 0.466748i | ||||
\(537\) | −37.3300 | − | 27.1218i | −1.61091 | − | 1.17039i | ||||
\(538\) | −15.0362 | + | 18.5765i | −0.648258 | + | 0.800891i | ||||
\(539\) | −0.0974728 | − | 0.0536857i | −0.00419845 | − | 0.00231241i | ||||
\(540\) | −28.9746 | + | 6.17204i | −1.24687 | + | 0.265602i | ||||
\(541\) | 23.6178 | − | 32.5071i | 1.01541 | − | 1.39759i | 0.100032 | − | 0.994984i | \(-0.468105\pi\) |
0.915374 | − | 0.402604i | \(-0.131895\pi\) | |||||||
\(542\) | 10.0241 | + | 15.4284i | 0.430573 | + | 0.662705i | ||||
\(543\) | −22.8550 | + | 7.42604i | −0.980802 | + | 0.318682i | ||||
\(544\) | 4.20469 | − | 1.61933i | 0.180274 | − | 0.0694281i | ||||
\(545\) | 5.84362 | + | 8.04305i | 0.250313 | + | 0.344526i | ||||
\(546\) | −14.8834 | − | 5.70945i | −0.636951 | − | 0.244342i | ||||
\(547\) | −9.16722 | + | 28.2138i | −0.391962 | + | 1.20633i | 0.539341 | + | 0.842088i | \(0.318674\pi\) |
−0.931302 | + | 0.364247i | \(0.881326\pi\) | |||||||
\(548\) | 12.3669 | − | 27.8095i | 0.528290 | − | 1.18796i | ||||
\(549\) | − | 1.36215i | − | 0.0581351i | ||||||
\(550\) | −16.5053 | + | 6.72483i | −0.703789 | + | 0.286748i | ||||
\(551\) | − | 2.29430i | − | 0.0977403i | ||||||
\(552\) | −6.03890 | − | 11.8327i | −0.257033 | − | 0.503634i | ||||
\(553\) | −2.19739 | + | 6.76287i | −0.0934426 | + | 0.287587i | ||||
\(554\) | −13.4521 | + | 35.0669i | −0.571524 | + | 1.48985i | ||||
\(555\) | 27.3034 | + | 37.5800i | 1.15897 | + | 1.59518i | ||||
\(556\) | −8.23954 | − | 7.41236i | −0.349434 | − | 0.314354i | ||||
\(557\) | −1.85960 | + | 0.604220i | −0.0787937 | + | 0.0256016i | −0.348149 | − | 0.937439i | \(-0.613190\pi\) |
0.269355 | + | 0.963041i | \(0.413190\pi\) | |||||||
\(558\) | 1.52893 | − | 0.993379i | 0.0647249 | − | 0.0420531i | ||||
\(559\) | −8.59792 | + | 11.8340i | −0.363653 | + | 0.500526i | ||||
\(560\) | −28.5998 | + | 12.7636i | −1.20856 | + | 0.539359i | ||||
\(561\) | −3.45563 | + | 3.23996i | −0.145897 | + | 0.136791i | ||||
\(562\) | 35.5066 | + | 28.7398i | 1.49776 | + | 1.21232i | ||||
\(563\) | 23.3680 | + | 16.9778i | 0.984844 | + | 0.715531i | 0.958786 | − | 0.284129i | \(-0.0917045\pi\) |
0.0260581 | + | 0.999660i | \(0.491705\pi\) | |||||||
\(564\) | 12.4201 | + | 1.29989i | 0.522982 | + | 0.0547353i | ||||
\(565\) | 2.19394 | + | 6.75224i | 0.0922996 | + | 0.284069i | ||||
\(566\) | 1.85616 | − | 35.5672i | 0.0780204 | − | 1.49500i | ||||
\(567\) | 20.4983 | − | 14.8929i | 0.860847 | − | 0.625442i | ||||
\(568\) | 12.2052 | + | 1.92487i | 0.512120 | + | 0.0807659i | ||||
\(569\) | −38.5277 | − | 12.5184i | −1.61516 | − | 0.524799i | −0.644370 | − | 0.764714i | \(-0.722880\pi\) |
−0.970794 | + | 0.239915i | \(0.922880\pi\) | |||||||
\(570\) | 3.93495 | + | 14.6725i | 0.164817 | + | 0.614565i | ||||
\(571\) | −3.74607 | −0.156768 | −0.0783841 | − | 0.996923i | \(-0.524976\pi\) | ||||
−0.0783841 | + | 0.996923i | \(0.524976\pi\) | |||||||
\(572\) | −14.9212 | + | 5.19034i | −0.623887 | + | 0.217019i | ||||
\(573\) | 7.53132 | 0.314625 | ||||||||
\(574\) | −9.43868 | − | 35.1947i | −0.393963 | − | 1.46900i | ||||
\(575\) | 9.46587 | + | 3.07565i | 0.394754 | + | 0.128263i | ||||
\(576\) | 1.01071 | − | 1.39499i | 0.0421130 | − | 0.0581246i | ||||
\(577\) | 10.5829 | − | 7.68889i | 0.440570 | − | 0.320093i | −0.345291 | − | 0.938496i | \(-0.612220\pi\) |
0.785861 | + | 0.618403i | \(0.212220\pi\) | |||||||
\(578\) | 1.20621 | − | 23.1130i | 0.0501716 | − | 0.961373i | ||||
\(579\) | 9.95262 | + | 30.6310i | 0.413617 | + | 1.27298i | ||||
\(580\) | 0.701632 | − | 6.70391i | 0.0291337 | − | 0.278365i | ||||
\(581\) | 32.1754 | + | 23.3768i | 1.33486 | + | 0.969831i | ||||
\(582\) | 14.4407 | + | 11.6886i | 0.598587 | + | 0.484508i | ||||
\(583\) | 5.11860 | − | 26.7188i | 0.211991 | − | 1.10658i | ||||
\(584\) | 1.14024 | − | 2.24151i | 0.0471836 | − | 0.0927541i | ||||
\(585\) | −0.894219 | + | 1.23079i | −0.0369714 | + | 0.0508868i | ||||
\(586\) | 1.54343 | − | 1.00280i | 0.0637585 | − | 0.0414252i | ||||
\(587\) | 15.5242 | − | 5.04411i | 0.640752 | − | 0.208193i | 0.0294198 | − | 0.999567i | \(-0.490634\pi\) |
0.611332 | + | 0.791374i | \(0.290634\pi\) | |||||||
\(588\) | −0.0804749 | + | 0.0894554i | −0.00331873 | + | 0.00368908i | ||||
\(589\) | 7.10685 | + | 9.78174i | 0.292833 | + | 0.403050i | ||||
\(590\) | 1.12580 | − | 2.93475i | 0.0463487 | − | 0.120822i | ||||
\(591\) | −4.08174 | + | 12.5623i | −0.167901 | + | 0.516745i | ||||
\(592\) | 34.1739 | + | 7.23250i | 1.40454 | + | 0.297254i | ||||
\(593\) | 10.2426i | 0.420614i | 0.977635 | + | 0.210307i | \(0.0674464\pi\) | ||||
−0.977635 | + | 0.210307i | \(0.932554\pi\) | |||||||
\(594\) | 5.59943 | − | 22.7414i | 0.229748 | − | 0.933090i | ||||
\(595\) | − | 6.23638i | − | 0.255667i | ||||||
\(596\) | −3.91615 | − | 1.74152i | −0.160412 | − | 0.0713354i | ||||
\(597\) | 11.8378 | − | 36.4331i | 0.484490 | − | 1.49111i | ||||
\(598\) | 8.23712 | + | 3.15986i | 0.336841 | + | 0.129216i | ||||
\(599\) | −1.06008 | − | 1.45907i | −0.0433135 | − | 0.0596159i | 0.786811 | − | 0.617194i | \(-0.211731\pi\) |
−0.830124 | + | 0.557578i | \(0.811731\pi\) | |||||||
\(600\) | 3.02730 | + | 19.0324i | 0.123589 | + | 0.776996i | ||||
\(601\) | −14.1120 | + | 4.58526i | −0.575640 | + | 0.187037i | −0.582346 | − | 0.812941i | \(-0.697865\pi\) |
0.00670667 | + | 0.999978i | \(0.497865\pi\) | |||||||
\(602\) | −12.4902 | − | 19.2240i | −0.509064 | − | 0.783513i | ||||
\(603\) | 0.684302 | − | 0.941861i | 0.0278669 | − | 0.0383555i | ||||
\(604\) | −5.33236 | − | 25.0327i | −0.216971 | − | 1.01857i | ||||
\(605\) | 2.10000 | − | 32.5633i | 0.0853770 | − | 1.32389i | ||||
\(606\) | 8.56231 | − | 10.5783i | 0.347820 | − | 0.429715i | ||||
\(607\) | −24.0981 | − | 17.5083i | −0.978111 | − | 0.710640i | −0.0208256 | − | 0.999783i | \(-0.506629\pi\) |
−0.957286 | + | 0.289144i | \(0.906629\pi\) | |||||||
\(608\) | 9.58734 | + | 6.21113i | 0.388818 | + | 0.251894i | ||||
\(609\) | 1.66161 | + | 5.11390i | 0.0673317 | + | 0.207226i | ||||
\(610\) | 26.5020 | + | 1.38307i | 1.07303 | + | 0.0559989i | ||||
\(611\) | −6.70946 | + | 4.87471i | −0.271436 | + | 0.197209i | ||||
\(612\) | 0.171644 | + | 0.296995i | 0.00693829 | + | 0.0120053i | ||||
\(613\) | −2.81090 | − | 0.913317i | −0.113531 | − | 0.0368885i | 0.251700 | − | 0.967805i | \(-0.419010\pi\) |
−0.365232 | + | 0.930917i | \(0.619010\pi\) | |||||||
\(614\) | −5.72755 | + | 1.53604i | −0.231145 | + | 0.0619896i | ||||
\(615\) | −51.9264 | −2.09387 | ||||||||
\(616\) | 0.780825 | − | 24.7475i | 0.0314603 | − | 0.997104i | ||||
\(617\) | 21.5685 | 0.868316 | 0.434158 | − | 0.900837i | \(-0.357046\pi\) | ||||
0.434158 | + | 0.900837i | \(0.357046\pi\) | |||||||
\(618\) | 26.3121 | − | 7.05649i | 1.05843 | − | 0.283854i | ||||
\(619\) | −12.1640 | − | 3.95233i | −0.488913 | − | 0.158858i | 0.0541778 | − | 0.998531i | \(-0.482746\pi\) |
−0.543091 | + | 0.839674i | \(0.682746\pi\) | |||||||
\(620\) | 17.7747 | + | 30.7555i | 0.713851 | + | 1.23517i | ||||
\(621\) | −10.5812 | + | 7.68771i | −0.424610 | + | 0.308497i | ||||
\(622\) | 22.0305 | + | 1.14972i | 0.883342 | + | 0.0460994i | ||||
\(623\) | 3.46738 | + | 10.6715i | 0.138917 | + | 0.427544i | ||||
\(624\) | 1.80054 | + | 16.9874i | 0.0720794 | + | 0.680041i | ||||
\(625\) | 23.9149 | + | 17.3752i | 0.956597 | + | 0.695009i | ||||
\(626\) | 24.0358 | − | 29.6950i | 0.960663 | − | 1.18685i | ||||
\(627\) | −11.7952 | − | 2.25964i | −0.471054 | − | 0.0902414i | ||||
\(628\) | 8.71411 | + | 40.9083i | 0.347731 | + | 1.63242i | ||||
\(629\) | −4.08844 | + | 5.62726i | −0.163017 | + | 0.224373i | ||||
\(630\) | −1.29904 | − | 1.99938i | −0.0517548 | − | 0.0796571i | ||||
\(631\) | 16.9564 | − | 5.50948i | 0.675025 | − | 0.219329i | 0.0486093 | − | 0.998818i | \(-0.484521\pi\) |
0.626416 | + | 0.779489i | \(0.284521\pi\) | |||||||
\(632\) | 7.52556 | − | 1.19702i | 0.299351 | − | 0.0476147i | ||||
\(633\) | 24.6491 | + | 33.9266i | 0.979713 | + | 1.34846i | ||||
\(634\) | 2.48291 | + | 0.952473i | 0.0986088 | + | 0.0378275i | ||||
\(635\) | 14.5034 | − | 44.6370i | 0.575552 | − | 1.77137i | ||||
\(636\) | −26.8785 | − | 11.9529i | −1.06580 | − | 0.473965i | ||||
\(637\) | − | 0.0799096i | − | 0.00316613i | ||||||
\(638\) | 4.52742 | + | 2.81066i | 0.179242 | + | 0.111275i | ||||
\(639\) | 0.940683i | 0.0372129i | ||||||||
\(640\) | 26.1147 | + | 21.0808i | 1.03227 | + | 0.833293i | ||||
\(641\) | 3.25881 | − | 10.0296i | 0.128715 | − | 0.396144i | −0.865845 | − | 0.500313i | \(-0.833218\pi\) |
0.994560 | + | 0.104169i | \(0.0332182\pi\) | |||||||
\(642\) | 14.3321 | − | 37.3609i | 0.565643 | − | 1.47452i | ||||
\(643\) | 8.02613 | + | 11.0470i | 0.316520 | + | 0.435652i | 0.937401 | − | 0.348253i | \(-0.113225\pi\) |
−0.620881 | + | 0.783905i | \(0.713225\pi\) | |||||||
\(644\) | −9.24754 | + | 10.2795i | −0.364404 | + | 0.405070i | ||||
\(645\) | −31.0706 | + | 10.0955i | −1.22341 | + | 0.397508i | ||||
\(646\) | −1.90747 | + | 1.23932i | −0.0750482 | + | 0.0487603i | ||||
\(647\) | −17.5960 | + | 24.2189i | −0.691772 | + | 0.952142i | 0.308228 | + | 0.951313i | \(0.400264\pi\) |
−1.00000 | 0.000829444i | \(0.999736\pi\) | ||||||||
\(648\) | −24.2006 | − | 12.3107i | −0.950689 | − | 0.483611i | ||||
\(649\) | 1.69968 | + | 1.81282i | 0.0667183 | + | 0.0711596i | ||||
\(650\) | −9.94804 | − | 8.05215i | −0.390194 | − | 0.315831i | ||||
\(651\) | −22.9252 | − | 16.6561i | −0.898508 | − | 0.652804i | ||||
\(652\) | 1.13895 | − | 10.8824i | 0.0446047 | − | 0.426186i | ||||
\(653\) | 6.24013 | + | 19.2051i | 0.244195 | + | 0.751555i | 0.995768 | + | 0.0919047i | \(0.0292955\pi\) |
−0.751573 | + | 0.659650i | \(0.770704\pi\) | |||||||
\(654\) | −0.442925 | + | 8.48718i | −0.0173197 | + | 0.331875i | ||||
\(655\) | −22.1634 | + | 16.1026i | −0.865994 | + | 0.629182i | ||||
\(656\) | −28.9953 | + | 26.1537i | −1.13208 | + | 1.02113i | ||||
\(657\) | 0.182088 | + | 0.0591641i | 0.00710395 | + | 0.00230821i | ||||
\(658\) | −3.36684 | − | 12.5542i | −0.131253 | − | 0.489413i | ||||
\(659\) | 13.1324 | 0.511567 | 0.255784 | − | 0.966734i | \(-0.417667\pi\) | ||||
0.255784 | + | 0.966734i | \(0.417667\pi\) | |||||||
\(660\) | −33.7744 | − | 10.2098i | −1.31467 | − | 0.397416i | ||||
\(661\) | −37.8593 | −1.47255 | −0.736277 | − | 0.676680i | \(-0.763418\pi\) | ||||
−0.736277 | + | 0.676680i | \(0.763418\pi\) | |||||||
\(662\) | 0.861830 | + | 3.21357i | 0.0334960 | + | 0.124899i | ||||
\(663\) | −3.23512 | − | 1.05115i | −0.125641 | − | 0.0408234i | ||||
\(664\) | 6.63936 | − | 42.0988i | 0.257657 | − | 1.63375i | ||||
\(665\) | 12.7915 | − | 9.29358i | 0.496034 | − | 0.360390i | ||||
\(666\) | −0.138595 | + | 2.65571i | −0.00537045 | + | 0.102907i | ||||
\(667\) | −0.919605 | − | 2.83025i | −0.0356072 | − | 0.109588i | ||||
\(668\) | 2.67472 | + | 0.279936i | 0.103488 | + | 0.0108311i | ||||
\(669\) | −3.74455 | − | 2.72058i | −0.144773 | − | 0.105184i | ||||
\(670\) | 17.6300 | + | 14.2701i | 0.681107 | + | 0.551302i | ||||
\(671\) | −10.1218 | + | 18.3773i | −0.390747 | + | 0.709448i | ||||
\(672\) | −25.8681 | − | 6.90090i | −0.997884 | − | 0.266208i | ||||
\(673\) | −3.75150 | + | 5.16350i | −0.144610 | + | 0.199038i | −0.875177 | − | 0.483802i | \(-0.839255\pi\) |
0.730568 | + | 0.682840i | \(0.239255\pi\) | |||||||
\(674\) | −25.6539 | + | 16.6679i | −0.988151 | + | 0.642022i | ||||
\(675\) | 18.0449 | − | 5.86315i | 0.694549 | − | 0.225673i | ||||
\(676\) | 10.8954 | + | 9.80156i | 0.419052 | + | 0.376983i | ||||
\(677\) | −20.4623 | − | 28.1640i | −0.786430 | − | 1.08243i | −0.994543 | − | 0.104324i | \(-0.966732\pi\) |
0.208113 | − | 0.978105i | \(-0.433268\pi\) | |||||||
\(678\) | −2.17377 | + | 5.66658i | −0.0834831 | + | 0.217624i | ||||
\(679\) | 5.97543 | − | 18.3905i | 0.229316 | − | 0.705762i | ||||
\(680\) | −5.95260 | + | 3.03795i | −0.228272 | + | 0.116500i | ||||
\(681\) | − | 3.81734i | − | 0.146281i | ||||||
\(682\) | −28.0090 | + | 2.04095i | −1.07252 | + | 0.0781521i | ||||
\(683\) | 10.9010i | 0.417115i | 0.978010 | + | 0.208558i | \(0.0668769\pi\) | ||||
−0.978010 | + | 0.208558i | \(0.933123\pi\) | |||||||
\(684\) | −0.353382 | + | 0.794649i | −0.0135119 | + | 0.0303841i | ||||
\(685\) | −13.9498 | + | 42.9330i | −0.532993 | + | 1.64038i | ||||
\(686\) | 24.5123 | + | 9.40321i | 0.935883 | + | 0.359016i | ||||
\(687\) | −13.3661 | − | 18.3968i | −0.509948 | − | 0.701883i | ||||
\(688\) | −12.2649 | + | 21.2865i | −0.467593 | + | 0.811541i | ||||
\(689\) | 18.5795 | − | 6.03684i | 0.707822 | − | 0.229985i | ||||
\(690\) | 10.7352 | + | 16.5229i | 0.408684 | + | 0.629015i | ||||
\(691\) | −18.5723 | + | 25.5626i | −0.706525 | + | 0.972449i | 0.293340 | + | 0.956008i | \(0.405233\pi\) |
−0.999865 | + | 0.0164403i | \(0.994767\pi\) | |||||||
\(692\) | 15.4963 | − | 3.30095i | 0.589080 | − | 0.125483i | ||||
\(693\) | 1.87032 | − | 0.234786i | 0.0710474 | − | 0.00891877i | ||||
\(694\) | −0.472856 | + | 0.584191i | −0.0179494 | + | 0.0221756i | ||||
\(695\) | 13.2991 | + | 9.66236i | 0.504464 | + | 0.366514i | ||||
\(696\) | 4.07177 | − | 4.07714i | 0.154340 | − | 0.154544i | ||||
\(697\) | −2.40276 | − | 7.39494i | −0.0910111 | − | 0.280103i | ||||
\(698\) | −50.6155 | − | 2.64150i | −1.91583 | − | 0.0999822i | ||||
\(699\) | −5.62973 | + | 4.09024i | −0.212936 | + | 0.154707i | ||||
\(700\) | 17.3667 | − | 10.0369i | 0.656401 | − | 0.379358i | ||||
\(701\) | 24.9699 | + | 8.11321i | 0.943100 | + | 0.306432i | 0.739909 | − | 0.672707i | \(-0.234869\pi\) |
0.203191 | + | 0.979139i | \(0.434869\pi\) | |||||||
\(702\) | 16.2443 | − | 4.35646i | 0.613100 | − | 0.164424i | ||||
\(703\) | −17.6348 | −0.665110 | ||||||||
\(704\) | −24.0017 | + | 11.3100i | −0.904600 | + | 0.426262i | ||||
\(705\) | −18.5225 | −0.697596 | ||||||||
\(706\) | −1.31736 | + | 0.353296i | −0.0495796 | + | 0.0132965i | ||||
\(707\) | −13.4717 | − | 4.37721i | −0.506654 | − | 0.164622i | ||||
\(708\) | 2.32645 | − | 1.34454i | 0.0874334 | − | 0.0505309i | ||||
\(709\) | 6.05149 | − | 4.39667i | 0.227269 | − | 0.165120i | −0.468324 | − | 0.883557i | \(-0.655142\pi\) |
0.695592 | + | 0.718437i | \(0.255142\pi\) | |||||||
\(710\) | −18.3019 | − | 0.955131i | −0.686859 | − | 0.0358454i | ||||
\(711\) | 0.179271 | + | 0.551739i | 0.00672318 | + | 0.0206918i | ||||
\(712\) | 8.49682 | − | 8.50803i | 0.318432 | − | 0.318852i | ||||
\(713\) | 12.6878 | + | 9.21821i | 0.475161 | + | 0.345225i | ||||
\(714\) | 3.35411 | − | 4.14385i | 0.125525 | − | 0.155080i | ||||
\(715\) | 21.2099 | − | 9.96032i | 0.793206 | − | 0.372495i | ||||
\(716\) | 50.3363 | − | 10.7224i | 1.88115 | − | 0.400716i | ||||
\(717\) | −15.4199 | + | 21.2237i | −0.575868 | + | 0.792615i | ||||
\(718\) | −12.0886 | − | 18.6058i | −0.451142 | − | 0.694363i | ||||
\(719\) | 35.3708 | − | 11.4927i | 1.31911 | − | 0.428605i | 0.436920 | − | 0.899500i | \(-0.356069\pi\) |
0.882189 | + | 0.470896i | \(0.156069\pi\) | |||||||
\(720\) | −1.27560 | + | 2.21389i | −0.0475386 | + | 0.0825067i | ||||
\(721\) | −16.6661 | − | 22.9389i | −0.620677 | − | 0.854289i | ||||
\(722\) | 19.7029 | + | 7.55829i | 0.733268 | + | 0.281290i | ||||
\(723\) | 10.2138 | − | 31.4348i | 0.379855 | − | 1.16907i | ||||
\(724\) | 10.8912 | − | 24.4910i | 0.404769 | − | 0.910202i | ||||
\(725\) | 4.31707i | 0.160332i | ||||||||
\(726\) | 18.9089 | − | 20.5077i | 0.701775 | − | 0.761111i | ||||
\(727\) | − | 10.3895i | − | 0.385324i | −0.981265 | − | 0.192662i | \(-0.938288\pi\) | ||
0.981265 | − | 0.192662i | \(-0.0617121\pi\) | |||||||
\(728\) | 15.8368 | − | 8.08238i | 0.586949 | − | 0.299553i | ||||
\(729\) | −7.66170 | + | 23.5803i | −0.283767 | + | 0.873344i | ||||
\(730\) | −1.33598 | + | 3.48264i | −0.0494469 | + | 0.128898i | ||||
\(731\) | −2.87543 | − | 3.95769i | −0.106352 | − | 0.146381i | ||||
\(732\) | 16.8657 | + | 15.1726i | 0.623375 | + | 0.560794i | ||||
\(733\) | 16.2007 | − | 5.26392i | 0.598385 | − | 0.194427i | 0.00586517 | − | 0.999983i | \(-0.498133\pi\) |
0.592520 | + | 0.805556i | \(0.298133\pi\) | |||||||
\(734\) | 35.1348 | − | 22.8278i | 1.29685 | − | 0.842588i | ||||
\(735\) | 0.104903 | − | 0.144386i | 0.00386940 | − | 0.00532577i | ||||
\(736\) | 14.3165 | + | 3.81926i | 0.527715 | + | 0.140780i | ||||
\(737\) | −16.2309 | + | 7.62215i | −0.597874 | + | 0.280765i | ||||
\(738\) | −2.31069 | − | 1.87032i | −0.0850576 | − | 0.0688473i | ||||
\(739\) | 20.4337 | + | 14.8459i | 0.751666 | + | 0.546117i | 0.896343 | − | 0.443362i | \(-0.146214\pi\) |
−0.144677 | + | 0.989479i | \(0.546214\pi\) | |||||||
\(740\) | −51.5288 | − | 5.39301i | −1.89424 | − | 0.198251i | ||||
\(741\) | −2.66500 | − | 8.20204i | −0.0979014 | − | 0.301309i | ||||
\(742\) | −1.59567 | + | 30.5758i | −0.0585790 | + | 1.12247i | ||||
\(743\) | −23.8662 | + | 17.3398i | −0.875568 | + | 0.636137i | −0.932075 | − | 0.362265i | \(-0.882004\pi\) |
0.0565075 | + | 0.998402i | \(0.482004\pi\) | |||||||
\(744\) | −4.73059 | + | 29.9957i | −0.173432 | + | 1.09970i | ||||
\(745\) | 6.04584 | + | 1.96441i | 0.221503 | + | 0.0719706i | ||||
\(746\) | −4.84322 | − | 18.0593i | −0.177323 | − | 0.661197i | ||||
\(747\) | 3.24465 | 0.118716 | ||||||||
\(748\) | −0.108826 | − | 5.28232i | −0.00397906 | − | 0.193141i | ||||
\(749\) | −41.6492 | −1.52183 | ||||||||
\(750\) | 2.33865 | + | 8.72030i | 0.0853955 | + | 0.318420i | ||||
\(751\) | 38.7496 | + | 12.5905i | 1.41399 | + | 0.459435i | 0.913689 | − | 0.406414i | \(-0.133221\pi\) |
0.500306 | + | 0.865849i | \(0.333221\pi\) | |||||||
\(752\) | −10.3428 | + | 9.32918i | −0.377164 | + | 0.340200i | ||||
\(753\) | 14.8340 | − | 10.7775i | 0.540580 | − | 0.392754i | ||||
\(754\) | −0.199434 | + | 3.82148i | −0.00726295 | + | 0.139170i | ||||
\(755\) | 11.7310 | + | 36.1042i | 0.426933 | + | 1.31396i | ||||
\(756\) | −2.74370 | + | 26.2154i | −0.0997876 | + | 0.953445i | ||||
\(757\) | −10.9418 | − | 7.94968i | −0.397686 | − | 0.288936i | 0.370912 | − | 0.928668i | \(-0.379045\pi\) |
−0.768598 | + | 0.639732i | \(0.779045\pi\) | |||||||
\(758\) | −35.8288 | − | 29.0005i | −1.30136 | − | 1.05335i | ||||
\(759\) | −15.4563 | + | 1.94027i | −0.561028 | + | 0.0704274i | ||||
\(760\) | −15.1019 | − | 7.68225i | −0.547802 | − | 0.278664i | ||||
\(761\) | 24.0067 | − | 33.0424i | 0.870241 | − | 1.19778i | −0.108788 | − | 0.994065i | \(-0.534697\pi\) |
0.979029 | − | 0.203720i | \(-0.0653031\pi\) | |||||||
\(762\) | 33.6441 | − | 21.8593i | 1.21880 | − | 0.791878i | ||||
\(763\) | 8.41276 | − | 2.73347i | 0.304562 | − | 0.0989583i | ||||
\(764\) | −5.61807 | + | 6.24501i | −0.203255 | + | 0.225937i | ||||
\(765\) | −0.299057 | − | 0.411616i | −0.0108124 | − | 0.0148820i | ||||
\(766\) | −12.1598 | + | 31.6982i | −0.439351 | + | 1.14530i | ||||
\(767\) | −0.551434 | + | 1.69714i | −0.0199111 | + | 0.0612802i | ||||
\(768\) | 6.01433 | + | 28.0527i | 0.217023 | + | 1.01226i | ||||
\(769\) | 25.8172i | 0.930990i | 0.885050 | + | 0.465495i | \(0.154124\pi\) | ||||
−0.885050 | + | 0.465495i | \(0.845876\pi\) | |||||||
\(770\) | 2.66894 | + | 36.6272i | 0.0961820 | + | 1.31995i | ||||
\(771\) | 1.95064i | 0.0702507i | ||||||||
\(772\) | −32.8237 | − | 14.5968i | −1.18135 | − | 0.525349i | ||||
\(773\) | 9.05979 | − | 27.8832i | 0.325858 | − | 1.00289i | −0.645194 | − | 0.764019i | \(-0.723223\pi\) |
0.971052 | − | 0.238869i | \(-0.0767765\pi\) | |||||||
\(774\) | −1.74625 | − | 0.669881i | −0.0627675 | − | 0.0240784i | ||||
\(775\) | −13.3726 | − | 18.4059i | −0.480360 | − | 0.661158i | ||||
\(776\) | −20.4645 | + | 3.25508i | −0.734632 | + | 0.116851i | ||||
\(777\) | 39.3074 | − | 12.7717i | 1.41014 | − | 0.458184i | ||||
\(778\) | 1.09564 | + | 1.68633i | 0.0392808 | + | 0.0604580i | ||||
\(779\) | 11.5872 | − | 15.9484i | 0.415155 | − | 0.571412i | ||||
\(780\) | −5.27881 | − | 24.7813i | −0.189012 | − | 0.887312i | ||||
\(781\) | 6.98998 | − | 12.6911i | 0.250121 | − | 0.454125i | ||||
\(782\) | −1.85631 | + | 2.29338i | −0.0663816 | + | 0.0820112i | ||||
\(783\) | −4.58956 | − | 3.33451i | −0.164018 | − | 0.119166i | ||||
\(784\) | −0.0141458 | − | 0.133460i | −0.000505208 | − | 0.00476644i | ||||
\(785\) | −19.1706 | − | 59.0011i | −0.684229 | − | 2.10584i | ||||
\(786\) | −23.3872 | − | 1.22052i | −0.834194 | − | 0.0435345i | ||||
\(787\) | −26.4789 | + | 19.2380i | −0.943870 | + | 0.685762i | −0.949349 | − | 0.314223i | \(-0.898256\pi\) |
0.00547927 | + | 0.999985i | \(0.498256\pi\) | |||||||
\(788\) | −7.37192 | − | 12.7556i | −0.262614 | − | 0.454399i | ||||
\(789\) | 42.2654 | + | 13.7329i | 1.50469 | + | 0.488903i | ||||
\(790\) | −10.9166 | + | 2.92768i | −0.388397 | + | 0.104162i | ||||
\(791\) | 6.31699 | 0.224606 | ||||||||
\(792\) | −1.13519 | − | 1.67084i | −0.0403373 | − | 0.0593706i | ||||
\(793\) | −15.0660 | −0.535009 | ||||||||
\(794\) | −12.1002 | + | 3.24507i | −0.429418 | + | 0.115163i | ||||
\(795\) | 41.4957 | + | 13.4828i | 1.47170 | + | 0.478185i | ||||
\(796\) | 21.3800 | + | 36.9937i | 0.757793 | + | 1.31121i | ||||
\(797\) | 20.0226 | − | 14.5473i | 0.709237 | − | 0.515291i | −0.173691 | − | 0.984800i | \(-0.555569\pi\) |
0.882927 | + | 0.469510i | \(0.155569\pi\) | |||||||
\(798\) | 13.4979 | + | 0.704420i | 0.477819 | + | 0.0249362i | ||||
\(799\) | −0.857081 | − | 2.63782i | −0.0303213 | − | 0.0933195i | ||||
\(800\) | −18.0401 | − | 11.6872i | −0.637813 | − | 0.413205i | ||||
\(801\) | 0.740591 | + | 0.538071i | 0.0261675 | + | 0.0190118i | ||||
\(802\) | −24.0876 | + | 29.7591i | −0.850563 | + | 1.05083i | ||||
\(803\) | −2.01700 | − | 2.15126i | −0.0711782 | − | 0.0759163i | ||||
\(804\) | 4.03961 | + | 18.9639i | 0.142466 | + | 0.668805i | ||||
\(805\) | 12.0546 | − | 16.5917i | 0.424869 | − | 0.584782i | ||||
\(806\) | −10.9872 | − | 16.9107i | −0.387008 | − | 0.595653i | ||||
\(807\) | 28.8197 | − | 9.36408i | 1.01450 | − | 0.329631i | ||||
\(808\) | 2.38446 | + | 14.9909i | 0.0838849 | + | 0.527379i | ||||
\(809\) | 2.34414 | + | 3.22643i | 0.0824156 | + | 0.113435i | 0.848234 | − | 0.529621i | \(-0.177666\pi\) |
−0.765819 | + | 0.643057i | \(0.777666\pi\) | |||||||
\(810\) | 37.6006 | + | 14.4240i | 1.32115 | + | 0.506809i | ||||
\(811\) | 3.43204 | − | 10.5627i | 0.120515 | − | 0.370908i | −0.872542 | − | 0.488539i | \(-0.837530\pi\) |
0.993057 | + | 0.117631i | \(0.0375300\pi\) | |||||||
\(812\) | −5.47997 | − | 2.43695i | −0.192309 | − | 0.0855203i | ||||
\(813\) | − | 23.3286i | − | 0.818169i | ||||||
\(814\) | 21.6038 | − | 34.7994i | 0.757212 | − | 1.21972i | ||||
\(815\) | 16.2291i | 0.568482i | ||||||||
\(816\) | −5.58918 | − | 1.18289i | −0.195661 | − | 0.0414093i | ||||
\(817\) | 3.83265 | − | 11.7957i | 0.134087 | − | 0.412678i | ||||
\(818\) | 14.5721 | − | 37.9865i | 0.509501 | − | 1.32817i | ||||
\(819\) | 0.795633 | + | 1.09509i | 0.0278017 | + | 0.0382657i | ||||
\(820\) | 38.7350 | − | 43.0576i | 1.35269 | − | 1.50364i | ||||
\(821\) | −32.8383 | + | 10.6698i | −1.14607 | + | 0.372379i | −0.819660 | − | 0.572851i | \(-0.805837\pi\) |
−0.326405 | + | 0.945230i | \(0.605837\pi\) | |||||||
\(822\) | −32.3598 | + | 21.0248i | −1.12868 | + | 0.733323i | ||||
\(823\) | −3.28247 | + | 4.51793i | −0.114420 | + | 0.157485i | −0.862386 | − | 0.506252i | \(-0.831031\pi\) |
0.747966 | + | 0.663737i | \(0.231031\pi\) | |||||||
\(824\) | −13.7765 | + | 27.0820i | −0.479927 | + | 0.943446i | ||||
\(825\) | 22.1945 | + | 4.25187i | 0.772713 | + | 0.148031i | ||||
\(826\) | −2.17386 | − | 1.75957i | −0.0756382 | − | 0.0612231i | ||||
\(827\) | 19.3420 | + | 14.0528i | 0.672586 | + | 0.488662i | 0.870890 | − | 0.491479i | \(-0.163543\pi\) |
−0.198304 | + | 0.980141i | \(0.563543\pi\) | |||||||
\(828\) | −0.117421 | + | 1.12193i | −0.00408065 | + | 0.0389896i | ||||
\(829\) | 9.07004 | + | 27.9147i | 0.315015 | + | 0.969518i | 0.975748 | + | 0.218896i | \(0.0702457\pi\) |
−0.660733 | + | 0.750621i | \(0.729754\pi\) | |||||||
\(830\) | −3.29449 | + | 63.1279i | −0.114353 | + | 2.19120i | ||||
\(831\) | 38.5269 | − | 27.9914i | 1.33648 | − | 0.971013i | ||||
\(832\) | −15.4292 | − | 11.1789i | −0.534911 | − | 0.387560i | ||||
\(833\) | 0.0254165 | + | 0.00825831i | 0.000880628 | + | 0.000286133i | ||||
\(834\) | 3.64005 | + | 13.5729i | 0.126045 | + | 0.469992i | ||||
\(835\) | −3.98887 | −0.138041 | ||||||||
\(836\) | 10.6725 | − | 8.09503i | 0.369114 | − | 0.279972i | ||||
\(837\) | 29.8967 | 1.03338 | ||||||||
\(838\) | −9.71447 | − | 36.2231i | −0.335581 | − | 1.25131i | ||||
\(839\) | −28.4158 | − | 9.23286i | −0.981023 | − | 0.318754i | −0.225766 | − | 0.974182i | \(-0.572488\pi\) |
−0.755258 | + | 0.655428i | \(0.772488\pi\) | |||||||
\(840\) | 39.2252 | + | 6.18617i | 1.35340 | + | 0.213443i | ||||
\(841\) | −22.4172 | + | 16.2871i | −0.773008 | + | 0.561623i | ||||
\(842\) | −0.662938 | + | 12.7030i | −0.0228464 | + | 0.437774i | ||||
\(843\) | −17.8982 | − | 55.0851i | −0.616448 | − | 1.89723i | ||||
\(844\) | −46.5193 | − | 4.86872i | −1.60126 | − | 0.167588i | ||||
\(845\) | −17.5857 | − | 12.7768i | −0.604968 | − | 0.439535i | ||||
\(846\) | −0.824237 | − | 0.667154i | −0.0283378 | − | 0.0229372i | ||||
\(847\) | −26.9778 | − | 10.7303i | −0.926968 | − | 0.368696i | ||||
\(848\) | 29.9617 | − | 13.3714i | 1.02889 | − | 0.459175i | ||||
\(849\) | −26.5434 | + | 36.5339i | −0.910968 | + | 1.25384i | ||||
\(850\) | 3.58919 | − | 2.33197i | 0.123108 | − | 0.0799859i | ||||
\(851\) | −21.7544 | + | 7.06843i | −0.745731 | + | 0.242303i | ||||
\(852\) | −11.6473 | − | 10.4780i | −0.399028 | − | 0.358969i | ||||
\(853\) | −4.89534 | − | 6.73786i | −0.167613 | − | 0.230700i | 0.716945 | − | 0.697130i | \(-0.245540\pi\) |
−0.884558 | + | 0.466430i | \(0.845540\pi\) | |||||||
\(854\) | 8.45704 | − | 22.0458i | 0.289394 | − | 0.754392i | ||||
\(855\) | 0.398611 | − | 1.22680i | 0.0136322 | − | 0.0419556i | ||||
\(856\) | 20.2887 | + | 39.7540i | 0.693453 | + | 1.35876i | ||||
\(857\) | 51.9385i | 1.77418i | 0.461593 | + | 0.887092i | \(0.347278\pi\) | ||||
−0.461593 | + | 0.887092i | \(0.652722\pi\) | |||||||
\(858\) | 19.4502 | + | 4.78907i | 0.664018 | + | 0.163496i | ||||
\(859\) | 16.3808i | 0.558906i | 0.960159 | + | 0.279453i | \(0.0901531\pi\) | ||||
−0.960159 | + | 0.279453i | \(0.909847\pi\) | |||||||
\(860\) | 14.8063 | − | 33.2948i | 0.504889 | − | 1.13534i | ||||
\(861\) | −14.2771 | + | 43.9403i | −0.486561 | + | 1.49748i | ||||
\(862\) | −35.7667 | − | 13.7205i | −1.21822 | − | 0.467324i | ||||
\(863\) | 7.65269 | + | 10.5330i | 0.260501 | + | 0.358548i | 0.919154 | − | 0.393898i | \(-0.128874\pi\) |
−0.658654 | + | 0.752446i | \(0.728874\pi\) | |||||||
\(864\) | 26.3590 | − | 10.1515i | 0.896753 | − | 0.345362i | ||||
\(865\) | −22.3500 | + | 7.26194i | −0.759922 | + | 0.246913i | ||||
\(866\) | 13.1449 | + | 20.2316i | 0.446681 | + | 0.687498i | ||||
\(867\) | −17.2490 | + | 23.7412i | −0.585805 | + | 0.806292i | ||||
\(868\) | 30.9126 | − | 6.58488i | 1.04924 | − | 0.223505i | ||||
\(869\) | 1.68122 | − | 8.77585i | 0.0570314 | − | 0.297700i | ||||
\(870\) | −5.37707 | + | 6.64311i | −0.182300 | + | 0.225223i | ||||
\(871\) | −10.4174 | − | 7.56868i | −0.352980 | − | 0.256455i | ||||
\(872\) | −6.70722 | − | 6.69838i | −0.227135 | − | 0.226836i | ||||
\(873\) | −0.487496 | − | 1.50036i | −0.0164993 | − | 0.0507795i | ||||
\(874\) | −7.47030 | − | 0.389857i | −0.252687 | − | 0.0131871i | ||||
\(875\) | 7.60237 | − | 5.52344i | 0.257007 | − | 0.186726i | ||||
\(876\) | −2.76078 | + | 1.59555i | −0.0932780 | + | 0.0539088i | ||||
\(877\) | −4.83365 | − | 1.57055i | −0.163221 | − | 0.0530337i | 0.226267 | − | 0.974065i | \(-0.427348\pi\) |
−0.389488 | + | 0.921032i | \(0.627348\pi\) | |||||||
\(878\) | 28.1869 | − | 7.55929i | 0.951261 | − | 0.255114i | ||||
\(879\) | −2.33376 | −0.0787156 | ||||||||
\(880\) | 33.6604 | − | 20.3898i | 1.13469 | − | 0.687340i | ||||
\(881\) | 16.3529 | 0.550942 | 0.275471 | − | 0.961309i | \(-0.411166\pi\) | ||||
0.275471 | + | 0.961309i | \(0.411166\pi\) | |||||||
\(882\) | 0.00986869 | − | 0.00264663i | 0.000332296 | − | 8.91168e-5i | ||||
\(883\) | 22.9941 | + | 7.47123i | 0.773812 | + | 0.251427i | 0.669196 | − | 0.743086i | \(-0.266639\pi\) |
0.104616 | + | 0.994513i | \(0.466639\pi\) | |||||||
\(884\) | 3.28489 | − | 1.89846i | 0.110483 | − | 0.0638520i | ||||
\(885\) | −3.22432 | + | 2.34261i | −0.108384 | + | 0.0787458i | ||||
\(886\) | −56.9379 | − | 2.97145i | −1.91287 | − | 0.0998277i | ||||
\(887\) | 6.66651 | + | 20.5174i | 0.223839 | + | 0.688907i | 0.998407 | + | 0.0564163i | \(0.0179674\pi\) |
−0.774568 | + | 0.632491i | \(0.782033\pi\) | |||||||
\(888\) | −31.3385 | − | 31.2972i | −1.05165 | − | 1.05027i | ||||
\(889\) | −33.7843 | − | 24.5458i | −1.13309 | − | 0.823238i | ||||
\(890\) | −11.2207 | + | 13.8626i | −0.376118 | + | 0.464675i | ||||
\(891\) | −23.2263 | + | 21.7766i | −0.778109 | + | 0.729545i | ||||
\(892\) | 5.04921 | − | 1.07556i | 0.169060 | − | 0.0360124i | ||||
\(893\) | 4.13323 | − | 5.68891i | 0.138313 | − | 0.190372i | ||||
\(894\) | 2.96072 | + | 4.55692i | 0.0990213 | + | 0.152406i | ||||
\(895\) | −72.5990 | + | 23.5888i | −2.42672 | + | 0.788488i | ||||
\(896\) | 25.0189 | − | 16.3022i | 0.835822 | − | 0.544618i | ||||
\(897\) | −6.57512 | − | 9.04988i | −0.219537 | − | 0.302167i | ||||
\(898\) | −24.0178 | − | 9.21352i | −0.801485 | − | 0.307459i | ||||
\(899\) | −2.10206 | + | 6.46949i | −0.0701077 | + | 0.215769i | ||||
\(900\) | 0.664943 | − | 1.49526i | 0.0221648 | − | 0.0498418i | ||||
\(901\) | 6.53337i | 0.217658i | ||||||||
\(902\) | 17.2766 | + | 42.4033i | 0.575246 | + | 1.41188i | ||||
\(903\) | 29.0678i | 0.967317i | ||||||||
\(904\) | −3.07721 | − | 6.02955i | −0.102347 | − | 0.200540i | ||||
\(905\) | −12.2852 | + | 37.8099i | −0.408373 | + | 1.25684i | ||||
\(906\) | −11.6231 | + | 30.2991i | −0.386152 | + | 1.00662i | ||||
\(907\) | −10.1707 | − | 13.9988i | −0.337713 | − | 0.464822i | 0.606059 | − | 0.795420i | \(-0.292750\pi\) |
−0.943772 | + | 0.330598i | \(0.892750\pi\) | |||||||
\(908\) | 3.16536 | + | 2.84758i | 0.105046 | + | 0.0945003i | ||||
\(909\) | −1.09906 | + | 0.357108i | −0.0364537 | + | 0.0118445i | ||||
\(910\) | −22.1140 | + | 14.3679i | −0.733072 | + | 0.476291i | ||||
\(911\) | 32.7109 | − | 45.0227i | 1.08376 | − | 1.49167i | 0.228450 | − | 0.973556i | \(-0.426634\pi\) |
0.855311 | − | 0.518114i | \(-0.173366\pi\) | |||||||
\(912\) | −5.90289 | − | 13.2268i | −0.195464 | − | 0.437983i | ||||
\(913\) | −43.7749 | − | 24.1102i | −1.44874 | − | 0.797930i | ||||
\(914\) | −18.4574 | − | 14.9398i | −0.610518 | − | 0.494165i | ||||
\(915\) | −27.2223 | − | 19.7781i | −0.899940 | − | 0.653845i | ||||
\(916\) | 25.2253 | + | 2.64009i | 0.833469 | + | 0.0872309i | ||||
\(917\) | 7.53233 | + | 23.1821i | 0.248739 | + | 0.765541i | ||||
\(918\) | −0.293135 | + | 5.61695i | −0.00967489 | + | 0.185387i | ||||
\(919\) | 28.3368 | − | 20.5879i | 0.934745 | − | 0.679132i | −0.0124049 | − | 0.999923i | \(-0.503949\pi\) |
0.947150 | + | 0.320791i | \(0.103949\pi\) | |||||||
\(920\) | −21.7089 | − | 3.42369i | −0.715723 | − | 0.112876i | ||||
\(921\) | 7.15081 | + | 2.32344i | 0.235627 | + | 0.0765599i | ||||
\(922\) | −5.40396 | − | 20.1501i | −0.177970 | − | 0.663609i | ||||
\(923\) | 10.4044 | 0.342464 | ||||||||
\(924\) | −17.9258 | + | 25.7729i | −0.589716 | + | 0.847865i | ||||
\(925\) | 33.1827 | 1.09104 | ||||||||
\(926\) | 9.62214 | + | 35.8788i | 0.316203 | + | 1.17905i | ||||
\(927\) | −2.20000 | − | 0.714824i | −0.0722576 | − | 0.0234779i | ||||
\(928\) | 0.343408 | + | 6.41773i | 0.0112729 | + | 0.210672i | ||||
\(929\) | 37.0672 | − | 26.9309i | 1.21613 | − | 0.883574i | 0.220362 | − | 0.975418i | \(-0.429276\pi\) |
0.995773 | + | 0.0918445i | \(0.0292763\pi\) | |||||||
\(930\) | 2.34734 | − | 44.9791i | 0.0769725 | − | 1.47492i | ||||
\(931\) | 0.0209374 | + | 0.0644387i | 0.000686196 | + | 0.00211189i | ||||
\(932\) | 0.807909 | − | 7.71937i | 0.0264639 | − | 0.252856i | ||||
\(933\) | −22.6293 | − | 16.4411i | −0.740849 | − | 0.538258i | ||||
\(934\) | 3.23660 | + | 2.61977i | 0.105905 | + | 0.0857215i | ||||
\(935\) | 0.976078 | + | 7.77549i | 0.0319212 | + | 0.254286i | ||||
\(936\) | 0.657685 | − | 1.29289i | 0.0214971 | − | 0.0422593i | ||||
\(937\) | −30.9847 | + | 42.6468i | −1.01223 | + | 1.39321i | −0.0947149 | + | 0.995504i | \(0.530194\pi\) |
−0.917512 | + | 0.397707i | \(0.869806\pi\) | |||||||
\(938\) | 16.9228 | − | 10.9951i | 0.552548 | − | 0.359001i | ||||
\(939\) | −46.0690 | + | 14.9687i | −1.50340 | + | 0.488485i | ||||
\(940\) | 13.8170 | − | 15.3589i | 0.450662 | − | 0.500953i | ||||
\(941\) | 29.9579 | + | 41.2335i | 0.976599 | + | 1.34417i | 0.938642 | + | 0.344893i | \(0.112085\pi\) |
0.0379566 | + | 0.999279i | \(0.487915\pi\) | |||||||
\(942\) | 18.9944 | − | 49.5146i | 0.618871 | − | 1.61327i | ||||
\(943\) | 7.90155 | − | 24.3185i | 0.257310 | − | 0.791919i | ||||
\(944\) | −0.620541 | + | 2.93208i | −0.0201969 | + | 0.0954312i | ||||
\(945\) | − | 39.0957i | − | 1.27178i | ||||||
\(946\) | 18.5816 | + | 22.0135i | 0.604140 | + | 0.715722i | ||||
\(947\) | 0.329006i | 0.0106913i | 0.999986 | + | 0.00534564i | \(0.00170158\pi\) | ||||
−0.999986 | + | 0.00534564i | \(0.998298\pi\) | |||||||
\(948\) | −8.82830 | − | 3.92597i | −0.286730 | − | 0.127509i | ||||
\(949\) | 0.654381 | − | 2.01398i | 0.0212421 | − | 0.0653765i | ||||
\(950\) | 10.1318 | + | 3.88669i | 0.328720 | + | 0.126101i | ||||
\(951\) | −1.98193 | − | 2.72789i | −0.0642685 | − | 0.0884580i | ||||
\(952\) | 0.934064 | + | 5.87240i | 0.0302732 | + | 0.190325i | ||||
\(953\) | 11.1771 | − | 3.63167i | 0.362063 | − | 0.117641i | −0.122336 | − | 0.992489i | \(-0.539038\pi\) |
0.484399 | + | 0.874847i | \(0.339038\pi\) | |||||||
\(954\) | 1.36090 | + | 2.09459i | 0.0440607 | + | 0.0678149i | ||||
\(955\) | 7.32341 | − | 10.0798i | 0.236980 | − | 0.326175i | ||||
\(956\) | −6.09617 | − | 28.6184i | −0.197164 | − | 0.925585i | ||||
\(957\) | −2.87208 | − | 6.11592i | −0.0928411 | − | 0.197700i | ||||
\(958\) | −2.45730 | + | 3.03588i | −0.0793919 | + | 0.0980849i | ||||
\(959\) | 32.4946 | + | 23.6087i | 1.04931 | + | 0.762365i | ||||
\(960\) | −13.2032 | − | 40.4538i | −0.426132 | − | 1.30564i | ||||
\(961\) | −1.49831 | − | 4.61132i | −0.0483326 | − | 0.148752i | ||||
\(962\) | 29.3734 | + | 1.53292i | 0.947036 | + | 0.0494234i | ||||
\(963\) | −2.74895 | + | 1.99723i | −0.0885837 | + | 0.0643598i | ||||
\(964\) | 18.4468 | + | 31.9185i | 0.594132 | + | 1.02802i | ||||
\(965\) | 50.6740 | + | 16.4650i | 1.63125 | + | 0.530027i | ||||
\(966\) | 16.9334 | − | 4.54127i | 0.544822 | − | 0.146113i | ||||
\(967\) | 41.0543 | 1.32022 | 0.660108 | − | 0.751170i | \(-0.270510\pi\) | ||||
0.660108 | + | 0.751170i | \(0.270510\pi\) | |||||||
\(968\) | 2.89979 | + | 30.9773i | 0.0932027 | + | 0.995647i | ||||
\(969\) | 2.88420 | 0.0926538 | ||||||||
\(970\) | 29.6860 | − | 7.96132i | 0.953158 | − | 0.255622i | ||||
\(971\) | −27.5403 | − | 8.94840i | −0.883812 | − | 0.287168i | −0.168273 | − | 0.985740i | \(-0.553819\pi\) |
−0.715539 | + | 0.698573i | \(0.753819\pi\) | |||||||
\(972\) | 2.23527 | + | 3.86767i | 0.0716963 | + | 0.124056i | ||||
\(973\) | 11.8329 | − | 8.59710i | 0.379345 | − | 0.275611i | ||||
\(974\) | −3.75148 | − | 0.195780i | −0.120205 | − | 0.00627321i | ||||
\(975\) | 5.01462 | + | 15.4334i | 0.160596 | + | 0.494265i | ||||
\(976\) | −25.1623 | + | 2.66702i | −0.805427 | + | 0.0853694i | ||||
\(977\) | 11.2540 | + | 8.17652i | 0.360048 | + | 0.261590i | 0.753072 | − | 0.657938i | \(-0.228571\pi\) |
−0.393024 | + | 0.919528i | \(0.628571\pi\) | |||||||
\(978\) | −8.72852 | + | 10.7837i | −0.279107 | + | 0.344824i | ||||
\(979\) | −5.99334 | − | 12.7625i | −0.191548 | − | 0.407891i | ||||
\(980\) | 0.0414726 | + | 0.194692i | 0.00132479 | + | 0.00621922i | ||||
\(981\) | 0.424183 | − | 0.583837i | 0.0135431 | − | 0.0186405i | ||||
\(982\) | 16.0920 | + | 24.7676i | 0.513517 | + | 0.790367i | ||||
\(983\) | −27.6107 | + | 8.97125i | −0.880643 | + | 0.286138i | −0.714224 | − | 0.699917i | \(-0.753220\pi\) |
−0.166419 | + | 0.986055i | \(0.553220\pi\) | |||||||
\(984\) | 48.8957 | − | 7.77735i | 1.55874 | − | 0.247933i | ||||
\(985\) | 12.8442 | + | 17.6785i | 0.409249 | + | 0.563283i | ||||
\(986\) | −1.19487 | − | 0.458367i | −0.0380524 | − | 0.0145974i | ||||
\(987\) | −5.09272 | + | 15.6738i | −0.162103 | + | 0.498902i | ||||
\(988\) | 8.78917 | + | 3.90856i | 0.279621 | + | 0.124348i | ||||
\(989\) | − | 16.0874i | − | 0.511550i | ||||||
\(990\) | 1.93256 | + | 2.28950i | 0.0614209 | + | 0.0727651i | ||||
\(991\) | − | 32.0157i | − | 1.01701i | −0.861058 | − | 0.508506i | \(-0.830198\pi\) | ||
0.861058 | − | 0.508506i | \(-0.169802\pi\) | |||||||
\(992\) | −21.3438 | − | 26.2983i | −0.677666 | − | 0.834971i | ||||
\(993\) | 1.30362 | − | 4.01212i | 0.0413690 | − | 0.127321i | ||||
\(994\) | −5.84032 | + | 15.2246i | −0.185244 | + | 0.482894i | ||||
\(995\) | −37.2505 | − | 51.2709i | −1.18092 | − | 1.62540i | ||||
\(996\) | −36.1411 | + | 40.1743i | −1.14518 | + | 1.27297i | ||||
\(997\) | 25.6889 | − | 8.34683i | 0.813575 | − | 0.264347i | 0.127464 | − | 0.991843i | \(-0.459316\pi\) |
0.686111 | + | 0.727497i | \(0.259316\pi\) | |||||||
\(998\) | 5.59026 | − | 3.63210i | 0.176956 | − | 0.114972i | ||||
\(999\) | −25.6303 | + | 35.2771i | −0.810908 | + | 1.11612i |
(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 | 44.2.g.a.7.4 | yes | 16 | |
3.2 | odd | 2 | 396.2.r.a.271.1 | 16 | |||
4.3 | odd | 2 | inner | 44.2.g.a.7.2 | ✓ | 16 | |
8.3 | odd | 2 | 704.2.u.c.447.1 | 16 | |||
8.5 | even | 2 | 704.2.u.c.447.4 | 16 | |||
11.2 | odd | 10 | 484.2.g.j.215.4 | 16 | |||
11.3 | even | 5 | 484.2.g.i.239.3 | 16 | |||
11.4 | even | 5 | 484.2.g.j.475.3 | 16 | |||
11.5 | even | 5 | 484.2.c.d.483.6 | 16 | |||
11.6 | odd | 10 | 484.2.c.d.483.11 | 16 | |||
11.7 | odd | 10 | 484.2.g.f.475.2 | 16 | |||
11.8 | odd | 10 | inner | 44.2.g.a.19.2 | yes | 16 | |
11.9 | even | 5 | 484.2.g.f.215.1 | 16 | |||
11.10 | odd | 2 | 484.2.g.i.403.1 | 16 | |||
12.11 | even | 2 | 396.2.r.a.271.3 | 16 | |||
33.8 | even | 10 | 396.2.r.a.19.3 | 16 | |||
44.3 | odd | 10 | 484.2.g.i.239.1 | 16 | |||
44.7 | even | 10 | 484.2.g.f.475.1 | 16 | |||
44.15 | odd | 10 | 484.2.g.j.475.4 | 16 | |||
44.19 | even | 10 | inner | 44.2.g.a.19.4 | yes | 16 | |
44.27 | odd | 10 | 484.2.c.d.483.12 | 16 | |||
44.31 | odd | 10 | 484.2.g.f.215.2 | 16 | |||
44.35 | even | 10 | 484.2.g.j.215.3 | 16 | |||
44.39 | even | 10 | 484.2.c.d.483.5 | 16 | |||
44.43 | even | 2 | 484.2.g.i.403.3 | 16 | |||
88.19 | even | 10 | 704.2.u.c.63.4 | 16 | |||
88.85 | odd | 10 | 704.2.u.c.63.1 | 16 | |||
132.107 | odd | 10 | 396.2.r.a.19.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
44.2.g.a.7.2 | ✓ | 16 | 4.3 | odd | 2 | inner | |
44.2.g.a.7.4 | yes | 16 | 1.1 | even | 1 | trivial | |
44.2.g.a.19.2 | yes | 16 | 11.8 | odd | 10 | inner | |
44.2.g.a.19.4 | yes | 16 | 44.19 | even | 10 | inner | |
396.2.r.a.19.1 | 16 | 132.107 | odd | 10 | |||
396.2.r.a.19.3 | 16 | 33.8 | even | 10 | |||
396.2.r.a.271.1 | 16 | 3.2 | odd | 2 | |||
396.2.r.a.271.3 | 16 | 12.11 | even | 2 | |||
484.2.c.d.483.5 | 16 | 44.39 | even | 10 | |||
484.2.c.d.483.6 | 16 | 11.5 | even | 5 | |||
484.2.c.d.483.11 | 16 | 11.6 | odd | 10 | |||
484.2.c.d.483.12 | 16 | 44.27 | odd | 10 | |||
484.2.g.f.215.1 | 16 | 11.9 | even | 5 | |||
484.2.g.f.215.2 | 16 | 44.31 | odd | 10 | |||
484.2.g.f.475.1 | 16 | 44.7 | even | 10 | |||
484.2.g.f.475.2 | 16 | 11.7 | odd | 10 | |||
484.2.g.i.239.1 | 16 | 44.3 | odd | 10 | |||
484.2.g.i.239.3 | 16 | 11.3 | even | 5 | |||
484.2.g.i.403.1 | 16 | 11.10 | odd | 2 | |||
484.2.g.i.403.3 | 16 | 44.43 | even | 2 | |||
484.2.g.j.215.3 | 16 | 44.35 | even | 10 | |||
484.2.g.j.215.4 | 16 | 11.2 | odd | 10 | |||
484.2.g.j.475.3 | 16 | 11.4 | even | 5 | |||
484.2.g.j.475.4 | 16 | 44.15 | odd | 10 | |||
704.2.u.c.63.1 | 16 | 88.85 | odd | 10 | |||
704.2.u.c.63.4 | 16 | 88.19 | even | 10 | |||
704.2.u.c.447.1 | 16 | 8.3 | odd | 2 | |||
704.2.u.c.447.4 | 16 | 8.5 | even | 2 |