Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(23,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.x (of order \(12\), 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: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 23.5 | ||
Character | \(\chi\) | \(=\) | 210.23 |
Dual form | 210.2.x.a.137.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 0.378582 | − | 1.69017i | 0.218574 | − | 0.975820i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 2.16375 | − | 0.564071i | 0.967659 | − | 0.252260i | ||||
\(6\) | 0.0717662 | + | 1.73056i | 0.0292984 | + | 0.706500i | ||||
\(7\) | 0.113038 | − | 2.64334i | 0.0427245 | − | 0.999087i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −2.71335 | − | 1.27974i | −0.904450 | − | 0.426579i | ||||
\(10\) | −1.94403 | + | 1.10487i | −0.614757 | + | 0.349391i | ||||
\(11\) | −3.54004 | + | 2.04384i | −1.06736 | + | 0.616242i | −0.927459 | − | 0.373924i | \(-0.878012\pi\) |
−0.139902 | + | 0.990165i | \(0.544679\pi\) | |||||||
\(12\) | −0.517224 | − | 1.65302i | −0.149310 | − | 0.477186i | ||||
\(13\) | 3.69641 | + | 3.69641i | 1.02520 | + | 1.02520i | 0.999674 | + | 0.0255244i | \(0.00812556\pi\) |
0.0255244 | + | 0.999674i | \(0.491874\pi\) | |||||||
\(14\) | 0.574959 | + | 2.58252i | 0.153664 | + | 0.690208i | ||||
\(15\) | −0.134219 | − | 3.87066i | −0.0346553 | − | 0.999399i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.93133 | − | 7.20783i | 0.468417 | − | 1.74816i | −0.176888 | − | 0.984231i | \(-0.556603\pi\) |
0.645305 | − | 0.763925i | \(-0.276730\pi\) | |||||||
\(18\) | 2.95212 | + | 0.533863i | 0.695820 | + | 0.125833i | ||||
\(19\) | −2.12380 | − | 1.22618i | −0.487234 | − | 0.281305i | 0.236192 | − | 0.971706i | \(-0.424101\pi\) |
−0.723426 | + | 0.690402i | \(0.757434\pi\) | |||||||
\(20\) | 1.59183 | − | 1.57038i | 0.355944 | − | 0.351147i | ||||
\(21\) | −4.42489 | − | 1.19177i | −0.965591 | − | 0.260066i | ||||
\(22\) | 2.89043 | − | 2.89043i | 0.616242 | − | 0.616242i | ||||
\(23\) | −0.284603 | − | 1.06215i | −0.0593438 | − | 0.221474i | 0.929885 | − | 0.367850i | \(-0.119906\pi\) |
−0.989229 | + | 0.146376i | \(0.953239\pi\) | |||||||
\(24\) | 0.927433 | + | 1.46283i | 0.189311 | + | 0.298599i | ||||
\(25\) | 4.36365 | − | 2.44102i | 0.872729 | − | 0.488204i | ||||
\(26\) | −4.52715 | − | 2.61375i | −0.887848 | − | 0.512599i | ||||
\(27\) | −3.19020 | + | 4.10154i | −0.613954 | + | 0.789342i | ||||
\(28\) | −1.22377 | − | 2.34571i | −0.231271 | − | 0.443298i | ||||
\(29\) | 1.48870 | 0.276444 | 0.138222 | − | 0.990401i | \(-0.455861\pi\) | ||||
0.138222 | + | 0.990401i | \(0.455861\pi\) | |||||||
\(30\) | 1.13145 | + | 3.70403i | 0.206573 | + | 0.676260i | ||||
\(31\) | 2.62194 | + | 4.54133i | 0.470914 | + | 0.815647i | 0.999447 | − | 0.0332663i | \(-0.0105909\pi\) |
−0.528533 | + | 0.848913i | \(0.677258\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 2.11425 | + | 6.75703i | 0.368043 | + | 1.17625i | ||||
\(34\) | 7.46210i | 1.27974i | ||||||||
\(35\) | −1.24644 | − | 5.78328i | −0.210687 | − | 0.977554i | ||||
\(36\) | −2.98970 | + | 0.248392i | −0.498283 | + | 0.0413987i | ||||
\(37\) | 1.43087 | + | 5.34010i | 0.235234 | + | 0.877906i | 0.978043 | + | 0.208403i | \(0.0668265\pi\) |
−0.742809 | + | 0.669504i | \(0.766507\pi\) | |||||||
\(38\) | 2.36880 | + | 0.634717i | 0.384269 | + | 0.102965i | ||||
\(39\) | 7.64695 | − | 4.84816i | 1.22449 | − | 0.776328i | ||||
\(40\) | −1.13115 | + | 1.92886i | −0.178850 | + | 0.304980i | ||||
\(41\) | 6.74278i | 1.05305i | 0.850161 | + | 0.526523i | \(0.176505\pi\) | ||||
−0.850161 | + | 0.526523i | \(0.823495\pi\) | |||||||
\(42\) | 4.58257 | + | 0.00591784i | 0.707106 | + | 0.000913142i | ||||
\(43\) | 1.27352 | + | 1.27352i | 0.194209 | + | 0.194209i | 0.797512 | − | 0.603303i | \(-0.206149\pi\) |
−0.603303 | + | 0.797512i | \(0.706149\pi\) | |||||||
\(44\) | −2.04384 | + | 3.54004i | −0.308121 | + | 0.533681i | ||||
\(45\) | −6.59288 | − | 1.23851i | −0.982809 | − | 0.184626i | ||||
\(46\) | 0.549811 | + | 0.952300i | 0.0810651 | + | 0.140409i | ||||
\(47\) | −2.97410 | + | 0.796909i | −0.433818 | + | 0.116241i | −0.469118 | − | 0.883136i | \(-0.655428\pi\) |
0.0353000 | + | 0.999377i | \(0.488761\pi\) | |||||||
\(48\) | −1.27444 | − | 1.17295i | −0.183949 | − | 0.169300i | ||||
\(49\) | −6.97444 | − | 0.597597i | −0.996349 | − | 0.0853710i | ||||
\(50\) | −3.58318 | + | 3.48724i | −0.506738 | + | 0.493170i | ||||
\(51\) | −11.4513 | − | 5.99303i | −1.60350 | − | 0.839193i | ||||
\(52\) | 5.04938 | + | 1.35298i | 0.700224 | + | 0.187624i | ||||
\(53\) | 5.50634 | + | 1.47542i | 0.756355 | + | 0.202665i | 0.616335 | − | 0.787484i | \(-0.288617\pi\) |
0.140020 | + | 0.990149i | \(0.455283\pi\) | |||||||
\(54\) | 2.01994 | − | 4.78747i | 0.274879 | − | 0.651492i | ||||
\(55\) | −6.50689 | + | 6.41920i | −0.877389 | + | 0.865565i | ||||
\(56\) | 1.78919 | + | 1.94905i | 0.239091 | + | 0.260453i | ||||
\(57\) | −2.87649 | + | 3.12538i | −0.381000 | + | 0.413967i | ||||
\(58\) | −1.43797 | + | 0.385303i | −0.188815 | + | 0.0505928i | ||||
\(59\) | 5.09134 | + | 8.81846i | 0.662836 | + | 1.14807i | 0.979867 | + | 0.199651i | \(0.0639808\pi\) |
−0.317031 | + | 0.948415i | \(0.602686\pi\) | |||||||
\(60\) | −2.05157 | − | 3.28498i | −0.264856 | − | 0.424089i | ||||
\(61\) | −0.814929 | + | 1.41150i | −0.104341 | + | 0.180724i | −0.913469 | − | 0.406909i | \(-0.866607\pi\) |
0.809128 | + | 0.587633i | \(0.199940\pi\) | |||||||
\(62\) | −3.70798 | − | 3.70798i | −0.470914 | − | 0.470914i | ||||
\(63\) | −3.68948 | + | 7.02764i | −0.464831 | + | 0.885399i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 10.0831 | + | 5.91307i | 1.25066 | + | 0.733426i | ||||
\(66\) | −3.79105 | − | 5.97958i | −0.466646 | − | 0.736036i | ||||
\(67\) | −3.39341 | − | 0.909261i | −0.414571 | − | 0.111084i | 0.0455037 | − | 0.998964i | \(-0.485511\pi\) |
−0.460075 | + | 0.887880i | \(0.652177\pi\) | |||||||
\(68\) | −1.93133 | − | 7.20783i | −0.234208 | − | 0.874078i | ||||
\(69\) | −1.90296 | + | 0.0789157i | −0.229090 | + | 0.00950033i | ||||
\(70\) | 2.70080 | + | 5.26362i | 0.322807 | + | 0.629123i | ||||
\(71\) | − | 5.89777i | − | 0.699937i | −0.936761 | − | 0.349969i | \(-0.886192\pi\) | ||
0.936761 | − | 0.349969i | \(-0.113808\pi\) | |||||||
\(72\) | 2.82354 | − | 1.01372i | 0.332757 | − | 0.119468i | ||||
\(73\) | 1.44294 | − | 5.38514i | 0.168884 | − | 0.630283i | −0.828629 | − | 0.559798i | \(-0.810879\pi\) |
0.997513 | − | 0.0704850i | \(-0.0224547\pi\) | |||||||
\(74\) | −2.76424 | − | 4.78780i | −0.321336 | − | 0.556570i | ||||
\(75\) | −2.47374 | − | 8.29943i | −0.285643 | − | 0.958336i | ||||
\(76\) | −2.45236 | −0.281305 | ||||||||
\(77\) | 5.00240 | + | 9.58854i | 0.570076 | + | 1.09272i | ||||
\(78\) | −6.13159 | + | 6.66214i | −0.694266 | + | 0.754339i | ||||
\(79\) | 8.18814 | + | 4.72742i | 0.921238 | + | 0.531877i | 0.884030 | − | 0.467431i | \(-0.154820\pi\) |
0.0372080 | + | 0.999308i | \(0.488154\pi\) | |||||||
\(80\) | 0.593376 | − | 2.15590i | 0.0663415 | − | 0.241037i | ||||
\(81\) | 5.72455 | + | 6.94475i | 0.636061 | + | 0.771638i | ||||
\(82\) | −1.74516 | − | 6.51303i | −0.192721 | − | 0.719243i | ||||
\(83\) | 6.31379 | − | 6.31379i | 0.693029 | − | 0.693029i | −0.269868 | − | 0.962897i | \(-0.586980\pi\) |
0.962897 | + | 0.269868i | \(0.0869802\pi\) | |||||||
\(84\) | −4.42796 | + | 1.18034i | −0.483130 | + | 0.128786i | ||||
\(85\) | 0.113194 | − | 16.6854i | 0.0122776 | − | 1.80978i | ||||
\(86\) | −1.55973 | − | 0.900511i | −0.168190 | − | 0.0971046i | ||||
\(87\) | 0.563594 | − | 2.51615i | 0.0604236 | − | 0.269760i | ||||
\(88\) | 1.05797 | − | 3.94840i | 0.112780 | − | 0.420901i | ||||
\(89\) | −6.71062 | + | 11.6231i | −0.711325 | + | 1.23205i | 0.253035 | + | 0.967457i | \(0.418571\pi\) |
−0.964360 | + | 0.264594i | \(0.914762\pi\) | |||||||
\(90\) | 6.68878 | − | 0.510057i | 0.705060 | − | 0.0537648i | ||||
\(91\) | 10.1887 | − | 9.35301i | 1.06806 | − | 0.980461i | ||||
\(92\) | −0.777550 | − | 0.777550i | −0.0810651 | − | 0.0810651i | ||||
\(93\) | 8.66824 | − | 2.71226i | 0.898854 | − | 0.281248i | ||||
\(94\) | 2.66651 | − | 1.53951i | 0.275029 | − | 0.158788i | ||||
\(95\) | −5.28704 | − | 1.45517i | −0.542439 | − | 0.149297i | ||||
\(96\) | 1.53459 | + | 0.803130i | 0.156624 | + | 0.0819691i | ||||
\(97\) | −5.21514 | + | 5.21514i | −0.529518 | + | 0.529518i | −0.920429 | − | 0.390911i | \(-0.872160\pi\) |
0.390911 | + | 0.920429i | \(0.372160\pi\) | |||||||
\(98\) | 6.89147 | − | 1.22788i | 0.696143 | − | 0.124035i | ||||
\(99\) | 12.2209 | − | 1.01535i | 1.22825 | − | 0.102046i | ||||
\(100\) | 2.55852 | − | 4.29581i | 0.255852 | − | 0.429581i | ||||
\(101\) | −2.56058 | + | 1.47835i | −0.254787 | + | 0.147101i | −0.621954 | − | 0.783054i | \(-0.713661\pi\) |
0.367167 | + | 0.930155i | \(0.380328\pi\) | |||||||
\(102\) | 12.6122 | + | 2.82501i | 1.24880 | + | 0.279718i | ||||
\(103\) | −10.0129 | + | 2.68295i | −0.986601 | + | 0.264359i | −0.715822 | − | 0.698283i | \(-0.753948\pi\) |
−0.270779 | + | 0.962642i | \(0.587281\pi\) | |||||||
\(104\) | −5.22751 | −0.512599 | ||||||||
\(105\) | −10.2466 | − | 0.0827464i | −0.999967 | − | 0.00807522i | ||||
\(106\) | −5.70059 | −0.553690 | ||||||||
\(107\) | 1.22978 | − | 0.329519i | 0.118887 | − | 0.0318558i | −0.198885 | − | 0.980023i | \(-0.563732\pi\) |
0.317772 | + | 0.948167i | \(0.397065\pi\) | |||||||
\(108\) | −0.712021 | + | 5.14714i | −0.0685143 | + | 0.495284i | ||||
\(109\) | −2.57800 | + | 1.48841i | −0.246927 | + | 0.142564i | −0.618356 | − | 0.785898i | \(-0.712201\pi\) |
0.371429 | + | 0.928461i | \(0.378868\pi\) | |||||||
\(110\) | 4.62376 | − | 7.88458i | 0.440859 | − | 0.751765i | ||||
\(111\) | 9.56737 | − | 0.396758i | 0.908095 | − | 0.0376586i | ||||
\(112\) | −2.23268 | − | 1.41956i | −0.210968 | − | 0.134136i | ||||
\(113\) | 2.76230 | − | 2.76230i | 0.259856 | − | 0.259856i | −0.565140 | − | 0.824995i | \(-0.691178\pi\) |
0.824995 | + | 0.565140i | \(0.191178\pi\) | |||||||
\(114\) | 1.96956 | − | 3.76338i | 0.184467 | − | 0.352473i | ||||
\(115\) | −1.21494 | − | 2.13770i | −0.113294 | − | 0.199341i | ||||
\(116\) | 1.28925 | − | 0.744349i | 0.119704 | − | 0.0691110i | ||||
\(117\) | −5.29923 | − | 14.7601i | −0.489914 | − | 1.36457i | ||||
\(118\) | −7.20025 | − | 7.20025i | −0.662836 | − | 0.662836i | ||||
\(119\) | −18.8344 | − | 5.91992i | −1.72655 | − | 0.542678i | ||||
\(120\) | 2.83188 | + | 2.64206i | 0.258514 | + | 0.241186i | ||||
\(121\) | 2.85458 | − | 4.94428i | 0.259507 | − | 0.449480i | ||||
\(122\) | 0.421838 | − | 1.57432i | 0.0381914 | − | 0.142532i | ||||
\(123\) | 11.3964 | + | 2.55269i | 1.02758 | + | 0.230169i | ||||
\(124\) | 4.54133 | + | 2.62194i | 0.407823 | + | 0.235457i | ||||
\(125\) | 8.06494 | − | 7.74317i | 0.721350 | − | 0.692570i | ||||
\(126\) | 1.74488 | − | 7.74309i | 0.155446 | − | 0.689809i | ||||
\(127\) | 5.50671 | − | 5.50671i | 0.488642 | − | 0.488642i | −0.419236 | − | 0.907877i | \(-0.637702\pi\) |
0.907877 | + | 0.419236i | \(0.137702\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 2.63459 | − | 1.67033i | 0.231963 | − | 0.147064i | ||||
\(130\) | −11.2700 | − | 3.10188i | −0.988443 | − | 0.272053i | ||||
\(131\) | 12.5406 | + | 7.24030i | 1.09567 | + | 0.632588i | 0.935082 | − | 0.354433i | \(-0.115326\pi\) |
0.160593 | + | 0.987021i | \(0.448659\pi\) | |||||||
\(132\) | 5.20951 | + | 4.79464i | 0.453429 | + | 0.417320i | ||||
\(133\) | −3.48127 | + | 5.47532i | −0.301865 | + | 0.474771i | ||||
\(134\) | 3.51312 | 0.303487 | ||||||||
\(135\) | −4.58923 | + | 10.6742i | −0.394978 | + | 0.918690i | ||||
\(136\) | 3.73105 | + | 6.46236i | 0.319935 | + | 0.554143i | ||||
\(137\) | −3.10449 | + | 11.5861i | −0.265234 | + | 0.989868i | 0.696872 | + | 0.717195i | \(0.254574\pi\) |
−0.962107 | + | 0.272673i | \(0.912092\pi\) | |||||||
\(138\) | 1.81770 | − | 0.568750i | 0.154733 | − | 0.0484152i | ||||
\(139\) | − | 7.25394i | − | 0.615271i | −0.951504 | − | 0.307636i | \(-0.900462\pi\) | ||
0.951504 | − | 0.307636i | \(-0.0995378\pi\) | |||||||
\(140\) | −3.97109 | − | 4.38525i | −0.335619 | − | 0.370621i | ||||
\(141\) | 0.220970 | + | 5.32844i | 0.0186090 | + | 0.448735i | ||||
\(142\) | 1.52646 | + | 5.69681i | 0.128097 | + | 0.478066i | ||||
\(143\) | −20.6403 | − | 5.53055i | −1.72603 | − | 0.462488i | ||||
\(144\) | −2.46496 | + | 1.70996i | −0.205413 | + | 0.142497i | ||||
\(145\) | 3.22117 | − | 0.839731i | 0.267504 | − | 0.0697359i | ||||
\(146\) | 5.57511i | 0.461399i | ||||||||
\(147\) | −3.65044 | + | 11.5618i | −0.301083 | + | 0.953598i | ||||
\(148\) | 3.90922 | + | 3.90922i | 0.321336 | + | 0.321336i | ||||
\(149\) | 5.71976 | − | 9.90691i | 0.468581 | − | 0.811606i | −0.530774 | − | 0.847513i | \(-0.678099\pi\) |
0.999355 | + | 0.0359074i | \(0.0114322\pi\) | |||||||
\(150\) | 4.53750 | + | 7.37638i | 0.370486 | + | 0.602279i | ||||
\(151\) | −6.75854 | − | 11.7061i | −0.550002 | − | 0.952632i | −0.998274 | − | 0.0587343i | \(-0.981294\pi\) |
0.448271 | − | 0.893897i | \(-0.352040\pi\) | |||||||
\(152\) | 2.36880 | − | 0.634717i | 0.192135 | − | 0.0514824i | ||||
\(153\) | −14.4645 | + | 17.0858i | −1.16939 | + | 1.38130i | ||||
\(154\) | −7.31365 | − | 7.96710i | −0.589350 | − | 0.642008i | ||||
\(155\) | 8.23486 | + | 8.34735i | 0.661440 | + | 0.670475i | ||||
\(156\) | 4.19837 | − | 8.02211i | 0.336139 | − | 0.642283i | ||||
\(157\) | −9.60302 | − | 2.57312i | −0.766405 | − | 0.205358i | −0.145622 | − | 0.989340i | \(-0.546518\pi\) |
−0.620783 | + | 0.783983i | \(0.713185\pi\) | |||||||
\(158\) | −9.13268 | − | 2.44710i | −0.726557 | − | 0.194680i | ||||
\(159\) | 4.57831 | − | 8.74809i | 0.363084 | − | 0.693769i | ||||
\(160\) | −0.0151692 | + | 2.23602i | −0.00119923 | + | 0.176773i | ||||
\(161\) | −2.83980 | + | 0.632237i | −0.223807 | + | 0.0498272i | ||||
\(162\) | −7.32693 | − | 5.22649i | −0.575658 | − | 0.410632i | ||||
\(163\) | −11.2223 | + | 3.00701i | −0.879000 | + | 0.235527i | −0.669976 | − | 0.742383i | \(-0.733695\pi\) |
−0.209024 | + | 0.977910i | \(0.567029\pi\) | |||||||
\(164\) | 3.37139 | + | 5.83942i | 0.263261 | + | 0.455982i | ||||
\(165\) | 8.38615 | + | 13.4280i | 0.652861 | + | 1.04536i | ||||
\(166\) | −4.46453 | + | 7.73279i | −0.346514 | + | 0.600181i | ||||
\(167\) | −15.6944 | − | 15.6944i | −1.21447 | − | 1.21447i | −0.969541 | − | 0.244931i | \(-0.921235\pi\) |
−0.244931 | − | 0.969541i | \(-0.578765\pi\) | |||||||
\(168\) | 3.97158 | − | 2.28616i | 0.306414 | − | 0.176381i | ||||
\(169\) | 14.3268i | 1.10206i | ||||||||
\(170\) | 4.20915 | + | 16.1461i | 0.322827 | + | 1.23835i | ||||
\(171\) | 4.19344 | + | 6.04496i | 0.320681 | + | 0.462270i | ||||
\(172\) | 1.73965 | + | 0.466139i | 0.132647 | + | 0.0355428i | ||||
\(173\) | −0.282653 | − | 1.05488i | −0.0214897 | − | 0.0802007i | 0.954348 | − | 0.298696i | \(-0.0965518\pi\) |
−0.975838 | + | 0.218496i | \(0.929885\pi\) | |||||||
\(174\) | 0.106838 | + | 2.57629i | 0.00809938 | + | 0.195308i | ||||
\(175\) | −5.95918 | − | 11.8105i | −0.450472 | − | 0.892791i | ||||
\(176\) | 4.08768i | 0.308121i | ||||||||
\(177\) | 16.8322 | − | 5.26673i | 1.26519 | − | 0.395871i | ||||
\(178\) | 3.47367 | − | 12.9639i | 0.260363 | − | 0.971688i | ||||
\(179\) | −2.65439 | − | 4.59754i | −0.198399 | − | 0.343637i | 0.749611 | − | 0.661879i | \(-0.230241\pi\) |
−0.948009 | + | 0.318242i | \(0.896907\pi\) | |||||||
\(180\) | −6.32886 | + | 2.22386i | −0.471725 | + | 0.165757i | ||||
\(181\) | −13.7484 | −1.02191 | −0.510957 | − | 0.859607i | \(-0.670709\pi\) | ||||
−0.510957 | + | 0.859607i | \(0.670709\pi\) | |||||||
\(182\) | −7.42077 | + | 11.6713i | −0.550064 | + | 0.865137i | ||||
\(183\) | 2.07716 | + | 1.91174i | 0.153548 | + | 0.141320i | ||||
\(184\) | 0.952300 | + | 0.549811i | 0.0702045 | + | 0.0405326i | ||||
\(185\) | 6.10825 | + | 10.7475i | 0.449088 | + | 0.790174i | ||||
\(186\) | −7.67089 | + | 4.86334i | −0.562457 | + | 0.356598i | ||||
\(187\) | 7.89468 | + | 29.4633i | 0.577316 | + | 2.15457i | ||||
\(188\) | −2.17720 | + | 2.17720i | −0.158788 | + | 0.158788i | ||||
\(189\) | 10.4811 | + | 8.89639i | 0.762390 | + | 0.647117i | ||||
\(190\) | 5.48351 | + | 0.0372003i | 0.397816 | + | 0.00269880i | ||||
\(191\) | −1.45963 | − | 0.842720i | −0.105615 | − | 0.0609771i | 0.446262 | − | 0.894902i | \(-0.352755\pi\) |
−0.551877 | + | 0.833925i | \(0.686088\pi\) | |||||||
\(192\) | −1.69017 | − | 0.378582i | −0.121978 | − | 0.0273218i | ||||
\(193\) | 0.881131 | − | 3.28843i | 0.0634252 | − | 0.236706i | −0.926935 | − | 0.375222i | \(-0.877567\pi\) |
0.990360 | + | 0.138516i | \(0.0442332\pi\) | |||||||
\(194\) | 3.68766 | − | 6.38722i | 0.264759 | − | 0.458576i | ||||
\(195\) | 13.8114 | − | 14.8036i | 0.989054 | − | 1.06011i | ||||
\(196\) | −6.33884 | + | 2.96969i | −0.452775 | + | 0.212121i | ||||
\(197\) | −11.9821 | − | 11.9821i | −0.853688 | − | 0.853688i | 0.136897 | − | 0.990585i | \(-0.456287\pi\) |
−0.990585 | + | 0.136897i | \(0.956287\pi\) | |||||||
\(198\) | −11.5417 | + | 4.14377i | −0.820236 | + | 0.294485i | ||||
\(199\) | 3.65684 | − | 2.11128i | 0.259226 | − | 0.149664i | −0.364755 | − | 0.931103i | \(-0.618847\pi\) |
0.623982 | + | 0.781439i | \(0.285514\pi\) | |||||||
\(200\) | −1.35950 | + | 4.81163i | −0.0961313 | + | 0.340233i | ||||
\(201\) | −2.82149 | + | 5.39121i | −0.199013 | + | 0.380267i | ||||
\(202\) | 2.09070 | − | 2.09070i | 0.147101 | − | 0.147101i | ||||
\(203\) | 0.168280 | − | 3.93513i | 0.0118109 | − | 0.276192i | ||||
\(204\) | −12.9136 | + | 0.535527i | −0.904135 | + | 0.0374944i | ||||
\(205\) | 3.80341 | + | 14.5897i | 0.265642 | + | 1.01899i | ||||
\(206\) | 8.97733 | − | 5.18306i | 0.625480 | − | 0.361121i | ||||
\(207\) | −0.587047 | + | 3.24621i | −0.0408026 | + | 0.225627i | ||||
\(208\) | 5.04938 | − | 1.35298i | 0.350112 | − | 0.0938122i | ||||
\(209\) | 10.0245 | 0.693407 | ||||||||
\(210\) | 9.91889 | − | 2.57209i | 0.684468 | − | 0.177491i | ||||
\(211\) | −1.74688 | −0.120260 | −0.0601302 | − | 0.998191i | \(-0.519152\pi\) | ||||
−0.0601302 | + | 0.998191i | \(0.519152\pi\) | |||||||
\(212\) | 5.50634 | − | 1.47542i | 0.378177 | − | 0.101332i | ||||
\(213\) | −9.96824 | − | 2.23279i | −0.683013 | − | 0.152988i | ||||
\(214\) | −1.10259 | + | 0.636581i | −0.0753715 | + | 0.0435158i | ||||
\(215\) | 3.47393 | + | 2.03722i | 0.236920 | + | 0.138937i | ||||
\(216\) | −0.644418 | − | 5.15604i | −0.0438471 | − | 0.350824i | ||||
\(217\) | 12.3006 | − | 6.41732i | 0.835021 | − | 0.435636i | ||||
\(218\) | 2.10493 | − | 2.10493i | 0.142564 | − | 0.142564i | ||||
\(219\) | −8.55554 | − | 4.47754i | −0.578130 | − | 0.302564i | ||||
\(220\) | −2.42553 | + | 8.81264i | −0.163529 | + | 0.594148i | ||||
\(221\) | 33.7821 | − | 19.5041i | 2.27243 | − | 1.31199i | ||||
\(222\) | −9.13869 | + | 2.85946i | −0.613348 | + | 0.191914i | ||||
\(223\) | 5.26364 | + | 5.26364i | 0.352480 | + | 0.352480i | 0.861031 | − | 0.508552i | \(-0.169819\pi\) |
−0.508552 | + | 0.861031i | \(0.669819\pi\) | |||||||
\(224\) | 2.52401 | + | 0.793332i | 0.168642 | + | 0.0530067i | ||||
\(225\) | −14.9640 | + | 1.03903i | −0.997598 | + | 0.0692689i | ||||
\(226\) | −1.95324 | + | 3.38312i | −0.129928 | + | 0.225042i | ||||
\(227\) | −1.83391 | + | 6.84424i | −0.121721 | + | 0.454268i | −0.999702 | − | 0.0244277i | \(-0.992224\pi\) |
0.877981 | + | 0.478696i | \(0.158890\pi\) | |||||||
\(228\) | −0.928418 | + | 4.14490i | −0.0614860 | + | 0.274503i | ||||
\(229\) | 2.52452 | + | 1.45753i | 0.166825 | + | 0.0963164i | 0.581088 | − | 0.813841i | \(-0.302627\pi\) |
−0.414263 | + | 0.910157i | \(0.635961\pi\) | |||||||
\(230\) | 1.72682 | + | 1.75041i | 0.113863 | + | 0.115419i | ||||
\(231\) | 18.1001 | − | 4.82486i | 1.19090 | − | 0.317453i | ||||
\(232\) | −1.05267 | + | 1.05267i | −0.0691110 | + | 0.0691110i | ||||
\(233\) | −7.18782 | − | 26.8253i | −0.470890 | − | 1.75738i | −0.636584 | − | 0.771207i | \(-0.719653\pi\) |
0.165694 | − | 0.986177i | \(-0.447014\pi\) | |||||||
\(234\) | 8.93885 | + | 12.8856i | 0.584351 | + | 0.842358i | ||||
\(235\) | −5.98571 | + | 3.40192i | −0.390465 | + | 0.221917i | ||||
\(236\) | 8.81846 | + | 5.09134i | 0.574033 | + | 0.331418i | ||||
\(237\) | 11.0900 | − | 12.0496i | 0.720375 | − | 0.782708i | ||||
\(238\) | 19.7248 | + | 0.843503i | 1.27857 | + | 0.0546762i | ||||
\(239\) | −6.40772 | −0.414481 | −0.207240 | − | 0.978290i | \(-0.566448\pi\) | ||||
−0.207240 | + | 0.978290i | \(0.566448\pi\) | |||||||
\(240\) | −3.41920 | − | 1.81909i | −0.220708 | − | 0.117422i | ||||
\(241\) | 6.89013 | + | 11.9341i | 0.443832 | + | 0.768740i | 0.997970 | − | 0.0636847i | \(-0.0202852\pi\) |
−0.554138 | + | 0.832425i | \(0.686952\pi\) | |||||||
\(242\) | −1.47764 | + | 5.51463i | −0.0949863 | + | 0.354494i | ||||
\(243\) | 13.9050 | − | 7.04631i | 0.892007 | − | 0.452021i | ||||
\(244\) | 1.62986i | 0.104341i | ||||||||
\(245\) | −15.4281 | + | 2.64103i | −0.985662 | + | 0.168729i | ||||
\(246\) | −11.6688 | + | 0.483904i | −0.743976 | + | 0.0308526i | ||||
\(247\) | −3.31799 | − | 12.3829i | −0.211119 | − | 0.787905i | ||||
\(248\) | −5.06519 | − | 1.35721i | −0.321640 | − | 0.0861832i | ||||
\(249\) | −8.28110 | − | 13.0617i | −0.524793 | − | 0.827750i | ||||
\(250\) | −5.78605 | + | 9.56669i | −0.365942 | + | 0.605051i | ||||
\(251\) | 15.7442i | 0.993767i | 0.867817 | + | 0.496884i | \(0.165522\pi\) | ||||
−0.867817 | + | 0.496884i | \(0.834478\pi\) | |||||||
\(252\) | 0.318633 | + | 7.93086i | 0.0200720 | + | 0.499597i | ||||
\(253\) | 3.17838 | + | 3.17838i | 0.199823 | + | 0.199823i | ||||
\(254\) | −3.89384 | + | 6.74432i | −0.244321 | + | 0.423176i | ||||
\(255\) | −28.1583 | − | 6.50810i | −1.76334 | − | 0.407553i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −24.8526 | + | 6.65924i | −1.55026 | + | 0.415392i | −0.929566 | − | 0.368656i | \(-0.879818\pi\) |
−0.620699 | + | 0.784049i | \(0.713151\pi\) | |||||||
\(258\) | −2.11250 | + | 2.29529i | −0.131519 | + | 0.142899i | ||||
\(259\) | 14.2774 | − | 3.17865i | 0.887155 | − | 0.197511i | ||||
\(260\) | 11.6888 | + | 0.0792971i | 0.724908 | + | 0.00491780i | ||||
\(261\) | −4.03936 | − | 1.90514i | −0.250030 | − | 0.117925i | ||||
\(262\) | −13.9872 | − | 3.74786i | −0.864131 | − | 0.231543i | ||||
\(263\) | −0.882836 | − | 0.236555i | −0.0544380 | − | 0.0145866i | 0.231497 | − | 0.972836i | \(-0.425638\pi\) |
−0.285935 | + | 0.958249i | \(0.592304\pi\) | |||||||
\(264\) | −6.27294 | − | 3.28294i | −0.386073 | − | 0.202051i | ||||
\(265\) | 12.7466 | + | 0.0864734i | 0.783018 | + | 0.00531202i | ||||
\(266\) | 1.94553 | − | 6.18978i | 0.119288 | − | 0.379520i | ||||
\(267\) | 17.1046 | + | 15.7424i | 1.04678 | + | 0.963420i | ||||
\(268\) | −3.39341 | + | 0.909261i | −0.207285 | + | 0.0555420i | ||||
\(269\) | −4.05903 | − | 7.03044i | −0.247483 | − | 0.428654i | 0.715344 | − | 0.698773i | \(-0.246270\pi\) |
−0.962827 | + | 0.270119i | \(0.912937\pi\) | |||||||
\(270\) | 1.67017 | − | 11.4983i | 0.101643 | − | 0.699763i | ||||
\(271\) | −0.143382 | + | 0.248344i | −0.00870982 | + | 0.0150858i | −0.870347 | − | 0.492438i | \(-0.836106\pi\) |
0.861638 | + | 0.507524i | \(0.169439\pi\) | |||||||
\(272\) | −5.27650 | − | 5.27650i | −0.319935 | − | 0.319935i | ||||
\(273\) | −11.9509 | − | 20.7615i | −0.723303 | − | 1.25654i | ||||
\(274\) | − | 11.9948i | − | 0.724634i | ||||||
\(275\) | −10.4584 | + | 17.5599i | −0.630666 | + | 1.05890i | ||||
\(276\) | −1.60856 | + | 1.01982i | −0.0968238 | + | 0.0613862i | ||||
\(277\) | −31.0992 | − | 8.33301i | −1.86857 | − | 0.500682i | −0.999987 | − | 0.00514027i | \(-0.998364\pi\) |
−0.868584 | − | 0.495542i | \(-0.834970\pi\) | |||||||
\(278\) | 1.87746 | + | 7.00677i | 0.112602 | + | 0.420238i | ||||
\(279\) | −1.30254 | − | 15.6776i | −0.0779808 | − | 0.938594i | ||||
\(280\) | 4.97077 | + | 3.20803i | 0.297060 | + | 0.191717i | ||||
\(281\) | − | 6.43714i | − | 0.384007i | −0.981394 | − | 0.192004i | \(-0.938501\pi\) | ||
0.981394 | − | 0.192004i | \(-0.0614986\pi\) | |||||||
\(282\) | −1.59254 | − | 5.08969i | −0.0948345 | − | 0.303086i | ||||
\(283\) | −0.508211 | + | 1.89667i | −0.0302100 | + | 0.112745i | −0.979384 | − | 0.202005i | \(-0.935254\pi\) |
0.949174 | + | 0.314751i | \(0.101921\pi\) | |||||||
\(284\) | −2.94889 | − | 5.10762i | −0.174984 | − | 0.303082i | ||||
\(285\) | −4.46106 | + | 8.38510i | −0.264251 | + | 0.496690i | ||||
\(286\) | 21.3684 | 1.26354 | ||||||||
\(287\) | 17.8234 | + | 0.762193i | 1.05208 | + | 0.0449908i | ||||
\(288\) | 1.93840 | − | 2.28968i | 0.114221 | − | 0.134920i | ||||
\(289\) | −33.5003 | − | 19.3414i | −1.97061 | − | 1.13773i | ||||
\(290\) | −2.89407 | + | 1.64482i | −0.169946 | + | 0.0965871i | ||||
\(291\) | 6.84012 | + | 10.7888i | 0.400975 | + | 0.632453i | ||||
\(292\) | −1.44294 | − | 5.38514i | −0.0844419 | − | 0.315142i | ||||
\(293\) | 1.37301 | − | 1.37301i | 0.0802121 | − | 0.0802121i | −0.665862 | − | 0.746075i | \(-0.731936\pi\) |
0.746075 | + | 0.665862i | \(0.231936\pi\) | |||||||
\(294\) | 0.533649 | − | 12.1126i | 0.0311231 | − | 0.706422i | ||||
\(295\) | 15.9906 | + | 16.2091i | 0.931011 | + | 0.943730i | ||||
\(296\) | −4.78780 | − | 2.76424i | −0.278285 | − | 0.160668i | ||||
\(297\) | 2.91052 | − | 21.0399i | 0.168885 | − | 1.22086i | ||||
\(298\) | −2.96076 | + | 11.0497i | −0.171512 | + | 0.640093i | ||||
\(299\) | 2.87414 | − | 4.97815i | 0.166216 | − | 0.287894i | ||||
\(300\) | −6.29204 | − | 5.95065i | −0.363271 | − | 0.343561i | ||||
\(301\) | 3.51028 | − | 3.22237i | 0.202329 | − | 0.185734i | ||||
\(302\) | 9.55802 | + | 9.55802i | 0.550002 | + | 0.550002i | ||||
\(303\) | 1.52928 | + | 4.88749i | 0.0878546 | + | 0.280779i | ||||
\(304\) | −2.12380 | + | 1.22618i | −0.121809 | + | 0.0703262i | ||||
\(305\) | −0.967119 | + | 3.51381i | −0.0553770 | + | 0.201200i | ||||
\(306\) | 9.54951 | − | 20.2473i | 0.545909 | − | 1.15746i | ||||
\(307\) | 10.0236 | − | 10.0236i | 0.572077 | − | 0.572077i | −0.360631 | − | 0.932708i | \(-0.617439\pi\) |
0.932708 | + | 0.360631i | \(0.117439\pi\) | |||||||
\(308\) | 9.12648 | + | 5.80272i | 0.520029 | + | 0.330641i | ||||
\(309\) | 0.743938 | + | 17.9392i | 0.0423212 | + | 1.02053i | ||||
\(310\) | −10.1147 | − | 5.93158i | −0.574477 | − | 0.336891i | ||||
\(311\) | −3.26860 | + | 1.88713i | −0.185345 | + | 0.107009i | −0.589802 | − | 0.807548i | \(-0.700794\pi\) |
0.404456 | + | 0.914557i | \(0.367461\pi\) | |||||||
\(312\) | −1.97904 | + | 8.83538i | −0.112041 | + | 0.500205i | ||||
\(313\) | 26.1427 | − | 7.00492i | 1.47767 | − | 0.395941i | 0.572119 | − | 0.820171i | \(-0.306122\pi\) |
0.905555 | + | 0.424229i | \(0.139455\pi\) | |||||||
\(314\) | 9.94178 | 0.561047 | ||||||||
\(315\) | −4.01904 | + | 17.2872i | −0.226447 | + | 0.974023i | ||||
\(316\) | 9.45485 | 0.531877 | ||||||||
\(317\) | 20.5304 | − | 5.50111i | 1.15310 | − | 0.308973i | 0.368895 | − | 0.929471i | \(-0.379736\pi\) |
0.784208 | + | 0.620498i | \(0.213069\pi\) | |||||||
\(318\) | −2.15814 | + | 9.63496i | −0.121022 | + | 0.540302i | ||||
\(319\) | −5.27005 | + | 3.04266i | −0.295066 | + | 0.170356i | ||||
\(320\) | −0.564071 | − | 2.16375i | −0.0315325 | − | 0.120957i | ||||
\(321\) | −0.0913700 | − | 2.20329i | −0.00509978 | − | 0.122976i | ||||
\(322\) | 2.57940 | − | 1.34569i | 0.143744 | − | 0.0749922i | ||||
\(323\) | −12.9399 | + | 12.9399i | −0.719993 | + | 0.719993i | ||||
\(324\) | 8.42998 | + | 3.15205i | 0.468332 | + | 0.175114i | ||||
\(325\) | 25.1528 | + | 7.10681i | 1.39523 | + | 0.394215i | ||||
\(326\) | 10.0617 | − | 5.80910i | 0.557264 | − | 0.321736i | ||||
\(327\) | 1.53968 | + | 4.92074i | 0.0851444 | + | 0.272117i | ||||
\(328\) | −4.76787 | − | 4.76787i | −0.263261 | − | 0.263261i | ||||
\(329\) | 1.77031 | + | 7.95164i | 0.0976003 | + | 0.438388i | ||||
\(330\) | −11.5758 | − | 10.7999i | −0.637227 | − | 0.594515i | ||||
\(331\) | 2.05157 | − | 3.55342i | 0.112764 | − | 0.195313i | −0.804120 | − | 0.594468i | \(-0.797363\pi\) |
0.916884 | + | 0.399154i | \(0.130696\pi\) | |||||||
\(332\) | 2.31101 | − | 8.62480i | 0.126833 | − | 0.473348i | ||||
\(333\) | 2.95145 | − | 16.3207i | 0.161738 | − | 0.894369i | ||||
\(334\) | 19.2217 | + | 11.0976i | 1.05176 | + | 0.607236i | ||||
\(335\) | −7.85539 | − | 0.0532912i | −0.429186 | − | 0.00291161i | ||||
\(336\) | −3.24455 | + | 3.23618i | −0.177005 | + | 0.176548i | ||||
\(337\) | 11.5744 | − | 11.5744i | 0.630498 | − | 0.630498i | −0.317695 | − | 0.948193i | \(-0.602909\pi\) |
0.948193 | + | 0.317695i | \(0.102909\pi\) | |||||||
\(338\) | −3.70806 | − | 13.8387i | −0.201692 | − | 0.752724i | ||||
\(339\) | −3.62301 | − | 5.71452i | −0.196775 | − | 0.310370i | ||||
\(340\) | −8.24466 | − | 14.5065i | −0.447129 | − | 0.786728i | ||||
\(341\) | −18.5635 | − | 10.7177i | −1.00527 | − | 0.580393i | ||||
\(342\) | −5.61511 | − | 4.75364i | −0.303630 | − | 0.257048i | ||||
\(343\) | −2.36803 | + | 18.3682i | −0.127862 | + | 0.991792i | ||||
\(344\) | −1.80102 | −0.0971046 | ||||||||
\(345\) | −4.07303 | + | 1.24416i | −0.219284 | + | 0.0669834i | ||||
\(346\) | 0.546044 | + | 0.945776i | 0.0293555 | + | 0.0508452i | ||||
\(347\) | −8.09375 | + | 30.2063i | −0.434495 | + | 1.62156i | 0.307776 | + | 0.951459i | \(0.400415\pi\) |
−0.742272 | + | 0.670099i | \(0.766252\pi\) | |||||||
\(348\) | −0.769989 | − | 2.46085i | −0.0412758 | − | 0.131915i | ||||
\(349\) | − | 26.4465i | − | 1.41565i | −0.706387 | − | 0.707826i | \(-0.749676\pi\) | ||
0.706387 | − | 0.707826i | \(-0.250324\pi\) | |||||||
\(350\) | 8.81291 | + | 9.86573i | 0.471070 | + | 0.527345i | ||||
\(351\) | −26.9532 | + | 3.36870i | −1.43866 | + | 0.179808i | ||||
\(352\) | −1.05797 | − | 3.94840i | −0.0563900 | − | 0.210450i | ||||
\(353\) | 19.2319 | + | 5.15317i | 1.02361 | + | 0.274276i | 0.731306 | − | 0.682049i | \(-0.238911\pi\) |
0.292305 | + | 0.956325i | \(0.405578\pi\) | |||||||
\(354\) | −14.8955 | + | 9.44376i | −0.791688 | + | 0.501930i | ||||
\(355\) | −3.32677 | − | 12.7613i | −0.176566 | − | 0.677301i | ||||
\(356\) | 13.4212i | 0.711325i | ||||||||
\(357\) | −17.1360 | + | 29.5922i | −0.906935 | + | 1.56618i | ||||
\(358\) | 3.75388 | + | 3.75388i | 0.198399 | + | 0.198399i | ||||
\(359\) | −14.1219 | + | 24.4599i | −0.745327 | + | 1.29094i | 0.204715 | + | 0.978822i | \(0.434373\pi\) |
−0.950042 | + | 0.312122i | \(0.898960\pi\) | |||||||
\(360\) | 5.53763 | − | 3.78612i | 0.291859 | − | 0.199546i | ||||
\(361\) | −6.49297 | − | 11.2462i | −0.341735 | − | 0.591903i | ||||
\(362\) | 13.2800 | − | 3.55836i | 0.697980 | − | 0.187023i | ||||
\(363\) | −7.27599 | − | 6.69655i | −0.381890 | − | 0.351478i | ||||
\(364\) | 4.14715 | − | 13.1943i | 0.217370 | − | 0.691568i | ||||
\(365\) | 0.0845700 | − | 12.4660i | 0.00442660 | − | 0.652502i | ||||
\(366\) | −2.50117 | − | 1.30899i | −0.130738 | − | 0.0684219i | ||||
\(367\) | 21.1687 | + | 5.67214i | 1.10500 | + | 0.296084i | 0.764799 | − | 0.644269i | \(-0.222838\pi\) |
0.340200 | + | 0.940353i | \(0.389505\pi\) | |||||||
\(368\) | −1.06215 | − | 0.284603i | −0.0553685 | − | 0.0148360i | ||||
\(369\) | 8.62898 | − | 18.2955i | 0.449207 | − | 0.952428i | ||||
\(370\) | −8.68178 | − | 8.80038i | −0.451344 | − | 0.457510i | ||||
\(371\) | 4.52246 | − | 14.3883i | 0.234794 | − | 0.747005i | ||||
\(372\) | 6.15079 | − | 6.68300i | 0.318903 | − | 0.346497i | ||||
\(373\) | 3.95292 | − | 1.05918i | 0.204674 | − | 0.0548423i | −0.155025 | − | 0.987911i | \(-0.549546\pi\) |
0.359700 | + | 0.933068i | \(0.382879\pi\) | |||||||
\(374\) | −15.2513 | − | 26.4161i | −0.788628 | − | 1.36594i | ||||
\(375\) | −10.0340 | − | 16.5625i | −0.518156 | − | 0.855286i | ||||
\(376\) | 1.53951 | − | 2.66651i | 0.0793942 | − | 0.137515i | ||||
\(377\) | 5.50283 | + | 5.50283i | 0.283410 | + | 0.283410i | ||||
\(378\) | −12.4266 | − | 5.88054i | −0.639153 | − | 0.302462i | ||||
\(379\) | 12.0806i | 0.620537i | 0.950649 | + | 0.310269i | \(0.100419\pi\) | ||||
−0.950649 | + | 0.310269i | \(0.899581\pi\) | |||||||
\(380\) | −5.30630 | + | 1.38331i | −0.272207 | + | 0.0709621i | ||||
\(381\) | −7.22254 | − | 11.3920i | −0.370022 | − | 0.583631i | ||||
\(382\) | 1.62801 | + | 0.436224i | 0.0832962 | + | 0.0223192i | ||||
\(383\) | 8.40909 | + | 31.3832i | 0.429684 | + | 1.60360i | 0.753476 | + | 0.657476i | \(0.228376\pi\) |
−0.323791 | + | 0.946129i | \(0.604958\pi\) | |||||||
\(384\) | 1.73056 | − | 0.0717662i | 0.0883124 | − | 0.00366231i | ||||
\(385\) | 16.2326 | + | 17.9255i | 0.827289 | + | 0.913569i | ||||
\(386\) | 3.40443i | 0.173281i | ||||||||
\(387\) | −1.82573 | − | 5.08526i | −0.0928072 | − | 0.258498i | ||||
\(388\) | −1.90888 | + | 7.12402i | −0.0969085 | + | 0.361667i | ||||
\(389\) | −0.0153183 | − | 0.0265320i | −0.000776666 | − | 0.00134523i | 0.865637 | − | 0.500672i | \(-0.166914\pi\) |
−0.866413 | + | 0.499327i | \(0.833581\pi\) | |||||||
\(390\) | −9.50931 | + | 17.8739i | −0.481523 | + | 0.905079i | ||||
\(391\) | −8.20548 | −0.414969 | ||||||||
\(392\) | 5.35424 | − | 4.50911i | 0.270430 | − | 0.227745i | ||||
\(393\) | 16.9850 | − | 18.4546i | 0.856779 | − | 0.930914i | ||||
\(394\) | 14.6750 | + | 8.47261i | 0.739316 | + | 0.426844i | ||||
\(395\) | 20.3837 | + | 5.61028i | 1.02562 | + | 0.282284i | ||||
\(396\) | 10.0760 | − | 6.98979i | 0.506337 | − | 0.351250i | ||||
\(397\) | 5.93984 | + | 22.1678i | 0.298112 | + | 1.11257i | 0.938714 | + | 0.344696i | \(0.112018\pi\) |
−0.640603 | + | 0.767873i | \(0.721315\pi\) | |||||||
\(398\) | −2.98580 | + | 2.98580i | −0.149664 | + | 0.149664i | ||||
\(399\) | 7.93628 | + | 7.95680i | 0.397311 | + | 0.398338i | ||||
\(400\) | 0.0678372 | − | 4.99954i | 0.00339186 | − | 0.249977i | ||||
\(401\) | −14.5458 | − | 8.39801i | −0.726382 | − | 0.419377i | 0.0907151 | − | 0.995877i | \(-0.471085\pi\) |
−0.817097 | + | 0.576500i | \(0.804418\pi\) | |||||||
\(402\) | 1.33000 | − | 5.93776i | 0.0663345 | − | 0.296149i | ||||
\(403\) | −7.09485 | + | 26.4783i | −0.353420 | + | 1.31898i | ||||
\(404\) | −1.47835 | + | 2.56058i | −0.0735507 | + | 0.127393i | ||||
\(405\) | 16.3038 | + | 11.7977i | 0.810145 | + | 0.586230i | ||||
\(406\) | 0.855940 | + | 3.84459i | 0.0424796 | + | 0.190804i | ||||
\(407\) | −15.9797 | − | 15.9797i | −0.792083 | − | 0.792083i | ||||
\(408\) | 12.3350 | − | 3.85957i | 0.610674 | − | 0.191077i | ||||
\(409\) | −24.6188 | + | 14.2137i | −1.21732 | + | 0.702822i | −0.964345 | − | 0.264650i | \(-0.914744\pi\) |
−0.252979 | + | 0.967472i | \(0.581410\pi\) | |||||||
\(410\) | −7.44991 | − | 13.1082i | −0.367925 | − | 0.647367i | ||||
\(411\) | 18.4072 | + | 9.63341i | 0.907960 | + | 0.475181i | ||||
\(412\) | −7.32996 | + | 7.32996i | −0.361121 | + | 0.361121i | ||||
\(413\) | 23.8857 | − | 12.4613i | 1.17534 | − | 0.613181i | ||||
\(414\) | −0.273137 | − | 3.28754i | −0.0134240 | − | 0.161574i | ||||
\(415\) | 10.1001 | − | 17.2229i | 0.495792 | − | 0.845440i | ||||
\(416\) | −4.52715 | + | 2.61375i | −0.221962 | + | 0.128150i | ||||
\(417\) | −12.2604 | − | 2.74621i | −0.600394 | − | 0.134483i | ||||
\(418\) | −9.68289 | + | 2.59452i | −0.473606 | + | 0.126902i | ||||
\(419\) | 20.1095 | 0.982415 | 0.491207 | − | 0.871043i | \(-0.336556\pi\) | ||||
0.491207 | + | 0.871043i | \(0.336556\pi\) | |||||||
\(420\) | −8.91520 | + | 5.05165i | −0.435017 | + | 0.246495i | ||||
\(421\) | 0.466628 | 0.0227420 | 0.0113710 | − | 0.999935i | \(-0.496380\pi\) | ||||
0.0113710 | + | 0.999935i | \(0.496380\pi\) | |||||||
\(422\) | 1.68736 | − | 0.452127i | 0.0821394 | − | 0.0220092i | ||||
\(423\) | 9.08962 | + | 1.64377i | 0.441953 | + | 0.0799230i | ||||
\(424\) | −4.93685 | + | 2.85029i | −0.239755 | + | 0.138422i | ||||
\(425\) | −9.16681 | − | 36.1669i | −0.444656 | − | 1.75435i | ||||
\(426\) | 10.2065 | − | 0.423261i | 0.494505 | − | 0.0205071i | ||||
\(427\) | 3.63895 | + | 2.31368i | 0.176101 | + | 0.111967i | ||||
\(428\) | 0.900261 | − | 0.900261i | 0.0435158 | − | 0.0435158i | ||||
\(429\) | −17.1616 | + | 32.7918i | −0.828570 | + | 1.58321i | ||||
\(430\) | −3.88282 | − | 1.06868i | −0.187246 | − | 0.0515365i | ||||
\(431\) | −12.1781 | + | 7.03102i | −0.586598 | + | 0.338672i | −0.763751 | − | 0.645511i | \(-0.776645\pi\) |
0.177153 | + | 0.984183i | \(0.443311\pi\) | |||||||
\(432\) | 1.95694 | + | 4.81356i | 0.0941533 | + | 0.231593i | ||||
\(433\) | −7.91330 | − | 7.91330i | −0.380289 | − | 0.380289i | 0.490917 | − | 0.871206i | \(-0.336662\pi\) |
−0.871206 | + | 0.490917i | \(0.836662\pi\) | |||||||
\(434\) | −10.2206 | + | 9.38229i | −0.490603 | + | 0.450364i | ||||
\(435\) | −0.199812 | − | 5.76224i | −0.00958024 | − | 0.276278i | ||||
\(436\) | −1.48841 | + | 2.57800i | −0.0712818 | + | 0.123464i | ||||
\(437\) | −0.697948 | + | 2.60478i | −0.0333874 | + | 0.124603i | ||||
\(438\) | 9.42289 | + | 2.11064i | 0.450243 | + | 0.100850i | ||||
\(439\) | 1.69708 | + | 0.979808i | 0.0809971 | + | 0.0467637i | 0.539952 | − | 0.841696i | \(-0.318443\pi\) |
−0.458954 | + | 0.888460i | \(0.651776\pi\) | |||||||
\(440\) | 0.0620069 | − | 9.14013i | 0.00295606 | − | 0.435739i | ||||
\(441\) | 18.1594 | + | 10.5469i | 0.864731 | + | 0.502235i | ||||
\(442\) | −27.5829 | + | 27.5829i | −1.31199 | + | 1.31199i | ||||
\(443\) | −6.63929 | − | 24.7782i | −0.315442 | − | 1.17725i | −0.923577 | − | 0.383413i | \(-0.874749\pi\) |
0.608135 | − | 0.793834i | \(-0.291918\pi\) | |||||||
\(444\) | 8.08721 | − | 5.12729i | 0.383802 | − | 0.243330i | ||||
\(445\) | −7.96385 | + | 28.9349i | −0.377523 | + | 1.37164i | ||||
\(446\) | −6.44662 | − | 3.72196i | −0.305256 | − | 0.176240i | ||||
\(447\) | −14.5790 | − | 13.4179i | −0.689562 | − | 0.634647i | ||||
\(448\) | −2.64334 | − | 0.113038i | −0.124886 | − | 0.00534056i | ||||
\(449\) | −4.51616 | −0.213131 | −0.106565 | − | 0.994306i | \(-0.533985\pi\) | ||||
−0.106565 | + | 0.994306i | \(0.533985\pi\) | |||||||
\(450\) | 14.1852 | − | 4.87659i | 0.668695 | − | 0.229885i | ||||
\(451\) | −13.7812 | − | 23.8697i | −0.648930 | − | 1.12398i | ||||
\(452\) | 1.01107 | − | 3.77338i | 0.0475569 | − | 0.177485i | ||||
\(453\) | −22.3440 | + | 6.99135i | −1.04981 | + | 0.328482i | ||||
\(454\) | − | 7.08568i | − | 0.332547i | ||||||
\(455\) | 16.7700 | − | 25.9847i | 0.786190 | − | 1.21818i | ||||
\(456\) | −0.175997 | − | 4.24396i | −0.00824179 | − | 0.198742i | ||||
\(457\) | 7.48257 | + | 27.9253i | 0.350020 | + | 1.30629i | 0.886637 | + | 0.462466i | \(0.153035\pi\) |
−0.536617 | + | 0.843826i | \(0.680298\pi\) | |||||||
\(458\) | −2.81574 | − | 0.754474i | −0.131571 | − | 0.0352543i | ||||
\(459\) | 23.4019 | + | 30.9158i | 1.09231 | + | 1.44303i | ||||
\(460\) | −2.12102 | − | 1.24383i | −0.0988930 | − | 0.0579939i | ||||
\(461\) | 28.5763i | 1.33093i | 0.746428 | + | 0.665466i | \(0.231767\pi\) | ||||
−0.746428 | + | 0.665466i | \(0.768233\pi\) | |||||||
\(462\) | −16.2346 | + | 9.34510i | −0.755301 | + | 0.434774i | ||||
\(463\) | −26.2518 | − | 26.2518i | −1.22002 | − | 1.22002i | −0.967623 | − | 0.252401i | \(-0.918780\pi\) |
−0.252401 | − | 0.967623i | \(-0.581220\pi\) | |||||||
\(464\) | 0.744349 | − | 1.28925i | 0.0345555 | − | 0.0598519i | ||||
\(465\) | 17.2260 | − | 10.7582i | 0.798837 | − | 0.498897i | ||||
\(466\) | 13.8858 | + | 24.0509i | 0.643247 | + | 1.11414i | ||||
\(467\) | 30.0950 | − | 8.06394i | 1.39263 | − | 0.373154i | 0.516938 | − | 0.856023i | \(-0.327072\pi\) |
0.875693 | + | 0.482868i | \(0.160405\pi\) | |||||||
\(468\) | −11.9693 | − | 10.1330i | −0.553281 | − | 0.468397i | ||||
\(469\) | −2.78707 | + | 8.86714i | −0.128695 | + | 0.409446i | ||||
\(470\) | 4.90127 | − | 4.83522i | 0.226079 | − | 0.223032i | ||||
\(471\) | −7.98455 | + | 15.2566i | −0.367908 | + | 0.702987i | ||||
\(472\) | −9.83572 | − | 2.63547i | −0.452726 | − | 0.121307i | ||||
\(473\) | −7.11116 | − | 1.90543i | −0.326971 | − | 0.0876117i | ||||
\(474\) | −7.59348 | + | 14.5094i | −0.348780 | + | 0.666437i | ||||
\(475\) | −12.2607 | − | 0.166361i | −0.562558 | − | 0.00763317i | ||||
\(476\) | −19.2710 | + | 4.29040i | −0.883286 | + | 0.196650i | ||||
\(477\) | −13.0525 | − | 11.0500i | −0.597633 | − | 0.505945i | ||||
\(478\) | 6.18938 | − | 1.65844i | 0.283096 | − | 0.0758552i | ||||
\(479\) | −3.35100 | − | 5.80410i | −0.153111 | − | 0.265196i | 0.779258 | − | 0.626703i | \(-0.215596\pi\) |
−0.932370 | + | 0.361506i | \(0.882263\pi\) | |||||||
\(480\) | 3.77351 | + | 0.872154i | 0.172236 | + | 0.0398082i | ||||
\(481\) | −14.4501 | + | 25.0283i | −0.658867 | + | 1.14119i | ||||
\(482\) | −9.74412 | − | 9.74412i | −0.443832 | − | 0.443832i | ||||
\(483\) | −0.00650738 | + | 5.03909i | −0.000296096 | + | 0.229287i | ||||
\(484\) | − | 5.70916i | − | 0.259507i | ||||||
\(485\) | −8.34257 | + | 14.2260i | −0.378816 | + | 0.645969i | ||||
\(486\) | −11.6075 | + | 10.4051i | −0.526527 | + | 0.471985i | ||||
\(487\) | 6.70741 | + | 1.79725i | 0.303942 | + | 0.0814409i | 0.407567 | − | 0.913176i | \(-0.366377\pi\) |
−0.103625 | + | 0.994616i | \(0.533044\pi\) | |||||||
\(488\) | −0.421838 | − | 1.57432i | −0.0190957 | − | 0.0712662i | ||||
\(489\) | 0.833794 | + | 20.1060i | 0.0377055 | + | 0.909226i | ||||
\(490\) | 14.2188 | − | 6.54412i | 0.642340 | − | 0.295633i | ||||
\(491\) | 18.8686i | 0.851527i | 0.904835 | + | 0.425763i | \(0.139994\pi\) | ||||
−0.904835 | + | 0.425763i | \(0.860006\pi\) | |||||||
\(492\) | 11.1460 | − | 3.48753i | 0.502499 | − | 0.157230i | ||||
\(493\) | 2.87517 | − | 10.7303i | 0.129491 | − | 0.483267i | ||||
\(494\) | 6.40986 | + | 11.1022i | 0.288393 | + | 0.499512i | ||||
\(495\) | 25.8704 | − | 9.09045i | 1.16279 | − | 0.408585i | ||||
\(496\) | 5.24387 | 0.235457 | ||||||||
\(497\) | −15.5898 | − | 0.666675i | −0.699298 | − | 0.0299045i | ||||
\(498\) | 11.3795 | + | 10.4733i | 0.509929 | + | 0.469320i | ||||
\(499\) | 33.7931 | + | 19.5105i | 1.51279 | + | 0.873408i | 0.999888 | + | 0.0149599i | \(0.00476207\pi\) |
0.512900 | + | 0.858449i | \(0.328571\pi\) | |||||||
\(500\) | 3.11286 | − | 10.7383i | 0.139211 | − | 0.480229i | ||||
\(501\) | −32.4679 | + | 20.5846i | −1.45056 | + | 0.919653i | ||||
\(502\) | −4.07491 | − | 15.2078i | −0.181872 | − | 0.678756i | ||||
\(503\) | −23.7568 | + | 23.7568i | −1.05926 | + | 1.05926i | −0.0611349 | + | 0.998130i | \(0.519472\pi\) |
−0.998130 | + | 0.0611349i | \(0.980528\pi\) | |||||||
\(504\) | −2.36043 | − | 7.57815i | −0.105142 | − | 0.337558i | ||||
\(505\) | −4.70656 | + | 4.64313i | −0.209439 | + | 0.206617i | ||||
\(506\) | −3.89270 | − | 2.24745i | −0.173052 | − | 0.0999114i | ||||
\(507\) | 24.2148 | + | 5.42388i | 1.07542 | + | 0.240883i | ||||
\(508\) | 2.01560 | − | 7.52231i | 0.0894277 | − | 0.333749i | ||||
\(509\) | −9.24940 | + | 16.0204i | −0.409972 | + | 0.710093i | −0.994886 | − | 0.101002i | \(-0.967795\pi\) |
0.584914 | + | 0.811095i | \(0.301128\pi\) | |||||||
\(510\) | 28.8832 | − | 1.00156i | 1.27897 | − | 0.0443497i | ||||
\(511\) | −14.0716 | − | 4.42291i | −0.622492 | − | 0.195658i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 11.8046 | − | 4.79912i | 0.521185 | − | 0.211886i | ||||
\(514\) | 22.2823 | − | 12.8647i | 0.982829 | − | 0.567436i | ||||
\(515\) | −20.1521 | + | 11.4532i | −0.888007 | + | 0.504690i | ||||
\(516\) | 1.44646 | − | 2.76384i | 0.0636767 | − | 0.121671i | ||||
\(517\) | 8.89969 | − | 8.89969i | 0.391408 | − | 0.391408i | ||||
\(518\) | −12.9682 | + | 6.76560i | −0.569791 | + | 0.297263i | ||||
\(519\) | −1.88993 | + | 0.0783751i | −0.0829586 | + | 0.00344028i | ||||
\(520\) | −11.3110 | + | 2.94869i | −0.496022 | + | 0.129308i | ||||
\(521\) | −25.4519 | + | 14.6946i | −1.11507 | + | 0.643784i | −0.940137 | − | 0.340797i | \(-0.889303\pi\) |
−0.174929 | + | 0.984581i | \(0.555970\pi\) | |||||||
\(522\) | 4.39481 | + | 0.794760i | 0.192356 | + | 0.0347857i | ||||
\(523\) | −19.2076 | + | 5.14665i | −0.839888 | + | 0.225047i | −0.653023 | − | 0.757338i | \(-0.726499\pi\) |
−0.186865 | + | 0.982386i | \(0.559833\pi\) | |||||||
\(524\) | 14.4806 | 0.632588 | ||||||||
\(525\) | −22.2178 | + | 5.60078i | −0.969665 | + | 0.244438i | ||||
\(526\) | 0.913979 | 0.0398514 | ||||||||
\(527\) | 37.7970 | − | 10.1277i | 1.64646 | − | 0.441168i | ||||
\(528\) | 6.90888 | + | 1.54752i | 0.300671 | + | 0.0673473i | ||||
\(529\) | 18.8714 | − | 10.8954i | 0.820496 | − | 0.473714i | ||||
\(530\) | −12.3347 | + | 3.21554i | −0.535783 | + | 0.139674i | ||||
\(531\) | −2.52930 | − | 30.4432i | −0.109762 | − | 1.32112i | ||||
\(532\) | −0.277211 | + | 6.48241i | −0.0120186 | + | 0.281048i | ||||
\(533\) | −24.9241 | + | 24.9241i | −1.07958 | + | 1.07958i | ||||
\(534\) | −20.5962 | − | 10.7790i | −0.891284 | − | 0.466453i | ||||
\(535\) | 2.47507 | − | 1.40668i | 0.107006 | − | 0.0608161i | ||||
\(536\) | 3.04245 | − | 1.75656i | 0.131414 | − | 0.0758718i | ||||
\(537\) | −8.77554 | + | 2.74583i | −0.378692 | + | 0.118491i | ||||
\(538\) | 5.74033 | + | 5.74033i | 0.247483 | + | 0.247483i | ||||
\(539\) | 25.9112 | − | 12.1391i | 1.11607 | − | 0.522870i | ||||
\(540\) | 1.36272 | + | 11.5388i | 0.0586419 | + | 0.496549i | ||||
\(541\) | 8.30525 | − | 14.3851i | 0.357071 | − | 0.618465i | −0.630399 | − | 0.776271i | \(-0.717109\pi\) |
0.987470 | + | 0.157806i | \(0.0504422\pi\) | |||||||
\(542\) | 0.0742198 | − | 0.276992i | 0.00318801 | − | 0.0118978i | ||||
\(543\) | −5.20491 | + | 23.2372i | −0.223364 | + | 0.997204i | ||||
\(544\) | 6.46236 | + | 3.73105i | 0.277072 | + | 0.159967i | ||||
\(545\) | −4.73858 | + | 4.67472i | −0.202978 | + | 0.200243i | ||||
\(546\) | 16.9172 | + | 16.9609i | 0.723988 | + | 0.725860i | ||||
\(547\) | 3.70807 | − | 3.70807i | 0.158545 | − | 0.158545i | −0.623376 | − | 0.781922i | \(-0.714240\pi\) |
0.781922 | + | 0.623376i | \(0.214240\pi\) | |||||||
\(548\) | 3.10449 | + | 11.5861i | 0.132617 | + | 0.494934i | ||||
\(549\) | 4.01753 | − | 2.78700i | 0.171464 | − | 0.118946i | ||||
\(550\) | 5.55721 | − | 19.6684i | 0.236960 | − | 0.838664i | ||||
\(551\) | −3.16170 | − | 1.82541i | −0.134693 | − | 0.0777651i | ||||
\(552\) | 1.28980 | − | 1.40140i | 0.0548974 | − | 0.0596476i | ||||
\(553\) | 13.4217 | − | 21.1096i | 0.570751 | − | 0.897672i | ||||
\(554\) | 32.1963 | 1.36789 | ||||||||
\(555\) | 20.4776 | − | 6.25517i | 0.869227 | − | 0.265517i | ||||
\(556\) | −3.62697 | − | 6.28210i | −0.153818 | − | 0.266420i | ||||
\(557\) | 9.75350 | − | 36.4006i | 0.413269 | − | 1.54234i | −0.375008 | − | 0.927022i | \(-0.622360\pi\) |
0.788277 | − | 0.615320i | \(-0.210973\pi\) | |||||||
\(558\) | 5.31582 | + | 14.8063i | 0.225036 | + | 0.626800i | ||||
\(559\) | 9.41486i | 0.398206i | ||||||||
\(560\) | −5.63169 | − | 1.81219i | −0.237982 | − | 0.0765791i | ||||
\(561\) | 52.7868 | − | 2.18906i | 2.22866 | − | 0.0924223i | ||||
\(562\) | 1.66605 | + | 6.21780i | 0.0702782 | + | 0.262282i | ||||
\(563\) | 35.5103 | + | 9.51495i | 1.49658 | + | 0.401007i | 0.911953 | − | 0.410295i | \(-0.134574\pi\) |
0.584627 | + | 0.811302i | \(0.301241\pi\) | |||||||
\(564\) | 2.85558 | + | 4.50408i | 0.120242 | + | 0.189656i | ||||
\(565\) | 4.41880 | − | 7.53508i | 0.185900 | − | 0.317003i | ||||
\(566\) | − | 1.96358i | − | 0.0825353i | ||||||
\(567\) | 19.0044 | − | 14.3469i | 0.798109 | − | 0.602513i | ||||
\(568\) | 4.17036 | + | 4.17036i | 0.174984 | + | 0.174984i | ||||
\(569\) | 9.38493 | − | 16.2552i | 0.393437 | − | 0.681452i | −0.599464 | − | 0.800402i | \(-0.704619\pi\) |
0.992900 | + | 0.118950i | \(0.0379528\pi\) | |||||||
\(570\) | 2.13883 | − | 9.25399i | 0.0895859 | − | 0.387607i | ||||
\(571\) | −16.9888 | − | 29.4255i | −0.710960 | − | 1.23142i | −0.964497 | − | 0.264093i | \(-0.914928\pi\) |
0.253538 | − | 0.967326i | \(-0.418406\pi\) | |||||||
\(572\) | −20.6403 | + | 5.53055i | −0.863014 | + | 0.231244i | ||||
\(573\) | −1.97693 | + | 2.14799i | −0.0825875 | + | 0.0897336i | ||||
\(574\) | −17.4134 | + | 3.87682i | −0.726821 | + | 0.161815i | ||||
\(575\) | −3.83464 | − | 3.94014i | −0.159916 | − | 0.164315i | ||||
\(576\) | −1.27974 | + | 2.71335i | −0.0533223 | + | 0.113056i | ||||
\(577\) | −22.2872 | − | 5.97184i | −0.927829 | − | 0.248611i | −0.236900 | − | 0.971534i | \(-0.576132\pi\) |
−0.690929 | + | 0.722923i | \(0.742798\pi\) | |||||||
\(578\) | 37.3648 | + | 10.0119i | 1.55417 | + | 0.416439i | ||||
\(579\) | −5.22442 | − | 2.73420i | −0.217119 | − | 0.113629i | ||||
\(580\) | 2.36975 | − | 2.33781i | 0.0983986 | − | 0.0970725i | ||||
\(581\) | −15.9758 | − | 17.4032i | −0.662787 | − | 0.722005i | ||||
\(582\) | −9.39941 | − | 8.65087i | −0.389618 | − | 0.358590i | ||||
\(583\) | −22.5082 | + | 6.03105i | −0.932194 | + | 0.249781i | ||||
\(584\) | 2.78756 | + | 4.82819i | 0.115350 | + | 0.199792i | ||||
\(585\) | −19.7919 | − | 28.9480i | −0.818296 | − | 1.19685i | ||||
\(586\) | −0.970865 | + | 1.68159i | −0.0401061 | + | 0.0694657i | ||||
\(587\) | −21.5670 | − | 21.5670i | −0.890166 | − | 0.890166i | 0.104372 | − | 0.994538i | \(-0.466717\pi\) |
−0.994538 | + | 0.104372i | \(0.966717\pi\) | |||||||
\(588\) | 2.61951 | + | 11.8380i | 0.108027 | + | 0.488191i | ||||
\(589\) | − | 12.8599i | − | 0.529881i | ||||||
\(590\) | −19.6410 | − | 11.5181i | −0.808607 | − | 0.474192i | ||||
\(591\) | −24.7880 | + | 15.7156i | −1.01964 | + | 0.646452i | ||||
\(592\) | 5.34010 | + | 1.43087i | 0.219477 | + | 0.0588086i | ||||
\(593\) | −0.694994 | − | 2.59375i | −0.0285400 | − | 0.106513i | 0.950187 | − | 0.311682i | \(-0.100892\pi\) |
−0.978727 | + | 0.205169i | \(0.934226\pi\) | |||||||
\(594\) | 2.63418 | + | 21.0763i | 0.108082 | + | 0.864769i | ||||
\(595\) | −44.0922 | − | 2.18530i | −1.80761 | − | 0.0895884i | ||||
\(596\) | − | 11.4395i | − | 0.468581i | ||||||
\(597\) | −2.18400 | − | 6.97997i | −0.0893854 | − | 0.285671i | ||||
\(598\) | −1.48776 | + | 5.55241i | −0.0608392 | + | 0.227055i | ||||
\(599\) | −8.81980 | − | 15.2764i | −0.360367 | − | 0.624175i | 0.627654 | − | 0.778493i | \(-0.284015\pi\) |
−0.988021 | + | 0.154318i | \(0.950682\pi\) | |||||||
\(600\) | 7.61779 | + | 4.11938i | 0.310995 | + | 0.168173i | ||||
\(601\) | −25.1426 | −1.02559 | −0.512794 | − | 0.858512i | \(-0.671390\pi\) | ||||
−0.512794 | + | 0.858512i | \(0.671390\pi\) | |||||||
\(602\) | −2.55666 | + | 4.02110i | −0.104202 | + | 0.163888i | ||||
\(603\) | 8.04390 | + | 6.80981i | 0.327573 | + | 0.277317i | ||||
\(604\) | −11.7061 | − | 6.75854i | −0.476316 | − | 0.275001i | ||||
\(605\) | 3.38768 | − | 12.3084i | 0.137729 | − | 0.500407i | ||||
\(606\) | −2.74214 | − | 4.32515i | −0.111392 | − | 0.175697i | ||||
\(607\) | −11.1403 | − | 41.5761i | −0.452170 | − | 1.68752i | −0.696277 | − | 0.717773i | \(-0.745161\pi\) |
0.244107 | − | 0.969748i | \(-0.421505\pi\) | |||||||
\(608\) | 1.73408 | − | 1.73408i | 0.0703262 | − | 0.0703262i | ||||
\(609\) | −6.58733 | − | 1.77419i | −0.266932 | − | 0.0718938i | ||||
\(610\) | 0.0247237 | − | 3.64439i | 0.00100103 | − | 0.147557i | ||||
\(611\) | −13.9392 | − | 8.04780i | −0.563920 | − | 0.325579i | ||||
\(612\) | −3.98373 | + | 22.0290i | −0.161033 | + | 0.890468i | ||||
\(613\) | 7.63014 | − | 28.4761i | 0.308178 | − | 1.15014i | −0.621996 | − | 0.783020i | \(-0.713678\pi\) |
0.930175 | − | 0.367117i | \(-0.119655\pi\) | |||||||
\(614\) | −7.08776 | + | 12.2764i | −0.286039 | + | 0.495433i | ||||
\(615\) | 26.0990 | − | 0.905011i | 1.05241 | − | 0.0364936i | ||||
\(616\) | −10.3174 | − | 3.24289i | −0.415698 | − | 0.130660i | ||||
\(617\) | 21.8338 | + | 21.8338i | 0.878994 | + | 0.878994i | 0.993431 | − | 0.114437i | \(-0.0365063\pi\) |
−0.114437 | + | 0.993431i | \(0.536506\pi\) | |||||||
\(618\) | −5.36161 | − | 17.1354i | −0.215675 | − | 0.689288i | ||||
\(619\) | −22.7455 | + | 13.1321i | −0.914221 | + | 0.527826i | −0.881787 | − | 0.471648i | \(-0.843659\pi\) |
−0.0324339 | + | 0.999474i | \(0.510326\pi\) | |||||||
\(620\) | 11.3053 | + | 3.11159i | 0.454031 | + | 0.124964i | ||||
\(621\) | 5.26440 | + | 2.22117i | 0.211253 | + | 0.0891323i | ||||
\(622\) | 2.66880 | − | 2.66880i | 0.107009 | − | 0.107009i | ||||
\(623\) | 29.9653 | + | 19.0523i | 1.20053 | + | 0.763314i | ||||
\(624\) | −0.375159 | − | 9.04653i | −0.0150184 | − | 0.362151i | ||||
\(625\) | 13.0828 | − | 21.3035i | 0.523313 | − | 0.852140i | ||||
\(626\) | −23.4389 | + | 13.5325i | −0.936807 | + | 0.540866i | ||||
\(627\) | 3.79508 | − | 16.9431i | 0.151561 | − | 0.676641i | ||||
\(628\) | −9.60302 | + | 2.57312i | −0.383202 | + | 0.102679i | ||||
\(629\) | 41.2540 | 1.64490 | ||||||||
\(630\) | −0.592163 | − | 17.7384i | −0.0235924 | − | 0.706713i | ||||
\(631\) | 29.2208 | 1.16326 | 0.581631 | − | 0.813452i | \(-0.302415\pi\) | ||||
0.581631 | + | 0.813452i | \(0.302415\pi\) | |||||||
\(632\) | −9.13268 | + | 2.44710i | −0.363279 | + | 0.0973402i | ||||
\(633\) | −0.661339 | + | 2.95253i | −0.0262858 | + | 0.117353i | ||||
\(634\) | −18.4071 | + | 10.6273i | −0.731038 | + | 0.422065i | ||||
\(635\) | 8.80899 | − | 15.0213i | 0.349574 | − | 0.596104i | ||||
\(636\) | −0.409110 | − | 9.86523i | −0.0162223 | − | 0.391182i | ||||
\(637\) | −23.5714 | − | 27.9893i | −0.933934 | − | 1.10898i | ||||
\(638\) | 4.30297 | − | 4.30297i | 0.170356 | − | 0.170356i | ||||
\(639\) | −7.54759 | + | 16.0027i | −0.298578 | + | 0.633058i | ||||
\(640\) | 1.10487 | + | 1.94403i | 0.0436739 | + | 0.0768446i | ||||
\(641\) | 40.0771 | − | 23.1385i | 1.58295 | − | 0.913916i | 0.588522 | − | 0.808481i | \(-0.299710\pi\) |
0.994426 | − | 0.105435i | \(-0.0336235\pi\) | |||||||
\(642\) | 0.658509 | + | 2.10456i | 0.0259893 | + | 0.0830605i | ||||
\(643\) | 26.7885 | + | 26.7885i | 1.05644 | + | 1.05644i | 0.998309 | + | 0.0581268i | \(0.0185128\pi\) |
0.0581268 | + | 0.998309i | \(0.481487\pi\) | |||||||
\(644\) | −2.14322 | + | 1.96743i | −0.0844546 | + | 0.0775277i | ||||
\(645\) | 4.75841 | − | 5.10027i | 0.187362 | − | 0.200823i | ||||
\(646\) | 9.14987 | − | 15.8480i | 0.359997 | − | 0.623532i | ||||
\(647\) | −0.497092 | + | 1.85517i | −0.0195427 | + | 0.0729343i | −0.975009 | − | 0.222167i | \(-0.928687\pi\) |
0.955466 | + | 0.295102i | \(0.0953535\pi\) | |||||||
\(648\) | −8.95855 | − | 0.862807i | −0.351925 | − | 0.0338943i | ||||
\(649\) | −36.0471 | − | 20.8118i | −1.41497 | − | 0.816935i | ||||
\(650\) | −26.1351 | − | 0.354619i | −1.02510 | − | 0.0139093i | ||||
\(651\) | −6.18956 | − | 23.2196i | −0.242588 | − | 0.910050i | ||||
\(652\) | −8.21531 | + | 8.21531i | −0.321736 | + | 0.321736i | ||||
\(653\) | 12.8443 | + | 47.9356i | 0.502636 | + | 1.87586i | 0.482179 | + | 0.876073i | \(0.339845\pi\) |
0.0204570 | + | 0.999791i | \(0.493488\pi\) | |||||||
\(654\) | −2.76080 | − | 4.35457i | −0.107956 | − | 0.170277i | ||||
\(655\) | 31.2187 | + | 8.59244i | 1.21982 | + | 0.335734i | ||||
\(656\) | 5.83942 | + | 3.37139i | 0.227991 | + | 0.131631i | ||||
\(657\) | −10.8068 | + | 12.7652i | −0.421612 | + | 0.498018i | ||||
\(658\) | −3.76802 | − | 7.22250i | −0.146893 | − | 0.281562i | ||||
\(659\) | −23.0084 | −0.896279 | −0.448139 | − | 0.893964i | \(-0.647913\pi\) | ||||
−0.448139 | + | 0.893964i | \(0.647913\pi\) | |||||||
\(660\) | 13.9766 | + | 7.43587i | 0.544038 | + | 0.289441i | ||||
\(661\) | 15.1551 | + | 26.2494i | 0.589465 | + | 1.02098i | 0.994303 | + | 0.106594i | \(0.0339947\pi\) |
−0.404838 | + | 0.914389i | \(0.632672\pi\) | |||||||
\(662\) | −1.06197 | + | 3.96332i | −0.0412746 | + | 0.154039i | ||||
\(663\) | −20.1759 | − | 64.4813i | −0.783569 | − | 2.50425i | ||||
\(664\) | 8.92905i | 0.346514i | ||||||||
\(665\) | −4.44414 | + | 13.8109i | −0.172336 | + | 0.535565i | ||||
\(666\) | 1.37323 | + | 16.5285i | 0.0532115 | + | 0.640465i | ||||
\(667\) | −0.423688 | − | 1.58122i | −0.0164052 | − | 0.0612252i | ||||
\(668\) | −21.4390 | − | 5.74456i | −0.829499 | − | 0.222264i | ||||
\(669\) | 10.8892 | − | 6.90373i | 0.421000 | − | 0.266914i | ||||
\(670\) | 7.60151 | − | 1.98165i | 0.293672 | − | 0.0765577i | ||||
\(671\) | − | 6.66235i | − | 0.257197i | ||||||
\(672\) | 2.29641 | − | 3.96566i | 0.0885860 | − | 0.152979i | ||||
\(673\) | −15.1720 | − | 15.1720i | −0.584839 | − | 0.584839i | 0.351390 | − | 0.936229i | \(-0.385709\pi\) |
−0.936229 | + | 0.351390i | \(0.885709\pi\) | |||||||
\(674\) | −8.18434 | + | 14.1757i | −0.315249 | + | 0.546027i | ||||
\(675\) | −3.90895 | + | 25.6850i | −0.150455 | + | 0.988617i | ||||
\(676\) | 7.16342 | + | 12.4074i | 0.275516 | + | 0.477208i | ||||
\(677\) | 25.6687 | − | 6.87791i | 0.986529 | − | 0.264340i | 0.270737 | − | 0.962653i | \(-0.412733\pi\) |
0.715792 | + | 0.698314i | \(0.246066\pi\) | |||||||
\(678\) | 4.97858 | + | 4.58210i | 0.191201 | + | 0.175975i | ||||
\(679\) | 13.1959 | + | 14.3749i | 0.506411 | + | 0.551658i | ||||
\(680\) | 11.7183 | + | 11.8784i | 0.449376 | + | 0.455515i | ||||
\(681\) | 10.8736 | + | 5.69072i | 0.416679 | + | 0.218069i | ||||
\(682\) | 20.7049 | + | 5.54787i | 0.792832 | + | 0.212439i | ||||
\(683\) | −18.9333 | − | 5.07317i | −0.724464 | − | 0.194119i | −0.122301 | − | 0.992493i | \(-0.539027\pi\) |
−0.602163 | + | 0.798374i | \(0.705694\pi\) | |||||||
\(684\) | 6.65411 | + | 3.13837i | 0.254426 | + | 0.119999i | ||||
\(685\) | −0.181952 | + | 26.8206i | −0.00695203 | + | 1.02476i | ||||
\(686\) | −2.46671 | − | 18.3553i | −0.0941795 | − | 0.700807i | ||||
\(687\) | 3.41922 | − | 3.71507i | 0.130451 | − | 0.141739i | ||||
\(688\) | 1.73965 | − | 0.466139i | 0.0663237 | − | 0.0177714i | ||||
\(689\) | 14.8999 | + | 25.8074i | 0.567642 | + | 0.983185i | ||||
\(690\) | 3.61223 | − | 2.25594i | 0.137515 | − | 0.0858824i | ||||
\(691\) | 17.1906 | − | 29.7749i | 0.653960 | − | 1.13269i | −0.328194 | − | 0.944610i | \(-0.606440\pi\) |
0.982154 | − | 0.188081i | \(-0.0602267\pi\) | |||||||
\(692\) | −0.772223 | − | 0.772223i | −0.0293555 | − | 0.0293555i | ||||
\(693\) | −1.30247 | − | 32.4188i | −0.0494768 | − | 1.23149i | ||||
\(694\) | − | 31.2718i | − | 1.18706i | ||||||
\(695\) | −4.09174 | − | 15.6957i | −0.155209 | − | 0.595373i | ||||
\(696\) | 1.38067 | + | 2.17771i | 0.0523341 | + | 0.0825459i | ||||
\(697\) | 48.6008 | + | 13.0226i | 1.84089 | + | 0.493264i | ||||
\(698\) | 6.84487 | + | 25.5454i | 0.259082 | + | 0.966908i | ||||
\(699\) | −48.0605 | + | 1.99306i | −1.81782 | + | 0.0753846i | ||||
\(700\) | −11.0661 | − | 7.24861i | −0.418258 | − | 0.273972i | ||||
\(701\) | 13.1621i | 0.497124i | 0.968616 | + | 0.248562i | \(0.0799581\pi\) | ||||
−0.968616 | + | 0.248562i | \(0.920042\pi\) | |||||||
\(702\) | 25.1629 | − | 10.2299i | 0.949714 | − | 0.386104i | ||||
\(703\) | 3.50902 | − | 13.0958i | 0.132345 | − | 0.493919i | ||||
\(704\) | 2.04384 | + | 3.54004i | 0.0770302 | + | 0.133420i | ||||
\(705\) | 3.48374 | + | 11.4048i | 0.131205 | + | 0.429529i | ||||
\(706\) | −19.9103 | −0.749335 | ||||||||
\(707\) | 3.61833 | + | 6.93558i | 0.136081 | + | 0.260839i | ||||
\(708\) | 11.9437 | − | 12.9772i | 0.448874 | − | 0.487714i | ||||
\(709\) | −6.02363 | − | 3.47774i | −0.226222 | − | 0.130609i | 0.382606 | − | 0.923912i | \(-0.375027\pi\) |
−0.608828 | + | 0.793302i | \(0.708360\pi\) | |||||||
\(710\) | 6.51628 | + | 11.4655i | 0.244552 | + | 0.430291i | ||||
\(711\) | −16.1674 | − | 23.3058i | −0.606327 | − | 0.874037i | ||||
\(712\) | −3.47367 | − | 12.9639i | −0.130181 | − | 0.485844i | ||||
\(713\) | 4.07737 | − | 4.07737i | 0.152699 | − | 0.152699i | ||||
\(714\) | 8.89312 | − | 33.0190i | 0.332817 | − | 1.23570i | ||||
\(715\) | −47.7801 | − | 0.324142i | −1.78687 | − | 0.0121222i | ||||
\(716\) | −4.59754 | − | 2.65439i | −0.171818 | − | 0.0991993i | ||||
\(717\) | −2.42585 | + | 10.8301i | −0.0905949 | + | 0.404459i | ||||
\(718\) | 7.31005 | − | 27.2815i | 0.272808 | − | 1.01814i | ||||
\(719\) | 8.04406 | − | 13.9327i | 0.299993 | − | 0.519603i | −0.676141 | − | 0.736772i | \(-0.736349\pi\) |
0.976134 | + | 0.217169i | \(0.0696824\pi\) | |||||||
\(720\) | −4.36902 | + | 5.09035i | −0.162824 | + | 0.189706i | ||||
\(721\) | 5.96010 | + | 26.7708i | 0.221966 | + | 0.996995i | ||||
\(722\) | 9.18245 | + | 9.18245i | 0.341735 | + | 0.341735i | ||||
\(723\) | 22.7791 | − | 7.12748i | 0.847163 | − | 0.265074i | ||||
\(724\) | −11.9065 | + | 6.87422i | −0.442501 | + | 0.255478i | ||||
\(725\) | 6.49615 | − | 3.63394i | 0.241261 | − | 0.134961i | ||||
\(726\) | 8.76126 | + | 4.58520i | 0.325161 | + | 0.170173i | ||||
\(727\) | −15.0421 | + | 15.0421i | −0.557879 | + | 0.557879i | −0.928703 | − | 0.370824i | \(-0.879075\pi\) |
0.370824 | + | 0.928703i | \(0.379075\pi\) | |||||||
\(728\) | −0.590909 | + | 13.8181i | −0.0219005 | + | 0.512131i | ||||
\(729\) | −6.64528 | − | 26.1695i | −0.246122 | − | 0.969239i | ||||
\(730\) | 3.14476 | + | 12.0632i | 0.116393 | + | 0.446477i | ||||
\(731\) | 11.6389 | − | 6.71970i | 0.430479 | − | 0.248537i | ||||
\(732\) | 2.75474 | + | 0.617035i | 0.101818 | + | 0.0228063i | ||||
\(733\) | 7.26892 | − | 1.94770i | 0.268484 | − | 0.0719400i | −0.122066 | − | 0.992522i | \(-0.538952\pi\) |
0.390549 | + | 0.920582i | \(0.372285\pi\) | |||||||
\(734\) | −21.9155 | −0.808915 | ||||||||
\(735\) | −1.37699 | + | 27.0759i | −0.0507909 | + | 0.998709i | ||||
\(736\) | 1.09962 | 0.0405326 | ||||||||
\(737\) | 13.8712 | − | 3.71677i | 0.510952 | − | 0.136909i | ||||
\(738\) | −3.59972 | + | 19.9055i | −0.132508 | + | 0.732731i | ||||
\(739\) | 35.8593 | − | 20.7034i | 1.31911 | − | 0.761586i | 0.335522 | − | 0.942033i | \(-0.391087\pi\) |
0.983585 | + | 0.180446i | \(0.0577541\pi\) | |||||||
\(740\) | 10.6637 | + | 6.25351i | 0.392004 | + | 0.229883i | ||||
\(741\) | −22.1853 | + | 0.920023i | −0.814999 | + | 0.0337979i | ||||
\(742\) | −0.644385 | + | 15.0686i | −0.0236561 | + | 0.553184i | ||||
\(743\) | 27.8973 | − | 27.8973i | 1.02345 | − | 1.02345i | 0.0237355 | − | 0.999718i | \(-0.492444\pi\) |
0.999718 | − | 0.0237355i | \(-0.00755596\pi\) | |||||||
\(744\) | −4.21151 | + | 8.04722i | −0.154402 | + | 0.295026i | ||||
\(745\) | 6.78793 | − | 24.6625i | 0.248691 | − | 0.903562i | ||||
\(746\) | −3.54409 | + | 2.04618i | −0.129758 | + | 0.0749160i | ||||
\(747\) | −25.2115 | + | 9.05155i | −0.922442 | + | 0.331179i | ||||
\(748\) | 21.5687 | + | 21.5687i | 0.788628 | + | 0.788628i | ||||
\(749\) | −0.732016 | − | 3.28797i | −0.0267473 | − | 0.120140i | ||||
\(750\) | 13.9788 | + | 13.4012i | 0.510435 | + | 0.489342i | ||||
\(751\) | −23.2055 | + | 40.1931i | −0.846781 | + | 1.46667i | 0.0372844 | + | 0.999305i | \(0.488129\pi\) |
−0.884065 | + | 0.467363i | \(0.845204\pi\) | |||||||
\(752\) | −0.796909 | + | 2.97410i | −0.0290603 | + | 0.108454i | ||||
\(753\) | 26.6104 | + | 5.96048i | 0.969738 | + | 0.217212i | ||||
\(754\) | −6.73956 | − | 3.89109i | −0.245440 | − | 0.141705i | ||||
\(755\) | −21.2269 | − | 21.5169i | −0.772526 | − | 0.783079i | ||||
\(756\) | 13.5251 | + | 2.46393i | 0.491904 | + | 0.0896124i | ||||
\(757\) | −10.4877 | + | 10.4877i | −0.381181 | + | 0.381181i | −0.871528 | − | 0.490346i | \(-0.836870\pi\) |
0.490346 | + | 0.871528i | \(0.336870\pi\) | |||||||
\(758\) | −3.12668 | − | 11.6689i | −0.113566 | − | 0.423835i | ||||
\(759\) | 6.57527 | − | 4.16872i | 0.238667 | − | 0.151315i | ||||
\(760\) | 4.76746 | − | 2.70954i | 0.172934 | − | 0.0982854i | ||||
\(761\) | −22.6579 | − | 13.0816i | −0.821350 | − | 0.474207i | 0.0295319 | − | 0.999564i | \(-0.490598\pi\) |
−0.850882 | + | 0.525357i | \(0.823932\pi\) | |||||||
\(762\) | 9.92491 | + | 9.13452i | 0.359542 | + | 0.330909i | ||||
\(763\) | 3.64295 | + | 6.98276i | 0.131884 | + | 0.252793i | ||||
\(764\) | −1.68544 | −0.0609771 | ||||||||
\(765\) | −21.6600 | + | 45.1284i | −0.783119 | + | 1.63162i | ||||
\(766\) | −16.2451 | − | 28.1374i | −0.586960 | − | 1.01664i | ||||
\(767\) | −13.7770 | + | 51.4163i | −0.497457 | + | 1.85653i | ||||
\(768\) | −1.65302 | + | 0.517224i | −0.0596483 | + | 0.0186637i | ||||
\(769\) | 51.0736i | 1.84176i | 0.389843 | + | 0.920881i | \(0.372529\pi\) | ||||
−0.389843 | + | 0.920881i | \(0.627471\pi\) | |||||||
\(770\) | −20.3189 | − | 13.1134i | −0.732243 | − | 0.472575i | ||||
\(771\) | 1.84650 | + | 44.5263i | 0.0665000 | + | 1.60357i | ||||
\(772\) | −0.881131 | − | 3.28843i | −0.0317126 | − | 0.118353i | ||||
\(773\) | −35.3002 | − | 9.45865i | −1.26966 | − | 0.340204i | −0.439759 | − | 0.898116i | \(-0.644936\pi\) |
−0.829900 | + | 0.557912i | \(0.811603\pi\) | |||||||
\(774\) | 3.07968 | + | 4.43945i | 0.110697 | + | 0.159573i | ||||
\(775\) | 22.5267 | + | 13.4166i | 0.809183 | + | 0.481937i | ||||
\(776\) | − | 7.37533i | − | 0.264759i | ||||||
\(777\) | 0.0327166 | − | 25.3346i | 0.00117370 | − | 0.908875i | ||||
\(778\) | 0.0216633 | + | 0.0216633i | 0.000776666 | + | 0.000776666i | ||||
\(779\) | 8.26786 | − | 14.3203i | 0.296227 | − | 0.513080i | ||||
\(780\) | 4.55919 | − | 19.7260i | 0.163245 | − | 0.706305i | ||||
\(781\) | 12.0541 | + | 20.8784i | 0.431330 | + | 0.747086i | ||||
\(782\) | 7.92588 | − | 2.12373i | 0.283429 | − | 0.0759446i | ||||
\(783\) | −4.74924 | + | 6.10595i | −0.169724 | + | 0.218209i | ||||
\(784\) | −4.00476 | + | 5.74125i | −0.143027 | + | 0.205045i | ||||
\(785\) | −22.2300 | − | 0.150809i | −0.793422 | − | 0.00538260i | ||||
\(786\) | −11.6298 | + | 22.2219i | −0.414822 | + | 0.792627i | ||||
\(787\) | 13.2276 | + | 3.54432i | 0.471513 | + | 0.126342i | 0.486748 | − | 0.873542i | \(-0.338183\pi\) |
−0.0152350 | + | 0.999884i | \(0.504850\pi\) | |||||||
\(788\) | −16.3678 | − | 4.38575i | −0.583080 | − | 0.156236i | ||||
\(789\) | −0.734044 | + | 1.40259i | −0.0261327 | + | 0.0499334i | ||||
\(790\) | −21.1412 | − | 0.143423i | −0.752170 | − | 0.00510275i | ||||
\(791\) | −6.98945 | − | 7.61394i | −0.248516 | − | 0.270721i | ||||
\(792\) | −7.92355 | + | 9.35947i | −0.281551 | + | 0.332574i | ||||
\(793\) | −8.22978 | + | 2.20516i | −0.292248 | + | 0.0783076i | ||||
\(794\) | −11.4749 | − | 19.8751i | −0.407228 | − | 0.705340i | ||||
\(795\) | 4.97179 | − | 21.5112i | 0.176331 | − | 0.762924i | ||||
\(796\) | 2.11128 | − | 3.65684i | 0.0748322 | − | 0.129613i | ||||
\(797\) | −0.268242 | − | 0.268242i | −0.00950163 | − | 0.00950163i | 0.702340 | − | 0.711842i | \(-0.252139\pi\) |
−0.711842 | + | 0.702340i | \(0.752139\pi\) | |||||||
\(798\) | −9.72523 | − | 5.63162i | −0.344269 | − | 0.199357i | ||||
\(799\) | 22.9759i | 0.812830i | ||||||||
\(800\) | 1.22845 | + | 4.84674i | 0.0434323 | + | 0.171358i | ||||
\(801\) | 33.0828 | − | 22.9498i | 1.16892 | − | 0.810893i | ||||
\(802\) | 16.2237 | + | 4.34713i | 0.572879 | + | 0.153503i | ||||
\(803\) | 5.89830 | + | 22.0128i | 0.208147 | + | 0.776814i | ||||
\(804\) | 0.252123 | + | 6.07967i | 0.00889170 | + | 0.214413i | ||||
\(805\) | −5.78799 | + | 2.96985i | −0.204000 | + | 0.104674i | ||||
\(806\) | − | 27.4124i | − | 0.965560i | ||||||
\(807\) | −13.4193 | + | 4.19885i | −0.472383 | + | 0.147807i | ||||
\(808\) | 0.765250 | − | 2.85595i | 0.0269214 | − | 0.100472i | ||||
\(809\) | −12.6754 | − | 21.9544i | −0.445642 | − | 0.771875i | 0.552454 | − | 0.833543i | \(-0.313691\pi\) |
−0.998097 | + | 0.0616679i | \(0.980358\pi\) | |||||||
\(810\) | −18.8018 | − | 7.17591i | −0.660627 | − | 0.252136i | ||||
\(811\) | 44.0597 | 1.54714 | 0.773572 | − | 0.633708i | \(-0.218468\pi\) | ||||
0.773572 | + | 0.633708i | \(0.218468\pi\) | |||||||
\(812\) | −1.82183 | − | 3.49206i | −0.0639336 | − | 0.122547i | ||||
\(813\) | 0.365462 | + | 0.336358i | 0.0128173 | + | 0.0117966i | ||||
\(814\) | 19.5710 | + | 11.2993i | 0.685964 | + | 0.396041i | ||||
\(815\) | −22.5861 | + | 12.8366i | −0.791158 | + | 0.449647i | ||||
\(816\) | −10.9158 | + | 6.92059i | −0.382128 | + | 0.242269i | ||||
\(817\) | −1.14314 | − | 4.26626i | −0.0399934 | − | 0.149257i | ||||
\(818\) | 20.1012 | − | 20.1012i | 0.702822 | − | 0.702822i | ||||
\(819\) | −39.6148 | + | 12.3392i | −1.38425 | + | 0.431166i | ||||
\(820\) | 10.5887 | + | 10.7334i | 0.369774 | + | 0.374825i | ||||
\(821\) | 39.8047 | + | 22.9813i | 1.38919 | + | 0.802051i | 0.993224 | − | 0.116213i | \(-0.0370754\pi\) |
0.395969 | + | 0.918264i | \(0.370409\pi\) | |||||||
\(822\) | −20.2733 | − | 4.54102i | −0.707113 | − | 0.158386i | ||||
\(823\) | −5.37097 | + | 20.0447i | −0.187220 | + | 0.698716i | 0.806924 | + | 0.590655i | \(0.201131\pi\) |
−0.994144 | + | 0.108061i | \(0.965536\pi\) | |||||||
\(824\) | 5.18306 | − | 8.97733i | 0.180561 | − | 0.312740i | ||||
\(825\) | 25.7199 | + | 24.3244i | 0.895451 | + | 0.846866i | ||||
\(826\) | −19.8466 | + | 18.2188i | −0.690550 | + | 0.633912i | ||||
\(827\) | 15.6135 | + | 15.6135i | 0.542934 | + | 0.542934i | 0.924388 | − | 0.381454i | \(-0.124577\pi\) |
−0.381454 | + | 0.924388i | \(0.624577\pi\) | |||||||
\(828\) | 1.11471 | + | 3.10482i | 0.0387388 | + | 0.107900i | ||||
\(829\) | 12.2584 | − | 7.07737i | 0.425751 | − | 0.245807i | −0.271784 | − | 0.962358i | \(-0.587614\pi\) |
0.697535 | + | 0.716551i | \(0.254280\pi\) | |||||||
\(830\) | −5.29829 | + | 19.2501i | −0.183906 | + | 0.668182i | ||||
\(831\) | −25.8578 | + | 49.4082i | −0.896997 | + | 1.71395i | ||||
\(832\) | 3.69641 | − | 3.69641i | 0.128150 | − | 0.128150i | ||||
\(833\) | −17.7773 | + | 49.1165i | −0.615949 | + | 1.70178i | ||||
\(834\) | 12.5534 | − | 0.520588i | 0.434689 | − | 0.0180265i | ||||
\(835\) | −42.8116 | − | 25.1061i | −1.48156 | − | 0.868832i | ||||
\(836\) | 8.68144 | − | 5.01223i | 0.300254 | − | 0.173352i | ||||
\(837\) | −26.9909 | − | 3.73375i | −0.932944 | − | 0.129057i | ||||
\(838\) | −19.4243 | + | 5.20473i | −0.671002 | + | 0.179794i | ||||
\(839\) | 7.87337 | 0.271819 | 0.135909 | − | 0.990721i | \(-0.456604\pi\) | ||||
0.135909 | + | 0.990721i | \(0.456604\pi\) | |||||||
\(840\) | 7.30396 | − | 7.18694i | 0.252011 | − | 0.247973i | ||||
\(841\) | −26.7838 | −0.923579 | ||||||||
\(842\) | −0.450728 | + | 0.120772i | −0.0155331 | + | 0.00416208i | ||||
\(843\) | −10.8799 | − | 2.43698i | −0.374722 | − | 0.0839342i | ||||
\(844\) | −1.51285 | + | 0.873442i | −0.0520743 | + | 0.0300651i | ||||
\(845\) | 8.08136 | + | 30.9997i | 0.278007 | + | 1.06642i | ||||
\(846\) | −9.20534 | + | 0.764804i | −0.316486 | + | 0.0262945i | ||||
\(847\) | −12.7467 | − | 8.10451i | −0.437982 | − | 0.278474i | ||||
\(848\) | 4.03092 | − | 4.03092i | 0.138422 | − | 0.138422i | ||||
\(849\) | 3.01329 | + | 1.57701i | 0.103416 | + | 0.0541228i | ||||
\(850\) | 18.2151 | + | 32.5619i | 0.624774 | + | 1.11687i | ||||
\(851\) | 5.26476 | − | 3.03961i | 0.180474 | − | 0.104197i | ||||
\(852\) | −9.74915 | + | 3.05047i | −0.334000 | + | 0.104507i | ||||
\(853\) | 7.40770 | + | 7.40770i | 0.253635 | + | 0.253635i | 0.822459 | − | 0.568824i | \(-0.192602\pi\) |
−0.568824 | + | 0.822459i | \(0.692602\pi\) | |||||||
\(854\) | −4.11378 | − | 1.29302i | −0.140771 | − | 0.0442462i | ||||
\(855\) | 12.4834 | + | 10.7144i | 0.426922 | + | 0.366425i | ||||
\(856\) | −0.636581 | + | 1.10259i | −0.0217579 | + | 0.0376858i | ||||
\(857\) | −9.42103 | + | 35.1598i | −0.321816 | + | 1.20103i | 0.595657 | + | 0.803239i | \(0.296892\pi\) |
−0.917474 | + | 0.397796i | \(0.869775\pi\) | |||||||
\(858\) | 8.08969 | − | 36.1162i | 0.276177 | − | 1.23299i | ||||
\(859\) | −18.8699 | − | 10.8945i | −0.643831 | − | 0.371716i | 0.142258 | − | 0.989830i | \(-0.454564\pi\) |
−0.786089 | + | 0.618114i | \(0.787897\pi\) | |||||||
\(860\) | 4.02712 | + | 0.0273201i | 0.137324 | + | 0.000931607i | ||||
\(861\) | 8.03586 | − | 29.8361i | 0.273862 | − | 1.01681i | ||||
\(862\) | 9.94337 | − | 9.94337i | 0.338672 | − | 0.338672i | ||||
\(863\) | −7.91226 | − | 29.5289i | −0.269336 | − | 1.00518i | −0.959542 | − | 0.281564i | \(-0.909147\pi\) |
0.690206 | − | 0.723613i | \(-0.257520\pi\) | |||||||
\(864\) | −3.13610 | − | 4.14305i | −0.106692 | − | 0.140949i | ||||
\(865\) | −1.20662 | − | 2.12305i | −0.0410262 | − | 0.0721860i | ||||
\(866\) | 9.69177 | + | 5.59555i | 0.329340 | + | 0.190144i | ||||
\(867\) | −45.3729 | + | 49.2990i | −1.54095 | + | 1.67428i | ||||
\(868\) | 7.44400 | − | 11.7079i | 0.252666 | − | 0.397391i | ||||
\(869\) | −38.6484 | −1.31106 | ||||||||
\(870\) | 1.68438 | + | 5.51418i | 0.0571058 | + | 0.186948i | ||||
\(871\) | −9.18242 | − | 15.9044i | −0.311134 | − | 0.538901i | ||||
\(872\) | 0.770456 | − | 2.87538i | 0.0260909 | − | 0.0973727i | ||||
\(873\) | 20.8245 | − | 7.47651i | 0.704803 | − | 0.253042i | ||||
\(874\) | − | 2.69666i | − | 0.0912161i | ||||||
\(875\) | −19.5562 | − | 22.1936i | −0.661119 | − | 0.750281i | ||||
\(876\) | −9.64808 | + | 0.400105i | −0.325978 | + | 0.0135183i | ||||
\(877\) | 5.41309 | + | 20.2019i | 0.182787 | + | 0.682171i | 0.995093 | + | 0.0989398i | \(0.0315451\pi\) |
−0.812306 | + | 0.583231i | \(0.801788\pi\) | |||||||
\(878\) | −1.89284 | − | 0.507186i | −0.0638804 | − | 0.0171167i | ||||
\(879\) | −1.80082 | − | 2.84042i | −0.0607403 | − | 0.0958049i | ||||
\(880\) | 2.30575 | + | 8.84474i | 0.0777267 | + | 0.298156i | ||||
\(881\) | 42.7328i | 1.43971i | 0.694127 | + | 0.719853i | \(0.255791\pi\) | ||||
−0.694127 | + | 0.719853i | \(0.744209\pi\) | |||||||
\(882\) | −20.2703 | − | 5.48757i | −0.682538 | − | 0.184776i | ||||
\(883\) | 11.2379 | + | 11.2379i | 0.378184 | + | 0.378184i | 0.870447 | − | 0.492263i | \(-0.163830\pi\) |
−0.492263 | + | 0.870447i | \(0.663830\pi\) | |||||||
\(884\) | 19.5041 | − | 33.7821i | 0.655993 | − | 1.13621i | ||||
\(885\) | 33.4499 | − | 20.8904i | 1.12441 | − | 0.702225i | ||||
\(886\) | 12.8261 | + | 22.2155i | 0.430902 | + | 0.746344i | ||||
\(887\) | 1.49243 | − | 0.399896i | 0.0501110 | − | 0.0134272i | −0.233676 | − | 0.972314i | \(-0.575076\pi\) |
0.283787 | + | 0.958887i | \(0.408409\pi\) | |||||||
\(888\) | −6.48461 | + | 7.04571i | −0.217609 | + | 0.236438i | ||||
\(889\) | −13.9336 | − | 15.1786i | −0.467319 | − | 0.509073i | ||||
\(890\) | 0.203590 | − | 30.0101i | 0.00682434 | − | 1.00594i | ||||
\(891\) | −34.4591 | − | 12.8846i | −1.15442 | − | 0.431650i | ||||
\(892\) | 7.19027 | + | 1.92663i | 0.240748 | + | 0.0645082i | ||||
\(893\) | 7.29357 | + | 1.95431i | 0.244070 | + | 0.0653984i | ||||
\(894\) | 17.5550 | + | 9.18742i | 0.587128 | + | 0.307273i | ||||
\(895\) | −8.33679 | − | 8.45068i | −0.278668 | − | 0.282475i | ||||
\(896\) | 2.58252 | − | 0.574959i | 0.0862760 | − | 0.0192080i | ||||
\(897\) | −7.32583 | − | 6.74242i | −0.244602 | − | 0.225123i | ||||
\(898\) | 4.36227 | − | 1.16887i | 0.145571 | − | 0.0390056i | ||||
\(899\) | 3.90327 | + | 6.76066i | 0.130181 | + | 0.225481i | ||||
\(900\) | −12.4397 | + | 8.38181i | −0.414655 | + | 0.279394i | ||||
\(901\) | 21.2692 | − | 36.8393i | 0.708579 | − | 1.22729i | ||||
\(902\) | 19.4895 | + | 19.4895i | 0.648930 | + | 0.648930i | ||||
\(903\) | −4.11743 | − | 7.15291i | −0.137019 | − | 0.238034i | ||||
\(904\) | 3.90649i | 0.129928i | ||||||||
\(905\) | −29.7482 | + | 7.75510i | −0.988864 | + | 0.257788i | ||||
\(906\) | 19.7732 | − | 12.5362i | 0.656920 | − | 0.416487i | ||||
\(907\) | 8.33811 | + | 2.23419i | 0.276862 | + | 0.0741851i | 0.394579 | − | 0.918862i | \(-0.370891\pi\) |
−0.117716 | + | 0.993047i | \(0.537557\pi\) | |||||||
\(908\) | 1.83391 | + | 6.84424i | 0.0608604 | + | 0.227134i | ||||
\(909\) | 8.83964 | − | 0.734421i | 0.293192 | − | 0.0243592i | ||||
\(910\) | −9.47324 | + | 29.4397i | −0.314035 | + | 0.975917i | ||||
\(911\) | − | 49.6817i | − | 1.64603i | −0.568020 | − | 0.823015i | \(-0.692290\pi\) | ||
0.568020 | − | 0.823015i | \(-0.307710\pi\) | |||||||
\(912\) | 1.26842 | + | 4.05380i | 0.0420015 | + | 0.134235i | ||||
\(913\) | −9.44668 | + | 35.2555i | −0.312639 | + | 1.16679i | ||||
\(914\) | −14.4552 | − | 25.0372i | −0.478136 | − | 0.828156i | ||||
\(915\) | 5.57281 | + | 2.96486i | 0.184231 | + | 0.0980153i | ||||
\(916\) | 2.91506 | 0.0963164 | ||||||||
\(917\) | 20.5561 | − | 32.3305i | 0.678822 | − | 1.06765i | ||||
\(918\) | −30.6061 | − | 23.8056i | −1.01015 | − | 0.785700i | ||||
\(919\) | 28.8152 | + | 16.6365i | 0.950525 | + | 0.548786i | 0.893244 | − | 0.449572i | \(-0.148424\pi\) |
0.0572812 | + | 0.998358i | \(0.481757\pi\) | |||||||
\(920\) | 2.37067 | + | 0.652489i | 0.0781588 | + | 0.0215119i | ||||
\(921\) | −13.1468 | − | 20.7363i | −0.433203 | − | 0.683286i | ||||
\(922\) | −7.39609 | − | 27.6026i | −0.243577 | − | 0.909043i | ||||
\(923\) | 21.8006 | − | 21.8006i | 0.717575 | − | 0.717575i | ||||
\(924\) | 13.2627 | − | 13.2285i | 0.436311 | − | 0.435186i | ||||
\(925\) | 19.2791 | + | 19.8095i | 0.633893 | + | 0.651332i | ||||
\(926\) | 32.1517 | + | 18.5628i | 1.05657 | + | 0.610012i | ||||
\(927\) | 30.6020 | + | 5.53409i | 1.00510 | + | 0.181763i | ||||
\(928\) | −0.385303 | + | 1.43797i | −0.0126482 | + | 0.0472037i | ||||
\(929\) | 12.5625 | − | 21.7588i | 0.412161 | − | 0.713884i | −0.582965 | − | 0.812497i | \(-0.698108\pi\) |
0.995126 | + | 0.0986138i | \(0.0314408\pi\) | |||||||
\(930\) | −13.8546 | + | 14.8500i | −0.454311 | + | 0.486951i | ||||
\(931\) | 14.0796 | + | 9.82110i | 0.461440 | + | 0.321873i | ||||
\(932\) | −19.6375 | − | 19.6375i | −0.643247 | − | 0.643247i | ||||
\(933\) | 1.95213 | + | 6.23893i | 0.0639100 | + | 0.204253i | ||||
\(934\) | −26.9825 | + | 15.5783i | −0.882893 | + | 0.509738i | ||||
\(935\) | 33.7015 | + | 59.2982i | 1.10216 | + | 1.93926i | ||||
\(936\) | 14.1841 | + | 6.68983i | 0.463621 | + | 0.218664i | ||||
\(937\) | 8.91661 | − | 8.91661i | 0.291293 | − | 0.291293i | −0.546298 | − | 0.837591i | \(-0.683963\pi\) |
0.837591 | + | 0.546298i | \(0.183963\pi\) | |||||||
\(938\) | 0.397117 | − | 9.28634i | 0.0129663 | − | 0.303210i | ||||
\(939\) | −1.94235 | − | 46.8376i | −0.0633861 | − | 1.52849i | ||||
\(940\) | −3.48282 | + | 5.93901i | −0.113597 | + | 0.193709i | ||||
\(941\) | 32.5006 | − | 18.7642i | 1.05949 | − | 0.611696i | 0.134197 | − | 0.990955i | \(-0.457154\pi\) |
0.925291 | + | 0.379259i | \(0.123821\pi\) | |||||||
\(942\) | 3.76378 | − | 16.8033i | 0.122631 | − | 0.547481i | ||||
\(943\) | 7.16186 | − | 1.91901i | 0.233222 | − | 0.0624917i | ||||
\(944\) | 10.1827 | 0.331418 | ||||||||
\(945\) | 27.6968 | + | 13.3375i | 0.900976 | + | 0.433868i | ||||
\(946\) | 7.36201 | 0.239360 | ||||||||
\(947\) | −55.4649 | + | 14.8618i | −1.80237 | + | 0.482943i | −0.994344 | − | 0.106206i | \(-0.966130\pi\) |
−0.808024 | + | 0.589149i | \(0.799463\pi\) | |||||||
\(948\) | 3.57943 | − | 15.9803i | 0.116255 | − | 0.519016i | ||||
\(949\) | 25.2394 | − | 14.5720i | 0.819305 | − | 0.473026i | ||||
\(950\) | 11.8859 | − | 3.01260i | 0.385631 | − | 0.0977417i | ||||
\(951\) | −1.52537 | − | 36.7825i | −0.0494634 | − | 1.19276i | ||||
\(952\) | 17.5039 | − | 9.13192i | 0.567306 | − | 0.295967i | ||||
\(953\) | −22.8327 | + | 22.8327i | −0.739622 | + | 0.739622i | −0.972505 | − | 0.232883i | \(-0.925184\pi\) |
0.232883 | + | 0.972505i | \(0.425184\pi\) | |||||||
\(954\) | 15.4677 | + | 7.29525i | 0.500785 | + | 0.236192i | ||||
\(955\) | −3.63364 | − | 1.00010i | −0.117582 | − | 0.0323625i | ||||
\(956\) | −5.54924 | + | 3.20386i | −0.179475 | + | 0.103620i | ||||
\(957\) | 3.14747 | + | 10.0592i | 0.101743 | + | 0.325167i | ||||
\(958\) | 4.73903 | + | 4.73903i | 0.153111 | + | 0.153111i | ||||
\(959\) | 30.2751 | + | 9.51588i | 0.977633 | + | 0.307284i | ||||
\(960\) | −3.87066 | + | 0.134219i | −0.124925 | + | 0.00433191i | ||||
\(961\) | 1.75089 | − | 3.03263i | 0.0564803 | − | 0.0978268i | ||||
\(962\) | 7.47991 | − | 27.9154i | 0.241162 | − | 0.900028i | ||||
\(963\) | −3.75852 | − | 0.679694i | −0.121117 | − | 0.0219028i | ||||
\(964\) | 11.9341 | + | 6.89013i | 0.384370 | + | 0.221916i | ||||
\(965\) | 0.0516425 | − | 7.61236i | 0.00166243 | − | 0.245051i | ||||
\(966\) | −1.29793 | − | 4.86907i | −0.0417601 | − | 0.156660i | ||||
\(967\) | 10.9688 | − | 10.9688i | 0.352734 | − | 0.352734i | −0.508392 | − | 0.861126i | \(-0.669760\pi\) |
0.861126 | + | 0.508392i | \(0.169760\pi\) | |||||||
\(968\) | 1.47764 | + | 5.51463i | 0.0474932 | + | 0.177247i | ||||
\(969\) | 16.9718 | + | 26.7694i | 0.545212 | + | 0.859956i | ||||
\(970\) | 4.37634 | − | 15.9005i | 0.140516 | − | 0.510533i | ||||
\(971\) | −29.4378 | − | 16.9959i | −0.944702 | − | 0.545424i | −0.0532711 | − | 0.998580i | \(-0.516965\pi\) |
−0.891431 | + | 0.453156i | \(0.850298\pi\) | |||||||
\(972\) | 8.51894 | − | 13.0548i | 0.273245 | − | 0.418733i | ||||
\(973\) | −19.1746 | − | 0.819974i | −0.614710 | − | 0.0262872i | ||||
\(974\) | −6.94402 | −0.222501 | ||||||||
\(975\) | 21.5341 | − | 39.8220i | 0.689644 | − | 1.27533i | ||||
\(976\) | 0.814929 | + | 1.41150i | 0.0260852 | + | 0.0451810i | ||||
\(977\) | 6.37466 | − | 23.7906i | 0.203943 | − | 0.761127i | −0.785826 | − | 0.618448i | \(-0.787762\pi\) |
0.989769 | − | 0.142679i | \(-0.0455717\pi\) | |||||||
\(978\) | −6.00921 | − | 19.2051i | −0.192153 | − | 0.614112i | ||||
\(979\) | − | 54.8618i | − | 1.75339i | ||||||
\(980\) | −12.0406 | + | 10.0012i | −0.384622 | + | 0.319478i | ||||
\(981\) | 8.89978 | − | 0.739417i | 0.284148 | − | 0.0236078i | ||||
\(982\) | −4.88355 | − | 18.2256i | −0.155840 | − | 0.581604i | ||||
\(983\) | −10.2091 | − | 2.73551i | −0.325618 | − | 0.0872492i | 0.0923068 | − | 0.995731i | \(-0.470576\pi\) |
−0.417925 | + | 0.908481i | \(0.637243\pi\) | |||||||
\(984\) | −9.86353 | + | 6.25348i | −0.314438 | + | 0.199354i | ||||
\(985\) | −32.6850 | − | 19.1675i | −1.04143 | − | 0.610728i | ||||
\(986\) | 11.1088i | 0.353776i | ||||||||
\(987\) | 14.1098 | + | 0.0182211i | 0.449121 | + | 0.000579985i | ||||
\(988\) | −9.06491 | − | 9.06491i | −0.288393 | − | 0.288393i | ||||
\(989\) | 0.990221 | − | 1.71511i | 0.0314872 | − | 0.0545374i | ||||
\(990\) | −22.6361 | + | 15.4764i | −0.719422 | + | 0.491874i | ||||
\(991\) | 19.0277 | + | 32.9570i | 0.604435 | + | 1.04691i | 0.992140 | + | 0.125129i | \(0.0399346\pi\) |
−0.387705 | + | 0.921784i | \(0.626732\pi\) | |||||||
\(992\) | −5.06519 | + | 1.35721i | −0.160820 | + | 0.0430916i | ||||
\(993\) | −5.22919 | − | 4.81275i | −0.165943 | − | 0.152728i | ||||
\(994\) | 15.2311 | − | 3.39098i | 0.483102 | − | 0.107555i | ||||
\(995\) | 6.72158 | − | 6.63100i | 0.213088 | − | 0.210217i | ||||
\(996\) | −13.7025 | − | 7.17119i | −0.434180 | − | 0.227228i | ||||
\(997\) | −18.9410 | − | 5.07524i | −0.599869 | − | 0.160734i | −0.0539091 | − | 0.998546i | \(-0.517168\pi\) |
−0.545960 | + | 0.837812i | \(0.683835\pi\) | |||||||
\(998\) | −37.6913 | − | 10.0994i | −1.19310 | − | 0.319690i | ||||
\(999\) | −26.4674 | − | 11.1672i | −0.837391 | − | 0.353314i |
(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 | 210.2.x.a.23.5 | ✓ | 64 | |
3.2 | odd | 2 | inner | 210.2.x.a.23.13 | yes | 64 | |
5.2 | odd | 4 | inner | 210.2.x.a.107.1 | yes | 64 | |
7.4 | even | 3 | inner | 210.2.x.a.53.10 | yes | 64 | |
15.2 | even | 4 | inner | 210.2.x.a.107.10 | yes | 64 | |
21.11 | odd | 6 | inner | 210.2.x.a.53.1 | yes | 64 | |
35.32 | odd | 12 | inner | 210.2.x.a.137.13 | yes | 64 | |
105.32 | even | 12 | inner | 210.2.x.a.137.5 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.x.a.23.5 | ✓ | 64 | 1.1 | even | 1 | trivial | |
210.2.x.a.23.13 | yes | 64 | 3.2 | odd | 2 | inner | |
210.2.x.a.53.1 | yes | 64 | 21.11 | odd | 6 | inner | |
210.2.x.a.53.10 | yes | 64 | 7.4 | even | 3 | inner | |
210.2.x.a.107.1 | yes | 64 | 5.2 | odd | 4 | inner | |
210.2.x.a.107.10 | yes | 64 | 15.2 | even | 4 | inner | |
210.2.x.a.137.5 | yes | 64 | 105.32 | even | 12 | inner | |
210.2.x.a.137.13 | yes | 64 | 35.32 | odd | 12 | inner |