Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 47.106 | ||
Character | \(\chi\) | \(=\) | 300.47 |
Dual form | 300.3.u.a.83.106 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{17}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.89831 | + | 0.629607i | 0.949157 | + | 0.314803i | ||||
\(3\) | 2.01005 | − | 2.22704i | 0.670015 | − | 0.742347i | ||||
\(4\) | 3.20719 | + | 2.39038i | 0.801798 | + | 0.597596i | ||||
\(5\) | 4.99782 | − | 0.147681i | 0.999564 | − | 0.0295362i | ||||
\(6\) | 5.21786 | − | 2.96209i | 0.869643 | − | 0.493681i | ||||
\(7\) | 3.83093 | − | 3.83093i | 0.547276 | − | 0.547276i | −0.378376 | − | 0.925652i | \(-0.623517\pi\) |
0.925652 | + | 0.378376i | \(0.123517\pi\) | |||||||
\(8\) | 4.58325 | + | 6.55697i | 0.572906 | + | 0.819621i | ||||
\(9\) | −0.919436 | − | 8.95291i | −0.102160 | − | 0.994768i | ||||
\(10\) | 9.58041 | + | 2.86632i | 0.958041 | + | 0.286632i | ||||
\(11\) | −5.64200 | + | 17.3643i | −0.512909 | + | 1.57857i | 0.274146 | + | 0.961688i | \(0.411605\pi\) |
−0.787055 | + | 0.616883i | \(0.788395\pi\) | |||||||
\(12\) | 11.7701 | − | 2.33777i | 0.980840 | − | 0.194814i | ||||
\(13\) | −21.4453 | − | 10.9269i | −1.64964 | − | 0.840534i | −0.996527 | − | 0.0832756i | \(-0.973462\pi\) |
−0.653115 | − | 0.757259i | \(-0.726538\pi\) | |||||||
\(14\) | 9.68429 | − | 4.86033i | 0.691735 | − | 0.347166i | ||||
\(15\) | 9.71695 | − | 11.4272i | 0.647797 | − | 0.761813i | ||||
\(16\) | 4.57214 | + | 15.3328i | 0.285759 | + | 0.958302i | ||||
\(17\) | 1.04133 | − | 6.57468i | 0.0612545 | − | 0.386746i | −0.937946 | − | 0.346780i | \(-0.887275\pi\) |
0.999201 | − | 0.0399660i | \(-0.0127250\pi\) | |||||||
\(18\) | 3.89144 | − | 17.5743i | 0.216191 | − | 0.976351i | ||||
\(19\) | −14.4048 | + | 10.4657i | −0.758147 | + | 0.550826i | −0.898342 | − | 0.439298i | \(-0.855227\pi\) |
0.140194 | + | 0.990124i | \(0.455227\pi\) | |||||||
\(20\) | 16.3820 | + | 11.4731i | 0.819098 | + | 0.573653i | ||||
\(21\) | −0.831302 | − | 16.2320i | −0.0395858 | − | 0.772952i | ||||
\(22\) | −21.6430 | + | 29.4106i | −0.983771 | + | 1.33685i | ||||
\(23\) | −3.32884 | − | 6.53322i | −0.144732 | − | 0.284053i | 0.807248 | − | 0.590212i | \(-0.200956\pi\) |
−0.951980 | + | 0.306159i | \(0.900956\pi\) | |||||||
\(24\) | 23.8152 | + | 2.97270i | 0.992299 | + | 0.123863i | ||||
\(25\) | 24.9564 | − | 1.47617i | 0.998255 | − | 0.0590467i | ||||
\(26\) | −33.8303 | − | 34.2449i | −1.30117 | − | 1.31711i | ||||
\(27\) | −21.7866 | − | 15.9481i | −0.806912 | − | 0.590672i | ||||
\(28\) | 21.4439 | − | 3.12913i | 0.765854 | − | 0.111755i | ||||
\(29\) | −7.37606 | − | 5.35902i | −0.254347 | − | 0.184794i | 0.453304 | − | 0.891356i | \(-0.350245\pi\) |
−0.707651 | + | 0.706562i | \(0.750245\pi\) | |||||||
\(30\) | 25.6405 | − | 15.5746i | 0.854682 | − | 0.519152i | ||||
\(31\) | 21.4136 | + | 29.4733i | 0.690762 | + | 0.950753i | 1.00000 | 0.000232203i | \(-7.39125e-5\pi\) | |
−0.309238 | + | 0.950985i | \(0.600074\pi\) | |||||||
\(32\) | −0.974306 | + | 31.9852i | −0.0304470 | + | 0.999536i | ||||
\(33\) | 27.3303 | + | 47.4680i | 0.828192 | + | 1.43842i | ||||
\(34\) | 6.11623 | − | 11.8252i | 0.179889 | − | 0.347799i | ||||
\(35\) | 18.5805 | − | 19.7121i | 0.530873 | − | 0.563202i | ||||
\(36\) | 18.4521 | − | 30.9115i | 0.512558 | − | 0.858653i | ||||
\(37\) | −10.0535 | + | 19.7311i | −0.271716 | + | 0.533272i | −0.986033 | − | 0.166550i | \(-0.946737\pi\) |
0.714317 | + | 0.699822i | \(0.246737\pi\) | |||||||
\(38\) | −33.9341 | + | 10.7978i | −0.893003 | + | 0.284153i | ||||
\(39\) | −67.4409 | + | 25.7960i | −1.72925 | + | 0.661437i | ||||
\(40\) | 23.8746 | + | 32.0937i | 0.596865 | + | 0.802342i | ||||
\(41\) | 49.7872 | − | 16.1768i | 1.21432 | − | 0.394557i | 0.369311 | − | 0.929306i | \(-0.379594\pi\) |
0.845011 | + | 0.534749i | \(0.179594\pi\) | |||||||
\(42\) | 8.64170 | − | 31.3368i | 0.205755 | − | 0.746114i | ||||
\(43\) | −11.5688 | − | 11.5688i | −0.269041 | − | 0.269041i | 0.559673 | − | 0.828714i | \(-0.310927\pi\) |
−0.828714 | + | 0.559673i | \(0.810927\pi\) | |||||||
\(44\) | −59.6022 | + | 42.2040i | −1.35460 | + | 0.959182i | ||||
\(45\) | −5.91735 | − | 44.6092i | −0.131497 | − | 0.991317i | ||||
\(46\) | −2.20583 | − | 14.4980i | −0.0479527 | − | 0.315173i | ||||
\(47\) | −5.93964 | − | 37.5014i | −0.126375 | − | 0.797903i | −0.966717 | − | 0.255846i | \(-0.917646\pi\) |
0.840342 | − | 0.542056i | \(-0.182354\pi\) | |||||||
\(48\) | 43.3371 | + | 20.6373i | 0.902855 | + | 0.429944i | ||||
\(49\) | 19.6479i | 0.400978i | ||||||||
\(50\) | 48.3044 | + | 12.9105i | 0.966089 | + | 0.258210i | ||||
\(51\) | −12.5490 | − | 15.5345i | −0.246058 | − | 0.304598i | ||||
\(52\) | −42.6597 | − | 86.3074i | −0.820379 | − | 1.65976i | ||||
\(53\) | −12.7317 | − | 80.3850i | −0.240221 | − | 1.51670i | −0.752910 | − | 0.658123i | \(-0.771351\pi\) |
0.512689 | − | 0.858574i | \(-0.328649\pi\) | |||||||
\(54\) | −31.3168 | − | 43.9916i | −0.579941 | − | 0.814659i | ||||
\(55\) | −25.6333 | + | 87.6167i | −0.466060 | + | 1.59303i | ||||
\(56\) | 42.6774 | + | 7.56117i | 0.762097 | + | 0.135021i | ||||
\(57\) | −5.64674 | + | 53.1166i | −0.0990657 | + | 0.931871i | ||||
\(58\) | −10.6280 | − | 14.8171i | −0.183241 | − | 0.255468i | ||||
\(59\) | −1.24823 | + | 0.405574i | −0.0211564 | + | 0.00687414i | −0.319576 | − | 0.947561i | \(-0.603541\pi\) |
0.298420 | + | 0.954435i | \(0.403541\pi\) | |||||||
\(60\) | 58.4795 | − | 13.4220i | 0.974658 | − | 0.223700i | ||||
\(61\) | −9.93721 | + | 30.5836i | −0.162905 | + | 0.501370i | −0.998876 | − | 0.0474038i | \(-0.984905\pi\) |
0.835971 | + | 0.548774i | \(0.184905\pi\) | |||||||
\(62\) | 22.0932 | + | 69.4318i | 0.356341 | + | 1.11987i | ||||
\(63\) | −37.8203 | − | 30.7757i | −0.600322 | − | 0.488503i | ||||
\(64\) | −21.9876 | + | 60.1044i | −0.343557 | + | 0.939132i | ||||
\(65\) | −108.794 | − | 51.4438i | −1.67375 | − | 0.791443i | ||||
\(66\) | 21.9954 | + | 107.316i | 0.333263 | + | 1.62601i | ||||
\(67\) | −12.1910 | + | 76.9712i | −0.181956 | + | 1.14882i | 0.712502 | + | 0.701670i | \(0.247562\pi\) |
−0.894457 | + | 0.447153i | \(0.852438\pi\) | |||||||
\(68\) | 19.0557 | − | 18.5971i | 0.280232 | − | 0.273486i | ||||
\(69\) | −21.2409 | − | 5.71860i | −0.307839 | − | 0.0828782i | ||||
\(70\) | 47.6825 | − | 25.7212i | 0.681179 | − | 0.367446i | ||||
\(71\) | 78.5580 | + | 57.0757i | 1.10645 | + | 0.803883i | 0.982101 | − | 0.188355i | \(-0.0603156\pi\) |
0.124349 | + | 0.992238i | \(0.460316\pi\) | |||||||
\(72\) | 54.4899 | − | 47.0622i | 0.756805 | − | 0.653641i | ||||
\(73\) | −60.5912 | − | 118.917i | −0.830016 | − | 1.62900i | −0.776233 | − | 0.630446i | \(-0.782872\pi\) |
−0.0537838 | − | 0.998553i | \(-0.517128\pi\) | |||||||
\(74\) | −31.5075 | + | 31.1260i | −0.425777 | + | 0.420622i | ||||
\(75\) | 46.8760 | − | 58.5461i | 0.625013 | − | 0.780614i | ||||
\(76\) | −71.2160 | − | 0.867503i | −0.937052 | − | 0.0114145i | ||||
\(77\) | 44.9073 | + | 88.1355i | 0.583211 | + | 1.14462i | ||||
\(78\) | −144.265 | + | 6.50770i | −1.84956 | + | 0.0834321i | ||||
\(79\) | −14.6303 | − | 10.6295i | −0.185193 | − | 0.134551i | 0.491326 | − | 0.870976i | \(-0.336512\pi\) |
−0.676519 | + | 0.736425i | \(0.736512\pi\) | |||||||
\(80\) | 25.1151 | + | 75.9555i | 0.313938 | + | 0.949443i | ||||
\(81\) | −79.3093 | + | 16.4633i | −0.979127 | + | 0.203250i | ||||
\(82\) | 104.697 | + | 0.637648i | 1.27679 | + | 0.00777619i | ||||
\(83\) | −14.8531 | + | 93.7790i | −0.178953 | + | 1.12987i | 0.720695 | + | 0.693252i | \(0.243823\pi\) |
−0.899649 | + | 0.436615i | \(0.856177\pi\) | |||||||
\(84\) | 36.1345 | − | 54.0462i | 0.430173 | − | 0.643407i | ||||
\(85\) | 4.23341 | − | 33.0128i | 0.0498048 | − | 0.388386i | ||||
\(86\) | −14.6774 | − | 29.2449i | −0.170667 | − | 0.340058i | ||||
\(87\) | −26.7610 | + | 5.65493i | −0.307598 | + | 0.0649991i | ||||
\(88\) | −139.716 | + | 42.5905i | −1.58768 | + | 0.483983i | ||||
\(89\) | −6.59130 | + | 20.2859i | −0.0740595 | + | 0.227932i | −0.981233 | − | 0.192824i | \(-0.938235\pi\) |
0.907174 | + | 0.420756i | \(0.138235\pi\) | |||||||
\(90\) | 16.8533 | − | 88.4080i | 0.187259 | − | 0.982311i | ||||
\(91\) | −124.016 | + | 40.2952i | −1.36281 | + | 0.442805i | ||||
\(92\) | 4.94067 | − | 28.9105i | 0.0537030 | − | 0.314245i | ||||
\(93\) | 108.681 | + | 11.5537i | 1.16861 | + | 0.124233i | ||||
\(94\) | 12.3359 | − | 74.9291i | 0.131232 | − | 0.797118i | ||||
\(95\) | −70.4470 | + | 54.4330i | −0.741547 | + | 0.572979i | ||||
\(96\) | 69.2739 | + | 66.4614i | 0.721603 | + | 0.692307i | ||||
\(97\) | 3.24572 | + | 20.4927i | 0.0334610 | + | 0.211264i | 0.998754 | − | 0.0499050i | \(-0.0158919\pi\) |
−0.965293 | + | 0.261169i | \(0.915892\pi\) | |||||||
\(98\) | −12.3705 | + | 37.2979i | −0.126229 | + | 0.380591i | ||||
\(99\) | 160.648 | + | 34.5470i | 1.62271 | + | 0.348959i | ||||
\(100\) | 83.5685 | + | 54.9210i | 0.835685 | + | 0.549210i | ||||
\(101\) | − | 46.5031i | − | 0.460427i | −0.973140 | − | 0.230213i | \(-0.926058\pi\) | ||
0.973140 | − | 0.230213i | \(-0.0739424\pi\) | |||||||
\(102\) | −14.0413 | − | 37.3903i | −0.137660 | − | 0.366571i | ||||
\(103\) | −0.387633 | − | 2.44742i | −0.00376343 | − | 0.0237614i | 0.985735 | − | 0.168304i | \(-0.0538290\pi\) |
−0.989499 | + | 0.144542i | \(0.953829\pi\) | |||||||
\(104\) | −26.6418 | − | 190.697i | −0.256171 | − | 1.83363i | ||||
\(105\) | −6.55185 | − | 81.0018i | −0.0623986 | − | 0.771445i | ||||
\(106\) | 26.4421 | − | 160.612i | 0.249454 | − | 1.51521i | ||||
\(107\) | −82.7181 | − | 82.7181i | −0.773066 | − | 0.773066i | 0.205575 | − | 0.978641i | \(-0.434093\pi\) |
−0.978641 | + | 0.205575i | \(0.934093\pi\) | |||||||
\(108\) | −31.7517 | − | 103.227i | −0.293997 | − | 0.955806i | ||||
\(109\) | 35.9648 | − | 11.6857i | 0.329952 | − | 0.107208i | −0.139356 | − | 0.990242i | \(-0.544503\pi\) |
0.469308 | + | 0.883034i | \(0.344503\pi\) | |||||||
\(110\) | −103.824 | + | 150.185i | −0.943856 | + | 1.36532i | ||||
\(111\) | 23.7340 | + | 62.0499i | 0.213820 | + | 0.559008i | ||||
\(112\) | 76.2545 | + | 41.2235i | 0.680844 | + | 0.368067i | ||||
\(113\) | 27.0809 | − | 53.1492i | 0.239654 | − | 0.470347i | −0.739583 | − | 0.673065i | \(-0.764977\pi\) |
0.979237 | + | 0.202718i | \(0.0649774\pi\) | |||||||
\(114\) | −44.1619 | + | 97.2768i | −0.387385 | + | 0.853305i | ||||
\(115\) | −17.6018 | − | 32.1603i | −0.153059 | − | 0.279654i | ||||
\(116\) | −10.8463 | − | 34.8190i | −0.0935027 | − | 0.300164i | ||||
\(117\) | −78.1104 | + | 202.045i | −0.667610 | + | 1.72688i | ||||
\(118\) | −2.62488 | − | 0.0159867i | −0.0222448 | − | 0.000135480i | ||||
\(119\) | −21.1979 | − | 29.1764i | −0.178134 | − | 0.245180i | ||||
\(120\) | 119.463 | + | 11.3400i | 0.995525 | + | 0.0944999i | ||||
\(121\) | −171.795 | − | 124.816i | −1.41979 | − | 1.03154i | ||||
\(122\) | −38.1196 | + | 51.8007i | −0.312456 | + | 0.424596i | ||||
\(123\) | 64.0480 | − | 143.394i | 0.520715 | − | 1.16581i | ||||
\(124\) | −1.77498 | + | 145.713i | −0.0143143 | + | 1.17511i | ||||
\(125\) | 124.509 | − | 11.0632i | 0.996076 | − | 0.0885057i | ||||
\(126\) | −52.4182 | − | 82.2338i | −0.416017 | − | 0.652649i | ||||
\(127\) | 21.4999 | + | 42.1960i | 0.169291 | + | 0.332252i | 0.960028 | − | 0.279904i | \(-0.0903026\pi\) |
−0.790737 | + | 0.612156i | \(0.790303\pi\) | |||||||
\(128\) | −79.5816 | + | 100.254i | −0.621731 | + | 0.783231i | ||||
\(129\) | −49.0179 | + | 2.51039i | −0.379984 | + | 0.0194604i | ||||
\(130\) | −174.135 | − | 166.154i | −1.33950 | − | 1.27811i | ||||
\(131\) | 42.4304 | − | 30.8275i | 0.323896 | − | 0.235324i | −0.413940 | − | 0.910304i | \(-0.635848\pi\) |
0.737836 | + | 0.674980i | \(0.235848\pi\) | |||||||
\(132\) | −25.8131 | + | 217.569i | −0.195554 | + | 1.64825i | ||||
\(133\) | −15.0904 | + | 95.2772i | −0.113462 | + | 0.716370i | ||||
\(134\) | −71.6040 | + | 138.440i | −0.534358 | + | 1.03313i | ||||
\(135\) | −111.241 | − | 76.4884i | −0.824006 | − | 0.566581i | ||||
\(136\) | 47.8826 | − | 23.3055i | 0.352078 | − | 0.171364i | ||||
\(137\) | −33.1240 | − | 16.8775i | −0.241781 | − | 0.123193i | 0.328902 | − | 0.944364i | \(-0.393321\pi\) |
−0.570683 | + | 0.821171i | \(0.693321\pi\) | |||||||
\(138\) | −36.7214 | − | 24.2291i | −0.266097 | − | 0.175573i | ||||
\(139\) | 81.1927 | − | 249.886i | 0.584120 | − | 1.79774i | −0.0186539 | − | 0.999826i | \(-0.505938\pi\) |
0.602774 | − | 0.797912i | \(-0.294062\pi\) | |||||||
\(140\) | 106.711 | − | 18.8057i | 0.762219 | − | 0.134326i | ||||
\(141\) | −95.4562 | − | 62.1517i | −0.676994 | − | 0.440792i | ||||
\(142\) | 113.192 | + | 157.808i | 0.797130 | + | 1.11133i | ||||
\(143\) | 310.733 | − | 310.733i | 2.17296 | − | 2.17296i | ||||
\(144\) | 133.070 | − | 55.0315i | 0.924095 | − | 0.382163i | ||||
\(145\) | −37.6556 | − | 25.6941i | −0.259694 | − | 0.177201i | ||||
\(146\) | −40.1502 | − | 263.890i | −0.275001 | − | 1.80747i | ||||
\(147\) | 43.7568 | + | 39.4932i | 0.297665 | + | 0.268661i | ||||
\(148\) | −79.4082 | + | 39.2496i | −0.536542 | + | 0.265200i | ||||
\(149\) | −141.716 | −0.951113 | −0.475557 | − | 0.879685i | \(-0.657753\pi\) | ||||
−0.475557 | + | 0.879685i | \(0.657753\pi\) | |||||||
\(150\) | 125.846 | − | 81.6254i | 0.838975 | − | 0.544169i | ||||
\(151\) | 7.14586i | 0.0473236i | 0.999720 | + | 0.0236618i | \(0.00753249\pi\) | ||||
−0.999720 | + | 0.0236618i | \(0.992468\pi\) | |||||||
\(152\) | −134.644 | − | 46.4849i | −0.885816 | − | 0.305822i | ||||
\(153\) | −59.8200 | − | 3.27791i | −0.390980 | − | 0.0214242i | ||||
\(154\) | 29.7574 | + | 195.583i | 0.193230 | + | 1.27002i | ||||
\(155\) | 111.374 | + | 144.140i | 0.718542 | + | 0.929935i | ||||
\(156\) | −277.958 | − | 78.4768i | −1.78178 | − | 0.503056i | ||||
\(157\) | 141.582 | + | 141.582i | 0.901799 | + | 0.901799i | 0.995592 | − | 0.0937927i | \(-0.0298991\pi\) |
−0.0937927 | + | 0.995592i | \(0.529899\pi\) | |||||||
\(158\) | −21.0804 | − | 29.3894i | −0.133420 | − | 0.186009i | ||||
\(159\) | −204.612 | − | 133.223i | −1.28687 | − | 0.837883i | ||||
\(160\) | −0.145794 | + | 160.000i | −0.000911212 | + | 1.00000i | ||||
\(161\) | −37.7809 | − | 12.2758i | −0.234664 | − | 0.0762469i | ||||
\(162\) | −160.919 | − | 18.6812i | −0.993329 | − | 0.115316i | ||||
\(163\) | −34.3228 | + | 67.3624i | −0.210570 | + | 0.413266i | −0.972000 | − | 0.234981i | \(-0.924497\pi\) |
0.761431 | + | 0.648247i | \(0.224497\pi\) | |||||||
\(164\) | 198.346 | + | 67.1283i | 1.20943 | + | 0.409319i | ||||
\(165\) | 143.602 | + | 233.200i | 0.870316 | + | 1.41333i | ||||
\(166\) | −87.2398 | + | 168.670i | −0.525541 | + | 1.01609i | ||||
\(167\) | 194.257 | + | 30.7672i | 1.16321 | + | 0.184235i | 0.708043 | − | 0.706169i | \(-0.249578\pi\) |
0.455171 | + | 0.890404i | \(0.349578\pi\) | |||||||
\(168\) | 102.623 | − | 79.8461i | 0.610849 | − | 0.475274i | ||||
\(169\) | 241.169 | + | 331.940i | 1.42703 | + | 1.96414i | ||||
\(170\) | 28.8215 | − | 60.0034i | 0.169538 | − | 0.352961i | ||||
\(171\) | 106.943 | + | 119.342i | 0.625397 | + | 0.697909i | ||||
\(172\) | −9.44946 | − | 64.7571i | −0.0549387 | − | 0.376495i | ||||
\(173\) | 271.240 | − | 138.204i | 1.56786 | − | 0.798864i | 0.568149 | − | 0.822926i | \(-0.307660\pi\) |
0.999710 | + | 0.0240616i | \(0.00765980\pi\) | |||||||
\(174\) | −54.3611 | − | 6.11408i | −0.312420 | − | 0.0351384i | ||||
\(175\) | 89.9511 | − | 101.261i | 0.514006 | − | 0.578636i | ||||
\(176\) | −292.039 | − | 7.11590i | −1.65932 | − | 0.0404312i | ||||
\(177\) | −1.60577 | + | 3.59508i | −0.00907213 | + | 0.0203112i | ||||
\(178\) | −25.2845 | + | 34.3591i | −0.142048 | + | 0.193029i | ||||
\(179\) | −130.101 | + | 179.069i | −0.726822 | + | 1.00038i | 0.272448 | + | 0.962171i | \(0.412167\pi\) |
−0.999270 | + | 0.0382140i | \(0.987833\pi\) | |||||||
\(180\) | 87.6551 | − | 157.215i | 0.486973 | − | 0.873417i | ||||
\(181\) | −82.3341 | + | 59.8192i | −0.454885 | + | 0.330493i | −0.791521 | − | 0.611142i | \(-0.790711\pi\) |
0.336637 | + | 0.941635i | \(0.390711\pi\) | |||||||
\(182\) | −260.791 | − | 1.58833i | −1.43292 | − | 0.00872709i | ||||
\(183\) | 48.1367 | + | 83.6050i | 0.263042 | + | 0.456858i | ||||
\(184\) | 27.5812 | − | 51.7705i | 0.149898 | − | 0.281361i | ||||
\(185\) | −47.3316 | + | 100.097i | −0.255846 | + | 0.541065i | ||||
\(186\) | 199.036 | + | 90.3586i | 1.07009 | + | 0.485799i | ||||
\(187\) | 108.289 | + | 55.1762i | 0.579088 | + | 0.295060i | ||||
\(188\) | 70.5932 | − | 134.472i | 0.375496 | − | 0.715278i | ||||
\(189\) | −144.559 | + | 22.3669i | −0.764864 | + | 0.118343i | ||||
\(190\) | −168.002 | + | 58.9770i | −0.884221 | + | 0.310405i | ||||
\(191\) | 19.1735 | + | 59.0099i | 0.100385 | + | 0.308953i | 0.988620 | − | 0.150437i | \(-0.0480681\pi\) |
−0.888235 | + | 0.459390i | \(0.848068\pi\) | |||||||
\(192\) | 89.6590 | + | 169.780i | 0.466974 | + | 0.884271i | ||||
\(193\) | −16.2189 | + | 16.2189i | −0.0840357 | + | 0.0840357i | −0.747875 | − | 0.663839i | \(-0.768926\pi\) |
0.663839 | + | 0.747875i | \(0.268926\pi\) | |||||||
\(194\) | −6.74093 | + | 40.9450i | −0.0347470 | + | 0.211057i | ||||
\(195\) | −333.248 | + | 138.884i | −1.70896 | + | 0.712224i | ||||
\(196\) | −46.9661 | + | 63.0147i | −0.239623 | + | 0.321503i | ||||
\(197\) | 149.600 | − | 23.6943i | 0.759390 | − | 0.120276i | 0.235282 | − | 0.971927i | \(-0.424399\pi\) |
0.524108 | + | 0.851652i | \(0.324399\pi\) | |||||||
\(198\) | 283.210 | + | 166.726i | 1.43035 | + | 0.842052i | ||||
\(199\) | −167.339 | −0.840899 | −0.420449 | − | 0.907316i | \(-0.638128\pi\) | ||||
−0.420449 | + | 0.907316i | \(0.638128\pi\) | |||||||
\(200\) | 124.061 | + | 156.873i | 0.620303 | + | 0.784363i | ||||
\(201\) | 146.914 | + | 181.866i | 0.730913 | + | 0.904804i | ||||
\(202\) | 29.2787 | − | 88.2774i | 0.144944 | − | 0.437017i | ||||
\(203\) | −48.7872 | + | 7.72714i | −0.240331 | + | 0.0380647i | ||||
\(204\) | −3.11359 | − | 79.8189i | −0.0152627 | − | 0.391269i | ||||
\(205\) | 246.438 | − | 88.2015i | 1.20214 | − | 0.430251i | ||||
\(206\) | 0.805063 | − | 4.89003i | 0.00390807 | − | 0.0237380i | ||||
\(207\) | −55.4307 | + | 35.8097i | −0.267781 | + | 0.172994i | ||||
\(208\) | 69.4900 | − | 378.777i | 0.334086 | − | 1.82104i | ||||
\(209\) | −100.458 | − | 309.176i | −0.480658 | − | 1.47931i | ||||
\(210\) | 38.5618 | − | 157.892i | 0.183628 | − | 0.751866i | ||||
\(211\) | −137.166 | − | 44.5679i | −0.650076 | − | 0.211222i | −0.0346283 | − | 0.999400i | \(-0.511025\pi\) |
−0.615448 | + | 0.788178i | \(0.711025\pi\) | |||||||
\(212\) | 151.318 | − | 288.244i | 0.713763 | − | 1.35964i | ||||
\(213\) | 285.015 | − | 60.2272i | 1.33810 | − | 0.282757i | ||||
\(214\) | −104.945 | − | 209.105i | −0.490397 | − | 0.977125i | ||||
\(215\) | −59.5271 | − | 56.1101i | −0.276870 | − | 0.260977i | ||||
\(216\) | 4.71782 | − | 215.948i | 0.0218417 | − | 0.999761i | ||||
\(217\) | 194.944 | + | 30.8762i | 0.898361 | + | 0.142286i | ||||
\(218\) | 75.6298 | + | 0.460618i | 0.346926 | + | 0.00211293i | ||||
\(219\) | −386.624 | − | 104.089i | −1.76541 | − | 0.475293i | ||||
\(220\) | −291.648 | + | 219.730i | −1.32567 | + | 0.998773i | ||||
\(221\) | −94.1728 | + | 129.618i | −0.426121 | + | 0.586506i | ||||
\(222\) | 5.98750 | + | 132.733i | 0.0269707 | + | 0.597897i | ||||
\(223\) | 250.963 | − | 127.872i | 1.12539 | − | 0.573417i | 0.210695 | − | 0.977552i | \(-0.432427\pi\) |
0.914700 | + | 0.404135i | \(0.132427\pi\) | |||||||
\(224\) | 118.800 | + | 126.265i | 0.530359 | + | 0.563685i | ||||
\(225\) | −36.1618 | − | 222.075i | −0.160719 | − | 0.987000i | ||||
\(226\) | 84.8711 | − | 83.8436i | 0.375536 | − | 0.370989i | ||||
\(227\) | 369.650 | − | 188.346i | 1.62841 | − | 0.829717i | 0.629816 | − | 0.776744i | \(-0.283130\pi\) |
0.998596 | − | 0.0529732i | \(-0.0168698\pi\) | |||||||
\(228\) | −145.079 | + | 156.857i | −0.636313 | + | 0.687971i | ||||
\(229\) | 155.670 | − | 214.262i | 0.679783 | − | 0.935641i | −0.320148 | − | 0.947368i | \(-0.603733\pi\) |
0.999931 | + | 0.0117263i | \(0.00373268\pi\) | |||||||
\(230\) | −13.1654 | − | 72.1325i | −0.0572409 | − | 0.313619i | ||||
\(231\) | 286.547 | + | 77.1459i | 1.24046 | + | 0.333965i | ||||
\(232\) | 1.33259 | − | 72.9263i | 0.00574392 | − | 0.314338i | ||||
\(233\) | 126.199 | + | 19.9879i | 0.541625 | + | 0.0857849i | 0.421252 | − | 0.906944i | \(-0.361591\pi\) |
0.120373 | + | 0.992729i | \(0.461591\pi\) | |||||||
\(234\) | −275.487 | + | 334.366i | −1.17729 | + | 1.42891i | ||||
\(235\) | −35.2235 | − | 186.548i | −0.149887 | − | 0.793822i | ||||
\(236\) | −4.97279 | − | 1.68299i | −0.0210711 | − | 0.00713132i | ||||
\(237\) | −53.0798 | + | 11.2164i | −0.223965 | + | 0.0473267i | ||||
\(238\) | −21.8706 | − | 68.7323i | −0.0918933 | − | 0.288791i | ||||
\(239\) | 286.560 | + | 93.1089i | 1.19899 | + | 0.389577i | 0.839391 | − | 0.543528i | \(-0.182912\pi\) |
0.359604 | + | 0.933105i | \(0.382912\pi\) | |||||||
\(240\) | 219.638 | + | 96.7416i | 0.915160 | + | 0.403090i | ||||
\(241\) | −6.51793 | − | 20.0601i | −0.0270454 | − | 0.0832371i | 0.936623 | − | 0.350340i | \(-0.113934\pi\) |
−0.963668 | + | 0.267102i | \(0.913934\pi\) | |||||||
\(242\) | −247.536 | − | 345.104i | −1.02287 | − | 1.42605i | ||||
\(243\) | −122.751 | + | 209.717i | −0.505147 | + | 0.863033i | ||||
\(244\) | −104.977 | + | 74.3336i | −0.430234 | + | 0.304646i | ||||
\(245\) | 2.90163 | + | 98.1968i | 0.0118434 | + | 0.400803i | ||||
\(246\) | 211.865 | − | 231.882i | 0.861241 | − | 0.942611i | ||||
\(247\) | 423.274 | − | 67.0400i | 1.71366 | − | 0.271417i | ||||
\(248\) | −95.1116 | + | 275.492i | −0.383515 | + | 1.11086i | ||||
\(249\) | 178.994 | + | 221.578i | 0.718852 | + | 0.889873i | ||||
\(250\) | 243.323 | + | 57.3906i | 0.973294 | + | 0.229562i | ||||
\(251\) | −192.840 | −0.768285 | −0.384142 | − | 0.923274i | \(-0.625503\pi\) | ||||
−0.384142 | + | 0.923274i | \(0.625503\pi\) | |||||||
\(252\) | −47.7312 | − | 189.108i | −0.189409 | − | 0.750430i | ||||
\(253\) | 132.226 | − | 20.9425i | 0.522633 | − | 0.0827769i | ||||
\(254\) | 14.2467 | + | 93.6377i | 0.0560894 | + | 0.368652i | ||||
\(255\) | −65.0117 | − | 75.7853i | −0.254948 | − | 0.297197i | ||||
\(256\) | −214.191 | + | 140.208i | −0.836684 | + | 0.547686i | ||||
\(257\) | −228.173 | + | 228.173i | −0.887834 | + | 0.887834i | −0.994315 | − | 0.106480i | \(-0.966042\pi\) |
0.106480 | + | 0.994315i | \(0.466042\pi\) | |||||||
\(258\) | −94.6319 | − | 26.0965i | −0.366790 | − | 0.101149i | ||||
\(259\) | 37.0742 | + | 114.103i | 0.143144 | + | 0.440550i | ||||
\(260\) | −225.951 | − | 425.049i | −0.869044 | − | 1.63480i | ||||
\(261\) | −41.1970 | + | 70.9645i | −0.157843 | + | 0.271895i | ||||
\(262\) | 99.9554 | − | 31.8058i | 0.381509 | − | 0.121396i | ||||
\(263\) | −155.593 | − | 79.2788i | −0.591610 | − | 0.301440i | 0.132437 | − | 0.991191i | \(-0.457720\pi\) |
−0.724046 | + | 0.689751i | \(0.757720\pi\) | |||||||
\(264\) | −185.984 | + | 396.762i | −0.704485 | + | 1.50288i | ||||
\(265\) | −75.5022 | − | 399.869i | −0.284914 | − | 1.50894i | ||||
\(266\) | −88.6335 | + | 171.365i | −0.333209 | + | 0.644229i | ||||
\(267\) | 31.9288 | + | 55.4547i | 0.119584 | + | 0.207696i | ||||
\(268\) | −223.090 | + | 217.720i | −0.832424 | + | 0.812388i | ||||
\(269\) | 345.323 | − | 250.892i | 1.28373 | − | 0.932684i | 0.284071 | − | 0.958803i | \(-0.408315\pi\) |
0.999659 | + | 0.0261188i | \(0.00831482\pi\) | |||||||
\(270\) | −163.012 | − | 215.237i | −0.603750 | − | 0.797174i | ||||
\(271\) | 101.625 | − | 139.875i | 0.375000 | − | 0.516144i | −0.579251 | − | 0.815149i | \(-0.696655\pi\) |
0.954251 | + | 0.299005i | \(0.0966549\pi\) | |||||||
\(272\) | 105.570 | − | 14.0938i | 0.388123 | − | 0.0518156i | ||||
\(273\) | −159.539 | + | 357.184i | −0.584390 | + | 1.30837i | ||||
\(274\) | −52.2535 | − | 52.8939i | −0.190706 | − | 0.193043i | ||||
\(275\) | −115.171 | + | 441.678i | −0.418804 | + | 1.60610i | ||||
\(276\) | −54.4539 | − | 69.1145i | −0.197297 | − | 0.250415i | ||||
\(277\) | −474.047 | + | 241.539i | −1.71136 | + | 0.871982i | −0.729114 | + | 0.684392i | \(0.760068\pi\) |
−0.982247 | + | 0.187590i | \(0.939932\pi\) | |||||||
\(278\) | 311.459 | − | 423.242i | 1.12036 | − | 1.52245i | ||||
\(279\) | 244.184 | − | 218.813i | 0.875210 | − | 0.784277i | ||||
\(280\) | 214.411 | + | 31.4867i | 0.765752 | + | 0.112452i | ||||
\(281\) | −47.0061 | − | 64.6984i | −0.167282 | − | 0.230243i | 0.717144 | − | 0.696926i | \(-0.245449\pi\) |
−0.884425 | + | 0.466682i | \(0.845449\pi\) | |||||||
\(282\) | −142.075 | − | 178.083i | −0.503811 | − | 0.631501i | ||||
\(283\) | −90.9887 | − | 14.4112i | −0.321515 | − | 0.0509230i | −0.00640899 | − | 0.999979i | \(-0.502040\pi\) |
−0.315106 | + | 0.949056i | \(0.602040\pi\) | |||||||
\(284\) | 115.518 | + | 370.836i | 0.406752 | + | 1.30576i | ||||
\(285\) | −20.3771 | + | 266.301i | −0.0714985 | + | 0.934390i | ||||
\(286\) | 785.509 | − | 394.229i | 2.74653 | − | 1.37842i | ||||
\(287\) | 128.759 | − | 252.704i | 0.448637 | − | 0.880500i | ||||
\(288\) | 287.256 | − | 20.6855i | 0.997417 | − | 0.0718245i | ||||
\(289\) | 232.713 | + | 75.6131i | 0.805236 | + | 0.261637i | ||||
\(290\) | −55.3050 | − | 72.4838i | −0.190707 | − | 0.249944i | ||||
\(291\) | 52.1620 | + | 33.9628i | 0.179251 | + | 0.116711i | ||||
\(292\) | 89.9295 | − | 526.225i | 0.307978 | − | 1.80214i | ||||
\(293\) | −37.0469 | − | 37.0469i | −0.126440 | − | 0.126440i | 0.641055 | − | 0.767495i | \(-0.278497\pi\) |
−0.767495 | + | 0.641055i | \(0.778497\pi\) | |||||||
\(294\) | 58.1989 | + | 102.520i | 0.197955 | + | 0.348708i | ||||
\(295\) | −6.17853 | + | 2.21133i | −0.0209442 | + | 0.00749602i | ||||
\(296\) | −175.454 | + | 24.5121i | −0.592749 | + | 0.0828111i | ||||
\(297\) | 399.848 | − | 288.330i | 1.34629 | − | 0.970807i | ||||
\(298\) | −269.021 | − | 89.2253i | −0.902755 | − | 0.299414i | ||||
\(299\) | 176.481i | 0.590238i | ||||||||
\(300\) | 290.288 | − | 75.7169i | 0.967626 | − | 0.252390i | ||||
\(301\) | −88.6384 | −0.294480 | ||||||||
\(302\) | −4.49909 | + | 13.5651i | −0.0148976 | + | 0.0449175i | ||||
\(303\) | −103.564 | − | 93.4733i | −0.341796 | − | 0.308493i | ||||
\(304\) | −226.329 | − | 173.016i | −0.744505 | − | 0.569131i | ||||
\(305\) | −45.1477 | + | 154.319i | −0.148025 | + | 0.505963i | ||||
\(306\) | −111.493 | − | 43.8856i | −0.364357 | − | 0.143417i | ||||
\(307\) | −274.855 | + | 274.855i | −0.895292 | + | 0.895292i | −0.995015 | − | 0.0997232i | \(-0.968204\pi\) |
0.0997232 | + | 0.995015i | \(0.468204\pi\) | |||||||
\(308\) | −66.6514 | + | 390.013i | −0.216401 | + | 1.26628i | ||||
\(309\) | −6.22967 | − | 4.05615i | −0.0201607 | − | 0.0131267i | ||||
\(310\) | 120.671 | + | 343.745i | 0.389263 | + | 1.10885i | ||||
\(311\) | 37.2323 | − | 114.589i | 0.119718 | − | 0.368454i | −0.873184 | − | 0.487391i | \(-0.837949\pi\) |
0.992902 | + | 0.118937i | \(0.0379486\pi\) | |||||||
\(312\) | −478.242 | − | 323.978i | −1.53283 | − | 1.03839i | ||||
\(313\) | −173.964 | − | 88.6392i | −0.555796 | − | 0.283192i | 0.153446 | − | 0.988157i | \(-0.450963\pi\) |
−0.709242 | + | 0.704965i | \(0.750963\pi\) | |||||||
\(314\) | 179.627 | + | 357.909i | 0.572059 | + | 1.13984i | ||||
\(315\) | −193.564 | − | 148.226i | −0.614489 | − | 0.470559i | ||||
\(316\) | −21.5134 | − | 69.0627i | −0.0680804 | − | 0.218553i | ||||
\(317\) | 33.1451 | − | 209.270i | 0.104559 | − | 0.660157i | −0.878622 | − | 0.477519i | \(-0.841536\pi\) |
0.983180 | − | 0.182638i | \(-0.0584637\pi\) | |||||||
\(318\) | −304.540 | − | 381.725i | −0.957672 | − | 1.20039i | ||||
\(319\) | 134.671 | − | 97.8444i | 0.422167 | − | 0.306722i | ||||
\(320\) | −101.014 | + | 303.638i | −0.315668 | + | 0.948870i | ||||
\(321\) | −350.484 | + | 17.9496i | −1.09185 | + | 0.0559177i | ||||
\(322\) | −63.9911 | − | 47.0904i | −0.198730 | − | 0.146243i | ||||
\(323\) | 53.8085 | + | 105.605i | 0.166590 | + | 0.326951i | ||||
\(324\) | −293.713 | − | 136.779i | −0.906523 | − | 0.422157i | ||||
\(325\) | −551.328 | − | 241.040i | −1.69639 | − | 0.741662i | ||||
\(326\) | −107.567 | + | 106.265i | −0.329961 | + | 0.325966i | ||||
\(327\) | 46.2664 | − | 103.584i | 0.141487 | − | 0.316770i | ||||
\(328\) | 334.258 | + | 252.310i | 1.01908 | + | 0.769239i | ||||
\(329\) | −166.420 | − | 120.911i | −0.505835 | − | 0.367511i | ||||
\(330\) | 125.777 | + | 533.100i | 0.381144 | + | 1.61545i | ||||
\(331\) | −254.057 | − | 349.679i | −0.767543 | − | 1.05643i | −0.996549 | − | 0.0830072i | \(-0.973548\pi\) |
0.229006 | − | 0.973425i | \(-0.426452\pi\) | |||||||
\(332\) | −271.804 | + | 265.262i | −0.818688 | + | 0.798983i | ||||
\(333\) | 185.894 | + | 71.8665i | 0.558240 | + | 0.215815i | ||||
\(334\) | 349.389 | + | 180.711i | 1.04607 | + | 0.541052i | ||||
\(335\) | −49.5614 | + | 386.488i | −0.147944 | + | 1.15370i | ||||
\(336\) | 245.081 | − | 86.9611i | 0.729409 | − | 0.258813i | ||||
\(337\) | 162.518 | − | 318.960i | 0.482250 | − | 0.946468i | −0.513820 | − | 0.857898i | \(-0.671770\pi\) |
0.996070 | − | 0.0885702i | \(-0.0282298\pi\) | |||||||
\(338\) | 248.822 | + | 781.968i | 0.736160 | + | 2.31352i | ||||
\(339\) | −63.9318 | − | 167.143i | −0.188589 | − | 0.493046i | ||||
\(340\) | 92.4907 | − | 95.7590i | 0.272031 | − | 0.281644i | ||||
\(341\) | −632.599 | + | 205.544i | −1.85513 | + | 0.602768i | ||||
\(342\) | 127.872 | + | 293.881i | 0.373895 | + | 0.859302i | ||||
\(343\) | 262.986 | + | 262.986i | 0.766722 | + | 0.766722i | ||||
\(344\) | 22.8335 | − | 128.879i | 0.0663764 | − | 0.374647i | ||||
\(345\) | −107.003 | − | 25.4436i | −0.310153 | − | 0.0737497i | ||||
\(346\) | 601.912 | − | 91.5792i | 1.73963 | − | 0.264680i | ||||
\(347\) | 29.8521 | + | 188.479i | 0.0860293 | + | 0.543167i | 0.992631 | + | 0.121179i | \(0.0386676\pi\) |
−0.906601 | + | 0.421988i | \(0.861332\pi\) | |||||||
\(348\) | −99.3450 | − | 45.8326i | −0.285474 | − | 0.131703i | ||||
\(349\) | − | 109.835i | − | 0.314715i | −0.987542 | − | 0.157357i | \(-0.949703\pi\) | ||
0.987542 | − | 0.157357i | \(-0.0502975\pi\) | |||||||
\(350\) | 234.510 | − | 135.592i | 0.670029 | − | 0.387405i | ||||
\(351\) | 292.957 | + | 580.074i | 0.834636 | + | 1.65263i | ||||
\(352\) | −549.902 | − | 197.378i | −1.56222 | − | 0.560734i | ||||
\(353\) | 94.8186 | + | 598.661i | 0.268608 | + | 1.69592i | 0.640752 | + | 0.767748i | \(0.278623\pi\) |
−0.372144 | + | 0.928175i | \(0.621377\pi\) | |||||||
\(354\) | −5.31174 | + | 5.81359i | −0.0150049 | + | 0.0164226i | ||||
\(355\) | 401.048 | + | 273.653i | 1.12971 | + | 0.770852i | ||||
\(356\) | −69.6307 | + | 49.3051i | −0.195592 | + | 0.138498i | ||||
\(357\) | −107.586 | − | 11.4373i | −0.301361 | − | 0.0320372i | ||||
\(358\) | −359.716 | + | 258.016i | −1.00479 | + | 0.720716i | ||||
\(359\) | −235.712 | + | 76.5874i | −0.656578 | + | 0.213335i | −0.618313 | − | 0.785932i | \(-0.712183\pi\) |
−0.0382659 | + | 0.999268i | \(0.512183\pi\) | |||||||
\(360\) | 265.381 | − | 243.255i | 0.737168 | − | 0.675709i | ||||
\(361\) | −13.5877 | + | 41.8187i | −0.0376391 | + | 0.115841i | ||||
\(362\) | −193.959 | + | 61.7176i | −0.535797 | + | 0.170490i | ||||
\(363\) | −623.287 | + | 131.708i | −1.71704 | + | 0.362833i | ||||
\(364\) | −494.064 | − | 167.211i | −1.35732 | − | 0.459372i | ||||
\(365\) | −320.386 | − | 585.377i | −0.877769 | − | 1.60377i | ||||
\(366\) | 38.7403 | + | 189.016i | 0.105848 | + | 0.516436i | ||||
\(367\) | 26.6896 | − | 168.512i | 0.0727238 | − | 0.459160i | −0.924274 | − | 0.381730i | \(-0.875329\pi\) |
0.996998 | − | 0.0774301i | \(-0.0246715\pi\) | |||||||
\(368\) | 84.9528 | − | 80.9114i | 0.230850 | − | 0.219868i | ||||
\(369\) | −190.606 | − | 430.867i | −0.516547 | − | 1.16766i | ||||
\(370\) | −152.872 | + | 160.215i | −0.413167 | + | 0.433014i | ||||
\(371\) | −356.724 | − | 259.175i | −0.961519 | − | 0.698585i | ||||
\(372\) | 320.942 | + | 296.843i | 0.862747 | + | 0.797966i | ||||
\(373\) | 2.64504 | + | 5.19119i | 0.00709127 | + | 0.0139174i | 0.894525 | − | 0.447018i | \(-0.147514\pi\) |
−0.887434 | + | 0.460935i | \(0.847514\pi\) | |||||||
\(374\) | 170.828 | + | 172.922i | 0.456759 | + | 0.462357i | ||||
\(375\) | 225.631 | − | 299.525i | 0.601684 | − | 0.798734i | ||||
\(376\) | 218.673 | − | 210.824i | 0.581576 | − | 0.560703i | ||||
\(377\) | 99.6244 | + | 195.524i | 0.264256 | + | 0.518631i | ||||
\(378\) | −288.501 | − | 48.5562i | −0.763231 | − | 0.128456i | ||||
\(379\) | −418.193 | − | 303.835i | −1.10341 | − | 0.801675i | −0.121798 | − | 0.992555i | \(-0.538866\pi\) |
−0.981613 | + | 0.190880i | \(0.938866\pi\) | |||||||
\(380\) | −356.053 | + | 6.18164i | −0.936981 | + | 0.0162675i | ||||
\(381\) | 137.188 | + | 36.9346i | 0.360074 | + | 0.0969411i | ||||
\(382\) | −0.755768 | + | 124.091i | −0.00197845 | + | 0.324846i | ||||
\(383\) | 69.3770 | − | 438.029i | 0.181141 | − | 1.14368i | −0.714742 | − | 0.699388i | \(-0.753456\pi\) |
0.895883 | − | 0.444290i | \(-0.146544\pi\) | |||||||
\(384\) | 63.3063 | + | 378.746i | 0.164860 | + | 0.986317i | ||||
\(385\) | 237.454 | + | 433.853i | 0.616764 | + | 1.12689i | ||||
\(386\) | −41.0000 | + | 20.5770i | −0.106218 | + | 0.0533083i | ||||
\(387\) | −92.9375 | + | 114.211i | −0.240149 | + | 0.295119i | ||||
\(388\) | −38.5757 | + | 73.4823i | −0.0994218 | + | 0.189387i | ||||
\(389\) | 31.5500 | − | 97.1009i | 0.0811054 | − | 0.249617i | −0.902279 | − | 0.431153i | \(-0.858107\pi\) |
0.983384 | + | 0.181536i | \(0.0581070\pi\) | |||||||
\(390\) | −720.051 | + | 53.8296i | −1.84628 | + | 0.138025i | ||||
\(391\) | −46.4203 | + | 15.0829i | −0.118722 | + | 0.0385751i | ||||
\(392\) | −128.831 | + | 90.0514i | −0.328650 | + | 0.229723i | ||||
\(393\) | 16.6329 | − | 156.459i | 0.0423229 | − | 0.398114i | ||||
\(394\) | 298.906 | + | 49.2099i | 0.758644 | + | 0.124898i | ||||
\(395\) | −74.6891 | − | 50.9637i | −0.189086 | − | 0.129022i | ||||
\(396\) | 432.649 | + | 494.810i | 1.09255 | + | 1.24952i | ||||
\(397\) | 42.8974 | + | 270.844i | 0.108054 | + | 0.682226i | 0.980941 | + | 0.194304i | \(0.0622449\pi\) |
−0.872887 | + | 0.487922i | \(0.837755\pi\) | |||||||
\(398\) | −317.662 | − | 105.358i | −0.798145 | − | 0.264718i | ||||
\(399\) | 181.854 | + | 225.118i | 0.455774 | + | 0.564207i | ||||
\(400\) | 136.738 | + | 375.903i | 0.341845 | + | 0.939757i | ||||
\(401\) | 227.524i | 0.567392i | 0.958914 | + | 0.283696i | \(0.0915606\pi\) | ||||
−0.958914 | + | 0.283696i | \(0.908439\pi\) | |||||||
\(402\) | 164.384 | + | 437.736i | 0.408916 | + | 1.08889i | ||||
\(403\) | −137.169 | − | 866.051i | −0.340370 | − | 2.14901i | ||||
\(404\) | 111.160 | − | 149.144i | 0.275149 | − | 0.369169i | ||||
\(405\) | −393.942 | + | 93.9929i | −0.972696 | + | 0.232081i | ||||
\(406\) | −97.4785 | − | 16.0482i | −0.240095 | − | 0.0395277i | ||||
\(407\) | −285.894 | − | 285.894i | −0.702442 | − | 0.702442i | ||||
\(408\) | 44.3440 | − | 153.482i | 0.108686 | − | 0.376181i | ||||
\(409\) | −620.958 | + | 201.761i | −1.51823 | + | 0.493304i | −0.945273 | − | 0.326279i | \(-0.894205\pi\) |
−0.572960 | + | 0.819583i | \(0.694205\pi\) | |||||||
\(410\) | 523.349 | − | 12.2749i | 1.27646 | − | 0.0299388i | ||||
\(411\) | −104.168 | + | 39.8439i | −0.253449 | + | 0.0969439i | ||||
\(412\) | 4.60706 | − | 8.77593i | 0.0111822 | − | 0.0213008i | ||||
\(413\) | −3.22815 | + | 6.33561i | −0.00781635 | + | 0.0153405i | ||||
\(414\) | −127.771 | + | 33.0785i | −0.308625 | + | 0.0798998i | ||||
\(415\) | −60.3838 | + | 470.884i | −0.145503 | + | 1.13466i | ||||
\(416\) | 370.394 | − | 675.287i | 0.890371 | − | 1.62328i | ||||
\(417\) | −393.305 | − | 683.101i | −0.943177 | − | 1.63813i | ||||
\(418\) | 3.95977 | − | 650.163i | 0.00947313 | − | 1.55541i | ||||
\(419\) | 42.3907 | + | 58.3458i | 0.101171 | + | 0.139250i | 0.856601 | − | 0.515979i | \(-0.172572\pi\) |
−0.755430 | + | 0.655230i | \(0.772572\pi\) | |||||||
\(420\) | 172.612 | − | 275.450i | 0.410982 | − | 0.655832i | ||||
\(421\) | −300.477 | − | 218.309i | −0.713721 | − | 0.518549i | 0.170651 | − | 0.985332i | \(-0.445413\pi\) |
−0.884372 | + | 0.466783i | \(0.845413\pi\) | |||||||
\(422\) | −232.324 | − | 170.965i | −0.550530 | − | 0.405129i | ||||
\(423\) | −330.286 | + | 87.6573i | −0.780818 | + | 0.207228i | ||||
\(424\) | 468.729 | − | 451.906i | 1.10549 | − | 1.06582i | ||||
\(425\) | 16.2824 | − | 165.617i | 0.0383116 | − | 0.389688i | ||||
\(426\) | 578.968 | + | 65.1174i | 1.35908 | + | 0.152858i | ||||
\(427\) | 79.0948 | + | 155.232i | 0.185234 | + | 0.363542i | ||||
\(428\) | −67.5647 | − | 463.021i | −0.157861 | − | 1.08182i | ||||
\(429\) | −67.4282 | − | 1316.60i | −0.157175 | − | 3.06901i | ||||
\(430\) | −77.6738 | − | 143.993i | −0.180637 | − | 0.334868i | ||||
\(431\) | 48.2927 | − | 35.0867i | 0.112048 | − | 0.0814076i | −0.530350 | − | 0.847779i | \(-0.677940\pi\) |
0.642398 | + | 0.766371i | \(0.277940\pi\) | |||||||
\(432\) | 144.919 | − | 406.968i | 0.335460 | − | 0.942055i | ||||
\(433\) | −105.258 | + | 664.576i | −0.243091 | + | 1.53482i | 0.500237 | + | 0.865889i | \(0.333246\pi\) |
−0.743328 | + | 0.668928i | \(0.766754\pi\) | |||||||
\(434\) | 350.626 | + | 181.351i | 0.807894 | + | 0.417859i | ||||
\(435\) | −132.911 | + | 32.2144i | −0.305544 | + | 0.0740561i | ||||
\(436\) | 143.279 | + | 48.4915i | 0.328622 | + | 0.111219i | ||||
\(437\) | 116.326 | + | 59.2711i | 0.266192 | + | 0.135632i | ||||
\(438\) | −668.399 | − | 441.015i | −1.52602 | − | 1.00688i | ||||
\(439\) | −78.4909 | + | 241.570i | −0.178795 | + | 0.550274i | −0.999786 | − | 0.0206664i | \(-0.993421\pi\) |
0.820992 | + | 0.570940i | \(0.193421\pi\) | |||||||
\(440\) | −691.984 | + | 233.493i | −1.57269 | + | 0.530666i | ||||
\(441\) | 175.906 | − | 18.0650i | 0.398880 | − | 0.0409638i | ||||
\(442\) | −260.378 | + | 186.763i | −0.589090 | + | 0.422541i | ||||
\(443\) | 304.111 | − | 304.111i | 0.686481 | − | 0.686481i | −0.274971 | − | 0.961452i | \(-0.588668\pi\) |
0.961452 | + | 0.274971i | \(0.0886683\pi\) | |||||||
\(444\) | −72.2036 | + | 255.739i | −0.162621 | + | 0.575989i | ||||
\(445\) | −29.9463 | + | 102.359i | −0.0672950 | + | 0.230020i | ||||
\(446\) | 556.916 | − | 84.7332i | 1.24869 | − | 0.189985i | ||||
\(447\) | −284.855 | + | 315.607i | −0.637260 | + | 0.706056i | ||||
\(448\) | 146.023 | + | 314.489i | 0.325944 | + | 0.701984i | ||||
\(449\) | 146.572 | 0.326441 | 0.163220 | − | 0.986590i | \(-0.447812\pi\) | ||||
0.163220 | + | 0.986590i | \(0.447812\pi\) | |||||||
\(450\) | 71.1735 | − | 444.336i | 0.158163 | − | 0.987413i | ||||
\(451\) | 955.788i | 2.11926i | ||||||||
\(452\) | 213.900 | − | 105.726i | 0.473231 | − | 0.233907i | ||||
\(453\) | 15.9141 | + | 14.3635i | 0.0351306 | + | 0.0317075i | ||||
\(454\) | 820.295 | − | 124.806i | 1.80682 | − | 0.274902i | ||||
\(455\) | −613.859 | + | 219.703i | −1.34914 | + | 0.482864i | ||||
\(456\) | −374.164 | + | 206.421i | −0.820536 | + | 0.452678i | ||||
\(457\) | −524.016 | − | 524.016i | −1.14664 | − | 1.14664i | −0.987209 | − | 0.159434i | \(-0.949033\pi\) |
−0.159434 | − | 0.987209i | \(-0.550967\pi\) | |||||||
\(458\) | 430.412 | − | 308.725i | 0.939764 | − | 0.674072i | ||||
\(459\) | −127.541 | + | 126.633i | −0.277867 | + | 0.275889i | ||||
\(460\) | 20.4230 | − | 145.219i | 0.0443979 | − | 0.315694i | ||||
\(461\) | 448.320 | + | 145.668i | 0.972495 | + | 0.315983i | 0.751823 | − | 0.659365i | \(-0.229175\pi\) |
0.220672 | + | 0.975348i | \(0.429175\pi\) | |||||||
\(462\) | 495.385 | + | 326.859i | 1.07226 | + | 0.707487i | ||||
\(463\) | −84.1604 | + | 165.174i | −0.181772 | + | 0.356748i | −0.963855 | − | 0.266426i | \(-0.914157\pi\) |
0.782083 | + | 0.623174i | \(0.214157\pi\) | |||||||
\(464\) | 48.4446 | − | 137.598i | 0.104406 | − | 0.296548i | ||||
\(465\) | 544.873 | + | 41.6930i | 1.17177 | + | 0.0896624i | ||||
\(466\) | 226.980 | + | 117.399i | 0.487082 | + | 0.251929i | ||||
\(467\) | −521.823 | − | 82.6486i | −1.11739 | − | 0.176978i | −0.429695 | − | 0.902974i | \(-0.641379\pi\) |
−0.687699 | + | 0.725996i | \(0.741379\pi\) | |||||||
\(468\) | −733.479 | + | 461.283i | −1.56726 | + | 0.985647i | ||||
\(469\) | 248.168 | + | 341.574i | 0.529143 | + | 0.728303i | ||||
\(470\) | 50.5867 | − | 376.304i | 0.107631 | − | 0.800646i | ||||
\(471\) | 599.897 | − | 30.7230i | 1.27367 | − | 0.0652293i | ||||
\(472\) | −8.38029 | − | 6.32575i | −0.0177548 | − | 0.0134020i | ||||
\(473\) | 266.154 | − | 135.612i | 0.562694 | − | 0.286707i | ||||
\(474\) | −107.824 | − | 12.1271i | −0.227477 | − | 0.0255847i | ||||
\(475\) | −344.043 | + | 282.450i | −0.724300 | + | 0.594631i | ||||
\(476\) | 1.75710 | − | 144.245i | 0.00369138 | − | 0.303037i | ||||
\(477\) | −707.974 | + | 187.895i | −1.48422 | + | 0.393910i | ||||
\(478\) | 485.358 | + | 357.170i | 1.01539 | + | 0.747218i | ||||
\(479\) | 269.618 | − | 371.097i | 0.562877 | − | 0.774734i | −0.428812 | − | 0.903394i | \(-0.641068\pi\) |
0.991689 | + | 0.128660i | \(0.0410677\pi\) | |||||||
\(480\) | 356.034 | + | 321.932i | 0.741737 | + | 0.670691i | ||||
\(481\) | 431.201 | − | 313.286i | 0.896467 | − | 0.651321i | ||||
\(482\) | 0.256920 | − | 42.1842i | 0.000533028 | − | 0.0875190i | ||||
\(483\) | −103.280 | + | 59.4648i | −0.213830 | + | 0.123116i | ||||
\(484\) | −252.620 | − | 810.966i | −0.521943 | − | 1.67555i | ||||
\(485\) | 19.2479 | + | 101.939i | 0.0396864 | + | 0.210184i | ||||
\(486\) | −365.059 | + | 320.824i | −0.751150 | + | 0.660132i | ||||
\(487\) | 379.278 | + | 193.252i | 0.778805 | + | 0.396821i | 0.797741 | − | 0.603000i | \(-0.206028\pi\) |
−0.0189365 | + | 0.999821i | \(0.506028\pi\) | |||||||
\(488\) | −246.080 | + | 75.0143i | −0.504263 | + | 0.153718i | ||||
\(489\) | 81.0284 | + | 211.840i | 0.165702 | + | 0.433210i | ||||
\(490\) | −56.3172 | + | 188.235i | −0.114933 | + | 0.384154i | ||||
\(491\) | 51.5460 | + | 158.642i | 0.104982 | + | 0.323100i | 0.989726 | − | 0.142976i | \(-0.0456672\pi\) |
−0.884744 | + | 0.466076i | \(0.845667\pi\) | |||||||
\(492\) | 548.181 | − | 306.794i | 1.11419 | − | 0.623564i | ||||
\(493\) | −42.9148 | + | 42.9148i | −0.0870482 | + | 0.0870482i | ||||
\(494\) | 845.716 | + | 139.233i | 1.71198 | + | 0.281849i | ||||
\(495\) | 807.993 | + | 148.935i | 1.63231 | + | 0.300878i | ||||
\(496\) | −354.003 | + | 463.087i | −0.713717 | + | 0.933644i | ||||
\(497\) | 519.603 | − | 82.2971i | 1.04548 | − | 0.165588i | ||||
\(498\) | 200.280 | + | 533.322i | 0.402168 | + | 1.07093i | ||||
\(499\) | −28.9709 | −0.0580580 | −0.0290290 | − | 0.999579i | \(-0.509242\pi\) | ||||
−0.0290290 | + | 0.999579i | \(0.509242\pi\) | |||||||
\(500\) | 425.771 | + | 262.144i | 0.851542 | + | 0.524287i | ||||
\(501\) | 458.985 | − | 370.774i | 0.916137 | − | 0.740069i | ||||
\(502\) | −366.070 | − | 121.413i | −0.729223 | − | 0.241859i | ||||
\(503\) | −376.256 | + | 59.5931i | −0.748023 | + | 0.118475i | −0.518796 | − | 0.854898i | \(-0.673620\pi\) |
−0.229227 | + | 0.973373i | \(0.573620\pi\) | |||||||
\(504\) | 28.4553 | − | 389.039i | 0.0564590 | − | 0.771903i | ||||
\(505\) | −6.86763 | − | 232.414i | −0.0135993 | − | 0.460226i | ||||
\(506\) | 264.192 | + | 43.4949i | 0.522119 | + | 0.0859583i | ||||
\(507\) | 1224.01 | + | 130.122i | 2.41421 | + | 0.256651i | ||||
\(508\) | −31.9102 | + | 186.724i | −0.0628154 | + | 0.367566i | ||||
\(509\) | 230.045 | + | 708.006i | 0.451955 | + | 1.39097i | 0.874673 | + | 0.484713i | \(0.161076\pi\) |
−0.422719 | + | 0.906261i | \(0.638924\pi\) | |||||||
\(510\) | −75.6976 | − | 184.796i | −0.148427 | − | 0.362345i | ||||
\(511\) | −687.683 | − | 223.442i | −1.34576 | − | 0.437264i | ||||
\(512\) | −494.878 | + | 131.302i | −0.966558 | + | 0.256449i | ||||
\(513\) | 480.740 | + | 1.71742i | 0.937116 | + | 0.00334779i | ||||
\(514\) | −576.804 | + | 289.485i | −1.12219 | + | 0.563201i | ||||
\(515\) | −2.29876 | − | 12.1745i | −0.00446361 | − | 0.0236398i | ||||
\(516\) | −163.211 | − | 109.120i | −0.316300 | − | 0.211473i | ||||
\(517\) | 684.697 | + | 108.445i | 1.32436 | + | 0.209759i | ||||
\(518\) | −1.46136 | + | 239.945i | −0.00282117 | + | 0.463214i | ||||
\(519\) | 237.419 | − | 881.858i | 0.457455 | − | 1.69915i | ||||
\(520\) | −161.313 | − | 949.136i | −0.310217 | − | 1.82526i | ||||
\(521\) | 277.887 | − | 382.479i | 0.533373 | − | 0.734125i | −0.454267 | − | 0.890866i | \(-0.650099\pi\) |
0.987640 | + | 0.156741i | \(0.0500988\pi\) | |||||||
\(522\) | −122.885 | + | 108.775i | −0.235411 | + | 0.208381i | ||||
\(523\) | 188.279 | − | 95.9332i | 0.359999 | − | 0.183429i | −0.264631 | − | 0.964350i | \(-0.585250\pi\) |
0.624629 | + | 0.780921i | \(0.285250\pi\) | |||||||
\(524\) | 209.772 | + | 2.55529i | 0.400328 | + | 0.00487651i | ||||
\(525\) | −44.7074 | − | 403.865i | −0.0851570 | − | 0.769266i | ||||
\(526\) | −245.451 | − | 248.459i | −0.466636 | − | 0.472355i | ||||
\(527\) | 216.076 | − | 110.096i | 0.410012 | − | 0.208912i | ||||
\(528\) | −602.860 | + | 636.081i | −1.14178 | + | 1.20470i | ||||
\(529\) | 279.337 | − | 384.474i | 0.528047 | − | 0.726794i | ||||
\(530\) | 108.434 | − | 806.614i | 0.204592 | − | 1.52191i | ||||
\(531\) | 4.77874 | + | 10.8024i | 0.00899951 | + | 0.0203435i | ||||
\(532\) | −276.147 | + | 269.500i | −0.519073 | + | 0.506579i | ||||
\(533\) | −1244.47 | − | 197.104i | −2.33483 | − | 0.369801i | ||||
\(534\) | 25.6962 | + | 125.373i | 0.0481203 | + | 0.234781i | ||||
\(535\) | −425.626 | − | 401.194i | −0.795562 | − | 0.749895i | ||||
\(536\) | −560.572 | + | 272.842i | −1.04584 | + | 0.509034i | ||||
\(537\) | 137.285 | + | 649.677i | 0.255651 | + | 1.20983i | ||||
\(538\) | 813.496 | − | 258.854i | 1.51207 | − | 0.481141i | ||||
\(539\) | −341.172 | − | 110.854i | −0.632973 | − | 0.205665i | ||||
\(540\) | −173.934 | − | 511.221i | −0.322100 | − | 0.946706i | ||||
\(541\) | 169.760 | + | 522.468i | 0.313789 | + | 0.965745i | 0.976250 | + | 0.216648i | \(0.0695123\pi\) |
−0.662460 | + | 0.749097i | \(0.730488\pi\) | |||||||
\(542\) | 280.983 | − | 201.543i | 0.518418 | − | 0.371850i | ||||
\(543\) | −32.2753 | + | 303.601i | −0.0594389 | + | 0.559118i | ||||
\(544\) | 209.278 | + | 39.7128i | 0.384702 | + | 0.0730014i | ||||
\(545\) | 178.020 | − | 63.7142i | 0.326642 | − | 0.116907i | ||||
\(546\) | −527.740 | + | 577.601i | −0.966557 | + | 1.05788i | ||||
\(547\) | −51.5012 | + | 8.15699i | −0.0941521 | + | 0.0149122i | −0.203333 | − | 0.979110i | \(-0.565177\pi\) |
0.109181 | + | 0.994022i | \(0.465177\pi\) | |||||||
\(548\) | −65.8911 | − | 133.308i | −0.120239 | − | 0.243263i | ||||
\(549\) | 282.949 | + | 60.8473i | 0.515389 | + | 0.110833i | ||||
\(550\) | −496.715 | + | 765.931i | −0.903118 | + | 1.39260i | ||||
\(551\) | 162.337 | 0.294622 | ||||||||
\(552\) | −59.8557 | − | 165.486i | −0.108434 | − | 0.299793i | ||||
\(553\) | −96.7684 | + | 15.3266i | −0.174988 | + | 0.0277154i | ||||
\(554\) | −1051.96 | + | 160.054i | −1.89885 | + | 0.288905i | ||||
\(555\) | 127.782 | + | 306.609i | 0.230237 | + | 0.552448i | ||||
\(556\) | 857.723 | − | 607.349i | 1.54267 | − | 1.09235i | ||||
\(557\) | 243.061 | − | 243.061i | 0.436375 | − | 0.436375i | −0.454415 | − | 0.890790i | \(-0.650152\pi\) |
0.890790 | + | 0.454415i | \(0.150152\pi\) | |||||||
\(558\) | 601.303 | − | 261.636i | 1.07760 | − | 0.468882i | ||||
\(559\) | 121.685 | + | 374.508i | 0.217683 | + | 0.669960i | ||||
\(560\) | 387.194 | + | 194.766i | 0.691418 | + | 0.347796i | ||||
\(561\) | 340.546 | − | 130.258i | 0.607035 | − | 0.232190i | ||||
\(562\) | −48.4978 | − | 152.413i | −0.0862950 | − | 0.271198i | ||||
\(563\) | 48.6182 | + | 24.7722i | 0.0863555 | + | 0.0440003i | 0.496635 | − | 0.867960i | \(-0.334569\pi\) |
−0.410279 | + | 0.911960i | \(0.634569\pi\) | |||||||
\(564\) | −157.580 | − | 427.509i | −0.279397 | − | 0.757995i | ||||
\(565\) | 127.496 | − | 269.629i | 0.225657 | − | 0.477220i | ||||
\(566\) | −163.652 | − | 84.6441i | −0.289137 | − | 0.149548i | ||||
\(567\) | −240.759 | + | 366.898i | −0.424619 | + | 0.647086i | ||||
\(568\) | −14.1926 | + | 776.694i | −0.0249870 | + | 1.36742i | ||||
\(569\) | 568.809 | − | 413.264i | 0.999665 | − | 0.726299i | 0.0376483 | − | 0.999291i | \(-0.488013\pi\) |
0.962016 | + | 0.272992i | \(0.0880133\pi\) | |||||||
\(570\) | −206.347 | + | 492.694i | −0.362013 | + | 0.864375i | ||||
\(571\) | 233.817 | − | 321.821i | 0.409486 | − | 0.563610i | −0.553607 | − | 0.832778i | \(-0.686749\pi\) |
0.963093 | + | 0.269169i | \(0.0867489\pi\) | |||||||
\(572\) | 1739.35 | − | 253.809i | 3.04082 | − | 0.443722i | ||||
\(573\) | 169.957 | + | 75.9125i | 0.296610 | + | 0.132483i | ||||
\(574\) | 403.529 | − | 398.643i | 0.703012 | − | 0.694500i | ||||
\(575\) | −92.7200 | − | 158.132i | −0.161252 | − | 0.275012i | ||||
\(576\) | 558.326 | + | 141.591i | 0.969316 | + | 0.245818i | ||||
\(577\) | 47.1012 | − | 23.9993i | 0.0816312 | − | 0.0415932i | −0.412698 | − | 0.910868i | \(-0.635414\pi\) |
0.494330 | + | 0.869275i | \(0.335414\pi\) | |||||||
\(578\) | 394.156 | + | 290.055i | 0.681931 | + | 0.501826i | ||||
\(579\) | 3.51945 | + | 68.7208i | 0.00607850 | + | 0.118689i | ||||
\(580\) | −59.3500 | − | 172.417i | −0.102328 | − | 0.297271i | ||||
\(581\) | 302.359 | + | 416.162i | 0.520412 | + | 0.716286i | ||||
\(582\) | 77.6367 | + | 97.3137i | 0.133396 | + | 0.167206i | ||||
\(583\) | 1467.66 | + | 232.454i | 2.51743 | + | 0.398721i | ||||
\(584\) | 502.030 | − | 942.321i | 0.859640 | − | 1.61356i | ||||
\(585\) | −360.543 | + | 1021.32i | −0.616313 | + | 1.74584i | ||||
\(586\) | −47.0017 | − | 93.6517i | −0.0802077 | − | 0.159815i | ||||
\(587\) | −83.9171 | + | 164.697i | −0.142959 | + | 0.280574i | −0.951373 | − | 0.308041i | \(-0.900327\pi\) |
0.808414 | + | 0.588615i | \(0.200327\pi\) | |||||||
\(588\) | 45.9324 | + | 231.258i | 0.0781163 | + | 0.393296i | ||||
\(589\) | −616.918 | − | 200.449i | −1.04740 | − | 0.340321i | ||||
\(590\) | −13.1211 | + | 0.307748i | −0.0222391 | + | 0.000521606i | ||||
\(591\) | 247.934 | − | 380.792i | 0.419517 | − | 0.644318i | ||||
\(592\) | −348.499 | − | 63.9352i | −0.588681 | − | 0.107999i | ||||
\(593\) | 106.379 | + | 106.379i | 0.179391 | + | 0.179391i | 0.791090 | − | 0.611699i | \(-0.209514\pi\) |
−0.611699 | + | 0.791090i | \(0.709514\pi\) | |||||||
\(594\) | 940.571 | − | 295.593i | 1.58345 | − | 0.497632i | ||||
\(595\) | −110.252 | − | 142.688i | −0.185298 | − | 0.239811i | ||||
\(596\) | −454.510 | − | 338.755i | −0.762600 | − | 0.568381i | ||||
\(597\) | −336.359 | + | 372.671i | −0.563415 | + | 0.624239i | ||||
\(598\) | −111.114 | + | 335.017i | −0.185809 | + | 0.560229i | ||||
\(599\) | − | 31.0085i | − | 0.0517670i | −0.999665 | − | 0.0258835i | \(-0.991760\pi\) | ||
0.999665 | − | 0.0258835i | \(-0.00823990\pi\) | |||||||
\(600\) | 598.729 | + | 39.0327i | 0.997882 | + | 0.0650546i | ||||
\(601\) | 715.979 | 1.19131 | 0.595656 | − | 0.803240i | \(-0.296892\pi\) | ||||
0.595656 | + | 0.803240i | \(0.296892\pi\) | |||||||
\(602\) | −168.263 | − | 55.8073i | −0.279507 | − | 0.0927032i | ||||
\(603\) | 700.325 | + | 38.3752i | 1.16140 | + | 0.0636404i | ||||
\(604\) | −17.0814 | + | 22.9181i | −0.0282804 | + | 0.0379439i | ||||
\(605\) | −877.034 | − | 598.439i | −1.44964 | − | 0.989155i | ||||
\(606\) | −137.746 | − | 242.646i | −0.227304 | − | 0.400407i | ||||
\(607\) | −827.209 | + | 827.209i | −1.36278 | + | 1.36278i | −0.492431 | + | 0.870352i | \(0.663892\pi\) |
−0.870352 | + | 0.492431i | \(0.836108\pi\) | |||||||
\(608\) | −320.712 | − | 470.937i | −0.527488 | − | 0.774567i | ||||
\(609\) | −80.8559 | + | 124.183i | −0.132768 | + | 0.203913i | ||||
\(610\) | −182.865 | + | 264.520i | −0.299778 | + | 0.433639i | ||||
\(611\) | −282.398 | + | 869.133i | −0.462191 | + | 1.42248i | ||||
\(612\) | −184.019 | − | 153.506i | −0.300684 | − | 0.250826i | ||||
\(613\) | −155.778 | − | 79.3727i | −0.254123 | − | 0.129482i | 0.322289 | − | 0.946641i | \(-0.395548\pi\) |
−0.576412 | + | 0.817159i | \(0.695548\pi\) | |||||||
\(614\) | −694.811 | + | 348.710i | −1.13161 | + | 0.567932i | ||||
\(615\) | 298.924 | − | 726.118i | 0.486055 | − | 1.18068i | ||||
\(616\) | −372.080 | + | 698.402i | −0.604026 | + | 1.13377i | ||||
\(617\) | −80.5831 | + | 508.781i | −0.130605 | + | 0.824605i | 0.832214 | + | 0.554455i | \(0.187073\pi\) |
−0.962818 | + | 0.270150i | \(0.912927\pi\) | |||||||
\(618\) | −9.27209 | − | 11.6221i | −0.0150034 | − | 0.0188060i | ||||
\(619\) | −439.938 | + | 319.633i | −0.710723 | + | 0.516371i | −0.883407 | − | 0.468607i | \(-0.844756\pi\) |
0.172684 | + | 0.984977i | \(0.444756\pi\) | |||||||
\(620\) | 12.6481 | + | 728.511i | 0.0204002 | + | 1.17502i | ||||
\(621\) | −31.6685 | + | 195.426i | −0.0509959 | + | 0.314695i | ||||
\(622\) | 142.825 | − | 194.085i | 0.229622 | − | 0.312033i | ||||
\(623\) | 52.4632 | + | 102.965i | 0.0842106 | + | 0.165273i | ||||
\(624\) | −703.875 | − | 916.116i | −1.12800 | − | 1.46814i | ||||
\(625\) | 620.642 | − | 73.6796i | 0.993027 | − | 0.117887i | ||||
\(626\) | −274.431 | − | 277.794i | −0.438388 | − | 0.443761i | ||||
\(627\) | −890.473 | − | 397.736i | −1.42021 | − | 0.634347i | ||||
\(628\) | 115.646 | + | 792.518i | 0.184149 | + | 1.26197i | ||||
\(629\) | 119.257 | + | 86.6449i | 0.189597 | + | 0.137750i | ||||
\(630\) | −274.121 | − | 403.249i | −0.435113 | − | 0.640077i | ||||
\(631\) | 18.5972 | + | 25.5969i | 0.0294726 | + | 0.0405656i | 0.823499 | − | 0.567318i | \(-0.192019\pi\) |
−0.794026 | + | 0.607883i | \(0.792019\pi\) | |||||||
\(632\) | 2.64316 | − | 144.648i | 0.00418222 | − | 0.228873i | ||||
\(633\) | −374.965 | + | 215.891i | −0.592361 | + | 0.341060i | ||||
\(634\) | 194.677 | − | 376.391i | 0.307062 | − | 0.593677i | ||||
\(635\) | 113.684 | + | 207.713i | 0.179030 | + | 0.327107i | ||||
\(636\) | −337.775 | − | 916.374i | −0.531093 | − | 1.44084i | ||||
\(637\) | 214.692 | − | 421.357i | 0.337036 | − | 0.661470i | ||||
\(638\) | 317.252 | − | 100.949i | 0.497260 | − | 0.158228i | ||||
\(639\) | 438.765 | − | 755.800i | 0.686643 | − | 1.18279i | ||||
\(640\) | −382.929 | + | 512.802i | −0.598326 | + | 0.801253i | ||||
\(641\) | −342.316 | + | 111.225i | −0.534034 | + | 0.173518i | −0.563605 | − | 0.826045i | \(-0.690586\pi\) |
0.0295710 | + | 0.999563i | \(0.490586\pi\) | |||||||
\(642\) | −676.629 | − | 186.593i | −1.05394 | − | 0.290643i | ||||
\(643\) | −654.676 | − | 654.676i | −1.01816 | − | 1.01816i | −0.999832 | − | 0.0183263i | \(-0.994166\pi\) |
−0.0183263 | − | 0.999832i | \(-0.505834\pi\) | |||||||
\(644\) | −91.8267 | − | 129.681i | −0.142588 | − | 0.201369i | ||||
\(645\) | −244.612 | + | 19.7855i | −0.379243 | + | 0.0306752i | ||||
\(646\) | 35.6557 | + | 234.350i | 0.0551946 | + | 0.362771i | ||||
\(647\) | −137.823 | − | 870.181i | −0.213019 | − | 1.34495i | −0.829909 | − | 0.557898i | \(-0.811608\pi\) |
0.616891 | − | 0.787049i | \(-0.288392\pi\) | |||||||
\(648\) | −471.443 | − | 444.573i | −0.727536 | − | 0.686069i | ||||
\(649\) | − | 23.9629i | − | 0.0369227i | ||||||
\(650\) | −894.833 | − | 804.690i | −1.37667 | − | 1.23798i | ||||
\(651\) | 460.610 | − | 372.087i | 0.707542 | − | 0.571562i | ||||
\(652\) | −271.102 | + | 133.999i | −0.415800 | + | 0.205520i | ||||
\(653\) | 46.5508 | + | 293.910i | 0.0712876 | + | 0.450092i | 0.997352 | + | 0.0727265i | \(0.0231700\pi\) |
−0.926064 | + | 0.377366i | \(0.876830\pi\) | |||||||
\(654\) | 153.045 | − | 167.505i | 0.234014 | − | 0.256124i | ||||
\(655\) | 207.507 | − | 160.336i | 0.316804 | − | 0.244788i | ||||
\(656\) | 475.670 | + | 689.416i | 0.725107 | + | 1.05094i | ||||
\(657\) | −1008.94 | + | 651.804i | −1.53568 | + | 0.992092i | ||||
\(658\) | −239.790 | − | 334.306i | −0.364423 | − | 0.508064i | ||||
\(659\) | 11.8354 | − | 3.84554i | 0.0179596 | − | 0.00583542i | −0.300023 | − | 0.953932i | \(-0.596995\pi\) |
0.317983 | + | 0.948096i | \(0.396995\pi\) | |||||||
\(660\) | −96.8782 | + | 1091.18i | −0.146785 | + | 1.65330i | ||||
\(661\) | −399.069 | + | 1228.21i | −0.603735 | + | 1.85810i | −0.0984712 | + | 0.995140i | \(0.531395\pi\) |
−0.505264 | + | 0.862965i | \(0.668605\pi\) | |||||||
\(662\) | −262.119 | − | 823.756i | −0.395950 | − | 1.24435i | ||||
\(663\) | 99.3726 | + | 470.264i | 0.149883 | + | 0.709298i | ||||
\(664\) | −682.981 | + | 332.421i | −1.02859 | + | 0.500634i | ||||
\(665\) | −61.3485 | + | 478.407i | −0.0922535 | + | 0.719408i | ||||
\(666\) | 307.638 | + | 253.465i | 0.461918 | + | 0.380579i | ||||
\(667\) | −10.4579 | + | 66.0288i | −0.0156791 | + | 0.0989937i | ||||
\(668\) | 549.473 | + | 563.024i | 0.822564 | + | 0.842851i | ||||
\(669\) | 219.671 | − | 815.934i | 0.328357 | − | 1.21963i | ||||
\(670\) | −337.419 | + | 702.472i | −0.503610 | + | 1.04847i | ||||
\(671\) | −474.996 | − | 345.105i | −0.707893 | − | 0.514314i | ||||
\(672\) | 519.993 | − | 10.7744i | 0.773799 | − | 0.0160333i | ||||
\(673\) | −460.888 | − | 904.544i | −0.684827 | − | 1.34405i | −0.927457 | − | 0.373929i | \(-0.878010\pi\) |
0.242631 | − | 0.970119i | \(-0.421990\pi\) | |||||||
\(674\) | 509.330 | − | 503.163i | 0.755682 | − | 0.746533i | ||||
\(675\) | −567.257 | − | 365.847i | −0.840381 | − | 0.541996i | ||||
\(676\) | −19.9905 | + | 1641.08i | −0.0295718 | + | 2.42764i | ||||
\(677\) | −4.87571 | − | 9.56912i | −0.00720193 | − | 0.0141346i | 0.887378 | − | 0.461044i | \(-0.152525\pi\) |
−0.894579 | + | 0.446909i | \(0.852525\pi\) | |||||||
\(678\) | −16.1284 | − | 357.541i | −0.0237882 | − | 0.527347i | ||||
\(679\) | 90.9401 | + | 66.0718i | 0.133932 | + | 0.0973075i | ||||
\(680\) | 235.867 | − | 123.548i | 0.346863 | − | 0.181688i | ||||
\(681\) | 323.558 | − | 1201.81i | 0.475122 | − | 1.76477i | ||||
\(682\) | −1330.28 | − | 8.10199i | −1.95056 | − | 0.0118797i | ||||
\(683\) | −159.372 | + | 1006.23i | −0.233341 | + | 1.47326i | 0.541286 | + | 0.840838i | \(0.317938\pi\) |
−0.774627 | + | 0.632418i | \(0.782062\pi\) | |||||||
\(684\) | 57.7119 | + | 638.388i | 0.0843741 | + | 0.933316i | ||||
\(685\) | −168.040 | − | 79.4589i | −0.245314 | − | 0.115998i | ||||
\(686\) | 333.651 | + | 664.807i | 0.486372 | + | 0.969106i | ||||
\(687\) | −164.266 | − | 777.360i | −0.239106 | − | 1.13153i | ||||
\(688\) | 124.488 | − | 230.276i | 0.180942 | − | 0.334704i | ||||
\(689\) | −605.326 | + | 1863.00i | −0.878558 | + | 2.70392i | ||||
\(690\) | −187.105 | − | 115.670i | −0.271167 | − | 0.167637i | ||||
\(691\) | −223.045 | + | 72.4718i | −0.322786 | + | 0.104880i | −0.465928 | − | 0.884823i | \(-0.654280\pi\) |
0.143142 | + | 0.989702i | \(0.454280\pi\) | |||||||
\(692\) | 1200.28 | + | 205.122i | 1.73450 | + | 0.296419i | ||||
\(693\) | 747.780 | − | 483.086i | 1.07905 | − | 0.697093i | ||||
\(694\) | −61.9990 | + | 376.588i | −0.0893357 | + | 0.542633i | ||||
\(695\) | 368.883 | − | 1260.87i | 0.530767 | − | 1.81421i | ||||
\(696\) | −159.731 | − | 149.553i | −0.229499 | − | 0.214875i | ||||
\(697\) | −54.5128 | − | 344.180i | −0.0782106 | − | 0.493802i | ||||
\(698\) | 69.1532 | − | 208.502i | 0.0990733 | − | 0.298714i | ||||
\(699\) | 298.179 | − | 240.873i | 0.426579 | − | 0.344597i | ||||
\(700\) | 530.543 | − | 109.747i | 0.757919 | − | 0.156781i | ||||
\(701\) | 841.349i | 1.20021i | 0.799920 | + | 0.600106i | \(0.204875\pi\) | ||||
−0.799920 | + | 0.600106i | \(0.795125\pi\) | |||||||
\(702\) | 190.906 | + | 1285.61i | 0.271945 | + | 1.83135i | ||||
\(703\) | −61.6811 | − | 389.439i | −0.0877398 | − | 0.553967i | ||||
\(704\) | −919.616 | − | 720.908i | −1.30627 | − | 1.02402i | ||||
\(705\) | −486.251 | − | 296.526i | −0.689718 | − | 0.420604i | ||||
\(706\) | −196.926 | + | 1196.14i | −0.278932 | + | 1.69426i | ||||
\(707\) | −178.150 | − | 178.150i | −0.251980 | − | 0.251980i | ||||
\(708\) | −13.7436 | + | 7.69172i | −0.0194119 | + | 0.0108640i | ||||
\(709\) | 768.286 | − | 249.631i | 1.08362 | − | 0.352089i | 0.287842 | − | 0.957678i | \(-0.407062\pi\) |
0.795778 | + | 0.605589i | \(0.207062\pi\) | |||||||
\(710\) | 589.021 | + | 771.981i | 0.829606 | + | 1.08730i | ||||
\(711\) | −81.7134 | + | 140.757i | −0.114927 | + | 0.197970i | ||||
\(712\) | −163.224 | + | 49.7566i | −0.229247 | + | 0.0698829i | ||||
\(713\) | 121.273 | − | 238.012i | 0.170089 | − | 0.333818i | ||||
\(714\) | −197.031 | − | 89.4483i | −0.275953 | − | 0.125278i | ||||
\(715\) | 1507.10 | − | 1598.88i | 2.10783 | − | 2.23619i | ||||
\(716\) | −845.302 | + | 263.316i | −1.18059 | + | 0.367760i | ||||
\(717\) | 783.356 | − | 451.028i | 1.09255 | − | 0.629048i | ||||
\(718\) | −495.675 | − | 3.01887i | −0.690355 | − | 0.00420455i | ||||
\(719\) | 382.185 | + | 526.033i | 0.531551 | + | 0.731618i | 0.987366 | − | 0.158457i | \(-0.0506520\pi\) |
−0.455815 | + | 0.890075i | \(0.650652\pi\) | |||||||
\(720\) | 656.931 | − | 294.689i | 0.912404 | − | 0.409291i | ||||
\(721\) | −10.8609 | − | 7.89090i | −0.0150637 | − | 0.0109444i | ||||
\(722\) | −52.1231 | + | 70.8301i | −0.0721927 | + | 0.0981026i | ||||
\(723\) | −57.7761 | − | 25.8061i | −0.0799116 | − | 0.0356930i | ||||
\(724\) | −407.052 | − | 4.95843i | −0.562227 | − | 0.00684865i | ||||
\(725\) | −191.991 | − | 122.854i | −0.264815 | − | 0.169453i | ||||
\(726\) | −1266.12 | − | 142.402i | −1.74397 | − | 0.196147i | ||||
\(727\) | −60.2966 | − | 118.339i | −0.0829389 | − | 0.162777i | 0.845812 | − | 0.533481i | \(-0.179116\pi\) |
−0.928751 | + | 0.370704i | \(0.879116\pi\) | |||||||
\(728\) | −832.611 | − | 628.486i | −1.14370 | − | 0.863304i | ||||
\(729\) | 220.314 | + | 694.912i | 0.302214 | + | 0.953240i | ||||
\(730\) | −239.635 | − | 1312.95i | −0.328267 | − | 1.79856i | ||||
\(731\) | −88.1079 | + | 64.0141i | −0.120531 | + | 0.0875706i | ||||
\(732\) | −45.4644 | + | 383.202i | −0.0621098 | + | 0.523500i | ||||
\(733\) | −157.823 | + | 996.454i | −0.215311 | + | 1.35942i | 0.608950 | + | 0.793208i | \(0.291591\pi\) |
−0.824261 | + | 0.566210i | \(0.808409\pi\) | |||||||
\(734\) | 156.761 | − | 303.084i | 0.213571 | − | 0.412921i | ||||
\(735\) | 224.521 | + | 190.918i | 0.305471 | + | 0.259752i | ||||
\(736\) | 212.210 | − | 100.108i | 0.288328 | − | 0.136017i | ||||
\(737\) | −1267.77 | − | 645.960i | −1.72017 | − | 0.876472i | ||||
\(738\) | −90.5532 | − | 937.927i | −0.122701 | − | 1.27090i | ||||
\(739\) | −209.451 | + | 644.623i | −0.283424 | + | 0.872290i | 0.703442 | + | 0.710752i | \(0.251645\pi\) |
−0.986867 | + | 0.161538i | \(0.948355\pi\) | |||||||
\(740\) | −391.072 | + | 207.890i | −0.528475 | + | 0.280932i | ||||
\(741\) | 701.499 | − | 1077.40i | 0.946692 | − | 1.45398i | ||||
\(742\) | −513.995 | − | 716.591i | −0.692716 | − | 0.965756i | ||||
\(743\) | −453.229 | + | 453.229i | −0.609998 | + | 0.609998i | −0.942945 | − | 0.332947i | \(-0.891957\pi\) |
0.332947 | + | 0.942945i | \(0.391957\pi\) | |||||||
\(744\) | 422.354 | + | 765.569i | 0.567680 | + | 1.02899i | ||||
\(745\) | −708.270 | + | 20.9288i | −0.950698 | + | 0.0280923i | ||||
\(746\) | 1.75271 | + | 11.5198i | 0.00234948 | + | 0.0154422i | ||||
\(747\) | 853.251 | + | 46.7550i | 1.14224 | + | 0.0625903i | ||||
\(748\) | 215.413 | + | 435.814i | 0.287985 | + | 0.582639i | ||||
\(749\) | −633.775 | −0.846161 | ||||||||
\(750\) | 616.902 | − | 426.534i | 0.822537 | − | 0.568712i | ||||
\(751\) | − | 621.370i | − | 0.827390i | −0.910415 | − | 0.413695i | \(-0.864238\pi\) | ||
0.910415 | − | 0.413695i | \(-0.135762\pi\) | |||||||
\(752\) | 547.846 | − | 262.533i | 0.728519 | − | 0.349113i | ||||
\(753\) | −387.616 | + | 429.462i | −0.514762 | + | 0.570334i | ||||
\(754\) | 66.0152 | + | 433.890i | 0.0875533 | + | 0.575451i | ||||
\(755\) | 1.05531 | + | 35.7137i | 0.00139776 | + | 0.0473030i | ||||
\(756\) | −517.094 | − | 273.817i | −0.683987 | − | 0.362192i | ||||
\(757\) | 310.477 | + | 310.477i | 0.410142 | + | 0.410142i | 0.881788 | − | 0.471646i | \(-0.156340\pi\) |
−0.471646 | + | 0.881788i | \(0.656340\pi\) | |||||||
\(758\) | −602.565 | − | 840.071i | −0.794940 | − | 1.10827i | ||||
\(759\) | 219.140 | − | 336.568i | 0.288722 | − | 0.443437i | ||||
\(760\) | −679.792 | − | 212.439i | −0.894463 | − | 0.279524i | ||||
\(761\) | 164.415 | + | 53.4216i | 0.216051 | + | 0.0701992i | 0.415043 | − | 0.909802i | \(-0.363767\pi\) |
−0.198992 | + | 0.980001i | \(0.563767\pi\) | |||||||
\(762\) | 237.172 | + | 156.488i | 0.311249 | + | 0.205365i | ||||
\(763\) | 93.0116 | − | 182.546i | 0.121903 | − | 0.239247i | ||||
\(764\) | −79.5633 | + | 235.088i | −0.104141 | + | 0.307707i | ||||
\(765\) | −299.453 | − | 7.54811i | −0.391442 | − | 0.00986681i | ||||
\(766\) | 407.485 | − | 787.836i | 0.531965 | − | 1.02851i | ||||
\(767\) | 31.2004 | + | 4.94166i | 0.0406785 | + | 0.00644284i | ||||
\(768\) | −118.286 | + | 758.836i | −0.154018 | + | 0.988068i | ||||
\(769\) | 320.226 | + | 440.753i | 0.416418 | + | 0.573151i | 0.964769 | − | 0.263098i | \(-0.0847441\pi\) |
−0.548351 | + | 0.836248i | \(0.684744\pi\) | |||||||
\(770\) | 177.606 | + | 973.092i | 0.230657 | + | 1.26376i | ||||
\(771\) | 49.5130 | + | 966.791i | 0.0642192 | + | 1.25394i | ||||
\(772\) | −90.7864 | + | 13.2477i | −0.117599 | + | 0.0171602i | ||||
\(773\) | −657.169 | + | 334.844i | −0.850154 | + | 0.433175i | −0.824072 | − | 0.566485i | \(-0.808303\pi\) |
−0.0260819 | + | 0.999660i | \(0.508303\pi\) | |||||||
\(774\) | −248.333 | + | 158.294i | −0.320843 | + | 0.204514i | ||||
\(775\) | 577.914 | + | 703.937i | 0.745696 | + | 0.908306i | ||||
\(776\) | −119.494 | + | 115.205i | −0.153987 | + | 0.148460i | ||||
\(777\) | 328.632 | + | 146.786i | 0.422950 | + | 0.188913i | ||||
\(778\) | 121.027 | − | 164.464i | 0.155562 | − | 0.211393i | ||||
\(779\) | −547.873 | + | 754.082i | −0.703302 | + | 0.968013i | ||||
\(780\) | −1400.77 | − | 351.164i | −1.79586 | − | 0.450210i | ||||
\(781\) | −1434.30 | + | 1042.08i | −1.83650 | + | 1.33429i | ||||
\(782\) | −97.6165 | − | 0.594526i | −0.124829 | − | 0.000760264i | ||||
\(783\) | 75.2331 | + | 234.389i | 0.0960831 | + | 0.299348i | ||||
\(784\) | −301.258 | + | 89.8330i | −0.384258 | + | 0.114583i | ||||
\(785\) | 728.512 | + | 686.694i | 0.928041 | + | 0.874770i | ||||
\(786\) | 130.082 | − | 286.536i | 0.165499 | − | 0.364549i | ||||
\(787\) | 89.8908 | + | 45.8016i | 0.114220 | + | 0.0581978i | 0.510167 | − | 0.860076i | \(-0.329584\pi\) |
−0.395947 | + | 0.918273i | \(0.629584\pi\) | |||||||
\(788\) | 536.434 | + | 281.609i | 0.680753 | + | 0.357372i | ||||
\(789\) | −489.307 | + | 187.159i | −0.620161 | + | 0.237210i | ||||
\(790\) | −109.696 | − | 143.770i | −0.138856 | − | 0.181987i | ||||
\(791\) | −99.8660 | − | 307.356i | −0.126253 | − | 0.388566i | ||||
\(792\) | 509.768 | + | 1211.70i | 0.643647 | + | 1.52993i | ||||
\(793\) | 547.292 | − | 547.292i | 0.690154 | − | 0.690154i | ||||
\(794\) | −89.0923 | + | 541.155i | −0.112207 | + | 0.681555i | ||||
\(795\) | −1042.29 | − | 635.609i | −1.31106 | − | 0.799508i | ||||
\(796\) | −536.687 | − | 400.004i | −0.674230 | − | 0.502517i | ||||
\(797\) | −409.277 | + | 64.8231i | −0.513522 | + | 0.0813339i | −0.407817 | − | 0.913064i | \(-0.633710\pi\) |
−0.105705 | + | 0.994398i | \(0.533710\pi\) | |||||||
\(798\) | 203.480 | + | 541.842i | 0.254987 | + | 0.679000i | ||||
\(799\) | −252.745 | −0.316327 | ||||||||
\(800\) | 22.9003 | + | 799.672i | 0.0286254 | + | 0.999590i | ||||
\(801\) | 187.678 | + | 40.3597i | 0.234305 | + | 0.0503866i | ||||
\(802\) | −143.251 | + | 431.912i | −0.178617 | + | 0.538544i | ||||
\(803\) | 2406.76 | − | 381.194i | 2.99721 | − | 0.474712i | ||||
\(804\) | 36.4514 | + | 934.457i | 0.0453376 | + | 1.16226i | ||||
\(805\) | −190.635 | − | 55.7725i | −0.236814 | − | 0.0692826i | ||||
\(806\) | 284.882 | − | 1730.40i | 0.353452 | − | 2.14690i | ||||
\(807\) | 135.368 | − | 1273.35i | 0.167742 | − | 1.57789i | ||||
\(808\) | 304.919 | − | 213.135i | 0.377375 | − | 0.263781i | ||||
\(809\) | 6.51650 | + | 20.0557i | 0.00805500 | + | 0.0247907i | 0.955003 | − | 0.296595i | \(-0.0958513\pi\) |
−0.946948 | + | 0.321386i | \(0.895851\pi\) | |||||||
\(810\) | −807.004 | − | 69.6006i | −0.996301 | − | 0.0859267i | ||||
\(811\) | 376.518 | + | 122.338i | 0.464264 | + | 0.150849i | 0.531803 | − | 0.846868i | \(-0.321515\pi\) |
−0.0675388 | + | 0.997717i | \(0.521515\pi\) | |||||||
\(812\) | −174.941 | − | 91.8378i | −0.215444 | − | 0.113101i | ||||
\(813\) | −107.236 | − | 507.478i | −0.131902 | − | 0.624205i | ||||
\(814\) | −362.716 | − | 722.718i | −0.445597 | − | 0.887859i | ||||
\(815\) | −161.591 | + | 341.734i | −0.198271 | + | 0.419305i | ||||
\(816\) | 180.812 | − | 263.437i | 0.221583 | − | 0.322840i | ||||
\(817\) | 287.721 | + | 45.5706i | 0.352168 | + | 0.0557779i | ||||
\(818\) | −1305.80 | − | 7.95289i | −1.59634 | − | 0.00972237i | ||||
\(819\) | 474.785 | + | 1073.26i | 0.579713 | + | 1.31045i | ||||
\(820\) | 1001.21 | + | 306.203i | 1.22099 | + | 0.373418i | ||||
\(821\) | 653.345 | − | 899.253i | 0.795792 | − | 1.09531i | −0.197570 | − | 0.980289i | \(-0.563305\pi\) |
0.993363 | − | 0.115025i | \(-0.0366949\pi\) | |||||||
\(822\) | −222.829 | + | 10.0516i | −0.271081 | + | 0.0122283i | ||||
\(823\) | −626.958 | + | 319.451i | −0.761796 | + | 0.388155i | −0.791314 | − | 0.611410i | \(-0.790603\pi\) |
0.0295181 | + | 0.999564i | \(0.490603\pi\) | |||||||
\(824\) | 14.2710 | − | 13.7588i | 0.0173192 | − | 0.0166976i | ||||
\(825\) | 752.137 | + | 1144.28i | 0.911681 | + | 1.38701i | ||||
\(826\) | −10.1170 | + | 9.99450i | −0.0122482 | + | 0.0120999i | ||||
\(827\) | −511.596 | + | 260.671i | −0.618617 | + | 0.315201i | −0.735066 | − | 0.677996i | \(-0.762849\pi\) |
0.116449 | + | 0.993197i | \(0.462849\pi\) | |||||||
\(828\) | −263.376 | − | 17.6520i | −0.318087 | − | 0.0213189i | ||||
\(829\) | −36.9074 | + | 50.7987i | −0.0445204 | + | 0.0612770i | −0.830697 | − | 0.556725i | \(-0.812058\pi\) |
0.786176 | + | 0.618002i | \(0.212058\pi\) | |||||||
\(830\) | −411.099 | + | 855.867i | −0.495300 | + | 1.03117i | ||||
\(831\) | −414.938 | + | 1541.23i | −0.499324 | + | 1.85467i | ||||
\(832\) | 1128.29 | − | 1048.70i | 1.35612 | − | 1.26046i | ||||
\(833\) | 129.179 | + | 20.4599i | 0.155077 | + | 0.0245617i | ||||
\(834\) | −316.531 | − | 1544.37i | −0.379533 | − | 1.85176i | ||||
\(835\) | 975.403 | + | 125.081i | 1.16815 | + | 0.149798i | ||||
\(836\) | 416.864 | − | 1231.72i | 0.498641 | − | 1.47335i | ||||
\(837\) | 3.51397 | − | 983.632i | 0.00419829 | − | 1.17519i | ||||
\(838\) | 43.7359 | + | 137.448i | 0.0521909 | + | 0.164019i | ||||
\(839\) | 976.584 | + | 317.311i | 1.16399 | + | 0.378202i | 0.826395 | − | 0.563091i | \(-0.190388\pi\) |
0.337591 | + | 0.941293i | \(0.390388\pi\) | |||||||
\(840\) | 501.097 | − | 414.212i | 0.596544 | − | 0.493109i | ||||
\(841\) | −234.196 | − | 720.782i | −0.278473 | − | 0.857053i | ||||
\(842\) | −432.950 | − | 603.601i | −0.514193 | − | 0.716866i | ||||
\(843\) | −238.570 | − | 25.3620i | −0.283002 | − | 0.0300854i | ||||
\(844\) | −333.383 | − | 470.817i | −0.395004 | − | 0.557840i | ||||
\(845\) | 1254.34 | + | 1623.36i | 1.48442 | + | 1.92114i | ||||
\(846\) | −682.176 | − | 41.5493i | −0.806354 | − | 0.0491126i | ||||
\(847\) | −1136.30 | + | 179.972i | −1.34156 | + | 0.212482i | ||||
\(848\) | 1174.32 | − | 562.745i | 1.38481 | − | 0.663614i | ||||
\(849\) | −214.986 | + | 173.669i | −0.253222 | + | 0.204557i | ||||
\(850\) | 135.183 | − | 304.142i | 0.159039 | − | 0.357814i | ||||
\(851\) | 162.374 | 0.190804 | ||||||||
\(852\) | 1058.06 | + | 488.135i | 1.24186 | + | 0.572929i | ||||
\(853\) | 1180.24 | − | 186.931i | 1.38363 | − | 0.219145i | 0.580166 | − | 0.814498i | \(-0.302988\pi\) |
0.803464 | + | 0.595353i | \(0.202988\pi\) | |||||||
\(854\) | 52.4114 | + | 344.478i | 0.0613717 | + | 0.403370i | ||||
\(855\) | 552.105 | + | 580.658i | 0.645737 | + | 0.679132i | ||||
\(856\) | 163.262 | − | 921.497i | 0.190727 | − | 1.07652i | ||||
\(857\) | −76.8348 | + | 76.8348i | −0.0896556 | + | 0.0896556i | −0.750512 | − | 0.660857i | \(-0.770193\pi\) |
0.660857 | + | 0.750512i | \(0.270193\pi\) | |||||||
\(858\) | 700.943 | − | 2541.78i | 0.816950 | − | 2.96245i | ||||
\(859\) | 280.352 | + | 862.833i | 0.326370 | + | 1.00446i | 0.970819 | + | 0.239815i | \(0.0770868\pi\) |
−0.644449 | + | 0.764647i | \(0.722913\pi\) | |||||||
\(860\) | −56.7901 | − | 322.249i | −0.0660350 | − | 0.374708i | ||||
\(861\) | −303.970 | − | 794.697i | −0.353043 | − | 0.922993i | ||||
\(862\) | 113.765 | − | 36.2001i | 0.131978 | − | 0.0419955i | ||||
\(863\) | 695.862 | + | 354.560i | 0.806330 | + | 0.410845i | 0.808021 | − | 0.589153i | \(-0.200539\pi\) |
−0.00169179 | + | 0.999999i | \(0.500539\pi\) | |||||||
\(864\) | 531.331 | − | 681.310i | 0.614966 | − | 0.788554i | ||||
\(865\) | 1335.20 | − | 730.773i | 1.54358 | − | 0.844824i | ||||
\(866\) | −618.235 | + | 1195.30i | −0.713897 | + | 1.38026i | ||||
\(867\) | 636.158 | − | 366.277i | 0.733746 | − | 0.422464i | ||||
\(868\) | 551.418 | + | 565.018i | 0.635274 | + | 0.650942i | ||||
\(869\) | 267.117 | − | 194.072i | 0.307385 | − | 0.223328i | ||||
\(870\) | −272.590 | − | 22.5290i | −0.313322 | − | 0.0258954i | ||||
\(871\) | 1102.50 | − | 1517.46i | 1.26579 | − | 1.74221i | ||||
\(872\) | 241.458 | + | 182.262i | 0.276902 | + | 0.209016i | ||||
\(873\) | 180.485 | − | 47.9003i | 0.206741 | − | 0.0548686i | ||||
\(874\) | 183.506 | + | 185.755i | 0.209961 | + | 0.212534i | ||||
\(875\) | 434.605 | − | 519.370i | 0.496691 | − | 0.593565i | ||||
\(876\) | −991.164 | − | 1258.01i | −1.13147 | − | 1.43609i | ||||
\(877\) | 787.463 | − | 401.233i | 0.897906 | − | 0.457506i | 0.0568055 | − | 0.998385i | \(-0.481909\pi\) |
0.841100 | + | 0.540880i | \(0.181909\pi\) | |||||||
\(878\) | −301.095 | + | 409.158i | −0.342932 | + | 0.466011i | ||||
\(879\) | −156.971 | + | 8.03908i | −0.178579 | + | 0.00914572i | ||||
\(880\) | −1460.61 | + | 7.56478i | −1.65979 | + | 0.00859634i | ||||
\(881\) | −194.918 | − | 268.282i | −0.221247 | − | 0.304520i | 0.683937 | − | 0.729541i | \(-0.260266\pi\) |
−0.905183 | + | 0.425022i | \(0.860266\pi\) | |||||||
\(882\) | 345.299 | + | 76.4587i | 0.391496 | + | 0.0866879i | ||||
\(883\) | −1404.63 | − | 222.471i | −1.59074 | − | 0.251949i | −0.702624 | − | 0.711561i | \(-0.747988\pi\) |
−0.888120 | + | 0.459612i | \(0.847988\pi\) | |||||||
\(884\) | −611.866 | + | 190.600i | −0.692156 | + | 0.215610i | ||||
\(885\) | −7.49440 | + | 18.2047i | −0.00846825 | + | 0.0205703i | ||||
\(886\) | 768.769 | − | 385.828i | 0.867685 | − | 0.435472i | ||||
\(887\) | −442.219 | + | 867.903i | −0.498556 | + | 0.978470i | 0.495398 | + | 0.868666i | \(0.335022\pi\) |
−0.993953 | + | 0.109804i | \(0.964978\pi\) | |||||||
\(888\) | −298.080 | + | 440.013i | −0.335676 | + | 0.495510i | ||||
\(889\) | 244.015 | + | 79.2851i | 0.274482 | + | 0.0891846i | ||||
\(890\) | −121.293 | + | 175.455i | −0.136285 | + | 0.197140i | ||||
\(891\) | 161.590 | − | 1470.03i | 0.181358 | − | 1.64987i | ||||
\(892\) | 1110.55 | + | 189.788i | 1.24501 | + | 0.212767i | ||||
\(893\) | 478.038 | + | 478.038i | 0.535317 | + | 0.535317i | ||||
\(894\) | −739.453 | + | 419.775i | −0.827129 | + | 0.469547i | ||||
\(895\) | −623.777 | + | 914.167i | −0.696957 | + | 1.02142i | ||||
\(896\) | 79.1928 | + | 688.936i | 0.0883849 | + | 0.768902i | ||||
\(897\) | 393.031 | + | 354.735i | 0.438162 | + | 0.395469i | ||||
\(898\) | 278.239 | + | 92.2826i | 0.309843 | + | 0.102765i | ||||
\(899\) | − | 332.153i | − | 0.369470i | ||||||
\(900\) | 414.867 | − | 798.677i | 0.460963 | − | 0.887419i | ||||
\(901\) | −541.764 | −0.601291 | ||||||||
\(902\) | −601.771 | + | 1814.39i | −0.667152 | + | 2.01151i | ||||
\(903\) | −178.167 | + | 197.401i | −0.197306 | + | 0.218606i | ||||
\(904\) | 472.616 | − | 66.0278i | 0.522805 | − | 0.0730396i | ||||
\(905\) | −402.657 | + | 311.125i | −0.444925 | + | 0.343784i | ||||
\(906\) | 21.1667 | + | 37.2861i | 0.0233628 | + | 0.0411546i | ||||
\(907\) | 379.743 | − | 379.743i | 0.418680 | − | 0.418680i | −0.466069 | − | 0.884749i | \(-0.654330\pi\) |
0.884749 | + | 0.466069i | \(0.154330\pi\) | |||||||
\(908\) | 1635.76 | + | 279.543i | 1.80149 | + | 0.307867i | ||||
\(909\) | −416.338 | + | 42.7566i | −0.458018 | + | 0.0470370i | ||||
\(910\) | −1303.62 | + | 30.5758i | −1.43255 | + | 0.0335998i | ||||
\(911\) | 127.513 | − | 392.443i | 0.139970 | − | 0.430783i | −0.856360 | − | 0.516379i | \(-0.827279\pi\) |
0.996330 | + | 0.0855962i | \(0.0272795\pi\) | |||||||
\(912\) | −840.246 | + | 156.276i | −0.921322 | + | 0.171355i | ||||
\(913\) | −1544.60 | − | 787.014i | −1.69179 | − | 0.862009i | ||||
\(914\) | −664.822 | − | 1324.67i | −0.727377 | − | 1.44931i | ||||
\(915\) | 252.925 | + | 410.734i | 0.276421 | + | 0.448889i | ||||
\(916\) | 1011.43 | − | 315.067i | 1.10418 | − | 0.343959i | ||||
\(917\) | 44.4499 | − | 280.646i | 0.0484732 | − | 0.306048i | ||||
\(918\) | −321.842 | + | 160.088i | −0.350590 | + | 0.174388i | ||||
\(919\) | −1243.15 | + | 903.201i | −1.35272 | + | 0.982808i | −0.353849 | + | 0.935303i | \(0.615127\pi\) |
−0.998871 | + | 0.0475058i | \(0.984873\pi\) | |||||||
\(920\) | 130.200 | − | 262.813i | 0.141522 | − | 0.285666i | ||||
\(921\) | 59.6427 | + | 1164.58i | 0.0647586 | + | 1.26448i | ||||
\(922\) | 759.339 | + | 558.789i | 0.823578 | + | 0.606062i | ||||
\(923\) | −1061.04 | − | 2082.41i | −1.14956 | − | 2.25613i | ||||
\(924\) | 734.603 | + | 932.379i | 0.795024 | + | 1.00907i | ||||
\(925\) | −221.772 | + | 507.257i | −0.239754 | + | 0.548386i | ||||
\(926\) | −263.758 | + | 260.564i | −0.284835 | + | 0.281387i | ||||
\(927\) | −21.5551 | + | 5.72069i | −0.0232526 | + | 0.00617119i | ||||
\(928\) | 178.596 | − | 230.703i | 0.192452 | − | 0.248603i | ||||
\(929\) | −1140.67 | − | 828.745i | −1.22785 | − | 0.892083i | −0.231120 | − | 0.972925i | \(-0.574239\pi\) |
−0.996727 | + | 0.0808421i | \(0.974239\pi\) | |||||||
\(930\) | 1008.09 | + | 422.202i | 1.08397 | + | 0.453981i | ||||
\(931\) | −205.629 | − | 283.025i | −0.220869 | − | 0.304001i | ||||
\(932\) | 356.964 | + | 365.768i | 0.383009 | + | 0.392455i | ||||
\(933\) | −180.356 | − | 313.247i | −0.193308 | − | 0.335742i | ||||
\(934\) | −938.547 | − | 485.436i | −1.00487 | − | 0.519739i | ||||
\(935\) | 549.360 | + | 259.768i | 0.587550 | + | 0.277827i | ||||
\(936\) | −1682.80 | + | 413.855i | −1.79786 | + | 0.442153i | ||||
\(937\) | 440.256 | − | 864.051i | 0.469857 | − | 0.922146i | −0.527505 | − | 0.849552i | \(-0.676872\pi\) |
0.997362 | − | 0.0725938i | \(-0.0231277\pi\) | |||||||
\(938\) | 256.044 | + | 804.664i | 0.272968 | + | 0.857850i | ||||
\(939\) | −547.079 | + | 209.257i | −0.582619 | + | 0.222851i | ||||
\(940\) | 332.953 | − | 682.493i | 0.354205 | − | 0.726056i | ||||
\(941\) | 1000.94 | − | 325.224i | 1.06369 | − | 0.345615i | 0.275665 | − | 0.961254i | \(-0.411102\pi\) |
0.788028 | + | 0.615639i | \(0.211102\pi\) | |||||||
\(942\) | 1158.14 | + | 319.378i | 1.22944 | + | 0.339042i | ||||
\(943\) | −271.421 | − | 271.421i | −0.287827 | − | 0.287827i | ||||
\(944\) | −11.9257 | − | 17.2845i | −0.0126331 | − | 0.0183099i | ||||
\(945\) | −719.178 | + | 133.134i | −0.761035 | + | 0.140883i | ||||
\(946\) | 590.627 | − | 89.8623i | 0.624342 | − | 0.0949919i | ||||
\(947\) | 67.4655 | + | 425.961i | 0.0712413 | + | 0.449800i | 0.997363 | + | 0.0725750i | \(0.0231217\pi\) |
−0.926122 | + | 0.377225i | \(0.876878\pi\) | |||||||
\(948\) | −197.049 | − | 90.9079i | −0.207857 | − | 0.0958944i | ||||
\(949\) | 3212.29i | 3.38492i | ||||||||
\(950\) | −830.933 | + | 319.567i | −0.874667 | + | 0.336386i | ||||
\(951\) | −399.430 | − | 494.457i | −0.420010 | − | 0.519934i | ||||
\(952\) | 94.1534 | − | 272.717i | 0.0989006 | − | 0.286467i | ||||
\(953\) | −286.619 | − | 1809.64i | −0.300754 | − | 1.89889i | −0.422564 | − | 0.906333i | \(-0.638870\pi\) |
0.121810 | − | 0.992553i | \(-0.461130\pi\) | |||||||
\(954\) | −1462.26 | − | 89.0616i | −1.53276 | − | 0.0933560i | ||||
\(955\) | 104.540 | + | 292.089i | 0.109466 | + | 0.305853i | ||||
\(956\) | 696.486 | + | 983.606i | 0.728542 | + | 1.02888i | ||||
\(957\) | 52.7917 | − | 496.590i | 0.0551637 | − | 0.518903i | ||||
\(958\) | 745.465 | − | 534.706i | 0.778147 | − | 0.558148i | ||||
\(959\) | −191.552 | + | 62.2391i | −0.199742 | + | 0.0649000i | ||||
\(960\) | 473.173 | + | 835.289i | 0.492888 | + | 0.870092i | ||||
\(961\) | −113.168 | + | 348.296i | −0.117761 | + | 0.362431i | ||||
\(962\) | 1015.80 | − | 323.227i | 1.05593 | − | 0.335995i | ||||
\(963\) | −664.514 | + | 816.622i | −0.690045 | + | 0.847998i | ||||
\(964\) | 27.0472 | − | 79.9170i | 0.0280572 | − | 0.0829015i | ||||
\(965\) | −78.6638 | + | 83.4542i | −0.0815169 | + | 0.0864811i | ||||
\(966\) | −233.497 | + | 47.8571i | −0.241716 | + | 0.0495415i | ||||
\(967\) | 53.0086 | − | 334.683i | 0.0548176 | − | 0.346104i | −0.945001 | − | 0.327067i | \(-0.893940\pi\) |
0.999819 | − | 0.0190376i | \(-0.00606023\pi\) | |||||||
\(968\) | 31.0372 | − | 1698.52i | 0.0320632 | − | 1.75467i | ||||
\(969\) | 343.345 | + | 92.4373i | 0.354329 | + | 0.0953946i | ||||
\(970\) | −27.6431 | + | 205.631i | −0.0284981 | + | 0.211991i | ||||
\(971\) | −1479.33 | − | 1074.79i | −1.52351 | − | 1.10689i | −0.959714 | − | 0.280980i | \(-0.909340\pi\) |
−0.563796 | − | 0.825914i | \(-0.690660\pi\) | |||||||
\(972\) | −894.989 | + | 379.181i | −0.920771 | + | 0.390104i | ||||
\(973\) | −646.251 | − | 1268.34i | −0.664183 | − | 1.30353i | ||||
\(974\) | 598.316 | + | 605.649i | 0.614287 | + | 0.621816i | ||||
\(975\) | −1645.00 | + | 743.330i | −1.68718 | + | 0.762389i | ||||
\(976\) | −514.367 | − | 12.5332i | −0.527015 | − | 0.0128414i | ||||
\(977\) | −155.223 | − | 304.643i | −0.158878 | − | 0.311815i | 0.797821 | − | 0.602894i | \(-0.205986\pi\) |
−0.956699 | + | 0.291079i | \(0.905986\pi\) | |||||||
\(978\) | 20.4415 | + | 453.154i | 0.0209013 | + | 0.463348i | ||||
\(979\) | −315.063 | − | 228.906i | −0.321821 | − | 0.233816i | ||||
\(980\) | −225.422 | + | 321.872i | −0.230022 | + | 0.328441i | ||||
\(981\) | −137.688 | − | 311.245i | −0.140355 | − | 0.317274i | ||||
\(982\) | −2.03181 | + | 333.607i | −0.00206905 | + | 0.339722i | ||||
\(983\) | −266.794 | + | 1684.47i | −0.271408 | + | 1.71360i | 0.355640 | + | 0.934623i | \(0.384263\pi\) |
−0.627048 | + | 0.778980i | \(0.715737\pi\) | |||||||
\(984\) | 1233.78 | − | 237.252i | 1.25384 | − | 0.241110i | ||||
\(985\) | 744.174 | − | 140.513i | 0.755506 | − | 0.142653i | ||||
\(986\) | −108.485 | + | 54.4462i | −0.110025 | + | 0.0552193i | ||||
\(987\) | −603.785 | + | 127.587i | −0.611738 | + | 0.129268i | ||||
\(988\) | 1517.77 | + | 796.777i | 1.53621 | + | 0.806455i | ||||
\(989\) | −37.0707 | + | 114.092i | −0.0374831 | + | 0.115361i | ||||
\(990\) | 1440.05 | + | 791.443i | 1.45460 | + | 0.799437i | ||||
\(991\) | 453.239 | − | 147.266i | 0.457355 | − | 0.148604i | −0.0712738 | − | 0.997457i | \(-0.522706\pi\) |
0.528629 | + | 0.848853i | \(0.322706\pi\) | |||||||
\(992\) | −963.573 | + | 656.202i | −0.971343 | + | 0.661494i | ||||
\(993\) | −1289.42 | − | 137.076i | −1.29851 | − | 0.138042i | ||||
\(994\) | 1038.18 | + | 170.920i | 1.04445 | + | 0.171952i | ||||
\(995\) | −836.329 | + | 24.7128i | −0.840532 | + | 0.0248370i | ||||
\(996\) | 44.4111 | + | 1138.51i | 0.0445895 | + | 1.14308i | ||||
\(997\) | 152.419 | + | 962.337i | 0.152878 | + | 0.965233i | 0.938187 | + | 0.346129i | \(0.112504\pi\) |
−0.785309 | + | 0.619104i | \(0.787496\pi\) | |||||||
\(998\) | −54.9959 | − | 18.2403i | −0.0551061 | − | 0.0182769i | ||||
\(999\) | 533.705 | − | 269.539i | 0.534239 | − | 0.269809i |
(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 | 300.3.u.a.47.106 | yes | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.47.11 | ✓ | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.47.47 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.47.70 | yes | 928 | |
25.8 | odd | 20 | inner | 300.3.u.a.83.70 | yes | 928 | |
75.8 | even | 20 | inner | 300.3.u.a.83.47 | yes | 928 | |
100.83 | even | 20 | inner | 300.3.u.a.83.11 | yes | 928 | |
300.83 | odd | 20 | inner | 300.3.u.a.83.106 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.47.11 | ✓ | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.47.47 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.47.70 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.47.106 | yes | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.83.11 | yes | 928 | 100.83 | even | 20 | inner | |
300.3.u.a.83.47 | yes | 928 | 75.8 | even | 20 | inner | |
300.3.u.a.83.70 | yes | 928 | 25.8 | odd | 20 | inner | |
300.3.u.a.83.106 | yes | 928 | 300.83 | odd | 20 | inner |