Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(37,210)]
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([0, 3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.37");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.v (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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Character | \(\chi\) | \(=\) | 210.37 |
Dual form | 210.3.v.a.193.3 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36603 | + | 0.366025i | −0.683013 | + | 0.183013i | ||||
\(3\) | −1.67303 | − | 0.448288i | −0.557678 | − | 0.149429i | ||||
\(4\) | 1.73205 | − | 1.00000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −0.438103 | + | 4.98077i | −0.0876206 | + | 0.996154i | ||||
\(6\) | 2.44949 | 0.408248 | ||||||||
\(7\) | 6.08450 | − | 3.46105i | 0.869214 | − | 0.494436i | ||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | 2.59808 | + | 1.50000i | 0.288675 | + | 0.166667i | ||||
\(10\) | −1.22463 | − | 6.96421i | −0.122463 | − | 0.696421i | ||||
\(11\) | −5.62423 | − | 9.74146i | −0.511294 | − | 0.885587i | −0.999914 | − | 0.0130905i | \(-0.995833\pi\) |
0.488620 | − | 0.872496i | \(-0.337500\pi\) | |||||||
\(12\) | −3.34607 | + | 0.896575i | −0.278839 | + | 0.0747146i | ||||
\(13\) | −5.84142 | + | 5.84142i | −0.449340 | + | 0.449340i | −0.895135 | − | 0.445795i | \(-0.852921\pi\) |
0.445795 | + | 0.895135i | \(0.352921\pi\) | |||||||
\(14\) | −7.04475 | + | 6.95496i | −0.503196 | + | 0.496783i | ||||
\(15\) | 2.96578 | − | 8.13659i | 0.197719 | − | 0.542440i | ||||
\(16\) | 2.00000 | − | 3.46410i | 0.125000 | − | 0.216506i | ||||
\(17\) | −6.65160 | + | 24.8241i | −0.391270 | + | 1.46024i | 0.436770 | + | 0.899573i | \(0.356122\pi\) |
−0.828041 | + | 0.560668i | \(0.810544\pi\) | |||||||
\(18\) | −4.09808 | − | 1.09808i | −0.227671 | − | 0.0610042i | ||||
\(19\) | 27.5095 | + | 15.8826i | 1.44787 | + | 0.835926i | 0.998354 | − | 0.0573477i | \(-0.0182643\pi\) |
0.449513 | + | 0.893274i | \(0.351598\pi\) | |||||||
\(20\) | 4.22195 | + | 9.06505i | 0.211098 | + | 0.453252i | ||||
\(21\) | −11.7311 | + | 3.06284i | −0.558624 | + | 0.145850i | ||||
\(22\) | 11.2485 | + | 11.2485i | 0.511294 | + | 0.511294i | ||||
\(23\) | 10.6696 | + | 39.8193i | 0.463894 | + | 1.73127i | 0.660532 | + | 0.750798i | \(0.270331\pi\) |
−0.196638 | + | 0.980476i | \(0.563002\pi\) | |||||||
\(24\) | 4.24264 | − | 2.44949i | 0.176777 | − | 0.102062i | ||||
\(25\) | −24.6161 | − | 4.36418i | −0.984645 | − | 0.174567i | ||||
\(26\) | 5.84142 | − | 10.1176i | 0.224670 | − | 0.389140i | ||||
\(27\) | −3.67423 | − | 3.67423i | −0.136083 | − | 0.136083i | ||||
\(28\) | 7.07761 | − | 12.0792i | 0.252772 | − | 0.431400i | ||||
\(29\) | 8.29704i | 0.286105i | 0.989715 | + | 0.143052i | \(0.0456917\pi\) | ||||
−0.989715 | + | 0.143052i | \(0.954308\pi\) | |||||||
\(30\) | −1.07313 | + | 12.2003i | −0.0357710 | + | 0.406678i | ||||
\(31\) | 6.00177 | + | 10.3954i | 0.193605 | + | 0.335334i | 0.946442 | − | 0.322873i | \(-0.104649\pi\) |
−0.752837 | + | 0.658207i | \(0.771315\pi\) | |||||||
\(32\) | −1.46410 | + | 5.46410i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 5.04255 | + | 18.8190i | 0.152805 | + | 0.570274i | ||||
\(34\) | − | 36.3450i | − | 1.06897i | ||||||
\(35\) | 14.5731 | + | 31.8218i | 0.416373 | + | 0.909194i | ||||
\(36\) | 6.00000 | 0.166667 | ||||||||
\(37\) | −23.6141 | + | 6.32737i | −0.638218 | + | 0.171010i | −0.563396 | − | 0.826187i | \(-0.690505\pi\) |
−0.0748217 | + | 0.997197i | \(0.523839\pi\) | |||||||
\(38\) | −43.3921 | − | 11.6269i | −1.14190 | − | 0.305970i | ||||
\(39\) | 12.3915 | − | 7.15424i | 0.317731 | − | 0.183442i | ||||
\(40\) | −9.08533 | − | 10.8377i | −0.227133 | − | 0.270944i | ||||
\(41\) | 42.9567 | 1.04772 | 0.523862 | − | 0.851803i | \(-0.324491\pi\) | ||||
0.523862 | + | 0.851803i | \(0.324491\pi\) | |||||||
\(42\) | 14.9039 | − | 8.47781i | 0.354855 | − | 0.201853i | ||||
\(43\) | −37.4962 | + | 37.4962i | −0.872005 | + | 0.872005i | −0.992691 | − | 0.120685i | \(-0.961491\pi\) |
0.120685 | + | 0.992691i | \(0.461491\pi\) | |||||||
\(44\) | −19.4829 | − | 11.2485i | −0.442793 | − | 0.255647i | ||||
\(45\) | −8.60938 | + | 12.2833i | −0.191320 | + | 0.272961i | ||||
\(46\) | −29.1498 | − | 50.4889i | −0.633690 | − | 1.09758i | ||||
\(47\) | −35.8369 | + | 9.60246i | −0.762487 | + | 0.204308i | −0.619050 | − | 0.785352i | \(-0.712482\pi\) |
−0.143437 | + | 0.989659i | \(0.545815\pi\) | |||||||
\(48\) | −4.89898 | + | 4.89898i | −0.102062 | + | 0.102062i | ||||
\(49\) | 25.0423 | − | 42.1175i | 0.511067 | − | 0.859541i | ||||
\(50\) | 35.2237 | − | 3.04855i | 0.704473 | − | 0.0609710i | ||||
\(51\) | 22.2567 | − | 38.5497i | 0.436405 | − | 0.755876i | ||||
\(52\) | −4.27621 | + | 15.9590i | −0.0822349 | + | 0.306905i | ||||
\(53\) | 11.0590 | + | 2.96326i | 0.208661 | + | 0.0559106i | 0.361635 | − | 0.932320i | \(-0.382219\pi\) |
−0.152974 | + | 0.988230i | \(0.548885\pi\) | |||||||
\(54\) | 6.36396 | + | 3.67423i | 0.117851 | + | 0.0680414i | ||||
\(55\) | 50.9839 | − | 23.7452i | 0.926981 | − | 0.431732i | ||||
\(56\) | −5.24690 | + | 19.0911i | −0.0936946 | + | 0.340912i | ||||
\(57\) | −38.9043 | − | 38.9043i | −0.682531 | − | 0.682531i | ||||
\(58\) | −3.03693 | − | 11.3340i | −0.0523608 | − | 0.195413i | ||||
\(59\) | −52.5762 | + | 30.3549i | −0.891121 | + | 0.514489i | −0.874309 | − | 0.485370i | \(-0.838685\pi\) |
−0.0168122 | + | 0.999859i | \(0.505352\pi\) | |||||||
\(60\) | −2.99971 | − | 17.0588i | −0.0499952 | − | 0.284313i | ||||
\(61\) | 18.8287 | − | 32.6122i | 0.308667 | − | 0.534627i | −0.669404 | − | 0.742898i | \(-0.733451\pi\) |
0.978071 | + | 0.208272i | \(0.0667839\pi\) | |||||||
\(62\) | −12.0035 | − | 12.0035i | −0.193605 | − | 0.193605i | ||||
\(63\) | 20.9996 | + | 0.134677i | 0.333326 | + | 0.00213774i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | −26.5356 | − | 31.6539i | −0.408240 | − | 0.486983i | ||||
\(66\) | −13.7765 | − | 23.8616i | −0.208735 | − | 0.361539i | ||||
\(67\) | 21.1191 | − | 78.8176i | 0.315211 | − | 1.17638i | −0.608583 | − | 0.793491i | \(-0.708262\pi\) |
0.923793 | − | 0.382892i | \(-0.125072\pi\) | |||||||
\(68\) | 13.3032 | + | 49.6482i | 0.195635 | + | 0.730120i | ||||
\(69\) | − | 71.4020i | − | 1.03481i | ||||||
\(70\) | −31.5547 | − | 38.1353i | −0.450782 | − | 0.544789i | ||||
\(71\) | 1.19909 | 0.0168886 | 0.00844432 | − | 0.999964i | \(-0.497312\pi\) | ||||
0.00844432 | + | 0.999964i | \(0.497312\pi\) | |||||||
\(72\) | −8.19615 | + | 2.19615i | −0.113835 | + | 0.0305021i | ||||
\(73\) | 69.0889 | + | 18.5123i | 0.946423 | + | 0.253593i | 0.698844 | − | 0.715274i | \(-0.253698\pi\) |
0.247579 | + | 0.968868i | \(0.420365\pi\) | |||||||
\(74\) | 29.9414 | − | 17.2867i | 0.404614 | − | 0.233604i | ||||
\(75\) | 39.2272 | + | 18.3365i | 0.523029 | + | 0.244487i | ||||
\(76\) | 63.5304 | 0.835926 | ||||||||
\(77\) | −67.9363 | − | 39.8061i | −0.882290 | − | 0.516963i | ||||
\(78\) | −14.3085 | + | 14.3085i | −0.183442 | + | 0.183442i | ||||
\(79\) | 71.0156 | + | 41.0009i | 0.898932 | + | 0.518999i | 0.876854 | − | 0.480757i | \(-0.159638\pi\) |
0.0220786 | + | 0.999756i | \(0.492972\pi\) | |||||||
\(80\) | 16.3777 | + | 11.4792i | 0.204721 | + | 0.143490i | ||||
\(81\) | 4.50000 | + | 7.79423i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −58.6799 | + | 15.7232i | −0.715609 | + | 0.191747i | ||||
\(83\) | 103.192 | − | 103.192i | 1.24328 | − | 1.24328i | 0.284651 | − | 0.958631i | \(-0.408122\pi\) |
0.958631 | − | 0.284651i | \(-0.0918777\pi\) | |||||||
\(84\) | −17.2560 | + | 17.0361i | −0.205429 | + | 0.202811i | ||||
\(85\) | −120.729 | − | 44.0056i | −1.42034 | − | 0.517713i | ||||
\(86\) | 37.4962 | − | 64.9454i | 0.436003 | − | 0.755179i | ||||
\(87\) | 3.71946 | − | 13.8812i | 0.0427524 | − | 0.159554i | ||||
\(88\) | 30.7314 | + | 8.23445i | 0.349220 | + | 0.0935733i | ||||
\(89\) | 12.6471 | + | 7.30178i | 0.142102 | + | 0.0820425i | 0.569365 | − | 0.822085i | \(-0.307189\pi\) |
−0.427264 | + | 0.904127i | \(0.640522\pi\) | |||||||
\(90\) | 7.26464 | − | 19.9305i | 0.0807183 | − | 0.221450i | ||||
\(91\) | −15.3247 | + | 55.7595i | −0.168403 | + | 0.612742i | ||||
\(92\) | 58.2995 | + | 58.2995i | 0.633690 | + | 0.633690i | ||||
\(93\) | −5.38104 | − | 20.0823i | −0.0578606 | − | 0.215939i | ||||
\(94\) | 45.4393 | − | 26.2344i | 0.483397 | − | 0.279090i | ||||
\(95\) | −91.1596 | + | 130.060i | −0.959574 | + | 1.36905i | ||||
\(96\) | 4.89898 | − | 8.48528i | 0.0510310 | − | 0.0883883i | ||||
\(97\) | 24.6424 | + | 24.6424i | 0.254045 | + | 0.254045i | 0.822627 | − | 0.568582i | \(-0.192508\pi\) |
−0.568582 | + | 0.822627i | \(0.692508\pi\) | |||||||
\(98\) | −18.7923 | + | 66.6997i | −0.191758 | + | 0.680609i | ||||
\(99\) | − | 33.7454i | − | 0.340863i | ||||||
\(100\) | −47.0006 | + | 17.0572i | −0.470006 | + | 0.170572i | ||||
\(101\) | −80.5667 | − | 139.546i | −0.797690 | − | 1.38164i | −0.921117 | − | 0.389286i | \(-0.872722\pi\) |
0.123427 | − | 0.992354i | \(-0.460612\pi\) | |||||||
\(102\) | −16.2930 | + | 60.8064i | −0.159735 | + | 0.596141i | ||||
\(103\) | 17.5834 | + | 65.6221i | 0.170712 | + | 0.637108i | 0.997242 | + | 0.0742147i | \(0.0236450\pi\) |
−0.826530 | + | 0.562893i | \(0.809688\pi\) | |||||||
\(104\) | − | 23.3657i | − | 0.224670i | ||||||
\(105\) | −10.1159 | − | 59.7718i | −0.0963417 | − | 0.569255i | ||||
\(106\) | −16.1916 | −0.152751 | ||||||||
\(107\) | 28.3972 | − | 7.60901i | 0.265394 | − | 0.0711122i | −0.123668 | − | 0.992324i | \(-0.539466\pi\) |
0.389062 | + | 0.921211i | \(0.372799\pi\) | |||||||
\(108\) | −10.0382 | − | 2.68973i | −0.0929463 | − | 0.0249049i | ||||
\(109\) | −147.093 | + | 84.9242i | −1.34948 | + | 0.779121i | −0.988175 | − | 0.153327i | \(-0.951001\pi\) |
−0.361302 | + | 0.932449i | \(0.617668\pi\) | |||||||
\(110\) | −60.9540 | + | 51.0980i | −0.554127 | + | 0.464528i | ||||
\(111\) | 42.3436 | 0.381473 | ||||||||
\(112\) | 0.179570 | − | 27.9994i | 0.00160330 | − | 0.249995i | ||||
\(113\) | −79.5633 | + | 79.5633i | −0.704100 | + | 0.704100i | −0.965288 | − | 0.261188i | \(-0.915886\pi\) |
0.261188 | + | 0.965288i | \(0.415886\pi\) | |||||||
\(114\) | 67.3842 | + | 38.9043i | 0.591089 | + | 0.341265i | ||||
\(115\) | −203.005 | + | 35.6976i | −1.76526 | + | 0.310414i | ||||
\(116\) | 8.29704 | + | 14.3709i | 0.0715262 | + | 0.123887i | ||||
\(117\) | −23.9386 | + | 6.41432i | −0.204603 | + | 0.0548232i | ||||
\(118\) | 60.7097 | − | 60.7097i | 0.514489 | − | 0.514489i | ||||
\(119\) | 45.4458 | + | 174.064i | 0.381897 | + | 1.46272i | ||||
\(120\) | 10.3416 | + | 22.2047i | 0.0861803 | + | 0.185040i | ||||
\(121\) | −2.76398 | + | 4.78736i | −0.0228428 | + | 0.0395649i | ||||
\(122\) | −13.7835 | + | 51.4409i | −0.112980 | + | 0.421647i | ||||
\(123\) | −71.8679 | − | 19.2569i | −0.584292 | − | 0.156561i | ||||
\(124\) | 20.7907 | + | 12.0035i | 0.167667 | + | 0.0968027i | ||||
\(125\) | 32.5214 | − | 120.695i | 0.260171 | − | 0.965563i | ||||
\(126\) | −28.7352 | + | 7.50240i | −0.228057 | + | 0.0595429i | ||||
\(127\) | 76.9204 | + | 76.9204i | 0.605673 | + | 0.605673i | 0.941812 | − | 0.336140i | \(-0.109121\pi\) |
−0.336140 | + | 0.941812i | \(0.609121\pi\) | |||||||
\(128\) | 2.92820 | + | 10.9282i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 79.5415 | − | 45.9233i | 0.616601 | − | 0.355995i | ||||
\(130\) | 47.8344 | + | 33.5273i | 0.367957 | + | 0.257902i | ||||
\(131\) | 89.9974 | − | 155.880i | 0.687003 | − | 1.18992i | −0.285800 | − | 0.958289i | \(-0.592259\pi\) |
0.972803 | − | 0.231635i | \(-0.0744074\pi\) | |||||||
\(132\) | 27.5530 | + | 27.5530i | 0.208735 | + | 0.208735i | ||||
\(133\) | 222.352 | + | 1.42602i | 1.67182 | + | 0.0107219i | ||||
\(134\) | 115.397i | 0.861172i | ||||||||
\(135\) | 19.9102 | − | 16.6908i | 0.147483 | − | 0.123636i | ||||
\(136\) | −36.3450 | − | 62.9514i | −0.267243 | − | 0.462878i | ||||
\(137\) | 60.7150 | − | 226.592i | 0.443175 | − | 1.65395i | −0.277534 | − | 0.960716i | \(-0.589517\pi\) |
0.720709 | − | 0.693237i | \(-0.243816\pi\) | |||||||
\(138\) | 26.1350 | + | 97.5370i | 0.189384 | + | 0.706790i | ||||
\(139\) | 224.218i | 1.61308i | 0.591182 | + | 0.806538i | \(0.298661\pi\) | ||||
−0.591182 | + | 0.806538i | \(0.701339\pi\) | |||||||
\(140\) | 57.0631 | + | 40.5439i | 0.407593 | + | 0.289599i | ||||
\(141\) | 64.2609 | 0.455751 | ||||||||
\(142\) | −1.63799 | + | 0.438899i | −0.0115352 | + | 0.00309083i | ||||
\(143\) | 89.7574 | + | 24.0504i | 0.627674 | + | 0.168185i | ||||
\(144\) | 10.3923 | − | 6.00000i | 0.0721688 | − | 0.0416667i | ||||
\(145\) | −41.3256 | − | 3.63496i | −0.285004 | − | 0.0250687i | ||||
\(146\) | −101.153 | −0.692830 | ||||||||
\(147\) | −60.7773 | + | 59.2378i | −0.413451 | + | 0.402978i | ||||
\(148\) | −34.5734 | + | 34.5734i | −0.233604 | + | 0.233604i | ||||
\(149\) | −99.1675 | − | 57.2544i | −0.665554 | − | 0.384258i | 0.128836 | − | 0.991666i | \(-0.458876\pi\) |
−0.794390 | + | 0.607408i | \(0.792209\pi\) | |||||||
\(150\) | −60.2970 | − | 10.6900i | −0.401980 | − | 0.0712668i | ||||
\(151\) | −48.4855 | − | 83.9793i | −0.321096 | − | 0.556154i | 0.659619 | − | 0.751601i | \(-0.270718\pi\) |
−0.980714 | + | 0.195446i | \(0.937385\pi\) | |||||||
\(152\) | −86.7841 | + | 23.2537i | −0.570948 | + | 0.152985i | ||||
\(153\) | −54.5175 | + | 54.5175i | −0.356324 | + | 0.356324i | ||||
\(154\) | 107.373 | + | 29.5098i | 0.697226 | + | 0.191622i | ||||
\(155\) | −54.4063 | + | 25.3392i | −0.351008 | + | 0.163479i | ||||
\(156\) | 14.3085 | − | 24.7830i | 0.0917211 | − | 0.158866i | ||||
\(157\) | −33.3622 | + | 124.509i | −0.212498 | + | 0.793052i | 0.774535 | + | 0.632531i | \(0.217984\pi\) |
−0.987032 | + | 0.160521i | \(0.948683\pi\) | |||||||
\(158\) | −112.017 | − | 30.0147i | −0.708965 | − | 0.189967i | ||||
\(159\) | −17.1737 | − | 9.91526i | −0.108011 | − | 0.0623602i | ||||
\(160\) | −26.5740 | − | 9.68619i | −0.166088 | − | 0.0605387i | ||||
\(161\) | 202.735 | + | 205.353i | 1.25923 | + | 1.27548i | ||||
\(162\) | −9.00000 | − | 9.00000i | −0.0555556 | − | 0.0555556i | ||||
\(163\) | −66.5982 | − | 248.548i | −0.408578 | − | 1.52483i | −0.797360 | − | 0.603503i | \(-0.793771\pi\) |
0.388783 | − | 0.921329i | \(-0.372896\pi\) | |||||||
\(164\) | 74.4031 | − | 42.9567i | 0.453678 | − | 0.261931i | ||||
\(165\) | −95.9425 | + | 16.8711i | −0.581470 | + | 0.102249i | ||||
\(166\) | −103.192 | + | 178.735i | −0.621641 | + | 1.07671i | ||||
\(167\) | −20.8857 | − | 20.8857i | −0.125064 | − | 0.125064i | 0.641804 | − | 0.766868i | \(-0.278186\pi\) |
−0.766868 | + | 0.641804i | \(0.778186\pi\) | |||||||
\(168\) | 17.3365 | − | 29.5879i | 0.103194 | − | 0.176119i | ||||
\(169\) | 100.756i | 0.596188i | ||||||||
\(170\) | 181.026 | + | 15.9229i | 1.06486 | + | 0.0936638i | ||||
\(171\) | 47.6478 | + | 82.5284i | 0.278642 | + | 0.482622i | ||||
\(172\) | −27.4491 | + | 102.442i | −0.159588 | + | 0.595591i | ||||
\(173\) | 55.8433 | + | 208.410i | 0.322794 | + | 1.20468i | 0.916511 | + | 0.400009i | \(0.130993\pi\) |
−0.593718 | + | 0.804673i | \(0.702340\pi\) | |||||||
\(174\) | 20.3235i | 0.116802i | ||||||||
\(175\) | −164.881 | + | 58.6438i | −0.942180 | + | 0.335107i | ||||
\(176\) | −44.9939 | −0.255647 | ||||||||
\(177\) | 101.569 | − | 27.2154i | 0.573838 | − | 0.153759i | ||||
\(178\) | −19.9488 | − | 5.34528i | −0.112072 | − | 0.0300296i | ||||
\(179\) | 132.468 | − | 76.4803i | 0.740044 | − | 0.427264i | −0.0820415 | − | 0.996629i | \(-0.526144\pi\) |
0.822085 | + | 0.569364i | \(0.192811\pi\) | |||||||
\(180\) | −2.62862 | + | 29.8846i | −0.0146034 | + | 0.166026i | ||||
\(181\) | −61.7819 | −0.341336 | −0.170668 | − | 0.985329i | \(-0.554593\pi\) | ||||
−0.170668 | + | 0.985329i | \(0.554593\pi\) | |||||||
\(182\) | 0.524471 | − | 81.7781i | 0.00288171 | − | 0.449330i | ||||
\(183\) | −46.1206 | + | 46.1206i | −0.252025 | + | 0.252025i | ||||
\(184\) | −100.978 | − | 58.2995i | −0.548792 | − | 0.316845i | ||||
\(185\) | −21.1698 | − | 120.388i | −0.114431 | − | 0.650747i | ||||
\(186\) | 14.7013 | + | 25.4633i | 0.0790390 | + | 0.136900i | ||||
\(187\) | 279.233 | − | 74.8202i | 1.49322 | − | 0.400108i | ||||
\(188\) | −52.4688 | + | 52.4688i | −0.279090 | + | 0.279090i | ||||
\(189\) | −35.0726 | − | 9.63917i | −0.185569 | − | 0.0510009i | ||||
\(190\) | 76.9210 | − | 211.032i | 0.404847 | − | 1.11070i | ||||
\(191\) | 11.1433 | − | 19.3007i | 0.0583417 | − | 0.101051i | −0.835379 | − | 0.549674i | \(-0.814752\pi\) |
0.893721 | + | 0.448623i | \(0.148085\pi\) | |||||||
\(192\) | −3.58630 | + | 13.3843i | −0.0186787 | + | 0.0697097i | ||||
\(193\) | −227.270 | − | 60.8969i | −1.17757 | − | 0.315528i | −0.383606 | − | 0.923497i | \(-0.625318\pi\) |
−0.793961 | + | 0.607969i | \(0.791984\pi\) | |||||||
\(194\) | −42.6818 | − | 24.6424i | −0.220009 | − | 0.127023i | ||||
\(195\) | 30.2049 | + | 64.8536i | 0.154897 | + | 0.332582i | ||||
\(196\) | 1.25696 | − | 97.9919i | 0.00641308 | − | 0.499959i | ||||
\(197\) | −144.812 | − | 144.812i | −0.735086 | − | 0.735086i | 0.236537 | − | 0.971623i | \(-0.423988\pi\) |
−0.971623 | + | 0.236537i | \(0.923988\pi\) | |||||||
\(198\) | 12.3517 | + | 46.0971i | 0.0623822 | + | 0.232813i | ||||
\(199\) | 166.521 | − | 96.1408i | 0.836787 | − | 0.483119i | −0.0193836 | − | 0.999812i | \(-0.506170\pi\) |
0.856171 | + | 0.516693i | \(0.172837\pi\) | |||||||
\(200\) | 57.9606 | − | 40.5039i | 0.289803 | − | 0.202520i | ||||
\(201\) | −70.6659 | + | 122.397i | −0.351572 | + | 0.608940i | ||||
\(202\) | 161.133 | + | 161.133i | 0.797690 | + | 0.797690i | ||||
\(203\) | 28.7165 | + | 50.4833i | 0.141460 | + | 0.248686i | ||||
\(204\) | − | 89.0267i | − | 0.436405i | ||||||
\(205\) | −18.8194 | + | 213.957i | −0.0918022 | + | 1.04369i | ||||
\(206\) | −48.0387 | − | 83.2055i | −0.233198 | − | 0.403910i | ||||
\(207\) | −32.0087 | + | 119.458i | −0.154631 | + | 0.577091i | ||||
\(208\) | 8.55243 | + | 31.9181i | 0.0411174 | + | 0.153452i | ||||
\(209\) | − | 357.310i | − | 1.70962i | ||||||
\(210\) | 35.6965 | + | 77.9471i | 0.169984 | + | 0.371177i | ||||
\(211\) | −1.49392 | −0.00708017 | −0.00354009 | − | 0.999994i | \(-0.501127\pi\) | ||||
−0.00354009 | + | 0.999994i | \(0.501127\pi\) | |||||||
\(212\) | 22.1181 | − | 5.92652i | 0.104331 | − | 0.0279553i | ||||
\(213\) | −2.00612 | − | 0.537539i | −0.00941841 | − | 0.00252366i | ||||
\(214\) | −36.0062 | + | 20.7882i | −0.168253 | + | 0.0971411i | ||||
\(215\) | −170.333 | − | 203.187i | −0.792246 | − | 0.945057i | ||||
\(216\) | 14.6969 | 0.0680414 | ||||||||
\(217\) | 72.4966 | + | 42.4782i | 0.334086 | + | 0.195752i | ||||
\(218\) | 169.848 | − | 169.848i | 0.779121 | − | 0.779121i | ||||
\(219\) | −107.289 | − | 61.9434i | −0.489905 | − | 0.282847i | ||||
\(220\) | 64.5615 | − | 92.1119i | 0.293462 | − | 0.418691i | ||||
\(221\) | −106.153 | − | 183.863i | −0.480331 | − | 0.831957i | ||||
\(222\) | −57.8424 | + | 15.4988i | −0.260551 | + | 0.0698145i | ||||
\(223\) | 186.552 | − | 186.552i | 0.836555 | − | 0.836555i | −0.151849 | − | 0.988404i | \(-0.548523\pi\) |
0.988404 | + | 0.151849i | \(0.0485227\pi\) | |||||||
\(224\) | 10.0032 | + | 38.3137i | 0.0446572 | + | 0.171043i | ||||
\(225\) | −57.4083 | − | 48.2627i | −0.255148 | − | 0.214501i | ||||
\(226\) | 79.5633 | − | 137.808i | 0.352050 | − | 0.609769i | ||||
\(227\) | 11.9875 | − | 44.7381i | 0.0528085 | − | 0.197084i | −0.934482 | − | 0.356011i | \(-0.884137\pi\) |
0.987290 | + | 0.158927i | \(0.0508033\pi\) | |||||||
\(228\) | −106.288 | − | 28.4799i | −0.466177 | − | 0.124912i | ||||
\(229\) | 146.091 | + | 84.3456i | 0.637951 | + | 0.368321i | 0.783825 | − | 0.620982i | \(-0.213266\pi\) |
−0.145874 | + | 0.989303i | \(0.546599\pi\) | |||||||
\(230\) | 264.244 | − | 123.069i | 1.14889 | − | 0.535082i | ||||
\(231\) | 95.8151 | + | 97.0520i | 0.414784 | + | 0.420138i | ||||
\(232\) | −16.5941 | − | 16.5941i | −0.0715262 | − | 0.0715262i | ||||
\(233\) | −57.4964 | − | 214.579i | −0.246766 | − | 0.920942i | −0.972488 | − | 0.232954i | \(-0.925161\pi\) |
0.725722 | − | 0.687988i | \(-0.241506\pi\) | |||||||
\(234\) | 30.3529 | − | 17.5242i | 0.129713 | − | 0.0748899i | ||||
\(235\) | −32.1274 | − | 182.702i | −0.136712 | − | 0.777456i | ||||
\(236\) | −60.7097 | + | 105.152i | −0.257245 | + | 0.445561i | ||||
\(237\) | −100.431 | − | 100.431i | −0.423761 | − | 0.423761i | ||||
\(238\) | −125.792 | − | 221.141i | −0.528537 | − | 0.929164i | ||||
\(239\) | 42.6023i | 0.178252i | 0.996020 | + | 0.0891262i | \(0.0284074\pi\) | ||||
−0.996020 | + | 0.0891262i | \(0.971593\pi\) | |||||||
\(240\) | −22.2544 | − | 26.5469i | −0.0927268 | − | 0.110612i | ||||
\(241\) | 110.433 | + | 191.275i | 0.458227 | + | 0.793672i | 0.998867 | − | 0.0475819i | \(-0.0151515\pi\) |
−0.540641 | + | 0.841254i | \(0.681818\pi\) | |||||||
\(242\) | 2.02337 | − | 7.55134i | 0.00836105 | − | 0.0312039i | ||||
\(243\) | −4.03459 | − | 15.0573i | −0.0166032 | − | 0.0619642i | ||||
\(244\) | − | 75.3147i | − | 0.308667i | ||||||
\(245\) | 198.807 | + | 143.182i | 0.811455 | + | 0.584415i | ||||
\(246\) | 105.222 | 0.427731 | ||||||||
\(247\) | −253.471 | + | 67.9174i | −1.02620 | + | 0.274969i | ||||
\(248\) | −32.7943 | − | 8.78719i | −0.132235 | − | 0.0354322i | ||||
\(249\) | −218.904 | + | 126.384i | −0.879133 | + | 0.507568i | ||||
\(250\) | −0.247472 | + | 176.777i | −0.000989887 | + | 0.707106i | ||||
\(251\) | −165.088 | −0.657720 | −0.328860 | − | 0.944379i | \(-0.606664\pi\) | ||||
−0.328860 | + | 0.944379i | \(0.606664\pi\) | |||||||
\(252\) | 36.5070 | − | 20.7663i | 0.144869 | − | 0.0824060i | ||||
\(253\) | 327.890 | − | 327.890i | 1.29601 | − | 1.29601i | ||||
\(254\) | −133.230 | − | 76.9204i | −0.524528 | − | 0.302836i | ||||
\(255\) | 182.256 | + | 127.744i | 0.714731 | + | 0.500957i | ||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −123.114 | + | 32.9883i | −0.479042 | + | 0.128359i | −0.490257 | − | 0.871578i | \(-0.663097\pi\) |
0.0112144 | + | 0.999937i | \(0.496430\pi\) | |||||||
\(258\) | −91.8466 | + | 91.8466i | −0.355995 | + | 0.355995i | ||||
\(259\) | −121.780 | + | 120.228i | −0.470194 | + | 0.464202i | ||||
\(260\) | −77.6149 | − | 28.2905i | −0.298519 | − | 0.108810i | ||||
\(261\) | −12.4456 | + | 21.5563i | −0.0476841 | + | 0.0825913i | ||||
\(262\) | −65.8827 | + | 245.877i | −0.251461 | + | 0.938463i | ||||
\(263\) | 421.747 | + | 113.007i | 1.60360 | + | 0.429683i | 0.946127 | − | 0.323796i | \(-0.104959\pi\) |
0.657472 | + | 0.753479i | \(0.271626\pi\) | |||||||
\(264\) | −47.7232 | − | 27.5530i | −0.180770 | − | 0.104367i | ||||
\(265\) | −19.6043 | + | 53.7843i | −0.0739786 | + | 0.202960i | ||||
\(266\) | −304.260 | + | 79.4384i | −1.14384 | + | 0.298641i | ||||
\(267\) | −17.8856 | − | 17.8856i | −0.0669874 | − | 0.0669874i | ||||
\(268\) | −42.2382 | − | 157.635i | −0.157605 | − | 0.588191i | ||||
\(269\) | 8.01022 | − | 4.62470i | 0.0297778 | − | 0.0171922i | −0.485037 | − | 0.874494i | \(-0.661194\pi\) |
0.514815 | + | 0.857301i | \(0.327861\pi\) | |||||||
\(270\) | −21.0886 | + | 30.0877i | −0.0781059 | + | 0.111436i | ||||
\(271\) | 48.2949 | − | 83.6492i | 0.178210 | − | 0.308669i | −0.763058 | − | 0.646331i | \(-0.776303\pi\) |
0.941267 | + | 0.337662i | \(0.109636\pi\) | |||||||
\(272\) | 72.6900 | + | 72.6900i | 0.267243 | + | 0.267243i | ||||
\(273\) | 50.6350 | − | 86.4176i | 0.185476 | − | 0.316548i | ||||
\(274\) | 331.753i | 1.21078i | ||||||||
\(275\) | 95.9334 | + | 264.342i | 0.348849 | + | 0.961244i | ||||
\(276\) | −71.4020 | − | 123.672i | −0.258703 | − | 0.448087i | ||||
\(277\) | 39.2810 | − | 146.599i | 0.141809 | − | 0.529237i | −0.858068 | − | 0.513536i | \(-0.828335\pi\) |
0.999877 | − | 0.0157013i | \(-0.00499807\pi\) | |||||||
\(278\) | −82.0693 | − | 306.287i | −0.295213 | − | 1.10175i | ||||
\(279\) | 36.0106i | 0.129070i | ||||||||
\(280\) | −92.7897 | − | 34.4975i | −0.331392 | − | 0.123205i | ||||
\(281\) | −52.8654 | −0.188133 | −0.0940665 | − | 0.995566i | \(-0.529987\pi\) | ||||
−0.0940665 | + | 0.995566i | \(0.529987\pi\) | |||||||
\(282\) | −87.7821 | + | 23.5211i | −0.311284 | + | 0.0834083i | ||||
\(283\) | −159.230 | − | 42.6656i | −0.562651 | − | 0.150762i | −0.0337273 | − | 0.999431i | \(-0.510738\pi\) |
−0.528924 | + | 0.848669i | \(0.677404\pi\) | |||||||
\(284\) | 2.07689 | − | 1.19909i | 0.00731299 | − | 0.00422216i | ||||
\(285\) | 210.817 | − | 176.729i | 0.739710 | − | 0.620102i | ||||
\(286\) | −131.414 | −0.459489 | ||||||||
\(287\) | 261.370 | − | 148.675i | 0.910696 | − | 0.518032i | ||||
\(288\) | −12.0000 | + | 12.0000i | −0.0416667 | + | 0.0416667i | ||||
\(289\) | −321.711 | − | 185.740i | −1.11319 | − | 0.642698i | ||||
\(290\) | 57.7824 | − | 10.1608i | 0.199250 | − | 0.0350372i | ||||
\(291\) | −30.1806 | − | 52.2744i | −0.103713 | − | 0.179637i | ||||
\(292\) | 138.178 | − | 37.0246i | 0.473212 | − | 0.126797i | ||||
\(293\) | −251.280 | + | 251.280i | −0.857612 | + | 0.857612i | −0.991056 | − | 0.133445i | \(-0.957396\pi\) |
0.133445 | + | 0.991056i | \(0.457396\pi\) | |||||||
\(294\) | 61.3408 | − | 103.166i | 0.208642 | − | 0.350906i | ||||
\(295\) | −128.157 | − | 275.168i | −0.434430 | − | 0.932774i | ||||
\(296\) | 34.5734 | − | 59.8828i | 0.116802 | − | 0.202307i | ||||
\(297\) | −15.1276 | + | 56.4571i | −0.0509348 | + | 0.190091i | ||||
\(298\) | 156.422 | + | 41.9131i | 0.524906 | + | 0.140648i | ||||
\(299\) | −294.926 | − | 170.276i | −0.986376 | − | 0.569484i | ||||
\(300\) | 86.2800 | − | 7.46739i | 0.287600 | − | 0.0248913i | ||||
\(301\) | −98.3695 | + | 357.922i | −0.326809 | + | 1.18911i | ||||
\(302\) | 96.9710 | + | 96.9710i | 0.321096 | + | 0.321096i | ||||
\(303\) | 72.2341 | + | 269.581i | 0.238396 | + | 0.889708i | ||||
\(304\) | 110.038 | − | 63.5304i | 0.361967 | − | 0.208982i | ||||
\(305\) | 154.185 | + | 108.069i | 0.505525 | + | 0.354324i | ||||
\(306\) | 54.5175 | − | 94.4271i | 0.178162 | − | 0.308585i | ||||
\(307\) | 279.604 | + | 279.604i | 0.910762 | + | 0.910762i | 0.996332 | − | 0.0855701i | \(-0.0272712\pi\) |
−0.0855701 | + | 0.996332i | \(0.527271\pi\) | |||||||
\(308\) | −157.475 | − | 1.00994i | −0.511283 | − | 0.00327903i | ||||
\(309\) | − | 117.670i | − | 0.380810i | ||||||
\(310\) | 65.0456 | − | 54.5280i | 0.209825 | − | 0.175897i | ||||
\(311\) | 215.478 | + | 373.218i | 0.692854 | + | 1.20006i | 0.970899 | + | 0.239490i | \(0.0769803\pi\) |
−0.278045 | + | 0.960568i | \(0.589686\pi\) | |||||||
\(312\) | −10.4745 | + | 39.0915i | −0.0335722 | + | 0.125293i | ||||
\(313\) | 43.5371 | + | 162.483i | 0.139096 | + | 0.519114i | 0.999947 | + | 0.0102571i | \(0.00326500\pi\) |
−0.860851 | + | 0.508857i | \(0.830068\pi\) | |||||||
\(314\) | − | 182.294i | − | 0.580555i | ||||||
\(315\) | −9.87077 | + | 104.535i | −0.0313358 | + | 0.331857i | ||||
\(316\) | 164.004 | 0.518999 | ||||||||
\(317\) | −167.692 | + | 44.9330i | −0.528997 | + | 0.141744i | −0.513425 | − | 0.858134i | \(-0.671624\pi\) |
−0.0155721 | + | 0.999879i | \(0.504957\pi\) | |||||||
\(318\) | 27.0890 | + | 7.25848i | 0.0851856 | + | 0.0228254i | ||||
\(319\) | 80.8252 | − | 46.6645i | 0.253371 | − | 0.146284i | ||||
\(320\) | 39.8462 | + | 3.50482i | 0.124519 | + | 0.0109526i | ||||
\(321\) | −50.9205 | −0.158631 | ||||||||
\(322\) | −352.106 | − | 206.311i | −1.09350 | − | 0.640716i | ||||
\(323\) | −577.253 | + | 577.253i | −1.78716 | + | 1.78716i | ||||
\(324\) | 15.5885 | + | 9.00000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | 169.286 | − | 118.300i | 0.520880 | − | 0.364000i | ||||
\(326\) | 181.950 | + | 315.146i | 0.558128 | + | 0.966705i | ||||
\(327\) | 284.162 | − | 76.1410i | 0.868997 | − | 0.232847i | ||||
\(328\) | −85.9133 | + | 85.9133i | −0.261931 | + | 0.261931i | ||||
\(329\) | −184.815 | + | 182.459i | −0.561747 | + | 0.554588i | ||||
\(330\) | 124.885 | − | 58.1637i | 0.378438 | − | 0.176254i | ||||
\(331\) | −201.616 | + | 349.209i | −0.609112 | + | 1.05501i | 0.382275 | + | 0.924048i | \(0.375141\pi\) |
−0.991387 | + | 0.130964i | \(0.958193\pi\) | |||||||
\(332\) | 75.5421 | − | 281.927i | 0.227536 | − | 0.849178i | ||||
\(333\) | −70.8422 | − | 18.9821i | −0.212739 | − | 0.0570033i | ||||
\(334\) | 36.1751 | + | 20.8857i | 0.108309 | + | 0.0625320i | ||||
\(335\) | 383.320 | + | 139.720i | 1.14424 | + | 0.417074i | ||||
\(336\) | −12.8522 | + | 46.7635i | −0.0382507 | + | 0.139177i | ||||
\(337\) | −140.687 | − | 140.687i | −0.417468 | − | 0.417468i | 0.466862 | − | 0.884330i | \(-0.345385\pi\) |
−0.884330 | + | 0.466862i | \(0.845385\pi\) | |||||||
\(338\) | −36.8792 | − | 137.635i | −0.109110 | − | 0.407204i | ||||
\(339\) | 168.779 | − | 97.4448i | 0.497874 | − | 0.287448i | ||||
\(340\) | −253.114 | + | 44.5091i | −0.744454 | + | 0.130909i | ||||
\(341\) | 67.5106 | − | 116.932i | 0.197978 | − | 0.342909i | ||||
\(342\) | −95.2956 | − | 95.2956i | −0.278642 | − | 0.278642i | ||||
\(343\) | 6.59883 | − | 342.937i | 0.0192386 | − | 0.999815i | ||||
\(344\) | − | 149.985i | − | 0.436003i | ||||||
\(345\) | 355.637 | + | 31.2814i | 1.03083 | + | 0.0906708i | ||||
\(346\) | −152.567 | − | 264.253i | −0.440944 | − | 0.763738i | ||||
\(347\) | 113.946 | − | 425.251i | 0.328373 | − | 1.22551i | −0.582503 | − | 0.812828i | \(-0.697927\pi\) |
0.910877 | − | 0.412678i | \(-0.135407\pi\) | |||||||
\(348\) | −7.43892 | − | 27.7624i | −0.0213762 | − | 0.0797771i | ||||
\(349\) | 283.692i | 0.812870i | 0.913680 | + | 0.406435i | \(0.133228\pi\) | ||||
−0.913680 | + | 0.406435i | \(0.866772\pi\) | |||||||
\(350\) | 203.767 | − | 140.460i | 0.582192 | − | 0.401314i | ||||
\(351\) | 42.9255 | 0.122295 | ||||||||
\(352\) | 61.4628 | − | 16.4689i | 0.174610 | − | 0.0467866i | ||||
\(353\) | 52.7227 | + | 14.1270i | 0.149356 | + | 0.0400199i | 0.332722 | − | 0.943025i | \(-0.392033\pi\) |
−0.183366 | + | 0.983045i | \(0.558699\pi\) | |||||||
\(354\) | −128.785 | + | 74.3539i | −0.363799 | + | 0.210039i | ||||
\(355\) | −0.525326 | + | 5.97241i | −0.00147979 | + | 0.0168237i | ||||
\(356\) | 29.2071 | 0.0820425 | ||||||||
\(357\) | 1.99831 | − | 311.587i | 0.00559752 | − | 0.872793i | ||||
\(358\) | −152.961 | + | 152.961i | −0.427264 | + | 0.427264i | ||||
\(359\) | 255.462 | + | 147.491i | 0.711594 | + | 0.410839i | 0.811651 | − | 0.584143i | \(-0.198569\pi\) |
−0.100057 | + | 0.994982i | \(0.531903\pi\) | |||||||
\(360\) | −7.34777 | − | 41.7853i | −0.0204105 | − | 0.116070i | ||||
\(361\) | 324.014 | + | 561.209i | 0.897546 | + | 1.55459i | ||||
\(362\) | 84.3956 | − | 22.6137i | 0.233137 | − | 0.0624689i | ||||
\(363\) | 6.77034 | − | 6.77034i | 0.0186511 | − | 0.0186511i | ||||
\(364\) | 29.2164 | + | 111.903i | 0.0802649 | + | 0.307426i | ||||
\(365\) | −122.474 | + | 336.006i | −0.335544 | + | 0.920563i | ||||
\(366\) | 46.1206 | − | 79.8833i | 0.126013 | − | 0.218260i | ||||
\(367\) | 2.51130 | − | 9.37230i | 0.00684278 | − | 0.0255376i | −0.962420 | − | 0.271565i | \(-0.912459\pi\) |
0.969263 | + | 0.246028i | \(0.0791254\pi\) | |||||||
\(368\) | 159.277 | + | 42.6782i | 0.432819 | + | 0.115973i | ||||
\(369\) | 111.605 | + | 64.4350i | 0.302452 | + | 0.174621i | ||||
\(370\) | 72.9836 | + | 156.705i | 0.197253 | + | 0.423526i | ||||
\(371\) | 77.5447 | − | 20.2459i | 0.209015 | − | 0.0545712i | ||||
\(372\) | −29.4025 | − | 29.4025i | −0.0790390 | − | 0.0790390i | ||||
\(373\) | −3.18482 | − | 11.8859i | −0.00853840 | − | 0.0318658i | 0.961525 | − | 0.274717i | \(-0.0885841\pi\) |
−0.970064 | + | 0.242851i | \(0.921917\pi\) | |||||||
\(374\) | −354.053 | + | 204.413i | −0.946666 | + | 0.546558i | ||||
\(375\) | −108.516 | + | 187.348i | −0.289375 | + | 0.499595i | ||||
\(376\) | 52.4688 | − | 90.8787i | 0.139545 | − | 0.241699i | ||||
\(377\) | −48.4665 | − | 48.4665i | −0.128558 | − | 0.128558i | ||||
\(378\) | 51.4382 | + | 0.329891i | 0.136080 | + | 0.000872727i | ||||
\(379\) | − | 287.766i | − | 0.759278i | −0.925135 | − | 0.379639i | \(-0.876048\pi\) | ||
0.925135 | − | 0.379639i | \(-0.123952\pi\) | |||||||
\(380\) | −27.8329 | + | 316.430i | −0.0732444 | + | 0.832711i | ||||
\(381\) | −94.2079 | − | 163.173i | −0.247265 | − | 0.428275i | ||||
\(382\) | −8.15744 | + | 30.4440i | −0.0213546 | + | 0.0796963i | ||||
\(383\) | −167.673 | − | 625.764i | −0.437788 | − | 1.63385i | −0.734305 | − | 0.678820i | \(-0.762492\pi\) |
0.296516 | − | 0.955028i | \(-0.404175\pi\) | |||||||
\(384\) | − | 19.5959i | − | 0.0510310i | ||||||
\(385\) | 228.028 | − | 320.936i | 0.592281 | − | 0.833600i | ||||
\(386\) | 332.747 | 0.862038 | ||||||||
\(387\) | −153.662 | + | 41.1737i | −0.397060 | + | 0.106392i | ||||
\(388\) | 67.3242 | + | 18.0395i | 0.173516 | + | 0.0464935i | ||||
\(389\) | 117.516 | − | 67.8481i | 0.302099 | − | 0.174417i | −0.341287 | − | 0.939959i | \(-0.610863\pi\) |
0.643385 | + | 0.765543i | \(0.277529\pi\) | |||||||
\(390\) | −64.9987 | − | 77.5359i | −0.166663 | − | 0.198810i | ||||
\(391\) | −1059.45 | −2.70959 | ||||||||
\(392\) | 34.1505 | + | 134.320i | 0.0871186 | + | 0.342652i | ||||
\(393\) | −220.448 | + | 220.448i | −0.560936 | + | 0.560936i | ||||
\(394\) | 250.822 | + | 144.812i | 0.636603 | + | 0.367543i | ||||
\(395\) | −235.328 | + | 335.750i | −0.595768 | + | 0.850000i | ||||
\(396\) | −33.7454 | − | 58.4487i | −0.0852156 | − | 0.147598i | ||||
\(397\) | 335.779 | − | 89.9718i | 0.845791 | − | 0.226629i | 0.190200 | − | 0.981745i | \(-0.439086\pi\) |
0.655591 | + | 0.755116i | \(0.272420\pi\) | |||||||
\(398\) | −192.282 | + | 192.282i | −0.483119 | + | 0.483119i | ||||
\(399\) | −371.363 | − | 102.063i | −0.930733 | − | 0.255798i | ||||
\(400\) | −64.3502 | + | 76.5444i | −0.160876 | + | 0.191361i | ||||
\(401\) | 103.629 | − | 179.491i | 0.258427 | − | 0.447609i | −0.707394 | − | 0.706820i | \(-0.750129\pi\) |
0.965821 | + | 0.259211i | \(0.0834624\pi\) | |||||||
\(402\) | 51.7311 | − | 193.063i | 0.128684 | − | 0.480256i | ||||
\(403\) | −95.7824 | − | 25.6648i | −0.237674 | − | 0.0636844i | ||||
\(404\) | −279.091 | − | 161.133i | −0.690820 | − | 0.398845i | ||||
\(405\) | −40.7927 | + | 18.9988i | −0.100723 | + | 0.0469106i | ||||
\(406\) | −57.7056 | − | 58.4506i | −0.142132 | − | 0.143967i | ||||
\(407\) | 194.449 | + | 194.449i | 0.477761 | + | 0.477761i | ||||
\(408\) | 32.5860 | + | 121.613i | 0.0798677 | + | 0.298070i | ||||
\(409\) | −226.963 | + | 131.037i | −0.554921 | + | 0.320384i | −0.751105 | − | 0.660183i | \(-0.770479\pi\) |
0.196183 | + | 0.980567i | \(0.437145\pi\) | |||||||
\(410\) | −52.6060 | − | 299.159i | −0.128307 | − | 0.729657i | ||||
\(411\) | −203.156 | + | 351.877i | −0.494298 | + | 0.856149i | ||||
\(412\) | 96.0774 | + | 96.0774i | 0.233198 | + | 0.233198i | ||||
\(413\) | −214.840 | + | 366.663i | −0.520193 | + | 0.887803i | ||||
\(414\) | − | 174.899i | − | 0.422460i | ||||||
\(415\) | 468.769 | + | 559.187i | 1.12956 | + | 1.34744i | ||||
\(416\) | −23.3657 | − | 40.4705i | −0.0561675 | − | 0.0972849i | ||||
\(417\) | 100.514 | − | 375.123i | 0.241041 | − | 0.899576i | ||||
\(418\) | 130.784 | + | 488.094i | 0.312881 | + | 1.16769i | ||||
\(419\) | 143.688i | 0.342931i | 0.985190 | + | 0.171465i | \(0.0548502\pi\) | ||||
−0.985190 | + | 0.171465i | \(0.945150\pi\) | |||||||
\(420\) | −77.2930 | − | 93.4119i | −0.184031 | − | 0.222409i | ||||
\(421\) | 305.872 | 0.726537 | 0.363269 | − | 0.931684i | \(-0.381661\pi\) | ||||
0.363269 | + | 0.931684i | \(0.381661\pi\) | |||||||
\(422\) | 2.04073 | − | 0.546811i | 0.00483585 | − | 0.00129576i | ||||
\(423\) | −107.511 | − | 28.8074i | −0.254162 | − | 0.0681026i | ||||
\(424\) | −28.0446 | + | 16.1916i | −0.0661429 | + | 0.0381876i | ||||
\(425\) | 272.073 | − | 582.044i | 0.640173 | − | 1.36952i | ||||
\(426\) | 2.93717 | 0.00689476 | ||||||||
\(427\) | 1.69053 | − | 263.596i | 0.00395909 | − | 0.617321i | ||||
\(428\) | 41.5764 | − | 41.5764i | 0.0971411 | − | 0.0971411i | ||||
\(429\) | −139.386 | − | 80.4743i | −0.324908 | − | 0.187586i | ||||
\(430\) | 307.051 | + | 215.213i | 0.714071 | + | 0.500495i | ||||
\(431\) | 314.493 | + | 544.718i | 0.729683 | + | 1.26385i | 0.957017 | + | 0.290031i | \(0.0936656\pi\) |
−0.227334 | + | 0.973817i | \(0.573001\pi\) | |||||||
\(432\) | −20.0764 | + | 5.37945i | −0.0464731 | + | 0.0124524i | ||||
\(433\) | 215.672 | − | 215.672i | 0.498087 | − | 0.498087i | −0.412755 | − | 0.910842i | \(-0.635433\pi\) |
0.910842 | + | 0.412755i | \(0.135433\pi\) | |||||||
\(434\) | −114.580 | − | 31.4907i | −0.264010 | − | 0.0725591i | ||||
\(435\) | 67.5096 | + | 24.6072i | 0.155195 | + | 0.0565682i | ||||
\(436\) | −169.848 | + | 294.186i | −0.389561 | + | 0.674739i | ||||
\(437\) | −338.920 | + | 1264.87i | −0.775562 | + | 2.89444i | ||||
\(438\) | 169.233 | + | 45.3457i | 0.386376 | + | 0.103529i | ||||
\(439\) | −356.713 | − | 205.949i | −0.812559 | − | 0.469131i | 0.0352848 | − | 0.999377i | \(-0.488766\pi\) |
−0.847844 | + | 0.530246i | \(0.822099\pi\) | |||||||
\(440\) | −54.4774 | + | 149.458i | −0.123812 | + | 0.339678i | ||||
\(441\) | 128.238 | − | 71.8611i | 0.290789 | − | 0.162950i | ||||
\(442\) | 212.306 | + | 212.306i | 0.480331 | + | 0.480331i | ||||
\(443\) | −108.244 | − | 403.971i | −0.244342 | − | 0.911898i | −0.973713 | − | 0.227779i | \(-0.926854\pi\) |
0.729370 | − | 0.684119i | \(-0.239813\pi\) | |||||||
\(444\) | 73.3412 | − | 42.3436i | 0.165183 | − | 0.0953684i | ||||
\(445\) | −41.9092 | + | 59.7931i | −0.0941780 | + | 0.134367i | ||||
\(446\) | −186.552 | + | 323.117i | −0.418277 | + | 0.724478i | ||||
\(447\) | 140.244 | + | 140.244i | 0.313745 | + | 0.313745i | ||||
\(448\) | −27.6884 | − | 48.6760i | −0.0618045 | − | 0.108652i | ||||
\(449\) | 142.091i | 0.316460i | 0.987402 | + | 0.158230i | \(0.0505788\pi\) | ||||
−0.987402 | + | 0.158230i | \(0.949421\pi\) | |||||||
\(450\) | 96.0866 | + | 44.9151i | 0.213526 | + | 0.0998114i | ||||
\(451\) | −241.598 | − | 418.460i | −0.535695 | − | 0.927850i | ||||
\(452\) | −58.2444 | + | 217.371i | −0.128859 | + | 0.480909i | ||||
\(453\) | 43.4709 | + | 162.236i | 0.0959622 | + | 0.358136i | ||||
\(454\) | 65.5011i | 0.144275i | ||||||||
\(455\) | −271.012 | − | 100.757i | −0.595630 | − | 0.221444i | ||||
\(456\) | 155.617 | 0.341265 | ||||||||
\(457\) | −68.5338 | + | 18.3636i | −0.149965 | + | 0.0401829i | −0.333020 | − | 0.942920i | \(-0.608068\pi\) |
0.183056 | + | 0.983103i | \(0.441401\pi\) | |||||||
\(458\) | −230.436 | − | 61.7452i | −0.503136 | − | 0.134815i | ||||
\(459\) | 115.649 | − | 66.7700i | 0.251959 | − | 0.145468i | ||||
\(460\) | −315.918 | + | 264.835i | −0.686777 | + | 0.575729i | ||||
\(461\) | 75.0514 | 0.162801 | 0.0814007 | − | 0.996681i | \(-0.474061\pi\) | ||||
0.0814007 | + | 0.996681i | \(0.474061\pi\) | |||||||
\(462\) | −166.409 | − | 97.5047i | −0.360193 | − | 0.211049i | ||||
\(463\) | 345.058 | − | 345.058i | 0.745267 | − | 0.745267i | −0.228320 | − | 0.973586i | \(-0.573323\pi\) |
0.973586 | + | 0.228320i | \(0.0733231\pi\) | |||||||
\(464\) | 28.7418 | + | 16.5941i | 0.0619435 | + | 0.0357631i | ||||
\(465\) | 102.383 | − | 18.0036i | 0.220178 | − | 0.0387174i | ||||
\(466\) | 157.083 | + | 272.076i | 0.337088 | + | 0.583854i | ||||
\(467\) | −583.925 | + | 156.462i | −1.25037 | + | 0.335037i | −0.822481 | − | 0.568792i | \(-0.807411\pi\) |
−0.427894 | + | 0.903829i | \(0.640744\pi\) | |||||||
\(468\) | −35.0485 | + | 35.0485i | −0.0748899 | + | 0.0748899i | ||||
\(469\) | −144.292 | − | 552.660i | −0.307660 | − | 1.17838i | ||||
\(470\) | 110.760 | + | 237.816i | 0.235661 | + | 0.505992i | ||||
\(471\) | 111.632 | − | 193.352i | 0.237010 | − | 0.410514i | ||||
\(472\) | 44.4426 | − | 165.862i | 0.0941580 | − | 0.351403i | ||||
\(473\) | 576.155 | + | 154.380i | 1.21809 | + | 0.326386i | ||||
\(474\) | 173.952 | + | 100.431i | 0.366988 | + | 0.211880i | ||||
\(475\) | −607.862 | − | 511.024i | −1.27971 | − | 1.07584i | ||||
\(476\) | 252.778 | + | 256.041i | 0.531046 | + | 0.537902i | ||||
\(477\) | 24.2873 | + | 24.2873i | 0.0509169 | + | 0.0509169i | ||||
\(478\) | −15.5935 | − | 58.1958i | −0.0326224 | − | 0.121749i | ||||
\(479\) | 485.140 | − | 280.096i | 1.01282 | − | 0.584751i | 0.100803 | − | 0.994906i | \(-0.467859\pi\) |
0.912016 | + | 0.410155i | \(0.134526\pi\) | |||||||
\(480\) | 40.1170 | + | 28.1181i | 0.0835770 | + | 0.0585794i | ||||
\(481\) | 100.979 | − | 174.900i | 0.209935 | − | 0.363618i | ||||
\(482\) | −220.865 | − | 220.865i | −0.458227 | − | 0.458227i | ||||
\(483\) | −247.126 | − | 434.446i | −0.511648 | − | 0.899473i | ||||
\(484\) | 11.0559i | 0.0228428i | ||||||||
\(485\) | −133.534 | + | 111.942i | −0.275328 | + | 0.230808i | ||||
\(486\) | 11.0227 | + | 19.0919i | 0.0226805 | + | 0.0392837i | ||||
\(487\) | 181.271 | − | 676.511i | 0.372219 | − | 1.38914i | −0.485147 | − | 0.874433i | \(-0.661234\pi\) |
0.857366 | − | 0.514707i | \(-0.172099\pi\) | |||||||
\(488\) | 27.5671 | + | 102.882i | 0.0564899 | + | 0.210823i | ||||
\(489\) | 445.684i | 0.911419i | ||||||||
\(490\) | −323.983 | − | 122.821i | −0.661190 | − | 0.250656i | ||||
\(491\) | 285.090 | 0.580632 | 0.290316 | − | 0.956931i | \(-0.406240\pi\) | ||||
0.290316 | + | 0.956931i | \(0.406240\pi\) | |||||||
\(492\) | −143.736 | + | 38.5139i | −0.292146 | + | 0.0782803i | ||||
\(493\) | −205.966 | − | 55.1886i | −0.417782 | − | 0.111944i | ||||
\(494\) | 321.389 | − | 185.554i | 0.650584 | − | 0.375615i | ||||
\(495\) | 168.078 | + | 14.7840i | 0.339552 | + | 0.0298666i | ||||
\(496\) | 48.0141 | 0.0968027 | ||||||||
\(497\) | 7.29588 | − | 4.15012i | 0.0146798 | − | 0.00835034i | ||||
\(498\) | 252.769 | − | 252.769i | 0.507568 | − | 0.507568i | ||||
\(499\) | 659.973 | + | 381.035i | 1.32259 | + | 0.763598i | 0.984141 | − | 0.177387i | \(-0.0567643\pi\) |
0.338449 | + | 0.940985i | \(0.390098\pi\) | |||||||
\(500\) | −64.3666 | − | 241.572i | −0.128733 | − | 0.483144i | ||||
\(501\) | 25.5797 | + | 44.3053i | 0.0510572 | + | 0.0884337i | ||||
\(502\) | 225.514 | − | 60.4263i | 0.449231 | − | 0.120371i | ||||
\(503\) | −242.900 | + | 242.900i | −0.482902 | + | 0.482902i | −0.906057 | − | 0.423155i | \(-0.860922\pi\) |
0.423155 | + | 0.906057i | \(0.360922\pi\) | |||||||
\(504\) | −42.2685 | + | 41.7298i | −0.0838661 | + | 0.0827972i | ||||
\(505\) | 730.341 | − | 340.149i | 1.44622 | − | 0.673562i | ||||
\(506\) | −327.890 | + | 567.922i | −0.648004 | + | 1.12238i | ||||
\(507\) | 45.1676 | − | 168.568i | 0.0890879 | − | 0.332480i | ||||
\(508\) | 210.150 | + | 56.3097i | 0.413682 | + | 0.110846i | ||||
\(509\) | 110.550 | + | 63.8262i | 0.217191 | + | 0.125395i | 0.604649 | − | 0.796492i | \(-0.293313\pi\) |
−0.387458 | + | 0.921887i | \(0.626647\pi\) | |||||||
\(510\) | −295.724 | − | 107.791i | −0.579852 | − | 0.211355i | ||||
\(511\) | 484.443 | − | 126.482i | 0.948030 | − | 0.247518i | ||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −42.7198 | − | 159.433i | −0.0832746 | − | 0.310785i | ||||
\(514\) | 156.102 | − | 90.1256i | 0.303701 | − | 0.175342i | ||||
\(515\) | −334.552 | + | 58.8296i | −0.649615 | + | 0.114232i | ||||
\(516\) | 91.8466 | − | 159.083i | 0.177997 | − | 0.308300i | ||||
\(517\) | 295.097 | + | 295.097i | 0.570787 | + | 0.570787i | ||||
\(518\) | 122.348 | − | 208.810i | 0.236194 | − | 0.403107i | ||||
\(519\) | − | 373.711i | − | 0.720059i | ||||||
\(520\) | 116.379 | + | 10.2366i | 0.223806 | + | 0.0196857i | ||||
\(521\) | −371.561 | − | 643.563i | −0.713170 | − | 1.23525i | −0.963661 | − | 0.267127i | \(-0.913926\pi\) |
0.250492 | − | 0.968119i | \(-0.419408\pi\) | |||||||
\(522\) | 9.11078 | − | 34.0019i | 0.0174536 | − | 0.0651377i | ||||
\(523\) | −243.232 | − | 907.753i | −0.465070 | − | 1.73566i | −0.656657 | − | 0.754189i | \(-0.728030\pi\) |
0.191587 | − | 0.981476i | \(-0.438636\pi\) | |||||||
\(524\) | − | 359.990i | − | 0.687003i | ||||||
\(525\) | 302.141 | − | 24.1987i | 0.575507 | − | 0.0460927i | ||||
\(526\) | −617.480 | −1.17392 | ||||||||
\(527\) | −297.977 | + | 79.8426i | −0.565421 | + | 0.151504i | ||||
\(528\) | 75.2762 | + | 20.1702i | 0.142569 | + | 0.0382011i | ||||
\(529\) | −1013.61 | + | 585.208i | −1.91609 | + | 1.10625i | ||||
\(530\) | 7.09357 | − | 80.6464i | 0.0133841 | − | 0.152163i | ||||
\(531\) | −182.129 | −0.342993 | ||||||||
\(532\) | 386.551 | − | 219.882i | 0.726599 | − | 0.413312i | ||||
\(533\) | −250.928 | + | 250.928i | −0.470784 | + | 0.470784i | ||||
\(534\) | 30.9788 | + | 17.8856i | 0.0580128 | + | 0.0334937i | ||||
\(535\) | 25.4578 | + | 144.773i | 0.0475847 | + | 0.270605i | ||||
\(536\) | 115.397 | + | 199.873i | 0.215293 | + | 0.372898i | ||||
\(537\) | −255.908 | + | 68.5704i | −0.476552 | + | 0.127692i | ||||
\(538\) | −9.24940 | + | 9.24940i | −0.0171922 | + | 0.0171922i | ||||
\(539\) | −551.129 | − | 7.06945i | −1.02250 | − | 0.0131159i | ||||
\(540\) | 17.7947 | − | 48.8196i | 0.0329531 | − | 0.0904066i | ||||
\(541\) | 151.264 | − | 261.997i | 0.279600 | − | 0.484282i | −0.691685 | − | 0.722199i | \(-0.743131\pi\) |
0.971285 | + | 0.237917i | \(0.0764647\pi\) | |||||||
\(542\) | −35.3543 | + | 131.944i | −0.0652294 | + | 0.243439i | ||||
\(543\) | 103.363 | + | 27.6960i | 0.190356 | + | 0.0510056i | ||||
\(544\) | −125.903 | − | 72.6900i | −0.231439 | − | 0.133621i | ||||
\(545\) | −358.546 | − | 769.842i | −0.657883 | − | 1.41255i | ||||
\(546\) | −37.5376 | + | 136.582i | −0.0687502 | + | 0.250151i | ||||
\(547\) | −471.627 | − | 471.627i | −0.862206 | − | 0.862206i | 0.129388 | − | 0.991594i | \(-0.458699\pi\) |
−0.991594 | + | 0.129388i | \(0.958699\pi\) | |||||||
\(548\) | −121.430 | − | 453.183i | −0.221588 | − | 0.826977i | ||||
\(549\) | 97.8367 | − | 56.4860i | 0.178209 | − | 0.102889i | ||||
\(550\) | −227.803 | − | 325.984i | −0.414188 | − | 0.592698i | ||||
\(551\) | −131.779 | + | 228.247i | −0.239163 | + | 0.414242i | ||||
\(552\) | 142.804 | + | 142.804i | 0.258703 | + | 0.258703i | ||||
\(553\) | 574.001 | + | 3.68126i | 1.03798 | + | 0.00665690i | ||||
\(554\) | 214.635i | 0.387429i | ||||||||
\(555\) | −18.5508 | + | 210.904i | −0.0334249 | + | 0.380006i | ||||
\(556\) | 224.218 | + | 388.356i | 0.403269 | + | 0.698482i | ||||
\(557\) | 11.4833 | − | 42.8563i | 0.0206164 | − | 0.0769413i | −0.954851 | − | 0.297084i | \(-0.903986\pi\) |
0.975468 | + | 0.220143i | \(0.0706524\pi\) | |||||||
\(558\) | −13.1808 | − | 49.1914i | −0.0236215 | − | 0.0881566i | ||||
\(559\) | − | 438.062i | − | 0.783653i | ||||||
\(560\) | 139.380 | + | 13.1610i | 0.248893 | + | 0.0235018i | ||||
\(561\) | −500.707 | −0.892526 | ||||||||
\(562\) | 72.2154 | − | 19.3501i | 0.128497 | − | 0.0344307i | ||||
\(563\) | 79.9337 | + | 21.4182i | 0.141978 | + | 0.0380429i | 0.329108 | − | 0.944292i | \(-0.393252\pi\) |
−0.187130 | + | 0.982335i | \(0.559919\pi\) | |||||||
\(564\) | 111.303 | − | 64.2609i | 0.197346 | − | 0.113938i | ||||
\(565\) | −361.430 | − | 431.143i | −0.639698 | − | 0.763086i | ||||
\(566\) | 233.129 | 0.411889 | ||||||||
\(567\) | 54.3565 | + | 31.8493i | 0.0958668 | + | 0.0561715i | ||||
\(568\) | −2.39819 | + | 2.39819i | −0.00422216 | + | 0.00422216i | ||||
\(569\) | 497.115 | + | 287.010i | 0.873665 | + | 0.504410i | 0.868564 | − | 0.495577i | \(-0.165043\pi\) |
0.00510028 | + | 0.999987i | \(0.498377\pi\) | |||||||
\(570\) | −223.294 | + | 318.581i | −0.391745 | + | 0.558914i | ||||
\(571\) | −231.337 | − | 400.688i | −0.405144 | − | 0.701730i | 0.589194 | − | 0.807992i | \(-0.299445\pi\) |
−0.994338 | + | 0.106261i | \(0.966112\pi\) | |||||||
\(572\) | 179.515 | − | 48.1008i | 0.313837 | − | 0.0840924i | ||||
\(573\) | −27.2953 | + | 27.2953i | −0.0476358 | + | 0.0476358i | ||||
\(574\) | −302.619 | + | 298.762i | −0.527211 | + | 0.520491i | ||||
\(575\) | −88.8645 | − | 1026.76i | −0.154547 | − | 1.78567i | ||||
\(576\) | 12.0000 | − | 20.7846i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | −53.7263 | + | 200.509i | −0.0931131 | + | 0.347503i | −0.996727 | − | 0.0808459i | \(-0.974238\pi\) |
0.903614 | + | 0.428349i | \(0.140905\pi\) | |||||||
\(578\) | 507.450 | + | 135.971i | 0.877942 | + | 0.235244i | ||||
\(579\) | 352.931 | + | 203.765i | 0.609553 | + | 0.351926i | ||||
\(580\) | −75.2131 | + | 35.0297i | −0.129678 | + | 0.0603961i | ||||
\(581\) | 270.720 | − | 985.028i | 0.465955 | − | 1.69540i | ||||
\(582\) | 60.3612 | + | 60.3612i | 0.103713 | + | 0.103713i | ||||
\(583\) | −33.3321 | − | 124.397i | −0.0571735 | − | 0.213374i | ||||
\(584\) | −175.202 | + | 101.153i | −0.300004 | + | 0.173207i | ||||
\(585\) | −21.4607 | − | 122.043i | −0.0366849 | − | 0.208620i | ||||
\(586\) | 251.280 | − | 435.230i | 0.428806 | − | 0.742714i | ||||
\(587\) | 275.657 | + | 275.657i | 0.469603 | + | 0.469603i | 0.901786 | − | 0.432183i | \(-0.142256\pi\) |
−0.432183 | + | 0.901786i | \(0.642256\pi\) | |||||||
\(588\) | −46.0315 | + | 163.380i | −0.0782849 | + | 0.277858i | ||||
\(589\) | 381.295i | 0.647359i | ||||||||
\(590\) | 275.784 | + | 328.978i | 0.467431 | + | 0.557590i | ||||
\(591\) | 177.358 | + | 307.192i | 0.300098 | + | 0.519784i | ||||
\(592\) | −25.3095 | + | 94.4562i | −0.0427525 | + | 0.159554i | ||||
\(593\) | 62.5653 | + | 233.497i | 0.105506 | + | 0.393755i | 0.998402 | − | 0.0565081i | \(-0.0179967\pi\) |
−0.892896 | + | 0.450264i | \(0.851330\pi\) | |||||||
\(594\) | − | 82.6590i | − | 0.139157i | ||||||
\(595\) | −886.881 | + | 150.097i | −1.49056 | + | 0.252264i | ||||
\(596\) | −229.018 | −0.384258 | ||||||||
\(597\) | −321.693 | + | 86.1974i | −0.538850 | + | 0.144384i | ||||
\(598\) | 465.202 | + | 124.651i | 0.777930 | + | 0.208446i | ||||
\(599\) | 678.246 | − | 391.586i | 1.13230 | − | 0.653732i | 0.187786 | − | 0.982210i | \(-0.439869\pi\) |
0.944512 | + | 0.328478i | \(0.106536\pi\) | |||||||
\(600\) | −115.127 | + | 41.7813i | −0.191879 | + | 0.0696355i | ||||
\(601\) | −970.347 | −1.61455 | −0.807277 | − | 0.590172i | \(-0.799060\pi\) | ||||
−0.807277 | + | 0.590172i | \(0.799060\pi\) | |||||||
\(602\) | 3.36660 | − | 524.936i | 0.00559235 | − | 0.871987i | ||||
\(603\) | 173.096 | − | 173.096i | 0.287057 | − | 0.287057i | ||||
\(604\) | −167.959 | − | 96.9710i | −0.278077 | − | 0.160548i | ||||
\(605\) | −22.6338 | − | 15.8641i | −0.0374113 | − | 0.0262217i | ||||
\(606\) | −197.347 | − | 341.816i | −0.325656 | − | 0.564052i | ||||
\(607\) | 16.1478 | − | 4.32679i | 0.0266027 | − | 0.00712816i | −0.245493 | − | 0.969398i | \(-0.578950\pi\) |
0.272096 | + | 0.962270i | \(0.412283\pi\) | |||||||
\(608\) | −127.061 | + | 127.061i | −0.208982 | + | 0.208982i | ||||
\(609\) | −25.4125 | − | 97.3335i | −0.0417283 | − | 0.159825i | ||||
\(610\) | −250.177 | − | 91.1891i | −0.410126 | − | 0.149490i | ||||
\(611\) | 153.246 | − | 265.430i | 0.250812 | − | 0.434419i | ||||
\(612\) | −39.9096 | + | 148.945i | −0.0652117 | + | 0.243373i | ||||
\(613\) | 862.305 | + | 231.054i | 1.40670 | + | 0.376923i | 0.880745 | − | 0.473591i | \(-0.157042\pi\) |
0.525952 | + | 0.850514i | \(0.323709\pi\) | |||||||
\(614\) | −484.288 | − | 279.604i | −0.788743 | − | 0.455381i | ||||
\(615\) | 127.400 | − | 349.521i | 0.207154 | − | 0.568327i | ||||
\(616\) | 215.485 | − | 56.2603i | 0.349813 | − | 0.0913317i | ||||
\(617\) | 698.494 | + | 698.494i | 1.13208 | + | 1.13208i | 0.989831 | + | 0.142251i | \(0.0454339\pi\) |
0.142251 | + | 0.989831i | \(0.454566\pi\) | |||||||
\(618\) | 43.0703 | + | 160.741i | 0.0696931 | + | 0.260098i | ||||
\(619\) | 637.279 | − | 367.933i | 1.02953 | − | 0.594399i | 0.112679 | − | 0.993631i | \(-0.464057\pi\) |
0.916850 | + | 0.399232i | \(0.130723\pi\) | |||||||
\(620\) | −68.8953 | + | 98.2950i | −0.111121 | + | 0.158540i | ||||
\(621\) | 107.103 | − | 185.508i | 0.172469 | − | 0.298725i | ||||
\(622\) | −430.955 | − | 430.955i | −0.692854 | − | 0.692854i | ||||
\(623\) | 102.223 | + | 0.655590i | 0.164082 | + | 0.00105231i | ||||
\(624\) | − | 57.2340i | − | 0.0917211i | ||||||
\(625\) | 586.908 | + | 214.858i | 0.939053 | + | 0.343774i | ||||
\(626\) | −118.946 | − | 206.020i | −0.190009 | − | 0.329105i | ||||
\(627\) | −160.178 | + | 597.791i | −0.255467 | + | 0.953414i | ||||
\(628\) | 66.7243 | + | 249.018i | 0.106249 | + | 0.396526i | ||||
\(629\) | − | 628.285i | − | 0.998863i | ||||||
\(630\) | −24.7787 | − | 146.410i | −0.0393313 | − | 0.232398i | ||||
\(631\) | 395.464 | 0.626726 | 0.313363 | − | 0.949633i | \(-0.398544\pi\) | ||||
0.313363 | + | 0.949633i | \(0.398544\pi\) | |||||||
\(632\) | −224.033 | + | 60.0295i | −0.354483 | + | 0.0949834i | ||||
\(633\) | 2.49937 | + | 0.669704i | 0.00394845 | + | 0.00105798i | ||||
\(634\) | 212.625 | − | 122.759i | 0.335371 | − | 0.193626i | ||||
\(635\) | −416.822 | + | 349.424i | −0.656413 | + | 0.550274i | ||||
\(636\) | −39.6611 | −0.0623602 | ||||||||
\(637\) | 99.7436 | + | 392.308i | 0.156583 | + | 0.615868i | ||||
\(638\) | −93.3290 | + | 93.3290i | −0.146284 | + | 0.146284i | ||||
\(639\) | 3.11534 | + | 1.79864i | 0.00487533 | + | 0.00281477i | ||||
\(640\) | −55.7137 | + | 9.79703i | −0.0870527 | + | 0.0153079i | ||||
\(641\) | −99.9972 | − | 173.200i | −0.156002 | − | 0.270203i | 0.777421 | − | 0.628980i | \(-0.216527\pi\) |
−0.933423 | + | 0.358777i | \(0.883194\pi\) | |||||||
\(642\) | 69.5587 | − | 18.6382i | 0.108347 | − | 0.0290314i | ||||
\(643\) | −854.979 | + | 854.979i | −1.32967 | + | 1.32967i | −0.424019 | + | 0.905653i | \(0.639381\pi\) |
−0.905653 | + | 0.424019i | \(0.860619\pi\) | |||||||
\(644\) | 556.501 | + | 152.946i | 0.864132 | + | 0.237494i | ||||
\(645\) | 193.886 | + | 416.297i | 0.300599 | + | 0.645422i | ||||
\(646\) | 577.253 | − | 999.832i | 0.893581 | − | 1.54773i | ||||
\(647\) | −130.579 | + | 487.329i | −0.201823 | + | 0.753213i | 0.788572 | + | 0.614943i | \(0.210821\pi\) |
−0.990395 | + | 0.138270i | \(0.955846\pi\) | |||||||
\(648\) | −24.5885 | − | 6.58846i | −0.0379452 | − | 0.0101674i | ||||
\(649\) | 591.401 | + | 341.446i | 0.911250 | + | 0.526110i | ||||
\(650\) | −187.948 | + | 223.564i | −0.289151 | + | 0.343944i | ||||
\(651\) | −102.247 | − | 103.567i | −0.157061 | − | 0.159089i | ||||
\(652\) | −363.899 | − | 363.899i | −0.558128 | − | 0.558128i | ||||
\(653\) | −95.8220 | − | 357.612i | −0.146741 | − | 0.547645i | −0.999672 | − | 0.0256211i | \(-0.991844\pi\) |
0.852931 | − | 0.522024i | \(-0.174823\pi\) | |||||||
\(654\) | −360.303 | + | 208.021i | −0.550922 | + | 0.318075i | ||||
\(655\) | 736.974 | + | 516.548i | 1.12515 | + | 0.788622i | ||||
\(656\) | 85.9133 | − | 148.806i | 0.130965 | − | 0.226839i | ||||
\(657\) | 151.730 | + | 151.730i | 0.230943 | + | 0.230943i | ||||
\(658\) | 185.677 | − | 316.891i | 0.282184 | − | 0.481597i | ||||
\(659\) | 328.877i | 0.499055i | 0.968368 | + | 0.249528i | \(0.0802753\pi\) | ||||
−0.968368 | + | 0.249528i | \(0.919725\pi\) | |||||||
\(660\) | −149.306 | + | 125.164i | −0.226222 | + | 0.189643i | ||||
\(661\) | −174.842 | − | 302.835i | −0.264511 | − | 0.458147i | 0.702924 | − | 0.711265i | \(-0.251877\pi\) |
−0.967435 | + | 0.253118i | \(0.918544\pi\) | |||||||
\(662\) | 147.593 | − | 550.825i | 0.222950 | − | 0.832062i | ||||
\(663\) | 95.1743 | + | 355.195i | 0.143551 | + | 0.535739i | ||||
\(664\) | 412.770i | 0.621641i | ||||||||
\(665\) | −104.516 | + | 1106.86i | −0.157166 | + | 1.66445i | ||||
\(666\) | 103.720 | 0.155736 | ||||||||
\(667\) | −330.382 | + | 88.5257i | −0.495326 | + | 0.132722i | ||||
\(668\) | −57.0608 | − | 15.2894i | −0.0854203 | − | 0.0228883i | ||||
\(669\) | −395.736 | + | 228.478i | −0.591533 | + | 0.341522i | ||||
\(670\) | −574.766 | − | 50.5558i | −0.857860 | − | 0.0754564i | ||||
\(671\) | −423.587 | −0.631278 | ||||||||
\(672\) | 0.439855 | − | 68.5843i | 0.000654545 | − | 0.102060i | ||||
\(673\) | −861.883 | + | 861.883i | −1.28066 | + | 1.28066i | −0.340364 | + | 0.940294i | \(0.610550\pi\) |
−0.940294 | + | 0.340364i | \(0.889450\pi\) | |||||||
\(674\) | 243.677 | + | 140.687i | 0.361538 | + | 0.208734i | ||||
\(675\) | 74.4104 | + | 106.480i | 0.110238 | + | 0.157749i | ||||
\(676\) | 100.756 | + | 174.514i | 0.149047 | + | 0.258157i | ||||
\(677\) | 954.281 | − | 255.699i | 1.40957 | − | 0.377694i | 0.527801 | − | 0.849368i | \(-0.323017\pi\) |
0.881773 | + | 0.471674i | \(0.156350\pi\) | |||||||
\(678\) | −194.890 | + | 194.890i | −0.287448 | + | 0.287448i | ||||
\(679\) | 235.225 | + | 64.6480i | 0.346428 | + | 0.0952106i | ||||
\(680\) | 329.469 | − | 153.447i | 0.484513 | − | 0.225657i | ||||
\(681\) | −40.1110 | + | 69.4744i | −0.0589002 | + | 0.102018i | ||||
\(682\) | −49.4212 | + | 184.443i | −0.0724651 | + | 0.270444i | ||||
\(683\) | 531.889 | + | 142.519i | 0.778753 | + | 0.208666i | 0.626235 | − | 0.779634i | \(-0.284595\pi\) |
0.152518 | + | 0.988301i | \(0.451262\pi\) | |||||||
\(684\) | 165.057 | + | 95.2956i | 0.241311 | + | 0.139321i | ||||
\(685\) | 1102.00 | + | 401.678i | 1.60876 | + | 0.586391i | ||||
\(686\) | 116.509 | + | 470.875i | 0.169839 | + | 0.686407i | ||||
\(687\) | −206.604 | − | 206.604i | −0.300733 | − | 0.300733i | ||||
\(688\) | 54.8983 | + | 204.883i | 0.0797940 | + | 0.297795i | ||||
\(689\) | −81.9101 | + | 47.2908i | −0.118883 | + | 0.0686369i | ||||
\(690\) | −497.259 | + | 87.4410i | −0.720665 | + | 0.126726i | ||||
\(691\) | 81.0298 | − | 140.348i | 0.117265 | − | 0.203108i | −0.801418 | − | 0.598104i | \(-0.795921\pi\) |
0.918683 | + | 0.394996i | \(0.129254\pi\) | |||||||
\(692\) | 305.133 | + | 305.133i | 0.440944 | + | 0.440944i | ||||
\(693\) | −116.794 | − | 205.324i | −0.168535 | − | 0.296283i | ||||
\(694\) | 622.610i | 0.897133i | ||||||||
\(695\) | −1116.78 | − | 98.2304i | −1.60687 | − | 0.141339i | ||||
\(696\) | 20.3235 | + | 35.2014i | 0.0292004 | + | 0.0505767i | ||||
\(697\) | −285.730 | + | 1066.36i | −0.409943 | + | 1.52993i | ||||
\(698\) | −103.838 | − | 387.530i | −0.148766 | − | 0.555201i | ||||
\(699\) | 384.773i | 0.550462i | ||||||||
\(700\) | −226.939 | + | 266.456i | −0.324199 | + | 0.380651i | ||||
\(701\) | −106.422 | −0.151815 | −0.0759076 | − | 0.997115i | \(-0.524185\pi\) | ||||
−0.0759076 | + | 0.997115i | \(0.524185\pi\) | |||||||
\(702\) | −58.6373 | + | 15.7118i | −0.0835289 | + | 0.0223815i | ||||
\(703\) | −750.105 | − | 200.990i | −1.06701 | − | 0.285903i | ||||
\(704\) | −77.9317 | + | 44.9939i | −0.110698 | + | 0.0639117i | ||||
\(705\) | −28.1529 | + | 320.069i | −0.0399332 | + | 0.453998i | ||||
\(706\) | −77.1914 | −0.109336 | ||||||||
\(707\) | −973.182 | − | 570.220i | −1.37650 | − | 0.806534i | ||||
\(708\) | 148.708 | − | 148.708i | 0.210039 | − | 0.210039i | ||||
\(709\) | 517.345 | + | 298.689i | 0.729682 | + | 0.421282i | 0.818306 | − | 0.574783i | \(-0.194913\pi\) |
−0.0886236 | + | 0.996065i | \(0.528247\pi\) | |||||||
\(710\) | −1.46844 | − | 8.35074i | −0.00206823 | − | 0.0117616i | ||||
\(711\) | 123.003 | + | 213.047i | 0.173000 | + | 0.299644i | ||||
\(712\) | −39.8977 | + | 10.6906i | −0.0560361 | + | 0.0150148i | ||||
\(713\) | −349.900 | + | 349.900i | −0.490743 | + | 0.490743i | ||||
\(714\) | 111.319 | + | 426.367i | 0.155909 | + | 0.597153i | ||||
\(715\) | −159.113 | + | 436.524i | −0.222535 | + | 0.610523i | ||||
\(716\) | 152.961 | − | 264.936i | 0.213632 | − | 0.370022i | ||||
\(717\) | 19.0981 | − | 71.2751i | 0.0266361 | − | 0.0994073i | ||||
\(718\) | −402.953 | − | 107.971i | −0.561216 | − | 0.150377i | ||||
\(719\) | 781.019 | + | 450.921i | 1.08626 | + | 0.627151i | 0.932577 | − | 0.360970i | \(-0.117554\pi\) |
0.153680 | + | 0.988121i | \(0.450888\pi\) | |||||||
\(720\) | 25.3317 | + | 54.3903i | 0.0351829 | + | 0.0755421i | ||||
\(721\) | 334.107 | + | 338.421i | 0.463394 | + | 0.469377i | ||||
\(722\) | −648.028 | − | 648.028i | −0.897546 | − | 0.897546i | ||||
\(723\) | −99.0112 | − | 369.515i | −0.136945 | − | 0.511085i | ||||
\(724\) | −107.009 | + | 61.7819i | −0.147803 | + | 0.0853341i | ||||
\(725\) | 36.2098 | − | 204.241i | 0.0499445 | − | 0.281712i | ||||
\(726\) | −6.77034 | + | 11.7266i | −0.00932554 | + | 0.0161523i | ||||
\(727\) | 985.007 | + | 985.007i | 1.35489 | + | 1.35489i | 0.880095 | + | 0.474798i | \(0.157479\pi\) |
0.474798 | + | 0.880095i | \(0.342521\pi\) | |||||||
\(728\) | −80.8697 | − | 142.168i | −0.111085 | − | 0.195286i | ||||
\(729\) | 27.0000i | 0.0370370i | ||||||||
\(730\) | 44.3155 | − | 503.821i | 0.0607062 | − | 0.690165i | ||||
\(731\) | −681.400 | − | 1180.22i | −0.932148 | − | 1.61453i | ||||
\(732\) | −33.7627 | + | 126.004i | −0.0461238 | + | 0.172137i | ||||
\(733\) | 296.294 | + | 1105.78i | 0.404220 | + | 1.50857i | 0.805489 | + | 0.592611i | \(0.201903\pi\) |
−0.401269 | + | 0.915960i | \(0.631431\pi\) | |||||||
\(734\) | 13.7220i | 0.0186948i | ||||||||
\(735\) | −268.423 | − | 328.670i | −0.365202 | − | 0.447170i | ||||
\(736\) | −233.198 | −0.316845 | ||||||||
\(737\) | −886.577 | + | 237.558i | −1.20295 | + | 0.322331i | ||||
\(738\) | −176.040 | − | 47.1697i | −0.238536 | − | 0.0639156i | ||||
\(739\) | −1074.61 | + | 620.424i | −1.45413 | + | 0.839545i | −0.998712 | − | 0.0507308i | \(-0.983845\pi\) |
−0.455422 | + | 0.890276i | \(0.650512\pi\) | |||||||
\(740\) | −157.055 | − | 187.349i | −0.212237 | − | 0.253174i | ||||
\(741\) | 454.512 | 0.613377 | ||||||||
\(742\) | −98.5175 | + | 56.0398i | −0.132773 | + | 0.0755253i | ||||
\(743\) | 452.213 | − | 452.213i | 0.608631 | − | 0.608631i | −0.333957 | − | 0.942588i | \(-0.608384\pi\) |
0.942588 | + | 0.333957i | \(0.108384\pi\) | |||||||
\(744\) | 50.9267 | + | 29.4025i | 0.0684498 | + | 0.0395195i | ||||
\(745\) | 328.617 | − | 468.847i | 0.441096 | − | 0.629325i | ||||
\(746\) | 8.70110 | + | 15.0708i | 0.0116637 | + | 0.0202021i | ||||
\(747\) | 422.890 | − | 113.313i | 0.566118 | − | 0.151691i | ||||
\(748\) | 408.825 | − | 408.825i | 0.546558 | − | 0.546558i | ||||
\(749\) | 146.448 | − | 144.581i | 0.195524 | − | 0.193032i | ||||
\(750\) | 79.6608 | − | 295.642i | 0.106214 | − | 0.394189i | ||||
\(751\) | −169.151 | + | 292.978i | −0.225234 | + | 0.390118i | −0.956390 | − | 0.292093i | \(-0.905648\pi\) |
0.731155 | + | 0.682211i | \(0.238981\pi\) | |||||||
\(752\) | −38.4098 | + | 143.348i | −0.0510769 | + | 0.190622i | ||||
\(753\) | 276.197 | + | 74.0068i | 0.366796 | + | 0.0982826i | ||||
\(754\) | 83.9464 | + | 48.4665i | 0.111335 | + | 0.0642791i | ||||
\(755\) | 439.523 | − | 204.703i | 0.582150 | − | 0.271130i | ||||
\(756\) | −70.3867 | + | 18.3771i | −0.0931041 | + | 0.0243083i | ||||
\(757\) | 295.501 | + | 295.501i | 0.390357 | + | 0.390357i | 0.874815 | − | 0.484457i | \(-0.160983\pi\) |
−0.484457 | + | 0.874815i | \(0.660983\pi\) | |||||||
\(758\) | 105.330 | + | 393.096i | 0.138958 | + | 0.518597i | ||||
\(759\) | −695.560 | + | 401.582i | −0.916416 | + | 0.529093i | ||||
\(760\) | −77.8011 | − | 442.439i | −0.102370 | − | 0.582157i | ||||
\(761\) | −43.0586 | + | 74.5798i | −0.0565817 | + | 0.0980023i | −0.892929 | − | 0.450198i | \(-0.851353\pi\) |
0.836347 | + | 0.548200i | \(0.184687\pi\) | |||||||
\(762\) | 188.416 | + | 188.416i | 0.247265 | + | 0.247265i | ||||
\(763\) | −601.061 | + | 1025.82i | −0.787760 | + | 1.34445i | ||||
\(764\) | − | 44.5731i | − | 0.0583417i | ||||||
\(765\) | −247.655 | − | 295.423i | −0.323732 | − | 0.386174i | ||||
\(766\) | 458.091 | + | 793.437i | 0.598030 | + | 1.03582i | ||||
\(767\) | 129.804 | − | 484.435i | 0.169236 | − | 0.631597i | ||||
\(768\) | 7.17260 | + | 26.7685i | 0.00933933 | + | 0.0348548i | ||||
\(769\) | − | 1217.54i | − | 1.58328i | −0.610988 | − | 0.791640i | \(-0.709228\pi\) | ||
0.610988 | − | 0.791640i | \(-0.290772\pi\) | |||||||
\(770\) | −194.022 | + | 521.871i | −0.251976 | + | 0.677754i | ||||
\(771\) | 220.762 | 0.286332 | ||||||||
\(772\) | −454.541 | + | 121.794i | −0.588783 | + | 0.157764i | ||||
\(773\) | 818.896 | + | 219.423i | 1.05937 | + | 0.283859i | 0.746121 | − | 0.665811i | \(-0.231914\pi\) |
0.313254 | + | 0.949669i | \(0.398581\pi\) | |||||||
\(774\) | 194.836 | − | 112.489i | 0.251726 | − | 0.145334i | ||||
\(775\) | −102.373 | − | 282.086i | −0.132094 | − | 0.363982i | ||||
\(776\) | −98.5695 | −0.127023 | ||||||||
\(777\) | 257.639 | − | 146.553i | 0.331582 | − | 0.188614i | ||||
\(778\) | −135.696 | + | 135.696i | −0.174417 | + | 0.174417i | ||||
\(779\) | 1181.72 | + | 682.264i | 1.51696 | + | 0.875820i | ||||
\(780\) | 117.170 | + | 82.1248i | 0.150218 | + | 0.105288i | ||||
\(781\) | −6.74398 | − | 11.6809i | −0.00863506 | − | 0.0149564i | ||||
\(782\) | 1447.23 | − | 387.785i | 1.85068 | − | 0.495889i | ||||
\(783\) | 30.4853 | − | 30.4853i | 0.0389339 | − | 0.0389339i | ||||
\(784\) | −95.8148 | − | 170.984i | −0.122213 | − | 0.218092i | ||||
\(785\) | −605.536 | − | 220.717i | −0.771383 | − | 0.281168i | ||||
\(786\) | 220.448 | − | 381.827i | 0.280468 | − | 0.485784i | ||||
\(787\) | 171.444 | − | 639.837i | 0.217845 | − | 0.813008i | −0.767301 | − | 0.641287i | \(-0.778401\pi\) |
0.985146 | − | 0.171721i | \(-0.0549327\pi\) | |||||||
\(788\) | −395.634 | − | 106.010i | −0.502073 | − | 0.134530i | ||||
\(789\) | −654.936 | − | 378.128i | −0.830084 | − | 0.479249i | ||||
\(790\) | 198.571 | − | 544.779i | 0.251356 | − | 0.689594i | ||||
\(791\) | −208.730 | + | 759.476i | −0.263882 | + | 0.960146i | ||||
\(792\) | 67.4908 | + | 67.4908i | 0.0852156 | + | 0.0852156i | ||||
\(793\) | 80.5154 | + | 300.488i | 0.101533 | + | 0.378925i | ||||
\(794\) | −425.751 | + | 245.807i | −0.536210 | + | 0.309581i | ||||
\(795\) | 56.9095 | − | 81.1945i | 0.0715843 | − | 0.102132i | ||||
\(796\) | 192.282 | − | 333.041i | 0.241560 | − | 0.418394i | ||||
\(797\) | −72.1342 | − | 72.1342i | −0.0905072 | − | 0.0905072i | 0.660404 | − | 0.750911i | \(-0.270385\pi\) |
−0.750911 | + | 0.660404i | \(0.770385\pi\) | |||||||
\(798\) | 544.649 | + | 3.49302i | 0.682517 | + | 0.00437721i | ||||
\(799\) | − | 953.490i | − | 1.19335i | ||||||
\(800\) | 59.8868 | − | 128.115i | 0.0748586 | − | 0.160144i | ||||
\(801\) | 21.9053 | + | 37.9412i | 0.0273475 | + | 0.0473673i | ||||
\(802\) | −75.8619 | + | 283.121i | −0.0945909 | + | 0.353018i | ||||
\(803\) | −208.235 | − | 777.144i | −0.259321 | − | 0.967801i | ||||
\(804\) | 282.664i | 0.351572i | ||||||||
\(805\) | −1111.63 | + | 919.813i | −1.38091 | + | 1.14263i | ||||
\(806\) | 140.235 | 0.173989 | ||||||||
\(807\) | −15.4746 | + | 4.14639i | −0.0191754 | + | 0.00513803i | ||||
\(808\) | 440.225 | + | 117.958i | 0.544832 | + | 0.145987i | ||||
\(809\) | 541.028 | − | 312.363i | 0.668762 | − | 0.386110i | −0.126845 | − | 0.991923i | \(-0.540485\pi\) |
0.795607 | + | 0.605813i | \(0.207152\pi\) | |||||||
\(810\) | 48.7699 | − | 40.8840i | 0.0602097 | − | 0.0504741i | ||||
\(811\) | −429.920 | −0.530111 | −0.265056 | − | 0.964233i | \(-0.585390\pi\) | ||||
−0.265056 | + | 0.964233i | \(0.585390\pi\) | |||||||
\(812\) | 100.222 | + | 58.7232i | 0.123426 | + | 0.0723192i | ||||
\(813\) | −118.298 | + | 118.298i | −0.145508 | + | 0.145508i | ||||
\(814\) | −336.795 | − | 194.449i | −0.413753 | − | 0.238880i | ||||
\(815\) | 1267.14 | − | 222.821i | 1.55477 | − | 0.273400i | ||||
\(816\) | −89.0267 | − | 154.199i | −0.109101 | − | 0.188969i | ||||
\(817\) | −1627.04 | + | 435.964i | −1.99148 | + | 0.533615i | ||||
\(818\) | 262.074 | − | 262.074i | 0.320384 | − | 0.320384i | ||||
\(819\) | −123.454 | + | 121.881i | −0.150737 | + | 0.148816i | ||||
\(820\) | 181.361 | + | 389.404i | 0.221172 | + | 0.474883i | ||||
\(821\) | 625.295 | − | 1083.04i | 0.761626 | − | 1.31918i | −0.180385 | − | 0.983596i | \(-0.557734\pi\) |
0.942012 | − | 0.335580i | \(-0.108932\pi\) | |||||||
\(822\) | 148.721 | − | 555.034i | 0.180926 | − | 0.675224i | ||||
\(823\) | −353.796 | − | 94.7993i | −0.429886 | − | 0.115188i | 0.0373868 | − | 0.999301i | \(-0.488097\pi\) |
−0.467272 | + | 0.884113i | \(0.654763\pi\) | |||||||
\(824\) | −166.411 | − | 96.0774i | −0.201955 | − | 0.116599i | ||||
\(825\) | −41.9983 | − | 485.259i | −0.0509071 | − | 0.588192i | ||||
\(826\) | 159.269 | − | 579.508i | 0.192819 | − | 0.701583i | ||||
\(827\) | 458.173 | + | 458.173i | 0.554018 | + | 0.554018i | 0.927598 | − | 0.373580i | \(-0.121870\pi\) |
−0.373580 | + | 0.927598i | \(0.621870\pi\) | |||||||
\(828\) | 64.0173 | + | 238.916i | 0.0773156 | + | 0.288546i | ||||
\(829\) | 228.961 | − | 132.190i | 0.276189 | − | 0.159458i | −0.355508 | − | 0.934673i | \(-0.615692\pi\) |
0.631697 | + | 0.775216i | \(0.282359\pi\) | |||||||
\(830\) | −845.027 | − | 592.282i | −1.01810 | − | 0.713593i | ||||
\(831\) | −131.437 | + | 227.655i | −0.158167 | + | 0.273953i | ||||
\(832\) | 46.7313 | + | 46.7313i | 0.0561675 | + | 0.0561675i | ||||
\(833\) | 878.958 | + | 901.800i | 1.05517 | + | 1.08259i | ||||
\(834\) | 549.219i | 0.658536i | ||||||||
\(835\) | 113.177 | − | 94.8768i | 0.135541 | − | 0.113625i | ||||
\(836\) | −357.310 | − | 618.879i | −0.427404 | − | 0.740285i | ||||
\(837\) | 16.1431 | − | 60.2469i | 0.0192869 | − | 0.0719796i | ||||
\(838\) | −52.5935 | − | 196.282i | −0.0627607 | − | 0.234226i | ||||
\(839\) | 1042.00i | 1.24196i | 0.783827 | + | 0.620980i | \(0.213265\pi\) | ||||
−0.783827 | + | 0.620980i | \(0.786735\pi\) | |||||||
\(840\) | 139.775 | + | 99.3119i | 0.166399 | + | 0.118228i | ||||
\(841\) | 772.159 | 0.918144 | ||||||||
\(842\) | −417.829 | + | 111.957i | −0.496234 | + | 0.132966i | ||||
\(843\) | 88.4455 | + | 23.6989i | 0.104918 | + | 0.0281126i | ||||
\(844\) | −2.58754 | + | 1.49392i | −0.00306580 | + | 0.00177004i | ||||
\(845\) | −501.841 | − | 44.1414i | −0.593895 | − | 0.0522383i | ||||
\(846\) | 157.406 | 0.186060 | ||||||||
\(847\) | −0.248164 | + | 38.6949i | −0.000292992 | + | 0.0456847i | ||||
\(848\) | 32.3831 | − | 32.3831i | 0.0381876 | − | 0.0381876i | ||||
\(849\) | 247.271 | + | 142.762i | 0.291250 | + | 0.168153i | ||||
\(850\) | −158.616 | + | 894.673i | −0.186607 | + | 1.05256i | ||||
\(851\) | −503.903 | − | 872.785i | −0.592130 | − | 1.02560i | ||||
\(852\) | −4.01224 | + | 1.07508i | −0.00470921 | + | 0.00126183i | ||||
\(853\) | 559.421 | − | 559.421i | 0.655828 | − | 0.655828i | −0.298562 | − | 0.954390i | \(-0.596507\pi\) |
0.954390 | + | 0.298562i | \(0.0965071\pi\) | |||||||
\(854\) | 94.1735 | + | 360.698i | 0.110273 | + | 0.422363i | ||||
\(855\) | −431.930 | + | 201.167i | −0.505181 | + | 0.235283i | ||||
\(856\) | −41.5764 | + | 72.0124i | −0.0485705 | + | 0.0841267i | ||||
\(857\) | 294.728 | − | 1099.94i | 0.343906 | − | 1.28348i | −0.549978 | − | 0.835179i | \(-0.685364\pi\) |
0.893885 | − | 0.448297i | \(-0.147969\pi\) | |||||||
\(858\) | 219.860 | + | 58.9113i | 0.256247 | + | 0.0686611i | ||||
\(859\) | −127.974 | − | 73.8859i | −0.148980 | − | 0.0860139i | 0.423657 | − | 0.905823i | \(-0.360746\pi\) |
−0.572637 | + | 0.819809i | \(0.694080\pi\) | |||||||
\(860\) | −498.212 | − | 181.598i | −0.579317 | − | 0.211160i | ||||
\(861\) | −503.929 | + | 131.570i | −0.585284 | + | 0.152810i | ||||
\(862\) | −628.987 | − | 628.987i | −0.729683 | − | 0.729683i | ||||
\(863\) | −27.6980 | − | 103.370i | −0.0320950 | − | 0.119780i | 0.948020 | − | 0.318211i | \(-0.103082\pi\) |
−0.980115 | + | 0.198431i | \(0.936415\pi\) | |||||||
\(864\) | 25.4558 | − | 14.6969i | 0.0294628 | − | 0.0170103i | ||||
\(865\) | −1062.51 | + | 186.837i | −1.22833 | + | 0.215997i | ||||
\(866\) | −215.672 | + | 373.554i | −0.249044 | + | 0.431356i | ||||
\(867\) | 454.967 | + | 454.967i | 0.524761 | + | 0.524761i | ||||
\(868\) | 168.046 | + | 1.07774i | 0.193601 | + | 0.00124163i | ||||
\(869\) | − | 922.394i | − | 1.06144i | ||||||
\(870\) | −101.227 | − | 8.90379i | −0.116353 | − | 0.0102342i | ||||
\(871\) | 337.041 | + | 583.772i | 0.386959 | + | 0.670232i | ||||
\(872\) | 124.338 | − | 464.035i | 0.142589 | − | 0.532150i | ||||
\(873\) | 27.0592 | + | 100.986i | 0.0309956 | + | 0.115677i | ||||
\(874\) | − | 1851.90i | − | 2.11887i | ||||||
\(875\) | −219.856 | − | 846.929i | −0.251264 | − | 0.967919i | ||||
\(876\) | −247.774 | −0.282847 | ||||||||
\(877\) | −1241.56 | + | 332.675i | −1.41569 | + | 0.379333i | −0.883953 | − | 0.467576i | \(-0.845128\pi\) |
−0.531738 | + | 0.846909i | \(0.678461\pi\) | |||||||
\(878\) | 562.662 | + | 150.765i | 0.640845 | + | 0.171714i | ||||
\(879\) | 533.046 | − | 307.754i | 0.606423 | − | 0.350119i | ||||
\(880\) | 19.7119 | − | 224.104i | 0.0223999 | − | 0.254664i | ||||
\(881\) | 1358.66 | 1.54217 | 0.771087 | − | 0.636729i | \(-0.219713\pi\) | ||||
0.771087 | + | 0.636729i | \(0.219713\pi\) | |||||||
\(882\) | −148.873 | + | 145.102i | −0.168791 | + | 0.164515i | ||||
\(883\) | 434.614 | − | 434.614i | 0.492201 | − | 0.492201i | −0.416798 | − | 0.908999i | \(-0.636848\pi\) |
0.908999 | + | 0.416798i | \(0.136848\pi\) | |||||||
\(884\) | −367.725 | − | 212.306i | −0.415979 | − | 0.240165i | ||||
\(885\) | 91.0559 | + | 517.817i | 0.102888 | + | 0.585104i | ||||
\(886\) | 295.727 | + | 512.215i | 0.333778 | + | 0.578120i | ||||
\(887\) | −843.084 | + | 225.904i | −0.950489 | + | 0.254683i | −0.700570 | − | 0.713584i | \(-0.747071\pi\) |
−0.249919 | + | 0.968267i | \(0.580404\pi\) | |||||||
\(888\) | −84.6871 | + | 84.6871i | −0.0953684 | + | 0.0953684i | ||||
\(889\) | 734.248 | + | 201.797i | 0.825925 | + | 0.226993i | ||||
\(890\) | 35.3632 | − | 97.0188i | 0.0397340 | − | 0.109010i | ||||
\(891\) | 50.6181 | − | 87.6731i | 0.0568104 | − | 0.0983985i | ||||
\(892\) | 136.565 | − | 509.669i | 0.153100 | − | 0.571377i | ||||
\(893\) | −1138.37 | − | 305.024i | −1.27477 | − | 0.341572i | ||||
\(894\) | −242.910 | − | 140.244i | −0.271711 | − | 0.156873i | ||||
\(895\) | 322.896 | + | 693.298i | 0.360778 | + | 0.774635i | ||||
\(896\) | 55.6397 | + | 56.3580i | 0.0620979 | + | 0.0628995i | ||||
\(897\) | 417.089 | + | 417.089i | 0.464982 | + | 0.464982i | ||||
\(898\) | −52.0088 | − | 194.100i | −0.0579163 | − | 0.216146i | ||||
\(899\) | −86.2507 | + | 49.7969i | −0.0959407 | + | 0.0553914i | ||||
\(900\) | −147.697 | − | 26.1851i | −0.164108 | − | 0.0290945i | ||||
\(901\) | −147.121 | + | 254.820i | −0.163286 | + | 0.282819i | ||||
\(902\) | 483.197 | + | 483.197i | 0.535695 | + | 0.535695i | ||||
\(903\) | 325.027 | − | 554.718i | 0.359942 | − | 0.614305i | ||||
\(904\) | − | 318.253i | − | 0.352050i | ||||||
\(905\) | 27.0668 | − | 307.721i | 0.0299081 | − | 0.340023i | ||||
\(906\) | −118.765 | − | 205.706i | −0.131087 | − | 0.227049i | ||||
\(907\) | 386.699 | − | 1443.18i | 0.426350 | − | 1.59116i | −0.334607 | − | 0.942358i | \(-0.608604\pi\) |
0.760957 | − | 0.648802i | \(-0.224730\pi\) | |||||||
\(908\) | −23.9751 | − | 89.4761i | −0.0264042 | − | 0.0985420i | ||||
\(909\) | − | 483.400i | − | 0.531793i | ||||||
\(910\) | 407.088 | + | 38.4395i | 0.447350 | + | 0.0422412i | ||||
\(911\) | −692.019 | −0.759626 | −0.379813 | − | 0.925063i | \(-0.624012\pi\) | ||||
−0.379813 | + | 0.925063i | \(0.624012\pi\) | |||||||
\(912\) | −212.577 | + | 56.9598i | −0.233089 | + | 0.0624559i | ||||
\(913\) | −1585.62 | − | 424.866i | −1.73672 | − | 0.465352i | ||||
\(914\) | 86.8974 | − | 50.1703i | 0.0950738 | − | 0.0548909i | ||||
\(915\) | −209.511 | − | 249.922i | −0.228973 | − | 0.273139i | ||||
\(916\) | 337.382 | 0.368321 | ||||||||
\(917\) | 8.08041 | − | 1259.94i | 0.00881179 | − | 1.37398i | ||||
\(918\) | −133.540 | + | 133.540i | −0.145468 | + | 0.145468i | ||||
\(919\) | 405.065 | + | 233.864i | 0.440767 | + | 0.254477i | 0.703923 | − | 0.710276i | \(-0.251430\pi\) |
−0.263156 | + | 0.964753i | \(0.584763\pi\) | |||||||
\(920\) | 334.615 | − | 477.406i | 0.363712 | − | 0.518919i | ||||
\(921\) | −342.443 | − | 593.130i | −0.371817 | − | 0.644006i | ||||
\(922\) | −102.522 | + | 27.4707i | −0.111195 | + | 0.0297947i | ||||
\(923\) | −7.00440 | + | 7.00440i | −0.00758873 | + | 0.00758873i | ||||
\(924\) | 263.009 | + | 72.2839i | 0.284641 | + | 0.0782293i | ||||
\(925\) | 608.900 | − | 52.6993i | 0.658271 | − | 0.0569722i | ||||
\(926\) | −345.058 | + | 597.659i | −0.372633 | + | 0.645420i | ||||
\(927\) | −52.7502 | + | 196.866i | −0.0569042 | + | 0.212369i | ||||
\(928\) | −45.3359 | − | 12.1477i | −0.0488533 | − | 0.0130902i | ||||
\(929\) | −306.947 | − | 177.216i | −0.330406 | − | 0.190760i | 0.325615 | − | 0.945502i | \(-0.394429\pi\) |
−0.656021 | + | 0.754742i | \(0.727762\pi\) | |||||||
\(930\) | −133.268 | + | 62.0680i | −0.143299 | + | 0.0667398i | ||||
\(931\) | 1357.84 | − | 760.894i | 1.45847 | − | 0.817287i | ||||
\(932\) | −314.166 | − | 314.166i | −0.337088 | − | 0.337088i | ||||
\(933\) | −193.192 | − | 721.002i | −0.207065 | − | 0.772778i | ||||
\(934\) | 740.387 | − | 427.463i | 0.792706 | − | 0.457669i | ||||
\(935\) | 250.330 | + | 1423.57i | 0.267732 | + | 1.52254i | ||||
\(936\) | 35.0485 | − | 60.7058i | 0.0374450 | − | 0.0648566i | ||||
\(937\) | −546.542 | − | 546.542i | −0.583289 | − | 0.583289i | 0.352517 | − | 0.935806i | \(-0.385326\pi\) |
−0.935806 | + | 0.352517i | \(0.885326\pi\) | |||||||
\(938\) | 399.395 | + | 702.133i | 0.425794 | + | 0.748543i | ||||
\(939\) | − | 291.356i | − | 0.310283i | ||||||
\(940\) | −238.348 | − | 284.322i | −0.253562 | − | 0.302470i | ||||
\(941\) | 385.947 | + | 668.480i | 0.410146 | + | 0.710394i | 0.994905 | − | 0.100813i | \(-0.0321444\pi\) |
−0.584759 | + | 0.811207i | \(0.698811\pi\) | |||||||
\(942\) | −81.7202 | + | 304.984i | −0.0867519 | + | 0.323762i | ||||
\(943\) | 458.328 | + | 1710.50i | 0.486032 | + | 1.81390i | ||||
\(944\) | 242.839i | 0.257245i | ||||||||
\(945\) | 63.3759 | − | 170.466i | 0.0670644 | − | 0.180387i | ||||
\(946\) | −843.550 | −0.891702 | ||||||||
\(947\) | −335.629 | + | 89.9315i | −0.354413 | + | 0.0949647i | −0.431633 | − | 0.902049i | \(-0.642062\pi\) |
0.0772198 | + | 0.997014i | \(0.475396\pi\) | |||||||
\(948\) | −274.383 | − | 73.5208i | −0.289434 | − | 0.0775536i | ||||
\(949\) | −511.715 | + | 295.439i | −0.539215 | + | 0.311316i | ||||
\(950\) | 1017.40 | + | 475.579i | 1.07095 | + | 0.500610i | ||||
\(951\) | 300.697 | 0.316191 | ||||||||
\(952\) | −439.019 | − | 257.236i | −0.461154 | − | 0.270206i | ||||
\(953\) | 190.549 | − | 190.549i | 0.199946 | − | 0.199946i | −0.600031 | − | 0.799977i | \(-0.704845\pi\) |
0.799977 | + | 0.600031i | \(0.204845\pi\) | |||||||
\(954\) | −42.0669 | − | 24.2873i | −0.0440953 | − | 0.0254584i | ||||
\(955\) | 91.2505 | + | 63.9577i | 0.0955502 | + | 0.0669715i | ||||
\(956\) | 42.6023 | + | 73.7894i | 0.0445631 | + | 0.0771855i | ||||
\(957\) | −156.142 | + | 41.8382i | −0.163158 | + | 0.0437181i | ||||
\(958\) | −560.192 | + | 560.192i | −0.584751 | + | 0.584751i | ||||
\(959\) | −414.824 | − | 1588.83i | −0.432559 | − | 1.65676i | ||||
\(960\) | −65.0928 | − | 23.7262i | −0.0678049 | − | 0.0247148i | ||||
\(961\) | 408.458 | − | 707.469i | 0.425034 | − | 0.736180i | ||||
\(962\) | −73.9216 | + | 275.879i | −0.0768415 | + | 0.286777i | ||||
\(963\) | 85.1916 | + | 22.8270i | 0.0884648 | + | 0.0237041i | ||||
\(964\) | 382.550 | + | 220.865i | 0.396836 | + | 0.229113i | ||||
\(965\) | 402.881 | − | 1105.30i | 0.417494 | − | 1.14539i | ||||
\(966\) | 496.599 | + | 503.009i | 0.514077 | + | 0.520714i | ||||
\(967\) | 697.702 | + | 697.702i | 0.721511 | + | 0.721511i | 0.968913 | − | 0.247402i | \(-0.0795767\pi\) |
−0.247402 | + | 0.968913i | \(0.579577\pi\) | |||||||
\(968\) | −4.04675 | − | 15.1027i | −0.00418053 | − | 0.0156019i | ||||
\(969\) | 1224.54 | − | 706.988i | 1.26371 | − | 0.729605i | ||||
\(970\) | 141.437 | − | 201.792i | 0.145811 | − | 0.208033i | ||||
\(971\) | −605.244 | + | 1048.31i | −0.623320 | + | 1.07962i | 0.365543 | + | 0.930794i | \(0.380883\pi\) |
−0.988863 | + | 0.148828i | \(0.952450\pi\) | |||||||
\(972\) | −22.0454 | − | 22.0454i | −0.0226805 | − | 0.0226805i | ||||
\(973\) | 776.028 | + | 1364.25i | 0.797562 | + | 1.40211i | ||||
\(974\) | 990.481i | 1.01692i | ||||||||
\(975\) | −336.254 | + | 122.031i | −0.344875 | + | 0.125160i | ||||
\(976\) | −75.3147 | − | 130.449i | −0.0771667 | − | 0.133657i | ||||
\(977\) | −269.113 | + | 1004.34i | −0.275448 | + | 1.02799i | 0.680093 | + | 0.733126i | \(0.261940\pi\) |
−0.955541 | + | 0.294860i | \(0.904727\pi\) | |||||||
\(978\) | −163.132 | − | 608.815i | −0.166801 | − | 0.622510i | ||||
\(979\) | − | 164.268i | − | 0.167791i | ||||||
\(980\) | 487.525 | + | 49.1912i | 0.497474 | + | 0.0501951i | ||||
\(981\) | −509.545 | −0.519414 | ||||||||
\(982\) | −389.441 | + | 104.350i | −0.396579 | + | 0.106263i | ||||
\(983\) | 957.423 | + | 256.541i | 0.973980 | + | 0.260977i | 0.710508 | − | 0.703690i | \(-0.248465\pi\) |
0.263473 | + | 0.964667i | \(0.415132\pi\) | |||||||
\(984\) | 182.250 | − | 105.222i | 0.185213 | − | 0.106933i | ||||
\(985\) | 784.717 | − | 657.832i | 0.796667 | − | 0.667850i | ||||
\(986\) | 301.556 | 0.305838 | ||||||||
\(987\) | 390.996 | − | 222.410i | 0.396145 | − | 0.225340i | ||||
\(988\) | −371.108 | + | 371.108i | −0.375615 | + | 0.375615i | ||||
\(989\) | −1893.14 | − | 1093.01i | −1.91420 | − | 1.10516i | ||||
\(990\) | −235.010 | + | 41.3256i | −0.237384 | + | 0.0417430i | ||||
\(991\) | 185.301 | + | 320.951i | 0.186984 | + | 0.323866i | 0.944243 | − | 0.329249i | \(-0.106795\pi\) |
−0.757259 | + | 0.653114i | \(0.773462\pi\) | |||||||
\(992\) | −65.5885 | + | 17.5744i | −0.0661174 | + | 0.0177161i | ||||
\(993\) | 493.856 | − | 493.856i | 0.497338 | − | 0.497338i | ||||
\(994\) | −8.44731 | + | 8.33965i | −0.00849830 | + | 0.00838999i | ||||
\(995\) | 405.902 | + | 871.521i | 0.407941 | + | 0.875900i | ||||
\(996\) | −252.769 | + | 437.808i | −0.253784 | + | 0.439567i | ||||
\(997\) | −95.4166 | + | 356.099i | −0.0957037 | + | 0.357171i | −0.997125 | − | 0.0757716i | \(-0.975858\pi\) |
0.901422 | + | 0.432943i | \(0.142525\pi\) | |||||||
\(998\) | −1041.01 | − | 278.937i | −1.04309 | − | 0.279496i | ||||
\(999\) | 110.012 | + | 63.5153i | 0.110122 | + | 0.0635789i |
(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 | 210.3.v.a.37.3 | ✓ | 32 | |
5.3 | odd | 4 | inner | 210.3.v.a.163.5 | yes | 32 | |
7.4 | even | 3 | inner | 210.3.v.a.67.5 | yes | 32 | |
35.18 | odd | 12 | inner | 210.3.v.a.193.3 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.v.a.37.3 | ✓ | 32 | 1.1 | even | 1 | trivial | |
210.3.v.a.67.5 | yes | 32 | 7.4 | even | 3 | inner | |
210.3.v.a.163.5 | yes | 32 | 5.3 | odd | 4 | inner | |
210.3.v.a.193.3 | yes | 32 | 35.18 | odd | 12 | inner |