Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [50,6,Mod(11,50)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(50, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("50.11");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 50 = 2 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 50.d (of order \(5\), 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: | \(8.01919099065\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 21.3 | ||
Character | \(\chi\) | \(=\) | 50.21 |
Dual form | 50.6.d.b.31.3 |
$q$-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 \(\left(\mathbb{Z}/50\mathbb{Z}\right)^\times\).
\(n\) | \(27\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23607 | + | 3.80423i | −0.218508 | + | 0.672499i | ||||
\(3\) | −7.20148 | − | 5.23218i | −0.461975 | − | 0.335645i | 0.332330 | − | 0.943163i | \(-0.392165\pi\) |
−0.794306 | + | 0.607518i | \(0.792165\pi\) | |||||||
\(4\) | −12.9443 | − | 9.40456i | −0.404508 | − | 0.293893i | ||||
\(5\) | −5.94028 | + | 55.5852i | −0.106263 | + | 0.994338i | ||||
\(6\) | 28.8059 | − | 20.9287i | 0.326666 | − | 0.237337i | ||||
\(7\) | −16.8909 | −0.130289 | −0.0651446 | − | 0.997876i | \(-0.520751\pi\) | ||||
−0.0651446 | + | 0.997876i | \(0.520751\pi\) | |||||||
\(8\) | 51.7771 | − | 37.6183i | 0.286031 | − | 0.207813i | ||||
\(9\) | −50.6055 | − | 155.748i | −0.208253 | − | 0.640937i | ||||
\(10\) | −204.116 | − | 91.3052i | −0.645472 | − | 0.288732i | ||||
\(11\) | 158.710 | − | 488.460i | 0.395479 | − | 1.21716i | −0.533109 | − | 0.846046i | \(-0.678976\pi\) |
0.928588 | − | 0.371112i | \(-0.121024\pi\) | |||||||
\(12\) | 44.0116 | + | 135.454i | 0.0882294 | + | 0.271542i | ||||
\(13\) | −161.333 | − | 496.533i | −0.264768 | − | 0.814872i | −0.991747 | − | 0.128212i | \(-0.959076\pi\) |
0.726979 | − | 0.686660i | \(-0.240924\pi\) | |||||||
\(14\) | 20.8783 | − | 64.2569i | 0.0284692 | − | 0.0876193i | ||||
\(15\) | 333.611 | − | 369.215i | 0.382835 | − | 0.423693i | ||||
\(16\) | 79.1084 | + | 243.470i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 479.260 | − | 348.203i | 0.402207 | − | 0.292220i | −0.368233 | − | 0.929734i | \(-0.620037\pi\) |
0.770439 | + | 0.637514i | \(0.220037\pi\) | |||||||
\(18\) | 655.052 | 0.476534 | ||||||||
\(19\) | 498.551 | − | 362.218i | 0.316829 | − | 0.230190i | −0.417992 | − | 0.908451i | \(-0.637266\pi\) |
0.734821 | + | 0.678261i | \(0.237266\pi\) | |||||||
\(20\) | 599.647 | − | 663.644i | 0.335213 | − | 0.370988i | ||||
\(21\) | 121.640 | + | 88.3764i | 0.0601904 | + | 0.0437309i | ||||
\(22\) | 1662.04 | + | 1207.54i | 0.732122 | + | 0.531918i | ||||
\(23\) | 442.325 | − | 1361.34i | 0.174350 | − | 0.536594i | −0.825253 | − | 0.564763i | \(-0.808968\pi\) |
0.999603 | + | 0.0281688i | \(0.00896760\pi\) | |||||||
\(24\) | −569.697 | −0.201891 | ||||||||
\(25\) | −3054.43 | − | 660.383i | −0.977416 | − | 0.211323i | ||||
\(26\) | 2088.34 | 0.605854 | ||||||||
\(27\) | −1118.89 | + | 3443.59i | −0.295378 | + | 0.909081i | ||||
\(28\) | 218.641 | + | 158.852i | 0.0527031 | + | 0.0382910i | ||||
\(29\) | −6398.09 | − | 4648.49i | −1.41272 | − | 1.02640i | −0.992920 | − | 0.118782i | \(-0.962101\pi\) |
−0.419797 | − | 0.907618i | \(-0.637899\pi\) | |||||||
\(30\) | 992.212 | + | 1725.51i | 0.201280 | + | 0.350036i | ||||
\(31\) | −460.025 | + | 334.228i | −0.0859761 | + | 0.0624653i | −0.629943 | − | 0.776641i | \(-0.716922\pi\) |
0.543967 | + | 0.839107i | \(0.316922\pi\) | |||||||
\(32\) | −1024.00 | −0.176777 | ||||||||
\(33\) | −3698.66 | + | 2687.23i | −0.591234 | + | 0.429557i | ||||
\(34\) | 732.245 | + | 2253.62i | 0.108632 | + | 0.334336i | ||||
\(35\) | 100.337 | − | 938.885i | 0.0138449 | − | 0.129552i | ||||
\(36\) | −809.688 | + | 2491.96i | −0.104127 | + | 0.320469i | ||||
\(37\) | 2908.55 | + | 8951.60i | 0.349279 | + | 1.07497i | 0.959253 | + | 0.282549i | \(0.0911798\pi\) |
−0.609974 | + | 0.792421i | \(0.708820\pi\) | |||||||
\(38\) | 761.718 | + | 2344.33i | 0.0855727 | + | 0.263366i | ||||
\(39\) | −1436.11 | + | 4419.90i | −0.151191 | + | 0.465319i | ||||
\(40\) | 1783.45 | + | 3101.50i | 0.176242 | + | 0.306494i | ||||
\(41\) | −2948.88 | − | 9075.73i | −0.273967 | − | 0.843183i | −0.989491 | − | 0.144595i | \(-0.953812\pi\) |
0.715524 | − | 0.698588i | \(-0.246188\pi\) | |||||||
\(42\) | −486.559 | + | 353.506i | −0.0425610 | + | 0.0309224i | ||||
\(43\) | −1668.25 | −0.137591 | −0.0687957 | − | 0.997631i | \(-0.521916\pi\) | ||||
−0.0687957 | + | 0.997631i | \(0.521916\pi\) | |||||||
\(44\) | −6648.14 | + | 4830.16i | −0.517689 | + | 0.376123i | ||||
\(45\) | 8957.88 | − | 1887.73i | 0.659438 | − | 0.138966i | ||||
\(46\) | 4632.09 | + | 3365.41i | 0.322762 | + | 0.234500i | ||||
\(47\) | 7201.89 | + | 5232.48i | 0.475556 | + | 0.345512i | 0.799603 | − | 0.600529i | \(-0.205043\pi\) |
−0.324047 | + | 0.946041i | \(0.605043\pi\) | |||||||
\(48\) | 704.185 | − | 2167.26i | 0.0441147 | − | 0.135771i | ||||
\(49\) | −16521.7 | −0.983025 | ||||||||
\(50\) | 6287.72 | − | 10803.4i | 0.355687 | − | 0.611135i | ||||
\(51\) | −5273.25 | −0.283892 | ||||||||
\(52\) | −2581.33 | + | 7944.52i | −0.132384 | + | 0.407436i | ||||
\(53\) | 8259.40 | + | 6000.81i | 0.403886 | + | 0.293440i | 0.771122 | − | 0.636687i | \(-0.219696\pi\) |
−0.367236 | + | 0.930128i | \(0.619696\pi\) | |||||||
\(54\) | −11717.2 | − | 8513.03i | −0.546813 | − | 0.397283i | ||||
\(55\) | 26208.4 | + | 11723.5i | 1.16824 | + | 0.522579i | ||||
\(56\) | −874.563 | + | 635.407i | −0.0372667 | + | 0.0270758i | ||||
\(57\) | −5485.50 | −0.223629 | ||||||||
\(58\) | 25592.4 | − | 18593.9i | 0.998942 | − | 0.725774i | ||||
\(59\) | −2401.25 | − | 7390.29i | −0.0898064 | − | 0.276396i | 0.896059 | − | 0.443935i | \(-0.146418\pi\) |
−0.985865 | + | 0.167539i | \(0.946418\pi\) | |||||||
\(60\) | −7790.66 | + | 1641.76i | −0.279380 | + | 0.0588750i | ||||
\(61\) | 16982.0 | − | 52265.2i | 0.584338 | − | 1.79841i | −0.0175745 | − | 0.999846i | \(-0.505594\pi\) |
0.601913 | − | 0.798562i | \(-0.294406\pi\) | |||||||
\(62\) | −702.856 | − | 2163.17i | −0.0232213 | − | 0.0714680i | ||||
\(63\) | 854.774 | + | 2630.72i | 0.0271331 | + | 0.0835072i | ||||
\(64\) | 1265.73 | − | 3895.53i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 28558.2 | − | 6018.20i | 0.838393 | − | 0.176678i | ||||
\(66\) | −5651.05 | − | 17392.1i | −0.159687 | − | 0.491466i | ||||
\(67\) | −36904.6 | + | 26812.7i | −1.00437 | + | 0.729716i | −0.963020 | − | 0.269429i | \(-0.913165\pi\) |
−0.0413478 | + | 0.999145i | \(0.513165\pi\) | |||||||
\(68\) | −9478.37 | −0.248577 | ||||||||
\(69\) | −10308.2 | + | 7489.32i | −0.260650 | + | 0.189374i | ||||
\(70\) | 3447.71 | + | 1542.23i | 0.0840980 | + | 0.0376187i | ||||
\(71\) | −46500.9 | − | 33784.9i | −1.09475 | − | 0.795384i | −0.114556 | − | 0.993417i | \(-0.536545\pi\) |
−0.980195 | + | 0.198033i | \(0.936545\pi\) | |||||||
\(72\) | −8479.17 | − | 6160.47i | −0.192762 | − | 0.140050i | ||||
\(73\) | 17212.3 | − | 52974.0i | 0.378035 | − | 1.16347i | −0.563373 | − | 0.826202i | \(-0.690497\pi\) |
0.941408 | − | 0.337269i | \(-0.109503\pi\) | |||||||
\(74\) | −37649.1 | −0.799236 | ||||||||
\(75\) | 18541.2 | + | 20737.1i | 0.380613 | + | 0.425691i | ||||
\(76\) | −9859.88 | −0.195811 | ||||||||
\(77\) | −2680.76 | + | 8250.54i | −0.0515266 | + | 0.158583i | ||||
\(78\) | −15039.2 | − | 10926.6i | −0.279890 | − | 0.203352i | ||||
\(79\) | 69422.4 | + | 50438.4i | 1.25150 | + | 0.909271i | 0.998308 | − | 0.0581445i | \(-0.0185184\pi\) |
0.253196 | + | 0.967415i | \(0.418518\pi\) | |||||||
\(80\) | −14003.3 | + | 2950.97i | −0.244627 | + | 0.0515513i | ||||
\(81\) | −6119.13 | + | 4445.81i | −0.103628 | + | 0.0752902i | ||||
\(82\) | 38171.2 | 0.626903 | ||||||||
\(83\) | 38076.0 | − | 27663.8i | 0.606674 | − | 0.440775i | −0.241567 | − | 0.970384i | \(-0.577661\pi\) |
0.848242 | + | 0.529609i | \(0.177661\pi\) | |||||||
\(84\) | −743.396 | − | 2287.94i | −0.0114953 | − | 0.0353790i | ||||
\(85\) | 16508.0 | + | 28708.2i | 0.247826 | + | 0.430982i | ||||
\(86\) | 2062.08 | − | 6346.41i | 0.0300648 | − | 0.0925300i | ||||
\(87\) | 21754.0 | + | 66952.0i | 0.308135 | + | 0.948343i | ||||
\(88\) | −10157.5 | − | 31261.4i | −0.139823 | − | 0.430331i | ||||
\(89\) | −9809.24 | + | 30189.7i | −0.131268 | + | 0.404003i | −0.994991 | − | 0.0999650i | \(-0.968127\pi\) |
0.863723 | + | 0.503968i | \(0.168127\pi\) | |||||||
\(90\) | −3891.19 | + | 36411.2i | −0.0506379 | + | 0.473836i | ||||
\(91\) | 2725.07 | + | 8386.90i | 0.0344964 | + | 0.106169i | ||||
\(92\) | −18528.4 | + | 13461.6i | −0.228227 | + | 0.165817i | ||||
\(93\) | 5061.61 | 0.0606850 | ||||||||
\(94\) | −28807.6 | + | 20929.9i | −0.336269 | + | 0.244314i | ||||
\(95\) | 17172.4 | + | 29863.7i | 0.195219 | + | 0.339496i | ||||
\(96\) | 7374.32 | + | 5357.76i | 0.0816665 | + | 0.0593342i | ||||
\(97\) | 17366.2 | + | 12617.3i | 0.187403 | + | 0.136156i | 0.677531 | − | 0.735494i | \(-0.263050\pi\) |
−0.490128 | + | 0.871650i | \(0.663050\pi\) | |||||||
\(98\) | 20421.9 | − | 62852.3i | 0.214799 | − | 0.661083i | ||||
\(99\) | −84108.2 | −0.862482 | ||||||||
\(100\) | 33326.7 | + | 37273.7i | 0.333267 | + | 0.372737i | ||||
\(101\) | −125521. | −1.22437 | −0.612184 | − | 0.790716i | \(-0.709709\pi\) | ||||
−0.612184 | + | 0.790716i | \(0.709709\pi\) | |||||||
\(102\) | 6518.09 | − | 20060.6i | 0.0620326 | − | 0.190917i | ||||
\(103\) | 147304. | + | 107023.i | 1.36811 | + | 0.993992i | 0.997882 | + | 0.0650528i | \(0.0207216\pi\) |
0.370231 | + | 0.928940i | \(0.379278\pi\) | |||||||
\(104\) | −27032.1 | − | 19639.9i | −0.245073 | − | 0.178056i | ||||
\(105\) | −5634.99 | + | 6236.39i | −0.0498793 | + | 0.0552026i | ||||
\(106\) | −33037.6 | + | 24003.2i | −0.285591 | + | 0.207494i | ||||
\(107\) | −153788. | −1.29856 | −0.649280 | − | 0.760550i | \(-0.724930\pi\) | ||||
−0.649280 | + | 0.760550i | \(0.724930\pi\) | |||||||
\(108\) | 46868.7 | − | 34052.1i | 0.386655 | − | 0.280921i | ||||
\(109\) | −8833.67 | − | 27187.3i | −0.0712156 | − | 0.219179i | 0.909114 | − | 0.416548i | \(-0.136760\pi\) |
−0.980329 | + | 0.197369i | \(0.936760\pi\) | |||||||
\(110\) | −76994.3 | + | 85211.4i | −0.606704 | + | 0.671454i | ||||
\(111\) | 25890.5 | − | 79682.9i | 0.199450 | − | 0.613843i | ||||
\(112\) | −1336.21 | − | 4112.44i | −0.0100654 | − | 0.0309781i | ||||
\(113\) | −31449.7 | − | 96792.1i | −0.231697 | − | 0.713089i | −0.997542 | − | 0.0700649i | \(-0.977679\pi\) |
0.765846 | − | 0.643024i | \(-0.222321\pi\) | |||||||
\(114\) | 6780.45 | − | 20868.1i | 0.0488648 | − | 0.150390i | ||||
\(115\) | 73042.6 | + | 32673.4i | 0.515029 | + | 0.230383i | ||||
\(116\) | 39101.7 | + | 120343.i | 0.269805 | + | 0.830375i | ||||
\(117\) | −69169.5 | + | 50254.6i | −0.467143 | + | 0.339399i | ||||
\(118\) | 31082.4 | 0.205499 | ||||||||
\(119\) | −8095.15 | + | 5881.47i | −0.0524032 | + | 0.0380731i | ||||
\(120\) | 3384.16 | − | 31666.7i | 0.0214535 | − | 0.200748i | ||||
\(121\) | −83111.2 | − | 60383.8i | −0.516055 | − | 0.374936i | ||||
\(122\) | 177838. | + | 129207.i | 1.08174 | + | 0.785933i | ||||
\(123\) | −26249.6 | + | 80787.8i | −0.156444 | + | 0.481485i | ||||
\(124\) | 9097.96 | 0.0531361 | ||||||||
\(125\) | 54851.7 | − | 165858.i | 0.313989 | − | 0.949427i | ||||
\(126\) | −11064.4 | −0.0620873 | ||||||||
\(127\) | 19292.3 | − | 59375.5i | 0.106139 | − | 0.326662i | −0.883857 | − | 0.467757i | \(-0.845062\pi\) |
0.989996 | + | 0.141095i | \(0.0450623\pi\) | |||||||
\(128\) | 13254.9 | + | 9630.27i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | 12013.9 | + | 8728.61i | 0.0635638 | + | 0.0461818i | ||||
\(130\) | −12405.3 | + | 116081.i | −0.0643798 | + | 0.602424i | ||||
\(131\) | −24021.6 | + | 17452.7i | −0.122299 | + | 0.0888557i | −0.647254 | − | 0.762275i | \(-0.724082\pi\) |
0.524954 | + | 0.851131i | \(0.324082\pi\) | |||||||
\(132\) | 73148.8 | 0.365403 | ||||||||
\(133\) | −8420.99 | + | 6118.20i | −0.0412794 | + | 0.0299913i | ||||
\(134\) | −56385.1 | − | 173536.i | −0.271271 | − | 0.834885i | ||||
\(135\) | −184766. | − | 82649.7i | −0.872546 | − | 0.390308i | ||||
\(136\) | 11715.9 | − | 36057.9i | 0.0543161 | − | 0.167168i | ||||
\(137\) | −93020.5 | − | 286288.i | −0.423426 | − | 1.30317i | −0.904494 | − | 0.426487i | \(-0.859751\pi\) |
0.481068 | − | 0.876683i | \(-0.340249\pi\) | |||||||
\(138\) | −15749.5 | − | 48471.9i | −0.0703993 | − | 0.216667i | ||||
\(139\) | −20199.9 | + | 62168.9i | −0.0886772 | + | 0.272921i | −0.985554 | − | 0.169359i | \(-0.945830\pi\) |
0.896877 | + | 0.442280i | \(0.145830\pi\) | |||||||
\(140\) | −10128.6 | + | 11209.6i | −0.0436746 | + | 0.0483358i | ||||
\(141\) | −24487.0 | − | 75363.2i | −0.103726 | − | 0.319236i | ||||
\(142\) | 186004. | − | 135140.i | 0.774106 | − | 0.562421i | ||||
\(143\) | −268142. | −1.09654 | ||||||||
\(144\) | 33916.7 | − | 24641.9i | 0.136303 | − | 0.0990303i | ||||
\(145\) | 296393. | − | 328026.i | 1.17071 | − | 1.29565i | ||||
\(146\) | 180250. | + | 130959.i | 0.699829 | + | 0.508456i | ||||
\(147\) | 118981. | + | 86444.6i | 0.454133 | + | 0.329947i | ||||
\(148\) | 46536.8 | − | 143226.i | 0.174639 | − | 0.537485i | ||||
\(149\) | 361011. | 1.33215 | 0.666077 | − | 0.745883i | \(-0.267972\pi\) | ||||
0.666077 | + | 0.745883i | \(0.267972\pi\) | |||||||
\(150\) | −101807. | + | 44902.3i | −0.369443 | + | 0.162945i | ||||
\(151\) | 403121. | 1.43878 | 0.719388 | − | 0.694609i | \(-0.244423\pi\) | ||||
0.719388 | + | 0.694609i | \(0.244423\pi\) | |||||||
\(152\) | 12187.5 | − | 37509.2i | 0.0427863 | − | 0.131683i | ||||
\(153\) | −78485.1 | − | 57022.7i | −0.271056 | − | 0.196933i | ||||
\(154\) | −28073.3 | − | 20396.5i | −0.0953876 | − | 0.0693032i | ||||
\(155\) | −15845.5 | − | 27556.0i | −0.0529755 | − | 0.0921270i | ||||
\(156\) | 60156.6 | − | 43706.3i | 0.197912 | − | 0.143791i | ||||
\(157\) | −286202. | −0.926667 | −0.463334 | − | 0.886184i | \(-0.653347\pi\) | ||||
−0.463334 | + | 0.886184i | \(0.653347\pi\) | |||||||
\(158\) | −277690. | + | 201753.i | −0.884947 | + | 0.642951i | ||||
\(159\) | −28082.6 | − | 86429.4i | −0.0880937 | − | 0.271125i | ||||
\(160\) | 6082.85 | − | 56919.2i | 0.0187848 | − | 0.175776i | ||||
\(161\) | −7471.28 | + | 22994.2i | −0.0227159 | + | 0.0699124i | ||||
\(162\) | −9349.20 | − | 28773.9i | −0.0279890 | − | 0.0861412i | ||||
\(163\) | 194402. | + | 598308.i | 0.573102 | + | 1.76383i | 0.642552 | + | 0.766242i | \(0.277876\pi\) |
−0.0694500 | + | 0.997585i | \(0.522124\pi\) | |||||||
\(164\) | −47182.1 | + | 145212.i | −0.136983 | + | 0.421592i | ||||
\(165\) | −127399. | − | 221554.i | −0.364299 | − | 0.633533i | ||||
\(166\) | 58174.9 | + | 179044.i | 0.163857 | + | 0.504300i | ||||
\(167\) | −62082.2 | + | 45105.4i | −0.172257 | + | 0.125152i | −0.670573 | − | 0.741843i | \(-0.733952\pi\) |
0.498316 | + | 0.866995i | \(0.333952\pi\) | |||||||
\(168\) | 9622.72 | 0.0263042 | ||||||||
\(169\) | 79866.1 | − | 58026.1i | 0.215103 | − | 0.156281i | ||||
\(170\) | −129617. | + | 27314.8i | −0.343986 | + | 0.0724897i | ||||
\(171\) | −81644.1 | − | 59317.9i | −0.213518 | − | 0.155130i | ||||
\(172\) | 21594.3 | + | 15689.2i | 0.0556569 | + | 0.0404371i | ||||
\(173\) | −132775. | + | 408641.i | −0.337289 | + | 1.03807i | 0.628294 | + | 0.777976i | \(0.283754\pi\) |
−0.965583 | + | 0.260094i | \(0.916246\pi\) | |||||||
\(174\) | −281590. | −0.705089 | ||||||||
\(175\) | 51592.1 | + | 11154.5i | 0.127347 | + | 0.0275330i | ||||
\(176\) | 131481. | 0.319949 | ||||||||
\(177\) | −21374.8 | + | 65784.8i | −0.0512824 | + | 0.157831i | ||||
\(178\) | −102724. | − | 74633.1i | −0.243008 | − | 0.176556i | ||||
\(179\) | 528551. | + | 384015.i | 1.23298 | + | 0.895809i | 0.997110 | − | 0.0759766i | \(-0.0242074\pi\) |
0.235866 | + | 0.971786i | \(0.424207\pi\) | |||||||
\(180\) | −133707. | − | 59809.6i | −0.307589 | − | 0.137591i | ||||
\(181\) | −89305.6 | + | 64884.3i | −0.202620 | + | 0.147212i | −0.684468 | − | 0.729043i | \(-0.739966\pi\) |
0.481848 | + | 0.876255i | \(0.339966\pi\) | |||||||
\(182\) | −35274.0 | −0.0789363 | ||||||||
\(183\) | −395757. | + | 287534.i | −0.873576 | + | 0.634690i | ||||
\(184\) | −28308.8 | − | 87125.5i | −0.0616420 | − | 0.189715i | ||||
\(185\) | −514854. | + | 108497.i | −1.10600 | + | 0.233072i | ||||
\(186\) | −6256.49 | + | 19255.5i | −0.0132602 | + | 0.0408106i | ||||
\(187\) | −94019.7 | − | 289363.i | −0.196614 | − | 0.605116i | ||||
\(188\) | −44014.0 | − | 135461.i | −0.0908231 | − | 0.279525i | ||||
\(189\) | 18899.1 | − | 58165.5i | 0.0384846 | − | 0.118443i | ||||
\(190\) | −134835. | + | 28414.3i | −0.270968 | + | 0.0571022i | ||||
\(191\) | 113065. | + | 347979.i | 0.224257 | + | 0.690192i | 0.998366 | + | 0.0571397i | \(0.0181980\pi\) |
−0.774109 | + | 0.633052i | \(0.781802\pi\) | |||||||
\(192\) | −29497.3 | + | 21431.0i | −0.0577469 | + | 0.0419556i | ||||
\(193\) | −619378. | −1.19691 | −0.598457 | − | 0.801155i | \(-0.704219\pi\) | ||||
−0.598457 | + | 0.801155i | \(0.704219\pi\) | |||||||
\(194\) | −69465.0 | + | 50469.3i | −0.132514 | + | 0.0962770i | ||||
\(195\) | −237150. | − | 106082.i | −0.446618 | − | 0.199781i | ||||
\(196\) | 213861. | + | 155379.i | 0.397642 | + | 0.288904i | ||||
\(197\) | 503197. | + | 365594.i | 0.923788 | + | 0.671171i | 0.944464 | − | 0.328615i | \(-0.106582\pi\) |
−0.0206758 | + | 0.999786i | \(0.506582\pi\) | |||||||
\(198\) | 103963. | − | 319966.i | 0.188459 | − | 0.580018i | ||||
\(199\) | 612135. | 1.09576 | 0.547879 | − | 0.836558i | \(-0.315435\pi\) | ||||
0.547879 | + | 0.836558i | \(0.315435\pi\) | |||||||
\(200\) | −182992. | + | 80709.5i | −0.323487 | + | 0.142676i | ||||
\(201\) | 406057. | 0.708919 | ||||||||
\(202\) | 155152. | − | 477509.i | 0.267534 | − | 0.823385i | ||||
\(203\) | 108070. | + | 78517.2i | 0.184062 | + | 0.133729i | ||||
\(204\) | 68258.4 | + | 49592.6i | 0.114837 | + | 0.0834337i | ||||
\(205\) | 521993. | − | 110002.i | 0.867522 | − | 0.182817i | ||||
\(206\) | −589217. | + | 428091.i | −0.967402 | + | 0.702859i | ||||
\(207\) | −234409. | −0.380232 | ||||||||
\(208\) | 108128. | − | 78559.8i | 0.173293 | − | 0.125905i | ||||
\(209\) | −97804.0 | − | 301010.i | −0.154878 | − | 0.476667i | ||||
\(210\) | −16759.4 | − | 29145.4i | −0.0262247 | − | 0.0456060i | ||||
\(211\) | −16676.0 | + | 51323.4i | −0.0257861 | + | 0.0793614i | −0.963121 | − | 0.269067i | \(-0.913285\pi\) |
0.937335 | + | 0.348429i | \(0.113285\pi\) | |||||||
\(212\) | −50477.0 | − | 155352.i | −0.0771354 | − | 0.237398i | ||||
\(213\) | 158107. | + | 486603.i | 0.238782 | + | 0.734895i | ||||
\(214\) | 190092. | − | 585043.i | 0.283746 | − | 0.873279i | ||||
\(215\) | 9909.89 | − | 92730.2i | 0.0146209 | − | 0.136812i | ||||
\(216\) | 71609.1 | + | 220390.i | 0.104432 | + | 0.321409i | ||||
\(217\) | 7770.26 | − | 5645.42i | 0.0112018 | − | 0.00813855i | ||||
\(218\) | 114345. | 0.162959 | ||||||||
\(219\) | −401124. | + | 291434.i | −0.565156 | + | 0.410610i | ||||
\(220\) | −228993. | − | 398231.i | −0.318982 | − | 0.554725i | ||||
\(221\) | −250215. | − | 181792.i | −0.344614 | − | 0.250376i | ||||
\(222\) | 271129. | + | 196987.i | 0.369227 | + | 0.268259i | ||||
\(223\) | 30995.9 | − | 95395.6i | 0.0417390 | − | 0.128459i | −0.928016 | − | 0.372541i | \(-0.878487\pi\) |
0.969755 | + | 0.244082i | \(0.0784865\pi\) | |||||||
\(224\) | 17296.3 | 0.0230321 | ||||||||
\(225\) | 51717.6 | + | 509139.i | 0.0681055 | + | 0.670471i | ||||
\(226\) | 407093. | 0.530179 | ||||||||
\(227\) | 335115. | − | 1.03138e6i | 0.431647 | − | 1.32847i | −0.464837 | − | 0.885396i | \(-0.653887\pi\) |
0.896484 | − | 0.443076i | \(-0.146113\pi\) | |||||||
\(228\) | 71005.8 | + | 51588.7i | 0.0904600 | + | 0.0657230i | ||||
\(229\) | 942748. | + | 684947.i | 1.18797 | + | 0.863114i | 0.993049 | − | 0.117704i | \(-0.0375534\pi\) |
0.194926 | + | 0.980818i | \(0.437553\pi\) | |||||||
\(230\) | −214583. | + | 237484.i | −0.267470 | + | 0.296016i | ||||
\(231\) | 62473.8 | − | 45389.9i | 0.0770315 | − | 0.0559666i | ||||
\(232\) | −506142. | −0.617380 | ||||||||
\(233\) | 382634. | − | 278000.i | 0.461736 | − | 0.335471i | −0.332476 | − | 0.943112i | \(-0.607884\pi\) |
0.794212 | + | 0.607641i | \(0.207884\pi\) | |||||||
\(234\) | −105682. | − | 325254.i | −0.126171 | − | 0.388315i | ||||
\(235\) | −333630. | + | 369236.i | −0.394089 | + | 0.436148i | ||||
\(236\) | −38420.0 | + | 118245.i | −0.0449032 | + | 0.138198i | ||||
\(237\) | −236042. | − | 726462.i | −0.272972 | − | 0.840121i | ||||
\(238\) | −12368.3 | − | 38065.7i | −0.0141536 | − | 0.0435603i | ||||
\(239\) | 494526. | − | 1.52199e6i | 0.560008 | − | 1.72353i | −0.122328 | − | 0.992490i | \(-0.539036\pi\) |
0.682337 | − | 0.731038i | \(-0.260964\pi\) | |||||||
\(240\) | 116284. | + | 52016.4i | 0.130315 | + | 0.0582924i | ||||
\(241\) | 36524.9 | + | 112412.i | 0.0405085 | + | 0.124672i | 0.969266 | − | 0.246016i | \(-0.0791217\pi\) |
−0.928757 | + | 0.370689i | \(0.879122\pi\) | |||||||
\(242\) | 332445. | − | 241535.i | 0.364906 | − | 0.265120i | ||||
\(243\) | 947185. | 1.02901 | ||||||||
\(244\) | −711351. | + | 516827.i | −0.764908 | + | 0.555739i | ||||
\(245\) | 98143.5 | − | 918362.i | 0.104459 | − | 0.977459i | ||||
\(246\) | −274889. | − | 199719.i | −0.289614 | − | 0.210417i | ||||
\(247\) | −260286. | − | 189109.i | −0.271462 | − | 0.197228i | ||||
\(248\) | −11245.7 | + | 34610.7i | −0.0116107 | + | 0.0357340i | ||||
\(249\) | −418946. | −0.428212 | ||||||||
\(250\) | 563161. | + | 413680.i | 0.569879 | + | 0.418615i | ||||
\(251\) | −489205. | −0.490125 | −0.245062 | − | 0.969507i | \(-0.578808\pi\) | ||||
−0.245062 | + | 0.969507i | \(0.578808\pi\) | |||||||
\(252\) | 13676.4 | − | 42091.6i | 0.0135666 | − | 0.0417536i | ||||
\(253\) | −594757. | − | 432116.i | −0.584169 | − | 0.424423i | ||||
\(254\) | 202031. | + | 146784.i | 0.196487 | + | 0.142756i | ||||
\(255\) | 31324.6 | − | 293114.i | 0.0301672 | − | 0.282284i | ||||
\(256\) | −53019.7 | + | 38521.1i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 225164. | 0.212651 | 0.106325 | − | 0.994331i | \(-0.466091\pi\) | ||||
0.106325 | + | 0.994331i | \(0.466091\pi\) | |||||||
\(258\) | −48055.6 | + | 34914.4i | −0.0449464 | + | 0.0326555i | ||||
\(259\) | −49128.1 | − | 151201.i | −0.0455073 | − | 0.140057i | ||||
\(260\) | −426264. | − | 190676.i | −0.391062 | − | 0.174930i | ||||
\(261\) | −400212. | + | 1.23173e6i | −0.363655 | + | 1.11921i | ||||
\(262\) | −36701.8 | − | 112957.i | −0.0330319 | − | 0.101662i | ||||
\(263\) | −412733. | − | 1.27026e6i | −0.367943 | − | 1.13241i | −0.948118 | − | 0.317919i | \(-0.897016\pi\) |
0.580175 | − | 0.814492i | \(-0.302984\pi\) | |||||||
\(264\) | −90416.8 | + | 278274.i | −0.0798435 | + | 0.245733i | ||||
\(265\) | −382619. | + | 423454.i | −0.334697 | + | 0.370417i | ||||
\(266\) | −12866.1 | − | 39597.8i | −0.0111492 | − | 0.0343137i | ||||
\(267\) | 228599. | − | 166087.i | 0.196244 | − | 0.142580i | ||||
\(268\) | 729865. | 0.620734 | ||||||||
\(269\) | −491227. | + | 356898.i | −0.413906 | + | 0.300720i | −0.775181 | − | 0.631739i | \(-0.782342\pi\) |
0.361275 | + | 0.932459i | \(0.382342\pi\) | |||||||
\(270\) | 542802. | − | 600732.i | 0.453140 | − | 0.501501i | ||||
\(271\) | −1.53712e6 | − | 1.11679e6i | −1.27141 | − | 0.923734i | −0.272152 | − | 0.962254i | \(-0.587735\pi\) |
−0.999258 | + | 0.0385206i | \(0.987735\pi\) | |||||||
\(272\) | 122691. | + | 89140.0i | 0.100552 | + | 0.0730550i | ||||
\(273\) | 24257.3 | − | 74656.2i | 0.0196986 | − | 0.0606260i | ||||
\(274\) | 1.20408e6 | 0.968902 | ||||||||
\(275\) | −807339. | + | 1.38716e6i | −0.643761 | + | 1.10610i | ||||
\(276\) | 203865. | 0.161091 | ||||||||
\(277\) | −660581. | + | 2.03306e6i | −0.517281 | + | 1.59203i | 0.261813 | + | 0.965119i | \(0.415680\pi\) |
−0.779093 | + | 0.626908i | \(0.784320\pi\) | |||||||
\(278\) | −211536. | − | 153690.i | −0.164162 | − | 0.119271i | ||||
\(279\) | 75335.1 | + | 54734.2i | 0.0579411 | + | 0.0420967i | ||||
\(280\) | −30124.1 | − | 52387.2i | −0.0229625 | − | 0.0399329i | ||||
\(281\) | 345196. | − | 250800.i | 0.260796 | − | 0.189479i | −0.449702 | − | 0.893179i | \(-0.648470\pi\) |
0.710498 | + | 0.703700i | \(0.248470\pi\) | |||||||
\(282\) | 316966. | 0.237351 | ||||||||
\(283\) | 144371. | − | 104892.i | 0.107155 | − | 0.0778529i | −0.532917 | − | 0.846167i | \(-0.678904\pi\) |
0.640073 | + | 0.768314i | \(0.278904\pi\) | |||||||
\(284\) | 284188. | + | 874642.i | 0.209079 | + | 0.643479i | ||||
\(285\) | 32585.4 | − | 304912.i | 0.0237635 | − | 0.222363i | ||||
\(286\) | 331441. | − | 1.02007e6i | 0.239603 | − | 0.737421i | ||||
\(287\) | 49809.4 | + | 153298.i | 0.0356949 | + | 0.109858i | ||||
\(288\) | 51820.0 | + | 159486.i | 0.0368143 | + | 0.113303i | ||||
\(289\) | −330315. | + | 1.01660e6i | −0.232639 | + | 0.715991i | ||||
\(290\) | 881522. | + | 1.53301e6i | 0.615514 | + | 1.07041i | ||||
\(291\) | −59046.6 | − | 181727.i | −0.0408754 | − | 0.125802i | ||||
\(292\) | −720998. | + | 523836.i | −0.494854 | + | 0.359533i | ||||
\(293\) | 165122. | 0.112366 | 0.0561831 | − | 0.998420i | \(-0.482107\pi\) | ||||
0.0561831 | + | 0.998420i | \(0.482107\pi\) | |||||||
\(294\) | −475923. | + | 345778.i | −0.321121 | + | 0.233308i | ||||
\(295\) | 425055. | − | 89573.6i | 0.284374 | − | 0.0599273i | ||||
\(296\) | 487340. | + | 354073.i | 0.323298 | + | 0.234890i | ||||
\(297\) | 1.50448e6 | + | 1.09307e6i | 0.989680 | + | 0.719045i | ||||
\(298\) | −446234. | + | 1.37337e6i | −0.291087 | + | 0.895872i | ||||
\(299\) | −747310. | −0.483418 | ||||||||
\(300\) | −44978.8 | − | 442798.i | −0.0288539 | − | 0.284055i | ||||
\(301\) | 28178.4 | 0.0179267 | ||||||||
\(302\) | −498285. | + | 1.53356e6i | −0.314384 | + | 0.967574i | ||||
\(303\) | 903935. | + | 656747.i | 0.565627 | + | 0.410952i | ||||
\(304\) | 127629. | + | 92727.9i | 0.0792073 | + | 0.0575475i | ||||
\(305\) | 2.80429e6 | + | 1.25442e6i | 1.72613 | + | 0.772134i | ||||
\(306\) | 313940. | − | 228091.i | 0.191665 | − | 0.139253i | ||||
\(307\) | −3.07543e6 | −1.86234 | −0.931171 | − | 0.364583i | \(-0.881211\pi\) | ||||
−0.931171 | + | 0.364583i | \(0.881211\pi\) | |||||||
\(308\) | 112293. | − | 81585.8i | 0.0674492 | − | 0.0490047i | ||||
\(309\) | −500846. | − | 1.54145e6i | −0.298406 | − | 0.918400i | ||||
\(310\) | 124415. | − | 26218.6i | 0.0735309 | − | 0.0154955i | ||||
\(311\) | 849084. | − | 2.61321e6i | 0.497794 | − | 1.53205i | −0.314763 | − | 0.949170i | \(-0.601925\pi\) |
0.812557 | − | 0.582882i | \(-0.198075\pi\) | |||||||
\(312\) | 91911.1 | + | 282873.i | 0.0534542 | + | 0.164515i | ||||
\(313\) | −400062. | − | 1.23126e6i | −0.230816 | − | 0.710380i | −0.997649 | − | 0.0685325i | \(-0.978168\pi\) |
0.766833 | − | 0.641847i | \(-0.221832\pi\) | |||||||
\(314\) | 353765. | − | 1.08878e6i | 0.202484 | − | 0.623182i | ||||
\(315\) | −151307. | + | 31885.5i | −0.0859176 | + | 0.0181058i | ||||
\(316\) | −424272. | − | 1.30578e6i | −0.239016 | − | 0.735615i | ||||
\(317\) | 89655.4 | − | 65138.4i | 0.0501104 | − | 0.0364074i | −0.562448 | − | 0.826833i | \(-0.690140\pi\) |
0.612559 | + | 0.790425i | \(0.290140\pi\) | |||||||
\(318\) | 363509. | 0.201580 | ||||||||
\(319\) | −3.28604e6 | + | 2.38745e6i | −1.80799 | + | 1.31358i | ||||
\(320\) | 209015. | + | 93496.6i | 0.114104 | + | 0.0510412i | ||||
\(321\) | 1.10750e6 | + | 804645.i | 0.599903 | + | 0.435855i | ||||
\(322\) | −78240.3 | − | 56844.9i | −0.0420524 | − | 0.0305528i | ||||
\(323\) | 112810. | − | 347194.i | 0.0601647 | − | 0.185168i | ||||
\(324\) | 121019. | 0.0640457 | ||||||||
\(325\) | 164879. | + | 1.62316e6i | 0.0865877 | + | 0.852421i | ||||
\(326\) | −2.51639e6 | −1.31140 | ||||||||
\(327\) | −78633.2 | + | 242008.i | −0.0406665 | + | 0.125158i | ||||
\(328\) | −494098. | − | 358983.i | −0.253588 | − | 0.184242i | ||||
\(329\) | −121647. | − | 88381.4i | −0.0619598 | − | 0.0450164i | ||||
\(330\) | 1.00031e6 | − | 210801.i | 0.505652 | − | 0.106558i | ||||
\(331\) | 364874. | − | 265097.i | 0.183051 | − | 0.132995i | −0.492486 | − | 0.870320i | \(-0.663912\pi\) |
0.675537 | + | 0.737326i | \(0.263912\pi\) | |||||||
\(332\) | −753032. | −0.374945 | ||||||||
\(333\) | 1.24700e6 | − | 906001.i | 0.616250 | − | 0.447732i | ||||
\(334\) | −94853.2 | − | 291928.i | −0.0465249 | − | 0.143189i | ||||
\(335\) | −1.27117e6 | − | 2.21062e6i | −0.618857 | − | 1.07622i | ||||
\(336\) | −11894.3 | + | 36607.0i | −0.00574767 | + | 0.0176895i | ||||
\(337\) | −123025. | − | 378632.i | −0.0590090 | − | 0.181611i | 0.917207 | − | 0.398411i | \(-0.130438\pi\) |
−0.976216 | + | 0.216800i | \(0.930438\pi\) | |||||||
\(338\) | 122025. | + | 375553.i | 0.0580972 | + | 0.178805i | ||||
\(339\) | −279950. | + | 861597.i | −0.132306 | + | 0.407198i | ||||
\(340\) | 56304.2 | − | 526857.i | 0.0264146 | − | 0.247170i | ||||
\(341\) | 90246.3 | + | 277749.i | 0.0420284 | + | 0.129350i | ||||
\(342\) | 326576. | − | 237272.i | 0.150980 | − | 0.109693i | ||||
\(343\) | 562953. | 0.258367 | ||||||||
\(344\) | −86377.3 | + | 62756.8i | −0.0393553 | + | 0.0285933i | ||||
\(345\) | −355062. | − | 617470.i | −0.160604 | − | 0.279298i | ||||
\(346\) | −1.39044e6 | − | 1.01022e6i | −0.624400 | − | 0.453653i | ||||
\(347\) | 3.46313e6 | + | 2.51611e6i | 1.54399 | + | 1.12178i | 0.947769 | + | 0.318959i | \(0.103333\pi\) |
0.596224 | + | 0.802818i | \(0.296667\pi\) | |||||||
\(348\) | 348064. | − | 1.07123e6i | 0.154068 | − | 0.474171i | ||||
\(349\) | −2.26805e6 | −0.996755 | −0.498378 | − | 0.866960i | \(-0.666071\pi\) | ||||
−0.498378 | + | 0.866960i | \(0.666071\pi\) | |||||||
\(350\) | −106205. | + | 182480.i | −0.0463422 | + | 0.0796243i | ||||
\(351\) | 1.89037e6 | 0.818991 | ||||||||
\(352\) | −162519. | + | 500183.i | −0.0699114 | + | 0.215165i | ||||
\(353\) | −1.37199e6 | − | 996812.i | −0.586024 | − | 0.425771i | 0.254867 | − | 0.966976i | \(-0.417968\pi\) |
−0.840891 | + | 0.541205i | \(0.817968\pi\) | |||||||
\(354\) | −223840. | − | 162629.i | −0.0949356 | − | 0.0689747i | ||||
\(355\) | 2.15417e6 | − | 2.38407e6i | 0.907212 | − | 1.00403i | ||||
\(356\) | 410895. | − | 298533.i | 0.171833 | − | 0.124844i | ||||
\(357\) | 89070.0 | 0.0369880 | ||||||||
\(358\) | −2.11420e6 | + | 1.53606e6i | −0.871845 | + | 0.633433i | ||||
\(359\) | −1.25482e6 | − | 3.86194e6i | −0.513861 | − | 1.58150i | −0.785345 | − | 0.619058i | \(-0.787514\pi\) |
0.271484 | − | 0.962443i | \(-0.412486\pi\) | |||||||
\(360\) | 392800. | − | 434721.i | 0.159740 | − | 0.176789i | ||||
\(361\) | −647806. | + | 1.99374e6i | −0.261624 | + | 0.805195i | ||||
\(362\) | −136447. | − | 419940.i | −0.0547258 | − | 0.168429i | ||||
\(363\) | 282585. | + | 869706.i | 0.112559 | + | 0.346422i | ||||
\(364\) | 43601.1 | − | 134190.i | 0.0172482 | − | 0.0530845i | ||||
\(365\) | 2.84233e6 | + | 1.27143e6i | 1.11671 | + | 0.499528i | ||||
\(366\) | −604663. | − | 1.86096e6i | −0.235945 | − | 0.726163i | ||||
\(367\) | 3.67128e6 | − | 2.66734e6i | 1.42283 | − | 1.03375i | 0.431533 | − | 0.902097i | \(-0.357973\pi\) |
0.991296 | − | 0.131649i | \(-0.0420272\pi\) | |||||||
\(368\) | 366437. | 0.141052 | ||||||||
\(369\) | −1.26430e6 | + | 918564.i | −0.483373 | + | 0.351191i | ||||
\(370\) | 223646. | − | 2.09273e6i | 0.0849292 | − | 0.794711i | ||||
\(371\) | −139509. | − | 101359.i | −0.0526220 | − | 0.0382321i | ||||
\(372\) | −65518.8 | − | 47602.2i | −0.0245476 | − | 0.0178349i | ||||
\(373\) | 22176.0 | − | 68250.8i | 0.00825300 | − | 0.0254001i | −0.946845 | − | 0.321689i | \(-0.895749\pi\) |
0.955098 | + | 0.296289i | \(0.0957493\pi\) | |||||||
\(374\) | 1.21702e6 | 0.449902 | ||||||||
\(375\) | −1.26281e6 | + | 907430.i | −0.463725 | + | 0.333223i | ||||
\(376\) | 569730. | 0.207826 | ||||||||
\(377\) | −1.27590e6 | + | 3.92682e6i | −0.462342 | + | 1.42294i | ||||
\(378\) | 197914. | + | 143793.i | 0.0712438 | + | 0.0517617i | ||||
\(379\) | 1.96297e6 | + | 1.42618e6i | 0.701964 | + | 0.510007i | 0.880571 | − | 0.473913i | \(-0.157159\pi\) |
−0.178607 | + | 0.983921i | \(0.557159\pi\) | |||||||
\(380\) | 58570.5 | − | 548063.i | 0.0208075 | − | 0.194703i | ||||
\(381\) | −449597. | + | 326651.i | −0.158676 | + | 0.115285i | ||||
\(382\) | −1.46355e6 | −0.513155 | ||||||||
\(383\) | 3.97141e6 | − | 2.88540e6i | 1.38340 | − | 1.00510i | 0.386845 | − | 0.922145i | \(-0.373565\pi\) |
0.996553 | − | 0.0829534i | \(-0.0264353\pi\) | |||||||
\(384\) | −45067.8 | − | 138705.i | −0.0155969 | − | 0.0480024i | ||||
\(385\) | −442683. | − | 198021.i | −0.152209 | − | 0.0680863i | ||||
\(386\) | 765594. | − | 2.35626e6i | 0.261535 | − | 0.804922i | ||||
\(387\) | 84422.8 | + | 259827.i | 0.0286538 | + | 0.0881874i | ||||
\(388\) | −106133. | − | 326644.i | −0.0357908 | − | 0.110153i | ||||
\(389\) | 1.34644e6 | − | 4.14390e6i | 0.451140 | − | 1.38847i | −0.424467 | − | 0.905443i | \(-0.639539\pi\) |
0.875608 | − | 0.483023i | \(-0.160461\pi\) | |||||||
\(390\) | 696693. | − | 771047.i | 0.231942 | − | 0.256696i | ||||
\(391\) | −262033. | − | 806454.i | −0.0866789 | − | 0.266770i | ||||
\(392\) | −855445. | + | 621517.i | −0.281175 | + | 0.204286i | ||||
\(393\) | 264307. | 0.0863233 | ||||||||
\(394\) | −2.01279e6 | + | 1.46238e6i | −0.653217 | + | 0.474590i | ||||
\(395\) | −3.21601e6 | + | 3.55924e6i | −1.03711 | + | 1.14780i | ||||
\(396\) | 1.08872e6 | + | 791001.i | 0.348881 | + | 0.253477i | ||||
\(397\) | −1.79497e6 | − | 1.30412e6i | −0.571584 | − | 0.415280i | 0.264096 | − | 0.964496i | \(-0.414926\pi\) |
−0.835680 | + | 0.549216i | \(0.814926\pi\) | |||||||
\(398\) | −756641. | + | 2.32870e6i | −0.239432 | + | 0.736896i | ||||
\(399\) | 92655.2 | 0.0291365 | ||||||||
\(400\) | −80846.9 | − | 795904.i | −0.0252646 | − | 0.248720i | ||||
\(401\) | −415051. | −0.128896 | −0.0644481 | − | 0.997921i | \(-0.520529\pi\) | ||||
−0.0644481 | + | 0.997921i | \(0.520529\pi\) | |||||||
\(402\) | −501914. | + | 1.54473e6i | −0.154904 | + | 0.476747i | ||||
\(403\) | 240173. | + | 174496.i | 0.0736649 | + | 0.0535207i | ||||
\(404\) | 1.62477e6 | + | 1.18047e6i | 0.495267 | + | 0.359832i | ||||
\(405\) | −210772. | − | 366543.i | −0.0638521 | − | 0.111042i | ||||
\(406\) | −432279. | + | 314069.i | −0.130151 | + | 0.0945605i | ||||
\(407\) | 4.83411e6 | 1.44654 | ||||||||
\(408\) | −273033. | + | 198370.i | −0.0812017 | + | 0.0589965i | ||||
\(409\) | −1.14046e6 | − | 3.50996e6i | −0.337109 | − | 1.03751i | −0.965674 | − | 0.259757i | \(-0.916357\pi\) |
0.628565 | − | 0.777757i | \(-0.283643\pi\) | |||||||
\(410\) | −226747. | + | 2.12175e6i | −0.0666166 | + | 0.623354i | ||||
\(411\) | −828024. | + | 2.54840e6i | −0.241790 | + | 0.744153i | ||||
\(412\) | −900243. | − | 2.77066e6i | −0.261286 | − | 0.804157i | ||||
\(413\) | 40559.4 | + | 124829.i | 0.0117008 | + | 0.0360114i | ||||
\(414\) | 289746. | − | 891746.i | 0.0830838 | − | 0.255706i | ||||
\(415\) | 1.31152e6 | + | 2.28079e6i | 0.373812 | + | 0.650077i | ||||
\(416\) | 165205. | + | 508449.i | 0.0468048 | + | 0.144050i | ||||
\(417\) | 470748. | − | 342019.i | 0.132571 | − | 0.0963185i | ||||
\(418\) | 1.26600e6 | 0.354400 | ||||||||
\(419\) | −4.52052e6 | + | 3.28435e6i | −1.25792 | + | 0.913932i | −0.998654 | − | 0.0518739i | \(-0.983481\pi\) |
−0.259266 | + | 0.965806i | \(0.583481\pi\) | |||||||
\(420\) | 131591. | − | 27730.8i | 0.0364002 | − | 0.00767078i | ||||
\(421\) | 3.35679e6 | + | 2.43885e6i | 0.923037 | + | 0.670625i | 0.944278 | − | 0.329149i | \(-0.106762\pi\) |
−0.0212413 | + | 0.999774i | \(0.506762\pi\) | |||||||
\(422\) | −174633. | − | 126879.i | −0.0477360 | − | 0.0346822i | ||||
\(423\) | 450492. | − | 1.38647e6i | 0.122415 | − | 0.376756i | ||||
\(424\) | 653388. | 0.176505 | ||||||||
\(425\) | −1.69381e6 | + | 747065.i | −0.454876 | + | 0.200625i | ||||
\(426\) | −2.04658e6 | −0.546392 | ||||||||
\(427\) | −286842. | + | 882808.i | −0.0761329 | + | 0.234313i | ||||
\(428\) | 1.99067e6 | + | 1.44631e6i | 0.525278 | + | 0.381637i | ||||
\(429\) | 1.93102e6 | + | 1.40297e6i | 0.506574 | + | 0.368048i | ||||
\(430\) | 340517. | + | 152320.i | 0.0888113 | + | 0.0397271i | ||||
\(431\) | −1.26566e6 | + | 919558.i | −0.328190 | + | 0.238444i | −0.739662 | − | 0.672978i | \(-0.765015\pi\) |
0.411472 | + | 0.911422i | \(0.365015\pi\) | |||||||
\(432\) | −926927. | −0.238966 | ||||||||
\(433\) | −263625. | + | 191535.i | −0.0675721 | + | 0.0490940i | −0.621059 | − | 0.783764i | \(-0.713297\pi\) |
0.553486 | + | 0.832858i | \(0.313297\pi\) | |||||||
\(434\) | 11871.9 | + | 36537.9i | 0.00302549 | + | 0.00931150i | ||||
\(435\) | −3.85076e6 | + | 811488.i | −0.975717 | + | 0.205617i | ||||
\(436\) | −141339. | + | 434996.i | −0.0356078 | + | 0.109590i | ||||
\(437\) | −272580. | − | 838914.i | −0.0682794 | − | 0.210142i | ||||
\(438\) | −612863. | − | 1.88620e6i | −0.152643 | − | 0.469788i | ||||
\(439\) | −359917. | + | 1.10771e6i | −0.0891335 | + | 0.274325i | −0.985680 | − | 0.168624i | \(-0.946068\pi\) |
0.896547 | + | 0.442949i | \(0.146068\pi\) | |||||||
\(440\) | 1.79801e6 | − | 378902.i | 0.442752 | − | 0.0933030i | ||||
\(441\) | 836089. | + | 2.57322e6i | 0.204718 | + | 0.630057i | ||||
\(442\) | 1.00086e6 | − | 727167.i | 0.243679 | − | 0.177043i | ||||
\(443\) | −6.07467e6 | −1.47066 | −0.735332 | − | 0.677707i | \(-0.762974\pi\) | ||||
−0.735332 | + | 0.677707i | \(0.762974\pi\) | |||||||
\(444\) | −1.08452e6 | + | 787948.i | −0.261083 | + | 0.189688i | ||||
\(445\) | −1.61983e6 | − | 724584.i | −0.387766 | − | 0.173456i | ||||
\(446\) | 324593. | + | 235831.i | 0.0772685 | + | 0.0561388i | ||||
\(447\) | −2.59981e6 | − | 1.88888e6i | −0.615423 | − | 0.447131i | ||||
\(448\) | −21379.4 | + | 65799.1i | −0.00503270 | + | 0.0154890i | ||||
\(449\) | 5.21186e6 | 1.22005 | 0.610024 | − | 0.792383i | \(-0.291160\pi\) | ||||
0.610024 | + | 0.792383i | \(0.291160\pi\) | |||||||
\(450\) | −2.00081e6 | − | 432585.i | −0.465772 | − | 0.100702i | ||||
\(451\) | −4.90115e6 | −1.13464 | ||||||||
\(452\) | −503195. | + | 1.54867e6i | −0.115848 | + | 0.356545i | ||||
\(453\) | −2.90307e6 | − | 2.10920e6i | −0.664679 | − | 0.482917i | ||||
\(454\) | 3.50937e6 | + | 2.54970e6i | 0.799078 | + | 0.580564i | ||||
\(455\) | −482375. | + | 101653.i | −0.109234 | + | 0.0230193i | ||||
\(456\) | −284023. | + | 206355.i | −0.0639649 | + | 0.0464732i | ||||
\(457\) | −5.36086e6 | −1.20073 | −0.600363 | − | 0.799727i | \(-0.704977\pi\) | ||||
−0.600363 | + | 0.799727i | \(0.704977\pi\) | |||||||
\(458\) | −3.77099e6 | + | 2.73979e6i | −0.840025 | + | 0.610314i | ||||
\(459\) | 662830. | + | 2.03998e6i | 0.146849 | + | 0.451954i | ||||
\(460\) | −638204. | − | 1.10987e6i | −0.140626 | − | 0.244555i | ||||
\(461\) | 353023. | − | 1.08649e6i | 0.0773662 | − | 0.238109i | −0.904892 | − | 0.425641i | \(-0.860049\pi\) |
0.982258 | + | 0.187532i | \(0.0600488\pi\) | |||||||
\(462\) | 95451.5 | + | 293770.i | 0.0208055 | + | 0.0640327i | ||||
\(463\) | 1.07672e6 | + | 3.31379e6i | 0.233426 | + | 0.718411i | 0.997326 | + | 0.0730770i | \(0.0232819\pi\) |
−0.763900 | + | 0.645334i | \(0.776718\pi\) | |||||||
\(464\) | 625626. | − | 1.92548e6i | 0.134903 | − | 0.415187i | ||||
\(465\) | −30067.4 | + | 281350.i | −0.00644856 | + | 0.0603414i | ||||
\(466\) | 584612. | + | 1.79925e6i | 0.124711 | + | 0.383820i | ||||
\(467\) | 6.00353e6 | − | 4.36182e6i | 1.27384 | − | 0.925498i | 0.274490 | − | 0.961590i | \(-0.411491\pi\) |
0.999348 | + | 0.0360922i | \(0.0114910\pi\) | |||||||
\(468\) | 1.36797e6 | 0.288710 | ||||||||
\(469\) | 623352. | − | 452892.i | 0.130858 | − | 0.0950741i | ||||
\(470\) | −992268. | − | 1.72560e6i | −0.207197 | − | 0.360326i | ||||
\(471\) | 2.06108e6 | + | 1.49746e6i | 0.428097 | + | 0.311031i | ||||
\(472\) | −402340. | − | 292317.i | −0.0831262 | − | 0.0603947i | ||||
\(473\) | −264769. | + | 814875.i | −0.0544145 | + | 0.167470i | ||||
\(474\) | 3.05539e6 | 0.624627 | ||||||||
\(475\) | −1.76199e6 | + | 777135.i | −0.358319 | + | 0.158038i | ||||
\(476\) | 160099. | 0.0323869 | ||||||||
\(477\) | 516641. | − | 1.59006e6i | 0.103966 | − | 0.319976i | ||||
\(478\) | 5.17874e6 | + | 3.76258e6i | 1.03670 | + | 0.753209i | ||||
\(479\) | 6.61576e6 | + | 4.80663e6i | 1.31747 | + | 0.957198i | 0.999960 | + | 0.00894376i | \(0.00284693\pi\) |
0.317511 | + | 0.948255i | \(0.397153\pi\) | |||||||
\(480\) | −341617. | + | 378076.i | −0.0676763 | + | 0.0748991i | ||||
\(481\) | 3.97552e6 | − | 2.88838e6i | 0.783485 | − | 0.569235i | ||||
\(482\) | −472788. | −0.0926934 | ||||||||
\(483\) | 174114. | − | 126501.i | 0.0339599 | − | 0.0246733i | ||||
\(484\) | 507930. | + | 1.56325e6i | 0.0985577 | + | 0.303330i | ||||
\(485\) | −804496. | + | 890355.i | −0.155299 | + | 0.171874i | ||||
\(486\) | −1.17078e6 | + | 3.60331e6i | −0.224847 | + | 0.692007i | ||||
\(487\) | −2.30500e6 | − | 7.09405e6i | −0.440400 | − | 1.35541i | −0.887450 | − | 0.460904i | \(-0.847525\pi\) |
0.447050 | − | 0.894509i | \(-0.352475\pi\) | |||||||
\(488\) | −1.08685e6 | − | 3.34497e6i | −0.206595 | − | 0.635833i | ||||
\(489\) | 1.73048e6 | − | 5.32586e6i | 0.327260 | − | 1.00720i | ||||
\(490\) | 3.37234e6 | + | 1.50852e6i | 0.634515 | + | 0.283831i | ||||
\(491\) | −1.17515e6 | − | 3.61675e6i | −0.219984 | − | 0.677041i | −0.998762 | − | 0.0497414i | \(-0.984160\pi\) |
0.778778 | − | 0.627299i | \(-0.215840\pi\) | |||||||
\(492\) | 1.09956e6 | − | 798874.i | 0.204788 | − | 0.148787i | ||||
\(493\) | −4.68497e6 | −0.868139 | ||||||||
\(494\) | 1.04114e6 | − | 756436.i | 0.191952 | − | 0.139462i | ||||
\(495\) | 499626. | − | 4.67517e6i | 0.0916499 | − | 0.857599i | ||||
\(496\) | −117767. | − | 85562.4i | −0.0214940 | − | 0.0156163i | ||||
\(497\) | 785444. | + | 570658.i | 0.142634 | + | 0.103630i | ||||
\(498\) | 517845. | − | 1.59376e6i | 0.0935678 | − | 0.287972i | ||||
\(499\) | 3.80253e6 | 0.683630 | 0.341815 | − | 0.939767i | \(-0.388958\pi\) | ||||
0.341815 | + | 0.939767i | \(0.388958\pi\) | |||||||
\(500\) | −2.26984e6 | + | 1.63106e6i | −0.406041 | + | 0.291772i | ||||
\(501\) | 683084. | 0.121585 | ||||||||
\(502\) | 604691. | − | 1.86105e6i | 0.107096 | − | 0.329608i | ||||
\(503\) | 621806. | + | 451769.i | 0.109581 | + | 0.0796152i | 0.641226 | − | 0.767352i | \(-0.278426\pi\) |
−0.531645 | + | 0.846967i | \(0.678426\pi\) | |||||||
\(504\) | 143221. | + | 104056.i | 0.0251148 | + | 0.0182470i | ||||
\(505\) | 745628. | − | 6.97709e6i | 0.130105 | − | 1.21743i | ||||
\(506\) | 2.37903e6 | − | 1.72846e6i | 0.413070 | − | 0.300113i | ||||
\(507\) | −878758. | −0.151827 | ||||||||
\(508\) | −808125. | + | 587137.i | −0.138938 | + | 0.100944i | ||||
\(509\) | −3.29945e6 | − | 1.01547e7i | −0.564479 | − | 1.73729i | −0.669496 | − | 0.742816i | \(-0.733490\pi\) |
0.105017 | − | 0.994470i | \(-0.466510\pi\) | |||||||
\(510\) | 1.07635e6 | + | 481475.i | 0.183244 | + | 0.0819688i | ||||
\(511\) | −290732. | + | 894780.i | −0.0492539 | + | 0.151588i | ||||
\(512\) | −81007.0 | − | 249314.i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | 689509. | + | 2.12209e6i | 0.115677 | + | 0.356017i | ||||
\(514\) | −278319. | + | 856576.i | −0.0464659 | + | 0.143007i | ||||
\(515\) | −6.82391e6 | + | 7.55219e6i | −1.13374 | + | 1.25474i | ||||
\(516\) | −73422.4 | − | 225971.i | −0.0121396 | − | 0.0373619i | ||||
\(517\) | 3.69887e6 | − | 2.68739e6i | 0.608615 | − | 0.442185i | ||||
\(518\) | 635928. | 0.104132 | ||||||||
\(519\) | 3.09427e6 | − | 2.24812e6i | 0.504242 | − | 0.366353i | ||||
\(520\) | 1.25227e6 | − | 1.38592e6i | 0.203090 | − | 0.224765i | ||||
\(521\) | −1.03133e6 | − | 749308.i | −0.166458 | − | 0.120939i | 0.501437 | − | 0.865194i | \(-0.332805\pi\) |
−0.667896 | + | 0.744255i | \(0.732805\pi\) | |||||||
\(522\) | −4.19108e6 | − | 3.04500e6i | −0.673209 | − | 0.489115i | ||||
\(523\) | −281561. | + | 866556.i | −0.0450110 | + | 0.138529i | −0.971036 | − | 0.238932i | \(-0.923203\pi\) |
0.926025 | + | 0.377461i | \(0.123203\pi\) | |||||||
\(524\) | 475078. | 0.0755852 | ||||||||
\(525\) | −313177. | − | 350268.i | −0.0495898 | − | 0.0554629i | ||||
\(526\) | 5.34253e6 | 0.841943 | ||||||||
\(527\) | −104093. | + | 320365.i | −0.0163265 | + | 0.0502479i | ||||
\(528\) | −946857. | − | 687932.i | −0.147809 | − | 0.107389i | ||||
\(529\) | 3.54953e6 | + | 2.57888e6i | 0.551482 | + | 0.400675i | ||||
\(530\) | −1.13797e6 | − | 1.97899e6i | −0.175971 | − | 0.306023i | ||||
\(531\) | −1.02950e6 | + | 747979.i | −0.158450 | + | 0.115121i | ||||
\(532\) | 166543. | 0.0255121 | ||||||||
\(533\) | −4.03064e6 | + | 2.92843e6i | −0.614549 | + | 0.446496i | ||||
\(534\) | 349269. | + | 1.07494e6i | 0.0530037 | + | 0.163129i | ||||
\(535\) | 913541. | − | 8.54831e6i | 0.137989 | − | 1.29121i | ||||
\(536\) | −902162. | + | 2.77657e6i | −0.135635 | + | 0.417442i | ||||
\(537\) | −1.79712e6 | − | 5.53095e6i | −0.268931 | − | 0.827683i | ||||
\(538\) | −750529. | − | 2.30989e6i | −0.111792 | − | 0.344061i | ||||
\(539\) | −2.62216e6 | + | 8.07019e6i | −0.388766 | + | 1.19650i | ||||
\(540\) | 1.61438e6 | + | 2.80749e6i | 0.238244 | + | 0.414318i | ||||
\(541\) | 2.46082e6 | + | 7.57364e6i | 0.361483 | + | 1.11253i | 0.952154 | + | 0.305617i | \(0.0988628\pi\) |
−0.590672 | + | 0.806912i | \(0.701137\pi\) | |||||||
\(542\) | 6.14850e6 | − | 4.46714e6i | 0.899023 | − | 0.653178i | ||||
\(543\) | 982620. | 0.143016 | ||||||||
\(544\) | −490763. | + | 356560.i | −0.0711008 | + | 0.0516577i | ||||
\(545\) | 1.56368e6 | − | 329522.i | 0.225506 | − | 0.0475218i | ||||
\(546\) | 254025. | + | 184560.i | 0.0364666 | + | 0.0264945i | ||||
\(547\) | 188546. | + | 136986.i | 0.0269431 | + | 0.0195753i | 0.601175 | − | 0.799117i | \(-0.294699\pi\) |
−0.574232 | + | 0.818692i | \(0.694699\pi\) | |||||||
\(548\) | −1.48833e6 | + | 4.58060e6i | −0.211713 | + | 0.651585i | ||||
\(549\) | −8.99957e6 | −1.27436 | ||||||||
\(550\) | −4.27913e6 | − | 4.78592e6i | −0.603182 | − | 0.674619i | ||||
\(551\) | −4.87354e6 | −0.683857 | ||||||||
\(552\) | −251991. | + | 775550.i | −0.0351996 | + | 0.108333i | ||||
\(553\) | −1.17261e6 | − | 851951.i | −0.163057 | − | 0.118468i | ||||
\(554\) | −6.91769e6 | − | 5.02600e6i | −0.957606 | − | 0.695741i | ||||
\(555\) | 4.27539e6 | + | 1.91247e6i | 0.589174 | + | 0.263549i | ||||
\(556\) | 846144. | − | 614760.i | 0.116080 | − | 0.0843371i | ||||
\(557\) | −1.89788e6 | −0.259197 | −0.129599 | − | 0.991567i | \(-0.541369\pi\) | ||||
−0.129599 | + | 0.991567i | \(0.541369\pi\) | |||||||
\(558\) | −301340. | + | 218937.i | −0.0409706 | + | 0.0297669i | ||||
\(559\) | 269145. | + | 828343.i | 0.0364298 | + | 0.112119i | ||||
\(560\) | 236528. | − | 49844.6i | 0.0318723 | − | 0.00671658i | ||||
\(561\) | −836918. | + | 2.57577e6i | −0.112273 | + | 0.345541i | ||||
\(562\) | 527413. | + | 1.62321e6i | 0.0704385 | + | 0.216787i | ||||
\(563\) | 4.06727e6 | + | 1.25178e7i | 0.540794 | + | 1.66439i | 0.730786 | + | 0.682606i | \(0.239154\pi\) |
−0.189992 | + | 0.981786i | \(0.560846\pi\) | |||||||
\(564\) | −391792. | + | 1.20581e6i | −0.0518630 | + | 0.159618i | ||||
\(565\) | 5.56703e6 | − | 1.17316e6i | 0.733673 | − | 0.154610i | ||||
\(566\) | 220579. | + | 678873.i | 0.0289417 | + | 0.0890733i | ||||
\(567\) | 103358. | − | 75093.9i | 0.0135016 | − | 0.00980950i | ||||
\(568\) | −3.67861e6 | −0.478424 | ||||||||
\(569\) | 7.58893e6 | − | 5.51368e6i | 0.982652 | − | 0.713938i | 0.0243521 | − | 0.999703i | \(-0.492248\pi\) |
0.958300 | + | 0.285765i | \(0.0922477\pi\) | |||||||
\(570\) | 1.11968e6 | + | 500855.i | 0.144346 | + | 0.0645691i | ||||
\(571\) | 5.49114e6 | + | 3.98954e6i | 0.704810 | + | 0.512074i | 0.881495 | − | 0.472193i | \(-0.156537\pi\) |
−0.176685 | + | 0.984267i | \(0.556537\pi\) | |||||||
\(572\) | 3.47090e6 | + | 2.52175e6i | 0.443559 | + | 0.322265i | ||||
\(573\) | 1.00645e6 | − | 3.09754e6i | 0.128058 | − | 0.394122i | ||||
\(574\) | −644746. | −0.0816787 | ||||||||
\(575\) | −2.25005e6 | + | 3.86600e6i | −0.283807 | + | 0.487632i | ||||
\(576\) | −670773. | −0.0842402 | ||||||||
\(577\) | −4.16497e6 | + | 1.28185e7i | −0.520802 | + | 1.60286i | 0.251669 | + | 0.967813i | \(0.419021\pi\) |
−0.772471 | + | 0.635050i | \(0.780979\pi\) | |||||||
\(578\) | −3.45910e6 | − | 2.51318e6i | −0.430669 | − | 0.312899i | ||||
\(579\) | 4.46044e6 | + | 3.24070e6i | 0.552945 | + | 0.401738i | ||||
\(580\) | −6.92154e6 | + | 1.45860e6i | −0.854343 | + | 0.180039i | ||||
\(581\) | −643138. | + | 467267.i | −0.0790431 | + | 0.0574282i | ||||
\(582\) | 764315. | 0.0935330 | ||||||||
\(583\) | 4.24201e6 | − | 3.08200e6i | 0.516892 | − | 0.375544i | ||||
\(584\) | −1.10159e6 | − | 3.39034e6i | −0.133656 | − | 0.411349i | ||||
\(585\) | −2.38252e6 | − | 4.14333e6i | −0.287838 | − | 0.500564i | ||||
\(586\) | −204102. | + | 628161.i | −0.0245529 | + | 0.0755660i | ||||
\(587\) | 2.14573e6 | + | 6.60389e6i | 0.257028 | + | 0.791051i | 0.993423 | + | 0.114499i | \(0.0365264\pi\) |
−0.736395 | + | 0.676552i | \(0.763474\pi\) | |||||||
\(588\) | −727145. | − | 2.23792e6i | −0.0867317 | − | 0.266933i | ||||
\(589\) | −108283. | + | 333259.i | −0.0128609 | + | 0.0395817i | ||||
\(590\) | −184638. | + | 1.72772e6i | −0.0218369 | + | 0.204336i | ||||
\(591\) | −1.71091e6 | − | 5.26564e6i | −0.201492 | − | 0.620129i | ||||
\(592\) | −1.94936e6 | + | 1.41629e6i | −0.228606 | + | 0.166092i | ||||
\(593\) | −1.09158e7 | −1.27474 | −0.637369 | − | 0.770559i | \(-0.719977\pi\) | ||||
−0.637369 | + | 0.770559i | \(0.719977\pi\) | |||||||
\(594\) | −6.01791e6 | + | 4.37227e6i | −0.699809 | + | 0.508441i | ||||
\(595\) | −278835. | − | 484908.i | −0.0322891 | − | 0.0561522i | ||||
\(596\) | −4.67302e6 | − | 3.39515e6i | −0.538868 | − | 0.391510i | ||||
\(597\) | −4.40828e6 | − | 3.20280e6i | −0.506213 | − | 0.367786i | ||||
\(598\) | 923726. | − | 2.84294e6i | 0.105631 | − | 0.325098i | ||||
\(599\) | −5.98857e6 | −0.681955 | −0.340978 | − | 0.940071i | \(-0.610758\pi\) | ||||
−0.340978 | + | 0.940071i | \(0.610758\pi\) | |||||||
\(600\) | 1.74010e6 | + | 376219.i | 0.197331 | + | 0.0426640i | ||||
\(601\) | 6.79095e6 | 0.766910 | 0.383455 | − | 0.923560i | \(-0.374734\pi\) | ||||
0.383455 | + | 0.923560i | \(0.374734\pi\) | |||||||
\(602\) | −34830.4 | + | 107197.i | −0.00391712 | + | 0.0120557i | ||||
\(603\) | 6.04360e6 | + | 4.39093e6i | 0.676865 | + | 0.491771i | ||||
\(604\) | −5.21811e6 | − | 3.79118e6i | −0.581997 | − | 0.422845i | ||||
\(605\) | 3.85015e6 | − | 4.26105e6i | 0.427651 | − | 0.473291i | ||||
\(606\) | −3.61574e6 | + | 2.62699e6i | −0.399959 | + | 0.290587i | ||||
\(607\) | 8.98882e6 | 0.990219 | 0.495109 | − | 0.868831i | \(-0.335128\pi\) | ||||
0.495109 | + | 0.868831i | \(0.335128\pi\) | |||||||
\(608\) | −510516. | + | 370912.i | −0.0560080 | + | 0.0406922i | ||||
\(609\) | −367446. | − | 1.13088e6i | −0.0401467 | − | 0.123559i | ||||
\(610\) | −8.23839e6 | + | 9.11762e6i | −0.896432 | + | 0.992104i | ||||
\(611\) | 1.43619e6 | − | 4.42015e6i | 0.155636 | − | 0.478998i | ||||
\(612\) | 479658. | + | 1.47624e6i | 0.0517670 | + | 0.159322i | ||||
\(613\) | 2.19871e6 | + | 6.76693e6i | 0.236329 | + | 0.727345i | 0.996942 | + | 0.0781402i | \(0.0248982\pi\) |
−0.760614 | + | 0.649205i | \(0.775102\pi\) | |||||||
\(614\) | 3.80144e6 | − | 1.16996e7i | 0.406937 | − | 1.25242i | ||||
\(615\) | −4.33468e6 | − | 1.93899e6i | −0.462135 | − | 0.206722i | ||||
\(616\) | 171569. | + | 528035.i | 0.0182174 | + | 0.0560674i | ||||
\(617\) | −6.89367e6 | + | 5.00854e6i | −0.729016 | + | 0.529661i | −0.889252 | − | 0.457417i | \(-0.848775\pi\) |
0.160236 | + | 0.987079i | \(0.448775\pi\) | |||||||
\(618\) | 6.48309e6 | 0.682827 | ||||||||
\(619\) | −4.80501e6 | + | 3.49104e6i | −0.504043 | + | 0.366209i | −0.810559 | − | 0.585657i | \(-0.800837\pi\) |
0.306516 | + | 0.951865i | \(0.400837\pi\) | |||||||
\(620\) | −54044.4 | + | 505712.i | −0.00564640 | + | 0.0528353i | ||||
\(621\) | 4.19298e6 | + | 3.04638e6i | 0.436308 | + | 0.316997i | ||||
\(622\) | 8.89172e6 | + | 6.46021e6i | 0.921531 | + | 0.669531i | ||||
\(623\) | 165687. | − | 509933.i | 0.0171029 | − | 0.0526372i | ||||
\(624\) | −1.18972e6 | −0.122316 | ||||||||
\(625\) | 8.89341e6 | + | 4.03418e6i | 0.910686 | + | 0.413100i | ||||
\(626\) | 5.17851e6 | 0.528165 | ||||||||
\(627\) | −870605. | + | 2.67945e6i | −0.0884407 | + | 0.272193i | ||||
\(628\) | 3.70468e6 | + | 2.69161e6i | 0.374845 | + | 0.272341i | ||||
\(629\) | 4.51093e6 | + | 3.27738e6i | 0.454610 | + | 0.330294i | ||||
\(630\) | 65725.8 | − | 615018.i | 0.00659758 | − | 0.0617357i | ||||
\(631\) | 5.30615e6 | − | 3.85514e6i | 0.530525 | − | 0.385449i | −0.290029 | − | 0.957018i | \(-0.593665\pi\) |
0.820554 | + | 0.571569i | \(0.193665\pi\) | |||||||
\(632\) | 5.49189e6 | 0.546927 | ||||||||
\(633\) | 388626. | − | 282353.i | 0.0385498 | − | 0.0280081i | ||||
\(634\) | 136981. | + | 421585.i | 0.0135344 | + | 0.0416545i | ||||
\(635\) | 3.18580e6 | + | 1.42507e6i | 0.313534 | + | 0.140250i | ||||
\(636\) | −449322. | + | 1.38287e6i | −0.0440468 | + | 0.135562i | ||||
\(637\) | 2.66550e6 | + | 8.20356e6i | 0.260273 | + | 0.801039i | ||||
\(638\) | −5.02062e6 | − | 1.54519e7i | −0.488322 | − | 1.50290i | ||||
\(639\) | −2.90872e6 | + | 8.95211e6i | −0.281806 | + | 0.867308i | ||||
\(640\) | −614039. | + | 679572.i | −0.0592578 | + | 0.0655821i | ||||
\(641\) | −3.35196e6 | − | 1.03163e7i | −0.322221 | − | 0.991694i | −0.972679 | − | 0.232152i | \(-0.925423\pi\) |
0.650459 | − | 0.759542i | \(-0.274577\pi\) | |||||||
\(642\) | −4.43000e6 | + | 3.21858e6i | −0.424195 | + | 0.308196i | ||||
\(643\) | 1.31460e7 | 1.25391 | 0.626957 | − | 0.779054i | \(-0.284300\pi\) | ||||
0.626957 | + | 0.779054i | \(0.284300\pi\) | |||||||
\(644\) | 312961. | − | 227380.i | 0.0297355 | − | 0.0216041i | ||||
\(645\) | −556547. | + | 615945.i | −0.0526748 | + | 0.0582965i | ||||
\(646\) | 1.18136e6 | + | 858310.i | 0.111379 | + | 0.0809213i | ||||
\(647\) | 4.96469e6 | + | 3.60706e6i | 0.466263 | + | 0.338760i | 0.795983 | − | 0.605319i | \(-0.206954\pi\) |
−0.329720 | + | 0.944079i | \(0.606954\pi\) | |||||||
\(648\) | −149587. | + | 460382.i | −0.0139945 | + | 0.0430706i | ||||
\(649\) | −3.99096e6 | −0.371934 | ||||||||
\(650\) | −6.37868e6 | − | 1.37911e6i | −0.592172 | − | 0.128031i | ||||
\(651\) | −85495.3 | −0.00790660 | ||||||||
\(652\) | 3.11043e6 | − | 9.57293e6i | 0.286551 | − | 0.881914i | ||||
\(653\) | −1.08472e7 | − | 7.88093e6i | −0.995482 | − | 0.723260i | −0.0343675 | − | 0.999409i | \(-0.510942\pi\) |
−0.961115 | + | 0.276149i | \(0.910942\pi\) | |||||||
\(654\) | −823457. | − | 598277.i | −0.0752829 | − | 0.0546963i | ||||
\(655\) | −827419. | − | 1.43892e6i | −0.0753567 | − | 0.131049i | ||||
\(656\) | 1.97639e6 | − | 1.43593e6i | 0.179314 | − | 0.130279i | ||||
\(657\) | −9.12162e6 | −0.824439 | ||||||||
\(658\) | 486586. | − | 353526.i | 0.0438122 | − | 0.0318314i | ||||
\(659\) | 257156. | + | 791446.i | 0.0230666 | + | 0.0709917i | 0.961927 | − | 0.273306i | \(-0.0881171\pi\) |
−0.938861 | + | 0.344298i | \(0.888117\pi\) | |||||||
\(660\) | −434524. | + | 4.06599e6i | −0.0388288 | + | 0.363334i | ||||
\(661\) | −715387. | + | 2.20173e6i | −0.0636850 | + | 0.196002i | −0.977836 | − | 0.209371i | \(-0.932858\pi\) |
0.914151 | + | 0.405373i | \(0.132858\pi\) | |||||||
\(662\) | 557478. | + | 1.71574e6i | 0.0494405 | + | 0.152162i | ||||
\(663\) | 850750. | + | 2.61834e6i | 0.0751654 | + | 0.231335i | ||||
\(664\) | 930798. | − | 2.86470e6i | 0.0819286 | − | 0.252150i | ||||
\(665\) | −290059. | − | 504426.i | −0.0254350 | − | 0.0442327i | ||||
\(666\) | 1.90525e6 | + | 5.86376e6i | 0.166443 | + | 0.512260i | ||||
\(667\) | −9.15819e6 | + | 6.65381e6i | −0.797067 | + | 0.579103i | ||||
\(668\) | 1.22781e6 | 0.106461 | ||||||||
\(669\) | −722343. | + | 524813.i | −0.0623991 | + | 0.0453356i | ||||
\(670\) | 9.98095e6 | − | 2.10333e6i | 0.858984 | − | 0.181017i | ||||
\(671\) | −2.28342e7 | − | 1.65901e7i | −1.95785 | − | 1.42246i | ||||
\(672\) | −124559. | − | 90497.5i | −0.0106403 | − | 0.00773060i | ||||
\(673\) | 5.44341e6 | − | 1.67531e7i | 0.463270 | − | 1.42580i | −0.397876 | − | 0.917439i | \(-0.630253\pi\) |
0.861146 | − | 0.508358i | \(-0.169747\pi\) | |||||||
\(674\) | 1.59247e6 | 0.135027 | ||||||||
\(675\) | 5.69166e6 | − | 9.77931e6i | 0.480817 | − | 0.826131i | ||||
\(676\) | −1.57952e6 | −0.132941 | ||||||||
\(677\) | 2.04533e6 | − | 6.29487e6i | 0.171511 | − | 0.527855i | −0.827946 | − | 0.560807i | \(-0.810491\pi\) |
0.999457 | + | 0.0329520i | \(0.0104908\pi\) | |||||||
\(678\) | −2.93167e6 | − | 2.12999e6i | −0.244930 | − | 0.177952i | ||||
\(679\) | −293332. | − | 213118.i | −0.0244166 | − | 0.0177397i | ||||
\(680\) | 1.93469e6 | + | 865425.i | 0.160450 | + | 0.0717724i | ||||
\(681\) | −7.80967e6 | + | 5.67406e6i | −0.645305 | + | 0.468842i | ||||
\(682\) | −1.16817e6 | −0.0961714 | ||||||||
\(683\) | −9.43175e6 | + | 6.85257e6i | −0.773643 | + | 0.562085i | −0.903064 | − | 0.429505i | \(-0.858688\pi\) |
0.129421 | + | 0.991590i | \(0.458688\pi\) | |||||||
\(684\) | 498964. | + | 1.53565e6i | 0.0407783 | + | 0.125503i | ||||
\(685\) | 1.64659e7 | − | 3.46993e6i | 1.34079 | − | 0.282550i | ||||
\(686\) | −695848. | + | 2.14160e6i | −0.0564552 | + | 0.173751i | ||||
\(687\) | −3.20542e6 | − | 9.86527e6i | −0.259115 | − | 0.797475i | ||||
\(688\) | −131973. | − | 406171.i | −0.0106295 | − | 0.0327143i | ||||
\(689\) | 1.64708e6 | − | 5.06919e6i | 0.132180 | − | 0.406809i | ||||
\(690\) | 2.78787e6 | − | 587501.i | 0.222921 | − | 0.0469770i | ||||
\(691\) | −5.05220e6 | − | 1.55491e7i | −0.402518 | − | 1.23882i | −0.922950 | − | 0.384920i | \(-0.874229\pi\) |
0.520432 | − | 0.853903i | \(-0.325771\pi\) | |||||||
\(692\) | 5.56177e6 | − | 4.04086e6i | 0.441518 | − | 0.320781i | ||||
\(693\) | 1.42066e6 | 0.112372 | ||||||||
\(694\) | −1.38525e7 | + | 1.00644e7i | −1.09177 | + | 0.793216i | ||||
\(695\) | −3.33568e6 | − | 1.49212e6i | −0.261952 | − | 0.117176i | ||||
\(696\) | 3.64498e6 | + | 2.64823e6i | 0.285214 | + | 0.207220i | ||||
\(697\) | −4.57348e6 | − | 3.32283e6i | −0.356586 | − | 0.259075i | ||||
\(698\) | 2.80346e6 | − | 8.62817e6i | 0.217799 | − | 0.670317i | ||||
\(699\) | −4.21008e6 | −0.325910 | ||||||||
\(700\) | −562919. | − | 629588.i | −0.0434211 | − | 0.0485636i | ||||
\(701\) | 3.15730e6 | 0.242672 | 0.121336 | − | 0.992611i | \(-0.461282\pi\) | ||||
0.121336 | + | 0.992611i | \(0.461282\pi\) | |||||||
\(702\) | −2.33663e6 | + | 7.19140e6i | −0.178956 | + | 0.550770i | ||||
\(703\) | 4.69249e6 | + | 3.40930e6i | 0.358109 | + | 0.260182i | ||||
\(704\) | −1.70192e6 | − | 1.23652e6i | −0.129422 | − | 0.0940307i | ||||
\(705\) | 4.33454e6 | − | 913436.i | 0.328451 | − | 0.0692158i | ||||
\(706\) | 5.48797e6 | − | 3.98725e6i | 0.414381 | − | 0.301066i | ||||
\(707\) | 2.12016e6 | 0.159522 | ||||||||
\(708\) | 895359. | − | 650516.i | 0.0671296 | − | 0.0487725i | ||||
\(709\) | −1.38088e6 | − | 4.24992e6i | −0.103167 | − | 0.317516i | 0.886129 | − | 0.463439i | \(-0.153385\pi\) |
−0.989296 | + | 0.145923i | \(0.953385\pi\) | |||||||
\(710\) | 6.40684e6 | + | 1.11418e7i | 0.476978 | + | 0.829488i | ||||
\(711\) | 4.34250e6 | − | 1.33648e7i | 0.322156 | − | 0.991494i | ||||
\(712\) | 627791. | + | 1.93214e6i | 0.0464104 | + | 0.142837i | ||||
\(713\) | 251516. | + | 774087.i | 0.0185286 | + | 0.0570251i | ||||
\(714\) | −110097. | + | 338843.i | −0.00808218 | + | 0.0248744i | ||||
\(715\) | 1.59284e6 | − | 1.49047e7i | 0.116521 | − | 1.09033i | ||||
\(716\) | −3.23022e6 | − | 9.94159e6i | −0.235477 | − | 0.724725i | ||||
\(717\) | −1.15247e7 | + | 8.37317e6i | −0.837203 | + | 0.608264i | ||||
\(718\) | 1.62427e7 | 1.17584 | ||||||||
\(719\) | 6.14151e6 | − | 4.46207e6i | 0.443050 | − | 0.321895i | −0.343796 | − | 0.939045i | \(-0.611713\pi\) |
0.786846 | + | 0.617150i | \(0.211713\pi\) | |||||||
\(720\) | 1.16825e6 | + | 2.03164e6i | 0.0839855 | + | 0.146055i | ||||
\(721\) | −2.48810e6 | − | 1.80771e6i | −0.178250 | − | 0.129506i | ||||
\(722\) | −6.78391e6 | − | 4.92880e6i | −0.484325 | − | 0.351883i | ||||
\(723\) | 325127. | − | 1.00064e6i | 0.0231317 | − | 0.0711921i | ||||
\(724\) | 1.76620e6 | 0.125226 | ||||||||
\(725\) | 1.64727e7 | + | 1.84236e7i | 1.16391 | + | 1.30176i | ||||
\(726\) | −3.65785e6 | −0.257564 | ||||||||
\(727\) | 4.40017e6 | − | 1.35423e7i | 0.308769 | − | 0.950292i | −0.669476 | − | 0.742834i | \(-0.733481\pi\) |
0.978244 | − | 0.207458i | \(-0.0665189\pi\) | |||||||
\(728\) | 456597. | + | 331737.i | 0.0319304 | + | 0.0231988i | ||||
\(729\) | −5.33419e6 | − | 3.87551e6i | −0.371749 | − | 0.270091i | ||||
\(730\) | −8.35011e6 | + | 9.24127e6i | −0.579943 | + | 0.641837i | ||||
\(731\) | −799528. | + | 580891.i | −0.0553401 | + | 0.0402070i | ||||
\(732\) | 7.82692e6 | 0.539900 | ||||||||
\(733\) | 2.16307e7 | − | 1.57156e7i | 1.48700 | − | 1.08037i | 0.511778 | − | 0.859118i | \(-0.328987\pi\) |
0.975218 | − | 0.221248i | \(-0.0710129\pi\) | |||||||
\(734\) | 5.60922e6 | + | 1.72634e7i | 0.384293 | + | 1.18273i | ||||
\(735\) | −5.51182e6 | + | 6.10006e6i | −0.376336 | + | 0.416501i | ||||
\(736\) | −452941. | + | 1.39401e6i | −0.0308210 | + | 0.0948573i | ||||
\(737\) | 7.23981e6 | + | 2.22819e7i | 0.490974 | + | 1.51106i | ||||
\(738\) | −1.93167e6 | − | 5.94507e6i | −0.130555 | − | 0.401806i | ||||
\(739\) | −5.45632e6 | + | 1.67928e7i | −0.367527 | + | 1.13113i | 0.580857 | + | 0.814005i | \(0.302717\pi\) |
−0.948384 | + | 0.317125i | \(0.897283\pi\) | |||||||
\(740\) | 7.68478e6 | + | 3.43756e6i | 0.515884 | + | 0.230765i | ||||
\(741\) | 884993. | + | 2.72373e6i | 0.0592099 | + | 0.182229i | ||||
\(742\) | 558036. | − | 405437.i | 0.0372094 | − | 0.0270342i | ||||
\(743\) | 1.47880e6 | 0.0982737 | 0.0491368 | − | 0.998792i | \(-0.484353\pi\) | ||||
0.0491368 | + | 0.998792i | \(0.484353\pi\) | |||||||
\(744\) | 262075. | − | 190409.i | 0.0173578 | − | 0.0126112i | ||||
\(745\) | −2.14451e6 | + | 2.00669e7i | −0.141559 | + | 1.32461i | ||||
\(746\) | 232230. | + | 168725.i | 0.0152782 | + | 0.0111003i | ||||
\(747\) | −6.23543e6 | − | 4.53030e6i | −0.408851 | − | 0.297047i | ||||
\(748\) | −1.50432e6 | + | 4.62981e6i | −0.0983071 | + | 0.302558i | ||||
\(749\) | 2.59762e6 | 0.169188 | ||||||||
\(750\) | −1.89115e6 | − | 5.92567e6i | −0.122764 | − | 0.384666i | ||||
\(751\) | −1.60998e7 | −1.04165 | −0.520824 | − | 0.853664i | \(-0.674375\pi\) | ||||
−0.520824 | + | 0.853664i | \(0.674375\pi\) | |||||||
\(752\) | −704224. | + | 2.16738e6i | −0.0454116 | + | 0.139762i | ||||
\(753\) | 3.52300e6 | + | 2.55961e6i | 0.226426 | + | 0.164508i | ||||
\(754\) | −1.33614e7 | − | 9.70762e6i | −0.855901 | − | 0.621848i | ||||
\(755\) | −2.39465e6 | + | 2.24076e7i | −0.152888 | + | 1.43063i | ||||
\(756\) | −791656. | + | 575172.i | −0.0503770 | + | 0.0366010i | ||||
\(757\) | −2.65168e7 | −1.68183 | −0.840914 | − | 0.541168i | \(-0.817982\pi\) | ||||
−0.840914 | + | 0.541168i | \(0.817982\pi\) | |||||||
\(758\) | −7.85187e6 | + | 5.70472e6i | −0.496364 | + | 0.360629i | ||||
\(759\) | 2.02222e6 | + | 6.22375e6i | 0.127416 | + | 0.392146i | ||||
\(760\) | 2.01256e6 | + | 900259.i | 0.126391 | + | 0.0565371i | ||||
\(761\) | 4.98907e6 | − | 1.53548e7i | 0.312290 | − | 0.961130i | −0.664566 | − | 0.747230i | \(-0.731383\pi\) |
0.976856 | − | 0.213900i | \(-0.0686166\pi\) | |||||||
\(762\) | −686923. | − | 2.11413e6i | −0.0428569 | − | 0.131900i | ||||
\(763\) | 149209. | + | 459218.i | 0.00927862 | + | 0.0285567i | ||||
\(764\) | 1.80904e6 | − | 5.56766e6i | 0.112128 | − | 0.345096i | ||||
\(765\) | 3.63584e6 | − | 4.02388e6i | 0.224622 | − | 0.248594i | ||||
\(766\) | 6.06777e6 | + | 1.86747e7i | 0.373643 | + | 1.14996i | ||||
\(767\) | −3.28212e6 | + | 2.38460e6i | −0.201449 | + | 0.146362i | ||||
\(768\) | 583370. | 0.0356896 | ||||||||
\(769\) | 1.30116e7 | − | 9.45346e6i | 0.793440 | − | 0.576468i | −0.115542 | − | 0.993303i | \(-0.536861\pi\) |
0.908982 | + | 0.416835i | \(0.136861\pi\) | |||||||
\(770\) | 1.30050e6 | − | 1.43930e6i | 0.0790469 | − | 0.0874832i | ||||
\(771\) | −1.62152e6 | − | 1.17810e6i | −0.0982394 | − | 0.0713751i | ||||
\(772\) | 8.01740e6 | + | 5.82498e6i | 0.484162 | + | 0.351764i | ||||
\(773\) | −8.17027e6 | + | 2.51455e7i | −0.491799 | + | 1.51360i | 0.330087 | + | 0.943951i | \(0.392922\pi\) |
−0.821886 | + | 0.569652i | \(0.807078\pi\) | |||||||
\(774\) | −1.09279e6 | −0.0655670 | ||||||||
\(775\) | 1.62583e6 | − | 717082.i | 0.0972348 | − | 0.0428859i | ||||
\(776\) | 1.37381e6 | 0.0818981 | ||||||||
\(777\) | −437315. | + | 1.34592e6i | −0.0259861 | + | 0.0799771i | ||||
\(778\) | 1.41001e7 | + | 1.02443e7i | 0.835164 | + | 0.606782i | ||||
\(779\) | −4.75757e6 | − | 3.45657e6i | −0.280893 | − | 0.204081i | ||||
\(780\) | 2.07208e6 | + | 3.60344e6i | 0.121947 | + | 0.212071i | ||||
\(781\) | −2.38827e7 | + | 1.73518e7i | −1.40106 | + | 1.01793i | ||||
\(782\) | 3.39182e6 | 0.198343 | ||||||||
\(783\) | 2.31663e7 | − | 1.68313e7i | 1.35037 | − | 0.981099i | ||||
\(784\) | −1.30700e6 | − | 4.02255e6i | −0.0759428 | − | 0.233728i | ||||
\(785\) | 1.70012e6 | − | 1.59086e7i | 0.0984704 | − | 0.921421i | ||||
\(786\) | −326702. | + | 1.00548e6i | −0.0188623 | + | 0.0580523i | ||||
\(787\) | −3.15846e6 | − | 9.72074e6i | −0.181777 | − | 0.559451i | 0.818101 | − | 0.575074i | \(-0.195027\pi\) |
−0.999878 | + | 0.0156229i | \(0.995027\pi\) | |||||||
\(788\) | −3.07527e6 | − | 9.46470e6i | −0.176428 | − | 0.542989i | ||||
\(789\) | −3.67395e6 | + | 1.13073e7i | −0.210107 | + | 0.646644i | ||||
\(790\) | −9.56495e6 | − | 1.66339e7i | −0.545274 | − | 0.948258i | ||||
\(791\) | 531214. | + | 1.63491e6i | 0.0301876 | + | 0.0929078i | ||||
\(792\) | −4.35488e6 | + | 3.16400e6i | −0.246696 | + | 0.179235i | ||||
\(793\) | −2.86911e7 | −1.62019 | ||||||||
\(794\) | 7.17986e6 | − | 5.21648e6i | 0.404171 | − | 0.293647i | ||||
\(795\) | 4.97101e6 | − | 1.04756e6i | 0.278951 | − | 0.0587844i | ||||
\(796\) | −7.92365e6 | − | 5.75687e6i | −0.443244 | − | 0.322035i | ||||
\(797\) | 2.29781e7 | + | 1.66946e7i | 1.28135 | + | 0.930958i | 0.999593 | − | 0.0285266i | \(-0.00908154\pi\) |
0.281761 | + | 0.959485i | \(0.409082\pi\) | |||||||
\(798\) | −114528. | + | 352481.i | −0.00636656 | + | 0.0195943i | ||||
\(799\) | 5.27354e6 | 0.292237 | ||||||||
\(800\) | 3.12773e6 | + | 676232.i | 0.172784 | + | 0.0373569i | ||||
\(801\) | 5.19839e6 | 0.286277 | ||||||||
\(802\) | 513031. | − | 1.57895e6i | 0.0281649 | − | 0.0866826i | ||||
\(803\) | −2.31439e7 | − | 1.68150e7i | −1.26662 | − | 0.920257i | ||||
\(804\) | −5.25611e6 | − | 3.81879e6i | −0.286764 | − | 0.208346i | ||||
\(805\) | −1.23376e6 | − | 551885.i | −0.0671027 | − | 0.0300164i | ||||
\(806\) | −960690. | + | 697982.i | −0.0520890 | + | 0.0378449i | ||||
\(807\) | 5.40492e6 | 0.292150 | ||||||||
\(808\) | −6.49909e6 | + | 4.72187e6i | −0.350207 | + | 0.254440i | ||||
\(809\) | 1.07447e7 | + | 3.30688e7i | 0.577196 | + | 1.77643i | 0.628578 | + | 0.777747i | \(0.283637\pi\) |
−0.0513817 | + | 0.998679i | \(0.516363\pi\) | |||||||
\(810\) | 1.65494e6 | − | 348752.i | 0.0886277 | − | 0.0186769i | ||||
\(811\) | −931001. | + | 2.86533e6i | −0.0497048 | + | 0.152976i | −0.972828 | − | 0.231528i | \(-0.925627\pi\) |
0.923123 | + | 0.384504i | \(0.125627\pi\) | |||||||
\(812\) | −660463. | − | 2.03270e6i | −0.0351527 | − | 0.108189i | ||||
\(813\) | 5.22634e6 | + | 1.60850e7i | 0.277314 | + | 0.853484i | ||||
\(814\) | −5.97529e6 | + | 1.83901e7i | −0.316081 | + | 0.972797i | ||||
\(815\) | −3.44119e7 | + | 7.25176e6i | −1.81474 | + | 0.382428i | ||||
\(816\) | −417158. | − | 1.28388e6i | −0.0219318 | − | 0.0674993i | ||||
\(817\) | −831709. | + | 604272.i | −0.0435930 | + | 0.0316721i | ||||
\(818\) | 1.47624e7 | 0.771388 | ||||||||
\(819\) | 1.16834e6 | − | 848846.i | 0.0608637 | − | 0.0442201i | ||||
\(820\) | −7.79134e6 | − | 3.48523e6i | −0.404648 | − | 0.181007i | ||||
\(821\) | −5.50752e6 | − | 4.00145e6i | −0.285166 | − | 0.207185i | 0.436001 | − | 0.899946i | \(-0.356394\pi\) |
−0.721168 | + | 0.692761i | \(0.756394\pi\) | |||||||
\(822\) | −8.67118e6 | − | 6.29998e6i | −0.447609 | − | 0.325207i | ||||
\(823\) | 414188. | − | 1.27474e6i | 0.0213156 | − | 0.0656028i | −0.939833 | − | 0.341635i | \(-0.889019\pi\) |
0.961149 | + | 0.276032i | \(0.0890195\pi\) | |||||||
\(824\) | 1.16530e7 | 0.597887 | ||||||||
\(825\) | 1.30719e7 | − | 5.76543e6i | 0.668657 | − | 0.294915i | ||||
\(826\) | −525011. | −0.0267743 | ||||||||
\(827\) | 7.10278e6 | − | 2.18601e7i | 0.361131 | − | 1.11145i | −0.591238 | − | 0.806497i | \(-0.701361\pi\) |
0.952369 | − | 0.304949i | \(-0.0986394\pi\) | |||||||
\(828\) | 3.03426e6 | + | 2.20452e6i | 0.153807 | + | 0.111747i | ||||
\(829\) | −2.22988e7 | − | 1.62010e7i | −1.12693 | − | 0.818760i | −0.141681 | − | 0.989912i | \(-0.545251\pi\) |
−0.985245 | + | 0.171153i | \(0.945251\pi\) | |||||||
\(830\) | −1.02978e7 | + | 2.17009e6i | −0.518857 | + | 0.109341i | ||||
\(831\) | 1.53945e7 | − | 1.11848e7i | 0.773326 | − | 0.561855i | ||||
\(832\) | −2.13846e6 | −0.107101 | ||||||||
\(833\) | −7.91819e6 | + | 5.75290e6i | −0.395379 | + | 0.287260i | ||||
\(834\) | 719239. | + | 2.21359e6i | 0.0358062 | + | 0.110200i | ||||
\(835\) | −2.13841e6 | − | 3.71879e6i | −0.106139 | − | 0.184580i | ||||
\(836\) | −1.56486e6 | + | 4.81616e6i | −0.0774392 | + | 0.238333i | ||||
\(837\) | −636227. | − | 1.95811e6i | −0.0313905 | − | 0.0966101i | ||||
\(838\) | −6.90673e6 | − | 2.12567e7i | −0.339752 | − | 1.04565i | ||||
\(839\) | 2.36854e6 | − | 7.28961e6i | 0.116165 | − | 0.357519i | −0.876023 | − | 0.482269i | \(-0.839813\pi\) |
0.992188 | + | 0.124750i | \(0.0398128\pi\) | |||||||
\(840\) | −57161.6 | + | 534881.i | −0.00279516 | + | 0.0261552i | ||||
\(841\) | 1.29889e7 | + | 3.99756e7i | 0.633258 | + | 1.94897i | ||||
\(842\) | −1.34272e7 | + | 9.75540e6i | −0.652686 | + | 0.474204i | ||||
\(843\) | −3.79816e6 | −0.184079 | ||||||||
\(844\) | 698533. | − | 507514.i | 0.0337544 | − | 0.0245240i | ||||
\(845\) | 2.75097e6 | + | 4.78406e6i | 0.132539 | + | 0.230492i | ||||
\(846\) | 4.71761e6 | + | 3.42754e6i | 0.226619 | + | 0.164648i | ||||
\(847\) | 1.40382e6 | + | 1.01994e6i | 0.0672364 | + | 0.0488501i | ||||
\(848\) | −807632. | + | 2.48563e6i | −0.0385677 | + | 0.118699i | ||||
\(849\) | −1.58850e6 | −0.0756341 | ||||||||
\(850\) | −748337. | − | 7.36707e6i | −0.0355263 | − | 0.349742i | ||||
\(851\) | 1.34727e7 | 0.637719 | ||||||||
\(852\) | 2.52971e6 | − | 7.78564e6i | 0.119391 | − | 0.367448i | ||||
\(853\) | −5.64819e6 | − | 4.10365e6i | −0.265789 | − | 0.193107i | 0.446906 | − | 0.894581i | \(-0.352526\pi\) |
−0.712695 | + | 0.701474i | \(0.752526\pi\) | |||||||
\(854\) | −3.00384e6 | − | 2.18242e6i | −0.140940 | − | 0.102399i | ||||
\(855\) | 3.78219e6 | − | 4.18584e6i | 0.176941 | − | 0.195825i | ||||
\(856\) | −7.96267e6 | + | 5.78522e6i | −0.371428 | + | 0.269858i | ||||
\(857\) | 2.99029e7 | 1.39079 | 0.695394 | − | 0.718629i | \(-0.255230\pi\) | ||||
0.695394 | + | 0.718629i | \(0.255230\pi\) | |||||||
\(858\) | −7.72407e6 | + | 5.61186e6i | −0.358202 | + | 0.260249i | ||||
\(859\) | −9.23253e6 | − | 2.84148e7i | −0.426912 | − | 1.31390i | −0.901152 | − | 0.433503i | \(-0.857277\pi\) |
0.474240 | − | 0.880395i | \(-0.342723\pi\) | |||||||
\(860\) | −1.00036e6 | + | 1.10713e6i | −0.0461224 | + | 0.0510448i | ||||
\(861\) | 443379. | − | 1.36458e6i | 0.0203830 | − | 0.0627324i | ||||
\(862\) | −1.93376e6 | − | 5.95151e6i | −0.0886410 | − | 0.272809i | ||||
\(863\) | 6.97915e6 | + | 2.14796e7i | 0.318989 | + | 0.981746i | 0.974081 | + | 0.226198i | \(0.0726295\pi\) |
−0.655093 | + | 0.755548i | \(0.727370\pi\) | |||||||
\(864\) | 1.14574e6 | − | 3.52624e6i | 0.0522160 | − | 0.160704i | ||||
\(865\) | −2.19257e7 | − | 9.80779e6i | −0.996351 | − | 0.445688i | ||||
\(866\) | −402784. | − | 1.23964e6i | −0.0182506 | − | 0.0561696i | ||||
\(867\) | 7.69782e6 | − | 5.59279e6i | 0.347792 | − | 0.252686i | ||||
\(868\) | −153673. | −0.00692307 | ||||||||
\(869\) | 3.56552e7 | − | 2.59050e7i | 1.60167 | − | 1.16368i | ||||
\(870\) | 1.67272e6 | − | 1.56522e7i | 0.0749248 | − | 0.701097i | ||||
\(871\) | 1.92673e7 | + | 1.39985e7i | 0.860550 | + | 0.625226i | ||||
\(872\) | −1.48012e6 | − | 1.07537e6i | −0.0659182 | − | 0.0478924i | ||||
\(873\) | 1.08629e6 | − | 3.34326e6i | 0.0482403 | − | 0.148469i | ||||
\(874\) | 3.52834e6 | 0.156240 | ||||||||
\(875\) | −926495. | + | 2.80150e6i | −0.0409094 | + | 0.123700i | ||||
\(876\) | 7.93306e6 | 0.349286 | ||||||||
\(877\) | −200629. | + | 617472.i | −0.00880835 | + | 0.0271093i | −0.955364 | − | 0.295431i | \(-0.904537\pi\) |
0.946556 | + | 0.322540i | \(0.104537\pi\) | |||||||
\(878\) | −3.76910e6 | − | 2.73841e6i | −0.165007 | − | 0.119884i | ||||
\(879\) | −1.18912e6 | − | 863948.i | −0.0519104 | − | 0.0377151i | ||||
\(880\) | −781033. | + | 7.30839e6i | −0.0339987 | + | 0.318138i | ||||
\(881\) | 1.35066e7 | − | 9.81310e6i | 0.586281 | − | 0.425958i | −0.254702 | − | 0.967020i | \(-0.581977\pi\) |
0.840983 | + | 0.541062i | \(0.181977\pi\) | |||||||
\(882\) | −1.08226e7 | −0.468445 | ||||||||
\(883\) | 2.29791e7 | − | 1.66953e7i | 0.991818 | − | 0.720598i | 0.0314998 | − | 0.999504i | \(-0.489972\pi\) |
0.960319 | + | 0.278906i | \(0.0899716\pi\) | |||||||
\(884\) | 1.52918e6 | + | 4.70632e6i | 0.0658153 | + | 0.202559i | ||||
\(885\) | −3.52969e6 | − | 1.57890e6i | −0.151488 | − | 0.0677637i | ||||
\(886\) | 7.50871e6 | − | 2.31094e7i | 0.321352 | − | 0.989019i | ||||
\(887\) | 6.79384e6 | + | 2.09093e7i | 0.289939 | + | 0.892339i | 0.984875 | + | 0.173268i | \(0.0554326\pi\) |
−0.694936 | + | 0.719071i | \(0.744567\pi\) | |||||||
\(888\) | −1.65699e6 | − | 5.09970e6i | −0.0705161 | − | 0.217026i | ||||
\(889\) | −325864. | + | 1.00291e6i | −0.0138287 | + | 0.0425605i | ||||
\(890\) | 4.75870e6 | − | 5.26657e6i | 0.201379 | − | 0.222871i | ||||
\(891\) | 1.20043e6 | + | 3.69455e6i | 0.0506574 | + | 0.155907i | ||||
\(892\) | −1.29837e6 | + | 943323.i | −0.0546371 | + | 0.0396961i | ||||
\(893\) | 5.48581e6 | 0.230203 | ||||||||
\(894\) | 1.03993e7 | − | 7.55550e6i | 0.435170 | − | 0.316169i | ||||
\(895\) | −2.44853e7 | + | 2.70985e7i | −1.02176 | + | 1.13080i | ||||
\(896\) | −223888. | − | 162664.i | −0.00931668 | − | 0.00676896i | ||||
\(897\) | 5.38174e6 | + | 3.91006e6i | 0.223327 | + | 0.162257i | ||||
\(898\) | −6.44221e6 | + | 1.98271e7i | −0.266590 | + | 0.820480i | ||||
\(899\) | 4.49694e6 | 0.185574 | ||||||||
\(900\) | 4.11878e6 | − | 7.07682e6i | 0.169497 | − | 0.291227i | ||||
\(901\) | 6.04790e6 | 0.248195 | ||||||||
\(902\) | 6.05815e6 | − | 1.86451e7i | 0.247927 | − | 0.763041i | ||||
\(903\) | −202926. | − | 147434.i | −0.00828168 | − | 0.00601699i | ||||
\(904\) | −5.26952e6 | − | 3.82853e6i | −0.214462 | − | 0.155816i | ||||
\(905\) | −3.07611e6 | − | 5.34950e6i | −0.124848 | − | 0.217116i | ||||
\(906\) | 1.16123e7 | − | 8.43681e6i | 0.469999 | − | 0.341474i | ||||
\(907\) | 1.03369e7 | 0.417227 | 0.208613 | − | 0.977998i | \(-0.433105\pi\) | ||||
0.208613 | + | 0.977998i | \(0.433105\pi\) | |||||||
\(908\) | −1.40375e7 | + | 1.01988e7i | −0.565033 | + | 0.410521i | ||||
\(909\) | 6.35204e6 | + | 1.95496e7i | 0.254978 | + | 0.784743i | ||||
\(910\) | 209538. | − | 1.96071e6i | 0.00838800 | − | 0.0784893i | ||||
\(911\) | 770915. | − | 2.37263e6i | 0.0307759 | − | 0.0947185i | −0.934489 | − | 0.355993i | \(-0.884143\pi\) |
0.965265 | + | 0.261274i | \(0.0841427\pi\) | |||||||
\(912\) | −433949. | − | 1.33556e6i | −0.0172763 | − | 0.0531711i | ||||
\(913\) | −7.46962e6 | − | 2.29891e7i | −0.296566 | − | 0.912736i | ||||
\(914\) | 6.62639e6 | − | 2.03939e7i | 0.262368 | − | 0.807487i | ||||
\(915\) | −1.36317e7 | − | 2.37062e7i | −0.538268 | − | 0.936074i | ||||
\(916\) | −5.76157e6 | − | 1.77323e7i | −0.226883 | − | 0.698274i | ||||
\(917\) | 405748. | − | 294793.i | 0.0159343 | − | 0.0115769i | ||||
\(918\) | −8.57985e6 | −0.336026 | ||||||||
\(919\) | 2.06836e7 | − | 1.50275e7i | 0.807861 | − | 0.586946i | −0.105349 | − | 0.994435i | \(-0.533596\pi\) |
0.913210 | + | 0.407490i | \(0.133596\pi\) | |||||||
\(920\) | 5.01105e6 | − | 1.05600e6i | 0.195191 | − | 0.0411334i | ||||
\(921\) | 2.21476e7 | + | 1.60912e7i | 0.860356 | + | 0.625085i | ||||
\(922\) | 3.69691e6 | + | 2.68596e6i | 0.143223 | + | 0.104057i | ||||
\(923\) | −9.27316e6 | + | 2.85398e7i | −0.358281 | + | 1.10267i | ||||
\(924\) | −1.23555e6 | −0.0476081 | ||||||||
\(925\) | −2.97247e6 | − | 2.92628e7i | −0.114226 | − | 1.12450i | ||||
\(926\) | −1.39373e7 | −0.534136 | ||||||||
\(927\) | 9.21415e6 | − | 2.83582e7i | 0.352173 | − | 1.08388i | ||||
\(928\) | 6.55165e6 | + | 4.76005e6i | 0.249736 | + | 0.181444i | ||||
\(929\) | −1.90227e7 | − | 1.38208e7i | −0.723158 | − | 0.525405i | 0.164234 | − | 0.986421i | \(-0.447485\pi\) |
−0.887391 | + | 0.461017i | \(0.847485\pi\) | |||||||
\(930\) | −1.03316e6 | − | 462151.i | −0.0391704 | − | 0.0175217i | ||||
\(931\) | −8.23691e6 | + | 5.98446e6i | −0.311451 | + | 0.226282i | ||||
\(932\) | −7.56738e6 | −0.285368 | ||||||||
\(933\) | −1.97875e7 | + | 1.43764e7i | −0.744194 | + | 0.540688i | ||||
\(934\) | 9.17257e6 | + | 2.82303e7i | 0.344052 | + | 1.05888i | ||||
\(935\) | 1.66428e7 | − | 3.50721e6i | 0.622583 | − | 0.131200i | ||||
\(936\) | −1.69091e6 | + | 5.20407e6i | −0.0630855 | + | 0.194157i | ||||
\(937\) | −312690. | − | 962361.i | −0.0116350 | − | 0.0358088i | 0.945070 | − | 0.326867i | \(-0.105993\pi\) |
−0.956705 | + | 0.291058i | \(0.905993\pi\) | |||||||
\(938\) | 952397. | + | 2.93118e6i | 0.0353436 | + | 0.108776i | ||||
\(939\) | −3.56116e6 | + | 1.09601e7i | −0.131804 | + | 0.405650i | ||||
\(940\) | 7.79109e6 | − | 1.64185e6i | 0.287593 | − | 0.0606058i | ||||
\(941\) | 5.56408e6 | + | 1.71245e7i | 0.204842 | + | 0.630439i | 0.999720 | + | 0.0236693i | \(0.00753488\pi\) |
−0.794878 | + | 0.606769i | \(0.792465\pi\) | |||||||
\(942\) | −8.24432e6 | + | 5.98985e6i | −0.302711 | + | 0.219932i | ||||
\(943\) | −1.36595e7 | −0.500213 | ||||||||
\(944\) | 1.60936e6 | − | 1.16927e6i | 0.0587791 | − | 0.0427055i | ||||
\(945\) | 3.12087e6 | + | 1.39603e6i | 0.113683 | + | 0.0508528i | ||||
\(946\) | −2.77270e6 | − | 2.01448e6i | −0.100734 | − | 0.0731873i | ||||
\(947\) | −3.05159e7 | − | 2.21711e7i | −1.10574 | − | 0.803365i | −0.123750 | − | 0.992313i | \(-0.539492\pi\) |
−0.981987 | + | 0.188949i | \(0.939492\pi\) | |||||||
\(948\) | −3.77667e6 | + | 1.16234e7i | −0.136486 | + | 0.420061i | ||||
\(949\) | −2.90802e7 | −1.04817 | ||||||||
\(950\) | −778458. | − | 7.66360e6i | −0.0279850 | − | 0.275501i | ||||
\(951\) | −986468. | −0.0353697 | ||||||||
\(952\) | −197893. | + | 609051.i | −0.00707681 | + | 0.0217802i | ||||
\(953\) | −7.15157e6 | − | 5.19592e6i | −0.255076 | − | 0.185323i | 0.452898 | − | 0.891563i | \(-0.350390\pi\) |
−0.707973 | + | 0.706239i | \(0.750390\pi\) | |||||||
\(954\) | 5.41033e6 | + | 3.93084e6i | 0.192466 | + | 0.139834i | ||||
\(955\) | −2.00141e7 | + | 4.21766e6i | −0.710114 | + | 0.149645i | ||||
\(956\) | −2.07150e7 | + | 1.50503e7i | −0.733060 | + | 0.532599i | ||||
\(957\) | 3.61559e7 | 1.27614 | ||||||||
\(958\) | −2.64630e7 | + | 1.92265e7i | −0.931592 | + | 0.676842i | ||||
\(959\) | 1.57120e6 | + | 4.83566e6i | 0.0551678 | + | 0.169789i | ||||
\(960\) | −1.01603e6 | − | 1.76692e6i | −0.0355817 | − | 0.0618783i | ||||
\(961\) | −8.74698e6 | + | 2.69204e7i | −0.305527 | + | 0.940315i | ||||
\(962\) | 6.07405e6 | + | 1.86940e7i | 0.211612 | + | 0.651275i | ||||
\(963\) | 7.78250e6 | + | 2.39521e7i | 0.270429 | + | 0.832295i | ||||
\(964\) | 584398. | − | 1.79859e6i | 0.0202543 | − | 0.0623362i | ||||
\(965\) | 3.67928e6 | − | 3.44283e7i | 0.127188 | − | 1.19014i | ||||
\(966\) | 266023. | + | 818735.i | 0.00917226 | + | 0.0282293i | ||||
\(967\) | −2.97462e7 | + | 2.16119e7i | −1.02297 | + | 0.743235i | −0.966891 | − | 0.255191i | \(-0.917862\pi\) |
−0.0560841 | + | 0.998426i | \(0.517862\pi\) | |||||||
\(968\) | −6.57479e6 | −0.225524 | ||||||||
\(969\) | −2.62898e6 | + | 1.91007e6i | −0.0899452 | + | 0.0653490i | ||||
\(970\) | −2.39270e6 | − | 4.16102e6i | −0.0816506 | − | 0.141994i | ||||
\(971\) | 652637. | + | 474168.i | 0.0222138 | + | 0.0161393i | 0.598837 | − | 0.800871i | \(-0.295630\pi\) |
−0.576623 | + | 0.817010i | \(0.695630\pi\) | |||||||
\(972\) | −1.22606e7 | − | 8.90786e6i | −0.416243 | − | 0.302418i | ||||
\(973\) | 341195. | − | 1.05009e6i | 0.0115537 | − | 0.0355586i | ||||
\(974\) | 2.98365e7 | 1.00774 | ||||||||
\(975\) | 7.30532e6 | − | 1.25519e7i | 0.246109 | − | 0.422860i | ||||
\(976\) | 1.40685e7 | 0.472739 | ||||||||
\(977\) | 1.07937e7 | − | 3.32196e7i | 0.361771 | − | 1.11342i | −0.590208 | − | 0.807251i | \(-0.700954\pi\) |
0.951979 | − | 0.306165i | \(-0.0990458\pi\) | |||||||
\(978\) | 1.81218e7 | + | 1.31662e7i | 0.605834 | + | 0.440164i | ||||
\(979\) | 1.31896e7 | + | 9.58284e6i | 0.439822 | + | 0.319549i | ||||
\(980\) | −9.90719e6 | + | 1.09645e7i | −0.329523 | + | 0.364691i | ||||
\(981\) | −3.78732e6 | + | 2.75165e6i | −0.125649 | + | 0.0912895i | ||||
\(982\) | 1.52115e7 | 0.503377 | ||||||||
\(983\) | −5.38823e6 | + | 3.91478e6i | −0.177853 | + | 0.129218i | −0.673150 | − | 0.739506i | \(-0.735059\pi\) |
0.495297 | + | 0.868724i | \(0.335059\pi\) | |||||||
\(984\) | 1.67997e6 | + | 5.17042e6i | 0.0553113 | + | 0.170231i | ||||
\(985\) | −2.33107e7 | + | 2.57986e7i | −0.765536 | + | 0.847237i | ||||
\(986\) | 5.79094e6 | − | 1.78227e7i | 0.189695 | − | 0.583822i | ||||
\(987\) | 413608. | + | 1.27295e6i | 0.0135144 | + | 0.0415930i | ||||
\(988\) | 1.59073e6 | + | 4.89575e6i | 0.0518446 | + | 0.159561i | ||||
\(989\) | −737910. | + | 2.27105e6i | −0.0239890 | + | 0.0738307i | ||||
\(990\) | 1.71678e7 | + | 7.67951e6i | 0.556708 | + | 0.249027i | ||||
\(991\) | 1.37702e7 | + | 4.23803e7i | 0.445405 | + | 1.37082i | 0.882038 | + | 0.471177i | \(0.156171\pi\) |
−0.436633 | + | 0.899640i | \(0.643829\pi\) | |||||||
\(992\) | 471066. | − | 342250.i | 0.0151986 | − | 0.0110424i | ||||
\(993\) | −4.01467e6 | −0.129204 | ||||||||
\(994\) | −3.14177e6 | + | 2.28263e6i | −0.100858 | + | 0.0732774i | ||||
\(995\) | −3.63625e6 | + | 3.40257e7i | −0.116438 | + | 1.08955i | ||||
\(996\) | 5.42294e6 | + | 3.94000e6i | 0.173216 | + | 0.125848i | ||||
\(997\) | −3.41613e7 | − | 2.48197e7i | −1.08842 | − | 0.790784i | −0.109289 | − | 0.994010i | \(-0.534857\pi\) |
−0.979132 | + | 0.203226i | \(0.934857\pi\) | |||||||
\(998\) | −4.70018e6 | + | 1.44657e7i | −0.149379 | + | 0.459740i | ||||
\(999\) | −3.40800e7 | −1.08040 |
(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 | 50.6.d.b.21.3 | ✓ | 28 | |
25.6 | even | 5 | inner | 50.6.d.b.31.3 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
50.6.d.b.21.3 | ✓ | 28 | 1.1 | even | 1 | trivial | |
50.6.d.b.31.3 | yes | 28 | 25.6 | even | 5 | inner |