Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,6,Mod(31,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.31");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.g (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: | \(24.0575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 31.1 | ||
Character | \(\chi\) | \(=\) | 150.31 |
Dual form | 150.6.g.c.121.1 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 | ||||
\(3\) | −7.28115 | + | 5.29007i | −0.467086 | + | 0.339358i | ||||
\(4\) | −12.9443 | + | 9.40456i | −0.404508 | + | 0.293893i | ||||
\(5\) | −49.3905 | + | 26.1836i | −0.883523 | + | 0.468387i | ||||
\(6\) | 29.1246 | + | 21.1603i | 0.330280 | + | 0.239962i | ||||
\(7\) | −91.4091 | −0.705090 | −0.352545 | − | 0.935795i | \(-0.614684\pi\) | ||||
−0.352545 | + | 0.935795i | \(0.614684\pi\) | |||||||
\(8\) | 51.7771 | + | 37.6183i | 0.286031 | + | 0.207813i | ||||
\(9\) | 25.0304 | − | 77.0356i | 0.103006 | − | 0.317019i | ||||
\(10\) | 160.658 | + | 155.528i | 0.508047 | + | 0.491822i | ||||
\(11\) | 173.813 | + | 534.942i | 0.433113 | + | 1.33298i | 0.895008 | + | 0.446050i | \(0.147170\pi\) |
−0.461895 | + | 0.886934i | \(0.652830\pi\) | |||||||
\(12\) | 44.4984 | − | 136.952i | 0.0892055 | − | 0.274546i | ||||
\(13\) | −219.833 | + | 676.576i | −0.360773 | + | 1.11035i | 0.591813 | + | 0.806076i | \(0.298413\pi\) |
−0.952586 | + | 0.304270i | \(0.901587\pi\) | |||||||
\(14\) | 112.988 | + | 347.741i | 0.154068 | + | 0.474172i | ||||
\(15\) | 221.106 | − | 451.926i | 0.253731 | − | 0.518608i | ||||
\(16\) | 79.1084 | − | 243.470i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −1793.05 | − | 1302.73i | −1.50477 | − | 1.09328i | −0.968431 | − | 0.249282i | \(-0.919805\pi\) |
−0.536343 | − | 0.844000i | \(-0.680195\pi\) | |||||||
\(18\) | −324.000 | −0.235702 | ||||||||
\(19\) | 563.030 | + | 409.066i | 0.357806 | + | 0.259961i | 0.752137 | − | 0.659007i | \(-0.229023\pi\) |
−0.394330 | + | 0.918969i | \(0.629023\pi\) | |||||||
\(20\) | 393.078 | − | 803.424i | 0.219737 | − | 0.449128i | ||||
\(21\) | 665.564 | − | 483.560i | 0.329338 | − | 0.239278i | ||||
\(22\) | 1820.20 | − | 1322.45i | 0.801791 | − | 0.582535i | ||||
\(23\) | 550.562 | + | 1694.46i | 0.217014 | + | 0.667899i | 0.999005 | + | 0.0446094i | \(0.0142043\pi\) |
−0.781991 | + | 0.623290i | \(0.785796\pi\) | |||||||
\(24\) | −576.000 | −0.204124 | ||||||||
\(25\) | 1753.83 | − | 2586.44i | 0.561227 | − | 0.827662i | ||||
\(26\) | 2845.58 | 0.825538 | ||||||||
\(27\) | 225.273 | + | 693.320i | 0.0594703 | + | 0.183031i | ||||
\(28\) | 1183.22 | − | 859.663i | 0.285215 | − | 0.207221i | ||||
\(29\) | 4759.74 | − | 3458.15i | 1.05097 | − | 0.763571i | 0.0785694 | − | 0.996909i | \(-0.474965\pi\) |
0.972396 | + | 0.233338i | \(0.0749648\pi\) | |||||||
\(30\) | −1992.53 | − | 282.527i | −0.404205 | − | 0.0573135i | ||||
\(31\) | −6919.50 | − | 5027.31i | −1.29321 | − | 0.939575i | −0.293349 | − | 0.956005i | \(-0.594770\pi\) |
−0.999865 | + | 0.0164300i | \(0.994770\pi\) | |||||||
\(32\) | −1024.00 | −0.176777 | ||||||||
\(33\) | −4095.44 | − | 2975.51i | −0.654660 | − | 0.475638i | ||||
\(34\) | −2739.54 | + | 8431.45i | −0.406426 | + | 1.25085i | ||||
\(35\) | 4514.74 | − | 2393.42i | 0.622963 | − | 0.330255i | ||||
\(36\) | 400.486 | + | 1232.57i | 0.0515028 | + | 0.158509i | ||||
\(37\) | 2039.96 | − | 6278.35i | 0.244972 | − | 0.753947i | −0.750669 | − | 0.660679i | \(-0.770269\pi\) |
0.995641 | − | 0.0932684i | \(-0.0297315\pi\) | |||||||
\(38\) | 860.234 | − | 2647.53i | 0.0966402 | − | 0.297428i | ||||
\(39\) | −1978.50 | − | 6089.18i | −0.208293 | − | 0.641058i | ||||
\(40\) | −3542.28 | − | 502.270i | −0.350052 | − | 0.0496349i | ||||
\(41\) | 1074.34 | − | 3306.48i | 0.0998118 | − | 0.307189i | −0.888666 | − | 0.458555i | \(-0.848367\pi\) |
0.988478 | + | 0.151366i | \(0.0483672\pi\) | |||||||
\(42\) | −2662.25 | − | 1934.24i | −0.232877 | − | 0.169195i | ||||
\(43\) | −2484.63 | −0.204923 | −0.102461 | − | 0.994737i | \(-0.532672\pi\) | ||||
−0.102461 | + | 0.994737i | \(0.532672\pi\) | |||||||
\(44\) | −7280.78 | − | 5289.80i | −0.566952 | − | 0.411915i | ||||
\(45\) | 780.810 | + | 4460.21i | 0.0574797 | + | 0.328340i | ||||
\(46\) | 5765.57 | − | 4188.93i | 0.401742 | − | 0.291883i | ||||
\(47\) | 7804.71 | − | 5670.45i | 0.515362 | − | 0.374432i | −0.299492 | − | 0.954099i | \(-0.596817\pi\) |
0.814854 | + | 0.579667i | \(0.196817\pi\) | |||||||
\(48\) | 711.975 | + | 2191.23i | 0.0446028 | + | 0.137273i | ||||
\(49\) | −8451.38 | −0.502849 | ||||||||
\(50\) | −12007.3 | − | 3474.96i | −0.679234 | − | 0.196573i | ||||
\(51\) | 19947.0 | 1.07387 | ||||||||
\(52\) | −3517.33 | − | 10825.2i | −0.180387 | − | 0.555173i | ||||
\(53\) | −6804.92 | + | 4944.06i | −0.332761 | + | 0.241765i | −0.741601 | − | 0.670841i | \(-0.765933\pi\) |
0.408840 | + | 0.912606i | \(0.365933\pi\) | |||||||
\(54\) | 2359.09 | − | 1713.98i | 0.110093 | − | 0.0799874i | ||||
\(55\) | −22591.4 | − | 21870.0i | −1.00702 | − | 0.974858i | ||||
\(56\) | −4732.90 | − | 3438.65i | −0.201677 | − | 0.146527i | ||||
\(57\) | −6263.50 | −0.255346 | ||||||||
\(58\) | −19039.0 | − | 13832.6i | −0.743145 | − | 0.539926i | ||||
\(59\) | 6729.21 | − | 20710.4i | 0.251671 | − | 0.774565i | −0.742796 | − | 0.669518i | \(-0.766501\pi\) |
0.994467 | − | 0.105047i | \(-0.0334993\pi\) | |||||||
\(60\) | 1388.11 | + | 7929.26i | 0.0497789 | + | 0.284351i | ||||
\(61\) | 12388.1 | + | 38126.5i | 0.426264 | + | 1.31191i | 0.901779 | + | 0.432198i | \(0.142262\pi\) |
−0.475514 | + | 0.879708i | \(0.657738\pi\) | |||||||
\(62\) | −10572.1 | + | 32537.4i | −0.349285 | + | 1.07499i | ||||
\(63\) | −2288.00 | + | 7041.75i | −0.0726282 | + | 0.223527i | ||||
\(64\) | 1265.73 | + | 3895.53i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −6857.58 | − | 39172.4i | −0.201320 | − | 1.15000i | ||||
\(66\) | −6257.27 | + | 19257.9i | −0.176818 | + | 0.544188i | ||||
\(67\) | −23736.7 | − | 17245.7i | −0.646002 | − | 0.469348i | 0.215905 | − | 0.976414i | \(-0.430730\pi\) |
−0.861907 | + | 0.507066i | \(0.830730\pi\) | |||||||
\(68\) | 35461.4 | 0.930001 | ||||||||
\(69\) | −12972.5 | − | 9425.09i | −0.328021 | − | 0.238321i | ||||
\(70\) | −14685.6 | − | 14216.6i | −0.358218 | − | 0.346778i | ||||
\(71\) | 56961.1 | − | 41384.7i | 1.34101 | − | 0.974302i | 0.341606 | − | 0.939843i | \(-0.389029\pi\) |
0.999406 | − | 0.0344586i | \(-0.0109707\pi\) | |||||||
\(72\) | 4193.94 | − | 3047.08i | 0.0953436 | − | 0.0692712i | ||||
\(73\) | −10088.1 | − | 31048.1i | −0.221566 | − | 0.681910i | −0.998622 | − | 0.0524788i | \(-0.983288\pi\) |
0.777056 | − | 0.629432i | \(-0.216712\pi\) | |||||||
\(74\) | −26405.8 | −0.560557 | ||||||||
\(75\) | 912.531 | + | 28110.2i | 0.0187325 | + | 0.577046i | ||||
\(76\) | −11135.1 | −0.221136 | ||||||||
\(77\) | −15888.1 | − | 48898.6i | −0.305383 | − | 0.939873i | ||||
\(78\) | −20719.1 | + | 15053.3i | −0.385597 | + | 0.280153i | ||||
\(79\) | −32817.0 | + | 23843.0i | −0.591605 | + | 0.429826i | −0.842889 | − | 0.538087i | \(-0.819147\pi\) |
0.251284 | + | 0.967913i | \(0.419147\pi\) | |||||||
\(80\) | 2467.75 | + | 14096.5i | 0.0431098 | + | 0.246255i | ||||
\(81\) | −5307.96 | − | 3856.46i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −13906.5 | −0.228394 | ||||||||
\(83\) | 70220.7 | + | 51018.3i | 1.11884 | + | 0.812888i | 0.984034 | − | 0.177983i | \(-0.0569573\pi\) |
0.134811 | + | 0.990871i | \(0.456957\pi\) | |||||||
\(84\) | −4067.56 | + | 12518.7i | −0.0628979 | + | 0.193580i | ||||
\(85\) | 122670. | + | 17393.7i | 1.84158 | + | 0.261123i | ||||
\(86\) | 3071.17 | + | 9452.09i | 0.0447773 | + | 0.137810i | ||||
\(87\) | −16362.5 | + | 50358.7i | −0.231767 | + | 0.713307i | ||||
\(88\) | −11124.0 | + | 34236.3i | −0.153128 | + | 0.471281i | ||||
\(89\) | 30083.1 | + | 92586.2i | 0.402575 | + | 1.23900i | 0.922903 | + | 0.385033i | \(0.125810\pi\) |
−0.520327 | + | 0.853967i | \(0.674190\pi\) | |||||||
\(90\) | 16002.5 | − | 8483.50i | 0.208248 | − | 0.110400i | ||||
\(91\) | 20094.7 | − | 61845.2i | 0.254377 | − | 0.782893i | ||||
\(92\) | −23062.3 | − | 16755.7i | −0.284075 | − | 0.206392i | ||||
\(93\) | 76976.8 | 0.922895 | ||||||||
\(94\) | −31218.8 | − | 22681.8i | −0.364416 | − | 0.264764i | ||||
\(95\) | −38519.2 | − | 5461.75i | −0.437893 | − | 0.0620901i | ||||
\(96\) | 7455.90 | − | 5417.03i | 0.0825700 | − | 0.0599906i | ||||
\(97\) | −47487.7 | + | 34501.9i | −0.512451 | + | 0.372317i | −0.813752 | − | 0.581212i | \(-0.802579\pi\) |
0.301302 | + | 0.953529i | \(0.402579\pi\) | |||||||
\(98\) | 10446.5 | + | 32151.0i | 0.109876 | + | 0.338165i | ||||
\(99\) | 45560.2 | 0.467194 | ||||||||
\(100\) | 1622.28 | + | 49973.7i | 0.0162228 | + | 0.499737i | ||||
\(101\) | 168732. | 1.64586 | 0.822930 | − | 0.568143i | \(-0.192338\pi\) | ||||
0.822930 | + | 0.568143i | \(0.192338\pi\) | |||||||
\(102\) | −24655.9 | − | 75883.0i | −0.234650 | − | 0.722178i | ||||
\(103\) | −48264.3 | + | 35066.0i | −0.448263 | + | 0.325682i | −0.788909 | − | 0.614509i | \(-0.789354\pi\) |
0.340647 | + | 0.940191i | \(0.389354\pi\) | |||||||
\(104\) | −36833.9 | + | 26761.4i | −0.333937 | + | 0.242619i | ||||
\(105\) | −20211.1 | + | 41310.1i | −0.178903 | + | 0.365665i | ||||
\(106\) | 27219.7 | + | 19776.2i | 0.235298 | + | 0.170954i | ||||
\(107\) | 41884.2 | 0.353664 | 0.176832 | − | 0.984241i | \(-0.443415\pi\) | ||||
0.176832 | + | 0.984241i | \(0.443415\pi\) | |||||||
\(108\) | −9436.37 | − | 6855.93i | −0.0778477 | − | 0.0565597i | ||||
\(109\) | 49742.8 | − | 153093.i | 0.401018 | − | 1.23421i | −0.523157 | − | 0.852236i | \(-0.675246\pi\) |
0.924175 | − | 0.381970i | \(-0.124754\pi\) | |||||||
\(110\) | −55273.7 | + | 112976.i | −0.435549 | + | 0.890232i | ||||
\(111\) | 18359.6 | + | 56505.1i | 0.141435 | + | 0.435292i | ||||
\(112\) | −7231.22 | + | 22255.4i | −0.0544712 | + | 0.167645i | ||||
\(113\) | 4717.30 | − | 14518.4i | 0.0347534 | − | 0.106960i | −0.932175 | − | 0.362008i | \(-0.882091\pi\) |
0.966928 | + | 0.255048i | \(0.0820913\pi\) | |||||||
\(114\) | 7742.11 | + | 23827.8i | 0.0557952 | + | 0.171720i | ||||
\(115\) | −71559.6 | − | 69274.3i | −0.504572 | − | 0.488458i | ||||
\(116\) | −29088.9 | + | 89526.6i | −0.200716 | + | 0.617742i | ||||
\(117\) | 46617.9 | + | 33869.9i | 0.314839 | + | 0.228744i | ||||
\(118\) | −87104.7 | −0.575886 | ||||||||
\(119\) | 163902. | + | 119081.i | 1.06100 | + | 0.770862i | ||||
\(120\) | 28448.9 | − | 15081.8i | 0.180348 | − | 0.0956091i | ||||
\(121\) | −125659. | + | 91296.5i | −0.780243 | + | 0.566880i | ||||
\(122\) | 129729. | − | 94254.0i | 0.789113 | − | 0.573324i | ||||
\(123\) | 9669.06 | + | 29758.3i | 0.0576264 | + | 0.177356i | ||||
\(124\) | 136848. | 0.799250 | ||||||||
\(125\) | −18900.1 | + | 173667.i | −0.108191 | + | 0.994130i | ||||
\(126\) | 29616.5 | 0.166191 | ||||||||
\(127\) | −92835.1 | − | 285717.i | −0.510744 | − | 1.57191i | −0.790895 | − | 0.611952i | \(-0.790385\pi\) |
0.280152 | − | 0.959956i | \(-0.409615\pi\) | |||||||
\(128\) | 13254.9 | − | 9630.27i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | 18091.0 | − | 13143.9i | 0.0957166 | − | 0.0695422i | ||||
\(130\) | −140544. | + | 74507.6i | −0.729382 | + | 0.386671i | ||||
\(131\) | 207275. | + | 150594.i | 1.05528 | + | 0.766706i | 0.973209 | − | 0.229921i | \(-0.0738466\pi\) |
0.0820708 | + | 0.996626i | \(0.473847\pi\) | |||||||
\(132\) | 80995.9 | 0.404602 | ||||||||
\(133\) | −51466.1 | − | 37392.3i | −0.252285 | − | 0.183296i | ||||
\(134\) | −36266.5 | + | 111617.i | −0.174479 | + | 0.536992i | ||||
\(135\) | −29280.0 | − | 28344.9i | −0.138273 | − | 0.133857i | ||||
\(136\) | −43832.7 | − | 134903.i | −0.203213 | − | 0.625425i | ||||
\(137\) | 13413.0 | − | 41281.0i | 0.0610556 | − | 0.187910i | −0.915876 | − | 0.401460i | \(-0.868503\pi\) |
0.976932 | + | 0.213551i | \(0.0685028\pi\) | |||||||
\(138\) | −19820.2 | + | 61000.5i | −0.0885954 | + | 0.272669i | ||||
\(139\) | −5458.58 | − | 16799.8i | −0.0239631 | − | 0.0737508i | 0.938360 | − | 0.345660i | \(-0.112345\pi\) |
−0.962323 | + | 0.271909i | \(0.912345\pi\) | |||||||
\(140\) | −35930.9 | + | 73440.2i | −0.154934 | + | 0.316675i | ||||
\(141\) | −26830.2 | + | 82574.9i | −0.113652 | + | 0.349784i | ||||
\(142\) | −227844. | − | 165539.i | −0.948238 | − | 0.688936i | ||||
\(143\) | −400139. | −1.63633 | ||||||||
\(144\) | −16775.8 | − | 12188.3i | −0.0674181 | − | 0.0489821i | ||||
\(145\) | −144539. | + | 295427.i | −0.570905 | + | 1.16689i | ||||
\(146\) | −105644. | + | 76755.0i | −0.410170 | + | 0.298006i | ||||
\(147\) | 61535.8 | − | 44708.4i | 0.234874 | − | 0.170646i | ||||
\(148\) | 32639.3 | + | 100454.i | 0.122486 | + | 0.376974i | ||||
\(149\) | −437239. | −1.61344 | −0.806721 | − | 0.590933i | \(-0.798760\pi\) | ||||
−0.806721 | + | 0.590933i | \(0.798760\pi\) | |||||||
\(150\) | 105810. | − | 38217.6i | 0.383970 | − | 0.138687i | ||||
\(151\) | 403747. | 1.44101 | 0.720504 | − | 0.693451i | \(-0.243910\pi\) | ||||
0.720504 | + | 0.693451i | \(0.243910\pi\) | |||||||
\(152\) | 13763.7 | + | 42360.4i | 0.0483201 | + | 0.148714i | ||||
\(153\) | −145237. | + | 105521.i | −0.501591 | + | 0.364427i | ||||
\(154\) | −166382. | + | 120884.i | −0.565335 | + | 0.410740i | ||||
\(155\) | 473391. | + | 67123.5i | 1.58267 | + | 0.224411i | ||||
\(156\) | 82876.3 | + | 60213.2i | 0.272658 | + | 0.198098i | ||||
\(157\) | −87421.1 | −0.283053 | −0.141526 | − | 0.989934i | \(-0.545201\pi\) | ||||
−0.141526 | + | 0.989934i | \(0.545201\pi\) | |||||||
\(158\) | 131268. | + | 95371.9i | 0.418328 | + | 0.303933i | ||||
\(159\) | 23393.2 | − | 71996.9i | 0.0733833 | − | 0.225851i | ||||
\(160\) | 50575.8 | − | 26812.1i | 0.156186 | − | 0.0827999i | ||||
\(161\) | −50326.4 | − | 154889.i | −0.153014 | − | 0.470929i | ||||
\(162\) | −8109.84 | + | 24959.5i | −0.0242787 | + | 0.0747221i | ||||
\(163\) | −53481.4 | + | 164599.i | −0.157664 | + | 0.485241i | −0.998421 | − | 0.0561721i | \(-0.982110\pi\) |
0.840757 | + | 0.541413i | \(0.182110\pi\) | |||||||
\(164\) | 17189.4 | + | 52903.6i | 0.0499059 | + | 0.153595i | ||||
\(165\) | 280185. | + | 39728.3i | 0.801190 | + | 0.113603i | ||||
\(166\) | 107288. | − | 330197.i | 0.302190 | − | 0.930044i | ||||
\(167\) | −294619. | − | 214053.i | −0.817465 | − | 0.593923i | 0.0985202 | − | 0.995135i | \(-0.468589\pi\) |
−0.915985 | + | 0.401212i | \(0.868589\pi\) | |||||||
\(168\) | 52651.6 | 0.143926 | ||||||||
\(169\) | −109046. | − | 79226.8i | −0.293694 | − | 0.213381i | ||||
\(170\) | −85458.7 | − | 488164.i | −0.226795 | − | 1.29552i | ||||
\(171\) | 45605.5 | − | 33134.3i | 0.119269 | − | 0.0866538i | ||||
\(172\) | 32161.7 | − | 23366.9i | 0.0828930 | − | 0.0602253i | ||||
\(173\) | −219167. | − | 674527.i | −0.556750 | − | 1.71350i | −0.691278 | − | 0.722589i | \(-0.742952\pi\) |
0.134528 | − | 0.990910i | \(-0.457048\pi\) | |||||||
\(174\) | 211801. | 0.530341 | ||||||||
\(175\) | −160316. | + | 236424.i | −0.395715 | + | 0.583576i | ||||
\(176\) | 143993. | 0.350396 | ||||||||
\(177\) | 60562.9 | + | 186393.i | 0.145303 | + | 0.447195i | ||||
\(178\) | 315034. | − | 228886.i | 0.745259 | − | 0.541463i | ||||
\(179\) | 68215.2 | − | 49561.3i | 0.159129 | − | 0.115614i | −0.505371 | − | 0.862902i | \(-0.668644\pi\) |
0.664500 | + | 0.747288i | \(0.268644\pi\) | |||||||
\(180\) | −52053.3 | − | 50391.0i | −0.119748 | − | 0.115923i | ||||
\(181\) | −303317. | − | 220372.i | −0.688176 | − | 0.499989i | 0.187884 | − | 0.982191i | \(-0.439837\pi\) |
−0.876060 | + | 0.482202i | \(0.839837\pi\) | |||||||
\(182\) | −260112. | −0.582078 | ||||||||
\(183\) | −291891. | − | 212071.i | −0.644308 | − | 0.468117i | ||||
\(184\) | −35236.0 | + | 108445.i | −0.0767259 | + | 0.236138i | ||||
\(185\) | 63635.5 | + | 363504.i | 0.136701 | + | 0.780872i | ||||
\(186\) | −95148.5 | − | 292837.i | −0.201660 | − | 0.620645i | ||||
\(187\) | 385229. | − | 1.18561e6i | 0.805591 | − | 2.47935i | ||||
\(188\) | −47698.1 | + | 146800.i | −0.0984253 | + | 0.302922i | ||||
\(189\) | −20592.0 | − | 63375.8i | −0.0419319 | − | 0.129053i | ||||
\(190\) | 26834.6 | + | 153287.i | 0.0539276 | + | 0.308049i | ||||
\(191\) | 177625. | − | 546675.i | 0.352308 | − | 1.08429i | −0.605247 | − | 0.796038i | \(-0.706926\pi\) |
0.957554 | − | 0.288253i | \(-0.0930744\pi\) | |||||||
\(192\) | −29823.6 | − | 21668.1i | −0.0583858 | − | 0.0424197i | ||||
\(193\) | −721580. | −1.39441 | −0.697206 | − | 0.716871i | \(-0.745574\pi\) | ||||
−0.697206 | + | 0.716871i | \(0.745574\pi\) | |||||||
\(194\) | 189951. | + | 138007.i | 0.362357 | + | 0.263268i | ||||
\(195\) | 257156. | + | 248943.i | 0.484295 | + | 0.468829i | ||||
\(196\) | 109397. | − | 79481.5i | 0.203407 | − | 0.147784i | ||||
\(197\) | −260806. | + | 189487.i | −0.478798 | + | 0.347867i | −0.800860 | − | 0.598851i | \(-0.795624\pi\) |
0.322062 | + | 0.946719i | \(0.395624\pi\) | |||||||
\(198\) | −56315.5 | − | 173321.i | −0.102086 | − | 0.314187i | ||||
\(199\) | 531953. | 0.952228 | 0.476114 | − | 0.879384i | \(-0.342045\pi\) | ||||
0.476114 | + | 0.879384i | \(0.342045\pi\) | |||||||
\(200\) | 188106. | − | 67942.4i | 0.332527 | − | 0.120106i | ||||
\(201\) | 264062. | 0.461016 | ||||||||
\(202\) | −208564. | − | 641893.i | −0.359634 | − | 1.10684i | ||||
\(203\) | −435084. | + | 316107.i | −0.741025 | + | 0.538386i | ||||
\(204\) | −258200. | + | 187593.i | −0.434391 | + | 0.315603i | ||||
\(205\) | 33513.5 | + | 191439.i | 0.0556974 | + | 0.318159i | ||||
\(206\) | 193057. | + | 140264.i | 0.316970 | + | 0.230292i | ||||
\(207\) | 144314. | 0.234090 | ||||||||
\(208\) | 147336. | + | 107046.i | 0.236129 | + | 0.171558i | ||||
\(209\) | −120964. | + | 372290.i | −0.191554 | + | 0.589543i | ||||
\(210\) | 182135. | + | 25825.5i | 0.285001 | + | 0.0404111i | ||||
\(211\) | −230134. | − | 708281.i | −0.355857 | − | 1.09521i | −0.955511 | − | 0.294956i | \(-0.904695\pi\) |
0.599654 | − | 0.800259i | \(-0.295305\pi\) | |||||||
\(212\) | 41587.9 | − | 127995.i | 0.0635518 | − | 0.195592i | ||||
\(213\) | −195815. | + | 602656.i | −0.295731 | + | 0.910166i | ||||
\(214\) | −51771.7 | − | 159337.i | −0.0772784 | − | 0.237839i | ||||
\(215\) | 122717. | − | 65056.6i | 0.181054 | − | 0.0959832i | ||||
\(216\) | −14417.5 | + | 44372.5i | −0.0210259 | + | 0.0647112i | ||||
\(217\) | 632505. | + | 459542.i | 0.911832 | + | 0.662485i | ||||
\(218\) | −643884. | −0.917627 | ||||||||
\(219\) | 237700. | + | 172699.i | 0.334902 | + | 0.243321i | ||||
\(220\) | 498107. | + | 70628.1i | 0.693851 | + | 0.0983832i | ||||
\(221\) | 1.27557e6 | − | 926755.i | 1.75680 | − | 1.27639i | ||||
\(222\) | 192264. | − | 139688.i | 0.261828 | − | 0.190229i | ||||
\(223\) | −315414. | − | 970743.i | −0.424735 | − | 1.30720i | −0.903248 | − | 0.429120i | \(-0.858824\pi\) |
0.478512 | − | 0.878081i | \(-0.341176\pi\) | |||||||
\(224\) | 93602.9 | 0.124643 | ||||||||
\(225\) | −155349. | − | 199847.i | −0.204575 | − | 0.263173i | ||||
\(226\) | −61062.0 | −0.0795243 | ||||||||
\(227\) | 166163. | + | 511398.i | 0.214028 | + | 0.658710i | 0.999221 | + | 0.0394592i | \(0.0125635\pi\) |
−0.785193 | + | 0.619251i | \(0.787436\pi\) | |||||||
\(228\) | 81076.4 | − | 58905.4i | 0.103290 | − | 0.0750444i | ||||
\(229\) | −1.17955e6 | + | 856994.i | −1.48637 | + | 1.07991i | −0.510940 | + | 0.859616i | \(0.670703\pi\) |
−0.975433 | + | 0.220297i | \(0.929297\pi\) | |||||||
\(230\) | −175082. | + | 357857.i | −0.218234 | + | 0.446056i | ||||
\(231\) | 374360. | + | 271989.i | 0.461594 | + | 0.335367i | ||||
\(232\) | 376535. | 0.459289 | ||||||||
\(233\) | 607318. | + | 441242.i | 0.732869 | + | 0.532461i | 0.890470 | − | 0.455042i | \(-0.150376\pi\) |
−0.157601 | + | 0.987503i | \(0.550376\pi\) | |||||||
\(234\) | 71225.9 | − | 219211.i | 0.0850351 | − | 0.261711i | ||||
\(235\) | −237005. | + | 484422.i | −0.279955 | + | 0.572208i | ||||
\(236\) | 107667. | + | 331366.i | 0.125836 | + | 0.387282i | ||||
\(237\) | 112815. | − | 347209.i | 0.130466 | − | 0.401532i | ||||
\(238\) | 250419. | − | 770711.i | 0.286566 | − | 0.881961i | ||||
\(239\) | −239223. | − | 736253.i | −0.270900 | − | 0.833743i | −0.990275 | − | 0.139122i | \(-0.955572\pi\) |
0.719376 | − | 0.694621i | \(-0.244428\pi\) | |||||||
\(240\) | −92539.3 | − | 89583.9i | −0.103705 | − | 0.100393i | ||||
\(241\) | −337257. | + | 1.03797e6i | −0.374041 | + | 1.15118i | 0.570083 | + | 0.821587i | \(0.306911\pi\) |
−0.944123 | + | 0.329592i | \(0.893089\pi\) | |||||||
\(242\) | 502636. | + | 365186.i | 0.551715 | + | 0.400844i | ||||
\(243\) | 59049.0 | 0.0641500 | ||||||||
\(244\) | −518918. | − | 377016.i | −0.557987 | − | 0.405401i | ||||
\(245\) | 417417. | − | 221288.i | 0.444279 | − | 0.235528i | ||||
\(246\) | 101256. | − | 73566.6i | 0.106680 | − | 0.0775073i | ||||
\(247\) | −400537. | + | 291007.i | −0.417734 | + | 0.303502i | ||||
\(248\) | −169153. | − | 520599.i | −0.174643 | − | 0.537495i | ||||
\(249\) | −781178. | −0.798457 | ||||||||
\(250\) | 684032. | − | 142764.i | 0.692192 | − | 0.144467i | ||||
\(251\) | −1.70703e6 | −1.71024 | −0.855119 | − | 0.518432i | \(-0.826516\pi\) | ||||
−0.855119 | + | 0.518432i | \(0.826516\pi\) | |||||||
\(252\) | −36608.1 | − | 112668.i | −0.0363141 | − | 0.111763i | ||||
\(253\) | −810741. | + | 589038.i | −0.796308 | + | 0.578551i | ||||
\(254\) | −972182. | + | 706332.i | −0.945504 | + | 0.686949i | ||||
\(255\) | −985193. | + | 522286.i | −0.948792 | + | 0.502989i | ||||
\(256\) | −53019.7 | − | 38521.1i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 418279. | 0.395033 | 0.197516 | − | 0.980300i | \(-0.436712\pi\) | ||||
0.197516 | + | 0.980300i | \(0.436712\pi\) | |||||||
\(258\) | −72363.8 | − | 52575.4i | −0.0676819 | − | 0.0491738i | ||||
\(259\) | −186471. | + | 573898.i | −0.172727 | + | 0.531600i | ||||
\(260\) | 457166. | + | 442566.i | 0.419412 | + | 0.406017i | ||||
\(261\) | −147263. | − | 453228.i | −0.133811 | − | 0.411828i | ||||
\(262\) | 316687. | − | 974664.i | 0.285021 | − | 0.877206i | ||||
\(263\) | 583643. | − | 1.79627e6i | 0.520305 | − | 1.60133i | −0.253112 | − | 0.967437i | \(-0.581454\pi\) |
0.773417 | − | 0.633897i | \(-0.218546\pi\) | |||||||
\(264\) | −100116. | − | 308127.i | −0.0884088 | − | 0.272094i | ||||
\(265\) | 206644. | − | 422367.i | 0.180763 | − | 0.369467i | ||||
\(266\) | −78633.2 | + | 242008.i | −0.0681400 | + | 0.209713i | ||||
\(267\) | −708827. | − | 514993.i | −0.608502 | − | 0.442102i | ||||
\(268\) | 469443. | 0.399251 | ||||||||
\(269\) | 174187. | + | 126554.i | 0.146769 | + | 0.106634i | 0.658747 | − | 0.752365i | \(-0.271087\pi\) |
−0.511978 | + | 0.858999i | \(0.671087\pi\) | |||||||
\(270\) | −71638.4 | + | 146424.i | −0.0598049 | + | 0.122237i | ||||
\(271\) | 581101. | − | 422195.i | 0.480650 | − | 0.349212i | −0.320928 | − | 0.947104i | \(-0.603995\pi\) |
0.801577 | + | 0.597891i | \(0.203995\pi\) | |||||||
\(272\) | −459022. | + | 333499.i | −0.376193 | + | 0.273321i | ||||
\(273\) | 180853. | + | 556607.i | 0.146865 | + | 0.452004i | ||||
\(274\) | −173622. | −0.139710 | ||||||||
\(275\) | 1.68844e6 | + | 488641.i | 1.34633 | + | 0.389635i | ||||
\(276\) | 256559. | 0.202728 | ||||||||
\(277\) | 174210. | + | 536162.i | 0.136418 | + | 0.419852i | 0.995808 | − | 0.0914689i | \(-0.0291562\pi\) |
−0.859390 | + | 0.511321i | \(0.829156\pi\) | |||||||
\(278\) | −57163.0 | + | 41531.3i | −0.0443611 | + | 0.0322303i | ||||
\(279\) | −560480. | + | 407212.i | −0.431071 | + | 0.313192i | ||||
\(280\) | 323796. | + | 45912.0i | 0.246818 | + | 0.0349971i | ||||
\(281\) | 476853. | + | 346454.i | 0.360262 | + | 0.261746i | 0.753161 | − | 0.657836i | \(-0.228528\pi\) |
−0.392899 | + | 0.919581i | \(0.628528\pi\) | |||||||
\(282\) | 347298. | 0.260063 | ||||||||
\(283\) | −1.14093e6 | − | 828931.i | −0.846820 | − | 0.615251i | 0.0774470 | − | 0.996996i | \(-0.475323\pi\) |
−0.924268 | + | 0.381745i | \(0.875323\pi\) | |||||||
\(284\) | −348115. | + | 1.07139e6i | −0.256110 | + | 0.788227i | ||||
\(285\) | 309357. | − | 164001.i | 0.225604 | − | 0.119601i | ||||
\(286\) | 494599. | + | 1.52222e6i | 0.357551 | + | 1.10043i | ||||
\(287\) | −98204.4 | + | 302242.i | −0.0703763 | + | 0.216596i | ||||
\(288\) | −25631.1 | + | 78884.4i | −0.0182090 | + | 0.0560415i | ||||
\(289\) | 1.07918e6 | + | 3.32137e6i | 0.760062 | + | 2.33923i | ||||
\(290\) | 1.30253e6 | + | 184690.i | 0.909480 | + | 0.128958i | ||||
\(291\) | 163248. | − | 502427.i | 0.113010 | − | 0.347809i | ||||
\(292\) | 422577. | + | 307020.i | 0.290034 | + | 0.210722i | ||||
\(293\) | −2.26207e6 | −1.53935 | −0.769673 | − | 0.638439i | \(-0.779581\pi\) | ||||
−0.769673 | + | 0.638439i | \(0.779581\pi\) | |||||||
\(294\) | −246143. | − | 178833.i | −0.166081 | − | 0.120665i | ||||
\(295\) | 209914. | + | 1.19909e6i | 0.140439 | + | 0.802226i | ||||
\(296\) | 341804. | − | 248335.i | 0.226750 | − | 0.164744i | ||||
\(297\) | −331731. | + | 241016.i | −0.218220 | + | 0.158546i | ||||
\(298\) | 540457. | + | 1.66336e6i | 0.352550 | + | 1.08504i | ||||
\(299\) | −1.26746e6 | −0.819892 | ||||||||
\(300\) | −276176. | − | 355284.i | −0.177167 | − | 0.227915i | ||||
\(301\) | 227118. | 0.144489 | ||||||||
\(302\) | −499058. | − | 1.53594e6i | −0.314872 | − | 0.969076i | ||||
\(303\) | −1.22856e6 | + | 892601.i | −0.768759 | + | 0.558536i | ||||
\(304\) | 144136. | − | 104721.i | 0.0894516 | − | 0.0649904i | ||||
\(305\) | −1.61014e6 | − | 1.55872e6i | −0.991094 | − | 0.959443i | ||||
\(306\) | 580950. | + | 422085.i | 0.354679 | + | 0.257689i | ||||
\(307\) | 160273. | 0.0970541 | 0.0485270 | − | 0.998822i | \(-0.484547\pi\) | ||||
0.0485270 | + | 0.998822i | \(0.484547\pi\) | |||||||
\(308\) | 665530. | + | 483536.i | 0.399752 | + | 0.290437i | ||||
\(309\) | 165918. | − | 510642.i | 0.0988545 | − | 0.304243i | ||||
\(310\) | −329790. | − | 1.88385e6i | −0.194910 | − | 1.11338i | ||||
\(311\) | 525400. | + | 1.61701e6i | 0.308027 | + | 0.948010i | 0.978530 | + | 0.206103i | \(0.0660783\pi\) |
−0.670503 | + | 0.741907i | \(0.733922\pi\) | |||||||
\(312\) | 126624. | − | 389708.i | 0.0736425 | − | 0.226648i | ||||
\(313\) | −231703. | + | 713108.i | −0.133681 | + | 0.411429i | −0.995383 | − | 0.0959873i | \(-0.969399\pi\) |
0.861701 | + | 0.507416i | \(0.169399\pi\) | |||||||
\(314\) | 108058. | + | 332570.i | 0.0618493 | + | 0.190353i | ||||
\(315\) | −71373.2 | − | 407704.i | −0.0405283 | − | 0.231509i | ||||
\(316\) | 200560. | − | 617260.i | 0.112986 | − | 0.347737i | ||||
\(317\) | −520381. | − | 378079.i | −0.290853 | − | 0.211317i | 0.432784 | − | 0.901497i | \(-0.357531\pi\) |
−0.723637 | + | 0.690180i | \(0.757531\pi\) | |||||||
\(318\) | −302808. | −0.167919 | ||||||||
\(319\) | 2.67722e6 | + | 1.94511e6i | 1.47301 | + | 1.07021i | ||||
\(320\) | −164514. | − | 159260.i | −0.0898108 | − | 0.0869426i | ||||
\(321\) | −304965. | + | 221570.i | −0.165192 | + | 0.120019i | ||||
\(322\) | −527025. | + | 382906.i | −0.283264 | + | 0.205803i | ||||
\(323\) | −476642. | − | 1.46695e6i | −0.254206 | − | 0.782366i | ||||
\(324\) | 104976. | 0.0555556 | ||||||||
\(325\) | 1.36438e6 | + | 1.75519e6i | 0.716516 | + | 0.921754i | ||||
\(326\) | 692277. | 0.360775 | ||||||||
\(327\) | 447685. | + | 1.37783e6i | 0.231528 | + | 0.712569i | ||||
\(328\) | 180010. | − | 130785.i | 0.0923873 | − | 0.0671233i | ||||
\(329\) | −713422. | + | 518331.i | −0.363376 | + | 0.264008i | ||||
\(330\) | −195193. | − | 1.11500e6i | −0.0986685 | − | 0.563622i | ||||
\(331\) | 470767. | + | 342032.i | 0.236176 | + | 0.171592i | 0.699578 | − | 0.714556i | \(-0.253371\pi\) |
−0.463402 | + | 0.886148i | \(0.653371\pi\) | |||||||
\(332\) | −1.38876e6 | −0.691484 | ||||||||
\(333\) | −432595. | − | 314299.i | −0.213782 | − | 0.155322i | ||||
\(334\) | −450137. | + | 1.38538e6i | −0.220790 | + | 0.679521i | ||||
\(335\) | 1.62392e6 | + | 230261.i | 0.790595 | + | 0.112101i | ||||
\(336\) | −65081.0 | − | 200299.i | −0.0314489 | − | 0.0967899i | ||||
\(337\) | 726099. | − | 2.23470e6i | 0.348274 | − | 1.07188i | −0.611534 | − | 0.791218i | \(-0.709447\pi\) |
0.959808 | − | 0.280659i | \(-0.0905528\pi\) | |||||||
\(338\) | −166608. | + | 512767.i | −0.0793239 | + | 0.244134i | ||||
\(339\) | 42455.7 | + | 130665.i | 0.0200649 | + | 0.0617534i | ||||
\(340\) | −1.75145e6 | + | 928509.i | −0.821678 | + | 0.435601i | ||||
\(341\) | 1.48662e6 | − | 4.57534e6i | 0.692331 | − | 2.13078i | ||||
\(342\) | −182422. | − | 132537.i | −0.0843357 | − | 0.0612735i | ||||
\(343\) | 2.30885e6 | 1.05964 | ||||||||
\(344\) | −128647. | − | 93467.4i | −0.0586142 | − | 0.0425857i | ||||
\(345\) | 887502. | + | 125842.i | 0.401441 | + | 0.0569215i | ||||
\(346\) | −2.29515e6 | + | 1.66752e6i | −1.03067 | + | 0.748827i | ||||
\(347\) | 2.53090e6 | − | 1.83880e6i | 1.12837 | − | 0.819807i | 0.142911 | − | 0.989736i | \(-0.454354\pi\) |
0.985456 | + | 0.169929i | \(0.0543537\pi\) | |||||||
\(348\) | −261801. | − | 805739.i | −0.115884 | − | 0.356653i | ||||
\(349\) | 1.92061e6 | 0.844066 | 0.422033 | − | 0.906581i | \(-0.361317\pi\) | ||||
0.422033 | + | 0.906581i | \(0.361317\pi\) | |||||||
\(350\) | 1.09757e6 | + | 317643.i | 0.478921 | + | 0.138602i | ||||
\(351\) | −518606. | −0.224683 | ||||||||
\(352\) | −177985. | − | 547781.i | −0.0765642 | − | 0.235641i | ||||
\(353\) | 1.52065e6 | − | 1.10482e6i | 0.649522 | − | 0.471905i | −0.213586 | − | 0.976924i | \(-0.568514\pi\) |
0.863108 | + | 0.505019i | \(0.168514\pi\) | |||||||
\(354\) | 634223. | − | 460790.i | 0.268988 | − | 0.195431i | ||||
\(355\) | −1.72973e6 | + | 3.53546e6i | −0.728464 | + | 1.48893i | ||||
\(356\) | −1.26014e6 | − | 915543.i | −0.526978 | − | 0.382872i | ||||
\(357\) | −1.82334e6 | −0.757177 | ||||||||
\(358\) | −272861. | − | 198245.i | −0.112521 | − | 0.0817513i | ||||
\(359\) | 584141. | − | 1.79780e6i | 0.239211 | − | 0.736216i | −0.757324 | − | 0.653040i | \(-0.773493\pi\) |
0.996535 | − | 0.0831765i | \(-0.0265065\pi\) | |||||||
\(360\) | −127357. | + | 260309.i | −0.0517925 | + | 0.105860i | ||||
\(361\) | −615488. | − | 1.89428e6i | −0.248572 | − | 0.765025i | ||||
\(362\) | −463427. | + | 1.42628e6i | −0.185870 | + | 0.572049i | ||||
\(363\) | 431977. | − | 1.32949e6i | 0.172066 | − | 0.529563i | ||||
\(364\) | 321516. | + | 989523.i | 0.127189 | + | 0.391447i | ||||
\(365\) | 1.31121e6 | + | 1.26933e6i | 0.515157 | + | 0.498705i | ||||
\(366\) | −445970. | + | 1.37256e6i | −0.174022 | + | 0.535583i | ||||
\(367\) | −387024. | − | 281190.i | −0.149994 | − | 0.108977i | 0.510257 | − | 0.860022i | \(-0.329550\pi\) |
−0.660251 | + | 0.751045i | \(0.729550\pi\) | |||||||
\(368\) | 456104. | 0.175568 | ||||||||
\(369\) | −227825. | − | 165525.i | −0.0871036 | − | 0.0632845i | ||||
\(370\) | 1.30419e6 | − | 691399.i | 0.495265 | − | 0.262558i | ||||
\(371\) | 622031. | − | 451932.i | 0.234627 | − | 0.170466i | ||||
\(372\) | −996408. | + | 723933.i | −0.373319 | + | 0.271232i | ||||
\(373\) | 379684. | + | 1.16855e6i | 0.141303 | + | 0.434885i | 0.996517 | − | 0.0833896i | \(-0.0265746\pi\) |
−0.855214 | + | 0.518274i | \(0.826575\pi\) | |||||||
\(374\) | −4.98651e6 | −1.84339 | ||||||||
\(375\) | −781098. | − | 1.36448e6i | −0.286832 | − | 0.501060i | ||||
\(376\) | 617418. | 0.225221 | ||||||||
\(377\) | 1.29336e6 | + | 3.98054e6i | 0.468668 | + | 1.44241i | ||||
\(378\) | −215643. | + | 156674.i | −0.0776256 | + | 0.0563983i | ||||
\(379\) | −229912. | + | 167041.i | −0.0822172 | + | 0.0597343i | −0.628135 | − | 0.778105i | \(-0.716181\pi\) |
0.545917 | + | 0.837839i | \(0.316181\pi\) | |||||||
\(380\) | 549968. | − | 291558.i | 0.195379 | − | 0.103577i | ||||
\(381\) | 2.18741e6 | + | 1.58925e6i | 0.772001 | + | 0.560891i | ||||
\(382\) | −2.29923e6 | −0.806166 | ||||||||
\(383\) | −2.43476e6 | − | 1.76896e6i | −0.848125 | − | 0.616199i | 0.0765033 | − | 0.997069i | \(-0.475624\pi\) |
−0.924628 | + | 0.380870i | \(0.875624\pi\) | |||||||
\(384\) | −45566.4 | + | 140239.i | −0.0157695 | + | 0.0485334i | ||||
\(385\) | 2.06506e6 | + | 1.99911e6i | 0.710038 | + | 0.687362i | ||||
\(386\) | 891921. | + | 2.74505e6i | 0.304690 | + | 0.937740i | ||||
\(387\) | −62191.2 | + | 191405.i | −0.0211082 | + | 0.0649644i | ||||
\(388\) | 290219. | − | 893203.i | 0.0978694 | − | 0.301211i | ||||
\(389\) | 784873. | + | 2.41559e6i | 0.262981 | + | 0.809374i | 0.992152 | + | 0.125041i | \(0.0399063\pi\) |
−0.729170 | + | 0.684333i | \(0.760094\pi\) | |||||||
\(390\) | 629175. | − | 1.28599e6i | 0.209464 | − | 0.428130i | ||||
\(391\) | 1.22023e6 | − | 3.75549e6i | 0.403646 | − | 1.24229i | ||||
\(392\) | −437588. | − | 317926.i | −0.143830 | − | 0.104499i | ||||
\(393\) | −2.30585e6 | −0.753095 | ||||||||
\(394\) | 1.04322e6 | + | 757947.i | 0.338561 | + | 0.245979i | ||||
\(395\) | 996552. | − | 2.03688e6i | 0.321372 | − | 0.656861i | ||||
\(396\) | −589743. | + | 428474.i | −0.188984 | + | 0.137305i | ||||
\(397\) | 1.15972e6 | − | 842584.i | 0.369297 | − | 0.268310i | −0.387622 | − | 0.921818i | \(-0.626704\pi\) |
0.756919 | + | 0.653508i | \(0.226704\pi\) | |||||||
\(398\) | −657531. | − | 2.02367e6i | −0.208069 | − | 0.640372i | ||||
\(399\) | 572540. | 0.180042 | ||||||||
\(400\) | −490980. | − | 631616.i | −0.153431 | − | 0.197380i | ||||
\(401\) | −4.67485e6 | −1.45180 | −0.725901 | − | 0.687800i | \(-0.758577\pi\) | ||||
−0.725901 | + | 0.687800i | \(0.758577\pi\) | |||||||
\(402\) | −326399. | − | 1.00455e6i | −0.100736 | − | 0.310032i | ||||
\(403\) | 4.92249e6 | − | 3.57640e6i | 1.50981 | − | 1.09694i | ||||
\(404\) | −2.18411e6 | + | 1.58685e6i | −0.665764 | + | 0.483706i | ||||
\(405\) | 363139. | + | 51490.5i | 0.110011 | + | 0.0155987i | ||||
\(406\) | 1.74033e6 | + | 1.26443e6i | 0.523983 | + | 0.380696i | ||||
\(407\) | 3.71312e6 | 1.11110 | ||||||||
\(408\) | 1.03280e6 | + | 750373.i | 0.307161 | + | 0.223165i | ||||
\(409\) | 1.51728e6 | − | 4.66970e6i | 0.448494 | − | 1.38032i | −0.430113 | − | 0.902775i | \(-0.641526\pi\) |
0.878606 | − | 0.477547i | \(-0.158474\pi\) | |||||||
\(410\) | 686851. | − | 364124.i | 0.201791 | − | 0.106977i | ||||
\(411\) | 120717. | + | 371529.i | 0.0352504 | + | 0.108490i | ||||
\(412\) | 294965. | − | 907808.i | 0.0856105 | − | 0.263482i | ||||
\(413\) | −615111. | + | 1.89312e6i | −0.177451 | + | 0.546138i | ||||
\(414\) | −178382. | − | 549004.i | −0.0511506 | − | 0.157425i | ||||
\(415\) | −4.80408e6 | − | 681184.i | −1.36927 | − | 0.194153i | ||||
\(416\) | 225109. | − | 692814.i | 0.0637763 | − | 0.196283i | ||||
\(417\) | 128617. | + | 93445.5i | 0.0362207 | + | 0.0263159i | ||||
\(418\) | 1.56579e6 | 0.438323 | ||||||||
\(419\) | −4.89035e6 | − | 3.55305e6i | −1.36083 | − | 0.988704i | −0.998391 | − | 0.0566982i | \(-0.981943\pi\) |
−0.362443 | − | 0.932006i | \(-0.618057\pi\) | |||||||
\(420\) | −126886. | − | 724806.i | −0.0350986 | − | 0.200493i | ||||
\(421\) | −3.42244e6 | + | 2.48655e6i | −0.941090 | + | 0.683742i | −0.948683 | − | 0.316229i | \(-0.897583\pi\) |
0.00759274 | + | 0.999971i | \(0.497583\pi\) | |||||||
\(422\) | −2.41000e6 | + | 1.75097e6i | −0.658773 | + | 0.478626i | ||||
\(423\) | −241472. | − | 743174.i | −0.0656169 | − | 0.201948i | ||||
\(424\) | −538326. | −0.145422 | ||||||||
\(425\) | −6.51416e6 | + | 2.35286e6i | −1.74939 | + | 0.631865i | ||||
\(426\) | 2.53468e6 | 0.676705 | ||||||||
\(427\) | −1.13238e6 | − | 3.48511e6i | −0.300554 | − | 0.925011i | ||||
\(428\) | −542161. | + | 393903.i | −0.143060 | + | 0.103939i | ||||
\(429\) | 2.91347e6 | − | 2.11676e6i | 0.764307 | − | 0.555301i | ||||
\(430\) | −399177. | − | 386429.i | −0.104110 | − | 0.100786i | ||||
\(431\) | −4.45804e6 | − | 3.23896e6i | −1.15598 | − | 0.839870i | −0.166718 | − | 0.986005i | \(-0.553317\pi\) |
−0.989265 | + | 0.146134i | \(0.953317\pi\) | |||||||
\(432\) | 186624. | 0.0481125 | ||||||||
\(433\) | 3.54800e6 | + | 2.57777e6i | 0.909419 | + | 0.660732i | 0.940868 | − | 0.338774i | \(-0.110012\pi\) |
−0.0314486 | + | 0.999505i | \(0.510012\pi\) | |||||||
\(434\) | 966382. | − | 2.97422e6i | 0.246277 | − | 0.757964i | ||||
\(435\) | −510421. | − | 2.91567e6i | −0.129332 | − | 0.738780i | ||||
\(436\) | 795884. | + | 2.44948e6i | 0.200509 | + | 0.617103i | ||||
\(437\) | −383161. | + | 1.17925e6i | −0.0959792 | + | 0.295394i | ||||
\(438\) | 363173. | − | 1.11773e6i | 0.0904540 | − | 0.278389i | ||||
\(439\) | −2.01860e6 | − | 6.21260e6i | −0.499906 | − | 1.53855i | −0.809170 | − | 0.587575i | \(-0.800083\pi\) |
0.309264 | − | 0.950976i | \(-0.399917\pi\) | |||||||
\(440\) | −347009. | − | 1.98221e6i | −0.0854494 | − | 0.488111i | ||||
\(441\) | −211541. | + | 651057.i | −0.0517963 | + | 0.159413i | ||||
\(442\) | −5.10228e6 | − | 3.70702e6i | −1.24225 | − | 0.902546i | ||||
\(443\) | 3.73511e6 | 0.904262 | 0.452131 | − | 0.891952i | \(-0.350664\pi\) | ||||
0.452131 | + | 0.891952i | \(0.350664\pi\) | |||||||
\(444\) | −769058. | − | 558753.i | −0.185141 | − | 0.134513i | ||||
\(445\) | −3.91006e6 | − | 3.78519e6i | −0.936016 | − | 0.906124i | ||||
\(446\) | −3.30305e6 | + | 2.39981e6i | −0.786282 | + | 0.571268i | ||||
\(447\) | 3.18360e6 | − | 2.31302e6i | 0.753616 | − | 0.547534i | ||||
\(448\) | −115700. | − | 356087.i | −0.0272356 | − | 0.0838225i | ||||
\(449\) | 6.57835e6 | 1.53993 | 0.769965 | − | 0.638086i | \(-0.220274\pi\) | ||||
0.769965 | + | 0.638086i | \(0.220274\pi\) | |||||||
\(450\) | −568242. | + | 838008.i | −0.132282 | + | 0.195082i | ||||
\(451\) | 1.95551e6 | 0.452708 | ||||||||
\(452\) | 75476.8 | + | 232294.i | 0.0173767 | + | 0.0534800i | ||||
\(453\) | −2.93974e6 | + | 2.13585e6i | −0.673075 | + | 0.489018i | ||||
\(454\) | 1.74008e6 | − | 1.26424e6i | 0.396215 | − | 0.287867i | ||||
\(455\) | 626845. | + | 3.58072e6i | 0.141949 | + | 0.810852i | ||||
\(456\) | −324306. | − | 235622.i | −0.0730369 | − | 0.0530644i | ||||
\(457\) | −1.78358e6 | −0.399487 | −0.199744 | − | 0.979848i | \(-0.564011\pi\) | ||||
−0.199744 | + | 0.979848i | \(0.564011\pi\) | |||||||
\(458\) | 4.71820e6 | + | 3.42797e6i | 1.05102 | + | 0.763614i | ||||
\(459\) | 499282. | − | 1.53663e6i | 0.110615 | − | 0.340438i | ||||
\(460\) | 1.57778e6 | + | 223718.i | 0.347658 | + | 0.0492955i | ||||
\(461\) | −1.09151e6 | − | 3.35932e6i | −0.239208 | − | 0.736205i | −0.996535 | − | 0.0831702i | \(-0.973495\pi\) |
0.757328 | − | 0.653035i | \(-0.226505\pi\) | |||||||
\(462\) | 571972. | − | 1.76035e6i | 0.124672 | − | 0.383702i | ||||
\(463\) | −1.24520e6 | + | 3.83234e6i | −0.269952 | + | 0.830828i | 0.720559 | + | 0.693394i | \(0.243885\pi\) |
−0.990511 | + | 0.137434i | \(0.956115\pi\) | |||||||
\(464\) | −465423. | − | 1.43243e6i | −0.100358 | − | 0.308871i | ||||
\(465\) | −3.80192e6 | + | 2.01553e6i | −0.815399 | + | 0.432272i | ||||
\(466\) | 927900. | − | 2.85578e6i | 0.197941 | − | 0.609200i | ||||
\(467\) | 925773. | + | 672614.i | 0.196432 | + | 0.142716i | 0.681654 | − | 0.731675i | \(-0.261261\pi\) |
−0.485222 | + | 0.874391i | \(0.661261\pi\) | |||||||
\(468\) | −921967. | −0.194581 | ||||||||
\(469\) | 2.16975e6 | + | 1.57642e6i | 0.455489 | + | 0.330932i | ||||
\(470\) | 2.13581e6 | + | 302842.i | 0.445982 | + | 0.0632371i | ||||
\(471\) | 636527. | − | 462464.i | 0.132210 | − | 0.0960562i | ||||
\(472\) | 1.12751e6 | − | 819182.i | 0.232951 | − | 0.169249i | ||||
\(473\) | −431861. | − | 1.32913e6i | −0.0887547 | − | 0.273159i | ||||
\(474\) | −1.46031e6 | −0.298537 | ||||||||
\(475\) | 2.04549e6 | − | 738814.i | 0.415971 | − | 0.150245i | ||||
\(476\) | −3.24149e6 | −0.655734 | ||||||||
\(477\) | 210539. | + | 647972.i | 0.0423679 | + | 0.130395i | ||||
\(478\) | −2.50518e6 | + | 1.82012e6i | −0.501497 | + | 0.364359i | ||||
\(479\) | −172686. | + | 125464.i | −0.0343890 | + | 0.0249850i | −0.604847 | − | 0.796342i | \(-0.706766\pi\) |
0.570458 | + | 0.821327i | \(0.306766\pi\) | |||||||
\(480\) | −226413. | + | 462772.i | −0.0448537 | + | 0.0916778i | ||||
\(481\) | 3.79933e6 | + | 2.76037e6i | 0.748763 | + | 0.544008i | ||||
\(482\) | 4.36555e6 | 0.855897 | ||||||||
\(483\) | 1.18581e6 | + | 861539.i | 0.231284 | + | 0.168038i | ||||
\(484\) | 767959. | − | 2.36353e6i | 0.149013 | − | 0.458615i | ||||
\(485\) | 1.44206e6 | − | 2.94746e6i | 0.278374 | − | 0.568976i | ||||
\(486\) | −72988.6 | − | 224636.i | −0.0140173 | − | 0.0431408i | ||||
\(487\) | −746522. | + | 2.29756e6i | −0.142633 | + | 0.438980i | −0.996699 | − | 0.0811852i | \(-0.974129\pi\) |
0.854066 | + | 0.520165i | \(0.174129\pi\) | |||||||
\(488\) | −792836. | + | 2.44010e6i | −0.150707 | + | 0.463829i | ||||
\(489\) | −481332. | − | 1.48139e6i | −0.0910276 | − | 0.280154i | ||||
\(490\) | −1.35779e6 | − | 1.31442e6i | −0.255471 | − | 0.247312i | ||||
\(491\) | 2.68389e6 | − | 8.26015e6i | 0.502412 | − | 1.54627i | −0.302665 | − | 0.953097i | \(-0.597876\pi\) |
0.805078 | − | 0.593169i | \(-0.202124\pi\) | |||||||
\(492\) | −405023. | − | 294266.i | −0.0754339 | − | 0.0548059i | ||||
\(493\) | −1.30395e7 | −2.41626 | ||||||||
\(494\) | 1.60215e6 | + | 1.16403e6i | 0.295383 | + | 0.214608i | ||||
\(495\) | −2.25024e6 | + | 1.19293e6i | −0.412777 | + | 0.218828i | ||||
\(496\) | −1.77139e6 | + | 1.28699e6i | −0.323304 | + | 0.234894i | ||||
\(497\) | −5.20676e6 | + | 3.78293e6i | −0.945533 | + | 0.686970i | ||||
\(498\) | 965589. | + | 2.97178e6i | 0.174469 | + | 0.536961i | ||||
\(499\) | 5.48868e6 | 0.986771 | 0.493386 | − | 0.869811i | \(-0.335759\pi\) | ||||
0.493386 | + | 0.869811i | \(0.335759\pi\) | |||||||
\(500\) | −1.38862e6 | − | 2.42575e6i | −0.248404 | − | 0.433931i | ||||
\(501\) | 3.27752e6 | 0.583379 | ||||||||
\(502\) | 2.11000e6 | + | 6.49392e6i | 0.373701 | + | 1.15013i | ||||
\(503\) | −638529. | + | 463918.i | −0.112528 | + | 0.0817564i | −0.642626 | − | 0.766180i | \(-0.722155\pi\) |
0.530098 | + | 0.847936i | \(0.322155\pi\) | |||||||
\(504\) | −383365. | + | 278531.i | −0.0672258 | + | 0.0488424i | ||||
\(505\) | −8.33373e6 | + | 4.41801e6i | −1.45416 | + | 0.770900i | ||||
\(506\) | 3.24296e6 | + | 2.35615e6i | 0.563075 | + | 0.409098i | ||||
\(507\) | 1.21310e6 | 0.209593 | ||||||||
\(508\) | 3.88873e6 | + | 2.82533e6i | 0.668572 | + | 0.485746i | ||||
\(509\) | 671664. | − | 2.06717e6i | 0.114910 | − | 0.353656i | −0.877018 | − | 0.480457i | \(-0.840471\pi\) |
0.991928 | + | 0.126801i | \(0.0404709\pi\) | |||||||
\(510\) | 3.20466e6 | + | 3.10232e6i | 0.545578 | + | 0.528154i | ||||
\(511\) | 922146. | + | 2.83807e6i | 0.156224 | + | 0.480808i | ||||
\(512\) | −81007.0 | + | 249314.i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | −156778. | + | 482512.i | −0.0263021 | + | 0.0809496i | ||||
\(514\) | −517021. | − | 1.59123e6i | −0.0863178 | − | 0.265659i | ||||
\(515\) | 1.46564e6 | − | 2.99566e6i | 0.243505 | − | 0.497708i | ||||
\(516\) | −110562. | + | 340275.i | −0.0182802 | + | 0.0562608i | ||||
\(517\) | 4.38993e6 | + | 3.18947e6i | 0.722322 | + | 0.524798i | ||||
\(518\) | 2.41373e6 | 0.395243 | ||||||||
\(519\) | 5.16408e6 | + | 3.75192e6i | 0.841540 | + | 0.611414i | ||||
\(520\) | 1.11853e6 | − | 2.28620e6i | 0.181401 | − | 0.370772i | ||||
\(521\) | −7.81796e6 | + | 5.68008e6i | −1.26182 | + | 0.916769i | −0.998846 | − | 0.0480326i | \(-0.984705\pi\) |
−0.262979 | + | 0.964802i | \(0.584705\pi\) | |||||||
\(522\) | −1.54216e6 | + | 1.12044e6i | −0.247715 | + | 0.179975i | ||||
\(523\) | 453933. | + | 1.39706e6i | 0.0725667 | + | 0.223337i | 0.980761 | − | 0.195211i | \(-0.0625391\pi\) |
−0.908195 | + | 0.418548i | \(0.862539\pi\) | |||||||
\(524\) | −4.09929e6 | −0.652199 | ||||||||
\(525\) | −83413.7 | − | 2.56953e6i | −0.0132081 | − | 0.406869i | ||||
\(526\) | −7.55483e6 | −1.19059 | ||||||||
\(527\) | 5.85781e6 | + | 1.80285e7i | 0.918774 | + | 2.82770i | ||||
\(528\) | −1.04843e6 | + | 761731.i | −0.163665 | + | 0.118910i | ||||
\(529\) | 2.63905e6 | − | 1.91738e6i | 0.410022 | − | 0.297899i | ||||
\(530\) | −1.86221e6 | − | 264048.i | −0.287964 | − | 0.0408312i | ||||
\(531\) | −1.42700e6 | − | 1.03678e6i | −0.219628 | − | 0.159569i | ||||
\(532\) | 1.01785e6 | 0.155921 | ||||||||
\(533\) | 2.00091e6 | + | 1.45375e6i | 0.305077 | + | 0.221651i | ||||
\(534\) | −1.08299e6 | + | 3.33310e6i | −0.164351 | + | 0.505819i | ||||
\(535\) | −2.06868e6 | + | 1.09668e6i | −0.312470 | + | 0.165652i | ||||
\(536\) | −580264. | − | 1.78587e6i | −0.0872396 | − | 0.268496i | ||||
\(537\) | −234503. | + | 721726.i | −0.0350924 | + | 0.108003i | ||||
\(538\) | 266133. | − | 819074.i | 0.0396409 | − | 0.122002i | ||||
\(539\) | −1.46896e6 | − | 4.52100e6i | −0.217790 | − | 0.670289i | ||||
\(540\) | 645580. | + | 91538.7i | 0.0952721 | + | 0.0135089i | ||||
\(541\) | −881683. | + | 2.71354e6i | −0.129515 | + | 0.398605i | −0.994697 | − | 0.102853i | \(-0.967203\pi\) |
0.865182 | + | 0.501458i | \(0.167203\pi\) | |||||||
\(542\) | −2.32440e6 | − | 1.68878e6i | −0.339871 | − | 0.246930i | ||||
\(543\) | 3.37428e6 | 0.491113 | ||||||||
\(544\) | 1.83609e6 | + | 1.33400e6i | 0.266009 | + | 0.193267i | ||||
\(545\) | 1.55170e6 | + | 8.86376e6i | 0.223778 | + | 1.27828i | ||||
\(546\) | 1.89391e6 | − | 1.37601e6i | 0.271881 | − | 0.197533i | ||||
\(547\) | 3.24829e6 | − | 2.36002e6i | 0.464180 | − | 0.337247i | −0.330989 | − | 0.943635i | \(-0.607382\pi\) |
0.795169 | + | 0.606388i | \(0.207382\pi\) | |||||||
\(548\) | 214608. | + | 660497.i | 0.0305278 | + | 0.0939548i | ||||
\(549\) | 3.24718e6 | 0.459807 | ||||||||
\(550\) | −228121. | − | 7.02719e6i | −0.0321558 | − | 0.990547i | ||||
\(551\) | 4.09449e6 | 0.574541 | ||||||||
\(552\) | −317124. | − | 976007.i | −0.0442977 | − | 0.136334i | ||||
\(553\) | 2.99978e6 | − | 2.17946e6i | 0.417134 | − | 0.303066i | ||||
\(554\) | 1.82435e6 | − | 1.32547e6i | 0.252542 | − | 0.183482i | ||||
\(555\) | −2.38630e6 | − | 2.31009e6i | −0.328846 | − | 0.318344i | ||||
\(556\) | 228652. | + | 166125.i | 0.0313681 | + | 0.0227902i | ||||
\(557\) | −5.98510e6 | −0.817397 | −0.408699 | − | 0.912669i | \(-0.634017\pi\) | ||||
−0.408699 | + | 0.912669i | \(0.634017\pi\) | |||||||
\(558\) | 2.24192e6 | + | 1.62885e6i | 0.304814 | + | 0.221460i | ||||
\(559\) | 546203. | − | 1.68104e6i | 0.0739307 | − | 0.227535i | ||||
\(560\) | −225574. | − | 1.28854e6i | −0.0303962 | − | 0.173632i | ||||
\(561\) | 3.46706e6 | + | 1.06705e7i | 0.465108 | + | 1.43146i | ||||
\(562\) | 728566. | − | 2.24230e6i | 0.0973034 | − | 0.299469i | ||||
\(563\) | −2.80534e6 | + | 8.63396e6i | −0.373006 | + | 1.14799i | 0.571809 | + | 0.820387i | \(0.306242\pi\) |
−0.944814 | + | 0.327606i | \(0.893758\pi\) | |||||||
\(564\) | −429283. | − | 1.32120e6i | −0.0568259 | − | 0.174892i | ||||
\(565\) | 147154. | + | 840584.i | 0.0193933 | + | 0.110780i | ||||
\(566\) | −1.74318e6 | + | 5.36496e6i | −0.228718 | + | 0.703923i | ||||
\(567\) | 485196. | + | 352515.i | 0.0633810 | + | 0.0460490i | ||||
\(568\) | 4.50610e6 | 0.586044 | ||||||||
\(569\) | 1.04219e6 | + | 757197.i | 0.134948 | + | 0.0980457i | 0.653212 | − | 0.757175i | \(-0.273421\pi\) |
−0.518263 | + | 0.855221i | \(0.673421\pi\) | |||||||
\(570\) | −1.00628e6 | − | 974147.i | −0.129728 | − | 0.125585i | ||||
\(571\) | 593034. | − | 430864.i | 0.0761183 | − | 0.0553032i | −0.549075 | − | 0.835773i | \(-0.685020\pi\) |
0.625194 | + | 0.780470i | \(0.285020\pi\) | |||||||
\(572\) | 5.17951e6 | − | 3.76313e6i | 0.661909 | − | 0.480905i | ||||
\(573\) | 1.59863e6 | + | 4.92008e6i | 0.203405 | + | 0.626016i | ||||
\(574\) | 1.27118e6 | 0.161038 | ||||||||
\(575\) | 5.34821e6 | + | 1.54780e6i | 0.674589 | + | 0.195229i | ||||
\(576\) | 331776. | 0.0416667 | ||||||||
\(577\) | 1.17647e6 | + | 3.62080e6i | 0.147110 | + | 0.452757i | 0.997276 | − | 0.0737568i | \(-0.0234989\pi\) |
−0.850167 | + | 0.526514i | \(0.823499\pi\) | |||||||
\(578\) | 1.13013e7 | − | 8.21088e6i | 1.40705 | − | 1.02228i | ||||
\(579\) | 5.25393e6 | − | 3.81720e6i | 0.651310 | − | 0.473205i | ||||
\(580\) | −907416. | − | 5.18341e6i | −0.112005 | − | 0.639802i | ||||
\(581\) | −6.41881e6 | − | 4.66354e6i | −0.788886 | − | 0.573159i | ||||
\(582\) | −2.11313e6 | −0.258594 | ||||||||
\(583\) | −3.82757e6 | − | 2.78089e6i | −0.466393 | − | 0.338854i | ||||
\(584\) | 645640. | − | 1.98708e6i | 0.0783355 | − | 0.241092i | ||||
\(585\) | −3.18932e6 | − | 452223.i | −0.385308 | − | 0.0546340i | ||||
\(586\) | 2.79607e6 | + | 8.60541e6i | 0.336359 | + | 1.03521i | ||||
\(587\) | −1.41100e6 | + | 4.34261e6i | −0.169018 | + | 0.520183i | −0.999310 | − | 0.0371455i | \(-0.988174\pi\) |
0.830292 | + | 0.557328i | \(0.188174\pi\) | |||||||
\(588\) | −376073. | + | 1.15743e6i | −0.0448569 | + | 0.138055i | ||||
\(589\) | −1.83939e6 | − | 5.66106e6i | −0.218467 | − | 0.672372i | ||||
\(590\) | 4.30214e6 | − | 2.28072e6i | 0.508809 | − | 0.269738i | ||||
\(591\) | 896572. | − | 2.75936e6i | 0.105588 | − | 0.324968i | ||||
\(592\) | −1.36721e6 | − | 993339.i | −0.160336 | − | 0.116491i | ||||
\(593\) | 1.12241e7 | 1.31073 | 0.655366 | − | 0.755312i | \(-0.272514\pi\) | ||||
0.655366 | + | 0.755312i | \(0.272514\pi\) | |||||||
\(594\) | 1.32692e6 | + | 964066.i | 0.154305 | + | 0.112109i | ||||
\(595\) | −1.12132e7 | − | 1.58995e6i | −1.29848 | − | 0.184115i | ||||
\(596\) | 5.65974e6 | − | 4.11204e6i | 0.652651 | − | 0.474178i | ||||
\(597\) | −3.87323e6 | + | 2.81407e6i | −0.444772 | + | 0.323146i | ||||
\(598\) | 1.56667e6 | + | 4.82171e6i | 0.179153 | + | 0.551376i | ||||
\(599\) | 1.28940e6 | 0.146832 | 0.0734159 | − | 0.997301i | \(-0.476610\pi\) | ||||
0.0734159 | + | 0.997301i | \(0.476610\pi\) | |||||||
\(600\) | −1.01021e6 | + | 1.48979e6i | −0.114560 | + | 0.168946i | ||||
\(601\) | −1.35813e7 | −1.53376 | −0.766879 | − | 0.641792i | \(-0.778191\pi\) | ||||
−0.766879 | + | 0.641792i | \(0.778191\pi\) | |||||||
\(602\) | −280733. | − | 864007.i | −0.0315720 | − | 0.0971686i | ||||
\(603\) | −1.92268e6 | + | 1.39691e6i | −0.215334 | + | 0.156449i | ||||
\(604\) | −5.22620e6 | + | 3.79706e6i | −0.582900 | + | 0.423502i | ||||
\(605\) | 3.81587e6 | − | 7.79938e6i | 0.423844 | − | 0.866307i | ||||
\(606\) | 4.91424e6 | + | 3.57041e6i | 0.543594 | + | 0.394944i | ||||
\(607\) | −7.38309e6 | −0.813330 | −0.406665 | − | 0.913577i | \(-0.633308\pi\) | ||||
−0.406665 | + | 0.913577i | \(0.633308\pi\) | |||||||
\(608\) | −576543. | − | 418883.i | −0.0632518 | − | 0.0459551i | ||||
\(609\) | 1.49568e6 | − | 4.60324e6i | 0.163417 | − | 0.502945i | ||||
\(610\) | −3.93949e6 | + | 8.05204e6i | −0.428662 | + | 0.876156i | ||||
\(611\) | 2.12076e6 | + | 6.52703e6i | 0.229821 | + | 0.707315i | ||||
\(612\) | 887612. | − | 2.73179e6i | 0.0957954 | − | 0.294828i | ||||
\(613\) | −506293. | + | 1.55821e6i | −0.0544191 | + | 0.167485i | −0.974572 | − | 0.224074i | \(-0.928064\pi\) |
0.920153 | + | 0.391559i | \(0.128064\pi\) | |||||||
\(614\) | −198108. | − | 609714.i | −0.0212071 | − | 0.0652687i | ||||
\(615\) | −1.25674e6 | − | 1.21660e6i | −0.133985 | − | 0.129706i | ||||
\(616\) | 1.01684e6 | − | 3.12951e6i | 0.107969 | − | 0.332295i | ||||
\(617\) | 1.00628e7 | + | 7.31106e6i | 1.06416 | + | 0.773157i | 0.974853 | − | 0.222847i | \(-0.0715351\pi\) |
0.0893059 | + | 0.996004i | \(0.471535\pi\) | |||||||
\(618\) | −2.14768e6 | −0.226203 | ||||||||
\(619\) | −7.15552e6 | − | 5.19879e6i | −0.750610 | − | 0.545350i | 0.145406 | − | 0.989372i | \(-0.453551\pi\) |
−0.896016 | + | 0.444022i | \(0.853551\pi\) | |||||||
\(620\) | −6.75896e6 | + | 3.58317e6i | −0.706156 | + | 0.374359i | ||||
\(621\) | −1.05077e6 | + | 763432.i | −0.109340 | + | 0.0794404i | ||||
\(622\) | 5.50206e6 | − | 3.99748e6i | 0.570229 | − | 0.414296i | ||||
\(623\) | −2.74987e6 | − | 8.46322e6i | −0.283852 | − | 0.873606i | ||||
\(624\) | −1.63905e6 | −0.168512 | ||||||||
\(625\) | −3.61376e6 | − | 9.07239e6i | −0.370049 | − | 0.929012i | ||||
\(626\) | 2.99922e6 | 0.305896 | ||||||||
\(627\) | −1.08868e6 | − | 3.35061e6i | −0.110594 | − | 0.340373i | ||||
\(628\) | 1.13160e6 | − | 822158.i | 0.114497 | − | 0.0831871i | ||||
\(629\) | −1.18368e7 | + | 8.59990e6i | −1.19291 | + | 0.866696i | ||||
\(630\) | −1.46277e6 | + | 775469.i | −0.146834 | + | 0.0778418i | ||||
\(631\) | −5.33749e6 | − | 3.87792e6i | −0.533659 | − | 0.387726i | 0.288066 | − | 0.957611i | \(-0.406988\pi\) |
−0.821725 | + | 0.569885i | \(0.806988\pi\) | |||||||
\(632\) | −2.59610e6 | −0.258541 | ||||||||
\(633\) | 5.42250e6 | + | 3.93967e6i | 0.537886 | + | 0.390797i | ||||
\(634\) | −795072. | + | 2.44698e6i | −0.0785567 | + | 0.241773i | ||||
\(635\) | 1.20663e7 | + | 1.16809e7i | 1.18752 | + | 1.14959i | ||||
\(636\) | 374291. | + | 1.15195e6i | 0.0366916 | + | 0.112925i | ||||
\(637\) | 1.85789e6 | − | 5.71800e6i | 0.181414 | − | 0.558336i | ||||
\(638\) | 4.09042e6 | − | 1.25890e7i | 0.397848 | − | 1.22445i | ||||
\(639\) | −1.76233e6 | − | 5.42391e6i | −0.170740 | − | 0.525485i | ||||
\(640\) | −402512. | + | 822706.i | −0.0388444 | + | 0.0793953i | ||||
\(641\) | 3.55765e6 | − | 1.09493e7i | 0.341993 | − | 1.05255i | −0.621180 | − | 0.783668i | \(-0.713347\pi\) |
0.963174 | − | 0.268880i | \(-0.0866534\pi\) | |||||||
\(642\) | 1.21986e6 | + | 886281.i | 0.116808 | + | 0.0848661i | ||||
\(643\) | 48772.9 | 0.00465212 | 0.00232606 | − | 0.999997i | \(-0.499260\pi\) | ||||
0.00232606 | + | 0.999997i | \(0.499260\pi\) | |||||||
\(644\) | 2.10810e6 | + | 1.53162e6i | 0.200298 | + | 0.145525i | ||||
\(645\) | −549367. | + | 1.12287e6i | −0.0519952 | + | 0.106275i | ||||
\(646\) | −4.99146e6 | + | 3.62651e6i | −0.470594 | + | 0.341907i | ||||
\(647\) | −1.43172e7 | + | 1.04021e7i | −1.34461 | + | 0.976919i | −0.345354 | + | 0.938473i | \(0.612241\pi\) |
−0.999261 | + | 0.0384467i | \(0.987759\pi\) | |||||||
\(648\) | −129757. | − | 399352.i | −0.0121393 | − | 0.0373610i | ||||
\(649\) | 1.22485e7 | 1.14148 | ||||||||
\(650\) | 4.99067e6 | − | 7.35993e6i | 0.463314 | − | 0.683266i | ||||
\(651\) | −7.03638e6 | −0.650724 | ||||||||
\(652\) | −855702. | − | 2.63358e6i | −0.0788322 | − | 0.242620i | ||||
\(653\) | 6.84862e6 | − | 4.97581e6i | 0.628521 | − | 0.456647i | −0.227366 | − | 0.973809i | \(-0.573012\pi\) |
0.855888 | + | 0.517162i | \(0.173012\pi\) | |||||||
\(654\) | 4.68822e6 | − | 3.40619e6i | 0.428611 | − | 0.311404i | ||||
\(655\) | −1.41805e7 | − | 2.01069e6i | −1.29148 | − | 0.183123i | ||||
\(656\) | −720040. | − | 523140.i | −0.0653277 | − | 0.0474633i | ||||
\(657\) | −2.64431e6 | −0.239001 | ||||||||
\(658\) | 2.85369e6 | + | 2.07332e6i | 0.256946 | + | 0.186682i | ||||
\(659\) | −2.22370e6 | + | 6.84386e6i | −0.199464 | + | 0.613886i | 0.800432 | + | 0.599424i | \(0.204604\pi\) |
−0.999895 | + | 0.0144619i | \(0.995396\pi\) | |||||||
\(660\) | −4.00042e6 | + | 2.12077e6i | −0.357475 | + | 0.189510i | ||||
\(661\) | −3.46478e6 | − | 1.06635e7i | −0.308441 | − | 0.949285i | −0.978371 | − | 0.206860i | \(-0.933676\pi\) |
0.669929 | − | 0.742425i | \(-0.266324\pi\) | |||||||
\(662\) | 719267. | − | 2.21368e6i | 0.0637889 | − | 0.196322i | ||||
\(663\) | −4.38502e6 | + | 1.34957e7i | −0.387425 | + | 1.19237i | ||||
\(664\) | 1.71660e6 | + | 5.28316e6i | 0.151095 | + | 0.465022i | ||||
\(665\) | 3.52100e6 | + | 499253.i | 0.308754 | + | 0.0437791i | ||||
\(666\) | −660946. | + | 2.03418e6i | −0.0577405 | + | 0.177707i | ||||
\(667\) | 8.48023e6 | + | 6.16125e6i | 0.738062 | + | 0.536234i | ||||
\(668\) | 5.82670e6 | 0.505221 | ||||||||
\(669\) | 7.43187e6 | + | 5.39957e6i | 0.641997 | + | 0.466438i | ||||
\(670\) | −1.13132e6 | − | 6.46239e6i | −0.0973637 | − | 0.556169i | ||||
\(671\) | −1.82423e7 | + | 1.32538e7i | −1.56413 | + | 1.13641i | ||||
\(672\) | −681537. | + | 495166.i | −0.0582192 | + | 0.0422987i | ||||
\(673\) | −642564. | − | 1.97761e6i | −0.0546863 | − | 0.168307i | 0.919983 | − | 0.391959i | \(-0.128202\pi\) |
−0.974669 | + | 0.223651i | \(0.928202\pi\) | |||||||
\(674\) | −9.39882e6 | −0.796936 | ||||||||
\(675\) | 2.18833e6 | + | 633311.i | 0.184864 | + | 0.0535005i | ||||
\(676\) | 2.15662e6 | 0.181513 | ||||||||
\(677\) | 5.33624e6 | + | 1.64233e7i | 0.447470 | + | 1.37717i | 0.879752 | + | 0.475432i | \(0.157708\pi\) |
−0.432282 | + | 0.901738i | \(0.642292\pi\) | |||||||
\(678\) | 444602. | − | 323022.i | 0.0371447 | − | 0.0269872i | ||||
\(679\) | 4.34081e6 | − | 3.15378e6i | 0.361324 | − | 0.262517i | ||||
\(680\) | 5.69717e6 | + | 5.51523e6i | 0.472484 | + | 0.457395i | ||||
\(681\) | −3.91519e6 | − | 2.84455e6i | −0.323508 | − | 0.235042i | ||||
\(682\) | −1.92432e7 | −1.58422 | ||||||||
\(683\) | −6.37421e6 | − | 4.63114e6i | −0.522847 | − | 0.379871i | 0.294828 | − | 0.955550i | \(-0.404738\pi\) |
−0.817675 | + | 0.575680i | \(0.804738\pi\) | |||||||
\(684\) | −278716. | + | 857799.i | −0.0227783 | + | 0.0701044i | ||||
\(685\) | 418413. | + | 2.39009e6i | 0.0340705 | + | 0.194620i | ||||
\(686\) | −2.85389e6 | − | 8.78337e6i | −0.231540 | − | 0.712608i | ||||
\(687\) | 4.05493e6 | − | 1.24798e7i | 0.327787 | − | 1.00883i | ||||
\(688\) | −196555. | + | 604934.i | −0.0158312 | + | 0.0487233i | ||||
\(689\) | −1.84909e6 | − | 5.69091e6i | −0.148392 | − | 0.456703i | ||||
\(690\) | −618283. | − | 3.53181e6i | −0.0494384 | − | 0.282406i | ||||
\(691\) | −160479. | + | 493903.i | −0.0127856 | + | 0.0393502i | −0.957246 | − | 0.289276i | \(-0.906586\pi\) |
0.944460 | + | 0.328626i | \(0.106586\pi\) | |||||||
\(692\) | 9.18059e6 | + | 6.67009e6i | 0.728795 | + | 0.529500i | ||||
\(693\) | −4.16461e6 | −0.329414 | ||||||||
\(694\) | −1.01236e7 | − | 7.35521e6i | −0.797876 | − | 0.579691i | ||||
\(695\) | 709481. | + | 686823.i | 0.0557158 | + | 0.0539365i | ||||
\(696\) | −2.74161e6 | + | 1.99190e6i | −0.214527 | + | 0.155863i | ||||
\(697\) | −6.23380e6 | + | 4.52912e6i | −0.486039 | + | 0.353128i | ||||
\(698\) | −2.37401e6 | − | 7.30644e6i | −0.184435 | − | 0.567633i | ||||
\(699\) | −6.75618e6 | −0.523008 | ||||||||
\(700\) | −148291. | − | 4.56805e6i | −0.0114385 | − | 0.352359i | ||||
\(701\) | −1.23274e7 | −0.947498 | −0.473749 | − | 0.880660i | \(-0.657100\pi\) | ||||
−0.473749 | + | 0.880660i | \(0.657100\pi\) | |||||||
\(702\) | 641033. | + | 1.97290e6i | 0.0490950 | + | 0.151099i | ||||
\(703\) | 3.71681e6 | − | 2.70042e6i | 0.283650 | − | 0.206084i | ||||
\(704\) | −1.86388e6 | + | 1.35419e6i | −0.141738 | + | 0.102979i | ||||
\(705\) | −836955. | − | 4.78092e6i | −0.0634205 | − | 0.362276i | ||||
\(706\) | −6.08262e6 | − | 4.41928e6i | −0.459281 | − | 0.333687i | ||||
\(707\) | −1.54236e7 | −1.16048 | ||||||||
\(708\) | −2.53689e6 | − | 1.84316e6i | −0.190204 | − | 0.138191i | ||||
\(709\) | 916853. | − | 2.82178e6i | 0.0684990 | − | 0.210818i | −0.910948 | − | 0.412522i | \(-0.864648\pi\) |
0.979447 | + | 0.201704i | \(0.0646479\pi\) | |||||||
\(710\) | 1.55877e7 | + | 2.21023e6i | 1.16048 | + | 0.164548i | ||||
\(711\) | 1.01533e6 | + | 3.12488e6i | 0.0753243 | + | 0.231824i | ||||
\(712\) | −1.92532e6 | + | 5.92552e6i | −0.142332 | + | 0.438053i | ||||
\(713\) | 4.70895e6 | − | 1.44926e7i | 0.346896 | − | 1.06764i | ||||
\(714\) | 2.25377e6 | + | 6.93640e6i | 0.165449 | + | 0.509200i | ||||
\(715\) | 1.97630e7 | − | 1.04771e7i | 1.44573 | − | 0.766436i | ||||
\(716\) | −416894. | + | 1.28307e6i | −0.0303909 | + | 0.0935336i | ||||
\(717\) | 5.63665e6 | + | 4.09526e6i | 0.409471 | + | 0.297498i | ||||
\(718\) | −7.56128e6 | −0.547374 | ||||||||
\(719\) | 6.33889e6 | + | 4.60547e6i | 0.457289 | + | 0.332240i | 0.792467 | − | 0.609915i | \(-0.208796\pi\) |
−0.335178 | + | 0.942155i | \(0.608796\pi\) | |||||||
\(720\) | 1.14770e6 | + | 162735.i | 0.0825080 | + | 0.0116991i | ||||
\(721\) | 4.41179e6 | − | 3.20535e6i | 0.316065 | − | 0.229635i | ||||
\(722\) | −6.44547e6 | + | 4.68291e6i | −0.460163 | + | 0.334328i | ||||
\(723\) | −3.03532e6 | − | 9.34175e6i | −0.215953 | − | 0.664634i | ||||
\(724\) | 5.99872e6 | 0.425316 | ||||||||
\(725\) | −596528. | − | 1.83758e7i | −0.0421489 | − | 1.29838i | ||||
\(726\) | −5.59163e6 | −0.393728 | ||||||||
\(727\) | −2.94120e6 | − | 9.05210e6i | −0.206390 | − | 0.635204i | −0.999653 | − | 0.0263249i | \(-0.991620\pi\) |
0.793263 | − | 0.608879i | \(-0.208380\pi\) | |||||||
\(728\) | 3.36696e6 | − | 2.44624e6i | 0.235456 | − | 0.171068i | ||||
\(729\) | −429945. | + | 312373.i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | 3.20809e6 | − | 6.55712e6i | 0.222812 | − | 0.455413i | ||||
\(731\) | 4.45508e6 | + | 3.23680e6i | 0.308363 | + | 0.224039i | ||||
\(732\) | 5.77276e6 | 0.398204 | ||||||||
\(733\) | −7.26082e6 | − | 5.27529e6i | −0.499144 | − | 0.362649i | 0.309546 | − | 0.950884i | \(-0.399823\pi\) |
−0.808690 | + | 0.588235i | \(0.799823\pi\) | |||||||
\(734\) | −591320. | + | 1.81990e6i | −0.0405119 | + | 0.124683i | ||||
\(735\) | −1.86865e6 | + | 3.81940e6i | −0.127588 | + | 0.260781i | ||||
\(736\) | −563776. | − | 1.73512e6i | −0.0383630 | − | 0.118069i | ||||
\(737\) | 5.09972e6 | − | 1.56953e7i | 0.345842 | − | 1.06439i | ||||
\(738\) | −348086. | + | 1.07130e6i | −0.0235259 | + | 0.0724052i | ||||
\(739\) | −810143. | − | 2.49336e6i | −0.0545696 | − | 0.167948i | 0.920057 | − | 0.391784i | \(-0.128142\pi\) |
−0.974627 | + | 0.223836i | \(0.928142\pi\) | |||||||
\(740\) | −4.24231e6 | − | 4.10683e6i | −0.284789 | − | 0.275694i | ||||
\(741\) | 1.37692e6 | − | 4.23773e6i | 0.0921221 | − | 0.283523i | ||||
\(742\) | −2.48812e6 | − | 1.80773e6i | −0.165906 | − | 0.120538i | ||||
\(743\) | 1.31949e7 | 0.876865 | 0.438433 | − | 0.898764i | \(-0.355534\pi\) | ||||
0.438433 | + | 0.898764i | \(0.355534\pi\) | |||||||
\(744\) | 3.98563e6 | + | 2.89573e6i | 0.263976 | + | 0.191790i | ||||
\(745\) | 2.15954e7 | − | 1.14485e7i | 1.42551 | − | 0.755715i | ||||
\(746\) | 3.97610e6 | − | 2.88881e6i | 0.261584 | − | 0.190052i | ||||
\(747\) | 5.68787e6 | − | 4.13248e6i | 0.372948 | − | 0.270963i | ||||
\(748\) | 6.16366e6 | + | 1.89698e7i | 0.402796 | + | 1.23968i | ||||
\(749\) | −3.82860e6 | −0.249365 | ||||||||
\(750\) | −4.22531e6 | + | 4.65806e6i | −0.274287 | + | 0.302379i | ||||
\(751\) | 2.48476e7 | 1.60763 | 0.803814 | − | 0.594881i | \(-0.202801\pi\) | ||||
0.803814 | + | 0.594881i | \(0.202801\pi\) | |||||||
\(752\) | −763170. | − | 2.34880e6i | −0.0492127 | − | 0.151461i | ||||
\(753\) | 1.24291e7 | − | 9.03030e6i | 0.798828 | − | 0.580383i | ||||
\(754\) | 1.35442e7 | − | 9.84044e6i | 0.867611 | − | 0.630357i | ||||
\(755\) | −1.99412e7 | + | 1.05716e7i | −1.27316 | + | 0.674950i | ||||
\(756\) | 862570. | + | 626694.i | 0.0548896 | + | 0.0398796i | ||||
\(757\) | 4.69328e6 | 0.297671 | 0.148836 | − | 0.988862i | \(-0.452447\pi\) | ||||
0.148836 | + | 0.988862i | \(0.452447\pi\) | |||||||
\(758\) | 919646. | + | 668162.i | 0.0581364 | + | 0.0422385i | ||||
\(759\) | 2.78708e6 | − | 8.57775e6i | 0.175608 | − | 0.540467i | ||||
\(760\) | −1.78895e6 | − | 1.73182e6i | −0.112348 | − | 0.108760i | ||||
\(761\) | −7.15282e6 | − | 2.20141e7i | −0.447730 | − | 1.37797i | −0.879462 | − | 0.475969i | \(-0.842098\pi\) |
0.431732 | − | 0.902002i | \(-0.357902\pi\) | |||||||
\(762\) | 3.34206e6 | − | 1.02858e7i | 0.208510 | − | 0.641728i | ||||
\(763\) | −4.54694e6 | + | 1.39940e7i | −0.282754 | + | 0.870226i | ||||
\(764\) | 2.84201e6 | + | 8.74680e6i | 0.176154 | + | 0.542145i | ||||
\(765\) | 4.41041e6 | − | 9.01458e6i | 0.272474 | − | 0.556919i | ||||
\(766\) | −3.71999e6 | + | 1.14489e7i | −0.229071 | + | 0.705007i | ||||
\(767\) | 1.25328e7 | + | 9.10564e6i | 0.769239 | + | 0.558885i | ||||
\(768\) | 589824. | 0.0360844 | ||||||||
\(769\) | −9.06143e6 | − | 6.58351e6i | −0.552562 | − | 0.401460i | 0.276167 | − | 0.961110i | \(-0.410936\pi\) |
−0.828729 | + | 0.559650i | \(0.810936\pi\) | |||||||
\(770\) | 5.05252e6 | − | 1.03270e7i | 0.307101 | − | 0.627694i | ||||
\(771\) | −3.04555e6 | + | 2.21272e6i | −0.184514 | + | 0.134057i | ||||
\(772\) | 9.34032e6 | − | 6.78614e6i | 0.564051 | − | 0.409807i | ||||
\(773\) | −8.12741e6 | − | 2.50136e7i | −0.489219 | − | 1.50566i | −0.825775 | − | 0.563999i | \(-0.809262\pi\) |
0.336556 | − | 0.941663i | \(-0.390738\pi\) | |||||||
\(774\) | 805020. | 0.0483008 | ||||||||
\(775\) | −2.51385e7 | + | 9.07983e6i | −1.50344 | + | 0.543030i | ||||
\(776\) | −3.75668e6 | −0.223949 | ||||||||
\(777\) | −1.67824e6 | − | 5.16508e6i | −0.0997242 | − | 0.306920i | ||||
\(778\) | 8.21929e6 | − | 5.97167e6i | 0.486839 | − | 0.353709i | ||||
\(779\) | 1.95745e6 | − | 1.42217e6i | 0.115571 | − | 0.0839670i | ||||
\(780\) | −5.66990e6 | − | 803952.i | −0.333687 | − | 0.0473144i | ||||
\(781\) | 3.20390e7 | + | 2.32777e7i | 1.87954 | + | 1.36556i | ||||
\(782\) | −1.57950e7 | −0.923641 | ||||||||
\(783\) | 3.46985e6 | + | 2.52099e6i | 0.202258 | + | 0.146949i | ||||
\(784\) | −668575. | + | 2.05766e6i | −0.0388472 | + | 0.119559i | ||||
\(785\) | 4.31777e6 | − | 2.28900e6i | 0.250084 | − | 0.132578i | ||||
\(786\) | 2.85019e6 | + | 8.77197e6i | 0.164557 | + | 0.506455i | ||||
\(787\) | 3.14264e6 | − | 9.67205e6i | 0.180866 | − | 0.556650i | −0.818986 | − | 0.573813i | \(-0.805464\pi\) |
0.999853 | + | 0.0171635i | \(0.00546358\pi\) | |||||||
\(788\) | 1.59391e6 | − | 4.90554e6i | 0.0914423 | − | 0.281430i | ||||
\(789\) | 5.25279e6 | + | 1.61664e7i | 0.300398 | + | 0.924531i | ||||
\(790\) | −8.98058e6 | − | 1.27338e6i | −0.511961 | − | 0.0725924i | ||||
\(791\) | −431204. | + | 1.32711e6i | −0.0245043 | + | 0.0754164i | ||||
\(792\) | 2.35897e6 | + | 1.71389e6i | 0.133632 | + | 0.0970892i | ||||
\(793\) | −2.85188e7 | −1.61045 | ||||||||
\(794\) | −4.63887e6 | − | 3.37034e6i | −0.261132 | − | 0.189724i | ||||
\(795\) | 729740. | + | 4.16848e6i | 0.0409497 | + | 0.233916i | ||||
\(796\) | −6.88575e6 | + | 5.00279e6i | −0.385184 | + | 0.279853i | ||||
\(797\) | 7.97603e6 | − | 5.79492e6i | 0.444775 | − | 0.323148i | −0.342754 | − | 0.939425i | \(-0.611360\pi\) |
0.787530 | + | 0.616277i | \(0.211360\pi\) | |||||||
\(798\) | −707699. | − | 2.17807e6i | −0.0393406 | − | 0.121078i | ||||
\(799\) | −2.13813e7 | −1.18486 | ||||||||
\(800\) | −1.79593e6 | + | 2.64852e6i | −0.0992118 | + | 0.146311i | ||||
\(801\) | 7.88542e6 | 0.434254 | ||||||||
\(802\) | 5.77844e6 | + | 1.77842e7i | 0.317230 | + | 0.976334i | ||||
\(803\) | 1.48555e7 | − | 1.07931e7i | 0.813013 | − | 0.590688i | ||||
\(804\) | −3.41809e6 | + | 2.48339e6i | −0.186485 | + | 0.135489i | ||||
\(805\) | 6.54120e6 | + | 6.33230e6i | 0.355769 | + | 0.344407i | ||||
\(806\) | −1.96900e7 | − | 1.43056e7i | −1.06760 | − | 0.775655i | ||||
\(807\) | −1.93776e6 | −0.104741 | ||||||||
\(808\) | 8.73643e6 | + | 6.34739e6i | 0.470767 | + | 0.342032i | ||||
\(809\) | −8.46418e6 | + | 2.60501e7i | −0.454688 | + | 1.39939i | 0.416813 | + | 0.908992i | \(0.363147\pi\) |
−0.871501 | + | 0.490393i | \(0.836853\pi\) | |||||||
\(810\) | −252983. | − | 1.44511e6i | −0.0135481 | − | 0.0773905i | ||||
\(811\) | 1.12030e7 | + | 3.44793e7i | 0.598112 | + | 1.84080i | 0.538580 | + | 0.842574i | \(0.318961\pi\) |
0.0595323 | + | 0.998226i | \(0.481039\pi\) | |||||||
\(812\) | 2.65899e6 | − | 8.18354e6i | 0.141523 | − | 0.435563i | ||||
\(813\) | −1.99765e6 | + | 6.14813e6i | −0.105997 | + | 0.326225i | ||||
\(814\) | −4.58967e6 | − | 1.41256e7i | −0.242784 | − | 0.747213i | ||||
\(815\) | −1.66833e6 | − | 9.52994e6i | −0.0879806 | − | 0.502570i | ||||
\(816\) | 1.57798e6 | − | 4.85651e6i | 0.0829613 | − | 0.255329i | ||||
\(817\) | −1.39892e6 | − | 1.01638e6i | −0.0733227 | − | 0.0532720i | ||||
\(818\) | −1.96400e7 | −1.02626 | ||||||||
\(819\) | −4.26130e6 | − | 3.09602e6i | −0.221990 | − | 0.161285i | ||||
\(820\) | −2.23420e6 | − | 2.16285e6i | −0.116035 | − | 0.112329i | ||||
\(821\) | −2.37158e7 | + | 1.72306e7i | −1.22795 | + | 0.892158i | −0.996735 | − | 0.0807444i | \(-0.974270\pi\) |
−0.231215 | + | 0.972903i | \(0.574270\pi\) | |||||||
\(822\) | 1.26417e6 | − | 918471.i | 0.0652567 | − | 0.0474117i | ||||
\(823\) | −2.53601e6 | − | 7.80504e6i | −0.130512 | − | 0.401676i | 0.864353 | − | 0.502886i | \(-0.167729\pi\) |
−0.994865 | + | 0.101210i | \(0.967729\pi\) | |||||||
\(824\) | −3.81811e6 | −0.195898 | ||||||||
\(825\) | −1.48787e7 | + | 5.37407e6i | −0.761080 | + | 0.274896i | ||||
\(826\) | 7.96216e6 | 0.406051 | ||||||||
\(827\) | 4.75800e6 | + | 1.46436e7i | 0.241914 | + | 0.744535i | 0.996129 | + | 0.0879069i | \(0.0280178\pi\) |
−0.754215 | + | 0.656628i | \(0.771982\pi\) | |||||||
\(828\) | −1.86804e6 | + | 1.35721e6i | −0.0946915 | + | 0.0687974i | ||||
\(829\) | 7.11417e6 | − | 5.16875e6i | 0.359532 | − | 0.261216i | −0.393325 | − | 0.919400i | \(-0.628675\pi\) |
0.752857 | + | 0.658184i | \(0.228675\pi\) | |||||||
\(830\) | 3.34679e6 | + | 1.91178e7i | 0.168629 | + | 0.963257i | ||||
\(831\) | −4.10478e6 | − | 2.98230e6i | −0.206199 | − | 0.149813i | ||||
\(832\) | −2.91387e6 | −0.145936 | ||||||||
\(833\) | 1.51538e7 | + | 1.10099e7i | 0.756674 | + | 0.549756i | ||||
\(834\) | 196509. | − | 604792.i | 0.00978288 | − | 0.0301086i | ||||
\(835\) | 2.01560e7 | + | 2.85798e6i | 1.00044 | + | 0.141855i | ||||
\(836\) | −1.93543e6 | − | 5.95663e6i | −0.0957770 | − | 0.294771i | ||||
\(837\) | 1.92676e6 | − | 5.92995e6i | 0.0950634 | − | 0.292575i | ||||
\(838\) | −7.47180e6 | + | 2.29958e7i | −0.367549 | + | 1.13120i | ||||
\(839\) | 8.34015e6 | + | 2.56683e7i | 0.409043 | + | 1.25891i | 0.917472 | + | 0.397801i | \(0.130227\pi\) |
−0.508429 | + | 0.861104i | \(0.669773\pi\) | |||||||
\(840\) | −2.60049e6 | + | 1.37861e6i | −0.127162 | + | 0.0674130i | ||||
\(841\) | 4.35801e6 | − | 1.34126e7i | 0.212470 | − | 0.653916i | ||||
\(842\) | 1.36898e7 | + | 9.94621e6i | 0.665451 | + | 0.483479i | ||||
\(843\) | −5.30480e6 | −0.257099 | ||||||||
\(844\) | 9.63999e6 | + | 7.00387e6i | 0.465823 | + | 0.338440i | ||||
\(845\) | 7.46030e6 | + | 1.05782e6i | 0.359430 | + | 0.0509646i | ||||
\(846\) | −2.52873e6 | + | 1.83723e6i | −0.121472 | + | 0.0882545i | ||||
\(847\) | 1.14864e7 | − | 8.34533e6i | 0.550141 | − | 0.399701i | ||||
\(848\) | 665407. | + | 2.04791e6i | 0.0317759 | + | 0.0977961i | ||||
\(849\) | 1.26924e7 | 0.604329 | ||||||||
\(850\) | 1.70028e7 | + | 2.18730e7i | 0.807184 | + | 1.03839i | ||||
\(851\) | 1.17615e7 | 0.556723 | ||||||||
\(852\) | −3.13304e6 | − | 9.64250e6i | −0.147865 | − | 0.455083i | ||||
\(853\) | 6.61947e6 | − | 4.80932e6i | 0.311495 | − | 0.226314i | −0.421043 | − | 0.907041i | \(-0.638336\pi\) |
0.732538 | + | 0.680727i | \(0.238336\pi\) | |||||||
\(854\) | −1.18585e7 | + | 8.61567e6i | −0.556395 | + | 0.404245i | ||||
\(855\) | −1.38490e6 | + | 2.83064e6i | −0.0647892 | + | 0.132425i | ||||
\(856\) | 2.16864e6 | + | 1.57561e6i | 0.101159 | + | 0.0734962i | ||||
\(857\) | −2.02079e6 | −0.0939871 | −0.0469935 | − | 0.998895i | \(-0.514964\pi\) | ||||
−0.0469935 | + | 0.998895i | \(0.514964\pi\) | |||||||
\(858\) | −1.16539e7 | − | 8.46704e6i | −0.540446 | − | 0.392657i | ||||
\(859\) | −4.97624e6 | + | 1.53153e7i | −0.230101 | + | 0.708177i | 0.767633 | + | 0.640890i | \(0.221434\pi\) |
−0.997734 | + | 0.0672875i | \(0.978566\pi\) | |||||||
\(860\) | −976652. | + | 1.99621e6i | −0.0450292 | + | 0.0920365i | ||||
\(861\) | −883840. | − | 2.72018e6i | −0.0406318 | − | 0.125052i | ||||
\(862\) | −6.81129e6 | + | 2.09630e7i | −0.312220 | + | 0.960915i | ||||
\(863\) | 5.09548e6 | − | 1.56823e7i | 0.232894 | − | 0.716774i | −0.764500 | − | 0.644624i | \(-0.777014\pi\) |
0.997394 | − | 0.0721498i | \(-0.0229860\pi\) | |||||||
\(864\) | −230680. | − | 709960.i | −0.0105130 | − | 0.0323556i | ||||
\(865\) | 2.84863e7 | + | 2.75766e7i | 1.29448 | + | 1.25314i | ||||
\(866\) | 5.42087e6 | − | 1.66837e7i | 0.245626 | − | 0.755958i | ||||
\(867\) | −2.54279e7 | − | 1.84745e7i | −1.14885 | − | 0.834689i | ||||
\(868\) | −1.25091e7 | −0.563543 | ||||||||
\(869\) | −1.84586e7 | − | 1.34110e7i | −0.829183 | − | 0.602437i | ||||
\(870\) | −1.04610e7 | + | 5.54572e6i | −0.468568 | + | 0.248405i | ||||
\(871\) | 1.68862e7 | − | 1.22685e7i | 0.754199 | − | 0.547958i | ||||
\(872\) | 8.33461e6 | − | 6.05545e6i | 0.371188 | − | 0.269684i | ||||
\(873\) | 1.46923e6 | + | 4.52184e6i | 0.0652463 | + | 0.200807i | ||||
\(874\) | 4.95974e6 | 0.219624 | ||||||||
\(875\) | 1.72764e6 | − | 1.58748e7i | 0.0762840 | − | 0.700951i | ||||
\(876\) | −4.70100e6 | −0.206981 | ||||||||
\(877\) | 2.79180e6 | + | 8.59228e6i | 0.122570 | + | 0.377233i | 0.993451 | − | 0.114262i | \(-0.0364505\pi\) |
−0.870880 | + | 0.491495i | \(0.836450\pi\) | |||||||
\(878\) | −2.11390e7 | + | 1.53584e7i | −0.925440 | + | 0.672372i | ||||
\(879\) | 1.64704e7 | − | 1.19665e7i | 0.719007 | − | 0.522389i | ||||
\(880\) | −7.11186e6 | + | 3.77025e6i | −0.309583 | + | 0.164121i | ||||
\(881\) | −2.01438e7 | − | 1.46353e7i | −0.874384 | − | 0.635277i | 0.0573760 | − | 0.998353i | \(-0.481727\pi\) |
−0.931760 | + | 0.363076i | \(0.881727\pi\) | |||||||
\(882\) | 2.73825e6 | 0.118523 | ||||||||
\(883\) | −1.64454e7 | − | 1.19483e7i | −0.709813 | − | 0.515709i | 0.173301 | − | 0.984869i | \(-0.444557\pi\) |
−0.883113 | + | 0.469160i | \(0.844557\pi\) | |||||||
\(884\) | −7.79558e6 | + | 2.39923e7i | −0.335520 | + | 1.03262i | ||||
\(885\) | −7.87168e6 | − | 7.62029e6i | −0.337839 | − | 0.327050i | ||||
\(886\) | −4.61685e6 | − | 1.42092e7i | −0.197588 | − | 0.608115i | ||||
\(887\) | −1.34232e7 | + | 4.13124e7i | −0.572859 | + | 1.76308i | 0.0704966 | + | 0.997512i | \(0.477542\pi\) |
−0.643356 | + | 0.765567i | \(0.722458\pi\) | |||||||
\(888\) | −1.17502e6 | + | 3.61633e6i | −0.0500048 | + | 0.153899i | ||||
\(889\) | 8.48597e6 | + | 2.61171e7i | 0.360120 | + | 1.10834i | ||||
\(890\) | −9.56662e6 | + | 1.95535e7i | −0.404840 | + | 0.827465i | ||||
\(891\) | 1.14039e6 | − | 3.50975e6i | 0.0481236 | − | 0.148109i | ||||
\(892\) | 1.32122e7 | + | 9.59924e6i | 0.555986 | + | 0.403947i | ||||
\(893\) | 6.71388e6 | 0.281738 | ||||||||
\(894\) | −1.27344e7 | − | 9.25209e6i | −0.532887 | − | 0.387165i | ||||
\(895\) | −2.07149e6 | + | 4.23398e6i | −0.0864420 | + | 0.176681i | ||||
\(896\) | −1.21162e6 | + | 880295.i | −0.0504193 | + | 0.0366318i | ||||
\(897\) | 9.22858e6 | − | 6.70495e6i | 0.382960 | − | 0.278237i | ||||
\(898\) | −8.13128e6 | − | 2.50255e7i | −0.336487 | − | 1.03560i | ||||
\(899\) | −5.03203e7 | −2.07656 | ||||||||
\(900\) | 3.89036e6 | + | 1.12589e6i | 0.160097 | + | 0.0463328i | ||||
\(901\) | 1.86424e7 | 0.765049 | ||||||||
\(902\) | −2.41714e6 | − | 7.43919e6i | −0.0989203 | − | 0.304446i | ||||
\(903\) | −1.65368e6 | + | 1.20147e6i | −0.0674888 | + | 0.0490335i | ||||
\(904\) | 790403. | − | 574262.i | 0.0321683 | − | 0.0233716i | ||||
\(905\) | 2.07511e7 | + | 2.94236e6i | 0.842209 | + | 0.119419i | ||||
\(906\) | 1.17590e7 | + | 8.54338e6i | 0.475936 | + | 0.345788i | ||||
\(907\) | 1.61338e6 | 0.0651204 | 0.0325602 | − | 0.999470i | \(-0.489634\pi\) | ||||
0.0325602 | + | 0.999470i | \(0.489634\pi\) | |||||||
\(908\) | −6.96033e6 | − | 5.05698e6i | −0.280166 | − | 0.203553i | ||||
\(909\) | 4.22342e6 | − | 1.29983e7i | 0.169533 | − | 0.521769i | ||||
\(910\) | 1.28470e7 | − | 6.81067e6i | 0.514280 | − | 0.272638i | ||||
\(911\) | −8.02186e6 | − | 2.46888e7i | −0.320243 | − | 0.985606i | −0.973542 | − | 0.228506i | \(-0.926616\pi\) |
0.653300 | − | 0.757099i | \(-0.273384\pi\) | |||||||
\(912\) | −495495. | + | 1.52498e6i | −0.0197266 | + | 0.0607122i | ||||
\(913\) | −1.50866e7 | + | 4.64316e7i | −0.598981 | + | 1.84347i | ||||
\(914\) | 2.20463e6 | + | 6.78516e6i | 0.0872912 | + | 0.268655i | ||||
\(915\) | 1.99694e7 | + | 2.83153e6i | 0.788521 | + | 0.111807i | ||||
\(916\) | 7.20877e6 | − | 2.21863e7i | 0.283872 | − | 0.873668i | ||||
\(917\) | −1.89468e7 | − | 1.37656e7i | −0.744067 | − | 0.540596i | ||||
\(918\) | −6.46284e6 | −0.253114 | ||||||||
\(919\) | 9.95182e6 | + | 7.23042e6i | 0.388699 | + | 0.282407i | 0.764922 | − | 0.644123i | \(-0.222777\pi\) |
−0.376223 | + | 0.926529i | \(0.622777\pi\) | |||||||
\(920\) | −1.09917e6 | − | 6.27877e6i | −0.0428149 | − | 0.244571i | ||||
\(921\) | −1.16697e6 | + | 847854.i | −0.0453326 | + | 0.0329361i | ||||
\(922\) | −1.14304e7 | + | 8.30469e6i | −0.442828 | + | 0.321733i | ||||
\(923\) | 1.54780e7 | + | 4.76362e7i | 0.598011 | + | 1.84049i | ||||
\(924\) | −7.40376e6 | −0.285281 | ||||||||
\(925\) | −1.26608e7 | − | 1.62874e7i | −0.486528 | − | 0.625890i | ||||
\(926\) | 1.61182e7 | 0.617717 | ||||||||
\(927\) | 1.49326e6 | + | 4.59578e6i | 0.0570737 | + | 0.175655i | ||||
\(928\) | −4.87397e6 | + | 3.54115e6i | −0.185786 | + | 0.134982i | ||||
\(929\) | 1.07298e7 | − | 7.79566e6i | 0.407899 | − | 0.296356i | −0.364852 | − | 0.931066i | \(-0.618880\pi\) |
0.772751 | + | 0.634710i | \(0.218880\pi\) | |||||||
\(930\) | 1.23670e7 | + | 1.19720e7i | 0.468874 | + | 0.453900i | ||||
\(931\) | −4.75838e6 | − | 3.45717e6i | −0.179922 | − | 0.130721i | ||||
\(932\) | −1.20110e7 | −0.452938 | ||||||||
\(933\) | −1.23796e7 | − | 8.99433e6i | −0.465590 | − | 0.338271i | ||||
\(934\) | 1.41446e6 | − | 4.35325e6i | 0.0530545 | − | 0.163285i | ||||
\(935\) | 1.20170e7 | + | 6.86446e7i | 0.449539 | + | 2.56790i | ||||
\(936\) | 1.13961e6 | + | 3.50737e6i | 0.0425175 | + | 0.130856i | ||||
\(937\) | 1.50739e7 | − | 4.63927e7i | 0.560889 | − | 1.72624i | −0.118973 | − | 0.992897i | \(-0.537960\pi\) |
0.679862 | − | 0.733340i | \(-0.262040\pi\) | |||||||
\(938\) | 3.31509e6 | − | 1.02028e7i | 0.123023 | − | 0.378627i | ||||
\(939\) | −2.08533e6 | − | 6.41797e6i | −0.0771809 | − | 0.237538i | ||||
\(940\) | −1.48792e6 | − | 8.49942e6i | −0.0549237 | − | 0.313740i | ||||
\(941\) | 8.86206e6 | − | 2.72746e7i | 0.326257 | − | 1.00412i | −0.644612 | − | 0.764510i | \(-0.722981\pi\) |
0.970870 | − | 0.239608i | \(-0.0770188\pi\) | |||||||
\(942\) | −2.54611e6 | − | 1.84985e6i | −0.0934866 | − | 0.0679220i | ||||
\(943\) | 6.19418e6 | 0.226832 | ||||||||
\(944\) | −4.51003e6 | − | 3.27673e6i | −0.164721 | − | 0.119677i | ||||
\(945\) | 2.67646e6 | + | 2.59098e6i | 0.0974947 | + | 0.0943811i | ||||
\(946\) | −4.52251e6 | + | 3.28580e6i | −0.164305 | + | 0.119375i | ||||
\(947\) | 9.62296e6 | − | 6.99149e6i | 0.348685 | − | 0.253335i | −0.399632 | − | 0.916676i | \(-0.630862\pi\) |
0.748317 | + | 0.663341i | \(0.230862\pi\) | |||||||
\(948\) | 1.80504e6 | + | 5.55534e6i | 0.0652328 | + | 0.200766i | ||||
\(949\) | 2.32241e7 | 0.837092 | ||||||||
\(950\) | −5.33898e6 | − | 6.86827e6i | −0.191933 | − | 0.246910i | ||||
\(951\) | 5.78904e6 | 0.207566 | ||||||||
\(952\) | 4.00671e6 | + | 1.23314e7i | 0.143283 | + | 0.440980i | ||||
\(953\) | −4.02922e7 | + | 2.92740e7i | −1.43710 | + | 1.04412i | −0.448466 | + | 0.893800i | \(0.648030\pi\) |
−0.988638 | + | 0.150317i | \(0.951970\pi\) | |||||||
\(954\) | 2.20479e6 | − | 1.60188e6i | 0.0784326 | − | 0.0569846i | ||||
\(955\) | 5.54094e6 | + | 3.16514e7i | 0.196596 | + | 1.12301i | ||||
\(956\) | 1.00207e7 | + | 7.28047e6i | 0.354612 | + | 0.257641i | ||||
\(957\) | −2.97830e7 | −1.05121 | ||||||||
\(958\) | 690745. | + | 501856.i | 0.0243167 | + | 0.0176671i | ||||
\(959\) | −1.22607e6 | + | 3.77346e6i | −0.0430496 | + | 0.132493i | ||||
\(960\) | 2.04035e6 | + | 289307.i | 0.0714541 | + | 0.0101317i | ||||
\(961\) | 1.37587e7 | + | 4.23450e7i | 0.480585 | + | 1.47909i | ||||
\(962\) | 5.80486e6 | − | 1.78655e7i | 0.202234 | − | 0.622412i | ||||
\(963\) | 1.04838e6 | − | 3.22657e6i | 0.0364294 | − | 0.112118i | ||||
\(964\) | −5.39612e6 | − | 1.66075e7i | −0.187020 | − | 0.575590i | ||||
\(965\) | 3.56391e7 | − | 1.88936e7i | 1.23200 | − | 0.653125i | ||||
\(966\) | 1.81175e6 | − | 5.57600e6i | 0.0624677 | − | 0.192256i | ||||
\(967\) | 1.25547e7 | + | 9.12153e6i | 0.431758 | + | 0.313691i | 0.782352 | − | 0.622837i | \(-0.214020\pi\) |
−0.350593 | + | 0.936528i | \(0.614020\pi\) | |||||||
\(968\) | −9.94067e6 | −0.340979 | ||||||||
\(969\) | 1.12308e7 | + | 8.15965e6i | 0.384239 | + | 0.279166i | ||||
\(970\) | −1.29953e7 | − | 1.84264e6i | −0.443463 | − | 0.0628799i | ||||
\(971\) | 2.13835e7 | − | 1.55361e7i | 0.727833 | − | 0.528801i | −0.161044 | − | 0.986947i | \(-0.551486\pi\) |
0.888877 | + | 0.458146i | \(0.151486\pi\) | |||||||
\(972\) | −764346. | + | 555330.i | −0.0259492 | + | 0.0188532i | ||||
\(973\) | 498964. | + | 1.53565e6i | 0.0168961 | + | 0.0520009i | ||||
\(974\) | 9.66319e6 | 0.326380 | ||||||||
\(975\) | −1.92193e7 | − | 5.56215e6i | −0.647479 | − | 0.187383i | ||||
\(976\) | 1.02627e7 | 0.344855 | ||||||||
\(977\) | −6.64302e6 | − | 2.04451e7i | −0.222653 | − | 0.685256i | −0.998521 | − | 0.0543610i | \(-0.982688\pi\) |
0.775868 | − | 0.630895i | \(-0.217312\pi\) | |||||||
\(978\) | −5.04058e6 | + | 3.66219e6i | −0.168513 | + | 0.122432i | ||||
\(979\) | −4.42994e7 | + | 3.21854e7i | −1.47721 | + | 1.07325i | ||||
\(980\) | −3.32205e6 | + | 6.79004e6i | −0.110495 | + | 0.225843i | ||||
\(981\) | −1.05485e7 | − | 7.66393e6i | −0.349959 | − | 0.254260i | ||||
\(982\) | −3.47410e7 | −1.14964 | ||||||||
\(983\) | −1.12183e7 | − | 8.15055e6i | −0.370290 | − | 0.269032i | 0.387041 | − | 0.922062i | \(-0.373497\pi\) |
−0.757331 | + | 0.653031i | \(0.773497\pi\) | |||||||
\(984\) | −618820. | + | 1.90453e6i | −0.0203740 | + | 0.0627047i | ||||
\(985\) | 7.91988e6 | − | 1.61877e7i | 0.260093 | − | 0.531612i | ||||
\(986\) | 1.61177e7 | + | 4.96053e7i | 0.527973 | + | 1.62493i | ||||
\(987\) | 2.45252e6 | − | 7.54810e6i | 0.0801347 | − | 0.246629i | ||||
\(988\) | 2.44786e6 | − | 7.53374e6i | 0.0797801 | − | 0.245538i | ||||
\(989\) | −1.36794e6 | − | 4.21010e6i | −0.0444711 | − | 0.136868i | ||||
\(990\) | 7.31963e6 | + | 7.08587e6i | 0.237356 | + | 0.229776i | ||||
\(991\) | 1.14117e7 | − | 3.51214e7i | 0.369117 | − | 1.13603i | −0.578245 | − | 0.815863i | \(-0.696262\pi\) |
0.947362 | − | 0.320163i | \(-0.103738\pi\) | |||||||
\(992\) | 7.08557e6 | + | 5.14797e6i | 0.228610 | + | 0.166095i | ||||
\(993\) | −5.23709e6 | −0.168546 | ||||||||
\(994\) | 2.08271e7 | + | 1.51317e7i | 0.668593 | + | 0.485761i | ||||
\(995\) | −2.62734e7 | + | 1.39285e7i | −0.841315 | + | 0.446011i | ||||
\(996\) | 1.01118e7 | − | 7.34664e6i | 0.322983 | − | 0.234661i | ||||
\(997\) | 3.79259e7 | − | 2.75548e7i | 1.20837 | − | 0.877929i | 0.213285 | − | 0.976990i | \(-0.431584\pi\) |
0.995081 | + | 0.0990609i | \(0.0315839\pi\) | |||||||
\(998\) | −6.78438e6 | − | 2.08802e7i | −0.215617 | − | 0.663602i | ||||
\(999\) | 4.81245e6 | 0.152564 |
(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 | 150.6.g.c.31.1 | ✓ | 24 | |
25.21 | even | 5 | inner | 150.6.g.c.121.1 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.6.g.c.31.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
150.6.g.c.121.1 | yes | 24 | 25.21 | even | 5 | inner |