Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [13,7,Mod(2,13)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(13, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("13.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 13 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 13.f (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.99070308706\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Character | \(\chi\) | \(=\) | 13.7 |
Dual form | 13.7.f.a.2.2 |
$q$-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 \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −9.37184 | + | 2.51118i | −1.17148 | + | 0.313897i | −0.791542 | − | 0.611115i | \(-0.790721\pi\) |
−0.379938 | + | 0.925012i | \(0.624055\pi\) | |||||||
\(3\) | 10.4091 | − | 18.0291i | 0.385523 | − | 0.667745i | −0.606319 | − | 0.795222i | \(-0.707355\pi\) |
0.991842 | + | 0.127477i | \(0.0406879\pi\) | |||||||
\(4\) | 26.0998 | − | 15.0687i | 0.407809 | − | 0.235449i | ||||
\(5\) | 160.035 | + | 160.035i | 1.28028 | + | 1.28028i | 0.940506 | + | 0.339777i | \(0.110352\pi\) |
0.339777 | + | 0.940506i | \(0.389648\pi\) | |||||||
\(6\) | −52.2782 | + | 195.105i | −0.242029 | + | 0.903264i | ||||
\(7\) | 162.036 | + | 43.4174i | 0.472408 | + | 0.126581i | 0.487165 | − | 0.873310i | \(-0.338031\pi\) |
−0.0147576 | + | 0.999891i | \(0.504698\pi\) | |||||||
\(8\) | 232.320 | − | 232.320i | 0.453749 | − | 0.453749i | ||||
\(9\) | 147.801 | + | 255.999i | 0.202745 | + | 0.351164i | ||||
\(10\) | −1901.70 | − | 1097.95i | −1.90170 | − | 1.09795i | ||||
\(11\) | −264.307 | − | 986.407i | −0.198578 | − | 0.741102i | −0.991312 | − | 0.131534i | \(-0.958010\pi\) |
0.792734 | − | 0.609568i | \(-0.208657\pi\) | |||||||
\(12\) | − | 627.408i | − | 0.363083i | ||||||
\(13\) | 189.333 | + | 2188.83i | 0.0861780 | + | 0.996280i | ||||
\(14\) | −1627.60 | −0.593150 | ||||||||
\(15\) | 4551.12 | − | 1219.47i | 1.34848 | − | 0.361324i | ||||
\(16\) | −2558.27 | + | 4431.05i | −0.624577 | + | 1.08180i | ||||
\(17\) | 1836.32 | − | 1060.20i | 0.373768 | − | 0.215795i | −0.301335 | − | 0.953518i | \(-0.597432\pi\) |
0.675103 | + | 0.737723i | \(0.264099\pi\) | |||||||
\(18\) | −2028.03 | − | 2028.03i | −0.347741 | − | 0.347741i | ||||
\(19\) | 334.793 | − | 1249.46i | 0.0488108 | − | 0.182164i | −0.937217 | − | 0.348748i | \(-0.886607\pi\) |
0.986027 | + | 0.166584i | \(0.0532736\pi\) | |||||||
\(20\) | 6588.42 | + | 1765.36i | 0.823553 | + | 0.220670i | ||||
\(21\) | 2469.42 | − | 2469.42i | 0.266648 | − | 0.266648i | ||||
\(22\) | 4954.09 | + | 8580.73i | 0.465260 | + | 0.805854i | ||||
\(23\) | −11932.9 | − | 6889.45i | −0.980758 | − | 0.566241i | −0.0782591 | − | 0.996933i | \(-0.524936\pi\) |
−0.902499 | + | 0.430692i | \(0.858269\pi\) | |||||||
\(24\) | −1770.27 | − | 6606.75i | −0.128058 | − | 0.477919i | ||||
\(25\) | 35597.7i | 2.27825i | ||||||||
\(26\) | −7270.93 | − | 20037.9i | −0.413685 | − | 1.14007i | ||||
\(27\) | 21330.4 | 1.08370 | ||||||||
\(28\) | 4883.35 | − | 1308.49i | 0.222456 | − | 0.0596068i | ||||
\(29\) | 12087.9 | − | 20936.9i | 0.495630 | − | 0.858456i | −0.504357 | − | 0.863495i | \(-0.668271\pi\) |
0.999987 | + | 0.00503870i | \(0.00160387\pi\) | |||||||
\(30\) | −39590.1 | + | 22857.3i | −1.46630 | + | 0.846568i | ||||
\(31\) | −26370.1 | − | 26370.1i | −0.885171 | − | 0.885171i | 0.108883 | − | 0.994055i | \(-0.465273\pi\) |
−0.994055 | + | 0.108883i | \(0.965273\pi\) | |||||||
\(32\) | 7406.29 | − | 27640.6i | 0.226022 | − | 0.843525i | ||||
\(33\) | −20535.2 | − | 5502.40i | −0.571423 | − | 0.153112i | ||||
\(34\) | −14547.4 | + | 14547.4i | −0.370124 | + | 0.370124i | ||||
\(35\) | 18983.1 | + | 32879.8i | 0.442756 | + | 0.766875i | ||||
\(36\) | 7715.15 | + | 4454.34i | 0.165362 | + | 0.0954720i | ||||
\(37\) | −7417.14 | − | 27681.1i | −0.146430 | − | 0.546486i | −0.999688 | − | 0.0249953i | \(-0.992043\pi\) |
0.853257 | − | 0.521490i | \(-0.174624\pi\) | |||||||
\(38\) | 12550.5i | 0.228723i | ||||||||
\(39\) | 41433.4 | + | 19370.2i | 0.698484 | + | 0.326543i | ||||
\(40\) | 74358.7 | 1.16186 | ||||||||
\(41\) | 83471.8 | − | 22366.2i | 1.21112 | − | 0.324519i | 0.403920 | − | 0.914794i | \(-0.367647\pi\) |
0.807202 | + | 0.590275i | \(0.200981\pi\) | |||||||
\(42\) | −16941.9 | + | 29344.2i | −0.228673 | + | 0.396072i | ||||
\(43\) | −102720. | + | 59305.2i | −1.29196 | + | 0.745912i | −0.979001 | − | 0.203856i | \(-0.934653\pi\) |
−0.312956 | + | 0.949768i | \(0.601319\pi\) | |||||||
\(44\) | −21762.3 | − | 21762.3i | −0.255474 | − | 0.255474i | ||||
\(45\) | −17315.5 | + | 64622.2i | −0.190019 | + | 0.709160i | ||||
\(46\) | 129134. | + | 34601.3i | 1.32668 | + | 0.355483i | ||||
\(47\) | 2437.23 | − | 2437.23i | 0.0234748 | − | 0.0234748i | −0.695272 | − | 0.718747i | \(-0.744716\pi\) |
0.718747 | + | 0.695272i | \(0.244716\pi\) | |||||||
\(48\) | 53258.5 | + | 92246.5i | 0.481577 | + | 0.834115i | ||||
\(49\) | −77516.5 | − | 44754.2i | −0.658879 | − | 0.380404i | ||||
\(50\) | −89392.1 | − | 333616.i | −0.715137 | − | 2.66893i | ||||
\(51\) | − | 44143.0i | − | 0.332775i | ||||||
\(52\) | 37924.4 | + | 54274.9i | 0.269717 | + | 0.386002i | ||||
\(53\) | −262002. | −1.75986 | −0.879928 | − | 0.475108i | \(-0.842409\pi\) | ||||
−0.879928 | + | 0.475108i | \(0.842409\pi\) | |||||||
\(54\) | −199905. | + | 53564.4i | −1.26953 | + | 0.340169i | ||||
\(55\) | 115562. | − | 200159.i | 0.694585 | − | 1.20306i | ||||
\(56\) | 47730.8 | − | 27557.4i | 0.271791 | − | 0.156918i | ||||
\(57\) | −19041.8 | − | 19041.8i | −0.102822 | − | 0.102822i | ||||
\(58\) | −60709.8 | + | 226572.i | −0.311154 | + | 1.16124i | ||||
\(59\) | 148193. | + | 39708.1i | 0.721557 | + | 0.193341i | 0.600866 | − | 0.799350i | \(-0.294822\pi\) |
0.120691 | + | 0.992690i | \(0.461489\pi\) | |||||||
\(60\) | 100408. | − | 100408.i | 0.464850 | − | 0.464850i | ||||
\(61\) | 14741.0 | + | 25532.2i | 0.0649439 | + | 0.112486i | 0.896669 | − | 0.442701i | \(-0.145980\pi\) |
−0.831725 | + | 0.555188i | \(0.812646\pi\) | |||||||
\(62\) | 313357. | + | 180917.i | 1.31481 | + | 0.759108i | ||||
\(63\) | 12834.3 | + | 47898.1i | 0.0513274 | + | 0.191556i | ||||
\(64\) | − | 49815.7i | − | 0.190032i | ||||||
\(65\) | −319990. | + | 380590.i | −1.16519 | + | 1.38585i | ||||
\(66\) | 206271. | 0.717473 | ||||||||
\(67\) | 86045.8 | − | 23055.9i | 0.286092 | − | 0.0766580i | −0.112919 | − | 0.993604i | \(-0.536020\pi\) |
0.399011 | + | 0.916946i | \(0.369354\pi\) | |||||||
\(68\) | 31951.7 | − | 55342.1i | 0.101617 | − | 0.176006i | ||||
\(69\) | −248421. | + | 143426.i | −0.756209 | + | 0.436597i | ||||
\(70\) | −260474. | − | 260474.i | −0.759400 | − | 0.759400i | ||||
\(71\) | 172572. | − | 644048.i | 0.482165 | − | 1.79946i | −0.110337 | − | 0.993894i | \(-0.535193\pi\) |
0.592501 | − | 0.805569i | \(-0.298140\pi\) | |||||||
\(72\) | 93810.6 | + | 25136.5i | 0.251336 | + | 0.0673452i | ||||
\(73\) | 46511.6 | − | 46511.6i | 0.119562 | − | 0.119562i | −0.644794 | − | 0.764356i | \(-0.723057\pi\) |
0.764356 | + | 0.644794i | \(0.223057\pi\) | |||||||
\(74\) | 139025. | + | 240798.i | 0.343081 | + | 0.594233i | ||||
\(75\) | 641794. | + | 370540.i | 1.52129 | + | 0.878317i | ||||
\(76\) | −10089.8 | − | 37655.7i | −0.0229849 | − | 0.0857807i | ||||
\(77\) | − | 171309.i | − | 0.375239i | ||||||
\(78\) | −436949. | − | 77488.2i | −0.920761 | − | 0.163287i | ||||
\(79\) | 169972. | 0.344743 | 0.172371 | − | 0.985032i | \(-0.444857\pi\) | ||||
0.172371 | + | 0.985032i | \(0.444857\pi\) | |||||||
\(80\) | −1.11854e6 | + | 299711.i | −2.18464 | + | 0.585373i | ||||
\(81\) | 114283. | − | 197945.i | 0.215044 | − | 0.372468i | ||||
\(82\) | −726119. | + | 419225.i | −1.31694 | + | 0.760336i | ||||
\(83\) | 378696. | + | 378696.i | 0.662302 | + | 0.662302i | 0.955922 | − | 0.293620i | \(-0.0948601\pi\) |
−0.293620 | + | 0.955922i | \(0.594860\pi\) | |||||||
\(84\) | 27240.4 | − | 101663.i | 0.0459595 | − | 0.171523i | ||||
\(85\) | 463546. | + | 124207.i | 0.754807 | + | 0.202250i | ||||
\(86\) | 813746. | − | 813746.i | 1.27936 | − | 1.27936i | ||||
\(87\) | −251649. | − | 435869.i | −0.382153 | − | 0.661909i | ||||
\(88\) | −290565. | − | 167758.i | −0.426379 | − | 0.246170i | ||||
\(89\) | 37362.9 | + | 139440.i | 0.0529993 | + | 0.197796i | 0.987349 | − | 0.158561i | \(-0.0506854\pi\) |
−0.934350 | + | 0.356357i | \(0.884019\pi\) | |||||||
\(90\) | − | 649112.i | − | 0.890414i | ||||||
\(91\) | −64354.3 | + | 362889.i | −0.0853991 | + | 0.481559i | ||||
\(92\) | −415261. | −0.533283 | ||||||||
\(93\) | −749920. | + | 200940.i | −0.932322 | + | 0.249815i | ||||
\(94\) | −16721.0 | + | 28961.6i | −0.0201316 | + | 0.0348690i | ||||
\(95\) | 253537. | − | 146380.i | 0.295713 | − | 0.170730i | ||||
\(96\) | −421243. | − | 421243.i | −0.476123 | − | 0.476123i | ||||
\(97\) | −54694.5 | + | 204123.i | −0.0599278 | + | 0.223654i | −0.989395 | − | 0.145252i | \(-0.953601\pi\) |
0.929467 | + | 0.368905i | \(0.120267\pi\) | |||||||
\(98\) | 838858. | + | 224771.i | 0.891272 | + | 0.238816i | ||||
\(99\) | 213454. | − | 213454.i | 0.219988 | − | 0.219988i | ||||
\(100\) | 536412. | + | 929092.i | 0.536412 | + | 0.929092i | ||||
\(101\) | −523979. | − | 302519.i | −0.508569 | − | 0.293622i | 0.223677 | − | 0.974663i | \(-0.428194\pi\) |
−0.732245 | + | 0.681041i | \(0.761527\pi\) | |||||||
\(102\) | 110851. | + | 413701.i | 0.104457 | + | 0.389840i | ||||
\(103\) | 603662.i | 0.552436i | 0.961095 | + | 0.276218i | \(0.0890812\pi\) | ||||
−0.961095 | + | 0.276218i | \(0.910919\pi\) | |||||||
\(104\) | 552493. | + | 464521.i | 0.491164 | + | 0.412958i | ||||
\(105\) | 790391. | 0.682769 | ||||||||
\(106\) | 2.45544e6 | − | 657933.i | 2.06164 | − | 0.552414i | ||||
\(107\) | −548498. | + | 950027.i | −0.447738 | + | 0.775505i | −0.998238 | − | 0.0593298i | \(-0.981104\pi\) |
0.550500 | + | 0.834835i | \(0.314437\pi\) | |||||||
\(108\) | 556719. | − | 321422.i | 0.441941 | − | 0.255155i | ||||
\(109\) | −639560. | − | 639560.i | −0.493857 | − | 0.493857i | 0.415662 | − | 0.909519i | \(-0.363550\pi\) |
−0.909519 | + | 0.415662i | \(0.863550\pi\) | |||||||
\(110\) | −580391. | + | 2.16605e6i | −0.436057 | + | 1.62739i | ||||
\(111\) | −576272. | − | 154412.i | −0.421365 | − | 0.112904i | ||||
\(112\) | −606915. | + | 606915.i | −0.431990 | + | 0.431990i | ||||
\(113\) | −226130. | − | 391669.i | −0.156720 | − | 0.271447i | 0.776964 | − | 0.629545i | \(-0.216759\pi\) |
−0.933684 | + | 0.358098i | \(0.883425\pi\) | |||||||
\(114\) | 226274. | + | 130640.i | 0.152729 | + | 0.0881780i | ||||
\(115\) | −807127. | − | 3.01224e6i | −0.530699 | − | 1.98060i | ||||
\(116\) | − | 728598.i | − | 0.466782i | ||||||
\(117\) | −532353. | + | 371980.i | −0.332386 | + | 0.232253i | ||||
\(118\) | −1.48855e6 | −0.905979 | ||||||||
\(119\) | 343581. | − | 92062.2i | 0.203886 | − | 0.0546312i | ||||
\(120\) | 774008. | − | 1.34062e6i | 0.447921 | − | 0.775822i | ||||
\(121\) | 631076. | − | 364352.i | 0.356226 | − | 0.205667i | ||||
\(122\) | −202267. | − | 202267.i | −0.111390 | − | 0.111390i | ||||
\(123\) | 465624. | − | 1.73773e6i | 0.250219 | − | 0.933830i | ||||
\(124\) | −1.08562e6 | − | 290891.i | −0.569394 | − | 0.152569i | ||||
\(125\) | −3.19633e6 | + | 3.19633e6i | −1.63652 | + | 1.63652i | ||||
\(126\) | −240561. | − | 416664.i | −0.120258 | − | 0.208293i | ||||
\(127\) | −1.83707e6 | − | 1.06063e6i | −0.896840 | − | 0.517791i | −0.0206664 | − | 0.999786i | \(-0.506579\pi\) |
−0.876174 | + | 0.481996i | \(0.839912\pi\) | |||||||
\(128\) | 599099. | + | 2.23587e6i | 0.285672 | + | 1.06614i | ||||
\(129\) | 2.46926e6i | 1.15026i | ||||||||
\(130\) | 2.04317e6 | − | 4.37038e6i | 0.929980 | − | 1.98925i | ||||
\(131\) | 1.82952e6 | 0.813811 | 0.406906 | − | 0.913470i | \(-0.366608\pi\) | ||||
0.406906 | + | 0.913470i | \(0.366608\pi\) | |||||||
\(132\) | −618880. | + | 165828.i | −0.269082 | + | 0.0721003i | ||||
\(133\) | 108497. | − | 187922.i | 0.0461171 | − | 0.0798772i | ||||
\(134\) | −748510. | + | 432152.i | −0.311088 | + | 0.179607i | ||||
\(135\) | 3.41362e6 | + | 3.41362e6i | 1.38744 | + | 1.38744i | ||||
\(136\) | 180308. | − | 672919.i | 0.0716801 | − | 0.267514i | ||||
\(137\) | −1.12688e6 | − | 301946.i | −0.438244 | − | 0.117427i | 0.0329497 | − | 0.999457i | \(-0.489510\pi\) |
−0.471193 | + | 0.882030i | \(0.656177\pi\) | |||||||
\(138\) | 1.96800e6 | − | 1.96800e6i | 0.748837 | − | 0.748837i | ||||
\(139\) | 273227. | + | 473243.i | 0.101737 | + | 0.176214i | 0.912400 | − | 0.409299i | \(-0.134227\pi\) |
−0.810663 | + | 0.585513i | \(0.800893\pi\) | |||||||
\(140\) | 990913. | + | 572104.i | 0.361120 | + | 0.208493i | ||||
\(141\) | −18571.7 | − | 69310.4i | −0.00662511 | − | 0.0247253i | ||||
\(142\) | 6.46927e6i | 2.25939i | ||||||||
\(143\) | 2.10903e6 | − | 765282.i | 0.721232 | − | 0.261706i | ||||
\(144\) | −1.51246e6 | −0.506518 | ||||||||
\(145\) | 5.28514e6 | − | 1.41615e6i | 1.73361 | − | 0.464521i | ||||
\(146\) | −319100. | + | 552698.i | −0.102534 | + | 0.177594i | ||||
\(147\) | −1.61376e6 | + | 931702.i | −0.508026 | + | 0.293309i | ||||
\(148\) | −610705. | − | 610705.i | −0.188385 | − | 0.188385i | ||||
\(149\) | 668891. | − | 2.49633e6i | 0.202207 | − | 0.754647i | −0.788076 | − | 0.615578i | \(-0.788922\pi\) |
0.990283 | − | 0.139069i | \(-0.0444109\pi\) | |||||||
\(150\) | −6.94528e6 | − | 1.86098e6i | −2.05786 | − | 0.551403i | ||||
\(151\) | −3.30562e6 | + | 3.30562e6i | −0.960113 | + | 0.960113i | −0.999234 | − | 0.0391212i | \(-0.987544\pi\) |
0.0391212 | + | 0.999234i | \(0.487544\pi\) | |||||||
\(152\) | −212496. | − | 368054.i | −0.0605090 | − | 0.104805i | ||||
\(153\) | 542820. | + | 313397.i | 0.151559 | + | 0.0875026i | ||||
\(154\) | 430187. | + | 1.60548e6i | 0.117786 | + | 0.439585i | ||||
\(155\) | − | 8.44031e6i | − | 2.26654i | ||||||
\(156\) | 1.37329e6 | − | 118789.i | 0.361733 | − | 0.0312898i | ||||
\(157\) | 3.52959e6 | 0.912064 | 0.456032 | − | 0.889963i | \(-0.349270\pi\) | ||||
0.456032 | + | 0.889963i | \(0.349270\pi\) | |||||||
\(158\) | −1.59295e6 | + | 426829.i | −0.403859 | + | 0.108214i | ||||
\(159\) | −2.72721e6 | + | 4.72366e6i | −0.678464 | + | 1.17513i | ||||
\(160\) | 5.60875e6 | − | 3.23821e6i | 1.36932 | − | 0.790579i | ||||
\(161\) | −1.63443e6 | − | 1.63443e6i | −0.391642 | − | 0.391642i | ||||
\(162\) | −573972. | + | 2.14209e6i | −0.135004 | + | 0.503841i | ||||
\(163\) | 326202. | + | 87405.5i | 0.0753223 | + | 0.0201825i | 0.296283 | − | 0.955100i | \(-0.404253\pi\) |
−0.220961 | + | 0.975283i | \(0.570919\pi\) | |||||||
\(164\) | 1.84157e6 | − | 1.84157e6i | 0.417500 | − | 0.417500i | ||||
\(165\) | −2.40579e6 | − | 4.16694e6i | −0.535556 | − | 0.927611i | ||||
\(166\) | −4.50005e6 | − | 2.59810e6i | −0.983768 | − | 0.567979i | ||||
\(167\) | 1.80514e6 | + | 6.73689e6i | 0.387581 | + | 1.44647i | 0.834058 | + | 0.551677i | \(0.186012\pi\) |
−0.446477 | + | 0.894795i | \(0.647322\pi\) | |||||||
\(168\) | − | 1.14739e6i | − | 0.241982i | ||||||
\(169\) | −4.75511e6 | + | 828835.i | −0.985147 | + | 0.171715i | ||||
\(170\) | −4.65619e6 | −0.947728 | ||||||||
\(171\) | 369344. | − | 98965.4i | 0.0738657 | − | 0.0197922i | ||||
\(172\) | −1.78731e6 | + | 3.09571e6i | −0.351248 | + | 0.608380i | ||||
\(173\) | 5.61268e6 | − | 3.24048e6i | 1.08401 | − | 0.625851i | 0.152032 | − | 0.988376i | \(-0.451418\pi\) |
0.931974 | + | 0.362524i | \(0.118085\pi\) | |||||||
\(174\) | 3.45296e6 | + | 3.45296e6i | 0.655456 | + | 0.655456i | ||||
\(175\) | −1.54556e6 | + | 5.76810e6i | −0.288384 | + | 1.07626i | ||||
\(176\) | 5.04698e6 | + | 1.35234e6i | 0.925750 | + | 0.248054i | ||||
\(177\) | 2.25845e6 | − | 2.25845e6i | 0.407278 | − | 0.407278i | ||||
\(178\) | −700318. | − | 1.21299e6i | −0.124175 | − | 0.215078i | ||||
\(179\) | −4.32238e6 | − | 2.49553e6i | −0.753640 | − | 0.435114i | 0.0733676 | − | 0.997305i | \(-0.476625\pi\) |
−0.827008 | + | 0.562191i | \(0.809959\pi\) | |||||||
\(180\) | 521844. | + | 1.94755e6i | 0.0894795 | + | 0.333942i | ||||
\(181\) | 833309.i | 0.140530i | 0.997528 | + | 0.0702652i | \(0.0223846\pi\) | ||||
−0.997528 | + | 0.0702652i | \(0.977615\pi\) | |||||||
\(182\) | −308159. | − | 3.56254e6i | −0.0511165 | − | 0.590943i | ||||
\(183\) | 613764. | 0.100149 | ||||||||
\(184\) | −4.37280e6 | + | 1.17169e6i | −0.701950 | + | 0.188087i | ||||
\(185\) | 3.24296e6 | − | 5.61697e6i | 0.512184 | − | 0.887129i | ||||
\(186\) | 6.52353e6 | − | 3.76636e6i | 1.01378 | − | 0.585306i | ||||
\(187\) | −1.53114e6 | − | 1.53114e6i | −0.234148 | − | 0.234148i | ||||
\(188\) | 26885.2 | − | 100337.i | 0.00404613 | − | 0.0151004i | ||||
\(189\) | 3.45629e6 | + | 926109.i | 0.511946 | + | 0.137176i | ||||
\(190\) | −2.00853e6 | + | 2.00853e6i | −0.292831 | + | 0.292831i | ||||
\(191\) | −2.97799e6 | − | 5.15804e6i | −0.427389 | − | 0.740260i | 0.569251 | − | 0.822164i | \(-0.307233\pi\) |
−0.996640 | + | 0.0819036i | \(0.973900\pi\) | |||||||
\(192\) | −898133. | − | 518537.i | −0.126893 | − | 0.0732616i | ||||
\(193\) | 2.45986e6 | + | 9.18032e6i | 0.342167 | + | 1.27699i | 0.895887 | + | 0.444282i | \(0.146541\pi\) |
−0.553720 | + | 0.832703i | \(0.686792\pi\) | |||||||
\(194\) | − | 2.05035e6i | − | 0.280817i | ||||||
\(195\) | 3.53088e6 | + | 9.73073e6i | 0.476189 | + | 1.31233i | ||||
\(196\) | −2.69755e6 | −0.358263 | ||||||||
\(197\) | −1.92518e6 | + | 515850.i | −0.251810 | + | 0.0674722i | −0.382516 | − | 0.923949i | \(-0.624942\pi\) |
0.130706 | + | 0.991421i | \(0.458276\pi\) | |||||||
\(198\) | −1.46444e6 | + | 2.53648e6i | −0.188658 | + | 0.326765i | ||||
\(199\) | −2.21118e6 | + | 1.27662e6i | −0.280585 | + | 0.161996i | −0.633688 | − | 0.773589i | \(-0.718460\pi\) |
0.353103 | + | 0.935584i | \(0.385126\pi\) | |||||||
\(200\) | 8.27004e6 | + | 8.27004e6i | 1.03375 | + | 1.03375i | ||||
\(201\) | 479983. | − | 1.79132e6i | 0.0591068 | − | 0.220590i | ||||
\(202\) | 5.67033e6 | + | 1.51936e6i | 0.687945 | + | 0.184334i | ||||
\(203\) | 2.86770e6 | − | 2.86770e6i | 0.342804 | − | 0.342804i | ||||
\(204\) | −665178. | − | 1.15212e6i | −0.0783516 | − | 0.135709i | ||||
\(205\) | 1.69378e7 | + | 9.77906e6i | 1.96606 | + | 1.13510i | ||||
\(206\) | −1.51590e6 | − | 5.65742e6i | −0.173408 | − | 0.647168i | ||||
\(207\) | − | 4.07307e6i | − | 0.459209i | ||||||
\(208\) | −1.01832e7 | − | 4.76066e6i | −1.13160 | − | 0.529026i | ||||
\(209\) | −1.32097e6 | −0.144695 | ||||||||
\(210\) | −7.40742e6 | + | 1.98481e6i | −0.799851 | + | 0.214319i | ||||
\(211\) | −1.57657e6 | + | 2.73070e6i | −0.167829 | + | 0.290688i | −0.937656 | − | 0.347564i | \(-0.887009\pi\) |
0.769827 | + | 0.638252i | \(0.220342\pi\) | |||||||
\(212\) | −6.83820e6 | + | 3.94804e6i | −0.717685 | + | 0.414356i | ||||
\(213\) | −9.81528e6 | − | 9.81528e6i | −1.01570 | − | 1.01570i | ||||
\(214\) | 2.75475e6 | − | 1.02809e7i | 0.281087 | − | 1.04903i | ||||
\(215\) | −2.59297e7 | − | 6.94785e6i | −2.60905 | − | 0.699093i | ||||
\(216\) | 4.95547e6 | − | 4.95547e6i | 0.491726 | − | 0.491726i | ||||
\(217\) | −3.12798e6 | − | 5.41783e6i | −0.306116 | − | 0.530208i | ||||
\(218\) | 7.59990e6 | + | 4.38780e6i | 0.733565 | + | 0.423524i | ||||
\(219\) | −354418. | − | 1.32271e6i | −0.0337430 | − | 0.125930i | ||||
\(220\) | − | 6.96547e6i | − | 0.654157i | ||||||
\(221\) | 2.66827e6 | + | 3.81866e6i | 0.247203 | + | 0.353781i | ||||
\(222\) | 5.78849e6 | 0.529061 | ||||||||
\(223\) | −1.35490e6 | + | 363044.i | −0.122178 | + | 0.0327374i | −0.319390 | − | 0.947623i | \(-0.603478\pi\) |
0.197212 | + | 0.980361i | \(0.436811\pi\) | |||||||
\(224\) | 2.40017e6 | − | 4.15721e6i | 0.213549 | − | 0.369878i | ||||
\(225\) | −9.11296e6 | + | 5.26137e6i | −0.800040 | + | 0.461903i | ||||
\(226\) | 3.10281e6 | + | 3.10281e6i | 0.268800 | + | 0.268800i | ||||
\(227\) | 3.83117e6 | − | 1.42981e7i | 0.327532 | − | 1.22237i | −0.584210 | − | 0.811602i | \(-0.698596\pi\) |
0.911742 | − | 0.410763i | \(-0.134738\pi\) | |||||||
\(228\) | −783924. | − | 210052.i | −0.0661408 | − | 0.0177224i | ||||
\(229\) | −5.86941e6 | + | 5.86941e6i | −0.488752 | + | 0.488752i | −0.907912 | − | 0.419161i | \(-0.862324\pi\) |
0.419161 | + | 0.907912i | \(0.362324\pi\) | |||||||
\(230\) | 1.51285e7 | + | 2.62034e7i | 1.24341 | + | 2.15365i | ||||
\(231\) | −3.08854e6 | − | 1.78317e6i | −0.250564 | − | 0.144663i | ||||
\(232\) | −2.05579e6 | − | 7.67231e6i | −0.164632 | − | 0.614416i | ||||
\(233\) | 5.82716e6i | 0.460669i | 0.973112 | + | 0.230334i | \(0.0739820\pi\) | ||||
−0.973112 | + | 0.230334i | \(0.926018\pi\) | |||||||
\(234\) | 4.05502e6 | − | 4.82297e6i | 0.316480 | − | 0.376415i | ||||
\(235\) | 780085. | 0.0601088 | ||||||||
\(236\) | 4.46615e6 | − | 1.19670e6i | 0.339779 | − | 0.0910436i | ||||
\(237\) | 1.76925e6 | − | 3.06443e6i | 0.132906 | − | 0.230200i | ||||
\(238\) | −2.98880e6 | + | 1.72559e6i | −0.221700 | + | 0.127999i | ||||
\(239\) | 5.26700e6 | + | 5.26700e6i | 0.385806 | + | 0.385806i | 0.873189 | − | 0.487382i | \(-0.162048\pi\) |
−0.487382 | + | 0.873189i | \(0.662048\pi\) | |||||||
\(240\) | −6.23945e6 | + | 2.32860e7i | −0.451349 | + | 1.68446i | ||||
\(241\) | 2.42770e7 | + | 6.50501e6i | 1.73438 | + | 0.464726i | 0.981185 | − | 0.193071i | \(-0.0618449\pi\) |
0.753195 | + | 0.657797i | \(0.228512\pi\) | |||||||
\(242\) | −4.99939e6 | + | 4.99939e6i | −0.352753 | + | 0.352753i | ||||
\(243\) | 5.39575e6 | + | 9.34571e6i | 0.376039 | + | 0.651319i | ||||
\(244\) | 769476. | + | 444257.i | 0.0529695 | + | 0.0305819i | ||||
\(245\) | −5.24313e6 | − | 1.95676e7i | −0.356527 | − | 1.33058i | ||||
\(246\) | 1.74550e7i | 1.17251i | ||||||||
\(247\) | 2.79825e6 | + | 496239.i | 0.185693 | + | 0.0329306i | ||||
\(248\) | −1.22526e7 | −0.803291 | ||||||||
\(249\) | 1.07694e7 | − | 2.88566e6i | 0.697581 | − | 0.186916i | ||||
\(250\) | 2.19290e7 | − | 3.79821e7i | 1.40345 | − | 2.43085i | ||||
\(251\) | −1.43021e7 | + | 8.25732e6i | −0.904437 | + | 0.522177i | −0.878637 | − | 0.477490i | \(-0.841547\pi\) |
−0.0258001 | + | 0.999667i | \(0.508213\pi\) | |||||||
\(252\) | 1.05673e6 | + | 1.05673e6i | 0.0660335 | + | 0.0660335i | ||||
\(253\) | −3.64186e6 | + | 1.35916e7i | −0.224886 | + | 0.839285i | ||||
\(254\) | 1.98802e7 | + | 5.32688e6i | 1.21316 | + | 0.325066i | ||||
\(255\) | 7.06444e6 | − | 7.06444e6i | 0.426047 | − | 0.426047i | ||||
\(256\) | −9.63521e6 | − | 1.66887e7i | −0.574303 | − | 0.994723i | ||||
\(257\) | −136082. | − | 78566.9i | −0.00801680 | − | 0.00462850i | 0.495986 | − | 0.868330i | \(-0.334807\pi\) |
−0.504003 | + | 0.863702i | \(0.668140\pi\) | |||||||
\(258\) | −6.20075e6 | − | 2.31415e7i | −0.361064 | − | 1.34751i | ||||
\(259\) | − | 4.80737e6i | − | 0.276699i | ||||||
\(260\) | −2.61667e6 | + | 1.47552e7i | −0.148877 | + | 0.839506i | ||||
\(261\) | 7.14642e6 | 0.401946 | ||||||||
\(262\) | −1.71460e7 | + | 4.59426e6i | −0.953364 | + | 0.255453i | ||||
\(263\) | −1.65537e7 | + | 2.86719e7i | −0.909974 | + | 1.57612i | −0.0958757 | + | 0.995393i | \(0.530565\pi\) |
−0.814098 | + | 0.580727i | \(0.802768\pi\) | |||||||
\(264\) | −6.04905e6 | + | 3.49242e6i | −0.328758 | + | 0.189808i | ||||
\(265\) | −4.19296e7 | − | 4.19296e7i | −2.25311 | − | 2.25311i | ||||
\(266\) | −544910. | + | 2.03363e6i | −0.0289521 | + | 0.108051i | ||||
\(267\) | 2.90290e6 | + | 777829.i | 0.152510 | + | 0.0408649i | ||||
\(268\) | 1.89835e6 | − | 1.89835e6i | 0.0986218 | − | 0.0986218i | ||||
\(269\) | 9.93564e6 | + | 1.72090e7i | 0.510433 | + | 0.884096i | 0.999927 | + | 0.0120895i | \(0.00384830\pi\) |
−0.489494 | + | 0.872007i | \(0.662818\pi\) | |||||||
\(270\) | −4.05641e7 | − | 2.34197e7i | −2.06087 | − | 1.18984i | ||||
\(271\) | −192013. | − | 716602.i | −0.00964767 | − | 0.0360056i | 0.960934 | − | 0.276777i | \(-0.0892663\pi\) |
−0.970582 | + | 0.240771i | \(0.922600\pi\) | |||||||
\(272\) | 1.08491e7i | 0.539122i | ||||||||
\(273\) | 5.87269e6 | + | 4.93760e6i | 0.288635 | + | 0.242677i | ||||
\(274\) | 1.13192e7 | 0.550254 | ||||||||
\(275\) | 3.51138e7 | − | 9.40871e6i | 1.68842 | − | 0.452410i | ||||
\(276\) | −4.32250e6 | + | 7.48679e6i | −0.205593 | + | 0.356097i | ||||
\(277\) | 2.30529e7 | − | 1.33096e7i | 1.08464 | − | 0.626219i | 0.152498 | − | 0.988304i | \(-0.451268\pi\) |
0.932145 | + | 0.362085i | \(0.117935\pi\) | |||||||
\(278\) | −3.74904e6 | − | 3.74904e6i | −0.174496 | − | 0.174496i | ||||
\(279\) | 2.85319e6 | − | 1.06483e7i | 0.131377 | − | 0.490304i | ||||
\(280\) | 1.20488e7 | + | 3.22846e6i | 0.548869 | + | 0.147069i | ||||
\(281\) | −1.31657e7 | + | 1.31657e7i | −0.593371 | + | 0.593371i | −0.938540 | − | 0.345169i | \(-0.887821\pi\) |
0.345169 | + | 0.938540i | \(0.387821\pi\) | |||||||
\(282\) | 348101. | + | 602929.i | 0.0155224 | + | 0.0268856i | ||||
\(283\) | 1.85879e7 | + | 1.07318e7i | 0.820110 | + | 0.473491i | 0.850454 | − | 0.526049i | \(-0.176327\pi\) |
−0.0303444 | + | 0.999540i | \(0.509660\pi\) | |||||||
\(284\) | −5.20088e6 | − | 1.94100e7i | −0.227050 | − | 0.847363i | ||||
\(285\) | − | 6.09473e6i | − | 0.263281i | ||||||
\(286\) | −1.78438e7 | + | 1.24683e7i | −0.762761 | + | 0.532976i | ||||
\(287\) | 1.44965e7 | 0.613222 | ||||||||
\(288\) | 8.17062e6 | − | 2.18931e6i | 0.342041 | − | 0.0916495i | ||||
\(289\) | −9.82073e6 | + | 1.70100e7i | −0.406865 | + | 0.704711i | ||||
\(290\) | −4.59753e7 | + | 2.65438e7i | −1.88508 | + | 1.08835i | ||||
\(291\) | 3.11083e6 | + | 3.11083e6i | 0.126240 | + | 0.126240i | ||||
\(292\) | 513072. | − | 1.91481e6i | 0.0206077 | − | 0.0769091i | ||||
\(293\) | 2.02819e6 | + | 543451.i | 0.0806316 | + | 0.0216052i | 0.298909 | − | 0.954282i | \(-0.403377\pi\) |
−0.218278 | + | 0.975887i | \(0.570044\pi\) | |||||||
\(294\) | 1.27842e7 | − | 1.27842e7i | 0.503073 | − | 0.503073i | ||||
\(295\) | 1.73614e7 | + | 3.00708e7i | 0.676266 | + | 1.17133i | ||||
\(296\) | −8.15402e6 | − | 4.70772e6i | −0.314410 | − | 0.181525i | ||||
\(297\) | −5.63777e6 | − | 2.10404e7i | −0.215198 | − | 0.803129i | ||||
\(298\) | 2.50750e7i | 0.947527i | ||||||||
\(299\) | 1.28205e7 | − | 2.74234e7i | 0.479615 | − | 1.02591i | ||||
\(300\) | 2.23343e7 | 0.827195 | ||||||||
\(301\) | −1.92191e7 | + | 5.14975e6i | −0.704749 | + | 0.188837i | ||||
\(302\) | 2.26788e7 | − | 3.92808e7i | 0.823377 | − | 1.42613i | ||||
\(303\) | −1.09083e7 | + | 6.29791e6i | −0.392129 | + | 0.226396i | ||||
\(304\) | 4.67994e6 | + | 4.67994e6i | 0.166579 | + | 0.166579i | ||||
\(305\) | −1.72697e6 | + | 6.44515e6i | −0.0608675 | + | 0.227161i | ||||
\(306\) | −5.87422e6 | − | 1.57399e6i | −0.205015 | − | 0.0549336i | ||||
\(307\) | 2.33578e7 | − | 2.33578e7i | 0.807267 | − | 0.807267i | −0.176953 | − | 0.984219i | \(-0.556624\pi\) |
0.984219 | + | 0.176953i | \(0.0566240\pi\) | |||||||
\(308\) | −2.58141e6 | − | 4.47113e6i | −0.0883495 | − | 0.153026i | ||||
\(309\) | 1.08835e7 | + | 6.28358e6i | 0.368886 | + | 0.212977i | ||||
\(310\) | 2.11951e7 | + | 7.91013e7i | 0.711461 | + | 2.65521i | ||||
\(311\) | − | 1.99611e7i | − | 0.663596i | −0.943350 | − | 0.331798i | \(-0.892345\pi\) | ||
0.943350 | − | 0.331798i | \(-0.107655\pi\) | |||||||
\(312\) | 1.41259e7 | − | 5.12570e6i | 0.465105 | − | 0.168768i | ||||
\(313\) | −3.23854e7 | −1.05613 | −0.528063 | − | 0.849205i | \(-0.677081\pi\) | ||||
−0.528063 | + | 0.849205i | \(0.677081\pi\) | |||||||
\(314\) | −3.30788e7 | + | 8.86343e6i | −1.06847 | + | 0.286294i | ||||
\(315\) | −5.61145e6 | + | 9.71932e6i | −0.179533 | + | 0.310960i | ||||
\(316\) | 4.43622e6 | − | 2.56125e6i | 0.140589 | − | 0.0811693i | ||||
\(317\) | 1.49729e7 | + | 1.49729e7i | 0.470031 | + | 0.470031i | 0.901925 | − | 0.431893i | \(-0.142154\pi\) |
−0.431893 | + | 0.901925i | \(0.642154\pi\) | |||||||
\(318\) | 1.36970e7 | − | 5.11179e7i | 0.425936 | − | 1.58961i | ||||
\(319\) | −2.38472e7 | − | 6.38984e6i | −0.734625 | − | 0.196842i | ||||
\(320\) | 7.97228e6 | − | 7.97228e6i | 0.243295 | − | 0.243295i | ||||
\(321\) | 1.14188e7 | + | 1.97779e7i | 0.345226 | + | 0.597949i | ||||
\(322\) | 1.94220e7 | + | 1.12133e7i | 0.581736 | + | 0.335866i | ||||
\(323\) | −709895. | − | 2.64937e6i | −0.0210662 | − | 0.0786202i | ||||
\(324\) | − | 6.88842e6i | − | 0.202528i | ||||||
\(325\) | −7.79171e7 | + | 6.73982e6i | −2.26978 | + | 0.196335i | ||||
\(326\) | −3.27660e6 | −0.0945738 | ||||||||
\(327\) | −1.81879e7 | + | 4.87344e6i | −0.520164 | + | 0.139377i | ||||
\(328\) | 1.41960e7 | − | 2.45882e7i | 0.402296 | − | 0.696796i | ||||
\(329\) | 500736. | − | 289100.i | 0.0140612 | − | 0.00811821i | ||||
\(330\) | 3.30106e7 | + | 3.30106e7i | 0.918568 | + | 0.918568i | ||||
\(331\) | 4.20969e6 | − | 1.57108e7i | 0.116082 | − | 0.433225i | −0.883283 | − | 0.468840i | \(-0.844672\pi\) |
0.999366 | + | 0.0356146i | \(0.0113389\pi\) | |||||||
\(332\) | 1.55903e7 | + | 4.17742e6i | 0.426031 | + | 0.114155i | ||||
\(333\) | 5.99008e6 | − | 5.99008e6i | 0.162218 | − | 0.162218i | ||||
\(334\) | −3.38351e7 | − | 5.86040e7i | −0.908087 | − | 1.57285i | ||||
\(335\) | 1.74601e7 | + | 1.00806e7i | 0.464422 | + | 0.268134i | ||||
\(336\) | 4.62469e6 | + | 1.72596e7i | 0.121917 | + | 0.455001i | ||||
\(337\) | 1.54316e7i | 0.403201i | 0.979468 | + | 0.201600i | \(0.0646142\pi\) | ||||
−0.979468 | + | 0.201600i | \(0.935386\pi\) | |||||||
\(338\) | 4.24828e7 | − | 1.97086e7i | 1.10018 | − | 0.510395i | ||||
\(339\) | −9.41527e6 | −0.241676 | ||||||||
\(340\) | 1.39701e7 | − | 3.74328e6i | 0.355437 | − | 0.0952391i | ||||
\(341\) | −1.90419e7 | + | 3.29815e7i | −0.480227 | + | 0.831778i | ||||
\(342\) | −3.21291e6 | + | 1.85498e6i | −0.0803195 | + | 0.0463725i | ||||
\(343\) | −2.45727e7 | − | 2.45727e7i | −0.608934 | − | 0.608934i | ||||
\(344\) | −1.00860e7 | + | 3.76416e7i | −0.247768 | + | 0.924682i | ||||
\(345\) | −6.27095e7 | − | 1.68030e7i | −1.52713 | − | 0.409193i | ||||
\(346\) | −4.44637e7 | + | 4.44637e7i | −1.07344 | + | 1.07344i | ||||
\(347\) | −3.75387e7 | − | 6.50189e7i | −0.898443 | − | 1.55615i | −0.829485 | − | 0.558530i | \(-0.811366\pi\) |
−0.0689584 | − | 0.997620i | \(-0.521968\pi\) | |||||||
\(348\) | −1.31360e7 | − | 7.58406e6i | −0.311691 | − | 0.179955i | ||||
\(349\) | −5.00643e6 | − | 1.86843e7i | −0.117775 | − | 0.439541i | 0.881705 | − | 0.471801i | \(-0.156396\pi\) |
−0.999479 | + | 0.0322604i | \(0.989729\pi\) | |||||||
\(350\) | − | 5.79389e7i | − | 1.35134i | ||||||
\(351\) | 4.03855e6 | + | 4.66885e7i | 0.0933908 | + | 1.07966i | ||||
\(352\) | −2.92225e7 | −0.670022 | ||||||||
\(353\) | 5.05743e6 | − | 1.35513e6i | 0.114976 | − | 0.0308076i | −0.200872 | − | 0.979617i | \(-0.564378\pi\) |
0.315848 | + | 0.948810i | \(0.397711\pi\) | |||||||
\(354\) | −1.54945e7 | + | 2.68373e7i | −0.349275 | + | 0.604962i | ||||
\(355\) | 1.30688e8 | − | 7.54528e7i | 2.92113 | − | 1.68652i | ||||
\(356\) | 3.07635e6 | + | 3.07635e6i | 0.0681845 | + | 0.0681845i | ||||
\(357\) | 1.91657e6 | − | 7.15274e6i | 0.0421231 | − | 0.157206i | ||||
\(358\) | 4.67754e7 | + | 1.25334e7i | 1.01946 | + | 0.273162i | ||||
\(359\) | −1.77805e7 | + | 1.77805e7i | −0.384292 | + | 0.384292i | −0.872646 | − | 0.488354i | \(-0.837597\pi\) |
0.488354 | + | 0.872646i | \(0.337597\pi\) | |||||||
\(360\) | 1.09903e7 | + | 1.90357e7i | 0.235560 | + | 0.408002i | ||||
\(361\) | 3.92939e7 | + | 2.26863e7i | 0.835224 | + | 0.482217i | ||||
\(362\) | −2.09259e6 | − | 7.80965e6i | −0.0441121 | − | 0.164629i | ||||
\(363\) | − | 1.51703e7i | − | 0.317157i | ||||||
\(364\) | 3.78863e6 | + | 1.04411e7i | 0.0785558 | + | 0.216491i | ||||
\(365\) | 1.48870e7 | 0.306146 | ||||||||
\(366\) | −5.75210e6 | + | 1.54127e6i | −0.117323 | + | 0.0314366i | ||||
\(367\) | −2.04112e6 | + | 3.53532e6i | −0.0412924 | + | 0.0715206i | −0.885933 | − | 0.463813i | \(-0.846481\pi\) |
0.844641 | + | 0.535334i | \(0.179814\pi\) | |||||||
\(368\) | 6.10550e7 | − | 3.52501e7i | 1.22512 | − | 0.707322i | ||||
\(369\) | 1.80629e7 | + | 1.80629e7i | 0.359508 | + | 0.359508i | ||||
\(370\) | −1.62873e7 | + | 6.07850e7i | −0.321546 | + | 1.20003i | ||||
\(371\) | −4.24537e7 | − | 1.13754e7i | −0.831369 | − | 0.222765i | ||||
\(372\) | −1.65448e7 | + | 1.65448e7i | −0.321391 | + | 0.321391i | ||||
\(373\) | 9.66679e6 | + | 1.67434e7i | 0.186275 | + | 0.322639i | 0.944006 | − | 0.329930i | \(-0.107025\pi\) |
−0.757730 | + | 0.652568i | \(0.773692\pi\) | |||||||
\(374\) | 1.81946e7 | + | 1.05047e7i | 0.347798 | + | 0.200802i | ||||
\(375\) | 2.43561e7 | + | 9.08980e7i | 0.461863 | + | 1.72370i | ||||
\(376\) | − | 1.13243e6i | − | 0.0213034i | ||||||
\(377\) | 4.81159e7 | + | 2.24943e7i | 0.897975 | + | 0.419806i | ||||
\(378\) | −3.47174e7 | −0.642794 | ||||||||
\(379\) | 8.33021e6 | − | 2.23207e6i | 0.153016 | − | 0.0410006i | −0.181498 | − | 0.983391i | \(-0.558094\pi\) |
0.334514 | + | 0.942391i | \(0.391428\pi\) | |||||||
\(380\) | 4.41151e6 | − | 7.64097e6i | 0.0803965 | − | 0.139251i | ||||
\(381\) | −3.82446e7 | + | 2.20805e7i | −0.691504 | + | 0.399240i | ||||
\(382\) | 4.08621e7 | + | 4.08621e7i | 0.733044 | + | 0.733044i | ||||
\(383\) | −1.77683e7 | + | 6.63122e7i | −0.316264 | + | 1.18031i | 0.606543 | + | 0.795051i | \(0.292556\pi\) |
−0.922807 | + | 0.385262i | \(0.874111\pi\) | |||||||
\(384\) | 4.65467e7 | + | 1.24722e7i | 0.822045 | + | 0.220266i | ||||
\(385\) | 2.74155e7 | − | 2.74155e7i | 0.480412 | − | 0.480412i | ||||
\(386\) | −4.61068e7 | − | 7.98594e7i | −0.801684 | − | 1.38856i | ||||
\(387\) | −3.03641e7 | − | 1.75307e7i | −0.523875 | − | 0.302459i | ||||
\(388\) | 1.64835e6 | + | 6.15173e6i | 0.0282199 | + | 0.105318i | ||||
\(389\) | − | 7.51491e7i | − | 1.27666i | −0.769763 | − | 0.638329i | \(-0.779626\pi\) | ||
0.769763 | − | 0.638329i | \(-0.220374\pi\) | |||||||
\(390\) | −5.75265e7 | − | 8.23282e7i | −0.969782 | − | 1.38789i | ||||
\(391\) | −2.92168e7 | −0.488768 | ||||||||
\(392\) | −2.84059e7 | + | 7.61133e6i | −0.471574 | + | 0.126358i | ||||
\(393\) | 1.90437e7 | − | 3.29846e7i | 0.313743 | − | 0.543418i | ||||
\(394\) | 1.67471e7 | − | 9.66893e6i | 0.273811 | − | 0.158085i | ||||
\(395\) | 2.72015e7 | + | 2.72015e7i | 0.441368 | + | 0.441368i | ||||
\(396\) | 2.35463e6 | − | 8.78759e6i | 0.0379173 | − | 0.141509i | ||||
\(397\) | −3.65718e6 | − | 979937.i | −0.0584486 | − | 0.0156613i | 0.229476 | − | 0.973314i | \(-0.426299\pi\) |
−0.287925 | + | 0.957653i | \(0.592965\pi\) | |||||||
\(398\) | 1.75170e7 | − | 1.75170e7i | 0.277850 | − | 0.277850i | ||||
\(399\) | −2.25871e6 | − | 3.91220e6i | −0.0355584 | − | 0.0615889i | ||||
\(400\) | −1.57735e8 | − | 9.10683e7i | −2.46461 | − | 1.42294i | ||||
\(401\) | 3.98812e6 | + | 1.48839e7i | 0.0618494 | + | 0.230825i | 0.989931 | − | 0.141552i | \(-0.0452094\pi\) |
−0.928081 | + | 0.372377i | \(0.878543\pi\) | |||||||
\(402\) | 1.79933e7i | 0.276970i | ||||||||
\(403\) | 5.27269e7 | − | 6.27124e7i | 0.805596 | − | 0.958160i | ||||
\(404\) | −1.82343e7 | −0.276532 | ||||||||
\(405\) | 4.99675e7 | − | 1.33888e7i | 0.752182 | − | 0.201547i | ||||
\(406\) | −1.96743e7 | + | 3.40769e7i | −0.293983 | + | 0.509193i | ||||
\(407\) | −2.53445e7 | + | 1.46326e7i | −0.375924 | + | 0.217040i | ||||
\(408\) | −1.02553e7 | − | 1.02553e7i | −0.150997 | − | 0.150997i | ||||
\(409\) | 1.57037e7 | − | 5.86069e7i | 0.229526 | − | 0.856601i | −0.751015 | − | 0.660285i | \(-0.770435\pi\) |
0.980541 | − | 0.196316i | \(-0.0628979\pi\) | |||||||
\(410\) | −1.83296e8 | − | 4.91139e7i | −2.65950 | − | 0.712612i | ||||
\(411\) | −1.71736e7 | + | 1.71736e7i | −0.247364 | + | 0.247364i | ||||
\(412\) | 9.09641e6 | + | 1.57555e7i | 0.130070 | + | 0.225289i | ||||
\(413\) | 2.22885e7 | + | 1.28683e7i | 0.316396 | + | 0.182671i | ||||
\(414\) | 1.02282e7 | + | 3.81722e7i | 0.144145 | + | 0.537955i | ||||
\(415\) | 1.21209e8i | 1.69587i | ||||||||
\(416\) | 6.19028e7 | + | 1.09778e7i | 0.859865 | + | 0.152488i | ||||
\(417\) | 1.13762e7 | 0.156888 | ||||||||
\(418\) | 1.23799e7 | − | 3.31719e6i | 0.169507 | − | 0.0454194i | ||||
\(419\) | −5.54749e6 | + | 9.60854e6i | −0.0754144 | + | 0.130622i | −0.901266 | − | 0.433265i | \(-0.857361\pi\) |
0.825852 | + | 0.563887i | \(0.190695\pi\) | |||||||
\(420\) | 2.06290e7 | − | 1.19102e7i | 0.278440 | − | 0.160757i | ||||
\(421\) | −5.69651e7 | − | 5.69651e7i | −0.763419 | − | 0.763419i | 0.213520 | − | 0.976939i | \(-0.431507\pi\) |
−0.976939 | + | 0.213520i | \(0.931507\pi\) | |||||||
\(422\) | 7.91810e6 | − | 2.95508e7i | 0.105362 | − | 0.393216i | ||||
\(423\) | 984151. | + | 263703.i | 0.0130029 | + | 0.00348412i | ||||
\(424\) | −6.08682e7 | + | 6.08682e7i | −0.798533 | + | 0.798533i | ||||
\(425\) | 3.77407e7 | + | 6.53688e7i | 0.491635 | + | 0.851537i | ||||
\(426\) | 1.16635e8 | + | 6.73394e7i | 1.50869 | + | 0.871044i | ||||
\(427\) | 1.28003e6 | + | 4.77715e6i | 0.0164414 | + | 0.0613600i | ||||
\(428\) | 3.30607e7i | 0.421678i | ||||||||
\(429\) | 8.15580e6 | − | 4.59899e7i | 0.103299 | − | 0.582492i | ||||
\(430\) | 2.60457e8 | 3.27589 | ||||||||
\(431\) | 9.39536e7 | − | 2.51748e7i | 1.17350 | − | 0.314437i | 0.381152 | − | 0.924512i | \(-0.375527\pi\) |
0.792344 | + | 0.610075i | \(0.208861\pi\) | |||||||
\(432\) | −5.45688e7 | + | 9.45159e7i | −0.676851 | + | 1.17234i | ||||
\(433\) | −1.06785e8 | + | 6.16526e7i | −1.31537 | + | 0.759430i | −0.982980 | − | 0.183712i | \(-0.941189\pi\) |
−0.332391 | + | 0.943142i | \(0.607855\pi\) | |||||||
\(434\) | 4.29201e7 | + | 4.29201e7i | 0.525039 | + | 0.525039i | ||||
\(435\) | 2.94817e7 | − | 1.10027e8i | 0.358166 | − | 1.33669i | ||||
\(436\) | −2.63297e7 | − | 7.05503e6i | −0.317678 | − | 0.0851215i | ||||
\(437\) | −1.26032e7 | + | 1.26032e7i | −0.151020 | + | 0.151020i | ||||
\(438\) | 6.64310e6 | + | 1.15062e7i | 0.0790585 | + | 0.136933i | ||||
\(439\) | −4.36371e7 | − | 2.51939e7i | −0.515777 | − | 0.297784i | 0.219428 | − | 0.975629i | \(-0.429581\pi\) |
−0.735205 | + | 0.677845i | \(0.762914\pi\) | |||||||
\(440\) | −1.96535e7 | − | 7.33480e7i | −0.230719 | − | 0.861054i | ||||
\(441\) | − | 2.64588e7i | − | 0.308500i | ||||||
\(442\) | −3.45960e7 | − | 2.90874e7i | −0.400644 | − | 0.336851i | ||||
\(443\) | −6.24926e7 | −0.718815 | −0.359408 | − | 0.933181i | \(-0.617021\pi\) | ||||
−0.359408 | + | 0.933181i | \(0.617021\pi\) | |||||||
\(444\) | −1.73674e7 | + | 4.65357e6i | −0.198420 | + | 0.0531664i | ||||
\(445\) | −1.63360e7 | + | 2.82947e7i | −0.185381 | + | 0.321089i | ||||
\(446\) | 1.17862e7 | − | 6.80478e6i | 0.132853 | − | 0.0767025i | ||||
\(447\) | −3.80441e7 | − | 3.80441e7i | −0.425956 | − | 0.425956i | ||||
\(448\) | 2.16287e6 | − | 8.07193e6i | 0.0240545 | − | 0.0897725i | ||||
\(449\) | 9.55183e7 | + | 2.55940e7i | 1.05523 | + | 0.282748i | 0.744412 | − | 0.667721i | \(-0.232730\pi\) |
0.310819 | + | 0.950469i | \(0.399397\pi\) | |||||||
\(450\) | 7.21930e7 | − | 7.21930e7i | 0.792241 | − | 0.792241i | ||||
\(451\) | −4.41244e7 | − | 7.64256e7i | −0.481004 | − | 0.833124i | ||||
\(452\) | −1.18039e7 | − | 6.81500e6i | −0.127824 | − | 0.0737990i | ||||
\(453\) | 2.51888e7 | + | 9.40060e7i | 0.270965 | + | 1.01126i | ||||
\(454\) | 1.43620e8i | 1.53479i | ||||||||
\(455\) | −6.83740e7 | + | 4.77761e7i | −0.725867 | + | 0.507196i | ||||
\(456\) | −8.84758e6 | −0.0933104 | ||||||||
\(457\) | 5.43112e7 | − | 1.45526e7i | 0.569037 | − | 0.152473i | 0.0371820 | − | 0.999309i | \(-0.488162\pi\) |
0.531855 | + | 0.846836i | \(0.321495\pi\) | |||||||
\(458\) | 4.02681e7 | − | 6.97463e7i | 0.419145 | − | 0.725981i | ||||
\(459\) | 3.91694e7 | − | 2.26145e7i | 0.405051 | − | 0.233856i | ||||
\(460\) | −6.64565e7 | − | 6.64565e7i | −0.682753 | − | 0.682753i | ||||
\(461\) | 8.73835e6 | − | 3.26120e7i | 0.0891921 | − | 0.332870i | −0.906883 | − | 0.421383i | \(-0.861545\pi\) |
0.996075 | + | 0.0885132i | \(0.0282116\pi\) | |||||||
\(462\) | 3.34232e7 | + | 8.95572e6i | 0.338940 | + | 0.0908186i | ||||
\(463\) | −6.00127e7 | + | 6.00127e7i | −0.604645 | + | 0.604645i | −0.941542 | − | 0.336897i | \(-0.890623\pi\) |
0.336897 | + | 0.941542i | \(0.390623\pi\) | |||||||
\(464\) | 6.18482e7 | + | 1.07124e8i | 0.619118 | + | 1.07234i | ||||
\(465\) | −1.52171e8 | − | 8.78561e7i | −1.51347 | − | 0.873802i | ||||
\(466\) | −1.46330e7 | − | 5.46112e7i | −0.144603 | − | 0.539665i | ||||
\(467\) | 1.59772e8i | 1.56873i | 0.620298 | + | 0.784367i | \(0.287012\pi\) | ||||
−0.620298 | + | 0.784367i | \(0.712988\pi\) | |||||||
\(468\) | −8.28905e6 | + | 1.77305e7i | −0.0808663 | + | 0.172975i | ||||
\(469\) | 1.49435e7 | 0.144855 | ||||||||
\(470\) | −7.31084e6 | + | 1.95893e6i | −0.0704163 | + | 0.0188680i | ||||
\(471\) | 3.67399e7 | − | 6.36354e7i | 0.351621 | − | 0.609026i | ||||
\(472\) | 4.36530e7 | − | 2.52031e7i | 0.415134 | − | 0.239678i | ||||
\(473\) | 8.56486e7 | + | 8.56486e7i | 0.809351 | + | 0.809351i | ||||
\(474\) | −8.88581e6 | + | 3.31623e7i | −0.0834377 | + | 0.311394i | ||||
\(475\) | 4.44780e7 | + | 1.19178e7i | 0.415016 | + | 0.111203i | ||||
\(476\) | 7.58013e6 | − | 7.58013e6i | 0.0702839 | − | 0.0702839i | ||||
\(477\) | −3.87241e7 | − | 6.70722e7i | −0.356801 | − | 0.617998i | ||||
\(478\) | −6.25878e7 | − | 3.61351e7i | −0.573068 | − | 0.330861i | ||||
\(479\) | −3.96180e7 | − | 1.47856e8i | −0.360484 | − | 1.34534i | −0.873441 | − | 0.486929i | \(-0.838117\pi\) |
0.512958 | − | 0.858414i | \(-0.328550\pi\) | |||||||
\(480\) | − | 1.34828e8i | − | 1.21914i | ||||||
\(481\) | 5.91849e7 | − | 2.14758e7i | 0.531834 | − | 0.192981i | ||||
\(482\) | −2.43856e8 | −2.17767 | ||||||||
\(483\) | −4.64803e7 | + | 1.24544e7i | −0.412504 | + | 0.110530i | ||||
\(484\) | 1.09806e7 | − | 1.90190e7i | 0.0968482 | − | 0.167746i | ||||
\(485\) | −4.14199e7 | + | 2.39138e7i | −0.363064 | + | 0.209615i | ||||
\(486\) | −7.40368e7 | − | 7.40368e7i | −0.644969 | − | 0.644969i | ||||
\(487\) | −5.82216e7 | + | 2.17286e8i | −0.504077 | + | 1.88124i | −0.0323927 | + | 0.999475i | \(0.510313\pi\) |
−0.471685 | + | 0.881767i | \(0.656354\pi\) | |||||||
\(488\) | 9.35626e6 | + | 2.50700e6i | 0.0805087 | + | 0.0215723i | ||||
\(489\) | 4.97131e6 | − | 4.97131e6i | 0.0425152 | − | 0.0425152i | ||||
\(490\) | 9.82756e7 | + | 1.70218e8i | 0.835329 | + | 1.44683i | ||||
\(491\) | 6.73158e7 | + | 3.88648e7i | 0.568686 | + | 0.328331i | 0.756624 | − | 0.653850i | \(-0.226847\pi\) |
−0.187939 | + | 0.982181i | \(0.560181\pi\) | |||||||
\(492\) | −1.40327e7 | − | 5.23709e7i | −0.117828 | − | 0.439739i | ||||
\(493\) | − | 5.12625e7i | − | 0.427818i | ||||||
\(494\) | −2.74709e7 | + | 2.37623e6i | −0.227872 | + | 0.0197109i | ||||
\(495\) | 6.83204e7 | 0.563294 | ||||||||
\(496\) | 1.84309e8 | − | 4.93855e7i | 1.51043 | − | 0.404720i | ||||
\(497\) | 5.59257e7 | − | 9.68662e7i | 0.455557 | − | 0.789047i | ||||
\(498\) | −9.36830e7 | + | 5.40879e7i | −0.758530 | + | 0.437937i | ||||
\(499\) | −4.04648e7 | − | 4.04648e7i | −0.325668 | − | 0.325668i | 0.525268 | − | 0.850937i | \(-0.323965\pi\) |
−0.850937 | + | 0.525268i | \(0.823965\pi\) | |||||||
\(500\) | −3.52590e7 | + | 1.31588e8i | −0.282072 | + | 1.05271i | ||||
\(501\) | 1.40250e8 | + | 3.75799e7i | 1.11530 | + | 0.298842i | ||||
\(502\) | 1.13301e8 | − | 1.13301e8i | 0.895621 | − | 0.895621i | ||||
\(503\) | −3.93752e7 | − | 6.81999e7i | −0.309399 | − | 0.535895i | 0.668832 | − | 0.743414i | \(-0.266795\pi\) |
−0.978231 | + | 0.207518i | \(0.933461\pi\) | |||||||
\(504\) | 1.41093e7 | + | 8.14601e6i | 0.110208 | + | 0.0636288i | ||||
\(505\) | −3.54414e7 | − | 1.32269e8i | −0.275192 | − | 1.02703i | ||||
\(506\) | − | 1.36524e8i | − | 1.05380i | ||||||
\(507\) | −3.45534e7 | + | 9.43579e7i | −0.265135 | + | 0.724026i | ||||
\(508\) | −6.39296e7 | −0.487653 | ||||||||
\(509\) | −1.98778e8 | + | 5.32625e7i | −1.50736 | + | 0.403895i | −0.915556 | − | 0.402190i | \(-0.868249\pi\) |
−0.591800 | + | 0.806085i | \(0.701583\pi\) | |||||||
\(510\) | −4.84668e7 | + | 8.39469e7i | −0.365370 | + | 0.632840i | ||||
\(511\) | 9.55595e6 | − | 5.51713e6i | 0.0716162 | − | 0.0413476i | ||||
\(512\) | 2.74548e7 | + | 2.74548e7i | 0.204554 | + | 0.204554i | ||||
\(513\) | 7.14126e6 | − | 2.66516e7i | 0.0528960 | − | 0.197411i | ||||
\(514\) | 1.47263e6 | + | 394591.i | 0.0108444 | + | 0.00290575i | ||||
\(515\) | −9.66073e7 | + | 9.66073e7i | −0.707275 | + | 0.707275i | ||||
\(516\) | 3.72086e7 | + | 6.44471e7i | 0.270828 | + | 0.469088i | ||||
\(517\) | −3.04827e6 | − | 1.75992e6i | −0.0220588 | − | 0.0127357i | ||||
\(518\) | 1.20722e7 | + | 4.50539e7i | 0.0868551 | + | 0.324148i | ||||
\(519\) | − | 1.34922e8i | − | 0.965119i | ||||||
\(520\) | 1.40786e7 | + | 1.62758e8i | 0.100126 | + | 1.15753i | ||||
\(521\) | 1.40196e8 | 0.991343 | 0.495671 | − | 0.868510i | \(-0.334922\pi\) | ||||
0.495671 | + | 0.868510i | \(0.334922\pi\) | |||||||
\(522\) | −6.69752e7 | + | 1.79459e7i | −0.470871 | + | 0.126170i | ||||
\(523\) | −2.49046e7 | + | 4.31361e7i | −0.174091 | + | 0.301534i | −0.939846 | − | 0.341598i | \(-0.889032\pi\) |
0.765756 | + | 0.643132i | \(0.222365\pi\) | |||||||
\(524\) | 4.77502e7 | − | 2.75686e7i | 0.331880 | − | 0.191611i | ||||
\(525\) | 8.79057e7 | + | 8.79057e7i | 0.607490 | + | 0.607490i | ||||
\(526\) | 8.31388e7 | − | 3.10278e8i | 0.571276 | − | 2.13203i | ||||
\(527\) | −7.63817e7 | − | 2.04664e7i | −0.521864 | − | 0.139833i | ||||
\(528\) | 7.69160e7 | − | 7.69160e7i | 0.522534 | − | 0.522534i | ||||
\(529\) | 2.09112e7 | + | 3.62192e7i | 0.141258 | + | 0.244665i | ||||
\(530\) | 4.98250e8 | + | 2.87665e8i | 3.34672 | + | 1.93223i | ||||
\(531\) | 1.17378e7 | + | 4.38060e7i | 0.0783976 | + | 0.292584i | ||||
\(532\) | − | 6.53964e6i | − | 0.0434329i | ||||||
\(533\) | 6.47597e7 | + | 1.78471e8i | 0.427684 | + | 1.17865i | ||||
\(534\) | −2.91587e7 | −0.191490 | ||||||||
\(535\) | −2.39817e8 | + | 6.42588e7i | −1.56610 | + | 0.419635i | ||||
\(536\) | 1.46338e7 | − | 2.53465e7i | 0.0950303 | − | 0.164597i | ||||
\(537\) | −8.99843e7 | + | 5.19524e7i | −0.581090 | + | 0.335493i | ||||
\(538\) | −1.36330e8 | − | 1.36330e8i | −0.875478 | − | 0.875478i | ||||
\(539\) | −2.36577e7 | + | 8.82917e7i | −0.151080 | + | 0.563837i | ||||
\(540\) | 1.40534e8 | + | 3.76559e7i | 0.892481 | + | 0.239139i | ||||
\(541\) | 1.89076e8 | − | 1.89076e8i | 1.19411 | − | 1.19411i | 0.218212 | − | 0.975901i | \(-0.429977\pi\) |
0.975901 | − | 0.218212i | \(-0.0700226\pi\) | |||||||
\(542\) | 3.59903e6 | + | 6.23370e6i | 0.0226041 | + | 0.0391515i | ||||
\(543\) | 1.50238e7 | + | 8.67401e6i | 0.0938385 | + | 0.0541777i | ||||
\(544\) | −1.57043e7 | − | 5.86092e7i | −0.0975488 | − | 0.364057i | ||||
\(545\) | − | 2.04704e8i | − | 1.26455i | ||||||
\(546\) | −6.74371e7 | − | 3.15270e7i | −0.414306 | − | 0.193689i | ||||
\(547\) | 1.90723e8 | 1.16531 | 0.582654 | − | 0.812721i | \(-0.302014\pi\) | ||||
0.582654 | + | 0.812721i | \(0.302014\pi\) | |||||||
\(548\) | −3.39613e7 | + | 9.09989e6i | −0.206368 | + | 0.0552961i | ||||
\(549\) | −4.35748e6 | + | 7.54737e6i | −0.0263341 | + | 0.0456119i | ||||
\(550\) | −3.05454e8 | + | 1.76354e8i | −1.83594 | + | 1.05998i | ||||
\(551\) | −2.21129e7 | − | 2.21129e7i | −0.132188 | − | 0.132188i | ||||
\(552\) | −2.43924e7 | + | 9.10338e7i | −0.145023 | + | 0.541235i | ||||
\(553\) | 2.75415e7 | + | 7.37972e6i | 0.162859 | + | 0.0436379i | ||||
\(554\) | −1.82626e8 | + | 1.82626e8i | −1.07407 | + | 1.07407i | ||||
\(555\) | −6.75126e7 | − | 1.16935e8i | −0.394917 | − | 0.684016i | ||||
\(556\) | 1.42623e7 | + | 8.23437e6i | 0.0829787 | + | 0.0479077i | ||||
\(557\) | −2.22742e7 | − | 8.31285e7i | −0.128895 | − | 0.481044i | 0.871053 | − | 0.491189i | \(-0.163437\pi\) |
−0.999949 | + | 0.0101449i | \(0.996771\pi\) | |||||||
\(558\) | 1.06959e8i | 0.615621i | ||||||||
\(559\) | −1.49257e8 | − | 2.13607e8i | −0.854475 | − | 1.22287i | ||||
\(560\) | −1.94256e8 | −1.10614 | ||||||||
\(561\) | −4.35429e7 | + | 1.16673e7i | −0.246621 | + | 0.0660818i | ||||
\(562\) | 9.03258e7 | − | 1.56449e8i | 0.508865 | − | 0.881380i | ||||
\(563\) | −1.30569e7 | + | 7.53841e6i | −0.0731670 | + | 0.0422430i | −0.536137 | − | 0.844131i | \(-0.680117\pi\) |
0.462970 | + | 0.886374i | \(0.346784\pi\) | |||||||
\(564\) | −1.52914e6 | − | 1.52914e6i | −0.00852332 | − | 0.00852332i | ||||
\(565\) | 2.64921e7 | − | 9.88699e7i | 0.146883 | − | 0.548174i | ||||
\(566\) | −2.01153e8 | − | 5.38987e7i | −1.10937 | − | 0.297255i | ||||
\(567\) | 2.71122e7 | − | 2.71122e7i | 0.148736 | − | 0.148736i | ||||
\(568\) | −1.09533e8 | − | 1.89717e8i | −0.597723 | − | 1.03529i | ||||
\(569\) | 2.84280e7 | + | 1.64129e7i | 0.154316 | + | 0.0890941i | 0.575169 | − | 0.818034i | \(-0.304936\pi\) |
−0.420854 | + | 0.907128i | \(0.638269\pi\) | |||||||
\(570\) | 1.53050e7 | + | 5.71189e7i | 0.0826433 | + | 0.308429i | ||||
\(571\) | 1.33271e8i | 0.715857i | 0.933749 | + | 0.357929i | \(0.116517\pi\) | ||||
−0.933749 | + | 0.357929i | \(0.883483\pi\) | |||||||
\(572\) | 4.35135e7 | − | 5.17541e7i | 0.232507 | − | 0.276539i | ||||
\(573\) | −1.23993e8 | −0.659073 | ||||||||
\(574\) | −1.35859e8 | + | 3.64033e7i | −0.718377 | + | 0.192489i | ||||
\(575\) | 2.45248e8 | − | 4.24783e8i | 1.29004 | − | 2.23441i | ||||
\(576\) | 1.27528e7 | − | 7.36281e6i | 0.0667324 | − | 0.0385280i | ||||
\(577\) | 2.45904e8 | + | 2.45904e8i | 1.28008 | + | 1.28008i | 0.940619 | + | 0.339464i | \(0.110246\pi\) |
0.339464 | + | 0.940619i | \(0.389754\pi\) | |||||||
\(578\) | 4.93232e7 | − | 1.84077e8i | 0.255428 | − | 0.953269i | ||||
\(579\) | 1.91118e8 | + | 5.12099e7i | 0.984613 | + | 0.263826i | ||||
\(580\) | 1.16602e8 | − | 1.16602e8i | 0.597613 | − | 0.597613i | ||||
\(581\) | 4.49203e7 | + | 7.78042e7i | 0.229041 | + | 0.396711i | ||||
\(582\) | −3.69660e7 | − | 2.13423e7i | −0.187514 | − | 0.108261i | ||||
\(583\) | 6.92490e7 | + | 2.58441e8i | 0.349468 | + | 1.30423i | ||||
\(584\) | − | 2.16111e7i | − | 0.108502i | ||||||
\(585\) | −1.44725e8 | − | 2.56654e7i | −0.722898 | − | 0.128198i | ||||
\(586\) | −2.03726e7 | −0.101240 | ||||||||
\(587\) | −2.48817e8 | + | 6.66704e7i | −1.23017 | + | 0.329624i | −0.814647 | − | 0.579958i | \(-0.803069\pi\) |
−0.415526 | + | 0.909581i | \(0.636402\pi\) | |||||||
\(588\) | −2.80791e7 | + | 4.86345e7i | −0.138118 | + | 0.239228i | ||||
\(589\) | −4.17771e7 | + | 2.41200e7i | −0.204452 | + | 0.118041i | ||||
\(590\) | −2.38221e8 | − | 2.38221e8i | −1.15991 | − | 1.15991i | ||||
\(591\) | −1.07391e7 | + | 4.00788e7i | −0.0520241 | + | 0.194157i | ||||
\(592\) | 1.41631e8 | + | 3.79500e7i | 0.682644 | + | 0.182914i | ||||
\(593\) | −1.13225e8 | + | 1.13225e8i | −0.542972 | + | 0.542972i | −0.924399 | − | 0.381427i | \(-0.875433\pi\) |
0.381427 | + | 0.924399i | \(0.375433\pi\) | |||||||
\(594\) | 1.05673e8 | + | 1.83030e8i | 0.504200 | + | 0.873300i | ||||
\(595\) | 6.97183e7 | + | 4.02519e7i | 0.330976 | + | 0.191089i | ||||
\(596\) | −2.01587e7 | − | 7.52332e7i | −0.0952189 | − | 0.355362i | ||||
\(597\) | 5.31540e7i | 0.249812i | ||||||||
\(598\) | −5.12869e7 | + | 2.89203e8i | −0.239830 | + | 1.35238i | ||||
\(599\) | 3.63641e8 | 1.69197 | 0.845985 | − | 0.533206i | \(-0.179013\pi\) | ||||
0.845985 | + | 0.533206i | \(0.179013\pi\) | |||||||
\(600\) | 2.35185e8 | − | 6.30176e7i | 1.08882 | − | 0.291748i | ||||
\(601\) | −1.54068e8 | + | 2.66854e8i | −0.709724 | + | 1.22928i | 0.255236 | + | 0.966879i | \(0.417847\pi\) |
−0.964960 | + | 0.262398i | \(0.915487\pi\) | |||||||
\(602\) | 1.67187e8 | − | 9.65253e7i | 0.766324 | − | 0.442437i | ||||
\(603\) | 1.86199e7 | + | 1.86199e7i | 0.0849231 | + | 0.0849231i | ||||
\(604\) | −3.64646e7 | + | 1.36088e8i | −0.165486 | + | 0.617601i | ||||
\(605\) | 1.59304e8 | + | 4.26853e7i | 0.719382 | + | 0.192758i | ||||
\(606\) | 8.64157e7 | − | 8.64157e7i | 0.388307 | − | 0.388307i | ||||
\(607\) | 1.45142e8 | + | 2.51393e8i | 0.648972 | + | 1.12405i | 0.983369 | + | 0.181620i | \(0.0581340\pi\) |
−0.334397 | + | 0.942432i | \(0.608533\pi\) | |||||||
\(608\) | −3.20564e7 | − | 1.85078e7i | −0.142628 | − | 0.0823462i | ||||
\(609\) | −2.18519e7 | − | 8.15523e7i | −0.0967468 | − | 0.361064i | ||||
\(610\) | − | 6.47396e7i | − | 0.285220i | ||||||
\(611\) | 5.79611e6 | + | 4.87322e6i | 0.0254105 | + | 0.0213645i | ||||
\(612\) | 1.88900e7 | 0.0824095 | ||||||||
\(613\) | 2.25841e8 | − | 6.05138e7i | 0.980439 | − | 0.262708i | 0.267209 | − | 0.963638i | \(-0.413898\pi\) |
0.713229 | + | 0.700931i | \(0.247232\pi\) | |||||||
\(614\) | −1.60250e8 | + | 2.77561e8i | −0.692298 | + | 1.19910i | ||||
\(615\) | 3.52615e8 | − | 2.03583e8i | 1.51592 | − | 0.875216i | ||||
\(616\) | −3.97984e7 | − | 3.97984e7i | −0.170264 | − | 0.170264i | ||||
\(617\) | −3.95522e7 | + | 1.47611e8i | −0.168390 | + | 0.628439i | 0.829194 | + | 0.558961i | \(0.188800\pi\) |
−0.997583 | + | 0.0694778i | \(0.977867\pi\) | |||||||
\(618\) | −1.17777e8 | − | 3.15584e7i | −0.498996 | − | 0.133705i | ||||
\(619\) | 1.68000e8 | − | 1.68000e8i | 0.708334 | − | 0.708334i | −0.257851 | − | 0.966185i | \(-0.583014\pi\) |
0.966185 | + | 0.257851i | \(0.0830144\pi\) | |||||||
\(620\) | −1.27185e8 | − | 2.20290e8i | −0.533654 | − | 0.924316i | ||||
\(621\) | −2.54533e8 | − | 1.46955e8i | −1.06284 | − | 0.613633i | ||||
\(622\) | 5.01259e7 | + | 1.87072e8i | 0.208301 | + | 0.777390i | ||||
\(623\) | 2.42165e7i | 0.100149i | ||||||||
\(624\) | −1.91828e8 | + | 1.34039e8i | −0.789511 | + | 0.551667i | ||||
\(625\) | −4.66840e8 | −1.91218 | ||||||||
\(626\) | 3.03510e8 | − | 8.13254e7i | 1.23723 | − | 0.331515i | ||||
\(627\) | −1.37501e7 | + | 2.38159e7i | −0.0557832 | + | 0.0966193i | ||||
\(628\) | 9.21216e7 | − | 5.31864e7i | 0.371948 | − | 0.214744i | ||||
\(629\) | −4.29678e7 | − | 4.29678e7i | −0.172660 | − | 0.172660i | ||||
\(630\) | 2.81827e7 | − | 1.05179e8i | 0.112710 | − | 0.420638i | ||||
\(631\) | −2.31363e8 | − | 6.19936e7i | −0.920887 | − | 0.246751i | −0.232922 | − | 0.972495i | \(-0.574829\pi\) |
−0.687964 | + | 0.725744i | \(0.741495\pi\) | |||||||
\(632\) | 3.94877e7 | − | 3.94877e7i | 0.156427 | − | 0.156427i | ||||
\(633\) | 3.28214e7 | + | 5.68483e7i | 0.129403 | + | 0.224133i | ||||
\(634\) | −1.77923e8 | − | 1.02724e8i | −0.698174 | − | 0.403091i | ||||
\(635\) | −1.24258e8 | − | 4.63736e8i | −0.485290 | − | 1.81113i | ||||
\(636\) | 1.64382e8i | 0.638974i | ||||||||
\(637\) | 8.32827e7 | − | 1.78144e8i | 0.322208 | − | 0.689211i | ||||
\(638\) | 2.39538e8 | 0.922387 | ||||||||
\(639\) | 1.90382e8 | − | 5.10126e7i | 0.729664 | − | 0.195513i | ||||
\(640\) | −2.61941e8 | + | 4.53695e8i | −0.999225 | + | 1.73071i | ||||
\(641\) | −2.43991e8 | + | 1.40868e8i | −0.926402 | + | 0.534858i | −0.885672 | − | 0.464312i | \(-0.846302\pi\) |
−0.0407302 | + | 0.999170i | \(0.512968\pi\) | |||||||
\(642\) | −1.56681e8 | − | 1.56681e8i | −0.592120 | − | 0.592120i | ||||
\(643\) | 6.66712e7 | − | 2.48820e8i | 0.250787 | − | 0.935950i | −0.719599 | − | 0.694390i | \(-0.755674\pi\) |
0.970386 | − | 0.241560i | \(-0.0776591\pi\) | |||||||
\(644\) | −6.72872e7 | − | 1.80295e7i | −0.251927 | − | 0.0675036i | ||||
\(645\) | −3.95169e8 | + | 3.95169e8i | −1.47266 | + | 1.47266i | ||||
\(646\) | 1.33061e7 | + | 2.30468e7i | 0.0493573 | + | 0.0854894i | ||||
\(647\) | −3.80998e8 | − | 2.19969e8i | −1.40673 | − | 0.812175i | −0.411657 | − | 0.911339i | \(-0.635050\pi\) |
−0.995071 | + | 0.0991641i | \(0.968383\pi\) | |||||||
\(648\) | −1.94361e7 | − | 7.25367e7i | −0.0714307 | − | 0.266583i | ||||
\(649\) | − | 1.56673e8i | − | 0.573141i | ||||||
\(650\) | 7.13302e8 | − | 2.58828e8i | 2.59737 | − | 0.942479i | ||||
\(651\) | −1.30238e8 | −0.472058 | ||||||||
\(652\) | 9.83089e6 | − | 2.63418e6i | 0.0354691 | − | 0.00950392i | ||||
\(653\) | 2.25913e8 | − | 3.91293e8i | 0.811339 | − | 1.40528i | −0.100588 | − | 0.994928i | \(-0.532072\pi\) |
0.911927 | − | 0.410352i | \(-0.134594\pi\) | |||||||
\(654\) | 1.58216e8 | − | 9.13463e7i | 0.565611 | − | 0.326556i | ||||
\(655\) | 2.92788e8 | + | 2.92788e8i | 1.04191 | + | 1.04191i | ||||
\(656\) | −1.14437e8 | + | 4.27086e8i | −0.405374 | + | 1.51288i | ||||
\(657\) | 1.87814e7 | + | 5.03245e6i | 0.0662263 | + | 0.0177453i | ||||
\(658\) | −3.96684e6 | + | 3.96684e6i | −0.0139241 | + | 0.0139241i | ||||
\(659\) | −6.68129e7 | − | 1.15723e8i | −0.233456 | − | 0.404357i | 0.725367 | − | 0.688362i | \(-0.241670\pi\) |
−0.958823 | + | 0.284005i | \(0.908337\pi\) | |||||||
\(660\) | −1.25581e8 | − | 7.25043e7i | −0.436810 | − | 0.252192i | ||||
\(661\) | 1.13777e8 | + | 4.24621e8i | 0.393958 | + | 1.47027i | 0.823548 | + | 0.567247i | \(0.191991\pi\) |
−0.429590 | + | 0.903024i | \(0.641342\pi\) | |||||||
\(662\) | 1.57810e8i | 0.543952i | ||||||||
\(663\) | 9.66213e7 | − | 8.35773e6i | 0.331537 | − | 0.0286779i | ||||
\(664\) | 1.75957e8 | 0.601038 | ||||||||
\(665\) | 4.74375e7 | − | 1.27108e7i | 0.161308 | − | 0.0432225i | ||||
\(666\) | −4.10959e7 | + | 7.11802e7i | −0.139116 | + | 0.240955i | ||||
\(667\) | −2.88487e8 | + | 1.66558e8i | −0.972186 | + | 0.561292i | ||||
\(668\) | 1.48630e8 | + | 1.48630e8i | 0.498629 | + | 0.498629i | ||||
\(669\) | −7.55793e6 | + | 2.82066e7i | −0.0252420 | + | 0.0942046i | ||||
\(670\) | −1.88948e8 | − | 5.06284e7i | −0.628228 | − | 0.168333i | ||||
\(671\) | 2.12890e7 | − | 2.12890e7i | 0.0704673 | − | 0.0704673i | ||||
\(672\) | −4.99672e7 | − | 8.65457e7i | −0.164656 | − | 0.285192i | ||||
\(673\) | −2.61519e8 | − | 1.50988e8i | −0.857944 | − | 0.495334i | 0.00537952 | − | 0.999986i | \(-0.498288\pi\) |
−0.863323 | + | 0.504652i | \(0.831621\pi\) | |||||||
\(674\) | −3.87515e7 | − | 1.44623e8i | −0.126564 | − | 0.472342i | ||||
\(675\) | 7.59312e8i | 2.46893i | ||||||||
\(676\) | −1.11618e8 | + | 9.32860e7i | −0.361322 | + | 0.301979i | ||||
\(677\) | −3.45180e8 | −1.11245 | −0.556224 | − | 0.831032i | \(-0.687750\pi\) | ||||
−0.556224 | + | 0.831032i | \(0.687750\pi\) | |||||||
\(678\) | 8.82384e7 | − | 2.36434e7i | 0.283119 | − | 0.0758614i | ||||
\(679\) | −1.77249e7 | + | 3.07005e7i | −0.0566207 | + | 0.0980699i | ||||
\(680\) | 1.36547e8 | − | 7.88352e7i | 0.434264 | − | 0.250722i | ||||
\(681\) | −2.17903e8 | − | 2.17903e8i | −0.689957 | − | 0.689957i | ||||
\(682\) | 9.56351e7 | − | 3.56915e8i | 0.301484 | − | 1.12515i | ||||
\(683\) | 7.53340e7 | + | 2.01857e7i | 0.236444 | + | 0.0633551i | 0.375095 | − | 0.926986i | \(-0.377610\pi\) |
−0.138651 | + | 0.990341i | \(0.544277\pi\) | |||||||
\(684\) | 8.14852e6 | − | 8.14852e6i | 0.0254631 | − | 0.0254631i | ||||
\(685\) | −1.32018e8 | − | 2.28663e8i | −0.410736 | − | 0.711416i | ||||
\(686\) | 2.91998e8 | + | 1.68585e8i | 0.904497 | + | 0.522211i | ||||
\(687\) | 4.47249e7 | + | 1.66916e8i | 0.137936 | + | 0.514786i | ||||
\(688\) | − | 6.06874e8i | − | 1.86352i | ||||||
\(689\) | −4.96057e7 | − | 5.73477e8i | −0.151661 | − | 1.75331i | ||||
\(690\) | 6.29899e8 | 1.91745 | ||||||||
\(691\) | −2.78996e6 | + | 747567.i | −0.00845597 | + | 0.00226577i | −0.263045 | − | 0.964784i | \(-0.584727\pi\) |
0.254589 | + | 0.967049i | \(0.418060\pi\) | |||||||
\(692\) | 9.76599e7 | − | 1.69152e8i | 0.294712 | − | 0.510456i | ||||
\(693\) | 4.38548e7 | − | 2.53196e7i | 0.131770 | − | 0.0760776i | ||||
\(694\) | 5.15081e8 | + | 5.15081e8i | 1.54098 | + | 1.54098i | ||||
\(695\) | −3.20096e7 | + | 1.19462e8i | −0.0953513 | + | 0.355856i | ||||
\(696\) | −1.59724e8 | − | 4.27979e7i | −0.473742 | − | 0.126939i | ||||
\(697\) | 1.29568e8 | − | 1.29568e8i | 0.382649 | − | 0.382649i | ||||
\(698\) | 9.38390e7 | + | 1.62534e8i | 0.275941 | + | 0.477945i | ||||
\(699\) | 1.05058e8 | + | 6.06555e7i | 0.307609 | + | 0.177598i | ||||
\(700\) | 4.65791e7 | + | 1.73836e8i | 0.135799 | + | 0.506810i | ||||
\(701\) | 2.34962e8i | 0.682093i | 0.940046 | + | 0.341047i | \(0.110781\pi\) | ||||
−0.940046 | + | 0.341047i | \(0.889219\pi\) | |||||||
\(702\) | −1.55092e8 | − | 4.27416e8i | −0.448309 | − | 1.23549i | ||||
\(703\) | −3.70698e7 | −0.106698 | ||||||||
\(704\) | −4.91386e7 | + | 1.31667e7i | −0.140833 | + | 0.0377361i | ||||
\(705\) | 8.11999e6 | − | 1.40642e7i | 0.0231733 | − | 0.0401374i | ||||
\(706\) | −4.39944e7 | + | 2.54002e7i | −0.125021 | + | 0.0721810i | ||||
\(707\) | −7.17687e7 | − | 7.17687e7i | −0.203085 | − | 0.203085i | ||||
\(708\) | 2.49132e7 | − | 9.29772e7i | 0.0701987 | − | 0.261985i | ||||
\(709\) | −2.40296e8 | − | 6.43870e7i | −0.674228 | − | 0.180659i | −0.0945696 | − | 0.995518i | \(-0.530147\pi\) |
−0.579659 | + | 0.814859i | \(0.696814\pi\) | |||||||
\(710\) | −1.03531e9 | + | 1.03531e9i | −2.89265 | + | 2.89265i | ||||
\(711\) | 2.51220e7 | + | 4.35125e7i | 0.0698948 | + | 0.121061i | ||||
\(712\) | 4.10748e7 | + | 2.37146e7i | 0.113798 | + | 0.0657015i | ||||
\(713\) | 1.32996e8 | + | 4.96348e8i | 0.366919 | + | 1.36936i | ||||
\(714\) | 7.18472e7i | 0.197386i | ||||||||
\(715\) | 4.59992e8 | + | 2.15048e8i | 1.25844 | + | 0.588324i | ||||
\(716\) | −1.50418e8 | −0.409789 | ||||||||
\(717\) | 1.49784e8 | − | 4.01345e7i | 0.406357 | − | 0.108883i | ||||
\(718\) | 1.21986e8 | − | 2.11286e8i | 0.329562 | − | 0.570818i | ||||
\(719\) | 2.69345e8 | − | 1.55506e8i | 0.724640 | − | 0.418371i | −0.0918179 | − | 0.995776i | \(-0.529268\pi\) |
0.816458 | + | 0.577405i | \(0.195934\pi\) | |||||||
\(720\) | −2.42047e8 | − | 2.42047e8i | −0.648487 | − | 0.648487i | ||||
\(721\) | −2.62094e7 | + | 9.78148e7i | −0.0699280 | + | 0.260975i | ||||
\(722\) | −4.25225e8 | − | 1.13939e8i | −1.12982 | − | 0.302733i | ||||
\(723\) | 3.69982e8 | − | 3.69982e8i | 0.978961 | − | 0.978961i | ||||
\(724\) | 1.25569e7 | + | 2.17492e7i | 0.0330877 | + | 0.0573097i | ||||
\(725\) | 7.45305e8 | + | 4.30302e8i | 1.95578 | + | 1.12917i | ||||
\(726\) | 3.80953e7 | + | 1.42174e8i | 0.0995548 | + | 0.371543i | ||||
\(727\) | − | 2.02898e8i | − | 0.528049i | −0.964516 | − | 0.264025i | \(-0.914950\pi\) | ||
0.964516 | − | 0.264025i | \(-0.0850500\pi\) | |||||||
\(728\) | 6.93554e7 | + | 9.92569e7i | 0.179757 | + | 0.257257i | ||||
\(729\) | 3.91285e8 | 1.00997 | ||||||||
\(730\) | −1.39519e8 | + | 3.73839e7i | −0.358644 | + | 0.0960983i | ||||
\(731\) | −1.25751e8 | + | 2.17807e8i | −0.321928 | + | 0.557596i | ||||
\(732\) | 1.60191e7 | − | 9.24864e6i | 0.0408418 | − | 0.0235801i | ||||
\(733\) | −1.28400e8 | − | 1.28400e8i | −0.326026 | − | 0.326026i | 0.525047 | − | 0.851073i | \(-0.324048\pi\) |
−0.851073 | + | 0.525047i | \(0.824048\pi\) | |||||||
\(734\) | 1.02512e7 | − | 3.82581e7i | 0.0259232 | − | 0.0967466i | ||||
\(735\) | −4.07363e8 | − | 1.09153e8i | −1.02594 | − | 0.274898i | ||||
\(736\) | −2.78807e8 | + | 2.78807e8i | −0.699311 | + | 0.699311i | ||||
\(737\) | −4.54850e7 | − | 7.87823e7i | −0.113623 | − | 0.196801i | ||||
\(738\) | −2.14642e8 | − | 1.23924e8i | −0.534006 | − | 0.308308i | ||||
\(739\) | −1.53035e8 | − | 5.71133e8i | −0.379190 | − | 1.41516i | −0.847125 | − | 0.531393i | \(-0.821669\pi\) |
0.467936 | − | 0.883763i | \(-0.344998\pi\) | |||||||
\(740\) | − | 1.95469e8i | − | 0.482373i | ||||||
\(741\) | 3.80740e7 | − | 4.52845e7i | 0.0935780 | − | 0.111300i | ||||
\(742\) | 4.26435e8 | 1.04386 | ||||||||
\(743\) | 2.63549e8 | − | 7.06178e7i | 0.642533 | − | 0.172166i | 0.0771826 | − | 0.997017i | \(-0.475408\pi\) |
0.565351 | + | 0.824851i | \(0.308741\pi\) | |||||||
\(744\) | −1.27539e8 | + | 2.20903e8i | −0.309687 | + | 0.536394i | ||||
\(745\) | 5.06548e8 | − | 2.92456e8i | 1.22504 | − | 0.707280i | ||||
\(746\) | −1.32641e8 | − | 1.32641e8i | −0.319493 | − | 0.319493i | ||||
\(747\) | −4.09740e7 | + | 1.52917e8i | −0.0982985 | + | 0.366855i | ||||
\(748\) | −6.30349e7 | − | 1.68901e7i | −0.150618 | − | 0.0403579i | ||||
\(749\) | −1.30124e8 | + | 1.30124e8i | −0.309679 | + | 0.309679i | ||||
\(750\) | −4.56522e8 | − | 7.90720e8i | −1.08213 | − | 1.87430i | ||||
\(751\) | 1.40650e7 | + | 8.12046e6i | 0.0332064 | + | 0.0191717i | 0.516511 | − | 0.856280i | \(-0.327230\pi\) |
−0.483305 | + | 0.875452i | \(0.660564\pi\) | |||||||
\(752\) | 4.56439e6 | + | 1.70345e7i | 0.0107332 | + | 0.0400568i | ||||
\(753\) | 3.43805e8i | 0.805244i | ||||||||
\(754\) | −5.07422e8 | − | 8.99857e7i | −1.18374 | − | 0.209923i | ||||
\(755\) | −1.05803e9 | −2.45843 | ||||||||
\(756\) | 1.04164e8 | − | 2.79106e7i | 0.241074 | − | 0.0645956i | ||||
\(757\) | −1.16055e7 | + | 2.01012e7i | −0.0267531 | + | 0.0463378i | −0.879092 | − | 0.476652i | \(-0.841850\pi\) |
0.852339 | + | 0.522990i | \(0.175183\pi\) | |||||||
\(758\) | −7.24643e7 | + | 4.18373e7i | −0.166386 | + | 0.0960629i | ||||
\(759\) | 2.07136e8 | + | 2.07136e8i | 0.473729 | + | 0.473729i | ||||
\(760\) | 2.48948e7 | − | 9.29086e7i | 0.0567110 | − | 0.211648i | ||||
\(761\) | 3.36905e7 | + | 9.02735e6i | 0.0764458 | + | 0.0204836i | 0.296839 | − | 0.954927i | \(-0.404067\pi\) |
−0.220393 | + | 0.975411i | \(0.570734\pi\) | |||||||
\(762\) | 3.02974e8 | − | 3.02974e8i | 0.684763 | − | 0.684763i | ||||
\(763\) | −7.58636e7 | − | 1.31400e8i | −0.170789 | − | 0.295815i | ||||
\(764\) | −1.55450e8 | − | 8.97492e7i | −0.348587 | − | 0.201257i | ||||
\(765\) | 3.67158e7 | + | 1.37025e8i | 0.0820103 | + | 0.306066i | ||||
\(766\) | − | 6.66087e8i | − | 1.48199i | ||||||
\(767\) | −5.88563e7 | + | 3.31886e8i | −0.130439 | + | 0.735534i | ||||
\(768\) | −4.01176e8 | −0.885628 | ||||||||
\(769\) | −6.37819e8 | + | 1.70903e8i | −1.40255 | + | 0.375812i | −0.879260 | − | 0.476342i | \(-0.841962\pi\) |
−0.523290 | + | 0.852154i | \(0.675296\pi\) | |||||||
\(770\) | −1.88088e8 | + | 3.25779e8i | −0.411993 | + | 0.713593i | ||||
\(771\) | −2.83298e6 | + | 1.63562e6i | −0.00618132 | + | 0.00356878i | ||||
\(772\) | 2.02538e8 | + | 2.02538e8i | 0.440204 | + | 0.440204i | ||||
\(773\) | −3.29568e7 | + | 1.22996e8i | −0.0713520 | + | 0.266289i | −0.992381 | − | 0.123204i | \(-0.960683\pi\) |
0.921029 | + | 0.389493i | \(0.127350\pi\) | |||||||
\(774\) | 3.28591e8 | + | 8.80456e7i | 0.708651 | + | 0.189882i | ||||
\(775\) | 9.38715e8 | − | 9.38715e8i | 2.01664 | − | 2.01664i | ||||
\(776\) | 3.47151e7 | + | 6.01283e7i | 0.0742904 | + | 0.128675i | ||||
\(777\) | −8.66725e7 | − | 5.00404e7i | −0.184764 | − | 0.106674i | ||||
\(778\) | 1.88713e8 | + | 7.04285e8i | 0.400740 | + | 1.49558i | ||||
\(779\) | − | 1.11783e8i | − | 0.236463i | ||||||
\(780\) | 2.38785e8 | + | 2.00764e8i | 0.503180 | + | 0.423060i | ||||
\(781\) | −6.80905e8 | −1.42933 | ||||||||
\(782\) | 2.73815e8 | − | 7.33686e7i | 0.572582 | − | 0.153423i | ||||
\(783\) | 2.57840e8 | − | 4.46592e8i | 0.537112 | − | 0.930306i | ||||
\(784\) | 3.96616e8 | − | 2.28986e8i | 0.823041 | − | 0.475183i | ||||
\(785\) | 5.64859e8 | + | 5.64859e8i | 1.16770 | + | 1.16770i | ||||
\(786\) | −9.56442e7 | + | 3.56949e8i | −0.196966 | + | 0.735087i | ||||
\(787\) | 7.13891e8 | + | 1.91287e8i | 1.46456 | + | 0.392428i | 0.901063 | − | 0.433688i | \(-0.142788\pi\) |
0.563499 | + | 0.826117i | \(0.309455\pi\) | |||||||
\(788\) | −4.24736e7 | + | 4.24736e7i | −0.0868041 | + | 0.0868041i | ||||
\(789\) | 3.44619e8 | + | 5.96898e8i | 0.701631 | + | 1.21526i | ||||
\(790\) | −3.23236e8 | − | 1.86620e8i | −0.655598 | − | 0.378510i | ||||
\(791\) | −1.96360e7 | − | 7.32825e7i | −0.0396756 | − | 0.148071i | ||||
\(792\) | − | 9.91792e7i | − | 0.199639i | ||||||
\(793\) | −5.30946e7 | + | 3.70997e7i | −0.106471 | + | 0.0743961i | ||||
\(794\) | 3.67353e7 | 0.0733875 | ||||||||
\(795\) | −1.19240e9 | + | 3.19503e8i | −2.37313 | + | 0.635878i | ||||
\(796\) | −3.84742e7 | + | 6.66392e7i | −0.0762834 | + | 0.132127i | ||||
\(797\) | 5.50786e8 | − | 3.17996e8i | 1.08795 | − | 0.628127i | 0.154918 | − | 0.987927i | \(-0.450489\pi\) |
0.933029 | + | 0.359801i | \(0.117155\pi\) | |||||||
\(798\) | 3.09925e7 | + | 3.09925e7i | 0.0609885 | + | 0.0609885i | ||||
\(799\) | 1.89158e6 | − | 7.05948e6i | 0.00370839 | − | 0.0138399i | ||||
\(800\) | 9.83942e8 | + | 2.63647e8i | 1.92176 | + | 0.514935i | ||||
\(801\) | −3.01742e7 | + | 3.01742e7i | −0.0587136 | + | 0.0587136i | ||||
\(802\) | −7.47521e7 | − | 1.29474e8i | −0.144911 | − | 0.250993i | ||||
\(803\) | −5.81727e7 | − | 3.35860e7i | −0.112350 | − | 0.0648652i | ||||
\(804\) | −1.44655e7 | − | 5.39858e7i | −0.0278332 | − | 0.103875i | ||||
\(805\) | − | 5.23134e8i | − | 1.00283i | ||||||
\(806\) | −3.36666e8 | + | 7.20137e8i | −0.642976 | + | 1.37534i | ||||
\(807\) | 4.13685e8 | 0.787134 | ||||||||
\(808\) | −1.92012e8 | + | 5.14494e7i | −0.363993 | + | 0.0975317i | ||||
\(809\) | −2.98581e7 | + | 5.17157e7i | −0.0563918 | + | 0.0976735i | −0.892843 | − | 0.450368i | \(-0.851293\pi\) |
0.836451 | + | 0.548041i | \(0.184626\pi\) | |||||||
\(810\) | −4.34666e8 | + | 2.50955e8i | −0.817902 | + | 0.472216i | ||||
\(811\) | 5.12538e7 | + | 5.12538e7i | 0.0960867 | + | 0.0960867i | 0.753516 | − | 0.657429i | \(-0.228356\pi\) |
−0.657429 | + | 0.753516i | \(0.728356\pi\) | |||||||
\(812\) | 3.16338e7 | − | 1.18059e8i | 0.0590858 | − | 0.220511i | ||||
\(813\) | −1.49184e7 | − | 3.99737e6i | −0.0277619 | − | 0.00743879i | ||||
\(814\) | 2.00779e8 | − | 2.00779e8i | 0.372259 | − | 0.372259i | ||||
\(815\) | 3.82159e7 | + | 6.61918e7i | 0.0705945 | + | 0.122273i | ||||
\(816\) | 1.95600e8 | + | 1.12929e8i | 0.359996 | + | 0.207844i | ||||
\(817\) | 3.97099e7 | + | 1.48199e8i | 0.0728170 | + | 0.271757i | ||||
\(818\) | 5.88689e8i | 1.07554i | ||||||||
\(819\) | −1.02411e8 | + | 3.71606e7i | −0.186420 | + | 0.0676444i | ||||
\(820\) | 5.89432e8 | 1.06904 | ||||||||
\(821\) | 9.51547e8 | − | 2.54966e8i | 1.71949 | − | 0.460737i | 0.741774 | − | 0.670650i | \(-0.233985\pi\) |
0.977720 | + | 0.209913i | \(0.0673179\pi\) | |||||||
\(822\) | 1.17823e8 | − | 2.04075e8i | 0.212135 | − | 0.367429i | ||||
\(823\) | −8.53468e8 | + | 4.92750e8i | −1.53104 | + | 0.883949i | −0.531731 | + | 0.846914i | \(0.678458\pi\) |
−0.999314 | + | 0.0370355i | \(0.988209\pi\) | |||||||
\(824\) | 1.40242e8 | + | 1.40242e8i | 0.250667 | + | 0.250667i | ||||
\(825\) | 1.95873e8 | − | 7.31007e8i | 0.348828 | − | 1.30185i | ||||
\(826\) | −2.41199e8 | − | 6.46290e7i | −0.427991 | − | 0.114680i | ||||
\(827\) | −1.54563e8 | + | 1.54563e8i | −0.273268 | + | 0.273268i | −0.830414 | − | 0.557147i | \(-0.811896\pi\) |
0.557147 | + | 0.830414i | \(0.311896\pi\) | |||||||
\(828\) | −6.13760e7 | − | 1.06306e8i | −0.108120 | − | 0.187270i | ||||
\(829\) | −1.50146e8 | − | 8.66869e7i | −0.263542 | − | 0.152156i | 0.362407 | − | 0.932020i | \(-0.381955\pi\) |
−0.625949 | + | 0.779864i | \(0.715288\pi\) | |||||||
\(830\) | −3.04378e8 | − | 1.13596e9i | −0.532328 | − | 1.98668i | ||||
\(831\) | − | 5.54165e8i | − | 0.965686i | ||||||
\(832\) | 1.09038e8 | − | 9.43177e6i | 0.189325 | − | 0.0163766i | ||||
\(833\) | −1.89794e8 | −0.328357 | ||||||||
\(834\) | −1.06616e8 | + | 2.85677e7i | −0.183791 | + | 0.0492466i | ||||
\(835\) | −7.89254e8 | + | 1.36703e9i | −1.35568 | + | 2.34811i | ||||
\(836\) | −3.44770e7 | + | 1.99053e7i | −0.0590080 | + | 0.0340683i | ||||
\(837\) | −5.62485e8 | − | 5.62485e8i | −0.959256 | − | 0.959256i | ||||
\(838\) | 2.78615e7 | − | 1.03980e8i | 0.0473448 | − | 0.176693i | ||||
\(839\) | −1.13577e9 | − | 3.04328e8i | −1.92311 | − | 0.515295i | −0.986150 | − | 0.165854i | \(-0.946962\pi\) |
−0.936958 | − | 0.349441i | \(-0.886371\pi\) | |||||||
\(840\) | 1.83623e8 | − | 1.83623e8i | 0.309806 | − | 0.309806i | ||||
\(841\) | 5.17602e6 | + | 8.96514e6i | 0.00870178 | + | 0.0150719i | ||||
\(842\) | 6.76918e8 | + | 3.90819e8i | 1.13396 | + | 0.654695i | ||||
\(843\) | 1.00323e8 | + | 3.74410e8i | 0.167462 | + | 0.624978i | ||||
\(844\) | 9.50277e7i | 0.158060i | ||||||||
\(845\) | −8.93630e8 | − | 6.28344e8i | −1.48111 | − | 1.04142i | ||||
\(846\) | −9.88551e6 | −0.0163263 | ||||||||
\(847\) | 1.18076e8 | − | 3.16384e7i | 0.194317 | − | 0.0520672i | ||||
\(848\) | 6.70271e8 | − | 1.16094e9i | 1.09916 | − | 1.90381i | ||||
\(849\) | 3.86968e8 | − | 2.23416e8i | 0.632342 | − | 0.365083i | ||||
\(850\) | −5.17852e8 | − | 5.17852e8i | −0.843236 | − | 0.843236i | ||||
\(851\) | −1.02200e8 | + | 3.81416e8i | −0.165830 | + | 0.618885i | ||||
\(852\) | −4.04081e8 | − | 1.08273e8i | −0.653355 | − | 0.175066i | ||||
\(853\) | −6.47815e8 | + | 6.47815e8i | −1.04377 | + | 1.04377i | −0.0447698 | + | 0.998997i | \(0.514255\pi\) |
−0.998997 | + | 0.0447698i | \(0.985745\pi\) | |||||||
\(854\) | −2.39925e7 | − | 4.15563e7i | −0.0385215 | − | 0.0667211i | ||||
\(855\) | 7.49461e7 | + | 4.32701e7i | 0.119909 | + | 0.0692293i | ||||
\(856\) | 9.32830e7 | + | 3.48137e8i | 0.148724 | + | 0.555046i | ||||
\(857\) | − | 7.31054e8i | − | 1.16147i | −0.814094 | − | 0.580734i | \(-0.802766\pi\) | ||
0.814094 | − | 0.580734i | \(-0.197234\pi\) | |||||||
\(858\) | 3.90539e7 | + | 4.51490e8i | 0.0618304 | + | 0.714804i | ||||
\(859\) | 9.64152e8 | 1.52113 | 0.760564 | − | 0.649263i | \(-0.224922\pi\) | ||||
0.760564 | + | 0.649263i | \(0.224922\pi\) | |||||||
\(860\) | −7.81456e8 | + | 2.09390e8i | −1.22860 | + | 0.329201i | ||||
\(861\) | 1.50896e8 | − | 2.61359e8i | 0.236411 | − | 0.409475i | ||||
\(862\) | −8.17300e8 | + | 4.71868e8i | −1.27603 | + | 0.736714i | ||||
\(863\) | −7.39463e8 | − | 7.39463e8i | −1.15049 | − | 1.15049i | −0.986454 | − | 0.164040i | \(-0.947547\pi\) |
−0.164040 | − | 0.986454i | \(-0.552453\pi\) | |||||||
\(864\) | 1.57979e8 | − | 5.89585e8i | 0.244939 | − | 0.914125i | ||||
\(865\) | 1.41682e9 | + | 3.79636e8i | 2.18910 | + | 0.586568i | ||||
\(866\) | 8.45956e8 | − | 8.45956e8i | 1.30255 | − | 1.30255i | ||||
\(867\) | 2.04450e8 | + | 3.54118e8i | 0.313711 | + | 0.543364i | ||||
\(868\) | −1.63280e8 | − | 9.42695e7i | −0.249674 | − | 0.144149i | ||||
\(869\) | −4.49247e7 | − | 1.67661e8i | −0.0684582 | − | 0.255490i | ||||
\(870\) | 1.10519e9i | 1.67834i | ||||||||
\(871\) | 6.67567e7 | + | 1.83974e8i | 0.101028 | + | 0.278421i | ||||
\(872\) | −2.97164e8 | −0.448175 | ||||||||
\(873\) | −6.03390e7 | + | 1.61678e7i | −0.0906892 | + | 0.0243001i | ||||
\(874\) | 8.64661e7 | − | 1.49764e8i | 0.129513 | − | 0.224322i | ||||
\(875\) | −6.56697e8 | + | 3.79144e8i | −0.980259 | + | 0.565953i | ||||
\(876\) | −2.91817e7 | − | 2.91817e7i | −0.0434109 | − | 0.0434109i | ||||
\(877\) | −4.11382e7 | + | 1.53530e8i | −0.0609883 | + | 0.227611i | −0.989692 | − | 0.143211i | \(-0.954257\pi\) |
0.928704 | + | 0.370822i | \(0.120924\pi\) | |||||||
\(878\) | 4.72226e8 | + | 1.26533e8i | 0.697696 | + | 0.186947i | ||||
\(879\) | 3.09096e7 | − | 3.09096e7i | 0.0455120 | − | 0.0455120i | ||||
\(880\) | 5.91275e8 | + | 1.02412e9i | 0.867643 | + | 1.50280i | ||||
\(881\) | 7.19893e8 | + | 4.15630e8i | 1.05279 | + | 0.607826i | 0.923428 | − | 0.383772i | \(-0.125375\pi\) |
0.129358 | + | 0.991598i | \(0.458708\pi\) | |||||||
\(882\) | 6.64428e7 | + | 2.47968e8i | 0.0968372 | + | 0.361401i | ||||
\(883\) | 1.11009e9i | 1.61241i | 0.591638 | + | 0.806204i | \(0.298482\pi\) | ||||
−0.591638 | + | 0.806204i | \(0.701518\pi\) | |||||||
\(884\) | 1.27184e8 | + | 5.94588e7i | 0.184109 | + | 0.0860714i | ||||
\(885\) | 7.22865e8 | 1.04286 | ||||||||
\(886\) | 5.85671e8 | − | 1.56930e8i | 0.842078 | − | 0.225634i | ||||
\(887\) | 4.37279e8 | − | 7.57390e8i | 0.626596 | − | 1.08530i | −0.361633 | − | 0.932320i | \(-0.617781\pi\) |
0.988230 | − | 0.152977i | \(-0.0488859\pi\) | |||||||
\(888\) | −1.69752e8 | + | 9.80064e7i | −0.242424 | + | 0.139964i | ||||
\(889\) | −2.51621e8 | − | 2.51621e8i | −0.358131 | − | 0.358131i | ||||
\(890\) | 8.20451e7 | − | 3.06196e8i | 0.116381 | − | 0.434340i | ||||
\(891\) | −2.25460e8 | − | 6.04118e7i | −0.318740 | − | 0.0854061i | ||||
\(892\) | −2.98920e7 | + | 2.98920e7i | −0.0421173 | + | 0.0421173i | ||||
\(893\) | −2.22926e6 | − | 3.86119e6i | −0.00313045 | − | 0.00542210i | ||||
\(894\) | 4.52079e8 | + | 2.61008e8i | 0.632706 | + | 0.365293i | ||||
\(895\) | −2.92361e8 | − | 1.09111e9i | −0.407803 | − | 1.52194i | ||||
\(896\) | 3.88302e8i | 0.539815i | ||||||||
\(897\) | −3.60969e8 | − | 5.16596e8i | −0.500142 | − | 0.715770i | ||||
\(898\) | −9.59454e8 | −1.32494 | ||||||||
\(899\) | −8.70869e8 | + | 2.33349e8i | −1.19860 | + | 0.321163i | ||||
\(900\) | −1.58564e8 | + | 2.74641e8i | −0.217509 | + | 0.376737i | ||||
\(901\) | −4.81120e8 | + | 2.77775e8i | −0.657777 | + | 0.379768i | ||||
\(902\) | 6.05445e8 | + | 6.05445e8i | 0.825002 | + | 0.825002i | ||||
\(903\) | −1.07209e8 | + | 4.00108e8i | −0.145602 | + | 0.543393i | ||||
\(904\) | −1.43527e8 | − | 3.84580e7i | −0.194280 | − | 0.0520572i | ||||
\(905\) | −1.33359e8 | + | 1.33359e8i | −0.179919 | + | 0.179919i | ||||
\(906\) | −4.72132e8 | − | 8.17756e8i | −0.634861 | − | 1.09961i | ||||
\(907\) | 2.10984e8 | + | 1.21812e8i | 0.282766 | + | 0.163255i | 0.634675 | − | 0.772779i | \(-0.281134\pi\) |
−0.351909 | + | 0.936034i | \(0.614467\pi\) | |||||||
\(908\) | −1.15462e8 | − | 4.30909e8i | −0.154234 | − | 0.575609i | ||||
\(909\) | − | 1.78850e8i | − | 0.238121i | ||||||
\(910\) | 5.20816e8 | − | 6.19449e8i | 0.691131 | − | 0.822018i | ||||
\(911\) | 9.74837e8 | 1.28937 | 0.644684 | − | 0.764449i | \(-0.276989\pi\) | ||||
0.644684 | + | 0.764449i | \(0.276989\pi\) | |||||||
\(912\) | 1.33089e8 | − | 3.56612e7i | 0.175452 | − | 0.0470122i | ||||
\(913\) | 2.73456e8 | − | 4.73640e8i | 0.359315 | − | 0.622352i | ||||
\(914\) | −4.72451e8 | + | 2.72770e8i | −0.618755 | + | 0.357238i | ||||
\(915\) | 9.82240e7 | + | 9.82240e7i | 0.128220 | + | 0.128220i | ||||
\(916\) | −6.47459e7 | + | 2.41635e8i | −0.0842415 | + | 0.314393i | ||||
\(917\) | 2.96448e8 | + | 7.94330e7i | 0.384451 | + | 0.103013i | ||||
\(918\) | −3.10301e8 | + | 3.10301e8i | −0.401102 | + | 0.401102i | ||||
\(919\) | 5.55148e8 | + | 9.61544e8i | 0.715257 | + | 1.23886i | 0.962860 | + | 0.270000i | \(0.0870237\pi\) |
−0.247603 | + | 0.968861i | \(0.579643\pi\) | |||||||
\(920\) | −8.87314e8 | − | 5.12291e8i | −1.13950 | − | 0.657890i | ||||
\(921\) | −1.77986e8 | − | 6.64254e8i | −0.227828 | − | 0.850267i | ||||
\(922\) | 3.27578e8i | 0.417947i | ||||||||
\(923\) | 1.44238e9 | + | 2.55791e8i | 1.83432 | + | 0.325297i | ||||
\(924\) | −1.07481e8 | −0.136243 | ||||||||
\(925\) | 9.85384e8 | − | 2.64033e8i | 1.24503 | − | 0.333605i | ||||
\(926\) | 4.11727e8 | − | 7.13133e8i | 0.518533 | − | 0.898126i | ||||
\(927\) | −1.54537e8 | + | 8.92218e7i | −0.193996 | + | 0.112004i | ||||
\(928\) | −4.89182e8 | − | 4.89182e8i | −0.612106 | − | 0.612106i | ||||
\(929\) | −2.85125e8 | + | 1.06410e9i | −0.355621 | + | 1.32720i | 0.524080 | + | 0.851669i | \(0.324409\pi\) |
−0.879701 | + | 0.475527i | \(0.842257\pi\) | |||||||
\(930\) | 1.64675e9 | + | 4.41245e8i | 2.04728 | + | 0.548568i | ||||
\(931\) | −8.18707e7 | + | 8.18707e7i | −0.101456 | + | 0.101456i | ||||
\(932\) | 8.78078e7 | + | 1.52088e8i | 0.108464 | + | 0.187865i | ||||
\(933\) | −3.59881e8 | − | 2.07777e8i | −0.443113 | − | 0.255831i | ||||
\(934\) | −4.01215e8 | − | 1.49735e9i | −0.492421 | − | 1.83774i | ||||
\(935\) | − | 4.90074e8i | − | 0.599552i | ||||||
\(936\) | −3.72579e7 | + | 2.10094e8i | −0.0454350 | + | 0.256204i | ||||
\(937\) | −6.67691e8 | −0.811628 | −0.405814 | − | 0.913956i | \(-0.633012\pi\) | ||||
−0.405814 | + | 0.913956i | \(0.633012\pi\) | |||||||
\(938\) | −1.40048e8 | + | 3.75258e7i | −0.169695 | + | 0.0454697i | ||||
\(939\) | −3.37103e8 | + | 5.83879e8i | −0.407160 | + | 0.705222i | ||||
\(940\) | 2.03601e7 | − | 1.17549e7i | 0.0245130 | − | 0.0141526i | ||||
\(941\) | −2.95273e8 | − | 2.95273e8i | −0.354369 | − | 0.354369i | 0.507364 | − | 0.861732i | \(-0.330620\pi\) |
−0.861732 | + | 0.507364i | \(0.830620\pi\) | |||||||
\(942\) | −1.84521e8 | + | 6.88641e8i | −0.220746 | + | 0.823835i | ||||
\(943\) | −1.15015e9 | − | 3.08182e8i | −1.37157 | − | 0.367512i | ||||
\(944\) | −5.55064e8 | + | 5.55064e8i | −0.659823 | + | 0.659823i | ||||
\(945\) | 4.04918e8 | + | 7.01338e8i | 0.479812 | + | 0.831060i | ||||
\(946\) | −1.01776e9 | − | 5.87607e8i | −1.20219 | − | 0.694086i | ||||
\(947\) | −1.09860e8 | − | 4.10003e8i | −0.129357 | − | 0.482767i | 0.870600 | − | 0.491991i | \(-0.163731\pi\) |
−0.999957 | + | 0.00922382i | \(0.997064\pi\) | |||||||
\(948\) | − | 1.06642e8i | − | 0.125170i | ||||||
\(949\) | 1.10612e8 | + | 9.29996e7i | 0.129421 | + | 0.108813i | ||||
\(950\) | −4.46769e8 | −0.521089 | ||||||||
\(951\) | 4.25801e8 | − | 1.14093e8i | 0.495069 | − | 0.132653i | ||||
\(952\) | 5.84327e7 | − | 1.01208e8i | 0.0677244 | − | 0.117302i | ||||
\(953\) | 2.81572e8 | − | 1.62566e8i | 0.325320 | − | 0.187824i | −0.328441 | − | 0.944524i | \(-0.606523\pi\) |
0.653761 | + | 0.756701i | \(0.273190\pi\) | |||||||
\(954\) | 5.31347e8 | + | 5.31347e8i | 0.611974 | + | 0.611974i | ||||
\(955\) | 3.48884e8 | − | 1.30205e9i | 0.400563 | − | 1.49492i | ||||
\(956\) | 2.16835e8 | + | 5.81006e7i | 0.248173 | + | 0.0664978i | ||||
\(957\) | −3.63432e8 | + | 3.63432e8i | −0.414655 | + | 0.414655i | ||||
\(958\) | 7.42587e8 | + | 1.28620e9i | 0.844599 | + | 1.46289i | ||||
\(959\) | −1.69485e8 | − | 9.78522e7i | −0.192166 | − | 0.110947i | ||||
\(960\) | −6.07488e7 | − | 2.26717e8i | −0.0686632 | − | 0.256254i | ||||
\(961\) | 5.03264e8i | 0.567056i | ||||||||
\(962\) | −5.00742e8 | + | 3.49892e8i | −0.562456 | + | 0.393014i | ||||
\(963\) | −3.24274e8 | −0.363106 | ||||||||
\(964\) | 7.31648e8 | − | 1.96044e8i | 0.816716 | − | 0.218838i | ||||
\(965\) | −1.07551e9 | + | 1.86284e9i | −1.19683 | + | 2.07297i | ||||
\(966\) | 4.04331e8 | − | 2.33441e8i | 0.448545 | − | 0.258968i | ||||
\(967\) | 6.23694e7 | + | 6.23694e7i | 0.0689751 | + | 0.0689751i | 0.740753 | − | 0.671778i | \(-0.234469\pi\) |
−0.671778 | + | 0.740753i | \(0.734469\pi\) | |||||||
\(968\) | 6.19652e7 | − | 2.31257e8i | 0.0683159 | − | 0.254958i | ||||
\(969\) | −5.51551e7 | − | 1.47788e7i | −0.0606197 | − | 0.0162430i | ||||
\(970\) | 3.28129e8 | − | 3.28129e8i | 0.359525 | − | 0.359525i | ||||
\(971\) | −8.45520e8 | − | 1.46448e9i | −0.923562 | − | 1.59966i | −0.793857 | − | 0.608104i | \(-0.791930\pi\) |
−0.129705 | − | 0.991553i | \(-0.541403\pi\) | |||||||
\(972\) | 2.81656e8 | + | 1.62614e8i | 0.306704 | + | 0.177076i | ||||
\(973\) | 2.37256e7 | + | 8.85451e7i | 0.0257560 | + | 0.0961227i | ||||
\(974\) | − | 2.18257e9i | − | 2.36207i | ||||||
\(975\) | −6.89535e8 | + | 1.47493e9i | −0.743948 | + | 1.59132i | ||||
\(976\) | −1.50846e8 | −0.162250 | ||||||||
\(977\) | 1.08946e9 | − | 2.91920e8i | 1.16823 | − | 0.313026i | 0.377981 | − | 0.925813i | \(-0.376618\pi\) |
0.790248 | + | 0.612787i | \(0.209952\pi\) | |||||||
\(978\) | −3.41065e7 | + | 5.90742e7i | −0.0364603 | + | 0.0631512i | ||||
\(979\) | 1.27670e8 | − | 7.37100e7i | 0.136063 | − | 0.0785558i | ||||
\(980\) | −4.31704e8 | − | 4.31704e8i | −0.458678 | − | 0.458678i | ||||
\(981\) | 6.91989e7 | − | 2.58254e8i | 0.0732980 | − | 0.273552i | ||||
\(982\) | −7.28469e8 | − | 1.95193e8i | −0.769266 | − | 0.206124i | ||||
\(983\) | 9.01160e8 | − | 9.01160e8i | 0.948727 | − | 0.948727i | −0.0500211 | − | 0.998748i | \(-0.515929\pi\) |
0.998748 | + | 0.0500211i | \(0.0159289\pi\) | |||||||
\(984\) | −2.95536e8 | − | 5.11883e8i | −0.310188 | − | 0.537261i | ||||
\(985\) | −3.90651e8 | − | 2.25542e8i | −0.408771 | − | 0.236004i | ||||
\(986\) | 1.28729e8 | + | 4.80424e8i | 0.134291 | + | 0.501180i | ||||
\(987\) | − | 1.20371e7i | − | 0.0125190i | ||||||
\(988\) | 8.05114e7 | − | 2.92143e7i | 0.0834808 | − | 0.0302918i | ||||
\(989\) | 1.63432e9 | 1.68946 | ||||||||
\(990\) | −6.40289e8 | + | 1.71565e8i | −0.659888 | + | 0.176816i | ||||
\(991\) | 6.67959e8 | − | 1.15694e9i | 0.686323 | − | 1.18875i | −0.286696 | − | 0.958022i | \(-0.592557\pi\) |
0.973019 | − | 0.230725i | \(-0.0741097\pi\) | |||||||
\(992\) | −9.24192e8 | + | 5.33583e8i | −0.946732 | + | 0.546596i | ||||
\(993\) | −2.39432e8 | − | 2.39432e8i | −0.244531 | − | 0.244531i | ||||
\(994\) | −2.80879e8 | + | 1.04825e9i | −0.285996 | + | 1.06735i | ||||
\(995\) | −5.58171e8 | − | 1.49562e8i | −0.566628 | − | 0.151828i | ||||
\(996\) | 2.37597e8 | − | 2.37597e8i | 0.240471 | − | 0.240471i | ||||
\(997\) | −7.28910e8 | − | 1.26251e9i | −0.735510 | − | 1.27394i | −0.954499 | − | 0.298213i | \(-0.903610\pi\) |
0.218990 | − | 0.975727i | \(-0.429724\pi\) | |||||||
\(998\) | 4.80844e8 | + | 2.77615e8i | 0.483740 | + | 0.279288i | ||||
\(999\) | −1.58210e8 | − | 5.90449e8i | −0.158686 | − | 0.592224i |
(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 | 13.7.f.a.7.2 | yes | 24 | |
13.2 | odd | 12 | inner | 13.7.f.a.2.2 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.7.f.a.2.2 | ✓ | 24 | 13.2 | odd | 12 | inner | |
13.7.f.a.7.2 | yes | 24 | 1.1 | even | 1 | trivial |