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 | 7.5 | ||
Character | \(\chi\) | \(=\) | 13.7 |
Dual form | 13.7.f.a.2.5 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.89025 | − | 1.57829i | 0.736281 | − | 0.197286i | 0.128856 | − | 0.991663i | \(-0.458869\pi\) |
0.607424 | + | 0.794377i | \(0.292203\pi\) | |||||||
\(3\) | 20.5701 | − | 35.6285i | 0.761857 | − | 1.31958i | −0.180035 | − | 0.983660i | \(-0.557621\pi\) |
0.941892 | − | 0.335915i | \(-0.109046\pi\) | |||||||
\(4\) | −23.2216 | + | 13.4070i | −0.362838 | + | 0.209485i | ||||
\(5\) | −37.1940 | − | 37.1940i | −0.297552 | − | 0.297552i | 0.542502 | − | 0.840054i | \(-0.317477\pi\) |
−0.840054 | + | 0.542502i | \(0.817477\pi\) | |||||||
\(6\) | 64.9312 | − | 242.326i | 0.300607 | − | 1.12188i | ||||
\(7\) | 588.562 | + | 157.705i | 1.71592 | + | 0.459781i | 0.976865 | − | 0.213859i | \(-0.0686032\pi\) |
0.739060 | + | 0.673639i | \(0.235270\pi\) | |||||||
\(8\) | −391.586 | + | 391.586i | −0.764817 | + | 0.764817i | ||||
\(9\) | −481.762 | − | 834.436i | −0.660853 | − | 1.14463i | ||||
\(10\) | −277.785 | − | 160.379i | −0.277785 | − | 0.160379i | ||||
\(11\) | 357.486 | + | 1334.15i | 0.268584 | + | 1.00237i | 0.960020 | + | 0.279932i | \(0.0903119\pi\) |
−0.691436 | + | 0.722438i | \(0.743021\pi\) | |||||||
\(12\) | 1103.14i | 0.638389i | ||||||||
\(13\) | −2195.96 | + | 67.7273i | −0.999525 | + | 0.0308272i | ||||
\(14\) | 3715.68 | 1.35411 | ||||||||
\(15\) | −2090.25 | + | 560.082i | −0.619335 | + | 0.165950i | ||||
\(16\) | −830.455 | + | 1438.39i | −0.202748 | + | 0.351170i | ||||
\(17\) | 542.831 | − | 313.404i | 0.110489 | − | 0.0637907i | −0.443737 | − | 0.896157i | \(-0.646348\pi\) |
0.554226 | + | 0.832366i | \(0.313014\pi\) | |||||||
\(18\) | −4154.67 | − | 4154.67i | −0.712392 | − | 0.712392i | ||||
\(19\) | 493.874 | − | 1843.16i | 0.0720038 | − | 0.268722i | −0.920533 | − | 0.390664i | \(-0.872245\pi\) |
0.992537 | + | 0.121942i | \(0.0389122\pi\) | |||||||
\(20\) | 1362.37 | + | 365.045i | 0.170296 | + | 0.0456306i | ||||
\(21\) | 17725.6 | − | 17725.6i | 1.91400 | − | 1.91400i | ||||
\(22\) | 4211.36 | + | 7294.28i | 0.395507 | + | 0.685038i | ||||
\(23\) | −8024.91 | − | 4633.18i | −0.659564 | − | 0.380799i | 0.132547 | − | 0.991177i | \(-0.457684\pi\) |
−0.792111 | + | 0.610378i | \(0.791018\pi\) | |||||||
\(24\) | 5896.66 | + | 22006.6i | 0.426552 | + | 1.59192i | ||||
\(25\) | − | 12858.2i | − | 0.822926i | ||||||
\(26\) | −12827.8 | + | 3864.78i | −0.729849 | + | 0.219889i | ||||
\(27\) | −9648.36 | −0.490187 | ||||||||
\(28\) | −15781.7 | + | 4228.70i | −0.718919 | + | 0.192634i | ||||
\(29\) | −15187.1 | + | 26304.9i | −0.622705 | + | 1.07856i | 0.366275 | + | 0.930507i | \(0.380633\pi\) |
−0.988980 | + | 0.148050i | \(0.952700\pi\) | |||||||
\(30\) | −11428.1 | + | 6598.04i | −0.423264 | + | 0.244372i | ||||
\(31\) | 10734.1 | + | 10734.1i | 0.360312 | + | 0.360312i | 0.863928 | − | 0.503616i | \(-0.167997\pi\) |
−0.503616 | + | 0.863928i | \(0.667997\pi\) | |||||||
\(32\) | 6551.76 | − | 24451.5i | 0.199944 | − | 0.746201i | ||||
\(33\) | 54887.5 | + | 14707.1i | 1.52733 | + | 0.409246i | ||||
\(34\) | 2702.77 | − | 2702.77i | 0.0687657 | − | 0.0687657i | ||||
\(35\) | −16025.3 | − | 27756.7i | −0.373768 | − | 0.647386i | ||||
\(36\) | 22374.6 | + | 12918.0i | 0.479565 | + | 0.276877i | ||||
\(37\) | −15082.9 | − | 56290.2i | −0.297770 | − | 1.11129i | −0.938993 | − | 0.343937i | \(-0.888239\pi\) |
0.641223 | − | 0.767354i | \(-0.278427\pi\) | |||||||
\(38\) | − | 11636.2i | − | 0.212060i | ||||||
\(39\) | −42758.1 | + | 79631.8i | −0.720816 | + | 1.34243i | ||||
\(40\) | 29129.3 | 0.455146 | ||||||||
\(41\) | −51334.8 | + | 13755.1i | −0.744835 | + | 0.199578i | −0.611226 | − | 0.791456i | \(-0.709323\pi\) |
−0.133609 | + | 0.991034i | \(0.542657\pi\) | |||||||
\(42\) | 76432.1 | − | 132384.i | 1.03164 | − | 1.78685i | ||||
\(43\) | 22415.5 | − | 12941.6i | 0.281931 | − | 0.162773i | −0.352366 | − | 0.935862i | \(-0.614623\pi\) |
0.634297 | + | 0.773089i | \(0.281290\pi\) | |||||||
\(44\) | −26188.4 | − | 26188.4i | −0.307434 | − | 0.307434i | ||||
\(45\) | −13117.4 | + | 48954.7i | −0.143949 | + | 0.537225i | ||||
\(46\) | −54581.2 | − | 14625.0i | −0.560750 | − | 0.150253i | ||||
\(47\) | −21563.6 | + | 21563.6i | −0.207696 | + | 0.207696i | −0.803288 | − | 0.595591i | \(-0.796918\pi\) |
0.595591 | + | 0.803288i | \(0.296918\pi\) | |||||||
\(48\) | 34165.2 | + | 59175.8i | 0.308930 | + | 0.535082i | ||||
\(49\) | 219648. | + | 126814.i | 1.86697 | + | 1.07790i | ||||
\(50\) | −20293.9 | − | 75738.0i | −0.162352 | − | 0.605904i | ||||
\(51\) | − | 25787.0i | − | 0.194398i | ||||||
\(52\) | 50085.6 | − | 31013.9i | 0.356208 | − | 0.220570i | ||||
\(53\) | −219021. | −1.47115 | −0.735576 | − | 0.677443i | \(-0.763088\pi\) | ||||
−0.735576 | + | 0.677443i | \(0.763088\pi\) | |||||||
\(54\) | −56831.2 | + | 15227.9i | −0.360915 | + | 0.0967070i | ||||
\(55\) | 36326.2 | − | 62918.9i | 0.218340 | − | 0.378175i | ||||
\(56\) | −292228. | + | 168718.i | −1.66402 | + | 0.960720i | ||||
\(57\) | −55510.2 | − | 55510.2i | −0.299742 | − | 0.299742i | ||||
\(58\) | −47939.3 | + | 178912.i | −0.245702 | + | 0.916971i | ||||
\(59\) | 156719. | + | 41992.7i | 0.763072 | + | 0.204465i | 0.619309 | − | 0.785148i | \(-0.287413\pi\) |
0.143763 | + | 0.989612i | \(0.454080\pi\) | |||||||
\(60\) | 41030.1 | − | 41030.1i | 0.189954 | − | 0.189954i | ||||
\(61\) | 201313. | + | 348684.i | 0.886915 | + | 1.53618i | 0.843503 | + | 0.537124i | \(0.180489\pi\) |
0.0434114 | + | 0.999057i | \(0.486177\pi\) | |||||||
\(62\) | 80167.7 | + | 46284.8i | 0.336375 | + | 0.194206i | ||||
\(63\) | −151952. | − | 567093.i | −0.607695 | − | 2.26795i | ||||
\(64\) | − | 260664.i | − | 0.994355i | ||||||
\(65\) | 84195.5 | + | 79157.4i | 0.306583 | + | 0.288238i | ||||
\(66\) | 346513. | 1.20528 | ||||||||
\(67\) | −14911.4 | + | 3995.51i | −0.0495787 | + | 0.0132846i | −0.283523 | − | 0.958965i | \(-0.591503\pi\) |
0.233944 | + | 0.972250i | \(0.424837\pi\) | |||||||
\(68\) | −8403.61 | + | 14555.5i | −0.0267263 | + | 0.0462914i | ||||
\(69\) | −330147. | + | 190611.i | −1.00499 | + | 0.580229i | ||||
\(70\) | −138201. | − | 138201.i | −0.402918 | − | 0.402918i | ||||
\(71\) | 136535. | − | 509556.i | 0.381477 | − | 1.42369i | −0.462168 | − | 0.886792i | \(-0.652928\pi\) |
0.843645 | − | 0.536901i | \(-0.180405\pi\) | |||||||
\(72\) | 515405. | + | 138102.i | 1.38086 | + | 0.370001i | ||||
\(73\) | 121026. | − | 121026.i | 0.311106 | − | 0.311106i | −0.534232 | − | 0.845338i | \(-0.679399\pi\) |
0.845338 | + | 0.534232i | \(0.179399\pi\) | |||||||
\(74\) | −177684. | − | 307758.i | −0.438484 | − | 0.759477i | ||||
\(75\) | −458119. | − | 264495.i | −1.08591 | − | 0.626952i | ||||
\(76\) | 13242.8 | + | 49422.6i | 0.0301674 | + | 0.112586i | ||||
\(77\) | 841610.i | 1.84348i | ||||||||
\(78\) | −126174. | + | 536536.i | −0.265880 | + | 1.13062i | ||||
\(79\) | 326385. | 0.661986 | 0.330993 | − | 0.943633i | \(-0.392616\pi\) | ||||
0.330993 | + | 0.943633i | \(0.392616\pi\) | |||||||
\(80\) | 84387.5 | − | 22611.6i | 0.164819 | − | 0.0441632i | ||||
\(81\) | 152736. | − | 264547.i | 0.287400 | − | 0.497791i | ||||
\(82\) | −280665. | + | 162042.i | −0.509034 | + | 0.293891i | ||||
\(83\) | −342983. | − | 342983.i | −0.599844 | − | 0.599844i | 0.340427 | − | 0.940271i | \(-0.389428\pi\) |
−0.940271 | + | 0.340427i | \(0.889428\pi\) | |||||||
\(84\) | −173970. | + | 649264.i | −0.293519 | + | 1.09543i | ||||
\(85\) | −31846.8 | − | 8533.32i | −0.0518572 | − | 0.0138951i | ||||
\(86\) | 111607. | − | 111607.i | 0.175467 | − | 0.175467i | ||||
\(87\) | 624804. | + | 1.08219e6i | 0.948824 | + | 1.64341i | ||||
\(88\) | −662423. | − | 382450.i | −0.972048 | − | 0.561212i | ||||
\(89\) | −56310.2 | − | 210152.i | −0.0798761 | − | 0.298102i | 0.914419 | − | 0.404770i | \(-0.132648\pi\) |
−0.994295 | + | 0.106668i | \(0.965982\pi\) | |||||||
\(90\) | 309058.i | 0.423948i | ||||||||
\(91\) | −1.30314e6 | − | 306451.i | −1.72928 | − | 0.406665i | ||||
\(92\) | 248469. | 0.319086 | ||||||||
\(93\) | 603240. | − | 161638.i | 0.749965 | − | 0.200953i | ||||
\(94\) | −92981.5 | + | 161049.i | −0.111947 | + | 0.193898i | ||||
\(95\) | −86923.8 | + | 50185.5i | −0.101384 | + | 0.0585339i | ||||
\(96\) | −736401. | − | 736401.i | −0.832339 | − | 0.832339i | ||||
\(97\) | 281554. | − | 1.05078e6i | 0.308494 | − | 1.15132i | −0.621401 | − | 0.783493i | \(-0.713436\pi\) |
0.929895 | − | 0.367824i | \(-0.119897\pi\) | |||||||
\(98\) | 1.49393e6 | + | 400296.i | 1.58727 | + | 0.425308i | ||||
\(99\) | 941043. | − | 941043.i | 0.969849 | − | 0.969849i | ||||
\(100\) | 172390. | + | 298589.i | 0.172390 | + | 0.298589i | ||||
\(101\) | 1.32885e6 | + | 767214.i | 1.28977 | + | 0.744651i | 0.978614 | − | 0.205707i | \(-0.0659495\pi\) |
0.311159 | + | 0.950358i | \(0.399283\pi\) | |||||||
\(102\) | −40699.3 | − | 151892.i | −0.0383519 | − | 0.143131i | ||||
\(103\) | − | 338349.i | − | 0.309637i | −0.987943 | − | 0.154818i | \(-0.950521\pi\) | ||
0.987943 | − | 0.154818i | \(-0.0494793\pi\) | |||||||
\(104\) | 833385. | − | 886427.i | 0.740876 | − | 0.788031i | ||||
\(105\) | −1.31857e6 | −1.13903 | ||||||||
\(106\) | −1.29009e6 | + | 345677.i | −1.08318 | + | 0.290237i | ||||
\(107\) | −442472. | + | 766384.i | −0.361189 | + | 0.625597i | −0.988157 | − | 0.153448i | \(-0.950962\pi\) |
0.626968 | + | 0.779045i | \(0.284296\pi\) | |||||||
\(108\) | 224050. | − | 129356.i | 0.177859 | − | 0.102687i | ||||
\(109\) | 789617. | + | 789617.i | 0.609729 | + | 0.609729i | 0.942875 | − | 0.333146i | \(-0.108110\pi\) |
−0.333146 | + | 0.942875i | \(0.608110\pi\) | |||||||
\(110\) | 114666. | − | 427941.i | 0.0861506 | − | 0.321518i | ||||
\(111\) | −2.31580e6 | − | 620516.i | −1.69329 | − | 0.453716i | ||||
\(112\) | −715616. | + | 715616.i | −0.509361 | + | 0.509361i | ||||
\(113\) | −311238. | − | 539079.i | −0.215703 | − | 0.373609i | 0.737787 | − | 0.675034i | \(-0.235871\pi\) |
−0.953490 | + | 0.301425i | \(0.902538\pi\) | |||||||
\(114\) | −414579. | − | 239357.i | −0.279829 | − | 0.161559i | ||||
\(115\) | 126152. | + | 470805.i | 0.0829469 | + | 0.309562i | ||||
\(116\) | − | 814457.i | − | 0.521788i | ||||||
\(117\) | 1.11444e6 | + | 1.79976e6i | 0.695824 | + | 1.12371i | ||||
\(118\) | 989390. | 0.602173 | ||||||||
\(119\) | 368915. | − | 98850.5i | 0.218920 | − | 0.0586594i | ||||
\(120\) | 599195. | − | 1.03784e6i | 0.346756 | − | 0.600599i | ||||
\(121\) | −117956. | + | 68102.0i | −0.0665831 | + | 0.0384418i | ||||
\(122\) | 1.73610e6 | + | 1.73610e6i | 0.956085 | + | 0.956085i | ||||
\(123\) | −565890. | + | 2.11193e6i | −0.304100 | + | 1.13492i | ||||
\(124\) | −393174. | − | 105351.i | −0.206215 | − | 0.0552551i | ||||
\(125\) | −1.05940e6 | + | 1.05940e6i | −0.542415 | + | 0.542415i | ||||
\(126\) | −1.79007e6 | − | 3.10050e6i | −0.894868 | − | 1.54996i | ||||
\(127\) | 1.44203e6 | + | 832554.i | 0.703982 | + | 0.406444i | 0.808829 | − | 0.588044i | \(-0.200102\pi\) |
−0.104847 | + | 0.994488i | \(0.533435\pi\) | |||||||
\(128\) | 7909.89 | + | 29520.1i | 0.00377173 | + | 0.0140763i | ||||
\(129\) | − | 1.06484e6i | − | 0.496039i | ||||||
\(130\) | 620865. | + | 333372.i | 0.282597 | + | 0.151740i | ||||
\(131\) | −1.50567e6 | −0.669753 | −0.334877 | − | 0.942262i | \(-0.608695\pi\) | ||||
−0.334877 | + | 0.942262i | \(0.608695\pi\) | |||||||
\(132\) | −1.47175e6 | + | 394356.i | −0.639902 | + | 0.171461i | ||||
\(133\) | 581351. | − | 1.00693e6i | 0.247106 | − | 0.428001i | ||||
\(134\) | −81526.0 | + | 47069.0i | −0.0338830 | + | 0.0195623i | ||||
\(135\) | 358861. | + | 358861.i | 0.145856 | + | 0.145856i | ||||
\(136\) | −89840.6 | + | 335290.i | −0.0357154 | + | 0.133292i | ||||
\(137\) | −387164. | − | 103740.i | −0.150568 | − | 0.0403446i | 0.182748 | − | 0.983160i | \(-0.441501\pi\) |
−0.333316 | + | 0.942815i | \(0.608168\pi\) | |||||||
\(138\) | −1.64381e6 | + | 1.64381e6i | −0.625481 | + | 0.625481i | ||||
\(139\) | −349527. | − | 605399.i | −0.130148 | − | 0.225422i | 0.793586 | − | 0.608459i | \(-0.208212\pi\) |
−0.923733 | + | 0.383036i | \(0.874878\pi\) | |||||||
\(140\) | 744268. | + | 429703.i | 0.271235 | + | 0.156597i | ||||
\(141\) | 324714. | + | 1.21185e6i | 0.115836 | + | 0.432305i | ||||
\(142\) | − | 3.21690e6i | − | 1.12350i | ||||||
\(143\) | −875381. | − | 2.90553e6i | −0.299357 | − | 0.993614i | ||||
\(144\) | 1.60033e6 | 0.535946 | ||||||||
\(145\) | 1.54326e6 | − | 413514.i | 0.506214 | − | 0.135640i | ||||
\(146\) | 521857. | − | 903883.i | 0.167685 | − | 0.290438i | ||||
\(147\) | 9.03637e6 | − | 5.21715e6i | 2.84474 | − | 1.64241i | ||||
\(148\) | 1.10493e6 | + | 1.10493e6i | 0.340840 | + | 0.340840i | ||||
\(149\) | −598758. | + | 2.23460e6i | −0.181006 | + | 0.675523i | 0.814444 | + | 0.580242i | \(0.197042\pi\) |
−0.995450 | + | 0.0952818i | \(0.969625\pi\) | |||||||
\(150\) | −3.11588e6 | − | 834899.i | −0.923225 | − | 0.247377i | ||||
\(151\) | −376032. | + | 376032.i | −0.109218 | + | 0.109218i | −0.759604 | − | 0.650386i | \(-0.774607\pi\) |
0.650386 | + | 0.759604i | \(0.274607\pi\) | |||||||
\(152\) | 528363. | + | 915152.i | 0.150453 | + | 0.260593i | ||||
\(153\) | −523030. | − | 301972.i | −0.146034 | − | 0.0843125i | ||||
\(154\) | 1.32830e6 | + | 4.95729e6i | 0.363693 | + | 1.35732i | ||||
\(155\) | − | 798485.i | − | 0.214423i | ||||||
\(156\) | −74712.4 | − | 2.42244e6i | −0.0196797 | − | 0.638086i | ||||
\(157\) | −5.94555e6 | −1.53636 | −0.768181 | − | 0.640233i | \(-0.778838\pi\) | ||||
−0.768181 | + | 0.640233i | \(0.778838\pi\) | |||||||
\(158\) | 1.92249e6 | − | 515129.i | 0.487408 | − | 0.130600i | ||||
\(159\) | −4.50529e6 | + | 7.80338e6i | −1.12081 | + | 1.94130i | ||||
\(160\) | −1.15314e6 | + | 665763.i | −0.281527 | + | 0.162540i | ||||
\(161\) | −3.99248e6 | − | 3.99248e6i | −0.956677 | − | 0.956677i | ||||
\(162\) | 482123. | − | 1.79931e6i | 0.113400 | − | 0.423214i | ||||
\(163\) | 544880. | + | 146000.i | 0.125817 | + | 0.0337124i | 0.321178 | − | 0.947019i | \(-0.395921\pi\) |
−0.195361 | + | 0.980731i | \(0.562588\pi\) | |||||||
\(164\) | 1.00766e6 | − | 1.00766e6i | 0.228446 | − | 0.228446i | ||||
\(165\) | −1.49447e6 | − | 2.58850e6i | −0.332687 | − | 0.576231i | ||||
\(166\) | −2.56158e6 | − | 1.47893e6i | −0.559994 | − | 0.323313i | ||||
\(167\) | 1.07668e6 | + | 4.01821e6i | 0.231172 | + | 0.862746i | 0.979837 | + | 0.199797i | \(0.0640284\pi\) |
−0.748665 | + | 0.662948i | \(0.769305\pi\) | |||||||
\(168\) | 1.38822e7i | 2.92773i | ||||||||
\(169\) | 4.81764e6 | − | 297452.i | 0.998099 | − | 0.0616250i | ||||
\(170\) | −201053. | −0.0409228 | ||||||||
\(171\) | −1.77593e6 | + | 475859.i | −0.355171 | + | 0.0951678i | ||||
\(172\) | −347016. | + | 601049.i | −0.0681968 | + | 0.118120i | ||||
\(173\) | −2.75990e6 | + | 1.59343e6i | −0.533034 | + | 0.307748i | −0.742251 | − | 0.670122i | \(-0.766242\pi\) |
0.209217 | + | 0.977869i | \(0.432909\pi\) | |||||||
\(174\) | 5.38825e6 | + | 5.38825e6i | 1.02282 | + | 1.02282i | ||||
\(175\) | 2.02780e6 | − | 7.56786e6i | 0.378365 | − | 1.41208i | ||||
\(176\) | −2.21591e6 | − | 593752.i | −0.406457 | − | 0.108910i | ||||
\(177\) | 4.71987e6 | − | 4.71987e6i | 0.851158 | − | 0.851158i | ||||
\(178\) | −663361. | − | 1.14898e6i | −0.117622 | − | 0.203728i | ||||
\(179\) | −6.65010e6 | − | 3.83944e6i | −1.15950 | − | 0.669435i | −0.208313 | − | 0.978062i | \(-0.566797\pi\) |
−0.951183 | + | 0.308627i | \(0.900130\pi\) | |||||||
\(180\) | −351729. | − | 1.31267e6i | −0.0603102 | − | 0.225081i | ||||
\(181\) | − | 3.22097e6i | − | 0.543188i | −0.962412 | − | 0.271594i | \(-0.912449\pi\) | ||
0.962412 | − | 0.271594i | \(-0.0875508\pi\) | |||||||
\(182\) | −8.15947e6 | + | 251653.i | −1.35347 | + | 0.0417434i | ||||
\(183\) | 1.65641e7 | 2.70281 | ||||||||
\(184\) | 4.95674e6 | − | 1.32815e6i | 0.795687 | − | 0.213204i | ||||
\(185\) | −1.53267e6 | + | 2.65465e6i | −0.242065 | + | 0.419269i | ||||
\(186\) | 3.29812e6 | − | 1.90417e6i | 0.512540 | − | 0.295915i | ||||
\(187\) | 612183. | + | 612183.i | 0.0936174 | + | 0.0936174i | ||||
\(188\) | 211639. | − | 789846.i | 0.0318509 | − | 0.118869i | ||||
\(189\) | −5.67866e6 | − | 1.52159e6i | −0.841124 | − | 0.225379i | ||||
\(190\) | −432795. | + | 432795.i | −0.0630989 | + | 0.0630989i | ||||
\(191\) | 901256. | + | 1.56102e6i | 0.129344 | + | 0.224031i | 0.923423 | − | 0.383784i | \(-0.125379\pi\) |
−0.794078 | + | 0.607815i | \(0.792046\pi\) | |||||||
\(192\) | −9.28708e6 | − | 5.36190e6i | −1.31213 | − | 0.757557i | ||||
\(193\) | 795631. | + | 2.96934e6i | 0.110673 | + | 0.413035i | 0.998927 | − | 0.0463166i | \(-0.0147483\pi\) |
−0.888254 | + | 0.459352i | \(0.848082\pi\) | |||||||
\(194\) | − | 6.63370e6i | − | 0.908554i | ||||||
\(195\) | 4.55217e6 | − | 1.37148e6i | 0.613924 | − | 0.184964i | ||||
\(196\) | −6.80077e6 | −0.903212 | ||||||||
\(197\) | 9.54013e6 | − | 2.55627e6i | 1.24783 | − | 0.334355i | 0.426332 | − | 0.904567i | \(-0.359805\pi\) |
0.821498 | + | 0.570212i | \(0.193139\pi\) | |||||||
\(198\) | 4.05774e6 | − | 7.02821e6i | 0.522744 | − | 0.905418i | ||||
\(199\) | −4.83432e6 | + | 2.79110e6i | −0.613446 | + | 0.354173i | −0.774313 | − | 0.632803i | \(-0.781904\pi\) |
0.160867 | + | 0.986976i | \(0.448571\pi\) | |||||||
\(200\) | 5.03510e6 | + | 5.03510e6i | 0.629387 | + | 0.629387i | ||||
\(201\) | −164376. | + | 613461.i | −0.0202419 | + | 0.0755438i | ||||
\(202\) | 9.03816e6 | + | 2.42177e6i | 1.09654 | + | 0.293818i | ||||
\(203\) | −1.30870e7 | + | 1.30870e7i | −1.56441 | + | 1.56441i | ||||
\(204\) | 345727. | + | 598817.i | 0.0407233 | + | 0.0705348i | ||||
\(205\) | 2.42096e6 | + | 1.39774e6i | 0.281012 | + | 0.162242i | ||||
\(206\) | −534011. | − | 1.99296e6i | −0.0610870 | − | 0.227980i | ||||
\(207\) | 8.92836e6i | 1.00661i | ||||||||
\(208\) | 1.72623e6 | − | 3.21489e6i | 0.191826 | − | 0.357253i | ||||
\(209\) | 2.63562e6 | 0.288698 | ||||||||
\(210\) | −7.76671e6 | + | 2.08108e6i | −0.838647 | + | 0.224715i | ||||
\(211\) | −5.39915e6 | + | 9.35160e6i | −0.574749 | + | 0.995494i | 0.421320 | + | 0.906912i | \(0.361567\pi\) |
−0.996069 | + | 0.0885821i | \(0.971766\pi\) | |||||||
\(212\) | 5.08601e6 | − | 2.93641e6i | 0.533789 | − | 0.308183i | ||||
\(213\) | −1.53462e7 | − | 1.53462e7i | −1.58804 | − | 1.58804i | ||||
\(214\) | −1.39669e6 | + | 5.21253e6i | −0.142515 | + | 0.531873i | ||||
\(215\) | −1.31507e6 | − | 352372.i | −0.132323 | − | 0.0354557i | ||||
\(216\) | 3.77816e6 | − | 3.77816e6i | 0.374904 | − | 0.374904i | ||||
\(217\) | 4.62485e6 | + | 8.01047e6i | 0.452604 | + | 0.783933i | ||||
\(218\) | 5.89728e6 | + | 3.40480e6i | 0.569223 | + | 0.328641i | ||||
\(219\) | −1.82245e6 | − | 6.80147e6i | −0.173509 | − | 0.647546i | ||||
\(220\) | 1.94811e6i | 0.182955i | ||||||||
\(221\) | −1.17081e6 | + | 724985.i | −0.108470 | + | 0.0671664i | ||||
\(222\) | −1.46200e7 | −1.33625 | ||||||||
\(223\) | 838627. | − | 224709.i | 0.0756230 | − | 0.0202631i | −0.220809 | − | 0.975317i | \(-0.570870\pi\) |
0.296432 | + | 0.955054i | \(0.404203\pi\) | |||||||
\(224\) | 7.71224e6 | − | 1.33580e7i | 0.686177 | − | 1.18849i | ||||
\(225\) | −1.07294e7 | + | 6.19459e6i | −0.941946 | + | 0.543833i | ||||
\(226\) | −2.68409e6 | − | 2.68409e6i | −0.232526 | − | 0.232526i | ||||
\(227\) | −5.26126e6 | + | 1.96353e7i | −0.449792 | + | 1.67865i | 0.253172 | + | 0.967421i | \(0.418526\pi\) |
−0.702964 | + | 0.711226i | \(0.748140\pi\) | |||||||
\(228\) | 2.03326e6 | + | 544811.i | 0.171549 | + | 0.0459665i | ||||
\(229\) | 6.16858e6 | − | 6.16858e6i | 0.513664 | − | 0.513664i | −0.401983 | − | 0.915647i | \(-0.631679\pi\) |
0.915647 | + | 0.401983i | \(0.131679\pi\) | |||||||
\(230\) | 1.48613e6 | + | 2.57405e6i | 0.122144 | + | 0.211560i | ||||
\(231\) | 2.99853e7 | + | 1.73120e7i | 2.43261 | + | 1.40447i | ||||
\(232\) | −4.35356e6 | − | 1.62477e7i | −0.348643 | − | 1.30115i | ||||
\(233\) | − | 1.35981e7i | − | 1.07500i | −0.843263 | − | 0.537502i | \(-0.819368\pi\) | ||
0.843263 | − | 0.537502i | \(-0.180632\pi\) | |||||||
\(234\) | 9.40486e6 | + | 8.84209e6i | 0.734015 | + | 0.690093i | ||||
\(235\) | 1.60408e6 | 0.123601 | ||||||||
\(236\) | −4.20227e6 | + | 1.12599e6i | −0.319704 | + | 0.0856643i | ||||
\(237\) | 6.71379e6 | − | 1.16286e7i | 0.504339 | − | 0.873541i | ||||
\(238\) | 2.01699e6 | − | 1.16451e6i | 0.149614 | − | 0.0863796i | ||||
\(239\) | −875426. | − | 875426.i | −0.0641248 | − | 0.0641248i | 0.674317 | − | 0.738442i | \(-0.264438\pi\) |
−0.738442 | + | 0.674317i | \(0.764438\pi\) | |||||||
\(240\) | 930246. | − | 3.47173e6i | 0.0672921 | − | 0.251138i | ||||
\(241\) | 3.66411e6 | + | 981795.i | 0.261768 | + | 0.0701407i | 0.387316 | − | 0.921947i | \(-0.373402\pi\) |
−0.125548 | + | 0.992088i | \(0.540069\pi\) | |||||||
\(242\) | −587306. | + | 587306.i | −0.0414398 | + | 0.0414398i | ||||
\(243\) | −9.80044e6 | − | 1.69749e7i | −0.683009 | − | 1.18301i | ||||
\(244\) | −9.34962e6 | − | 5.39801e6i | −0.643612 | − | 0.371590i | ||||
\(245\) | −3.45287e6 | − | 1.28863e7i | −0.234791 | − | 0.876253i | ||||
\(246\) | 1.33329e7i | 0.895612i | ||||||||
\(247\) | −959693. | + | 4.08095e6i | −0.0636857 | + | 0.270814i | ||||
\(248\) | −8.40662e6 | −0.551146 | ||||||||
\(249\) | −1.92752e7 | + | 5.16477e6i | −1.24854 | + | 0.334544i | ||||
\(250\) | −4.56811e6 | + | 7.91220e6i | −0.292359 | + | 0.506381i | ||||
\(251\) | 2.41782e6 | − | 1.39593e6i | 0.152898 | − | 0.0882757i | −0.421599 | − | 0.906782i | \(-0.638531\pi\) |
0.574497 | + | 0.818507i | \(0.305198\pi\) | |||||||
\(252\) | 1.11316e7 | + | 1.11316e7i | 0.695594 | + | 0.695594i | ||||
\(253\) | 3.31259e6 | − | 1.23628e7i | 0.204553 | − | 0.763404i | ||||
\(254\) | 9.80789e6 | + | 2.62802e6i | 0.598514 | + | 0.160371i | ||||
\(255\) | −959123. | + | 959123.i | −0.0578434 | + | 0.0578434i | ||||
\(256\) | 8.43444e6 | + | 1.46089e7i | 0.502732 | + | 0.870757i | ||||
\(257\) | 8.55478e6 | + | 4.93910e6i | 0.503975 | + | 0.290970i | 0.730354 | − | 0.683069i | \(-0.239355\pi\) |
−0.226378 | + | 0.974039i | \(0.572689\pi\) | |||||||
\(258\) | −1.68062e6 | − | 6.27217e6i | −0.0978614 | − | 0.365224i | ||||
\(259\) | − | 3.55090e7i | − | 2.04380i | ||||||
\(260\) | −3.01642e6 | − | 709353.i | −0.171621 | − | 0.0403592i | ||||
\(261\) | 2.92663e7 | 1.64606 | ||||||||
\(262\) | −8.86875e6 | + | 2.37637e6i | −0.493126 | + | 0.132133i | ||||
\(263\) | 7.81292e6 | − | 1.35324e7i | 0.429483 | − | 0.743887i | −0.567344 | − | 0.823481i | \(-0.692029\pi\) |
0.996827 | + | 0.0795938i | \(0.0253623\pi\) | |||||||
\(264\) | −2.72523e7 | + | 1.57341e7i | −1.48112 | + | 0.855127i | ||||
\(265\) | 8.14625e6 | + | 8.14625e6i | 0.437744 | + | 0.437744i | ||||
\(266\) | 1.83508e6 | − | 6.84860e6i | 0.0975011 | − | 0.363879i | ||||
\(267\) | −8.64573e6 | − | 2.31662e6i | −0.454222 | − | 0.121708i | ||||
\(268\) | 292700. | − | 292700.i | 0.0152061 | − | 0.0152061i | ||||
\(269\) | 8.28748e6 | + | 1.43543e7i | 0.425761 | + | 0.737439i | 0.996491 | − | 0.0836985i | \(-0.0266733\pi\) |
−0.570731 | + | 0.821137i | \(0.693340\pi\) | |||||||
\(270\) | 2.68017e6 | + | 1.54739e6i | 0.136167 | + | 0.0786158i | ||||
\(271\) | 4.29602e6 | + | 1.60330e7i | 0.215853 | + | 0.805574i | 0.985865 | + | 0.167544i | \(0.0535837\pi\) |
−0.770012 | + | 0.638030i | \(0.779750\pi\) | |||||||
\(272\) | 1.04107e6i | 0.0517337i | ||||||||
\(273\) | −3.77241e7 | + | 4.01251e7i | −1.85409 | + | 1.97210i | ||||
\(274\) | −2.44422e6 | −0.118820 | ||||||||
\(275\) | 1.71548e7 | − | 4.59663e6i | 0.824876 | − | 0.221025i | ||||
\(276\) | 5.11103e6 | − | 8.85257e6i | 0.243098 | − | 0.421058i | ||||
\(277\) | −2.90678e7 | + | 1.67823e7i | −1.36764 | + | 0.789610i | −0.990627 | − | 0.136597i | \(-0.956384\pi\) |
−0.377017 | + | 0.926206i | \(0.623050\pi\) | |||||||
\(278\) | −3.01429e6 | − | 3.01429e6i | −0.140298 | − | 0.140298i | ||||
\(279\) | 3.78562e6 | − | 1.41281e7i | 0.174311 | − | 0.650538i | ||||
\(280\) | 1.71444e7 | + | 4.59383e6i | 0.780996 | + | 0.209267i | ||||
\(281\) | 4.20270e6 | − | 4.20270e6i | 0.189413 | − | 0.189413i | −0.606029 | − | 0.795442i | \(-0.707239\pi\) |
0.795442 | + | 0.606029i | \(0.207239\pi\) | |||||||
\(282\) | 3.82529e6 | + | 6.62559e6i | 0.170575 | + | 0.295445i | ||||
\(283\) | −2.31934e7 | − | 1.33907e7i | −1.02330 | − | 0.590805i | −0.108245 | − | 0.994124i | \(-0.534523\pi\) |
−0.915059 | + | 0.403319i | \(0.867856\pi\) | |||||||
\(284\) | 3.66105e6 | + | 1.36632e7i | 0.159827 | + | 0.596483i | ||||
\(285\) | 4.12929e6i | 0.178378i | ||||||||
\(286\) | −9.74198e6 | − | 1.57327e7i | −0.416437 | − | 0.672520i | ||||
\(287\) | −3.23830e7 | −1.36984 | ||||||||
\(288\) | −2.35596e7 | + | 6.31277e6i | −0.986258 | + | 0.264267i | ||||
\(289\) | −1.18723e7 | + | 2.05635e7i | −0.491861 | + | 0.851929i | ||||
\(290\) | 8.43751e6 | − | 4.87140e6i | 0.345956 | − | 0.199738i | ||||
\(291\) | −3.16460e7 | − | 3.16460e7i | −1.28422 | − | 1.28422i | ||||
\(292\) | −1.18782e6 | + | 4.43300e6i | −0.0477091 | + | 0.178053i | ||||
\(293\) | 4.37798e7 | + | 1.17307e7i | 1.74049 | + | 0.466362i | 0.982555 | − | 0.185973i | \(-0.0595438\pi\) |
0.757931 | + | 0.652335i | \(0.226210\pi\) | |||||||
\(294\) | 4.49923e7 | − | 4.49923e7i | 1.77050 | − | 1.77050i | ||||
\(295\) | −4.26713e6 | − | 7.39088e6i | −0.166215 | − | 0.287892i | ||||
\(296\) | 2.79488e7 | + | 1.61362e7i | 1.07767 | + | 0.622195i | ||||
\(297\) | −3.44915e6 | − | 1.28724e7i | −0.131657 | − | 0.491349i | ||||
\(298\) | 1.41073e7i | 0.533085i | ||||||||
\(299\) | 1.79361e7 | + | 9.63076e6i | 0.670989 | + | 0.360286i | ||||
\(300\) | 1.41844e7 | 0.525347 | ||||||||
\(301\) | 1.52339e7 | − | 4.08190e6i | 0.558612 | − | 0.149680i | ||||
\(302\) | −1.62143e6 | + | 2.80840e6i | −0.0588679 | + | 0.101962i | ||||
\(303\) | 5.46694e7 | − | 3.15634e7i | 1.96525 | − | 1.13463i | ||||
\(304\) | 2.24105e6 | + | 2.24105e6i | 0.0797684 | + | 0.0797684i | ||||
\(305\) | 5.48133e6 | − | 2.04566e7i | 0.193191 | − | 0.720997i | ||||
\(306\) | −3.55737e6 | − | 953196.i | −0.124155 | − | 0.0332673i | ||||
\(307\) | 9.50157e6 | − | 9.50157e6i | 0.328383 | − | 0.328383i | −0.523589 | − | 0.851971i | \(-0.675407\pi\) |
0.851971 | + | 0.523589i | \(0.175407\pi\) | |||||||
\(308\) | −1.12835e7 | − | 1.95436e7i | −0.386181 | − | 0.668885i | ||||
\(309\) | −1.20549e7 | − | 6.95988e6i | −0.408589 | − | 0.235899i | ||||
\(310\) | −1.26024e6 | − | 4.70327e6i | −0.0423027 | − | 0.157876i | ||||
\(311\) | 3.62353e7i | 1.20462i | 0.798262 | + | 0.602311i | \(0.205753\pi\) | ||||
−0.798262 | + | 0.602311i | \(0.794247\pi\) | |||||||
\(312\) | −1.44393e7 | − | 4.79262e7i | −0.475424 | − | 1.57801i | ||||
\(313\) | 2.57794e7 | 0.840698 | 0.420349 | − | 0.907363i | \(-0.361908\pi\) | ||||
0.420349 | + | 0.907363i | \(0.361908\pi\) | |||||||
\(314\) | −3.50208e7 | + | 9.38379e6i | −1.13119 | + | 0.303102i | ||||
\(315\) | −1.54408e7 | + | 2.67442e7i | −0.494012 | + | 0.855653i | ||||
\(316\) | −7.57919e6 | + | 4.37585e6i | −0.240194 | + | 0.138676i | ||||
\(317\) | −1.85929e7 | − | 1.85929e7i | −0.583674 | − | 0.583674i | 0.352237 | − | 0.935911i | \(-0.385421\pi\) |
−0.935911 | + | 0.352237i | \(0.885421\pi\) | |||||||
\(318\) | −1.42213e7 | + | 5.30745e7i | −0.442239 | + | 1.65046i | ||||
\(319\) | −4.05240e7 | − | 1.08584e7i | −1.24836 | − | 0.334497i | ||||
\(320\) | −9.69515e6 | + | 9.69515e6i | −0.295872 | + | 0.295872i | ||||
\(321\) | 1.82034e7 | + | 3.15292e7i | 0.550349 | + | 0.953232i | ||||
\(322\) | −2.98180e7 | − | 1.72154e7i | −0.893122 | − | 0.515644i | ||||
\(323\) | −309564. | − | 1.15531e6i | −0.00918635 | − | 0.0342839i | ||||
\(324\) | 8.19094e6i | 0.240823i | ||||||||
\(325\) | 870852. | + | 2.82361e7i | 0.0253685 | + | 0.822534i | ||||
\(326\) | 3.43990e6 | 0.0992873 | ||||||||
\(327\) | 4.43754e7 | − | 1.18904e7i | 1.26911 | − | 0.340057i | ||||
\(328\) | 1.47157e7 | − | 2.54883e7i | 0.417022 | − | 0.722304i | ||||
\(329\) | −1.60922e7 | + | 9.29085e6i | −0.451885 | + | 0.260896i | ||||
\(330\) | −1.28882e7 | − | 1.28882e7i | −0.358633 | − | 0.358633i | ||||
\(331\) | 5.15160e6 | − | 1.92260e7i | 0.142056 | − | 0.530159i | −0.857813 | − | 0.513961i | \(-0.828177\pi\) |
0.999869 | − | 0.0161971i | \(-0.00515592\pi\) | |||||||
\(332\) | 1.25630e7 | + | 3.36625e6i | 0.343304 | + | 0.0919881i | ||||
\(333\) | −3.97042e7 | + | 3.97042e7i | −1.07524 | + | 1.07524i | ||||
\(334\) | 1.26838e7 | + | 2.19689e7i | 0.340415 | + | 0.589616i | ||||
\(335\) | 703225. | + | 406007.i | 0.0187051 | + | 0.0107994i | ||||
\(336\) | 1.07760e7 | + | 4.02167e7i | 0.284080 | + | 1.06020i | ||||
\(337\) | − | 1.74513e7i | − | 0.455972i | −0.973664 | − | 0.227986i | \(-0.926786\pi\) | ||
0.973664 | − | 0.227986i | \(-0.0732140\pi\) | |||||||
\(338\) | 2.79076e7 | − | 9.35568e6i | 0.722724 | − | 0.242284i | ||||
\(339\) | −2.56088e7 | −0.657340 | ||||||||
\(340\) | 853941. | − | 228813.i | 0.0217266 | − | 0.00582161i | ||||
\(341\) | −1.04836e7 | + | 1.81582e7i | −0.264392 | + | 0.457940i | ||||
\(342\) | −9.70963e6 | + | 5.60586e6i | −0.242730 | + | 0.140140i | ||||
\(343\) | 5.85872e7 | + | 5.85872e7i | 1.45185 | + | 1.45185i | ||||
\(344\) | −3.70985e6 | + | 1.38453e7i | −0.0911341 | + | 0.340117i | ||||
\(345\) | 1.93691e7 | + | 5.18992e6i | 0.471684 | + | 0.126387i | ||||
\(346\) | −1.37416e7 | + | 1.37416e7i | −0.331749 | + | 0.331749i | ||||
\(347\) | −2.82107e7 | − | 4.88624e7i | −0.675190 | − | 1.16946i | −0.976413 | − | 0.215910i | \(-0.930728\pi\) |
0.301223 | − | 0.953554i | \(-0.402605\pi\) | |||||||
\(348\) | −2.90179e7 | − | 1.67535e7i | −0.688539 | − | 0.397528i | ||||
\(349\) | −1.25014e7 | − | 4.66558e7i | −0.294091 | − | 1.09756i | −0.941937 | − | 0.335791i | \(-0.890997\pi\) |
0.647846 | − | 0.761772i | \(-0.275670\pi\) | |||||||
\(350\) | − | 4.77770e7i | − | 1.11433i | ||||||
\(351\) | 2.11874e7 | − | 653457.i | 0.489954 | − | 0.0151111i | ||||
\(352\) | 3.49643e7 | 0.801671 | ||||||||
\(353\) | 9.02976e6 | − | 2.41952e6i | 0.205283 | − | 0.0550053i | −0.154712 | − | 0.987960i | \(-0.549445\pi\) |
0.359995 | + | 0.932954i | \(0.382778\pi\) | |||||||
\(354\) | 2.03519e7 | − | 3.52505e7i | 0.458770 | − | 0.794613i | ||||
\(355\) | −2.40307e7 | + | 1.38741e7i | −0.537132 | + | 0.310113i | ||||
\(356\) | 4.12513e6 | + | 4.12513e6i | 0.0914297 | + | 0.0914297i | ||||
\(357\) | 4.06674e6 | − | 1.51773e7i | 0.0893802 | − | 0.333572i | ||||
\(358\) | −4.52305e7 | − | 1.21195e7i | −0.985784 | − | 0.264140i | ||||
\(359\) | −5.67389e7 | + | 5.67389e7i | −1.22630 | + | 1.22630i | −0.260949 | + | 0.965353i | \(0.584036\pi\) |
−0.965353 | + | 0.260949i | \(0.915964\pi\) | |||||||
\(360\) | −1.40334e7 | − | 2.43066e7i | −0.300784 | − | 0.520974i | ||||
\(361\) | 3.75896e7 | + | 2.17024e7i | 0.798998 | + | 0.461302i | ||||
\(362\) | −5.08361e6 | − | 1.89723e7i | −0.107163 | − | 0.399939i | ||||
\(363\) | 5.60347e6i | 0.117149i | ||||||||
\(364\) | 3.43696e7 | − | 1.03549e7i | 0.712639 | − | 0.214705i | ||||
\(365\) | −9.00285e6 | −0.185140 | ||||||||
\(366\) | 9.75668e7 | − | 2.61429e7i | 1.99003 | − | 0.533226i | ||||
\(367\) | 8.54109e6 | − | 1.47936e7i | 0.172789 | − | 0.299279i | −0.766605 | − | 0.642119i | \(-0.778056\pi\) |
0.939394 | + | 0.342840i | \(0.111389\pi\) | |||||||
\(368\) | 1.33287e7 | − | 7.69531e6i | 0.267450 | − | 0.154412i | ||||
\(369\) | 3.62089e7 | + | 3.62089e7i | 0.720670 | + | 0.720670i | ||||
\(370\) | −4.83797e6 | + | 1.80555e7i | −0.0955120 | + | 0.356456i | ||||
\(371\) | −1.28907e8 | − | 3.45406e7i | −2.52438 | − | 0.676407i | ||||
\(372\) | −1.18411e7 | + | 1.18411e7i | −0.230019 | + | 0.230019i | ||||
\(373\) | −3.59883e6 | − | 6.23336e6i | −0.0693482 | − | 0.120115i | 0.829266 | − | 0.558854i | \(-0.188759\pi\) |
−0.898615 | + | 0.438739i | \(0.855425\pi\) | |||||||
\(374\) | 4.57211e6 | + | 2.63971e6i | 0.0873981 | + | 0.0504593i | ||||
\(375\) | 1.59529e7 | + | 5.95372e7i | 0.302515 | + | 1.12900i | ||||
\(376\) | − | 1.68880e7i | − | 0.317699i | ||||||
\(377\) | 3.15687e7 | − | 5.87930e7i | 0.589160 | − | 1.09724i | ||||
\(378\) | −3.58502e7 | −0.663768 | ||||||||
\(379\) | 3.06199e7 | − | 8.20458e6i | 0.562453 | − | 0.150709i | 0.0336201 | − | 0.999435i | \(-0.489296\pi\) |
0.528833 | + | 0.848726i | \(0.322630\pi\) | |||||||
\(380\) | 1.34567e6 | − | 2.33078e6i | 0.0245239 | − | 0.0424766i | ||||
\(381\) | 5.93253e7 | − | 3.42515e7i | 1.07267 | − | 0.619305i | ||||
\(382\) | 7.77235e6 | + | 7.77235e6i | 0.139432 | + | 0.139432i | ||||
\(383\) | 5.39463e6 | − | 2.01330e7i | 0.0960207 | − | 0.358354i | −0.901151 | − | 0.433504i | \(-0.857277\pi\) |
0.997172 | + | 0.0751500i | \(0.0239436\pi\) | |||||||
\(384\) | 1.21447e6 | + | 325415.i | 0.0214482 | + | 0.00574704i | ||||
\(385\) | 3.13029e7 | − | 3.13029e7i | 0.548532 | − | 0.548532i | ||||
\(386\) | 9.37292e6 | + | 1.62344e7i | 0.162972 | + | 0.282276i | ||||
\(387\) | −2.15978e7 | − | 1.24695e7i | −0.372630 | − | 0.215138i | ||||
\(388\) | 7.54961e6 | + | 2.81755e7i | 0.129250 | + | 0.482366i | ||||
\(389\) | 1.01669e8i | 1.72719i | 0.504184 | + | 0.863596i | \(0.331793\pi\) | ||||
−0.504184 | + | 0.863596i | \(0.668207\pi\) | |||||||
\(390\) | 2.46488e7 | − | 1.52630e7i | 0.415530 | − | 0.257304i | ||||
\(391\) | −5.80823e6 | −0.0971658 | ||||||||
\(392\) | −1.35669e8 | + | 3.63525e7i | −2.25229 | + | 0.603499i | ||||
\(393\) | −3.09718e7 | + | 5.36447e7i | −0.510256 | + | 0.883790i | ||||
\(394\) | 5.21592e7 | − | 3.01141e7i | 0.852790 | − | 0.492358i | ||||
\(395\) | −1.21396e7 | − | 1.21396e7i | −0.196975 | − | 0.196975i | ||||
\(396\) | −9.23598e6 | + | 3.44691e7i | −0.148730 | + | 0.555066i | ||||
\(397\) | 8.39118e6 | + | 2.24841e6i | 0.134107 | + | 0.0359339i | 0.325248 | − | 0.945629i | \(-0.394552\pi\) |
−0.191141 | + | 0.981563i | \(0.561219\pi\) | |||||||
\(398\) | −2.40702e7 | + | 2.40702e7i | −0.381795 | + | 0.381795i | ||||
\(399\) | −2.39170e7 | − | 4.14254e7i | −0.376519 | − | 0.652151i | ||||
\(400\) | 1.84951e7 | + | 1.06782e7i | 0.288987 | + | 0.166846i | ||||
\(401\) | −2.75003e7 | − | 1.02633e8i | −0.426486 | − | 1.59167i | −0.760656 | − | 0.649155i | \(-0.775122\pi\) |
0.334169 | − | 0.942513i | \(-0.391544\pi\) | |||||||
\(402\) | 3.87287e6i | 0.0596148i | ||||||||
\(403\) | −2.42985e7 | − | 2.28445e7i | −0.371248 | − | 0.349033i | ||||
\(404\) | −4.11442e7 | −0.623971 | ||||||||
\(405\) | −1.55204e7 | + | 4.15869e6i | −0.233635 | + | 0.0626024i | ||||
\(406\) | −5.64306e7 | + | 9.77406e7i | −0.843211 | + | 1.46048i | ||||
\(407\) | 6.97080e7 | − | 4.02459e7i | 1.03395 | − | 0.596951i | ||||
\(408\) | 1.00978e7 | + | 1.00978e7i | 0.148679 | + | 0.148679i | ||||
\(409\) | 3.85040e6 | − | 1.43699e7i | 0.0562776 | − | 0.210031i | −0.932061 | − | 0.362300i | \(-0.881991\pi\) |
0.988339 | + | 0.152269i | \(0.0486581\pi\) | |||||||
\(410\) | 1.64661e7 | + | 4.41207e6i | 0.238912 | + | 0.0640163i | ||||
\(411\) | −1.16601e7 | + | 1.16601e7i | −0.167949 | + | 0.167949i | ||||
\(412\) | 4.53624e6 | + | 7.85700e6i | 0.0648642 | + | 0.112348i | ||||
\(413\) | 8.56164e7 | + | 4.94307e7i | 1.21537 | + | 0.701691i | ||||
\(414\) | 1.40915e7 | + | 5.25902e7i | 0.198590 | + | 0.741147i | ||||
\(415\) | 2.55138e7i | 0.356970i | ||||||||
\(416\) | −1.27313e7 | + | 5.41382e7i | −0.176846 | + | 0.752010i | ||||
\(417\) | −2.87593e7 | −0.396616 | ||||||||
\(418\) | 1.55244e7 | − | 4.15976e6i | 0.212563 | − | 0.0569560i | ||||
\(419\) | 3.40038e7 | − | 5.88963e7i | 0.462259 | − | 0.800655i | −0.536815 | − | 0.843700i | \(-0.680373\pi\) |
0.999073 | + | 0.0430449i | \(0.0137058\pi\) | |||||||
\(420\) | 3.06194e7 | − | 1.76781e7i | 0.413284 | − | 0.238610i | ||||
\(421\) | −6.87030e7 | − | 6.87030e7i | −0.920724 | − | 0.920724i | 0.0763570 | − | 0.997081i | \(-0.475671\pi\) |
−0.997081 | + | 0.0763570i | \(0.975671\pi\) | |||||||
\(422\) | −1.70428e7 | + | 6.36046e7i | −0.226780 | + | 0.846353i | ||||
\(423\) | 2.83820e7 | + | 7.60493e6i | 0.374992 | + | 0.100479i | ||||
\(424\) | 8.57655e7 | − | 8.57655e7i | 1.12516 | − | 1.12516i | ||||
\(425\) | −4.02981e6 | − | 6.97984e6i | −0.0524950 | − | 0.0909240i | ||||
\(426\) | −1.14613e8 | − | 6.61721e7i | −1.48254 | − | 0.855945i | ||||
\(427\) | 6.34960e7 | + | 2.36970e8i | 0.815572 | + | 3.04376i | ||||
\(428\) | − | 2.37289e7i | − | 0.302654i | ||||||
\(429\) | −1.21527e8 | − | 2.85787e7i | −1.53922 | − | 0.361968i | ||||
\(430\) | −8.30223e6 | −0.104421 | ||||||||
\(431\) | 9.70536e7 | − | 2.60054e7i | 1.21222 | − | 0.324812i | 0.404584 | − | 0.914501i | \(-0.367416\pi\) |
0.807631 | + | 0.589689i | \(0.200750\pi\) | |||||||
\(432\) | 8.01253e6 | − | 1.38781e7i | 0.0993845 | − | 0.172139i | ||||
\(433\) | −4.15723e7 | + | 2.40018e7i | −0.512083 | + | 0.295651i | −0.733689 | − | 0.679485i | \(-0.762203\pi\) |
0.221607 | + | 0.975136i | \(0.428870\pi\) | |||||||
\(434\) | 3.98843e7 | + | 3.98843e7i | 0.487902 | + | 0.487902i | ||||
\(435\) | 1.70121e7 | − | 6.34900e7i | 0.206676 | − | 0.771325i | ||||
\(436\) | −2.89226e7 | − | 7.74979e6i | −0.348962 | − | 0.0935040i | ||||
\(437\) | −1.25030e7 | + | 1.25030e7i | −0.149820 | + | 0.149820i | ||||
\(438\) | −2.14694e7 | − | 3.71860e7i | −0.255503 | − | 0.442545i | ||||
\(439\) | −9.78649e7 | − | 5.65023e7i | −1.15673 | − | 0.667840i | −0.206215 | − | 0.978507i | \(-0.566114\pi\) |
−0.950519 | + | 0.310666i | \(0.899448\pi\) | |||||||
\(440\) | 1.04133e7 | + | 3.88630e7i | 0.122245 | + | 0.456225i | ||||
\(441\) | − | 2.44376e8i | − | 2.84933i | ||||||
\(442\) | −5.75211e6 | + | 6.11821e6i | −0.0666132 | + | 0.0708529i | ||||
\(443\) | 1.35440e8 | 1.55788 | 0.778941 | − | 0.627097i | \(-0.215757\pi\) | ||||
0.778941 | + | 0.627097i | \(0.215757\pi\) | |||||||
\(444\) | 6.20958e7 | − | 1.66385e7i | 0.709436 | − | 0.190093i | ||||
\(445\) | −5.72201e6 | + | 9.91081e6i | −0.0649334 | + | 0.112468i | ||||
\(446\) | 4.58506e6 | − | 2.64719e6i | 0.0516822 | − | 0.0298387i | ||||
\(447\) | 6.72989e7 | + | 6.72989e7i | 0.753503 | + | 0.753503i | ||||
\(448\) | 4.11080e7 | − | 1.53417e8i | 0.457185 | − | 1.70624i | ||||
\(449\) | −1.84343e7 | − | 4.93946e6i | −0.203652 | − | 0.0545683i | 0.155551 | − | 0.987828i | \(-0.450285\pi\) |
−0.359203 | + | 0.933260i | \(0.616951\pi\) | |||||||
\(450\) | −5.34217e7 | + | 5.34217e7i | −0.586246 | + | 0.586246i | ||||
\(451\) | −3.67029e7 | − | 6.35713e7i | −0.400102 | − | 0.692997i | ||||
\(452\) | 1.44549e7 | + | 8.34553e6i | 0.156531 | + | 0.0903730i | ||||
\(453\) | 5.66243e6 | + | 2.11325e7i | 0.0609128 | + | 0.227330i | ||||
\(454\) | 1.23960e8i | 1.32469i | ||||||||
\(455\) | 3.70708e7 | + | 5.98670e7i | 0.393548 | + | 0.635556i | ||||
\(456\) | 4.34740e7 | 0.458496 | ||||||||
\(457\) | −1.59389e8 | + | 4.27082e7i | −1.66998 | + | 0.447469i | −0.965105 | − | 0.261864i | \(-0.915663\pi\) |
−0.704873 | + | 0.709334i | \(0.748996\pi\) | |||||||
\(458\) | 2.65987e7 | − | 4.60703e7i | 0.276862 | − | 0.479539i | ||||
\(459\) | −5.23743e6 | + | 3.02383e6i | −0.0541602 | + | 0.0312694i | ||||
\(460\) | −9.24154e6 | − | 9.24154e6i | −0.0949447 | − | 0.0949447i | ||||
\(461\) | −2.58912e7 | + | 9.66273e7i | −0.264271 | + | 0.986273i | 0.698424 | + | 0.715684i | \(0.253885\pi\) |
−0.962695 | + | 0.270589i | \(0.912782\pi\) | |||||||
\(462\) | 2.03944e8 | + | 5.46467e7i | 2.06817 | + | 0.554164i | ||||
\(463\) | 1.37158e8 | − | 1.37158e8i | 1.38190 | − | 1.38190i | 0.540667 | − | 0.841236i | \(-0.318172\pi\) |
0.841236 | − | 0.540667i | \(-0.181828\pi\) | |||||||
\(464\) | −2.52245e7 | − | 4.36901e7i | −0.252504 | − | 0.437350i | ||||
\(465\) | −2.84489e7 | − | 1.64250e7i | −0.282948 | − | 0.163360i | ||||
\(466\) | −2.14617e7 | − | 8.00960e7i | −0.212083 | − | 0.791504i | ||||
\(467\) | − | 3.37853e7i | − | 0.331725i | −0.986149 | − | 0.165862i | \(-0.946959\pi\) | ||
0.986149 | − | 0.165862i | \(-0.0530407\pi\) | |||||||
\(468\) | −5.00085e7 | − | 2.68519e7i | −0.487872 | − | 0.261962i | ||||
\(469\) | −9.40642e6 | −0.0911813 | ||||||||
\(470\) | 9.44840e6 | − | 2.53169e6i | 0.0910049 | − | 0.0243847i | ||||
\(471\) | −1.22301e8 | + | 2.11831e8i | −1.17049 | + | 2.02734i | ||||
\(472\) | −7.78128e7 | + | 4.49252e7i | −0.739988 | + | 0.427233i | ||||
\(473\) | 2.52793e7 | + | 2.52793e7i | 0.238881 | + | 0.238881i | ||||
\(474\) | 2.11926e7 | − | 7.90917e7i | 0.198998 | − | 0.742670i | ||||
\(475\) | −2.36998e7 | − | 6.35034e6i | −0.221138 | − | 0.0592538i | ||||
\(476\) | −7.24152e6 | + | 7.24152e6i | −0.0671442 | + | 0.0671442i | ||||
\(477\) | 1.05516e8 | + | 1.82759e8i | 0.972214 | + | 1.68392i | ||||
\(478\) | −6.53815e6 | − | 3.77480e6i | −0.0598648 | − | 0.0345629i | ||||
\(479\) | −1.19218e7 | − | 4.44927e7i | −0.108476 | − | 0.404839i | 0.890240 | − | 0.455492i | \(-0.150537\pi\) |
−0.998716 | + | 0.0506525i | \(0.983870\pi\) | |||||||
\(480\) | 5.47794e7i | 0.495329i | ||||||||
\(481\) | 3.69338e7 | + | 1.22589e8i | 0.331886 | + | 1.10158i | ||||
\(482\) | 2.31321e7 | 0.206573 | ||||||||
\(483\) | −2.24372e8 | + | 6.01204e7i | −1.99126 | + | 0.533556i | ||||
\(484\) | 1.82609e6 | − | 3.16288e6i | 0.0161059 | − | 0.0278963i | ||||
\(485\) | −4.95547e7 | + | 2.86104e7i | −0.434370 | + | 0.250783i | ||||
\(486\) | −8.45182e7 | − | 8.45182e7i | −0.736277 | − | 0.736277i | ||||
\(487\) | −4.13444e7 | + | 1.54299e8i | −0.357956 | + | 1.33591i | 0.518767 | + | 0.854915i | \(0.326391\pi\) |
−0.876723 | + | 0.480995i | \(0.840276\pi\) | |||||||
\(488\) | −2.15371e8 | − | 5.77085e7i | −1.85323 | − | 0.496570i | ||||
\(489\) | 1.64100e7 | − | 1.64100e7i | 0.140340 | − | 0.140340i | ||||
\(490\) | −4.06765e7 | − | 7.04538e7i | −0.345744 | − | 0.598847i | ||||
\(491\) | 1.04150e8 | + | 6.01311e7i | 0.879863 | + | 0.507989i | 0.870613 | − | 0.491968i | \(-0.163722\pi\) |
0.00924998 | + | 0.999957i | \(0.497056\pi\) | |||||||
\(492\) | −1.51738e7 | − | 5.66293e7i | −0.127408 | − | 0.475495i | ||||
\(493\) | 1.90388e7i | 0.158891i | ||||||||
\(494\) | 788086. | + | 2.55525e7i | 0.00653721 | + | 0.211959i | ||||
\(495\) | −7.00024e7 | −0.577161 | ||||||||
\(496\) | −2.43539e7 | + | 6.52562e6i | −0.199583 | + | 0.0534782i | ||||
\(497\) | 1.60719e8 | − | 2.78373e8i | 1.30917 | − | 2.26755i | ||||
\(498\) | −1.05384e8 | + | 6.08436e7i | −0.853272 | + | 0.492637i | ||||
\(499\) | −6.47841e7 | − | 6.47841e7i | −0.521395 | − | 0.521395i | 0.396597 | − | 0.917993i | \(-0.370191\pi\) |
−0.917993 | + | 0.396597i | \(0.870191\pi\) | |||||||
\(500\) | 1.03976e7 | − | 3.88046e7i | 0.0831812 | − | 0.310436i | ||||
\(501\) | 1.65310e8 | + | 4.42947e7i | 1.31458 | + | 0.352240i | ||||
\(502\) | 1.20384e7 | − | 1.20384e7i | 0.0951603 | − | 0.0951603i | ||||
\(503\) | 8.90246e7 | + | 1.54195e8i | 0.699530 | + | 1.21162i | 0.968630 | + | 0.248509i | \(0.0799405\pi\) |
−0.269100 | + | 0.963112i | \(0.586726\pi\) | |||||||
\(504\) | 2.81568e8 | + | 1.62564e8i | 2.19934 | + | 1.26979i | ||||
\(505\) | −2.08896e7 | − | 7.79612e7i | −0.162202 | − | 0.605347i | ||||
\(506\) | − | 7.80480e7i | − | 0.602435i | ||||||
\(507\) | 8.85017e7 | − | 1.77764e8i | 0.679090 | − | 1.36402i | ||||
\(508\) | −4.46482e7 | −0.340575 | ||||||||
\(509\) | 1.21969e8 | − | 3.26816e7i | 0.924905 | − | 0.247827i | 0.235224 | − | 0.971941i | \(-0.424418\pi\) |
0.689681 | + | 0.724114i | \(0.257751\pi\) | |||||||
\(510\) | −4.13570e6 | + | 7.16324e6i | −0.0311773 | + | 0.0540007i | ||||
\(511\) | 9.03174e7 | − | 5.21447e7i | 0.676875 | − | 0.390794i | ||||
\(512\) | 7.13548e7 | + | 7.13548e7i | 0.531635 | + | 0.531635i | ||||
\(513\) | −4.76507e6 | + | 1.77835e7i | −0.0352954 | + | 0.131724i | ||||
\(514\) | 5.81850e7 | + | 1.55906e7i | 0.428472 | + | 0.114809i | ||||
\(515\) | −1.25845e7 | + | 1.25845e7i | −0.0921331 | + | 0.0921331i | ||||
\(516\) | 1.42763e7 | + | 2.47273e7i | 0.103912 | + | 0.179982i | ||||
\(517\) | −3.64779e7 | − | 2.10605e7i | −0.263972 | − | 0.152404i | ||||
\(518\) | −5.60433e7 | − | 2.09156e8i | −0.403213 | − | 1.50481i | ||||
\(519\) | 1.31108e8i | 0.937839i | ||||||||
\(520\) | −6.39667e7 | + | 1.97285e6i | −0.454929 | + | 0.0140309i | ||||
\(521\) | −1.31649e8 | −0.930905 | −0.465453 | − | 0.885073i | \(-0.654108\pi\) | ||||
−0.465453 | + | 0.885073i | \(0.654108\pi\) | |||||||
\(522\) | 1.72386e8 | − | 4.61907e7i | 1.21197 | − | 0.324745i | ||||
\(523\) | 7.27598e6 | − | 1.26024e7i | 0.0508612 | − | 0.0880941i | −0.839474 | − | 0.543400i | \(-0.817137\pi\) |
0.890335 | + | 0.455306i | \(0.150470\pi\) | |||||||
\(524\) | 3.49640e7 | − | 2.01865e7i | 0.243012 | − | 0.140303i | ||||
\(525\) | −2.27919e8 | − | 2.27919e8i | −1.57508 | − | 1.57508i | ||||
\(526\) | 2.46621e7 | − | 9.20401e7i | 0.169462 | − | 0.632441i | ||||
\(527\) | 9.19087e6 | + | 2.46269e6i | 0.0627950 | + | 0.0168259i | ||||
\(528\) | −6.67361e7 | + | 6.67361e7i | −0.453377 | + | 0.453377i | ||||
\(529\) | −3.10852e7 | − | 5.38411e7i | −0.209984 | − | 0.363703i | ||||
\(530\) | 6.08406e7 | + | 3.51263e7i | 0.408663 | + | 0.235942i | ||||
\(531\) | −4.04610e7 | − | 1.51002e8i | −0.270242 | − | 1.00856i | ||||
\(532\) | 3.11767e7i | 0.207060i | ||||||||
\(533\) | 1.11797e8 | − | 3.36824e7i | 0.738329 | − | 0.222444i | ||||
\(534\) | −5.45817e7 | −0.358446 | ||||||||
\(535\) | 4.49622e7 | − | 1.20476e7i | 0.293620 | − | 0.0786753i | ||||
\(536\) | 4.27453e6 | − | 7.40370e6i | 0.0277584 | − | 0.0480789i | ||||
\(537\) | −2.73587e8 | + | 1.57956e8i | −1.76674 | + | 1.02003i | ||||
\(538\) | 7.14705e7 | + | 7.14705e7i | 0.458966 | + | 0.458966i | ||||
\(539\) | −9.06681e7 | + | 3.38378e8i | −0.579013 | + | 2.16091i | ||||
\(540\) | −1.31446e7 | − | 3.52208e6i | −0.0834768 | − | 0.0223675i | ||||
\(541\) | −1.29901e8 | + | 1.29901e8i | −0.820392 | + | 0.820392i | −0.986164 | − | 0.165772i | \(-0.946988\pi\) |
0.165772 | + | 0.986164i | \(0.446988\pi\) | |||||||
\(542\) | 5.06092e7 | + | 8.76577e7i | 0.317857 | + | 0.550544i | ||||
\(543\) | −1.14758e8 | − | 6.62557e7i | −0.716778 | − | 0.413832i | ||||
\(544\) | −4.10669e6 | − | 1.53264e7i | −0.0255091 | − | 0.0952013i | ||||
\(545\) | − | 5.87381e7i | − | 0.362852i | ||||||
\(546\) | −1.58875e8 | + | 2.95886e8i | −0.976065 | + | 1.81780i | ||||
\(547\) | 1.40207e8 | 0.856656 | 0.428328 | − | 0.903623i | \(-0.359103\pi\) | ||||
0.428328 | + | 0.903623i | \(0.359103\pi\) | |||||||
\(548\) | 1.03814e7 | − | 2.78170e6i | 0.0630835 | − | 0.0169032i | ||||
\(549\) | 1.93970e8 | − | 3.35965e8i | 1.17224 | − | 2.03038i | ||||
\(550\) | 9.37914e7 | − | 5.41505e7i | 0.563735 | − | 0.325473i | ||||
\(551\) | 4.09837e7 | + | 4.09837e7i | 0.244995 | + | 0.244995i | ||||
\(552\) | 5.46406e7 | − | 2.03922e8i | 0.324862 | − | 1.21240i | ||||
\(553\) | 1.92098e8 | + | 5.14725e7i | 1.13592 | + | 0.304368i | ||||
\(554\) | −1.44729e8 | + | 1.44729e8i | −0.851191 | + | 0.851191i | ||||
\(555\) | 6.30543e7 | + | 1.09213e8i | 0.368838 | + | 0.638846i | ||||
\(556\) | 1.62332e7 | + | 9.37223e6i | 0.0944450 | + | 0.0545279i | ||||
\(557\) | −3.91711e7 | − | 1.46189e8i | −0.226673 | − | 0.845956i | −0.981727 | − | 0.190293i | \(-0.939056\pi\) |
0.755054 | − | 0.655662i | \(-0.227611\pi\) | |||||||
\(558\) | − | 8.91930e7i | − | 0.513367i | ||||||
\(559\) | −4.83469e7 | + | 2.99373e7i | −0.276779 | + | 0.171387i | ||||
\(560\) | 5.32332e7 | 0.303123 | ||||||||
\(561\) | 3.44039e7 | − | 9.21849e6i | 0.194858 | − | 0.0522121i | ||||
\(562\) | 1.81219e7 | − | 3.13880e7i | 0.102092 | − | 0.176829i | ||||
\(563\) | −1.30583e8 | + | 7.53920e7i | −0.731746 | + | 0.422474i | −0.819061 | − | 0.573707i | \(-0.805505\pi\) |
0.0873144 | + | 0.996181i | \(0.472172\pi\) | |||||||
\(564\) | −2.37876e7 | − | 2.37876e7i | −0.132591 | − | 0.132591i | ||||
\(565\) | −8.47435e6 | + | 3.16267e7i | −0.0469852 | + | 0.175351i | ||||
\(566\) | −1.57749e8 | − | 4.22687e7i | −0.869996 | − | 0.233115i | ||||
\(567\) | 1.31615e8 | − | 1.31615e8i | 0.722032 | − | 0.722032i | ||||
\(568\) | 1.46070e8 | + | 2.53000e8i | 0.797104 | + | 1.38063i | ||||
\(569\) | −384148. | − | 221788.i | −0.00208527 | − | 0.00120393i | 0.498957 | − | 0.866627i | \(-0.333717\pi\) |
−0.501042 | + | 0.865423i | \(0.667050\pi\) | |||||||
\(570\) | 6.51720e6 | + | 2.43225e7i | 0.0351914 | + | 0.131336i | ||||
\(571\) | 7.75206e7i | 0.416398i | 0.978086 | + | 0.208199i | \(0.0667602\pi\) | ||||
−0.978086 | + | 0.208199i | \(0.933240\pi\) | |||||||
\(572\) | 5.92823e7 | + | 5.57350e7i | 0.316765 | + | 0.297810i | ||||
\(573\) | 7.41558e7 | 0.394168 | ||||||||
\(574\) | −1.90744e8 | + | 5.11096e7i | −1.00859 | + | 0.270251i | ||||
\(575\) | −5.95745e7 | + | 1.03186e8i | −0.313369 | + | 0.542772i | ||||
\(576\) | −2.17508e8 | + | 1.25578e8i | −1.13817 | + | 0.657122i | ||||
\(577\) | 1.09012e8 | + | 1.09012e8i | 0.567477 | + | 0.567477i | 0.931421 | − | 0.363944i | \(-0.118570\pi\) |
−0.363944 | + | 0.931421i | \(0.618570\pi\) | |||||||
\(578\) | −3.74759e7 | + | 1.39862e8i | −0.194075 | + | 0.724296i | ||||
\(579\) | 1.22159e8 | + | 3.27325e7i | 0.629348 | + | 0.168633i | ||||
\(580\) | −3.02929e7 | + | 3.02929e7i | −0.155259 | + | 0.155259i | ||||
\(581\) | −1.47777e8 | − | 2.55957e8i | −0.753491 | − | 1.30508i | ||||
\(582\) | −2.36349e8 | − | 1.36456e8i | −1.19890 | − | 0.692188i | ||||
\(583\) | −7.82967e7 | − | 2.92207e8i | −0.395128 | − | 1.47464i | ||||
\(584\) | 9.47839e7i | 0.475878i | ||||||||
\(585\) | 2.54896e7 | − | 1.08391e8i | 0.127320 | − | 0.541408i | ||||
\(586\) | 2.76388e8 | 1.37349 | ||||||||
\(587\) | −2.70549e8 | + | 7.24933e7i | −1.33762 | + | 0.358413i | −0.855549 | − | 0.517722i | \(-0.826780\pi\) |
−0.482066 | + | 0.876135i | \(0.660114\pi\) | |||||||
\(588\) | −1.39893e8 | + | 2.42301e8i | −0.688118 | + | 1.19186i | ||||
\(589\) | 2.50859e7 | − | 1.44834e7i | 0.122768 | − | 0.0708799i | ||||
\(590\) | −3.67994e7 | − | 3.67994e7i | −0.179178 | − | 0.179178i | ||||
\(591\) | 1.05166e8 | − | 3.92484e8i | 0.509462 | − | 1.90134i | ||||
\(592\) | 9.34931e7 | + | 2.50514e7i | 0.450624 | + | 0.120744i | ||||
\(593\) | 2.24720e8 | − | 2.24720e8i | 1.07765 | − | 1.07765i | 0.0809317 | − | 0.996720i | \(-0.474210\pi\) |
0.996720 | − | 0.0809317i | \(-0.0257896\pi\) | |||||||
\(594\) | −4.06327e7 | − | 7.03779e7i | −0.193872 | − | 0.335797i | ||||
\(595\) | −1.73981e7 | − | 1.00448e7i | −0.0825943 | − | 0.0476859i | ||||
\(596\) | −1.60551e7 | − | 5.99185e7i | −0.0758359 | − | 0.283023i | ||||
\(597\) | 2.29653e8i | 1.07932i | ||||||||
\(598\) | 1.20848e8 | + | 2.84192e7i | 0.565116 | + | 0.132895i | ||||
\(599\) | −1.89014e8 | −0.879457 | −0.439728 | − | 0.898131i | \(-0.644925\pi\) | ||||
−0.439728 | + | 0.898131i | \(0.644925\pi\) | |||||||
\(600\) | 2.82966e8 | − | 7.58205e7i | 1.31003 | − | 0.351021i | ||||
\(601\) | −1.60503e8 | + | 2.78000e8i | −0.739368 | + | 1.28062i | 0.213413 | + | 0.976962i | \(0.431542\pi\) |
−0.952780 | + | 0.303660i | \(0.901791\pi\) | |||||||
\(602\) | 8.32887e7 | − | 4.80868e7i | 0.381765 | − | 0.220412i | ||||
\(603\) | 1.05178e7 | + | 1.05178e7i | 0.0479701 | + | 0.0479701i | ||||
\(604\) | 3.69061e6 | − | 1.37735e7i | 0.0167489 | − | 0.0625078i | ||||
\(605\) | 6.92024e6 | + | 1.85427e6i | 0.0312504 | + | 0.00837351i | ||||
\(606\) | 2.72200e8 | − | 2.72200e8i | 1.22312 | − | 1.22312i | ||||
\(607\) | −6.47784e7 | − | 1.12199e8i | −0.289644 | − | 0.501677i | 0.684081 | − | 0.729406i | \(-0.260203\pi\) |
−0.973725 | + | 0.227729i | \(0.926870\pi\) | |||||||
\(608\) | −4.18324e7 | − | 2.41519e7i | −0.186124 | − | 0.107459i | ||||
\(609\) | 1.97069e8 | + | 7.35472e8i | 0.872502 | + | 3.25622i | ||||
\(610\) | − | 1.29145e8i | − | 0.568970i | ||||||
\(611\) | 4.58923e7 | − | 4.88132e7i | 0.201195 | − | 0.214000i | ||||
\(612\) | 1.61942e7 | 0.0706487 | ||||||||
\(613\) | 1.68194e8 | − | 4.50675e7i | 0.730180 | − | 0.195651i | 0.125470 | − | 0.992097i | \(-0.459956\pi\) |
0.604709 | + | 0.796446i | \(0.293289\pi\) | |||||||
\(614\) | 4.09704e7 | − | 7.09628e7i | 0.176997 | − | 0.306567i | ||||
\(615\) | 9.95988e7 | − | 5.75034e7i | 0.428182 | − | 0.247211i | ||||
\(616\) | −3.29563e8 | − | 3.29563e8i | −1.40993 | − | 1.40993i | ||||
\(617\) | 8.12698e6 | − | 3.03303e7i | 0.0345998 | − | 0.129128i | −0.946466 | − | 0.322804i | \(-0.895374\pi\) |
0.981066 | + | 0.193676i | \(0.0620411\pi\) | |||||||
\(618\) | −8.19908e7 | − | 2.19694e7i | −0.347376 | − | 0.0930791i | ||||
\(619\) | 1.32206e8 | − | 1.32206e8i | 0.557414 | − | 0.557414i | −0.371156 | − | 0.928570i | \(-0.621039\pi\) |
0.928570 | + | 0.371156i | \(0.121039\pi\) | |||||||
\(620\) | 1.07053e7 | + | 1.85421e7i | 0.0449184 | + | 0.0778009i | ||||
\(621\) | 7.74272e7 | + | 4.47026e7i | 0.323310 | + | 0.186663i | ||||
\(622\) | 5.71897e7 | + | 2.13435e8i | 0.237655 | + | 0.886939i | ||||
\(623\) | − | 1.32568e8i | − | 0.548245i | ||||||
\(624\) | −7.90330e7 | − | 1.27634e8i | −0.325278 | − | 0.525305i | ||||
\(625\) | −1.22103e8 | −0.500132 | ||||||||
\(626\) | 1.51847e8 | − | 4.06873e7i | 0.618989 | − | 0.165858i | ||||
\(627\) | 5.42150e7 | − | 9.39032e7i | 0.219947 | − | 0.380959i | ||||
\(628\) | 1.38065e8 | − | 7.97121e7i | 0.557450 | − | 0.321844i | ||||
\(629\) | −2.58290e7 | − | 2.58290e7i | −0.103790 | − | 0.103790i | ||||
\(630\) | −4.87399e7 | + | 1.81900e8i | −0.194923 | + | 0.727462i | ||||
\(631\) | −4.57632e7 | − | 1.22622e7i | −0.182150 | − | 0.0488068i | 0.166591 | − | 0.986026i | \(-0.446724\pi\) |
−0.348741 | + | 0.937219i | \(0.613391\pi\) | |||||||
\(632\) | −1.27808e8 | + | 1.27808e8i | −0.506298 | + | 0.506298i | ||||
\(633\) | 2.22123e8 | + | 3.84728e8i | 0.875753 | + | 1.51685i | ||||
\(634\) | −1.38862e8 | − | 8.01719e7i | −0.544898 | − | 0.314597i | ||||
\(635\) | −2.26687e7 | − | 8.46007e7i | −0.0885330 | − | 0.330410i | ||||
\(636\) | − | 2.41610e8i | − | 0.939167i | ||||||
\(637\) | −4.90925e8 | − | 2.63601e8i | −1.89932 | − | 1.01983i | ||||
\(638\) | −2.55834e8 | −0.985136 | ||||||||
\(639\) | −4.90969e8 | + | 1.31555e8i | −1.88170 | + | 0.504201i | ||||
\(640\) | 803771. | − | 1.39217e6i | 0.00306614 | − | 0.00531072i | ||||
\(641\) | −1.55805e8 | + | 8.99538e7i | −0.591570 | + | 0.341543i | −0.765718 | − | 0.643176i | \(-0.777616\pi\) |
0.174148 | + | 0.984719i | \(0.444283\pi\) | |||||||
\(642\) | 1.56985e8 | + | 1.56985e8i | 0.593270 | + | 0.593270i | ||||
\(643\) | −551397. | + | 2.05784e6i | −0.00207411 | + | 0.00774068i | −0.966955 | − | 0.254947i | \(-0.917942\pi\) |
0.964881 | + | 0.262687i | \(0.0846088\pi\) | |||||||
\(644\) | 1.46239e8 | + | 3.91847e7i | 0.547528 | + | 0.146710i | ||||
\(645\) | −3.96057e7 | + | 3.96057e7i | −0.147597 | + | 0.147597i | ||||
\(646\) | −3.64681e6 | − | 6.31647e6i | −0.0135275 | − | 0.0234302i | ||||
\(647\) | 2.57470e8 | + | 1.48650e8i | 0.950634 | + | 0.548849i | 0.893278 | − | 0.449505i | \(-0.148400\pi\) |
0.0573560 | + | 0.998354i | \(0.481733\pi\) | |||||||
\(648\) | 4.37835e7 | + | 1.63402e8i | 0.160911 | + | 0.600528i | ||||
\(649\) | 2.24099e8i | 0.819797i | ||||||||
\(650\) | 4.96941e7 | + | 1.64943e8i | 0.180953 | + | 0.600611i | ||||
\(651\) | 3.80535e8 | 1.37928 | ||||||||
\(652\) | −1.46104e7 | + | 3.91485e6i | −0.0527132 | + | 0.0141245i | ||||
\(653\) | −8.83620e7 | + | 1.53047e8i | −0.317341 | + | 0.549651i | −0.979932 | − | 0.199330i | \(-0.936123\pi\) |
0.662591 | + | 0.748981i | \(0.269457\pi\) | |||||||
\(654\) | 2.42616e8 | − | 1.40074e8i | 0.867333 | − | 0.500755i | ||||
\(655\) | 5.60018e7 | + | 5.60018e7i | 0.199287 | + | 0.199287i | ||||
\(656\) | 2.28460e7 | − | 8.52625e7i | 0.0809281 | − | 0.302028i | ||||
\(657\) | −1.59293e8 | − | 4.26826e7i | −0.561697 | − | 0.150506i | ||||
\(658\) | −8.01235e7 | + | 8.01235e7i | −0.281243 | + | 0.281243i | ||||
\(659\) | −1.57139e8 | − | 2.72172e8i | −0.549069 | − | 0.951015i | −0.998339 | − | 0.0576191i | \(-0.981649\pi\) |
0.449270 | − | 0.893396i | \(-0.351684\pi\) | |||||||
\(660\) | 6.94081e7 | + | 4.00728e7i | 0.241423 | + | 0.139386i | ||||
\(661\) | 1.31352e8 | + | 4.90212e8i | 0.454812 | + | 1.69738i | 0.688640 | + | 0.725103i | \(0.258208\pi\) |
−0.233829 | + | 0.972278i | \(0.575125\pi\) | |||||||
\(662\) | − | 1.21377e8i | − | 0.418371i | ||||||
\(663\) | 1.74649e6 | + | 5.66272e7i | 0.00599273 | + | 0.194305i | ||||
\(664\) | 2.68615e8 | 0.917542 | ||||||||
\(665\) | −5.90746e7 | + | 1.58290e7i | −0.200879 | + | 0.0538255i | ||||
\(666\) | −1.71203e8 | + | 2.96532e8i | −0.579547 | + | 1.00380i | ||||
\(667\) | 2.43751e8 | − | 1.40730e8i | 0.821427 | − | 0.474251i | ||||
\(668\) | −7.88743e7 | − | 7.88743e7i | −0.264610 | − | 0.264610i | ||||
\(669\) | 9.24461e6 | − | 3.45013e7i | 0.0308752 | − | 0.115228i | ||||
\(670\) | 4.78296e6 | + | 1.28159e6i | 0.0159028 | + | 0.00426113i | ||||
\(671\) | −3.93232e8 | + | 3.93232e8i | −1.30161 | + | 1.30161i | ||||
\(672\) | −3.17284e8 | − | 5.49551e8i | −1.04554 | − | 1.81093i | ||||
\(673\) | −3.50156e8 | − | 2.02162e8i | −1.14872 | − | 0.663216i | −0.200148 | − | 0.979766i | \(-0.564142\pi\) |
−0.948576 | + | 0.316549i | \(0.897476\pi\) | |||||||
\(674\) | −2.75432e7 | − | 1.02792e8i | −0.0899568 | − | 0.335723i | ||||
\(675\) | 1.24061e8i | 0.403388i | ||||||||
\(676\) | −1.07885e8 | + | 7.14974e7i | −0.349239 | + | 0.231446i | ||||
\(677\) | −5.26969e8 | −1.69832 | −0.849160 | − | 0.528136i | \(-0.822891\pi\) | ||||
−0.849160 | + | 0.528136i | \(0.822891\pi\) | |||||||
\(678\) | −1.50842e8 | + | 4.04180e7i | −0.483987 | + | 0.129684i | ||||
\(679\) | 3.31425e8 | − | 5.74044e8i | 1.05871 | − | 1.83373i | ||||
\(680\) | 1.58123e7 | − | 9.12924e6i | 0.0502885 | − | 0.0290341i | ||||
\(681\) | 5.91351e8 | + | 5.91351e8i | 1.87242 | + | 1.87242i | ||||
\(682\) | −3.30923e7 | + | 1.23502e8i | −0.104322 | + | 0.389333i | ||||
\(683\) | −1.82383e8 | − | 4.88693e7i | −0.572429 | − | 0.153382i | −0.0390189 | − | 0.999238i | \(-0.512423\pi\) |
−0.533411 | + | 0.845856i | \(0.679090\pi\) | |||||||
\(684\) | 3.48601e7 | − | 3.48601e7i | 0.108933 | − | 0.108933i | ||||
\(685\) | 1.05417e7 | + | 1.82587e7i | 0.0327973 | + | 0.0568065i | ||||
\(686\) | 4.37561e8 | + | 2.52626e8i | 1.35540 | + | 0.782538i | ||||
\(687\) | −9.28889e7 | − | 3.46666e8i | −0.286480 | − | 1.06916i | ||||
\(688\) | 4.29896e7i | 0.132007i | ||||||||
\(689\) | 4.80960e8 | − | 1.48337e7i | 1.47045 | − | 0.0453514i | ||||
\(690\) | 1.22280e8 | 0.372226 | ||||||||
\(691\) | 3.63265e8 | − | 9.73365e7i | 1.10101 | − | 0.295013i | 0.337831 | − | 0.941207i | \(-0.390307\pi\) |
0.763174 | + | 0.646193i | \(0.223640\pi\) | |||||||
\(692\) | 4.27263e7 | − | 7.40041e7i | 0.128937 | − | 0.223325i | ||||
\(693\) | 7.02270e8 | − | 4.05456e8i | 2.11011 | − | 1.21827i | ||||
\(694\) | −2.43287e8 | − | 2.43287e8i | −0.727848 | − | 0.727848i | ||||
\(695\) | −9.51689e6 | + | 3.55175e7i | −0.0283492 | + | 0.105801i | ||||
\(696\) | −6.68436e8 | − | 1.79107e8i | −1.98259 | − | 0.531232i | ||||
\(697\) | −2.35552e7 | + | 2.35552e7i | −0.0695647 | + | 0.0695647i | ||||
\(698\) | −1.47272e8 | − | 2.55083e8i | −0.433067 | − | 0.750094i | ||||
\(699\) | −4.84480e8 | − | 2.79714e8i | −1.41855 | − | 0.818999i | ||||
\(700\) | 5.43735e7 | + | 2.02925e8i | 0.158523 | + | 0.591617i | ||||
\(701\) | − | 4.53376e8i | − | 1.31615i | −0.752954 | − | 0.658073i | \(-0.771372\pi\) | ||
0.752954 | − | 0.658073i | \(-0.228628\pi\) | |||||||
\(702\) | 1.23767e8 | − | 3.72888e7i | 0.357763 | − | 0.107787i | ||||
\(703\) | −1.11201e8 | −0.320069 | ||||||||
\(704\) | 3.47766e8 | − | 9.31837e7i | 0.996712 | − | 0.267068i | ||||
\(705\) | 3.29961e7 | − | 5.71509e7i | 0.0941662 | − | 0.163101i | ||||
\(706\) | 4.93688e7 | − | 2.85031e7i | 0.140294 | − | 0.0809987i | ||||
\(707\) | 6.61120e8 | + | 6.61120e8i | 1.87078 | + | 1.87078i | ||||
\(708\) | −4.63237e7 | + | 1.72882e8i | −0.130528 | + | 0.487137i | ||||
\(709\) | 5.22169e7 | + | 1.39915e7i | 0.146512 | + | 0.0392577i | 0.331330 | − | 0.943515i | \(-0.392503\pi\) |
−0.184818 | + | 0.982773i | \(0.559169\pi\) | |||||||
\(710\) | −1.19649e8 | + | 1.19649e8i | −0.334299 | + | 0.334299i | ||||
\(711\) | −1.57240e8 | − | 2.72347e8i | −0.437475 | − | 0.757730i | ||||
\(712\) | 1.04343e8 | + | 6.02425e7i | 0.289084 | + | 0.166903i | ||||
\(713\) | −3.64070e7 | − | 1.35873e8i | −0.100442 | − | 0.374855i | ||||
\(714\) | − | 9.58163e7i | − | 0.263236i | ||||||
\(715\) | −7.55095e7 | + | 1.40627e8i | −0.206578 | + | 0.384726i | ||||
\(716\) | 2.05902e8 | 0.560945 | ||||||||
\(717\) | −4.91978e7 | + | 1.31825e7i | −0.133471 | + | 0.0357636i | ||||
\(718\) | −2.44656e8 | + | 4.23756e8i | −0.660970 | + | 1.14483i | ||||
\(719\) | −2.73888e8 | + | 1.58129e8i | −0.736861 | + | 0.425427i | −0.820927 | − | 0.571033i | \(-0.806543\pi\) |
0.0840657 | + | 0.996460i | \(0.473209\pi\) | |||||||
\(720\) | −5.95226e7 | − | 5.95226e7i | −0.159472 | − | 0.159472i | ||||
\(721\) | 5.33592e7 | − | 1.99139e8i | 0.142365 | − | 0.531314i | ||||
\(722\) | 2.55664e8 | + | 6.85051e7i | 0.679295 | + | 0.182017i | ||||
\(723\) | 1.10351e8 | − | 1.10351e8i | 0.291986 | − | 0.291986i | ||||
\(724\) | 4.31835e7 | + | 7.47961e7i | 0.113790 | + | 0.197089i | ||||
\(725\) | 3.38234e8 | + | 1.95280e8i | 0.887572 | + | 0.512440i | ||||
\(726\) | 8.84388e6 | + | 3.30058e7i | 0.0231118 | + | 0.0862542i | ||||
\(727\) | 2.63153e8i | 0.684866i | 0.939542 | + | 0.342433i | \(0.111251\pi\) | ||||
−0.939542 | + | 0.342433i | \(0.888749\pi\) | |||||||
\(728\) | 6.30293e8 | − | 3.90289e8i | 1.63361 | − | 1.01156i | ||||
\(729\) | −5.83696e8 | −1.50662 | ||||||||
\(730\) | −5.30290e7 | + | 1.42091e7i | −0.136315 | + | 0.0365256i | ||||
\(731\) | 8.11188e6 | − | 1.40502e7i | 0.0207668 | − | 0.0359691i | ||||
\(732\) | −3.84646e8 | + | 2.22075e8i | −0.980682 | + | 0.566197i | ||||
\(733\) | −4.60409e7 | − | 4.60409e7i | −0.116905 | − | 0.116905i | 0.646234 | − | 0.763139i | \(-0.276343\pi\) |
−0.763139 | + | 0.646234i | \(0.776343\pi\) | |||||||
\(734\) | 2.69606e7 | − | 1.00618e8i | 0.0681775 | − | 0.254442i | ||||
\(735\) | −5.30145e8 | − | 1.42052e8i | −1.33516 | − | 0.357755i | ||||
\(736\) | −1.65866e8 | + | 1.65866e8i | −0.416028 | + | 0.416028i | ||||
\(737\) | −1.06612e7 | − | 1.84658e7i | −0.0266321 | − | 0.0461282i | ||||
\(738\) | 2.70427e8 | + | 1.56131e8i | 0.672793 | + | 0.388437i | ||||
\(739\) | −9.27244e6 | − | 3.46052e7i | −0.0229753 | − | 0.0857449i | 0.953486 | − | 0.301436i | \(-0.0974661\pi\) |
−0.976462 | + | 0.215692i | \(0.930799\pi\) | |||||||
\(740\) | − | 8.21938e7i | − | 0.202836i | ||||||
\(741\) | 1.25657e8 | + | 1.18138e8i | 0.308840 | + | 0.290360i | ||||
\(742\) | −8.13810e8 | −1.99210 | ||||||||
\(743\) | −4.50262e8 | + | 1.20647e8i | −1.09774 | + | 0.294138i | −0.761843 | − | 0.647762i | \(-0.775705\pi\) |
−0.335894 | + | 0.941900i | \(0.609039\pi\) | |||||||
\(744\) | −1.72925e8 | + | 2.99516e8i | −0.419894 | + | 0.727278i | ||||
\(745\) | 1.05384e8 | − | 6.08434e7i | 0.254862 | − | 0.147145i | ||||
\(746\) | −3.10360e7 | − | 3.10360e7i | −0.0747566 | − | 0.0747566i | ||||
\(747\) | −1.20961e8 | + | 4.51433e8i | −0.290191 | + | 1.08301i | ||||
\(748\) | −2.24234e7 | − | 6.00834e6i | −0.0535793 | − | 0.0143565i | ||||
\(749\) | −3.81284e8 | + | 3.81284e8i | −0.907410 | + | 0.907410i | ||||
\(750\) | 1.87933e8 | + | 3.25510e8i | 0.445472 | + | 0.771580i | ||||
\(751\) | 1.83433e8 | + | 1.05905e8i | 0.433069 | + | 0.250032i | 0.700653 | − | 0.713502i | \(-0.252892\pi\) |
−0.267584 | + | 0.963534i | \(0.586225\pi\) | |||||||
\(752\) | −1.31093e7 | − | 4.89246e7i | −0.0308266 | − | 0.115047i | ||||
\(753\) | − | 1.14858e8i | − | 0.269014i | ||||||
\(754\) | 9.31554e7 | − | 3.96130e8i | 0.217317 | − | 0.924109i | ||||
\(755\) | 2.79722e7 | 0.0649960 | ||||||||
\(756\) | 1.52268e8 | − | 4.08000e7i | 0.352405 | − | 0.0944267i | ||||
\(757\) | −6.25279e7 | + | 1.08301e8i | −0.144141 | + | 0.249659i | −0.929052 | − | 0.369949i | \(-0.879375\pi\) |
0.784911 | + | 0.619608i | \(0.212708\pi\) | |||||||
\(758\) | 1.67410e8 | − | 9.66540e7i | 0.384391 | − | 0.221928i | ||||
\(759\) | −3.72327e8 | − | 3.72327e8i | −0.851528 | − | 0.851528i | ||||
\(760\) | 1.43862e7 | − | 5.36901e7i | 0.0327722 | − | 0.122308i | ||||
\(761\) | 1.03565e8 | + | 2.77502e7i | 0.234996 | + | 0.0629670i | 0.374395 | − | 0.927269i | \(-0.377850\pi\) |
−0.139399 | + | 0.990236i | \(0.544517\pi\) | |||||||
\(762\) | 2.95382e8 | − | 2.95382e8i | 0.667604 | − | 0.667604i | ||||
\(763\) | 3.40212e8 | + | 5.89265e8i | 0.765908 | + | 1.32659i | ||||
\(764\) | −4.18572e7 | − | 2.41663e7i | −0.0938622 | − | 0.0541913i | ||||
\(765\) | 8.22206e6 | + | 3.06851e7i | 0.0183652 | + | 0.0685399i | ||||
\(766\) | − | 1.27103e8i | − | 0.282793i | ||||||
\(767\) | −3.46992e8 | − | 8.16000e7i | −0.769012 | − | 0.180844i | ||||
\(768\) | 6.93990e8 | 1.53204 | ||||||||
\(769\) | 7.39073e8 | − | 1.98034e8i | 1.62521 | − | 0.435473i | 0.672681 | − | 0.739932i | \(-0.265143\pi\) |
0.952525 | + | 0.304460i | \(0.0984758\pi\) | |||||||
\(770\) | 1.34977e8 | − | 2.33786e8i | 0.295656 | − | 0.512091i | ||||
\(771\) | 3.51946e8 | − | 2.03196e8i | 0.767914 | − | 0.443356i | ||||
\(772\) | −5.82857e7 | − | 5.82857e7i | −0.126681 | − | 0.126681i | ||||
\(773\) | 2.59877e7 | − | 9.69875e7i | 0.0562639 | − | 0.209980i | −0.932071 | − | 0.362275i | \(-0.882000\pi\) |
0.988335 | + | 0.152296i | \(0.0486666\pi\) | |||||||
\(774\) | −1.46897e8 | − | 3.93609e7i | −0.316804 | − | 0.0848873i | ||||
\(775\) | 1.38021e8 | − | 1.38021e8i | 0.296510 | − | 0.296510i | ||||
\(776\) | 3.01216e8 | + | 5.21722e8i | 0.644605 | + | 1.11649i | ||||
\(777\) | −1.26513e9 | − | 7.30424e8i | −2.69695 | − | 1.55708i | ||||
\(778\) | 1.60463e8 | + | 5.98857e8i | 0.340751 | + | 1.27170i | ||||
\(779\) | 1.01412e8i | 0.214524i | ||||||||
\(780\) | −8.73214e7 | + | 9.28791e7i | −0.184008 | + | 0.195719i | ||||
\(781\) | 7.28635e8 | 1.52953 | ||||||||
\(782\) | −3.42119e7 | + | 9.16705e6i | −0.0715413 | + | 0.0191694i | ||||
\(783\) | 1.46531e8 | − | 2.53799e8i | 0.305242 | − | 0.528695i | ||||
\(784\) | −3.64815e8 | + | 2.10626e8i | −0.757050 | + | 0.437083i | ||||
\(785\) | 2.21139e8 | + | 2.21139e8i | 0.457147 | + | 0.457147i | ||||
\(786\) | −9.77647e7 | + | 3.64863e8i | −0.201333 | + | 0.751384i | ||||
\(787\) | 1.55032e8 | + | 4.15408e7i | 0.318052 | + | 0.0852218i | 0.414313 | − | 0.910134i | \(-0.364022\pi\) |
−0.0962614 | + | 0.995356i | \(0.530688\pi\) | |||||||
\(788\) | −1.87265e8 | + | 1.87265e8i | −0.382718 | + | 0.382718i | ||||
\(789\) | −3.21426e8 | − | 5.56726e8i | −0.654410 | − | 1.13347i | ||||
\(790\) | −9.06647e7 | − | 5.23453e7i | −0.183890 | − | 0.106169i | ||||
\(791\) | −9.81673e7 | − | 3.66365e8i | −0.198352 | − | 0.740261i | ||||
\(792\) | 7.36999e8i | 1.48351i | ||||||||
\(793\) | −4.65689e8 | − | 7.52060e8i | −0.933849 | − | 1.50811i | ||||
\(794\) | 5.29747e7 | 0.105830 | ||||||||
\(795\) | 4.57809e8 | − | 1.22669e8i | 0.911135 | − | 0.244138i | ||||
\(796\) | 7.48405e7 | − | 1.29628e8i | 0.148388 | − | 0.257015i | ||||
\(797\) | 3.02592e8 | − | 1.74702e8i | 0.597699 | − | 0.345082i | −0.170437 | − | 0.985369i | \(-0.554518\pi\) |
0.768136 | + | 0.640287i | \(0.221185\pi\) | |||||||
\(798\) | −2.06258e8 | − | 2.06258e8i | −0.405884 | − | 0.405884i | ||||
\(799\) | −4.94729e6 | + | 1.84635e7i | −0.00969900 | + | 0.0361971i | ||||
\(800\) | −3.14403e8 | − | 8.42439e7i | −0.614068 | − | 0.164539i | ||||
\(801\) | −1.48231e8 | + | 1.48231e8i | −0.288430 | + | 0.288430i | ||||
\(802\) | −3.23968e8 | − | 5.61128e8i | −0.628027 | − | 1.08778i | ||||
\(803\) | 2.04732e8 | + | 1.18202e8i | 0.395402 | + | 0.228285i | ||||
\(804\) | −4.40759e6 | − | 1.64493e7i | −0.00848073 | − | 0.0316505i | ||||
\(805\) | 2.96993e8i | 0.569323i | ||||||||
\(806\) | −1.79179e8 | − | 9.62099e7i | −0.342202 | − | 0.183745i | ||||
\(807\) | 6.81898e8 | 1.29747 | ||||||||
\(808\) | −8.20792e8 | + | 2.19930e8i | −1.55596 | + | 0.416919i | ||||
\(809\) | −9.69278e7 | + | 1.67884e8i | −0.183064 | + | 0.317076i | −0.942922 | − | 0.333012i | \(-0.891935\pi\) |
0.759858 | + | 0.650089i | \(0.225268\pi\) | |||||||
\(810\) | −8.48555e7 | + | 4.89914e7i | −0.159671 | + | 0.0921859i | ||||
\(811\) | −5.91708e8 | − | 5.91708e8i | −1.10929 | − | 1.10929i | −0.993244 | − | 0.116045i | \(-0.962978\pi\) |
−0.116045 | − | 0.993244i | \(-0.537022\pi\) | |||||||
\(812\) | 1.28444e8 | − | 4.79359e8i | 0.239908 | − | 0.895349i | ||||
\(813\) | 6.59600e8 | + | 1.76739e8i | 1.22747 | + | 0.328898i | ||||
\(814\) | 3.47077e8 | − | 3.47077e8i | 0.643507 | − | 0.643507i | ||||
\(815\) | −1.48359e7 | − | 2.56966e7i | −0.0274058 | − | 0.0474682i | ||||
\(816\) | 3.70918e7 | + | 2.14150e7i | 0.0682665 | + | 0.0394137i | ||||
\(817\) | −1.27830e7 | − | 4.77069e7i | −0.0234405 | − | 0.0874813i | ||||
\(818\) | − | 9.07192e7i | − | 0.165745i | ||||||
\(819\) | 3.72088e8 | + | 1.23502e9i | 0.677320 | + | 2.24814i | ||||
\(820\) | −7.49580e7 | −0.135949 | ||||||||
\(821\) | 4.08162e8 | − | 1.09367e8i | 0.737569 | − | 0.197631i | 0.129572 | − | 0.991570i | \(-0.458640\pi\) |
0.607997 | + | 0.793939i | \(0.291973\pi\) | |||||||
\(822\) | −5.02780e7 | + | 8.70841e7i | −0.0905238 | + | 0.156792i | ||||
\(823\) | −7.73729e8 | + | 4.46713e8i | −1.38800 | + | 0.801362i | −0.993090 | − | 0.117358i | \(-0.962558\pi\) |
−0.394910 | + | 0.918720i | \(0.629224\pi\) | |||||||
\(824\) | 1.32493e8 | + | 1.32493e8i | 0.236816 | + | 0.236816i | ||||
\(825\) | 1.89107e8 | − | 7.05755e8i | 0.336779 | − | 1.25688i | ||||
\(826\) | 5.82317e8 | + | 1.56031e8i | 1.03328 | + | 0.276868i | ||||
\(827\) | 3.91052e8 | − | 3.91052e8i | 0.691382 | − | 0.691382i | −0.271154 | − | 0.962536i | \(-0.587405\pi\) |
0.962536 | + | 0.271154i | \(0.0874053\pi\) | |||||||
\(828\) | −1.19703e8 | − | 2.07331e8i | −0.210869 | − | 0.365236i | ||||
\(829\) | −8.33349e7 | − | 4.81135e7i | −0.146273 | − | 0.0844506i | 0.425077 | − | 0.905157i | \(-0.360247\pi\) |
−0.571350 | + | 0.820706i | \(0.693580\pi\) | |||||||
\(830\) | 4.02681e7 | + | 1.50283e8i | 0.0704251 | + | 0.262830i | ||||
\(831\) | 1.38086e9i | 2.40628i | ||||||||
\(832\) | 1.76541e7 | + | 5.72407e8i | 0.0306532 | + | 0.993883i | ||||
\(833\) | 1.58975e8 | 0.275039 | ||||||||
\(834\) | −1.69399e8 | + | 4.53904e7i | −0.292021 | + | 0.0782467i | ||||
\(835\) | 1.09407e8 | − | 1.89499e8i | 0.187926 | − | 0.325497i | ||||
\(836\) | −6.12033e7 | + | 3.53358e7i | −0.104751 | + | 0.0604777i | ||||
\(837\) | −1.03566e8 | − | 1.03566e8i | −0.176620 | − | 0.176620i | ||||
\(838\) | 1.07335e8 | − | 4.00581e8i | 0.182394 | − | 0.680704i | ||||
\(839\) | 3.49673e8 | + | 9.36947e7i | 0.592075 | + | 0.158646i | 0.542401 | − | 0.840120i | \(-0.317515\pi\) |
0.0496735 | + | 0.998766i | \(0.484182\pi\) | |||||||
\(840\) | 5.16335e8 | − | 5.16335e8i | 0.871151 | − | 0.871151i | ||||
\(841\) | −1.63887e8 | − | 2.83861e8i | −0.275523 | − | 0.477219i | ||||
\(842\) | −5.13110e8 | − | 2.96244e8i | −0.859557 | − | 0.496265i | ||||
\(843\) | −6.32858e7 | − | 2.36186e8i | −0.105639 | − | 0.394250i | ||||
\(844\) | − | 2.89546e8i | − | 0.481604i | ||||||
\(845\) | −1.90251e8 | − | 1.68124e8i | −0.315323 | − | 0.278650i | ||||
\(846\) | 1.79180e8 | 0.295922 | ||||||||
\(847\) | −8.01645e7 | + | 2.14800e7i | −0.131926 | + | 0.0353496i | ||||
\(848\) | 1.81887e8 | − | 3.15037e8i | 0.298273 | − | 0.516624i | ||||
\(849\) | −9.54182e8 | + | 5.50897e8i | −1.55922 | + | 0.900218i | ||||
\(850\) | −3.47528e7 | − | 3.47528e7i | −0.0565891 | − | 0.0565891i | ||||
\(851\) | −1.39764e8 | + | 5.21606e8i | −0.226781 | + | 0.846358i | ||||
\(852\) | 5.62109e8 | + | 1.50617e8i | 0.908870 | + | 0.243531i | ||||
\(853\) | −7.85405e8 | + | 7.85405e8i | −1.26546 | + | 1.26546i | −0.317044 | + | 0.948411i | \(0.602690\pi\) |
−0.948411 | + | 0.317044i | \(0.897310\pi\) | |||||||
\(854\) | 7.48014e8 | + | 1.29560e9i | 1.20098 | + | 2.08016i | ||||
\(855\) | 8.37531e7 | + | 4.83549e7i | 0.133999 | + | 0.0773645i | ||||
\(856\) | −1.26839e8 | − | 4.73371e8i | −0.202224 | − | 0.754711i | ||||
\(857\) | − | 1.14238e9i | − | 1.81496i | −0.420092 | − | 0.907482i | \(-0.638002\pi\) | ||
0.420092 | − | 0.907482i | \(-0.361998\pi\) | |||||||
\(858\) | −7.60927e8 | + | 2.34684e7i | −1.20471 | + | 0.0371553i | ||||
\(859\) | −5.62443e8 | −0.887359 | −0.443679 | − | 0.896186i | \(-0.646327\pi\) | ||||
−0.443679 | + | 0.896186i | \(0.646327\pi\) | |||||||
\(860\) | 3.52623e7 | − | 9.44851e6i | 0.0554390 | − | 0.0148548i | ||||
\(861\) | −6.66122e8 | + | 1.15376e9i | −1.04363 | + | 1.80761i | ||||
\(862\) | 5.30625e8 | − | 3.06357e8i | 0.828450 | − | 0.478306i | ||||
\(863\) | −2.31354e8 | − | 2.31354e8i | −0.359952 | − | 0.359952i | 0.503843 | − | 0.863795i | \(-0.331919\pi\) |
−0.863795 | + | 0.503843i | \(0.831919\pi\) | |||||||
\(864\) | −6.32137e7 | + | 2.35917e8i | −0.0980100 | + | 0.365778i | ||||
\(865\) | 1.61918e8 | + | 4.33858e7i | 0.250176 | + | 0.0670346i | ||||
\(866\) | −2.06989e8 | + | 2.06989e8i | −0.318709 | + | 0.318709i | ||||
\(867\) | 4.88432e8 | + | 8.45988e8i | 0.749456 | + | 1.29810i | ||||
\(868\) | −2.14793e8 | − | 1.24011e8i | −0.328444 | − | 0.189627i | ||||
\(869\) | 1.16678e8 | + | 4.35448e8i | 0.177799 | + | 0.663555i | ||||
\(870\) | − | 4.00822e8i | − | 0.608686i | ||||||
\(871\) | 3.24742e7 | − | 9.78387e6i | 0.0491456 | − | 0.0148066i | ||||
\(872\) | −6.18407e8 | −0.932663 | ||||||||
\(873\) | −1.01245e9 | + | 2.71284e8i | −1.52170 | + | 0.407739i | ||||
\(874\) | −5.39125e7 | + | 9.33791e7i | −0.0807523 | + | 0.139867i | ||||
\(875\) | −7.90599e8 | + | 4.56452e8i | −1.18014 | + | 0.681352i | ||||
\(876\) | 1.33508e8 | + | 1.33508e8i | 0.198607 | + | 0.198607i | ||||
\(877\) | −7.34972e6 | + | 2.74295e7i | −0.0108961 | + | 0.0406649i | −0.971160 | − | 0.238429i | \(-0.923367\pi\) |
0.960264 | + | 0.279094i | \(0.0900342\pi\) | |||||||
\(878\) | −6.65625e8 | − | 1.78354e8i | −0.983436 | − | 0.263511i | ||||
\(879\) | 1.31851e9 | − | 1.31851e9i | 1.94140 | − | 1.94140i | ||||
\(880\) | 6.03346e7 | + | 1.04503e8i | 0.0885358 | + | 0.153348i | ||||
\(881\) | 6.05572e8 | + | 3.49627e8i | 0.885601 | + | 0.511302i | 0.872501 | − | 0.488612i | \(-0.162497\pi\) |
0.0130999 | + | 0.999914i | \(0.495830\pi\) | |||||||
\(882\) | −3.85695e8 | − | 1.43943e9i | −0.562132 | − | 2.09790i | ||||
\(883\) | − | 1.03923e8i | − | 0.150949i | −0.997148 | − | 0.0754746i | \(-0.975953\pi\) | ||
0.997148 | − | 0.0754746i | \(-0.0240472\pi\) | |||||||
\(884\) | 1.74682e7 | − | 3.25324e7i | 0.0252866 | − | 0.0470932i | ||||
\(885\) | −3.51102e8 | −0.506528 | ||||||||
\(886\) | 7.97773e8 | − | 2.13763e8i | 1.14704 | − | 0.307348i | ||||
\(887\) | 2.07203e8 | − | 3.58887e8i | 0.296911 | − | 0.514265i | −0.678517 | − | 0.734585i | \(-0.737377\pi\) |
0.975428 | + | 0.220320i | \(0.0707103\pi\) | |||||||
\(888\) | 1.14982e9 | − | 6.63849e8i | 1.64207 | − | 0.948048i | ||||
\(889\) | 7.17424e8 | + | 7.17424e8i | 1.02111 | + | 1.02111i | ||||
\(890\) | −1.80619e7 | + | 6.74081e7i | −0.0256209 | + | 0.0956185i | ||||
\(891\) | 4.07547e8 | + | 1.09202e8i | 0.576162 | + | 0.154382i | ||||
\(892\) | −1.64616e7 | + | 1.64616e7i | −0.0231941 | + | 0.0231941i | ||||
\(893\) | 2.90956e7 | + | 5.03950e7i | 0.0408576 | + | 0.0707674i | ||||
\(894\) | 5.02624e8 | + | 2.90190e8i | 0.703445 | + | 0.406134i | ||||
\(895\) | 1.04540e8 | + | 3.90148e8i | 0.145819 | + | 0.544202i | ||||
\(896\) | 1.86219e7i | 0.0258880i | ||||||||
\(897\) | 7.12079e8 | − | 4.40932e8i | 0.986622 | − | 0.610934i | ||||
\(898\) | −1.16379e8 | −0.160710 | ||||||||
\(899\) | −4.45378e8 | + | 1.19339e8i | −0.612985 | + | 0.164249i | ||||
\(900\) | 1.66102e8 | − | 2.87697e8i | 0.227849 | − | 0.394646i | ||||
\(901\) | −1.18891e8 | + | 6.86419e7i | −0.162546 | + | 0.0938458i | ||||
\(902\) | −3.16523e8 | − | 3.16523e8i | −0.431306 | − | 0.431306i | ||||
\(903\) | 1.67930e8 | − | 6.26725e8i | 0.228069 | − | 0.851165i | ||||
\(904\) | 3.32973e8 | + | 8.92197e7i | 0.450716 | + | 0.120769i | ||||
\(905\) | −1.19801e8 | + | 1.19801e8i | −0.161627 | + | 0.161627i | ||||
\(906\) | 6.67062e7 | + | 1.15539e8i | 0.0896978 | + | 0.155361i | ||||
\(907\) | 1.22234e9 | + | 7.05716e8i | 1.63821 | + | 0.945819i | 0.981450 | + | 0.191716i | \(0.0614053\pi\) |
0.656756 | + | 0.754103i | \(0.271928\pi\) | |||||||
\(908\) | −1.41075e8 | − | 5.26501e8i | −0.188449 | − | 0.703301i | ||||
\(909\) | − | 1.47846e9i | − | 1.96842i | ||||||
\(910\) | 3.12843e8 | + | 2.94123e8i | 0.415148 | + | 0.390306i | ||||
\(911\) | 1.21681e8 | 0.160941 | 0.0804706 | − | 0.996757i | \(-0.474358\pi\) | ||||
0.0804706 | + | 0.996757i | \(0.474358\pi\) | |||||||
\(912\) | 1.25944e8 | − | 3.37466e7i | 0.166032 | − | 0.0444883i | ||||
\(913\) | 3.34981e8 | − | 5.80204e8i | 0.440157 | − | 0.762375i | ||||
\(914\) | −8.71436e8 | + | 5.03124e8i | −1.14129 | + | 0.658926i | ||||
\(915\) | −6.16086e8 | − | 6.16086e8i | −0.804227 | − | 0.804227i | ||||
\(916\) | −6.05423e7 | + | 2.25947e8i | −0.0787721 | + | 0.293981i | ||||
\(917\) | −8.86178e8 | − | 2.37451e8i | −1.14925 | − | 0.307940i | ||||
\(918\) | −2.60773e7 | + | 2.60773e7i | −0.0337081 | + | 0.0337081i | ||||
\(919\) | −4.14575e8 | − | 7.18065e8i | −0.534142 | − | 0.925161i | −0.999204 | − | 0.0398833i | \(-0.987301\pi\) |
0.465062 | − | 0.885278i | \(-0.346032\pi\) | |||||||
\(920\) | −2.33760e8 | − | 1.34962e8i | −0.300198 | − | 0.173319i | ||||
\(921\) | −1.43078e8 | − | 5.33976e8i | −0.183145 | − | 0.683506i | ||||
\(922\) | 6.10022e8i | 0.778311i | ||||||||
\(923\) | −2.65314e8 | + | 1.12821e9i | −0.337408 | + | 1.43478i | ||||
\(924\) | −9.28411e8 | −1.17686 | ||||||||
\(925\) | −7.23792e8 | + | 1.93939e8i | −0.914510 | + | 0.245042i | ||||
\(926\) | 5.91419e8 | − | 1.02437e9i | 0.744839 | − | 1.29010i | ||||
\(927\) | −2.82330e8 | + | 1.63003e8i | −0.354420 | + | 0.204624i | ||||
\(928\) | 5.43692e8 | + | 5.43692e8i | 0.680314 | + | 0.680314i | ||||
\(929\) | −2.06537e8 | + | 7.70807e8i | −0.257603 | + | 0.961387i | 0.709021 | + | 0.705188i | \(0.249137\pi\) |
−0.966624 | + | 0.256200i | \(0.917529\pi\) | |||||||
\(930\) | −1.93494e8 | − | 5.18466e7i | −0.240557 | − | 0.0644572i | ||||
\(931\) | 3.42217e8 | − | 3.42217e8i | 0.424084 | − | 0.424084i | ||||
\(932\) | 1.82310e8 | + | 3.15769e8i | 0.225197 | + | 0.390052i | ||||
\(933\) | 1.29101e9 | + | 7.45365e8i | 1.58959 | + | 0.917749i | ||||
\(934\) | −5.33229e7 | − | 1.99004e8i | −0.0654445 | − | 0.244242i | ||||
\(935\) | − | 4.55391e7i | − | 0.0557121i | ||||||
\(936\) | −1.14116e9 | − | 2.68360e8i | −1.39161 | − | 0.327258i | ||||
\(937\) | 8.99243e8 | 1.09310 | 0.546548 | − | 0.837428i | \(-0.315942\pi\) | ||||
0.546548 | + | 0.837428i | \(0.315942\pi\) | |||||||
\(938\) | −5.54061e7 | + | 1.48460e7i | −0.0671350 | + | 0.0179888i | ||||
\(939\) | 5.30286e8 | − | 9.18482e8i | 0.640492 | − | 1.10936i | ||||
\(940\) | −3.72492e7 | + | 2.15059e7i | −0.0448470 | + | 0.0258925i | ||||
\(941\) | −5.00314e8 | − | 5.00314e8i | −0.600446 | − | 0.600446i | 0.339985 | − | 0.940431i | \(-0.389578\pi\) |
−0.940431 | + | 0.339985i | \(0.889578\pi\) | |||||||
\(942\) | −3.86052e8 | + | 1.44076e9i | −0.461841 | + | 1.72361i | ||||
\(943\) | 4.75687e8 | + | 1.27460e8i | 0.567265 | + | 0.151998i | ||||
\(944\) | −1.90550e8 | + | 1.90550e8i | −0.226513 | + | 0.226513i | ||||
\(945\) | 1.54618e8 | + | 2.67806e8i | 0.183216 | + | 0.317340i | ||||
\(946\) | 1.88799e8 | + | 1.09003e8i | 0.223011 | + | 0.128756i | ||||
\(947\) | −1.43680e7 | − | 5.36222e7i | −0.0169179 | − | 0.0631386i | 0.956951 | − | 0.290250i | \(-0.0937385\pi\) |
−0.973869 | + | 0.227111i | \(0.927072\pi\) | |||||||
\(948\) | 3.60047e8i | 0.422605i | ||||||||
\(949\) | −2.57570e8 | + | 2.73963e8i | −0.301368 | + | 0.320549i | ||||
\(950\) | −1.49620e8 | −0.174510 | ||||||||
\(951\) | −1.04490e9 | + | 2.79980e8i | −1.21488 | + | 0.325525i | ||||
\(952\) | −1.05754e8 | + | 1.83171e8i | −0.122570 | + | 0.212298i | ||||
\(953\) | 9.82546e8 | − | 5.67273e8i | 1.13520 | − | 0.655411i | 0.189966 | − | 0.981791i | \(-0.439162\pi\) |
0.945239 | + | 0.326380i | \(0.105829\pi\) | |||||||
\(954\) | 9.09959e8 | + | 9.09959e8i | 1.04804 | + | 1.04804i | ||||
\(955\) | 2.45393e7 | − | 9.15819e7i | 0.0281742 | − | 0.105148i | ||||
\(956\) | 3.20657e7 | + | 8.59197e6i | 0.0367001 | + | 0.00983375i | ||||
\(957\) | −1.22045e9 | + | 1.22045e9i | −1.39247 | + | 1.39247i | ||||
\(958\) | −1.40445e8 | − | 2.43257e8i | −0.159738 | − | 0.276674i | ||||
\(959\) | −2.11510e8 | − | 1.22115e8i | −0.239814 | − | 0.138457i | ||||
\(960\) | 1.45993e8 | + | 5.44854e8i | 0.165013 | + | 0.615839i | ||||
\(961\) | − | 6.57064e8i | − | 0.740350i | ||||||
\(962\) | 4.11030e8 | + | 6.63789e8i | 0.461688 | + | 0.745598i | ||||
\(963\) | 8.52664e8 | 0.954770 | ||||||||
\(964\) | −9.82495e7 | + | 2.63259e7i | −0.109673 | + | 0.0293868i | ||||
\(965\) | 8.08488e7 | − | 1.40034e8i | 0.0899687 | − | 0.155830i | ||||
\(966\) | −1.22672e9 | + | 7.08247e8i | −1.36086 | + | 0.785694i | ||||
\(967\) | −8.67817e8 | − | 8.67817e8i | −0.959730 | − | 0.959730i | 0.0394902 | − | 0.999220i | \(-0.487427\pi\) |
−0.999220 | + | 0.0394902i | \(0.987427\pi\) | |||||||
\(968\) | 1.95222e7 | − | 7.28578e7i | 0.0215230 | − | 0.0803248i | ||||
\(969\) | −4.75297e7 | − | 1.27355e7i | −0.0522389 | − | 0.0139974i | ||||
\(970\) | −2.46734e8 | + | 2.46734e8i | −0.270342 | + | 0.270342i | ||||
\(971\) | −8.16768e8 | − | 1.41468e9i | −0.892156 | − | 1.54526i | −0.837285 | − | 0.546767i | \(-0.815858\pi\) |
−0.0548713 | − | 0.998493i | \(-0.517475\pi\) | |||||||
\(972\) | 4.55164e8 | + | 2.62789e8i | 0.495643 | + | 0.286160i | ||||
\(973\) | −1.10244e8 | − | 4.11437e8i | −0.119679 | − | 0.446647i | ||||
\(974\) | 9.74115e8i | 1.05422i | ||||||||
\(975\) | 1.02392e9 | + | 5.49793e8i | 1.10472 | + | 0.593178i | ||||
\(976\) | −6.68725e8 | −0.719280 | ||||||||
\(977\) | 8.63792e8 | − | 2.31452e8i | 0.926244 | − | 0.248186i | 0.235992 | − | 0.971755i | \(-0.424166\pi\) |
0.690252 | + | 0.723569i | \(0.257500\pi\) | |||||||
\(978\) | 7.07593e7 | − | 1.22559e8i | 0.0756427 | − | 0.131017i | ||||
\(979\) | 2.60246e8 | − | 1.50253e8i | 0.277355 | − | 0.160131i | ||||
\(980\) | 2.52948e8 | + | 2.52948e8i | 0.268753 | + | 0.268753i | ||||
\(981\) | 2.78477e8 | − | 1.03929e9i | 0.294974 | − | 1.10086i | ||||
\(982\) | 7.08374e8 | + | 1.89808e8i | 0.748045 | + | 0.200438i | ||||
\(983\) | −7.86290e8 | + | 7.86290e8i | −0.827793 | + | 0.827793i | −0.987211 | − | 0.159418i | \(-0.949038\pi\) |
0.159418 | + | 0.987211i | \(0.449038\pi\) | |||||||
\(984\) | −6.05408e8 | − | 1.04860e9i | −0.635423 | − | 1.10058i | ||||
\(985\) | −4.49913e8 | − | 2.59758e8i | −0.470782 | − | 0.271806i | ||||
\(986\) | 3.00487e7 | + | 1.12143e8i | 0.0313470 | + | 0.116988i | ||||
\(987\) | 7.64456e8i | 0.795063i | ||||||||
\(988\) | −3.24278e7 | − | 1.07633e8i | −0.0336237 | − | 0.111603i | ||||
\(989\) | −2.39843e8 | −0.247935 | ||||||||
\(990\) | −4.12331e8 | + | 1.10484e8i | −0.424953 | + | 0.113866i | ||||
\(991\) | −8.74680e8 | + | 1.51499e9i | −0.898728 | + | 1.55664i | −0.0696065 | + | 0.997575i | \(0.522174\pi\) |
−0.829122 | + | 0.559068i | \(0.811159\pi\) | |||||||
\(992\) | 3.32791e8 | − | 1.92137e8i | 0.340907 | − | 0.196823i | ||||
\(993\) | −5.79026e8 | − | 5.79026e8i | −0.591358 | − | 0.591358i | ||||
\(994\) | 5.07320e8 | − | 1.89334e9i | 0.516563 | − | 1.92784i | ||||
\(995\) | 2.83620e8 | + | 7.59957e7i | 0.287917 | + | 0.0771471i | ||||
\(996\) | 3.78357e8 | − | 3.78357e8i | 0.382934 | − | 0.382934i | ||||
\(997\) | 6.46846e8 | + | 1.12037e9i | 0.652703 | + | 1.13051i | 0.982464 | + | 0.186450i | \(0.0596983\pi\) |
−0.329762 | + | 0.944064i | \(0.606968\pi\) | |||||||
\(998\) | −4.83842e8 | − | 2.79347e8i | −0.486757 | − | 0.281029i | ||||
\(999\) | 1.45525e8 | + | 5.43108e8i | 0.145963 | + | 0.544741i |
(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.7.5 | yes | 24 | |
13.2 | odd | 12 | inner | 13.7.f.a.2.5 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.7.f.a.2.5 | ✓ | 24 | 13.2 | odd | 12 | inner | |
13.7.f.a.7.5 | yes | 24 | 1.1 | even | 1 | trivial |