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 | 7.6 | ||
Character | \(\chi\) | \(=\) | 13.7 |
Dual form | 13.7.f.a.2.6 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 12.5088 | − | 3.35172i | 1.56360 | − | 0.418966i | 0.629800 | − | 0.776758i | \(-0.283137\pi\) |
0.933801 | + | 0.357792i | \(0.116470\pi\) | |||||||
\(3\) | −1.31220 | + | 2.27280i | −0.0486001 | + | 0.0841778i | −0.889302 | − | 0.457320i | \(-0.848809\pi\) |
0.840702 | + | 0.541498i | \(0.182143\pi\) | |||||||
\(4\) | 89.8106 | − | 51.8522i | 1.40329 | − | 0.810190i | ||||
\(5\) | 24.9454 | + | 24.9454i | 0.199563 | + | 0.199563i | 0.799813 | − | 0.600249i | \(-0.204932\pi\) |
−0.600249 | + | 0.799813i | \(0.704932\pi\) | |||||||
\(6\) | −8.79628 | + | 32.8282i | −0.0407235 | + | 0.151982i | ||||
\(7\) | −400.516 | − | 107.318i | −1.16769 | − | 0.312880i | −0.377654 | − | 0.925947i | \(-0.623269\pi\) |
−0.790032 | + | 0.613066i | \(0.789936\pi\) | |||||||
\(8\) | 363.576 | − | 363.576i | 0.710109 | − | 0.710109i | ||||
\(9\) | 361.056 | + | 625.368i | 0.495276 | + | 0.857843i | ||||
\(10\) | 395.648 | + | 228.427i | 0.395648 | + | 0.228427i | ||||
\(11\) | −169.267 | − | 631.712i | −0.127173 | − | 0.474615i | 0.872735 | − | 0.488194i | \(-0.162344\pi\) |
−0.999908 | + | 0.0135791i | \(0.995677\pi\) | |||||||
\(12\) | 272.162i | 0.157501i | ||||||||
\(13\) | −1807.65 | + | 1248.68i | −0.822781 | + | 0.568358i | ||||
\(14\) | −5369.68 | −1.95688 | ||||||||
\(15\) | −89.4294 | + | 23.9625i | −0.0264976 | + | 0.00710001i | ||||
\(16\) | 10.7557 | − | 18.6295i | 0.00262591 | − | 0.00454822i | ||||
\(17\) | 4044.24 | − | 2334.94i | 0.823171 | − | 0.475258i | −0.0283376 | − | 0.999598i | \(-0.509021\pi\) |
0.851509 | + | 0.524340i | \(0.175688\pi\) | |||||||
\(18\) | 6612.44 | + | 6612.44i | 1.13382 | + | 1.13382i | ||||
\(19\) | 2588.98 | − | 9662.21i | 0.377458 | − | 1.40869i | −0.472263 | − | 0.881458i | \(-0.656563\pi\) |
0.849721 | − | 0.527233i | \(-0.176771\pi\) | |||||||
\(20\) | 3533.84 | + | 946.889i | 0.441730 | + | 0.118361i | ||||
\(21\) | 769.471 | − | 769.471i | 0.0830872 | − | 0.0830872i | ||||
\(22\) | −4234.65 | − | 7334.63i | −0.397695 | − | 0.688827i | ||||
\(23\) | 13824.2 | + | 7981.38i | 1.13620 | + | 0.655986i | 0.945487 | − | 0.325660i | \(-0.105586\pi\) |
0.190714 | + | 0.981646i | \(0.438920\pi\) | |||||||
\(24\) | 349.251 | + | 1303.42i | 0.0252641 | + | 0.0942868i | ||||
\(25\) | − | 14380.5i | − | 0.920349i | ||||||
\(26\) | −18426.3 | + | 21678.3i | −1.04838 | + | 1.23340i | ||||
\(27\) | −3808.31 | −0.193482 | ||||||||
\(28\) | −41535.3 | + | 11129.3i | −1.89210 | + | 0.506985i | ||||
\(29\) | 6616.02 | − | 11459.3i | 0.271271 | − | 0.469854i | −0.697917 | − | 0.716179i | \(-0.745890\pi\) |
0.969187 | + | 0.246324i | \(0.0792229\pi\) | |||||||
\(30\) | −1038.34 | + | 599.486i | −0.0384570 | + | 0.0222032i | ||||
\(31\) | −6057.12 | − | 6057.12i | −0.203321 | − | 0.203321i | 0.598100 | − | 0.801421i | \(-0.295922\pi\) |
−0.801421 | + | 0.598100i | \(0.795922\pi\) | |||||||
\(32\) | −8444.89 | + | 31516.8i | −0.257718 | + | 0.961815i | ||||
\(33\) | 1657.87 | + | 444.225i | 0.0461327 | + | 0.0123612i | ||||
\(34\) | 42762.5 | − | 42762.5i | 1.08799 | − | 1.08799i | ||||
\(35\) | −7313.95 | − | 12668.1i | −0.170588 | − | 0.295467i | ||||
\(36\) | 64853.3 | + | 37443.1i | 1.39003 | + | 0.802536i | ||||
\(37\) | 21020.2 | + | 78448.4i | 0.414984 | + | 1.54874i | 0.784868 | + | 0.619663i | \(0.212731\pi\) |
−0.369884 | + | 0.929078i | \(0.620603\pi\) | |||||||
\(38\) | − | 129540.i | − | 2.36077i | ||||||
\(39\) | −466.005 | − | 5746.96i | −0.00785591 | − | 0.0968822i | ||||
\(40\) | 18139.1 | 0.283424 | ||||||||
\(41\) | −114237. | + | 30609.7i | −1.65750 | + | 0.444127i | −0.961700 | − | 0.274105i | \(-0.911618\pi\) |
−0.695804 | + | 0.718232i | \(0.744952\pi\) | |||||||
\(42\) | 7046.11 | − | 12204.2i | 0.0951046 | − | 0.164726i | ||||
\(43\) | −38616.8 | + | 22295.4i | −0.485703 | + | 0.280421i | −0.722790 | − | 0.691068i | \(-0.757141\pi\) |
0.237087 | + | 0.971488i | \(0.423807\pi\) | |||||||
\(44\) | −47957.6 | − | 47957.6i | −0.562988 | − | 0.562988i | ||||
\(45\) | −6593.36 | + | 24606.8i | −0.0723551 | + | 0.270033i | ||||
\(46\) | 199675. | + | 53502.8i | 2.05140 | + | 0.549671i | ||||
\(47\) | 34061.0 | − | 34061.0i | 0.328068 | − | 0.328068i | −0.523784 | − | 0.851851i | \(-0.675480\pi\) |
0.851851 | + | 0.523784i | \(0.175480\pi\) | |||||||
\(48\) | 28.2274 | + | 48.8913i | 0.000255239 | + | 0.000442087i | ||||
\(49\) | 47009.1 | + | 27140.7i | 0.399571 | + | 0.230692i | ||||
\(50\) | −48199.3 | − | 179882.i | −0.385595 | − | 1.43906i | ||||
\(51\) | 12255.7i | 0.0923904i | ||||||||
\(52\) | −97599.2 | + | 205876.i | −0.694123 | + | 1.46418i | ||||
\(53\) | −14637.4 | −0.0983186 | −0.0491593 | − | 0.998791i | \(-0.515654\pi\) | ||||
−0.0491593 | + | 0.998791i | \(0.515654\pi\) | |||||||
\(54\) | −47637.4 | + | 12764.4i | −0.302529 | + | 0.0810623i | ||||
\(55\) | 11535.9 | − | 19980.8i | 0.0693367 | − | 0.120095i | ||||
\(56\) | −184636. | + | 106600.i | −1.05136 | + | 0.607005i | ||||
\(57\) | 18563.0 | + | 18563.0i | 0.100236 | + | 0.100236i | ||||
\(58\) | 44350.1 | − | 165517.i | 0.227306 | − | 0.848318i | ||||
\(59\) | −101893. | − | 27302.2i | −0.496124 | − | 0.132936i | 0.00207678 | − | 0.999998i | \(-0.499339\pi\) |
−0.498200 | + | 0.867062i | \(0.666006\pi\) | |||||||
\(60\) | −6789.20 | + | 6789.20i | −0.0314315 | + | 0.0314315i | ||||
\(61\) | 107360. | + | 185953.i | 0.472991 | + | 0.819245i | 0.999522 | − | 0.0309113i | \(-0.00984093\pi\) |
−0.526531 | + | 0.850156i | \(0.676508\pi\) | |||||||
\(62\) | −96069.2 | − | 55465.6i | −0.403097 | − | 0.232728i | ||||
\(63\) | −77495.7 | − | 289218.i | −0.309924 | − | 1.15665i | ||||
\(64\) | 423919.i | 1.61712i | ||||||||
\(65\) | −76241.5 | − | 13943.7i | −0.277620 | − | 0.0507735i | ||||
\(66\) | 22226.9 | 0.0773120 | ||||||||
\(67\) | 470454. | − | 126058.i | 1.56420 | − | 0.419126i | 0.630210 | − | 0.776425i | \(-0.282969\pi\) |
0.933990 | + | 0.357299i | \(0.116302\pi\) | |||||||
\(68\) | 242144. | − | 419405.i | 0.770099 | − | 1.33385i | ||||
\(69\) | −36280.2 | + | 20946.4i | −0.110439 | + | 0.0637620i | ||||
\(70\) | −133949. | − | 133949.i | −0.390522 | − | 0.390522i | ||||
\(71\) | 4932.21 | − | 18407.2i | 0.0137805 | − | 0.0514297i | −0.958693 | − | 0.284442i | \(-0.908192\pi\) |
0.972474 | + | 0.233012i | \(0.0748583\pi\) | |||||||
\(72\) | 358640. | + | 96097.3i | 0.960862 | + | 0.257462i | ||||
\(73\) | 158416. | − | 158416.i | 0.407222 | − | 0.407222i | −0.473547 | − | 0.880769i | \(-0.657027\pi\) |
0.880769 | + | 0.473547i | \(0.157027\pi\) | |||||||
\(74\) | 525875. | + | 910842.i | 1.29774 | + | 2.24775i | ||||
\(75\) | 32683.9 | + | 18870.1i | 0.0774730 | + | 0.0447290i | ||||
\(76\) | −268489. | − | 1.00201e6i | −0.611625 | − | 2.28262i | ||||
\(77\) | 271176.i | 0.593991i | ||||||||
\(78\) | −25091.4 | − | 70325.6i | −0.0528738 | − | 0.148194i | ||||
\(79\) | −280091. | −0.568091 | −0.284046 | − | 0.958811i | \(-0.591677\pi\) | ||||
−0.284046 | + | 0.958811i | \(0.591677\pi\) | |||||||
\(80\) | 733.027 | − | 196.414i | 0.00143169 | − | 0.000383621i | ||||
\(81\) | −258213. | + | 447238.i | −0.485873 | + | 0.841556i | ||||
\(82\) | −1.32637e6 | + | 765781.i | −2.40560 | + | 1.38887i | ||||
\(83\) | −662356. | − | 662356.i | −1.15840 | − | 1.15840i | −0.984820 | − | 0.173576i | \(-0.944468\pi\) |
−0.173576 | − | 0.984820i | \(-0.555532\pi\) | |||||||
\(84\) | 29207.9 | − | 109005.i | 0.0492791 | − | 0.183912i | ||||
\(85\) | 159131. | + | 42639.1i | 0.259119 | + | 0.0694307i | ||||
\(86\) | −408322. | + | 408322.i | −0.641959 | + | 0.641959i | ||||
\(87\) | 17363.1 | + | 30073.8i | 0.0263675 | + | 0.0456699i | ||||
\(88\) | −291217. | − | 168134.i | −0.427335 | − | 0.246722i | ||||
\(89\) | −4803.85 | − | 17928.2i | −0.00681427 | − | 0.0254312i | 0.962435 | − | 0.271512i | \(-0.0875237\pi\) |
−0.969249 | + | 0.246081i | \(0.920857\pi\) | |||||||
\(90\) | 329900.i | 0.452538i | ||||||||
\(91\) | 858000. | − | 306124.i | 1.13858 | − | 0.406232i | ||||
\(92\) | 1.65541e6 | 2.12589 | ||||||||
\(93\) | 21714.8 | − | 5818.47i | 0.0269965 | − | 0.00723369i | ||||
\(94\) | 311899. | − | 540225.i | 0.375518 | − | 0.650416i | ||||
\(95\) | 305611. | − | 176445.i | 0.356450 | − | 0.205796i | ||||
\(96\) | −60549.9 | − | 60549.9i | −0.0684384 | − | 0.0684384i | ||||
\(97\) | −295344. | + | 1.10224e6i | −0.323603 | + | 1.20770i | 0.592106 | + | 0.805860i | \(0.298297\pi\) |
−0.915709 | + | 0.401843i | \(0.868370\pi\) | |||||||
\(98\) | 678996. | + | 181936.i | 0.721421 | + | 0.193304i | ||||
\(99\) | 333938. | − | 333938.i | 0.344160 | − | 0.344160i | ||||
\(100\) | −745658. | − | 1.29152e6i | −0.745658 | − | 1.29152i | ||||
\(101\) | −197622. | − | 114097.i | −0.191810 | − | 0.110742i | 0.401019 | − | 0.916070i | \(-0.368656\pi\) |
−0.592830 | + | 0.805328i | \(0.701989\pi\) | |||||||
\(102\) | 41077.6 | + | 153304.i | 0.0387084 | + | 0.144462i | ||||
\(103\) | − | 844428.i | − | 0.772772i | −0.922337 | − | 0.386386i | \(-0.873723\pi\) | ||
0.922337 | − | 0.386386i | \(-0.126277\pi\) | |||||||
\(104\) | −203227. | + | 1.11121e6i | −0.180668 | + | 0.987861i | ||||
\(105\) | 38389.6 | 0.0331623 | ||||||||
\(106\) | −183096. | + | 49060.4i | −0.153731 | + | 0.0411921i | ||||
\(107\) | 183259. | − | 317414.i | 0.149594 | − | 0.259104i | −0.781484 | − | 0.623926i | \(-0.785537\pi\) |
0.931077 | + | 0.364822i | \(0.118870\pi\) | |||||||
\(108\) | −342026. | + | 197469.i | −0.271511 | + | 0.156757i | ||||
\(109\) | −239407. | − | 239407.i | −0.184866 | − | 0.184866i | 0.608606 | − | 0.793473i | \(-0.291729\pi\) |
−0.793473 | + | 0.608606i | \(0.791729\pi\) | |||||||
\(110\) | 77330.3 | − | 288601.i | 0.0580994 | − | 0.216830i | ||||
\(111\) | −205880. | − | 55165.5i | −0.150538 | − | 0.0403365i | ||||
\(112\) | −6307.13 | + | 6307.13i | −0.00448929 | + | 0.00448929i | ||||
\(113\) | 1.14875e6 | + | 1.98970e6i | 0.796145 | + | 1.37896i | 0.922110 | + | 0.386928i | \(0.126464\pi\) |
−0.125965 | + | 0.992035i | \(0.540203\pi\) | |||||||
\(114\) | 294419. | + | 169983.i | 0.198725 | + | 0.114734i | ||||
\(115\) | 145751. | + | 543948.i | 0.0958333 | + | 0.357655i | ||||
\(116\) | − | 1.37222e6i | − | 0.879123i | ||||||
\(117\) | −1.43355e6 | − | 679602.i | −0.895066 | − | 0.424323i | ||||
\(118\) | −1.36607e6 | −0.831435 | ||||||||
\(119\) | −1.87037e6 | + | 501163.i | −1.10990 | + | 0.297398i | ||||
\(120\) | −23802.2 | + | 41226.6i | −0.0137744 | + | 0.0238580i | ||||
\(121\) | 1.16381e6 | − | 671925.i | 0.656939 | − | 0.379284i | ||||
\(122\) | 1.96621e6 | + | 1.96621e6i | 1.08280 | + | 1.08280i | ||||
\(123\) | 80332.1 | − | 299804.i | 0.0431692 | − | 0.161110i | ||||
\(124\) | −858069. | − | 229919.i | −0.450046 | − | 0.120590i | ||||
\(125\) | 748499. | − | 748499.i | 0.383231 | − | 0.383231i | ||||
\(126\) | −1.93876e6 | − | 3.35803e6i | −0.969196 | − | 1.67870i | ||||
\(127\) | 2.93309e6 | + | 1.69342e6i | 1.43191 | + | 0.826712i | 0.997266 | − | 0.0738916i | \(-0.0235419\pi\) |
0.434641 | + | 0.900604i | \(0.356875\pi\) | |||||||
\(128\) | 880386. | + | 3.28565e6i | 0.419801 | + | 1.56672i | ||||
\(129\) | − | 117024.i | − | 0.0545139i | ||||||
\(130\) | −1.00043e6 | + | 81121.8i | −0.455360 | + | 0.0369239i | ||||
\(131\) | −4.30851e6 | −1.91652 | −0.958259 | − | 0.285900i | \(-0.907707\pi\) | ||||
−0.958259 | + | 0.285900i | \(0.907707\pi\) | |||||||
\(132\) | 171928. | − | 46068.0i | 0.0747524 | − | 0.0200299i | ||||
\(133\) | −2.07386e6 | + | 3.59203e6i | −0.881504 | + | 1.52681i | ||||
\(134\) | 5.46230e6 | − | 3.15366e6i | 2.27019 | − | 1.31069i | ||||
\(135\) | −94999.8 | − | 94999.8i | −0.0386119 | − | 0.0386119i | ||||
\(136\) | 621459. | − | 2.31932e6i | 0.247056 | − | 0.922027i | ||||
\(137\) | −2.56532e6 | − | 687375.i | −0.997654 | − | 0.267321i | −0.277192 | − | 0.960815i | \(-0.589404\pi\) |
−0.720462 | + | 0.693494i | \(0.756070\pi\) | |||||||
\(138\) | −383615. | + | 383615.i | −0.145968 | + | 0.145968i | ||||
\(139\) | 63545.5 | + | 110064.i | 0.0236614 | + | 0.0409827i | 0.877614 | − | 0.479369i | \(-0.159134\pi\) |
−0.853952 | + | 0.520351i | \(0.825801\pi\) | |||||||
\(140\) | −1.31374e6 | − | 758489.i | −0.478769 | − | 0.276417i | ||||
\(141\) | 32718.9 | + | 122109.i | 0.0116719 | + | 0.0435601i | ||||
\(142\) | − | 246784.i | − | 0.0861890i | ||||||
\(143\) | 1.09478e6 | + | 930555.i | 0.374387 | + | 0.318225i | ||||
\(144\) | 15533.7 | 0.00520221 | ||||||||
\(145\) | 450896. | − | 120817.i | 0.147901 | − | 0.0396301i | ||||
\(146\) | 1.45063e6 | − | 2.51256e6i | 0.466120 | − | 0.807344i | ||||
\(147\) | −123371. | + | 71228.2i | −0.0388383 | + | 0.0224233i | ||||
\(148\) | 5.95555e6 | + | 5.95555e6i | 1.83712 | + | 1.83712i | ||||
\(149\) | 720669. | − | 2.68957e6i | 0.217860 | − | 0.813064i | −0.767280 | − | 0.641312i | \(-0.778391\pi\) |
0.985140 | − | 0.171752i | \(-0.0549428\pi\) | |||||||
\(150\) | 472084. | + | 126495.i | 0.139877 | + | 0.0374799i | ||||
\(151\) | 2.69616e6 | − | 2.69616e6i | 0.783097 | − | 0.783097i | −0.197255 | − | 0.980352i | \(-0.563203\pi\) |
0.980352 | + | 0.197255i | \(0.0632027\pi\) | |||||||
\(152\) | −2.57166e6 | − | 4.45424e6i | −0.732288 | − | 1.26836i | ||||
\(153\) | 2.92040e6 | + | 1.68609e6i | 0.815394 | + | 0.470768i | ||||
\(154\) | 908909. | + | 3.39209e6i | 0.248862 | + | 0.928765i | ||||
\(155\) | − | 302195.i | − | 0.0811507i | ||||||
\(156\) | −339844. | − | 491974.i | −0.0895171 | − | 0.129589i | ||||
\(157\) | 4.22843e6 | 1.09265 | 0.546325 | − | 0.837574i | \(-0.316027\pi\) | ||||
0.546325 | + | 0.837574i | \(0.316027\pi\) | |||||||
\(158\) | −3.50361e6 | + | 938789.i | −0.888268 | + | 0.238011i | ||||
\(159\) | 19207.2 | − | 33267.8i | 0.00477829 | − | 0.00827624i | ||||
\(160\) | −996860. | + | 575538.i | −0.243374 | + | 0.140512i | ||||
\(161\) | −4.68025e6 | − | 4.68025e6i | −1.12148 | − | 1.12148i | ||||
\(162\) | −1.73092e6 | + | 6.45987e6i | −0.407128 | + | 1.51942i | ||||
\(163\) | −4.39530e6 | − | 1.17772e6i | −1.01491 | − | 0.271943i | −0.287228 | − | 0.957862i | \(-0.592734\pi\) |
−0.727678 | + | 0.685919i | \(0.759400\pi\) | |||||||
\(164\) | −8.67250e6 | + | 8.67250e6i | −1.96613 | + | 1.96613i | ||||
\(165\) | 30274.9 | + | 52437.6i | 0.00673954 | + | 0.0116732i | ||||
\(166\) | −1.05053e7 | − | 6.06525e6i | −2.29660 | − | 1.32594i | ||||
\(167\) | 817591. | + | 3.05129e6i | 0.175544 | + | 0.655140i | 0.996458 | + | 0.0840883i | \(0.0267978\pi\) |
−0.820914 | + | 0.571052i | \(0.806536\pi\) | |||||||
\(168\) | − | 559522.i | − | 0.118002i | ||||||
\(169\) | 1.70839e6 | − | 4.51436e6i | 0.353938 | − | 0.935269i | ||||
\(170\) | 2.13346e6 | 0.434248 | ||||||||
\(171\) | 6.97720e6 | − | 1.86954e6i | 1.39538 | − | 0.373891i | ||||
\(172\) | −2.31213e6 | + | 4.00473e6i | −0.454388 | + | 0.787023i | ||||
\(173\) | 3.36007e6 | − | 1.93994e6i | 0.648948 | − | 0.374671i | −0.139105 | − | 0.990278i | \(-0.544422\pi\) |
0.788053 | + | 0.615607i | \(0.211089\pi\) | |||||||
\(174\) | 317991. | + | 317991.i | 0.0603625 | + | 0.0603625i | ||||
\(175\) | −1.54328e6 | + | 5.75960e6i | −0.287959 | + | 1.07468i | ||||
\(176\) | −13589.1 | − | 3641.18i | −0.00249260 | − | 0.000667889i | ||||
\(177\) | 195757. | − | 195757.i | 0.0353019 | − | 0.0353019i | ||||
\(178\) | −120181. | − | 208159.i | −0.0213096 | − | 0.0369093i | ||||
\(179\) | 877019. | + | 506347.i | 0.152915 | + | 0.0882854i | 0.574505 | − | 0.818501i | \(-0.305195\pi\) |
−0.421590 | + | 0.906786i | \(0.638528\pi\) | |||||||
\(180\) | 683760. | + | 2.55183e6i | 0.117243 | + | 0.437556i | ||||
\(181\) | − | 3.85774e6i | − | 0.650574i | −0.945615 | − | 0.325287i | \(-0.894539\pi\) | ||
0.945615 | − | 0.325287i | \(-0.105461\pi\) | |||||||
\(182\) | 9.70651e6 | − | 6.70503e6i | 1.61009 | − | 1.11221i | ||||
\(183\) | −563512. | −0.0919496 | ||||||||
\(184\) | 7.92797e6 | − | 2.12429e6i | 1.27265 | − | 0.341005i | ||||
\(185\) | −1.43257e6 | + | 2.48129e6i | −0.226256 | + | 0.391888i | ||||
\(186\) | 252125. | − | 145564.i | 0.0391811 | − | 0.0226212i | ||||
\(187\) | −2.15957e6 | − | 2.15957e6i | −0.330249 | − | 0.330249i | ||||
\(188\) | 1.29290e6 | − | 4.82517e6i | 0.194577 | − | 0.726171i | ||||
\(189\) | 1.52529e6 | + | 408700.i | 0.225926 | + | 0.0605368i | ||||
\(190\) | 3.23144e6 | − | 3.23144e6i | 0.471124 | − | 0.471124i | ||||
\(191\) | 2.86422e6 | + | 4.96098e6i | 0.411061 | + | 0.711979i | 0.995006 | − | 0.0998143i | \(-0.0318249\pi\) |
−0.583945 | + | 0.811793i | \(0.698492\pi\) | |||||||
\(192\) | −963483. | − | 556267.i | −0.136126 | − | 0.0785923i | ||||
\(193\) | −1.95867e6 | − | 7.30986e6i | −0.272452 | − | 1.01680i | −0.957530 | − | 0.288334i | \(-0.906899\pi\) |
0.685078 | − | 0.728470i | \(-0.259768\pi\) | |||||||
\(194\) | 1.47776e7i | 2.02394i | ||||||||
\(195\) | 131736. | − | 154985.i | 0.0177664 | − | 0.0209019i | ||||
\(196\) | 5.62922e6 | 0.747618 | ||||||||
\(197\) | −173531. | + | 46497.5i | −0.0226975 | + | 0.00608178i | −0.270150 | − | 0.962818i | \(-0.587073\pi\) |
0.247452 | + | 0.968900i | \(0.420407\pi\) | |||||||
\(198\) | 3.05790e6 | − | 5.29643e6i | 0.393937 | − | 0.682319i | ||||
\(199\) | −7.25547e6 | + | 4.18895e6i | −0.920675 | + | 0.531552i | −0.883850 | − | 0.467770i | \(-0.845058\pi\) |
−0.0368244 | + | 0.999322i | \(0.511724\pi\) | |||||||
\(200\) | −5.22839e6 | − | 5.22839e6i | −0.653548 | − | 0.653548i | ||||
\(201\) | −330826. | + | 1.23466e6i | −0.0407391 | + | 0.152041i | ||||
\(202\) | −2.85444e6 | − | 764845.i | −0.346312 | − | 0.0927939i | ||||
\(203\) | −3.87961e6 | + | 3.87961e6i | −0.463767 | + | 0.463767i | ||||
\(204\) | 635483. | + | 1.10069e6i | 0.0748538 | + | 0.129651i | ||||
\(205\) | −3.61326e6 | − | 2.08611e6i | −0.419409 | − | 0.242146i | ||||
\(206\) | −2.83029e6 | − | 1.05628e7i | −0.323765 | − | 1.20831i | ||||
\(207\) | 1.15269e7i | 1.29958i | ||||||||
\(208\) | 3819.71 | + | 47106.1i | 0.000424463 | + | 0.00523465i | ||||
\(209\) | −6.54197e6 | −0.716588 | ||||||||
\(210\) | 480208. | − | 128671.i | 0.0518527 | − | 0.0138939i | ||||
\(211\) | −4.52220e6 | + | 7.83268e6i | −0.481396 | + | 0.833802i | −0.999772 | − | 0.0213508i | \(-0.993203\pi\) |
0.518376 | + | 0.855153i | \(0.326537\pi\) | |||||||
\(212\) | −1.31459e6 | + | 758979.i | −0.137969 | + | 0.0796567i | ||||
\(213\) | 35364.0 | + | 35364.0i | 0.00365950 | + | 0.00365950i | ||||
\(214\) | 1.22847e6 | − | 4.58470e6i | 0.125349 | − | 0.467810i | ||||
\(215\) | −1.51948e6 | − | 407143.i | −0.152890 | − | 0.0409668i | ||||
\(216\) | −1.38461e6 | + | 1.38461e6i | −0.137393 | + | 0.137393i | ||||
\(217\) | 1.77594e6 | + | 3.07602e6i | 0.173800 | + | 0.301030i | ||||
\(218\) | −3.79713e6 | − | 2.19227e6i | −0.366510 | − | 0.211605i | ||||
\(219\) | 152174. | + | 567922.i | 0.0144880 | + | 0.0540700i | ||||
\(220\) | − | 2.39265e6i | − | 0.224704i | ||||||
\(221\) | −4.39497e6 | + | 9.27074e6i | −0.407173 | + | 0.858890i | ||||
\(222\) | −2.76022e6 | −0.252281 | ||||||||
\(223\) | 9.34354e6 | − | 2.50359e6i | 0.842553 | − | 0.225761i | 0.188370 | − | 0.982098i | \(-0.439680\pi\) |
0.654182 | + | 0.756337i | \(0.273013\pi\) | |||||||
\(224\) | 6.76463e6 | − | 1.17167e7i | 0.601867 | − | 1.04246i | ||||
\(225\) | 8.99307e6 | − | 5.19215e6i | 0.789515 | − | 0.455827i | ||||
\(226\) | 2.10385e7 | + | 2.10385e7i | 1.82259 | + | 1.82259i | ||||
\(227\) | 2.93077e6 | − | 1.09378e7i | 0.250556 | − | 0.935087i | −0.719953 | − | 0.694023i | \(-0.755837\pi\) |
0.970509 | − | 0.241065i | \(-0.0774965\pi\) | |||||||
\(228\) | 2.62969e6 | + | 704623.i | 0.221871 | + | 0.0594501i | ||||
\(229\) | −1.76098e6 | + | 1.76098e6i | −0.146639 | + | 0.146639i | −0.776615 | − | 0.629976i | \(-0.783065\pi\) |
0.629976 | + | 0.776615i | \(0.283065\pi\) | |||||||
\(230\) | 3.64633e6 | + | 6.31563e6i | 0.299690 | + | 0.519079i | ||||
\(231\) | −616330. | − | 355838.i | −0.0500009 | − | 0.0288680i | ||||
\(232\) | −1.76089e6 | − | 6.57174e6i | −0.141016 | − | 0.526280i | ||||
\(233\) | − | 6.96111e6i | − | 0.550314i | −0.961399 | − | 0.275157i | \(-0.911270\pi\) | ||
0.961399 | − | 0.275157i | \(-0.0887299\pi\) | |||||||
\(234\) | −2.02098e7 | − | 3.69614e6i | −1.57730 | − | 0.288470i | ||||
\(235\) | 1.69933e6 | 0.130941 | ||||||||
\(236\) | −1.05668e7 | + | 2.83136e6i | −0.803909 | + | 0.215407i | ||||
\(237\) | 367536. | − | 636592.i | 0.0276093 | − | 0.0478207i | ||||
\(238\) | −2.17163e7 | + | 1.25379e7i | −1.61085 | + | 0.930024i | ||||
\(239\) | −8.08660e6 | − | 8.08660e6i | −0.592341 | − | 0.592341i | 0.345922 | − | 0.938263i | \(-0.387566\pi\) |
−0.938263 | + | 0.345922i | \(0.887566\pi\) | |||||||
\(240\) | −515.470 | + | 1923.76i | −3.72881e−5 | + | 0.000139161i | ||||
\(241\) | −2.82455e6 | − | 756837.i | −0.201790 | − | 0.0540694i | 0.156508 | − | 0.987677i | \(-0.449976\pi\) |
−0.358298 | + | 0.933607i | \(0.616643\pi\) | |||||||
\(242\) | 1.23057e7 | − | 1.23057e7i | 0.868284 | − | 0.868284i | ||||
\(243\) | −2.06578e6 | − | 3.57804e6i | −0.143968 | − | 0.249360i | ||||
\(244\) | 1.92841e7 | + | 1.11337e7i | 1.32749 | + | 0.766425i | ||||
\(245\) | 495625. | + | 1.84970e6i | 0.0337020 | + | 0.125777i | ||||
\(246\) | − | 4.01944e6i | − | 0.269998i | ||||||
\(247\) | 7.38506e6 | + | 2.06987e7i | 0.490076 | + | 1.37358i | ||||
\(248\) | −4.40445e6 | −0.288760 | ||||||||
\(249\) | 2.37455e6 | − | 636258.i | 0.153809 | − | 0.0412131i | ||||
\(250\) | 6.85406e6 | − | 1.18716e7i | 0.438660 | − | 0.759782i | ||||
\(251\) | 5.83721e6 | − | 3.37012e6i | 0.369134 | − | 0.213120i | −0.303946 | − | 0.952689i | \(-0.598304\pi\) |
0.673080 | + | 0.739569i | \(0.264971\pi\) | |||||||
\(252\) | −2.19565e7 | − | 2.19565e7i | −1.37202 | − | 1.37202i | ||||
\(253\) | 2.70197e6 | − | 1.00839e7i | 0.166847 | − | 0.622681i | ||||
\(254\) | 4.23654e7 | + | 1.13518e7i | 2.58530 | + | 0.692728i | ||||
\(255\) | −305723. | + | 305723.i | −0.0184377 | + | 0.0184377i | ||||
\(256\) | 8.45976e6 | + | 1.46527e7i | 0.504241 | + | 0.873371i | ||||
\(257\) | 2.33937e7 | + | 1.35064e7i | 1.37816 | + | 0.795682i | 0.991938 | − | 0.126723i | \(-0.0404460\pi\) |
0.386224 | + | 0.922405i | \(0.373779\pi\) | |||||||
\(258\) | −392233. | − | 1.46383e6i | −0.0228394 | − | 0.0852379i | ||||
\(259\) | − | 3.36757e7i | − | 1.93828i | ||||||
\(260\) | −7.57031e6 | + | 2.70100e6i | −0.430718 | + | 0.153675i | ||||
\(261\) | 9.55502e6 | 0.537415 | ||||||||
\(262\) | −5.38943e7 | + | 1.44409e7i | −2.99667 | + | 0.802956i | ||||
\(263\) | −5.21923e6 | + | 9.03997e6i | −0.286906 | + | 0.496935i | −0.973070 | − | 0.230512i | \(-0.925960\pi\) |
0.686164 | + | 0.727447i | \(0.259293\pi\) | |||||||
\(264\) | 764271. | − | 441252.i | 0.0415370 | − | 0.0239814i | ||||
\(265\) | −365135. | − | 365135.i | −0.0196208 | − | 0.0196208i | ||||
\(266\) | −1.39020e7 | + | 5.18830e7i | −0.738640 | + | 2.75664i | ||||
\(267\) | 47050.9 | + | 12607.2i | 0.00247192 | + | 0.000662348i | ||||
\(268\) | 3.57153e7 | − | 3.57153e7i | 1.85546 | − | 1.85546i | ||||
\(269\) | −1.53380e7 | − | 2.65662e7i | −0.787973 | − | 1.36481i | −0.927207 | − | 0.374550i | \(-0.877797\pi\) |
0.139233 | − | 0.990260i | \(-0.455536\pi\) | |||||||
\(270\) | −1.50675e6 | − | 869921.i | −0.0765507 | − | 0.0441966i | ||||
\(271\) | 2.31549e6 | + | 8.64151e6i | 0.116341 | + | 0.434192i | 0.999384 | − | 0.0351012i | \(-0.0111754\pi\) |
−0.883042 | + | 0.469293i | \(0.844509\pi\) | |||||||
\(272\) | − | 100456.i | − | 0.00499195i | ||||||
\(273\) | −430109. | + | 2.35176e6i | −0.0211393 | + | 0.115586i | ||||
\(274\) | −3.43930e7 | −1.67193 | ||||||||
\(275\) | −9.08431e6 | + | 2.43413e6i | −0.436811 | + | 0.117043i | ||||
\(276\) | −2.17223e6 | + | 3.76241e6i | −0.103319 | + | 0.178953i | ||||
\(277\) | −1.90907e7 | + | 1.10220e7i | −0.898218 | + | 0.518587i | −0.876622 | − | 0.481180i | \(-0.840208\pi\) |
−0.0215966 | + | 0.999767i | \(0.506875\pi\) | |||||||
\(278\) | 1.16378e6 | + | 1.16378e6i | 0.0541673 | + | 0.0541673i | ||||
\(279\) | 1.60097e6 | − | 5.97489e6i | 0.0737174 | − | 0.275117i | ||||
\(280\) | −7.26501e6 | − | 1.94665e6i | −0.330950 | − | 0.0886777i | ||||
\(281\) | −1.70282e7 | + | 1.70282e7i | −0.767449 | + | 0.767449i | −0.977657 | − | 0.210208i | \(-0.932586\pi\) |
0.210208 | + | 0.977657i | \(0.432586\pi\) | |||||||
\(282\) | 818549. | + | 1.41777e6i | 0.0365004 | + | 0.0632205i | ||||
\(283\) | −8.32872e6 | − | 4.80859e6i | −0.367467 | − | 0.212157i | 0.304884 | − | 0.952389i | \(-0.401382\pi\) |
−0.672351 | + | 0.740232i | \(0.734716\pi\) | |||||||
\(284\) | −511491. | − | 1.90891e6i | −0.0223297 | − | 0.0833356i | ||||
\(285\) | 926125.i | 0.0400069i | ||||||||
\(286\) | 1.68134e7 | + | 7.97072e6i | 0.718716 | + | 0.340721i | ||||
\(287\) | 4.90387e7 | 2.07440 | ||||||||
\(288\) | −2.27587e7 | + | 6.09816e6i | −0.952728 | + | 0.255283i | ||||
\(289\) | −1.16486e6 | + | 2.01760e6i | −0.0482594 | + | 0.0835877i | ||||
\(290\) | 5.23522e6 | − | 3.02256e6i | 0.214655 | − | 0.123931i | ||||
\(291\) | −2.11762e6 | − | 2.11762e6i | −0.0859347 | − | 0.0859347i | ||||
\(292\) | 6.01323e6 | − | 2.24417e7i | 0.241523 | − | 0.901377i | ||||
\(293\) | 1.15240e6 | + | 308784.i | 0.0458141 | + | 0.0122758i | 0.281653 | − | 0.959516i | \(-0.409117\pi\) |
−0.235839 | + | 0.971792i | \(0.575784\pi\) | |||||||
\(294\) | −1.30449e6 | + | 1.30449e6i | −0.0513331 | + | 0.0513331i | ||||
\(295\) | −1.86071e6 | − | 3.22284e6i | −0.0724790 | − | 0.125537i | ||||
\(296\) | 3.61644e7 | + | 2.08795e7i | 1.39446 | + | 0.805091i | ||||
\(297\) | 644620. | + | 2.40575e6i | 0.0246056 | + | 0.0918295i | ||||
\(298\) | − | 3.60588e7i | − | 1.36258i | ||||||
\(299\) | −3.49555e7 | + | 2.83444e6i | −1.30768 | + | 0.106036i | ||||
\(300\) | 3.91381e6 | 0.144956 | ||||||||
\(301\) | 1.78593e7 | − | 4.78540e6i | 0.654886 | − | 0.175476i | ||||
\(302\) | 2.46890e7 | − | 4.27626e7i | 0.896361 | − | 1.55254i | ||||
\(303\) | 518641. | − | 299437.i | 0.0186440 | − | 0.0107641i | ||||
\(304\) | −152156. | − | 152156.i | −0.00541586 | − | 0.00541586i | ||||
\(305\) | −1.96053e6 | + | 7.31682e6i | −0.0690995 | + | 0.257883i | ||||
\(306\) | 4.21820e7 | + | 1.13026e7i | 1.47219 | + | 0.394471i | ||||
\(307\) | 4.80186e6 | − | 4.80186e6i | 0.165956 | − | 0.165956i | −0.619243 | − | 0.785199i | \(-0.712560\pi\) |
0.785199 | + | 0.619243i | \(0.212560\pi\) | |||||||
\(308\) | 1.40611e7 | + | 2.43545e7i | 0.481246 | + | 0.833542i | ||||
\(309\) | 1.91922e6 | + | 1.10806e6i | 0.0650502 | + | 0.0375568i | ||||
\(310\) | −1.01287e6 | − | 3.78010e6i | −0.0339994 | − | 0.126887i | ||||
\(311\) | 6.99673e6i | 0.232602i | 0.993214 | + | 0.116301i | \(0.0371038\pi\) | ||||
−0.993214 | + | 0.116301i | \(0.962896\pi\) | |||||||
\(312\) | −2.25888e6 | − | 1.92003e6i | −0.0743755 | − | 0.0632184i | ||||
\(313\) | 4.60593e6 | 0.150205 | 0.0751025 | − | 0.997176i | \(-0.476072\pi\) | ||||
0.0751025 | + | 0.997176i | \(0.476072\pi\) | |||||||
\(314\) | 5.28927e7 | − | 1.41726e7i | 1.70847 | − | 0.457782i | ||||
\(315\) | 5.28150e6 | − | 9.14782e6i | 0.168976 | − | 0.292675i | ||||
\(316\) | −2.51552e7 | + | 1.45233e7i | −0.797197 | + | 0.460262i | ||||
\(317\) | 1.11600e7 | + | 1.11600e7i | 0.350337 | + | 0.350337i | 0.860235 | − | 0.509898i | \(-0.170317\pi\) |
−0.509898 | + | 0.860235i | \(0.670317\pi\) | |||||||
\(318\) | 128754. | − | 480518.i | 0.00400388 | − | 0.0149427i | ||||
\(319\) | −8.35884e6 | − | 2.23974e6i | −0.257498 | − | 0.0689964i | ||||
\(320\) | −1.05748e7 | + | 1.05748e7i | −0.322718 | + | 0.322718i | ||||
\(321\) | 480946. | + | 833022.i | 0.0145405 | + | 0.0251850i | ||||
\(322\) | −7.42313e7 | − | 4.28575e7i | −2.22341 | − | 1.28369i | ||||
\(323\) | −1.20903e7 | − | 4.51214e7i | −0.358780 | − | 1.33898i | ||||
\(324\) | 5.35556e7i | 1.57460i | ||||||||
\(325\) | 1.79566e7 | + | 2.59948e7i | 0.523088 | + | 0.757246i | ||||
\(326\) | −5.89273e7 | −1.70084 | ||||||||
\(327\) | 858277. | − | 229975.i | 0.0245462 | − | 0.00657713i | ||||
\(328\) | −3.04048e7 | + | 5.26627e7i | −0.861630 | + | 1.49239i | ||||
\(329\) | −1.72973e7 | + | 9.98661e6i | −0.485726 | + | 0.280434i | ||||
\(330\) | 554459. | + | 554459.i | 0.0154286 | + | 0.0154286i | ||||
\(331\) | 1.63243e7 | − | 6.09232e7i | 0.450144 | − | 1.67996i | −0.251842 | − | 0.967768i | \(-0.581036\pi\) |
0.701986 | − | 0.712191i | \(-0.252297\pi\) | |||||||
\(332\) | −9.38312e7 | − | 2.51420e7i | −2.56409 | − | 0.687045i | ||||
\(333\) | −4.14696e7 | + | 4.14696e7i | −1.12305 | + | 1.12305i | ||||
\(334\) | 2.04542e7 | + | 3.54277e7i | 0.548962 | + | 0.950831i | ||||
\(335\) | 1.48802e7 | + | 8.59110e6i | 0.395799 | + | 0.228515i | ||||
\(336\) | −6058.62 | − | 22611.1i | −0.000159719 | − | 0.000596079i | ||||
\(337\) | 4.12078e7i | 1.07669i | 0.842725 | + | 0.538344i | \(0.180950\pi\) | ||||
−0.842725 | + | 0.538344i | \(0.819050\pi\) | |||||||
\(338\) | 6.23903e6 | − | 6.21954e7i | 0.161572 | − | 1.61068i | ||||
\(339\) | −6.02959e6 | −0.154771 | ||||||||
\(340\) | 1.65026e7 | − | 4.42186e6i | 0.419871 | − | 0.112504i | ||||
\(341\) | −2.80109e6 | + | 4.85163e6i | −0.0706422 | + | 0.122356i | ||||
\(342\) | 8.10103e7 | − | 4.67713e7i | 2.02517 | − | 1.16923i | ||||
\(343\) | 1.85793e7 | + | 1.85793e7i | 0.460411 | + | 0.460411i | ||||
\(344\) | −5.93406e6 | + | 2.21462e7i | −0.145773 | + | 0.544031i | ||||
\(345\) | −1.42754e6 | − | 382508.i | −0.0347641 | − | 0.00931502i | ||||
\(346\) | 3.55283e7 | − | 3.55283e7i | 0.857722 | − | 0.857722i | ||||
\(347\) | −2.18829e7 | − | 3.79023e7i | −0.523741 | − | 0.907146i | −0.999618 | − | 0.0276341i | \(-0.991203\pi\) |
0.475877 | − | 0.879512i | \(-0.342131\pi\) | |||||||
\(348\) | 3.11878e6 | + | 1.80063e6i | 0.0740026 | + | 0.0427254i | ||||
\(349\) | 7.45551e6 | + | 2.78243e7i | 0.175389 | + | 0.654559i | 0.996485 | + | 0.0837696i | \(0.0266960\pi\) |
−0.821097 | + | 0.570789i | \(0.806637\pi\) | |||||||
\(350\) | 7.72184e7i | 1.80101i | ||||||||
\(351\) | 6.88409e6 | − | 4.75537e6i | 0.159193 | − | 0.109967i | ||||
\(352\) | 2.13390e7 | 0.489267 | ||||||||
\(353\) | 6.61158e7 | − | 1.77157e7i | 1.50308 | − | 0.402748i | 0.588947 | − | 0.808172i | \(-0.299543\pi\) |
0.914129 | + | 0.405423i | \(0.132876\pi\) | |||||||
\(354\) | 1.79257e6 | − | 3.10482e6i | 0.0404078 | − | 0.0699884i | ||||
\(355\) | 582212. | − | 336141.i | 0.0130136 | − | 0.00751339i | ||||
\(356\) | −1.36105e6 | − | 1.36105e6i | −0.0301665 | − | 0.0301665i | ||||
\(357\) | 1.31525e6 | − | 4.90860e6i | 0.0289071 | − | 0.107883i | ||||
\(358\) | 1.26676e7 | + | 3.39427e6i | 0.276086 | + | 0.0739771i | ||||
\(359\) | −2.63511e7 | + | 2.63511e7i | −0.569529 | + | 0.569529i | −0.931997 | − | 0.362467i | \(-0.881934\pi\) |
0.362467 | + | 0.931997i | \(0.381934\pi\) | |||||||
\(360\) | 6.54924e6 | + | 1.13436e7i | 0.140373 | + | 0.243133i | ||||
\(361\) | −4.59126e7 | − | 2.65076e7i | −0.975911 | − | 0.563442i | ||||
\(362\) | −1.29301e7 | − | 4.82557e7i | −0.272568 | − | 1.01724i | ||||
\(363\) | 3.52680e6i | 0.0737329i | ||||||||
\(364\) | 6.11842e7 | − | 7.19823e7i | 1.26863 | − | 1.49253i | ||||
\(365\) | 7.90351e6 | 0.162533 | ||||||||
\(366\) | −7.04887e6 | + | 1.88874e6i | −0.143773 | + | 0.0385237i | ||||
\(367\) | −2.68381e7 | + | 4.64849e7i | −0.542942 | + | 0.940403i | 0.455791 | + | 0.890087i | \(0.349356\pi\) |
−0.998733 | + | 0.0503164i | \(0.983977\pi\) | |||||||
\(368\) | 297378. | − | 171691.i | 0.00596713 | − | 0.00344513i | ||||
\(369\) | −6.03882e7 | − | 6.03882e7i | −1.20191 | − | 1.20191i | ||||
\(370\) | −9.60317e6 | + | 3.58395e7i | −0.189587 | + | 0.707549i | ||||
\(371\) | 5.86251e6 | + | 1.57085e6i | 0.114805 | + | 0.0307620i | ||||
\(372\) | 1.64852e6 | − | 1.64852e6i | 0.0320233 | − | 0.0320233i | ||||
\(373\) | 2.29187e7 | + | 3.96963e7i | 0.441634 | + | 0.764933i | 0.997811 | − | 0.0661312i | \(-0.0210656\pi\) |
−0.556177 | + | 0.831064i | \(0.687732\pi\) | |||||||
\(374\) | −3.42519e7 | − | 1.97753e7i | −0.654742 | − | 0.378015i | ||||
\(375\) | 719007. | + | 2.68337e6i | 0.0136345 | + | 0.0508847i | ||||
\(376\) | − | 2.47675e7i | − | 0.465928i | ||||||
\(377\) | 2.34956e6 | + | 2.89757e7i | 0.0438492 | + | 0.540766i | ||||
\(378\) | 2.04494e7 | 0.378621 | ||||||||
\(379\) | 2.24848e7 | − | 6.02479e6i | 0.413021 | − | 0.110669i | −0.0463244 | − | 0.998926i | \(-0.514751\pi\) |
0.459345 | + | 0.888258i | \(0.348084\pi\) | |||||||
\(380\) | 1.82981e7 | − | 3.16932e7i | 0.333468 | − | 0.577584i | ||||
\(381\) | −7.69763e6 | + | 4.44423e6i | −0.139182 | + | 0.0803566i | ||||
\(382\) | 5.24558e7 | + | 5.24558e7i | 0.941031 | + | 0.941031i | ||||
\(383\) | −1.88742e7 | + | 7.04396e7i | −0.335949 | + | 1.25378i | 0.566888 | + | 0.823795i | \(0.308147\pi\) |
−0.902837 | + | 0.429983i | \(0.858520\pi\) | |||||||
\(384\) | −8.62287e6 | − | 2.31049e6i | −0.152285 | − | 0.0408047i | ||||
\(385\) | −6.76461e6 | + | 6.76461e6i | −0.118539 | + | 0.118539i | ||||
\(386\) | −4.90013e7 | − | 8.48727e7i | −0.852011 | − | 1.47573i | ||||
\(387\) | −2.78857e7 | − | 1.60998e7i | −0.481114 | − | 0.277771i | ||||
\(388\) | 3.06284e7 | + | 1.14307e8i | 0.524360 | + | 1.95694i | ||||
\(389\) | − | 1.07448e8i | − | 1.82537i | −0.408666 | − | 0.912684i | \(-0.634006\pi\) | ||
0.408666 | − | 0.912684i | \(-0.365994\pi\) | |||||||
\(390\) | 1.12839e6 | − | 2.38022e6i | 0.0190224 | − | 0.0401257i | ||||
\(391\) | 7.45443e7 | 1.24705 | ||||||||
\(392\) | 2.69591e7 | − | 7.22366e6i | 0.447556 | − | 0.119922i | ||||
\(393\) | 5.65364e6 | − | 9.79238e6i | 0.0931430 | − | 0.161328i | ||||
\(394\) | −2.01482e6 | + | 1.16326e6i | −0.0329418 | + | 0.0190189i | ||||
\(395\) | −6.98699e6 | − | 6.98699e6i | −0.113370 | − | 0.113370i | ||||
\(396\) | 1.26757e7 | − | 4.73065e7i | 0.204121 | − | 0.761791i | ||||
\(397\) | −4.47372e7 | − | 1.19873e7i | −0.714986 | − | 0.191580i | −0.117052 | − | 0.993126i | \(-0.537345\pi\) |
−0.597933 | + | 0.801546i | \(0.704011\pi\) | |||||||
\(398\) | −7.67170e7 | + | 7.67170e7i | −1.21687 | + | 1.21687i | ||||
\(399\) | −5.44265e6 | − | 9.42694e6i | −0.0856823 | − | 0.148406i | ||||
\(400\) | −267901. | − | 154672.i | −0.00418595 | − | 0.00241676i | ||||
\(401\) | 1.44648e7 | + | 5.39833e7i | 0.224325 | + | 0.837194i | 0.982674 | + | 0.185344i | \(0.0593400\pi\) |
−0.758348 | + | 0.651850i | \(0.773993\pi\) | |||||||
\(402\) | 1.65530e7i | 0.254799i | ||||||||
\(403\) | 1.85126e7 | + | 3.38574e6i | 0.282847 | + | 0.0517295i | ||||
\(404\) | −2.36648e7 | −0.358887 | ||||||||
\(405\) | −1.75978e7 | + | 4.71530e6i | −0.264906 | + | 0.0709814i | ||||
\(406\) | −3.55259e7 | + | 6.15327e7i | −0.530844 | + | 0.919449i | ||||
\(407\) | 4.59988e7 | − | 2.65574e7i | 0.682281 | − | 0.393915i | ||||
\(408\) | 4.45587e6 | + | 4.45587e6i | 0.0656072 | + | 0.0656072i | ||||
\(409\) | 1.01992e7 | − | 3.80638e7i | 0.149072 | − | 0.556343i | −0.850469 | − | 0.526026i | \(-0.823682\pi\) |
0.999540 | − | 0.0303171i | \(-0.00965171\pi\) | |||||||
\(410\) | −5.21896e7 | − | 1.39842e7i | −0.757238 | − | 0.202901i | ||||
\(411\) | 4.92849e6 | − | 4.92849e6i | 0.0709885 | − | 0.0709885i | ||||
\(412\) | −4.37854e7 | − | 7.58386e7i | −0.626092 | − | 1.08442i | ||||
\(413\) | 3.78799e7 | + | 2.18700e7i | 0.537723 | + | 0.310455i | ||||
\(414\) | 3.86350e7 | + | 1.44188e8i | 0.544478 | + | 2.03202i | ||||
\(415\) | − | 3.30455e7i | − | 0.462347i | ||||||
\(416\) | −2.40890e7 | − | 6.75163e7i | −0.334610 | − | 0.937840i | ||||
\(417\) | −333538. | −0.00459978 | ||||||||
\(418\) | −8.18322e7 | + | 2.19269e7i | −1.12046 | + | 0.300226i | ||||
\(419\) | 1.16420e7 | − | 2.01646e7i | 0.158266 | − | 0.274124i | −0.775978 | − | 0.630760i | \(-0.782743\pi\) |
0.934243 | + | 0.356636i | \(0.116076\pi\) | |||||||
\(420\) | 3.44779e6 | − | 1.99058e6i | 0.0465364 | − | 0.0268678i | ||||
\(421\) | 3.75681e7 | + | 3.75681e7i | 0.503469 | + | 0.503469i | 0.912514 | − | 0.409045i | \(-0.134138\pi\) |
−0.409045 | + | 0.912514i | \(0.634138\pi\) | |||||||
\(422\) | −3.03143e7 | + | 1.13135e8i | −0.403376 | + | 1.50542i | ||||
\(423\) | 3.35986e7 | + | 9.00270e6i | 0.443915 | + | 0.118947i | ||||
\(424\) | −5.32180e6 | + | 5.32180e6i | −0.0698169 | + | 0.0698169i | ||||
\(425\) | −3.35775e7 | − | 5.81580e7i | −0.437403 | − | 0.757605i | ||||
\(426\) | 560891. | + | 323831.i | 0.00725521 | + | 0.00418880i | ||||
\(427\) | −2.30433e7 | − | 8.59988e7i | −0.295979 | − | 1.10461i | ||||
\(428\) | − | 3.80095e7i | − | 0.484798i | ||||||
\(429\) | −3.55154e6 | + | 1.26715e6i | −0.0449827 | + | 0.0160493i | ||||
\(430\) | −2.03715e7 | −0.256223 | ||||||||
\(431\) | −8.54875e7 | + | 2.29063e7i | −1.06775 | + | 0.286104i | −0.749570 | − | 0.661926i | \(-0.769739\pi\) |
−0.318183 | + | 0.948029i | \(0.603073\pi\) | |||||||
\(432\) | −40961.2 | + | 70946.8i | −0.000508067 | + | 0.000879998i | ||||
\(433\) | 5.45440e7 | − | 3.14910e7i | 0.671867 | − | 0.387903i | −0.124917 | − | 0.992167i | \(-0.539866\pi\) |
0.796784 | + | 0.604265i | \(0.206533\pi\) | |||||||
\(434\) | 3.25248e7 | + | 3.25248e7i | 0.397874 | + | 0.397874i | ||||
\(435\) | −317073. | + | 1.18333e6i | −0.00385205 | + | 0.0143760i | ||||
\(436\) | −3.39151e7 | − | 9.08753e6i | −0.409198 | − | 0.109644i | ||||
\(437\) | 1.12908e8 | − | 1.12908e8i | 1.35295 | − | 1.35295i | ||||
\(438\) | 3.80704e6 | + | 6.59399e6i | 0.0453070 | + | 0.0784740i | ||||
\(439\) | 4.53364e7 | + | 2.61750e7i | 0.535862 | + | 0.309380i | 0.743400 | − | 0.668847i | \(-0.233212\pi\) |
−0.207538 | + | 0.978227i | \(0.566545\pi\) | |||||||
\(440\) | −3.07035e6 | − | 1.14587e7i | −0.0360437 | − | 0.134517i | ||||
\(441\) | 3.91973e7i | 0.457025i | ||||||||
\(442\) | −2.39029e7 | + | 1.30697e8i | −0.276811 | + | 1.51355i | ||||
\(443\) | −1.06292e8 | −1.22261 | −0.611306 | − | 0.791395i | \(-0.709355\pi\) | ||||
−0.611306 | + | 0.791395i | \(0.709355\pi\) | |||||||
\(444\) | −2.13507e7 | + | 5.72090e6i | −0.243929 | + | 0.0653605i | ||||
\(445\) | 327393. | − | 567061.i | 0.00371526 | − | 0.00643501i | ||||
\(446\) | 1.08485e8 | − | 6.26340e7i | 1.22283 | − | 0.706001i | ||||
\(447\) | 5.16720e6 | + | 5.16720e6i | 0.0578539 | + | 0.0578539i | ||||
\(448\) | 4.54941e7 | − | 1.69786e8i | 0.505966 | − | 1.88829i | ||||
\(449\) | 8.62989e7 | + | 2.31237e7i | 0.953380 | + | 0.255457i | 0.701796 | − | 0.712378i | \(-0.252382\pi\) |
0.251584 | + | 0.967835i | \(0.419048\pi\) | |||||||
\(450\) | 9.50899e7 | − | 9.50899e7i | 1.04351 | − | 1.04351i | ||||
\(451\) | 3.86730e7 | + | 6.69836e7i | 0.421578 | + | 0.730195i | ||||
\(452\) | 2.06341e8 | + | 1.19131e8i | 2.23444 | + | 1.29006i | ||||
\(453\) | 2.58993e6 | + | 9.66576e6i | 0.0278608 | + | 0.103978i | ||||
\(454\) | − | 1.46642e8i | − | 1.56708i | ||||||
\(455\) | 2.90396e7 | + | 1.37668e7i | 0.308287 | + | 0.146150i | ||||
\(456\) | 1.34981e7 | 0.142357 | ||||||||
\(457\) | −2.83776e7 | + | 7.60377e6i | −0.297323 | + | 0.0796673i | −0.404397 | − | 0.914584i | \(-0.632518\pi\) |
0.107074 | + | 0.994251i | \(0.465852\pi\) | |||||||
\(458\) | −1.61255e7 | + | 2.79301e7i | −0.167848 | + | 0.290721i | ||||
\(459\) | −1.54017e7 | + | 8.89218e6i | −0.159269 | + | 0.0919539i | ||||
\(460\) | 4.12948e7 | + | 4.12948e7i | 0.424251 | + | 0.424251i | ||||
\(461\) | 1.04941e7 | − | 3.91645e7i | 0.107113 | − | 0.399751i | −0.891463 | − | 0.453093i | \(-0.850321\pi\) |
0.998576 | + | 0.0533418i | \(0.0169873\pi\) | |||||||
\(462\) | −8.90223e6 | − | 2.38535e6i | −0.0902761 | − | 0.0241894i | ||||
\(463\) | −7.77336e6 | + | 7.77336e6i | −0.0783188 | + | 0.0783188i | −0.745181 | − | 0.666862i | \(-0.767637\pi\) |
0.666862 | + | 0.745181i | \(0.267637\pi\) | |||||||
\(464\) | −142320. | − | 246506.i | −0.00142467 | − | 0.00246759i | ||||
\(465\) | 686829. | + | 396541.i | 0.00683109 | + | 0.00394393i | ||||
\(466\) | −2.33317e7 | − | 8.70752e7i | −0.230563 | − | 0.860472i | ||||
\(467\) | 1.44943e8i | 1.42314i | 0.702615 | + | 0.711570i | \(0.252016\pi\) | ||||
−0.702615 | + | 0.711570i | \(0.747984\pi\) | |||||||
\(468\) | −1.63987e8 | + | 1.32972e7i | −1.59982 | + | 0.129725i | ||||
\(469\) | −2.01953e8 | −1.95763 | ||||||||
\(470\) | 2.12566e7 | − | 5.69569e6i | 0.204739 | − | 0.0548596i | ||||
\(471\) | −5.54856e6 | + | 9.61039e6i | −0.0531028 | + | 0.0919768i | ||||
\(472\) | −4.69724e7 | + | 2.71195e7i | −0.446701 | + | 0.257903i | ||||
\(473\) | 2.06208e7 | + | 2.06208e7i | 0.194860 | + | 0.194860i | ||||
\(474\) | 2.46376e6 | − | 9.19488e6i | 0.0231347 | − | 0.0863398i | ||||
\(475\) | −1.38947e8 | − | 3.72307e7i | −1.29649 | − | 0.347393i | ||||
\(476\) | −1.41992e8 | + | 1.41992e8i | −1.31657 | + | 1.31657i | ||||
\(477\) | −5.28491e6 | − | 9.15374e6i | −0.0486948 | − | 0.0843419i | ||||
\(478\) | −1.28258e8 | − | 7.40496e7i | −1.17436 | − | 0.678015i | ||||
\(479\) | 3.29660e7 | + | 1.23031e8i | 0.299958 | + | 1.11946i | 0.937200 | + | 0.348793i | \(0.113408\pi\) |
−0.637242 | + | 0.770664i | \(0.719925\pi\) | |||||||
\(480\) | − | 3.02089e6i | − | 0.0273156i | ||||||
\(481\) | −1.35954e8 | − | 1.15560e8i | −1.22168 | − | 1.03842i | ||||
\(482\) | −3.78685e7 | −0.338172 | ||||||||
\(483\) | 1.67787e7 | − | 4.49585e6i | 0.148908 | − | 0.0398997i | ||||
\(484\) | 6.96815e7 | − | 1.20692e8i | 0.614584 | − | 1.06449i | ||||
\(485\) | −3.48633e7 | + | 2.01283e7i | −0.305593 | + | 0.176434i | ||||
\(486\) | −3.78331e7 | − | 3.78331e7i | −0.329582 | − | 0.329582i | ||||
\(487\) | −3.76889e7 | + | 1.40657e8i | −0.326307 | + | 1.21779i | 0.586685 | + | 0.809815i | \(0.300433\pi\) |
−0.912992 | + | 0.407978i | \(0.866234\pi\) | |||||||
\(488\) | 1.06642e8 | + | 2.85745e7i | 0.917628 | + | 0.245878i | ||||
\(489\) | 8.44424e6 | − | 8.44424e6i | 0.0722161 | − | 0.0722161i | ||||
\(490\) | 1.23994e7 | + | 2.14763e7i | 0.105393 | + | 0.182546i | ||||
\(491\) | 9.25186e7 | + | 5.34156e7i | 0.781600 | + | 0.451257i | 0.836997 | − | 0.547208i | \(-0.184309\pi\) |
−0.0553972 | + | 0.998464i | \(0.517643\pi\) | |||||||
\(492\) | −8.33079e6 | − | 3.10909e7i | −0.0699505 | − | 0.261059i | ||||
\(493\) | − | 6.17921e7i | − | 0.515694i | ||||||
\(494\) | 1.61755e8 | + | 2.34164e8i | 1.34176 | + | 1.94240i | ||||
\(495\) | 1.66604e7 | 0.137363 | ||||||||
\(496\) | −177990. | + | 47692.3i | −0.00145865 | + | 0.000390844i | ||||
\(497\) | −3.95086e6 | + | 6.84309e6i | −0.0321827 | + | 0.0557420i | ||||
\(498\) | 2.75702e7 | − | 1.59177e7i | 0.223230 | − | 0.128882i | ||||
\(499\) | −5.23268e7 | − | 5.23268e7i | −0.421136 | − | 0.421136i | 0.464459 | − | 0.885595i | \(-0.346249\pi\) |
−0.885595 | + | 0.464459i | \(0.846249\pi\) | |||||||
\(500\) | 2.84118e7 | − | 1.06034e8i | 0.227295 | − | 0.848275i | ||||
\(501\) | −8.00782e6 | − | 2.14569e6i | −0.0636797 | − | 0.0170629i | ||||
\(502\) | 6.17209e7 | − | 6.17209e7i | 0.487889 | − | 0.487889i | ||||
\(503\) | 5.19728e7 | + | 9.00196e7i | 0.408388 | + | 0.707348i | 0.994709 | − | 0.102730i | \(-0.0327579\pi\) |
−0.586322 | + | 0.810078i | \(0.699425\pi\) | |||||||
\(504\) | −1.33328e8 | − | 7.69771e7i | −1.04143 | − | 0.601270i | ||||
\(505\) | −2.08357e6 | − | 7.77598e6i | −0.0161783 | − | 0.0603783i | ||||
\(506\) | − | 1.35194e8i | − | 1.04353i | ||||||
\(507\) | 8.01850e6 | + | 9.80659e6i | 0.0615275 | + | 0.0752479i | ||||
\(508\) | 3.51231e8 | 2.67918 | ||||||||
\(509\) | −6.66679e6 | + | 1.78636e6i | −0.0505549 | + | 0.0135462i | −0.284008 | − | 0.958822i | \(-0.591664\pi\) |
0.233453 | + | 0.972368i | \(0.424998\pi\) | |||||||
\(510\) | −2.79953e6 | + | 4.84893e6i | −0.0211045 | + | 0.0365540i | ||||
\(511\) | −8.04491e7 | + | 4.64473e7i | −0.602919 | + | 0.348095i | ||||
\(512\) | 996858. | + | 996858.i | 0.00742717 | + | 0.00742717i | ||||
\(513\) | −9.85964e6 | + | 3.67967e7i | −0.0730313 | + | 0.272556i | ||||
\(514\) | 3.37897e8 | + | 9.05393e7i | 2.48826 | + | 0.666727i | ||||
\(515\) | 2.10646e7 | − | 2.10646e7i | 0.154217 | − | 0.154217i | ||||
\(516\) | −6.06796e6 | − | 1.05100e7i | −0.0441666 | − | 0.0764988i | ||||
\(517\) | −2.72821e7 | − | 1.57513e7i | −0.197427 | − | 0.113985i | ||||
\(518\) | −1.12872e8 | − | 4.21243e8i | −0.812074 | − | 3.03070i | ||||
\(519\) | 1.01824e7i | 0.0728361i | ||||||||
\(520\) | −3.27892e7 | + | 2.26500e7i | −0.233196 | + | 0.161086i | ||||
\(521\) | 1.25619e8 | 0.888264 | 0.444132 | − | 0.895961i | \(-0.353512\pi\) | ||||
0.444132 | + | 0.895961i | \(0.353512\pi\) | |||||||
\(522\) | 1.19522e8 | − | 3.20258e7i | 0.840303 | − | 0.225158i | ||||
\(523\) | 1.38607e7 | − | 2.40074e7i | 0.0968903 | − | 0.167819i | −0.813506 | − | 0.581557i | \(-0.802444\pi\) |
0.910396 | + | 0.413738i | \(0.135777\pi\) | |||||||
\(524\) | −3.86950e8 | + | 2.23406e8i | −2.68943 | + | 1.55274i | ||||
\(525\) | −1.10653e7 | − | 1.10653e7i | −0.0764693 | − | 0.0764693i | ||||
\(526\) | −3.49868e7 | + | 1.30573e8i | −0.240407 | + | 0.897212i | ||||
\(527\) | −3.86395e7 | − | 1.03534e7i | −0.263997 | − | 0.0707379i | ||||
\(528\) | 26107.3 | − | 26107.3i | 0.000177362 | − | 0.000177362i | ||||
\(529\) | 5.33870e7 | + | 9.24689e7i | 0.360635 | + | 0.624639i | ||||
\(530\) | −5.79124e6 | − | 3.34358e6i | −0.0388995 | − | 0.0224586i | ||||
\(531\) | −1.97153e7 | − | 7.35785e7i | −0.131680 | − | 0.491436i | ||||
\(532\) | 4.30136e8i | 2.85674i | ||||||||
\(533\) | 1.68278e8 | − | 1.97977e8i | 1.11134 | − | 1.30747i | ||||
\(534\) | 630806. | 0.00414259 | ||||||||
\(535\) | 1.24895e7 | − | 3.34655e6i | 0.0815612 | − | 0.0218542i | ||||
\(536\) | 1.25214e8 | − | 2.16877e8i | 0.813128 | − | 1.40838i | ||||
\(537\) | −2.30165e6 | + | 1.32886e6i | −0.0148634 | + | 0.00858136i | ||||
\(538\) | −2.80902e8 | − | 2.80902e8i | −1.80388 | − | 1.80388i | ||||
\(539\) | 9.18805e6 | − | 3.42903e7i | 0.0586755 | − | 0.218980i | ||||
\(540\) | −1.34579e7 | − | 3.60604e6i | −0.0854668 | − | 0.0229007i | ||||
\(541\) | 8.17036e7 | − | 8.17036e7i | 0.516000 | − | 0.516000i | −0.400359 | − | 0.916359i | \(-0.631114\pi\) |
0.916359 | + | 0.400359i | \(0.131114\pi\) | |||||||
\(542\) | 5.79280e7 | + | 1.00334e8i | 0.363823 | + | 0.630160i | ||||
\(543\) | 8.76787e6 | + | 5.06213e6i | 0.0547639 | + | 0.0316180i | ||||
\(544\) | 3.94367e7 | + | 1.47180e8i | 0.244965 | + | 0.914221i | ||||
\(545\) | − | 1.19442e7i | − | 0.0737852i | ||||||
\(546\) | 2.50230e6 | + | 3.08593e7i | 0.0153731 | + | 0.189587i | ||||
\(547\) | 3.62271e7 | 0.221346 | 0.110673 | − | 0.993857i | \(-0.464699\pi\) | ||||
0.110673 | + | 0.993857i | \(0.464699\pi\) | |||||||
\(548\) | −2.66035e8 | + | 7.12838e7i | −1.61658 | + | 0.433161i | ||||
\(549\) | −7.75260e7 | + | 1.34279e8i | −0.468522 | + | 0.811505i | ||||
\(550\) | −1.05475e8 | + | 6.08962e7i | −0.633961 | + | 0.366018i | ||||
\(551\) | −9.35932e7 | − | 9.35932e7i | −0.559487 | − | 0.559487i | ||||
\(552\) | −5.57500e6 | + | 2.08062e7i | −0.0331458 | + | 0.123702i | ||||
\(553\) | 1.12181e8 | + | 3.00588e7i | 0.663352 | + | 0.177745i | ||||
\(554\) | −2.01859e8 | + | 2.01859e8i | −1.18719 | + | 1.18719i | ||||
\(555\) | −3.75965e6 | − | 6.51190e6i | −0.0219922 | − | 0.0380915i | ||||
\(556\) | 1.14141e7 | + | 6.58994e6i | 0.0664076 | + | 0.0383404i | ||||
\(557\) | −4.42041e7 | − | 1.64972e8i | −0.255798 | − | 0.954652i | −0.967645 | − | 0.252317i | \(-0.918808\pi\) |
0.711847 | − | 0.702335i | \(-0.247859\pi\) | |||||||
\(558\) | − | 8.01048e7i | − | 0.461058i | ||||||
\(559\) | 4.19657e7 | − | 8.85224e7i | 0.240248 | − | 0.506778i | ||||
\(560\) | −314668. | −0.00179180 | ||||||||
\(561\) | 7.74206e6 | − | 2.07448e6i | 0.0438498 | − | 0.0117495i | ||||
\(562\) | −1.55928e8 | + | 2.70076e8i | −0.878449 | + | 1.52152i | ||||
\(563\) | 1.47839e8 | − | 8.53549e7i | 0.828445 | − | 0.478303i | −0.0248749 | − | 0.999691i | \(-0.507919\pi\) |
0.853320 | + | 0.521388i | \(0.174585\pi\) | |||||||
\(564\) | 9.27011e6 | + | 9.27011e6i | 0.0516711 | + | 0.0516711i | ||||
\(565\) | −2.09778e7 | + | 7.82901e7i | −0.116309 | + | 0.434072i | ||||
\(566\) | −1.20299e8 | − | 3.22341e7i | −0.663459 | − | 0.177773i | ||||
\(567\) | 1.51415e8 | − | 1.51415e8i | 0.830653 | − | 0.830653i | ||||
\(568\) | −4.89920e6 | − | 8.48566e6i | −0.0267350 | − | 0.0463064i | ||||
\(569\) | −1.04701e8 | − | 6.04490e7i | −0.568347 | − | 0.328135i | 0.188142 | − | 0.982142i | \(-0.439753\pi\) |
−0.756489 | + | 0.654007i | \(0.773087\pi\) | |||||||
\(570\) | 3.10412e6 | + | 1.15847e7i | 0.0167615 | + | 0.0625548i | ||||
\(571\) | 1.76317e8i | 0.947080i | 0.880772 | + | 0.473540i | \(0.157024\pi\) | ||||
−0.880772 | + | 0.473540i | \(0.842976\pi\) | |||||||
\(572\) | 1.46574e8 | + | 2.68068e7i | 0.783195 | + | 0.143237i | ||||
\(573\) | −1.50338e7 | −0.0799105 | ||||||||
\(574\) | 6.13415e8 | − | 1.64364e8i | 3.24354 | − | 0.869103i | ||||
\(575\) | 1.14776e8 | − | 1.98798e8i | 0.603736 | − | 1.04570i | ||||
\(576\) | −2.65105e8 | + | 1.53059e8i | −1.38724 | + | 0.800922i | ||||
\(577\) | −5.78495e7 | − | 5.78495e7i | −0.301142 | − | 0.301142i | 0.540318 | − | 0.841461i | \(-0.318304\pi\) |
−0.841461 | + | 0.540318i | \(0.818304\pi\) | |||||||
\(578\) | −7.80861e6 | + | 2.91421e7i | −0.0404380 | + | 0.150917i | ||||
\(579\) | 1.91840e7 | + | 5.14035e6i | 0.0988335 | + | 0.0264824i | ||||
\(580\) | 3.42306e7 | − | 3.42306e7i | 0.175441 | − | 0.175441i | ||||
\(581\) | 1.94202e8 | + | 3.36367e8i | 0.990204 | + | 1.71508i | ||||
\(582\) | −3.35865e7 | − | 1.93912e7i | −0.170371 | − | 0.0983639i | ||||
\(583\) | 2.47762e6 | + | 9.24661e6i | 0.0125034 | + | 0.0466634i | ||||
\(584\) | − | 1.15193e8i | − | 0.578343i | ||||||
\(585\) | −1.88076e7 | − | 5.27134e7i | −0.0939430 | − | 0.263302i | ||||
\(586\) | 1.54501e7 | 0.0767781 | ||||||||
\(587\) | −1.68309e8 | + | 4.50984e7i | −0.832135 | + | 0.222970i | −0.649645 | − | 0.760238i | \(-0.725082\pi\) |
−0.182490 | + | 0.983208i | \(0.558416\pi\) | |||||||
\(588\) | −7.38668e6 | + | 1.27941e7i | −0.0363343 | + | 0.0629329i | ||||
\(589\) | −7.42070e7 | + | 4.28434e7i | −0.363161 | + | 0.209671i | ||||
\(590\) | −3.40773e7 | − | 3.40773e7i | −0.165924 | − | 0.165924i | ||||
\(591\) | 122028. | − | 455415.i | 0.000591150 | − | 0.00220620i | ||||
\(592\) | 1.68754e6 | + | 452175.i | 0.00813372 | + | 0.00217942i | ||||
\(593\) | −2.18905e8 | + | 2.18905e8i | −1.04977 | + | 1.04977i | −0.0510709 | + | 0.998695i | \(0.516263\pi\) |
−0.998695 | + | 0.0510709i | \(0.983737\pi\) | |||||||
\(594\) | 1.61269e7 | + | 2.79325e7i | 0.0769468 | + | 0.133276i | ||||
\(595\) | −5.91588e7 | − | 3.41553e7i | −0.280846 | − | 0.162147i | ||||
\(596\) | −7.47365e7 | − | 2.78920e8i | −0.353016 | − | 1.31747i | ||||
\(597\) | − | 2.19870e7i | − | 0.103334i | ||||||
\(598\) | −4.27751e8 | + | 1.52617e8i | −2.00026 | + | 0.713671i | ||||
\(599\) | −3.89795e8 | −1.81366 | −0.906829 | − | 0.421499i | \(-0.861504\pi\) | ||||
−0.906829 | + | 0.421499i | \(0.861504\pi\) | |||||||
\(600\) | 1.87438e7 | − | 5.02238e6i | 0.0867768 | − | 0.0232518i | ||||
\(601\) | 1.20190e8 | − | 2.08175e8i | 0.553662 | − | 0.958971i | −0.444344 | − | 0.895856i | \(-0.646563\pi\) |
0.998006 | − | 0.0631150i | \(-0.0201035\pi\) | |||||||
\(602\) | 2.07360e8 | − | 1.19719e8i | 0.950462 | − | 0.548750i | ||||
\(603\) | 2.48693e8 | + | 2.48693e8i | 1.13426 | + | 1.13426i | ||||
\(604\) | 1.02342e8 | − | 3.81946e8i | 0.464455 | − | 1.73337i | ||||
\(605\) | 4.57931e7 | + | 1.22702e7i | 0.206792 | + | 0.0554098i | ||||
\(606\) | 5.48395e6 | − | 5.48395e6i | 0.0246420 | − | 0.0246420i | ||||
\(607\) | −7.71816e7 | − | 1.33682e8i | −0.345102 | − | 0.597735i | 0.640270 | − | 0.768150i | \(-0.278822\pi\) |
−0.985372 | + | 0.170415i | \(0.945489\pi\) | |||||||
\(608\) | 2.82658e8 | + | 1.63193e8i | 1.25762 | + | 0.726089i | ||||
\(609\) | −3.72675e6 | − | 1.39084e7i | −0.0164998 | − | 0.0615780i | ||||
\(610\) | 9.80958e7i | 0.432176i | ||||||||
\(611\) | −1.90390e7 | + | 1.04102e8i | −0.0834680 | + | 0.456388i | ||||
\(612\) | 3.49710e8 | 1.52565 | ||||||||
\(613\) | −1.48913e8 | + | 3.99012e7i | −0.646475 | + | 0.173222i | −0.567135 | − | 0.823625i | \(-0.691948\pi\) |
−0.0793403 | + | 0.996848i | \(0.525281\pi\) | |||||||
\(614\) | 4.39710e7 | − | 7.61600e7i | 0.189960 | − | 0.329020i | ||||
\(615\) | 9.48265e6 | − | 5.47481e6i | 0.0407666 | − | 0.0235366i | ||||
\(616\) | 9.85932e7 | + | 9.85932e7i | 0.421798 | + | 0.421798i | ||||
\(617\) | 6.25487e6 | − | 2.33435e7i | 0.0266295 | − | 0.0993825i | −0.951332 | − | 0.308168i | \(-0.900284\pi\) |
0.977962 | + | 0.208785i | \(0.0669509\pi\) | |||||||
\(618\) | 2.77210e7 | + | 7.42783e6i | 0.117448 | + | 0.0314700i | ||||
\(619\) | 2.54367e8 | − | 2.54367e8i | 1.07248 | − | 1.07248i | 0.0753200 | − | 0.997159i | \(-0.476002\pi\) |
0.997159 | − | 0.0753200i | \(-0.0239978\pi\) | |||||||
\(620\) | −1.56695e7 | − | 2.71403e7i | −0.0657475 | − | 0.113878i | ||||
\(621\) | −5.26466e7 | − | 3.03956e7i | −0.219834 | − | 0.126922i | ||||
\(622\) | 2.34511e7 | + | 8.75208e7i | 0.0974524 | + | 0.363697i | ||||
\(623\) | 7.69608e6i | 0.0318277i | ||||||||
\(624\) | −112075. | − | 53131.3i | −0.000461270 | − | 0.000218674i | ||||
\(625\) | −1.87351e8 | −0.767391 | ||||||||
\(626\) | 5.76147e7 | − | 1.54378e7i | 0.234861 | − | 0.0629308i | ||||
\(627\) | 8.58439e6 | − | 1.48686e7i | 0.0348262 | − | 0.0603208i | ||||
\(628\) | 3.79758e8 | − | 2.19254e8i | 1.53330 | − | 0.885253i | ||||
\(629\) | 2.68183e8 | + | 2.68183e8i | 1.07765 | + | 1.07765i | ||||
\(630\) | 3.54043e7 | − | 1.32130e8i | 0.141590 | − | 0.528423i | ||||
\(631\) | 5.46658e7 | + | 1.46477e7i | 0.217584 | + | 0.0583015i | 0.365964 | − | 0.930629i | \(-0.380739\pi\) |
−0.148380 | + | 0.988930i | \(0.547406\pi\) | |||||||
\(632\) | −1.01834e8 | + | 1.01834e8i | −0.403407 | + | 0.403407i | ||||
\(633\) | −1.18681e7 | − | 2.05561e7i | −0.0467917 | − | 0.0810457i | ||||
\(634\) | 1.77003e8 | + | 1.02193e8i | 0.694566 | + | 0.401008i | ||||
\(635\) | 3.09241e7 | + | 1.15410e8i | 0.120775 | + | 0.450738i | ||||
\(636\) | − | 3.98374e6i | − | 0.0154853i | ||||||
\(637\) | −1.18866e8 | + | 9.63853e6i | −0.459875 | + | 0.0372900i | ||||
\(638\) | −1.12066e8 | −0.431531 | ||||||||
\(639\) | 1.32921e7 | − | 3.56161e6i | 0.0509438 | − | 0.0136503i | ||||
\(640\) | −6.00002e7 | + | 1.03923e8i | −0.228883 | + | 0.396437i | ||||
\(641\) | 1.29789e8 | − | 7.49340e7i | 0.492794 | − | 0.284515i | −0.232939 | − | 0.972491i | \(-0.574834\pi\) |
0.725733 | + | 0.687977i | \(0.241501\pi\) | |||||||
\(642\) | 8.80812e6 | + | 8.80812e6i | 0.0332873 | + | 0.0332873i | ||||
\(643\) | −7.50428e7 | + | 2.80064e8i | −0.282277 | + | 1.05347i | 0.668528 | + | 0.743687i | \(0.266925\pi\) |
−0.950806 | + | 0.309787i | \(0.899742\pi\) | |||||||
\(644\) | −6.63018e8 | − | 1.77655e8i | −2.48238 | − | 0.665151i | ||||
\(645\) | 2.91922e6 | − | 2.91922e6i | 0.0108790 | − | 0.0108790i | ||||
\(646\) | −3.02469e8 | − | 5.23892e8i | −1.12198 | − | 1.94332i | ||||
\(647\) | −3.12630e8 | − | 1.80497e8i | −1.15430 | − | 0.666435i | −0.204368 | − | 0.978894i | \(-0.565514\pi\) |
−0.949931 | + | 0.312459i | \(0.898847\pi\) | |||||||
\(648\) | 6.87249e7 | + | 2.56485e8i | 0.252574 | + | 0.942620i | ||||
\(649\) | 6.89887e7i | 0.252373i | ||||||||
\(650\) | 3.11743e8 | + | 2.64979e8i | 1.13516 | + | 0.964875i | ||||
\(651\) | −9.32156e6 | −0.0337867 | ||||||||
\(652\) | −4.55812e8 | + | 1.22134e8i | −1.64453 | + | 0.440651i | ||||
\(653\) | −1.36881e8 | + | 2.37084e8i | −0.491589 | + | 0.851457i | −0.999953 | − | 0.00968495i | \(-0.996917\pi\) |
0.508364 | + | 0.861142i | \(0.330250\pi\) | |||||||
\(654\) | 9.96521e6 | − | 5.75341e6i | 0.0356248 | − | 0.0205680i | ||||
\(655\) | −1.07478e8 | − | 1.07478e8i | −0.382467 | − | 0.382467i | ||||
\(656\) | −658459. | + | 2.45740e6i | −0.00233248 | + | 0.00870492i | ||||
\(657\) | 1.56265e8 | + | 4.18712e7i | 0.551019 | + | 0.147645i | ||||
\(658\) | −1.82897e8 | + | 1.82897e8i | −0.641989 | + | 0.641989i | ||||
\(659\) | −1.69995e8 | − | 2.94439e8i | −0.593990 | − | 1.02882i | −0.993689 | − | 0.112174i | \(-0.964218\pi\) |
0.399698 | − | 0.916647i | \(-0.369115\pi\) | |||||||
\(660\) | 5.43801e6 | + | 3.13964e6i | 0.0189151 | + | 0.0109206i | ||||
\(661\) | 6.71663e7 | + | 2.50668e8i | 0.232566 | + | 0.867950i | 0.979231 | + | 0.202749i | \(0.0649875\pi\) |
−0.746664 | + | 0.665201i | \(0.768346\pi\) | |||||||
\(662\) | − | 8.16791e8i | − | 2.81538i | ||||||
\(663\) | −1.53034e7 | − | 2.21540e7i | −0.0525108 | − | 0.0760171i | ||||
\(664\) | −4.81633e8 | −1.64518 | ||||||||
\(665\) | −1.41338e8 | + | 3.78714e7i | −0.480611 | + | 0.128779i | ||||
\(666\) | −3.79741e8 | + | 6.57730e8i | −1.28548 | + | 2.22651i | ||||
\(667\) | 1.82922e8 | − | 1.05610e8i | 0.616436 | − | 0.355899i | ||||
\(668\) | 2.31644e8 | + | 2.31644e8i | 0.777127 | + | 0.777127i | ||||
\(669\) | −6.57045e6 | + | 2.45212e7i | −0.0219440 | + | 0.0818963i | ||||
\(670\) | 2.14929e8 | + | 5.75900e7i | 0.714612 | + | 0.191480i | ||||
\(671\) | 9.92963e7 | − | 9.92963e7i | 0.328674 | − | 0.328674i | ||||
\(672\) | 1.77531e7 | + | 3.07493e7i | 0.0585015 | + | 0.101328i | ||||
\(673\) | 3.56842e8 | + | 2.06023e8i | 1.17066 | + | 0.675881i | 0.953836 | − | 0.300329i | \(-0.0970965\pi\) |
0.216825 | + | 0.976210i | \(0.430430\pi\) | |||||||
\(674\) | 1.38117e8 | + | 5.15461e8i | 0.451096 | + | 1.68351i | ||||
\(675\) | 5.47652e7i | 0.178071i | ||||||||
\(676\) | −8.06479e7 | − | 4.94021e8i | −0.261068 | − | 1.59921i | ||||
\(677\) | 7.49337e7 | 0.241497 | 0.120748 | − | 0.992683i | \(-0.461471\pi\) | ||||
0.120748 | + | 0.992683i | \(0.461471\pi\) | |||||||
\(678\) | −7.54230e7 | + | 2.02095e7i | −0.242000 | + | 0.0648436i | ||||
\(679\) | 2.36580e8 | − | 4.09768e8i | 0.755733 | − | 1.30897i | ||||
\(680\) | 7.33589e7 | − | 4.23538e7i | 0.233306 | − | 0.134699i | ||||
\(681\) | 2.10137e7 | + | 2.10137e7i | 0.0665366 | + | 0.0665366i | ||||
\(682\) | −1.87770e7 | + | 7.00766e7i | −0.0591933 | + | 0.220912i | ||||
\(683\) | −1.53175e8 | − | 4.10431e7i | −0.480756 | − | 0.128818i | 0.0102984 | − | 0.999947i | \(-0.496722\pi\) |
−0.491055 | + | 0.871129i | \(0.663389\pi\) | |||||||
\(684\) | 5.29687e8 | − | 5.29687e8i | 1.65520 | − | 1.65520i | ||||
\(685\) | −4.68461e7 | − | 8.11399e7i | −0.145748 | − | 0.252443i | ||||
\(686\) | 2.94677e8 | + | 1.70132e8i | 0.912796 | + | 0.527003i | ||||
\(687\) | −1.69160e6 | − | 6.31313e6i | −0.00521707 | − | 0.0194704i | ||||
\(688\) | 959215.i | 0.00294544i | ||||||||
\(689\) | 2.64593e7 | − | 1.82774e7i | 0.0808947 | − | 0.0558802i | ||||
\(690\) | −1.91389e7 | −0.0582599 | ||||||||
\(691\) | −1.22148e8 | + | 3.27294e7i | −0.370212 | + | 0.0991981i | −0.439128 | − | 0.898424i | \(-0.644713\pi\) |
0.0689160 | + | 0.997622i | \(0.478046\pi\) | |||||||
\(692\) | 2.01180e8 | − | 3.48454e8i | 0.607109 | − | 1.05154i | ||||
\(693\) | −1.69585e8 | + | 9.79100e7i | −0.509551 | + | 0.294189i | ||||
\(694\) | −4.00767e8 | − | 4.00767e8i | −1.19898 | − | 1.19898i | ||||
\(695\) | −1.16042e6 | + | 4.33076e6i | −0.00345670 | + | 0.0129006i | ||||
\(696\) | 1.72469e7 | + | 4.62130e6i | 0.0511545 | + | 0.0137068i | ||||
\(697\) | −3.90529e8 | + | 3.90529e8i | −1.15333 | + | 1.15333i | ||||
\(698\) | 1.86519e8 | + | 3.23061e8i | 0.548475 | + | 0.949987i | ||||
\(699\) | 1.58212e7 | + | 9.13439e6i | 0.0463243 | + | 0.0267453i | ||||
\(700\) | 1.60045e8 | + | 5.97296e8i | 0.466603 | + | 1.74139i | ||||
\(701\) | − | 4.53196e8i | − | 1.31562i | −0.753182 | − | 0.657812i | \(-0.771482\pi\) | ||
0.753182 | − | 0.657812i | \(-0.228518\pi\) | |||||||
\(702\) | 7.01730e7 | − | 8.25575e7i | 0.202843 | − | 0.238641i | ||||
\(703\) | 8.12406e8 | 2.33834 | ||||||||
\(704\) | 2.67795e8 | − | 7.17554e7i | 0.767510 | − | 0.205654i | ||||
\(705\) | −2.22987e6 | + | 3.86224e6i | −0.00636372 | + | 0.0110223i | ||||
\(706\) | 7.67651e8 | − | 4.43204e8i | 2.18147 | − | 1.25947i | ||||
\(707\) | 6.69062e7 | + | 6.69062e7i | 0.189325 | + | 0.189325i | ||||
\(708\) | 7.43064e6 | − | 2.77315e7i | 0.0209376 | − | 0.0781401i | ||||
\(709\) | 1.76984e8 | + | 4.74227e7i | 0.496587 | + | 0.133060i | 0.498416 | − | 0.866938i | \(-0.333915\pi\) |
−0.00182856 | + | 0.999998i | \(0.500582\pi\) | |||||||
\(710\) | 6.15613e6 | − | 6.15613e6i | 0.0172002 | − | 0.0172002i | ||||
\(711\) | −1.01129e8 | − | 1.75160e8i | −0.281362 | − | 0.487333i | ||||
\(712\) | −8.26483e6 | − | 4.77170e6i | −0.0228978 | − | 0.0132201i | ||||
\(713\) | −3.53904e7 | − | 1.32079e8i | −0.0976376 | − | 0.364389i | ||||
\(714\) | − | 6.58091e7i | − | 0.180797i | ||||||
\(715\) | 4.09676e6 | + | 5.05229e7i | 0.0112079 | + | 0.138220i | ||||
\(716\) | 1.05021e8 | 0.286112 | ||||||||
\(717\) | 2.89905e7 | − | 7.76797e6i | 0.0786498 | − | 0.0210742i | ||||
\(718\) | −2.41300e8 | + | 4.17943e8i | −0.651903 | + | 1.12913i | ||||
\(719\) | −4.25042e8 | + | 2.45398e8i | −1.14352 | + | 0.660213i | −0.947301 | − | 0.320346i | \(-0.896201\pi\) |
−0.196223 | + | 0.980559i | \(0.562868\pi\) | |||||||
\(720\) | 387495. | + | 387495.i | 0.00103817 | + | 0.00103817i | ||||
\(721\) | −9.06224e7 | + | 3.38207e8i | −0.241785 | + | 0.902354i | ||||
\(722\) | −6.63158e8 | − | 1.77693e8i | −1.76200 | − | 0.472126i | ||||
\(723\) | 5.42653e6 | − | 5.42653e6i | 0.0143584 | − | 0.0143584i | ||||
\(724\) | −2.00032e8 | − | 3.46466e8i | −0.527089 | − | 0.912945i | ||||
\(725\) | −1.64790e8 | − | 9.51413e7i | −0.432430 | − | 0.249664i | ||||
\(726\) | 1.18209e7 | + | 4.41161e7i | 0.0308916 | + | 0.115289i | ||||
\(727\) | 5.71482e7i | 0.148730i | 0.997231 | + | 0.0743651i | \(0.0236930\pi\) | ||||
−0.997231 | + | 0.0743651i | \(0.976307\pi\) | |||||||
\(728\) | 2.00649e8 | − | 4.23247e8i | 0.520046 | − | 1.09698i | ||||
\(729\) | −3.65631e8 | −0.943758 | ||||||||
\(730\) | 9.88635e7 | − | 2.64904e7i | 0.254137 | − | 0.0680958i | ||||
\(731\) | −1.04117e8 | + | 1.80336e8i | −0.266544 | + | 0.461668i | ||||
\(732\) | −5.06094e7 | + | 2.92193e7i | −0.129032 | + | 0.0744967i | ||||
\(733\) | 2.08775e8 | + | 2.08775e8i | 0.530112 | + | 0.530112i | 0.920606 | − | 0.390494i | \(-0.127696\pi\) |
−0.390494 | + | 0.920606i | \(0.627696\pi\) | |||||||
\(734\) | −1.79908e8 | + | 6.71425e8i | −0.454948 | + | 1.69789i | ||||
\(735\) | −4.85436e6 | − | 1.30072e6i | −0.0122256 | − | 0.00327584i | ||||
\(736\) | −3.68291e8 | + | 3.68291e8i | −0.923756 | + | 0.923756i | ||||
\(737\) | −1.59264e8 | − | 2.75854e8i | −0.397847 | − | 0.689091i | ||||
\(738\) | −9.57789e8 | − | 5.52980e8i | −2.38287 | − | 1.37575i | ||||
\(739\) | 5.73400e7 | + | 2.13996e8i | 0.142077 | + | 0.530239i | 0.999868 | + | 0.0162405i | \(0.00516974\pi\) |
−0.857791 | + | 0.513999i | \(0.828164\pi\) | |||||||
\(740\) | 2.97128e8i | 0.733243i | ||||||||
\(741\) | −5.67348e7 | − | 1.03761e7i | −0.139442 | − | 0.0255024i | ||||
\(742\) | 7.85980e7 | 0.192398 | ||||||||
\(743\) | −1.76192e8 | + | 4.72106e7i | −0.429557 | + | 0.115099i | −0.467118 | − | 0.884195i | \(-0.654708\pi\) |
0.0375612 | + | 0.999294i | \(0.488041\pi\) | |||||||
\(744\) | 5.77953e6 | − | 1.00104e7i | 0.0140337 | − | 0.0243072i | ||||
\(745\) | 8.50700e7 | − | 4.91152e7i | 0.205735 | − | 0.118781i | ||||
\(746\) | 4.19736e8 | + | 4.19736e8i | 1.01102 | + | 1.01102i | ||||
\(747\) | 1.75068e8 | − | 6.53364e8i | 0.419997 | − | 1.56745i | ||||
\(748\) | −3.05930e8 | − | 8.19738e7i | −0.731001 | − | 0.195871i | ||||
\(749\) | −1.07462e8 | + | 1.07462e8i | −0.255747 | + | 0.255747i | ||||
\(750\) | 1.79878e7 | + | 3.11559e7i | 0.0426378 | + | 0.0738509i | ||||
\(751\) | −3.85818e8 | − | 2.22752e8i | −0.910882 | − | 0.525898i | −0.0301672 | − | 0.999545i | \(-0.509604\pi\) |
−0.880715 | + | 0.473647i | \(0.842937\pi\) | |||||||
\(752\) | −268188. | − | 1.00089e6i | −0.000630645 | − | 0.00235360i | ||||
\(753\) | 1.76891e7i | 0.0414306i | ||||||||
\(754\) | 1.26509e8 | + | 3.54576e8i | 0.295125 | + | 0.827171i | ||||
\(755\) | 1.34514e8 | 0.312555 | ||||||||
\(756\) | 1.58179e8 | − | 4.23840e7i | 0.366086 | − | 0.0980926i | ||||
\(757\) | 2.61550e8 | − | 4.53018e8i | 0.602930 | − | 1.04431i | −0.389445 | − | 0.921050i | \(-0.627333\pi\) |
0.992375 | − | 0.123255i | \(-0.0393334\pi\) | |||||||
\(758\) | 2.61065e8 | − | 1.50726e8i | 0.599433 | − | 0.346083i | ||||
\(759\) | 1.93731e7 | + | 1.93731e7i | 0.0443072 | + | 0.0443072i | ||||
\(760\) | 4.69618e7 | − | 1.75264e8i | 0.106980 | − | 0.399256i | ||||
\(761\) | 3.46101e8 | + | 9.27376e7i | 0.785325 | + | 0.210427i | 0.629131 | − | 0.777299i | \(-0.283411\pi\) |
0.156194 | + | 0.987726i | \(0.450078\pi\) | |||||||
\(762\) | −8.13923e7 | + | 8.13923e7i | −0.183958 | + | 0.183958i | ||||
\(763\) | 7.01938e7 | + | 1.21579e8i | 0.158025 | + | 0.273707i | ||||
\(764\) | 5.14475e8 | + | 2.97032e8i | 1.15368 | + | 0.666076i | ||||
\(765\) | 3.07903e7 | + | 1.14911e8i | 0.0687747 | + | 0.256671i | ||||
\(766\) | 9.44377e8i | 2.10116i | ||||||||
\(767\) | 2.18279e8 | − | 7.78796e7i | 0.483756 | − | 0.172599i | ||||
\(768\) | −4.44037e7 | −0.0980247 | ||||||||
\(769\) | 5.81914e8 | − | 1.55924e8i | 1.27962 | − | 0.342872i | 0.445909 | − | 0.895078i | \(-0.352880\pi\) |
0.833708 | + | 0.552206i | \(0.186214\pi\) | |||||||
\(770\) | −6.19441e7 | + | 1.07290e8i | −0.135684 | + | 0.235011i | ||||
\(771\) | −6.13946e7 | + | 3.54462e7i | −0.133958 | + | 0.0773404i | ||||
\(772\) | −5.54941e8 | − | 5.54941e8i | −1.20613 | − | 1.20613i | ||||
\(773\) | 1.65831e8 | − | 6.18891e8i | 0.359028 | − | 1.33991i | −0.516312 | − | 0.856401i | \(-0.672695\pi\) |
0.875339 | − | 0.483509i | \(-0.160638\pi\) | |||||||
\(774\) | −4.02778e8 | − | 1.07924e8i | −0.868647 | − | 0.232753i | ||||
\(775\) | −8.71042e7 | + | 8.71042e7i | −0.187126 | + | 0.187126i | ||||
\(776\) | 2.93367e8 | + | 5.08127e8i | 0.627807 | + | 1.08739i | ||||
\(777\) | 7.65382e7 | + | 4.41893e7i | 0.163160 | + | 0.0942007i | ||||
\(778\) | −3.60137e8 | − | 1.34405e9i | −0.764766 | − | 2.85415i | ||||
\(779\) | 1.18303e9i | 2.50255i | ||||||||
\(780\) | 3.79494e6 | − | 2.07501e7i | 0.00799690 | − | 0.0437256i | ||||
\(781\) | −1.24629e7 | −0.0261618 | ||||||||
\(782\) | 9.32460e8 | − | 2.49852e8i | 1.94989 | − | 0.522471i | ||||
\(783\) | −2.51958e7 | + | 4.36404e7i | −0.0524860 | + | 0.0909084i | ||||
\(784\) | 1.01124e6 | − | 583837.i | 0.00209848 | − | 0.00121156i | ||||
\(785\) | 1.05480e8 | + | 1.05480e8i | 0.218053 | + | 0.218053i | ||||
\(786\) | 3.78989e7 | − | 1.41440e8i | 0.0780474 | − | 0.291277i | ||||
\(787\) | 1.35170e8 | + | 3.62188e7i | 0.277305 | + | 0.0743035i | 0.394791 | − | 0.918771i | \(-0.370817\pi\) |
−0.117486 | + | 0.993074i | \(0.537484\pi\) | |||||||
\(788\) | −1.31739e7 | + | 1.31739e7i | −0.0269238 | + | 0.0269238i | ||||
\(789\) | −1.36974e7 | − | 2.37245e7i | −0.0278873 | − | 0.0483022i | ||||
\(790\) | −1.10817e8 | − | 6.39805e7i | −0.224764 | − | 0.129768i | ||||
\(791\) | −2.46564e8 | − | 9.20190e8i | −0.498196 | − | 1.85929i | ||||
\(792\) | − | 2.42823e8i | − | 0.488782i | ||||||
\(793\) | −4.26266e8 | − | 2.02079e8i | −0.854793 | − | 0.405231i | ||||
\(794\) | −5.99787e8 | −1.19822 | ||||||||
\(795\) | 1.30901e6 | − | 350749.i | 0.00260521 | − | 0.000698063i | ||||
\(796\) | −4.34412e8 | + | 7.52423e8i | −0.861316 | + | 1.49184i | ||||
\(797\) | −6.95299e8 | + | 4.01431e8i | −1.37340 | + | 0.792932i | −0.991354 | − | 0.131212i | \(-0.958113\pi\) |
−0.382044 | + | 0.924144i | \(0.624780\pi\) | |||||||
\(798\) | −9.96775e7 | − | 9.96775e7i | −0.196150 | − | 0.196150i | ||||
\(799\) | 5.82203e7 | − | 2.17281e8i | 0.114139 | − | 0.425973i | ||||
\(800\) | 4.53225e8 | + | 1.21441e8i | 0.885206 | + | 0.237190i | ||||
\(801\) | 9.47726e6 | − | 9.47726e6i | 0.0184410 | − | 0.0184410i | ||||
\(802\) | 3.61874e8 | + | 6.26784e8i | 0.701511 | + | 1.21505i | ||||
\(803\) | −1.26888e8 | − | 7.32588e7i | −0.245061 | − | 0.141486i | ||||
\(804\) | 3.43081e7 | + | 1.28040e8i | 0.0660129 | + | 0.246363i | ||||
\(805\) | − | 2.33502e8i | − | 0.447613i | ||||||
\(806\) | 2.42918e8 | − | 1.96976e7i | 0.463933 | − | 0.0376191i | ||||
\(807\) | 8.05062e7 | 0.153182 | ||||||||
\(808\) | −1.13334e8 | + | 3.03677e7i | −0.214845 | + | 0.0575675i | ||||
\(809\) | 4.03049e8 | − | 6.98102e8i | 0.761224 | − | 1.31848i | −0.180996 | − | 0.983484i | \(-0.557932\pi\) |
0.942220 | − | 0.334995i | \(-0.108735\pi\) | |||||||
\(810\) | −2.04323e8 | + | 1.17966e8i | −0.384469 | + | 0.221973i | ||||
\(811\) | 3.56371e8 | + | 3.56371e8i | 0.668098 | + | 0.668098i | 0.957275 | − | 0.289178i | \(-0.0933818\pi\) |
−0.289178 | + | 0.957275i | \(0.593382\pi\) | |||||||
\(812\) | −1.47264e8 | + | 5.49596e8i | −0.275060 | + | 1.02654i | ||||
\(813\) | −2.26788e7 | − | 6.07677e6i | −0.0422036 | − | 0.0113084i | ||||
\(814\) | 4.86377e8 | − | 4.86377e8i | 0.901778 | − | 0.901778i | ||||
\(815\) | −8.02640e7 | − | 1.39021e8i | −0.148268 | − | 0.256808i | ||||
\(816\) | 228317. | + | 131819.i | 0.000420211 | + | 0.000242609i | ||||
\(817\) | 1.15445e8 | + | 4.30846e8i | 0.211694 | + | 0.790052i | ||||
\(818\) | − | 5.10318e8i | − | 0.932354i | ||||||
\(819\) | 5.01226e8 | + | 4.26037e8i | 0.912394 | + | 0.775525i | ||||
\(820\) | −4.32678e8 | −0.784736 | ||||||||
\(821\) | 4.65527e8 | − | 1.24737e8i | 0.841230 | − | 0.225407i | 0.187623 | − | 0.982241i | \(-0.439922\pi\) |
0.653607 | + | 0.756834i | \(0.273255\pi\) | |||||||
\(822\) | 4.51306e7 | − | 7.81684e7i | 0.0812560 | − | 0.140739i | ||||
\(823\) | 8.02665e8 | − | 4.63419e8i | 1.43991 | − | 0.831331i | 0.442065 | − | 0.896983i | \(-0.354246\pi\) |
0.997843 | + | 0.0656521i | \(0.0209128\pi\) | |||||||
\(824\) | −3.07014e8 | − | 3.07014e8i | −0.548752 | − | 0.548752i | ||||
\(825\) | 6.38815e6 | − | 2.38409e7i | 0.0113766 | − | 0.0424581i | ||||
\(826\) | 5.47135e8 | + | 1.46604e8i | 0.970855 | + | 0.260140i | ||||
\(827\) | −3.00632e8 | + | 3.00632e8i | −0.531519 | + | 0.531519i | −0.921024 | − | 0.389505i | \(-0.872646\pi\) |
0.389505 | + | 0.921024i | \(0.372646\pi\) | |||||||
\(828\) | 5.97695e8 | + | 1.03524e9i | 1.05290 | + | 1.82368i | ||||
\(829\) | −7.50796e8 | − | 4.33472e8i | −1.31783 | − | 0.760847i | −0.334448 | − | 0.942414i | \(-0.608550\pi\) |
−0.983379 | + | 0.181567i | \(0.941883\pi\) | |||||||
\(830\) | −1.10759e8 | − | 4.13360e8i | −0.193708 | − | 0.722926i | ||||
\(831\) | − | 5.78524e7i | − | 0.100813i | ||||||
\(832\) | −5.29340e8 | − | 7.66297e8i | −0.919105 | − | 1.33054i | ||||
\(833\) | 2.53488e8 | 0.438554 | ||||||||
\(834\) | −4.17216e6 | + | 1.11793e6i | −0.00719222 | + | 0.00192715i | ||||
\(835\) | −5.57206e7 | + | 9.65109e7i | −0.0957098 | + | 0.165774i | ||||
\(836\) | −5.87538e8 | + | 3.39215e8i | −1.00558 | + | 0.580573i | ||||
\(837\) | 2.30674e7 | + | 2.30674e7i | 0.0393389 | + | 0.0393389i | ||||
\(838\) | 7.80418e7 | − | 2.91256e8i | 0.132616 | − | 0.494929i | ||||
\(839\) | −8.54335e8 | − | 2.28918e8i | −1.44658 | − | 0.387610i | −0.551747 | − | 0.834011i | \(-0.686039\pi\) |
−0.894833 | + | 0.446401i | \(0.852705\pi\) | |||||||
\(840\) | 1.39575e7 | − | 1.39575e7i | 0.0235489 | − | 0.0235489i | ||||
\(841\) | 2.09868e8 | + | 3.63503e8i | 0.352825 | + | 0.611110i | ||||
\(842\) | 5.95850e8 | + | 3.44014e8i | 0.998161 | + | 0.576288i | ||||
\(843\) | −1.63573e7 | − | 6.10461e7i | −0.0273041 | − | 0.101900i | ||||
\(844\) | 9.37943e8i | 1.56009i | ||||||||
\(845\) | 1.55229e8 | − | 6.99962e7i | 0.257279 | − | 0.116012i | ||||
\(846\) | 4.50452e8 | 0.743940 | ||||||||
\(847\) | −5.38233e8 | + | 1.44219e8i | −0.885769 | + | 0.237341i | ||||
\(848\) | −157436. | + | 272687.i | −0.000258176 | + | 0.000447174i | ||||
\(849\) | 2.18579e7 | − | 1.26197e7i | 0.0357179 | − | 0.0206217i | ||||
\(850\) | −6.14945e8 | − | 6.14945e8i | −1.00133 | − | 1.00133i | ||||
\(851\) | −3.35540e8 | + | 1.25225e9i | −0.544447 | + | 2.03190i | ||||
\(852\) | 5.00976e6 | + | 1.34236e6i | 0.00810024 | + | 0.00217045i | ||||
\(853\) | −3.73539e8 | + | 3.73539e8i | −0.601851 | + | 0.601851i | −0.940804 | − | 0.338952i | \(-0.889927\pi\) |
0.338952 | + | 0.940804i | \(0.389927\pi\) | |||||||
\(854\) | −5.76489e8 | − | 9.98508e8i | −0.925587 | − | 1.60316i | ||||
\(855\) | 2.20686e8 | + | 1.27413e8i | 0.353082 | + | 0.203852i | ||||
\(856\) | −4.87755e7 | − | 1.82032e8i | −0.0777643 | − | 0.290220i | ||||
\(857\) | − | 4.41628e8i | − | 0.701639i | −0.936443 | − | 0.350820i | \(-0.885903\pi\) | ||
0.936443 | − | 0.350820i | \(-0.114097\pi\) | |||||||
\(858\) | −4.01784e7 | + | 2.77543e7i | −0.0636109 | + | 0.0439409i | ||||
\(859\) | 6.30993e8 | 0.995508 | 0.497754 | − | 0.867318i | \(-0.334158\pi\) | ||||
0.497754 | + | 0.867318i | \(0.334158\pi\) | |||||||
\(860\) | −1.57577e8 | + | 4.22225e7i | −0.247740 | + | 0.0663818i | ||||
\(861\) | −6.43487e7 | + | 1.11455e8i | −0.100816 | + | 0.174619i | ||||
\(862\) | −9.92571e8 | + | 5.73061e8i | −1.54967 | + | 0.894704i | ||||
\(863\) | −2.45901e7 | − | 2.45901e7i | −0.0382585 | − | 0.0382585i | 0.687719 | − | 0.725977i | \(-0.258612\pi\) |
−0.725977 | + | 0.687719i | \(0.758612\pi\) | |||||||
\(864\) | 3.21607e7 | − | 1.20026e8i | 0.0498637 | − | 0.186094i | ||||
\(865\) | 1.32211e8 | + | 3.54258e7i | 0.204277 | + | 0.0547358i | ||||
\(866\) | 5.76731e8 | − | 5.76731e8i | 0.888014 | − | 0.888014i | ||||
\(867\) | −3.05707e6 | − | 5.29501e6i | −0.00469082 | − | 0.00812474i | ||||
\(868\) | 3.18996e8 | + | 1.84172e8i | 0.487783 | + | 0.281621i | ||||
\(869\) | 4.74102e7 | + | 1.76937e8i | 0.0722457 | + | 0.269625i | ||||
\(870\) | 1.58648e7i | 0.0240923i | ||||||||
\(871\) | −6.93010e8 | + | 8.15315e8i | −1.04878 | + | 1.23388i | ||||
\(872\) | −1.74086e8 | −0.262551 | ||||||||
\(873\) | −7.95940e8 | + | 2.13271e8i | −1.19629 | + | 0.320546i | ||||
\(874\) | 1.03391e9 | − | 1.79079e9i | 1.54863 | − | 2.68231i | ||||
\(875\) | −3.80113e8 | + | 2.19459e8i | −0.567399 | + | 0.327588i | ||||
\(876\) | 4.31149e7 | + | 4.31149e7i | 0.0641379 | + | 0.0641379i | ||||
\(877\) | 7.59185e7 | − | 2.83332e8i | 0.112551 | − | 0.420045i | −0.886541 | − | 0.462650i | \(-0.846899\pi\) |
0.999092 | + | 0.0426043i | \(0.0135655\pi\) | |||||||
\(878\) | 6.54835e8 | + | 1.75462e8i | 0.967494 | + | 0.259239i | ||||
\(879\) | −2.21398e6 | + | 2.21398e6i | −0.00325992 | + | 0.00325992i | ||||
\(880\) | −248154. | − | 429816.i | −0.000364145 | − | 0.000630717i | ||||
\(881\) | 3.03371e8 | + | 1.75152e8i | 0.443656 | + | 0.256145i | 0.705147 | − | 0.709061i | \(-0.250881\pi\) |
−0.261491 | + | 0.965206i | \(0.584214\pi\) | |||||||
\(882\) | 1.31379e8 | + | 4.90311e8i | 0.191478 | + | 0.714605i | ||||
\(883\) | − | 4.75275e8i | − | 0.690340i | −0.938540 | − | 0.345170i | \(-0.887821\pi\) | ||
0.938540 | − | 0.345170i | \(-0.112179\pi\) | |||||||
\(884\) | 8.59929e7 | + | 1.06050e9i | 0.124482 | + | 1.53516i | ||||
\(885\) | 9.76650e6 | 0.0140899 | ||||||||
\(886\) | −1.32958e9 | + | 3.56261e8i | −1.91168 | + | 0.512232i | ||||
\(887\) | −6.27037e8 | + | 1.08606e9i | −0.898509 | + | 1.55626i | −0.0691083 | + | 0.997609i | \(0.522015\pi\) |
−0.829401 | + | 0.558654i | \(0.811318\pi\) | |||||||
\(888\) | −9.49099e7 | + | 5.47963e7i | −0.135542 | + | 0.0782550i | ||||
\(889\) | −9.93017e8 | − | 9.93017e8i | −1.41336 | − | 1.41336i | ||||
\(890\) | 2.19466e6 | − | 8.19058e6i | 0.00311313 | − | 0.0116184i | ||||
\(891\) | 3.26232e8 | + | 8.74137e7i | 0.461205 | + | 0.123579i | ||||
\(892\) | 7.09332e8 | − | 7.09332e8i | 0.999436 | − | 0.999436i | ||||
\(893\) | −2.40921e8 | − | 4.17287e8i | −0.338314 | − | 0.585978i | ||||
\(894\) | 8.19546e7 | + | 4.73165e7i | 0.114699 | + | 0.0662217i | ||||
\(895\) | 9.24656e6 | + | 3.45086e7i | 0.0128977 | + | 0.0481348i | ||||
\(896\) | − | 1.41044e9i | − | 1.96078i | ||||||
\(897\) | 3.94265e7 | − | 8.31662e7i | 0.0546275 | − | 0.115231i | ||||
\(898\) | 1.15700e9 | 1.59773 | ||||||||
\(899\) | −1.09484e8 | + | 2.93362e7i | −0.150686 | + | 0.0403762i | ||||
\(900\) | 5.38449e8 | − | 9.32620e8i | 0.738613 | − | 1.27931i | ||||
\(901\) | −5.91970e7 | + | 3.41774e7i | −0.0809330 | + | 0.0467267i | ||||
\(902\) | 7.08264e8 | + | 7.08264e8i | 0.965107 | + | 0.965107i | ||||
\(903\) | −1.25588e7 | + | 4.68701e7i | −0.0170563 | + | 0.0636551i | ||||
\(904\) | 1.14107e9 | + | 3.05748e8i | 1.54456 | + | 0.413865i | ||||
\(905\) | 9.62329e7 | − | 9.62329e7i | 0.129831 | − | 0.129831i | ||||
\(906\) | 6.47939e7 | + | 1.12226e8i | 0.0871264 | + | 0.150907i | ||||
\(907\) | 6.78874e8 | + | 3.91948e8i | 0.909844 | + | 0.525299i | 0.880381 | − | 0.474267i | \(-0.157287\pi\) |
0.0294634 | + | 0.999566i | \(0.490620\pi\) | |||||||
\(908\) | −3.03934e8 | − | 1.13430e9i | −0.405996 | − | 1.51520i | ||||
\(909\) | − | 1.64782e8i | − | 0.219391i | ||||||
\(910\) | 4.09393e8 | + | 7.48731e7i | 0.543270 | + | 0.0993578i | ||||
\(911\) | 3.07792e8 | 0.407101 | 0.203551 | − | 0.979064i | \(-0.434752\pi\) | ||||
0.203551 | + | 0.979064i | \(0.434752\pi\) | |||||||
\(912\) | 545479. | − | 146161.i | 0.000719107 | − | 0.000192684i | ||||
\(913\) | −3.06304e8 | + | 5.30533e8i | −0.402476 | + | 0.697109i | ||||
\(914\) | −3.29485e8 | + | 1.90228e8i | −0.431516 | + | 0.249136i | ||||
\(915\) | −1.40571e7 | − | 1.40571e7i | −0.0183498 | − | 0.0183498i | ||||
\(916\) | −6.68441e7 | + | 2.49466e8i | −0.0869714 | + | 0.324582i | ||||
\(917\) | 1.72563e9 | + | 4.62381e8i | 2.23789 | + | 0.599641i | ||||
\(918\) | −1.62853e8 | + | 1.62853e8i | −0.210507 | + | 0.210507i | ||||
\(919\) | −1.81018e8 | − | 3.13532e8i | −0.233225 | − | 0.403957i | 0.725530 | − | 0.688190i | \(-0.241594\pi\) |
−0.958755 | + | 0.284233i | \(0.908261\pi\) | |||||||
\(920\) | 2.50758e8 | + | 1.44775e8i | 0.322026 | + | 0.185922i | ||||
\(921\) | 4.61266e6 | + | 1.72147e7i | 0.00590435 | + | 0.0220354i | ||||
\(922\) | − | 5.25074e8i | − | 0.669928i | ||||||
\(923\) | 1.40691e7 | + | 3.94326e7i | 0.0178921 | + | 0.0501476i | ||||
\(924\) | −7.38040e7 | −0.0935543 | ||||||||
\(925\) | 1.12812e9 | − | 3.02280e8i | 1.42538 | − | 0.381930i | ||||
\(926\) | −7.11813e7 | + | 1.23290e8i | −0.0896465 | + | 0.155272i | ||||
\(927\) | 5.28078e8 | − | 3.04886e8i | 0.662917 | − | 0.382735i | ||||
\(928\) | 3.05288e8 | + | 3.05288e8i | 0.382002 | + | 0.382002i | ||||
\(929\) | 1.64325e8 | − | 6.13269e8i | 0.204954 | − | 0.764899i | −0.784510 | − | 0.620117i | \(-0.787085\pi\) |
0.989464 | − | 0.144782i | \(-0.0462481\pi\) | |||||||
\(930\) | 9.92051e6 | + | 2.65819e6i | 0.0123335 | + | 0.00330474i | ||||
\(931\) | 3.83945e8 | − | 3.83945e8i | 0.475795 | − | 0.475795i | ||||
\(932\) | −3.60949e8 | − | 6.25182e8i | −0.445859 | − | 0.772251i | ||||
\(933\) | −1.59022e7 | − | 9.18113e6i | −0.0195800 | − | 0.0113045i | ||||
\(934\) | 4.85811e8 | + | 1.81307e9i | 0.596247 | + | 2.22522i | ||||
\(935\) | − | 1.07743e8i | − | 0.131811i | ||||||
\(936\) | −7.68291e8 | + | 2.74117e8i | −0.936910 | + | 0.334279i | ||||
\(937\) | −1.43436e9 | −1.74357 | −0.871786 | − | 0.489887i | \(-0.837038\pi\) | ||||
−0.871786 | + | 0.489887i | \(0.837038\pi\) | |||||||
\(938\) | −2.52619e9 | + | 6.76889e8i | −3.06095 | + | 0.820180i | ||||
\(939\) | −6.04392e6 | + | 1.04684e7i | −0.00729998 | + | 0.0126439i | ||||
\(940\) | 1.52618e8 | − | 8.81140e7i | 0.183748 | − | 0.106087i | ||||
\(941\) | −2.80616e8 | − | 2.80616e8i | −0.336778 | − | 0.336778i | 0.518376 | − | 0.855153i | \(-0.326537\pi\) |
−0.855153 | + | 0.518376i | \(0.826537\pi\) | |||||||
\(942\) | −3.71945e7 | + | 1.38812e8i | −0.0444965 | + | 0.166063i | ||||
\(943\) | −1.82354e9 | − | 4.88615e8i | −2.17460 | − | 0.582682i | ||||
\(944\) | −1.60457e6 | + | 1.60457e6i | −0.00190740 | + | 0.00190740i | ||||
\(945\) | 2.78538e7 | + | 4.82442e7i | 0.0330057 | + | 0.0571675i | ||||
\(946\) | 3.27057e8 | + | 1.88827e8i | 0.386323 | + | 0.223044i | ||||
\(947\) | −1.24965e8 | − | 4.66375e8i | −0.147142 | − | 0.549143i | −0.999651 | − | 0.0264291i | \(-0.991586\pi\) |
0.852508 | − | 0.522714i | \(-0.175080\pi\) | |||||||
\(948\) | − | 7.62302e7i | − | 0.0894751i | ||||||
\(949\) | −8.85495e7 | + | 4.84172e8i | −0.103607 | + | 0.566502i | ||||
\(950\) | −1.86285e9 | −2.17273 | ||||||||
\(951\) | −4.00086e7 | + | 1.07203e7i | −0.0465170 | + | 0.0124642i | ||||
\(952\) | −4.97809e8 | + | 8.62231e8i | −0.576968 | + | 0.999338i | ||||
\(953\) | 3.91070e8 | − | 2.25784e8i | 0.451830 | − | 0.260864i | −0.256772 | − | 0.966472i | \(-0.582659\pi\) |
0.708603 | + | 0.705607i | \(0.249326\pi\) | |||||||
\(954\) | −9.67888e7 | − | 9.67888e7i | −0.111476 | − | 0.111476i | ||||
\(955\) | −5.23045e7 | + | 1.95203e8i | −0.0600522 | + | 0.224118i | ||||
\(956\) | −1.14557e9 | − | 3.06954e8i | −1.31114 | − | 0.351318i | ||||
\(957\) | 1.60590e7 | − | 1.60590e7i | 0.0183224 | − | 0.0183224i | ||||
\(958\) | 8.24731e8 | + | 1.42848e9i | 0.938028 | + | 1.62471i | ||||
\(959\) | 9.53685e8 | + | 5.50610e8i | 1.08131 | + | 0.624293i | ||||
\(960\) | −1.01582e7 | − | 3.79108e7i | −0.0114816 | − | 0.0428499i | ||||
\(961\) | − | 8.14126e8i | − | 0.917321i | ||||||
\(962\) | −2.08795e9 | − | 9.89833e8i | −2.34528 | − | 1.11183i | ||||
\(963\) | 2.64667e8 | 0.296361 | ||||||||
\(964\) | −2.92919e8 | + | 7.84873e7i | −0.326976 | + | 0.0876129i | ||||
\(965\) | 1.33488e8 | − | 2.31207e8i | 0.148545 | − | 0.257288i | ||||
\(966\) | 1.94813e8 | − | 1.12475e8i | 0.216116 | − | 0.124775i | ||||
\(967\) | 7.56435e8 | + | 7.56435e8i | 0.836550 | + | 0.836550i | 0.988403 | − | 0.151853i | \(-0.0485240\pi\) |
−0.151853 | + | 0.988403i | \(0.548524\pi\) | |||||||
\(968\) | 1.78837e8 | − | 6.67428e8i | 0.197165 | − | 0.735831i | ||||
\(969\) | 1.18417e8 | + | 3.17297e7i | 0.130149 | + | 0.0348734i | ||||
\(970\) | −3.68633e8 | + | 3.68633e8i | −0.403905 | + | 0.403905i | ||||
\(971\) | −7.51609e7 | − | 1.30182e8i | −0.0820983 | − | 0.142198i | 0.822053 | − | 0.569411i | \(-0.192829\pi\) |
−0.904151 | + | 0.427213i | \(0.859495\pi\) | |||||||
\(972\) | −3.71058e8 | − | 2.14231e8i | −0.404058 | − | 0.233283i | ||||
\(973\) | −1.36391e7 | − | 5.09020e7i | −0.0148064 | − | 0.0552581i | ||||
\(974\) | 1.88577e9i | 2.04085i | ||||||||
\(975\) | −8.26438e7 | + | 6.70136e6i | −0.0891654 | + | 0.00723018i | ||||
\(976\) | 4.61895e6 | 0.00496814 | ||||||||
\(977\) | 1.35012e9 | − | 3.61763e8i | 1.44773 | − | 0.387918i | 0.552497 | − | 0.833515i | \(-0.313675\pi\) |
0.895234 | + | 0.445597i | \(0.147008\pi\) | |||||||
\(978\) | 7.73246e7 | − | 1.33930e8i | 0.0826611 | − | 0.143173i | ||||
\(979\) | −1.05123e7 | + | 6.06930e6i | −0.0112034 | + | 0.00646831i | ||||
\(980\) | 1.40423e8 | + | 1.40423e8i | 0.149197 | + | 0.149197i | ||||
\(981\) | 6.32781e7 | − | 2.36157e8i | 0.0670265 | − | 0.250146i | ||||
\(982\) | 1.33633e9 | + | 3.58069e8i | 1.41117 | + | 0.378122i | ||||
\(983\) | 1.07866e9 | − | 1.07866e9i | 1.13559 | − | 1.13559i | 0.146362 | − | 0.989231i | \(-0.453244\pi\) |
0.989231 | − | 0.146362i | \(-0.0467563\pi\) | |||||||
\(984\) | −7.97945e7 | − | 1.38208e8i | −0.0837506 | − | 0.145060i | ||||
\(985\) | −5.48870e6 | − | 3.16890e6i | −0.00574329 | − | 0.00331589i | ||||
\(986\) | −2.07110e8 | − | 7.72945e8i | −0.216058 | − | 0.806340i | ||||
\(987\) | − | 5.24178e7i | − | 0.0545165i | ||||||
\(988\) | 1.73653e9 | + | 1.47603e9i | 1.80058 | + | 1.53047i | ||||
\(989\) | −7.11792e8 | −0.735808 | ||||||||
\(990\) | 2.08402e8 | − | 5.58412e7i | 0.214781 | − | 0.0575505i | ||||
\(991\) | 7.41446e8 | − | 1.28422e9i | 0.761830 | − | 1.31953i | −0.180076 | − | 0.983653i | \(-0.557634\pi\) |
0.941906 | − | 0.335876i | \(-0.109032\pi\) | |||||||
\(992\) | 2.42053e8 | − | 1.39749e8i | 0.247956 | − | 0.143158i | ||||
\(993\) | 1.17046e8 | + | 1.17046e8i | 0.119538 | + | 0.119538i | ||||
\(994\) | −2.64844e7 | + | 9.88410e7i | −0.0269669 | + | 0.100642i | ||||
\(995\) | −2.85486e8 | − | 7.64957e7i | −0.289811 | − | 0.0776547i | ||||
\(996\) | 1.80268e8 | − | 1.80268e8i | 0.182449 | − | 0.182449i | ||||
\(997\) | 7.97273e8 | + | 1.38092e9i | 0.804492 | + | 1.39342i | 0.916633 | + | 0.399729i | \(0.130896\pi\) |
−0.112141 | + | 0.993692i | \(0.535771\pi\) | |||||||
\(998\) | −8.29931e8 | − | 4.79161e8i | −0.834931 | − | 0.482048i | ||||
\(999\) | −8.00513e7 | − | 2.98755e8i | −0.0802919 | − | 0.299654i |
(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.7.6 | yes | 24 | |
13.2 | odd | 12 | inner | 13.7.f.a.2.6 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.7.f.a.2.6 | ✓ | 24 | 13.2 | odd | 12 | inner | |
13.7.f.a.7.6 | yes | 24 | 1.1 | even | 1 | trivial |