Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(4,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 3 x^{19} + 142 x^{18} - 389 x^{17} + 14927 x^{16} - 6599 x^{15} + 1399353 x^{14} + \cdots + 25735126080400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 31.1 | ||
Root | \(-3.00337 - 9.24343i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.31 |
Dual form | 33.6.e.a.16.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.69436 | + | 8.29237i | −0.476299 | + | 1.46590i | 0.367898 | + | 0.929866i | \(0.380077\pi\) |
−0.844197 | + | 0.536032i | \(0.819923\pi\) | |||||||
\(3\) | −7.28115 | + | 5.29007i | −0.467086 | + | 0.339358i | ||||
\(4\) | −35.6154 | − | 25.8761i | −1.11298 | − | 0.808627i | ||||
\(5\) | −23.0548 | − | 70.9555i | −0.412417 | − | 1.26929i | −0.914541 | − | 0.404494i | \(-0.867448\pi\) |
0.502123 | − | 0.864796i | \(-0.332552\pi\) | |||||||
\(6\) | −24.2492 | − | 74.6314i | −0.274992 | − | 0.846337i | ||||
\(7\) | 46.3463 | + | 33.6726i | 0.357495 | + | 0.259735i | 0.752007 | − | 0.659156i | \(-0.229086\pi\) |
−0.394511 | + | 0.918891i | \(0.629086\pi\) | |||||||
\(8\) | 84.8093 | − | 61.6176i | 0.468510 | − | 0.340392i | ||||
\(9\) | 25.0304 | − | 77.0356i | 0.103006 | − | 0.317019i | ||||
\(10\) | 650.507 | 2.05708 | ||||||||
\(11\) | −338.498 | + | 215.570i | −0.843479 | + | 0.537162i | ||||
\(12\) | 396.207 | 0.794272 | ||||||||
\(13\) | 287.812 | − | 885.794i | 0.472335 | − | 1.45370i | −0.377183 | − | 0.926139i | \(-0.623107\pi\) |
0.849518 | − | 0.527560i | \(-0.176893\pi\) | |||||||
\(14\) | −404.099 | + | 293.595i | −0.551021 | + | 0.400340i | ||||
\(15\) | 543.225 | + | 394.676i | 0.623378 | + | 0.452911i | ||||
\(16\) | −152.874 | − | 470.498i | −0.149291 | − | 0.459471i | ||||
\(17\) | −303.985 | − | 935.571i | −0.255112 | − | 0.785153i | −0.993808 | − | 0.111114i | \(-0.964558\pi\) |
0.738696 | − | 0.674039i | \(-0.235442\pi\) | |||||||
\(18\) | 571.367 | + | 415.122i | 0.415656 | + | 0.301992i | ||||
\(19\) | −365.049 | + | 265.224i | −0.231989 | + | 0.168550i | −0.697707 | − | 0.716383i | \(-0.745796\pi\) |
0.465718 | + | 0.884933i | \(0.345796\pi\) | |||||||
\(20\) | −1014.94 | + | 3123.67i | −0.567370 | + | 1.74619i | ||||
\(21\) | −515.585 | −0.255124 | ||||||||
\(22\) | −875.550 | − | 3387.77i | −0.385677 | − | 1.49230i | ||||
\(23\) | −4608.25 | −1.81642 | −0.908210 | − | 0.418515i | \(-0.862551\pi\) | ||||
−0.908210 | + | 0.418515i | \(0.862551\pi\) | |||||||
\(24\) | −291.548 | + | 897.294i | −0.103320 | + | 0.317985i | ||||
\(25\) | −1974.98 | + | 1434.90i | −0.631992 | + | 0.459169i | ||||
\(26\) | 6569.87 | + | 4773.29i | 1.90600 | + | 1.38479i | ||||
\(27\) | 225.273 | + | 693.320i | 0.0594703 | + | 0.183031i | ||||
\(28\) | −779.327 | − | 2398.52i | −0.187856 | − | 0.578161i | ||||
\(29\) | −1847.35 | − | 1342.18i | −0.407900 | − | 0.296357i | 0.364851 | − | 0.931066i | \(-0.381120\pi\) |
−0.772751 | + | 0.634709i | \(0.781120\pi\) | |||||||
\(30\) | −4736.44 | + | 3441.23i | −0.960836 | + | 0.698088i | ||||
\(31\) | −400.413 | + | 1232.34i | −0.0748348 | + | 0.230318i | −0.981476 | − | 0.191584i | \(-0.938637\pi\) |
0.906641 | + | 0.421902i | \(0.138637\pi\) | |||||||
\(32\) | 7668.00 | 1.32375 | ||||||||
\(33\) | 1324.28 | − | 3360.27i | 0.211687 | − | 0.537142i | ||||
\(34\) | 8577.15 | 1.27246 | ||||||||
\(35\) | 1320.75 | − | 4064.84i | 0.182242 | − | 0.560885i | ||||
\(36\) | −2884.84 | + | 2095.96i | −0.370993 | + | 0.269542i | ||||
\(37\) | 2592.40 | + | 1883.49i | 0.311313 | + | 0.226182i | 0.732460 | − | 0.680810i | \(-0.238372\pi\) |
−0.421146 | + | 0.906993i | \(0.638372\pi\) | |||||||
\(38\) | −1215.76 | − | 3741.73i | −0.136581 | − | 0.420353i | ||||
\(39\) | 2590.31 | + | 7972.15i | 0.272703 | + | 0.839293i | ||||
\(40\) | −6327.37 | − | 4597.10i | −0.625278 | − | 0.454291i | ||||
\(41\) | 2443.29 | − | 1775.15i | 0.226994 | − | 0.164921i | −0.468475 | − | 0.883477i | \(-0.655196\pi\) |
0.695469 | + | 0.718556i | \(0.255196\pi\) | |||||||
\(42\) | 1389.17 | − | 4275.42i | 0.121516 | − | 0.373986i | ||||
\(43\) | −13692.5 | −1.12930 | −0.564652 | − | 0.825329i | \(-0.690990\pi\) | ||||
−0.564652 | + | 0.825329i | \(0.690990\pi\) | |||||||
\(44\) | 17633.8 | + | 1081.41i | 1.37314 | + | 0.0842089i | ||||
\(45\) | −6043.17 | −0.444870 | ||||||||
\(46\) | 12416.3 | − | 38213.3i | 0.865159 | − | 2.66269i | ||||
\(47\) | −14644.0 | + | 10639.5i | −0.966973 | + | 0.702547i | −0.954760 | − | 0.297379i | \(-0.903888\pi\) |
−0.0122130 | + | 0.999925i | \(0.503888\pi\) | |||||||
\(48\) | 3602.06 | + | 2617.05i | 0.225657 | + | 0.163949i | ||||
\(49\) | −4179.51 | − | 12863.2i | −0.248677 | − | 0.765348i | ||||
\(50\) | −6577.47 | − | 20243.4i | −0.372078 | − | 1.14514i | ||||
\(51\) | 7162.60 | + | 5203.93i | 0.385607 | + | 0.280160i | ||||
\(52\) | −33171.4 | + | 24100.4i | −1.70120 | + | 1.23599i | ||||
\(53\) | −3266.22 | + | 10052.4i | −0.159719 | + | 0.491564i | −0.998608 | − | 0.0527377i | \(-0.983205\pi\) |
0.838890 | + | 0.544302i | \(0.183205\pi\) | |||||||
\(54\) | −6356.24 | −0.296630 | ||||||||
\(55\) | 23099.9 | + | 19048.4i | 1.02968 | + | 0.849084i | ||||
\(56\) | 6005.42 | 0.255902 | ||||||||
\(57\) | 1254.93 | − | 3862.27i | 0.0511601 | − | 0.157455i | ||||
\(58\) | 16107.2 | − | 11702.6i | 0.628711 | − | 0.456785i | ||||
\(59\) | 32190.1 | + | 23387.5i | 1.20391 | + | 0.874688i | 0.994663 | − | 0.103176i | \(-0.0329003\pi\) |
0.209242 | + | 0.977864i | \(0.432900\pi\) | |||||||
\(60\) | −9134.49 | − | 28113.1i | −0.327572 | − | 1.00816i | ||||
\(61\) | 12518.1 | + | 38526.9i | 0.430740 | + | 1.32568i | 0.897390 | + | 0.441239i | \(0.145461\pi\) |
−0.466650 | + | 0.884442i | \(0.654539\pi\) | |||||||
\(62\) | −9140.20 | − | 6640.74i | −0.301979 | − | 0.219400i | ||||
\(63\) | 3754.05 | − | 2727.48i | 0.119165 | − | 0.0865785i | ||||
\(64\) | −15768.4 | + | 48530.0i | −0.481212 | + | 1.48102i | ||||
\(65\) | −69487.4 | −2.03996 | ||||||||
\(66\) | 24296.5 | + | 20035.2i | 0.686570 | + | 0.566152i | ||||
\(67\) | 44874.2 | 1.22126 | 0.610632 | − | 0.791915i | \(-0.290916\pi\) | ||||
0.610632 | + | 0.791915i | \(0.290916\pi\) | |||||||
\(68\) | −13382.4 | + | 41186.7i | −0.350962 | + | 1.08015i | ||||
\(69\) | 33553.4 | − | 24377.9i | 0.848425 | − | 0.616417i | ||||
\(70\) | 30148.6 | + | 21904.3i | 0.735398 | + | 0.534298i | ||||
\(71\) | −22270.8 | − | 68542.4i | −0.524312 | − | 1.61367i | −0.765672 | − | 0.643231i | \(-0.777594\pi\) |
0.241360 | − | 0.970436i | \(-0.422406\pi\) | |||||||
\(72\) | −2623.94 | − | 8075.64i | −0.0596516 | − | 0.183589i | ||||
\(73\) | −57857.4 | − | 42035.9i | −1.27073 | − | 0.923236i | −0.271494 | − | 0.962440i | \(-0.587518\pi\) |
−0.999231 | + | 0.0392040i | \(0.987518\pi\) | |||||||
\(74\) | −22603.5 | + | 16422.4i | −0.479839 | + | 0.348623i | ||||
\(75\) | 6789.36 | − | 20895.5i | 0.139372 | − | 0.428943i | ||||
\(76\) | 19864.3 | 0.394493 | ||||||||
\(77\) | −22946.9 | − | 1407.24i | −0.441060 | − | 0.0270483i | ||||
\(78\) | −73087.2 | −1.36021 | ||||||||
\(79\) | −14953.8 | + | 46023.1i | −0.269578 | + | 0.829675i | 0.721026 | + | 0.692908i | \(0.243671\pi\) |
−0.990603 | + | 0.136767i | \(0.956329\pi\) | |||||||
\(80\) | −29859.9 | + | 21694.5i | −0.521631 | + | 0.378987i | ||||
\(81\) | −5307.96 | − | 3856.46i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 8137.14 | + | 25043.5i | 0.133640 | + | 0.411302i | ||||
\(83\) | −24651.1 | − | 75868.4i | −0.392773 | − | 1.20883i | −0.930682 | − | 0.365828i | \(-0.880786\pi\) |
0.537909 | − | 0.843003i | \(-0.319214\pi\) | |||||||
\(84\) | 18362.7 | + | 13341.3i | 0.283948 | + | 0.206301i | ||||
\(85\) | −59375.6 | + | 43138.9i | −0.891375 | + | 0.647622i | ||||
\(86\) | 36892.4 | − | 113543.i | 0.537886 | − | 1.65544i | ||||
\(87\) | 20551.0 | 0.291095 | ||||||||
\(88\) | −15424.9 | + | 39139.7i | −0.212332 | + | 0.538779i | ||||
\(89\) | 133491. | 1.78640 | 0.893198 | − | 0.449663i | \(-0.148456\pi\) | ||||
0.893198 | + | 0.449663i | \(0.148456\pi\) | |||||||
\(90\) | 16282.4 | − | 50112.2i | 0.211891 | − | 0.652135i | ||||
\(91\) | 43166.0 | − | 31361.9i | 0.546435 | − | 0.397008i | ||||
\(92\) | 164124. | + | 119243.i | 2.02164 | + | 1.46881i | ||||
\(93\) | −3603.71 | − | 11091.1i | −0.0432059 | − | 0.132974i | ||||
\(94\) | −48770.4 | − | 150100.i | −0.569294 | − | 1.75211i | ||||
\(95\) | 27235.2 | + | 19787.6i | 0.309615 | + | 0.224949i | ||||
\(96\) | −55831.9 | + | 40564.3i | −0.618307 | + | 0.449227i | ||||
\(97\) | 6803.67 | − | 20939.5i | 0.0734199 | − | 0.225963i | −0.907612 | − | 0.419810i | \(-0.862097\pi\) |
0.981032 | + | 0.193847i | \(0.0620966\pi\) | |||||||
\(98\) | 117928. | 1.24037 | ||||||||
\(99\) | 8133.80 | + | 31472.2i | 0.0834075 | + | 0.322729i | ||||
\(100\) | 107469. | 1.07469 | ||||||||
\(101\) | 14465.3 | − | 44519.6i | 0.141099 | − | 0.434258i | −0.855390 | − | 0.517985i | \(-0.826682\pi\) |
0.996489 | + | 0.0837271i | \(0.0266824\pi\) | |||||||
\(102\) | −62451.5 | + | 45373.7i | −0.594351 | + | 0.431821i | ||||
\(103\) | −58337.4 | − | 42384.6i | −0.541818 | − | 0.393654i | 0.282942 | − | 0.959137i | \(-0.408690\pi\) |
−0.824760 | + | 0.565483i | \(0.808690\pi\) | |||||||
\(104\) | −30171.3 | − | 92857.9i | −0.273534 | − | 0.841851i | ||||
\(105\) | 11886.7 | + | 36583.6i | 0.105218 | + | 0.323827i | ||||
\(106\) | −74557.9 | − | 54169.5i | −0.644509 | − | 0.468263i | ||||
\(107\) | 133124. | − | 96720.1i | 1.12408 | − | 0.816690i | 0.139255 | − | 0.990257i | \(-0.455529\pi\) |
0.984822 | + | 0.173567i | \(0.0555293\pi\) | |||||||
\(108\) | 9917.21 | − | 30522.0i | 0.0818145 | − | 0.251799i | ||||
\(109\) | 18854.3 | 0.152000 | 0.0759999 | − | 0.997108i | \(-0.475785\pi\) | ||||
0.0759999 | + | 0.997108i | \(0.475785\pi\) | |||||||
\(110\) | −220195. | + | 140230.i | −1.73511 | + | 1.10499i | ||||
\(111\) | −28839.5 | −0.222167 | ||||||||
\(112\) | 8757.73 | − | 26953.5i | 0.0659700 | − | 0.203035i | ||||
\(113\) | −161022. | + | 116989.i | −1.18628 | + | 0.861885i | −0.992866 | − | 0.119232i | \(-0.961957\pi\) |
−0.193416 | + | 0.981117i | \(0.561957\pi\) | |||||||
\(114\) | 28646.2 | + | 20812.7i | 0.206445 | + | 0.149991i | ||||
\(115\) | 106242. | + | 326980.i | 0.749123 | + | 2.30556i | ||||
\(116\) | 31063.7 | + | 95604.2i | 0.214342 | + | 0.659678i | ||||
\(117\) | −61033.6 | − | 44343.5i | −0.412197 | − | 0.299478i | ||||
\(118\) | −280669. | + | 203918.i | −1.85562 | + | 1.34819i | ||||
\(119\) | 17414.5 | − | 53596.3i | 0.112731 | − | 0.346950i | ||||
\(120\) | 70389.5 | 0.446226 | ||||||||
\(121\) | 68110.5 | − | 145940.i | 0.422913 | − | 0.906170i | ||||
\(122\) | −353207. | −2.14847 | ||||||||
\(123\) | −8399.27 | + | 25850.3i | −0.0500586 | + | 0.154065i | ||||
\(124\) | 46149.1 | − | 33529.3i | 0.269531 | − | 0.195826i | ||||
\(125\) | −41272.7 | − | 29986.4i | −0.236259 | − | 0.171652i | ||||
\(126\) | 12502.5 | + | 38478.8i | 0.0701570 | + | 0.215921i | ||||
\(127\) | 11196.6 | + | 34459.7i | 0.0615996 | + | 0.189584i | 0.977121 | − | 0.212686i | \(-0.0682212\pi\) |
−0.915521 | + | 0.402270i | \(0.868221\pi\) | |||||||
\(128\) | −161430. | − | 117286.i | −0.870882 | − | 0.632733i | ||||
\(129\) | 99697.0 | − | 72434.1i | 0.527482 | − | 0.383238i | ||||
\(130\) | 187224. | − | 576216.i | 0.971634 | − | 2.99038i | ||||
\(131\) | 274351. | 1.39678 | 0.698390 | − | 0.715718i | \(-0.253900\pi\) | ||||
0.698390 | + | 0.715718i | \(0.253900\pi\) | |||||||
\(132\) | −134115. | + | 85410.2i | −0.669951 | + | 0.426653i | ||||
\(133\) | −25849.5 | −0.126713 | ||||||||
\(134\) | −120907. | + | 372113.i | −0.581687 | + | 1.79025i | ||||
\(135\) | 44001.2 | − | 31968.8i | 0.207793 | − | 0.150970i | ||||
\(136\) | −83428.4 | − | 60614.3i | −0.386782 | − | 0.281014i | ||||
\(137\) | 24649.2 | + | 75862.3i | 0.112202 | + | 0.345322i | 0.991353 | − | 0.131221i | \(-0.0418896\pi\) |
−0.879151 | + | 0.476543i | \(0.841890\pi\) | |||||||
\(138\) | 111746. | + | 343920.i | 0.499500 | + | 1.53730i | ||||
\(139\) | −236831. | − | 172068.i | −1.03968 | − | 0.755375i | −0.0694608 | − | 0.997585i | \(-0.522128\pi\) |
−0.970224 | + | 0.242209i | \(0.922128\pi\) | |||||||
\(140\) | −152221. | + | 110595.i | −0.656379 | + | 0.476887i | ||||
\(141\) | 50341.5 | − | 154935.i | 0.213245 | − | 0.656300i | ||||
\(142\) | 628385. | 2.61520 | ||||||||
\(143\) | 93526.5 | + | 361883.i | 0.382468 | + | 1.47988i | ||||
\(144\) | −40071.6 | −0.161039 | ||||||||
\(145\) | −52644.5 | + | 162023.i | −0.207938 | + | 0.639966i | ||||
\(146\) | 504465. | − | 366516.i | 1.95862 | − | 1.42302i | ||||
\(147\) | 98478.9 | + | 71549.1i | 0.375880 | + | 0.273093i | ||||
\(148\) | −43592.0 | − | 134162.i | −0.163588 | − | 0.503473i | ||||
\(149\) | 55823.8 | + | 171808.i | 0.205994 | + | 0.633983i | 0.999671 | + | 0.0256446i | \(0.00816382\pi\) |
−0.793677 | + | 0.608339i | \(0.791836\pi\) | |||||||
\(150\) | 154980. | + | 112600.i | 0.562405 | + | 0.408611i | ||||
\(151\) | −138837. | + | 100871.i | −0.495522 | + | 0.360018i | −0.807304 | − | 0.590136i | \(-0.799074\pi\) |
0.311782 | + | 0.950154i | \(0.399074\pi\) | |||||||
\(152\) | −14617.1 | + | 44986.9i | −0.0513160 | + | 0.157935i | ||||
\(153\) | −79681.1 | −0.275186 | ||||||||
\(154\) | 73496.5 | − | 186493.i | 0.249727 | − | 0.633666i | ||||
\(155\) | 96673.0 | 0.323203 | ||||||||
\(156\) | 114033. | − | 350958.i | 0.375163 | − | 1.15463i | ||||
\(157\) | −258411. | + | 187747.i | −0.836685 | + | 0.607888i | −0.921443 | − | 0.388514i | \(-0.872988\pi\) |
0.0847574 | + | 0.996402i | \(0.472988\pi\) | |||||||
\(158\) | −341350. | − | 248005.i | −1.08782 | − | 0.790347i | ||||
\(159\) | −29396.0 | − | 90471.6i | −0.0922137 | − | 0.283805i | ||||
\(160\) | −176785. | − | 544087.i | −0.545939 | − | 1.68023i | ||||
\(161\) | −213575. | − | 155172.i | −0.649361 | − | 0.471789i | ||||
\(162\) | 46280.7 | − | 33624.9i | 0.138552 | − | 0.100664i | ||||
\(163\) | −17320.6 | + | 53307.4i | −0.0510617 | + | 0.157152i | −0.973336 | − | 0.229385i | \(-0.926329\pi\) |
0.922274 | + | 0.386536i | \(0.126329\pi\) | |||||||
\(164\) | −132952. | −0.386000 | ||||||||
\(165\) | −268961. | − | 16494.2i | −0.769093 | − | 0.0471652i | ||||
\(166\) | 695548. | 1.95910 | ||||||||
\(167\) | 91384.6 | − | 281253.i | 0.253561 | − | 0.780379i | −0.740549 | − | 0.672002i | \(-0.765435\pi\) |
0.994110 | − | 0.108377i | \(-0.0345654\pi\) | |||||||
\(168\) | −43726.4 | + | 31769.1i | −0.119528 | + | 0.0868423i | ||||
\(169\) | −401413. | − | 291644.i | −1.08112 | − | 0.785481i | ||||
\(170\) | −197745. | − | 608596.i | −0.524787 | − | 1.61513i | ||||
\(171\) | 11294.4 | + | 34760.4i | 0.0295373 | + | 0.0909065i | ||||
\(172\) | 487662. | + | 354307.i | 1.25689 | + | 0.913186i | ||||
\(173\) | 265738. | − | 193070.i | 0.675055 | − | 0.490456i | −0.196659 | − | 0.980472i | \(-0.563009\pi\) |
0.871713 | + | 0.490016i | \(0.163009\pi\) | |||||||
\(174\) | −55371.8 | + | 170417.i | −0.138649 | + | 0.426716i | ||||
\(175\) | −139850. | −0.345197 | ||||||||
\(176\) | 153173. | + | 126308.i | 0.372734 | + | 0.307360i | ||||
\(177\) | −358102. | −0.859160 | ||||||||
\(178\) | −359673. | + | 1.10696e6i | −0.850859 | + | 2.61868i | ||||
\(179\) | −113318. | + | 82330.5i | −0.264343 | + | 0.192056i | −0.712059 | − | 0.702119i | \(-0.752237\pi\) |
0.447717 | + | 0.894175i | \(0.352237\pi\) | |||||||
\(180\) | 215230. | + | 156373.i | 0.495132 | + | 0.359734i | ||||
\(181\) | 63303.5 | + | 194828.i | 0.143625 | + | 0.442033i | 0.996832 | − | 0.0795402i | \(-0.0253452\pi\) |
−0.853206 | + | 0.521574i | \(0.825345\pi\) | |||||||
\(182\) | 143760. | + | 442449.i | 0.321707 | + | 0.990113i | ||||
\(183\) | −294956. | − | 214298.i | −0.651073 | − | 0.473032i | ||||
\(184\) | −390822. | + | 283949.i | −0.851010 | + | 0.618295i | ||||
\(185\) | 73876.5 | − | 227369.i | 0.158700 | − | 0.488429i | ||||
\(186\) | 101681. | 0.215505 | ||||||||
\(187\) | 304579. | + | 251159.i | 0.636936 | + | 0.525224i | ||||
\(188\) | 796858. | 1.64432 | ||||||||
\(189\) | −12905.3 | + | 39718.4i | −0.0262793 | + | 0.0808792i | ||||
\(190\) | −237467. | + | 172530.i | −0.477221 | + | 0.346721i | ||||
\(191\) | 47371.8 | + | 34417.6i | 0.0939586 | + | 0.0682649i | 0.633773 | − | 0.773519i | \(-0.281505\pi\) |
−0.539814 | + | 0.841784i | \(0.681505\pi\) | |||||||
\(192\) | −141915. | − | 436770.i | −0.277828 | − | 0.855066i | ||||
\(193\) | −83497.3 | − | 256978.i | −0.161354 | − | 0.496596i | 0.837395 | − | 0.546598i | \(-0.184077\pi\) |
−0.998749 | + | 0.0500019i | \(0.984077\pi\) | |||||||
\(194\) | 155307. | + | 112837.i | 0.296269 | + | 0.215252i | ||||
\(195\) | 505948. | − | 367593.i | 0.952839 | − | 0.692278i | ||||
\(196\) | −183995. | + | 566277.i | −0.342109 | + | 1.05290i | ||||
\(197\) | −562099. | −1.03192 | −0.515961 | − | 0.856612i | \(-0.672565\pi\) | ||||
−0.515961 | + | 0.856612i | \(0.672565\pi\) | |||||||
\(198\) | −282894. | − | 17348.7i | −0.512816 | − | 0.0314488i | ||||
\(199\) | −40230.0 | −0.0720140 | −0.0360070 | − | 0.999352i | \(-0.511464\pi\) | ||||
−0.0360070 | + | 0.999352i | \(0.511464\pi\) | |||||||
\(200\) | −79081.1 | + | 243386.i | −0.139797 | + | 0.430251i | ||||
\(201\) | −326736. | + | 237387.i | −0.570435 | + | 0.414446i | ||||
\(202\) | 330198. | + | 239903.i | 0.569372 | + | 0.413673i | ||||
\(203\) | −40423.2 | − | 124410.i | −0.0688479 | − | 0.211892i | ||||
\(204\) | −120441. | − | 370680.i | −0.202628 | − | 0.623625i | ||||
\(205\) | −182286. | − | 132439.i | −0.302949 | − | 0.220105i | ||||
\(206\) | 508650. | − | 369556.i | 0.835125 | − | 0.606753i | ||||
\(207\) | −115346. | + | 354999.i | −0.187102 | + | 0.575839i | ||||
\(208\) | −460763. | −0.738447 | ||||||||
\(209\) | 66394.2 | − | 168471.i | 0.105139 | − | 0.266784i | ||||
\(210\) | −335392. | −0.524812 | ||||||||
\(211\) | 205399. | − | 632152.i | 0.317608 | − | 0.977497i | −0.657060 | − | 0.753839i | \(-0.728200\pi\) |
0.974668 | − | 0.223658i | \(-0.0718000\pi\) | |||||||
\(212\) | 376444. | − | 273503.i | 0.575256 | − | 0.417948i | ||||
\(213\) | 524751. | + | 381254.i | 0.792509 | + | 0.575792i | ||||
\(214\) | 443356. | + | 1.36451e6i | 0.661787 | + | 2.03677i | ||||
\(215\) | 315678. | + | 971556.i | 0.465744 | + | 1.43341i | ||||
\(216\) | 61826.0 | + | 44919.2i | 0.0901647 | + | 0.0655085i | ||||
\(217\) | −60053.8 | + | 43631.7i | −0.0865748 | + | 0.0629003i | ||||
\(218\) | −50800.1 | + | 156347.i | −0.0723974 | + | 0.222816i | ||||
\(219\) | 643641. | 0.906846 | ||||||||
\(220\) | −329813. | − | 1.27615e6i | −0.459421 | − | 1.77764i | ||||
\(221\) | −916214. | −1.26187 | ||||||||
\(222\) | 77703.8 | − | 239148.i | 0.105818 | − | 0.325674i | ||||
\(223\) | 155787. | − | 113186.i | 0.209783 | − | 0.152416i | −0.477932 | − | 0.878397i | \(-0.658614\pi\) |
0.687716 | + | 0.725980i | \(0.258614\pi\) | |||||||
\(224\) | 355384. | + | 258201.i | 0.473236 | + | 0.343826i | ||||
\(225\) | 61104.3 | + | 188060.i | 0.0804665 | + | 0.247651i | ||||
\(226\) | −536268. | − | 1.65046e6i | −0.698410 | − | 2.14948i | ||||
\(227\) | −112940. | − | 82055.9i | −0.145474 | − | 0.105693i | 0.512668 | − | 0.858587i | \(-0.328657\pi\) |
−0.658142 | + | 0.752894i | \(0.728657\pi\) | |||||||
\(228\) | −144635. | + | 105084.i | −0.184262 | + | 0.133874i | ||||
\(229\) | −286604. | + | 882075.i | −0.361154 | + | 1.11152i | 0.591200 | + | 0.806525i | \(0.298654\pi\) |
−0.952354 | + | 0.304994i | \(0.901346\pi\) | |||||||
\(230\) | −2.99770e6 | −3.73653 | ||||||||
\(231\) | 174524. | − | 111144.i | 0.215192 | − | 0.137043i | ||||
\(232\) | −239374. | −0.291982 | ||||||||
\(233\) | 275416. | − | 847644.i | 0.332353 | − | 1.02288i | −0.635658 | − | 0.771971i | \(-0.719271\pi\) |
0.968011 | − | 0.250907i | \(-0.0807289\pi\) | |||||||
\(234\) | 532159. | − | 386636.i | 0.635334 | − | 0.461597i | ||||
\(235\) | 1.09254e6 | + | 793779.i | 1.29053 | + | 0.937626i | ||||
\(236\) | −541286. | − | 1.66591e6i | −0.632626 | − | 1.94702i | ||||
\(237\) | −134584. | − | 414208.i | −0.155641 | − | 0.479013i | ||||
\(238\) | 397519. | + | 288815.i | 0.454900 | + | 0.330504i | ||||
\(239\) | 54358.6 | − | 39493.8i | 0.0615564 | − | 0.0447234i | −0.556582 | − | 0.830793i | \(-0.687887\pi\) |
0.618138 | + | 0.786070i | \(0.287887\pi\) | |||||||
\(240\) | 102649. | − | 315922.i | 0.115034 | − | 0.354039i | ||||
\(241\) | 556571. | 0.617274 | 0.308637 | − | 0.951180i | \(-0.400127\pi\) | ||||
0.308637 | + | 0.951180i | \(0.400127\pi\) | |||||||
\(242\) | 1.02667e6 | + | 958011.i | 1.12692 | + | 1.05156i | ||||
\(243\) | 59049.0 | 0.0641500 | ||||||||
\(244\) | 551086. | − | 1.69607e6i | 0.592577 | − | 1.82376i | ||||
\(245\) | −816357. | + | 593118.i | −0.868890 | + | 0.631286i | ||||
\(246\) | −191730. | − | 139300.i | −0.202000 | − | 0.146762i | ||||
\(247\) | 129868. | + | 399693.i | 0.135444 | + | 0.416854i | ||||
\(248\) | 41975.3 | + | 129187.i | 0.0433376 | + | 0.133379i | ||||
\(249\) | 580837. | + | 422003.i | 0.593685 | + | 0.431338i | ||||
\(250\) | 359862. | − | 261455.i | 0.364154 | − | 0.264574i | ||||
\(251\) | 79427.2 | − | 244452.i | 0.0795765 | − | 0.244911i | −0.903352 | − | 0.428900i | \(-0.858901\pi\) |
0.982928 | + | 0.183989i | \(0.0589011\pi\) | |||||||
\(252\) | −204278. | −0.202638 | ||||||||
\(253\) | 1.55988e6 | − | 993398.i | 1.53211 | − | 0.975713i | ||||
\(254\) | −315920. | −0.307251 | ||||||||
\(255\) | 204115. | − | 628201.i | 0.196573 | − | 0.604990i | ||||
\(256\) | 86500.3 | − | 62846.1i | 0.0824931 | − | 0.0599348i | ||||
\(257\) | −796606. | − | 578768.i | −0.752334 | − | 0.546603i | 0.144215 | − | 0.989546i | \(-0.453934\pi\) |
−0.896549 | + | 0.442944i | \(0.853934\pi\) | |||||||
\(258\) | 332031. | + | 1.02189e6i | 0.310549 | + | 0.955771i | ||||
\(259\) | 56726.3 | + | 174586.i | 0.0525455 | + | 0.161718i | ||||
\(260\) | 2.47482e6 | + | 1.79806e6i | 2.27044 | + | 1.64957i | ||||
\(261\) | −149635. | + | 108716.i | −0.135967 | + | 0.0987855i | ||||
\(262\) | −739199. | + | 2.27502e6i | −0.665285 | + | 2.04754i | ||||
\(263\) | 619198. | 0.552002 | 0.276001 | − | 0.961157i | \(-0.410991\pi\) | ||||
0.276001 | + | 0.961157i | \(0.410991\pi\) | |||||||
\(264\) | −94740.7 | − | 366581.i | −0.0836617 | − | 0.323713i | ||||
\(265\) | 788575. | 0.689808 | ||||||||
\(266\) | 69647.7 | − | 214353.i | 0.0603535 | − | 0.185749i | ||||
\(267\) | −971970. | + | 706178.i | −0.834401 | + | 0.606228i | ||||
\(268\) | −1.59821e6 | − | 1.16117e6i | −1.35924 | − | 0.987547i | ||||
\(269\) | 571453. | + | 1.75875e6i | 0.481504 | + | 1.48192i | 0.836981 | + | 0.547232i | \(0.184319\pi\) |
−0.355477 | + | 0.934685i | \(0.615681\pi\) | |||||||
\(270\) | 146542. | + | 451010.i | 0.122336 | + | 0.376510i | ||||
\(271\) | −785445. | − | 570659.i | −0.649669 | − | 0.472012i | 0.213489 | − | 0.976945i | \(-0.431517\pi\) |
−0.863159 | + | 0.504933i | \(0.831517\pi\) | |||||||
\(272\) | −393713. | + | 286049.i | −0.322669 | + | 0.234433i | ||||
\(273\) | −148392. | + | 456702.i | −0.120504 | + | 0.370874i | ||||
\(274\) | −695493. | −0.559649 | ||||||||
\(275\) | 359204. | − | 911457.i | 0.286424 | − | 0.726782i | ||||
\(276\) | −1.82582e6 | −1.44273 | ||||||||
\(277\) | 577766. | − | 1.77818e6i | 0.452432 | − | 1.39244i | −0.421693 | − | 0.906739i | \(-0.638564\pi\) |
0.874124 | − | 0.485702i | \(-0.161436\pi\) | |||||||
\(278\) | 2.06496e6 | − | 1.50028e6i | 1.60250 | − | 1.16429i | ||||
\(279\) | 84911.8 | + | 61692.0i | 0.0653067 | + | 0.0474481i | ||||
\(280\) | −138454. | − | 426118.i | −0.105538 | − | 0.324814i | ||||
\(281\) | −193408. | − | 595248.i | −0.146120 | − | 0.449710i | 0.851034 | − | 0.525111i | \(-0.175976\pi\) |
−0.997153 | + | 0.0754013i | \(0.975976\pi\) | |||||||
\(282\) | 1.14914e6 | + | 834901.i | 0.860500 | + | 0.625190i | ||||
\(283\) | −925255. | + | 672237.i | −0.686745 | + | 0.498949i | −0.875589 | − | 0.483058i | \(-0.839526\pi\) |
0.188843 | + | 0.982007i | \(0.439526\pi\) | |||||||
\(284\) | −980427. | + | 3.01744e6i | −0.721306 | + | 2.21995i | ||||
\(285\) | −302981. | −0.220955 | ||||||||
\(286\) | −3.25286e6 | − | 199484.i | −2.35153 | − | 0.144209i | ||||
\(287\) | 173011. | 0.123985 | ||||||||
\(288\) | 191933. | − | 590709.i | 0.136354 | − | 0.419655i | ||||
\(289\) | 365802. | − | 265771.i | 0.257633 | − | 0.187182i | ||||
\(290\) | −1.20171e6 | − | 873096.i | −0.839085 | − | 0.609631i | ||||
\(291\) | 61233.0 | + | 188456.i | 0.0423890 | + | 0.130460i | ||||
\(292\) | 972889. | + | 2.99424e6i | 0.667738 | + | 2.05509i | ||||
\(293\) | −882438. | − | 641128.i | −0.600503 | − | 0.436291i | 0.245555 | − | 0.969383i | \(-0.421030\pi\) |
−0.846057 | + | 0.533092i | \(0.821030\pi\) | |||||||
\(294\) | −858649. | + | 623845.i | −0.579358 | + | 0.420928i | ||||
\(295\) | 917332. | − | 2.82326e6i | 0.613722 | − | 1.88884i | ||||
\(296\) | 335916. | 0.222844 | ||||||||
\(297\) | −225713. | − | 186125.i | −0.148479 | − | 0.122437i | ||||
\(298\) | −1.57511e6 | −1.02747 | ||||||||
\(299\) | −1.32631e6 | + | 4.08196e6i | −0.857959 | + | 2.64053i | ||||
\(300\) | −782500. | + | 568519.i | −0.501974 | + | 0.364705i | ||||
\(301\) | −634596. | − | 461061.i | −0.403721 | − | 0.293320i | ||||
\(302\) | −462384. | − | 1.42307e6i | −0.291733 | − | 0.897862i | ||||
\(303\) | 130188. | + | 400676.i | 0.0814635 | + | 0.250719i | ||||
\(304\) | 180594. | + | 131209.i | 0.112078 | + | 0.0814292i | ||||
\(305\) | 2.44509e6 | − | 1.77646e6i | 1.50503 | − | 1.09347i | ||||
\(306\) | 214689. | − | 660746.i | 0.131071 | − | 0.403395i | ||||
\(307\) | −1.81982e6 | −1.10200 | −0.551002 | − | 0.834504i | \(-0.685754\pi\) | ||||
−0.551002 | + | 0.834504i | \(0.685754\pi\) | |||||||
\(308\) | 780849. | + | 643895.i | 0.469019 | + | 0.386757i | ||||
\(309\) | 648980. | 0.386665 | ||||||||
\(310\) | −260471. | + | 801648.i | −0.153942 | + | 0.473783i | ||||
\(311\) | −279153. | + | 202816.i | −0.163660 | + | 0.118906i | −0.666601 | − | 0.745415i | \(-0.732251\pi\) |
0.502941 | + | 0.864321i | \(0.332251\pi\) | |||||||
\(312\) | 710906. | + | 516504.i | 0.413453 | + | 0.300391i | ||||
\(313\) | 4597.77 | + | 14150.5i | 0.00265269 | + | 0.00816414i | 0.952374 | − | 0.304932i | \(-0.0986338\pi\) |
−0.949721 | + | 0.313096i | \(0.898634\pi\) | |||||||
\(314\) | −860614. | − | 2.64870e6i | −0.492589 | − | 1.51603i | ||||
\(315\) | −280079. | − | 203489.i | −0.159039 | − | 0.115549i | ||||
\(316\) | 1.72348e6 | − | 1.25218e6i | 0.970933 | − | 0.705424i | ||||
\(317\) | −282562. | + | 869637.i | −0.157931 | + | 0.486060i | −0.998446 | − | 0.0557273i | \(-0.982252\pi\) |
0.840515 | + | 0.541788i | \(0.182252\pi\) | |||||||
\(318\) | 829428. | 0.459950 | ||||||||
\(319\) | 914655. | + | 56092.0i | 0.503247 | + | 0.0308620i | ||||
\(320\) | 3.80701e6 | 2.07830 | ||||||||
\(321\) | −457639. | + | 1.40847e6i | −0.247891 | + | 0.762929i | ||||
\(322\) | 1.86219e6 | − | 1.35296e6i | 1.00088 | − | 0.727185i | ||||
\(323\) | 359105. | + | 260905.i | 0.191521 | + | 0.139148i | ||||
\(324\) | 89254.9 | + | 274698.i | 0.0472356 | + | 0.145376i | ||||
\(325\) | 702608. | + | 2.16241e6i | 0.368982 | + | 1.13561i | ||||
\(326\) | −395377. | − | 287258.i | −0.206048 | − | 0.149702i | ||||
\(327\) | −137281. | + | 99740.3i | −0.0709970 | + | 0.0515824i | ||||
\(328\) | 97832.9 | − | 301099.i | 0.0502112 | − | 0.154534i | ||||
\(329\) | −1.03695e6 | −0.528164 | ||||||||
\(330\) | 861452. | − | 2.18588e6i | 0.435458 | − | 1.10495i | ||||
\(331\) | −1.46786e6 | −0.736404 | −0.368202 | − | 0.929746i | \(-0.620026\pi\) | ||||
−0.368202 | + | 0.929746i | \(0.620026\pi\) | |||||||
\(332\) | −1.08522e6 | + | 3.33995e6i | −0.540345 | + | 1.66301i | ||||
\(333\) | 209985. | − | 152563.i | 0.103771 | − | 0.0753942i | ||||
\(334\) | 2.08603e6 | + | 1.51559e6i | 1.02319 | + | 0.743388i | ||||
\(335\) | −1.03457e6 | − | 3.18407e6i | −0.503670 | − | 1.55014i | ||||
\(336\) | 78819.5 | + | 242582.i | 0.0380878 | + | 0.117222i | ||||
\(337\) | 952920. | + | 692337.i | 0.457069 | + | 0.332080i | 0.792380 | − | 0.610027i | \(-0.208842\pi\) |
−0.335311 | + | 0.942107i | \(0.608842\pi\) | |||||||
\(338\) | 3.49997e6 | − | 2.54288e6i | 1.66637 | − | 1.21069i | ||||
\(339\) | 553543. | − | 1.70363e6i | 0.261609 | − | 0.805149i | ||||
\(340\) | 3.23095e6 | 1.51577 | ||||||||
\(341\) | −130117. | − | 503462.i | −0.0605965 | − | 0.234467i | ||||
\(342\) | −318678. | −0.147328 | ||||||||
\(343\) | 536962. | − | 1.65260e6i | 0.246438 | − | 0.758459i | ||||
\(344\) | −1.16125e6 | + | 843697.i | −0.529090 | + | 0.384406i | ||||
\(345\) | −2.50332e6 | − | 1.81877e6i | −1.13232 | − | 0.822676i | ||||
\(346\) | 885017. | + | 2.72380e6i | 0.397430 | + | 1.22317i | ||||
\(347\) | −8012.39 | − | 24659.6i | −0.00357222 | − | 0.0109942i | 0.949255 | − | 0.314509i | \(-0.101840\pi\) |
−0.952827 | + | 0.303515i | \(0.901840\pi\) | |||||||
\(348\) | −731932. | − | 531780.i | −0.323983 | − | 0.235388i | ||||
\(349\) | 3.49304e6 | − | 2.53784e6i | 1.53511 | − | 1.11532i | 0.581801 | − | 0.813331i | \(-0.302348\pi\) |
0.953310 | − | 0.301993i | \(-0.0976519\pi\) | |||||||
\(350\) | 376805. | − | 1.15969e6i | 0.164417 | − | 0.506024i | ||||
\(351\) | 678975. | 0.294162 | ||||||||
\(352\) | −2.59560e6 | + | 1.65299e6i | −1.11656 | + | 0.711071i | ||||
\(353\) | 2.55594e6 | 1.09173 | 0.545863 | − | 0.837875i | \(-0.316202\pi\) | ||||
0.545863 | + | 0.837875i | \(0.316202\pi\) | |||||||
\(354\) | 964855. | − | 2.96952e6i | 0.409217 | − | 1.25944i | ||||
\(355\) | −4.35001e6 | + | 3.16047e6i | −1.83198 | + | 1.33101i | ||||
\(356\) | −4.75434e6 | − | 3.45423e6i | −1.98822 | − | 1.44453i | ||||
\(357\) | 156730. | + | 482366.i | 0.0650852 | + | 0.200312i | ||||
\(358\) | −377396. | − | 1.16150e6i | −0.155629 | − | 0.478976i | ||||
\(359\) | −2.34391e6 | − | 1.70295e6i | −0.959854 | − | 0.697375i | −0.00673751 | − | 0.999977i | \(-0.502145\pi\) |
−0.953117 | + | 0.302602i | \(0.902145\pi\) | |||||||
\(360\) | −512517. | + | 372365.i | −0.208426 | + | 0.151430i | ||||
\(361\) | −702239. | + | 2.16127e6i | −0.283607 | + | 0.872853i | ||||
\(362\) | −1.78615e6 | −0.716385 | ||||||||
\(363\) | 276107. | + | 1.42292e6i | 0.109979 | + | 0.566779i | ||||
\(364\) | −2.34890e6 | −0.929203 | ||||||||
\(365\) | −1.64878e6 | + | 5.07443e6i | −0.647785 | + | 1.99368i | ||||
\(366\) | 2.57176e6 | − | 1.86849e6i | 1.00352 | − | 0.729102i | ||||
\(367\) | −2.89734e6 | − | 2.10504e6i | −1.12288 | − | 0.815821i | −0.138238 | − | 0.990399i | \(-0.544144\pi\) |
−0.984643 | + | 0.174578i | \(0.944144\pi\) | |||||||
\(368\) | 704481. | + | 2.16817e6i | 0.271175 | + | 0.834591i | ||||
\(369\) | −75593.4 | − | 232653.i | −0.0289014 | − | 0.0889492i | ||||
\(370\) | 1.68638e6 | + | 1.22522e6i | 0.640398 | + | 0.465276i | ||||
\(371\) | −489868. | + | 355910.i | −0.184775 | + | 0.134247i | ||||
\(372\) | −158646. | + | 488263.i | −0.0594392 | + | 0.182935i | ||||
\(373\) | 3.39653e6 | 1.26405 | 0.632025 | − | 0.774948i | \(-0.282224\pi\) | ||||
0.632025 | + | 0.774948i | \(0.282224\pi\) | |||||||
\(374\) | −2.90335e6 | + | 1.84897e6i | −1.07330 | + | 0.683520i | ||||
\(375\) | 459143. | 0.168605 | ||||||||
\(376\) | −586367. | + | 1.80465e6i | −0.213895 | + | 0.658300i | ||||
\(377\) | −1.72058e6 | + | 1.25008e6i | −0.623479 | + | 0.452984i | ||||
\(378\) | −294588. | − | 214031.i | −0.106044 | − | 0.0770454i | ||||
\(379\) | −1.31704e6 | − | 4.05345e6i | −0.470980 | − | 1.44953i | −0.851303 | − | 0.524674i | \(-0.824187\pi\) |
0.380324 | − | 0.924853i | \(-0.375813\pi\) | |||||||
\(380\) | −457969. | − | 1.40948e6i | −0.162696 | − | 0.500727i | ||||
\(381\) | −263818. | − | 191675.i | −0.0931092 | − | 0.0676478i | ||||
\(382\) | −413040. | + | 300091.i | −0.144822 | + | 0.105219i | ||||
\(383\) | 646811. | − | 1.99068e6i | 0.225310 | − | 0.693433i | −0.772950 | − | 0.634467i | \(-0.781220\pi\) |
0.998260 | − | 0.0589662i | \(-0.0187804\pi\) | |||||||
\(384\) | 1.79585e6 | 0.621500 | ||||||||
\(385\) | 429186. | + | 1.66065e6i | 0.147569 | + | 0.570988i | ||||
\(386\) | 2.35593e6 | 0.804811 | ||||||||
\(387\) | −342728. | + | 1.05481e6i | −0.116325 | + | 0.358010i | ||||
\(388\) | −784148. | + | 569717.i | −0.264435 | + | 0.192123i | ||||
\(389\) | 1.72736e6 | + | 1.25500e6i | 0.578773 | + | 0.420503i | 0.838281 | − | 0.545238i | \(-0.183561\pi\) |
−0.259509 | + | 0.965741i | \(0.583561\pi\) | |||||||
\(390\) | 1.68501e6 | + | 5.18594e6i | 0.560973 | + | 1.72650i | ||||
\(391\) | 1.40084e6 | + | 4.31134e6i | 0.463390 | + | 1.42617i | ||||
\(392\) | −1.14706e6 | − | 833388.i | −0.377026 | − | 0.273925i | ||||
\(393\) | −1.99759e6 | + | 1.45133e6i | −0.652417 | + | 0.474008i | ||||
\(394\) | 1.51449e6 | − | 4.66113e6i | 0.491504 | − | 1.51269i | ||||
\(395\) | 3.61035e6 | 1.16428 | ||||||||
\(396\) | 524688. | − | 1.33136e6i | 0.168137 | − | 0.426637i | ||||
\(397\) | −3.05418e6 | −0.972564 | −0.486282 | − | 0.873802i | \(-0.661647\pi\) | ||||
−0.486282 | + | 0.873802i | \(0.661647\pi\) | |||||||
\(398\) | 108394. | − | 333602.i | 0.0343002 | − | 0.105565i | ||||
\(399\) | 188214. | − | 136745.i | 0.0591861 | − | 0.0430012i | ||||
\(400\) | 977042. | + | 709863.i | 0.305326 | + | 0.221832i | ||||
\(401\) | 185034. | + | 569475.i | 0.0574632 | + | 0.176853i | 0.975668 | − | 0.219252i | \(-0.0703616\pi\) |
−0.918205 | + | 0.396105i | \(0.870362\pi\) | |||||||
\(402\) | −1.08816e6 | − | 3.34902e6i | −0.335837 | − | 1.03360i | ||||
\(403\) | 976359. | + | 709366.i | 0.299466 | + | 0.217574i | ||||
\(404\) | −1.66718e6 | + | 1.21128e6i | −0.508193 | + | 0.369224i | ||||
\(405\) | −151263. | + | 465539.i | −0.0458242 | + | 0.141032i | ||||
\(406\) | 1.14057e6 | 0.343405 | ||||||||
\(407\) | −1.28355e6 | − | 78714.4i | −0.384083 | − | 0.0235542i | ||||
\(408\) | 928109. | 0.276025 | ||||||||
\(409\) | −19747.9 | + | 60777.8i | −0.00583731 | + | 0.0179654i | −0.953933 | − | 0.300021i | \(-0.903006\pi\) |
0.948095 | + | 0.317986i | \(0.103006\pi\) | |||||||
\(410\) | 1.58938e6 | − | 1.15475e6i | 0.466946 | − | 0.339256i | ||||
\(411\) | −580791. | − | 421970.i | −0.169596 | − | 0.123219i | ||||
\(412\) | 980960. | + | 3.01908e6i | 0.284714 | + | 0.876258i | ||||
\(413\) | 704376. | + | 2.16785e6i | 0.203203 | + | 0.625394i | ||||
\(414\) | −2.63300e6 | − | 1.91299e6i | −0.755006 | − | 0.548544i | ||||
\(415\) | −4.81495e6 | + | 3.49827e6i | −1.37237 | + | 0.997086i | ||||
\(416\) | 2.20694e6 | − | 6.79227e6i | 0.625256 | − | 1.92434i | ||||
\(417\) | 2.63465e6 | 0.741965 | ||||||||
\(418\) | 1.21814e6 | + | 1.00449e6i | 0.341001 | + | 0.281192i | ||||
\(419\) | 1.47226e6 | 0.409684 | 0.204842 | − | 0.978795i | \(-0.434332\pi\) | ||||
0.204842 | + | 0.978795i | \(0.434332\pi\) | |||||||
\(420\) | 523289. | − | 1.61052e6i | 0.144750 | − | 0.445495i | ||||
\(421\) | 3.77372e6 | − | 2.74177e6i | 1.03768 | − | 0.753920i | 0.0678500 | − | 0.997696i | \(-0.478386\pi\) |
0.969832 | + | 0.243776i | \(0.0783861\pi\) | |||||||
\(422\) | 4.68862e6 | + | 3.40648e6i | 1.28163 | + | 0.931162i | ||||
\(423\) | 453073. | + | 1.39442e6i | 0.123117 | + | 0.378915i | ||||
\(424\) | 342398. | + | 1.05379e6i | 0.0924947 | + | 0.284669i | ||||
\(425\) | 1.94282e6 | + | 1.41154e6i | 0.521747 | + | 0.379071i | ||||
\(426\) | −4.57537e6 | + | 3.32420e6i | −1.22152 | + | 0.887489i | ||||
\(427\) | −717129. | + | 2.20710e6i | −0.190339 | + | 0.585803i | ||||
\(428\) | −7.24399e6 | −1.91147 | ||||||||
\(429\) | −2.59537e6 | − | 2.14016e6i | −0.680856 | − | 0.561440i | ||||
\(430\) | −8.90705e6 | −2.32307 | ||||||||
\(431\) | 867142. | − | 2.66879e6i | 0.224852 | − | 0.692024i | −0.773454 | − | 0.633852i | \(-0.781473\pi\) |
0.998307 | − | 0.0581719i | \(-0.0185272\pi\) | |||||||
\(432\) | 291767. | − | 211981.i | 0.0752189 | − | 0.0546498i | ||||
\(433\) | 3.58111e6 | + | 2.60183e6i | 0.917906 | + | 0.666898i | 0.943002 | − | 0.332787i | \(-0.107989\pi\) |
−0.0250959 | + | 0.999685i | \(0.507989\pi\) | |||||||
\(434\) | −200004. | − | 615548.i | −0.0509699 | − | 0.156869i | ||||
\(435\) | −473800. | − | 1.45821e6i | −0.120053 | − | 0.369485i | ||||
\(436\) | −671501. | − | 487874.i | −0.169173 | − | 0.122911i | ||||
\(437\) | 1.68224e6 | − | 1.22222e6i | 0.421390 | − | 0.306157i | ||||
\(438\) | −1.73420e6 | + | 5.33731e6i | −0.431930 | + | 1.32934i | ||||
\(439\) | −724091. | −0.179321 | −0.0896606 | − | 0.995972i | \(-0.528578\pi\) | ||||
−0.0896606 | + | 0.995972i | \(0.528578\pi\) | |||||||
\(440\) | 3.13280e6 | + | 192121.i | 0.771437 | + | 0.0473090i | ||||
\(441\) | −1.09554e6 | −0.268245 | ||||||||
\(442\) | 2.46861e6 | − | 7.59759e6i | 0.601030 | − | 1.84978i | ||||
\(443\) | 4.56806e6 | − | 3.31889e6i | 1.10592 | − | 0.803496i | 0.123902 | − | 0.992294i | \(-0.460459\pi\) |
0.982016 | + | 0.188798i | \(0.0604592\pi\) | |||||||
\(444\) | 1.02713e6 | + | 746252.i | 0.247268 | + | 0.179650i | ||||
\(445\) | −3.07762e6 | − | 9.47194e6i | −0.736741 | − | 2.26746i | ||||
\(446\) | 518836. | + | 1.59681e6i | 0.123507 | + | 0.380116i | ||||
\(447\) | −1.31534e6 | − | 955649.i | −0.311364 | − | 0.226219i | ||||
\(448\) | −2.36494e6 | + | 1.71823e6i | −0.556704 | + | 0.404469i | ||||
\(449\) | −1.62482e6 | + | 5.00067e6i | −0.380355 | + | 1.17061i | 0.559440 | + | 0.828871i | \(0.311016\pi\) |
−0.939794 | + | 0.341740i | \(0.888984\pi\) | |||||||
\(450\) | −1.72410e6 | −0.401357 | ||||||||
\(451\) | −444379. | + | 1.12758e6i | −0.102875 | + | 0.261040i | ||||
\(452\) | 8.76206e6 | 2.01725 | ||||||||
\(453\) | 477280. | − | 1.46892e6i | 0.109277 | − | 0.336319i | ||||
\(454\) | 984740. | − | 715455.i | 0.224224 | − | 0.162908i | ||||
\(455\) | −3.22049e6 | − | 2.33982e6i | −0.729278 | − | 0.529851i | ||||
\(456\) | −131554. | − | 404882.i | −0.0296273 | − | 0.0911836i | ||||
\(457\) | −731089. | − | 2.25006e6i | −0.163749 | − | 0.503969i | 0.835193 | − | 0.549958i | \(-0.185356\pi\) |
−0.998942 | + | 0.0459888i | \(0.985356\pi\) | |||||||
\(458\) | −6.54228e6 | − | 4.75325e6i | −1.45736 | − | 1.05883i | ||||
\(459\) | 580170. | − | 421519.i | 0.128536 | − | 0.0933867i | ||||
\(460\) | 4.67711e6 | − | 1.43947e7i | 1.03058 | − | 3.17181i | ||||
\(461\) | 2.58847e6 | 0.567272 | 0.283636 | − | 0.958932i | \(-0.408459\pi\) | ||||
0.283636 | + | 0.958932i | \(0.408459\pi\) | |||||||
\(462\) | 451420. | + | 1.74668e6i | 0.0983957 | + | 0.380723i | ||||
\(463\) | −4.72665e6 | −1.02471 | −0.512355 | − | 0.858773i | \(-0.671227\pi\) | ||||
−0.512355 | + | 0.858773i | \(0.671227\pi\) | |||||||
\(464\) | −349080. | + | 1.07436e6i | −0.0752713 | + | 0.231661i | ||||
\(465\) | −703891. | + | 511407.i | −0.150964 | + | 0.109682i | ||||
\(466\) | 6.28691e6 | + | 4.56771e6i | 1.34114 | + | 0.974392i | ||||
\(467\) | −738129. | − | 2.27173e6i | −0.156617 | − | 0.482019i | 0.841704 | − | 0.539940i | \(-0.181553\pi\) |
−0.998321 | + | 0.0579207i | \(0.981553\pi\) | |||||||
\(468\) | 1.02630e6 | + | 3.15862e6i | 0.216600 | + | 0.666627i | ||||
\(469\) | 2.07975e6 | + | 1.51103e6i | 0.436596 | + | 0.317205i | ||||
\(470\) | −9.52601e6 | + | 6.92105e6i | −1.98914 | + | 1.44520i | ||||
\(471\) | 888339. | − | 2.73403e6i | 0.184513 | − | 0.567872i | ||||
\(472\) | 4.17110e6 | 0.861778 | ||||||||
\(473\) | 4.63487e6 | − | 2.95168e6i | 0.952544 | − | 0.606619i | ||||
\(474\) | 3.79738e6 | 0.776316 | ||||||||
\(475\) | 340393. | − | 1.04762e6i | 0.0692224 | − | 0.213045i | ||||
\(476\) | −2.00708e6 | + | 1.45823e6i | −0.406021 | + | 0.294991i | ||||
\(477\) | 692638. | + | 503231.i | 0.139383 | + | 0.101268i | ||||
\(478\) | 181036. | + | 557172.i | 0.0362406 | + | 0.111537i | ||||
\(479\) | −986840. | − | 3.03718e6i | −0.196521 | − | 0.604828i | −0.999955 | − | 0.00943551i | \(-0.996997\pi\) |
0.803435 | − | 0.595393i | \(-0.203003\pi\) | |||||||
\(480\) | 4.16545e6 | + | 3.02638e6i | 0.825199 | + | 0.599543i | ||||
\(481\) | 2.41451e6 | − | 1.75424e6i | 0.475846 | − | 0.345722i | ||||
\(482\) | −1.49960e6 | + | 4.61529e6i | −0.294007 | + | 0.904860i | ||||
\(483\) | 2.37594e6 | 0.463413 | ||||||||
\(484\) | −6.20213e6 | + | 3.43526e6i | −1.20345 | + | 0.666571i | ||||
\(485\) | −1.64263e6 | −0.317092 | ||||||||
\(486\) | −159099. | + | 489656.i | −0.0305546 | + | 0.0940374i | ||||
\(487\) | −3.76246e6 | + | 2.73359e6i | −0.718869 | + | 0.522289i | −0.886023 | − | 0.463642i | \(-0.846542\pi\) |
0.167154 | + | 0.985931i | \(0.446542\pi\) | |||||||
\(488\) | 3.43559e6 | + | 2.49610e6i | 0.653057 | + | 0.474474i | ||||
\(489\) | −155886. | − | 479767.i | −0.0294805 | − | 0.0907315i | ||||
\(490\) | −2.71880e6 | − | 8.36761e6i | −0.511549 | − | 1.57439i | ||||
\(491\) | 4.18066e6 | + | 3.03743e6i | 0.782602 | + | 0.568594i | 0.905759 | − | 0.423794i | \(-0.139302\pi\) |
−0.123157 | + | 0.992387i | \(0.539302\pi\) | |||||||
\(492\) | 968047. | − | 703328.i | 0.180295 | − | 0.130992i | ||||
\(493\) | −694135. | + | 2.13633e6i | −0.128625 | + | 0.395868i | ||||
\(494\) | −3.66432e6 | −0.675578 | ||||||||
\(495\) | 2.04560e6 | − | 1.30272e6i | 0.375239 | − | 0.238968i | ||||
\(496\) | 641028. | 0.116996 | ||||||||
\(497\) | 1.27583e6 | − | 3.92661e6i | 0.231687 | − | 0.713060i | ||||
\(498\) | −5.06439e6 | + | 3.67949e6i | −0.915069 | + | 0.664836i | ||||
\(499\) | 8.60434e6 | + | 6.25142e6i | 1.54691 | + | 1.12390i | 0.945807 | + | 0.324729i | \(0.105273\pi\) |
0.601106 | + | 0.799169i | \(0.294727\pi\) | |||||||
\(500\) | 694013. | + | 2.13595e6i | 0.124149 | + | 0.382091i | ||||
\(501\) | 822461. | + | 2.53128e6i | 0.146393 | + | 0.450552i | ||||
\(502\) | 1.81308e6 | + | 1.31728e6i | 0.321113 | + | 0.233302i | ||||
\(503\) | −6.17983e6 | + | 4.48991e6i | −1.08907 | + | 0.791257i | −0.979242 | − | 0.202693i | \(-0.935031\pi\) |
−0.109830 | + | 0.993950i | \(0.535031\pi\) | |||||||
\(504\) | 150318. | − | 462631.i | 0.0263593 | − | 0.0811257i | ||||
\(505\) | −3.49240e6 | −0.609391 | ||||||||
\(506\) | 4.03475e6 | + | 1.56117e7i | 0.700552 | + | 2.71065i | ||||
\(507\) | 4.46557e6 | 0.771537 | ||||||||
\(508\) | 492909. | − | 1.51702e6i | 0.0847438 | − | 0.260814i | ||||
\(509\) | −4.24959e6 | + | 3.08751e6i | −0.727030 | + | 0.528218i | −0.888622 | − | 0.458639i | \(-0.848337\pi\) |
0.161593 | + | 0.986858i | \(0.448337\pi\) | |||||||
\(510\) | 4.65932e6 | + | 3.38520e6i | 0.793227 | + | 0.576313i | ||||
\(511\) | −1.26602e6 | − | 3.89642e6i | −0.214481 | − | 0.660105i | ||||
\(512\) | −1.68506e6 | − | 5.18609e6i | −0.284081 | − | 0.874310i | ||||
\(513\) | −266121. | − | 193348.i | −0.0446463 | − | 0.0324375i | ||||
\(514\) | 6.94570e6 | − | 5.04635e6i | 1.15960 | − | 0.842499i | ||||
\(515\) | −1.66246e6 | + | 5.11652e6i | −0.276206 | + | 0.850074i | ||||
\(516\) | −5.42505e6 | −0.896974 | ||||||||
\(517\) | 2.66341e6 | − | 6.75823e6i | 0.438239 | − | 1.11200i | ||||
\(518\) | −1.60057e6 | −0.262090 | ||||||||
\(519\) | −913527. | + | 2.81155e6i | −0.148869 | + | 0.458170i | ||||
\(520\) | −5.89318e6 | + | 4.28164e6i | −0.955743 | + | 0.694388i | ||||
\(521\) | −9.56223e6 | − | 6.94737e6i | −1.54335 | − | 1.12131i | −0.948190 | − | 0.317705i | \(-0.897088\pi\) |
−0.595162 | − | 0.803606i | \(-0.702912\pi\) | |||||||
\(522\) | −498346. | − | 1.53375e6i | −0.0800488 | − | 0.246365i | ||||
\(523\) | 164610. | + | 506616.i | 0.0263148 | + | 0.0809887i | 0.963351 | − | 0.268242i | \(-0.0864428\pi\) |
−0.937037 | + | 0.349231i | \(0.886443\pi\) | |||||||
\(524\) | −9.77110e6 | − | 7.09912e6i | −1.55459 | − | 1.12947i | ||||
\(525\) | 1.01827e6 | − | 739815.i | 0.161237 | − | 0.117145i | ||||
\(526\) | −1.66834e6 | + | 5.13462e6i | −0.262918 | + | 0.809179i | ||||
\(527\) | 1.27466e6 | 0.199926 | ||||||||
\(528\) | −1.78345e6 | − | 109371.i | −0.278404 | − | 0.0170734i | ||||
\(529\) | 1.47996e7 | 2.29938 | ||||||||
\(530\) | −2.12470e6 | + | 6.53916e6i | −0.328555 | + | 1.01119i | ||||
\(531\) | 2.60740e6 | − | 1.89439e6i | 0.401302 | − | 0.291563i | ||||
\(532\) | 920638. | + | 668883.i | 0.141029 | + | 0.102464i | ||||
\(533\) | −869212. | − | 2.67516e6i | −0.132528 | − | 0.407879i | ||||
\(534\) | −3.23706e6 | − | 9.96264e6i | −0.491244 | − | 1.51189i | ||||
\(535\) | −9.93196e6 | − | 7.21599e6i | −1.50021 | − | 1.08996i | ||||
\(536\) | 3.80575e6 | − | 2.76504e6i | 0.572174 | − | 0.415709i | ||||
\(537\) | 389553. | − | 1.19892e6i | 0.0582950 | − | 0.179414i | ||||
\(538\) | −1.61239e7 | −2.40168 | ||||||||
\(539\) | 4.18767e6 | + | 3.45319e6i | 0.620870 | + | 0.511975i | ||||
\(540\) | −2.39435e6 | −0.353348 | ||||||||
\(541\) | −2.38634e6 | + | 7.34440e6i | −0.350541 | + | 1.07885i | 0.608009 | + | 0.793930i | \(0.291969\pi\) |
−0.958550 | + | 0.284924i | \(0.908031\pi\) | |||||||
\(542\) | 6.84838e6 | − | 4.97564e6i | 1.00136 | − | 0.727530i | ||||
\(543\) | −1.49158e6 | − | 1.08369e6i | −0.217093 | − | 0.157727i | ||||
\(544\) | −2.33096e6 | − | 7.17396e6i | −0.337705 | − | 1.03935i | ||||
\(545\) | −434682. | − | 1.33781e6i | −0.0626874 | − | 0.192932i | ||||
\(546\) | −3.38732e6 | − | 2.46104e6i | −0.486268 | − | 0.353294i | ||||
\(547\) | −8.14272e6 | + | 5.91603e6i | −1.16359 | + | 0.845400i | −0.990228 | − | 0.139457i | \(-0.955464\pi\) |
−0.173366 | + | 0.984858i | \(0.555464\pi\) | |||||||
\(548\) | 1.08513e6 | − | 3.33969e6i | 0.154359 | − | 0.475067i | ||||
\(549\) | 3.28127e6 | 0.464635 | ||||||||
\(550\) | 6.59032e6 | + | 5.43444e6i | 0.928966 | + | 0.766034i | ||||
\(551\) | 1.03035e6 | 0.144579 | ||||||||
\(552\) | 1.34353e6 | − | 4.13495e6i | 0.187672 | − | 0.577594i | ||||
\(553\) | −2.24277e6 | + | 1.62947e6i | −0.311869 | + | 0.226586i | ||||
\(554\) | 1.31886e7 | + | 9.58211e6i | 1.82568 | + | 1.32644i | ||||
\(555\) | 664889. | + | 2.04632e6i | 0.0916256 | + | 0.281994i | ||||
\(556\) | 3.98238e6 | + | 1.22565e7i | 0.546331 | + | 1.68144i | ||||
\(557\) | −5.20205e6 | − | 3.77951e6i | −0.710454 | − | 0.516175i | 0.172866 | − | 0.984945i | \(-0.444697\pi\) |
−0.883320 | + | 0.468770i | \(0.844697\pi\) | |||||||
\(558\) | −740356. | + | 537900.i | −0.100660 | + | 0.0731335i | ||||
\(559\) | −3.94086e6 | + | 1.21287e7i | −0.533410 | + | 1.64167i | ||||
\(560\) | −2.11441e6 | −0.284917 | ||||||||
\(561\) | −3.54633e6 | − | 217482.i | −0.475743 | − | 0.0291753i | ||||
\(562\) | 5.45713e6 | 0.728825 | ||||||||
\(563\) | 726145. | − | 2.23484e6i | 0.0965500 | − | 0.297150i | −0.891105 | − | 0.453798i | \(-0.850069\pi\) |
0.987655 | + | 0.156648i | \(0.0500687\pi\) | |||||||
\(564\) | −5.80205e6 | + | 4.21543e6i | −0.768039 | + | 0.558013i | ||||
\(565\) | 1.20133e7 | + | 8.72820e6i | 1.58323 | + | 1.15028i | ||||
\(566\) | −3.08148e6 | − | 9.48381e6i | −0.404313 | − | 1.24435i | ||||
\(567\) | −116148. | − | 357465.i | −0.0151723 | − | 0.0466956i | ||||
\(568\) | −6.11219e6 | − | 4.44077e6i | −0.794925 | − | 0.577547i | ||||
\(569\) | −2.82737e6 | + | 2.05421e6i | −0.366102 | + | 0.265989i | −0.755593 | − | 0.655042i | \(-0.772651\pi\) |
0.389491 | + | 0.921030i | \(0.372651\pi\) | |||||||
\(570\) | 816340. | − | 2.51244e6i | 0.105241 | − | 0.323898i | ||||
\(571\) | 1.17143e7 | 1.50358 | 0.751789 | − | 0.659403i | \(-0.229191\pi\) | ||||
0.751789 | + | 0.659403i | \(0.229191\pi\) | |||||||
\(572\) | 6.03313e6 | − | 1.53087e7i | 0.770997 | − | 1.95636i | ||||
\(573\) | −526993. | −0.0670530 | ||||||||
\(574\) | −466154. | + | 1.43467e6i | −0.0590540 | + | 0.181750i | ||||
\(575\) | 9.10118e6 | − | 6.61240e6i | 1.14796 | − | 0.834044i | ||||
\(576\) | 3.34385e6 | + | 2.42945e6i | 0.419943 | + | 0.305107i | ||||
\(577\) | −116702. | − | 359172.i | −0.0145928 | − | 0.0449121i | 0.943495 | − | 0.331387i | \(-0.107517\pi\) |
−0.958088 | + | 0.286475i | \(0.907517\pi\) | |||||||
\(578\) | 1.21827e6 | + | 3.74945e6i | 0.151679 | + | 0.466819i | ||||
\(579\) | 1.96739e6 | + | 1.42939e6i | 0.243890 | + | 0.177196i | ||||
\(580\) | 6.06747e6 | − | 4.40828e6i | 0.748924 | − | 0.544125i | ||||
\(581\) | 1.41219e6 | − | 4.34629e6i | 0.173562 | − | 0.534168i | ||||
\(582\) | −1.72773e6 | −0.211431 | ||||||||
\(583\) | −1.06138e6 | − | 4.10681e6i | −0.129330 | − | 0.500419i | ||||
\(584\) | −7.49699e6 | −0.909609 | ||||||||
\(585\) | −1.73930e6 | + | 5.35300e6i | −0.210128 | + | 0.646707i | ||||
\(586\) | 7.69408e6 | − | 5.59007e6i | 0.925577 | − | 0.672471i | ||||
\(587\) | −4.51049e6 | − | 3.27706e6i | −0.540292 | − | 0.392545i | 0.283901 | − | 0.958853i | \(-0.408371\pi\) |
−0.824194 | + | 0.566308i | \(0.808371\pi\) | |||||||
\(588\) | −1.65595e6 | − | 5.09649e6i | −0.197517 | − | 0.607894i | ||||
\(589\) | −180677. | − | 556065.i | −0.0214592 | − | 0.0660446i | ||||
\(590\) | 2.09399e7 | + | 1.52137e7i | 2.47653 | + | 1.79931i | ||||
\(591\) | 4.09273e6 | − | 2.97354e6i | 0.481997 | − | 0.350191i | ||||
\(592\) | 489867. | − | 1.50766e6i | 0.0574479 | − | 0.176806i | ||||
\(593\) | 8.90139e6 | 1.03949 | 0.519746 | − | 0.854321i | \(-0.326027\pi\) | ||||
0.519746 | + | 0.854321i | \(0.326027\pi\) | |||||||
\(594\) | 2.15157e6 | − | 1.37021e6i | 0.250201 | − | 0.159339i | ||||
\(595\) | −4.20444e6 | −0.486873 | ||||||||
\(596\) | 2.45753e6 | − | 7.56351e6i | 0.283389 | − | 0.872183i | ||||
\(597\) | 292920. | − | 212819.i | 0.0336367 | − | 0.0244385i | ||||
\(598\) | −3.02756e7 | − | 2.19965e7i | −3.46210 | − | 2.51536i | ||||
\(599\) | −1.28684e6 | − | 3.96048e6i | −0.146540 | − | 0.451004i | 0.850666 | − | 0.525707i | \(-0.176199\pi\) |
−0.997206 | + | 0.0747028i | \(0.976199\pi\) | |||||||
\(600\) | −711730. | − | 2.19048e6i | −0.0807118 | − | 0.248405i | ||||
\(601\) | 5.56959e6 | + | 4.04654e6i | 0.628980 | + | 0.456981i | 0.856047 | − | 0.516898i | \(-0.172914\pi\) |
−0.227067 | + | 0.973879i | \(0.572914\pi\) | |||||||
\(602\) | 5.53311e6 | − | 4.02004e6i | 0.622269 | − | 0.452105i | ||||
\(603\) | 1.12322e6 | − | 3.45691e6i | 0.125797 | − | 0.387164i | ||||
\(604\) | 7.55488e6 | 0.842627 | ||||||||
\(605\) | −1.19255e7 | − | 1.46820e6i | −1.32461 | − | 0.163079i | ||||
\(606\) | −3.67333e6 | −0.406329 | ||||||||
\(607\) | 1.88636e6 | − | 5.80563e6i | 0.207804 | − | 0.639554i | −0.791783 | − | 0.610803i | \(-0.790847\pi\) |
0.999587 | − | 0.0287517i | \(-0.00915320\pi\) | |||||||
\(608\) | −2.79920e6 | + | 2.03374e6i | −0.307097 | + | 0.223119i | ||||
\(609\) | 952464. | + | 692006.i | 0.104065 | + | 0.0756078i | ||||
\(610\) | 8.14314e6 | + | 2.50620e7i | 0.886068 | + | 2.72704i | ||||
\(611\) | 5.20967e6 | + | 1.60337e7i | 0.564556 | + | 1.73752i | ||||
\(612\) | 2.83787e6 | + | 2.06184e6i | 0.306277 | + | 0.222523i | ||||
\(613\) | −8.25649e6 | + | 5.99869e6i | −0.887451 | + | 0.644771i | −0.935212 | − | 0.354088i | \(-0.884791\pi\) |
0.0477614 | + | 0.998859i | \(0.484791\pi\) | |||||||
\(614\) | 4.90325e6 | − | 1.50907e7i | 0.524884 | − | 1.61543i | ||||
\(615\) | 2.02786e6 | 0.216198 | ||||||||
\(616\) | −2.03282e6 | + | 1.29459e6i | −0.215848 | + | 0.137461i | ||||
\(617\) | −6.72056e6 | −0.710710 | −0.355355 | − | 0.934731i | \(-0.615640\pi\) | ||||
−0.355355 | + | 0.934731i | \(0.615640\pi\) | |||||||
\(618\) | −1.74858e6 | + | 5.38159e6i | −0.184168 | + | 0.566812i | ||||
\(619\) | −1.33883e6 | + | 972718.i | −0.140443 | + | 0.102038i | −0.655788 | − | 0.754945i | \(-0.727664\pi\) |
0.515346 | + | 0.856982i | \(0.327664\pi\) | |||||||
\(620\) | −3.44304e6 | − | 2.50152e6i | −0.359719 | − | 0.261351i | ||||
\(621\) | −1.03812e6 | − | 3.19499e6i | −0.108023 | − | 0.332461i | ||||
\(622\) | −929693. | − | 2.86130e6i | −0.0963526 | − | 0.296543i | ||||
\(623\) | 6.18683e6 | + | 4.49500e6i | 0.638628 | + | 0.463991i | ||||
\(624\) | 3.35489e6 | − | 2.43747e6i | 0.344919 | − | 0.250598i | ||||
\(625\) | −3.53358e6 | + | 1.08752e7i | −0.361839 | + | 1.11363i | ||||
\(626\) | −129729. | −0.0132313 | ||||||||
\(627\) | 407798. | + | 1.57789e6i | 0.0414263 | + | 0.160291i | ||||
\(628\) | 1.40616e7 | 1.42277 | ||||||||
\(629\) | 974086. | − | 2.99793e6i | 0.0981682 | − | 0.302131i | ||||
\(630\) | 2.44204e6 | − | 1.77424e6i | 0.245133 | − | 0.178099i | ||||
\(631\) | −2.76792e6 | − | 2.01101e6i | −0.276746 | − | 0.201067i | 0.440751 | − | 0.897629i | \(-0.354712\pi\) |
−0.717497 | + | 0.696562i | \(0.754712\pi\) | |||||||
\(632\) | 1.56761e6 | + | 4.82460e6i | 0.156115 | + | 0.480473i | ||||
\(633\) | 1.84859e6 | + | 5.68937e6i | 0.183371 | + | 0.564358i | ||||
\(634\) | −6.45003e6 | − | 4.68622e6i | −0.637293 | − | 0.463020i | ||||
\(635\) | 2.18697e6 | − | 1.58892e6i | 0.215233 | − | 0.156376i | ||||
\(636\) | −1.29410e6 | + | 3.98283e6i | −0.126860 | + | 0.390435i | ||||
\(637\) | −1.25971e7 | −1.23004 | ||||||||
\(638\) | −2.92954e6 | + | 7.43353e6i | −0.284937 | + | 0.723009i | ||||
\(639\) | −5.83765e6 | −0.565570 | ||||||||
\(640\) | −4.60033e6 | + | 1.41583e7i | −0.443955 | + | 1.36635i | ||||
\(641\) | −1.03797e7 | + | 7.54131e6i | −0.997793 | + | 0.724939i | −0.961614 | − | 0.274406i | \(-0.911519\pi\) |
−0.0361793 | + | 0.999345i | \(0.511519\pi\) | |||||||
\(642\) | −1.04465e7 | − | 7.58982e6i | −1.00031 | − | 0.726765i | ||||
\(643\) | 2.00150e6 | + | 6.15998e6i | 0.190910 | + | 0.587560i | 1.00000 | 0.000124612i | \(-3.96653e-5\pi\) | |
−0.809090 | + | 0.587684i | \(0.800040\pi\) | |||||||
\(644\) | 3.59133e6 | + | 1.10530e7i | 0.341225 | + | 1.05018i | ||||
\(645\) | −7.43809e6 | − | 5.40409e6i | −0.703983 | − | 0.511474i | ||||
\(646\) | −3.13108e6 | + | 2.27486e6i | −0.295198 | + | 0.214474i | ||||
\(647\) | 1.20556e6 | − | 3.71033e6i | 0.113221 | − | 0.348459i | −0.878351 | − | 0.478017i | \(-0.841356\pi\) |
0.991572 | + | 0.129558i | \(0.0413558\pi\) | |||||||
\(648\) | −687790. | −0.0643455 | ||||||||
\(649\) | −1.59379e7 | − | 977405.i | −1.48532 | − | 0.0910883i | ||||
\(650\) | −1.98245e7 | −1.84043 | ||||||||
\(651\) | 206447. | − | 635378.i | 0.0190922 | − | 0.0587597i | ||||
\(652\) | 1.99627e6 | − | 1.45037e6i | 0.183908 | − | 0.133617i | ||||
\(653\) | −1.21246e7 | − | 8.80903e6i | −1.11272 | − | 0.808435i | −0.129626 | − | 0.991563i | \(-0.541378\pi\) |
−0.983089 | + | 0.183128i | \(0.941378\pi\) | |||||||
\(654\) | −457201. | − | 1.40712e6i | −0.0417987 | − | 0.128643i | ||||
\(655\) | −6.32511e6 | − | 1.94667e7i | −0.576056 | − | 1.77292i | ||||
\(656\) | −1.20872e6 | − | 878186.i | −0.109665 | − | 0.0796759i | ||||
\(657\) | −4.68645e6 | + | 3.40490e6i | −0.423575 | + | 0.307745i | ||||
\(658\) | 2.79392e6 | − | 8.59880e6i | 0.251564 | − | 0.774235i | ||||
\(659\) | 8.91337e6 | 0.799518 | 0.399759 | − | 0.916620i | \(-0.369094\pi\) | ||||
0.399759 | + | 0.916620i | \(0.369094\pi\) | |||||||
\(660\) | 9.15233e6 | + | 7.54709e6i | 0.817846 | + | 0.674404i | ||||
\(661\) | 5.09959e6 | 0.453975 | 0.226987 | − | 0.973898i | \(-0.427112\pi\) | ||||
0.226987 | + | 0.973898i | \(0.427112\pi\) | |||||||
\(662\) | 3.95495e6 | − | 1.21721e7i | 0.350749 | − | 1.07949i | ||||
\(663\) | 6.67109e6 | − | 4.84683e6i | 0.589404 | − | 0.428227i | ||||
\(664\) | −6.76547e6 | − | 4.91540e6i | −0.595494 | − | 0.432652i | ||||
\(665\) | 595955. | + | 1.83416e6i | 0.0522588 | + | 0.160836i | ||||
\(666\) | 699334. | + | 2.15233e6i | 0.0610941 | + | 0.188028i | ||||
\(667\) | 8.51303e6 | + | 6.18508e6i | 0.740917 | + | 0.538308i | ||||
\(668\) | −1.05324e7 | + | 7.65225e6i | −0.913244 | + | 0.663511i | ||||
\(669\) | −535550. | + | 1.64825e6i | −0.0462631 | + | 0.142383i | ||||
\(670\) | 2.91910e7 | 2.51224 | ||||||||
\(671\) | −1.25426e7 | − | 1.03427e7i | −1.07543 | − | 0.886807i | ||||
\(672\) | −3.95351e6 | −0.337722 | ||||||||
\(673\) | 6.22500e6 | − | 1.91586e7i | 0.529787 | − | 1.63052i | −0.224862 | − | 0.974391i | \(-0.572193\pi\) |
0.754650 | − | 0.656128i | \(-0.227807\pi\) | |||||||
\(674\) | −8.30862e6 | + | 6.03657e6i | −0.704497 | + | 0.511847i | ||||
\(675\) | −1.43976e6 | − | 1.04605e6i | −0.121627 | − | 0.0883672i | ||||
\(676\) | 6.74988e6 | + | 2.07740e7i | 0.568106 | + | 1.74845i | ||||
\(677\) | 5.08978e6 | + | 1.56647e7i | 0.426803 | + | 1.31357i | 0.901257 | + | 0.433285i | \(0.142646\pi\) |
−0.474454 | + | 0.880280i | \(0.657354\pi\) | |||||||
\(678\) | 1.26357e7 | + | 9.18037e6i | 1.05566 | + | 0.766984i | ||||
\(679\) | 1.02041e6 | − | 741373.i | 0.0849379 | − | 0.0617110i | ||||
\(680\) | −2.37749e6 | + | 7.31715e6i | −0.197172 | + | 0.606834i | ||||
\(681\) | 1.25642e6 | 0.103816 | ||||||||
\(682\) | 4.52548e6 | + | 277529.i | 0.372566 | + | 0.0228479i | ||||
\(683\) | −6.19862e6 | −0.508444 | −0.254222 | − | 0.967146i | \(-0.581819\pi\) | ||||
−0.254222 | + | 0.967146i | \(0.581819\pi\) | |||||||
\(684\) | 497211. | − | 1.53026e6i | 0.0406351 | − | 0.125062i | ||||
\(685\) | 4.81457e6 | − | 3.49799e6i | 0.392040 | − | 0.284834i | ||||
\(686\) | 1.22572e7 | + | 8.90538e6i | 0.994446 | + | 0.722507i | ||||
\(687\) | −2.57943e6 | − | 7.93868e6i | −0.208513 | − | 0.641736i | ||||
\(688\) | 2.09322e6 | + | 6.44228e6i | 0.168595 | + | 0.518882i | ||||
\(689\) | 7.96430e6 | + | 5.78640e6i | 0.639145 | + | 0.464366i | ||||
\(690\) | 2.18267e7 | − | 1.58580e7i | 1.74528 | − | 1.26802i | ||||
\(691\) | −246902. | + | 759887.i | −0.0196711 | + | 0.0605416i | −0.960410 | − | 0.278590i | \(-0.910133\pi\) |
0.940739 | + | 0.339131i | \(0.110133\pi\) | |||||||
\(692\) | −1.44603e7 | −1.14792 | ||||||||
\(693\) | −682777. | + | 1.73251e6i | −0.0540065 | + | 0.137038i | ||||
\(694\) | 226075. | 0.0178178 | ||||||||
\(695\) | −6.74906e6 | + | 2.07715e7i | −0.530006 | + | 1.63119i | ||||
\(696\) | 1.74292e6 | − | 1.26630e6i | 0.136381 | − | 0.0990866i | ||||
\(697\) | −2.40350e6 | − | 1.74625e6i | −0.187397 | − | 0.136152i | ||||
\(698\) | 1.16332e7 | + | 3.58034e7i | 0.903779 | + | 2.78155i | ||||
\(699\) | 2.47875e6 | + | 7.62880e6i | 0.191884 | + | 0.590559i | ||||
\(700\) | 4.98080e6 | + | 3.61877e6i | 0.384197 | + | 0.279136i | ||||
\(701\) | 1.17605e7 | − | 8.54447e6i | 0.903918 | − | 0.656735i | −0.0355513 | − | 0.999368i | \(-0.511319\pi\) |
0.939469 | + | 0.342633i | \(0.111319\pi\) | |||||||
\(702\) | −1.82940e6 | + | 5.63032e6i | −0.140109 | + | 0.431211i | ||||
\(703\) | −1.44590e6 | −0.110344 | ||||||||
\(704\) | −5.12404e6 | − | 1.98265e7i | −0.389655 | − | 1.50770i | ||||
\(705\) | −1.21541e7 | −0.920981 | ||||||||
\(706\) | −6.88660e6 | + | 2.11948e7i | −0.519988 | + | 1.60036i | ||||
\(707\) | 2.16950e6 | − | 1.57624e6i | 0.163234 | − | 0.118597i | ||||
\(708\) | 1.27539e7 | + | 9.26628e6i | 0.956228 | + | 0.694740i | ||||
\(709\) | −3.06211e6 | − | 9.42420e6i | −0.228773 | − | 0.704091i | −0.997887 | − | 0.0649791i | \(-0.979302\pi\) |
0.769114 | − | 0.639112i | \(-0.220698\pi\) | |||||||
\(710\) | −1.44873e7 | − | 4.45874e7i | −1.07855 | − | 3.31945i | ||||
\(711\) | 3.17112e6 | + | 2.30395e6i | 0.235255 | + | 0.170922i | ||||
\(712\) | 1.13213e7 | − | 8.22541e6i | 0.836944 | − | 0.608075i | ||||
\(713\) | 1.84520e6 | − | 5.67894e6i | 0.135931 | − | 0.418354i | ||||
\(714\) | −4.42225e6 | −0.324637 | ||||||||
\(715\) | 2.35213e7 | − | 1.49794e7i | 1.72067 | − | 1.09579i | ||||
\(716\) | 6.16626e6 | 0.449510 | ||||||||
\(717\) | −186868. | + | 575121.i | −0.0135749 | + | 0.0417793i | ||||
\(718\) | 2.04369e7 | − | 1.48482e7i | 1.47946 | − | 1.07489i | ||||
\(719\) | −618883. | − | 449645.i | −0.0446464 | − | 0.0324375i | 0.565238 | − | 0.824928i | \(-0.308784\pi\) |
−0.609885 | + | 0.792490i | \(0.708784\pi\) | |||||||
\(720\) | 923843. | + | 2.84330e6i | 0.0664151 | + | 0.204405i | ||||
\(721\) | −1.27652e6 | − | 3.92874e6i | −0.0914515 | − | 0.281459i | ||||
\(722\) | −1.60300e7 | − | 1.16465e7i | −1.14443 | − | 0.831479i | ||||
\(723\) | −4.05248e6 | + | 2.94430e6i | −0.288320 | + | 0.209477i | ||||
\(724\) | 2.78681e6 | − | 8.57692e6i | 0.197588 | − | 0.608114i | ||||
\(725\) | 5.57436e6 | 0.393868 | ||||||||
\(726\) | −1.25433e7 | − | 1.54426e6i | −0.883223 | − | 0.108738i | ||||
\(727\) | 3.79466e6 | 0.266279 | 0.133140 | − | 0.991097i | \(-0.457494\pi\) | ||||
0.133140 | + | 0.991097i | \(0.457494\pi\) | |||||||
\(728\) | 1.72843e6 | − | 5.31957e6i | 0.120872 | − | 0.372004i | ||||
\(729\) | −429945. | + | 312373.i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −3.76367e7 | − | 2.73446e7i | −2.61399 | − | 1.89917i | ||||
\(731\) | 4.16231e6 | + | 1.28103e7i | 0.288099 | + | 0.886676i | ||||
\(732\) | 4.95977e6 | + | 1.52646e7i | 0.342125 | + | 1.05295i | ||||
\(733\) | −2.28272e7 | − | 1.65849e7i | −1.56925 | − | 1.14013i | −0.927867 | − | 0.372911i | \(-0.878360\pi\) |
−0.641386 | − | 0.767218i | \(-0.721640\pi\) | |||||||
\(734\) | 2.52622e7 | − | 1.83541e7i | 1.73074 | − | 1.25746i | ||||
\(735\) | 2.80639e6 | − | 8.63717e6i | 0.191615 | − | 0.589730i | ||||
\(736\) | −3.53361e7 | −2.40449 | ||||||||
\(737\) | −1.51898e7 | + | 9.67350e6i | −1.03011 | + | 0.656017i | ||||
\(738\) | 2.13292e6 | 0.144156 | ||||||||
\(739\) | −3.89924e6 | + | 1.20006e7i | −0.262645 | + | 0.808337i | 0.729582 | + | 0.683893i | \(0.239715\pi\) |
−0.992227 | + | 0.124444i | \(0.960285\pi\) | |||||||
\(740\) | −8.51455e6 | + | 6.18618e6i | −0.571587 | + | 0.415282i | ||||
\(741\) | −3.05999e6 | − | 2.22322e6i | −0.204727 | − | 0.148743i | ||||
\(742\) | −1.63146e6 | − | 5.02111e6i | −0.108784 | − | 0.334804i | ||||
\(743\) | 832192. | + | 2.56123e6i | 0.0553034 | + | 0.170206i | 0.974893 | − | 0.222674i | \(-0.0714786\pi\) |
−0.919590 | + | 0.392881i | \(0.871479\pi\) | |||||||
\(744\) | −989035. | − | 718576.i | −0.0655057 | − | 0.0475927i | ||||
\(745\) | 1.09037e7 | − | 7.92201e6i | 0.719754 | − | 0.522932i | ||||
\(746\) | −9.15147e6 | + | 2.81653e7i | −0.602066 | + | 1.85297i | ||||
\(747\) | −6.46159e6 | −0.423680 | ||||||||
\(748\) | −4.34869e6 | − | 1.68264e7i | −0.284187 | − | 1.09961i | ||||
\(749\) | 9.42661e6 | 0.613975 | ||||||||
\(750\) | −1.23709e6 | + | 3.80738e6i | −0.0803063 | + | 0.247157i | ||||
\(751\) | −1.02483e7 | + | 7.44584e6i | −0.663060 | + | 0.481742i | −0.867695 | − | 0.497097i | \(-0.834399\pi\) |
0.204635 | + | 0.978838i | \(0.434399\pi\) | |||||||
\(752\) | 7.24453e6 | + | 5.26346e6i | 0.467160 | + | 0.339412i | ||||
\(753\) | 714845. | + | 2.20007e6i | 0.0459435 | + | 0.141400i | ||||
\(754\) | −5.73023e6 | − | 1.76358e7i | −0.367066 | − | 1.12971i | ||||
\(755\) | 1.03582e7 | + | 7.52569e6i | 0.661329 | + | 0.480484i | ||||
\(756\) | 1.48738e6 | − | 1.08065e6i | 0.0946495 | − | 0.0687669i | ||||
\(757\) | 2.37798e6 | − | 7.31865e6i | 0.150823 | − | 0.464186i | −0.846891 | − | 0.531767i | \(-0.821528\pi\) |
0.997714 | + | 0.0675814i | \(0.0215282\pi\) | |||||||
\(758\) | 3.71613e7 | 2.34919 | ||||||||
\(759\) | −6.10260e6 | + | 1.54850e7i | −0.384512 | + | 0.975676i | ||||
\(760\) | 3.52906e6 | 0.221628 | ||||||||
\(761\) | 2.06659e6 | − | 6.36032e6i | 0.129358 | − | 0.398123i | −0.865312 | − | 0.501234i | \(-0.832880\pi\) |
0.994670 | + | 0.103111i | \(0.0328797\pi\) | |||||||
\(762\) | 2.30026e6 | − | 1.67124e6i | 0.143513 | − | 0.104268i | ||||
\(763\) | 873826. | + | 634872.i | 0.0543392 | + | 0.0394798i | ||||
\(764\) | −796571. | − | 2.45159e6i | −0.0493732 | − | 0.151955i | ||||
\(765\) | 1.83704e6 | + | 5.65381e6i | 0.113492 | + | 0.349291i | ||||
\(766\) | 1.47647e7 | + | 1.07272e7i | 0.909188 | + | 0.660564i | ||||
\(767\) | 2.99812e7 | − | 2.17826e7i | 1.84018 | − | 1.33697i | ||||
\(768\) | −297362. | + | 915185.i | −0.0181921 | + | 0.0559894i | ||||
\(769\) | −1.46860e7 | −0.895543 | −0.447772 | − | 0.894148i | \(-0.647782\pi\) | ||||
−0.447772 | + | 0.894148i | \(0.647782\pi\) | |||||||
\(770\) | −1.49271e7 | − | 915418.i | −0.907297 | − | 0.0556407i | ||||
\(771\) | 8.86193e6 | 0.536899 | ||||||||
\(772\) | −3.67580e6 | + | 1.13130e7i | −0.221977 | + | 0.683176i | ||||
\(773\) | 7.38827e6 | − | 5.36789e6i | 0.444728 | − | 0.323114i | −0.342783 | − | 0.939415i | \(-0.611370\pi\) |
0.787511 | + | 0.616301i | \(0.211370\pi\) | |||||||
\(774\) | −7.82343e6 | − | 5.68405e6i | −0.469402 | − | 0.341040i | ||||
\(775\) | −977489. | − | 3.00840e6i | −0.0584599 | − | 0.179921i | ||||
\(776\) | −713229. | − | 2.19509e6i | −0.0425182 | − | 0.130857i | ||||
\(777\) | −1.33660e6 | − | 971099.i | −0.0794237 | − | 0.0577047i | ||||
\(778\) | −1.50610e7 | + | 1.09425e7i | −0.892084 | + | 0.648137i | ||||
\(779\) | −421108. | + | 1.29604e6i | −0.0248628 | + | 0.0765197i | ||||
\(780\) | −2.75314e7 | −1.62029 | ||||||||
\(781\) | 2.23143e7 | + | 1.84006e7i | 1.30905 | + | 1.07945i | ||||
\(782\) | −3.95256e7 | −2.31133 | ||||||||
\(783\) | 514400. | − | 1.58316e6i | 0.0299845 | − | 0.0922827i | ||||
\(784\) | −5.41317e6 | + | 3.93290e6i | −0.314530 | + | 0.228519i | ||||
\(785\) | 1.92793e7 | + | 1.40072e7i | 1.11665 | + | 0.811293i | ||||
\(786\) | −6.65279e6 | − | 2.04752e7i | −0.384103 | − | 1.18215i | ||||
\(787\) | 4.54589e6 | + | 1.39908e7i | 0.261627 | + | 0.805204i | 0.992451 | + | 0.122639i | \(0.0391357\pi\) |
−0.730825 | + | 0.682565i | \(0.760864\pi\) | |||||||
\(788\) | 2.00193e7 | + | 1.45449e7i | 1.14851 | + | 0.834441i | ||||
\(789\) | −4.50848e6 | + | 3.27560e6i | −0.257832 | + | 0.187326i | ||||
\(790\) | −9.72756e6 | + | 2.99384e7i | −0.554544 | + | 1.70671i | ||||
\(791\) | −1.14021e7 | −0.647952 | ||||||||
\(792\) | 2.62906e6 | + | 2.16795e6i | 0.148932 | + | 0.122811i | ||||
\(793\) | 3.77297e7 | 2.13059 | ||||||||
\(794\) | 8.22905e6 | − | 2.53264e7i | 0.463232 | − | 1.42568i | ||||
\(795\) | −5.74174e6 | + | 4.17161e6i | −0.322200 | + | 0.234092i | ||||
\(796\) | 1.43280e6 | + | 1.04099e6i | 0.0801502 | + | 0.0582325i | ||||
\(797\) | 1.10809e6 | + | 3.41034e6i | 0.0617913 | + | 0.190174i | 0.977187 | − | 0.212382i | \(-0.0681220\pi\) |
−0.915396 | + | 0.402556i | \(0.868122\pi\) | |||||||
\(798\) | 626829. | + | 1.92918e6i | 0.0348451 | + | 0.107242i | ||||
\(799\) | 1.44055e7 | + | 1.04662e7i | 0.798293 | + | 0.579994i | ||||
\(800\) | −1.51441e7 | + | 1.10029e7i | −0.836603 | + | 0.607827i | ||||
\(801\) | 3.34134e6 | − | 1.02836e7i | 0.184009 | − | 0.566321i | ||||
\(802\) | −5.22084e6 | −0.286619 | ||||||||
\(803\) | 2.86463e7 | + | 1.75675e6i | 1.56776 | + | 0.0961440i | ||||
\(804\) | 1.77795e7 | 0.970015 | ||||||||
\(805\) | −6.08633e6 | + | 1.87318e7i | −0.331029 | + | 1.01880i | ||||
\(806\) | −8.51299e6 | + | 6.18505e6i | −0.461577 | + | 0.335356i | ||||
\(807\) | −1.34648e7 | − | 9.78272e6i | −0.727804 | − | 0.528781i | ||||
\(808\) | −1.51640e6 | − | 4.66699e6i | −0.0817117 | − | 0.251483i | ||||
\(809\) | −8.58858e6 | − | 2.64329e7i | −0.461371 | − | 1.41995i | −0.863490 | − | 0.504366i | \(-0.831726\pi\) |
0.402119 | − | 0.915587i | \(-0.368274\pi\) | |||||||
\(810\) | −3.45287e6 | − | 2.50865e6i | −0.184913 | − | 0.134347i | ||||
\(811\) | −5.61959e6 | + | 4.08287e6i | −0.300022 | + | 0.217978i | −0.727603 | − | 0.685998i | \(-0.759366\pi\) |
0.427581 | + | 0.903977i | \(0.359366\pi\) | |||||||
\(812\) | −1.77955e6 | + | 5.47690e6i | −0.0947154 | + | 0.291504i | ||||
\(813\) | 8.73777e6 | 0.463633 | ||||||||
\(814\) | 4.11106e6 | − | 1.04316e7i | 0.217467 | − | 0.551808i | ||||
\(815\) | 4.18178e6 | 0.220530 | ||||||||
\(816\) | 1.35346e6 | − | 4.16553e6i | 0.0711576 | − | 0.219001i | ||||
\(817\) | 4.99843e6 | − | 3.63157e6i | 0.261986 | − | 0.190344i | ||||
\(818\) | −450785. | − | 327514.i | −0.0235552 | − | 0.0171138i | ||||
\(819\) | −1.33552e6 | − | 4.11032e6i | −0.0695732 | − | 0.214124i | ||||
\(820\) | 3.06520e6 | + | 9.43371e6i | 0.159193 | + | 0.489946i | ||||
\(821\) | −1.05337e7 | − | 7.65319e6i | −0.545411 | − | 0.396264i | 0.280680 | − | 0.959801i | \(-0.409440\pi\) |
−0.826091 | + | 0.563537i | \(0.809440\pi\) | |||||||
\(822\) | 5.06399e6 | − | 3.67920e6i | 0.261405 | − | 0.189921i | ||||
\(823\) | −1.32963e6 | + | 4.09219e6i | −0.0684277 | + | 0.210599i | −0.979423 | − | 0.201818i | \(-0.935315\pi\) |
0.910995 | + | 0.412417i | \(0.135315\pi\) | |||||||
\(824\) | −7.55918e6 | −0.387844 | ||||||||
\(825\) | 2.20625e6 | + | 8.53667e6i | 0.112855 | + | 0.436670i | ||||
\(826\) | −1.98744e7 | −1.01355 | ||||||||
\(827\) | 186778. | − | 574843.i | 0.00949645 | − | 0.0292271i | −0.946196 | − | 0.323594i | \(-0.895109\pi\) |
0.955692 | + | 0.294367i | \(0.0951088\pi\) | |||||||
\(828\) | 1.32941e7 | − | 9.65871e6i | 0.673880 | − | 0.489602i | ||||
\(829\) | 9.95463e6 | + | 7.23246e6i | 0.503082 | + | 0.365510i | 0.810193 | − | 0.586163i | \(-0.199362\pi\) |
−0.307111 | + | 0.951674i | \(0.599362\pi\) | |||||||
\(830\) | −1.60357e7 | − | 4.93529e7i | −0.807967 | − | 2.48667i | ||||
\(831\) | 5.19990e6 | + | 1.60036e7i | 0.261211 | + | 0.803926i | ||||
\(832\) | 3.84493e7 | + | 2.79350e7i | 1.92566 | + | 1.39907i | ||||
\(833\) | −1.07639e7 | + | 7.82046e6i | −0.537475 | + | 0.390499i | ||||
\(834\) | −7.09869e6 | + | 2.18475e7i | −0.353397 | + | 1.08765i | ||||
\(835\) | −2.20633e7 | −1.09510 | ||||||||
\(836\) | −6.72403e6 | + | 4.28214e6i | −0.332747 | + | 0.211907i | ||||
\(837\) | −944611. | −0.0466057 | ||||||||
\(838\) | −3.96679e6 | + | 1.22085e7i | −0.195132 | + | 0.600556i | ||||
\(839\) | −1.02648e7 | + | 7.45780e6i | −0.503436 | + | 0.365768i | −0.810328 | − | 0.585977i | \(-0.800711\pi\) |
0.306892 | + | 0.951744i | \(0.400711\pi\) | |||||||
\(840\) | 3.26230e6 | + | 2.37020e6i | 0.159524 | + | 0.115901i | ||||
\(841\) | −4.72704e6 | − | 1.45483e7i | −0.230462 | − | 0.709289i | ||||
\(842\) | 1.25680e7 | + | 3.86804e7i | 0.610923 | + | 1.88023i | ||||
\(843\) | 4.55714e6 | + | 3.31095e6i | 0.220863 | + | 0.160466i | ||||
\(844\) | −2.36730e7 | + | 1.71994e7i | −1.14392 | + | 0.831108i | ||||
\(845\) | −1.14392e7 | + | 3.52063e7i | −0.551130 | + | 1.69620i | ||||
\(846\) | −1.27838e7 | −0.614091 | ||||||||
\(847\) | 8.07084e6 | − | 4.47031e6i | 0.386554 | − | 0.214106i | ||||
\(848\) | 5.22895e6 | 0.249704 | ||||||||
\(849\) | 3.18075e6 | − | 9.78933e6i | 0.151447 | − | 0.466105i | ||||
\(850\) | −1.69397e7 | + | 1.23074e7i | −0.804188 | + | 0.584277i | ||||
\(851\) | −1.19464e7 | − | 8.67959e6i | −0.565476 | − | 0.410842i | ||||
\(852\) | −8.82385e6 | − | 2.71570e7i | −0.416446 | − | 1.28169i | ||||
\(853\) | −1.19950e7 | − | 3.69169e7i | −0.564454 | − | 1.73721i | −0.669570 | − | 0.742749i | \(-0.733521\pi\) |
0.105116 | − | 0.994460i | \(-0.466479\pi\) | |||||||
\(854\) | −1.63699e7 | − | 1.18934e7i | −0.768069 | − | 0.558035i | ||||
\(855\) | 2.20605e6 | − | 1.60279e6i | 0.103205 | − | 0.0749829i | ||||
\(856\) | 5.33048e6 | − | 1.64055e7i | 0.248646 | − | 0.765254i | ||||
\(857\) | −2.27339e7 | −1.05736 | −0.528679 | − | 0.848822i | \(-0.677313\pi\) | ||||
−0.528679 | + | 0.848822i | \(0.677313\pi\) | |||||||
\(858\) | 2.47399e7 | − | 1.57554e7i | 1.14731 | − | 0.730652i | ||||
\(859\) | −711471. | −0.0328984 | −0.0164492 | − | 0.999865i | \(-0.505236\pi\) | ||||
−0.0164492 | + | 0.999865i | \(0.505236\pi\) | |||||||
\(860\) | 1.38971e7 | − | 4.27708e7i | 0.640733 | − | 1.97197i | ||||
\(861\) | −1.25972e6 | + | 915241.i | −0.0579117 | + | 0.0420753i | ||||
\(862\) | 1.97942e7 | + | 1.43813e7i | 0.907340 | + | 0.659221i | ||||
\(863\) | 4.60346e6 | + | 1.41680e7i | 0.210406 | + | 0.647562i | 0.999448 | + | 0.0332229i | \(0.0105771\pi\) |
−0.789042 | + | 0.614339i | \(0.789423\pi\) | |||||||
\(864\) | 1.72740e6 | + | 5.31638e6i | 0.0787241 | + | 0.242288i | ||||
\(865\) | −1.98259e7 | − | 1.44044e7i | −0.900935 | − | 0.654568i | ||||
\(866\) | −3.12241e7 | + | 2.26857e7i | −1.41480 | + | 1.02791i | ||||
\(867\) | −1.25752e6 | + | 3.87024e6i | −0.0568154 | + | 0.174860i | ||||
\(868\) | 3.26786e6 | 0.147219 | ||||||||
\(869\) | −4.85934e6 | − | 1.88023e7i | −0.218287 | − | 0.844620i | ||||
\(870\) | 1.33686e7 | 0.598808 | ||||||||
\(871\) | 1.29153e7 | − | 3.97493e7i | 0.576846 | − | 1.77535i | ||||
\(872\) | 1.59902e6 | − | 1.16175e6i | 0.0712134 | − | 0.0517396i | ||||
\(873\) | −1.44279e6 | − | 1.04825e6i | −0.0640719 | − | 0.0465510i | ||||
\(874\) | 5.60254e6 | + | 1.72428e7i | 0.248088 | + | 0.763537i | ||||
\(875\) | −903120. | − | 2.77952e6i | −0.0398773 | − | 0.122730i | ||||
\(876\) | −2.29235e7 | − | 1.66549e7i | −1.00930 | − | 0.733300i | ||||
\(877\) | −7.65229e6 | + | 5.55971e6i | −0.335964 | + | 0.244092i | −0.742957 | − | 0.669339i | \(-0.766577\pi\) |
0.406993 | + | 0.913431i | \(0.366577\pi\) | |||||||
\(878\) | 1.95096e6 | − | 6.00443e6i | 0.0854106 | − | 0.262867i | ||||
\(879\) | 9.81678e6 | 0.428545 | ||||||||
\(880\) | 5.43084e6 | − | 1.37804e7i | 0.236407 | − | 0.599869i | ||||
\(881\) | −4.25614e7 | −1.84746 | −0.923732 | − | 0.383039i | \(-0.874878\pi\) | ||||
−0.923732 | + | 0.383039i | \(0.874878\pi\) | |||||||
\(882\) | 2.95177e6 | − | 9.08462e6i | 0.127765 | − | 0.393220i | ||||
\(883\) | 1.97959e7 | − | 1.43826e7i | 0.854424 | − | 0.620776i | −0.0719380 | − | 0.997409i | \(-0.522918\pi\) |
0.926362 | + | 0.376633i | \(0.122918\pi\) | |||||||
\(884\) | 3.26313e7 | + | 2.37080e7i | 1.40444 | + | 1.02039i | ||||
\(885\) | 8.25599e6 | + | 2.54093e7i | 0.354333 | + | 1.09052i | ||||
\(886\) | 1.52135e7 | + | 4.68224e7i | 0.651096 | + | 2.00387i | ||||
\(887\) | −1.17938e7 | − | 8.56872e6i | −0.503322 | − | 0.365685i | 0.306962 | − | 0.951722i | \(-0.400687\pi\) |
−0.810284 | + | 0.586037i | \(0.800687\pi\) | |||||||
\(888\) | −2.44585e6 | + | 1.77702e6i | −0.104087 | + | 0.0756239i | ||||
\(889\) | −641424. | + | 1.97410e6i | −0.0272202 | + | 0.0837750i | ||||
\(890\) | 8.68371e7 | 3.67477 | ||||||||
\(891\) | 2.62807e6 | + | 161168.i | 0.110903 | + | 0.00680120i | ||||
\(892\) | −8.47724e6 | −0.356732 | ||||||||
\(893\) | 2.52393e6 | − | 7.76786e6i | 0.105913 | − | 0.325966i | ||||
\(894\) | 1.14686e7 | − | 8.33242e6i | 0.479917 | − | 0.348680i | ||||
\(895\) | 8.45433e6 | + | 6.14243e6i | 0.352795 | + | 0.256320i | ||||
\(896\) | −3.53237e6 | − | 1.08715e7i | −0.146993 | − | 0.452398i | ||||
\(897\) | −1.19368e7 | − | 3.67376e7i | −0.495343 | − | 1.52451i | ||||
\(898\) | −3.70896e7 | − | 2.69472e7i | −1.53483 | − | 1.11512i | ||||
\(899\) | 2.39372e6 | − | 1.73914e6i | 0.0987813 | − | 0.0717688i | ||||
\(900\) | 2.68999e6 | − | 8.27895e6i | 0.110699 | − | 0.340698i | ||||
\(901\) | 1.03976e7 | 0.426699 | ||||||||
\(902\) | −8.15303e6 | − | 6.72306e6i | −0.333659 | − | 0.275138i | ||||
\(903\) | 7.05963e6 | 0.288113 | ||||||||
\(904\) | −6.44755e6 | + | 1.98435e7i | −0.262406 | + | 0.807603i | ||||
\(905\) | 1.23647e7 | − | 8.98345e6i | 0.501835 | − | 0.364604i | ||||
\(906\) | 1.08948e7 | + | 7.91556e6i | 0.440961 | + | 0.320377i | ||||
\(907\) | 5.94108e6 | + | 1.82848e7i | 0.239799 | + | 0.738025i | 0.996448 | + | 0.0842046i | \(0.0268349\pi\) |
−0.756650 | + | 0.653821i | \(0.773165\pi\) | |||||||
\(908\) | 1.89912e6 | + | 5.84490e6i | 0.0764432 | + | 0.235268i | ||||
\(909\) | −3.06752e6 | − | 2.22868e6i | −0.123134 | − | 0.0894620i | ||||
\(910\) | 2.80798e7 | − | 2.04012e7i | 1.12406 | − | 0.816679i | ||||
\(911\) | 9.38445e6 | − | 2.88824e7i | 0.374639 | − | 1.15302i | −0.569083 | − | 0.822280i | \(-0.692702\pi\) |
0.943722 | − | 0.330740i | \(-0.107298\pi\) | |||||||
\(912\) | −2.00904e6 | −0.0799836 | ||||||||
\(913\) | 2.46993e7 | + | 2.03672e7i | 0.980634 | + | 0.808640i | ||||
\(914\) | 2.06282e7 | 0.816761 | ||||||||
\(915\) | −8.40547e6 | + | 2.58694e7i | −0.331901 | + | 1.02149i | ||||
\(916\) | 3.30321e7 | − | 2.39992e7i | 1.30076 | − | 0.945059i | ||||
\(917\) | 1.27152e7 | + | 9.23810e6i | 0.499342 | + | 0.362793i | ||||
\(918\) | 1.93220e6 | + | 5.94671e6i | 0.0756739 | + | 0.232900i | ||||
\(919\) | −8.61631e6 | − | 2.65183e7i | −0.336537 | − | 1.03575i | −0.965960 | − | 0.258691i | \(-0.916709\pi\) |
0.629423 | − | 0.777063i | \(-0.283291\pi\) | |||||||
\(920\) | 2.91581e7 | + | 2.11846e7i | 1.13577 | + | 0.825183i | ||||
\(921\) | 1.32504e7 | − | 9.62699e6i | 0.514731 | − | 0.373974i | ||||
\(922\) | −6.97427e6 | + | 2.14646e7i | −0.270191 | + | 0.831563i | ||||
\(923\) | −6.71243e7 | −2.59344 | ||||||||
\(924\) | −9.09173e6 | − | 557558.i | −0.350321 | − | 0.0214837i | ||||
\(925\) | −7.82256e6 | −0.300604 | ||||||||
\(926\) | 1.27353e7 | − | 3.91952e7i | 0.488069 | − | 1.50212i | ||||
\(927\) | −4.72533e6 | + | 3.43315e6i | −0.180606 | + | 0.131218i | ||||
\(928\) | −1.41655e7 | − | 1.02918e7i | −0.539959 | − | 0.392303i | ||||
\(929\) | 1.42512e7 | + | 4.38607e7i | 0.541766 | + | 1.66739i | 0.728557 | + | 0.684986i | \(0.240191\pi\) |
−0.186790 | + | 0.982400i | \(0.559809\pi\) | |||||||
\(930\) | −2.34424e6 | − | 7.21484e6i | −0.0888782 | − | 0.273539i | ||||
\(931\) | 4.93736e6 | + | 3.58720e6i | 0.186690 | + | 0.135638i | ||||
\(932\) | −3.17428e7 | + | 2.30625e7i | −1.19703 | + | 0.869693i | ||||
\(933\) | 959642. | − | 2.95348e6i | 0.0360915 | − | 0.111078i | ||||
\(934\) | 2.08268e7 | 0.781188 | ||||||||
\(935\) | 1.07991e7 | − | 2.74020e7i | 0.403978 | − | 1.02507i | ||||
\(936\) | −7.90856e6 | −0.295058 | ||||||||
\(937\) | −139449. | + | 429181.i | −0.00518881 | + | 0.0159695i | −0.953617 | − | 0.301021i | \(-0.902672\pi\) |
0.948429 | + | 0.316991i | \(0.102672\pi\) | |||||||
\(938\) | −1.81336e7 | + | 1.31748e7i | −0.672941 | + | 0.488920i | ||||
\(939\) | −108334. | − | 78709.4i | −0.00400960 | − | 0.00291315i | ||||
\(940\) | −1.83714e7 | − | 5.65414e7i | −0.678146 | − | 2.08712i | ||||
\(941\) | 6.10536e6 | + | 1.87904e7i | 0.224769 | + | 0.691769i | 0.998315 | + | 0.0580283i | \(0.0184814\pi\) |
−0.773546 | + | 0.633741i | \(0.781519\pi\) | |||||||
\(942\) | 2.02781e7 | + | 1.47329e7i | 0.744559 | + | 0.540954i | ||||
\(943\) | −1.12593e7 | + | 8.18034e6i | −0.412317 | + | 0.299566i | ||||
\(944\) | 6.08273e6 | − | 1.87207e7i | 0.222161 | − | 0.683742i | ||||
\(945\) | 3.11577e6 | 0.113497 | ||||||||
\(946\) | 1.19884e7 | + | 4.63870e7i | 0.435547 | + | 1.68526i | ||||
\(947\) | −2.26345e7 | −0.820154 | −0.410077 | − | 0.912051i | \(-0.634498\pi\) | ||||
−0.410077 | + | 0.912051i | \(0.634498\pi\) | |||||||
\(948\) | −5.92481e6 | + | 1.82347e7i | −0.214118 | + | 0.658988i | ||||
\(949\) | −5.38872e7 | + | 3.91513e7i | −1.94232 | + | 1.41117i | ||||
\(950\) | 7.77013e6 | + | 5.64533e6i | 0.279331 | + | 0.202946i | ||||
\(951\) | −2.54306e6 | − | 7.82674e6i | −0.0911812 | − | 0.280627i | ||||
\(952\) | −1.82556e6 | − | 5.61850e6i | −0.0652836 | − | 0.200922i | ||||
\(953\) | 313696. | + | 227914.i | 0.0111886 | + | 0.00812902i | 0.593366 | − | 0.804933i | \(-0.297799\pi\) |
−0.582177 | + | 0.813062i | \(0.697799\pi\) | |||||||
\(954\) | −6.03919e6 | + | 4.38773e6i | −0.214836 | + | 0.156088i | ||||
\(955\) | 1.34997e6 | − | 4.15478e6i | 0.0478978 | − | 0.147414i | ||||
\(956\) | −2.95795e6 | −0.104676 | ||||||||
\(957\) | −6.95648e6 | + | 4.43017e6i | −0.245533 | + | 0.156366i | ||||
\(958\) | 2.78443e7 | 0.980219 | ||||||||
\(959\) | −1.41208e6 | + | 4.34594e6i | −0.0495808 | + | 0.152594i | ||||
\(960\) | −2.77194e7 | + | 2.01393e7i | −0.970746 | + | 0.705289i | ||||
\(961\) | 2.18031e7 | + | 1.58409e7i | 0.761571 | + | 0.553314i | ||||
\(962\) | 8.04129e6 | + | 2.47486e7i | 0.280148 | + | 0.862208i | ||||
\(963\) | −4.11875e6 | − | 1.26762e7i | −0.143120 | − | 0.440477i | ||||
\(964\) | −1.98225e7 | − | 1.44019e7i | −0.687013 | − | 0.499144i | ||||
\(965\) | −1.63090e7 | + | 1.18492e7i | −0.563779 | + | 0.409609i | ||||
\(966\) | −6.40164e6 | + | 1.97022e7i | −0.220723 | + | 0.679316i | ||||
\(967\) | 2.05187e7 | 0.705640 | 0.352820 | − | 0.935691i | \(-0.385223\pi\) | ||||
0.352820 | + | 0.935691i | \(0.385223\pi\) | |||||||
\(968\) | −3.21604e6 | − | 1.65738e7i | −0.110315 | − | 0.568506i | ||||
\(969\) | −3.99491e6 | −0.136678 | ||||||||
\(970\) | 4.42583e6 | − | 1.36213e7i | 0.151031 | − | 0.464825i | ||||
\(971\) | −6.46044e6 | + | 4.69379e6i | −0.219894 | + | 0.159763i | −0.692279 | − | 0.721630i | \(-0.743393\pi\) |
0.472385 | + | 0.881392i | \(0.343393\pi\) | |||||||
\(972\) | −2.10305e6 | − | 1.52796e6i | −0.0713977 | − | 0.0518735i | ||||
\(973\) | −5.18228e6 | − | 1.59494e7i | −0.175485 | − | 0.540086i | ||||
\(974\) | −1.25305e7 | − | 3.85650e7i | −0.423225 | − | 1.30255i | ||||
\(975\) | −1.65551e7 | − | 1.20280e7i | −0.557724 | − | 0.405210i | ||||
\(976\) | 1.62131e7 | − | 1.17795e7i | 0.544806 | − | 0.395825i | ||||
\(977\) | 7.99565e6 | − | 2.46081e7i | 0.267989 | − | 0.824786i | −0.723000 | − | 0.690848i | \(-0.757238\pi\) |
0.990990 | − | 0.133938i | \(-0.0427624\pi\) | |||||||
\(978\) | 4.39842e6 | 0.147045 | ||||||||
\(979\) | −4.51865e7 | + | 2.87767e7i | −1.50679 | + | 0.959585i | ||||
\(980\) | 4.44224e7 | 1.47753 | ||||||||
\(981\) | 471929. | − | 1.45245e6i | 0.0156568 | − | 0.0481868i | ||||
\(982\) | −3.64517e7 | + | 2.64837e7i | −1.20625 | + | 0.876394i | ||||
\(983\) | −1.90576e7 | − | 1.38462e7i | −0.629049 | − | 0.457031i | 0.227022 | − | 0.973890i | \(-0.427101\pi\) |
−0.856071 | + | 0.516859i | \(0.827101\pi\) | |||||||
\(984\) | 880496. | + | 2.70989e6i | 0.0289894 | + | 0.0892203i | ||||
\(985\) | 1.29591e7 | + | 3.98840e7i | 0.425583 | + | 1.30981i | ||||
\(986\) | −1.58450e7 | − | 1.15120e7i | −0.519038 | − | 0.377103i | ||||
\(987\) | 7.55021e6 | − | 5.48555e6i | 0.246698 | − | 0.179237i | ||||
\(988\) | 5.71719e6 | − | 1.75957e7i | 0.186333 | − | 0.573475i | ||||
\(989\) | 6.30983e7 | 2.05129 | ||||||||
\(990\) | 5.29109e6 | + | 2.04729e7i | 0.171576 | + | 0.663882i | ||||
\(991\) | −6.11780e7 | −1.97884 | −0.989420 | − | 0.145078i | \(-0.953657\pi\) | ||||
−0.989420 | + | 0.145078i | \(0.953657\pi\) | |||||||
\(992\) | −3.07037e6 | + | 9.44961e6i | −0.0990629 | + | 0.304884i | ||||
\(993\) | 1.06877e7 | − | 7.76510e6i | 0.343964 | − | 0.249905i | ||||
\(994\) | 2.91233e7 | + | 2.11593e7i | 0.934922 | + | 0.679260i | ||||
\(995\) | 927495. | + | 2.85454e6i | 0.0296998 | + | 0.0914067i | ||||
\(996\) | −9.76695e6 | − | 3.00596e7i | −0.311968 | − | 0.960140i | ||||
\(997\) | −4.30055e6 | − | 3.12453e6i | −0.137021 | − | 0.0995513i | 0.517164 | − | 0.855887i | \(-0.326988\pi\) |
−0.654184 | + | 0.756335i | \(0.726988\pi\) | |||||||
\(998\) | −7.50222e7 | + | 5.45068e7i | −2.38431 | + | 1.73231i | ||||
\(999\) | −721863. | + | 2.22166e6i | −0.0228845 | + | 0.0704311i |
(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 | 33.6.e.a.31.1 | yes | 20 | |
3.2 | odd | 2 | 99.6.f.c.64.5 | 20 | |||
11.4 | even | 5 | 363.6.a.u.1.2 | 10 | |||
11.5 | even | 5 | inner | 33.6.e.a.16.1 | ✓ | 20 | |
11.7 | odd | 10 | 363.6.a.q.1.9 | 10 | |||
33.5 | odd | 10 | 99.6.f.c.82.5 | 20 | |||
33.26 | odd | 10 | 1089.6.a.bh.1.9 | 10 | |||
33.29 | even | 10 | 1089.6.a.bl.1.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.e.a.16.1 | ✓ | 20 | 11.5 | even | 5 | inner | |
33.6.e.a.31.1 | yes | 20 | 1.1 | even | 1 | trivial | |
99.6.f.c.64.5 | 20 | 3.2 | odd | 2 | |||
99.6.f.c.82.5 | 20 | 33.5 | odd | 10 | |||
363.6.a.q.1.9 | 10 | 11.7 | odd | 10 | |||
363.6.a.u.1.2 | 10 | 11.4 | even | 5 | |||
1089.6.a.bh.1.9 | 10 | 33.26 | odd | 10 | |||
1089.6.a.bl.1.2 | 10 | 33.29 | even | 10 |