Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,7,Mod(5,33)]
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([5, 4]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.5");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.h (of order \(10\), 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: | \(7.59178475946\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 5.18 | ||
Character | \(\chi\) | \(=\) | 33.5 |
Dual form | 33.7.h.a.20.18 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 10.0445 | − | 3.26364i | 1.25556 | − | 0.407955i | 0.395648 | − | 0.918402i | \(-0.370520\pi\) |
0.859909 | + | 0.510447i | \(0.170520\pi\) | |||||||
\(3\) | −26.0385 | + | 7.14109i | −0.964390 | + | 0.264485i | ||||
\(4\) | 38.4627 | − | 27.9448i | 0.600980 | − | 0.436638i | ||||
\(5\) | −135.541 | − | 44.0400i | −1.08433 | − | 0.352320i | −0.288276 | − | 0.957547i | \(-0.593082\pi\) |
−0.796052 | + | 0.605228i | \(0.793082\pi\) | |||||||
\(6\) | −238.237 | + | 156.709i | −1.10295 | + | 0.725504i | ||||
\(7\) | −206.442 | + | 149.989i | −0.601871 | + | 0.437285i | −0.846542 | − | 0.532321i | \(-0.821320\pi\) |
0.244672 | + | 0.969606i | \(0.421320\pi\) | |||||||
\(8\) | −102.165 | + | 140.618i | −0.199541 | + | 0.274644i | ||||
\(9\) | 627.010 | − | 371.887i | 0.860096 | − | 0.510133i | ||||
\(10\) | −1505.17 | −1.50517 | ||||||||
\(11\) | −1234.47 | + | 497.650i | −0.927472 | + | 0.373892i | ||||
\(12\) | −801.956 | + | 1002.31i | −0.464095 | + | 0.580039i | ||||
\(13\) | −971.087 | − | 2988.70i | −0.442006 | − | 1.36035i | −0.885734 | − | 0.464193i | \(-0.846344\pi\) |
0.443728 | − | 0.896161i | \(-0.353656\pi\) | |||||||
\(14\) | −1584.09 | + | 2180.31i | −0.577291 | + | 0.794573i | ||||
\(15\) | 3843.78 | + | 178.825i | 1.13890 | + | 0.0529851i | ||||
\(16\) | −1507.52 | + | 4639.66i | −0.368046 | + | 1.13273i | ||||
\(17\) | 7847.69 | + | 2549.87i | 1.59733 | + | 0.519005i | 0.966446 | − | 0.256870i | \(-0.0826914\pi\) |
0.630886 | + | 0.775875i | \(0.282691\pi\) | |||||||
\(18\) | 5084.27 | − | 5781.74i | 0.871788 | − | 0.991382i | ||||
\(19\) | −5137.49 | − | 3732.60i | −0.749014 | − | 0.544191i | 0.146507 | − | 0.989210i | \(-0.453197\pi\) |
−0.895521 | + | 0.445019i | \(0.853197\pi\) | |||||||
\(20\) | −6443.97 | + | 2093.77i | −0.805496 | + | 0.261721i | ||||
\(21\) | 4304.36 | − | 5379.70i | 0.464783 | − | 0.580899i | ||||
\(22\) | −10775.4 | + | 9027.48i | −1.01196 | + | 0.847810i | ||||
\(23\) | 3776.99i | 0.310429i | 0.987881 | + | 0.155214i | \(0.0496069\pi\) | ||||
−0.987881 | + | 0.155214i | \(0.950393\pi\) | |||||||
\(24\) | 1656.06 | − | 4391.05i | 0.119796 | − | 0.317640i | ||||
\(25\) | 3790.97 | + | 2754.30i | 0.242622 | + | 0.176275i | ||||
\(26\) | −19508.1 | − | 26850.6i | −1.10993 | − | 1.52768i | ||||
\(27\) | −13670.7 | + | 14160.9i | −0.694545 | + | 0.719449i | ||||
\(28\) | −3748.91 | + | 11537.9i | −0.170777 | + | 0.525599i | ||||
\(29\) | −1436.79 | − | 1977.57i | −0.0589114 | − | 0.0810845i | 0.778545 | − | 0.627589i | \(-0.215958\pi\) |
−0.837456 | + | 0.546504i | \(0.815958\pi\) | |||||||
\(30\) | 39192.3 | − | 10748.5i | 1.45157 | − | 0.398094i | ||||
\(31\) | −5446.57 | − | 16762.8i | −0.182826 | − | 0.562681i | 0.817078 | − | 0.576527i | \(-0.195592\pi\) |
−0.999904 | + | 0.0138464i | \(0.995592\pi\) | |||||||
\(32\) | 40398.8i | 1.23287i | ||||||||
\(33\) | 28589.9 | − | 21773.5i | 0.795556 | − | 0.605880i | ||||
\(34\) | 87147.7 | 2.21727 | ||||||||
\(35\) | 34586.8 | − | 11237.9i | 0.806690 | − | 0.262109i | ||||
\(36\) | 13724.2 | − | 31825.4i | 0.294157 | − | 0.682130i | ||||
\(37\) | 29569.5 | − | 21483.5i | 0.583766 | − | 0.424131i | −0.256314 | − | 0.966594i | \(-0.582508\pi\) |
0.840080 | + | 0.542463i | \(0.182508\pi\) | |||||||
\(38\) | −63785.2 | − | 20725.1i | −1.16244 | − | 0.377698i | ||||
\(39\) | 46628.2 | + | 70886.7i | 0.786059 | + | 1.19501i | ||||
\(40\) | 20040.3 | − | 14560.2i | 0.313130 | − | 0.227503i | ||||
\(41\) | −52836.6 | + | 72723.4i | −0.766626 | + | 1.05517i | 0.230008 | + | 0.973189i | \(0.426125\pi\) |
−0.996634 | + | 0.0819815i | \(0.973875\pi\) | |||||||
\(42\) | 25677.5 | − | 68084.1i | 0.346581 | − | 0.918962i | ||||
\(43\) | −109788. | −1.38086 | −0.690429 | − | 0.723400i | \(-0.742578\pi\) | ||||
−0.690429 | + | 0.723400i | \(0.742578\pi\) | |||||||
\(44\) | −33574.2 | + | 53637.9i | −0.394137 | + | 0.629671i | ||||
\(45\) | −101363. | + | 22792.5i | −1.11236 | + | 0.250123i | ||||
\(46\) | 12326.7 | + | 37937.8i | 0.126641 | + | 0.389761i | ||||
\(47\) | −1653.97 | + | 2276.50i | −0.0159307 | + | 0.0219267i | −0.816908 | − | 0.576768i | \(-0.804314\pi\) |
0.800977 | + | 0.598695i | \(0.204314\pi\) | |||||||
\(48\) | 6121.29 | − | 131575.i | 0.0553502 | − | 1.18974i | ||||
\(49\) | −16234.0 | + | 49963.0i | −0.137986 | + | 0.424679i | ||||
\(50\) | 47067.3 | + | 15293.1i | 0.376538 | + | 0.122345i | ||||
\(51\) | −222551. | − | 10353.8i | −1.67772 | − | 0.0780528i | ||||
\(52\) | −120869. | − | 87816.7i | −0.859619 | − | 0.624549i | ||||
\(53\) | −150754. | + | 48982.8i | −1.01261 | + | 0.329015i | −0.767892 | − | 0.640580i | \(-0.778694\pi\) |
−0.244714 | + | 0.969595i | \(0.578694\pi\) | |||||||
\(54\) | −91098.9 | + | 186855.i | −0.578538 | + | 1.18665i | ||||
\(55\) | 189237. | − | 13086.2i | 1.13741 | − | 0.0786550i | ||||
\(56\) | − | 44353.0i | − | 0.252557i | ||||||
\(57\) | 160428. | + | 60504.2i | 0.866272 | + | 0.326709i | ||||
\(58\) | −20885.9 | − | 15174.5i | −0.107045 | − | 0.0777731i | ||||
\(59\) | 19479.0 | + | 26810.6i | 0.0948443 | + | 0.130542i | 0.853802 | − | 0.520598i | \(-0.174291\pi\) |
−0.758958 | + | 0.651140i | \(0.774291\pi\) | |||||||
\(60\) | 152840. | − | 100536.i | 0.707591 | − | 0.465443i | ||||
\(61\) | 26978.7 | − | 83031.9i | 0.118859 | − | 0.365810i | −0.873873 | − | 0.486153i | \(-0.838400\pi\) |
0.992732 | + | 0.120344i | \(0.0383996\pi\) | |||||||
\(62\) | −109416. | − | 150598.i | −0.459097 | − | 0.631893i | ||||
\(63\) | −73662.1 | + | 170817.i | −0.294593 | + | 0.683141i | ||||
\(64\) | 35366.3 | + | 108846.i | 0.134912 | + | 0.415215i | ||||
\(65\) | 447858.i | 1.63080i | ||||||||
\(66\) | 216109. | − | 312010.i | 0.751694 | − | 1.08527i | ||||
\(67\) | −313862. | −1.04355 | −0.521776 | − | 0.853083i | \(-0.674730\pi\) | ||||
−0.521776 | + | 0.853083i | \(0.674730\pi\) | |||||||
\(68\) | 373099. | − | 121227.i | 1.18658 | − | 0.385544i | ||||
\(69\) | −26971.8 | − | 98347.2i | −0.0821037 | − | 0.299375i | ||||
\(70\) | 310729. | − | 225758.i | 0.905916 | − | 0.658187i | ||||
\(71\) | −47149.1 | − | 15319.7i | −0.131734 | − | 0.0428031i | 0.242408 | − | 0.970174i | \(-0.422063\pi\) |
−0.374142 | + | 0.927371i | \(0.622063\pi\) | |||||||
\(72\) | −11764.4 | + | 126163.i | −0.0315191 | + | 0.338013i | ||||
\(73\) | 170002. | − | 123514.i | 0.437004 | − | 0.317502i | −0.347439 | − | 0.937703i | \(-0.612949\pi\) |
0.784444 | + | 0.620200i | \(0.212949\pi\) | |||||||
\(74\) | 226895. | − | 312294.i | 0.559925 | − | 0.770671i | ||||
\(75\) | −118380. | − | 44646.3i | −0.280604 | − | 0.105828i | ||||
\(76\) | −301909. | −0.687757 | ||||||||
\(77\) | 180203. | − | 287892.i | 0.394721 | − | 0.630604i | ||||
\(78\) | 699704. | + | 559841.i | 1.47445 | + | 1.17972i | ||||
\(79\) | 281643. | + | 866807.i | 0.571238 | + | 1.75809i | 0.648645 | + | 0.761091i | \(0.275336\pi\) |
−0.0774066 | + | 0.997000i | \(0.524664\pi\) | |||||||
\(80\) | 408661. | − | 562474.i | 0.798166 | − | 1.09858i | ||||
\(81\) | 254841. | − | 466353.i | 0.479529 | − | 0.877526i | ||||
\(82\) | −293372. | + | 902907.i | −0.532081 | + | 1.63758i | ||||
\(83\) | −47743.4 | − | 15512.8i | −0.0834986 | − | 0.0271303i | 0.266970 | − | 0.963705i | \(-0.413978\pi\) |
−0.350468 | + | 0.936575i | \(0.613978\pi\) | |||||||
\(84\) | 15222.5 | − | 327202.i | 0.0256831 | − | 0.552050i | ||||
\(85\) | −951388. | − | 691224.i | −1.54918 | − | 1.12554i | ||||
\(86\) | −1.10276e6 | + | 358309.i | −1.73375 | + | 0.563329i | ||||
\(87\) | 51533.9 | + | 41232.8i | 0.0782592 | + | 0.0626160i | ||||
\(88\) | 56140.5 | − | 224430.i | 0.0823813 | − | 0.329332i | ||||
\(89\) | − | 884246.i | − | 1.25431i | −0.778896 | − | 0.627153i | \(-0.784220\pi\) | ||
0.778896 | − | 0.627153i | \(-0.215780\pi\) | |||||||
\(90\) | −943754. | + | 559752.i | −1.29459 | + | 0.767835i | ||||
\(91\) | 648744. | + | 471340.i | 0.860893 | + | 0.625475i | ||||
\(92\) | 105547. | + | 145273.i | 0.135545 | + | 0.186562i | ||||
\(93\) | 261525. | + | 397585.i | 0.325136 | + | 0.494289i | ||||
\(94\) | −9183.58 | + | 28264.2i | −0.0110568 | + | 0.0340293i | ||||
\(95\) | 531957. | + | 732176.i | 0.620448 | + | 0.853974i | ||||
\(96\) | −288492. | − | 1.05193e6i | −0.326077 | − | 1.18897i | ||||
\(97\) | −482465. | − | 1.48487e6i | −0.528629 | − | 1.62695i | −0.757027 | − | 0.653384i | \(-0.773349\pi\) |
0.228398 | − | 0.973568i | \(-0.426651\pi\) | |||||||
\(98\) | 554833.i | 0.589501i | ||||||||
\(99\) | −588952. | + | 771113.i | −0.606980 | + | 0.794717i | ||||
\(100\) | 222779. | 0.222779 | ||||||||
\(101\) | 1.08562e6 | − | 352738.i | 1.05369 | − | 0.342364i | 0.269574 | − | 0.962980i | \(-0.413117\pi\) |
0.784115 | + | 0.620615i | \(0.213117\pi\) | |||||||
\(102\) | −2.26920e6 | + | 622330.i | −2.13832 | + | 0.586435i | ||||
\(103\) | 716424. | − | 520513.i | 0.655630 | − | 0.476343i | −0.209554 | − | 0.977797i | \(-0.567201\pi\) |
0.865184 | + | 0.501454i | \(0.167201\pi\) | |||||||
\(104\) | 519476. | + | 168788.i | 0.461812 | + | 0.150052i | ||||
\(105\) | −820339. | + | 539607.i | −0.708639 | + | 0.466133i | ||||
\(106\) | −1.35438e6 | + | 984012.i | −1.13716 | + | 0.826196i | ||||
\(107\) | 277961. | − | 382580.i | 0.226899 | − | 0.312299i | −0.680355 | − | 0.732882i | \(-0.738175\pi\) |
0.907254 | + | 0.420583i | \(0.138175\pi\) | |||||||
\(108\) | −130089. | + | 926693.i | −0.103269 | + | 0.735639i | ||||
\(109\) | 1.69565e6 | 1.30935 | 0.654676 | − | 0.755910i | \(-0.272805\pi\) | ||||
0.654676 | + | 0.755910i | \(0.272805\pi\) | |||||||
\(110\) | 1.85808e6 | − | 749047.i | 1.39600 | − | 0.562770i | ||||
\(111\) | −616531. | + | 770557.i | −0.450802 | + | 0.563425i | ||||
\(112\) | −384682. | − | 1.18393e6i | −0.273809 | − | 0.842698i | ||||
\(113\) | −1.13894e6 | + | 1.56762e6i | −0.789344 | + | 1.08644i | 0.204846 | + | 0.978794i | \(0.434331\pi\) |
−0.994190 | + | 0.107644i | \(0.965669\pi\) | |||||||
\(114\) | 1.80887e6 | + | 84154.4i | 1.22094 | + | 0.0568018i | ||||
\(115\) | 166338. | − | 511937.i | 0.109370 | − | 0.336607i | ||||
\(116\) | −110526. | − | 35912.0i | −0.0708091 | − | 0.0230073i | ||||
\(117\) | −1.72034e6 | − | 1.51281e6i | −1.07413 | − | 0.944553i | ||||
\(118\) | 283156. | + | 205725.i | 0.172338 | + | 0.125211i | ||||
\(119\) | −2.00254e6 | + | 650666.i | −1.18834 | + | 0.386115i | ||||
\(120\) | −417846. | + | 522235.i | −0.241809 | + | 0.302219i | ||||
\(121\) | 1.27625e6 | − | 1.22866e6i | 0.720410 | − | 0.693549i | ||||
\(122\) | − | 922059.i | − | 0.507784i | ||||||
\(123\) | 856464. | − | 2.27092e6i | 0.460250 | − | 1.22036i | ||||
\(124\) | −677924. | − | 492540.i | −0.355562 | − | 0.258331i | ||||
\(125\) | 916358. | + | 1.26126e6i | 0.469175 | + | 0.645764i | ||||
\(126\) | −182410. | + | 1.95617e6i | −0.0911876 | + | 0.977903i | ||||
\(127\) | −327393. | + | 1.00761e6i | −0.159830 | + | 0.491906i | −0.998618 | − | 0.0525517i | \(-0.983265\pi\) |
0.838788 | + | 0.544458i | \(0.183265\pi\) | |||||||
\(128\) | −809264. | − | 1.11386e6i | −0.385887 | − | 0.531128i | ||||
\(129\) | 2.85872e6 | − | 784005.i | 1.33169 | − | 0.365216i | ||||
\(130\) | 1.46165e6 | + | 4.49849e6i | 0.665293 | + | 2.04756i | ||||
\(131\) | − | 2.58757e6i | − | 1.15101i | −0.817799 | − | 0.575504i | \(-0.804806\pi\) | ||
0.817799 | − | 0.575504i | \(-0.195194\pi\) | |||||||
\(132\) | 491189. | − | 1.63641e6i | 0.213563 | − | 0.711491i | ||||
\(133\) | 1.62044e6 | 0.688776 | ||||||||
\(134\) | −3.15257e6 | + | 1.02433e6i | −1.31024 | + | 0.425722i | ||||
\(135\) | 2.47659e6 | − | 1.31733e6i | 1.00659 | − | 0.535417i | ||||
\(136\) | −1.16032e6 | + | 843019.i | −0.461275 | + | 0.335136i | ||||
\(137\) | −3.75807e6 | − | 1.22107e6i | −1.46151 | − | 0.474874i | −0.532981 | − | 0.846127i | \(-0.678928\pi\) |
−0.928532 | + | 0.371253i | \(0.878928\pi\) | |||||||
\(138\) | −591888. | − | 899819.i | −0.225217 | − | 0.342387i | ||||
\(139\) | −1.19535e6 | + | 868470.i | −0.445092 | + | 0.323378i | −0.787655 | − | 0.616117i | \(-0.788705\pi\) |
0.342563 | + | 0.939495i | \(0.388705\pi\) | |||||||
\(140\) | 1.01626e6 | − | 1.39876e6i | 0.370358 | − | 0.509753i | ||||
\(141\) | 26810.3 | − | 71087.8i | 0.00956411 | − | 0.0253593i | ||||
\(142\) | −523586. | −0.182862 | ||||||||
\(143\) | 2.68610e6 | + | 3.20618e6i | 0.918574 | + | 1.09643i | ||||
\(144\) | 780201. | + | 3.46974e6i | 0.261288 | + | 1.16201i | ||||
\(145\) | 107652. | + | 331318.i | 0.0353116 | + | 0.108678i | ||||
\(146\) | 1.30447e6 | − | 1.79546e6i | 0.419157 | − | 0.576921i | ||||
\(147\) | 65918.2 | − | 1.41689e6i | 0.0207517 | − | 0.446051i | ||||
\(148\) | 536971. | − | 1.65263e6i | 0.165640 | − | 0.509788i | ||||
\(149\) | −1.34940e6 | − | 438447.i | −0.407927 | − | 0.132544i | 0.0978635 | − | 0.995200i | \(-0.468799\pi\) |
−0.505791 | + | 0.862656i | \(0.668799\pi\) | |||||||
\(150\) | −1.33477e6 | − | 62097.8i | −0.395488 | − | 0.0183993i | ||||
\(151\) | −2.67678e6 | − | 1.94479e6i | −0.777467 | − | 0.564863i | 0.126751 | − | 0.991935i | \(-0.459545\pi\) |
−0.904218 | + | 0.427072i | \(0.859545\pi\) | |||||||
\(152\) | 1.04974e6 | − | 341082.i | 0.298918 | − | 0.0971243i | ||||
\(153\) | 5.86884e6 | − | 1.31966e6i | 1.63862 | − | 0.368458i | ||||
\(154\) | 870469. | − | 3.47983e6i | 0.238337 | − | 0.952788i | ||||
\(155\) | 2.51192e6i | 0.674544i | ||||||||
\(156\) | 3.77436e6 | + | 1.42348e6i | 0.994191 | + | 0.374953i | ||||
\(157\) | −1.47658e6 | − | 1.07280e6i | −0.381555 | − | 0.277216i | 0.380431 | − | 0.924809i | \(-0.375776\pi\) |
−0.761986 | + | 0.647593i | \(0.775776\pi\) | |||||||
\(158\) | 5.65790e6 | + | 7.78743e6i | 1.43445 | + | 1.97434i | ||||
\(159\) | 3.57561e6 | − | 2.35199e6i | 0.889527 | − | 0.585118i | ||||
\(160\) | 1.77916e6 | − | 5.47570e6i | 0.434366 | − | 1.33684i | ||||
\(161\) | −566506. | − | 779728.i | −0.135746 | − | 0.186838i | ||||
\(162\) | 1.03773e6 | − | 5.51598e6i | 0.244085 | − | 1.29741i | ||||
\(163\) | 2.49910e6 | + | 7.69143e6i | 0.577059 | + | 1.77601i | 0.629058 | + | 0.777359i | \(0.283441\pi\) |
−0.0519984 | + | 0.998647i | \(0.516559\pi\) | |||||||
\(164\) | 4.27365e6i | 0.968874i | ||||||||
\(165\) | −4.83401e6 | + | 1.69211e6i | −1.07611 | + | 0.376683i | ||||
\(166\) | −530185. | −0.115905 | ||||||||
\(167\) | −3.74558e6 | + | 1.21701e6i | −0.804210 | + | 0.261304i | −0.682144 | − | 0.731218i | \(-0.738952\pi\) |
−0.122066 | + | 0.992522i | \(0.538952\pi\) | |||||||
\(168\) | 316729. | + | 1.15489e6i | 0.0667974 | + | 0.243563i | ||||
\(169\) | −4.08434e6 | + | 2.96745e6i | −0.846178 | + | 0.614784i | ||||
\(170\) | −1.18121e7 | − | 3.83798e6i | −2.40425 | − | 0.781189i | ||||
\(171\) | −4.60936e6 | − | 429814.i | −0.921834 | − | 0.0859592i | ||||
\(172\) | −4.22274e6 | + | 3.06800e6i | −0.829868 | + | 0.602935i | ||||
\(173\) | −2.52783e6 | + | 3.47926e6i | −0.488213 | + | 0.671968i | −0.980057 | − | 0.198715i | \(-0.936323\pi\) |
0.491844 | + | 0.870683i | \(0.336323\pi\) | |||||||
\(174\) | 652199. | + | 245973.i | 0.123803 | + | 0.0466917i | ||||
\(175\) | −1.19573e6 | −0.223110 | ||||||||
\(176\) | −447950. | − | 6.47772e6i | −0.0821660 | − | 1.18819i | ||||
\(177\) | −698662. | − | 559006.i | −0.125993 | − | 0.100808i | ||||
\(178\) | −2.88586e6 | − | 8.88178e6i | −0.511701 | − | 1.57485i | ||||
\(179\) | 2.97558e6 | − | 4.09553e6i | 0.518814 | − | 0.714086i | −0.466560 | − | 0.884489i | \(-0.654507\pi\) |
0.985374 | + | 0.170403i | \(0.0545069\pi\) | |||||||
\(180\) | −3.26178e6 | + | 3.70924e6i | −0.559291 | + | 0.636015i | ||||
\(181\) | −1.94390e6 | + | 5.98272e6i | −0.327823 | + | 1.00893i | 0.642327 | + | 0.766430i | \(0.277969\pi\) |
−0.970150 | + | 0.242505i | \(0.922031\pi\) | |||||||
\(182\) | 8.05457e6 | + | 2.61709e6i | 1.33607 | + | 0.434114i | ||||
\(183\) | −109547. | + | 2.35469e6i | −0.0178751 | + | 0.384220i | ||||
\(184\) | −531113. | − | 385876.i | −0.0852576 | − | 0.0619433i | ||||
\(185\) | −4.95401e6 | + | 1.60966e6i | −0.782424 | + | 0.254225i | ||||
\(186\) | 3.92446e6 | + | 3.14000e6i | 0.609875 | + | 0.487967i | ||||
\(187\) | −1.09567e7 | + | 757680.i | −1.67553 | + | 0.115867i | ||||
\(188\) | 133780.i | 0.0201335i | ||||||||
\(189\) | 698231. | − | 4.97386e6i | 0.103422 | − | 0.736729i | ||||
\(190\) | 7.73278e6 | + | 5.61819e6i | 1.12739 | + | 0.819098i | ||||
\(191\) | 5.31810e6 | + | 7.31974e6i | 0.763232 | + | 1.05050i | 0.996938 | + | 0.0781916i | \(0.0249146\pi\) |
−0.233706 | + | 0.972307i | \(0.575085\pi\) | |||||||
\(192\) | −1.69817e6 | − | 2.58164e6i | −0.239926 | − | 0.364747i | ||||
\(193\) | 980718. | − | 3.01834e6i | 0.136418 | − | 0.419852i | −0.859390 | − | 0.511321i | \(-0.829156\pi\) |
0.995808 | + | 0.0914691i | \(0.0291563\pi\) | |||||||
\(194\) | −9.69220e6 | − | 1.33402e7i | −1.32745 | − | 1.82707i | ||||
\(195\) | −3.19819e6 | − | 1.16616e7i | −0.431321 | − | 1.57273i | ||||
\(196\) | 771804. | + | 2.37537e6i | 0.102504 | + | 0.315473i | ||||
\(197\) | 6.15139e6i | 0.804590i | 0.915510 | + | 0.402295i | \(0.131787\pi\) | ||||
−0.915510 | + | 0.402295i | \(0.868213\pi\) | |||||||
\(198\) | −3.39907e6 | + | 9.66754e6i | −0.437889 | + | 1.24543i | ||||
\(199\) | 4.23624e6 | 0.537553 | 0.268776 | − | 0.963203i | \(-0.413381\pi\) | ||||
0.268776 | + | 0.963203i | \(0.413381\pi\) | |||||||
\(200\) | −774608. | + | 251685.i | −0.0968260 | + | 0.0314607i | ||||
\(201\) | 8.17249e6 | − | 2.24131e6i | 1.00639 | − | 0.276003i | ||||
\(202\) | 9.75322e6 | − | 7.08613e6i | 1.18330 | − | 0.859716i | ||||
\(203\) | 593226. | + | 192751.i | 0.0709141 | + | 0.0230414i | ||||
\(204\) | −8.84926e6 | + | 5.82092e6i | −1.04236 | + | 0.685647i | ||||
\(205\) | 1.03643e7 | − | 7.53008e6i | 1.20303 | − | 0.874054i | ||||
\(206\) | 5.49733e6 | − | 7.56642e6i | 0.628854 | − | 0.865544i | ||||
\(207\) | 1.40461e6 | + | 2.36821e6i | 0.158360 | + | 0.266999i | ||||
\(208\) | 1.53305e7 | 1.70359 | ||||||||
\(209\) | 8.19959e6 | + | 2.05110e6i | 0.898159 | + | 0.224671i | ||||
\(210\) | −6.47877e6 | + | 8.09735e6i | −0.699576 | + | 0.874350i | ||||
\(211\) | 1.22862e6 | + | 3.78130e6i | 0.130789 | + | 0.402526i | 0.994911 | − | 0.100755i | \(-0.0321259\pi\) |
−0.864123 | + | 0.503281i | \(0.832126\pi\) | |||||||
\(212\) | −4.42958e6 | + | 6.09679e6i | −0.464895 | + | 0.639873i | ||||
\(213\) | 1.33709e6 | + | 62205.8i | 0.138364 | + | 0.00643712i | ||||
\(214\) | 1.54336e6 | − | 4.74997e6i | 0.157480 | − | 0.484674i | ||||
\(215\) | 1.48808e7 | + | 4.83506e6i | 1.49730 | + | 0.486504i | ||||
\(216\) | −594610. | − | 3.36910e6i | −0.0590026 | − | 0.334312i | ||||
\(217\) | 3.63863e6 | + | 2.64362e6i | 0.356089 | + | 0.258714i | ||||
\(218\) | 1.70319e7 | − | 5.53399e6i | 1.64397 | − | 0.534157i | ||||
\(219\) | −3.54458e6 | + | 4.43012e6i | −0.337468 | + | 0.421777i | ||||
\(220\) | 6.91289e6 | − | 5.79153e6i | 0.649219 | − | 0.543908i | ||||
\(221\) | − | 2.59305e7i | − | 2.40234i | ||||||
\(222\) | −3.67789e6 | + | 9.75196e6i | −0.336155 | + | 0.891319i | ||||
\(223\) | −4.90865e6 | − | 3.56634e6i | −0.442637 | − | 0.321595i | 0.344045 | − | 0.938953i | \(-0.388203\pi\) |
−0.786682 | + | 0.617359i | \(0.788203\pi\) | |||||||
\(224\) | −6.05937e6 | − | 8.34001e6i | −0.539117 | − | 0.742031i | ||||
\(225\) | 3.40126e6 | + | 317161.i | 0.298602 | + | 0.0278441i | ||||
\(226\) | −6.32390e6 | + | 1.94630e7i | −0.547848 | + | 1.68610i | ||||
\(227\) | 7.00472e6 | + | 9.64117e6i | 0.598843 | + | 0.824237i | 0.995602 | − | 0.0936860i | \(-0.0298650\pi\) |
−0.396759 | + | 0.917923i | \(0.629865\pi\) | |||||||
\(228\) | 7.86126e6 | − | 2.15596e6i | 0.663266 | − | 0.181901i | ||||
\(229\) | −4.11403e6 | − | 1.26617e7i | −0.342579 | − | 1.05435i | −0.962867 | − | 0.269976i | \(-0.912984\pi\) |
0.620288 | − | 0.784374i | \(-0.287016\pi\) | |||||||
\(230\) | − | 5.68500e6i | − | 0.467248i | ||||||
\(231\) | −2.63637e6 | + | 8.78312e6i | −0.213880 | + | 0.712546i | ||||
\(232\) | 424871. | 0.0340246 | ||||||||
\(233\) | −1.50003e7 | + | 4.87389e6i | −1.18586 | + | 0.385308i | −0.834539 | − | 0.550949i | \(-0.814266\pi\) |
−0.351316 | + | 0.936257i | \(0.614266\pi\) | |||||||
\(234\) | −2.22171e7 | − | 9.58077e6i | −1.73397 | − | 0.747744i | ||||
\(235\) | 324438. | − | 235718.i | 0.0249993 | − | 0.0181631i | ||||
\(236\) | 1.49843e6 | + | 486870.i | 0.113999 | + | 0.0370405i | ||||
\(237\) | −1.35235e7 | − | 2.05591e7i | −1.01588 | − | 1.54440i | ||||
\(238\) | −1.79909e7 | + | 1.30712e7i | −1.33451 | + | 0.969580i | ||||
\(239\) | −8.21506e6 | + | 1.13071e7i | −0.601751 | + | 0.828240i | −0.995867 | − | 0.0908211i | \(-0.971051\pi\) |
0.394116 | + | 0.919061i | \(0.371051\pi\) | |||||||
\(240\) | −6.62426e6 | + | 1.75643e7i | −0.479185 | + | 1.27056i | ||||
\(241\) | −1.47461e7 | −1.05348 | −0.526740 | − | 0.850027i | \(-0.676586\pi\) | ||||
−0.526740 | + | 0.850027i | \(0.676586\pi\) | |||||||
\(242\) | 8.80932e6 | − | 1.65065e7i | 0.621579 | − | 1.16469i | ||||
\(243\) | −3.30542e6 | + | 1.39630e7i | −0.230360 | + | 0.973105i | ||||
\(244\) | −1.28264e6 | − | 3.94755e6i | −0.0882945 | − | 0.271743i | ||||
\(245\) | 4.40074e6 | − | 6.05710e6i | 0.299245 | − | 0.411876i | ||||
\(246\) | 1.19124e6 | − | 2.56054e7i | 0.0800193 | − | 1.71999i | ||||
\(247\) | −6.16668e6 | + | 1.89791e7i | −0.409224 | + | 1.25946i | ||||
\(248\) | 2.91360e6 | + | 946687.i | 0.191018 | + | 0.0620656i | ||||
\(249\) | 1.35395e6 | + | 62989.8i | 0.0877007 | + | 0.00408011i | ||||
\(250\) | 1.33206e7 | + | 9.67799e6i | 0.852519 | + | 0.619392i | ||||
\(251\) | −2.07778e7 | + | 6.75111e6i | −1.31395 | + | 0.426927i | −0.880412 | − | 0.474209i | \(-0.842734\pi\) |
−0.433535 | + | 0.901137i | \(0.642734\pi\) | |||||||
\(252\) | 1.94021e6 | + | 8.62857e6i | 0.121240 | + | 0.539184i | ||||
\(253\) | −1.87962e6 | − | 4.66256e6i | −0.116067 | − | 0.287914i | ||||
\(254\) | 1.11894e7i | 0.682820i | ||||||||
\(255\) | 2.97088e7 | + | 1.12045e7i | 1.79170 | + | 0.675729i | ||||
\(256\) | −1.76896e7 | − | 1.28523e7i | −1.05438 | − | 0.766054i | ||||
\(257\) | 2.87805e6 | + | 3.96130e6i | 0.169551 | + | 0.233367i | 0.885334 | − | 0.464956i | \(-0.153930\pi\) |
−0.715783 | + | 0.698323i | \(0.753930\pi\) | |||||||
\(258\) | 2.61555e7 | − | 1.72047e7i | 1.52302 | − | 1.00182i | ||||
\(259\) | −2.88210e6 | + | 8.87018e6i | −0.165886 | + | 0.510544i | ||||
\(260\) | 1.25153e7 | + | 1.72258e7i | 0.712068 | + | 0.980077i | ||||
\(261\) | −1.63631e6 | − | 705633.i | −0.0920333 | − | 0.0396878i | ||||
\(262\) | −8.44491e6 | − | 2.59908e7i | −0.469560 | − | 1.44516i | ||||
\(263\) | − | 2.07218e7i | − | 1.13910i | −0.821958 | − | 0.569549i | \(-0.807118\pi\) | ||
0.821958 | − | 0.569549i | \(-0.192882\pi\) | |||||||
\(264\) | 140861. | + | 6.24474e6i | 0.00765561 | + | 0.339393i | ||||
\(265\) | 2.25905e7 | 1.21392 | ||||||||
\(266\) | 1.62764e7 | − | 5.28854e6i | 0.864798 | − | 0.280990i | ||||
\(267\) | 6.31448e6 | + | 2.30245e7i | 0.331745 | + | 1.20964i | ||||
\(268\) | −1.20720e7 | + | 8.77080e6i | −0.627153 | + | 0.455654i | ||||
\(269\) | 8.80161e6 | + | 2.85982e6i | 0.452174 | + | 0.146920i | 0.526245 | − | 0.850333i | \(-0.323599\pi\) |
−0.0740717 | + | 0.997253i | \(0.523599\pi\) | |||||||
\(270\) | 2.05767e7 | − | 2.13146e7i | 1.04541 | − | 1.08289i | ||||
\(271\) | 4.17936e6 | − | 3.03648e6i | 0.209992 | − | 0.152568i | −0.477818 | − | 0.878459i | \(-0.658572\pi\) |
0.687810 | + | 0.725891i | \(0.258572\pi\) | |||||||
\(272\) | −2.36611e7 | + | 3.25667e7i | −1.17578 | + | 1.61833i | ||||
\(273\) | −2.02582e7 | − | 7.64026e6i | −0.995665 | − | 0.375509i | ||||
\(274\) | −4.17329e7 | −2.02874 | ||||||||
\(275\) | −6.05050e6 | − | 1.51351e6i | −0.290933 | − | 0.0727759i | ||||
\(276\) | −3.78570e6 | − | 3.02898e6i | −0.180061 | − | 0.144069i | ||||
\(277\) | −8.43003e6 | − | 2.59450e7i | −0.396634 | − | 1.22071i | −0.927682 | − | 0.373372i | \(-0.878202\pi\) |
0.531048 | − | 0.847342i | \(-0.321798\pi\) | |||||||
\(278\) | −9.17224e6 | + | 1.26245e7i | −0.426914 | + | 0.587597i | ||||
\(279\) | −9.64892e6 | − | 8.48494e6i | −0.444290 | − | 0.390694i | ||||
\(280\) | −1.95330e6 | + | 6.01165e6i | −0.0889807 | + | 0.273854i | ||||
\(281\) | 1.90708e6 | + | 619649.i | 0.0859509 | + | 0.0279271i | 0.351677 | − | 0.936121i | \(-0.385612\pi\) |
−0.265726 | + | 0.964049i | \(0.585612\pi\) | |||||||
\(282\) | 37290.0 | − | 801538.i | 0.00166282 | − | 0.0357418i | ||||
\(283\) | −1.39701e7 | − | 1.01499e7i | −0.616369 | − | 0.447818i | 0.235282 | − | 0.971927i | \(-0.424399\pi\) |
−0.851651 | + | 0.524109i | \(0.824399\pi\) | |||||||
\(284\) | −2.24159e6 | + | 728337.i | −0.0978591 | + | 0.0317963i | ||||
\(285\) | −1.90799e7 | − | 1.52660e7i | −0.824217 | − | 0.659465i | ||||
\(286\) | 3.74443e7 | + | 2.34379e7i | 1.60062 | + | 1.00189i | ||||
\(287\) | − | 2.29380e7i | − | 0.970310i | ||||||
\(288\) | 1.50238e7 | + | 2.53305e7i | 0.628930 | + | 1.06039i | ||||
\(289\) | 3.55568e7 | + | 2.58335e7i | 1.47309 | + | 1.07026i | ||||
\(290\) | 2.16261e6 | + | 2.97658e6i | 0.0886715 | + | 0.122046i | ||||
\(291\) | 2.31663e7 | + | 3.52186e7i | 0.940108 | + | 1.42920i | ||||
\(292\) | 3.08718e6 | − | 9.50135e6i | 0.123997 | − | 0.381625i | ||||
\(293\) | −6.06794e6 | − | 8.35180e6i | −0.241234 | − | 0.332030i | 0.671183 | − | 0.741292i | \(-0.265786\pi\) |
−0.912417 | + | 0.409261i | \(0.865786\pi\) | |||||||
\(294\) | −3.96211e6 | − | 1.44470e7i | −0.155914 | − | 0.568509i | ||||
\(295\) | −1.45947e6 | − | 4.49179e6i | −0.0568498 | − | 0.174966i | ||||
\(296\) | 6.35286e6i | 0.244959i | ||||||||
\(297\) | 9.82886e6 | − | 2.42844e7i | 0.375175 | − | 0.926954i | ||||
\(298\) | −1.49849e7 | −0.566248 | ||||||||
\(299\) | 1.12883e7 | − | 3.66779e6i | 0.422293 | − | 0.137211i | ||||
\(300\) | −5.80085e6 | + | 1.59089e6i | −0.214846 | + | 0.0589217i | ||||
\(301\) | 2.26648e7 | − | 1.64669e7i | 0.831099 | − | 0.603828i | ||||
\(302\) | −3.32339e7 | − | 1.07984e7i | −1.20659 | − | 0.392046i | ||||
\(303\) | −2.57489e7 | + | 1.69373e7i | −0.925617 | + | 0.608858i | ||||
\(304\) | 2.50629e7 | − | 1.82092e7i | 0.892093 | − | 0.648144i | ||||
\(305\) | −7.31344e6 | + | 1.00661e7i | −0.257764 | + | 0.354782i | ||||
\(306\) | 5.46425e7 | − | 3.24091e7i | 1.90707 | − | 1.13110i | ||||
\(307\) | 5.01564e6 | 0.173345 | 0.0866725 | − | 0.996237i | \(-0.472377\pi\) | ||||
0.0866725 | + | 0.996237i | \(0.472377\pi\) | |||||||
\(308\) | −1.11397e6 | − | 1.61088e7i | −0.0381259 | − | 0.551331i | ||||
\(309\) | −1.49376e7 | + | 1.86694e7i | −0.506297 | + | 0.632784i | ||||
\(310\) | 8.19800e6 | + | 2.52308e7i | 0.275184 | + | 0.846928i | ||||
\(311\) | −3.71519e6 | + | 5.11352e6i | −0.123509 | + | 0.169996i | −0.866294 | − | 0.499534i | \(-0.833505\pi\) |
0.742785 | + | 0.669530i | \(0.233505\pi\) | |||||||
\(312\) | −1.47317e7 | − | 685365.i | −0.485053 | − | 0.0225662i | ||||
\(313\) | −6.21419e6 | + | 1.91253e7i | −0.202652 | + | 0.623699i | 0.797149 | + | 0.603782i | \(0.206340\pi\) |
−0.999802 | + | 0.0199173i | \(0.993660\pi\) | |||||||
\(314\) | −1.83326e7 | − | 5.95664e6i | −0.592156 | − | 0.192403i | ||||
\(315\) | 1.75070e7 | − | 1.99087e7i | 0.560120 | − | 0.636958i | ||||
\(316\) | 3.50555e7 | + | 2.54693e7i | 1.11095 | + | 0.807153i | ||||
\(317\) | −3.00316e6 | + | 975787.i | −0.0942760 | + | 0.0306321i | −0.355775 | − | 0.934572i | \(-0.615783\pi\) |
0.261499 | + | 0.965204i | \(0.415783\pi\) | |||||||
\(318\) | 2.82391e7 | − | 3.52940e7i | 0.878150 | − | 1.09754i | ||||
\(319\) | 2.75781e6 | + | 1.72622e6i | 0.0849555 | + | 0.0531772i | ||||
\(320\) | − | 1.63107e7i | − | 0.497762i | ||||||
\(321\) | −4.50565e6 | + | 1.19468e7i | −0.136220 | + | 0.361189i | ||||
\(322\) | −8.23500e6 | − | 5.98308e6i | −0.246658 | − | 0.179208i | ||||
\(323\) | −3.07998e7 | − | 4.23923e7i | −0.913987 | − | 1.25800i | ||||
\(324\) | −3.23026e6 | − | 2.50587e7i | −0.0949736 | − | 0.736756i | ||||
\(325\) | 4.55041e6 | − | 1.40047e7i | 0.132556 | − | 0.407967i | ||||
\(326\) | 5.02042e7 | + | 6.91001e7i | 1.44906 | + | 1.99446i | ||||
\(327\) | −4.41522e7 | + | 1.21088e7i | −1.26273 | + | 0.346304i | ||||
\(328\) | −4.82816e6 | − | 1.48596e7i | −0.136823 | − | 0.421099i | ||||
\(329\) | − | 718041.i | − | 0.0201633i | ||||||
\(330\) | −4.30326e7 | + | 3.27728e7i | −1.19745 | + | 0.911951i | ||||
\(331\) | 3.60128e7 | 0.993055 | 0.496527 | − | 0.868021i | \(-0.334608\pi\) | ||||
0.496527 | + | 0.868021i | \(0.334608\pi\) | |||||||
\(332\) | −2.26984e6 | + | 737516.i | −0.0620271 | + | 0.0201538i | ||||
\(333\) | 1.05509e7 | − | 2.44669e7i | 0.285731 | − | 0.662591i | ||||
\(334\) | −3.36504e7 | + | 2.44485e7i | −0.903132 | + | 0.656163i | ||||
\(335\) | 4.25411e7 | + | 1.38224e7i | 1.13155 | + | 0.367664i | ||||
\(336\) | 1.84711e7 | + | 2.80807e7i | 0.486940 | + | 0.740271i | ||||
\(337\) | 3.29503e7 | − | 2.39398e7i | 0.860935 | − | 0.625506i | −0.0672043 | − | 0.997739i | \(-0.521408\pi\) |
0.928139 | + | 0.372233i | \(0.121408\pi\) | |||||||
\(338\) | −3.13403e7 | + | 4.31362e7i | −0.811621 | + | 1.11710i | ||||
\(339\) | 1.84619e7 | − | 4.89518e7i | 0.473889 | − | 1.25652i | ||||
\(340\) | −5.59091e7 | −1.42248 | ||||||||
\(341\) | 1.50656e7 | + | 1.79826e7i | 0.379948 | + | 0.453513i | ||||
\(342\) | −4.77013e7 | + | 1.07261e7i | −1.19248 | + | 0.268140i | ||||
\(343\) | −1.34196e7 | − | 4.13012e7i | −0.332550 | − | 1.02348i | ||||
\(344\) | 1.12165e7 | − | 1.54382e7i | 0.275538 | − | 0.379245i | ||||
\(345\) | −675419. | + | 1.45179e7i | −0.0164481 | + | 0.353547i | ||||
\(346\) | −1.40356e7 | + | 4.31972e7i | −0.338847 | + | 1.04286i | ||||
\(347\) | 5.98365e6 | + | 1.94420e6i | 0.143211 | + | 0.0465322i | 0.379746 | − | 0.925091i | \(-0.376012\pi\) |
−0.236534 | + | 0.971623i | \(0.576012\pi\) | |||||||
\(348\) | 3.13438e6 | + | 145821.i | 0.0743727 | + | 0.00346005i | ||||
\(349\) | 2.45319e7 | + | 1.78234e7i | 0.577104 | + | 0.419291i | 0.837679 | − | 0.546163i | \(-0.183912\pi\) |
−0.260575 | + | 0.965454i | \(0.583912\pi\) | |||||||
\(350\) | −1.20104e7 | + | 3.90243e6i | −0.280127 | + | 0.0910187i | ||||
\(351\) | 5.55982e7 | + | 2.71062e7i | 1.28570 | + | 0.626827i | ||||
\(352\) | −2.01045e7 | − | 4.98710e7i | −0.460962 | − | 1.14346i | ||||
\(353\) | − | 1.20349e7i | − | 0.273601i | −0.990599 | − | 0.136800i | \(-0.956318\pi\) | ||
0.990599 | − | 0.136800i | \(-0.0436819\pi\) | |||||||
\(354\) | −8.84208e6 | − | 3.33473e6i | −0.199317 | − | 0.0751712i | ||||
\(355\) | 5.71597e6 | + | 4.15289e6i | 0.127763 | + | 0.0928251i | ||||
\(356\) | −2.47101e7 | − | 3.40105e7i | −0.547677 | − | 0.753813i | ||||
\(357\) | 4.74968e7 | − | 3.12427e7i | 1.04390 | − | 0.686664i | ||||
\(358\) | 1.65217e7 | − | 5.08486e7i | 0.360086 | − | 1.10823i | ||||
\(359\) | −8.77100e6 | − | 1.20722e7i | −0.189568 | − | 0.260918i | 0.703645 | − | 0.710552i | \(-0.251555\pi\) |
−0.893213 | + | 0.449634i | \(0.851555\pi\) | |||||||
\(360\) | 7.15076e6 | − | 1.65821e7i | 0.153266 | − | 0.355412i | ||||
\(361\) | −2.07652e6 | − | 6.39086e6i | −0.0441381 | − | 0.135843i | ||||
\(362\) | 6.64374e7i | 1.40051i | ||||||||
\(363\) | −2.44577e7 | + | 4.11064e7i | −0.511323 | + | 0.859389i | ||||
\(364\) | 3.81240e7 | 0.790485 | ||||||||
\(365\) | −2.84818e7 | + | 9.25430e6i | −0.585719 | + | 0.190311i | ||||
\(366\) | 6.58451e6 | + | 2.40091e7i | 0.134301 | + | 0.489702i | ||||
\(367\) | −4.45588e7 | + | 3.23738e7i | −0.901436 | + | 0.654932i | −0.938834 | − | 0.344369i | \(-0.888093\pi\) |
0.0373983 | + | 0.999300i | \(0.488093\pi\) | |||||||
\(368\) | −1.75240e7 | − | 5.69388e6i | −0.351632 | − | 0.114252i | ||||
\(369\) | −6.08421e6 | + | 6.52475e7i | −0.121095 | + | 1.29863i | ||||
\(370\) | −4.45070e7 | + | 3.23363e7i | −0.878665 | + | 0.638388i | ||||
\(371\) | 2.37750e7 | − | 3.27234e7i | 0.465584 | − | 0.640822i | ||||
\(372\) | 2.11694e7 | + | 7.98391e6i | 0.411225 | + | 0.155091i | ||||
\(373\) | −6.02904e7 | −1.16177 | −0.580887 | − | 0.813984i | \(-0.697294\pi\) | ||||
−0.580887 | + | 0.813984i | \(0.697294\pi\) | |||||||
\(374\) | −1.07581e8 | + | 4.33691e7i | −2.05646 | + | 0.829021i | ||||
\(375\) | −3.28674e7 | − | 2.62975e7i | −0.623263 | − | 0.498679i | ||||
\(376\) | −151138. | − | 465156.i | −0.00284323 | − | 0.00875055i | ||||
\(377\) | −4.51512e6 | + | 6.21452e6i | −0.0842645 | + | 0.115980i | ||||
\(378\) | −9.21954e6 | − | 5.22385e7i | −0.170700 | − | 0.967198i | ||||
\(379\) | 2.86676e7 | − | 8.82299e7i | 0.526592 | − | 1.62068i | −0.234554 | − | 0.972103i | \(-0.575363\pi\) |
0.761146 | − | 0.648580i | \(-0.224637\pi\) | |||||||
\(380\) | 4.09210e7 | + | 1.32960e7i | 0.745754 | + | 0.242310i | ||||
\(381\) | 1.32938e6 | − | 2.85747e7i | 0.0240367 | − | 0.516662i | ||||
\(382\) | 7.73065e7 | + | 5.61665e7i | 1.38684 | + | 1.00760i | ||||
\(383\) | 6.49406e7 | − | 2.11005e7i | 1.15590 | − | 0.375575i | 0.332537 | − | 0.943090i | \(-0.392095\pi\) |
0.823363 | + | 0.567516i | \(0.192095\pi\) | |||||||
\(384\) | 2.90262e7 | + | 2.32241e7i | 0.512621 | + | 0.410153i | ||||
\(385\) | −3.71037e7 | + | 3.10850e7i | −0.650182 | + | 0.544714i | ||||
\(386\) | − | 3.35183e7i | − | 0.582801i | ||||||
\(387\) | −6.88381e7 | + | 4.08287e7i | −1.18767 | + | 0.704421i | ||||
\(388\) | −6.00514e7 | − | 4.36299e7i | −1.02808 | − | 0.746946i | ||||
\(389\) | 3.86085e7 | + | 5.31401e7i | 0.655895 | + | 0.902763i | 0.999337 | − | 0.0364114i | \(-0.0115927\pi\) |
−0.343441 | + | 0.939174i | \(0.611593\pi\) | |||||||
\(390\) | −7.01833e7 | − | 1.06696e8i | −1.18315 | − | 1.79869i | ||||
\(391\) | −9.63083e6 | + | 2.96407e7i | −0.161114 | + | 0.495858i | ||||
\(392\) | −5.36715e6 | − | 7.38725e6i | −0.0891017 | − | 0.122638i | ||||
\(393\) | 1.84781e7 | + | 6.73765e7i | 0.304424 | + | 1.11002i | ||||
\(394\) | 2.00759e7 | + | 6.17874e7i | 0.328237 | + | 1.01021i | ||||
\(395\) | − | 1.29892e8i | − | 2.10761i | ||||||
\(396\) | −1.10410e6 | + | 4.61173e7i | −0.0177797 | + | 0.742639i | ||||
\(397\) | −9.96613e7 | −1.59278 | −0.796389 | − | 0.604785i | \(-0.793259\pi\) | ||||
−0.796389 | + | 0.604785i | \(0.793259\pi\) | |||||||
\(398\) | 4.25507e7 | − | 1.38256e7i | 0.674928 | − | 0.219298i | ||||
\(399\) | −4.21939e7 | + | 1.15717e7i | −0.664249 | + | 0.182171i | ||||
\(400\) | −1.84940e7 | + | 1.34367e7i | −0.288968 | + | 0.209948i | ||||
\(401\) | −4.05665e6 | − | 1.31808e6i | −0.0629121 | − | 0.0204414i | 0.277392 | − | 0.960757i | \(-0.410530\pi\) |
−0.340304 | + | 0.940315i | \(0.610530\pi\) | |||||||
\(402\) | 7.47734e7 | − | 4.91849e7i | 1.15098 | − | 0.757100i | ||||
\(403\) | −4.48099e7 | + | 3.25563e7i | −0.684635 | + | 0.497416i | ||||
\(404\) | 3.18986e7 | − | 4.39046e7i | 0.483757 | − | 0.665834i | ||||
\(405\) | −5.50796e7 | + | 5.19868e7i | −0.829136 | + | 0.782579i | ||||
\(406\) | 6.58771e6 | 0.0984365 | ||||||||
\(407\) | −2.58113e7 | + | 4.12359e7i | −0.382848 | + | 0.611635i | ||||
\(408\) | 2.41929e7 | − | 3.02369e7i | 0.356210 | − | 0.445202i | ||||
\(409\) | −3.69746e6 | − | 1.13796e7i | −0.0540423 | − | 0.166325i | 0.920392 | − | 0.390996i | \(-0.127869\pi\) |
−0.974435 | + | 0.224671i | \(0.927869\pi\) | |||||||
\(410\) | 7.95280e7 | − | 1.09461e8i | 1.15390 | − | 1.58821i | ||||
\(411\) | 1.06574e8 | + | 4.95817e6i | 1.53507 | + | 0.0714160i | ||||
\(412\) | 1.30100e7 | − | 4.00407e7i | 0.186031 | − | 0.572545i | ||||
\(413\) | −8.04256e6 | − | 2.61319e6i | −0.114168 | − | 0.0370954i | ||||
\(414\) | 2.18376e7 | + | 1.92032e7i | 0.307754 | + | 0.270628i | ||||
\(415\) | 5.78801e6 | + | 4.20523e6i | 0.0809813 | + | 0.0588364i | ||||
\(416\) | 1.20740e8 | − | 3.92308e7i | 1.67715 | − | 0.544938i | ||||
\(417\) | 2.49232e7 | − | 3.11498e7i | 0.343713 | − | 0.429583i | ||||
\(418\) | 8.90545e7 | − | 6.15834e6i | 1.21935 | − | 0.0843208i | ||||
\(419\) | 3.74494e7i | 0.509099i | 0.967060 | + | 0.254550i | \(0.0819272\pi\) | ||||
−0.967060 | + | 0.254550i | \(0.918073\pi\) | |||||||
\(420\) | −1.64732e7 | + | 4.36790e7i | −0.222347 | + | 0.589555i | ||||
\(421\) | 9.95942e7 | + | 7.23594e7i | 1.33471 | + | 0.969726i | 0.999621 | + | 0.0275404i | \(0.00876748\pi\) |
0.335092 | + | 0.942185i | \(0.391233\pi\) | |||||||
\(422\) | 2.46816e7 | + | 3.39714e7i | 0.328425 | + | 0.452039i | ||||
\(423\) | −190457. | + | 2.04248e6i | −0.00251638 | + | 0.0269858i | ||||
\(424\) | 8.51387e6 | − | 2.62030e7i | 0.111694 | − | 0.343758i | ||||
\(425\) | 2.27273e7 | + | 3.12814e7i | 0.296060 | + | 0.407492i | ||||
\(426\) | 1.36334e7 | − | 3.73897e6i | 0.176350 | − | 0.0483641i | ||||
\(427\) | 6.88432e6 | + | 2.11877e7i | 0.0884254 | + | 0.272145i | ||||
\(428\) | − | 2.24826e7i | − | 0.286758i | ||||||
\(429\) | −9.28377e7 | − | 6.43026e7i | −1.17585 | − | 0.814436i | ||||
\(430\) | 1.65249e8 | 2.07842 | ||||||||
\(431\) | −5.28232e7 | + | 1.71633e7i | −0.659770 | + | 0.214372i | −0.619717 | − | 0.784825i | \(-0.712753\pi\) |
−0.0400531 | + | 0.999198i | \(0.512753\pi\) | |||||||
\(432\) | −4.50930e7 | − | 8.47754e7i | −0.559317 | − | 1.05152i | ||||
\(433\) | −9.86475e7 | + | 7.16716e7i | −1.21513 | + | 0.882843i | −0.995686 | − | 0.0927821i | \(-0.970424\pi\) |
−0.219443 | + | 0.975625i | \(0.570424\pi\) | |||||||
\(434\) | 4.51759e7 | + | 1.46785e7i | 0.552634 | + | 0.179562i | ||||
\(435\) | −5.16907e6 | − | 7.85829e6i | −0.0627978 | − | 0.0954685i | ||||
\(436\) | 6.52193e7 | − | 4.73846e7i | 0.786894 | − | 0.571712i | ||||
\(437\) | 1.40980e7 | − | 1.94042e7i | 0.168933 | − | 0.232516i | ||||
\(438\) | −2.11451e7 | + | 5.60664e7i | −0.251644 | + | 0.667237i | ||||
\(439\) | 8.29399e7 | 0.980324 | 0.490162 | − | 0.871631i | \(-0.336938\pi\) | ||||
0.490162 | + | 0.871631i | \(0.336938\pi\) | |||||||
\(440\) | −1.74933e7 | + | 2.79471e7i | −0.205358 | + | 0.328079i | ||||
\(441\) | 8.40173e6 | + | 3.73645e7i | 0.0979610 | + | 0.435656i | ||||
\(442\) | −8.46280e7 | − | 2.60458e8i | −0.980048 | − | 3.01628i | ||||
\(443\) | −5.35037e7 | + | 7.36415e7i | −0.615421 | + | 0.847054i | −0.997010 | − | 0.0772778i | \(-0.975377\pi\) |
0.381588 | + | 0.924332i | \(0.375377\pi\) | |||||||
\(444\) | −2.18038e6 | + | 4.68665e7i | −0.0249105 | + | 0.535444i | ||||
\(445\) | −3.89422e7 | + | 1.19852e8i | −0.441916 | + | 1.36008i | ||||
\(446\) | −6.09440e7 | − | 1.98019e7i | −0.686952 | − | 0.223204i | ||||
\(447\) | 3.82674e7 | + | 1.78032e6i | 0.428456 | + | 0.0199331i | ||||
\(448\) | −2.36268e7 | − | 1.71659e7i | −0.262767 | − | 0.190911i | ||||
\(449\) | 5.95904e7 | − | 1.93621e7i | 0.658320 | − | 0.213901i | 0.0392409 | − | 0.999230i | \(-0.487506\pi\) |
0.619079 | + | 0.785329i | \(0.287506\pi\) | |||||||
\(450\) | 3.51989e7 | − | 7.91479e6i | 0.386271 | − | 0.0868564i | ||||
\(451\) | 2.90342e7 | − | 1.16069e8i | 0.316505 | − | 1.26528i | ||||
\(452\) | 9.21224e7i | 0.997585i | ||||||||
\(453\) | 8.35874e7 | + | 3.15245e7i | 0.899179 | + | 0.339120i | ||||
\(454\) | 1.01824e8 | + | 7.39794e7i | 1.08813 | + | 0.790576i | ||||
\(455\) | −6.71736e7 | − | 9.24566e7i | −0.713123 | − | 0.981530i | ||||
\(456\) | −2.48980e7 | + | 1.63776e7i | −0.262586 | + | 0.172725i | ||||
\(457\) | −8.47932e6 | + | 2.60967e7i | −0.0888408 | + | 0.273424i | −0.985600 | − | 0.169096i | \(-0.945915\pi\) |
0.896759 | + | 0.442520i | \(0.145915\pi\) | |||||||
\(458\) | −8.26464e7 | − | 1.13753e8i | −0.860255 | − | 1.18404i | ||||
\(459\) | −1.43392e8 | + | 7.62720e7i | −1.48282 | + | 0.788727i | ||||
\(460\) | −7.90815e6 | − | 2.43388e7i | −0.0812459 | − | 0.250049i | ||||
\(461\) | − | 4.89091e7i | − | 0.499214i | −0.968347 | − | 0.249607i | \(-0.919699\pi\) | ||
0.968347 | − | 0.249607i | \(-0.0803015\pi\) | |||||||
\(462\) | 2.18408e6 | + | 9.68259e7i | 0.0221484 | + | 0.981896i | ||||
\(463\) | −5.57209e7 | −0.561404 | −0.280702 | − | 0.959795i | \(-0.590567\pi\) | ||||
−0.280702 | + | 0.959795i | \(0.590567\pi\) | |||||||
\(464\) | 1.13412e7 | − | 3.68499e6i | 0.113529 | − | 0.0368878i | ||||
\(465\) | −1.79378e7 | − | 6.54066e7i | −0.178407 | − | 0.650523i | ||||
\(466\) | −1.34763e8 | + | 9.79111e7i | −1.33172 | + | 0.967552i | ||||
\(467\) | −1.01374e7 | − | 3.29385e6i | −0.0995353 | − | 0.0323410i | 0.258826 | − | 0.965924i | \(-0.416664\pi\) |
−0.358361 | + | 0.933583i | \(0.616664\pi\) | |||||||
\(468\) | −1.08444e8 | − | 1.01122e7i | −1.05796 | − | 0.0986525i | ||||
\(469\) | 6.47941e7 | − | 4.70757e7i | 0.628083 | − | 0.456329i | ||||
\(470\) | 2.48950e6 | − | 3.42651e6i | 0.0239784 | − | 0.0330034i | ||||
\(471\) | 4.61088e7 | + | 1.73897e7i | 0.441287 | + | 0.166429i | ||||
\(472\) | −5.76012e6 | −0.0547779 | ||||||||
\(473\) | 1.35529e8 | − | 5.46360e7i | 1.28071 | − | 0.516292i | ||||
\(474\) | −2.02934e8 | − | 1.62370e8i | −1.90555 | − | 1.52465i | ||||
\(475\) | −9.19535e6 | − | 2.83004e7i | −0.0858000 | − | 0.264065i | ||||
\(476\) | −5.88405e7 | + | 8.09870e7i | −0.545577 | + | 0.750922i | ||||
\(477\) | −7.63079e7 | + | 8.67760e7i | −0.703096 | + | 0.799548i | ||||
\(478\) | −4.56136e7 | + | 1.40384e8i | −0.417649 | + | 1.28539i | ||||
\(479\) | −8.29121e7 | − | 2.69398e7i | −0.754417 | − | 0.245125i | −0.0935361 | − | 0.995616i | \(-0.529817\pi\) |
−0.660881 | + | 0.750491i | \(0.729817\pi\) | |||||||
\(480\) | −7.22432e6 | + | 1.55284e8i | −0.0653240 | + | 1.40412i | ||||
\(481\) | −9.29223e7 | − | 6.75120e7i | −0.834996 | − | 0.606660i | ||||
\(482\) | −1.48117e8 | + | 4.81260e7i | −1.32270 | + | 0.429773i | ||||
\(483\) | 2.03191e7 | + | 1.62575e7i | 0.180328 | + | 0.144282i | ||||
\(484\) | 1.47532e7 | − | 8.29223e7i | 0.130122 | − | 0.731367i | ||||
\(485\) | 2.22509e8i | 1.95040i | ||||||||
\(486\) | 1.23691e7 | + | 1.51038e8i | 0.107753 | + | 1.31577i | ||||
\(487\) | 8.50574e7 | + | 6.17978e7i | 0.736419 | + | 0.535040i | 0.891588 | − | 0.452848i | \(-0.149592\pi\) |
−0.155168 | + | 0.987888i | \(0.549592\pi\) | |||||||
\(488\) | 8.91950e6 | + | 1.22766e7i | 0.0767505 | + | 0.105638i | ||||
\(489\) | −1.19998e8 | − | 1.82427e8i | −1.02624 | − | 1.56014i | ||||
\(490\) | 2.44348e7 | − | 7.52027e7i | 0.207693 | − | 0.639212i | ||||
\(491\) | −1.64779e7 | − | 2.26798e7i | −0.139206 | − | 0.191600i | 0.733722 | − | 0.679450i | \(-0.237781\pi\) |
−0.872928 | + | 0.487850i | \(0.837781\pi\) | |||||||
\(492\) | −3.05185e7 | − | 1.11280e8i | −0.256252 | − | 0.934372i | ||||
\(493\) | −6.23293e6 | − | 1.91830e7i | −0.0520178 | − | 0.160094i | ||||
\(494\) | 2.10761e8i | 1.74827i | ||||||||
\(495\) | 1.13787e8 | − | 7.85800e7i | 0.938160 | − | 0.647883i | ||||
\(496\) | 8.59846e7 | 0.704654 | ||||||||
\(497\) | 1.20313e7 | − | 3.90922e6i | 0.0980041 | − | 0.0318435i | ||||
\(498\) | 1.38052e7 | − | 3.78610e6i | 0.111778 | − | 0.0306552i | ||||
\(499\) | 1.57359e8 | − | 1.14328e8i | 1.26645 | − | 0.920131i | 0.267396 | − | 0.963587i | \(-0.413837\pi\) |
0.999055 | + | 0.0434556i | \(0.0138367\pi\) | |||||||
\(500\) | 7.04912e7 | + | 2.29040e7i | 0.563930 | + | 0.183232i | ||||
\(501\) | 8.88385e7 | − | 5.84367e7i | 0.706461 | − | 0.464700i | ||||
\(502\) | −1.86668e8 | + | 1.35622e8i | −1.47557 | + | 1.07206i | ||||
\(503\) | 1.05943e8 | − | 1.45818e8i | 0.832467 | − | 1.14579i | −0.154992 | − | 0.987916i | \(-0.549535\pi\) |
0.987459 | − | 0.157877i | \(-0.0504649\pi\) | |||||||
\(504\) | −1.64943e7 | − | 2.78098e7i | −0.128837 | − | 0.217223i | ||||
\(505\) | −1.62680e8 | −1.26317 | ||||||||
\(506\) | −3.40967e7 | − | 4.06985e7i | −0.263185 | − | 0.314143i | ||||
\(507\) | 8.51594e7 | − | 1.06435e8i | 0.653444 | − | 0.816693i | ||||
\(508\) | 1.55651e7 | + | 4.79044e7i | 0.118730 | + | 0.365414i | ||||
\(509\) | −8.58441e7 | + | 1.18154e8i | −0.650964 | + | 0.895975i | −0.999140 | − | 0.0414541i | \(-0.986801\pi\) |
0.348177 | + | 0.937429i | \(0.386801\pi\) | |||||||
\(510\) | 3.34977e8 | + | 1.55842e7i | 2.52525 | + | 0.117483i | ||||
\(511\) | −1.65699e7 | + | 5.09968e7i | −0.124181 | + | 0.382191i | ||||
\(512\) | −1.35825e8 | − | 4.41323e7i | −1.01198 | − | 0.328811i | ||||
\(513\) | 1.23090e8 | − | 2.17241e7i | 0.911742 | − | 0.160913i | ||||
\(514\) | 4.18368e7 | + | 3.03962e7i | 0.308084 | + | 0.223836i | ||||
\(515\) | −1.20028e8 | + | 3.89996e7i | −0.878743 | + | 0.285521i | ||||
\(516\) | 8.80451e7 | − | 1.10041e8i | 0.640850 | − | 0.800952i | ||||
\(517\) | 908872. | − | 3.63336e6i | 0.00657705 | − | 0.0262928i | ||||
\(518\) | 9.85023e7i | 0.708691i | ||||||||
\(519\) | 4.09753e7 | − | 1.08646e8i | 0.293103 | − | 0.777164i | ||||
\(520\) | −6.29769e7 | − | 4.57554e7i | −0.447890 | − | 0.325411i | ||||
\(521\) | 1.36628e8 | + | 1.88053e8i | 0.966113 | + | 1.32974i | 0.943986 | + | 0.329985i | \(0.107044\pi\) |
0.0221262 | + | 0.999755i | \(0.492956\pi\) | |||||||
\(522\) | −1.87388e7 | − | 1.74736e6i | −0.131744 | − | 0.0122849i | ||||
\(523\) | 8.20002e6 | − | 2.52371e7i | 0.0573205 | − | 0.176414i | −0.918297 | − | 0.395892i | \(-0.870435\pi\) |
0.975617 | + | 0.219478i | \(0.0704354\pi\) | |||||||
\(524\) | −7.23092e7 | − | 9.95250e7i | −0.502573 | − | 0.691733i | ||||
\(525\) | 3.11350e7 | − | 8.53880e6i | 0.215165 | − | 0.0590091i | ||||
\(526\) | −6.76287e7 | − | 2.08140e8i | −0.464701 | − | 1.43020i | ||||
\(527\) | − | 1.45438e8i | − | 0.993675i | ||||||
\(528\) | 5.79219e7 | + | 1.65471e8i | 0.393497 | + | 1.12414i | ||||
\(529\) | 1.33770e8 | 0.903634 | ||||||||
\(530\) | 2.26909e8 | − | 7.37274e7i | 1.52414 | − | 0.495223i | ||||
\(531\) | 2.21840e7 | + | 9.56649e6i | 0.148169 | + | 0.0638954i | ||||
\(532\) | 6.23265e7 | − | 4.52829e7i | 0.413941 | − | 0.300746i | ||||
\(533\) | 2.68657e8 | + | 8.72921e7i | 1.77426 | + | 0.576492i | ||||
\(534\) | 1.38569e8 | + | 2.10660e8i | 0.910003 | + | 1.38343i | ||||
\(535\) | −5.45239e7 | + | 3.96139e7i | −0.356062 | + | 0.258694i | ||||
\(536\) | 3.20656e7 | − | 4.41346e7i | 0.208231 | − | 0.286605i | ||||
\(537\) | −4.82331e7 | + | 1.27890e8i | −0.311474 | + | 0.825876i | ||||
\(538\) | 9.77408e7 | 0.627667 | ||||||||
\(539\) | −4.82383e6 | − | 6.97565e7i | −0.0308053 | − | 0.445470i | ||||
\(540\) | 5.84440e7 | − | 1.19876e8i | 0.371158 | − | 0.761291i | ||||
\(541\) | 6.03079e7 | + | 1.85609e8i | 0.380875 | + | 1.17221i | 0.939429 | + | 0.342744i | \(0.111356\pi\) |
−0.558554 | + | 0.829468i | \(0.688644\pi\) | |||||||
\(542\) | 3.20694e7 | − | 4.41398e7i | 0.201416 | − | 0.277225i | ||||
\(543\) | 7.89325e6 | − | 1.69663e8i | 0.0493011 | − | 1.05971i | ||||
\(544\) | −1.03012e8 | + | 3.17038e8i | −0.639868 | + | 1.96931i | ||||
\(545\) | −2.29830e8 | − | 7.46763e7i | −1.41977 | − | 0.461310i | ||||
\(546\) | −2.28418e8 | − | 1.06267e7i | −1.40331 | − | 0.0652862i | ||||
\(547\) | −1.95931e6 | − | 1.42352e6i | −0.0119713 | − | 0.00869767i | 0.581784 | − | 0.813344i | \(-0.302355\pi\) |
−0.593755 | + | 0.804646i | \(0.702355\pi\) | |||||||
\(548\) | −1.78668e8 | + | 5.80527e7i | −1.08569 | + | 0.352761i | ||||
\(549\) | −1.39626e7 | − | 6.20948e7i | −0.0843817 | − | 0.375265i | ||||
\(550\) | −6.57135e7 | + | 4.54426e6i | −0.394972 | + | 0.0273133i | ||||
\(551\) | 1.55227e7i | 0.0927925i | ||||||||
\(552\) | 1.65850e7 | + | 6.25492e6i | 0.0986046 | + | 0.0371881i | ||||
\(553\) | −1.88154e8 | − | 1.36702e8i | −1.11260 | − | 0.808350i | ||||
\(554\) | −1.69350e8 | − | 2.33091e8i | −0.995993 | − | 1.37087i | ||||
\(555\) | 1.17500e8 | − | 7.72901e7i | 0.687323 | − | 0.452111i | ||||
\(556\) | −2.17071e7 | + | 6.68075e7i | −0.126292 | + | 0.388688i | ||||
\(557\) | −1.00867e8 | − | 1.38831e8i | −0.583690 | − | 0.803380i | 0.410404 | − | 0.911904i | \(-0.365388\pi\) |
−0.994094 | + | 0.108524i | \(0.965388\pi\) | |||||||
\(558\) | −1.24610e8 | − | 5.37360e7i | −0.717217 | − | 0.309288i | ||||
\(559\) | 1.06614e8 | + | 3.28123e8i | 0.610348 | + | 1.87846i | ||||
\(560\) | 1.77413e8i | 1.01023i | ||||||||
\(561\) | 2.79884e8 | − | 9.79713e7i | 1.58522 | − | 0.554894i | ||||
\(562\) | 2.11779e7 | 0.119309 | ||||||||
\(563\) | −2.47702e8 | + | 8.04832e7i | −1.38805 | + | 0.451003i | −0.905306 | − | 0.424760i | \(-0.860358\pi\) |
−0.482740 | + | 0.875764i | \(0.660358\pi\) | |||||||
\(564\) | −955336. | − | 3.48344e6i | −0.00532499 | − | 0.0194165i | ||||
\(565\) | 2.23411e8 | − | 1.62318e8i | 1.23868 | − | 0.899955i | ||||
\(566\) | −1.73448e8 | − | 5.63566e7i | −0.956577 | − | 0.310811i | ||||
\(567\) | 1.73379e7 | + | 1.34498e8i | 0.0951144 | + | 0.737848i | ||||
\(568\) | 6.97121e6 | − | 5.06488e6i | 0.0380420 | − | 0.0276391i | ||||
\(569\) | 2.85023e7 | − | 3.92300e7i | 0.154719 | − | 0.212952i | −0.724620 | − | 0.689148i | \(-0.757985\pi\) |
0.879339 | + | 0.476196i | \(0.157985\pi\) | |||||||
\(570\) | −2.41470e8 | − | 9.10690e7i | −1.30388 | − | 0.491752i | ||||
\(571\) | −3.61066e8 | −1.93945 | −0.969724 | − | 0.244202i | \(-0.921474\pi\) | ||||
−0.969724 | + | 0.244202i | \(0.921474\pi\) | |||||||
\(572\) | 1.92911e8 | + | 4.82560e7i | 1.03079 | + | 0.257848i | ||||
\(573\) | −1.90746e8 | − | 1.52618e8i | −1.01389 | − | 0.811227i | ||||
\(574\) | −7.48616e7 | − | 2.30400e8i | −0.395843 | − | 1.21828i | ||||
\(575\) | −1.04030e7 | + | 1.43184e7i | −0.0547209 | + | 0.0753169i | ||||
\(576\) | 6.26535e7 | + | 5.50954e7i | 0.327852 | + | 0.288302i | ||||
\(577\) | 5.57239e7 | − | 1.71501e8i | 0.290078 | − | 0.892767i | −0.694753 | − | 0.719248i | \(-0.744486\pi\) |
0.984831 | − | 0.173519i | \(-0.0555137\pi\) | |||||||
\(578\) | 4.41460e8 | + | 1.43439e8i | 2.28616 | + | 0.742820i | ||||
\(579\) | −3.98222e6 | + | 8.55965e7i | −0.0205158 | + | 0.440982i | ||||
\(580\) | 1.33992e7 | + | 9.73509e6i | 0.0686744 | + | 0.0498949i | ||||
\(581\) | 1.21830e7 | − | 3.95849e6i | 0.0621190 | − | 0.0201837i | ||||
\(582\) | 3.47634e8 | + | 2.78146e8i | 1.76341 | + | 1.41092i | ||||
\(583\) | 1.61724e8 | − | 1.35490e8i | 0.816147 | − | 0.683758i | ||||
\(584\) | 3.65241e7i | 0.183375i | ||||||||
\(585\) | 1.66553e8 | + | 2.80811e8i | 0.831924 | + | 1.40264i | ||||
\(586\) | −8.82065e7 | − | 6.40858e7i | −0.438336 | − | 0.318470i | ||||
\(587\) | −1.27544e8 | − | 1.75549e8i | −0.630586 | − | 0.867928i | 0.367483 | − | 0.930030i | \(-0.380219\pi\) |
−0.998070 | + | 0.0621025i | \(0.980219\pi\) | |||||||
\(588\) | −3.70594e7 | − | 5.63396e7i | −0.182291 | − | 0.277129i | ||||
\(589\) | −3.45873e7 | + | 1.06449e8i | −0.169266 | + | 0.520948i | ||||
\(590\) | −2.93192e7 | − | 4.03544e7i | −0.142756 | − | 0.196487i | ||||
\(591\) | −4.39276e7 | − | 1.60173e8i | −0.212802 | − | 0.775938i | ||||
\(592\) | 5.50996e7 | + | 1.69579e8i | 0.265573 | + | 0.817349i | ||||
\(593\) | 3.07418e8i | 1.47423i | 0.675767 | + | 0.737115i | \(0.263813\pi\) | ||||
−0.675767 | + | 0.737115i | \(0.736187\pi\) | |||||||
\(594\) | 1.94700e7 | − | 2.76002e8i | 0.0928979 | − | 1.31690i | ||||
\(595\) | 3.00082e8 | 1.42459 | ||||||||
\(596\) | −6.41540e7 | + | 2.08449e7i | −0.303029 | + | 0.0984602i | ||||
\(597\) | −1.10305e8 | + | 3.02514e7i | −0.518410 | + | 0.142175i | ||||
\(598\) | 1.01414e8 | − | 7.36819e7i | 0.474238 | − | 0.344554i | ||||
\(599\) | 1.26713e8 | + | 4.11716e7i | 0.589578 | + | 0.191566i | 0.588587 | − | 0.808434i | \(-0.299684\pi\) |
0.000991319 | 1.00000i | \(0.499684\pi\) | ||||||||
\(600\) | 1.83723e7 | − | 1.20851e7i | 0.0850571 | − | 0.0559494i | ||||
\(601\) | −2.36793e7 | + | 1.72040e7i | −0.109080 | + | 0.0792512i | −0.640988 | − | 0.767551i | \(-0.721475\pi\) |
0.531908 | + | 0.846802i | \(0.321475\pi\) | |||||||
\(602\) | 1.73914e8 | − | 2.39371e8i | 0.797157 | − | 1.09719i | ||||
\(603\) | −1.96794e8 | + | 1.16721e8i | −0.897554 | + | 0.532350i | ||||
\(604\) | −1.57303e8 | −0.713882 | ||||||||
\(605\) | −2.27095e8 | + | 1.10328e8i | −1.02551 | + | 0.498220i | ||||
\(606\) | −2.03357e8 | + | 2.54161e8i | −0.913779 | + | 1.14207i | ||||
\(607\) | −2.00083e7 | − | 6.15793e7i | −0.0894632 | − | 0.275340i | 0.896308 | − | 0.443432i | \(-0.146239\pi\) |
−0.985771 | + | 0.168093i | \(0.946239\pi\) | |||||||
\(608\) | 1.50793e8 | − | 2.07549e8i | 0.670919 | − | 0.923441i | ||||
\(609\) | −1.68232e7 | − | 782668.i | −0.0744829 | − | 0.00346518i | ||||
\(610\) | −4.06075e7 | + | 1.24977e8i | −0.178902 | + | 0.550605i | ||||
\(611\) | 8.40992e6 | + | 2.73255e6i | 0.0368696 | + | 0.0119796i | ||||
\(612\) | 1.88854e8 | − | 2.14761e8i | 0.823895 | − | 0.936919i | ||||
\(613\) | 9.99793e7 | + | 7.26392e7i | 0.434039 | + | 0.315348i | 0.783262 | − | 0.621692i | \(-0.213554\pi\) |
−0.349223 | + | 0.937040i | \(0.613554\pi\) | |||||||
\(614\) | 5.03794e7 | − | 1.63693e7i | 0.217645 | − | 0.0707170i | ||||
\(615\) | −2.16097e8 | + | 2.70084e8i | −0.929018 | + | 1.16111i | ||||
\(616\) | 2.20723e7 | + | 5.47522e7i | 0.0944289 | + | 0.234239i | ||||
\(617\) | 8.47744e7i | 0.360918i | 0.983582 | + | 0.180459i | \(0.0577584\pi\) | ||||
−0.983582 | + | 0.180459i | \(0.942242\pi\) | |||||||
\(618\) | −8.91098e7 | + | 2.36275e8i | −0.377538 | + | 1.00104i | ||||
\(619\) | −1.92409e8 | − | 1.39793e8i | −0.811246 | − | 0.589405i | 0.102946 | − | 0.994687i | \(-0.467173\pi\) |
−0.914192 | + | 0.405282i | \(0.867173\pi\) | |||||||
\(620\) | 7.01950e7 | + | 9.66152e7i | 0.294531 | + | 0.405387i | ||||
\(621\) | −5.34856e7 | − | 5.16342e7i | −0.223338 | − | 0.215607i | ||||
\(622\) | −2.06284e7 | + | 6.34876e7i | −0.0857222 | + | 0.263826i | ||||
\(623\) | 1.32627e8 | + | 1.82545e8i | 0.548489 | + | 0.754930i | ||||
\(624\) | −3.99183e8 | + | 1.09476e8i | −1.64293 | + | 0.450574i | ||||
\(625\) | −9.12837e7 | − | 2.80942e8i | −0.373898 | − | 1.15074i | ||||
\(626\) | 2.12384e8i | 0.865764i | ||||||||
\(627\) | −2.28152e8 | + | 5.14638e6i | −0.925597 | + | 0.0208785i | ||||
\(628\) | −8.67723e7 | −0.350350 | ||||||||
\(629\) | 2.86832e8 | − | 9.31975e7i | 1.15259 | − | 0.374501i | ||||
\(630\) | 1.10874e8 | − | 2.57109e8i | 0.443412 | − | 1.02824i | ||||
\(631\) | 1.84923e8 | − | 1.34354e8i | 0.736042 | − | 0.534766i | −0.155427 | − | 0.987847i | \(-0.549675\pi\) |
0.891469 | + | 0.453082i | \(0.149675\pi\) | |||||||
\(632\) | −1.50663e8 | − | 4.89533e7i | −0.596835 | − | 0.193924i | ||||
\(633\) | −5.89941e7 | − | 8.96858e7i | −0.232593 | − | 0.353600i | ||||
\(634\) | −2.69805e7 | + | 1.96025e7i | −0.105872 | + | 0.0769208i | ||||
\(635\) | 8.87504e7 | − | 1.22154e8i | 0.346616 | − | 0.477077i | ||||
\(636\) | 7.18020e7 | − | 1.90384e8i | 0.279103 | − | 0.740045i | ||||
\(637\) | 1.65089e8 | 0.638704 | ||||||||
\(638\) | 3.33344e7 | + | 8.33850e6i | 0.128360 | + | 0.0321089i | ||||
\(639\) | −3.52602e7 | + | 7.92856e6i | −0.135139 | + | 0.0303873i | ||||
\(640\) | 6.06343e7 | + | 1.86613e8i | 0.231301 | + | 0.711873i | ||||
\(641\) | 2.25556e6 | − | 3.10451e6i | 0.00856406 | − | 0.0117874i | −0.804713 | − | 0.593663i | \(-0.797681\pi\) |
0.813278 | + | 0.581876i | \(0.197681\pi\) | |||||||
\(642\) | −6.26683e6 | + | 1.34704e8i | −0.0236833 | + | 0.509066i | ||||
\(643\) | 3.92825e7 | − | 1.20899e8i | 0.147763 | − | 0.454768i | −0.849593 | − | 0.527439i | \(-0.823152\pi\) |
0.997356 | + | 0.0726710i | \(0.0231523\pi\) | |||||||
\(644\) | −4.35787e7 | − | 1.41596e7i | −0.163161 | − | 0.0530143i | ||||
\(645\) | −4.22001e8 | − | 1.96328e7i | −1.57266 | − | 0.0731650i | ||||
\(646\) | −4.47720e8 | − | 3.25288e8i | −1.66077 | − | 1.20662i | ||||
\(647\) | −8.58944e7 | + | 2.79088e7i | −0.317141 | + | 0.103045i | −0.463262 | − | 0.886221i | \(-0.653321\pi\) |
0.146121 | + | 0.989267i | \(0.453321\pi\) | |||||||
\(648\) | 3.95418e7 | + | 8.34802e7i | 0.145322 | + | 0.306802i | ||||
\(649\) | −3.73885e7 | − | 2.34030e7i | −0.136774 | − | 0.0856125i | ||||
\(650\) | − | 1.55521e8i | − | 0.566303i | ||||||
\(651\) | −1.13623e8 | − | 4.28522e7i | −0.411835 | − | 0.155321i | ||||
\(652\) | 3.11058e8 | + | 2.25997e8i | 1.12227 | + | 0.815378i | ||||
\(653\) | 2.64500e8 | + | 3.64053e8i | 0.949918 | + | 1.30745i | 0.951564 | + | 0.307451i | \(0.0994761\pi\) |
−0.00164586 | + | 0.999999i | \(0.500524\pi\) | |||||||
\(654\) | −4.03966e8 | + | 2.65723e8i | −1.44415 | + | 0.949940i | ||||
\(655\) | −1.13957e8 | + | 3.50722e8i | −0.405523 | + | 1.24807i | ||||
\(656\) | −2.57760e8 | − | 3.54776e8i | −0.913069 | − | 1.25673i | ||||
\(657\) | 6.06598e7 | − | 1.40666e8i | 0.213897 | − | 0.496013i | ||||
\(658\) | −2.34343e6 | − | 7.21233e6i | −0.00822572 | − | 0.0253162i | ||||
\(659\) | − | 3.80187e8i | − | 1.32844i | −0.747538 | − | 0.664219i | \(-0.768764\pi\) | ||
0.747538 | − | 0.664219i | \(-0.231236\pi\) | |||||||
\(660\) | −1.38644e8 | + | 2.00168e8i | −0.482245 | + | 0.696248i | ||||
\(661\) | −4.82773e7 | −0.167163 | −0.0835813 | − | 0.996501i | \(-0.526636\pi\) | ||||
−0.0835813 | + | 0.996501i | \(0.526636\pi\) | |||||||
\(662\) | 3.61729e8 | − | 1.17533e8i | 1.24684 | − | 0.405122i | ||||
\(663\) | 1.85172e8 | + | 6.75193e8i | 0.635383 | + | 2.31679i | ||||
\(664\) | 7.05907e6 | − | 5.12872e6i | 0.0241126 | − | 0.0175188i | ||||
\(665\) | −2.19636e8 | − | 7.13641e7i | −0.746860 | − | 0.242669i | ||||
\(666\) | 2.61273e7 | − | 2.80191e8i | 0.0884446 | − | 0.948487i | ||||
\(667\) | 7.46926e6 | − | 5.42674e6i | 0.0251710 | − | 0.0182878i | ||||
\(668\) | −1.10056e8 | + | 1.51479e8i | −0.369219 | + | 0.508186i | ||||
\(669\) | 1.53282e8 | + | 5.78092e7i | 0.511932 | + | 0.193072i | ||||
\(670\) | 4.72414e8 | 1.57072 | ||||||||
\(671\) | 8.01657e6 | + | 1.15926e8i | 0.0265351 | + | 0.383719i | ||||
\(672\) | 2.17334e8 | + | 1.73891e8i | 0.716175 | + | 0.573019i | ||||
\(673\) | −1.16614e8 | − | 3.58900e8i | −0.382564 | − | 1.17741i | −0.938232 | − | 0.346008i | \(-0.887537\pi\) |
0.555667 | − | 0.831405i | \(-0.312463\pi\) | |||||||
\(674\) | 2.52837e8 | − | 3.48001e8i | 0.825775 | − | 1.13658i | ||||
\(675\) | −9.08287e7 | + | 1.60303e7i | −0.295333 | + | 0.0521231i | ||||
\(676\) | −7.41701e7 | + | 2.28272e8i | −0.240098 | + | 0.738946i | ||||
\(677\) | −3.79191e8 | − | 1.23207e8i | −1.22206 | − | 0.397071i | −0.374227 | − | 0.927337i | \(-0.622092\pi\) |
−0.847831 | + | 0.530267i | \(0.822092\pi\) | |||||||
\(678\) | 2.56783e7 | − | 5.51947e8i | 0.0823905 | − | 1.77096i | ||||
\(679\) | 3.22315e8 | + | 2.34176e8i | 1.02961 | + | 0.748053i | ||||
\(680\) | 1.94397e8 | − | 6.31634e7i | 0.618248 | − | 0.200881i | ||||
\(681\) | −2.51241e8 | − | 2.01020e8i | −0.795516 | − | 0.636501i | ||||
\(682\) | 2.10015e8 | + | 1.31457e8i | 0.662060 | + | 0.414410i | ||||
\(683\) | − | 2.59910e8i | − | 0.815757i | −0.913036 | − | 0.407878i | \(-0.866269\pi\) | ||
0.913036 | − | 0.407878i | \(-0.133731\pi\) | |||||||
\(684\) | −1.89300e8 | + | 1.12276e8i | −0.591537 | + | 0.350847i | ||||
\(685\) | 4.55596e8 | + | 3.31010e8i | 1.41745 | + | 1.02984i | ||||
\(686\) | −2.69585e8 | − | 3.71052e8i | −0.835070 | − | 1.14938i | ||||
\(687\) | 1.97541e8 | + | 3.00313e8i | 0.609239 | + | 0.926197i | ||||
\(688\) | 1.65507e8 | − | 5.09379e8i | 0.508220 | − | 1.56414i | ||||
\(689\) | 2.92790e8 | + | 4.02991e8i | 0.895155 | + | 1.23208i | ||||
\(690\) | 4.05971e7 | + | 1.48029e8i | 0.123580 | + | 0.450609i | ||||
\(691\) | −5.90013e7 | − | 1.81587e8i | −0.178825 | − | 0.550366i | 0.820963 | − | 0.570982i | \(-0.193437\pi\) |
−0.999787 | + | 0.0206159i | \(0.993437\pi\) | |||||||
\(692\) | 2.04462e8i | 0.617012i | ||||||||
\(693\) | 5.92608e6 | − | 2.47526e8i | 0.0178060 | − | 0.743740i | ||||
\(694\) | 6.64477e7 | 0.198793 | ||||||||
\(695\) | 2.00266e8 | − | 6.50704e7i | 0.596558 | − | 0.193833i | ||||
\(696\) | −1.10630e7 | + | 3.03405e6i | −0.0328130 | + | 0.00899900i | ||||
\(697\) | −6.00081e8 | + | 4.35984e8i | −1.77220 | + | 1.28758i | ||||
\(698\) | 3.04579e8 | + | 9.89636e7i | 0.895639 | + | 0.291011i | ||||
\(699\) | 3.55780e8 | − | 2.34027e8i | 1.04172 | − | 0.685228i | ||||
\(700\) | −4.59909e7 | + | 3.34144e7i | −0.134084 | + | 0.0974180i | ||||
\(701\) | −6.75855e7 | + | 9.30235e7i | −0.196200 | + | 0.270047i | −0.895770 | − | 0.444518i | \(-0.853375\pi\) |
0.699570 | + | 0.714564i | \(0.253375\pi\) | |||||||
\(702\) | 6.46919e8 | + | 9.08146e7i | 1.86999 | + | 0.262509i | ||||
\(703\) | −2.32102e8 | −0.668057 | ||||||||
\(704\) | −9.78258e7 | − | 1.16767e8i | −0.280372 | − | 0.334658i | ||||
\(705\) | −6.76460e6 | + | 8.45459e6i | −0.0193052 | + | 0.0241282i | ||||
\(706\) | −3.92775e7 | − | 1.20884e8i | −0.111617 | − | 0.343521i | ||||
\(707\) | −1.71210e8 | + | 2.35650e8i | −0.484474 | + | 0.666821i | ||||
\(708\) | −4.24937e7 | − | 1.97694e6i | −0.119736 | − | 0.00557050i | ||||
\(709\) | 8.02102e7 | − | 2.46862e8i | 0.225056 | − | 0.692652i | −0.773230 | − | 0.634126i | \(-0.781360\pi\) |
0.998286 | − | 0.0585256i | \(-0.0186399\pi\) | |||||||
\(710\) | 7.09673e7 | + | 2.30587e7i | 0.198282 | + | 0.0644258i | ||||
\(711\) | 4.98947e8 | + | 4.38757e8i | 1.38818 | + | 1.22072i | ||||
\(712\) | 1.24341e8 | + | 9.03390e7i | 0.344488 | + | 0.250285i | ||||
\(713\) | 6.33130e7 | − | 2.05716e7i | 0.174672 | − | 0.0567545i | ||||
\(714\) | 3.75115e8 | − | 4.68829e8i | 1.03055 | − | 1.28801i | ||||
\(715\) | −2.22877e8 | − | 5.52865e8i | −0.609742 | − | 1.51252i | ||||
\(716\) | − | 2.40677e8i | − | 0.655685i | ||||||
\(717\) | 1.33163e8 | − | 3.53084e8i | 0.361266 | − | 0.957900i | ||||
\(718\) | −1.27499e8 | − | 9.26337e7i | −0.344457 | − | 0.250263i | ||||
\(719\) | 3.21105e8 | + | 4.41963e8i | 0.863894 | + | 1.18905i | 0.980627 | + | 0.195885i | \(0.0627580\pi\) |
−0.116733 | + | 0.993163i | \(0.537242\pi\) | |||||||
\(720\) | 4.70578e7 | − | 5.04652e8i | 0.126077 | − | 1.35206i | ||||
\(721\) | −6.98289e7 | + | 2.14911e8i | −0.186307 | + | 0.573394i | ||||
\(722\) | −4.17150e7 | − | 5.74157e7i | −0.110836 | − | 0.152553i | ||||
\(723\) | 3.83967e8 | − | 1.05303e8i | 1.01596 | − | 0.278629i | ||||
\(724\) | 9.24181e7 | + | 2.84434e8i | 0.243524 | + | 0.749489i | ||||
\(725\) | − | 1.14543e7i | − | 0.0300575i | ||||||
\(726\) | −1.11507e8 | + | 4.92713e8i | −0.291403 | + | 1.28761i | ||||
\(727\) | −2.00344e8 | −0.521402 | −0.260701 | − | 0.965420i | \(-0.583954\pi\) | ||||
−0.260701 | + | 0.965420i | \(0.583954\pi\) | |||||||
\(728\) | −1.32558e8 | + | 4.30706e7i | −0.343567 | + | 0.111632i | ||||
\(729\) | −1.36427e7 | − | 3.87180e8i | −0.0352143 | − | 0.999380i | ||||
\(730\) | −2.55882e8 | + | 1.85909e8i | −0.657765 | + | 0.477894i | ||||
\(731\) | −8.61582e8 | − | 2.79945e8i | −2.20569 | − | 0.716672i | ||||
\(732\) | 6.15877e7 | + | 9.36289e7i | 0.157022 | + | 0.238713i | ||||
\(733\) | −3.44906e8 | + | 2.50589e8i | −0.875768 | + | 0.636283i | −0.932129 | − | 0.362127i | \(-0.882050\pi\) |
0.0563601 | + | 0.998411i | \(0.482050\pi\) | |||||||
\(734\) | −3.41912e8 | + | 4.70602e8i | −0.864622 | + | 1.19005i | ||||
\(735\) | −7.13345e7 | + | 1.89144e8i | −0.179654 | + | 0.476355i | ||||
\(736\) | −1.52586e8 | −0.382720 | ||||||||
\(737\) | 3.87451e8 | − | 1.56193e8i | 0.967865 | − | 0.390175i | ||||
\(738\) | 1.51832e8 | + | 6.75233e8i | 0.377741 | + | 1.67990i | ||||
\(739\) | 4.36200e7 | + | 1.34248e8i | 0.108082 | + | 0.332641i | 0.990441 | − | 0.137934i | \(-0.0440463\pi\) |
−0.882360 | + | 0.470576i | \(0.844046\pi\) | |||||||
\(740\) | −1.45563e8 | + | 2.00351e8i | −0.359217 | + | 0.494420i | ||||
\(741\) | 2.50399e7 | − | 5.38224e8i | 0.0615429 | − | 1.32284i | ||||
\(742\) | 1.32009e8 | − | 4.06282e8i | 0.323141 | − | 0.994526i | ||||
\(743\) | 2.87932e8 | + | 9.35548e7i | 0.701978 | + | 0.228086i | 0.638192 | − | 0.769877i | \(-0.279683\pi\) |
0.0637858 | + | 0.997964i | \(0.479683\pi\) | |||||||
\(744\) | −8.26263e7 | − | 3.84403e6i | −0.200632 | − | 0.00933401i | ||||
\(745\) | 1.63590e8 | + | 1.18855e8i | 0.395629 | + | 0.287441i | ||||
\(746\) | −6.05585e8 | + | 1.96766e8i | −1.45868 | + | 0.473952i | ||||
\(747\) | −3.57046e7 | + | 8.02848e6i | −0.0856568 | + | 0.0192607i | ||||
\(748\) | −4.00249e8 | + | 3.35324e8i | −0.956370 | + | 0.801235i | ||||
\(749\) | 1.20671e8i | 0.287183i | ||||||||
\(750\) | −4.15961e8 | − | 1.56877e8i | −0.985981 | − | 0.371857i | ||||
\(751\) | −5.87382e8 | − | 4.26758e8i | −1.38676 | − | 1.00754i | −0.996212 | − | 0.0869564i | \(-0.972286\pi\) |
−0.390547 | − | 0.920583i | \(-0.627714\pi\) | |||||||
\(752\) | −8.06879e6 | − | 1.11057e7i | −0.0189738 | − | 0.0261152i | ||||
\(753\) | 4.92812e8 | − | 3.24165e8i | 1.15424 | − | 0.759243i | ||||
\(754\) | −2.50699e7 | + | 7.71573e7i | −0.0584842 | + | 0.179996i | ||||
\(755\) | 2.77165e8 | + | 3.81485e8i | 0.644017 | + | 0.886413i | ||||
\(756\) | −1.12138e8 | − | 2.10820e8i | −0.259529 | − | 0.487918i | ||||
\(757\) | 1.86541e8 | + | 5.74113e8i | 0.430017 | + | 1.32346i | 0.898107 | + | 0.439777i | \(0.144942\pi\) |
−0.468090 | + | 0.883681i | \(0.655058\pi\) | |||||||
\(758\) | − | 9.79783e8i | − | 2.24969i | ||||||
\(759\) | 8.22383e7 | + | 1.07984e8i | 0.188083 | + | 0.246964i | ||||
\(760\) | −1.57304e8 | −0.358344 | ||||||||
\(761\) | −6.87176e8 | + | 2.23277e8i | −1.55924 | + | 0.506629i | −0.956606 | − | 0.291385i | \(-0.905884\pi\) |
−0.602639 | + | 0.798014i | \(0.705884\pi\) | |||||||
\(762\) | −7.99046e7 | − | 2.91356e8i | −0.180595 | − | 0.658505i | ||||
\(763\) | −3.50053e8 | + | 2.54328e8i | −0.788061 | + | 0.572560i | ||||
\(764\) | 4.09097e8 | + | 1.32924e8i | 0.917374 | + | 0.298073i | ||||
\(765\) | −8.53587e8 | − | 7.95954e7i | −1.90662 | − | 0.177788i | ||||
\(766\) | 5.83429e8 | − | 4.23886e8i | 1.29808 | − | 0.943111i | ||||
\(767\) | 6.12129e7 | − | 8.42523e7i | 0.135662 | − | 0.186722i | ||||
\(768\) | 5.52391e8 | + | 2.08331e8i | 1.21945 | + | 0.459907i | ||||
\(769\) | 4.78916e8 | 1.05313 | 0.526563 | − | 0.850136i | \(-0.323480\pi\) | ||||
0.526563 | + | 0.850136i | \(0.323480\pi\) | |||||||
\(770\) | −2.71236e8 | + | 4.33325e8i | −0.594122 | + | 0.949165i | ||||
\(771\) | −1.03228e8 | − | 8.25940e7i | −0.225235 | − | 0.180213i | ||||
\(772\) | −4.66258e7 | − | 1.43500e8i | −0.101339 | − | 0.311888i | ||||
\(773\) | 3.57900e7 | − | 4.92607e7i | 0.0774860 | − | 0.106650i | −0.768515 | − | 0.639832i | \(-0.779004\pi\) |
0.846001 | + | 0.533182i | \(0.179004\pi\) | |||||||
\(774\) | −5.58191e8 | + | 6.34765e8i | −1.20382 | + | 1.36896i | ||||
\(775\) | 2.55221e7 | − | 7.85488e7i | 0.0548290 | − | 0.168746i | ||||
\(776\) | 2.58091e8 | + | 8.38589e7i | 0.552316 | + | 0.179458i | ||||
\(777\) | 1.17028e7 | − | 2.51548e8i | 0.0249475 | − | 0.536238i | ||||
\(778\) | 5.61232e8 | + | 4.07759e8i | 1.19180 | + | 0.865894i | ||||
\(779\) | 5.42895e8 | − | 1.76397e8i | 1.14843 | − | 0.373147i | ||||
\(780\) | −4.48891e8 | − | 3.59163e8i | −0.945927 | − | 0.756845i | ||||
\(781\) | 6.58278e7 | − | 4.55216e6i | 0.138184 | − | 0.00955574i | ||||
\(782\) | 3.29156e8i | 0.688306i | ||||||||
\(783\) | 4.76462e7 | + | 6.68858e6i | 0.0992528 | + | 0.0139331i | ||||
\(784\) | −2.07339e8 | − | 1.50640e8i | −0.430261 | − | 0.312603i | ||||
\(785\) | 1.52891e8 | + | 2.10436e8i | 0.316062 | + | 0.435022i | ||||
\(786\) | 4.05495e8 | + | 6.16455e8i | 0.835061 | + | 1.26950i | ||||
\(787\) | 7.24159e7 | − | 2.22873e8i | 0.148563 | − | 0.457229i | −0.848889 | − | 0.528571i | \(-0.822728\pi\) |
0.997452 | + | 0.0713419i | \(0.0227281\pi\) | |||||||
\(788\) | 1.71899e8 | + | 2.36599e8i | 0.351314 | + | 0.483542i | ||||
\(789\) | 1.47976e8 | + | 5.39566e8i | 0.301274 | + | 1.09853i | ||||
\(790\) | −4.23919e8 | − | 1.30469e9i | −0.859809 | − | 2.64622i | ||||
\(791\) | − | 4.94450e8i | − | 0.999063i | ||||||
\(792\) | −4.82621e7 | − | 1.61598e8i | −0.0971472 | − | 0.325282i | ||||
\(793\) | −2.74356e8 | −0.550167 | ||||||||
\(794\) | −1.00104e9 | + | 3.25259e8i | −1.99982 | + | 0.649782i | ||||
\(795\) | −5.88224e8 | + | 1.61321e8i | −1.17069 | + | 0.321062i | ||||
\(796\) | 1.62937e8 | − | 1.18381e8i | 0.323058 | − | 0.234716i | ||||
\(797\) | −2.39172e8 | − | 7.77117e7i | −0.472428 | − | 0.153501i | 0.0631202 | − | 0.998006i | \(-0.479895\pi\) |
−0.535548 | + | 0.844505i | \(0.679895\pi\) | |||||||
\(798\) | −3.86049e8 | + | 2.53937e8i | −0.759685 | + | 0.499710i | ||||
\(799\) | −1.87846e7 | + | 1.36478e7i | −0.0368267 | + | 0.0267561i | ||||
\(800\) | −1.11271e8 | + | 1.53151e8i | −0.217325 | + | 0.299123i | ||||
\(801\) | −3.28840e8 | − | 5.54431e8i | −0.639862 | − | 1.07882i | ||||
\(802\) | −4.50486e7 | −0.0873289 | ||||||||
\(803\) | −1.48395e8 | + | 2.37075e8i | −0.286598 | + | 0.457867i | ||||
\(804\) | 2.51703e8 | − | 3.14586e8i | 0.484307 | − | 0.605300i | ||||
\(805\) | 4.24456e7 | + | 1.30634e8i | 0.0813663 | + | 0.250420i | ||||
\(806\) | −3.43839e8 | + | 4.73254e8i | −0.656675 | + | 0.903835i | ||||
\(807\) | −2.49603e8 | − | 1.16123e7i | −0.474930 | − | 0.0220952i | ||||
\(808\) | −6.13106e7 | + | 1.88695e8i | −0.116226 | + | 0.357706i | ||||
\(809\) | −6.57781e8 | − | 2.13726e8i | −1.24233 | − | 0.403656i | −0.387161 | − | 0.922012i | \(-0.626544\pi\) |
−0.855165 | + | 0.518356i | \(0.826544\pi\) | |||||||
\(810\) | −3.83579e8 | + | 7.01940e8i | −0.721771 | + | 1.32082i | ||||
\(811\) | −2.21164e8 | − | 1.60685e8i | −0.414622 | − | 0.301241i | 0.360848 | − | 0.932625i | \(-0.382487\pi\) |
−0.775470 | + | 0.631384i | \(0.782487\pi\) | |||||||
\(812\) | 2.82035e7 | − | 9.16387e6i | 0.0526787 | − | 0.0171163i | ||||
\(813\) | −8.71406e7 | + | 1.08911e8i | −0.162162 | + | 0.202675i | ||||
\(814\) | −1.24681e8 | + | 4.98431e8i | −0.231167 | + | 0.924128i | ||||
\(815\) | − | 1.15256e9i | − | 2.12908i | ||||||
\(816\) | 3.83538e8 | − | 1.01695e9i | 0.705891 | − | 1.87168i | ||||
\(817\) | 5.64034e8 | + | 4.09795e8i | 1.03428 | + | 0.751450i | ||||
\(818\) | −7.42780e7 | − | 1.02235e8i | −0.135706 | − | 0.186784i | ||||
\(819\) | 5.82054e8 | + | 5.42754e7i | 1.05953 | + | 0.0987987i | ||||
\(820\) | 1.88211e8 | − | 5.79255e8i | 0.341353 | − | 1.05058i | ||||
\(821\) | 3.38557e8 | + | 4.65984e8i | 0.611790 | + | 0.842056i | 0.996723 | − | 0.0808879i | \(-0.0257756\pi\) |
−0.384933 | + | 0.922944i | \(0.625776\pi\) | |||||||
\(822\) | 1.08666e9 | − | 2.98018e8i | 1.95650 | − | 0.536571i | ||||
\(823\) | 2.53263e8 | + | 7.79463e8i | 0.454331 | + | 1.39829i | 0.871919 | + | 0.489650i | \(0.162875\pi\) |
−0.417589 | + | 0.908636i | \(0.637125\pi\) | |||||||
\(824\) | 1.53920e8i | 0.275115i | ||||||||
\(825\) | 1.68354e8 | − | 3.79753e6i | 0.299821 | − | 0.00676300i | ||||
\(826\) | −8.93117e7 | −0.158478 | ||||||||
\(827\) | −3.04417e8 | + | 9.89111e7i | −0.538211 | + | 0.174875i | −0.565494 | − | 0.824752i | \(-0.691314\pi\) |
0.0272832 | + | 0.999628i | \(0.491314\pi\) | |||||||
\(828\) | 1.20204e8 | + | 5.18361e7i | 0.211753 | + | 0.0913149i | ||||
\(829\) | 7.29239e8 | − | 5.29823e8i | 1.27999 | − | 0.929967i | 0.280437 | − | 0.959872i | \(-0.409521\pi\) |
0.999553 | + | 0.0299052i | \(0.00952055\pi\) | |||||||
\(830\) | 7.18618e7 | + | 2.33493e7i | 0.125679 | + | 0.0408357i | ||||
\(831\) | 4.04781e8 | + | 6.15369e8i | 0.705370 | + | 1.07234i | ||||
\(832\) | 2.90965e8 | − | 2.11398e8i | 0.505208 | − | 0.367055i | ||||
\(833\) | −2.54798e8 | + | 3.50700e8i | −0.440820 | + | 0.606737i | ||||
\(834\) | 1.48679e8 | − | 3.94223e8i | 0.256301 | − | 0.679585i | ||||
\(835\) | 5.61277e8 | 0.964090 | ||||||||
\(836\) | 3.72696e8 | − | 1.50245e8i | 0.637875 | − | 0.257147i | ||||
\(837\) | 3.11835e8 | + | 1.52032e8i | 0.531801 | + | 0.259273i | ||||
\(838\) | 1.22221e8 | + | 3.76159e8i | 0.207690 | + | 0.639204i | ||||
\(839\) | 8.42355e7 | − | 1.15940e8i | 0.142629 | − | 0.196313i | −0.731726 | − | 0.681599i | \(-0.761285\pi\) |
0.874355 | + | 0.485287i | \(0.161285\pi\) | |||||||
\(840\) | 7.93142e6 | − | 1.70483e8i | 0.0133817 | − | 0.287636i | ||||
\(841\) | 1.81964e8 | − | 5.60028e8i | 0.305913 | − | 0.941503i | ||||
\(842\) | 1.23653e9 | + | 4.01772e8i | 2.07141 | + | 0.673043i | ||||
\(843\) | −5.40826e7 | − | 2.51609e6i | −0.0902765 | − | 0.00419995i | ||||
\(844\) | 1.52924e8 | + | 1.11106e8i | 0.254359 | + | 0.184803i | ||||
\(845\) | 6.84282e8 | − | 2.22337e8i | 1.13414 | − | 0.368503i | ||||
\(846\) | 4.75287e6 | + | 2.11372e7i | 0.00784956 | + | 0.0349088i | ||||
\(847\) | −7.91854e7 | + | 4.45070e8i | −0.130315 | + | 0.732451i | ||||
\(848\) | − | 7.73289e8i | − | 1.26810i | ||||||
\(849\) | 4.36243e8 | + | 1.64526e8i | 0.712861 | + | 0.268851i | ||||
\(850\) | 3.30374e8 | + | 2.40031e8i | 0.537959 | + | 0.390850i | ||||
\(851\) | 8.11429e7 | + | 1.11684e8i | 0.131662 | + | 0.181218i | ||||
\(852\) | 5.31666e7 | − | 3.49722e7i | 0.0859646 | − | 0.0565463i | ||||
\(853\) | 2.79720e8 | − | 8.60890e8i | 0.450689 | − | 1.38708i | −0.425434 | − | 0.904989i | \(-0.639879\pi\) |
0.876123 | − | 0.482088i | \(-0.160121\pi\) | |||||||
\(854\) | 1.38298e8 | + | 1.90352e8i | 0.222046 | + | 0.305621i | ||||
\(855\) | 6.05829e8 | + | 2.61254e8i | 0.969285 | + | 0.417988i | ||||
\(856\) | 2.53998e7 | + | 7.81725e7i | 0.0404957 | + | 0.124633i | ||||
\(857\) | − | 7.54218e8i | − | 1.19827i | −0.800648 | − | 0.599135i | \(-0.795511\pi\) | ||
0.800648 | − | 0.599135i | \(-0.204489\pi\) | |||||||
\(858\) | −1.14237e9 | − | 3.42896e8i | −1.80860 | − | 0.542876i | ||||
\(859\) | −3.52866e8 | −0.556712 | −0.278356 | − | 0.960478i | \(-0.589790\pi\) | ||||
−0.278356 | + | 0.960478i | \(0.589790\pi\) | |||||||
\(860\) | 7.07470e8 | − | 2.29871e8i | 1.11228 | − | 0.361400i | ||||
\(861\) | 1.63803e8 | + | 5.97273e8i | 0.256632 | + | 0.935757i | ||||
\(862\) | −4.74565e8 | + | 3.44792e8i | −0.740925 | + | 0.538314i | ||||
\(863\) | 8.15817e7 | + | 2.65075e7i | 0.126929 | + | 0.0412417i | 0.371793 | − | 0.928316i | \(-0.378743\pi\) |
−0.244864 | + | 0.969557i | \(0.578743\pi\) | |||||||
\(864\) | −5.72085e8 | − | 5.52282e8i | −0.886991 | − | 0.856287i | ||||
\(865\) | 4.95851e8 | − | 3.60257e8i | 0.766131 | − | 0.556627i | ||||
\(866\) | −7.56951e8 | + | 1.04185e9i | −1.16550 | + | 1.60418i | ||||
\(867\) | −1.11032e9 | − | 4.18752e8i | −1.70370 | − | 0.642539i | ||||
\(868\) | 2.13827e8 | 0.326967 | ||||||||
\(869\) | −7.79045e8 | − | 9.29884e8i | −1.18714 | − | 1.41700i | ||||
\(870\) | −7.75671e7 | − | 6.20623e7i | −0.117793 | − | 0.0942475i | ||||
\(871\) | 3.04787e8 | + | 9.38038e8i | 0.461256 | + | 1.41960i | ||||
\(872\) | −1.73236e8 | + | 2.38439e8i | −0.261269 | + | 0.359606i | ||||
\(873\) | −8.54716e8 | − | 7.51608e8i | −1.28463 | − | 1.12966i | ||||
\(874\) | 7.82784e7 | − | 2.40916e8i | 0.117249 | − | 0.360854i | ||||
\(875\) | −3.78349e8 | − | 1.22933e8i | −0.564766 | − | 0.183503i | ||||
\(876\) | −1.25355e7 | + | 2.69447e8i | −0.0186479 | + | 0.400831i | ||||
\(877\) | −8.44320e8 | − | 6.13434e8i | −1.25172 | − | 0.909430i | −0.253402 | − | 0.967361i | \(-0.581550\pi\) |
−0.998321 | + | 0.0579313i | \(0.981550\pi\) | |||||||
\(878\) | 8.33086e8 | − | 2.70686e8i | 1.23085 | − | 0.399929i | ||||
\(879\) | 2.17641e8 | + | 1.74137e8i | 0.320460 | + | 0.256404i | ||||
\(880\) | −2.24563e8 | + | 8.97725e8i | −0.329526 | + | 1.31733i | ||||
\(881\) | − | 2.16699e7i | − | 0.0316904i | −0.999874 | − | 0.0158452i | \(-0.994956\pi\) | ||
0.999874 | − | 0.0158452i | \(-0.00504390\pi\) | |||||||
\(882\) | 2.06335e8 | + | 3.47886e8i | 0.300724 | + | 0.507027i | ||||
\(883\) | 3.14240e8 | + | 2.28309e8i | 0.456435 | + | 0.331620i | 0.792131 | − | 0.610351i | \(-0.208971\pi\) |
−0.335696 | + | 0.941970i | \(0.608971\pi\) | |||||||
\(884\) | −7.24624e8 | − | 9.97359e8i | −1.04895 | − | 1.44376i | ||||
\(885\) | 7.00787e7 | + | 1.06537e8i | 0.101101 | + | 0.153699i | ||||
\(886\) | −2.97076e8 | + | 9.14306e8i | −0.427136 | + | 1.31459i | ||||
\(887\) | −2.92584e8 | − | 4.02708e8i | −0.419257 | − | 0.577058i | 0.546189 | − | 0.837662i | \(-0.316078\pi\) |
−0.965446 | + | 0.260604i | \(0.916078\pi\) | |||||||
\(888\) | −4.53664e7 | − | 1.65419e8i | −0.0647881 | − | 0.236236i | ||||
\(889\) | −8.35428e7 | − | 2.57118e8i | −0.118906 | − | 0.365955i | ||||
\(890\) | 1.33094e9i | 1.88794i | ||||||||
\(891\) | −8.25119e7 | + | 7.02519e8i | −0.116650 | + | 0.993173i | ||||
\(892\) | −2.88461e8 | −0.406436 | ||||||||
\(893\) | 1.69945e7 | − | 5.52186e6i | 0.0238646 | − | 0.00775409i | ||||
\(894\) | 3.90186e8 | − | 1.07009e8i | 0.546084 | − | 0.149764i | ||||
\(895\) | −5.83679e8 | + | 4.24068e8i | −0.814152 | + | 0.591516i | ||||
\(896\) | 3.34132e8 | + | 1.08566e8i | 0.464508 | + | 0.150928i | ||||
\(897\) | −2.67738e8 | + | 1.76114e8i | −0.370965 | + | 0.244016i | ||||
\(898\) | 5.35362e8 | − | 3.88963e8i | 0.739297 | − | 0.537130i | ||||
\(899\) | −2.53241e7 | + | 3.48556e7i | −0.0348542 | + | 0.0479726i | ||||
\(900\) | 1.39685e8 | − | 8.28487e7i | 0.191612 | − | 0.113647i | ||||
\(901\) | −1.30797e9 | −1.78823 | ||||||||
\(902\) | −8.71739e7 | − | 1.26060e9i | −0.118787 | − | 1.71775i | ||||
\(903\) | −4.72566e8 | + | 5.90626e8i | −0.641800 | + | 0.802139i | ||||
\(904\) | −1.04075e8 | − | 3.20311e8i | −0.140878 | − | 0.433578i | ||||
\(905\) | 5.26958e8 | − | 7.25295e8i | 0.710935 | − | 0.978518i | ||||
\(906\) | 9.42474e8 | + | 4.38469e7i | 1.26732 | + | 0.0589595i | ||||
\(907\) | −8.16604e7 | + | 2.51325e8i | −0.109443 | + | 0.336832i | −0.990748 | − | 0.135717i | \(-0.956666\pi\) |
0.881304 | + | 0.472549i | \(0.156666\pi\) | |||||||
\(908\) | 5.38841e8 | + | 1.75080e8i | 0.719786 | + | 0.233873i | ||||
\(909\) | 5.49514e8 | − | 6.24897e8i | 0.731622 | − | 0.831988i | ||||
\(910\) | −9.76468e8 | − | 7.09446e8i | −1.29579 | − | 0.941445i | ||||
\(911\) | −2.65159e8 | + | 8.61554e7i | −0.350712 | + | 0.113953i | −0.479075 | − | 0.877774i | \(-0.659028\pi\) |
0.128363 | + | 0.991727i | \(0.459028\pi\) | |||||||
\(912\) | −5.22567e8 | + | 6.53118e8i | −0.688901 | + | 0.861008i | ||||
\(913\) | 6.66575e7 | − | 4.60953e6i | 0.0875864 | − | 0.00605682i | ||||
\(914\) | 2.89800e8i | 0.379542i | ||||||||
\(915\) | 1.18548e8 | − | 3.14332e8i | 0.154751 | − | 0.410323i | ||||
\(916\) | −5.12065e8 | − | 3.72037e8i | −0.666252 | − | 0.484060i | ||||
\(917\) | 3.88106e8 | + | 5.34183e8i | 0.503318 | + | 0.692758i | ||||
\(918\) | −1.19137e9 | + | 1.23409e9i | −1.54000 | + | 1.59522i | ||||
\(919\) | −2.82966e8 | + | 8.70880e8i | −0.364576 | + | 1.12205i | 0.585670 | + | 0.810549i | \(0.300831\pi\) |
−0.950246 | + | 0.311500i | \(0.899169\pi\) | |||||||
\(920\) | 5.49936e7 | + | 7.56922e7i | 0.0706234 | + | 0.0972048i | ||||
\(921\) | −1.30600e8 | + | 3.58171e7i | −0.167172 | + | 0.0458471i | ||||
\(922\) | −1.59622e8 | − | 4.91266e8i | −0.203657 | − | 0.626792i | ||||
\(923\) | 1.55791e8i | 0.198124i | ||||||||
\(924\) | 1.44041e8 | + | 4.11496e8i | 0.182587 | + | 0.521614i | ||||
\(925\) | 1.71269e8 | 0.216398 | ||||||||
\(926\) | −5.59687e8 | + | 1.81853e8i | −0.704875 | + | 0.229028i | ||||
\(927\) | 2.55633e8 | − | 5.92795e8i | 0.320906 | − | 0.744159i | ||||
\(928\) | 7.98916e7 | − | 5.80446e7i | 0.0999671 | − | 0.0726304i | ||||
\(929\) | 3.99636e8 | + | 1.29850e8i | 0.498446 | + | 0.161955i | 0.547441 | − | 0.836844i | \(-0.315602\pi\) |
−0.0489955 | + | 0.998799i | \(0.515602\pi\) | |||||||
\(930\) | −3.93640e8 | − | 5.98431e8i | −0.489384 | − | 0.743987i | ||||
\(931\) | 2.69894e8 | − | 1.96089e8i | 0.334460 | − | 0.242999i | ||||
\(932\) | −4.40752e8 | + | 6.06643e8i | −0.544436 | + | 0.749351i | ||||
\(933\) | 6.02219e7 | − | 1.59679e8i | 0.0741498 | − | 0.196609i | ||||
\(934\) | −1.12575e8 | −0.138166 | ||||||||
\(935\) | 1.51844e9 | + | 3.79834e8i | 1.85765 | + | 0.464685i | ||||
\(936\) | 3.88486e8 | − | 8.73546e7i | 0.473749 | − | 0.106527i | ||||
\(937\) | 1.36192e8 | + | 4.19155e8i | 0.165551 | + | 0.509514i | 0.999076 | − | 0.0429672i | \(-0.0136811\pi\) |
−0.833525 | + | 0.552481i | \(0.813681\pi\) | |||||||
\(938\) | 4.97184e8 | − | 6.84315e8i | 0.602432 | − | 0.829177i | ||||
\(939\) | 2.52328e7 | − | 5.42371e8i | 0.0304767 | − | 0.655088i | ||||
\(940\) | 5.89167e6 | − | 1.81327e7i | 0.00709341 | − | 0.0218313i | ||||
\(941\) | 8.19156e8 | + | 2.66160e8i | 0.983100 | + | 0.319428i | 0.756093 | − | 0.654465i | \(-0.227106\pi\) |
0.227007 | + | 0.973893i | \(0.427106\pi\) | |||||||
\(942\) | 5.19892e8 | + | 2.41870e7i | 0.621957 | + | 0.0289354i | ||||
\(943\) | −2.74676e8 | − | 1.99563e8i | −0.327555 | − | 0.237983i | ||||
\(944\) | −1.53757e8 | + | 4.99587e7i | −0.182776 | + | 0.0593875i | ||||
\(945\) | −3.13688e8 | + | 6.43412e8i | −0.371708 | + | 0.762419i | ||||
\(946\) | 1.18301e9 | − | 9.91109e8i | 1.39738 | − | 1.17071i | ||||
\(947\) | 7.28493e8i | 0.857778i | 0.903357 | + | 0.428889i | \(0.141095\pi\) | ||||
−0.903357 | + | 0.428889i | \(0.858905\pi\) | |||||||
\(948\) | −1.09467e9 | − | 4.12849e8i | −1.28487 | − | 0.484581i | ||||
\(949\) | −5.34232e8 | − | 3.88143e8i | −0.625074 | − | 0.454143i | ||||
\(950\) | −1.84725e8 | − | 2.54252e8i | −0.215454 | − | 0.296547i | ||||
\(951\) | 7.12298e7 | − | 4.68539e7i | 0.0828171 | − | 0.0544759i | ||||
\(952\) | 1.13094e8 | − | 3.48069e8i | 0.131078 | − | 0.403417i | ||||
\(953\) | −2.07574e8 | − | 2.85701e8i | −0.239825 | − | 0.330091i | 0.672090 | − | 0.740469i | \(-0.265397\pi\) |
−0.911915 | + | 0.410378i | \(0.865397\pi\) | |||||||
\(954\) | −4.83266e8 | + | 1.12066e9i | −0.556597 | + | 1.29071i | ||||
\(955\) | −3.98460e8 | − | 1.22633e9i | −0.457483 | − | 1.40799i | ||||
\(956\) | 6.64469e8i | 0.760503i | ||||||||
\(957\) | −8.41363e7 | − | 2.52546e7i | −0.0959948 | − | 0.0288141i | ||||
\(958\) | −9.20729e8 | −1.04721 | ||||||||
\(959\) | 9.58968e8 | − | 3.11588e8i | 1.08730 | − | 0.353284i | ||||
\(960\) | 1.16476e8 | + | 4.24705e8i | 0.131650 | + | 0.480036i | ||||
\(961\) | 4.66679e8 | − | 3.39062e8i | 0.525833 | − | 0.382040i | ||||
\(962\) | −1.15369e9 | − | 3.74856e8i | −1.29588 | − | 0.421056i | ||||
\(963\) | 3.20075e7 | − | 3.43251e8i | 0.0358404 | − | 0.384356i | ||||
\(964\) | −5.67175e8 | + | 4.12077e8i | −0.633120 | + | 0.459989i | ||||
\(965\) | −2.65855e8 | + | 3.65918e8i | −0.295844 | + | 0.407195i | ||||
\(966\) | 2.57153e8 | + | 9.69836e7i | 0.285273 | + | 0.107589i | ||||
\(967\) | 8.36817e7 | 0.0925446 | 0.0462723 | − | 0.998929i | \(-0.485266\pi\) | ||||
0.0462723 | + | 0.998929i | \(0.485266\pi\) | |||||||
\(968\) | 4.23843e7 | + | 3.04990e8i | 0.0467282 | + | 0.336248i | ||||
\(969\) | 1.10471e9 | + | 8.83888e8i | 1.21416 | + | 0.971462i | ||||
\(970\) | 7.26191e8 | + | 2.23498e9i | 0.795674 | + | 2.44883i | ||||
\(971\) | −6.15026e7 | + | 8.46510e7i | −0.0671793 | + | 0.0924644i | −0.841285 | − | 0.540593i | \(-0.818200\pi\) |
0.774105 | + | 0.633057i | \(0.218200\pi\) | |||||||
\(972\) | 2.63058e8 | + | 6.29424e8i | 0.286452 | + | 0.685401i | ||||
\(973\) | 1.16509e8 | − | 3.58577e8i | 0.126479 | − | 0.389264i | ||||
\(974\) | 1.05604e9 | + | 3.43129e8i | 1.14289 | + | 0.371347i | ||||
\(975\) | −1.84770e7 | + | 3.97157e8i | −0.0199351 | + | 0.428498i | ||||
\(976\) | 3.44569e8 | + | 2.50344e8i | 0.370618 | + | 0.269270i | ||||
\(977\) | −2.55098e8 | + | 8.28864e7i | −0.273542 | + | 0.0888790i | −0.442576 | − | 0.896731i | \(-0.645935\pi\) |
0.169034 | + | 0.985610i | \(0.445935\pi\) | |||||||
\(978\) | −1.80069e9 | − | 1.44075e9i | −1.92497 | − | 1.54018i | ||||
\(979\) | 4.40045e8 | + | 1.09157e9i | 0.468975 | + | 1.16333i | ||||
\(980\) | − | 3.55950e8i | − | 0.378191i | ||||||
\(981\) | 1.06319e9 | − | 6.30589e8i | 1.12617 | − | 0.667943i | ||||
\(982\) | −2.39530e8 | − | 1.74029e8i | −0.252945 | − | 0.183775i | ||||
\(983\) | −7.81995e8 | − | 1.07632e9i | −0.823272 | − | 1.13314i | −0.989138 | − | 0.146989i | \(-0.953042\pi\) |
0.165866 | − | 0.986148i | \(-0.446958\pi\) | |||||||
\(984\) | 2.31832e8 | + | 3.52443e8i | 0.243325 | + | 0.369916i | ||||
\(985\) | 2.70907e8 | − | 8.33766e8i | 0.283473 | − | 0.872440i | ||||
\(986\) | −1.25213e8 | − | 1.72341e8i | −0.130623 | − | 0.179787i | ||||
\(987\) | 5.12759e6 | + | 1.86967e7i | 0.00533289 | + | 0.0194453i | ||||
\(988\) | 2.93180e8 | + | 9.02314e8i | 0.303993 | + | 0.935593i | ||||
\(989\) | − | 4.14668e8i | − | 0.428659i | ||||||
\(990\) | 8.86472e8 | − | 1.16065e9i | 0.913607 | − | 1.19618i | ||||
\(991\) | 9.76094e7 | 0.100293 | 0.0501465 | − | 0.998742i | \(-0.484031\pi\) | ||||
0.0501465 | + | 0.998742i | \(0.484031\pi\) | |||||||
\(992\) | 6.77198e8 | − | 2.20035e8i | 0.693715 | − | 0.225402i | ||||
\(993\) | −9.37721e8 | + | 2.57171e8i | −0.957692 | + | 0.262648i | ||||
\(994\) | 1.08090e8 | − | 7.85319e7i | 0.110059 | − | 0.0799626i | ||||
\(995\) | −5.74184e8 | − | 1.86564e8i | −0.582884 | − | 0.189390i | ||||
\(996\) | 5.38367e7 | − | 3.54130e7i | 0.0544879 | − | 0.0358414i | ||||
\(997\) | −9.16315e8 | + | 6.65742e8i | −0.924611 | + | 0.671770i | −0.944668 | − | 0.328029i | \(-0.893616\pi\) |
0.0200561 | + | 0.999799i | \(0.493616\pi\) | |||||||
\(998\) | 1.20746e9 | − | 1.66192e9i | 1.21473 | − | 1.67193i | ||||
\(999\) | −1.00011e8 | + | 7.12426e8i | −0.100311 | + | 0.714568i |
(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 | 33.7.h.a.5.18 | yes | 88 | |
3.2 | odd | 2 | inner | 33.7.h.a.5.5 | ✓ | 88 | |
11.9 | even | 5 | inner | 33.7.h.a.20.5 | yes | 88 | |
33.20 | odd | 10 | inner | 33.7.h.a.20.18 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.7.h.a.5.5 | ✓ | 88 | 3.2 | odd | 2 | inner | |
33.7.h.a.5.18 | yes | 88 | 1.1 | even | 1 | trivial | |
33.7.h.a.20.5 | yes | 88 | 11.9 | even | 5 | inner | |
33.7.h.a.20.18 | yes | 88 | 33.20 | odd | 10 | inner |