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: | \( x^{20} - x^{19} + 78 x^{18} + 79 x^{17} + 10573 x^{16} - 33409 x^{15} + 1262953 x^{14} + \cdots + 25599187870096 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 31.5 | ||
Root | \(2.93057 + 9.01936i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.31 |
Dual form | 33.6.e.b.16.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.62155 | − | 8.06830i | 0.463429 | − | 1.42629i | −0.397518 | − | 0.917594i | \(-0.630128\pi\) |
0.860947 | − | 0.508694i | \(-0.169872\pi\) | |||||||
\(3\) | 7.28115 | − | 5.29007i | 0.467086 | − | 0.339358i | ||||
\(4\) | −32.3365 | − | 23.4938i | −1.01051 | − | 0.734182i | ||||
\(5\) | −8.26670 | − | 25.4423i | −0.147879 | − | 0.455125i | 0.849491 | − | 0.527603i | \(-0.176909\pi\) |
−0.997370 | + | 0.0724781i | \(0.976909\pi\) | |||||||
\(6\) | −23.5940 | − | 72.6147i | −0.267561 | − | 0.823468i | ||||
\(7\) | −58.4588 | − | 42.4728i | −0.450926 | − | 0.327617i | 0.339035 | − | 0.940774i | \(-0.389899\pi\) |
−0.789961 | + | 0.613157i | \(0.789899\pi\) | |||||||
\(8\) | −54.7010 | + | 39.7426i | −0.302183 | + | 0.219549i | ||||
\(9\) | 25.0304 | − | 77.0356i | 0.103006 | − | 0.317019i | ||||
\(10\) | −226.948 | −0.717671 | ||||||||
\(11\) | 164.972 | + | 365.835i | 0.411082 | + | 0.911598i | ||||
\(12\) | −359.731 | −0.721148 | ||||||||
\(13\) | 4.13482 | − | 12.7257i | 0.00678575 | − | 0.0208844i | −0.947606 | − | 0.319441i | \(-0.896505\pi\) |
0.954392 | + | 0.298556i | \(0.0965050\pi\) | |||||||
\(14\) | −495.936 | + | 360.319i | −0.676248 | + | 0.491323i | ||||
\(15\) | −194.782 | − | 141.518i | −0.223523 | − | 0.162399i | ||||
\(16\) | −217.992 | − | 670.909i | −0.212883 | − | 0.655185i | ||||
\(17\) | 167.629 | + | 515.908i | 0.140678 | + | 0.432962i | 0.996430 | − | 0.0844240i | \(-0.0269050\pi\) |
−0.855752 | + | 0.517386i | \(0.826905\pi\) | |||||||
\(18\) | −555.928 | − | 403.905i | −0.404424 | − | 0.293832i | ||||
\(19\) | 1663.80 | − | 1208.82i | 1.05735 | − | 0.768206i | 0.0837497 | − | 0.996487i | \(-0.473310\pi\) |
0.973595 | + | 0.228281i | \(0.0733104\pi\) | |||||||
\(20\) | −330.420 | + | 1016.93i | −0.184711 | + | 0.568481i | ||||
\(21\) | −650.332 | −0.321800 | ||||||||
\(22\) | 3384.15 | − | 371.990i | 1.49071 | − | 0.163860i | ||||
\(23\) | 2306.87 | 0.909293 | 0.454647 | − | 0.890672i | \(-0.349766\pi\) | ||||
0.454647 | + | 0.890672i | \(0.349766\pi\) | |||||||
\(24\) | −188.045 | + | 578.744i | −0.0666399 | + | 0.205097i | ||||
\(25\) | 1949.21 | − | 1416.18i | 0.623746 | − | 0.453178i | ||||
\(26\) | −91.8349 | − | 66.7219i | −0.0266424 | − | 0.0193569i | ||||
\(27\) | −225.273 | − | 693.320i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 892.503 | + | 2746.84i | 0.215137 | + | 0.662123i | ||||
\(29\) | −291.662 | − | 211.905i | −0.0643998 | − | 0.0467892i | 0.555120 | − | 0.831771i | \(-0.312672\pi\) |
−0.619519 | + | 0.784981i | \(0.712672\pi\) | |||||||
\(30\) | −1652.44 | + | 1200.57i | −0.335214 | + | 0.243547i | ||||
\(31\) | −1796.91 | + | 5530.32i | −0.335832 | + | 1.03359i | 0.630478 | + | 0.776207i | \(0.282859\pi\) |
−0.966311 | + | 0.257378i | \(0.917141\pi\) | |||||||
\(32\) | −8148.23 | −1.40666 | ||||||||
\(33\) | 3136.48 | + | 1790.99i | 0.501369 | + | 0.286291i | ||||
\(34\) | 4601.95 | 0.682723 | ||||||||
\(35\) | −597.344 | + | 1838.44i | −0.0824241 | + | 0.253675i | ||||
\(36\) | −2619.25 | + | 1903.00i | −0.336838 | + | 0.244727i | ||||
\(37\) | 5595.19 | + | 4065.14i | 0.671909 | + | 0.488170i | 0.870664 | − | 0.491879i | \(-0.163690\pi\) |
−0.198755 | + | 0.980049i | \(0.563690\pi\) | |||||||
\(38\) | −5391.40 | − | 16593.0i | −0.605679 | − | 1.86409i | ||||
\(39\) | −37.2134 | − | 114.531i | −0.00391776 | − | 0.0120576i | ||||
\(40\) | 1463.34 | + | 1063.18i | 0.144609 | + | 0.105065i | ||||
\(41\) | −2064.07 | + | 1499.63i | −0.191763 | + | 0.139324i | −0.679524 | − | 0.733653i | \(-0.737814\pi\) |
0.487761 | + | 0.872977i | \(0.337814\pi\) | |||||||
\(42\) | −1704.88 | + | 5247.07i | −0.149132 | + | 0.458980i | ||||
\(43\) | −7995.11 | −0.659406 | −0.329703 | − | 0.944085i | \(-0.606949\pi\) | ||||
−0.329703 | + | 0.944085i | \(0.606949\pi\) | |||||||
\(44\) | 3260.25 | − | 15705.6i | 0.253874 | − | 1.22299i | ||||
\(45\) | −2166.88 | −0.159516 | ||||||||
\(46\) | 6047.58 | − | 18612.5i | 0.421393 | − | 1.29691i | ||||
\(47\) | −10980.3 | + | 7977.64i | −0.725052 | + | 0.526781i | −0.887994 | − | 0.459855i | \(-0.847902\pi\) |
0.162942 | + | 0.986636i | \(0.447902\pi\) | |||||||
\(48\) | −5136.39 | − | 3731.80i | −0.321777 | − | 0.233784i | ||||
\(49\) | −3580.16 | − | 11018.6i | −0.213016 | − | 0.655595i | ||||
\(50\) | −6316.24 | − | 19439.4i | −0.357301 | − | 1.09966i | ||||
\(51\) | 3949.72 | + | 2869.64i | 0.212638 | + | 0.154491i | ||||
\(52\) | −432.680 | + | 314.360i | −0.0221900 | + | 0.0161220i | ||||
\(53\) | −12058.6 | + | 37112.5i | −0.589667 | + | 1.81481i | −0.0100060 | + | 0.999950i | \(0.503185\pi\) |
−0.579661 | + | 0.814858i | \(0.696815\pi\) | |||||||
\(54\) | −6184.48 | −0.288615 | ||||||||
\(55\) | 7943.90 | − | 7221.51i | 0.354101 | − | 0.321900i | ||||
\(56\) | 4885.74 | 0.208190 | ||||||||
\(57\) | 5719.63 | − | 17603.2i | 0.233174 | − | 0.717637i | ||||
\(58\) | −2474.32 | + | 1797.70i | −0.0965797 | + | 0.0701692i | ||||
\(59\) | 40226.5 | + | 29226.3i | 1.50447 | + | 1.09306i | 0.968560 | + | 0.248782i | \(0.0800303\pi\) |
0.535907 | + | 0.844277i | \(0.319970\pi\) | |||||||
\(60\) | 2973.78 | + | 9152.36i | 0.106643 | + | 0.328213i | ||||
\(61\) | 5074.04 | + | 15616.3i | 0.174594 | + | 0.537345i | 0.999615 | − | 0.0277574i | \(-0.00883658\pi\) |
−0.825021 | + | 0.565103i | \(0.808837\pi\) | |||||||
\(62\) | 39909.6 | + | 28996.0i | 1.31856 | + | 0.957987i | ||||
\(63\) | −4735.16 | + | 3440.30i | −0.150309 | + | 0.109206i | ||||
\(64\) | −14385.3 | + | 44273.3i | −0.439004 | + | 1.35111i | ||||
\(65\) | −357.951 | −0.0105085 | ||||||||
\(66\) | 22672.7 | − | 20610.9i | 0.640682 | − | 0.582421i | ||||
\(67\) | −59379.1 | −1.61602 | −0.808009 | − | 0.589170i | \(-0.799455\pi\) | ||||
−0.808009 | + | 0.589170i | \(0.799455\pi\) | |||||||
\(68\) | 6700.13 | − | 20620.9i | 0.175716 | − | 0.540798i | ||||
\(69\) | 16796.7 | − | 12203.5i | 0.424718 | − | 0.308576i | ||||
\(70\) | 13267.1 | + | 9639.10i | 0.323616 | + | 0.235121i | ||||
\(71\) | 15279.1 | + | 47024.3i | 0.359710 | + | 1.10707i | 0.953228 | + | 0.302253i | \(0.0977387\pi\) |
−0.593518 | + | 0.804821i | \(0.702261\pi\) | |||||||
\(72\) | 1692.41 | + | 5208.70i | 0.0384746 | + | 0.118413i | ||||
\(73\) | −9735.59 | − | 7073.32i | −0.213823 | − | 0.155352i | 0.475718 | − | 0.879598i | \(-0.342188\pi\) |
−0.689542 | + | 0.724246i | \(0.742188\pi\) | |||||||
\(74\) | 47466.9 | − | 34486.7i | 1.00765 | − | 0.732103i | ||||
\(75\) | 6700.78 | − | 20622.9i | 0.137554 | − | 0.423347i | ||||
\(76\) | −82201.2 | −1.63247 | ||||||||
\(77\) | 5893.97 | − | 28393.1i | 0.113287 | − | 0.545740i | ||||
\(78\) | −1021.63 | −0.0190132 | ||||||||
\(79\) | 31184.9 | − | 95977.3i | 0.562182 | − | 1.73022i | −0.113997 | − | 0.993481i | \(-0.536365\pi\) |
0.676179 | − | 0.736737i | \(-0.263635\pi\) | |||||||
\(80\) | −15267.4 | + | 11092.4i | −0.266710 | + | 0.193776i | ||||
\(81\) | −5307.96 | − | 3856.46i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 6688.44 | + | 20584.9i | 0.109848 | + | 0.338076i | ||||
\(83\) | −32932.3 | − | 101355.i | −0.524719 | − | 1.61492i | −0.764871 | − | 0.644184i | \(-0.777197\pi\) |
0.240151 | − | 0.970735i | \(-0.422803\pi\) | |||||||
\(84\) | 21029.4 | + | 15278.8i | 0.325184 | + | 0.236260i | ||||
\(85\) | 11740.1 | − | 8529.71i | 0.176249 | − | 0.128052i | ||||
\(86\) | −20959.6 | + | 64506.9i | −0.305588 | + | 0.940503i | ||||
\(87\) | −3244.63 | −0.0459586 | ||||||||
\(88\) | −23563.4 | − | 13455.1i | −0.324363 | − | 0.185217i | ||||
\(89\) | 30884.0 | 0.413293 | 0.206647 | − | 0.978416i | \(-0.433745\pi\) | ||||
0.206647 | + | 0.978416i | \(0.433745\pi\) | |||||||
\(90\) | −5680.58 | + | 17483.0i | −0.0739242 | + | 0.227515i | ||||
\(91\) | −782.211 | + | 568.310i | −0.00990194 | + | 0.00719418i | ||||
\(92\) | −74596.1 | − | 54197.2i | −0.918854 | − | 0.667586i | ||||
\(93\) | 16172.2 | + | 49772.9i | 0.193893 | + | 0.596741i | ||||
\(94\) | 35580.7 | + | 109506.i | 0.415331 | + | 1.27826i | ||||
\(95\) | −44509.3 | − | 32337.9i | −0.505989 | − | 0.367623i | ||||
\(96\) | −59328.5 | + | 43104.7i | −0.657030 | + | 0.477361i | ||||
\(97\) | 3.58827 | − | 11.0435i | 3.87218e−5 | − | 0.000119173i | −0.951037 | − | 0.309077i | \(-0.899980\pi\) |
0.951076 | + | 0.308957i | \(0.0999801\pi\) | |||||||
\(98\) | −98286.9 | −1.03379 | ||||||||
\(99\) | 32311.6 | − | 3551.73i | 0.331338 | − | 0.0364210i | ||||
\(100\) | −96302.0 | −0.963020 | ||||||||
\(101\) | −34765.2 | + | 106996.i | −0.339110 | + | 1.04367i | 0.625551 | + | 0.780183i | \(0.284874\pi\) |
−0.964662 | + | 0.263491i | \(0.915126\pi\) | |||||||
\(102\) | 33507.5 | − | 24344.6i | 0.318891 | − | 0.231688i | ||||
\(103\) | −131066. | − | 95225.4i | −1.21730 | − | 0.884422i | −0.221429 | − | 0.975176i | \(-0.571072\pi\) |
−0.995873 | + | 0.0907544i | \(0.971072\pi\) | |||||||
\(104\) | 279.572 | + | 860.435i | 0.00253461 | + | 0.00780072i | ||||
\(105\) | 5376.09 | + | 16545.9i | 0.0475876 | + | 0.146460i | ||||
\(106\) | 267823. | + | 194585.i | 2.31517 | + | 1.68207i | ||||
\(107\) | 133864. | − | 97257.8i | 1.13033 | − | 0.821230i | 0.144584 | − | 0.989492i | \(-0.453815\pi\) |
0.985742 | + | 0.168262i | \(0.0538155\pi\) | |||||||
\(108\) | −9004.19 | + | 27712.1i | −0.0742823 | + | 0.228617i | ||||
\(109\) | −34654.2 | −0.279377 | −0.139688 | − | 0.990196i | \(-0.544610\pi\) | ||||
−0.139688 | + | 0.990196i | \(0.544610\pi\) | |||||||
\(110\) | −37440.0 | − | 83025.4i | −0.295022 | − | 0.654228i | ||||
\(111\) | 62244.3 | 0.479504 | ||||||||
\(112\) | −15751.9 | + | 48479.3i | −0.118655 | + | 0.365184i | ||||
\(113\) | 33896.3 | − | 24627.1i | 0.249722 | − | 0.181434i | −0.455882 | − | 0.890040i | \(-0.650676\pi\) |
0.705604 | + | 0.708607i | \(0.250676\pi\) | |||||||
\(114\) | −127034. | − | 92295.4i | −0.915497 | − | 0.665148i | ||||
\(115\) | −19070.2 | − | 58692.1i | −0.134465 | − | 0.413842i | ||||
\(116\) | 4452.86 | + | 13704.5i | 0.0307252 | + | 0.0945624i | ||||
\(117\) | −876.832 | − | 637.056i | −0.00592178 | − | 0.00430242i | ||||
\(118\) | 341262. | − | 247942.i | 2.25623 | − | 1.63925i | ||||
\(119\) | 12112.7 | − | 37279.0i | 0.0784104 | − | 0.241322i | ||||
\(120\) | 16279.1 | 0.103199 | ||||||||
\(121\) | −106619. | + | 120705.i | −0.662023 | + | 0.749484i | ||||
\(122\) | 139299. | 0.847321 | ||||||||
\(123\) | −7095.64 | + | 21838.1i | −0.0422891 | + | 0.130153i | ||||
\(124\) | 188034. | − | 136615.i | 1.09820 | − | 0.797891i | ||||
\(125\) | −119777. | − | 87023.2i | −0.685644 | − | 0.498150i | ||||
\(126\) | 15343.9 | + | 47223.7i | 0.0861012 | + | 0.264992i | ||||
\(127\) | 64156.2 | + | 197453.i | 0.352963 | + | 1.08631i | 0.957181 | + | 0.289490i | \(0.0934857\pi\) |
−0.604218 | + | 0.796819i | \(0.706514\pi\) | |||||||
\(128\) | 108553. | + | 78868.4i | 0.585621 | + | 0.425479i | ||||
\(129\) | −58213.6 | + | 42294.6i | −0.308000 | + | 0.223775i | ||||
\(130\) | −938.387 | + | 2888.06i | −0.00486994 | + | 0.0149881i | ||||
\(131\) | −41656.8 | −0.212084 | −0.106042 | − | 0.994362i | \(-0.533818\pi\) | ||||
−0.106042 | + | 0.994362i | \(0.533818\pi\) | |||||||
\(132\) | −59345.5 | − | 131602.i | −0.296451 | − | 0.657397i | ||||
\(133\) | −148606. | −0.728461 | ||||||||
\(134\) | −155665. | + | 479088.i | −0.748910 | + | 2.30491i | ||||
\(135\) | −15777.4 | + | 11462.9i | −0.0745076 | + | 0.0541329i | ||||
\(136\) | −29673.0 | − | 21558.7i | −0.137567 | − | 0.0999483i | ||||
\(137\) | 101364. | + | 311968.i | 0.461407 | + | 1.42006i | 0.863446 | + | 0.504442i | \(0.168302\pi\) |
−0.402039 | + | 0.915623i | \(0.631698\pi\) | |||||||
\(138\) | −54428.2 | − | 167513.i | −0.243291 | − | 0.748774i | ||||
\(139\) | −95225.6 | − | 69185.5i | −0.418039 | − | 0.303723i | 0.358809 | − | 0.933411i | \(-0.383183\pi\) |
−0.776848 | + | 0.629688i | \(0.783183\pi\) | |||||||
\(140\) | 62507.8 | − | 45414.6i | 0.269535 | − | 0.195828i | ||||
\(141\) | −37746.9 | + | 116173.i | −0.159894 | + | 0.492104i | ||||
\(142\) | 419461. | 1.74571 | ||||||||
\(143\) | 5337.62 | − | 586.717i | 0.0218277 | − | 0.00239932i | ||||
\(144\) | −57140.3 | −0.229634 | ||||||||
\(145\) | −2980.26 | + | 9172.29i | −0.0117716 | + | 0.0362291i | ||||
\(146\) | −82592.1 | + | 60006.7i | −0.320668 | + | 0.232979i | ||||
\(147\) | −84356.7 | − | 61288.7i | −0.321978 | − | 0.233931i | ||||
\(148\) | −85422.9 | − | 262905.i | −0.320568 | − | 0.986606i | ||||
\(149\) | 30665.0 | + | 94377.2i | 0.113156 | + | 0.348258i | 0.991558 | − | 0.129664i | \(-0.0413900\pi\) |
−0.878402 | + | 0.477922i | \(0.841390\pi\) | |||||||
\(150\) | −148825. | − | 108128.i | −0.540068 | − | 0.392382i | ||||
\(151\) | 317925. | − | 230986.i | 1.13470 | − | 0.824409i | 0.148329 | − | 0.988938i | \(-0.452610\pi\) |
0.986372 | + | 0.164529i | \(0.0526104\pi\) | |||||||
\(152\) | −42969.8 | + | 132247.i | −0.150853 | + | 0.464278i | ||||
\(153\) | 43939.1 | 0.151748 | ||||||||
\(154\) | −213633. | − | 121988.i | −0.725883 | − | 0.414492i | ||||
\(155\) | 155558. | 0.520073 | ||||||||
\(156\) | −1487.42 | + | 4577.81i | −0.00489353 | + | 0.0150607i | ||||
\(157\) | −317651. | + | 230787.i | −1.02849 | + | 0.747244i | −0.968007 | − | 0.250925i | \(-0.919265\pi\) |
−0.0604869 | + | 0.998169i | \(0.519265\pi\) | |||||||
\(158\) | −692621. | − | 503219.i | −2.20726 | − | 1.60367i | ||||
\(159\) | 108527. | + | 334013.i | 0.340444 | + | 1.04778i | ||||
\(160\) | 67359.0 | + | 207310.i | 0.208015 | + | 0.640205i | ||||
\(161\) | −134857. | − | 97979.4i | −0.410024 | − | 0.297900i | ||||
\(162\) | −45030.2 | + | 32716.3i | −0.134808 | + | 0.0979438i | ||||
\(163\) | 121580. | − | 374186.i | 0.358422 | − | 1.10311i | −0.595577 | − | 0.803299i | \(-0.703076\pi\) |
0.953999 | − | 0.299811i | \(-0.0969236\pi\) | |||||||
\(164\) | 101977. | 0.296068 | ||||||||
\(165\) | 19638.5 | − | 94604.7i | 0.0561562 | − | 0.270522i | ||||
\(166\) | −904098. | −2.54651 | ||||||||
\(167\) | 138348. | − | 425790.i | 0.383867 | − | 1.18142i | −0.553432 | − | 0.832894i | \(-0.686682\pi\) |
0.937299 | − | 0.348527i | \(-0.113318\pi\) | |||||||
\(168\) | 35573.8 | − | 25845.9i | 0.0972427 | − | 0.0706510i | ||||
\(169\) | 300238. | + | 218135.i | 0.808627 | + | 0.587502i | ||||
\(170\) | −38042.9 | − | 117084.i | −0.100961 | − | 0.310725i | ||||
\(171\) | −51476.7 | − | 158429.i | −0.134623 | − | 0.414328i | ||||
\(172\) | 258533. | + | 187836.i | 0.666340 | + | 0.484124i | ||||
\(173\) | 22830.3 | − | 16587.2i | 0.0579957 | − | 0.0421364i | −0.558410 | − | 0.829565i | \(-0.688588\pi\) |
0.616405 | + | 0.787429i | \(0.288588\pi\) | |||||||
\(174\) | −8505.95 | + | 26178.6i | −0.0212985 | + | 0.0655502i | ||||
\(175\) | −174098. | −0.429732 | ||||||||
\(176\) | 209480. | − | 190430.i | 0.509753 | − | 0.463398i | ||||
\(177\) | 447505. | 1.07365 | ||||||||
\(178\) | 80964.0 | − | 249181.i | 0.191532 | − | 0.589475i | ||||
\(179\) | 155463. | − | 112950.i | 0.362655 | − | 0.263484i | −0.391504 | − | 0.920177i | \(-0.628045\pi\) |
0.754159 | + | 0.656692i | \(0.228045\pi\) | |||||||
\(180\) | 70069.2 | + | 50908.2i | 0.161193 | + | 0.117113i | ||||
\(181\) | 135695. | + | 417625.i | 0.307869 | + | 0.947525i | 0.978591 | + | 0.205815i | \(0.0659846\pi\) |
−0.670721 | + | 0.741709i | \(0.734015\pi\) | |||||||
\(182\) | 2534.69 | + | 7800.97i | 0.00567213 | + | 0.0174570i | ||||
\(183\) | 119556. | + | 86862.6i | 0.263903 | + | 0.191737i | ||||
\(184\) | −126188. | + | 91681.2i | −0.274773 | + | 0.199634i | ||||
\(185\) | 57172.7 | − | 175960.i | 0.122817 | − | 0.377993i | ||||
\(186\) | 443979. | 0.940980 | ||||||||
\(187\) | −161083. | + | 146435.i | −0.336857 | + | 0.306225i | ||||
\(188\) | 542489. | 1.11943 | ||||||||
\(189\) | −16278.0 | + | 50098.7i | −0.0331473 | + | 0.102017i | ||||
\(190\) | −377595. | + | 274339.i | −0.758826 | + | 0.551319i | ||||
\(191\) | 64782.9 | + | 47067.5i | 0.128492 | + | 0.0933550i | 0.650175 | − | 0.759784i | \(-0.274696\pi\) |
−0.521683 | + | 0.853140i | \(0.674696\pi\) | |||||||
\(192\) | 129467. | + | 398460.i | 0.253459 | + | 0.780066i | ||||
\(193\) | 81668.2 | + | 251349.i | 0.157819 | + | 0.485718i | 0.998436 | − | 0.0559133i | \(-0.0178071\pi\) |
−0.840616 | + | 0.541631i | \(0.817807\pi\) | |||||||
\(194\) | −79.6959 | − | 57.9025i | −0.000152031 | − | 0.000110457i | ||||
\(195\) | −2606.30 | + | 1893.58i | −0.00490837 | + | 0.00356614i | ||||
\(196\) | −143099. | + | 440414.i | −0.266070 | + | 0.818880i | ||||
\(197\) | −284993. | −0.523201 | −0.261600 | − | 0.965176i | \(-0.584250\pi\) | ||||
−0.261600 | + | 0.965176i | \(0.584250\pi\) | |||||||
\(198\) | 56050.1 | − | 270011.i | 0.101605 | − | 0.489461i | ||||
\(199\) | −597612. | −1.06976 | −0.534880 | − | 0.844928i | \(-0.679643\pi\) | ||||
−0.534880 | + | 0.844928i | \(0.679643\pi\) | |||||||
\(200\) | −50340.9 | + | 154933.i | −0.0889909 | + | 0.273886i | ||||
\(201\) | −432348. | + | 314119.i | −0.754820 | + | 0.548409i | ||||
\(202\) | 772139. | + | 560992.i | 1.33143 | + | 0.967338i | ||||
\(203\) | 8050.02 | + | 24775.4i | 0.0137106 | + | 0.0421969i | ||||
\(204\) | −60301.2 | − | 185588.i | −0.101450 | − | 0.312230i | ||||
\(205\) | 55217.1 | + | 40117.6i | 0.0917676 | + | 0.0666730i | ||||
\(206\) | −1.11190e6 | + | 807846.i | −1.82557 | + | 1.32636i | ||||
\(207\) | 57741.9 | − | 177711.i | 0.0936624 | − | 0.288263i | ||||
\(208\) | −9439.12 | −0.0151277 | ||||||||
\(209\) | 716709. | + | 409254.i | 1.13495 | + | 0.648078i | ||||
\(210\) | 147591. | 0.230947 | ||||||||
\(211\) | 189339. | − | 582726.i | 0.292775 | − | 0.901070i | −0.691184 | − | 0.722678i | \(-0.742911\pi\) |
0.983960 | − | 0.178391i | \(-0.0570893\pi\) | |||||||
\(212\) | 1.26185e6 | − | 916785.i | 1.92827 | − | 1.40097i | ||||
\(213\) | 360011. | + | 261564.i | 0.543710 | + | 0.395028i | ||||
\(214\) | −433775. | − | 1.33502e6i | −0.647485 | − | 1.99275i | ||||
\(215\) | 66093.1 | + | 203414.i | 0.0975124 | + | 0.300112i | ||||
\(216\) | 39877.1 | + | 28972.4i | 0.0581552 | + | 0.0422522i | ||||
\(217\) | 339934. | − | 246976.i | 0.490055 | − | 0.356046i | ||||
\(218\) | −90847.9 | + | 279601.i | −0.129471 | + | 0.398472i | ||||
\(219\) | −108305. | −0.152594 | ||||||||
\(220\) | −426538. | + | 46885.6i | −0.594157 | + | 0.0653104i | ||||
\(221\) | 7258.38 | 0.00999676 | ||||||||
\(222\) | 163177. | − | 502206.i | 0.222216 | − | 0.683911i | ||||
\(223\) | 43987.1 | − | 31958.5i | 0.0592329 | − | 0.0430352i | −0.557775 | − | 0.829992i | \(-0.688345\pi\) |
0.617008 | + | 0.786957i | \(0.288345\pi\) | |||||||
\(224\) | 476336. | + | 346078.i | 0.634298 | + | 0.460845i | ||||
\(225\) | −60307.0 | − | 185606.i | −0.0794166 | − | 0.244419i | ||||
\(226\) | −109838. | − | 338047.i | −0.143048 | − | 0.440257i | ||||
\(227\) | −373945. | − | 271687.i | −0.481663 | − | 0.349949i | 0.320306 | − | 0.947314i | \(-0.396214\pi\) |
−0.801969 | + | 0.597365i | \(0.796214\pi\) | |||||||
\(228\) | −598519. | + | 434850.i | −0.762502 | + | 0.553990i | ||||
\(229\) | 119754. | − | 368565.i | 0.150904 | − | 0.464435i | −0.846819 | − | 0.531881i | \(-0.821485\pi\) |
0.997723 | + | 0.0674465i | \(0.0214852\pi\) | |||||||
\(230\) | −523539. | −0.652574 | ||||||||
\(231\) | −107287. | − | 237914.i | −0.132286 | − | 0.293353i | ||||
\(232\) | 24375.9 | 0.0297331 | ||||||||
\(233\) | −197781. | + | 608709.i | −0.238669 | + | 0.734547i | 0.757945 | + | 0.652319i | \(0.226204\pi\) |
−0.996614 | + | 0.0822284i | \(0.973796\pi\) | |||||||
\(234\) | −7438.62 | + | 5404.48i | −0.00888082 | + | 0.00645229i | ||||
\(235\) | 293740. | + | 213415.i | 0.346971 | + | 0.252089i | ||||
\(236\) | −614147. | − | 1.89015e6i | −0.717781 | − | 2.20910i | ||||
\(237\) | −280664. | − | 863796.i | −0.324576 | − | 0.998942i | ||||
\(238\) | −269025. | − | 195458.i | −0.307857 | − | 0.223672i | ||||
\(239\) | −153735. | + | 111695.i | −0.174092 | + | 0.126485i | −0.671419 | − | 0.741078i | \(-0.734315\pi\) |
0.497327 | + | 0.867563i | \(0.334315\pi\) | |||||||
\(240\) | −52484.6 | + | 161531.i | −0.0588171 | + | 0.181021i | ||||
\(241\) | −1.35835e6 | −1.50650 | −0.753248 | − | 0.657737i | \(-0.771514\pi\) | ||||
−0.753248 | + | 0.657737i | \(0.771514\pi\) | |||||||
\(242\) | 694377. | + | 1.17667e6i | 0.762179 | + | 1.29157i | ||||
\(243\) | −59049.0 | −0.0641500 | ||||||||
\(244\) | 202810. | − | 624184.i | 0.218079 | − | 0.671179i | ||||
\(245\) | −250742. | + | 182175.i | −0.266877 | + | 0.193898i | ||||
\(246\) | 157595. | + | 114500.i | 0.166037 | + | 0.120633i | ||||
\(247\) | −8503.53 | − | 26171.2i | −0.00886864 | − | 0.0272949i | ||||
\(248\) | −121497. | − | 373928.i | −0.125440 | − | 0.386064i | ||||
\(249\) | −775961. | − | 563769.i | −0.793125 | − | 0.576239i | ||||
\(250\) | −1.01613e6 | + | 738263.i | −1.02825 | + | 0.747069i | ||||
\(251\) | −233987. | + | 720138.i | −0.234427 | + | 0.721492i | 0.762770 | + | 0.646670i | \(0.223839\pi\) |
−0.997197 | + | 0.0748220i | \(0.976161\pi\) | |||||||
\(252\) | 233944. | 0.232066 | ||||||||
\(253\) | 380569. | + | 843935.i | 0.373794 | + | 0.828910i | ||||
\(254\) | 1.76130e6 | 1.71296 | ||||||||
\(255\) | 40359.0 | − | 124212.i | 0.0388678 | − | 0.119623i | ||||
\(256\) | −284245. | + | 206516.i | −0.271077 | + | 0.196949i | ||||
\(257\) | −120563. | − | 87594.2i | −0.113863 | − | 0.0827261i | 0.529397 | − | 0.848374i | \(-0.322418\pi\) |
−0.643259 | + | 0.765648i | \(0.722418\pi\) | |||||||
\(258\) | 188636. | + | 580563.i | 0.176431 | + | 0.543000i | ||||
\(259\) | −154430. | − | 475287.i | −0.143048 | − | 0.440257i | ||||
\(260\) | 11574.9 | + | 8409.63i | 0.0106190 | + | 0.00771514i | ||||
\(261\) | −23624.6 | + | 17164.3i | −0.0214666 | + | 0.0155964i | ||||
\(262\) | −109205. | + | 336100.i | −0.0982859 | + | 0.302493i | ||||
\(263\) | −2.02601e6 | −1.80615 | −0.903074 | − | 0.429485i | \(-0.858695\pi\) | ||||
−0.903074 | + | 0.429485i | \(0.858695\pi\) | |||||||
\(264\) | −242747. | + | 26683.0i | −0.214360 | + | 0.0235627i | ||||
\(265\) | 1.04391e6 | 0.913164 | ||||||||
\(266\) | −389577. | + | 1.19900e6i | −0.337590 | + | 1.03900i | ||||
\(267\) | 224871. | − | 163378.i | 0.193044 | − | 0.140254i | ||||
\(268\) | 1.92011e6 | + | 1.39504e6i | 1.63301 | + | 1.18645i | ||||
\(269\) | 130374. | + | 401250.i | 0.109853 | + | 0.338091i | 0.990839 | − | 0.135051i | \(-0.0431197\pi\) |
−0.880986 | + | 0.473142i | \(0.843120\pi\) | |||||||
\(270\) | 51125.2 | + | 157347.i | 0.0426802 | + | 0.131356i | ||||
\(271\) | −282892. | − | 205533.i | −0.233990 | − | 0.170004i | 0.464612 | − | 0.885515i | \(-0.346194\pi\) |
−0.698602 | + | 0.715511i | \(0.746194\pi\) | |||||||
\(272\) | 309586. | − | 224927.i | 0.253723 | − | 0.184340i | ||||
\(273\) | −2689.00 | + | 8275.90i | −0.00218366 | + | 0.00672061i | ||||
\(274\) | 2.78278e6 | 2.23925 | ||||||||
\(275\) | 839654. | + | 479458.i | 0.669527 | + | 0.382313i | ||||
\(276\) | −829852. | −0.655735 | ||||||||
\(277\) | 183353. | − | 564302.i | 0.143578 | − | 0.441888i | −0.853247 | − | 0.521507i | \(-0.825370\pi\) |
0.996825 | + | 0.0796184i | \(0.0253702\pi\) | |||||||
\(278\) | −807848. | + | 586936.i | −0.626928 | + | 0.455490i | ||||
\(279\) | 381054. | + | 276852.i | 0.293073 | + | 0.212930i | ||||
\(280\) | −40388.9 | − | 124304.i | −0.0307870 | − | 0.0947526i | ||||
\(281\) | −546959. | − | 1.68337e6i | −0.413227 | − | 1.27178i | −0.913827 | − | 0.406104i | \(-0.866887\pi\) |
0.500600 | − | 0.865679i | \(-0.333113\pi\) | |||||||
\(282\) | 838363. | + | 609106.i | 0.627783 | + | 0.456111i | ||||
\(283\) | 505485. | − | 367256.i | 0.375182 | − | 0.272586i | −0.384174 | − | 0.923261i | \(-0.625514\pi\) |
0.759357 | + | 0.650675i | \(0.225514\pi\) | |||||||
\(284\) | 610708. | − | 1.87956e6i | 0.449301 | − | 1.38281i | ||||
\(285\) | −495148. | −0.361096 | ||||||||
\(286\) | 9259.03 | − | 44603.7i | 0.00669346 | − | 0.0322445i | ||||
\(287\) | 184357. | 0.132116 | ||||||||
\(288\) | −203953. | + | 627704.i | −0.144894 | + | 0.445937i | ||||
\(289\) | 910627. | − | 661609.i | 0.641351 | − | 0.465969i | ||||
\(290\) | 66192.0 | + | 48091.3i | 0.0462179 | + | 0.0335793i | ||||
\(291\) | −32.2944 | − | 99.3919i | −2.23560e−5 | − | 6.88048e-5i | ||||
\(292\) | 148635. | + | 457452.i | 0.102015 | + | 0.313971i | ||||
\(293\) | −902898. | − | 655993.i | −0.614426 | − | 0.446406i | 0.236544 | − | 0.971621i | \(-0.423985\pi\) |
−0.850970 | + | 0.525214i | \(0.823985\pi\) | |||||||
\(294\) | −715642. | + | 519944.i | −0.482867 | + | 0.350823i | ||||
\(295\) | 411043. | − | 1.26506e6i | 0.274999 | − | 0.846361i | ||||
\(296\) | −467622. | −0.310217 | ||||||||
\(297\) | 216477. | − | 196791.i | 0.142403 | − | 0.129454i | ||||
\(298\) | 841854. | 0.549156 | ||||||||
\(299\) | 9538.49 | − | 29356.5i | 0.00617024 | − | 0.0189900i | ||||
\(300\) | −701189. | + | 509444.i | −0.449813 | + | 0.326808i | ||||
\(301\) | 467384. | + | 339575.i | 0.297343 | + | 0.216032i | ||||
\(302\) | −1.03021e6 | − | 3.17065e6i | −0.649991 | − | 2.00047i | ||||
\(303\) | 312887. | + | 962966.i | 0.195785 | + | 0.602566i | ||||
\(304\) | −1.17370e6 | − | 852745.i | −0.728407 | − | 0.529219i | ||||
\(305\) | 355368. | − | 258190.i | 0.218741 | − | 0.158924i | ||||
\(306\) | 115189. | − | 354514.i | 0.0703244 | − | 0.216436i | ||||
\(307\) | 2.03999e6 | 1.23533 | 0.617663 | − | 0.786443i | \(-0.288080\pi\) | ||||
0.617663 | + | 0.786443i | \(0.288080\pi\) | |||||||
\(308\) | −857653. | + | 779661.i | −0.515151 | + | 0.468305i | ||||
\(309\) | −1.45806e6 | −0.868721 | ||||||||
\(310\) | 407805. | − | 1.25509e6i | 0.241017 | − | 0.741774i | ||||
\(311\) | −573467. | + | 416648.i | −0.336208 | + | 0.244269i | −0.743060 | − | 0.669225i | \(-0.766626\pi\) |
0.406852 | + | 0.913494i | \(0.366626\pi\) | |||||||
\(312\) | 6587.37 | + | 4786.00i | 0.00383112 | + | 0.00278347i | ||||
\(313\) | 963156. | + | 2.96429e6i | 0.555694 | + | 1.71025i | 0.694104 | + | 0.719875i | \(0.255801\pi\) |
−0.138410 | + | 0.990375i | \(0.544199\pi\) | |||||||
\(314\) | 1.02932e6 | + | 3.16793e6i | 0.589152 | + | 1.81322i | ||||
\(315\) | 126673. | + | 92033.4i | 0.0719297 | + | 0.0522600i | ||||
\(316\) | −3.26328e6 | + | 2.37091e6i | −1.83839 | + | 1.33567i | ||||
\(317\) | 624464. | − | 1.92190e6i | 0.349027 | − | 1.07420i | −0.610365 | − | 0.792120i | \(-0.708977\pi\) |
0.959392 | − | 0.282075i | \(-0.0910227\pi\) | |||||||
\(318\) | 2.97942e6 | 1.65221 | ||||||||
\(319\) | 29406.1 | − | 141658.i | 0.0161793 | − | 0.0779410i | ||||
\(320\) | 1.24533e6 | 0.679846 | ||||||||
\(321\) | 460183. | − | 1.41630e6i | 0.249269 | − | 0.767171i | ||||
\(322\) | −1.14406e6 | + | 831210.i | −0.614908 | + | 0.446757i | ||||
\(323\) | 902541. | + | 655734.i | 0.481349 | + | 0.349721i | ||||
\(324\) | 81037.7 | + | 249408.i | 0.0428869 | + | 0.131992i | ||||
\(325\) | −9962.23 | − | 30660.6i | −0.00523177 | − | 0.0161017i | ||||
\(326\) | −2.70032e6 | − | 1.96190e6i | −1.40725 | − | 1.02243i | ||||
\(327\) | −252323. | + | 183323.i | −0.130493 | + | 0.0948087i | ||||
\(328\) | 53307.3 | − | 164063.i | 0.0273591 | − | 0.0842027i | ||||
\(329\) | 980728. | 0.499527 | ||||||||
\(330\) | −711816. | − | 406460.i | −0.359818 | − | 0.205463i | ||||
\(331\) | −2.21306e6 | −1.11026 | −0.555129 | − | 0.831765i | \(-0.687331\pi\) | ||||
−0.555129 | + | 0.831765i | \(0.687331\pi\) | |||||||
\(332\) | −1.31631e6 | + | 4.05117e6i | −0.655408 | + | 2.01714i | ||||
\(333\) | 453210. | − | 329276.i | 0.223970 | − | 0.162723i | ||||
\(334\) | −3.07272e6 | − | 2.23246e6i | −1.50715 | − | 1.09501i | ||||
\(335\) | 490869. | + | 1.51074e6i | 0.238975 | + | 0.735491i | ||||
\(336\) | 141767. | + | 436314.i | 0.0685057 | + | 0.210839i | ||||
\(337\) | 556467. | + | 404297.i | 0.266910 | + | 0.193921i | 0.713188 | − | 0.700973i | \(-0.247251\pi\) |
−0.446278 | + | 0.894894i | \(0.647251\pi\) | |||||||
\(338\) | 2.54707e6 | − | 1.85055e6i | 1.21269 | − | 0.881070i | ||||
\(339\) | 116525. | − | 358628.i | 0.0550707 | − | 0.169490i | ||||
\(340\) | −580030. | −0.272115 | ||||||||
\(341\) | −2.31963e6 | + | 254976.i | −1.08027 | + | 0.118744i | ||||
\(342\) | −1.41320e6 | −0.653339 | ||||||||
\(343\) | −633987. | + | 1.95121e6i | −0.290968 | + | 0.895507i | ||||
\(344\) | 437341. | − | 317746.i | 0.199262 | − | 0.144772i | ||||
\(345\) | −449338. | − | 326463.i | −0.203248 | − | 0.147668i | ||||
\(346\) | −73979.6 | − | 227686.i | −0.0332217 | − | 0.102246i | ||||
\(347\) | −454972. | − | 1.40026e6i | −0.202843 | − | 0.624288i | −0.999795 | − | 0.0202445i | \(-0.993556\pi\) |
0.796952 | − | 0.604043i | \(-0.206444\pi\) | |||||||
\(348\) | 104920. | + | 76228.6i | 0.0464418 | + | 0.0337419i | ||||
\(349\) | −2.23243e6 | + | 1.62196e6i | −0.981104 | + | 0.712814i | −0.957955 | − | 0.286918i | \(-0.907369\pi\) |
−0.0231487 | + | 0.999732i | \(0.507369\pi\) | |||||||
\(350\) | −456406. | + | 1.40467e6i | −0.199150 | + | 0.612922i | ||||
\(351\) | −9754.42 | −0.00422604 | ||||||||
\(352\) | −1.34423e6 | − | 2.98091e6i | −0.578252 | − | 1.28231i | ||||
\(353\) | −334116. | −0.142712 | −0.0713561 | − | 0.997451i | \(-0.522733\pi\) | ||||
−0.0713561 | + | 0.997451i | \(0.522733\pi\) | |||||||
\(354\) | 1.17316e6 | − | 3.61060e6i | 0.497562 | − | 1.53134i | ||||
\(355\) | 1.07010e6 | − | 777471.i | 0.450663 | − | 0.327426i | ||||
\(356\) | −998679. | − | 725583.i | −0.417639 | − | 0.303432i | ||||
\(357\) | −109014. | − | 335511.i | −0.0452702 | − | 0.139327i | ||||
\(358\) | −503764. | − | 1.55043e6i | −0.207740 | − | 0.639357i | ||||
\(359\) | 2.97778e6 | + | 2.16348e6i | 1.21943 | + | 0.885967i | 0.996053 | − | 0.0887656i | \(-0.0282922\pi\) |
0.223376 | + | 0.974732i | \(0.428292\pi\) | |||||||
\(360\) | 118530. | − | 86117.4i | 0.0482030 | − | 0.0350215i | ||||
\(361\) | 541822. | − | 1.66756e6i | 0.218821 | − | 0.673461i | ||||
\(362\) | 3.72526e6 | 1.49412 | ||||||||
\(363\) | −137774. | + | 1.44290e6i | −0.0548785 | + | 0.574736i | ||||
\(364\) | 38645.7 | 0.0152879 | ||||||||
\(365\) | −99480.2 | + | 306169.i | −0.0390845 | + | 0.120290i | ||||
\(366\) | 1.01426e6 | − | 736900.i | 0.395772 | − | 0.287545i | ||||
\(367\) | −3.75578e6 | − | 2.72874e6i | −1.45558 | − | 1.05754i | −0.984488 | − | 0.175454i | \(-0.943861\pi\) |
−0.471090 | − | 0.882085i | \(-0.656139\pi\) | |||||||
\(368\) | −502879. | − | 1.54770e6i | −0.193573 | − | 0.595755i | ||||
\(369\) | 63860.8 | + | 196543.i | 0.0244156 | + | 0.0751436i | ||||
\(370\) | −1.26981e6 | − | 922574.i | −0.482210 | − | 0.350346i | ||||
\(371\) | 2.28120e6 | − | 1.65739e6i | 0.860457 | − | 0.625159i | ||||
\(372\) | 646404. | − | 1.98943e6i | 0.242185 | − | 0.745368i | ||||
\(373\) | 3.63606e6 | 1.35319 | 0.676595 | − | 0.736355i | \(-0.263455\pi\) | ||||
0.676595 | + | 0.736355i | \(0.263455\pi\) | |||||||
\(374\) | 759193. | + | 1.68355e6i | 0.280655 | + | 0.622369i | ||||
\(375\) | −1.33247e6 | −0.489306 | ||||||||
\(376\) | 283580. | − | 872771.i | 0.103444 | − | 0.318369i | ||||
\(377\) | −3902.60 | + | 2835.40i | −0.00141417 | + | 0.00102745i | ||||
\(378\) | 361538. | + | 262672.i | 0.130144 | + | 0.0945551i | ||||
\(379\) | 1.39540e6 | + | 4.29460e6i | 0.499000 | + | 1.53576i | 0.810629 | + | 0.585561i | \(0.199126\pi\) |
−0.311628 | + | 0.950204i | \(0.600874\pi\) | |||||||
\(380\) | 679532. | + | 2.09138e6i | 0.241408 | + | 0.742976i | ||||
\(381\) | 1.51167e6 | + | 1.09829e6i | 0.533512 | + | 0.387619i | ||||
\(382\) | 549586. | − | 399298.i | 0.192698 | − | 0.140003i | ||||
\(383\) | −312297. | + | 961152.i | −0.108786 | + | 0.334807i | −0.990600 | − | 0.136789i | \(-0.956322\pi\) |
0.881815 | + | 0.471596i | \(0.156322\pi\) | |||||||
\(384\) | 1.20761e6 | 0.417925 | ||||||||
\(385\) | −771109. | + | 84761.2i | −0.265133 | + | 0.0291437i | ||||
\(386\) | 2.24206e6 | 0.765911 | ||||||||
\(387\) | −200121. | + | 615908.i | −0.0679226 | + | 0.209044i | ||||
\(388\) | −375.487 | + | 272.807i | −0.000126624 | + | 9.19976e-5i | ||||
\(389\) | 648306. | + | 471022.i | 0.217223 | + | 0.157822i | 0.691076 | − | 0.722782i | \(-0.257137\pi\) |
−0.473853 | + | 0.880604i | \(0.657137\pi\) | |||||||
\(390\) | 8445.48 | + | 25992.5i | 0.00281166 | + | 0.00865340i | ||||
\(391\) | 386698. | + | 1.19013e6i | 0.127918 | + | 0.393690i | ||||
\(392\) | 633746. | + | 460443.i | 0.208305 | + | 0.151342i | ||||
\(393\) | −303310. | + | 220367.i | −0.0990615 | + | 0.0719724i | ||||
\(394\) | −747123. | + | 2.29941e6i | −0.242466 | + | 0.746235i | ||||
\(395\) | −2.69968e6 | −0.870601 | ||||||||
\(396\) | −1.12829e6 | − | 644273.i | −0.361561 | − | 0.206458i | ||||
\(397\) | 1.86106e6 | 0.592632 | 0.296316 | − | 0.955090i | \(-0.404242\pi\) | ||||
0.296316 | + | 0.955090i | \(0.404242\pi\) | |||||||
\(398\) | −1.56667e6 | + | 4.82171e6i | −0.495758 | + | 1.52579i | ||||
\(399\) | −1.08202e6 | + | 786134.i | −0.340254 | + | 0.247209i | ||||
\(400\) | −1.37504e6 | − | 999026.i | −0.429700 | − | 0.312196i | ||||
\(401\) | −1.13645e6 | − | 3.49762e6i | −0.352929 | − | 1.08620i | −0.957200 | − | 0.289426i | \(-0.906536\pi\) |
0.604271 | − | 0.796779i | \(-0.293464\pi\) | |||||||
\(402\) | 1.40099e6 | + | 4.31180e6i | 0.432384 | + | 1.33074i | ||||
\(403\) | 62947.1 | + | 45733.7i | 0.0193069 | + | 0.0140273i | ||||
\(404\) | 3.63793e6 | − | 2.64311e6i | 1.10892 | − | 0.805679i | ||||
\(405\) | −54237.8 | + | 166927.i | −0.0164310 | + | 0.0505695i | ||||
\(406\) | 220999. | 0.0665389 | ||||||||
\(407\) | −564121. | + | 2.71755e6i | −0.168805 | + | 0.813189i | ||||
\(408\) | −330101. | −0.0981739 | ||||||||
\(409\) | −1.57052e6 | + | 4.83356e6i | −0.464232 | + | 1.42876i | 0.395714 | + | 0.918374i | \(0.370497\pi\) |
−0.859946 | + | 0.510386i | \(0.829503\pi\) | |||||||
\(410\) | 468436. | − | 340338.i | 0.137623 | − | 0.0999888i | ||||
\(411\) | 2.38838e6 | + | 1.73526e6i | 0.697427 | + | 0.506710i | ||||
\(412\) | 2.00102e6 | + | 6.15850e6i | 0.580775 | + | 1.78744i | ||||
\(413\) | −1.11027e6 | − | 3.41707e6i | −0.320298 | − | 0.985777i | ||||
\(414\) | −1.28246e6 | − | 931758.i | −0.367740 | − | 0.267179i | ||||
\(415\) | −2.30647e6 | + | 1.67575e6i | −0.657395 | + | 0.477626i | ||||
\(416\) | −33691.4 | + | 103692.i | −0.00954523 | + | 0.0293772i | ||||
\(417\) | −1.05935e6 | −0.298331 | ||||||||
\(418\) | 5.18088e6 | − | 4.70975e6i | 1.45032 | − | 1.31843i | ||||
\(419\) | −115670. | −0.0321873 | −0.0160937 | − | 0.999870i | \(-0.505123\pi\) | ||||
−0.0160937 | + | 0.999870i | \(0.505123\pi\) | |||||||
\(420\) | 214883. | − | 661341.i | 0.0594400 | − | 0.182937i | ||||
\(421\) | 1.09651e6 | − | 796661.i | 0.301514 | − | 0.219063i | −0.426733 | − | 0.904378i | \(-0.640336\pi\) |
0.728247 | + | 0.685315i | \(0.240336\pi\) | |||||||
\(422\) | −4.20525e6 | − | 3.05529e6i | −1.14950 | − | 0.835164i | ||||
\(423\) | 339722. | + | 1.04556e6i | 0.0923150 | + | 0.284116i | ||||
\(424\) | −815331. | − | 2.50933e6i | −0.220252 | − | 0.677866i | ||||
\(425\) | 1.05736e6 | + | 768219.i | 0.283956 | + | 0.206306i | ||||
\(426\) | 3.05416e6 | − | 2.21898e6i | 0.815395 | − | 0.592419i | ||||
\(427\) | 366646. | − | 1.12842e6i | 0.0973143 | − | 0.299503i | ||||
\(428\) | −6.61364e6 | −1.74514 | ||||||||
\(429\) | 35760.3 | − | 32508.3i | 0.00938118 | − | 0.00852809i | ||||
\(430\) | 1.81447e6 | 0.473237 | ||||||||
\(431\) | 469344. | − | 1.44449e6i | 0.121702 | − | 0.374560i | −0.871584 | − | 0.490247i | \(-0.836907\pi\) |
0.993286 | + | 0.115686i | \(0.0369067\pi\) | |||||||
\(432\) | −416047. | + | 302276.i | −0.107259 | + | 0.0779282i | ||||
\(433\) | 163420. | + | 118732.i | 0.0418877 | + | 0.0304332i | 0.608532 | − | 0.793529i | \(-0.291759\pi\) |
−0.566644 | + | 0.823962i | \(0.691759\pi\) | |||||||
\(434\) | −1.10153e6 | − | 3.39015e6i | −0.280718 | − | 0.863962i | ||||
\(435\) | 26822.3 | + | 82550.6i | 0.00679631 | + | 0.0209169i | ||||
\(436\) | 1.12060e6 | + | 814160.i | 0.282314 | + | 0.205113i | ||||
\(437\) | 3.83817e6 | − | 2.78859e6i | 0.961437 | − | 0.698525i | ||||
\(438\) | −283926. | + | 873835.i | −0.0707164 | + | 0.217643i | ||||
\(439\) | −5.91202e6 | −1.46411 | −0.732057 | − | 0.681244i | \(-0.761439\pi\) | ||||
−0.732057 | + | 0.681244i | \(0.761439\pi\) | |||||||
\(440\) | −147538. | + | 710735.i | −0.0363305 | + | 0.175015i | ||||
\(441\) | −938436. | −0.229778 | ||||||||
\(442\) | 19028.2 | − | 58562.9i | 0.00463279 | − | 0.0142583i | ||||
\(443\) | 2.09532e6 | − | 1.52234e6i | 0.507272 | − | 0.368555i | −0.304516 | − | 0.952507i | \(-0.598495\pi\) |
0.811788 | + | 0.583953i | \(0.198495\pi\) | |||||||
\(444\) | −2.01276e6 | − | 1.46236e6i | −0.484545 | − | 0.352043i | ||||
\(445\) | −255309. | − | 785759.i | −0.0611175 | − | 0.188100i | ||||
\(446\) | −142536. | − | 438682.i | −0.0339304 | − | 0.104427i | ||||
\(447\) | 722538. | + | 524955.i | 0.171038 | + | 0.124266i | ||||
\(448\) | 2.72136e6 | − | 1.97718e6i | 0.640606 | − | 0.465427i | ||||
\(449\) | 100622. | − | 309683.i | 0.0235547 | − | 0.0724939i | −0.938588 | − | 0.345039i | \(-0.887866\pi\) |
0.962143 | + | 0.272546i | \(0.0878655\pi\) | |||||||
\(450\) | −1.65562e6 | −0.385416 | ||||||||
\(451\) | −889132. | − | 507711.i | −0.205838 | − | 0.117537i | ||||
\(452\) | −1.67467e6 | −0.385553 | ||||||||
\(453\) | 1.09293e6 | − | 3.36368e6i | 0.250234 | − | 0.770140i | ||||
\(454\) | −3.17237e6 | + | 2.30486e6i | −0.722345 | + | 0.524814i | ||||
\(455\) | 20925.4 | + | 15203.2i | 0.00473855 | + | 0.00344275i | ||||
\(456\) | 386728. | + | 1.19023e6i | 0.0870951 | + | 0.268051i | ||||
\(457\) | −2.26999e6 | − | 6.98632e6i | −0.508433 | − | 1.56480i | −0.794921 | − | 0.606713i | \(-0.792488\pi\) |
0.286487 | − | 0.958084i | \(-0.407512\pi\) | |||||||
\(458\) | −2.65975e6 | − | 1.93242e6i | −0.592485 | − | 0.430465i | ||||
\(459\) | 319927. | − | 232441.i | 0.0708793 | − | 0.0514968i | ||||
\(460\) | −762238. | + | 2.34593e6i | −0.167956 | + | 0.516916i | ||||
\(461\) | −7.99335e6 | −1.75177 | −0.875884 | − | 0.482521i | \(-0.839721\pi\) | ||||
−0.875884 | + | 0.482521i | \(0.839721\pi\) | |||||||
\(462\) | −2.20082e6 | + | 241917.i | −0.479711 | + | 0.0527304i | ||||
\(463\) | 2.89182e6 | 0.626929 | 0.313465 | − | 0.949600i | \(-0.398510\pi\) | ||||
0.313465 | + | 0.949600i | \(0.398510\pi\) | |||||||
\(464\) | −78589.1 | + | 241872.i | −0.0169460 | + | 0.0521544i | ||||
\(465\) | 1.13265e6 | − | 822915.i | 0.242919 | − | 0.176491i | ||||
\(466\) | 4.39275e6 | + | 3.19152e6i | 0.937070 | + | 0.680821i | ||||
\(467\) | −1.00578e6 | − | 3.09547e6i | −0.213408 | − | 0.656801i | −0.999263 | − | 0.0383908i | \(-0.987777\pi\) |
0.785855 | − | 0.618411i | \(-0.212223\pi\) | |||||||
\(468\) | 13386.8 | + | 41200.3i | 0.00282528 | + | 0.00869532i | ||||
\(469\) | 3.47123e6 | + | 2.52200e6i | 0.728704 | + | 0.529435i | ||||
\(470\) | 2.49195e6 | − | 1.81051e6i | 0.520349 | − | 0.378055i | ||||
\(471\) | −1.09199e6 | + | 3.36079e6i | −0.226812 | + | 0.698055i | ||||
\(472\) | −3.36196e6 | −0.694605 | ||||||||
\(473\) | −1.31897e6 | − | 2.92489e6i | −0.271070 | − | 0.601114i | ||||
\(474\) | −7.70514e6 | −1.57520 | ||||||||
\(475\) | 1.53118e6 | − | 4.71248e6i | 0.311381 | − | 0.958332i | ||||
\(476\) | −1.26751e6 | + | 920899.i | −0.256409 | + | 0.186292i | ||||
\(477\) | 2.55715e6 | + | 1.85788e6i | 0.514589 | + | 0.373871i | ||||
\(478\) | 498165. | + | 1.53320e6i | 0.0997249 | + | 0.306922i | ||||
\(479\) | 2.54580e6 | + | 7.83516e6i | 0.506973 | + | 1.56030i | 0.797427 | + | 0.603415i | \(0.206194\pi\) |
−0.290454 | + | 0.956889i | \(0.593806\pi\) | |||||||
\(480\) | 1.58713e6 | + | 1.15312e6i | 0.314420 | + | 0.228439i | ||||
\(481\) | 74866.7 | − | 54393.8i | 0.0147545 | − | 0.0107198i | ||||
\(482\) | −3.56097e6 | + | 1.09596e7i | −0.698154 | + | 2.14870i | ||||
\(483\) | −1.50023e6 | −0.292611 | ||||||||
\(484\) | 6.28352e6 | − | 1.39828e6i | 1.21924 | − | 0.271319i | ||||
\(485\) | −310.636 | −5.99650e−5 | ||||||||
\(486\) | −154800. | + | 476425.i | −0.0297290 | + | 0.0914964i | ||||
\(487\) | 3.47149e6 | − | 2.52218e6i | 0.663275 | − | 0.481897i | −0.204493 | − | 0.978868i | \(-0.565554\pi\) |
0.867767 | + | 0.496971i | \(0.165554\pi\) | |||||||
\(488\) | −898188. | − | 652572.i | −0.170733 | − | 0.124045i | ||||
\(489\) | −1.09422e6 | − | 3.36768e6i | −0.206935 | − | 0.636881i | ||||
\(490\) | 812507. | + | 2.50064e6i | 0.152875 | + | 0.470502i | ||||
\(491\) | 6.77338e6 | + | 4.92115e6i | 1.26795 | + | 0.921219i | 0.999119 | − | 0.0419692i | \(-0.0133631\pi\) |
0.268830 | + | 0.963188i | \(0.413363\pi\) | |||||||
\(492\) | 742509. | − | 539464.i | 0.138289 | − | 0.100473i | ||||
\(493\) | 60432.5 | − | 185992.i | 0.0111983 | − | 0.0344649i | ||||
\(494\) | −233450. | −0.0430403 | ||||||||
\(495\) | −357474. | − | 792720.i | −0.0655740 | − | 0.145414i | ||||
\(496\) | 4.10206e6 | 0.748682 | ||||||||
\(497\) | 1.10406e6 | − | 3.39793e6i | 0.200493 | − | 0.617055i | ||||
\(498\) | −6.58288e6 | + | 4.78274e6i | −1.18944 | + | 0.864179i | ||||
\(499\) | −5.11453e6 | − | 3.71592e6i | −0.919505 | − | 0.668060i | 0.0238957 | − | 0.999714i | \(-0.492393\pi\) |
−0.943401 | + | 0.331655i | \(0.892393\pi\) | |||||||
\(500\) | 1.82866e6 | + | 5.62805e6i | 0.327121 | + | 1.00678i | ||||
\(501\) | −1.24513e6 | − | 3.83211e6i | −0.221626 | − | 0.682094i | ||||
\(502\) | 5.19688e6 | + | 3.77576e6i | 0.920415 | + | 0.668721i | ||||
\(503\) | −8.39571e6 | + | 6.09984e6i | −1.47958 | + | 1.07498i | −0.501883 | + | 0.864935i | \(0.667359\pi\) |
−0.977693 | + | 0.210040i | \(0.932641\pi\) | |||||||
\(504\) | 122292. | − | 376376.i | 0.0214448 | − | 0.0660002i | ||||
\(505\) | 3.00962e6 | 0.525150 | ||||||||
\(506\) | 7.80680e6 | − | 858133.i | 1.35549 | − | 0.148997i | ||||
\(507\) | 3.34003e6 | 0.577072 | ||||||||
\(508\) | 2.56433e6 | − | 7.89219e6i | 0.440874 | − | 1.35687i | ||||
\(509\) | 5.91019e6 | − | 4.29400e6i | 1.01113 | − | 0.734629i | 0.0466838 | − | 0.998910i | \(-0.485135\pi\) |
0.964446 | + | 0.264281i | \(0.0851347\pi\) | |||||||
\(510\) | −896379. | − | 651257.i | −0.152604 | − | 0.110873i | ||||
\(511\) | 268707. | + | 826996.i | 0.0455226 | + | 0.140104i | ||||
\(512\) | 2.24791e6 | + | 6.91834e6i | 0.378969 | + | 1.16635i | ||||
\(513\) | −1.21291e6 | − | 881230.i | −0.203486 | − | 0.147841i | ||||
\(514\) | −1.02280e6 | + | 743107.i | −0.170759 | + | 0.124063i | ||||
\(515\) | −1.33926e6 | + | 4.12183e6i | −0.222509 | + | 0.684813i | ||||
\(516\) | 2.87608e6 | 0.475529 | ||||||||
\(517\) | −4.72994e6 | − | 2.70088e6i | −0.778268 | − | 0.444406i | ||||
\(518\) | −4.23960e6 | −0.694226 | ||||||||
\(519\) | 78483.5 | − | 241547.i | 0.0127897 | − | 0.0393626i | ||||
\(520\) | 19580.3 | − | 14225.9i | 0.00317549 | − | 0.00230713i | ||||
\(521\) | 5.61791e6 | + | 4.08165e6i | 0.906735 | + | 0.658782i | 0.940187 | − | 0.340658i | \(-0.110650\pi\) |
−0.0334517 | + | 0.999440i | \(0.510650\pi\) | |||||||
\(522\) | 76553.6 | + | 235608.i | 0.0122967 | + | 0.0378454i | ||||
\(523\) | −3.40373e6 | − | 1.04756e7i | −0.544128 | − | 1.67465i | −0.723055 | − | 0.690790i | \(-0.757263\pi\) |
0.178928 | − | 0.983862i | \(-0.442737\pi\) | |||||||
\(524\) | 1.34703e6 | + | 978678.i | 0.214314 | + | 0.155708i | ||||
\(525\) | −1.26763e6 | + | 920988.i | −0.200722 | + | 0.145833i | ||||
\(526\) | −5.31130e6 | + | 1.63465e7i | −0.837021 | + | 2.57609i | ||||
\(527\) | −3.15435e6 | −0.494748 | ||||||||
\(528\) | 517864. | − | 2.49471e6i | 0.0808409 | − | 0.389436i | ||||
\(529\) | −1.11468e6 | −0.173186 | ||||||||
\(530\) | 2.73667e6 | − | 8.42259e6i | 0.423187 | − | 1.30244i | ||||
\(531\) | 3.25835e6 | − | 2.36733e6i | 0.501489 | − | 0.364353i | ||||
\(532\) | 4.80538e6 | + | 3.49132e6i | 0.736121 | + | 0.534823i | ||||
\(533\) | 10549.3 | + | 32467.4i | 0.00160844 | + | 0.00495027i | ||||
\(534\) | −728676. | − | 2.24263e6i | −0.110581 | − | 0.340334i | ||||
\(535\) | −3.58107e6 | − | 2.60180e6i | −0.540914 | − | 0.392997i | ||||
\(536\) | 3.24810e6 | − | 2.35988e6i | 0.488334 | − | 0.354795i | ||||
\(537\) | 534433. | − | 1.64482e6i | 0.0799756 | − | 0.246140i | ||||
\(538\) | 3.57919e6 | 0.533125 | ||||||||
\(539\) | 3.44036e6 | − | 3.12750e6i | 0.510072 | − | 0.463688i | ||||
\(540\) | 779493. | 0.115034 | ||||||||
\(541\) | −1.33606e6 | + | 4.11197e6i | −0.196261 | + | 0.604028i | 0.803699 | + | 0.595036i | \(0.202862\pi\) |
−0.999960 | + | 0.00899175i | \(0.997138\pi\) | |||||||
\(542\) | −2.39992e6 | + | 1.74364e6i | −0.350912 | + | 0.254953i | ||||
\(543\) | 3.19728e6 | + | 2.32296e6i | 0.465352 | + | 0.338098i | ||||
\(544\) | −1.36588e6 | − | 4.20374e6i | −0.197886 | − | 0.609030i | ||||
\(545\) | 286476. | + | 881683.i | 0.0413140 | + | 0.127151i | ||||
\(546\) | 59723.1 | + | 43391.4i | 0.00857355 | + | 0.00622905i | ||||
\(547\) | −539838. | + | 392215.i | −0.0771427 | + | 0.0560475i | −0.625688 | − | 0.780073i | \(-0.715182\pi\) |
0.548545 | + | 0.836121i | \(0.315182\pi\) | |||||||
\(548\) | 4.05154e6 | − | 1.24694e7i | 0.576327 | − | 1.77375i | ||||
\(549\) | 1.33002e6 | 0.188333 | ||||||||
\(550\) | 6.06961e6 | − | 5.51766e6i | 0.855566 | − | 0.777764i | ||||
\(551\) | −741422. | −0.104037 | ||||||||
\(552\) | −433797. | + | 1.33509e6i | −0.0605952 | + | 0.186493i | ||||
\(553\) | −5.89946e6 | + | 4.28621e6i | −0.820351 | + | 0.596020i | ||||
\(554\) | −4.07229e6 | − | 2.95870e6i | −0.563722 | − | 0.409568i | ||||
\(555\) | −514554. | − | 1.58364e6i | −0.0709086 | − | 0.218234i | ||||
\(556\) | 1.45383e6 | + | 4.47443e6i | 0.199447 | + | 0.613833i | ||||
\(557\) | 2.93931e6 | + | 2.13554e6i | 0.401428 | + | 0.291655i | 0.770123 | − | 0.637896i | \(-0.220195\pi\) |
−0.368694 | + | 0.929551i | \(0.620195\pi\) | |||||||
\(558\) | 3.23268e6 | − | 2.34868e6i | 0.439519 | − | 0.319329i | ||||
\(559\) | −33058.3 | + | 101743.i | −0.00447457 | + | 0.0137713i | ||||
\(560\) | 1.36364e6 | 0.183751 | ||||||||
\(561\) | −398221. | + | 1.91836e6i | −0.0534216 | + | 0.257349i | ||||
\(562\) | −1.50158e7 | −2.00543 | ||||||||
\(563\) | 267094. | − | 822030.i | 0.0355135 | − | 0.109299i | −0.931728 | − | 0.363156i | \(-0.881699\pi\) |
0.967242 | + | 0.253857i | \(0.0816992\pi\) | |||||||
\(564\) | 3.94994e6 | − | 2.86980e6i | 0.522869 | − | 0.379887i | ||||
\(565\) | −906781. | − | 658815.i | −0.119504 | − | 0.0868245i | ||||
\(566\) | −1.63798e6 | − | 5.04119e6i | −0.214916 | − | 0.661442i | ||||
\(567\) | 146502. | + | 450888.i | 0.0191376 | + | 0.0588994i | ||||
\(568\) | −2.70465e6 | − | 1.96505e6i | −0.351755 | − | 0.255565i | ||||
\(569\) | −8.81293e6 | + | 6.40297e6i | −1.14114 | + | 0.829088i | −0.987278 | − | 0.159004i | \(-0.949172\pi\) |
−0.153864 | + | 0.988092i | \(0.549172\pi\) | |||||||
\(570\) | −1.29806e6 | + | 3.99501e6i | −0.167343 | + | 0.515027i | ||||
\(571\) | 2.44162e6 | 0.313392 | 0.156696 | − | 0.987647i | \(-0.449916\pi\) | ||||
0.156696 | + | 0.987647i | \(0.449916\pi\) | |||||||
\(572\) | −186384. | − | 106429.i | −0.0238187 | − | 0.0136009i | ||||
\(573\) | 720684. | 0.0916977 | ||||||||
\(574\) | 483301. | − | 1.48745e6i | 0.0612263 | − | 0.188435i | ||||
\(575\) | 4.49657e6 | − | 3.26695e6i | 0.567168 | − | 0.412072i | ||||
\(576\) | 3.05055e6 | + | 2.21636e6i | 0.383109 | + | 0.278345i | ||||
\(577\) | 854927. | + | 2.63119e6i | 0.106903 | + | 0.329013i | 0.990172 | − | 0.139853i | \(-0.0446628\pi\) |
−0.883269 | + | 0.468866i | \(0.844663\pi\) | |||||||
\(578\) | −2.95081e6 | − | 9.08165e6i | −0.367385 | − | 1.13069i | ||||
\(579\) | 1.92429e6 | + | 1.39808e6i | 0.238547 | + | 0.173315i | ||||
\(580\) | 311863. | − | 226582.i | 0.0384941 | − | 0.0279676i | ||||
\(581\) | −2.37966e6 | + | 7.32383e6i | −0.292465 | + | 0.900115i | ||||
\(582\) | −886.586 | −0.000108496 | ||||||||
\(583\) | −1.55664e7 | + | 1.71107e6i | −1.89678 | + | 0.208496i | ||||
\(584\) | 813659. | 0.0987212 | ||||||||
\(585\) | −8959.65 | + | 27575.0i | −0.00108243 | + | 0.00333139i | ||||
\(586\) | −7.65975e6 | + | 5.56513e6i | −0.921447 | + | 0.669470i | ||||
\(587\) | −4.90076e6 | − | 3.56061e6i | −0.587041 | − | 0.426510i | 0.254215 | − | 0.967148i | \(-0.418183\pi\) |
−0.841256 | + | 0.540638i | \(0.818183\pi\) | |||||||
\(588\) | 1.28789e6 | + | 3.96372e6i | 0.153616 | + | 0.472781i | ||||
\(589\) | 3.69547e6 | + | 1.13735e7i | 0.438916 | + | 1.35084i | ||||
\(590\) | −9.12931e6 | − | 6.63283e6i | −1.07971 | − | 0.784457i | ||||
\(591\) | −2.07508e6 | + | 1.50763e6i | −0.244380 | + | 0.177552i | ||||
\(592\) | 1.50764e6 | − | 4.64003e6i | 0.176804 | − | 0.544147i | ||||
\(593\) | −3.17434e6 | −0.370695 | −0.185348 | − | 0.982673i | \(-0.559341\pi\) | ||||
−0.185348 | + | 0.982673i | \(0.559341\pi\) | |||||||
\(594\) | −1.02027e6 | − | 2.26250e6i | −0.118645 | − | 0.263101i | ||||
\(595\) | −1.04860e6 | −0.121427 | ||||||||
\(596\) | 1.22568e6 | − | 3.77226e6i | 0.141339 | − | 0.434997i | ||||
\(597\) | −4.35130e6 | + | 3.16141e6i | −0.499670 | + | 0.363032i | ||||
\(598\) | −211851. | − | 153919.i | −0.0242258 | − | 0.0176011i | ||||
\(599\) | 2.14578e6 | + | 6.60404e6i | 0.244353 | + | 0.752042i | 0.995742 | + | 0.0921826i | \(0.0293844\pi\) |
−0.751389 | + | 0.659860i | \(0.770616\pi\) | |||||||
\(600\) | 453068. | + | 1.39440e6i | 0.0513789 | + | 0.158128i | ||||
\(601\) | 4.16427e6 | + | 3.02552e6i | 0.470276 | + | 0.341676i | 0.797549 | − | 0.603254i | \(-0.206130\pi\) |
−0.327273 | + | 0.944930i | \(0.606130\pi\) | |||||||
\(602\) | 3.96506e6 | − | 2.88079e6i | 0.445922 | − | 0.323981i | ||||
\(603\) | −1.48628e6 | + | 4.57430e6i | −0.166459 | + | 0.512308i | ||||
\(604\) | −1.57073e7 | −1.75190 | ||||||||
\(605\) | 3.95240e6 | + | 1.71481e6i | 0.439008 | + | 0.190470i | ||||
\(606\) | 8.58975e6 | 0.950165 | ||||||||
\(607\) | −2.12651e6 | + | 6.54473e6i | −0.234259 | + | 0.720975i | 0.762960 | + | 0.646446i | \(0.223745\pi\) |
−0.997219 | + | 0.0745293i | \(0.976255\pi\) | |||||||
\(608\) | −1.35570e7 | + | 9.84975e6i | −1.48732 | + | 1.08060i | ||||
\(609\) | 189677. | + | 137808.i | 0.0207239 | + | 0.0150568i | ||||
\(610\) | −1.15154e6 | − | 3.54408e6i | −0.125301 | − | 0.385637i | ||||
\(611\) | 56119.3 | + | 172717.i | 0.00608148 | + | 0.0187169i | ||||
\(612\) | −1.42083e6 | − | 1.03230e6i | −0.153343 | − | 0.111410i | ||||
\(613\) | 8.84104e6 | − | 6.42339e6i | 0.950282 | − | 0.690420i | −0.000591810 | − | 1.00000i | \(-0.500188\pi\) |
0.950873 | + | 0.309580i | \(0.100188\pi\) | |||||||
\(614\) | 5.34793e6 | − | 1.64592e7i | 0.572486 | − | 1.76193i | ||||
\(615\) | 614269. | 0.0654894 | ||||||||
\(616\) | 806010. | + | 1.78737e6i | 0.0855833 | + | 0.189786i | ||||
\(617\) | −2.15996e6 | −0.228420 | −0.114210 | − | 0.993457i | \(-0.536434\pi\) | ||||
−0.114210 | + | 0.993457i | \(0.536434\pi\) | |||||||
\(618\) | −3.82239e6 | + | 1.17641e7i | −0.402591 | + | 1.23905i | ||||
\(619\) | 1.51263e7 | − | 1.09899e7i | 1.58674 | − | 1.15283i | 0.678325 | − | 0.734762i | \(-0.262706\pi\) |
0.908414 | − | 0.418071i | \(-0.137294\pi\) | |||||||
\(620\) | −5.03021e6 | − | 3.65466e6i | −0.525542 | − | 0.381828i | ||||
\(621\) | −519677. | − | 1.59940e6i | −0.0540760 | − | 0.166429i | ||||
\(622\) | 1.85827e6 | + | 5.71917e6i | 0.192590 | + | 0.592731i | ||||
\(623\) | −1.80544e6 | − | 1.31173e6i | −0.186365 | − | 0.135402i | ||||
\(624\) | −68727.7 | + | 49933.6i | −0.00706594 | + | 0.00513371i | ||||
\(625\) | 1.10275e6 | − | 3.39392e6i | 0.112922 | − | 0.347538i | ||||
\(626\) | 2.64417e7 | 2.69683 | ||||||||
\(627\) | 7.38345e6 | − | 811597.i | 0.750050 | − | 0.0824464i | ||||
\(628\) | 1.56938e7 | 1.58792 | ||||||||
\(629\) | −1.15933e6 | + | 3.56804e6i | −0.116837 | + | 0.359586i | ||||
\(630\) | 1.07463e6 | − | 780767.i | 0.107872 | − | 0.0783737i | ||||
\(631\) | 968726. | + | 703821.i | 0.0968562 | + | 0.0703702i | 0.635159 | − | 0.772381i | \(-0.280934\pi\) |
−0.538303 | + | 0.842751i | \(0.680934\pi\) | |||||||
\(632\) | 2.10854e6 | + | 6.48943e6i | 0.209986 | + | 0.646270i | ||||
\(633\) | −1.70405e6 | − | 5.24454e6i | −0.169034 | − | 0.520233i | ||||
\(634\) | −1.38694e7 | − | 1.00767e7i | −1.37036 | − | 0.995627i | ||||
\(635\) | 4.49328e6 | − | 3.26456e6i | 0.442211 | − | 0.321285i | ||||
\(636\) | 4.33784e6 | − | 1.33505e7i | 0.425237 | − | 1.30874i | ||||
\(637\) | −155022. | −0.0151372 | ||||||||
\(638\) | −1.06585e6 | − | 608623.i | −0.103668 | − | 0.0591965i | ||||
\(639\) | 4.00499e6 | 0.388015 | ||||||||
\(640\) | 1.10922e6 | − | 3.41382e6i | 0.107045 | − | 0.329450i | ||||
\(641\) | 3.56772e6 | − | 2.59210e6i | 0.342961 | − | 0.249176i | −0.402949 | − | 0.915222i | \(-0.632015\pi\) |
0.745910 | + | 0.666046i | \(0.232015\pi\) | |||||||
\(642\) | −1.02207e7 | − | 7.42579e6i | −0.978688 | − | 0.711059i | ||||
\(643\) | −4.08432e6 | − | 1.25703e7i | −0.389577 | − | 1.19899i | −0.933105 | − | 0.359603i | \(-0.882912\pi\) |
0.543529 | − | 0.839390i | \(-0.317088\pi\) | |||||||
\(644\) | 2.05889e6 | + | 6.33661e6i | 0.195622 | + | 0.602064i | ||||
\(645\) | 1.55731e6 | + | 1.13145e6i | 0.147392 | + | 0.107087i | ||||
\(646\) | 7.65672e6 | − | 5.56293e6i | 0.721874 | − | 0.524472i | ||||
\(647\) | 518851. | − | 1.59686e6i | 0.0487284 | − | 0.149970i | −0.923732 | − | 0.383040i | \(-0.874877\pi\) |
0.972460 | + | 0.233070i | \(0.0748771\pi\) | |||||||
\(648\) | 443617. | 0.0415021 | ||||||||
\(649\) | −4.05574e6 | + | 1.95378e7i | −0.377971 | + | 1.82081i | ||||
\(650\) | −273496. | −0.0253902 | ||||||||
\(651\) | 1.16859e6 | − | 3.59654e6i | 0.108071 | − | 0.332608i | ||||
\(652\) | −1.27225e7 | + | 9.24347e6i | −1.17207 | + | 0.851561i | ||||
\(653\) | 1.04355e6 | + | 758184.i | 0.0957703 | + | 0.0695812i | 0.634640 | − | 0.772808i | \(-0.281148\pi\) |
−0.538870 | + | 0.842389i | \(0.681148\pi\) | |||||||
\(654\) | 817631. | + | 2.51641e6i | 0.0747503 | + | 0.230058i | ||||
\(655\) | 344364. | + | 1.05984e6i | 0.0313628 | + | 0.0965248i | ||||
\(656\) | 1.45607e6 | + | 1.05790e6i | 0.132106 | + | 0.0959806i | ||||
\(657\) | −788583. | + | 572939.i | −0.0712745 | + | 0.0517839i | ||||
\(658\) | 2.57103e6 | − | 7.91281e6i | 0.231495 | − | 0.712469i | ||||
\(659\) | 6.49514e6 | 0.582606 | 0.291303 | − | 0.956631i | \(-0.405911\pi\) | ||||
0.291303 | + | 0.956631i | \(0.405911\pi\) | |||||||
\(660\) | −2.85766e6 | + | 2.59780e6i | −0.255359 | + | 0.232138i | ||||
\(661\) | −2.12605e6 | −0.189265 | −0.0946325 | − | 0.995512i | \(-0.530168\pi\) | ||||
−0.0946325 | + | 0.995512i | \(0.530168\pi\) | |||||||
\(662\) | −5.80165e6 | + | 1.78557e7i | −0.514526 | + | 1.58355i | ||||
\(663\) | 52849.4 | − | 38397.3i | 0.00466935 | − | 0.00339248i | ||||
\(664\) | 5.82955e6 | + | 4.23542e6i | 0.513115 | + | 0.372800i | ||||
\(665\) | 1.22848e6 | + | 3.78087e6i | 0.107724 | + | 0.331541i | ||||
\(666\) | −1.46859e6 | − | 4.51985e6i | −0.128296 | − | 0.394856i | ||||
\(667\) | −672827. | − | 488837.i | −0.0585583 | − | 0.0425451i | ||||
\(668\) | −1.44771e7 | + | 1.05182e7i | −1.25528 | + | 0.912015i | ||||
\(669\) | 151214. | − | 465389.i | 0.0130625 | − | 0.0402023i | ||||
\(670\) | 1.34759e7 | 1.15977 | ||||||||
\(671\) | −4.87591e6 | + | 4.43251e6i | −0.418070 | + | 0.380053i | ||||
\(672\) | 5.29905e6 | 0.452663 | ||||||||
\(673\) | −5.49533e6 | + | 1.69129e7i | −0.467688 | + | 1.43940i | 0.387883 | + | 0.921709i | \(0.373207\pi\) |
−0.855570 | + | 0.517686i | \(0.826793\pi\) | |||||||
\(674\) | 4.72080e6 | − | 3.42986e6i | 0.400282 | − | 0.290822i | ||||
\(675\) | −1.42097e6 | − | 1.03240e6i | −0.120040 | − | 0.0872142i | ||||
\(676\) | −4.58379e6 | − | 1.41074e7i | −0.385796 | − | 1.18736i | ||||
\(677\) | −2.96741e6 | − | 9.13275e6i | −0.248832 | − | 0.765826i | −0.994983 | − | 0.100049i | \(-0.968100\pi\) |
0.746151 | − | 0.665777i | \(-0.231900\pi\) | |||||||
\(678\) | −2.58804e6 | − | 1.88032e6i | −0.216221 | − | 0.157093i | ||||
\(679\) | −678.817 | + | 493.189i | −5.65038e−5 | + | 4.10524e-5i | ||||
\(680\) | −303205. | + | 933168.i | −0.0251457 | + | 0.0773905i | ||||
\(681\) | −4.16000e6 | −0.343736 | ||||||||
\(682\) | −4.02379e6 | + | 1.93839e7i | −0.331264 | + | 1.59580i | ||||
\(683\) | 1.76440e7 | 1.44726 | 0.723630 | − | 0.690188i | \(-0.242472\pi\) | ||||
0.723630 | + | 0.690188i | \(0.242472\pi\) | |||||||
\(684\) | −2.05753e6 | + | 6.33241e6i | −0.168153 | + | 0.517522i | ||||
\(685\) | 7.09922e6 | − | 5.15788e6i | 0.578075 | − | 0.419996i | ||||
\(686\) | 1.40809e7 | + | 1.02304e7i | 1.14241 | + | 0.830008i | ||||
\(687\) | −1.07779e6 | − | 3.31708e6i | −0.0871245 | − | 0.268142i | ||||
\(688\) | 1.74287e6 | + | 5.36399e6i | 0.140376 | + | 0.432033i | ||||
\(689\) | 422421. | + | 306907.i | 0.0338998 | + | 0.0246297i | ||||
\(690\) | −3.81197e6 | + | 2.76956e6i | −0.304808 | + | 0.221456i | ||||
\(691\) | 7.02007e6 | − | 2.16055e7i | 0.559302 | − | 1.72135i | −0.125002 | − | 0.992157i | \(-0.539894\pi\) |
0.684304 | − | 0.729197i | \(-0.260106\pi\) | |||||||
\(692\) | −1.12795e6 | −0.0895413 | ||||||||
\(693\) | −2.03975e6 | − | 1.16474e6i | −0.161341 | − | 0.0921286i | ||||
\(694\) | −1.24904e7 | −0.984417 | ||||||||
\(695\) | −973034. | + | 2.99469e6i | −0.0764128 | + | 0.235174i | ||||
\(696\) | 177484. | − | 128950.i | 0.0138879 | − | 0.0100902i | ||||
\(697\) | −1.11967e6 | − | 813489.i | −0.0872988 | − | 0.0634263i | ||||
\(698\) | 7.23401e6 | + | 2.22640e7i | 0.562006 | + | 1.72968i | ||||
\(699\) | 1.78003e6 | + | 5.47838e6i | 0.137796 | + | 0.424091i | ||||
\(700\) | 5.62970e6 | + | 4.09022e6i | 0.434250 | + | 0.315501i | ||||
\(701\) | 5.69846e6 | − | 4.14017e6i | 0.437988 | − | 0.318217i | −0.346847 | − | 0.937922i | \(-0.612748\pi\) |
0.784835 | + | 0.619705i | \(0.212748\pi\) | |||||||
\(702\) | −25571.7 | + | 78701.6i | −0.00195847 | + | 0.00602755i | ||||
\(703\) | 1.42233e7 | 1.08545 | ||||||||
\(704\) | −1.85699e7 | + | 2.04122e6i | −1.41214 | + | 0.155224i | ||||
\(705\) | 3.26774e6 | 0.247614 | ||||||||
\(706\) | −875903. | + | 2.69575e6i | −0.0661369 | + | 0.203549i | ||||
\(707\) | 6.57676e6 | − | 4.77830e6i | 0.494839 | − | 0.359521i | ||||
\(708\) | −1.44707e7 | − | 1.05136e7i | −1.08494 | − | 0.788257i | ||||
\(709\) | 1.83292e6 | + | 5.64115e6i | 0.136939 | + | 0.421456i | 0.995887 | − | 0.0906081i | \(-0.0288811\pi\) |
−0.858947 | + | 0.512064i | \(0.828881\pi\) | |||||||
\(710\) | −3.46756e6 | − | 1.06721e7i | −0.258154 | − | 0.794515i | ||||
\(711\) | −6.61310e6 | − | 4.80470e6i | −0.490604 | − | 0.356445i | ||||
\(712\) | −1.68939e6 | + | 1.22741e6i | −0.124890 | + | 0.0907382i | ||||
\(713\) | −4.14524e6 | + | 1.27577e7i | −0.305370 | + | 0.939832i | ||||
\(714\) | −2.99279e6 | −0.219701 | ||||||||
\(715\) | −59051.9 | − | 130951.i | −0.00431985 | − | 0.00957952i | ||||
\(716\) | −7.68075e6 | −0.559913 | ||||||||
\(717\) | −528494. | + | 1.62654e6i | −0.0383921 | + | 0.118159i | ||||
\(718\) | 2.52620e7 | − | 1.83539e7i | 1.82876 | − | 1.32867i | ||||
\(719\) | −9.43232e6 | − | 6.85298e6i | −0.680450 | − | 0.494376i | 0.193057 | − | 0.981188i | \(-0.438160\pi\) |
−0.873507 | + | 0.486812i | \(0.838160\pi\) | |||||||
\(720\) | 472362. | + | 1.45378e6i | 0.0339581 | + | 0.104512i | ||||
\(721\) | 3.61750e6 | + | 1.11335e7i | 0.259162 | + | 0.797617i | ||||
\(722\) | −1.20339e7 | − | 8.74317e6i | −0.859142 | − | 0.624203i | ||||
\(723\) | −9.89033e6 | + | 7.18574e6i | −0.703663 | + | 0.511241i | ||||
\(724\) | 5.42373e6 | − | 1.66925e7i | 0.384549 | − | 1.18352i | ||||
\(725\) | −868605. | −0.0613730 | ||||||||
\(726\) | 1.12805e7 | + | 4.89423e6i | 0.794307 | + | 0.344622i | ||||
\(727\) | −1.37588e7 | −0.965480 | −0.482740 | − | 0.875764i | \(-0.660358\pi\) | ||||
−0.482740 | + | 0.875764i | \(0.660358\pi\) | |||||||
\(728\) | 20201.6 | − | 62174.2i | 0.00141273 | − | 0.00434793i | ||||
\(729\) | −429945. | + | 312373.i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | 2.20947e6 | + | 1.60527e6i | 0.153455 | + | 0.111492i | ||||
\(731\) | −1.34021e6 | − | 4.12474e6i | −0.0927639 | − | 0.285498i | ||||
\(732\) | −1.82529e6 | − | 5.61766e6i | −0.125908 | − | 0.387505i | ||||
\(733\) | 1.25336e6 | + | 910618.i | 0.0861619 | + | 0.0626003i | 0.630032 | − | 0.776569i | \(-0.283042\pi\) |
−0.543870 | + | 0.839169i | \(0.683042\pi\) | |||||||
\(734\) | −3.18622e7 | + | 2.31493e7i | −2.18291 | + | 1.58598i | ||||
\(735\) | −861974. | + | 2.65288e6i | −0.0588539 | + | 0.181134i | ||||
\(736\) | −1.87969e7 | −1.27906 | ||||||||
\(737\) | −9.79589e6 | − | 2.17229e7i | −0.664317 | − | 1.47316i | ||||
\(738\) | 1.75318e6 | 0.118491 | ||||||||
\(739\) | 5.26499e6 | − | 1.62040e7i | 0.354639 | − | 1.09147i | −0.601579 | − | 0.798813i | \(-0.705462\pi\) |
0.956218 | − | 0.292654i | \(-0.0945384\pi\) | |||||||
\(740\) | −5.98272e6 | + | 4.34670e6i | −0.401624 | + | 0.291797i | ||||
\(741\) | −200363. | − | 145572.i | −0.0134051 | − | 0.00973941i | ||||
\(742\) | −7.39205e6 | − | 2.27504e7i | −0.492896 | − | 1.51698i | ||||
\(743\) | −8.35695e6 | − | 2.57200e7i | −0.555361 | − | 1.70923i | −0.694987 | − | 0.719022i | \(-0.744590\pi\) |
0.139626 | − | 0.990204i | \(-0.455410\pi\) | |||||||
\(744\) | −2.86274e6 | − | 2.07990e6i | −0.189605 | − | 0.137756i | ||||
\(745\) | 2.14767e6 | − | 1.56037e6i | 0.141768 | − | 0.103000i | ||||
\(746\) | 9.53212e6 | − | 2.93368e7i | 0.627108 | − | 1.93004i | ||||
\(747\) | −8.63227e6 | −0.566009 | ||||||||
\(748\) | 8.64917e6 | − | 950727.i | 0.565224 | − | 0.0621301i | ||||
\(749\) | −1.19563e7 | −0.778742 | ||||||||
\(750\) | −3.49315e6 | + | 1.07508e7i | −0.226759 | + | 0.697892i | ||||
\(751\) | −1.03554e7 | + | 7.52367e6i | −0.669991 | + | 0.486777i | −0.870022 | − | 0.493013i | \(-0.835896\pi\) |
0.200031 | + | 0.979789i | \(0.435896\pi\) | |||||||
\(752\) | 7.74589e6 | + | 5.62772e6i | 0.499490 | + | 0.362901i | ||||
\(753\) | 2.10588e6 | + | 6.48124e6i | 0.135346 | + | 0.416554i | ||||
\(754\) | 12646.0 | + | 38920.5i | 0.000810076 | + | 0.00249316i | ||||
\(755\) | −8.50499e6 | − | 6.17923e6i | −0.543008 | − | 0.394518i | ||||
\(756\) | 1.70338e6 | − | 1.23758e6i | 0.108395 | − | 0.0787533i | ||||
\(757\) | 733288. | − | 2.25683e6i | 0.0465088 | − | 0.143139i | −0.925105 | − | 0.379710i | \(-0.876024\pi\) |
0.971614 | + | 0.236571i | \(0.0760236\pi\) | |||||||
\(758\) | 3.83083e7 | 2.42169 | ||||||||
\(759\) | 7.23545e6 | + | 4.13158e6i | 0.455891 | + | 0.260322i | ||||
\(760\) | 3.71989e6 | 0.233613 | ||||||||
\(761\) | 5.67225e6 | − | 1.74574e7i | 0.355054 | − | 1.09274i | −0.600925 | − | 0.799306i | \(-0.705201\pi\) |
0.955978 | − | 0.293437i | \(-0.0947992\pi\) | |||||||
\(762\) | 1.28243e7 | − | 9.31738e6i | 0.800102 | − | 0.581308i | ||||
\(763\) | 2.02585e6 | + | 1.47186e6i | 0.125978 | + | 0.0915285i | ||||
\(764\) | −989053. | − | 3.04399e6i | −0.0613036 | − | 0.188673i | ||||
\(765\) | −363231. | − | 1.11791e6i | −0.0224403 | − | 0.0690643i | ||||
\(766\) | 6.93616e6 | + | 5.03942e6i | 0.427117 | + | 0.310319i | ||||
\(767\) | 538253. | − | 391064.i | 0.0330368 | − | 0.0240026i | ||||
\(768\) | −977147. | + | 3.00735e6i | −0.0597802 | + | 0.183984i | ||||
\(769\) | 2.77801e7 | 1.69402 | 0.847010 | − | 0.531577i | \(-0.178400\pi\) | ||||
0.847010 | + | 0.531577i | \(0.178400\pi\) | |||||||
\(770\) | −1.33762e6 | + | 6.44375e6i | −0.0813030 | + | 0.391662i | ||||
\(771\) | −1.34122e6 | −0.0812575 | ||||||||
\(772\) | 3.26428e6 | − | 1.00464e7i | 0.197126 | − | 0.606693i | ||||
\(773\) | −2.46630e7 | + | 1.79187e7i | −1.48456 | + | 1.07859i | −0.508504 | + | 0.861060i | \(0.669801\pi\) |
−0.976053 | + | 0.217534i | \(0.930199\pi\) | |||||||
\(774\) | 4.44470e6 | + | 3.22927e6i | 0.266680 | + | 0.193754i | ||||
\(775\) | 4.32939e6 | + | 1.33245e7i | 0.258924 | + | 0.796887i | ||||
\(776\) | 242.618 | + | 746.701i | 1.44633e−5 | + | 4.45136e-5i | ||||
\(777\) | −3.63873e6 | − | 2.64369e6i | −0.216221 | − | 0.157093i | ||||
\(778\) | 5.49992e6 | − | 3.99592e6i | 0.325767 | − | 0.236684i | ||||
\(779\) | −1.62141e6 | + | 4.99018e6i | −0.0957301 | + | 0.294627i | ||||
\(780\) | 128766. | 0.00757817 | ||||||||
\(781\) | −1.46825e7 | + | 1.33473e7i | −0.861336 | + | 0.783009i | ||||
\(782\) | 1.06161e7 | 0.620796 | ||||||||
\(783\) | −81214.2 | + | 249952.i | −0.00473399 | + | 0.0145697i | ||||
\(784\) | −6.61203e6 | + | 4.80392e6i | −0.384189 | + | 0.279129i | ||||
\(785\) | 8.49768e6 | + | 6.17392e6i | 0.492182 | + | 0.357591i | ||||
\(786\) | 982849. | + | 3.02490e6i | 0.0567454 | + | 0.174644i | ||||
\(787\) | 9.32039e6 | + | 2.86852e7i | 0.536411 | + | 1.65090i | 0.740581 | + | 0.671967i | \(0.234550\pi\) |
−0.204171 | + | 0.978935i | \(0.565450\pi\) | |||||||
\(788\) | 9.21566e6 | + | 6.69557e6i | 0.528702 | + | 0.384124i | ||||
\(789\) | −1.47517e7 | + | 1.07178e7i | −0.843627 | + | 0.612931i | ||||
\(790\) | −7.07734e6 | + | 2.17818e7i | −0.403462 | + | 1.24173i | ||||
\(791\) | −3.02752e6 | −0.172047 | ||||||||
\(792\) | −1.62632e6 | + | 1.47843e6i | −0.0921285 | + | 0.0837507i | ||||
\(793\) | 219708. | 0.0124069 | ||||||||
\(794\) | 4.87887e6 | − | 1.50156e7i | 0.274643 | − | 0.845263i | ||||
\(795\) | 7.60088e6 | − | 5.52236e6i | 0.426526 | − | 0.309890i | ||||
\(796\) | 1.93247e7 | + | 1.40402e7i | 1.08101 | + | 0.785398i | ||||
\(797\) | 106238. | + | 326967.i | 0.00592426 | + | 0.0182330i | 0.953975 | − | 0.299886i | \(-0.0969487\pi\) |
−0.948051 | + | 0.318119i | \(0.896949\pi\) | |||||||
\(798\) | 3.50620e6 | + | 1.07910e7i | 0.194908 | + | 0.599864i | ||||
\(799\) | −5.95634e6 | − | 4.32754e6i | −0.330075 | − | 0.239814i | ||||
\(800\) | −1.58826e7 | + | 1.15394e7i | −0.877398 | + | 0.637467i | ||||
\(801\) | 773038. | − | 2.37917e6i | 0.0425716 | − | 0.131022i | ||||
\(802\) | −3.11991e7 | −1.71280 | ||||||||
\(803\) | 981568. | − | 4.72852e6i | 0.0537195 | − | 0.258783i | ||||
\(804\) | 2.13605e7 | 1.16539 | ||||||||
\(805\) | −1.37800e6 | + | 4.24103e6i | −0.0749477 | + | 0.230665i | ||||
\(806\) | 534013. | − | 387983.i | 0.0289544 | − | 0.0210366i | ||||
\(807\) | 3.07191e6 | + | 2.23187e6i | 0.166045 | + | 0.120638i | ||||
\(808\) | −2.35062e6 | − | 7.23446e6i | −0.126664 | − | 0.389832i | ||||
\(809\) | 202202. | + | 622315.i | 0.0108621 | + | 0.0334302i | 0.956341 | − | 0.292254i | \(-0.0944053\pi\) |
−0.945479 | + | 0.325684i | \(0.894405\pi\) | |||||||
\(810\) | 1.20463e6 | + | 875214.i | 0.0645120 | + | 0.0468707i | ||||
\(811\) | 3.60458e6 | − | 2.61888e6i | 0.192443 | − | 0.139818i | −0.487391 | − | 0.873184i | \(-0.662052\pi\) |
0.679835 | + | 0.733365i | \(0.262052\pi\) | |||||||
\(812\) | 321760. | − | 990275.i | 0.0171254 | − | 0.0527067i | ||||
\(813\) | −3.14706e6 | −0.166986 | ||||||||
\(814\) | 2.04471e7 | + | 1.16757e7i | 1.08161 | + | 0.617621i | ||||
\(815\) | −1.05252e7 | −0.555056 | ||||||||
\(816\) | 1.06426e6 | − | 3.27546e6i | 0.0559530 | − | 0.172206i | ||||
\(817\) | −1.33022e7 | + | 9.66465e6i | −0.697220 | + | 0.506560i | ||||
\(818\) | 3.48815e7 | + | 2.53429e7i | 1.82268 | + | 1.32426i | ||||
\(819\) | 24201.0 | + | 74483.1i | 0.00126074 | + | 0.00388014i | ||||
\(820\) | −843011. | − | 2.59452e6i | −0.0437823 | − | 0.134748i | ||||
\(821\) | 9.32589e6 | + | 6.77565e6i | 0.482872 | + | 0.350827i | 0.802437 | − | 0.596737i | \(-0.203537\pi\) |
−0.319564 | + | 0.947565i | \(0.603537\pi\) | |||||||
\(822\) | 2.02619e7 | − | 1.47211e7i | 1.04592 | − | 0.759908i | ||||
\(823\) | 805605. | − | 2.47940e6i | 0.0414593 | − | 0.127599i | −0.928185 | − | 0.372120i | \(-0.878631\pi\) |
0.969644 | + | 0.244522i | \(0.0786309\pi\) | |||||||
\(824\) | 1.09540e7 | 0.562023 | ||||||||
\(825\) | 8.65001e6 | − | 950819.i | 0.442468 | − | 0.0486366i | ||||
\(826\) | −3.04806e7 | −1.55444 | ||||||||
\(827\) | 1.04299e7 | − | 3.20998e7i | 0.530292 | − | 1.63207i | −0.223316 | − | 0.974746i | \(-0.571688\pi\) |
0.753608 | − | 0.657324i | \(-0.228312\pi\) | |||||||
\(828\) | −6.04228e6 | + | 4.38998e6i | −0.306285 | + | 0.222529i | ||||
\(829\) | −1.09083e6 | − | 792534.i | −0.0551278 | − | 0.0400527i | 0.559880 | − | 0.828574i | \(-0.310847\pi\) |
−0.615008 | + | 0.788521i | \(0.710847\pi\) | |||||||
\(830\) | 7.47391e6 | + | 2.30023e7i | 0.376576 | + | 1.15898i | ||||
\(831\) | −1.65018e6 | − | 5.07872e6i | −0.0828949 | − | 0.255124i | ||||
\(832\) | 503927. | + | 366124.i | 0.0252382 | + | 0.0183367i | ||||
\(833\) | 5.08444e6 | − | 3.69406e6i | 0.253881 | − | 0.184456i | ||||
\(834\) | −2.77714e6 | + | 8.54714e6i | −0.138255 | + | 0.425506i | ||||
\(835\) | −1.19768e7 | −0.594460 | ||||||||
\(836\) | −1.35609e7 | − | 3.00721e7i | −0.671077 | − | 1.48815i | ||||
\(837\) | 4.23908e6 | 0.209150 | ||||||||
\(838\) | −303234. | + | 933259.i | −0.0149165 | + | 0.0459084i | ||||
\(839\) | −1.68279e7 | + | 1.22262e7i | −0.825324 | + | 0.599633i | −0.918232 | − | 0.396042i | \(-0.870384\pi\) |
0.0929087 | + | 0.995675i | \(0.470384\pi\) | |||||||
\(840\) | −951656. | − | 691419.i | −0.0465352 | − | 0.0338098i | ||||
\(841\) | −6.29813e6 | − | 1.93837e7i | −0.307059 | − | 0.945030i | ||||
\(842\) | −3.55315e6 | − | 1.09355e7i | −0.172716 | − | 0.531566i | ||||
\(843\) | −1.28876e7 | − | 9.36340e6i | −0.624602 | − | 0.453800i | ||||
\(844\) | −1.98130e7 | + | 1.43950e7i | −0.957403 | + | 0.695594i | ||||
\(845\) | 3.06789e6 | − | 9.44198e6i | 0.147808 | − | 0.454906i | ||||
\(846\) | 9.32646e6 | 0.448013 | ||||||||
\(847\) | 1.13595e7 | − | 2.52785e6i | 0.544066 | − | 0.121072i | ||||
\(848\) | 2.75278e7 | 1.31456 | ||||||||
\(849\) | 1.73770e6 | − | 5.34810e6i | 0.0827382 | − | 0.254642i | ||||
\(850\) | 8.97016e6 | − | 6.51720e6i | 0.425846 | − | 0.309395i | ||||
\(851\) | 1.29074e7 | + | 9.37776e6i | 0.610962 | + | 0.443890i | ||||
\(852\) | −5.49637e6 | − | 1.69161e7i | −0.259404 | − | 0.798364i | ||||
\(853\) | −1.01572e7 | − | 3.12606e7i | −0.477969 | − | 1.47104i | −0.841911 | − | 0.539617i | \(-0.818569\pi\) |
0.363941 | − | 0.931422i | \(-0.381431\pi\) | |||||||
\(854\) | −8.14325e6 | − | 5.91642e6i | −0.382079 | − | 0.277597i | ||||
\(855\) | −3.60525e6 | + | 2.61937e6i | −0.168663 | + | 0.122541i | ||||
\(856\) | −3.45721e6 | + | 1.06402e7i | −0.161266 | + | 0.496324i | ||||
\(857\) | −1.01225e7 | −0.470801 | −0.235401 | − | 0.971898i | \(-0.575640\pi\) | ||||
−0.235401 | + | 0.971898i | \(0.575640\pi\) | |||||||
\(858\) | −168540. | − | 373747.i | −0.00781600 | − | 0.0173324i | ||||
\(859\) | 2.20709e7 | 1.02056 | 0.510279 | − | 0.860009i | \(-0.329542\pi\) | ||||
0.510279 | + | 0.860009i | \(0.329542\pi\) | |||||||
\(860\) | 2.64175e6 | − | 8.13046e6i | 0.121799 | − | 0.374860i | ||||
\(861\) | 1.34233e6 | − | 975260.i | 0.0617094 | − | 0.0448345i | ||||
\(862\) | −1.04242e7 | − | 7.57361e6i | −0.477831 | − | 0.347164i | ||||
\(863\) | 5.22372e6 | + | 1.60769e7i | 0.238755 | + | 0.734812i | 0.996601 | + | 0.0823790i | \(0.0262518\pi\) |
−0.757846 | + | 0.652433i | \(0.773748\pi\) | |||||||
\(864\) | 1.83558e6 | + | 5.64933e6i | 0.0836544 | + | 0.257462i | ||||
\(865\) | −610746. | − | 443733.i | −0.0277537 | − | 0.0201642i | ||||
\(866\) | 1.38638e6 | − | 1.00726e6i | 0.0628184 | − | 0.0456403i | ||||
\(867\) | 3.13046e6 | − | 9.63455e6i | 0.141436 | − | 0.435295i | ||||
\(868\) | −1.67947e7 | −0.756610 | ||||||||
\(869\) | 4.02565e7 | − | 4.42504e6i | 1.80837 | − | 0.198778i | ||||
\(870\) | 736360. | 0.0329831 | ||||||||
\(871\) | −245522. | + | 755638.i | −0.0109659 | + | 0.0337496i | ||||
\(872\) | 1.89562e6 | − | 1.37725e6i | 0.0844230 | − | 0.0613369i | ||||
\(873\) | −760.931 | − | 552.848i | −3.37917e−5 | − | 2.45511e-5i | ||||
\(874\) | −1.24373e7 | − | 3.82780e7i | −0.550740 | − | 1.69500i | ||||
\(875\) | 3.30591e6 | + | 1.01745e7i | 0.145972 | + | 0.449257i | ||||
\(876\) | 3.50219e6 | + | 2.54449e6i | 0.154198 | + | 0.112032i | ||||
\(877\) | 1.04900e7 | − | 7.62143e6i | 0.460549 | − | 0.334609i | −0.333197 | − | 0.942857i | \(-0.608128\pi\) |
0.793747 | + | 0.608248i | \(0.208128\pi\) | |||||||
\(878\) | −1.54987e7 | + | 4.77000e7i | −0.678513 | + | 2.08825i | ||||
\(879\) | −1.00444e7 | −0.438481 | ||||||||
\(880\) | −6.57668e6 | − | 3.75541e6i | −0.286286 | − | 0.163475i | ||||
\(881\) | −1.39444e7 | −0.605285 | −0.302642 | − | 0.953104i | \(-0.597869\pi\) | ||||
−0.302642 | + | 0.953104i | \(0.597869\pi\) | |||||||
\(882\) | −2.46016e6 | + | 7.57158e6i | −0.106486 | + | 0.327729i | ||||
\(883\) | −9.65393e6 | + | 7.01399e6i | −0.416680 | + | 0.302736i | −0.776301 | − | 0.630363i | \(-0.782906\pi\) |
0.359621 | + | 0.933099i | \(0.382906\pi\) | |||||||
\(884\) | −234710. | − | 170527.i | −0.0101019 | − | 0.00733944i | ||||
\(885\) | −3.69938e6 | − | 1.13855e7i | −0.158771 | − | 0.488647i | ||||
\(886\) | −6.78970e6 | − | 2.08966e7i | −0.290580 | − | 0.894315i | ||||
\(887\) | −3.16601e6 | − | 2.30024e6i | −0.135115 | − | 0.0981666i | 0.518175 | − | 0.855275i | \(-0.326612\pi\) |
−0.653290 | + | 0.757108i | \(0.726612\pi\) | |||||||
\(888\) | −3.40483e6 | + | 2.47375e6i | −0.144898 | + | 0.105275i | ||||
\(889\) | 4.63587e6 | − | 1.42677e7i | 0.196733 | − | 0.605481i | ||||
\(890\) | −7.00905e6 | −0.296609 | ||||||||
\(891\) | 535162. | − | 2.57805e6i | 0.0225835 | − | 0.108792i | ||||
\(892\) | −2.17321e6 | −0.0914514 | ||||||||
\(893\) | −8.62544e6 | + | 2.65464e7i | −0.361954 | + | 1.11398i | ||||
\(894\) | 6.12966e6 | − | 4.45346e6i | 0.256503 | − | 0.186361i | ||||
\(895\) | −4.15887e6 | − | 3.02160e6i | −0.173547 | − | 0.126090i | ||||
\(896\) | −2.99612e6 | − | 9.22110e6i | −0.124678 | − | 0.383719i | ||||
\(897\) | −85846.4 | − | 264208.i | −0.00356239 | − | 0.0109639i | ||||
\(898\) | −2.23483e6 | − | 1.62370e6i | −0.0924813 | − | 0.0671916i | ||||
\(899\) | 1.69599e6 | − | 1.23221e6i | 0.0699882 | − | 0.0508494i | ||||
\(900\) | −2.41047e6 | + | 7.41868e6i | −0.0991965 | + | 0.305295i | ||||
\(901\) | −2.11680e7 | −0.868696 | ||||||||
\(902\) | −6.42727e6 | + | 5.84280e6i | −0.263033 | + | 0.239114i | ||||
\(903\) | 5.19947e6 | 0.212197 | ||||||||
\(904\) | −875418. | + | 2.69426e6i | −0.0356282 | + | 0.109652i | ||||
\(905\) | 9.50359e6 | − | 6.90476e6i | 0.385715 | − | 0.280238i | ||||
\(906\) | −2.42741e7 | − | 1.76361e7i | −0.982476 | − | 0.713811i | ||||
\(907\) | 3.79702e6 | + | 1.16860e7i | 0.153258 | + | 0.471681i | 0.997980 | − | 0.0635246i | \(-0.0202341\pi\) |
−0.844722 | + | 0.535206i | \(0.820234\pi\) | |||||||
\(908\) | 5.70910e6 | + | 1.75708e7i | 0.229802 | + | 0.707257i | ||||
\(909\) | 7.37233e6 | + | 5.35631e6i | 0.295934 | + | 0.215009i | ||||
\(910\) | 177521. | − | 128976.i | 0.00710634 | − | 0.00516306i | ||||
\(911\) | −1.16375e7 | + | 3.58167e7i | −0.464585 | + | 1.42985i | 0.394918 | + | 0.918716i | \(0.370773\pi\) |
−0.859503 | + | 0.511130i | \(0.829227\pi\) | |||||||
\(912\) | −1.30570e7 | −0.519824 | ||||||||
\(913\) | 3.16464e7 | − | 2.87686e7i | 1.25646 | − | 1.14220i | ||||
\(914\) | −6.23187e7 | −2.46747 | ||||||||
\(915\) | 1.22165e6 | − | 3.75985e6i | 0.0482385 | − | 0.148463i | ||||
\(916\) | −1.25314e7 | + | 9.10460e6i | −0.493470 | + | 0.358527i | ||||
\(917\) | 2.43521e6 | + | 1.76928e6i | 0.0956341 | + | 0.0694822i | ||||
\(918\) | −1.03670e6 | − | 3.19063e6i | −0.0406018 | − | 0.124959i | ||||
\(919\) | 6.88121e6 | + | 2.11782e7i | 0.268767 | + | 0.827180i | 0.990802 | + | 0.135323i | \(0.0432071\pi\) |
−0.722035 | + | 0.691857i | \(0.756793\pi\) | |||||||
\(920\) | 3.37574e6 | + | 2.45262e6i | 0.131492 | + | 0.0955345i | ||||
\(921\) | 1.48534e7 | − | 1.07917e7i | 0.577003 | − | 0.419217i | ||||
\(922\) | −2.09550e7 | + | 6.44928e7i | −0.811821 | + | 2.49853i | ||||
\(923\) | 661592. | 0.0255615 | ||||||||
\(924\) | −2.12024e6 | + | 1.02139e7i | −0.0816969 | + | 0.393559i | ||||
\(925\) | 1.66632e7 | 0.640329 | ||||||||
\(926\) | 7.58105e6 | − | 2.33321e7i | 0.290537 | − | 0.894182i | ||||
\(927\) | −1.06164e7 | + | 7.71325e6i | −0.405768 | + | 0.294807i | ||||
\(928\) | 2.37653e6 | + | 1.72665e6i | 0.0905885 | + | 0.0658164i | ||||
\(929\) | −3.80015e6 | − | 1.16957e7i | −0.144465 | − | 0.444617i | 0.852477 | − | 0.522765i | \(-0.175099\pi\) |
−0.996942 | + | 0.0781479i | \(0.975099\pi\) | |||||||
\(930\) | −3.67024e6 | − | 1.12958e7i | −0.139151 | − | 0.428264i | ||||
\(931\) | −1.92761e7 | − | 1.40049e7i | −0.728863 | − | 0.529550i | ||||
\(932\) | 2.06964e7 | − | 1.50368e7i | 0.780470 | − | 0.567044i | ||||
\(933\) | −1.97141e6 | + | 6.06736e6i | −0.0741433 | + | 0.228190i | ||||
\(934\) | −2.76119e7 | −1.03569 | ||||||||
\(935\) | 5.05726e6 | + | 2.88779e6i | 0.189185 | + | 0.108028i | ||||
\(936\) | 73281.9 | 0.00273405 | ||||||||
\(937\) | −1.01721e7 | + | 3.13065e7i | −0.378497 | + | 1.16489i | 0.562593 | + | 0.826734i | \(0.309804\pi\) |
−0.941089 | + | 0.338158i | \(0.890196\pi\) | |||||||
\(938\) | 2.94482e7 | − | 2.13954e7i | 1.09283 | − | 0.793987i | ||||
\(939\) | 2.26942e7 | + | 1.64883e7i | 0.839944 | + | 0.610255i | ||||
\(940\) | −4.48459e6 | − | 1.38022e7i | −0.165540 | − | 0.509480i | ||||
\(941\) | 3.74402e6 | + | 1.15229e7i | 0.137836 | + | 0.424217i | 0.996020 | − | 0.0891255i | \(-0.0284072\pi\) |
−0.858184 | + | 0.513342i | \(0.828407\pi\) | |||||||
\(942\) | 2.42532e7 | + | 1.76210e7i | 0.890516 | + | 0.646998i | ||||
\(943\) | −4.76154e6 | + | 3.45946e6i | −0.174369 | + | 0.126686i | ||||
\(944\) | 1.08391e7 | − | 3.33594e7i | 0.395881 | − | 1.21840i | ||||
\(945\) | 1.40919e6 | 0.0513322 | ||||||||
\(946\) | −2.70566e7 | + | 2.97410e6i | −0.982983 | + | 0.108051i | ||||
\(947\) | 1.71819e6 | 0.0622582 | 0.0311291 | − | 0.999515i | \(-0.490090\pi\) | ||||
0.0311291 | + | 0.999515i | \(0.490090\pi\) | |||||||
\(948\) | −1.12182e7 | + | 3.45260e7i | −0.405416 | + | 1.24774i | ||||
\(949\) | −130268. | + | 94644.9i | −0.00469538 | + | 0.00341139i | ||||
\(950\) | −3.40077e7 | − | 2.47080e7i | −1.22255 | − | 0.888237i | ||||
\(951\) | −5.62018e6 | − | 1.72971e7i | −0.201511 | − | 0.620187i | ||||
\(952\) | 818990. | + | 2.52059e6i | 0.0292878 | + | 0.0901385i | ||||
\(953\) | 1.91302e7 | + | 1.38989e7i | 0.682317 | + | 0.495733i | 0.874126 | − | 0.485700i | \(-0.161435\pi\) |
−0.191808 | + | 0.981432i | \(0.561435\pi\) | |||||||
\(954\) | 2.16936e7 | − | 1.57614e7i | 0.771723 | − | 0.560690i | ||||
\(955\) | 661964. | − | 2.03732e6i | 0.0234869 | − | 0.0722853i | ||||
\(956\) | 7.59539e6 | 0.268785 | ||||||||
\(957\) | −535273. | − | 1.18700e6i | −0.0188927 | − | 0.0418958i | ||||
\(958\) | 6.98904e7 | 2.46039 | ||||||||
\(959\) | 7.32450e6 | − | 2.25425e7i | 0.257177 | − | 0.791508i | ||||
\(960\) | 9.06746e6 | − | 6.58789e6i | 0.317547 | − | 0.230711i | ||||
\(961\) | −4.19412e6 | − | 3.04720e6i | −0.146498 | − | 0.106437i | ||||
\(962\) | −242599. | − | 746643.i | −0.00845184 | − | 0.0260121i | ||||
\(963\) | −4.14165e6 | − | 1.27467e7i | −0.143915 | − | 0.442926i | ||||
\(964\) | 4.39241e7 | + | 3.19127e7i | 1.52234 | + | 1.10604i | ||||
\(965\) | 5.71976e6 | − | 4.15565e6i | 0.197724 | − | 0.143655i | ||||
\(966\) | −3.93294e6 | + | 1.21043e7i | −0.135604 | + | 0.417348i | ||||
\(967\) | 4.53772e7 | 1.56053 | 0.780264 | − | 0.625450i | \(-0.215085\pi\) | ||||
0.780264 | + | 0.625450i | \(0.215085\pi\) | |||||||
\(968\) | 1.03506e6 | − | 1.08400e7i | 0.0355039 | − | 0.371828i | ||||
\(969\) | 1.00404e7 | 0.343512 | ||||||||
\(970\) | −814.348 | + | 2506.31i | −2.77895e−5 | + | 8.55273e-5i | ||||
\(971\) | −2.58317e7 | + | 1.87678e7i | −0.879235 | + | 0.638801i | −0.933049 | − | 0.359750i | \(-0.882862\pi\) |
0.0538142 | + | 0.998551i | \(0.482862\pi\) | |||||||
\(972\) | 1.90944e6 | + | 1.38729e6i | 0.0648245 | + | 0.0470978i | ||||
\(973\) | 2.62828e6 | + | 8.08900e6i | 0.0889998 | + | 0.273913i | ||||
\(974\) | −1.12491e7 | − | 3.46211e7i | −0.379944 | − | 1.16935i | ||||
\(975\) | −234733. | − | 170544.i | −0.00790793 | − | 0.00574545i | ||||
\(976\) | 9.37102e6 | − | 6.80845e6i | 0.314893 | − | 0.228783i | ||||
\(977\) | −1.77063e6 | + | 5.44945e6i | −0.0593462 | + | 0.182649i | −0.976335 | − | 0.216265i | \(-0.930613\pi\) |
0.916989 | + | 0.398913i | \(0.130613\pi\) | |||||||
\(978\) | −3.00400e7 | −1.00428 | ||||||||
\(979\) | 5.09500e6 | + | 1.12984e7i | 0.169898 | + | 0.376757i | ||||
\(980\) | 1.23881e7 | 0.412039 | ||||||||
\(981\) | −867409. | + | 2.66961e6i | −0.0287774 | + | 0.0885677i | ||||
\(982\) | 5.74621e7 | − | 4.17486e7i | 1.90153 | − | 1.38154i | ||||
\(983\) | −3.11301e7 | − | 2.26174e7i | −1.02754 | − | 0.746549i | −0.0597223 | − | 0.998215i | \(-0.519022\pi\) |
−0.967814 | + | 0.251666i | \(0.919022\pi\) | |||||||
\(984\) | −479766. | − | 1.47657e6i | −0.0157958 | − | 0.0486145i | ||||
\(985\) | 2.35595e6 | + | 7.25086e6i | 0.0773705 | + | 0.238122i | ||||
\(986\) | −1.34221e6 | − | 975175.i | −0.0439673 | − | 0.0319441i | ||||
\(987\) | 7.14083e6 | − | 5.18812e6i | 0.233322 | − | 0.169518i | ||||
\(988\) | −339887. | + | 1.04606e6i | −0.0110775 | + | 0.0340931i | ||||
\(989\) | −1.84437e7 | −0.599594 | ||||||||
\(990\) | −7.33304e6 | + | 806056.i | −0.237791 | + | 0.0261383i | ||||
\(991\) | −1.73591e7 | −0.561492 | −0.280746 | − | 0.959782i | \(-0.590582\pi\) | ||||
−0.280746 | + | 0.959782i | \(0.590582\pi\) | |||||||
\(992\) | 1.46416e7 | − | 4.50624e7i | 0.472401 | − | 1.45390i | ||||
\(993\) | −1.61136e7 | + | 1.17072e7i | −0.518586 | + | 0.376775i | ||||
\(994\) | −2.45212e7 | − | 1.78157e7i | −0.787184 | − | 0.571922i | ||||
\(995\) | 4.94027e6 | + | 1.52046e7i | 0.158195 | + | 0.486875i | ||||
\(996\) | 1.18468e7 | + | 3.64606e7i | 0.378400 | + | 1.16460i | ||||
\(997\) | −9.74348e6 | − | 7.07905e6i | −0.310439 | − | 0.225547i | 0.421646 | − | 0.906761i | \(-0.361453\pi\) |
−0.732085 | + | 0.681214i | \(0.761453\pi\) | |||||||
\(998\) | −4.33892e7 | + | 3.15241e7i | −1.37897 | + | 1.00188i | ||||
\(999\) | 1.55800e6 | − | 4.79502e6i | 0.0493916 | − | 0.152012i |
(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.b.31.5 | yes | 20 | |
3.2 | odd | 2 | 99.6.f.b.64.1 | 20 | |||
11.4 | even | 5 | 363.6.a.r.1.9 | 10 | |||
11.5 | even | 5 | inner | 33.6.e.b.16.5 | ✓ | 20 | |
11.7 | odd | 10 | 363.6.a.t.1.2 | 10 | |||
33.5 | odd | 10 | 99.6.f.b.82.1 | 20 | |||
33.26 | odd | 10 | 1089.6.a.bk.1.2 | 10 | |||
33.29 | even | 10 | 1089.6.a.bi.1.9 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.e.b.16.5 | ✓ | 20 | 11.5 | even | 5 | inner | |
33.6.e.b.31.5 | yes | 20 | 1.1 | even | 1 | trivial | |
99.6.f.b.64.1 | 20 | 3.2 | odd | 2 | |||
99.6.f.b.82.1 | 20 | 33.5 | odd | 10 | |||
363.6.a.r.1.9 | 10 | 11.4 | even | 5 | |||
363.6.a.t.1.2 | 10 | 11.7 | odd | 10 | |||
1089.6.a.bi.1.9 | 10 | 33.29 | even | 10 | |||
1089.6.a.bk.1.2 | 10 | 33.26 | odd | 10 |