Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,6,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), 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: | \(11.8684026662\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Character | \(\chi\) | \(=\) | 74.7 |
Dual form | 74.6.f.a.53.4 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.75877 | + | 1.36808i | −0.664463 | + | 0.241845i | ||||
\(3\) | −2.35676 | − | 0.857791i | −0.151186 | − | 0.0550273i | 0.265319 | − | 0.964161i | \(-0.414523\pi\) |
−0.416505 | + | 0.909133i | \(0.636745\pi\) | |||||||
\(4\) | 12.2567 | − | 10.2846i | 0.383022 | − | 0.321394i | ||||
\(5\) | −1.87431 | − | 10.6298i | −0.0335287 | − | 0.190151i | 0.963443 | − | 0.267913i | \(-0.0863338\pi\) |
−0.996972 | + | 0.0777616i | \(0.975223\pi\) | |||||||
\(6\) | 10.0321 | 0.113766 | ||||||||
\(7\) | 20.8226 | + | 118.091i | 0.160616 | + | 0.910899i | 0.953470 | + | 0.301487i | \(0.0974831\pi\) |
−0.792854 | + | 0.609411i | \(0.791406\pi\) | |||||||
\(8\) | −32.0000 | + | 55.4256i | −0.176777 | + | 0.306186i | ||||
\(9\) | −181.330 | − | 152.154i | −0.746215 | − | 0.626149i | ||||
\(10\) | 21.5875 | + | 37.3906i | 0.0682656 | + | 0.118240i | ||||
\(11\) | 101.156 | − | 175.208i | 0.252064 | − | 0.436588i | −0.712030 | − | 0.702149i | \(-0.752224\pi\) |
0.964094 | + | 0.265561i | \(0.0855573\pi\) | |||||||
\(12\) | −37.7082 | + | 13.7247i | −0.0755932 | + | 0.0275137i | ||||
\(13\) | 259.129 | − | 217.435i | 0.425263 | − | 0.356838i | −0.404898 | − | 0.914362i | \(-0.632693\pi\) |
0.830161 | + | 0.557524i | \(0.188249\pi\) | |||||||
\(14\) | −239.825 | − | 415.388i | −0.327019 | − | 0.566414i | ||||
\(15\) | −4.70080 | + | 26.6596i | −0.00539441 | + | 0.0305932i | ||||
\(16\) | 44.4539 | − | 252.111i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 789.514 | + | 662.481i | 0.662579 | + | 0.555970i | 0.910858 | − | 0.412719i | \(-0.135421\pi\) |
−0.248280 | + | 0.968688i | \(0.579865\pi\) | |||||||
\(18\) | 889.738 | + | 323.838i | 0.647263 | + | 0.235585i | ||||
\(19\) | 1470.71 | + | 535.296i | 0.934639 | + | 0.340181i | 0.764047 | − | 0.645161i | \(-0.223210\pi\) |
0.170592 | + | 0.985342i | \(0.445432\pi\) | |||||||
\(20\) | −132.296 | − | 111.009i | −0.0739556 | − | 0.0620561i | ||||
\(21\) | 52.2233 | − | 296.173i | 0.0258414 | − | 0.146554i | ||||
\(22\) | −140.525 | + | 796.955i | −0.0619008 | + | 0.351057i | ||||
\(23\) | 1301.33 | + | 2253.96i | 0.512940 | + | 0.888438i | 0.999887 | + | 0.0150066i | \(0.00477692\pi\) |
−0.486948 | + | 0.873431i | \(0.661890\pi\) | |||||||
\(24\) | 122.960 | − | 103.176i | 0.0435748 | − | 0.0365636i | ||||
\(25\) | 2827.06 | − | 1028.97i | 0.904659 | − | 0.329269i | ||||
\(26\) | −676.538 | + | 1171.80i | −0.196272 | + | 0.339953i | ||||
\(27\) | 601.560 | + | 1041.93i | 0.158807 | + | 0.275062i | ||||
\(28\) | 1469.73 | + | 1233.25i | 0.354277 | + | 0.297273i | ||||
\(29\) | 2539.82 | − | 4399.10i | 0.560801 | − | 0.971335i | −0.436626 | − | 0.899643i | \(-0.643827\pi\) |
0.997427 | − | 0.0716923i | \(-0.0228400\pi\) | |||||||
\(30\) | −18.8032 | − | 106.638i | −0.00381442 | − | 0.0216327i | ||||
\(31\) | 9799.53 | 1.83148 | 0.915738 | − | 0.401777i | \(-0.131607\pi\) | ||||
0.915738 | + | 0.401777i | \(0.131607\pi\) | |||||||
\(32\) | 177.816 | + | 1008.44i | 0.0306970 | + | 0.174091i | ||||
\(33\) | −388.693 | + | 326.152i | −0.0621329 | + | 0.0521357i | ||||
\(34\) | −3873.93 | − | 1409.99i | −0.574717 | − | 0.209180i | ||||
\(35\) | 1216.25 | − | 442.678i | 0.167823 | − | 0.0610826i | ||||
\(36\) | −3787.36 | −0.487057 | ||||||||
\(37\) | −4859.97 | + | 6762.00i | −0.583619 | + | 0.812027i | ||||
\(38\) | −6260.40 | −0.703304 | ||||||||
\(39\) | −797.219 | + | 290.164i | −0.0839298 | + | 0.0305479i | ||||
\(40\) | 649.139 | + | 236.267i | 0.0641487 | + | 0.0233482i | ||||
\(41\) | 3733.80 | − | 3133.03i | 0.346890 | − | 0.291075i | −0.452650 | − | 0.891688i | \(-0.649521\pi\) |
0.799540 | + | 0.600613i | \(0.205077\pi\) | |||||||
\(42\) | 208.893 | + | 1184.69i | 0.0182726 | + | 0.103629i | ||||
\(43\) | −4327.33 | −0.356902 | −0.178451 | − | 0.983949i | \(-0.557109\pi\) | ||||
−0.178451 | + | 0.983949i | \(0.557109\pi\) | |||||||
\(44\) | −562.099 | − | 3187.82i | −0.0437705 | − | 0.248235i | ||||
\(45\) | −1277.49 | + | 2212.68i | −0.0940431 | + | 0.162887i | ||||
\(46\) | −7974.99 | − | 6691.81i | −0.555694 | − | 0.466282i | ||||
\(47\) | −8005.00 | − | 13865.1i | −0.528588 | − | 0.915541i | −0.999444 | − | 0.0333309i | \(-0.989388\pi\) |
0.470857 | − | 0.882210i | \(-0.343945\pi\) | |||||||
\(48\) | −321.026 | + | 556.033i | −0.0201111 | + | 0.0348335i | ||||
\(49\) | 2281.61 | − | 830.439i | 0.135754 | − | 0.0494103i | ||||
\(50\) | −9218.56 | + | 7735.29i | −0.521481 | + | 0.437574i | ||||
\(51\) | −1292.43 | − | 2238.55i | −0.0695793 | − | 0.120515i | ||||
\(52\) | 939.836 | − | 5330.08i | 0.0481996 | − | 0.273354i | ||||
\(53\) | −722.282 | + | 4096.26i | −0.0353197 | + | 0.200308i | −0.997362 | − | 0.0725939i | \(-0.976872\pi\) |
0.962042 | + | 0.272902i | \(0.0879834\pi\) | |||||||
\(54\) | −3686.57 | − | 3093.40i | −0.172043 | − | 0.144362i | ||||
\(55\) | −2052.01 | − | 746.872i | −0.0914690 | − | 0.0332920i | ||||
\(56\) | −7211.57 | − | 2624.80i | −0.307298 | − | 0.111847i | ||||
\(57\) | −3006.95 | − | 2523.13i | −0.122585 | − | 0.102861i | ||||
\(58\) | −3528.29 | + | 20009.9i | −0.137719 | + | 0.781043i | ||||
\(59\) | 4984.39 | − | 28267.9i | 0.186415 | − | 1.05721i | −0.737708 | − | 0.675120i | \(-0.764092\pi\) |
0.924123 | − | 0.382095i | \(-0.124797\pi\) | |||||||
\(60\) | 216.567 | + | 375.105i | 0.00776629 | + | 0.0134516i | ||||
\(61\) | −30397.9 | + | 25506.8i | −1.04597 | + | 0.877672i | −0.992664 | − | 0.120907i | \(-0.961420\pi\) |
−0.0533046 | + | 0.998578i | \(0.516975\pi\) | |||||||
\(62\) | −36834.2 | + | 13406.5i | −1.21695 | + | 0.442933i | ||||
\(63\) | 14192.2 | − | 24581.6i | 0.450504 | − | 0.780296i | ||||
\(64\) | −2048.00 | − | 3547.24i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −2796.97 | − | 2346.94i | −0.0821116 | − | 0.0688998i | ||||
\(66\) | 1014.80 | − | 1757.69i | 0.0286763 | − | 0.0496688i | ||||
\(67\) | 6011.98 | + | 34095.6i | 0.163618 | + | 0.927923i | 0.950478 | + | 0.310791i | \(0.100594\pi\) |
−0.786860 | + | 0.617131i | \(0.788295\pi\) | |||||||
\(68\) | 16490.2 | 0.432468 | ||||||||
\(69\) | −1133.49 | − | 6428.32i | −0.0286611 | − | 0.162545i | ||||
\(70\) | −3965.97 | + | 3327.85i | −0.0967397 | + | 0.0811742i | ||||
\(71\) | −23703.9 | − | 8627.51i | −0.558051 | − | 0.203114i | 0.0475690 | − | 0.998868i | \(-0.484853\pi\) |
−0.605620 | + | 0.795754i | \(0.707075\pi\) | |||||||
\(72\) | 14235.8 | − | 5181.41i | 0.323632 | − | 0.117792i | ||||
\(73\) | 26329.4 | 0.578275 | 0.289137 | − | 0.957288i | \(-0.406632\pi\) | ||||
0.289137 | + | 0.957288i | \(0.406632\pi\) | |||||||
\(74\) | 9016.57 | − | 32065.6i | 0.191409 | − | 0.680707i | ||||
\(75\) | −7545.35 | −0.154891 | ||||||||
\(76\) | 23531.4 | − | 8564.73i | 0.467319 | − | 0.170090i | ||||
\(77\) | 22796.7 | + | 8297.32i | 0.438173 | + | 0.159482i | ||||
\(78\) | 2599.60 | − | 2181.32i | 0.0483804 | − | 0.0405960i | ||||
\(79\) | −4.80197 | − | 27.2333i | −8.65669e−5 | − | 0.000490945i | 0.984764 | − | 0.173894i | \(-0.0556349\pi\) |
−0.984851 | + | 0.173403i | \(0.944524\pi\) | |||||||
\(80\) | −2763.20 | −0.0482711 | ||||||||
\(81\) | 9464.36 | + | 53675.0i | 0.160280 | + | 0.908991i | ||||
\(82\) | −9748.27 | + | 16884.5i | −0.160101 | + | 0.277302i | ||||
\(83\) | 39504.0 | + | 33147.8i | 0.629428 | + | 0.528153i | 0.900751 | − | 0.434335i | \(-0.143017\pi\) |
−0.271323 | + | 0.962488i | \(0.587461\pi\) | |||||||
\(84\) | −2405.93 | − | 4167.20i | −0.0372036 | − | 0.0644386i | ||||
\(85\) | 5562.22 | − | 9634.04i | 0.0835027 | − | 0.144631i | ||||
\(86\) | 16265.5 | − | 5920.14i | 0.237148 | − | 0.0863149i | ||||
\(87\) | −9759.27 | + | 8189.00i | −0.138235 | + | 0.115993i | ||||
\(88\) | 6474.00 | + | 11213.3i | 0.0891181 | + | 0.154357i | ||||
\(89\) | 10930.3 | − | 61988.5i | 0.146270 | − | 0.829538i | −0.820069 | − | 0.572265i | \(-0.806065\pi\) |
0.966339 | − | 0.257273i | \(-0.0828240\pi\) | |||||||
\(90\) | 1774.67 | − | 10064.7i | 0.0230947 | − | 0.130977i | ||||
\(91\) | 31072.7 | + | 26073.1i | 0.393347 | + | 0.330058i | ||||
\(92\) | 39131.1 | + | 14242.5i | 0.482006 | + | 0.175436i | ||||
\(93\) | −23095.2 | − | 8405.95i | −0.276894 | − | 0.100781i | ||||
\(94\) | 49057.5 | + | 41164.1i | 0.572646 | + | 0.480507i | ||||
\(95\) | 2933.49 | − | 16636.6i | 0.0333484 | − | 0.189128i | ||||
\(96\) | 445.964 | − | 2529.19i | 0.00493881 | − | 0.0280094i | ||||
\(97\) | 63744.0 | + | 110408.i | 0.687876 | + | 1.19144i | 0.972524 | + | 0.232804i | \(0.0747900\pi\) |
−0.284648 | + | 0.958632i | \(0.591877\pi\) | |||||||
\(98\) | −7439.95 | + | 6242.86i | −0.0782537 | + | 0.0656626i | ||||
\(99\) | −45001.3 | + | 16379.1i | −0.461463 | + | 0.167959i | ||||
\(100\) | 24068.0 | − | 41686.9i | 0.240680 | − | 0.416869i | ||||
\(101\) | −55859.9 | − | 96752.1i | −0.544874 | − | 0.943750i | −0.998615 | − | 0.0526161i | \(-0.983244\pi\) |
0.453740 | − | 0.891134i | \(-0.350089\pi\) | |||||||
\(102\) | 7920.45 | + | 6646.04i | 0.0753788 | + | 0.0632503i | ||||
\(103\) | 65835.1 | − | 114030.i | 0.611455 | − | 1.05907i | −0.379541 | − | 0.925175i | \(-0.623918\pi\) |
0.990995 | − | 0.133896i | \(-0.0427487\pi\) | |||||||
\(104\) | 3759.34 | + | 21320.3i | 0.0340823 | + | 0.193290i | ||||
\(105\) | −3246.13 | −0.0287338 | ||||||||
\(106\) | −2889.13 | − | 16385.1i | −0.0249748 | − | 0.141639i | ||||
\(107\) | 87627.2 | − | 73528.0i | 0.739911 | − | 0.620859i | −0.192903 | − | 0.981218i | \(-0.561790\pi\) |
0.932814 | + | 0.360359i | \(0.117346\pi\) | |||||||
\(108\) | 18089.0 | + | 6583.85i | 0.149230 | + | 0.0543151i | ||||
\(109\) | −125748. | + | 45768.7i | −1.01376 | + | 0.368979i | −0.794876 | − | 0.606771i | \(-0.792464\pi\) |
−0.218886 | + | 0.975751i | \(0.570242\pi\) | |||||||
\(110\) | 8734.83 | 0.0688292 | ||||||||
\(111\) | 17254.2 | − | 11767.6i | 0.132919 | − | 0.0906524i | ||||
\(112\) | 30697.5 | 0.231238 | ||||||||
\(113\) | −178097. | + | 64821.9i | −1.31208 | + | 0.477557i | −0.900912 | − | 0.434003i | \(-0.857101\pi\) |
−0.411167 | + | 0.911560i | \(0.634879\pi\) | |||||||
\(114\) | 14754.3 | + | 5370.12i | 0.106330 | + | 0.0387009i | ||||
\(115\) | 21520.0 | − | 18057.4i | 0.151739 | − | 0.127324i | ||||
\(116\) | −14113.1 | − | 80039.6i | −0.0973820 | − | 0.552281i | ||||
\(117\) | −80071.6 | −0.540771 | ||||||||
\(118\) | 19937.6 | + | 113072.i | 0.131816 | + | 0.747564i | ||||
\(119\) | −61793.0 | + | 107029.i | −0.400011 | + | 0.692840i | ||||
\(120\) | −1327.20 | − | 1113.65i | −0.00841362 | − | 0.00705986i | ||||
\(121\) | 60060.3 | + | 104028.i | 0.372927 | + | 0.645929i | ||||
\(122\) | 79363.2 | − | 137461.i | 0.482747 | − | 0.836142i | ||||
\(123\) | −11487.2 | + | 4180.99i | −0.0684621 | + | 0.0249182i | ||||
\(124\) | 120110. | − | 100784.i | 0.701496 | − | 0.588625i | ||||
\(125\) | −33101.7 | − | 57333.8i | −0.189485 | − | 0.328198i | ||||
\(126\) | −19715.6 | + | 111813.i | −0.110633 | + | 0.627430i | ||||
\(127\) | 4504.71 | − | 25547.5i | 0.0247832 | − | 0.140553i | −0.969905 | − | 0.243482i | \(-0.921710\pi\) |
0.994689 | + | 0.102929i | \(0.0328215\pi\) | |||||||
\(128\) | 12550.9 | + | 10531.4i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | 10198.5 | + | 3711.95i | 0.0539588 | + | 0.0196394i | ||||
\(130\) | 13724.0 | + | 4995.12i | 0.0712232 | + | 0.0259231i | ||||
\(131\) | 24502.1 | + | 20559.7i | 0.124746 | + | 0.104674i | 0.703026 | − | 0.711164i | \(-0.251832\pi\) |
−0.578281 | + | 0.815838i | \(0.696276\pi\) | |||||||
\(132\) | −1409.75 | + | 7995.10i | −0.00704219 | + | 0.0399383i | ||||
\(133\) | −32589.4 | + | 184824.i | −0.159752 | + | 0.906000i | ||||
\(134\) | −69243.2 | − | 119933.i | −0.333131 | − | 0.577000i | ||||
\(135\) | 9947.97 | − | 8347.34i | 0.0469786 | − | 0.0394197i | ||||
\(136\) | −61982.9 | + | 22559.9i | −0.287359 | + | 0.104590i | ||||
\(137\) | 22055.9 | − | 38201.9i | 0.100398 | − | 0.173894i | −0.811451 | − | 0.584421i | \(-0.801322\pi\) |
0.911849 | + | 0.410527i | \(0.134655\pi\) | |||||||
\(138\) | 13055.0 | + | 22611.9i | 0.0583550 | + | 0.101074i | ||||
\(139\) | −109846. | − | 92171.7i | −0.482222 | − | 0.404632i | 0.369007 | − | 0.929427i | \(-0.379698\pi\) |
−0.851229 | + | 0.524794i | \(0.824142\pi\) | |||||||
\(140\) | 10354.4 | − | 17934.4i | 0.0446484 | − | 0.0773333i | ||||
\(141\) | 6972.55 | + | 39543.3i | 0.0295355 | + | 0.167504i | ||||
\(142\) | 100901. | 0.419926 | ||||||||
\(143\) | −11883.8 | − | 67396.3i | −0.0485976 | − | 0.275611i | ||||
\(144\) | −46420.6 | + | 38951.5i | −0.186554 | + | 0.156537i | ||||
\(145\) | −51521.8 | − | 18752.4i | −0.203503 | − | 0.0740691i | ||||
\(146\) | −98966.3 | + | 36020.8i | −0.384242 | + | 0.139853i | ||||
\(147\) | −6089.56 | −0.0232430 | ||||||||
\(148\) | 9977.15 | + | 132863.i | 0.0374414 | + | 0.498596i | ||||
\(149\) | −388652. | −1.43415 | −0.717076 | − | 0.696995i | \(-0.754520\pi\) | ||||
−0.717076 | + | 0.696995i | \(0.754520\pi\) | |||||||
\(150\) | 28361.2 | − | 10322.6i | 0.102919 | − | 0.0374596i | ||||
\(151\) | 122740. | + | 44673.6i | 0.438069 | + | 0.159444i | 0.551634 | − | 0.834087i | \(-0.314005\pi\) |
−0.113565 | + | 0.993531i | \(0.536227\pi\) | |||||||
\(152\) | −76731.9 | + | 64385.7i | −0.269381 | + | 0.226038i | ||||
\(153\) | −42363.6 | − | 240256.i | −0.146307 | − | 0.829746i | ||||
\(154\) | −97039.0 | −0.329719 | ||||||||
\(155\) | −18367.4 | − | 104167.i | −0.0614071 | − | 0.348257i | ||||
\(156\) | −6787.06 | + | 11755.5i | −0.0223291 | + | 0.0386751i | ||||
\(157\) | 284542. | + | 238759.i | 0.921291 | + | 0.773055i | 0.974233 | − | 0.225542i | \(-0.0724154\pi\) |
−0.0529421 | + | 0.998598i | \(0.516860\pi\) | |||||||
\(158\) | 55.3069 | + | 95.7944i | 0.000176253 | + | 0.000305279i | ||||
\(159\) | 5215.99 | − | 9034.35i | 0.0163623 | − | 0.0283403i | ||||
\(160\) | 10386.2 | − | 3780.28i | 0.0320743 | − | 0.0116741i | ||||
\(161\) | −239075. | + | 200608.i | −0.726890 | + | 0.609934i | ||||
\(162\) | −109006. | − | 188804.i | −0.326335 | − | 0.565228i | ||||
\(163\) | 84355.9 | − | 478406.i | 0.248683 | − | 1.41035i | −0.563097 | − | 0.826391i | \(-0.690390\pi\) |
0.811781 | − | 0.583962i | \(-0.198498\pi\) | |||||||
\(164\) | 13542.1 | − | 76801.3i | 0.0393168 | − | 0.222977i | ||||
\(165\) | 4195.45 | + | 3520.40i | 0.0119969 | + | 0.0100666i | ||||
\(166\) | −193835. | − | 70550.3i | −0.545963 | − | 0.198714i | ||||
\(167\) | −383222. | − | 139481.i | −1.06331 | − | 0.387012i | −0.249637 | − | 0.968339i | \(-0.580311\pi\) |
−0.813670 | + | 0.581327i | \(0.802534\pi\) | |||||||
\(168\) | 14744.4 | + | 12372.0i | 0.0403046 | + | 0.0338196i | ||||
\(169\) | −44604.5 | + | 252965.i | −0.120133 | + | 0.681308i | ||||
\(170\) | −7726.95 | + | 43821.7i | −0.0205062 | + | 0.116297i | ||||
\(171\) | −185237. | − | 320840.i | −0.484438 | − | 0.839071i | ||||
\(172\) | −53038.9 | + | 44504.9i | −0.136701 | + | 0.114706i | ||||
\(173\) | 209251. | − | 76161.3i | 0.531561 | − | 0.193472i | −0.0622742 | − | 0.998059i | \(-0.519835\pi\) |
0.593835 | + | 0.804587i | \(0.297613\pi\) | |||||||
\(174\) | 25479.7 | − | 44132.1i | 0.0638000 | − | 0.110505i | ||||
\(175\) | 180378. | + | 312423.i | 0.445234 | + | 0.771167i | ||||
\(176\) | −39675.0 | − | 33291.2i | −0.0965461 | − | 0.0810118i | ||||
\(177\) | −35995.0 | + | 62345.1i | −0.0863592 | + | 0.149579i | ||||
\(178\) | 43721.0 | + | 247954.i | 0.103428 | + | 0.586572i | ||||
\(179\) | 175956. | 0.410460 | 0.205230 | − | 0.978714i | \(-0.434206\pi\) | ||||
0.205230 | + | 0.978714i | \(0.434206\pi\) | |||||||
\(180\) | 7098.70 | + | 40258.7i | 0.0163304 | + | 0.0926144i | ||||
\(181\) | −101440. | + | 85118.2i | −0.230151 | + | 0.193119i | −0.750569 | − | 0.660792i | \(-0.770221\pi\) |
0.520418 | + | 0.853912i | \(0.325776\pi\) | |||||||
\(182\) | −152465. | − | 55492.9i | −0.341187 | − | 0.124182i | ||||
\(183\) | 93520.1 | − | 34038.5i | 0.206432 | − | 0.0751351i | ||||
\(184\) | −166570. | −0.362703 | ||||||||
\(185\) | 80987.5 | + | 38986.3i | 0.173976 | + | 0.0837495i | ||||
\(186\) | 98309.4 | 0.208359 | ||||||||
\(187\) | 195936. | − | 71314.9i | 0.409742 | − | 0.149134i | ||||
\(188\) | −240712. | − | 87611.9i | −0.496710 | − | 0.180788i | ||||
\(189\) | −110516. | + | 92734.2i | −0.225046 | + | 0.188836i | ||||
\(190\) | 11734.0 | + | 66546.6i | 0.0235809 | + | 0.133734i | ||||
\(191\) | 954517. | 1.89322 | 0.946608 | − | 0.322386i | \(-0.104485\pi\) | ||||
0.946608 | + | 0.322386i | \(0.104485\pi\) | |||||||
\(192\) | 1783.86 | + | 10116.8i | 0.00349226 | + | 0.0198056i | ||||
\(193\) | 92996.3 | − | 161074.i | 0.179710 | − | 0.311267i | −0.762071 | − | 0.647493i | \(-0.775817\pi\) |
0.941781 | + | 0.336226i | \(0.109151\pi\) | |||||||
\(194\) | −390646. | − | 327791.i | −0.745211 | − | 0.625306i | ||||
\(195\) | 4578.61 | + | 7930.39i | 0.00862278 | + | 0.0149351i | ||||
\(196\) | 19424.3 | − | 33643.9i | 0.0361165 | − | 0.0625556i | ||||
\(197\) | 340152. | − | 123805.i | 0.624463 | − | 0.227286i | −0.0103563 | − | 0.999946i | \(-0.503297\pi\) |
0.634820 | + | 0.772660i | \(0.281074\pi\) | |||||||
\(198\) | 146741. | − | 123131.i | 0.266005 | − | 0.223205i | ||||
\(199\) | 231117. | + | 400306.i | 0.413713 | + | 0.716572i | 0.995292 | − | 0.0969177i | \(-0.0308984\pi\) |
−0.581579 | + | 0.813490i | \(0.697565\pi\) | |||||||
\(200\) | −33434.9 | + | 189619.i | −0.0591050 | + | 0.335201i | ||||
\(201\) | 15078.1 | − | 85512.3i | 0.0263243 | − | 0.149293i | ||||
\(202\) | 342329. | + | 287248.i | 0.590290 | + | 0.495312i | ||||
\(203\) | 572378. | + | 208329.i | 0.974862 | + | 0.354821i | ||||
\(204\) | −38863.5 | − | 14145.1i | −0.0653832 | − | 0.0237975i | ||||
\(205\) | −40301.7 | − | 33817.1i | −0.0669790 | − | 0.0562021i | ||||
\(206\) | −91457.1 | + | 518679.i | −0.150158 | + | 0.851591i | ||||
\(207\) | 106980. | − | 606714.i | 0.173531 | − | 0.984142i | ||||
\(208\) | −43298.4 | − | 74995.0i | −0.0693927 | − | 0.120192i | ||||
\(209\) | 242560. | − | 203532.i | 0.384108 | − | 0.322305i | ||||
\(210\) | 12201.5 | − | 4440.97i | 0.0190925 | − | 0.00694911i | ||||
\(211\) | −81792.5 | + | 141669.i | −0.126476 | + | 0.219063i | −0.922309 | − | 0.386454i | \(-0.873700\pi\) |
0.795833 | + | 0.605516i | \(0.207033\pi\) | |||||||
\(212\) | 33275.6 | + | 57635.1i | 0.0508495 | + | 0.0880739i | ||||
\(213\) | 48463.8 | + | 40666.0i | 0.0731929 | + | 0.0614161i | ||||
\(214\) | −228778. | + | 396256.i | −0.341492 | + | 0.591482i | ||||
\(215\) | 8110.78 | + | 45998.5i | 0.0119665 | + | 0.0678653i | ||||
\(216\) | −76999.6 | −0.112293 | ||||||||
\(217\) | 204051. | + | 1.15723e6i | 0.294164 | + | 1.66829i | ||||
\(218\) | 410044. | − | 344068.i | 0.584372 | − | 0.490346i | ||||
\(219\) | −62052.2 | − | 22585.1i | −0.0874272 | − | 0.0318209i | ||||
\(220\) | −32832.2 | + | 11950.0i | −0.0457345 | + | 0.0166460i | ||||
\(221\) | 348632. | 0.480161 | ||||||||
\(222\) | −48755.5 | + | 67836.7i | −0.0663959 | + | 0.0923810i | ||||
\(223\) | 1.40603e6 | 1.89336 | 0.946680 | − | 0.322176i | \(-0.104414\pi\) | ||||
0.946680 | + | 0.322176i | \(0.104414\pi\) | |||||||
\(224\) | −115385. | + | 41996.7i | −0.153649 | + | 0.0559236i | ||||
\(225\) | −669193. | − | 243566.i | −0.881242 | − | 0.320746i | ||||
\(226\) | 580743. | − | 487301.i | 0.756333 | − | 0.634639i | ||||
\(227\) | −111537. | − | 632559.i | −0.143666 | − | 0.814772i | −0.968428 | − | 0.249292i | \(-0.919802\pi\) |
0.824762 | − | 0.565480i | \(-0.191309\pi\) | |||||||
\(228\) | −62804.7 | −0.0800120 | ||||||||
\(229\) | 25519.0 | + | 144725.i | 0.0321569 | + | 0.182371i | 0.996656 | − | 0.0817168i | \(-0.0260403\pi\) |
−0.964499 | + | 0.264088i | \(0.914929\pi\) | |||||||
\(230\) | −56184.7 | + | 97314.7i | −0.0700323 | + | 0.121300i | ||||
\(231\) | −46609.0 | − | 39109.6i | −0.0574699 | − | 0.0482230i | ||||
\(232\) | 162549. | + | 281543.i | 0.198273 | + | 0.343419i | ||||
\(233\) | −381892. | + | 661457.i | −0.460841 | + | 0.798200i | −0.999003 | − | 0.0446412i | \(-0.985786\pi\) |
0.538162 | + | 0.842841i | \(0.319119\pi\) | |||||||
\(234\) | 300971. | − | 109544.i | 0.359323 | − | 0.130783i | ||||
\(235\) | −132379. | + | 111079.i | −0.156368 | + | 0.131208i | ||||
\(236\) | −229632. | − | 397734.i | −0.268381 | − | 0.464850i | ||||
\(237\) | −12.0434 | + | 68.3016i | −1.39277e−5 | + | 7.89878e-5i | ||||
\(238\) | 85842.0 | − | 486834.i | 0.0982330 | − | 0.557107i | ||||
\(239\) | −369790. | − | 310291.i | −0.418756 | − | 0.351378i | 0.408934 | − | 0.912564i | \(-0.365901\pi\) |
−0.827689 | + | 0.561186i | \(0.810345\pi\) | |||||||
\(240\) | 6512.20 | + | 2370.25i | 0.00729793 | + | 0.00265623i | ||||
\(241\) | −132604. | − | 48264.0i | −0.147067 | − | 0.0535280i | 0.267438 | − | 0.963575i | \(-0.413823\pi\) |
−0.414505 | + | 0.910047i | \(0.636045\pi\) | |||||||
\(242\) | −368071. | − | 308848.i | −0.404011 | − | 0.339006i | ||||
\(243\) | 74504.2 | − | 422534.i | 0.0809403 | − | 0.459035i | ||||
\(244\) | −110250. | + | 625260.i | −0.118551 | + | 0.672336i | ||||
\(245\) | −13103.8 | − | 22696.5i | −0.0139471 | − | 0.0241570i | ||||
\(246\) | 37457.7 | − | 31430.8i | 0.0394642 | − | 0.0331144i | ||||
\(247\) | 497496. | − | 181074.i | 0.518857 | − | 0.188848i | ||||
\(248\) | −313585. | + | 543145.i | −0.323762 | + | 0.560773i | ||||
\(249\) | −64667.7 | − | 112008.i | −0.0660981 | − | 0.114485i | ||||
\(250\) | 202859. | + | 170219.i | 0.205279 | + | 0.172249i | ||||
\(251\) | −75622.9 | + | 130983.i | −0.0757651 | + | 0.131229i | −0.901419 | − | 0.432948i | \(-0.857473\pi\) |
0.825654 | + | 0.564177i | \(0.190807\pi\) | |||||||
\(252\) | −78862.5 | − | 447251.i | −0.0782292 | − | 0.443660i | ||||
\(253\) | 526549. | 0.517175 | ||||||||
\(254\) | 18018.8 | + | 102190.i | 0.0175244 | + | 0.0993857i | ||||
\(255\) | −21372.8 | + | 17933.9i | −0.0205831 | + | 0.0172713i | ||||
\(256\) | −61583.7 | − | 22414.6i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −1.37807e6 | + | 501578.i | −1.30149 | + | 0.473702i | −0.897481 | − | 0.441054i | \(-0.854605\pi\) |
−0.404006 | + | 0.914756i | \(0.632383\pi\) | |||||||
\(258\) | −43412.1 | −0.0406033 | ||||||||
\(259\) | −899725. | − | 433115.i | −0.833413 | − | 0.401194i | ||||
\(260\) | −58419.0 | −0.0535945 | ||||||||
\(261\) | −1.12989e6 | + | 411246.i | −1.02668 | + | 0.373680i | ||||
\(262\) | −120225. | − | 43758.4i | −0.108204 | − | 0.0393829i | ||||
\(263\) | −378160. | + | 317314.i | −0.337121 | + | 0.282878i | −0.795594 | − | 0.605830i | \(-0.792841\pi\) |
0.458473 | + | 0.888708i | \(0.348397\pi\) | |||||||
\(264\) | −5639.01 | − | 31980.4i | −0.00497958 | − | 0.0282406i | ||||
\(265\) | 44896.1 | 0.0392730 | ||||||||
\(266\) | −130358. | − | 739294.i | −0.112962 | − | 0.640639i | ||||
\(267\) | −78933.2 | + | 136716.i | −0.0677613 | + | 0.117366i | ||||
\(268\) | 424347. | + | 356070.i | 0.360898 | + | 0.302829i | ||||
\(269\) | 309529. | + | 536120.i | 0.260808 | + | 0.451733i | 0.966457 | − | 0.256829i | \(-0.0826777\pi\) |
−0.705649 | + | 0.708562i | \(0.749344\pi\) | |||||||
\(270\) | −25972.3 | + | 44985.4i | −0.0216821 | + | 0.0375545i | ||||
\(271\) | −2.02024e6 | + | 735306.i | −1.67101 | + | 0.608198i | −0.992035 | − | 0.125964i | \(-0.959798\pi\) |
−0.678974 | + | 0.734162i | \(0.737575\pi\) | |||||||
\(272\) | 202116. | − | 169595.i | 0.165645 | − | 0.138992i | ||||
\(273\) | −50865.8 | − | 88102.1i | −0.0413066 | − | 0.0715450i | ||||
\(274\) | −30639.7 | + | 173767.i | −0.0246552 | + | 0.139827i | ||||
\(275\) | 105692. | − | 599409.i | 0.0842773 | − | 0.477960i | ||||
\(276\) | −80005.5 | − | 67132.6i | −0.0632189 | − | 0.0530470i | ||||
\(277\) | −1.60028e6 | − | 582454.i | −1.25313 | − | 0.456102i | −0.371672 | − | 0.928364i | \(-0.621215\pi\) |
−0.881458 | + | 0.472262i | \(0.843437\pi\) | |||||||
\(278\) | 538984. | + | 196174.i | 0.418277 | + | 0.152240i | ||||
\(279\) | −1.77695e6 | − | 1.49104e6i | −1.36667 | − | 1.14678i | ||||
\(280\) | −14384.2 | + | 81576.9i | −0.0109646 | + | 0.0621831i | ||||
\(281\) | 155429. | − | 881480.i | 0.117426 | − | 0.665958i | −0.868094 | − | 0.496400i | \(-0.834655\pi\) |
0.985520 | − | 0.169558i | \(-0.0542339\pi\) | |||||||
\(282\) | −80306.6 | − | 139095.i | −0.0601352 | − | 0.104157i | ||||
\(283\) | 720635. | − | 604684.i | 0.534871 | − | 0.448810i | −0.334908 | − | 0.942251i | \(-0.608705\pi\) |
0.869780 | + | 0.493441i | \(0.164261\pi\) | |||||||
\(284\) | −379262. | + | 138040.i | −0.279026 | + | 0.101557i | ||||
\(285\) | −21184.3 | + | 36692.3i | −0.0154491 | + | 0.0267585i | ||||
\(286\) | 136872. | + | 237069.i | 0.0989463 | + | 0.171380i | ||||
\(287\) | 447729. | + | 375689.i | 0.320856 | + | 0.269230i | ||||
\(288\) | 121195. | − | 209917.i | 0.0861004 | − | 0.149130i | ||||
\(289\) | −62104.2 | − | 352211.i | −0.0437398 | − | 0.248061i | ||||
\(290\) | 219314. | 0.153134 | ||||||||
\(291\) | −55522.6 | − | 314884.i | −0.0384359 | − | 0.217981i | ||||
\(292\) | 322712. | − | 270788.i | 0.221492 | − | 0.185854i | ||||
\(293\) | −680348. | − | 247626.i | −0.462980 | − | 0.168511i | 0.0999899 | − | 0.994988i | \(-0.468119\pi\) |
−0.562970 | + | 0.826478i | \(0.690341\pi\) | |||||||
\(294\) | 22889.3 | − | 8331.01i | 0.0154441 | − | 0.00562120i | ||||
\(295\) | −309823. | −0.207281 | ||||||||
\(296\) | −219269. | − | 485751.i | −0.145461 | − | 0.322244i | ||||
\(297\) | 243406. | 0.160118 | ||||||||
\(298\) | 1.46085e6 | − | 531707.i | 0.952941 | − | 0.346842i | ||||
\(299\) | 827301. | + | 301113.i | 0.535163 | + | 0.194783i | ||||
\(300\) | −92481.1 | + | 77600.9i | −0.0593267 | + | 0.0497810i | ||||
\(301\) | −90106.1 | − | 511017.i | −0.0573242 | − | 0.325102i | ||||
\(302\) | −522467. | −0.329641 | ||||||||
\(303\) | 48655.3 | + | 275938.i | 0.0304455 | + | 0.172665i | ||||
\(304\) | 200333. | − | 346987.i | 0.124328 | − | 0.215342i | ||||
\(305\) | 328107. | + | 275314.i | 0.201960 | + | 0.169465i | ||||
\(306\) | 487924. | + | 845109.i | 0.297885 | + | 0.515952i | ||||
\(307\) | −457041. | + | 791618.i | −0.276764 | + | 0.479369i | −0.970579 | − | 0.240785i | \(-0.922595\pi\) |
0.693815 | + | 0.720153i | \(0.255929\pi\) | |||||||
\(308\) | 364747. | − | 132757.i | 0.219086 | − | 0.0797409i | ||||
\(309\) | −252971. | + | 212268.i | −0.150721 | + | 0.126470i | ||||
\(310\) | 211547. | + | 366411.i | 0.125027 | + | 0.216553i | ||||
\(311\) | −348777. | + | 1.97801e6i | −0.204478 | + | 1.15965i | 0.693781 | + | 0.720186i | \(0.255944\pi\) |
−0.898259 | + | 0.439467i | \(0.855167\pi\) | |||||||
\(312\) | 9428.49 | − | 53471.6i | 0.00548347 | − | 0.0310983i | ||||
\(313\) | 350208. | + | 293859.i | 0.202053 | + | 0.169543i | 0.738200 | − | 0.674582i | \(-0.235676\pi\) |
−0.536147 | + | 0.844125i | \(0.680121\pi\) | |||||||
\(314\) | −1.39617e6 | − | 508164.i | −0.799123 | − | 0.290857i | ||||
\(315\) | −287898. | − | 104786.i | −0.163479 | − | 0.0595014i | ||||
\(316\) | −338.940 | − | 284.405i | −0.000190944 | − | 0.000160221i | ||||
\(317\) | −476027. | + | 2.69968e6i | −0.266062 | + | 1.50891i | 0.499931 | + | 0.866065i | \(0.333359\pi\) |
−0.765993 | + | 0.642849i | \(0.777752\pi\) | |||||||
\(318\) | −7245.97 | + | 41093.9i | −0.00401817 | + | 0.0227882i | ||||
\(319\) | −513838. | − | 889993.i | −0.282715 | − | 0.489677i | ||||
\(320\) | −33867.7 | + | 28418.4i | −0.0184889 | + | 0.0155140i | ||||
\(321\) | −269588. | + | 98122.1i | −0.146029 | + | 0.0531501i | ||||
\(322\) | 624180. | − | 1.08111e6i | 0.335483 | − | 0.581073i | ||||
\(323\) | 806525. | + | 1.39694e6i | 0.430142 | + | 0.745027i | ||||
\(324\) | 668028. | + | 560542.i | 0.353535 | + | 0.296651i | ||||
\(325\) | 508840. | − | 881337.i | 0.267222 | − | 0.462843i | ||||
\(326\) | 337424. | + | 1.91362e6i | 0.175846 | + | 0.997270i | ||||
\(327\) | 335619. | 0.173571 | ||||||||
\(328\) | 54168.6 | + | 307205.i | 0.0278012 | + | 0.157668i | ||||
\(329\) | 1.47065e6 | − | 1.23402e6i | 0.749065 | − | 0.628540i | ||||
\(330\) | −20585.9 | − | 7492.66i | −0.0104060 | − | 0.00378749i | ||||
\(331\) | 564986. | − | 205638.i | 0.283445 | − | 0.103165i | −0.196386 | − | 0.980527i | \(-0.562920\pi\) |
0.479830 | + | 0.877361i | \(0.340698\pi\) | |||||||
\(332\) | 825101. | 0.410830 | ||||||||
\(333\) | 1.91013e6 | − | 486689.i | 0.943956 | − | 0.240515i | ||||
\(334\) | 1.63126e6 | 0.800125 | ||||||||
\(335\) | 351160. | − | 127812.i | 0.170959 | − | 0.0622242i | ||||
\(336\) | −72346.8 | − | 26332.1i | −0.0349600 | − | 0.0127244i | ||||
\(337\) | −414698. | + | 347973.i | −0.198910 | + | 0.166905i | −0.736802 | − | 0.676108i | \(-0.763665\pi\) |
0.537892 | + | 0.843014i | \(0.319221\pi\) | |||||||
\(338\) | −178418. | − | 1.01186e6i | −0.0849468 | − | 0.481757i | ||||
\(339\) | 475335. | 0.224647 | ||||||||
\(340\) | −30907.8 | − | 175287.i | −0.0145001 | − | 0.0822341i | ||||
\(341\) | 991284. | − | 1.71695e6i | 0.461649 | − | 0.799600i | ||||
\(342\) | 1.13520e6 | + | 952546.i | 0.524816 | + | 0.440373i | ||||
\(343\) | 1.15326e6 | + | 1.99750e6i | 0.529287 | + | 0.916753i | ||||
\(344\) | 138475. | − | 239845.i | 0.0630920 | − | 0.109279i | ||||
\(345\) | −66207.0 | + | 24097.4i | −0.0299472 | + | 0.0108999i | ||||
\(346\) | −682333. | + | 572546.i | −0.306412 | + | 0.257110i | ||||
\(347\) | −199976. | − | 346369.i | −0.0891568 | − | 0.154424i | 0.817998 | − | 0.575221i | \(-0.195084\pi\) |
−0.907155 | + | 0.420797i | \(0.861751\pi\) | |||||||
\(348\) | −35396.0 | + | 200740.i | −0.0156677 | + | 0.0888560i | ||||
\(349\) | −52989.6 | + | 300519.i | −0.0232877 | + | 0.132071i | −0.994235 | − | 0.107222i | \(-0.965805\pi\) |
0.970947 | + | 0.239293i | \(0.0769157\pi\) | |||||||
\(350\) | −1.10542e6 | − | 927557.i | −0.482344 | − | 0.404735i | ||||
\(351\) | 382434. | + | 139195.i | 0.165687 | + | 0.0603051i | ||||
\(352\) | 194674. | + | 70855.6i | 0.0837436 | + | 0.0304802i | ||||
\(353\) | 490860. | + | 411880.i | 0.209663 | + | 0.175928i | 0.741572 | − | 0.670874i | \(-0.234081\pi\) |
−0.531909 | + | 0.846801i | \(0.678525\pi\) | |||||||
\(354\) | 50003.7 | − | 283585.i | 0.0212077 | − | 0.120275i | ||||
\(355\) | −47279.9 | + | 268137.i | −0.0199116 | + | 0.112924i | ||||
\(356\) | −503559. | − | 872189.i | −0.210584 | − | 0.364742i | ||||
\(357\) | 237440. | − | 199236.i | 0.0986014 | − | 0.0827364i | ||||
\(358\) | −661377. | + | 240722.i | −0.272735 | + | 0.0992676i | ||||
\(359\) | 401834. | − | 695997.i | 0.164555 | − | 0.285017i | −0.771942 | − | 0.635693i | \(-0.780715\pi\) |
0.936497 | + | 0.350675i | \(0.114048\pi\) | |||||||
\(360\) | −81759.5 | − | 141612.i | −0.0332493 | − | 0.0575894i | ||||
\(361\) | −20347.0 | − | 17073.2i | −0.00821736 | − | 0.00689519i | ||||
\(362\) | 264841. | − | 458718.i | 0.106222 | − | 0.183982i | ||||
\(363\) | −52314.0 | − | 296687.i | −0.0208378 | − | 0.118177i | ||||
\(364\) | 649001. | 0.256739 | ||||||||
\(365\) | −49349.6 | − | 279875.i | −0.0193888 | − | 0.109959i | ||||
\(366\) | −304953. | + | 255886.i | −0.118995 | + | 0.0998490i | ||||
\(367\) | −2.05043e6 | − | 746294.i | −0.794656 | − | 0.289231i | −0.0873859 | − | 0.996175i | \(-0.527851\pi\) |
−0.707270 | + | 0.706943i | \(0.750074\pi\) | |||||||
\(368\) | 626097. | − | 227881.i | 0.241003 | − | 0.0877179i | ||||
\(369\) | −1.15376e6 | −0.441111 | ||||||||
\(370\) | −357750. | − | 35742.9i | −0.135855 | − | 0.0135733i | ||||
\(371\) | −498770. | −0.188133 | ||||||||
\(372\) | −369523. | + | 134495.i | −0.138447 | + | 0.0503906i | ||||
\(373\) | 3.41143e6 | + | 1.24166e6i | 1.26959 | + | 0.462094i | 0.886977 | − | 0.461813i | \(-0.152801\pi\) |
0.382616 | + | 0.923907i | \(0.375023\pi\) | |||||||
\(374\) | −638914. | + | 536112.i | −0.236191 | + | 0.198188i | ||||
\(375\) | 28832.4 | + | 163516.i | 0.0105877 | + | 0.0600459i | ||||
\(376\) | 1.02464e6 | 0.373768 | ||||||||
\(377\) | −298377. | − | 1.69218e6i | −0.108122 | − | 0.613188i | ||||
\(378\) | 288538. | − | 499762.i | 0.103866 | − | 0.179901i | ||||
\(379\) | −709610. | − | 595434.i | −0.253759 | − | 0.212929i | 0.507030 | − | 0.861928i | \(-0.330743\pi\) |
−0.760789 | + | 0.648999i | \(0.775188\pi\) | |||||||
\(380\) | −135146. | − | 234080.i | −0.0480115 | − | 0.0831583i | ||||
\(381\) | −32530.9 | + | 56345.2i | −0.0114811 | + | 0.0198859i | ||||
\(382\) | −3.58781e6 | + | 1.30586e6i | −1.25797 | + | 0.457864i | ||||
\(383\) | 660324. | − | 554078.i | 0.230017 | − | 0.193007i | −0.520494 | − | 0.853866i | \(-0.674252\pi\) |
0.750511 | + | 0.660858i | \(0.229808\pi\) | |||||||
\(384\) | −20545.6 | − | 35586.1i | −0.00711036 | − | 0.0123155i | ||||
\(385\) | 45470.4 | − | 257875.i | 0.0156342 | − | 0.0886662i | ||||
\(386\) | −129189. | + | 732668.i | −0.0441324 | + | 0.250287i | ||||
\(387\) | 784677. | + | 658422.i | 0.266326 | + | 0.223474i | ||||
\(388\) | 1.91679e6 | + | 697656.i | 0.646392 | + | 0.235267i | ||||
\(389\) | 382022. | + | 139045.i | 0.128001 | + | 0.0465887i | 0.405227 | − | 0.914216i | \(-0.367193\pi\) |
−0.277225 | + | 0.960805i | \(0.589415\pi\) | |||||||
\(390\) | −28059.4 | − | 23544.6i | −0.00934149 | − | 0.00783844i | ||||
\(391\) | −465792. | + | 2.64164e6i | −0.154081 | + | 0.873839i | ||||
\(392\) | −26984.0 | + | 153034.i | −0.00886933 | + | 0.0503005i | ||||
\(393\) | −40109.7 | − | 69472.0i | −0.0130999 | − | 0.0226897i | ||||
\(394\) | −1.10918e6 | + | 930710.i | −0.359965 | + | 0.302046i | ||||
\(395\) | −280.483 | + | 102.088i | −9.04512e−5 | + | 3.29216e-5i | ||||
\(396\) | −383115. | + | 663574.i | −0.122770 | + | 0.212643i | ||||
\(397\) | −1.90919e6 | − | 3.30681e6i | −0.607957 | − | 1.05301i | −0.991577 | − | 0.129521i | \(-0.958656\pi\) |
0.383620 | − | 0.923491i | \(-0.374677\pi\) | |||||||
\(398\) | −1.41637e6 | − | 1.18847e6i | −0.448196 | − | 0.376081i | ||||
\(399\) | 235345. | − | 407630.i | 0.0740071 | − | 0.128184i | ||||
\(400\) | −133739. | − | 758474.i | −0.0417936 | − | 0.237023i | ||||
\(401\) | 4.84120e6 | 1.50346 | 0.751731 | − | 0.659470i | \(-0.229219\pi\) | ||||
0.751731 | + | 0.659470i | \(0.229219\pi\) | |||||||
\(402\) | 60312.5 | + | 342049.i | 0.0186141 | + | 0.105566i | ||||
\(403\) | 2.53934e6 | − | 2.13076e6i | 0.778859 | − | 0.653540i | ||||
\(404\) | −1.67971e6 | − | 611366.i | −0.512014 | − | 0.186358i | ||||
\(405\) | 552814. | − | 201208.i | 0.167472 | − | 0.0609547i | ||||
\(406\) | −2.43645e6 | −0.733571 | ||||||||
\(407\) | 693137. | + | 1.53552e6i | 0.207412 | + | 0.459484i | ||||
\(408\) | 165431. | 0.0492000 | ||||||||
\(409\) | −1.56959e6 | + | 571282.i | −0.463956 | + | 0.168866i | −0.563412 | − | 0.826176i | \(-0.690512\pi\) |
0.0994566 | + | 0.995042i | \(0.468290\pi\) | |||||||
\(410\) | 197749. | + | 71974.9i | 0.0580973 | + | 0.0211457i | ||||
\(411\) | −84749.8 | + | 71113.5i | −0.0247477 | + | 0.0207658i | ||||
\(412\) | −365829. | − | 2.07472e6i | −0.106178 | − | 0.602165i | ||||
\(413\) | 3.44196e6 | 0.992957 | ||||||||
\(414\) | 427920. | + | 2.42685e6i | 0.122705 | + | 0.695894i | ||||
\(415\) | 278310. | − | 482048.i | 0.0793248 | − | 0.137395i | ||||
\(416\) | 265348. | + | 222653.i | 0.0751766 | + | 0.0630806i | ||||
\(417\) | 179817. | + | 311452.i | 0.0506396 | + | 0.0877103i | ||||
\(418\) | −633278. | + | 1.09687e6i | −0.177278 | + | 0.307054i | ||||
\(419\) | −5.09349e6 | + | 1.85388e6i | −1.41736 | + | 0.515877i | −0.933281 | − | 0.359146i | \(-0.883068\pi\) |
−0.484080 | + | 0.875024i | \(0.660846\pi\) | |||||||
\(420\) | −39786.9 | + | 33385.1i | −0.0110057 | + | 0.00923485i | ||||
\(421\) | −3.24775e6 | − | 5.62527e6i | −0.893053 | − | 1.54681i | −0.836196 | − | 0.548431i | \(-0.815225\pi\) |
−0.0568576 | − | 0.998382i | \(-0.518108\pi\) | |||||||
\(422\) | 113625. | − | 644399.i | 0.0310594 | − | 0.176146i | ||||
\(423\) | −658079. | + | 3.73215e6i | −0.178825 | + | 1.01416i | ||||
\(424\) | −203925. | − | 171113.i | −0.0550878 | − | 0.0462242i | ||||
\(425\) | 2.91367e6 | + | 1.06049e6i | 0.782472 | + | 0.284796i | ||||
\(426\) | −237799. | − | 86551.7i | −0.0634871 | − | 0.0231074i | ||||
\(427\) | −3.64508e6 | − | 3.05858e6i | −0.967469 | − | 0.811803i | ||||
\(428\) | 317816. | − | 1.80242e6i | 0.0838621 | − | 0.475606i | ||||
\(429\) | −29804.7 | + | 169031.i | −0.00781882 | + | 0.0443428i | ||||
\(430\) | −93416.3 | − | 161802.i | −0.0243642 | − | 0.0422000i | ||||
\(431\) | −4.44673e6 | + | 3.73125e6i | −1.15305 | + | 0.967523i | −0.999787 | − | 0.0206626i | \(-0.993422\pi\) |
−0.153262 | + | 0.988186i | \(0.548978\pi\) | |||||||
\(432\) | 289424. | − | 105342.i | 0.0746148 | − | 0.0271576i | ||||
\(433\) | 1.10176e6 | − | 1.90831e6i | 0.282402 | − | 0.489135i | −0.689574 | − | 0.724215i | \(-0.742202\pi\) |
0.971976 | + | 0.235081i | \(0.0755355\pi\) | |||||||
\(434\) | −2.35017e6 | − | 4.07061e6i | −0.598928 | − | 1.03737i | ||||
\(435\) | 105339. | + | 88390.0i | 0.0266911 | + | 0.0223965i | ||||
\(436\) | −1.07055e6 | + | 1.85424e6i | −0.269706 | + | 0.467144i | ||||
\(437\) | 707340. | + | 4.01152e6i | 0.177184 | + | 1.00486i | ||||
\(438\) | 264138. | 0.0657879 | ||||||||
\(439\) | 1.00632e6 | + | 5.70715e6i | 0.249217 | + | 1.41338i | 0.810493 | + | 0.585749i | \(0.199200\pi\) |
−0.561276 | + | 0.827629i | \(0.689689\pi\) | |||||||
\(440\) | 107060. | − | 89834.3i | 0.0263631 | − | 0.0221213i | ||||
\(441\) | −540080. | − | 196573.i | −0.132240 | − | 0.0481313i | ||||
\(442\) | −1.31043e6 | + | 476957.i | −0.319049 | + | 0.116124i | ||||
\(443\) | 4.78489e6 | 1.15841 | 0.579205 | − | 0.815182i | \(-0.303363\pi\) | ||||
0.579205 | + | 0.815182i | \(0.303363\pi\) | |||||||
\(444\) | 90454.7 | − | 321684.i | 0.0217758 | − | 0.0774412i | ||||
\(445\) | −679410. | −0.162642 | ||||||||
\(446\) | −5.28495e6 | + | 1.92357e6i | −1.25807 | + | 0.457899i | ||||
\(447\) | 915960. | + | 333382.i | 0.216824 | + | 0.0789175i | ||||
\(448\) | 376251. | − | 315712.i | 0.0885692 | − | 0.0743184i | ||||
\(449\) | −738624. | − | 4.18895e6i | −0.172905 | − | 0.980593i | −0.940534 | − | 0.339699i | \(-0.889675\pi\) |
0.767629 | − | 0.640894i | \(-0.221436\pi\) | |||||||
\(450\) | 2.84856e6 | 0.663123 | ||||||||
\(451\) | −171234. | − | 971117.i | −0.0396414 | − | 0.224817i | ||||
\(452\) | −1.51621e6 | + | 2.62616e6i | −0.349071 | + | 0.604609i | ||||
\(453\) | −250948. | − | 210570.i | −0.0574563 | − | 0.0482115i | ||||
\(454\) | 1.28463e6 | + | 2.22505e6i | 0.292509 | + | 0.506641i | ||||
\(455\) | 218911. | − | 379165.i | 0.0495723 | − | 0.0858618i | ||||
\(456\) | 236068. | − | 85921.9i | 0.0531650 | − | 0.0193505i | ||||
\(457\) | 3.38601e6 | − | 2.84120e6i | 0.758400 | − | 0.636373i | −0.179310 | − | 0.983793i | \(-0.557387\pi\) |
0.937710 | + | 0.347420i | \(0.112942\pi\) | |||||||
\(458\) | −293916. | − | 509077.i | −0.0654725 | − | 0.113402i | ||||
\(459\) | −215320. | + | 1.22114e6i | −0.0477038 | + | 0.270542i | ||||
\(460\) | 78051.0 | − | 442649.i | 0.0171982 | − | 0.0975360i | ||||
\(461\) | −4.73438e6 | − | 3.97262e6i | −1.03756 | − | 0.870612i | −0.0458247 | − | 0.998949i | \(-0.514592\pi\) |
−0.991731 | + | 0.128337i | \(0.959036\pi\) | |||||||
\(462\) | 228698. | + | 83239.2i | 0.0498491 | + | 0.0181436i | ||||
\(463\) | −1.63975e6 | − | 596821.i | −0.355489 | − | 0.129387i | 0.158102 | − | 0.987423i | \(-0.449463\pi\) |
−0.513590 | + | 0.858036i | \(0.671685\pi\) | |||||||
\(464\) | −996156. | − | 835874.i | −0.214799 | − | 0.180238i | ||||
\(465\) | −46065.7 | + | 261251.i | −0.00987973 | + | 0.0560307i | ||||
\(466\) | 530519. | − | 3.00873e6i | 0.113171 | − | 0.641827i | ||||
\(467\) | −2.53715e6 | − | 4.39448e6i | −0.538337 | − | 0.932427i | −0.998994 | − | 0.0448489i | \(-0.985719\pi\) |
0.460657 | − | 0.887578i | \(-0.347614\pi\) | |||||||
\(468\) | −981414. | + | 823504.i | −0.207127 | + | 0.173801i | ||||
\(469\) | −3.90119e6 | + | 1.41992e6i | −0.818964 | + | 0.298078i | ||||
\(470\) | 345616. | − | 598624.i | 0.0721687 | − | 0.125000i | ||||
\(471\) | −465792. | − | 806775.i | −0.0967475 | − | 0.167572i | ||||
\(472\) | 1.40726e6 | + | 1.18084e6i | 0.290751 | + | 0.243969i | ||||
\(473\) | −437737. | + | 758182.i | −0.0899622 | + | 0.155819i | ||||
\(474\) | −48.1736 | − | 273.206i | −9.84835e−6 | − | 5.58528e-5i | ||||
\(475\) | 4.70860e6 | 0.957541 | ||||||||
\(476\) | 343368. | + | 1.94734e6i | 0.0694612 | + | 0.393934i | ||||
\(477\) | 754235. | − | 632878.i | 0.151779 | − | 0.127357i | ||||
\(478\) | 1.81446e6 | + | 660409.i | 0.363226 | + | 0.132204i | ||||
\(479\) | 1.86765e6 | − | 679769.i | 0.371926 | − | 0.135370i | −0.149293 | − | 0.988793i | \(-0.547700\pi\) |
0.521219 | + | 0.853423i | \(0.325477\pi\) | |||||||
\(480\) | −27720.6 | −0.00549160 | ||||||||
\(481\) | 210935. | + | 2.80896e6i | 0.0415705 | + | 0.553583i | ||||
\(482\) | 564458. | 0.110666 | ||||||||
\(483\) | 735522. | − | 267708.i | 0.143459 | − | 0.0522148i | ||||
\(484\) | 1.80602e6 | + | 657339.i | 0.350437 | + | 0.127549i | ||||
\(485\) | 1.05413e6 | − | 884523.i | 0.203489 | − | 0.170748i | ||||
\(486\) | 298017. | + | 1.69014e6i | 0.0572334 | + | 0.324587i | ||||
\(487\) | −7.54640e6 | −1.44184 | −0.720920 | − | 0.693018i | \(-0.756281\pi\) | ||||
−0.720920 | + | 0.693018i | \(0.756281\pi\) | |||||||
\(488\) | −441001. | − | 2.50104e6i | −0.0838281 | − | 0.475413i | ||||
\(489\) | −609180. | + | 1.05513e6i | −0.115205 | + | 0.199542i | ||||
\(490\) | 80304.9 | + | 67383.8i | 0.0151096 | + | 0.0126784i | ||||
\(491\) | 287775. | + | 498440.i | 0.0538702 | + | 0.0933060i | 0.891703 | − | 0.452621i | \(-0.149511\pi\) |
−0.837833 | + | 0.545927i | \(0.816178\pi\) | |||||||
\(492\) | −97795.1 | + | 169386.i | −0.0182140 | + | 0.0315475i | ||||
\(493\) | 4.91955e6 | − | 1.79057e6i | 0.911608 | − | 0.331798i | ||||
\(494\) | −1.62225e6 | + | 1.36123e6i | −0.299089 | + | 0.250966i | ||||
\(495\) | 258453. | + | 447653.i | 0.0474098 | + | 0.0821162i | ||||
\(496\) | 435628. | − | 2.47057e6i | 0.0795081 | − | 0.450913i | ||||
\(497\) | 525252. | − | 2.97885e6i | 0.0953843 | − | 0.540951i | ||||
\(498\) | 396307. | + | 332541.i | 0.0716074 | + | 0.0600857i | ||||
\(499\) | −6.88858e6 | − | 2.50724e6i | −1.23845 | − | 0.450759i | −0.361966 | − | 0.932191i | \(-0.617894\pi\) |
−0.876483 | + | 0.481433i | \(0.840117\pi\) | |||||||
\(500\) | −995373. | − | 362286.i | −0.178058 | − | 0.0648077i | ||||
\(501\) | 783516. | + | 657448.i | 0.139461 | + | 0.117022i | ||||
\(502\) | 105054. | − | 595792.i | 0.0186061 | − | 0.105520i | ||||
\(503\) | −1.07364e6 | + | 6.08891e6i | −0.189207 | + | 1.07305i | 0.731222 | + | 0.682140i | \(0.238950\pi\) |
−0.920429 | + | 0.390909i | \(0.872161\pi\) | |||||||
\(504\) | 908302. | + | 1.57322e6i | 0.159277 | + | 0.275876i | ||||
\(505\) | −923753. | + | 775121.i | −0.161186 | + | 0.135251i | ||||
\(506\) | −1.97918e6 | + | 720361.i | −0.343643 | + | 0.125076i | ||||
\(507\) | 322113. | − | 557917.i | 0.0556530 | − | 0.0963939i | ||||
\(508\) | −207533. | − | 359457.i | −0.0356802 | − | 0.0617999i | ||||
\(509\) | 6.23301e6 | + | 5.23012e6i | 1.06636 | + | 0.894782i | 0.994718 | − | 0.102649i | \(-0.0327318\pi\) |
0.0716417 | + | 0.997430i | \(0.477176\pi\) | |||||||
\(510\) | 55800.5 | − | 96649.2i | 0.00949975 | − | 0.0164541i | ||||
\(511\) | 548246. | + | 3.10926e6i | 0.0928802 | + | 0.526750i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | 326980. | + | 1.85439e6i | 0.0548564 | + | 0.311106i | ||||
\(514\) | 4.49366e6 | − | 3.77063e6i | 0.750227 | − | 0.629515i | ||||
\(515\) | −1.33550e6 | − | 486084.i | −0.221885 | − | 0.0807594i | ||||
\(516\) | 163176. | − | 59391.2i | 0.0269794 | − | 0.00981969i | ||||
\(517\) | −3.23902e6 | −0.532952 | ||||||||
\(518\) | 3.97440e6 | + | 397084.i | 0.650799 | + | 0.0650216i | ||||
\(519\) | −558486. | −0.0910110 | ||||||||
\(520\) | 219584. | − | 79921.9i | 0.0356116 | − | 0.0129616i | ||||
\(521\) | 7.16710e6 | + | 2.60861e6i | 1.15678 | + | 0.421032i | 0.847945 | − | 0.530085i | \(-0.177840\pi\) |
0.308831 | + | 0.951117i | \(0.400062\pi\) | |||||||
\(522\) | 3.68438e6 | − | 3.09156e6i | 0.591817 | − | 0.496594i | ||||
\(523\) | −1.36543e6 | − | 7.74372e6i | −0.218280 | − | 1.23793i | −0.875123 | − | 0.483901i | \(-0.839220\pi\) |
0.656843 | − | 0.754028i | \(-0.271892\pi\) | |||||||
\(524\) | 511763. | 0.0814219 | ||||||||
\(525\) | −157113. | − | 891034.i | −0.0248780 | − | 0.141090i | ||||
\(526\) | 987305. | − | 1.71006e6i | 0.155592 | − | 0.269493i | ||||
\(527\) | 7.73687e6 | + | 6.49200e6i | 1.21350 | + | 1.01824i | ||||
\(528\) | 64947.5 | + | 112492.i | 0.0101386 | + | 0.0175606i | ||||
\(529\) | −168725. | + | 292240.i | −0.0262144 | + | 0.0454047i | ||||
\(530\) | −168754. | + | 61421.5i | −0.0260954 | + | 0.00949796i | ||||
\(531\) | −5.20490e6 | + | 4.36743e6i | −0.801080 | + | 0.672186i | ||||
\(532\) | 1.50140e6 | + | 2.60050e6i | 0.229994 | + | 0.398361i | ||||
\(533\) | 286305. | − | 1.62372e6i | 0.0436527 | − | 0.247567i | ||||
\(534\) | 109653. | − | 621872.i | 0.0166405 | − | 0.0943731i | ||||
\(535\) | −945825. | − | 793642.i | −0.142865 | − | 0.119878i | ||||
\(536\) | −2.08216e6 | − | 757843.i | −0.313041 | − | 0.113938i | ||||
\(537\) | −414686. | − | 150933.i | −0.0620559 | − | 0.0225865i | ||||
\(538\) | −1.89690e6 | − | 1.59169e6i | −0.282546 | − | 0.237085i | ||||
\(539\) | 85299.9 | − | 483760.i | 0.0126467 | − | 0.0717229i | ||||
\(540\) | 36080.4 | − | 204622.i | 0.00532459 | − | 0.0301973i | ||||
\(541\) | −5.88780e6 | − | 1.01980e7i | −0.864888 | − | 1.49803i | −0.867159 | − | 0.498032i | \(-0.834056\pi\) |
0.00227115 | − | 0.999997i | \(-0.499277\pi\) | |||||||
\(542\) | 6.58765e6 | − | 5.52769e6i | 0.963234 | − | 0.808250i | ||||
\(543\) | 312083. | − | 113589.i | 0.0454225 | − | 0.0165324i | ||||
\(544\) | −527686. | + | 913979.i | −0.0764502 | + | 0.132416i | ||||
\(545\) | 722202. | + | 1.25089e6i | 0.104152 | + | 0.180396i | ||||
\(546\) | 311723. | + | 261567.i | 0.0447495 | + | 0.0375493i | ||||
\(547\) | −5.63689e6 | + | 9.76337e6i | −0.805510 | + | 1.39518i | 0.110436 | + | 0.993883i | \(0.464775\pi\) |
−0.915946 | + | 0.401301i | \(0.868558\pi\) | |||||||
\(548\) | −122559. | − | 695066.i | −0.0174339 | − | 0.0988723i | ||||
\(549\) | 9.39303e6 | 1.33007 | ||||||||
\(550\) | 422768. | + | 2.39764e6i | 0.0595930 | + | 0.337969i | ||||
\(551\) | 6.09017e6 | − | 5.11026e6i | 0.854576 | − | 0.717074i | ||||
\(552\) | 392565. | + | 142882.i | 0.0548358 | + | 0.0199586i | ||||
\(553\) | 3116.01 | − | 1134.13i | 0.000433297 | − | 0.000157707i | ||||
\(554\) | 6.81192e6 | 0.942964 | ||||||||
\(555\) | −157426. | − | 161352.i | −0.0216943 | − | 0.0222352i | ||||
\(556\) | −2.29430e6 | −0.314748 | ||||||||
\(557\) | −1.02556e7 | + | 3.73273e6i | −1.40063 | + | 0.509786i | −0.928364 | − | 0.371672i | \(-0.878785\pi\) |
−0.472262 | + | 0.881458i | \(0.656562\pi\) | |||||||
\(558\) | 8.71902e6 | + | 3.17346e6i | 1.18545 | + | 0.431467i | ||||
\(559\) | −1.12134e6 | + | 940914.i | −0.151777 | + | 0.127356i | ||||
\(560\) | −57536.8 | − | 326308.i | −0.00775311 | − | 0.0439701i | ||||
\(561\) | −522948. | −0.0701538 | ||||||||
\(562\) | 621715. | + | 3.52592e6i | 0.0830330 | + | 0.470903i | ||||
\(563\) | 5.76456e6 | − | 9.98451e6i | 0.766470 | − | 1.32756i | −0.172996 | − | 0.984923i | \(-0.555345\pi\) |
0.939466 | − | 0.342642i | \(-0.111322\pi\) | |||||||
\(564\) | 492148. | + | 412961.i | 0.0651475 | + | 0.0546652i | ||||
\(565\) | 1.02285e6 | + | 1.77163e6i | 0.134800 | + | 0.233481i | ||||
\(566\) | −1.88144e6 | + | 3.25876e6i | −0.246860 | + | 0.427574i | ||||
\(567\) | −6.14144e6 | + | 2.23530e6i | −0.802256 | + | 0.291997i | ||||
\(568\) | 1.23671e6 | − | 1.03772e6i | 0.160841 | − | 0.134962i | ||||
\(569\) | 369142. | + | 639374.i | 0.0477984 | + | 0.0827893i | 0.888935 | − | 0.458034i | \(-0.151446\pi\) |
−0.841136 | + | 0.540823i | \(0.818113\pi\) | |||||||
\(570\) | 29428.9 | − | 166900.i | 0.00379391 | − | 0.0215163i | ||||
\(571\) | 942489. | − | 5.34512e6i | 0.120972 | − | 0.686068i | −0.862647 | − | 0.505807i | \(-0.831195\pi\) |
0.983619 | − | 0.180261i | \(-0.0576942\pi\) | |||||||
\(572\) | −838800. | − | 703837.i | −0.107193 | − | 0.0899460i | ||||
\(573\) | −2.24957e6 | − | 818776.i | −0.286228 | − | 0.104179i | ||||
\(574\) | −2.19688e6 | − | 799600.i | −0.278309 | − | 0.101296i | ||||
\(575\) | 5.99818e6 | + | 5.03307e6i | 0.756571 | + | 0.634838i | ||||
\(576\) | −168363. | + | 954834.i | −0.0211442 | + | 0.119914i | ||||
\(577\) | 701822. | − | 3.98023e6i | 0.0877582 | − | 0.497701i | −0.908969 | − | 0.416864i | \(-0.863129\pi\) |
0.996727 | − | 0.0808379i | \(-0.0257596\pi\) | |||||||
\(578\) | 715288. | + | 1.23891e6i | 0.0890556 | + | 0.154249i | ||||
\(579\) | −357338. | + | 299843.i | −0.0442979 | + | 0.0371704i | ||||
\(580\) | −824350. | + | 300039.i | −0.101752 | + | 0.0370346i | ||||
\(581\) | −3.09187e6 | + | 5.35527e6i | −0.379998 | + | 0.658175i | ||||
\(582\) | 639484. | + | 1.10762e6i | 0.0782568 | + | 0.135545i | ||||
\(583\) | 644634. | + | 540912.i | 0.0785492 | + | 0.0659106i | ||||
\(584\) | −842542. | + | 1.45932e6i | −0.102225 | + | 0.177060i | ||||
\(585\) | 150079. | + | 851141.i | 0.0181314 | + | 0.102828i | ||||
\(586\) | 2.89604e6 | 0.348386 | ||||||||
\(587\) | 1.33971e6 | + | 7.59790e6i | 0.160479 | + | 0.910119i | 0.953605 | + | 0.301062i | \(0.0973411\pi\) |
−0.793126 | + | 0.609058i | \(0.791548\pi\) | |||||||
\(588\) | −74638.0 | + | 62628.7i | −0.00890259 | + | 0.00747016i | ||||
\(589\) | 1.44123e7 | + | 5.24565e6i | 1.71177 | + | 0.623033i | ||||
\(590\) | 1.16455e6 | − | 423863.i | 0.137730 | − | 0.0501297i | ||||
\(591\) | −907855. | −0.106917 | ||||||||
\(592\) | 1.48873e6 | + | 1.52585e6i | 0.174587 | + | 0.178940i | ||||
\(593\) | 6.59070e6 | 0.769653 | 0.384826 | − | 0.922989i | \(-0.374261\pi\) | ||||
0.384826 | + | 0.922989i | \(0.374261\pi\) | |||||||
\(594\) | −914907. | + | 332999.i | −0.106392 | + | 0.0387237i | ||||
\(595\) | 1.25351e6 | + | 456240.i | 0.145156 | + | 0.0528325i | ||||
\(596\) | −4.76359e6 | + | 3.99713e6i | −0.549312 | + | 0.460927i | ||||
\(597\) | −201308. | − | 1.14168e6i | −0.0231167 | − | 0.131101i | ||||
\(598\) | −3.52158e6 | −0.402703 | ||||||||
\(599\) | −333181. | − | 1.88956e6i | −0.0379413 | − | 0.215176i | 0.959943 | − | 0.280197i | \(-0.0903997\pi\) |
−0.997884 | + | 0.0650208i | \(0.979289\pi\) | |||||||
\(600\) | 241451. | − | 418206.i | 0.0273811 | − | 0.0474255i | ||||
\(601\) | −1.24634e7 | − | 1.04581e7i | −1.40751 | − | 1.18104i | −0.957647 | − | 0.287945i | \(-0.907028\pi\) |
−0.449864 | − | 0.893097i | \(-0.648527\pi\) | |||||||
\(602\) | 1.03780e6 | + | 1.79752e6i | 0.116714 | + | 0.202155i | ||||
\(603\) | 4.09764e6 | − | 7.09732e6i | 0.458924 | − | 0.794879i | ||||
\(604\) | 1.96383e6 | − | 714777.i | 0.219035 | − | 0.0797221i | ||||
\(605\) | 993216. | − | 833407.i | 0.110320 | − | 0.0925697i | ||||
\(606\) | −560389. | − | 970622.i | −0.0619881 | − | 0.107366i | ||||
\(607\) | −1.44082e6 | + | 8.17127e6i | −0.158722 | + | 0.900156i | 0.796582 | + | 0.604530i | \(0.206639\pi\) |
−0.955304 | + | 0.295626i | \(0.904472\pi\) | |||||||
\(608\) | −278299. | + | 1.57831e6i | −0.0305319 | + | 0.173155i | ||||
\(609\) | −1.17026e6 | − | 981962.i | −0.127861 | − | 0.107288i | ||||
\(610\) | −1.60993e6 | − | 585967.i | −0.175179 | − | 0.0637600i | ||||
\(611\) | −5.08908e6 | − | 1.85227e6i | −0.551488 | − | 0.200725i | ||||
\(612\) | −2.99017e6 | − | 2.50905e6i | −0.322714 | − | 0.270789i | ||||
\(613\) | −1.15259e6 | + | 6.53666e6i | −0.123886 | + | 0.702595i | 0.858077 | + | 0.513522i | \(0.171659\pi\) |
−0.981963 | + | 0.189073i | \(0.939452\pi\) | |||||||
\(614\) | 634915. | − | 3.60078e6i | 0.0679664 | − | 0.385457i | ||||
\(615\) | 65973.5 | + | 114269.i | 0.00703366 | + | 0.0121827i | ||||
\(616\) | −1.18938e6 | + | 998007.i | −0.126290 | + | 0.105970i | ||||
\(617\) | −1.58829e7 | + | 5.78091e6i | −1.67965 | + | 0.611341i | −0.993261 | − | 0.115898i | \(-0.963026\pi\) |
−0.686385 | + | 0.727239i | \(0.740803\pi\) | |||||||
\(618\) | 660461. | − | 1.14395e6i | 0.0695627 | − | 0.120486i | ||||
\(619\) | −5.27879e6 | − | 9.14313e6i | −0.553742 | − | 0.959110i | −0.998000 | − | 0.0632107i | \(-0.979866\pi\) |
0.444258 | − | 0.895899i | \(-0.353467\pi\) | |||||||
\(620\) | −1.29644e6 | − | 1.08784e6i | −0.135448 | − | 0.113654i | ||||
\(621\) | −1.56565e6 | + | 2.71178e6i | −0.162917 | + | 0.282180i | ||||
\(622\) | −1.39511e6 | − | 7.91205e6i | −0.144588 | − | 0.819999i | ||||
\(623\) | 7.54786e6 | 0.779119 | ||||||||
\(624\) | 37714.0 | + | 213886.i | 0.00387740 | + | 0.0219898i | ||||
\(625\) | 6.65460e6 | − | 5.58387e6i | 0.681431 | − | 0.571789i | ||||
\(626\) | −1.71837e6 | − | 625437.i | −0.175260 | − | 0.0637893i | ||||
\(627\) | −746243. | + | 271610.i | −0.0758074 | + | 0.0275916i | ||||
\(628\) | 5.94309e6 | 0.601330 | ||||||||
\(629\) | −8.31671e6 | + | 2.11905e6i | −0.838156 | + | 0.213557i | ||||
\(630\) | 1.22550e6 | 0.123016 | ||||||||
\(631\) | −7.58685e6 | + | 2.76139e6i | −0.758557 | + | 0.276092i | −0.692202 | − | 0.721704i | \(-0.743359\pi\) |
−0.0663550 | + | 0.997796i | \(0.521137\pi\) | |||||||
\(632\) | 1663.09 | + | 605.314i | 0.000165624 | + | 6.02821e-5i | ||||
\(633\) | 314288. | − | 263719.i | 0.0311758 | − | 0.0261596i | ||||
\(634\) | −1.90411e6 | − | 1.07987e7i | −0.188134 | − | 1.06696i | ||||
\(635\) | −280007. | −0.0275572 | ||||||||
\(636\) | −28983.9 | − | 164376.i | −0.00284128 | − | 0.0161137i | ||||
\(637\) | 410665. | − | 711293.i | 0.0400995 | − | 0.0694544i | ||||
\(638\) | 3.14898e6 | + | 2.64231e6i | 0.306280 | + | 0.256999i | ||||
\(639\) | 2.98552e6 | + | 5.17108e6i | 0.289247 | + | 0.500990i | ||||
\(640\) | 88422.3 | − | 153152.i | 0.00853320 | − | 0.0147799i | ||||
\(641\) | −1.73913e7 | + | 6.32990e6i | −1.67181 | + | 0.608488i | −0.992151 | − | 0.125043i | \(-0.960093\pi\) |
−0.679656 | + | 0.733531i | \(0.737871\pi\) | |||||||
\(642\) | 879081. | − | 737637.i | 0.0841766 | − | 0.0706325i | ||||
\(643\) | −8.34353e6 | − | 1.44514e7i | −0.795834 | − | 1.37843i | −0.922308 | − | 0.386455i | \(-0.873699\pi\) |
0.126474 | − | 0.991970i | \(-0.459634\pi\) | |||||||
\(644\) | −867101. | + | 4.91758e6i | −0.0823863 | + | 0.467236i | ||||
\(645\) | 20342.0 | − | 115365.i | 0.00192528 | − | 0.0109188i | ||||
\(646\) | −4.94267e6 | − | 4.14739e6i | −0.465994 | − | 0.391016i | ||||
\(647\) | 4.73540e6 | + | 1.72354e6i | 0.444729 | + | 0.161868i | 0.554671 | − | 0.832070i | \(-0.312844\pi\) |
−0.109942 | + | 0.993938i | \(0.535066\pi\) | |||||||
\(648\) | −3.27783e6 | − | 1.19303e6i | −0.306654 | − | 0.111613i | ||||
\(649\) | −4.44855e6 | − | 3.73278e6i | −0.414578 | − | 0.347873i | ||||
\(650\) | −706873. | + | 4.00888e6i | −0.0656233 | + | 0.372168i | ||||
\(651\) | 511763. | − | 2.90235e6i | 0.0473278 | − | 0.268410i | ||||
\(652\) | −3.88629e6 | − | 6.73125e6i | −0.358027 | − | 0.620122i | ||||
\(653\) | 4.44455e6 | − | 3.72942e6i | 0.407892 | − | 0.342262i | −0.415643 | − | 0.909528i | \(-0.636443\pi\) |
0.823535 | + | 0.567266i | \(0.191999\pi\) | |||||||
\(654\) | −1.26151e6 | + | 459154.i | −0.115331 | + | 0.0419772i | ||||
\(655\) | 172620. | − | 298987.i | 0.0157213 | − | 0.0272301i | ||||
\(656\) | −623889. | − | 1.08061e6i | −0.0566041 | − | 0.0980411i | ||||
\(657\) | −4.77432e6 | − | 4.00613e6i | −0.431517 | − | 0.362086i | ||||
\(658\) | −3.83959e6 | + | 6.65037e6i | −0.345717 | + | 0.598799i | ||||
\(659\) | −1.16304e6 | − | 6.59591e6i | −0.104323 | − | 0.591645i | −0.991489 | − | 0.130194i | \(-0.958440\pi\) |
0.887166 | − | 0.461451i | \(-0.152671\pi\) | |||||||
\(660\) | 87628.3 | 0.00783041 | ||||||||
\(661\) | 1.42402e6 | + | 8.07600e6i | 0.126768 | + | 0.718940i | 0.980242 | + | 0.197803i | \(0.0633807\pi\) |
−0.853473 | + | 0.521137i | \(0.825508\pi\) | |||||||
\(662\) | −1.84232e6 | + | 1.54589e6i | −0.163388 | + | 0.137099i | ||||
\(663\) | −821644. | − | 299054.i | −0.0725938 | − | 0.0264220i | ||||
\(664\) | −3.10137e6 | + | 1.12881e6i | −0.272981 | + | 0.0993571i | ||||
\(665\) | 2.02571e6 | 0.177633 | ||||||||
\(666\) | −6.51390e6 | + | 4.44256e6i | −0.569056 | + | 0.388104i | ||||
\(667\) | 1.32206e7 | 1.15063 | ||||||||
\(668\) | −6.13155e6 | + | 2.23170e6i | −0.531654 | + | 0.193506i | ||||
\(669\) | −3.31368e6 | − | 1.20608e6i | −0.286250 | − | 0.104187i | ||||
\(670\) | −1.14507e6 | + | 960831.i | −0.0985477 | + | 0.0826913i | ||||
\(671\) | 1.39406e6 | + | 7.90612e6i | 0.119530 | + | 0.677886i | ||||
\(672\) | 307960. | 0.0263069 | ||||||||
\(673\) | −3.29384e6 | − | 1.86803e7i | −0.280327 | − | 1.58981i | −0.721515 | − | 0.692399i | \(-0.756554\pi\) |
0.441188 | − | 0.897415i | \(-0.354557\pi\) | |||||||
\(674\) | 1.08270e6 | − | 1.87529e6i | 0.0918033 | − | 0.159008i | ||||
\(675\) | 2.77276e6 | + | 2.32662e6i | 0.234235 | + | 0.196547i | ||||
\(676\) | 2.05494e6 | + | 3.55926e6i | 0.172955 | + | 0.299566i | ||||
\(677\) | −2.69289e6 | + | 4.66422e6i | −0.225812 | + | 0.391118i | −0.956563 | − | 0.291527i | \(-0.905837\pi\) |
0.730751 | + | 0.682644i | \(0.239170\pi\) | |||||||
\(678\) | −1.78668e6 | + | 650297.i | −0.149270 | + | 0.0543297i | ||||
\(679\) | −1.17108e7 | + | 9.82654e6i | −0.974794 | + | 0.817949i | ||||
\(680\) | 355982. | + | 616579.i | 0.0295227 | + | 0.0511348i | ||||
\(681\) | −279737. | + | 1.58647e6i | −0.0231144 | + | 0.131088i | ||||
\(682\) | −1.37708e6 | + | 7.80979e6i | −0.113370 | + | 0.642952i | ||||
\(683\) | −5.55233e6 | − | 4.65896e6i | −0.455432 | − | 0.382153i | 0.386015 | − | 0.922492i | \(-0.373851\pi\) |
−0.841447 | + | 0.540340i | \(0.818296\pi\) | |||||||
\(684\) | −5.57012e6 | − | 2.02736e6i | −0.455223 | − | 0.165688i | ||||
\(685\) | −447417. | − | 162847.i | −0.0364323 | − | 0.0132603i | ||||
\(686\) | −7.06758e6 | − | 5.93040e6i | −0.573404 | − | 0.481143i | ||||
\(687\) | 64001.9 | − | 362973.i | 0.00517370 | − | 0.0293415i | ||||
\(688\) | −192367. | + | 1.09097e6i | −0.0154939 | + | 0.0878700i | ||||
\(689\) | 703507. | + | 1.21851e6i | 0.0564573 | + | 0.0977869i | ||||
\(690\) | 215890. | − | 181153.i | 0.0172627 | − | 0.0144851i | ||||
\(691\) | 2.09066e7 | − | 7.60940e6i | 1.66567 | − | 0.606255i | 0.674432 | − | 0.738337i | \(-0.264388\pi\) |
0.991239 | + | 0.132082i | \(0.0421662\pi\) | |||||||
\(692\) | 1.78145e6 | − | 3.08555e6i | 0.141419 | − | 0.244945i | ||||
\(693\) | −2.87126e6 | − | 4.97317e6i | −0.227112 | − | 0.393369i | ||||
\(694\) | 1.22553e6 | + | 1.02834e6i | 0.0965881 | + | 0.0810470i | ||||
\(695\) | −773878. | + | 1.34040e6i | −0.0607729 | + | 0.105262i | ||||
\(696\) | −141584. | − | 802962.i | −0.0110787 | − | 0.0628307i | ||||
\(697\) | 5.02346e6 | 0.391671 | ||||||||
\(698\) | −211959. | − | 1.20208e6i | −0.0164669 | − | 0.0933886i | ||||
\(699\) | 1.46742e6 | − | 1.23131e6i | 0.113596 | − | 0.0953181i | ||||
\(700\) | 5.42399e6 | + | 1.97417e6i | 0.418383 | + | 0.152279i | ||||
\(701\) | 4.99004e6 | − | 1.81623e6i | 0.383539 | − | 0.139597i | −0.143053 | − | 0.989715i | \(-0.545692\pi\) |
0.526592 | + | 0.850118i | \(0.323470\pi\) | |||||||
\(702\) | −1.62791e6 | −0.124677 | ||||||||
\(703\) | −1.07673e7 | + | 7.34343e6i | −0.821709 | + | 0.560416i | ||||
\(704\) | −828672. | −0.0630160 | ||||||||
\(705\) | 407267. | − | 148233.i | 0.0308608 | − | 0.0112324i | ||||
\(706\) | −2.40852e6 | − | 876628.i | −0.181860 | − | 0.0661917i | ||||
\(707\) | 1.02624e7 | − | 8.61115e6i | 0.772145 | − | 0.647907i | ||||
\(708\) | 200015. | + | 1.13434e6i | 0.0149961 | + | 0.0850472i | ||||
\(709\) | 1.41130e7 | 1.05439 | 0.527196 | − | 0.849743i | \(-0.323243\pi\) | ||||
0.527196 | + | 0.849743i | \(0.323243\pi\) | |||||||
\(710\) | −189119. | − | 1.07255e6i | −0.0140796 | − | 0.0798494i | ||||
\(711\) | −3272.92 | + | 5668.87i | −0.000242807 | + | 0.000420555i | ||||
\(712\) | 3.08599e6 | + | 2.58945e6i | 0.228136 | + | 0.191429i | ||||
\(713\) | 1.27524e7 | + | 2.20878e7i | 0.939437 | + | 1.62715i | ||||
\(714\) | −619911. | + | 1.07372e6i | −0.0455076 | + | 0.0788215i | ||||
\(715\) | −694132. | + | 252644.i | −0.0507782 | + | 0.0184818i | ||||
\(716\) | 2.15664e6 | − | 1.80963e6i | 0.157215 | − | 0.131919i | ||||
\(717\) | 605343. | + | 1.04848e6i | 0.0439748 | + | 0.0761665i | ||||
\(718\) | −558222. | + | 3.16583e6i | −0.0404106 | + | 0.229180i | ||||
\(719\) | −232727. | + | 1.31986e6i | −0.0167890 | + | 0.0952150i | −0.992051 | − | 0.125838i | \(-0.959838\pi\) |
0.975262 | + | 0.221053i | \(0.0709493\pi\) | |||||||
\(720\) | 501051. | + | 420432.i | 0.0360206 | + | 0.0302249i | ||||
\(721\) | 1.48367e7 | + | 5.40011e6i | 1.06292 | + | 0.386870i | ||||
\(722\) | 99837.2 | + | 36337.8i | 0.00712770 | + | 0.00259427i | ||||
\(723\) | 271116. | + | 227493.i | 0.0192890 | + | 0.0161854i | ||||
\(724\) | −367913. | + | 2.08654e6i | −0.0260855 | + | 0.147938i | ||||
\(725\) | 2.65371e6 | − | 1.50499e7i | 0.187503 | − | 1.06338i | ||||
\(726\) | 602529. | + | 1.04361e6i | 0.0424264 | + | 0.0734847i | ||||
\(727\) | 2.06273e6 | − | 1.73084e6i | 0.144746 | − | 0.121456i | −0.567539 | − | 0.823346i | \(-0.692105\pi\) |
0.712286 | + | 0.701890i | \(0.247660\pi\) | |||||||
\(728\) | −2.43945e6 | + | 887886.i | −0.170594 | + | 0.0620910i | ||||
\(729\) | 6.08409e6 | − | 1.05379e7i | 0.424010 | − | 0.734408i | ||||
\(730\) | 568386. | + | 984473.i | 0.0394763 | + | 0.0683749i | ||||
\(731\) | −3.41649e6 | − | 2.86678e6i | −0.236476 | − | 0.198427i | ||||
\(732\) | 796176. | − | 1.37902e6i | 0.0549201 | − | 0.0951244i | ||||
\(733\) | 2.79685e6 | + | 1.58617e7i | 0.192269 | + | 1.09041i | 0.916254 | + | 0.400597i | \(0.131197\pi\) |
−0.723985 | + | 0.689816i | \(0.757691\pi\) | |||||||
\(734\) | 8.72808e6 | 0.597969 | ||||||||
\(735\) | 11413.7 | + | 64730.6i | 0.000779309 | + | 0.00441968i | ||||
\(736\) | −2.04160e6 | + | 1.71310e6i | −0.138923 | + | 0.116571i | ||||
\(737\) | 6.58197e6 | + | 2.39564e6i | 0.446362 | + | 0.162462i | ||||
\(738\) | 4.33670e6 | − | 1.57843e6i | 0.293102 | − | 0.106680i | ||||
\(739\) | 1.49651e7 | 1.00802 | 0.504011 | − | 0.863697i | \(-0.331857\pi\) | ||||
0.504011 | + | 0.863697i | \(0.331857\pi\) | |||||||
\(740\) | 1.39360e6 | − | 355081.i | 0.0935532 | − | 0.0238368i | ||||
\(741\) | −1.32780e6 | −0.0888359 | ||||||||
\(742\) | 1.87476e6 | − | 682357.i | 0.125008 | − | 0.0454990i | ||||
\(743\) | 2.17263e7 | + | 7.90772e6i | 1.44382 | + | 0.525508i | 0.940859 | − | 0.338800i | \(-0.110021\pi\) |
0.502963 | + | 0.864308i | \(0.332243\pi\) | |||||||
\(744\) | 1.20495e6 | − | 1.01107e6i | 0.0798062 | − | 0.0669654i | ||||
\(745\) | 728455. | + | 4.13128e6i | 0.0480853 | + | 0.272705i | ||||
\(746\) | −1.45215e7 | −0.955353 | ||||||||
\(747\) | −2.11970e6 | − | 1.20214e7i | −0.138986 | − | 0.788231i | ||||
\(748\) | 1.66809e6 | − | 2.88921e6i | 0.109010 | − | 0.188810i | ||||
\(749\) | 1.05076e7 | + | 8.81691e6i | 0.684381 | + | 0.574264i | ||||
\(750\) | −332078. | − | 575176.i | −0.0215569 | − | 0.0373377i | ||||
\(751\) | 2.16928e6 | − | 3.75731e6i | 0.140351 | − | 0.243095i | −0.787278 | − | 0.616599i | \(-0.788510\pi\) |
0.927629 | + | 0.373503i | \(0.121844\pi\) | |||||||
\(752\) | −3.85139e6 | + | 1.40179e6i | −0.248355 | + | 0.0903938i | ||||
\(753\) | 290581. | − | 243827.i | 0.0186758 | − | 0.0156709i | ||||
\(754\) | 3.43657e6 | + | 5.95232e6i | 0.220139 | + | 0.381292i | ||||
\(755\) | 244817. | − | 1.38843e6i | 0.0156305 | − | 0.0886452i | ||||
\(756\) | −400832. | + | 2.27323e6i | −0.0255069 | + | 0.144657i | ||||
\(757\) | 2.00598e6 | + | 1.68322e6i | 0.127229 | + | 0.106758i | 0.704182 | − | 0.710020i | \(-0.251314\pi\) |
−0.576953 | + | 0.816777i | \(0.695758\pi\) | |||||||
\(758\) | 3.48186e6 | + | 1.26729e6i | 0.220109 | + | 0.0801133i | ||||
\(759\) | −1.24095e6 | − | 451669.i | −0.0781898 | − | 0.0284587i | ||||
\(760\) | 828224. | + | 694963.i | 0.0520133 | + | 0.0436443i | ||||
\(761\) | −4.89556e6 | + | 2.77641e7i | −0.306437 | + | 1.73789i | 0.310226 | + | 0.950663i | \(0.399595\pi\) |
−0.616663 | + | 0.787227i | \(0.711516\pi\) | |||||||
\(762\) | 45191.5 | − | 256294.i | 0.00281948 | − | 0.0159901i | ||||
\(763\) | −8.02325e6 | − | 1.38967e7i | −0.498929 | − | 0.864171i | ||||
\(764\) | 1.16992e7 | − | 9.81683e6i | 0.725144 | − | 0.608468i | ||||
\(765\) | −2.47446e6 | + | 900629.i | −0.152871 | + | 0.0556407i | ||||
\(766\) | −1.72398e6 | + | 2.98603e6i | −0.106160 | + | 0.183875i | ||||
\(767\) | −4.85483e6 | − | 8.40881e6i | −0.297979 | − | 0.516114i | ||||
\(768\) | 125911. | + | 105652.i | 0.00770302 | + | 0.00646360i | ||||
\(769\) | −1.53956e7 | + | 2.66660e7i | −0.938817 | + | 1.62608i | −0.171135 | + | 0.985248i | \(0.554743\pi\) |
−0.767682 | + | 0.640831i | \(0.778590\pi\) | |||||||
\(770\) | 181882. | + | 1.03150e6i | 0.0110551 | + | 0.0626965i | ||||
\(771\) | 3.67804e6 | 0.222834 | ||||||||
\(772\) | −516757. | − | 2.93067e6i | −0.0312063 | − | 0.176980i | ||||
\(773\) | −5.21608e6 | + | 4.37681e6i | −0.313975 | + | 0.263456i | −0.786133 | − | 0.618058i | \(-0.787920\pi\) |
0.472158 | + | 0.881514i | \(0.343475\pi\) | |||||||
\(774\) | −3.85019e6 | − | 1.40136e6i | −0.231010 | − | 0.0840806i | ||||
\(775\) | 2.77039e7 | − | 1.00834e7i | 1.65686 | − | 0.603048i | ||||
\(776\) | −8.15923e6 | −0.486402 | ||||||||
\(777\) | 1.74892e6 | + | 1.79253e6i | 0.103924 | + | 0.106515i | ||||
\(778\) | −1.62616e6 | −0.0963195 | ||||||||
\(779\) | 7.16845e6 | − | 2.60910e6i | 0.423235 | − | 0.154045i | ||||
\(780\) | 137680. | + | 50111.3i | 0.00810276 | + | 0.00294916i | ||||
\(781\) | −3.90940e6 | + | 3.28038e6i | −0.229342 | + | 0.192440i | ||||
\(782\) | −1.86317e6 | − | 1.05666e7i | −0.108952 | − | 0.617897i | ||||
\(783\) | 6.11142e6 | 0.356236 | ||||||||
\(784\) | −107936. | − | 612135.i | −0.00627156 | − | 0.0355678i | ||||
\(785\) | 2.00463e6 | − | 3.47212e6i | 0.116107 | − | 0.201104i | ||||
\(786\) | 245806. | + | 206256.i | 0.0141918 | + | 0.0119083i | ||||
\(787\) | 5.80127e6 | + | 1.00481e7i | 0.333877 | + | 0.578292i | 0.983268 | − | 0.182163i | \(-0.0583097\pi\) |
−0.649392 | + | 0.760454i | \(0.724976\pi\) | |||||||
\(788\) | 2.89585e6 | − | 5.01577e6i | 0.166135 | − | 0.287754i | ||||
\(789\) | 1.16342e6 | − | 423451.i | 0.0665341 | − | 0.0242164i | ||||
\(790\) | 914.609 | − | 767.448i | 5.21396e−5 | − | 4.37503e-5i | ||||
\(791\) | −1.13633e7 | − | 1.96818e7i | −0.645747 | − | 1.11847i | ||||
\(792\) | 532217. | − | 3.01836e6i | 0.0301492 | − | 0.170985i | ||||
\(793\) | −2.33089e6 | + | 1.32191e7i | −0.131625 | + | 0.746482i | ||||
\(794\) | 1.17002e7 | + | 9.81763e6i | 0.658631 | + | 0.552657i | ||||
\(795\) | −105809. | − | 38511.5i | −0.00593754 | − | 0.00216109i | ||||
\(796\) | 6.94973e6 | + | 2.52949e6i | 0.388763 | + | 0.141498i | ||||
\(797\) | −2.47223e7 | − | 2.07445e7i | −1.37862 | − | 1.15680i | −0.969721 | − | 0.244216i | \(-0.921469\pi\) |
−0.408896 | − | 0.912581i | \(-0.634086\pi\) | |||||||
\(798\) | −326938. | + | 1.85416e6i | −0.0181743 | + | 0.103072i | ||||
\(799\) | 2.86528e6 | − | 1.62498e7i | 0.158782 | − | 0.900496i | ||||
\(800\) | 1.54035e6 | + | 2.66796e6i | 0.0850931 | + | 0.147386i | ||||
\(801\) | −1.14138e7 | + | 9.57732e6i | −0.628563 | + | 0.527427i | ||||
\(802\) | −1.81970e7 | + | 6.62316e6i | −0.998995 | + | 0.363604i | ||||
\(803\) | 2.66338e6 | − | 4.61312e6i | 0.145762 | − | 0.252468i | ||||
\(804\) | −694652. | − | 1.20317e6i | −0.0378989 | − | 0.0656429i | ||||
\(805\) | 2.58051e6 | + | 2.16531e6i | 0.140351 | + | 0.117769i | ||||
\(806\) | −6.62975e6 | + | 1.14831e7i | −0.359467 | + | 0.622616i | ||||
\(807\) | −269607. | − | 1.52902e6i | −0.0145730 | − | 0.0826474i | ||||
\(808\) | 7.15006e6 | 0.385284 | ||||||||
\(809\) | −3.88108e6 | − | 2.20107e7i | −0.208488 | − | 1.18239i | −0.891856 | − | 0.452320i | \(-0.850597\pi\) |
0.683368 | − | 0.730074i | \(-0.260514\pi\) | |||||||
\(810\) | −1.80263e6 | + | 1.51259e6i | −0.0965371 | + | 0.0810043i | ||||
\(811\) | −2.14889e6 | − | 782133.i | −0.114726 | − | 0.0417569i | 0.284019 | − | 0.958819i | \(-0.408332\pi\) |
−0.398745 | + | 0.917062i | \(0.630554\pi\) | |||||||
\(812\) | 9.15805e6 | − | 3.33326e6i | 0.487431 | − | 0.177410i | ||||
\(813\) | 5.39195e6 | 0.286101 | ||||||||
\(814\) | −4.70606e6 | − | 4.82341e6i | −0.248941 | − | 0.255149i | ||||
\(815\) | −5.24345e6 | −0.276518 | ||||||||
\(816\) | −621815. | + | 226322.i | −0.0326916 | + | 0.0118988i | ||||
\(817\) | −6.36427e6 | − | 2.31640e6i | −0.333575 | − | 0.121411i | ||||
\(818\) | 5.11815e6 | − | 4.29464e6i | 0.267442 | − | 0.224411i | ||||
\(819\) | −1.66729e6 | − | 9.45569e6i | −0.0868565 | − | 0.492588i | ||||
\(820\) | −841762. | −0.0437174 | ||||||||
\(821\) | −6.22137e6 | − | 3.52832e7i | −0.322128 | − | 1.82688i | −0.529134 | − | 0.848539i | \(-0.677483\pi\) |
0.207006 | − | 0.978340i | \(-0.433628\pi\) | |||||||
\(822\) | 221266. | − | 383244.i | 0.0114218 | − | 0.0197832i | ||||
\(823\) | 2.71350e7 | + | 2.27690e7i | 1.39647 | + | 1.17178i | 0.962641 | + | 0.270779i | \(0.0872814\pi\) |
0.433827 | + | 0.900996i | \(0.357163\pi\) | |||||||
\(824\) | 4.21345e6 | + | 7.29790e6i | 0.216182 | + | 0.374438i | ||||
\(825\) | −763259. | + | 1.32200e6i | −0.0390424 | + | 0.0676235i | ||||
\(826\) | −1.29375e7 | + | 4.70888e6i | −0.659783 | + | 0.240141i | ||||
\(827\) | 766900. | − | 643506.i | 0.0389920 | − | 0.0327182i | −0.623083 | − | 0.782155i | \(-0.714120\pi\) |
0.662075 | + | 0.749437i | \(0.269676\pi\) | |||||||
\(828\) | −4.92859e6 | − | 8.53656e6i | −0.249831 | − | 0.432720i | ||||
\(829\) | −2.26097e6 | + | 1.28226e7i | −0.114264 | + | 0.648021i | 0.872848 | + | 0.487991i | \(0.162270\pi\) |
−0.987112 | + | 0.160030i | \(0.948841\pi\) | |||||||
\(830\) | −386625. | + | 2.19266e6i | −0.0194802 | + | 0.110478i | ||||
\(831\) | 3.27185e6 | + | 2.74541e6i | 0.164358 | + | 0.137913i | ||||
\(832\) | −1.30199e6 | − | 473886.i | −0.0652078 | − | 0.0237337i | ||||
\(833\) | 2.35151e6 | + | 855881.i | 0.117418 | + | 0.0427367i | ||||
\(834\) | −1.10198e6 | − | 924672.i | −0.0548604 | − | 0.0460333i | ||||
\(835\) | −764375. | + | 4.33499e6i | −0.0379394 | + | 0.215165i | ||||
\(836\) | 879741. | − | 4.98926e6i | 0.0435351 | − | 0.246900i | ||||
\(837\) | 5.89500e6 | + | 1.02104e7i | 0.290851 | + | 0.503768i | ||||
\(838\) | 1.66090e7 | − | 1.39366e7i | 0.817022 | − | 0.685563i | ||||
\(839\) | −2.99521e7 | + | 1.09017e7i | −1.46900 | + | 0.534674i | −0.947830 | − | 0.318777i | \(-0.896728\pi\) |
−0.521174 | + | 0.853450i | \(0.674506\pi\) | |||||||
\(840\) | 103876. | − | 179919.i | 0.00507946 | − | 0.00879788i | ||||
\(841\) | −2.64583e6 | − | 4.58272e6i | −0.128995 | − | 0.223426i | ||||
\(842\) | 1.99034e7 | + | 1.67009e7i | 0.967490 | + | 0.811820i | ||||
\(843\) | −1.12243e6 | + | 1.94411e6i | −0.0543991 | + | 0.0942221i | ||||
\(844\) | 454500. | + | 2.57760e6i | 0.0219623 | + | 0.124554i | ||||
\(845\) | 2.77256e6 | 0.133579 | ||||||||
\(846\) | −2.63232e6 | − | 1.49286e7i | −0.126448 | − | 0.717123i | ||||
\(847\) | −1.10341e7 | + | 9.25868e6i | −0.528478 | + | 0.443446i | ||||
\(848\) | 1.00060e6 | + | 364190.i | 0.0477829 | + | 0.0173916i | ||||
\(849\) | −2.21706e6 | + | 806943.i | −0.105562 | + | 0.0384214i | ||||
\(850\) | −1.24027e7 | −0.588800 | ||||||||
\(851\) | −2.15657e7 | − | 2.15464e6i | −1.02080 | − | 0.101988i | ||||
\(852\) | 1.01224e6 | 0.0477733 | ||||||||
\(853\) | −2.86097e7 | + | 1.04131e7i | −1.34630 | + | 0.490012i | −0.911790 | − | 0.410657i | \(-0.865299\pi\) |
−0.434506 | + | 0.900669i | \(0.643077\pi\) | |||||||
\(854\) | 1.78854e7 | + | 6.50975e6i | 0.839178 | + | 0.305436i | ||||
\(855\) | −3.06326e6 | + | 2.57038e6i | −0.143308 | + | 0.120249i | ||||
\(856\) | 1.27126e6 | + | 7.20969e6i | 0.0592995 | + | 0.336304i | ||||
\(857\) | −3.51354e7 | −1.63415 | −0.817077 | − | 0.576529i | \(-0.804407\pi\) | ||||
−0.817077 | + | 0.576529i | \(0.804407\pi\) | |||||||
\(858\) | −119219. | − | 676123.i | −0.00552874 | − | 0.0313551i | ||||
\(859\) | −3.74157e6 | + | 6.48059e6i | −0.173010 | + | 0.299662i | −0.939471 | − | 0.342629i | \(-0.888683\pi\) |
0.766461 | + | 0.642291i | \(0.222016\pi\) | |||||||
\(860\) | 572488. | + | 480374.i | 0.0263949 | + | 0.0221480i | ||||
\(861\) | −732928. | − | 1.26947e6i | −0.0336940 | − | 0.0583598i | ||||
\(862\) | 1.16096e7 | − | 2.01084e7i | 0.532168 | − | 0.921742i | ||||
\(863\) | −3.82267e7 | + | 1.39134e7i | −1.74719 | + | 0.635925i | −0.999601 | − | 0.0282364i | \(-0.991011\pi\) |
−0.747589 | + | 0.664162i | \(0.768789\pi\) | |||||||
\(864\) | −943762. | + | 791910.i | −0.0430109 | + | 0.0360904i | ||||
\(865\) | −1.20178e6 | − | 2.08154e6i | −0.0546115 | − | 0.0945899i | ||||
\(866\) | −1.53055e6 | + | 8.68018e6i | −0.0693510 | + | 0.393309i | ||||
\(867\) | −155758. | + | 883349.i | −0.00703725 | + | 0.0399103i | ||||
\(868\) | 1.44027e7 | + | 1.20853e7i | 0.648849 | + | 0.544449i | ||||
\(869\) | −5257.24 | − | 1913.48i | −0.000236161 | − | 8.59556e-5i | ||||
\(870\) | −516870. | − | 188125.i | −0.0231517 | − | 0.00842654i | ||||
\(871\) | 8.97146e6 | + | 7.52795e6i | 0.400699 | + | 0.336226i | ||||
\(872\) | 1.48719e6 | − | 8.43428e6i | 0.0662332 | − | 0.375627i | ||||
\(873\) | 5.24030e6 | − | 2.97192e7i | 0.232713 | − | 1.31978i | ||||
\(874\) | −8.14682e6 | − | 1.41107e7i | −0.360753 | − | 0.624842i | ||||
\(875\) | 6.08132e6 | − | 5.10283e6i | 0.268521 | − | 0.225316i | ||||
\(876\) | −992835. | + | 361362.i | −0.0437136 | + | 0.0159105i | ||||
\(877\) | −1.40646e7 | + | 2.43607e7i | −0.617490 | + | 1.06952i | 0.372453 | + | 0.928051i | \(0.378517\pi\) |
−0.989942 | + | 0.141472i | \(0.954816\pi\) | |||||||
\(878\) | −1.15904e7 | − | 2.00751e7i | −0.507413 | − | 0.878865i | ||||
\(879\) | 1.39101e6 | + | 1.16719e6i | 0.0607235 | + | 0.0509531i | ||||
\(880\) | −279515. | + | 484134.i | −0.0121674 | + | 0.0210746i | ||||
\(881\) | −4.27661e6 | − | 2.42538e7i | −0.185635 | − | 1.05279i | −0.925137 | − | 0.379633i | \(-0.876050\pi\) |
0.739502 | − | 0.673154i | \(-0.235061\pi\) | |||||||
\(882\) | 2.29896e6 | 0.0995086 | ||||||||
\(883\) | 2.88096e6 | + | 1.63387e7i | 0.124347 | + | 0.705206i | 0.981694 | + | 0.190467i | \(0.0610002\pi\) |
−0.857347 | + | 0.514739i | \(0.827889\pi\) | |||||||
\(884\) | 4.27309e6 | − | 3.58555e6i | 0.183912 | − | 0.154321i | ||||
\(885\) | 730179. | + | 265764.i | 0.0313380 | + | 0.0114061i | ||||
\(886\) | −1.79853e7 | + | 6.54611e6i | −0.769721 | + | 0.280155i | ||||
\(887\) | 1.71827e7 | 0.733300 | 0.366650 | − | 0.930359i | \(-0.380505\pi\) | ||||
0.366650 | + | 0.930359i | \(0.380505\pi\) | |||||||
\(888\) | 100091. | + | 1.33289e6i | 0.00425955 | + | 0.0567232i | ||||
\(889\) | 3.11072e6 | 0.132010 | ||||||||
\(890\) | 2.55375e6 | − | 929488.i | 0.108069 | − | 0.0393340i | ||||
\(891\) | 1.03617e7 | + | 3.77134e6i | 0.437255 | + | 0.159148i | ||||
\(892\) | 1.72333e7 | − | 1.44605e7i | 0.725199 | − | 0.608514i | ||||
\(893\) | −4.35115e6 | − | 2.46766e7i | −0.182589 | − | 1.03552i | ||||
\(894\) | −3.89898e6 | −0.163157 | ||||||||
\(895\) | −329796. | − | 1.87037e6i | −0.0137622 | − | 0.0780493i | ||||
\(896\) | −982322. | + | 1.70143e6i | −0.0408774 | + | 0.0708018i | ||||
\(897\) | −1.69146e6 | − | 1.41930e6i | −0.0701909 | − | 0.0588971i | ||||
\(898\) | 8.50713e6 | + | 1.47348e7i | 0.352040 | + | 0.609752i | ||||
\(899\) | 2.48891e7 | − | 4.31092e7i | 1.02709 | − | 1.77898i | ||||
\(900\) | −1.07071e7 | + | 3.89706e6i | −0.440621 | + | 0.160373i | ||||
\(901\) | −3.28395e6 | + | 2.75556e6i | −0.134767 | + | 0.113083i | ||||
\(902\) | 1.97220e6 | + | 3.41594e6i | 0.0807112 | + | 0.139796i | ||||
\(903\) | −225987. | + | 1.28164e6i | −0.00922285 | + | 0.0523054i | ||||
\(904\) | 2.10630e6 | − | 1.19454e7i | 0.0857234 | − | 0.486161i | ||||
\(905\) | 1.09492e6 | + | 918744.i | 0.0444385 | + | 0.0372883i | ||||
\(906\) | 1.23133e6 | + | 448168.i | 0.0498373 | + | 0.0181393i | ||||
\(907\) | −3.80381e7 | − | 1.38447e7i | −1.53533 | − | 0.558813i | −0.570408 | − | 0.821362i | \(-0.693215\pi\) |
−0.964919 | + | 0.262549i | \(0.915437\pi\) | |||||||
\(908\) | −7.87270e6 | − | 6.60598e6i | −0.316890 | − | 0.265902i | ||||
\(909\) | −4.59215e6 | + | 2.60434e7i | −0.184335 | + | 1.04541i | ||||
\(910\) | −304108. | + | 1.72468e6i | −0.0121738 | + | 0.0690408i | ||||
\(911\) | 2.73081e6 | + | 4.72991e6i | 0.109017 | + | 0.188824i | 0.915372 | − | 0.402608i | \(-0.131896\pi\) |
−0.806355 | + | 0.591432i | \(0.798563\pi\) | |||||||
\(912\) | −769779. | + | 645921.i | −0.0306464 | + | 0.0257153i | ||||
\(913\) | 9.80383e6 | − | 3.56830e6i | 0.389241 | − | 0.141672i | ||||
\(914\) | −8.84025e6 | + | 1.53118e7i | −0.350025 | + | 0.606261i | ||||
\(915\) | −537107. | − | 930297.i | −0.0212084 | − | 0.0367341i | ||||
\(916\) | 1.80122e6 | + | 1.51140e6i | 0.0709297 | + | 0.0595171i | ||||
\(917\) | −1.91771e6 | + | 3.32157e6i | −0.0753112 | + | 0.130443i | ||||
\(918\) | −861281. | − | 4.88456e6i | −0.0337317 | − | 0.191302i | ||||
\(919\) | 2.72417e7 | 1.06401 | 0.532005 | − | 0.846741i | \(-0.321439\pi\) | ||||
0.532005 | + | 0.846741i | \(0.321439\pi\) | |||||||
\(920\) | 312204. | + | 1.77060e6i | 0.0121610 | + | 0.0689684i | ||||
\(921\) | 1.75618e6 | − | 1.47361e6i | 0.0682213 | − | 0.0572445i | ||||
\(922\) | 2.32303e7 | + | 8.45515e6i | 0.899970 | + | 0.327562i | ||||
\(923\) | −8.01829e6 | + | 2.91842e6i | −0.309797 | + | 0.112757i | ||||
\(924\) | −973501. | −0.0375108 | ||||||||
\(925\) | −6.78158e6 | + | 2.41173e7i | −0.260601 | + | 0.926776i | ||||
\(926\) | 6.97995e6 | 0.267501 | ||||||||
\(927\) | −2.92880e7 | + | 1.06600e7i | −1.11941 | + | 0.407433i | ||||
\(928\) | 4.88787e6 | + | 1.77904e6i | 0.186316 | + | 0.0678134i | ||||
\(929\) | −3.04790e7 | + | 2.55749e7i | −1.15867 | + | 0.972242i | −0.999886 | − | 0.0150710i | \(-0.995203\pi\) |
−0.158786 | + | 0.987313i | \(0.550758\pi\) | |||||||
\(930\) | −184263. | − | 1.04501e6i | −0.00698603 | − | 0.0396197i | ||||
\(931\) | 3.80013e6 | 0.143689 | ||||||||
\(932\) | 2.12208e6 | + | 1.20349e7i | 0.0800242 | + | 0.453840i | ||||
\(933\) | 2.51871e6 | − | 4.36253e6i | 0.0947269 | − | 0.164072i | ||||
\(934\) | 1.55486e7 | + | 1.30468e7i | 0.583208 | + | 0.489369i | ||||
\(935\) | −1.12531e6 | − | 1.94909e6i | −0.0420961 | − | 0.0729125i | ||||
\(936\) | 2.56229e6 | − | 4.43802e6i | 0.0955958 | − | 0.165577i | ||||
\(937\) | −7.02420e6 | + | 2.55660e6i | −0.261365 | + | 0.0951292i | −0.469379 | − | 0.882997i | \(-0.655522\pi\) |
0.208014 | + | 0.978126i | \(0.433300\pi\) | |||||||
\(938\) | 1.27211e7 | − | 1.06743e7i | 0.472082 | − | 0.396124i | ||||
\(939\) | −573287. | − | 992962.i | −0.0212182 | − | 0.0367509i | ||||
\(940\) | −480124. | + | 2.72292e6i | −0.0177229 | + | 0.100511i | ||||
\(941\) | −3.20984e6 | + | 1.82039e7i | −0.118171 | + | 0.670178i | 0.866961 | + | 0.498376i | \(0.166070\pi\) |
−0.985131 | + | 0.171802i | \(0.945041\pi\) | |||||||
\(942\) | 2.85454e6 | + | 2.39524e6i | 0.104811 | + | 0.0879473i | ||||
\(943\) | 1.19206e7 | + | 4.33875e6i | 0.436536 | + | 0.158886i | ||||
\(944\) | −6.90506e6 | − | 2.51324e6i | −0.252196 | − | 0.0917917i | ||||
\(945\) | 1.19288e6 | + | 1.00095e6i | 0.0434529 | + | 0.0364613i | ||||
\(946\) | 608097. | − | 3.44869e6i | 0.0220925 | − | 0.125293i | ||||
\(947\) | 7.51455e6 | − | 4.26171e7i | 0.272288 | − | 1.54422i | −0.475160 | − | 0.879899i | \(-0.657610\pi\) |
0.747448 | − | 0.664321i | \(-0.231279\pi\) | |||||||
\(948\) | 554.842 | + | 961.014i | 2.00516e−5 | + | 3.47303e-5i | ||||
\(949\) | 6.82271e6 | − | 5.72494e6i | 0.245919 | − | 0.206350i | ||||
\(950\) | −1.76985e7 | + | 6.44174e6i | −0.636251 | + | 0.231576i | ||||
\(951\) | 3.43765e6 | − | 5.95418e6i | 0.123257 | − | 0.213487i | ||||
\(952\) | −3.95475e6 | − | 6.84984e6i | −0.141425 | − | 0.244956i | ||||
\(953\) | −1.69799e6 | − | 1.42478e6i | −0.0605622 | − | 0.0508177i | 0.612004 | − | 0.790855i | \(-0.290364\pi\) |
−0.672566 | + | 0.740037i | \(0.734808\pi\) | |||||||
\(954\) | −1.96917e6 | + | 3.41070e6i | −0.0700506 | + | 0.121331i | ||||
\(955\) | −1.78906e6 | − | 1.01463e7i | −0.0634772 | − | 0.359997i | ||||
\(956\) | −7.72363e6 | −0.273323 | ||||||||
\(957\) | 447565. | + | 2.53827e6i | 0.0157971 | + | 0.0895896i | ||||
\(958\) | −6.09009e6 | + | 5.11019e6i | −0.214393 | + | 0.179897i | ||||
\(959\) | 4.97055e6 | + | 1.80913e6i | 0.174525 | + | 0.0635219i | ||||
\(960\) | 104195. | − | 37924.0i | 0.00364896 | − | 0.00132811i | ||||
\(961\) | 6.74017e7 | 2.35430 | ||||||||
\(962\) | −4.63574e6 | − | 1.02697e7i | −0.161503 | − | 0.357782i | ||||
\(963\) | −2.70771e7 | −0.940883 | ||||||||
\(964\) | −2.12167e6 | + | 772224.i | −0.0735334 | + | 0.0267640i | ||||
\(965\) | −1.88649e6 | − | 686625.i | −0.0652132 | − | 0.0237357i | ||||
\(966\) | −2.39841e6 | + | 2.01251e6i | −0.0826953 | + | 0.0693896i | ||||
\(967\) | 6.35528e6 | + | 3.60426e7i | 0.218559 | + | 1.23951i | 0.874623 | + | 0.484804i | \(0.161109\pi\) |
−0.656064 | + | 0.754705i | \(0.727780\pi\) | |||||||
\(968\) | −7.68772e6 | −0.263700 | ||||||||
\(969\) | −702503. | − | 3.98409e6i | −0.0240347 | − | 0.136308i | ||||
\(970\) | −2.75215e6 | + | 4.76686e6i | −0.0939165 | + | 0.162668i | ||||
\(971\) | 803228. | + | 673989.i | 0.0273395 | + | 0.0229406i | 0.656355 | − | 0.754452i | \(-0.272097\pi\) |
−0.629015 | + | 0.777393i | \(0.716542\pi\) | |||||||
\(972\) | −3.43242e6 | − | 5.94512e6i | −0.116529 | − | 0.201834i | ||||
\(973\) | 8.59734e6 | − | 1.48910e7i | 0.291127 | − | 0.504246i | ||||
\(974\) | 2.83652e7 | − | 1.03241e7i | 0.958050 | − | 0.348702i | ||||
\(975\) | −1.95522e6 | + | 1.64062e6i | −0.0658694 | + | 0.0552710i | ||||
\(976\) | 5.07925e6 | + | 8.79751e6i | 0.170677 | + | 0.295621i | ||||
\(977\) | 222005. | − | 1.25905e6i | 0.00744090 | − | 0.0421995i | −0.980861 | − | 0.194708i | \(-0.937624\pi\) |
0.988302 | + | 0.152509i | \(0.0487352\pi\) | |||||||
\(978\) | 846263. | − | 4.79940e6i | 0.0282917 | − | 0.160450i | ||||
\(979\) | −9.75521e6 | − | 8.18559e6i | −0.325297 | − | 0.272956i | ||||
\(980\) | −394034. | − | 143417.i | −0.0131060 | − | 0.00477018i | ||||
\(981\) | 2.97659e7 | + | 1.08339e7i | 0.987520 | + | 0.359428i | ||||
\(982\) | −1.76359e6 | − | 1.47982e6i | −0.0583603 | − | 0.0489701i | ||||
\(983\) | 165775. | − | 940154.i | 0.00547185 | − | 0.0310324i | −0.981950 | − | 0.189143i | \(-0.939429\pi\) |
0.987421 | + | 0.158110i | \(0.0505402\pi\) | |||||||
\(984\) | 135856. | − | 770475.i | 0.00447291 | − | 0.0253671i | ||||
\(985\) | −1.95357e6 | − | 3.38368e6i | −0.0641561 | − | 0.111122i | ||||
\(986\) | −1.60418e7 | + | 1.34607e7i | −0.525486 | + | 0.440935i | ||||
\(987\) | −4.52450e6 | + | 1.64679e6i | −0.147835 | + | 0.0538077i | ||||
\(988\) | 4.23540e6 | − | 7.33592e6i | 0.138039 | − | 0.239090i | ||||
\(989\) | −5.63127e6 | − | 9.75365e6i | −0.183069 | − | 0.317085i | ||||
\(990\) | −1.58389e6 | − | 1.32904e6i | −0.0513614 | − | 0.0430973i | ||||
\(991\) | −1.02075e7 | + | 1.76799e7i | −0.330169 | + | 0.571869i | −0.982545 | − | 0.186026i | \(-0.940439\pi\) |
0.652376 | + | 0.757896i | \(0.273772\pi\) | |||||||
\(992\) | 1.74251e6 | + | 9.88227e6i | 0.0562207 | + | 0.318843i | ||||
\(993\) | −1.50793e6 | −0.0485299 | ||||||||
\(994\) | 2.10101e6 | + | 1.19154e7i | 0.0674469 | + | 0.382510i | ||||
\(995\) | 3.82198e6 | − | 3.20702e6i | 0.122386 | − | 0.102694i | ||||
\(996\) | −1.94457e6 | − | 707765.i | −0.0621119 | − | 0.0226069i | ||||
\(997\) | 1.03464e7 | − | 3.76577e6i | 0.329648 | − | 0.119982i | −0.171894 | − | 0.985115i | \(-0.554989\pi\) |
0.501542 | + | 0.865133i | \(0.332766\pi\) | |||||||
\(998\) | 2.93227e7 | 0.931917 | ||||||||
\(999\) | −9.96910e6 | − | 996017.i | −0.316040 | − | 0.0315757i |
(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 | 74.6.f.a.7.4 | ✓ | 48 | |
37.16 | even | 9 | inner | 74.6.f.a.53.4 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.6.f.a.7.4 | ✓ | 48 | 1.1 | even | 1 | trivial | |
74.6.f.a.53.4 | yes | 48 | 37.16 | even | 9 | inner |