Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.4 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.6.g.a.9.4 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.14921 | + | 6.45690i | −0.910260 | + | 1.14143i | 0.0792346 | + | 0.996856i | \(0.474752\pi\) |
−0.989494 | + | 0.144573i | \(0.953819\pi\) | |||||||
\(3\) | 12.1966 | − | 1.83835i | 0.782415 | − | 0.117930i | 0.254325 | − | 0.967119i | \(-0.418147\pi\) |
0.528089 | + | 0.849189i | \(0.322909\pi\) | |||||||
\(4\) | −8.05656 | − | 35.2981i | −0.251768 | − | 1.10307i | ||||
\(5\) | 6.56775 | − | 4.47782i | 0.117487 | − | 0.0801016i | −0.503151 | − | 0.864199i | \(-0.667826\pi\) |
0.620638 | + | 0.784097i | \(0.286874\pi\) | |||||||
\(6\) | −50.9330 | + | 88.2185i | −0.577592 | + | 1.00042i | ||||
\(7\) | −125.151 | − | 216.768i | −0.965361 | − | 1.67205i | −0.708642 | − | 0.705568i | \(-0.750692\pi\) |
−0.256719 | − | 0.966486i | \(-0.582641\pi\) | |||||||
\(8\) | 31.2951 | + | 15.0709i | 0.172883 | + | 0.0832558i | ||||
\(9\) | −86.8258 | + | 26.7822i | −0.357308 | + | 0.110215i | ||||
\(10\) | −4.90589 | + | 65.4645i | −0.0155138 | + | 0.207017i | ||||
\(11\) | 5.72841 | − | 25.0978i | 0.0142742 | − | 0.0625394i | −0.967289 | − | 0.253676i | \(-0.918360\pi\) |
0.981563 | + | 0.191137i | \(0.0612174\pi\) | |||||||
\(12\) | −163.153 | − | 415.707i | −0.327071 | − | 0.833364i | ||||
\(13\) | −50.2681 | − | 670.781i | −0.0824962 | − | 1.10084i | −0.872786 | − | 0.488103i | \(-0.837689\pi\) |
0.790290 | − | 0.612733i | \(-0.209930\pi\) | |||||||
\(14\) | 2044.08 | + | 308.095i | 2.78726 | + | 0.420112i | ||||
\(15\) | 71.8727 | − | 66.6881i | 0.0824776 | − | 0.0765280i | ||||
\(16\) | 785.395 | − | 378.226i | 0.766988 | − | 0.369362i | ||||
\(17\) | 809.365 | + | 551.816i | 0.679238 | + | 0.463097i | 0.853151 | − | 0.521664i | \(-0.174689\pi\) |
−0.173912 | + | 0.984761i | \(0.555641\pi\) | |||||||
\(18\) | 274.154 | − | 698.532i | 0.199440 | − | 0.508165i | ||||
\(19\) | 46.5882 | + | 14.3706i | 0.0296068 | + | 0.00913250i | 0.309523 | − | 0.950892i | \(-0.399831\pi\) |
−0.279916 | + | 0.960024i | \(0.590307\pi\) | |||||||
\(20\) | −210.972 | − | 195.753i | −0.117937 | − | 0.109429i | ||||
\(21\) | −1924.92 | − | 2413.77i | −0.952498 | − | 1.19439i | ||||
\(22\) | 132.557 | + | 166.222i | 0.0583911 | + | 0.0732201i | ||||
\(23\) | −2661.70 | − | 2469.70i | −1.04915 | − | 0.973473i | −0.0494749 | − | 0.998775i | \(-0.515755\pi\) |
−0.999680 | + | 0.0253020i | \(0.991945\pi\) | |||||||
\(24\) | 409.400 | + | 126.283i | 0.145084 | + | 0.0447525i | ||||
\(25\) | −1118.61 | + | 2850.16i | −0.357954 | + | 0.912052i | ||||
\(26\) | 4590.01 | + | 3129.41i | 1.33162 | + | 0.907883i | ||||
\(27\) | −3710.18 | + | 1786.73i | −0.979459 | + | 0.471682i | ||||
\(28\) | −6643.22 | + | 6164.00i | −1.60134 | + | 1.48583i | ||||
\(29\) | 3246.12 | + | 489.275i | 0.716754 | + | 0.108033i | 0.497286 | − | 0.867586i | \(-0.334330\pi\) |
0.219468 | + | 0.975620i | \(0.429568\pi\) | |||||||
\(30\) | 60.5112 | + | 807.466i | 0.0122753 | + | 0.163803i | ||||
\(31\) | −1625.48 | − | 4141.67i | −0.303794 | − | 0.774053i | −0.998500 | − | 0.0547596i | \(-0.982561\pi\) |
0.694706 | − | 0.719294i | \(-0.255534\pi\) | |||||||
\(32\) | −1849.33 | + | 8102.43i | −0.319256 | + | 1.39875i | ||||
\(33\) | 23.7289 | − | 316.640i | 0.00379308 | − | 0.0506151i | ||||
\(34\) | −7730.61 | + | 2384.58i | −1.14688 | + | 0.353764i | ||||
\(35\) | −1792.61 | − | 863.275i | −0.247352 | − | 0.119118i | ||||
\(36\) | 1644.88 | + | 2849.01i | 0.211533 | + | 0.366385i | ||||
\(37\) | 2677.17 | − | 4636.99i | 0.321493 | − | 0.556842i | −0.659303 | − | 0.751877i | \(-0.729149\pi\) |
0.980796 | + | 0.195035i | \(0.0624820\pi\) | |||||||
\(38\) | −332.682 | + | 226.818i | −0.0373740 | + | 0.0254812i | ||||
\(39\) | −1846.23 | − | 8088.87i | −0.194368 | − | 0.851581i | ||||
\(40\) | 273.023 | − | 41.1516i | 0.0269805 | − | 0.00406665i | ||||
\(41\) | 8109.60 | − | 10169.1i | 0.753424 | − | 0.944764i | −0.246277 | − | 0.969199i | \(-0.579207\pi\) |
0.999701 | + | 0.0244354i | \(0.00777881\pi\) | |||||||
\(42\) | 25497.3 | 2.23034 | ||||||||
\(43\) | −10945.2 | + | 5216.33i | −0.902722 | + | 0.430224i | ||||
\(44\) | −932.056 | −0.0725789 | ||||||||
\(45\) | −450.324 | + | 564.689i | −0.0331508 | + | 0.0415698i | ||||
\(46\) | 29652.2 | − | 4469.35i | 2.06615 | − | 0.311423i | ||||
\(47\) | 1540.45 | + | 6749.16i | 0.101719 | + | 0.445661i | 0.999981 | + | 0.00620004i | \(0.00197355\pi\) |
−0.898261 | + | 0.439461i | \(0.855169\pi\) | |||||||
\(48\) | 8883.87 | − | 6056.92i | 0.556543 | − | 0.379445i | ||||
\(49\) | −22922.1 | + | 39702.3i | −1.36384 | + | 2.36225i | ||||
\(50\) | −12643.3 | − | 21898.8i | −0.715212 | − | 1.23878i | ||||
\(51\) | 10886.0 | + | 5242.40i | 0.586059 | + | 0.282231i | ||||
\(52\) | −23272.3 | + | 7178.56i | −1.19352 | + | 0.368154i | ||||
\(53\) | 2230.54 | − | 29764.5i | 0.109074 | − | 1.45549i | −0.627227 | − | 0.778837i | \(-0.715810\pi\) |
0.736301 | − | 0.676654i | \(-0.236571\pi\) | |||||||
\(54\) | 7567.76 | − | 33156.5i | 0.353169 | − | 1.54734i | ||||
\(55\) | −74.7606 | − | 190.487i | −0.00333247 | − | 0.00849099i | ||||
\(56\) | −649.721 | − | 8669.92i | −0.0276858 | − | 0.369441i | ||||
\(57\) | 594.638 | + | 89.6272i | 0.0242418 | + | 0.00365387i | ||||
\(58\) | −19874.2 | + | 18440.5i | −0.775745 | + | 0.719786i | ||||
\(59\) | −12046.1 | + | 5801.11i | −0.450523 | + | 0.216961i | −0.645365 | − | 0.763874i | \(-0.723295\pi\) |
0.194842 | + | 0.980835i | \(0.437581\pi\) | |||||||
\(60\) | −2933.01 | − | 1999.69i | −0.105181 | − | 0.0717109i | ||||
\(61\) | −1891.56 | + | 4819.61i | −0.0650871 | + | 0.165839i | −0.959717 | − | 0.280969i | \(-0.909344\pi\) |
0.894630 | + | 0.446808i | \(0.147439\pi\) | |||||||
\(62\) | 35112.3 | + | 10830.7i | 1.16006 | + | 0.357831i | ||||
\(63\) | 16671.9 | + | 15469.2i | 0.529216 | + | 0.491041i | ||||
\(64\) | −25401.7 | − | 31852.7i | −0.775198 | − | 0.972068i | ||||
\(65\) | −3333.78 | − | 4180.43i | −0.0978710 | − | 0.122726i | ||||
\(66\) | 1922.33 | + | 1783.66i | 0.0543209 | + | 0.0504024i | ||||
\(67\) | −9985.58 | − | 3080.14i | −0.271760 | − | 0.0838270i | 0.155880 | − | 0.987776i | \(-0.450179\pi\) |
−0.427640 | + | 0.903949i | \(0.640655\pi\) | |||||||
\(68\) | 12957.4 | − | 33014.8i | 0.339816 | − | 0.865838i | ||||
\(69\) | −37004.0 | − | 25228.9i | −0.935676 | − | 0.637933i | ||||
\(70\) | 14804.6 | − | 7129.52i | 0.361120 | − | 0.173906i | ||||
\(71\) | 10771.2 | − | 9994.21i | 0.253582 | − | 0.235290i | −0.543130 | − | 0.839648i | \(-0.682761\pi\) |
0.796712 | + | 0.604359i | \(0.206571\pi\) | |||||||
\(72\) | −3120.85 | − | 470.393i | −0.0709483 | − | 0.0106937i | ||||
\(73\) | −671.483 | − | 8960.31i | −0.0147478 | − | 0.196796i | −0.999711 | − | 0.0240325i | \(-0.992349\pi\) |
0.984963 | − | 0.172763i | \(-0.0552696\pi\) | |||||||
\(74\) | 16155.3 | + | 41163.0i | 0.342954 | + | 0.873833i | ||||
\(75\) | −8403.65 | + | 36818.8i | −0.172510 | + | 0.755816i | ||||
\(76\) | 131.913 | − | 1760.25i | 0.00261971 | − | 0.0349576i | ||||
\(77\) | −6157.32 | + | 1899.28i | −0.118349 | + | 0.0365059i | ||||
\(78\) | 61735.6 | + | 29730.3i | 1.14895 | + | 0.553303i | ||||
\(79\) | −1004.83 | − | 1740.42i | −0.0181145 | − | 0.0313752i | 0.856826 | − | 0.515606i | \(-0.172433\pi\) |
−0.874941 | + | 0.484230i | \(0.839100\pi\) | |||||||
\(80\) | 3464.65 | − | 6000.95i | 0.0605250 | − | 0.104832i | ||||
\(81\) | −23724.1 | + | 16174.8i | −0.401770 | + | 0.273922i | ||||
\(82\) | 23903.0 | + | 104726.i | 0.392570 | + | 1.71996i | ||||
\(83\) | 95394.8 | − | 14378.5i | 1.51995 | − | 0.229096i | 0.664621 | − | 0.747180i | \(-0.268593\pi\) |
0.855329 | + | 0.518085i | \(0.173355\pi\) | |||||||
\(84\) | −69693.3 | + | 87392.7i | −1.07769 | + | 1.35138i | ||||
\(85\) | 7786.64 | 0.116897 | ||||||||
\(86\) | 22677.9 | − | 97532.3i | 0.330642 | − | 1.42201i | ||||
\(87\) | 40491.3 | 0.573539 | ||||||||
\(88\) | 557.518 | − | 699.105i | 0.00767454 | − | 0.00962357i | ||||
\(89\) | 9837.97 | − | 1482.84i | 0.131653 | − | 0.0198435i | −0.0828852 | − | 0.996559i | \(-0.526413\pi\) |
0.214538 | + | 0.976716i | \(0.431175\pi\) | |||||||
\(90\) | −1327.33 | − | 5815.40i | −0.0172731 | − | 0.0756786i | ||||
\(91\) | −139113. | + | 94845.6i | −1.76102 | + | 1.20064i | ||||
\(92\) | −65731.5 | + | 113850.i | −0.809662 | + | 1.40238i | ||||
\(93\) | −27439.3 | − | 47526.2i | −0.328977 | − | 0.569804i | ||||
\(94\) | −51510.8 | − | 24806.3i | −0.601282 | − | 0.289562i | ||||
\(95\) | 370.329 | − | 114.231i | 0.00420996 | − | 0.00129860i | ||||
\(96\) | −7660.49 | + | 102222.i | −0.0848357 | + | 1.13205i | ||||
\(97\) | 22106.3 | − | 96853.9i | 0.238554 | − | 1.04517i | −0.703759 | − | 0.710439i | \(-0.748497\pi\) |
0.942313 | − | 0.334733i | \(-0.108646\pi\) | |||||||
\(98\) | −138323. | − | 352441.i | −1.45489 | − | 3.70699i | ||||
\(99\) | 174.801 | + | 2332.56i | 0.00179248 | + | 0.0239190i | ||||
\(100\) | 109617. | + | 16522.2i | 1.09617 | + | 0.165222i | ||||
\(101\) | −80075.1 | + | 74298.8i | −0.781077 | + | 0.724734i | −0.966147 | − | 0.257992i | \(-0.916939\pi\) |
0.185070 | + | 0.982725i | \(0.440749\pi\) | |||||||
\(102\) | −89903.7 | + | 43295.4i | −0.855613 | + | 0.412041i | ||||
\(103\) | −74146.5 | − | 50552.2i | −0.688649 | − | 0.469513i | 0.167749 | − | 0.985830i | \(-0.446350\pi\) |
−0.856397 | + | 0.516317i | \(0.827303\pi\) | |||||||
\(104\) | 8536.15 | − | 21749.7i | 0.0773889 | − | 0.197184i | ||||
\(105\) | −23450.8 | − | 7233.62i | −0.207580 | − | 0.0640298i | ||||
\(106\) | 180701. | + | 167666.i | 1.56205 | + | 1.44937i | ||||
\(107\) | 9712.58 | + | 12179.2i | 0.0820115 | + | 0.102839i | 0.821145 | − | 0.570720i | \(-0.193336\pi\) |
−0.739133 | + | 0.673560i | \(0.764765\pi\) | |||||||
\(108\) | 92959.6 | + | 116568.i | 0.766893 | + | 0.961653i | ||||
\(109\) | 155555. | + | 144334.i | 1.25406 | + | 1.16360i | 0.979373 | + | 0.202062i | \(0.0647642\pi\) |
0.274686 | + | 0.961534i | \(0.411426\pi\) | |||||||
\(110\) | 1614.91 | + | 498.134i | 0.0127253 | + | 0.00392523i | ||||
\(111\) | 24128.1 | − | 61477.3i | 0.185872 | − | 0.473595i | ||||
\(112\) | −180281. | − | 122913.i | −1.35801 | − | 0.925877i | ||||
\(113\) | 177088. | − | 85281.1i | 1.30465 | − | 0.628285i | 0.353041 | − | 0.935608i | \(-0.385147\pi\) |
0.951605 | + | 0.307323i | \(0.0994332\pi\) | |||||||
\(114\) | −3640.63 | + | 3378.01i | −0.0262370 | + | 0.0243444i | ||||
\(115\) | −28540.2 | − | 4301.75i | −0.201239 | − | 0.0303320i | ||||
\(116\) | −8882.14 | − | 118524.i | −0.0612876 | − | 0.817826i | ||||
\(117\) | 22329.6 | + | 56894.8i | 0.150805 | + | 0.384245i | ||||
\(118\) | 24570.8 | − | 107652.i | 0.162448 | − | 0.711731i | ||||
\(119\) | 18323.1 | − | 244505.i | 0.118613 | − | 1.58278i | ||||
\(120\) | 3254.31 | − | 1003.82i | 0.0206303 | − | 0.00636361i | ||||
\(121\) | 144505. | + | 69589.9i | 0.897261 | + | 0.432098i | ||||
\(122\) | −21379.7 | − | 37030.8i | −0.130048 | − | 0.225249i | ||||
\(123\) | 80215.4 | − | 138937.i | 0.478074 | − | 0.828049i | ||||
\(124\) | −133097. | + | 90744.1i | −0.777347 | + | 0.529986i | ||||
\(125\) | 10943.3 | + | 47945.8i | 0.0626432 | + | 0.274458i | ||||
\(126\) | −185730. | + | 27994.3i | −1.04221 | + | 0.157088i | ||||
\(127\) | 198171. | − | 248499.i | 1.09026 | − | 1.36715i | 0.165672 | − | 0.986181i | \(-0.447021\pi\) |
0.924590 | − | 0.380964i | \(-0.124408\pi\) | |||||||
\(128\) | 70522.7 | 0.380456 | ||||||||
\(129\) | −123906. | + | 83742.9i | −0.655567 | + | 0.443071i | ||||
\(130\) | 44159.0 | 0.229172 | ||||||||
\(131\) | −159728. | + | 200293.i | −0.813211 | + | 1.01973i | 0.186097 | + | 0.982531i | \(0.440416\pi\) |
−0.999308 | + | 0.0372025i | \(0.988155\pi\) | |||||||
\(132\) | −11368.0 | + | 1713.44i | −0.0567868 | + | 0.00855923i | ||||
\(133\) | −2715.49 | − | 11897.3i | −0.0133113 | − | 0.0583204i | ||||
\(134\) | 71306.0 | − | 48615.6i | 0.343055 | − | 0.233891i | ||||
\(135\) | −16366.9 | + | 28348.3i | −0.0772916 | + | 0.133873i | ||||
\(136\) | 17012.8 | + | 29467.0i | 0.0788729 | + | 0.136612i | ||||
\(137\) | 281512. | + | 135569.i | 1.28143 | + | 0.617105i | 0.945757 | − | 0.324874i | \(-0.105322\pi\) |
0.335673 | + | 0.941978i | \(0.391036\pi\) | |||||||
\(138\) | 353441. | − | 109022.i | 1.57986 | − | 0.487323i | ||||
\(139\) | 29858.0 | − | 398428.i | 0.131076 | − | 1.74909i | −0.413611 | − | 0.910454i | \(-0.635733\pi\) |
0.544688 | − | 0.838639i | \(-0.316648\pi\) | |||||||
\(140\) | −16029.7 | + | 70230.8i | −0.0691203 | + | 0.302836i | ||||
\(141\) | 31195.6 | + | 79485.2i | 0.132144 | + | 0.336696i | ||||
\(142\) | 9068.51 | + | 121011.i | 0.0377411 | + | 0.503620i | ||||
\(143\) | −17123.1 | − | 2580.89i | −0.0700232 | − | 0.0105543i | ||||
\(144\) | −58062.8 | + | 53874.4i | −0.233341 | + | 0.216509i | ||||
\(145\) | 23510.6 | − | 11322.1i | 0.0928633 | − | 0.0447206i | ||||
\(146\) | 61313.4 | + | 41802.8i | 0.238053 | + | 0.162302i | ||||
\(147\) | −206586. | + | 526373.i | −0.788511 | + | 2.00909i | ||||
\(148\) | −185246. | − | 57140.8i | −0.695175 | − | 0.214433i | ||||
\(149\) | −141521. | − | 131312.i | −0.522222 | − | 0.484551i | 0.374450 | − | 0.927247i | \(-0.377832\pi\) |
−0.896672 | + | 0.442696i | \(0.854022\pi\) | |||||||
\(150\) | −194463. | − | 243849.i | −0.705682 | − | 0.884897i | ||||
\(151\) | 54392.7 | + | 68206.3i | 0.194133 | + | 0.243435i | 0.869365 | − | 0.494170i | \(-0.164528\pi\) |
−0.675232 | + | 0.737605i | \(0.735957\pi\) | |||||||
\(152\) | 1241.40 | + | 1151.86i | 0.00435817 | + | 0.00404379i | ||||
\(153\) | −85052.6 | − | 26235.2i | −0.293737 | − | 0.0906059i | ||||
\(154\) | 19441.8 | − | 49537.0i | 0.0660595 | − | 0.168317i | ||||
\(155\) | −29221.4 | − | 19922.8i | −0.0976949 | − | 0.0666072i | ||||
\(156\) | −270647. | + | 130337.i | −0.890415 | + | 0.428801i | ||||
\(157\) | −322671. | + | 299395.i | −1.04475 | + | 0.969383i | −0.999562 | − | 0.0295960i | \(-0.990578\pi\) |
−0.0451841 | + | 0.998979i | \(0.514387\pi\) | |||||||
\(158\) | 16411.8 | + | 2473.68i | 0.0523014 | + | 0.00788317i | ||||
\(159\) | −27512.4 | − | 367128.i | −0.0863050 | − | 1.15166i | ||||
\(160\) | 24135.3 | + | 61495.7i | 0.0745337 | + | 0.189909i | ||||
\(161\) | −202237. | + | 886057.i | −0.614887 | + | 2.69400i | ||||
\(162\) | 17721.1 | − | 236472.i | 0.0530522 | − | 0.707933i | ||||
\(163\) | 77605.7 | − | 23938.2i | 0.228783 | − | 0.0705703i | −0.178244 | − | 0.983986i | \(-0.557042\pi\) |
0.407027 | + | 0.913416i | \(0.366565\pi\) | |||||||
\(164\) | −424286. | − | 204325.i | −1.23182 | − | 0.593216i | ||||
\(165\) | −1262.01 | − | 2185.86i | −0.00360871 | − | 0.00625048i | ||||
\(166\) | −398367. | + | 689992.i | −1.12205 | + | 1.94345i | ||||
\(167\) | 352465. | − | 240306.i | 0.977968 | − | 0.666767i | 0.0349078 | − | 0.999391i | \(-0.488886\pi\) |
0.943060 | + | 0.332624i | \(0.107934\pi\) | |||||||
\(168\) | −23862.7 | − | 104549.i | −0.0652299 | − | 0.285791i | ||||
\(169\) | −80274.7 | + | 12099.5i | −0.216203 | + | 0.0325874i | ||||
\(170\) | −40095.0 | + | 50277.5i | −0.106406 | + | 0.133429i | ||||
\(171\) | −4429.93 | −0.0115853 | ||||||||
\(172\) | 272308. | + | 344321.i | 0.701841 | + | 0.887446i | ||||
\(173\) | −166882. | −0.423930 | −0.211965 | − | 0.977277i | \(-0.567986\pi\) | ||||
−0.211965 | + | 0.977277i | \(0.567986\pi\) | |||||||
\(174\) | −208498. | + | 261448.i | −0.522070 | + | 0.654655i | ||||
\(175\) | 757819. | − | 114223.i | 1.87055 | − | 0.281941i | ||||
\(176\) | −4993.59 | − | 21878.3i | −0.0121515 | − | 0.0532393i | ||||
\(177\) | −136258. | + | 92898.9i | −0.326910 | + | 0.222883i | ||||
\(178\) | −41083.2 | + | 71158.2i | −0.0971884 | + | 0.168335i | ||||
\(179\) | −18296.4 | − | 31690.3i | −0.0426808 | − | 0.0739254i | 0.843896 | − | 0.536507i | \(-0.180257\pi\) |
−0.886577 | + | 0.462582i | \(0.846923\pi\) | |||||||
\(180\) | 23560.5 | + | 11346.1i | 0.0542005 | + | 0.0261016i | ||||
\(181\) | 546388. | − | 168538.i | 1.23967 | − | 0.382387i | 0.395499 | − | 0.918466i | \(-0.370572\pi\) |
0.844167 | + | 0.536080i | \(0.180095\pi\) | |||||||
\(182\) | 103913. | − | 1.38662e6i | 0.232536 | − | 3.10297i | ||||
\(183\) | −14210.5 | + | 62260.4i | −0.0313677 | + | 0.137431i | ||||
\(184\) | −46077.5 | − | 117404.i | −0.100333 | − | 0.255645i | ||||
\(185\) | −3180.63 | − | 42442.5i | −0.00683256 | − | 0.0911741i | ||||
\(186\) | 448162. | + | 67549.6i | 0.949846 | + | 0.143166i | ||||
\(187\) | 18485.7 | − | 17152.3i | 0.0386574 | − | 0.0358688i | ||||
\(188\) | 225822. | − | 108750.i | 0.465984 | − | 0.224406i | ||||
\(189\) | 851640. | + | 580638.i | 1.73421 | + | 1.18236i | ||||
\(190\) | −1169.32 | + | 2979.37i | −0.00234990 | + | 0.00598744i | ||||
\(191\) | −562079. | − | 173378.i | −1.11484 | − | 0.343884i | −0.318013 | − | 0.948086i | \(-0.603016\pi\) |
−0.796831 | + | 0.604202i | \(0.793492\pi\) | |||||||
\(192\) | −368372. | − | 341799.i | −0.721162 | − | 0.669141i | ||||
\(193\) | −516195. | − | 647288.i | −0.997517 | − | 1.25085i | −0.967913 | − | 0.251285i | \(-0.919147\pi\) |
−0.0296039 | − | 0.999562i | \(-0.509425\pi\) | |||||||
\(194\) | 511546. | + | 641458.i | 0.975844 | + | 1.22367i | ||||
\(195\) | −48346.0 | − | 44858.6i | −0.0910488 | − | 0.0844810i | ||||
\(196\) | 1.58609e6 | + | 489244.i | 2.94908 | + | 0.909672i | ||||
\(197\) | −325737. | + | 829965.i | −0.598001 | + | 1.52368i | 0.235906 | + | 0.971776i | \(0.424194\pi\) |
−0.833907 | + | 0.551905i | \(0.813901\pi\) | |||||||
\(198\) | −15961.2 | − | 10882.1i | −0.0289335 | − | 0.0197265i | ||||
\(199\) | 125558. | − | 60465.6i | 0.224756 | − | 0.108237i | −0.318117 | − | 0.948051i | \(-0.603051\pi\) |
0.542874 | + | 0.839814i | \(0.317336\pi\) | |||||||
\(200\) | −77961.4 | + | 72337.6i | −0.137818 | + | 0.127876i | ||||
\(201\) | −127453. | − | 19210.4i | −0.222515 | − | 0.0335388i | ||||
\(202\) | −67416.9 | − | 899616.i | −0.116249 | − | 1.55124i | ||||
\(203\) | −300197. | − | 764890.i | −0.511289 | − | 1.30274i | ||||
\(204\) | 97343.5 | − | 426490.i | 0.163769 | − | 0.717519i | ||||
\(205\) | 7726.39 | − | 103101.i | 0.0128408 | − | 0.171348i | ||||
\(206\) | 708206. | − | 218453.i | 1.16276 | − | 0.358665i | ||||
\(207\) | 297248. | + | 143147.i | 0.482162 | + | 0.232197i | ||||
\(208\) | −293188. | − | 507816.i | −0.469880 | − | 0.813856i | ||||
\(209\) | 627.546 | − | 1086.94i | 0.000993756 | − | 0.00172124i | ||||
\(210\) | 167460. | − | 114172.i | 0.262037 | − | 0.178654i | ||||
\(211\) | −38940.8 | − | 170611.i | −0.0602141 | − | 0.263815i | 0.935856 | − | 0.352382i | \(-0.114628\pi\) |
−0.996070 | + | 0.0885671i | \(0.971771\pi\) | |||||||
\(212\) | −1.06860e6 | + | 161066.i | −1.63296 | + | 0.246130i | ||||
\(213\) | 113000. | − | 141697.i | 0.170658 | − | 0.213999i | ||||
\(214\) | −128652. | −0.192035 | ||||||||
\(215\) | −48527.8 | + | 83270.4i | −0.0715970 | + | 0.122855i | ||||
\(216\) | −143038. | −0.208602 | ||||||||
\(217\) | −694350. | + | 870688.i | −1.00099 | + | 1.25520i | ||||
\(218\) | −1.73293e6 | + | 261198.i | −2.46968 | + | 0.372245i | ||||
\(219\) | −24662.0 | − | 108051.i | −0.0347470 | − | 0.152237i | ||||
\(220\) | −6121.51 | + | 4173.58i | −0.00852711 | + | 0.00581369i | ||||
\(221\) | 329463. | − | 570646.i | 0.453759 | − | 0.785934i | ||||
\(222\) | 272712. | + | 472352.i | 0.371383 | + | 0.643255i | ||||
\(223\) | −1.06027e6 | − | 510600.i | −1.42776 | − | 0.687573i | −0.449181 | − | 0.893441i | \(-0.648284\pi\) |
−0.978580 | + | 0.205867i | \(0.933998\pi\) | |||||||
\(224\) | 1.98779e6 | − | 613153.i | 2.64699 | − | 0.816487i | ||||
\(225\) | 20790.2 | − | 277426.i | 0.0273781 | − | 0.365335i | ||||
\(226\) | −361211. | + | 1.58257e6i | −0.470424 | + | 2.06106i | ||||
\(227\) | −81706.1 | − | 208184.i | −0.105242 | − | 0.268153i | 0.868546 | − | 0.495608i | \(-0.165055\pi\) |
−0.973789 | + | 0.227455i | \(0.926959\pi\) | |||||||
\(228\) | −1627.06 | − | 21711.7i | −0.00207285 | − | 0.0276603i | ||||
\(229\) | −1.28550e6 | − | 193758.i | −1.61988 | − | 0.244158i | −0.724439 | − | 0.689339i | \(-0.757901\pi\) |
−0.895441 | + | 0.445181i | \(0.853139\pi\) | |||||||
\(230\) | 174735. | − | 162131.i | 0.217802 | − | 0.202091i | ||||
\(231\) | −71607.1 | + | 34484.1i | −0.0882929 | + | 0.0425196i | ||||
\(232\) | 94213.9 | + | 64234.0i | 0.114920 | + | 0.0783510i | ||||
\(233\) | −234599. | + | 597749.i | −0.283098 | + | 0.721321i | 0.716618 | + | 0.697466i | \(0.245689\pi\) |
−0.999715 | + | 0.0238551i | \(0.992406\pi\) | |||||||
\(234\) | −482344. | − | 148783.i | −0.575860 | − | 0.177629i | ||||
\(235\) | 40338.8 | + | 37428.9i | 0.0476490 | + | 0.0442118i | ||||
\(236\) | 301818. | + | 378468.i | 0.352749 | + | 0.442333i | ||||
\(237\) | −15455.1 | − | 19380.0i | −0.0178731 | − | 0.0224122i | ||||
\(238\) | 1.48439e6 | + | 1.37732e6i | 1.69866 | + | 1.57613i | ||||
\(239\) | 1.28469e6 | + | 396275.i | 1.45480 | + | 0.448748i | 0.918549 | − | 0.395308i | \(-0.129362\pi\) |
0.536255 | + | 0.844056i | \(0.319838\pi\) | |||||||
\(240\) | 31225.3 | − | 79560.7i | 0.0349927 | − | 0.0891601i | ||||
\(241\) | −690792. | − | 470974.i | −0.766134 | − | 0.522342i | 0.116051 | − | 0.993243i | \(-0.462976\pi\) |
−0.882186 | + | 0.470902i | \(0.843929\pi\) | |||||||
\(242\) | −1.19342e6 | + | 574721.i | −1.30995 | + | 0.630839i | ||||
\(243\) | 473925. | − | 439738.i | 0.514866 | − | 0.477726i | ||||
\(244\) | 185363. | + | 27938.9i | 0.199318 | + | 0.0300424i | ||||
\(245\) | 27232.7 | + | 363396.i | 0.0289852 | + | 0.386780i | ||||
\(246\) | 484058. | + | 1.23336e6i | 0.509987 | + | 1.29943i | ||||
\(247\) | 7297.60 | − | 31972.9i | 0.00761093 | − | 0.0333457i | ||||
\(248\) | 11549.0 | − | 154111.i | 0.0119239 | − | 0.159113i | ||||
\(249\) | 1.13706e6 | − | 350738.i | 1.16221 | − | 0.358496i | ||||
\(250\) | −365931. | − | 176223.i | −0.370296 | − | 0.178325i | ||||
\(251\) | −714764. | − | 1.23801e6i | −0.716108 | − | 1.24034i | −0.962531 | − | 0.271173i | \(-0.912589\pi\) |
0.246423 | − | 0.969162i | \(-0.420745\pi\) | |||||||
\(252\) | 411717. | − | 713114.i | 0.408411 | − | 0.707388i | ||||
\(253\) | −77231.3 | + | 52655.4i | −0.0758563 | + | 0.0517180i | ||||
\(254\) | 584107. | + | 2.55914e6i | 0.568078 | + | 2.48891i | ||||
\(255\) | 94970.8 | − | 14314.5i | 0.0914618 | − | 0.0137856i | ||||
\(256\) | 449718. | − | 563929.i | 0.428885 | − | 0.537805i | ||||
\(257\) | 1.20516e6 | 1.13818 | 0.569092 | − | 0.822274i | \(-0.307295\pi\) | ||||
0.569092 | + | 0.822274i | \(0.307295\pi\) | |||||||
\(258\) | 97296.5 | − | 1.23126e6i | 0.0910013 | − | 1.15159i | ||||
\(259\) | −1.34020e6 | −1.24143 | ||||||||
\(260\) | −120703. | + | 151356.i | −0.110735 | + | 0.138857i | ||||
\(261\) | −294951. | + | 44456.7i | −0.268009 | + | 0.0403958i | ||||
\(262\) | −470797. | − | 2.06270e6i | −0.423721 | − | 1.85644i | ||||
\(263\) | 289409. | − | 197316.i | 0.258002 | − | 0.175903i | −0.427411 | − | 0.904058i | \(-0.640574\pi\) |
0.685413 | + | 0.728155i | \(0.259622\pi\) | |||||||
\(264\) | 5514.65 | − | 9551.65i | 0.00486976 | − | 0.00843468i | ||||
\(265\) | −118630. | − | 205474.i | −0.103772 | − | 0.179739i | ||||
\(266\) | 90802.5 | + | 43728.2i | 0.0786853 | + | 0.0378928i | ||||
\(267\) | 117264. | − | 36171.2i | 0.100667 | − | 0.0310517i | ||||
\(268\) | −28273.8 | + | 377287.i | −0.0240462 | + | 0.320875i | ||||
\(269\) | 78156.3 | − | 342425.i | 0.0658542 | − | 0.288526i | −0.931268 | − | 0.364334i | \(-0.881297\pi\) |
0.997122 | + | 0.0758083i | \(0.0241537\pi\) | |||||||
\(270\) | −98765.7 | − | 251651.i | −0.0824512 | − | 0.210082i | ||||
\(271\) | 43659.8 | + | 582599.i | 0.0361126 | + | 0.481889i | 0.985714 | + | 0.168428i | \(0.0538692\pi\) |
−0.949601 | + | 0.313460i | \(0.898512\pi\) | |||||||
\(272\) | 844383. | + | 127270.i | 0.692018 | + | 0.104305i | ||||
\(273\) | −1.52235e6 | + | 1.41253e6i | −1.23625 | + | 1.14708i | ||||
\(274\) | −2.32492e6 | + | 1.11962e6i | −1.87082 | + | 0.900937i | ||||
\(275\) | 65125.0 | + | 44401.5i | 0.0519297 | + | 0.0354051i | ||||
\(276\) | −592407. | + | 1.50943e6i | −0.468109 | + | 1.19272i | ||||
\(277\) | −734808. | − | 226658.i | −0.575406 | − | 0.177489i | −0.00662496 | − | 0.999978i | \(-0.502109\pi\) |
−0.568781 | + | 0.822489i | \(0.692585\pi\) | |||||||
\(278\) | 2.41886e6 | + | 2.24438e6i | 1.87715 | + | 1.74174i | ||||
\(279\) | 252057. | + | 316069.i | 0.193860 | + | 0.243093i | ||||
\(280\) | −43089.5 | − | 54032.5i | −0.0328455 | − | 0.0411870i | ||||
\(281\) | 1.81892e6 | + | 1.68771e6i | 1.37420 | + | 1.27507i | 0.924134 | + | 0.382069i | \(0.124789\pi\) |
0.450062 | + | 0.892997i | \(0.351402\pi\) | |||||||
\(282\) | −673860. | − | 207858.i | −0.504600 | − | 0.155648i | ||||
\(283\) | 681715. | − | 1.73698e6i | 0.505984 | − | 1.28923i | −0.418574 | − | 0.908183i | \(-0.637470\pi\) |
0.924558 | − | 0.381043i | \(-0.124435\pi\) | |||||||
\(284\) | −439556. | − | 299684.i | −0.323384 | − | 0.220479i | ||||
\(285\) | 4306.77 | − | 2074.03i | 0.00314079 | − | 0.00151253i | ||||
\(286\) | 104835. | − | 97272.6i | 0.0757863 | − | 0.0703194i | ||||
\(287\) | −3.21926e6 | − | 485226.i | −2.30702 | − | 0.347728i | ||||
\(288\) | −56431.7 | − | 753029.i | −0.0400906 | − | 0.534971i | ||||
\(289\) | −168161. | − | 428466.i | −0.118435 | − | 0.301767i | ||||
\(290\) | −47955.2 | + | 210106.i | −0.0334843 | + | 0.146704i | ||||
\(291\) | 91571.0 | − | 1.22193e6i | 0.0633907 | − | 0.845890i | ||||
\(292\) | −310872. | + | 95891.4i | −0.213366 | + | 0.0658146i | ||||
\(293\) | 767277. | + | 369501.i | 0.522136 | + | 0.251447i | 0.676337 | − | 0.736592i | \(-0.263566\pi\) |
−0.154202 | + | 0.988039i | \(0.549281\pi\) | |||||||
\(294\) | −2.33498e6 | − | 4.04431e6i | −1.57549 | − | 2.72883i | ||||
\(295\) | −53139.6 | + | 92040.5i | −0.0355520 | + | 0.0615778i | ||||
\(296\) | 153666. | − | 104768.i | 0.101941 | − | 0.0695021i | ||||
\(297\) | 23589.6 | + | 103353.i | 0.0155177 | + | 0.0679877i | ||||
\(298\) | 1.57659e6 | − | 237633.i | 1.02844 | − | 0.155012i | ||||
\(299\) | −1.52283e6 | + | 1.90957e6i | −0.985083 | + | 1.23526i | ||||
\(300\) | 1.36734e6 | 0.877148 | ||||||||
\(301\) | 2.50054e6 | + | 1.71975e6i | 1.59081 | + | 1.09408i | ||||
\(302\) | −720481. | −0.454574 | ||||||||
\(303\) | −840060. | + | 1.05340e6i | −0.525658 | + | 0.659155i | ||||
\(304\) | 42025.5 | − | 6334.32i | 0.0260813 | − | 0.00393112i | ||||
\(305\) | 9158.05 | + | 40124.0i | 0.00563707 | + | 0.0246976i | ||||
\(306\) | 607352. | − | 414085.i | 0.370797 | − | 0.252805i | ||||
\(307\) | 682383. | − | 1.18192e6i | 0.413221 | − | 0.715720i | −0.582019 | − | 0.813175i | \(-0.697737\pi\) |
0.995240 | + | 0.0974553i | \(0.0310703\pi\) | |||||||
\(308\) | 116648. | + | 202040.i | 0.0700648 | + | 0.121356i | ||||
\(309\) | −997271. | − | 480260.i | −0.594178 | − | 0.286141i | ||||
\(310\) | 279107. | − | 86093.0i | 0.164955 | − | 0.0508819i | ||||
\(311\) | 210.375 | − | 2807.26i | 0.000123337 | − | 0.00164581i | −0.997142 | − | 0.0755530i | \(-0.975928\pi\) |
0.997265 | + | 0.0739072i | \(0.0235468\pi\) | |||||||
\(312\) | 64128.7 | − | 280966.i | 0.0372963 | − | 0.163406i | ||||
\(313\) | −376231. | − | 958622.i | −0.217067 | − | 0.553078i | 0.780315 | − | 0.625387i | \(-0.215059\pi\) |
−0.997382 | + | 0.0723083i | \(0.976963\pi\) | |||||||
\(314\) | −271664. | − | 3.62510e6i | −0.155492 | − | 2.07489i | ||||
\(315\) | 178765. | + | 26944.5i | 0.101509 | + | 0.0153001i | ||||
\(316\) | −53338.0 | + | 49490.5i | −0.0300483 | + | 0.0278807i | ||||
\(317\) | 1.42787e6 | − | 687625.i | 0.798068 | − | 0.384329i | 0.0100250 | − | 0.999950i | \(-0.496809\pi\) |
0.788043 | + | 0.615621i | \(0.211095\pi\) | |||||||
\(318\) | 2.51217e6 | + | 1.71277e6i | 1.39310 | + | 0.949799i | ||||
\(319\) | 30874.8 | − | 78667.8i | 0.0169874 | − | 0.0432833i | ||||
\(320\) | −309463. | − | 95456.6i | −0.168940 | − | 0.0521112i | ||||
\(321\) | 140850. | + | 130690.i | 0.0762949 | + | 0.0707913i | ||||
\(322\) | −4.67982e6 | − | 5.86831e6i | −2.51530 | − | 3.15409i | ||||
\(323\) | 29777.0 | + | 37339.1i | 0.0158809 | + | 0.0199140i | ||||
\(324\) | 762076. | + | 707103.i | 0.403307 | + | 0.374214i | ||||
\(325\) | 1.96807e6 | + | 607068.i | 1.03355 | + | 0.318808i | ||||
\(326\) | −245041. | + | 624355.i | −0.127701 | + | 0.325377i | ||||
\(327\) | 2.16258e6 | + | 1.47442e6i | 1.11842 | + | 0.762523i | ||||
\(328\) | 407048. | − | 196024.i | 0.208911 | − | 0.100606i | ||||
\(329\) | 1.27021e6 | − | 1.17859e6i | 0.646974 | − | 0.600304i | ||||
\(330\) | 20612.2 | + | 3106.80i | 0.0104193 | + | 0.00157046i | ||||
\(331\) | 206399. | + | 2.75421e6i | 0.103547 | + | 1.38174i | 0.770880 | + | 0.636981i | \(0.219817\pi\) |
−0.667333 | + | 0.744760i | \(0.732564\pi\) | |||||||
\(332\) | −1.27609e6 | − | 3.25142e6i | −0.635382 | − | 1.61893i | ||||
\(333\) | −108258. | + | 474311.i | −0.0534996 | + | 0.234397i | ||||
\(334\) | −263279. | + | 3.51322e6i | −0.129137 | + | 1.72321i | ||||
\(335\) | −79375.1 | + | 24484.0i | −0.0386431 | + | 0.0119198i | ||||
\(336\) | −2.42477e6 | − | 1.16771e6i | −1.17172 | − | 0.564270i | ||||
\(337\) | 513722. | + | 889792.i | 0.246407 | + | 0.426790i | 0.962526 | − | 0.271188i | \(-0.0874167\pi\) |
−0.716119 | + | 0.697978i | \(0.754083\pi\) | |||||||
\(338\) | 335226. | − | 580629.i | 0.159605 | − | 0.276444i | ||||
\(339\) | 2.00310e6 | − | 1.36569e6i | 0.946681 | − | 0.645436i | ||||
\(340\) | −62733.6 | − | 274854.i | −0.0294308 | − | 0.128945i | ||||
\(341\) | −113258. | + | 17070.9i | −0.0527453 | + | 0.00795007i | ||||
\(342\) | 22810.6 | − | 28603.6i | 0.0105456 | − | 0.0132238i | ||||
\(343\) | 7.26809e6 | 3.33568 | ||||||||
\(344\) | −421147. | − | 1709.21i | −0.191884 | − | 0.000778751i | ||||
\(345\) | −356003. | −0.161030 | ||||||||
\(346\) | 859310. | − | 1.07754e6i | 0.385886 | − | 0.483886i | ||||
\(347\) | 1.52354e6 | − | 229637.i | 0.679251 | − | 0.102381i | 0.199650 | − | 0.979867i | \(-0.436019\pi\) |
0.479601 | + | 0.877487i | \(0.340781\pi\) | |||||||
\(348\) | −326220. | − | 1.42926e6i | −0.144399 | − | 0.632652i | ||||
\(349\) | −1.27844e6 | + | 871622.i | −0.561843 | + | 0.383058i | −0.810682 | − | 0.585487i | \(-0.800903\pi\) |
0.248839 | + | 0.968545i | \(0.419951\pi\) | |||||||
\(350\) | −3.16464e6 | + | 5.48132e6i | −1.38087 | + | 2.39175i | ||||
\(351\) | 1.38501e6 | + | 2.39891e6i | 0.600047 | + | 1.03931i | ||||
\(352\) | 192760. | + | 92828.1i | 0.0829200 | + | 0.0399322i | ||||
\(353\) | −2.52656e6 | + | 779341.i | −1.07918 | + | 0.332882i | −0.782854 | − | 0.622205i | \(-0.786237\pi\) |
−0.296324 | + | 0.955088i | \(0.595761\pi\) | |||||||
\(354\) | 101780. | − | 1.35816e6i | 0.0431672 | − | 0.576026i | ||||
\(355\) | 25990.3 | − | 113871.i | 0.0109456 | − | 0.0479559i | ||||
\(356\) | −131601. | − | 335315.i | −0.0550346 | − | 0.140226i | ||||
\(357\) | −226005. | − | 3.01582e6i | −0.0938527 | − | 1.25238i | ||||
\(358\) | 298833. | + | 45041.8i | 0.123231 | + | 0.0185741i | ||||
\(359\) | −1.91046e6 | + | 1.77265e6i | −0.782351 | + | 0.725915i | −0.966412 | − | 0.257000i | \(-0.917266\pi\) |
0.184061 | + | 0.982915i | \(0.441076\pi\) | |||||||
\(360\) | −22603.3 | + | 10885.2i | −0.00919212 | + | 0.00442669i | ||||
\(361\) | −2.04389e6 | − | 1.39350e6i | −0.825446 | − | 0.562779i | ||||
\(362\) | −1.72523e6 | + | 4.39581e6i | −0.691951 | + | 1.76306i | ||||
\(363\) | 1.89040e6 | + | 583112.i | 0.752988 | + | 0.232266i | ||||
\(364\) | 4.46864e6 | + | 4.14629e6i | 1.76775 | + | 1.64024i | ||||
\(365\) | −44532.8 | − | 55842.3i | −0.0174964 | − | 0.0219397i | ||||
\(366\) | −328836. | − | 412347.i | −0.128315 | − | 0.160902i | ||||
\(367\) | 403488. | + | 374382.i | 0.156374 | + | 0.145094i | 0.754480 | − | 0.656323i | \(-0.227889\pi\) |
−0.598106 | + | 0.801417i | \(0.704080\pi\) | |||||||
\(368\) | −3.02459e6 | − | 932963.i | −1.16425 | − | 0.359124i | ||||
\(369\) | −431771. | + | 1.10013e6i | −0.165077 | + | 0.420610i | ||||
\(370\) | 290425. | + | 198008.i | 0.110288 | + | 0.0751932i | ||||
\(371\) | −6.73116e6 | + | 3.24156e6i | −2.53896 | + | 1.22270i | ||||
\(372\) | −1.45652e6 | + | 1.35145e6i | −0.545706 | + | 0.506341i | ||||
\(373\) | −1.13621e6 | − | 171257.i | −0.422852 | − | 0.0637346i | −0.0658302 | − | 0.997831i | \(-0.520970\pi\) |
−0.357021 | + | 0.934096i | \(0.616208\pi\) | |||||||
\(374\) | 15563.5 | + | 207681.i | 0.00575347 | + | 0.0767747i | ||||
\(375\) | 221613. | + | 564660.i | 0.0813798 | + | 0.207352i | ||||
\(376\) | −53507.5 | + | 234432.i | −0.0195184 | + | 0.0855158i | ||||
\(377\) | 165020. | − | 2.20203e6i | 0.0597974 | − | 0.797941i | ||||
\(378\) | −8.13439e6 | + | 2.50913e6i | −2.92817 | + | 0.903220i | ||||
\(379\) | −2.61113e6 | − | 1.25745e6i | −0.933748 | − | 0.449669i | −0.0957884 | − | 0.995402i | \(-0.530537\pi\) |
−0.837959 | + | 0.545732i | \(0.816252\pi\) | |||||||
\(380\) | −7015.72 | − | 12151.6i | −0.00249237 | − | 0.00431692i | ||||
\(381\) | 1.96019e6 | − | 3.39515e6i | 0.691809 | − | 1.19825i | ||||
\(382\) | 4.01375e6 | − | 2.73653e6i | 1.40732 | − | 0.959492i | ||||
\(383\) | −213696. | − | 936264.i | −0.0744389 | − | 0.326138i | 0.923974 | − | 0.382455i | \(-0.124921\pi\) |
−0.998413 | + | 0.0563171i | \(0.982064\pi\) | |||||||
\(384\) | 860140. | − | 129645.i | 0.297674 | − | 0.0448671i | ||||
\(385\) | −31935.1 | + | 40045.4i | −0.0109804 | + | 0.0137689i | ||||
\(386\) | 6.83746e6 | 2.33575 | ||||||||
\(387\) | 810624. | − | 746050.i | 0.275133 | − | 0.253216i | ||||
\(388\) | −3.59686e6 | −1.21295 | ||||||||
\(389\) | −1.52993e6 | + | 1.91847e6i | −0.512623 | + | 0.642809i | −0.969024 | − | 0.246965i | \(-0.920567\pi\) |
0.456402 | + | 0.889774i | \(0.349138\pi\) | |||||||
\(390\) | 538591. | − | 81179.5i | 0.179307 | − | 0.0270262i | ||||
\(391\) | −791470. | − | 3.46766e6i | −0.261814 | − | 1.14708i | ||||
\(392\) | −1.31570e6 | + | 897029.i | −0.432456 | + | 0.294843i | ||||
\(393\) | −1.57994e6 | + | 2.73653e6i | −0.516011 | + | 0.893757i | ||||
\(394\) | −3.68171e6 | − | 6.37691e6i | −1.19484 | − | 2.06952i | ||||
\(395\) | −14392.8 | − | 6931.19i | −0.00464143 | − | 0.00223519i | ||||
\(396\) | 80926.5 | − | 24962.5i | 0.0259330 | − | 0.00799927i | ||||
\(397\) | 233856. | − | 3.12060e6i | 0.0744686 | − | 0.993714i | −0.827375 | − | 0.561650i | \(-0.810167\pi\) |
0.901843 | − | 0.432064i | \(-0.142214\pi\) | |||||||
\(398\) | −256104. | + | 1.12207e6i | −0.0810417 | + | 0.355067i | ||||
\(399\) | −54991.3 | − | 140115.i | −0.0172926 | − | 0.0440609i | ||||
\(400\) | 199459. | + | 2.66159e6i | 0.0623308 | + | 0.831747i | ||||
\(401\) | 30117.3 | + | 4539.45i | 0.00935309 | + | 0.00140975i | 0.153717 | − | 0.988115i | \(-0.450876\pi\) |
−0.144364 | + | 0.989525i | \(0.546114\pi\) | |||||||
\(402\) | 780321. | − | 724032.i | 0.240829 | − | 0.223456i | ||||
\(403\) | −2.69644e6 | + | 1.29854e6i | −0.827044 | + | 0.398283i | ||||
\(404\) | 3.26774e6 | + | 2.22791e6i | 0.996079 | + | 0.679115i | ||||
\(405\) | −83386.2 | + | 212465.i | −0.0252614 | + | 0.0643649i | ||||
\(406\) | 6.48459e6 | + | 2.00023e6i | 1.95239 | + | 0.602234i | ||||
\(407\) | −101042. | − | 93753.7i | −0.0302355 | − | 0.0280545i | ||||
\(408\) | 261669. | + | 328123.i | 0.0778220 | + | 0.0975857i | ||||
\(409\) | 1.95683e6 | + | 2.45379e6i | 0.578422 | + | 0.725318i | 0.981843 | − | 0.189696i | \(-0.0607504\pi\) |
−0.403421 | + | 0.915015i | \(0.632179\pi\) | |||||||
\(410\) | 625931. | + | 580779.i | 0.183894 | + | 0.170628i | ||||
\(411\) | 3.68272e6 | + | 1.13597e6i | 1.07539 | + | 0.331712i | ||||
\(412\) | −1.18703e6 | + | 3.02451e6i | −0.344524 | + | 0.877833i | ||||
\(413\) | 2.76508e6 | + | 1.88520e6i | 0.797687 | + | 0.543854i | ||||
\(414\) | −2.45488e6 | + | 1.18221e6i | −0.703929 | + | 0.338994i | ||||
\(415\) | 562145. | − | 521595.i | 0.160224 | − | 0.148666i | ||||
\(416\) | 5.52792e6 | + | 833200.i | 1.56613 | + | 0.236057i | ||||
\(417\) | −368281. | − | 4.91437e6i | −0.103714 | − | 1.38397i | ||||
\(418\) | 3786.91 | + | 9648.89i | 0.00106009 | + | 0.00270107i | ||||
\(419\) | 1.57331e6 | − | 6.89314e6i | 0.437805 | − | 1.91815i | 0.0437962 | − | 0.999040i | \(-0.486055\pi\) |
0.394008 | − | 0.919107i | \(-0.371088\pi\) | |||||||
\(420\) | −66400.1 | + | 886047.i | −0.0183673 | + | 0.245095i | ||||
\(421\) | 439740. | − | 135642.i | 0.120918 | − | 0.0372982i | −0.233706 | − | 0.972307i | \(-0.575085\pi\) |
0.354624 | + | 0.935009i | \(0.384609\pi\) | |||||||
\(422\) | 1.30213e6 | + | 627073.i | 0.355937 | + | 0.171410i | ||||
\(423\) | −314508. | − | 544744.i | −0.0854636 | − | 0.148027i | ||||
\(424\) | 518384. | − | 897867.i | 0.140035 | − | 0.242548i | ||||
\(425\) | −2.47813e6 | + | 1.68956e6i | −0.665505 | + | 0.453733i | ||||
\(426\) | 333065. | + | 1.45925e6i | 0.0889212 | + | 0.389589i | ||||
\(427\) | 1.28147e6 | − | 193150.i | 0.340125 | − | 0.0512655i | ||||
\(428\) | 351652. | − | 440958.i | 0.0927906 | − | 0.116356i | ||||
\(429\) | −213589. | −0.0560319 | ||||||||
\(430\) | −287789. | − | 742116.i | −0.0750590 | − | 0.193553i | ||||
\(431\) | −119786. | −0.0310607 | −0.0155304 | − | 0.999879i | \(-0.504944\pi\) | ||||
−0.0155304 | + | 0.999879i | \(0.504944\pi\) | |||||||
\(432\) | −2.23817e6 | + | 2.80658e6i | −0.577011 | + | 0.723549i | ||||
\(433\) | −1.62208e6 | + | 244489.i | −0.415770 | + | 0.0626672i | −0.353596 | − | 0.935398i | \(-0.615041\pi\) |
−0.0621734 | + | 0.998065i | \(0.519803\pi\) | |||||||
\(434\) | −2.04659e6 | − | 8.96670e6i | −0.521563 | − | 2.28512i | ||||
\(435\) | 265937. | − | 181312.i | 0.0673837 | − | 0.0459414i | ||||
\(436\) | 3.84148e6 | − | 6.65363e6i | 0.967792 | − | 1.67626i | ||||
\(437\) | −88512.9 | − | 153309.i | −0.0221719 | − | 0.0384029i | ||||
\(438\) | 824666. | + | 397138.i | 0.205396 | + | 0.0989137i | ||||
\(439\) | −723455. | + | 223156.i | −0.179164 | + | 0.0552647i | −0.383039 | − | 0.923732i | \(-0.625122\pi\) |
0.203875 | + | 0.978997i | \(0.434646\pi\) | |||||||
\(440\) | 531.173 | − | 7088.01i | 0.000130799 | − | 0.00174539i | ||||
\(441\) | 926916. | − | 4.06108e6i | 0.226957 | − | 0.994364i | ||||
\(442\) | 1.98813e6 | + | 5.06568e6i | 0.484049 | + | 1.23334i | ||||
\(443\) | −159339. | − | 2.12623e6i | −0.0385756 | − | 0.514756i | −0.982705 | − | 0.185180i | \(-0.940713\pi\) |
0.944129 | − | 0.329576i | \(-0.106906\pi\) | |||||||
\(444\) | −2.36442e6 | − | 356379.i | −0.569203 | − | 0.0857936i | ||||
\(445\) | 57973.5 | − | 53791.5i | 0.0138781 | − | 0.0128770i | ||||
\(446\) | 8.75646e6 | − | 4.21689e6i | 2.08445 | − | 1.00382i | ||||
\(447\) | −1.96748e6 | − | 1.34140e6i | −0.465737 | − | 0.317534i | ||||
\(448\) | −3.72560e6 | + | 9.49268e6i | −0.877004 | + | 2.23457i | ||||
\(449\) | −6.42171e6 | − | 1.98084e6i | −1.50326 | − | 0.463695i | −0.569623 | − | 0.821906i | \(-0.692911\pi\) |
−0.933641 | + | 0.358211i | \(0.883387\pi\) | |||||||
\(450\) | 1.68426e6 | + | 1.56276e6i | 0.392083 | + | 0.363800i | ||||
\(451\) | −208767. | − | 261786.i | −0.0483305 | − | 0.0606045i | ||||
\(452\) | −4.43698e6 | − | 5.56380e6i | −1.02151 | − | 1.28093i | ||||
\(453\) | 788795. | + | 731895.i | 0.180600 | + | 0.167573i | ||||
\(454\) | 1.76494e6 | + | 544413.i | 0.401875 | + | 0.123962i | ||||
\(455\) | −488958. | + | 1.24584e6i | −0.110724 | + | 0.282121i | ||||
\(456\) | 17258.5 | + | 11766.6i | 0.00388678 | + | 0.00264996i | ||||
\(457\) | 7.33422e6 | − | 3.53197e6i | 1.64272 | − | 0.791092i | 0.643039 | − | 0.765834i | \(-0.277673\pi\) |
0.999681 | − | 0.0252585i | \(-0.00804089\pi\) | |||||||
\(458\) | 7.87037e6 | − | 7.30263e6i | 1.75320 | − | 1.62673i | ||||
\(459\) | −3.98884e6 | − | 601221.i | −0.883721 | − | 0.133199i | ||||
\(460\) | 78092.6 | + | 1.04207e6i | 0.0172074 | + | 0.229617i | ||||
\(461\) | 1.54005e6 | + | 3.92399e6i | 0.337507 | + | 0.859955i | 0.994372 | + | 0.105946i | \(0.0337872\pi\) |
−0.656864 | + | 0.754009i | \(0.728118\pi\) | |||||||
\(462\) | 146059. | − | 639926.i | 0.0318363 | − | 0.139484i | ||||
\(463\) | 156601. | − | 2.08969e6i | 0.0339502 | − | 0.453034i | −0.954161 | − | 0.299293i | \(-0.903249\pi\) |
0.988111 | − | 0.153740i | \(-0.0491319\pi\) | |||||||
\(464\) | 2.73455e6 | − | 843496.i | 0.589645 | − | 0.181881i | ||||
\(465\) | −393028. | − | 189272.i | −0.0842929 | − | 0.0405933i | ||||
\(466\) | −2.65160e6 | − | 4.59271e6i | −0.565645 | − | 0.979726i | ||||
\(467\) | −4.34457e6 | + | 7.52502e6i | −0.921838 | + | 1.59667i | −0.125269 | + | 0.992123i | \(0.539979\pi\) |
−0.796569 | + | 0.604547i | \(0.793354\pi\) | |||||||
\(468\) | 1.82838e6 | − | 1.24657e6i | 0.385879 | − | 0.263088i | ||||
\(469\) | 582030. | + | 2.55004e6i | 0.122184 | + | 0.535322i | ||||
\(470\) | −449388. | + | 67734.3i | −0.0938375 | + | 0.0141437i | ||||
\(471\) | −3.38511e6 | + | 4.24479e6i | −0.703105 | + | 0.881666i | ||||
\(472\) | −464412. | −0.0959508 | ||||||||
\(473\) | 68219.7 | + | 304583.i | 0.0140203 | + | 0.0625969i | ||||
\(474\) | 204716. | 0.0418511 | ||||||||
\(475\) | −93072.3 | + | 116709.i | −0.0189272 | + | 0.0237340i | ||||
\(476\) | −8.77818e6 | + | 1.32310e6i | −1.77577 | + | 0.267655i | ||||
\(477\) | 603491. | + | 2.64407e6i | 0.121444 | + | 0.532080i | ||||
\(478\) | −9.17386e6 | + | 6.25463e6i | −1.83646 | + | 1.25208i | ||||
\(479\) | 2.89279e6 | − | 5.01046e6i | 0.576073 | − | 0.997788i | −0.419851 | − | 0.907593i | \(-0.637918\pi\) |
0.995924 | − | 0.0901952i | \(-0.0287491\pi\) | |||||||
\(480\) | 407420. | + | 705672.i | 0.0807122 | + | 0.139798i | ||||
\(481\) | −3.24499e6 | − | 1.56270e6i | −0.639514 | − | 0.307974i | ||||
\(482\) | 6.59807e6 | − | 2.03523e6i | 1.29360 | − | 0.399022i | ||||
\(483\) | −837728. | + | 1.11787e7i | −0.163394 | + | 2.18034i | ||||
\(484\) | 1.29218e6 | − | 5.66140e6i | 0.250732 | − | 1.09853i | ||||
\(485\) | −288505. | − | 735100.i | −0.0556929 | − | 0.141903i | ||||
\(486\) | 399008. | + | 5.32439e6i | 0.0766286 | + | 1.02254i | ||||
\(487\) | −5.79390e6 | − | 873290.i | −1.10700 | − | 0.166854i | −0.429996 | − | 0.902831i | \(-0.641485\pi\) |
−0.677006 | + | 0.735977i | \(0.736723\pi\) | |||||||
\(488\) | −131832. | + | 122323.i | −0.0250595 | + | 0.0232518i | ||||
\(489\) | 902522. | − | 434632.i | 0.170681 | − | 0.0821957i | ||||
\(490\) | −2.48664e6 | − | 1.69536e6i | −0.467867 | − | 0.318986i | ||||
\(491\) | 258432. | − | 658473.i | 0.0483773 | − | 0.123263i | −0.904643 | − | 0.426171i | \(-0.859862\pi\) |
0.953020 | + | 0.302908i | \(0.0979574\pi\) | |||||||
\(492\) | −5.55048e6 | − | 1.71210e6i | −1.03376 | − | 0.318871i | ||||
\(493\) | 2.35731e6 | + | 2.18726e6i | 0.436817 | + | 0.405307i | ||||
\(494\) | 168869. | + | 211755.i | 0.0311338 | + | 0.0390406i | ||||
\(495\) | 11592.8 | + | 14536.9i | 0.00212655 | + | 0.00266661i | ||||
\(496\) | −2.84314e6 | − | 2.63804e6i | −0.518912 | − | 0.481480i | ||||
\(497\) | −3.51446e6 | − | 1.08407e6i | −0.638215 | − | 0.196863i | ||||
\(498\) | −3.59030e6 | + | 9.14792e6i | −0.648719 | + | 1.65291i | ||||
\(499\) | 2.95878e6 | + | 2.01726e6i | 0.531937 | + | 0.362669i | 0.799305 | − | 0.600926i | \(-0.205201\pi\) |
−0.267367 | + | 0.963595i | \(0.586154\pi\) | |||||||
\(500\) | 1.60423e6 | − | 772557.i | 0.286974 | − | 0.138199i | ||||
\(501\) | 3.85712e6 | − | 3.57888e6i | 0.686544 | − | 0.637020i | ||||
\(502\) | 1.16742e7 | + | 1.75960e6i | 2.06760 | + | 0.311640i | ||||
\(503\) | −151364. | − | 2.01982e6i | −0.0266749 | − | 0.355952i | −0.994531 | − | 0.104446i | \(-0.966693\pi\) |
0.967856 | − | 0.251506i | \(-0.0809259\pi\) | |||||||
\(504\) | 288612. | + | 735371.i | 0.0506102 | + | 0.128953i | ||||
\(505\) | −193217. | + | 846538.i | −0.0337145 | + | 0.147713i | ||||
\(506\) | 57689.1 | − | 769808.i | 0.0100165 | − | 0.133661i | ||||
\(507\) | −956839. | + | 295146.i | −0.165318 | + | 0.0509937i | ||||
\(508\) | −1.03681e7 | − | 4.99302e6i | −1.78254 | − | 0.858428i | ||||
\(509\) | 296417. | + | 513409.i | 0.0507118 | + | 0.0878353i | 0.890267 | − | 0.455439i | \(-0.150518\pi\) |
−0.839555 | + | 0.543274i | \(0.817184\pi\) | |||||||
\(510\) | −396597. | + | 686926.i | −0.0675186 | + | 0.116946i | ||||
\(511\) | −1.85827e6 | + | 1.26695e6i | −0.314816 | + | 0.214638i | ||||
\(512\) | 1.82771e6 | + | 8.00772e6i | 0.308129 | + | 1.35000i | ||||
\(513\) | −198527. | + | 29923.2i | −0.0333063 | + | 0.00502012i | ||||
\(514\) | −6.20563e6 | + | 7.78161e6i | −1.03604 | + | 1.29916i | ||||
\(515\) | −713339. | −0.118516 | ||||||||
\(516\) | 3.95422e6 | + | 3.69896e6i | 0.653787 | + | 0.611582i | ||||
\(517\) | 178213. | 0.0293234 | ||||||||
\(518\) | 6.90098e6 | − | 8.65356e6i | 1.13002 | − | 1.41700i | ||||
\(519\) | −2.03540e6 | + | 306787.i | −0.331689 | + | 0.0499941i | ||||
\(520\) | −41328.1 | − | 181070.i | −0.00670250 | − | 0.0293656i | ||||
\(521\) | −5.33008e6 | + | 3.63399e6i | −0.860279 | + | 0.586529i | −0.911103 | − | 0.412179i | \(-0.864768\pi\) |
0.0508235 | + | 0.998708i | \(0.483815\pi\) | |||||||
\(522\) | 1.23171e6 | − | 2.13339e6i | 0.197848 | − | 0.342684i | ||||
\(523\) | 2.31907e6 | + | 4.01676e6i | 0.370732 | + | 0.642127i | 0.989678 | − | 0.143306i | \(-0.0457734\pi\) |
−0.618946 | + | 0.785434i | \(0.712440\pi\) | |||||||
\(524\) | 8.35681e6 | + | 4.02443e6i | 1.32957 | + | 0.640289i | ||||
\(525\) | 9.03286e6 | − | 2.78627e6i | 1.43030 | − | 0.441189i | ||||
\(526\) | −216179. | + | 2.88471e6i | −0.0340682 | + | 0.454608i | ||||
\(527\) | 969827. | − | 4.24909e6i | 0.152113 | − | 0.666453i | ||||
\(528\) | −101125. | − | 257662.i | −0.0157860 | − | 0.0402222i | ||||
\(529\) | 504257. | + | 6.72884e6i | 0.0783453 | + | 1.04544i | ||||
\(530\) | 1.93758e6 | + | 292043.i | 0.299619 | + | 0.0451603i | ||||
\(531\) | 890547. | − | 826307.i | 0.137063 | − | 0.127176i | ||||
\(532\) | −398076. | + | 191703.i | −0.0609799 | + | 0.0293664i | ||||
\(533\) | −7.22890e6 | − | 4.92858e6i | −1.10218 | − | 0.751457i | ||||
\(534\) | −370263. | + | 943416.i | −0.0561898 | + | 0.143169i | ||||
\(535\) | 118326. | + | 36498.7i | 0.0178729 | + | 0.00551307i | ||||
\(536\) | −266079. | − | 246885.i | −0.0400036 | − | 0.0371179i | ||||
\(537\) | −281412. | − | 352880.i | −0.0421121 | − | 0.0528069i | ||||
\(538\) | 1.80856e6 | + | 2.26786e6i | 0.269388 | + | 0.337801i | ||||
\(539\) | 865132. | + | 802726.i | 0.128266 | + | 0.119013i | ||||
\(540\) | 1.13250e6 | + | 349331.i | 0.167130 | + | 0.0515529i | ||||
\(541\) | 1.27385e6 | − | 3.24572e6i | 0.187122 | − | 0.476780i | −0.806270 | − | 0.591548i | \(-0.798517\pi\) |
0.993392 | + | 0.114768i | \(0.0366124\pi\) | |||||||
\(542\) | −3.98660e6 | − | 2.71802e6i | −0.582913 | − | 0.397424i | ||||
\(543\) | 6.35427e6 | − | 3.06005e6i | 0.924839 | − | 0.445379i | ||||
\(544\) | −5.96783e6 | + | 5.53734e6i | −0.864608 | + | 0.802239i | ||||
\(545\) | 1.66795e6 | + | 251403.i | 0.240542 | + | 0.0362559i | ||||
\(546\) | −1.28170e6 | − | 1.71031e7i | −0.183994 | − | 2.45524i | ||||
\(547\) | 3.14472e6 | + | 8.01261e6i | 0.449380 | + | 1.14500i | 0.958699 | + | 0.284423i | \(0.0918021\pi\) |
−0.509319 | + | 0.860578i | \(0.670103\pi\) | |||||||
\(548\) | 2.51731e6 | − | 1.10291e7i | 0.358084 | − | 1.56887i | ||||
\(549\) | 35156.2 | − | 469126.i | 0.00497818 | − | 0.0664292i | ||||
\(550\) | −622038. | + | 191873.i | −0.0876819 | + | 0.0270463i | ||||
\(551\) | 144200. | + | 69443.1i | 0.0202342 | + | 0.00974428i | ||||
\(552\) | −777820. | − | 1.34722e6i | −0.108650 | − | 0.188188i | ||||
\(553\) | −251512. | + | 435631.i | −0.0349740 | + | 0.0605767i | ||||
\(554\) | 5.24719e6 | − | 3.57747e6i | 0.726361 | − | 0.495224i | ||||
\(555\) | −116817. | − | 511809.i | −0.0160981 | − | 0.0705302i | ||||
\(556\) | −1.43043e7 | + | 2.15603e6i | −1.96237 | + | 0.295779i | ||||
\(557\) | 5.60917e6 | − | 7.03367e6i | 0.766056 | − | 0.960604i | −0.233876 | − | 0.972266i | \(-0.575141\pi\) |
0.999932 | + | 0.0116628i | \(0.00371246\pi\) | |||||||
\(558\) | −3.33872e6 | −0.453936 | ||||||||
\(559\) | 4.04922e6 | + | 7.07965e6i | 0.548077 | + | 0.958257i | ||||
\(560\) | −1.73442e6 | −0.233714 | ||||||||
\(561\) | 193932. | − | 243183.i | 0.0260161 | − | 0.0326232i | ||||
\(562\) | −2.02634e7 | + | 3.05422e6i | −2.70627 | + | 0.407905i | ||||
\(563\) | 1.16640e6 | + | 5.11032e6i | 0.155087 | + | 0.679481i | 0.991360 | + | 0.131168i | \(0.0418727\pi\) |
−0.836273 | + | 0.548313i | \(0.815270\pi\) | |||||||
\(564\) | 2.55435e6 | − | 1.74152e6i | 0.338129 | − | 0.230532i | ||||
\(565\) | 781197. | − | 1.35307e6i | 0.102953 | − | 0.178320i | ||||
\(566\) | 7.70522e6 | + | 1.33458e7i | 1.01098 | + | 1.75107i | ||||
\(567\) | 6.47529e6 | + | 3.11834e6i | 0.845866 | + | 0.407348i | ||||
\(568\) | 487708. | − | 150438.i | 0.0634291 | − | 0.0195653i | ||||
\(569\) | 414449. | − | 5.53044e6i | 0.0536649 | − | 0.716109i | −0.903873 | − | 0.427801i | \(-0.859288\pi\) |
0.957538 | − | 0.288308i | \(-0.0930926\pi\) | |||||||
\(570\) | −8784.63 | + | 38488.0i | −0.00113249 | + | 0.00496178i | ||||
\(571\) | 2.52764e6 | + | 6.44033e6i | 0.324433 | + | 0.826642i | 0.996298 | + | 0.0859684i | \(0.0273984\pi\) |
−0.671865 | + | 0.740674i | \(0.734506\pi\) | |||||||
\(572\) | 46852.7 | + | 625206.i | 0.00598749 | + | 0.0798975i | ||||
\(573\) | −7.17421e6 | − | 1.08134e6i | −0.912824 | − | 0.137586i | ||||
\(574\) | 1.97097e7 | − | 1.82879e7i | 2.49690 | − | 2.31678i | ||||
\(575\) | 1.00164e7 | − | 4.82366e6i | 1.26341 | − | 0.608425i | ||||
\(576\) | 3.05861e6 | + | 2.08532e6i | 0.384121 | + | 0.261889i | ||||
\(577\) | −1.96612e6 | + | 5.00960e6i | −0.245851 | + | 0.626418i | −0.999525 | − | 0.0308311i | \(-0.990185\pi\) |
0.753674 | + | 0.657249i | \(0.228280\pi\) | |||||||
\(578\) | 3.63246e6 | + | 1.12047e6i | 0.452253 | + | 0.139501i | ||||
\(579\) | −7.48578e6 | − | 6.94579e6i | −0.927984 | − | 0.861044i | ||||
\(580\) | −589064. | − | 738663.i | −0.0727097 | − | 0.0911751i | ||||
\(581\) | −1.50556e7 | − | 1.88791e7i | −1.85036 | − | 2.32028i | ||||
\(582\) | 7.41837e6 | + | 6.88324e6i | 0.907822 | + | 0.842336i | ||||
\(583\) | −734247. | − | 226485.i | −0.0894686 | − | 0.0275974i | ||||
\(584\) | 114026. | − | 290534.i | 0.0138348 | − | 0.0352504i | ||||
\(585\) | 401420. | + | 273683.i | 0.0484963 | + | 0.0330642i | ||||
\(586\) | −6.33670e6 | + | 3.05159e6i | −0.762288 | + | 0.367099i | ||||
\(587\) | −8.34286e6 | + | 7.74104e6i | −0.999354 | + | 0.927265i | −0.997351 | − | 0.0727325i | \(-0.976828\pi\) |
−0.00200301 | + | 0.999998i | \(0.500638\pi\) | |||||||
\(588\) | 2.02443e7 | + | 3.05134e6i | 2.41468 | + | 0.363955i | ||||
\(589\) | −16210.3 | − | 216312.i | −0.00192532 | − | 0.0256917i | ||||
\(590\) | −320670. | − | 817053.i | −0.0379252 | − | 0.0966318i | ||||
\(591\) | −2.44713e6 | + | 1.07216e7i | −0.288197 | + | 1.26267i | ||||
\(592\) | 348803. | − | 4.65445e6i | 0.0409049 | − | 0.545838i | ||||
\(593\) | −8.37002e6 | + | 2.58181e6i | −0.977439 | + | 0.301500i | −0.742008 | − | 0.670391i | \(-0.766126\pi\) |
−0.235431 | + | 0.971891i | \(0.575650\pi\) | |||||||
\(594\) | −788805. | − | 379868.i | −0.0917283 | − | 0.0441740i | ||||
\(595\) | −974507. | − | 1.68790e6i | −0.112848 | − | 0.195458i | ||||
\(596\) | −3.49490e6 | + | 6.05334e6i | −0.403013 | + | 0.698039i | ||||
\(597\) | 1.42023e6 | − | 968296.i | 0.163088 | − | 0.111192i | ||||
\(598\) | −4.48852e6 | − | 1.96655e7i | −0.513275 | − | 2.24881i | ||||
\(599\) | −1.21156e7 | + | 1.82614e6i | −1.37968 | + | 0.207953i | −0.796622 | − | 0.604477i | \(-0.793382\pi\) |
−0.583058 | + | 0.812431i | \(0.698144\pi\) | |||||||
\(600\) | −817886. | + | 1.02560e6i | −0.0927501 | + | 0.116305i | ||||
\(601\) | −9.99106e6 | −1.12830 | −0.564151 | − | 0.825672i | \(-0.690796\pi\) | ||||
−0.564151 | + | 0.825672i | \(0.690796\pi\) | |||||||
\(602\) | −2.39801e7 | + | 7.29042e6i | −2.69686 | + | 0.819901i | ||||
\(603\) | 949499. | 0.106341 | ||||||||
\(604\) | 1.96934e6 | − | 2.46947e6i | 0.219648 | − | 0.275430i | ||||
\(605\) | 1.26068e6 | − | 190017.i | 0.140029 | − | 0.0211059i | ||||
\(606\) | −2.47607e6 | − | 1.08484e7i | −0.273893 | − | 1.20000i | ||||
\(607\) | −791583. | + | 539692.i | −0.0872016 | + | 0.0594531i | −0.606136 | − | 0.795361i | \(-0.707281\pi\) |
0.518934 | + | 0.854814i | \(0.326329\pi\) | |||||||
\(608\) | −202593. | + | 350902.i | −0.0222263 | + | 0.0384970i | ||||
\(609\) | −5.06753e6 | − | 8.77722e6i | −0.553672 | − | 0.958989i | ||||
\(610\) | −306234. | − | 147474.i | −0.0333218 | − | 0.0160469i | ||||
\(611\) | 4.44978e6 | − | 1.37257e6i | 0.482209 | − | 0.148742i | ||||
\(612\) | −240823. | + | 3.21356e6i | −0.0259908 | + | 0.346823i | ||||
\(613\) | 2.39500e6 | − | 1.04932e7i | 0.257428 | − | 1.12786i | −0.666563 | − | 0.745449i | \(-0.732235\pi\) |
0.923991 | − | 0.382415i | \(-0.124908\pi\) | |||||||
\(614\) | 4.11782e6 | + | 1.04920e7i | 0.440805 | + | 1.12315i | ||||
\(615\) | −95300.4 | − | 1.27169e6i | −0.0101603 | − | 0.135580i | ||||
\(616\) | −221318. | − | 33358.3i | −0.0234998 | − | 0.00354203i | ||||
\(617\) | 1.17286e7 | − | 1.08826e7i | 1.24032 | − | 1.15085i | 0.257505 | − | 0.966277i | \(-0.417100\pi\) |
0.982818 | − | 0.184575i | \(-0.0590908\pi\) | |||||||
\(618\) | 8.23614e6 | − | 3.96632e6i | 0.867466 | − | 0.417750i | ||||
\(619\) | 5.73269e6 | + | 3.90848e6i | 0.601356 | + | 0.409998i | 0.825373 | − | 0.564587i | \(-0.190965\pi\) |
−0.224017 | + | 0.974585i | \(0.571917\pi\) | |||||||
\(620\) | −467814. | + | 1.19197e6i | −0.0488758 | + | 0.124533i | ||||
\(621\) | 1.42881e7 | + | 4.40729e6i | 1.48677 | + | 0.458609i | ||||
\(622\) | 17042.9 | + | 15813.5i | 0.00176631 | + | 0.00163890i | ||||
\(623\) | −1.55266e6 | − | 1.94698e6i | −0.160272 | − | 0.200975i | ||||
\(624\) | −4.50944e6 | − | 5.65466e6i | −0.463619 | − | 0.581360i | ||||
\(625\) | −6.72740e6 | − | 6.24211e6i | −0.688886 | − | 0.639192i | ||||
\(626\) | 8.12702e6 | + | 2.50685e6i | 0.828887 | + | 0.255678i | ||||
\(627\) | 5655.77 | − | 14410.7i | 0.000574544 | − | 0.00146391i | ||||
\(628\) | 1.31677e7 | + | 8.97758e6i | 1.33233 | + | 0.908365i | ||||
\(629\) | 4.72557e6 | − | 2.27572e6i | 0.476242 | − | 0.229346i | ||||
\(630\) | −1.09448e6 | + | 1.01553e6i | −0.109864 | + | 0.101939i | ||||
\(631\) | 4.01623e6 | + | 605350.i | 0.401555 | + | 0.0605247i | 0.346715 | − | 0.937970i | \(-0.387297\pi\) |
0.0548401 | + | 0.998495i | \(0.482535\pi\) | |||||||
\(632\) | −5216.57 | − | 69610.3i | −0.000519508 | − | 0.00693236i | ||||
\(633\) | −788588. | − | 2.00929e6i | −0.0782242 | − | 0.199312i | ||||
\(634\) | −2.91246e6 | + | 1.27603e7i | −0.287764 | + | 1.26078i | ||||
\(635\) | 188807. | − | 2.51945e6i | 0.0185816 | − | 0.247954i | ||||
\(636\) | −1.27373e7 | + | 3.92892e6i | −1.24863 | + | 0.385151i | ||||
\(637\) | 2.77838e7 | + | 1.33800e7i | 2.71296 | + | 1.30649i | ||||
\(638\) | 348969. | + | 604433.i | 0.0339419 | + | 0.0587890i | ||||
\(639\) | −667551. | + | 1.15623e6i | −0.0646743 | + | 0.112019i | ||||
\(640\) | 463175. | − | 315788.i | 0.0446988 | − | 0.0304751i | ||||
\(641\) | 1.37042e6 | + | 6.00422e6i | 0.131738 | + | 0.577180i | 0.997105 | + | 0.0760415i | \(0.0242282\pi\) |
−0.865367 | + | 0.501139i | \(0.832915\pi\) | |||||||
\(642\) | −1.56912e6 | + | 236507.i | −0.150251 | + | 0.0226468i | ||||
\(643\) | 5.36129e6 | − | 6.72285e6i | 0.511378 | − | 0.641248i | −0.457375 | − | 0.889274i | \(-0.651210\pi\) |
0.968753 | + | 0.248026i | \(0.0797818\pi\) | |||||||
\(644\) | 3.29055e7 | 3.12646 | ||||||||
\(645\) | −438796. | + | 1.10483e6i | −0.0415302 | + | 0.104567i | ||||
\(646\) | −394423. | −0.0371861 | ||||||||
\(647\) | 897546. | − | 1.12549e6i | 0.0842939 | − | 0.105701i | −0.737896 | − | 0.674914i | \(-0.764181\pi\) |
0.822190 | + | 0.569213i | \(0.192752\pi\) | |||||||
\(648\) | −986218. | + | 148649.i | −0.0922647 | + | 0.0139067i | ||||
\(649\) | 76589.9 | + | 335562.i | 0.00713772 | + | 0.0312724i | ||||
\(650\) | −1.40538e7 | + | 9.58169e6i | −1.30469 | + | 0.889526i | ||||
\(651\) | −6.86811e6 | + | 1.18959e7i | −0.635162 | + | 1.10013i | ||||
\(652\) | −1.47021e6 | − | 2.54647e6i | −0.135444 | − | 0.234596i | ||||
\(653\) | 5.76812e6 | + | 2.77778e6i | 0.529360 | + | 0.254926i | 0.679419 | − | 0.733751i | \(-0.262232\pi\) |
−0.150059 | + | 0.988677i | \(0.547946\pi\) | |||||||
\(654\) | −2.06558e7 | + | 6.37147e6i | −1.88842 | + | 0.582499i | ||||
\(655\) | −152180. | + | 2.03071e6i | −0.0138597 | + | 0.184945i | ||||
\(656\) | 2.52301e6 | − | 1.10540e7i | 0.228907 | − | 1.00291i | ||||
\(657\) | 298279. | + | 760002.i | 0.0269593 | + | 0.0686912i | ||||
\(658\) | 1.06942e6 | + | 1.42704e7i | 0.0962906 | + | 1.28491i | ||||
\(659\) | 1.97270e7 | + | 2.97337e6i | 1.76949 | + | 0.266707i | 0.951305 | − | 0.308251i | \(-0.0997437\pi\) |
0.818183 | + | 0.574958i | \(0.194982\pi\) | |||||||
\(660\) | −66989.4 | + | 62157.1i | −0.00598613 | + | 0.00555432i | ||||
\(661\) | 1.21075e7 | − | 5.83066e6i | 1.07783 | − | 0.519056i | 0.191208 | − | 0.981550i | \(-0.438760\pi\) |
0.886622 | + | 0.462494i | \(0.153045\pi\) | |||||||
\(662\) | −1.88464e7 | − | 1.28493e7i | −1.67141 | − | 1.13955i | ||||
\(663\) | 2.96929e6 | − | 7.56563e6i | 0.262343 | − | 0.668438i | ||||
\(664\) | 3.20209e6 | + | 987712.i | 0.281847 | + | 0.0869381i | ||||
\(665\) | −71108.7 | − | 65979.3i | −0.00623546 | − | 0.00578567i | ||||
\(666\) | −2.50513e6 | − | 3.14134e6i | −0.218849 | − | 0.274428i | ||||
\(667\) | −7.43185e6 | − | 9.31925e6i | −0.646818 | − | 0.811085i | ||||
\(668\) | −1.13220e7 | − | 1.05053e7i | −0.981708 | − | 0.910892i | ||||
\(669\) | −1.38704e7 | − | 4.27846e6i | −1.19819 | − | 0.369592i | ||||
\(670\) | 250628. | − | 638590.i | 0.0215696 | − | 0.0549586i | ||||
\(671\) | 110126. | + | 75082.6i | 0.00944242 | + | 0.00643774i | ||||
\(672\) | 2.31172e7 | − | 1.11327e7i | 1.97475 | − | 0.950990i | ||||
\(673\) | −5.88470e6 | + | 5.46021e6i | −0.500826 | + | 0.464699i | −0.889669 | − | 0.456605i | \(-0.849065\pi\) |
0.388843 | + | 0.921304i | \(0.372875\pi\) | |||||||
\(674\) | −8.39056e6 | − | 1.26467e6i | −0.711444 | − | 0.107233i | ||||
\(675\) | −942237. | − | 1.25733e7i | −0.0795977 | − | 1.06216i | ||||
\(676\) | 1.07383e6 | + | 2.73607e6i | 0.0903790 | + | 0.230282i | ||||
\(677\) | −2.21809e6 | + | 9.71810e6i | −0.185998 | + | 0.814910i | 0.792701 | + | 0.609610i | \(0.208674\pi\) |
−0.978699 | + | 0.205300i | \(0.934183\pi\) | |||||||
\(678\) | −1.49625e6 | + | 1.99660e7i | −0.125006 | + | 1.66808i | ||||
\(679\) | −2.37615e7 | + | 7.32944e6i | −1.97787 | + | 0.610093i | ||||
\(680\) | 243684. | + | 117352.i | 0.0202094 | + | 0.00973235i | ||||
\(681\) | −1.37925e6 | − | 2.38894e6i | −0.113966 | − | 0.197395i | ||||
\(682\) | 472964. | − | 819198.i | 0.0389375 | − | 0.0674416i | ||||
\(683\) | 6.03986e6 | − | 4.11790e6i | 0.495421 | − | 0.337773i | −0.289697 | − | 0.957118i | \(-0.593554\pi\) |
0.785118 | + | 0.619346i | \(0.212602\pi\) | |||||||
\(684\) | 35690.0 | + | 156368.i | 0.00291680 | + | 0.0127793i | ||||
\(685\) | 2.45595e6 | − | 370175.i | 0.199983 | − | 0.0301426i | ||||
\(686\) | −3.74249e7 | + | 4.69293e7i | −3.03634 | + | 3.80745i | ||||
\(687\) | −1.60349e7 | −1.29621 | ||||||||
\(688\) | −6.62338e6 | + | 8.23666e6i | −0.533469 | + | 0.663407i | ||||
\(689\) | −2.00776e7 | −1.61125 | ||||||||
\(690\) | 1.83313e6 | − | 2.29868e6i | 0.146579 | − | 0.183804i | ||||
\(691\) | 9.06730e6 | − | 1.36667e6i | 0.722408 | − | 0.108886i | 0.222461 | − | 0.974942i | \(-0.428591\pi\) |
0.499947 | + | 0.866056i | \(0.333353\pi\) | |||||||
\(692\) | 1.34450e6 | + | 5.89062e6i | 0.106732 | + | 0.467623i | ||||
\(693\) | 483747. | − | 329813.i | 0.0382636 | − | 0.0260876i | ||||
\(694\) | −6.36228e6 | + | 1.10198e7i | −0.501435 | + | 0.868510i | ||||
\(695\) | −1.58799e6 | − | 2.75047e6i | −0.124705 | − | 0.215996i | ||||
\(696\) | 1.26718e6 | + | 610240.i | 0.0991549 | + | 0.0477505i | ||||
\(697\) | 1.21751e7 | − | 3.75552e6i | 0.949272 | − | 0.292812i | ||||
\(698\) | 954947. | − | 1.27429e7i | 0.0741892 | − | 0.989987i | ||||
\(699\) | −1.76245e6 | + | 7.72180e6i | −0.136434 | + | 0.597758i | ||||
\(700\) | −1.01373e7 | − | 2.58293e7i | −0.781944 | − | 1.99236i | ||||
\(701\) | 562284. | + | 7.50315e6i | 0.0432176 | + | 0.576698i | 0.976213 | + | 0.216811i | \(0.0695657\pi\) |
−0.932996 | + | 0.359887i | \(0.882815\pi\) | |||||||
\(702\) | −2.26212e7 | − | 3.40960e6i | −1.73250 | − | 0.261132i | ||||
\(703\) | 191361. | − | 177557.i | 0.0146038 | − | 0.0135503i | ||||
\(704\) | −944945. | + | 455061.i | −0.0718579 | + | 0.0346050i | ||||
\(705\) | 560805. | + | 382351.i | 0.0424951 | + | 0.0289727i | ||||
\(706\) | 7.97765e6 | − | 2.03267e7i | 0.602370 | − | 1.53481i | ||||
\(707\) | 2.61271e7 | + | 8.05914e6i | 1.96582 | + | 0.606374i | ||||
\(708\) | 4.37693e6 | + | 4.06119e6i | 0.328160 | + | 0.304488i | ||||
\(709\) | 6.66196e6 | + | 8.35384e6i | 0.497722 | + | 0.624124i | 0.965714 | − | 0.259609i | \(-0.0835938\pi\) |
−0.467992 | + | 0.883733i | \(0.655022\pi\) | |||||||
\(710\) | 601424. | + | 754162.i | 0.0447749 | + | 0.0561460i | ||||
\(711\) | 133858. | + | 124202.i | 0.00993045 | + | 0.00921411i | ||||
\(712\) | 330228. | + | 101862.i | 0.0244126 | + | 0.00753028i | ||||
\(713\) | −5.90211e6 | + | 1.50383e7i | −0.434794 | + | 1.10784i | ||||
\(714\) | 2.06366e7 | + | 1.40698e7i | 1.51493 | + | 1.03286i | ||||
\(715\) | −124017. | + | 59723.4i | −0.00907227 | + | 0.00436898i | ||||
\(716\) | −971201. | + | 901143.i | −0.0707989 | + | 0.0656918i | ||||
\(717\) | 1.63974e7 | + | 2.47151e6i | 1.19118 | + | 0.179542i | ||||
\(718\) | −1.60846e6 | − | 2.14634e7i | −0.116439 | − | 1.55377i | ||||
\(719\) | −198211. | − | 505033.i | −0.0142990 | − | 0.0364333i | 0.923546 | − | 0.383488i | \(-0.125277\pi\) |
−0.937845 | + | 0.347054i | \(0.887182\pi\) | |||||||
\(720\) | −140102. | + | 613828.i | −0.0100720 | + | 0.0441281i | ||||
\(721\) | −1.67859e6 | + | 2.23993e7i | −0.120256 | + | 1.60471i | ||||
\(722\) | 1.95221e7 | − | 6.02176e6i | 1.39374 | − | 0.429913i | ||||
\(723\) | −9.29116e6 | − | 4.47439e6i | −0.661035 | − | 0.318337i | ||||
\(724\) | −1.03511e7 | − | 1.79286e7i | −0.733906 | − | 1.27116i | ||||
\(725\) | −5.02565e6 | + | 8.70468e6i | −0.355097 | + | 0.615046i | ||||
\(726\) | −1.34992e7 | + | 9.20358e6i | −0.950530 | + | 0.648060i | ||||
\(727\) | 6.19384e6 | + | 2.71370e7i | 0.434635 | + | 1.90426i | 0.426922 | + | 0.904288i | \(0.359598\pi\) |
0.00771216 | + | 0.999970i | \(0.497545\pi\) | |||||||
\(728\) | −5.78296e6 | + | 871641.i | −0.404410 | + | 0.0609550i | ||||
\(729\) | 9.32222e6 | − | 1.16897e7i | 0.649681 | − | 0.814674i | ||||
\(730\) | 589877. | 0.0409689 | ||||||||
\(731\) | −1.17372e7 | − | 1.81784e6i | −0.812399 | − | 0.125823i | ||||
\(732\) | 2.31216e6 | 0.159493 | ||||||||
\(733\) | 7.53982e6 | − | 9.45464e6i | 0.518324 | − | 0.649958i | −0.451928 | − | 0.892054i | \(-0.649264\pi\) |
0.970252 | + | 0.242097i | \(0.0778351\pi\) | |||||||
\(734\) | −4.49499e6 | + | 677510.i | −0.307956 | + | 0.0464169i | ||||
\(735\) | 1.00020e6 | + | 4.38214e6i | 0.0682915 | + | 0.299204i | ||||
\(736\) | 2.49329e7 | − | 1.69990e7i | 1.69660 | − | 1.15672i | ||||
\(737\) | −134506. | + | 232972.i | −0.00912166 | + | 0.0157992i | ||||
\(738\) | −4.88018e6 | − | 8.45271e6i | −0.329833 | − | 0.571288i | ||||
\(739\) | −7.99416e6 | − | 3.84978e6i | −0.538470 | − | 0.259313i | 0.144823 | − | 0.989458i | \(-0.453739\pi\) |
−0.683293 | + | 0.730144i | \(0.739453\pi\) | |||||||
\(740\) | −1.47251e6 | + | 454211.i | −0.0988508 | + | 0.0304914i | ||||
\(741\) | 30228.9 | − | 403377.i | 0.00202245 | − | 0.0269877i | ||||
\(742\) | 1.37297e7 | − | 6.01538e7i | 0.915487 | − | 4.01101i | ||||
\(743\) | 510489. | + | 1.30070e6i | 0.0339245 | + | 0.0864383i | 0.946832 | − | 0.321728i | \(-0.104264\pi\) |
−0.912908 | + | 0.408166i | \(0.866168\pi\) | |||||||
\(744\) | −142451. | − | 1.90087e6i | −0.00943479 | − | 0.125898i | ||||
\(745\) | −1.51747e6 | − | 228721.i | −0.100168 | − | 0.0150979i | ||||
\(746\) | 6.95638e6 | − | 6.45458e6i | 0.457653 | − | 0.424640i | ||||
\(747\) | −7.89764e6 | + | 3.80330e6i | −0.517840 | + | 0.249379i | ||||
\(748\) | −754374. | − | 514323.i | −0.0492984 | − | 0.0336111i | ||||
\(749\) | 1.42452e6 | − | 3.62962e6i | 0.0927820 | − | 0.236405i | ||||
\(750\) | −4.78708e6 | − | 1.47662e6i | −0.310755 | − | 0.0958551i | ||||
\(751\) | 1.61937e6 | + | 1.50255e6i | 0.104772 | + | 0.0972143i | 0.730820 | − | 0.682571i | \(-0.239138\pi\) |
−0.626048 | + | 0.779785i | \(0.715328\pi\) | |||||||
\(752\) | 3.76257e6 | + | 4.71812e6i | 0.242628 | + | 0.304246i | ||||
\(753\) | −1.09936e7 | − | 1.37855e7i | −0.706566 | − | 0.886006i | ||||
\(754\) | 1.33686e7 | + | 1.24042e7i | 0.856362 | + | 0.794588i | ||||
\(755\) | 662653. | + | 204401.i | 0.0423077 | + | 0.0130502i | ||||
\(756\) | 1.36341e7 | − | 3.47392e7i | 0.867608 | − | 2.21063i | ||||
\(757\) | −1.25216e7 | − | 8.53707e6i | −0.794181 | − | 0.541463i | 0.0969073 | − | 0.995293i | \(-0.469105\pi\) |
−0.891088 | + | 0.453830i | \(0.850057\pi\) | |||||||
\(758\) | 2.15645e7 | − | 1.03849e7i | 1.36322 | − | 0.656491i | ||||
\(759\) | −845163. | + | 784197.i | −0.0532520 | + | 0.0494106i | ||||
\(760\) | 13311.0 | + | 2006.32i | 0.000835945 | + | 0.000125998i | ||||
\(761\) | 1.79220e6 | + | 2.39152e7i | 0.112182 | + | 1.49697i | 0.715021 | + | 0.699103i | \(0.246417\pi\) |
−0.602838 | + | 0.797863i | \(0.705964\pi\) | |||||||
\(762\) | 1.18287e7 | + | 3.01391e7i | 0.737990 | + | 1.88037i | ||||
\(763\) | 1.18191e7 | − | 5.17829e7i | 0.734977 | − | 3.22014i | ||||
\(764\) | −1.59151e6 | + | 2.12372e7i | −0.0986449 | + | 1.31633i | ||||
\(765\) | −676081. | + | 208543.i | −0.0417681 | + | 0.0128838i | ||||
\(766\) | 7.14573e6 | + | 3.44120e6i | 0.440022 | + | 0.211904i | ||||
\(767\) | 4.49681e6 | + | 7.78870e6i | 0.276004 | + | 0.478054i | ||||
\(768\) | 4.44836e6 | − | 7.70478e6i | 0.272143 | − | 0.471365i | ||||
\(769\) | 1.46761e7 | − | 1.00060e7i | 0.894942 | − | 0.610161i | −0.0260850 | − | 0.999660i | \(-0.508304\pi\) |
0.921027 | + | 0.389499i | \(0.127352\pi\) | |||||||
\(770\) | −94128.4 | − | 412404.i | −0.00572129 | − | 0.0250666i | ||||
\(771\) | 1.46989e7 | − | 2.21551e6i | 0.890532 | − | 0.134226i | ||||
\(772\) | −1.86893e7 | + | 2.34356e7i | −1.12862 | + | 1.41525i | ||||
\(773\) | −6.81698e6 | −0.410339 | −0.205170 | − | 0.978726i | \(-0.565775\pi\) | ||||
−0.205170 | + | 0.978726i | \(0.565775\pi\) | |||||||
\(774\) | 643099. | + | 9.07568e6i | 0.0385856 | + | 0.544536i | ||||
\(775\) | 1.36227e7 | 0.814721 | ||||||||
\(776\) | 2.15149e6 | − | 2.69789e6i | 0.128258 | − | 0.160831i | ||||
\(777\) | −1.63460e7 | + | 2.46376e6i | −0.971311 | + | 0.146402i | ||||
\(778\) | −4.50946e6 | − | 1.97572e7i | −0.267101 | − | 1.17025i | ||||
\(779\) | 523947. | − | 357221.i | 0.0309346 | − | 0.0210908i | ||||
\(780\) | −1.19392e6 | + | 2.06793e6i | −0.0702649 | + | 0.121702i | ||||
\(781\) | −189131. | − | 327584.i | −0.0110952 | − | 0.0192174i | ||||
\(782\) | 2.64657e7 | + | 1.27452e7i | 1.54763 | + | 0.745299i | ||||
\(783\) | −1.29179e7 | + | 3.98465e6i | −0.752988 | + | 0.232266i | ||||
\(784\) | −2.98647e6 | + | 3.98517e7i | −0.173528 | + | 2.31556i | ||||
\(785\) | −778587. | + | 3.41121e6i | −0.0450955 | + | 0.197576i | ||||
\(786\) | −9.53409e6 | − | 2.42925e7i | −0.550456 | − | 1.40254i | ||||
\(787\) | −476017. | − | 6.35200e6i | −0.0273959 | − | 0.365573i | −0.994006 | − | 0.109322i | \(-0.965132\pi\) |
0.966610 | − | 0.256250i | \(-0.0824871\pi\) | |||||||
\(788\) | 3.19205e7 | + | 4.81124e6i | 1.83128 | + | 0.276021i | ||||
\(789\) | 3.16709e6 | − | 2.93863e6i | 0.181120 | − | 0.168055i | ||||
\(790\) | 118865. | − | 57242.5i | 0.00677622 | − | 0.00326325i | ||||
\(791\) | −4.06490e7 | − | 2.77140e7i | −2.30998 | − | 1.57492i | ||||
\(792\) | −29683.3 | + | 75631.9i | −0.00168151 | + | 0.00428442i | ||||
\(793\) | 3.32799e6 | + | 1.02655e6i | 0.187931 | + | 0.0579691i | ||||
\(794\) | 1.89452e7 | + | 1.75786e7i | 1.06647 | + | 0.989538i | ||||
\(795\) | −1.82463e6 | − | 2.28801e6i | −0.102390 | − | 0.128393i | ||||
\(796\) | −3.14589e6 | − | 3.94482e6i | −0.175979 | − | 0.220670i | ||||
\(797\) | 2.45000e6 | + | 2.27326e6i | 0.136622 | + | 0.126766i | 0.745524 | − | 0.666479i | \(-0.232199\pi\) |
−0.608902 | + | 0.793245i | \(0.708390\pi\) | |||||||
\(798\) | 1.18787e6 | + | 366410.i | 0.0660332 | + | 0.0203686i | ||||
\(799\) | −2.47751e6 | + | 6.31258e6i | −0.137293 | + | 0.349816i | ||||
\(800\) | −2.10246e7 | − | 1.43343e7i | −1.16145 | − | 0.791867i | ||||
\(801\) | −814475. | + | 392231.i | −0.0448535 | + | 0.0216003i | ||||
\(802\) | −184391. | + | 171090.i | −0.0101229 | + | 0.00939265i | ||||
\(803\) | −228731. | − | 34475.6i | −0.0125180 | − | 0.00188679i | ||||
\(804\) | 348740. | + | 4.65362e6i | 0.0190266 | + | 0.253893i | ||||
\(805\) | 2.63936e6 | + | 6.72498e6i | 0.143552 | + | 0.365764i | ||||
\(806\) | 5.50001e6 | − | 2.40971e7i | 0.298212 | − | 1.30655i | ||||
\(807\) | 323748. | − | 4.32011e6i | 0.0174994 | − | 0.233513i | ||||
\(808\) | −3.62571e6 | + | 1.11838e6i | −0.195373 | + | 0.0602646i | ||||
\(809\) | −7.19638e6 | − | 3.46560e6i | −0.386583 | − | 0.186169i | 0.230490 | − | 0.973075i | \(-0.425967\pi\) |
−0.617073 | + | 0.786906i | \(0.711682\pi\) | |||||||
\(810\) | −942490. | − | 1.63244e6i | −0.0504736 | − | 0.0874228i | ||||
\(811\) | 7.63217e6 | − | 1.32193e7i | 0.407470 | − | 0.705759i | −0.587135 | − | 0.809489i | \(-0.699744\pi\) |
0.994606 | + | 0.103730i | \(0.0330776\pi\) | |||||||
\(812\) | −2.45806e7 | + | 1.67588e7i | −1.30829 | + | 0.891974i | ||||
\(813\) | 1.60352e6 | + | 7.02549e6i | 0.0850841 | + | 0.372778i | ||||
\(814\) | 1.12565e6 | − | 169664.i | 0.0595444 | − | 0.00897487i | ||||
\(815\) | 402504. | − | 504724.i | 0.0212264 | − | 0.0266171i | ||||
\(816\) | 1.05326e7 | 0.553745 | ||||||||
\(817\) | −584881. | + | 85730.5i | −0.0306558 | + | 0.00449345i | ||||
\(818\) | −2.59200e7 | −1.35441 | ||||||||
\(819\) | 9.53841e6 | − | 1.19608e7i | 0.496897 | − | 0.623089i | ||||
\(820\) | −3.70154e6 | + | 557917.i | −0.192242 | + | 0.0289757i | ||||
\(821\) | −383332. | − | 1.67949e6i | −0.0198480 | − | 0.0869598i | 0.964034 | − | 0.265779i | \(-0.0856293\pi\) |
−0.983882 | + | 0.178820i | \(0.942772\pi\) | |||||||
\(822\) | −2.62979e7 | + | 1.79296e7i | −1.35751 | + | 0.925532i | ||||
\(823\) | −1.66441e7 | + | 2.88284e7i | −0.856565 | + | 1.48361i | 0.0186200 | + | 0.999827i | \(0.494073\pi\) |
−0.875185 | + | 0.483788i | \(0.839261\pi\) | |||||||
\(824\) | −1.55855e6 | − | 2.69949e6i | −0.0799656 | − | 0.138505i | ||||
\(825\) | 875931. | + | 421826.i | 0.0448059 | + | 0.0215774i | ||||
\(826\) | −2.64105e7 | + | 8.14657e6i | −1.34687 | + | 0.415455i | ||||
\(827\) | −242370. | + | 3.23421e6i | −0.0123230 | + | 0.164439i | 0.987647 | + | 0.156695i | \(0.0500840\pi\) |
−0.999970 | + | 0.00774372i | \(0.997535\pi\) | |||||||
\(828\) | 2.65802e6 | − | 1.16456e7i | 0.134736 | − | 0.590316i | ||||
\(829\) | 5.23845e6 | + | 1.33474e7i | 0.264738 | + | 0.674542i | 0.999995 | − | 0.00324692i | \(-0.00103353\pi\) |
−0.735256 | + | 0.677789i | \(0.762938\pi\) | |||||||
\(830\) | 473282. | + | 6.31551e6i | 0.0238465 | + | 0.318210i | ||||
\(831\) | −9.37887e6 | − | 1.41364e6i | −0.471138 | − | 0.0710126i | ||||
\(832\) | −2.00893e7 | + | 1.86402e7i | −1.00614 | + | 0.933558i | ||||
\(833\) | −4.04607e7 | + | 1.94848e7i | −2.02032 | + | 0.972937i | ||||
\(834\) | 3.36280e7 | + | 2.29272e7i | 1.67412 | + | 1.14139i | ||||
\(835\) | 1.23885e6 | − | 3.15654e6i | 0.0614898 | − | 0.156674i | ||||
\(836\) | −43422.8 | − | 13394.2i | −0.00214883 | − | 0.000662827i | ||||
\(837\) | 1.34309e7 | + | 1.24620e7i | 0.662661 | + | 0.614859i | ||||
\(838\) | 3.64070e7 | + | 4.56529e7i | 1.79091 | + | 2.24573i | ||||
\(839\) | −2.70349e6 | − | 3.39007e6i | −0.132593 | − | 0.166266i | 0.711103 | − | 0.703088i | \(-0.248196\pi\) |
−0.843696 | + | 0.536822i | \(0.819625\pi\) | |||||||
\(840\) | −624878. | − | 579802.i | −0.0305560 | − | 0.0283518i | ||||
\(841\) | −9.30196e6 | − | 2.86927e6i | −0.453508 | − | 0.139889i | ||||
\(842\) | −1.38849e6 | + | 3.53780e6i | −0.0674934 | + | 0.171970i | ||||
\(843\) | 2.52873e7 | + | 1.72406e7i | 1.22556 | + | 0.835572i | ||||
\(844\) | −5.70851e6 | + | 2.74907e6i | −0.275846 | + | 0.132840i | ||||
\(845\) | −473045. | + | 438922.i | −0.0227909 | + | 0.0211468i | ||||
\(846\) | 5.13683e6 | + | 774252.i | 0.246757 | + | 0.0371926i | ||||
\(847\) | −3.00008e6 | − | 4.00333e7i | −0.143689 | − | 1.91740i | ||||
\(848\) | −9.50588e6 | − | 2.42206e7i | −0.453944 | − | 1.15663i | ||||
\(849\) | 5.12145e6 | − | 2.24385e7i | 0.243851 | − | 1.06838i | ||||
\(850\) | 1.85108e6 | − | 2.47009e7i | 0.0878773 | − | 1.17264i | ||||
\(851\) | −1.85778e7 | + | 5.73049e6i | −0.879367 | + | 0.271249i | ||||
\(852\) | −5.91202e6 | − | 2.84708e6i | −0.279021 | − | 0.134370i | ||||
\(853\) | 2.39635e6 | + | 4.15060e6i | 0.112766 | + | 0.195316i | 0.916885 | − | 0.399153i | \(-0.130696\pi\) |
−0.804119 | + | 0.594469i | \(0.797362\pi\) | |||||||
\(854\) | −5.35139e6 | + | 9.26888e6i | −0.251086 | + | 0.434893i | ||||
\(855\) | −29094.7 | + | 19836.4i | −0.00136113 | + | 0.000928000i | ||||
\(856\) | 120404. | + | 527526.i | 0.00561640 | + | 0.0246070i | ||||
\(857\) | −4.06262e6 | + | 612342.i | −0.188953 | + | 0.0284801i | −0.242837 | − | 0.970067i | \(-0.578078\pi\) |
0.0538838 | + | 0.998547i | \(0.482840\pi\) | |||||||
\(858\) | 1.09981e6 | − | 1.37912e6i | 0.0510035 | − | 0.0639564i | ||||
\(859\) | −1.31753e7 | −0.609227 | −0.304613 | − | 0.952476i | \(-0.598527\pi\) | ||||
−0.304613 | + | 0.952476i | \(0.598527\pi\) | |||||||
\(860\) | 3.33025e6 | + | 1.04207e6i | 0.153543 | + | 0.0480452i | ||||
\(861\) | −4.01562e7 | −1.84606 | ||||||||
\(862\) | 616801. | − | 773444.i | 0.0282733 | − | 0.0354536i | ||||
\(863\) | 2.30718e7 | − | 3.47752e6i | 1.05452 | − | 0.158943i | 0.401174 | − | 0.916002i | \(-0.368602\pi\) |
0.653347 | + | 0.757059i | \(0.273364\pi\) | |||||||
\(864\) | −7.61552e6 | − | 3.33658e7i | −0.347069 | − | 1.52061i | ||||
\(865\) | −1.09604e6 | + | 747267.i | −0.0498065 | + | 0.0339575i | ||||
\(866\) | 6.77378e6 | − | 1.17325e7i | 0.306928 | − | 0.531615i | ||||
\(867\) | −2.83866e6 | − | 4.91671e6i | −0.128253 | − | 0.222140i | ||||
\(868\) | 3.63277e7 | + | 1.74945e7i | 1.63659 | + | 0.788138i | ||||
\(869\) | −49436.8 | + | 15249.2i | −0.00222076 | + | 0.000685013i | ||||
\(870\) | −198646. | + | 2.65074e6i | −0.00889776 | + | 0.118732i | ||||
\(871\) | −1.56415e6 | + | 6.85297e6i | −0.0698606 | + | 0.306079i | ||||
\(872\) | 2.69286e6 | + | 6.86130e6i | 0.119929 | + | 0.305573i | ||||
\(873\) | 674567. | + | 9.00147e6i | 0.0299564 | + | 0.399740i | ||||
\(874\) | 1.44567e6 | + | 217900.i | 0.0640164 | + | 0.00964891i | ||||
\(875\) | 9.02355e6 | − | 8.37264e6i | 0.398435 | − | 0.369694i | ||||
\(876\) | −3.61531e6 | + | 1.74104e6i | −0.159179 | + | 0.0766566i | ||||
\(877\) | 1.11057e7 | + | 7.57173e6i | 0.487581 | + | 0.332427i | 0.782031 | − | 0.623240i | \(-0.214184\pi\) |
−0.294450 | + | 0.955667i | \(0.595136\pi\) | |||||||
\(878\) | 2.28432e6 | − | 5.82035e6i | 0.100005 | − | 0.254808i | ||||
\(879\) | 1.00375e7 | + | 3.09615e6i | 0.438180 | + | 0.135161i | ||||
\(880\) | −130764. | − | 121331.i | −0.00569221 | − | 0.00528160i | ||||
\(881\) | 9.19170e6 | + | 1.15260e7i | 0.398985 | + | 0.500311i | 0.940223 | − | 0.340558i | \(-0.110616\pi\) |
−0.541239 | + | 0.840869i | \(0.682045\pi\) | |||||||
\(882\) | 2.14491e7 | + | 2.68964e7i | 0.928407 | + | 1.16419i | ||||
\(883\) | −1.76766e7 | − | 1.64015e7i | −0.762951 | − | 0.707915i | 0.199342 | − | 0.979930i | \(-0.436120\pi\) |
−0.962293 | + | 0.272015i | \(0.912310\pi\) | |||||||
\(884\) | −2.27971e7 | − | 7.03196e6i | −0.981179 | − | 0.302654i | ||||
\(885\) | −478922. | + | 1.22027e6i | −0.0205545 | + | 0.0523720i | ||||
\(886\) | 1.45493e7 | + | 9.91956e6i | 0.622671 | + | 0.424530i | ||||
\(887\) | 2.70286e7 | − | 1.30163e7i | 1.15349 | − | 0.555491i | 0.243410 | − | 0.969924i | \(-0.421734\pi\) |
0.910080 | + | 0.414432i | \(0.136020\pi\) | |||||||
\(888\) | 1.68161e6 | − | 1.56031e6i | 0.0715637 | − | 0.0664014i | ||||
\(889\) | −7.86679e7 | − | 1.18573e7i | −3.33844 | − | 0.503188i | ||||
\(890\) | 48809.1 | + | 651312.i | 0.00206550 | + | 0.0275622i | ||||
\(891\) | 270051. | + | 688080.i | 0.0113960 | + | 0.0290365i | ||||
\(892\) | −9.48108e6 | + | 4.15393e7i | −0.398975 | + | 1.74802i | ||||
\(893\) | −25222.3 | + | 336568.i | −0.00105842 | + | 0.0141236i | ||||
\(894\) | 1.87922e7 | − | 5.79664e6i | 0.786384 | − | 0.242567i | ||||
\(895\) | −262069. | − | 126206.i | −0.0109360 | − | 0.00526650i | ||||
\(896\) | −8.82599e6 | − | 1.52871e7i | −0.367277 | − | 0.636142i | ||||
\(897\) | −1.50629e7 | + | 2.60898e7i | −0.625070 | + | 1.08265i | ||||
\(898\) | 4.58568e7 | − | 3.12646e7i | 1.89764 | − | 1.29379i | ||||
\(899\) | −3.25011e6 | − | 1.42397e7i | −0.134122 | − | 0.587626i | ||||
\(900\) | −9.96012e6 | + | 1.50125e6i | −0.409881 | + | 0.0617797i | ||||
\(901\) | 1.82299e7 | − | 2.28595e7i | 0.748121 | − | 0.938114i | ||||
\(902\) | 2.76531e6 | 0.113169 | ||||||||
\(903\) | 3.36597e7 | + | 1.63783e7i | 1.37370 | + | 0.668420i | ||||
\(904\) | 6.82725e6 | 0.277859 | ||||||||
\(905\) | 2.83386e6 | − | 3.55355e6i | 0.115016 | − | 0.144225i | ||||
\(906\) | −8.78744e6 | + | 1.32449e6i | −0.355666 | + | 0.0536080i | ||||
\(907\) | 2.19474e6 | + | 9.61576e6i | 0.0885858 | + | 0.388120i | 0.999712 | − | 0.0240084i | \(-0.00764283\pi\) |
−0.911126 | + | 0.412128i | \(0.864786\pi\) | |||||||
\(908\) | −6.69022e6 | + | 4.56132e6i | −0.269293 | + | 0.183601i | ||||
\(909\) | 4.96269e6 | − | 8.59564e6i | 0.199208 | − | 0.345039i | ||||
\(910\) | −5.52655e6 | − | 9.57226e6i | −0.221233 | − | 0.383187i | ||||
\(911\) | −2.56596e7 | − | 1.23570e7i | −1.02436 | − | 0.493308i | −0.155227 | − | 0.987879i | \(-0.549611\pi\) |
−0.869137 | + | 0.494571i | \(0.835325\pi\) | |||||||
\(912\) | 500925. | − | 154515.i | 0.0199428 | − | 0.00615153i | ||||
\(913\) | 185593. | − | 2.47657e6i | 0.00736859 | − | 0.0983270i | ||||
\(914\) | −1.49598e7 | + | 6.55432e7i | −0.592326 | + | 2.59515i | ||||
\(915\) | 185459. | + | 472543.i | 0.00732312 | + | 0.0186590i | ||||
\(916\) | 3.51742e6 | + | 4.69367e7i | 0.138511 | + | 1.84831i | ||||
\(917\) | 6.34072e7 | + | 9.55710e6i | 2.49009 | + | 0.375321i | ||||
\(918\) | 2.44214e7 | − | 2.26597e7i | 0.956453 | − | 0.887459i | ||||
\(919\) | 3.91203e7 | − | 1.88393e7i | 1.52796 | − | 0.735829i | 0.533995 | − | 0.845487i | \(-0.320690\pi\) |
0.993969 | + | 0.109658i | \(0.0349756\pi\) | |||||||
\(920\) | −828338. | − | 564751.i | −0.0322655 | − | 0.0219982i | ||||
\(921\) | 6.15000e6 | − | 1.56699e7i | 0.238905 | − | 0.608721i | ||||
\(922\) | −3.32669e7 | − | 1.02615e7i | −1.28880 | − | 0.397541i | ||||
\(923\) | −7.24538e6 | − | 6.72273e6i | −0.279935 | − | 0.259742i | ||||
\(924\) | 1.79413e6 | + | 2.24977e6i | 0.0691313 | + | 0.0866879i | ||||
\(925\) | 1.02215e7 | + | 1.28173e7i | 0.392789 | + | 0.492542i | ||||
\(926\) | 1.26866e7 | + | 1.17714e7i | 0.486202 | + | 0.451130i | ||||
\(927\) | 7.79173e6 | + | 2.40343e6i | 0.297807 | + | 0.0918612i | ||||
\(928\) | −9.96746e6 | + | 2.53967e7i | −0.379940 | + | 0.968070i | ||||
\(929\) | 2.63378e7 | + | 1.79568e7i | 1.00125 | + | 0.682637i | 0.948764 | − | 0.315985i | \(-0.102335\pi\) |
0.0524808 | + | 0.998622i | \(0.483287\pi\) | |||||||
\(930\) | 3.24589e6 | − | 1.56314e6i | 0.123063 | − | 0.0592639i | ||||
\(931\) | −1.63844e6 | + | 1.52025e6i | −0.0619523 | + | 0.0574833i | ||||
\(932\) | 2.29895e7 | + | 3.46510e6i | 0.866940 | + | 0.130670i | ||||
\(933\) | −2594.85 | − | 34625.8i | −9.75905e−5 | − | 0.00130225i | ||||
\(934\) | −2.62172e7 | − | 6.68003e7i | −0.983374 | − | 2.50560i | ||||
\(935\) | 44605.1 | − | 195428.i | 0.00166861 | − | 0.00731066i | ||||
\(936\) | −158651. | + | 2.11705e6i | −0.00591908 | + | 0.0789846i | ||||
\(937\) | −2.63981e7 | + | 8.14272e6i | −0.982252 | + | 0.302985i | −0.743971 | − | 0.668212i | \(-0.767060\pi\) |
−0.238281 | + | 0.971196i | \(0.576584\pi\) | |||||||
\(938\) | −1.94623e7 | − | 9.37257e6i | −0.722251 | − | 0.347818i | ||||
\(939\) | −6.35104e6 | − | 1.10003e7i | −0.235061 | − | 0.407138i | ||||
\(940\) | 996179. | − | 1.72543e6i | 0.0367720 | − | 0.0636910i | ||||
\(941\) | 2.09236e7 | − | 1.42655e7i | 0.770306 | − | 0.525186i | −0.113219 | − | 0.993570i | \(-0.536116\pi\) |
0.883525 | + | 0.468384i | \(0.155164\pi\) | |||||||
\(942\) | −9.97758e6 | − | 4.37146e7i | −0.366351 | − | 1.60509i | ||||
\(943\) | −4.66999e7 | + | 7.03888e6i | −1.71016 | + | 0.257765i | ||||
\(944\) | −7.26684e6 | + | 9.11232e6i | −0.265409 | + | 0.332812i | ||||
\(945\) | 8.19335e6 | 0.298457 | ||||||||
\(946\) | −2.31794e6 | − | 1.12787e6i | −0.0842120 | − | 0.0409762i | ||||
\(947\) | 2.61732e7 | 0.948377 | 0.474189 | − | 0.880423i | \(-0.342741\pi\) | ||||
0.474189 | + | 0.880423i | \(0.342741\pi\) | |||||||
\(948\) | −559564. | + | 701671.i | −0.0202222 | + | 0.0253579i | ||||
\(949\) | −5.97666e6 | + | 900836.i | −0.215423 | + | 0.0324698i | ||||
\(950\) | −274330. | − | 1.20192e6i | −0.00986197 | − | 0.0432081i | ||||
\(951\) | 1.61511e7 | − | 1.10116e7i | 0.579096 | − | 0.394821i | ||||
\(952\) | 4.25834e6 | − | 7.37566e6i | 0.152282 | − | 0.263760i | ||||
\(953\) | 1.67672e6 | + | 2.90417e6i | 0.0598039 | + | 0.103583i | 0.894377 | − | 0.447313i | \(-0.147619\pi\) |
−0.834573 | + | 0.550897i | \(0.814286\pi\) | |||||||
\(954\) | −2.01800e7 | − | 9.71816e6i | −0.717876 | − | 0.345711i | ||||
\(955\) | −4.46795e6 | + | 1.37818e6i | −0.158526 | + | 0.0488988i | ||||
\(956\) | 3.63756e6 | − | 4.85398e7i | 0.128726 | − | 1.71772i | ||||
\(957\) | 231951. | − | 1.01624e6i | 0.00818683 | − | 0.0358688i | ||||
\(958\) | 1.74564e7 | + | 4.44783e7i | 0.614529 | + | 1.56579i | ||||
\(959\) | −5.84450e6 | − | 7.79894e7i | −0.205211 | − | 2.73835i | ||||
\(960\) | −3.94989e6 | − | 595350.i | −0.138327 | − | 0.0208494i | ||||
\(961\) | 6.47545e6 | − | 6.00834e6i | 0.226184 | − | 0.209868i | ||||
\(962\) | 2.67993e7 | − | 1.29059e7i | 0.933654 | − | 0.449624i | ||||
\(963\) | −1.16949e6 | − | 797343.i | −0.0406378 | − | 0.0277063i | ||||
\(964\) | −1.10591e7 | + | 2.81781e7i | −0.383289 | + | 0.976606i | ||||
\(965\) | −6.28867e6 | − | 1.93980e6i | −0.217391 | − | 0.0670561i | ||||
\(966\) | −6.78661e7 | − | 6.29705e7i | −2.33997 | − | 2.17117i | ||||
\(967\) | −2.47195e7 | − | 3.09973e7i | −0.850107 | − | 1.06600i | −0.997042 | − | 0.0768547i | \(-0.975512\pi\) |
0.146935 | − | 0.989146i | \(-0.453059\pi\) | |||||||
\(968\) | 3.47351e6 | + | 4.35564e6i | 0.119146 | + | 0.149405i | ||||
\(969\) | 431821. | + | 400672.i | 0.0147739 | + | 0.0137082i | ||||
\(970\) | 6.23204e6 | + | 1.92233e6i | 0.212667 | + | 0.0655992i | ||||
\(971\) | −1.03629e7 | + | 2.64044e7i | −0.352724 | + | 0.898726i | 0.638867 | + | 0.769317i | \(0.279403\pi\) |
−0.991591 | + | 0.129409i | \(0.958692\pi\) | |||||||
\(972\) | −1.93401e7 | − | 1.31859e7i | −0.656590 | − | 0.447655i | ||||
\(973\) | −9.01033e7 | + | 4.33914e7i | −3.05111 | + | 1.46934i | ||||
\(974\) | 3.54727e7 | − | 3.29139e7i | 1.19811 | − | 1.11168i | ||||
\(975\) | 2.51198e7 | + | 3.78620e6i | 0.846261 | + | 0.127553i | ||||
\(976\) | 337283. | + | 4.50074e6i | 0.0113337 | + | 0.151237i | ||||
\(977\) | 1.27645e7 | + | 3.25234e7i | 0.427826 | + | 1.09008i | 0.968536 | + | 0.248875i | \(0.0800607\pi\) |
−0.540709 | + | 0.841210i | \(0.681844\pi\) | |||||||
\(978\) | −1.84090e6 | + | 8.06550e6i | −0.0615435 | + | 0.269640i | ||||
\(979\) | 19140.0 | − | 255406.i | 0.000638242 | − | 0.00851675i | ||||
\(980\) | 1.26078e7 | − | 3.88898e6i | 0.419347 | − | 0.129351i | ||||
\(981\) | −1.73718e7 | − | 8.36580e6i | −0.576330 | − | 0.277546i | ||||
\(982\) | 2.92098e6 | + | 5.05928e6i | 0.0966605 | + | 0.167421i | ||||
\(983\) | −1.02326e6 | + | 1.77234e6i | −0.0337756 | + | 0.0585011i | −0.882419 | − | 0.470464i | \(-0.844086\pi\) |
0.848643 | + | 0.528965i | \(0.177420\pi\) | |||||||
\(984\) | 4.60426e6 | − | 3.13913e6i | 0.151591 | − | 0.103353i | ||||
\(985\) | 1.57707e6 | + | 6.90959e6i | 0.0517917 | + | 0.226914i | ||||
\(986\) | −2.62612e7 | + | 3.95824e6i | −0.860246 | + | 0.129661i | ||||
\(987\) | 1.33257e7 | − | 1.67099e7i | 0.435408 | − | 0.545985i | ||||
\(988\) | −1.18738e6 | −0.0386987 | ||||||||
\(989\) | 4.20157e7 | + | 1.31471e7i | 1.36591 | + | 0.427405i | ||||
\(990\) | −153557. | −0.00497946 | ||||||||
\(991\) | −1.35108e7 | + | 1.69420e7i | −0.437016 | + | 0.548001i | −0.950754 | − | 0.309946i | \(-0.899689\pi\) |
0.513738 | + | 0.857947i | \(0.328260\pi\) | |||||||
\(992\) | 3.65636e7 | − | 5.51108e6i | 1.17970 | − | 0.177811i | ||||
\(993\) | 7.58056e6 | + | 3.32126e7i | 0.243966 | + | 1.06888i | ||||
\(994\) | 2.50964e7 | − | 1.71104e7i | 0.805647 | − | 0.549281i | ||||
\(995\) | 553880. | − | 959349.i | 0.0177361 | − | 0.0307198i | ||||
\(996\) | −2.15412e7 | − | 3.73104e7i | −0.688052 | − | 1.19174i | ||||
\(997\) | 7.89982e6 | + | 3.80435e6i | 0.251698 | + | 0.121211i | 0.555479 | − | 0.831531i | \(-0.312535\pi\) |
−0.303781 | + | 0.952742i | \(0.598249\pi\) | |||||||
\(998\) | −2.82606e7 | + | 8.71723e6i | −0.898162 | + | 0.277046i | ||||
\(999\) | −1.64773e6 | + | 2.19875e7i | −0.0522364 | + | 0.697047i |
(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 | 43.6.g.a.24.4 | yes | 204 | |
43.9 | even | 21 | inner | 43.6.g.a.9.4 | ✓ | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.g.a.9.4 | ✓ | 204 | 43.9 | even | 21 | inner | |
43.6.g.a.24.4 | yes | 204 | 1.1 | even | 1 | trivial |